PYTHIA6/pythia_doc.ps

   1 %!PS-Adobe-2.0
   2 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software
   3 %%Title: pythia57_98dec.dvi
   4 %%Pages: 330
   5 %%PageOrder: Ascend
   6 %%BoundingBox: 0 0 596 842
   7 %%DocumentPaperSizes: A4
   8 %%EndComments
   9 %DVIPSCommandLine: /usr/local/bin/dvips pythia57_98dec
  10 %DVIPSParameters: dpi=600, comments removed
  11 %DVIPSSource:  TeX output 1998.12.29:1152
  12 %%BeginProcSet: tex.pro
  13 /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
  14 /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
  15 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
  16 ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
  17 isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
  18 hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
  19 TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
  20 forall round exch round exch]setmatrix}N /@landscape{/isls true N}B
  21 /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B
  22 /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{
  23 /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N
  24 string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N
  25 end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{
  26 /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]
  27 N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup
  28 length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{
  29 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub
  30 get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data
  31 dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N
  32 /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup
  33 /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx
  34 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff
  35 setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff
  36 .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]}
  37 if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup
  38 length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{
  39 cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin
  40 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
  41 add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict
  42 /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook
  43 known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
  44 /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
  45 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
  46 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
  47 {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
  48 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
  49 ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false
  50 RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1
  51 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform
  52 round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
  53 rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail
  54 {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M}
  55 B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{
  56 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{
  57 p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p
  58 a}B /bos{/SS save N}B /eos{SS restore}B end
  59 %%EndProcSet
  60 TeXDict begin 39158280 55380996 1000 600 600 (pythia57_98dec.dvi)
  61 @start /Fa 2 119 df<07E01FF000FFE07FFC00FFE1FFFF00FFE7E0FF80FFEF807F800F
  62 FE007FC00FFC003FC00FFC003FC00FF8003FC00FF8003FC00FF0003FC00FF0003FC00FF0
  63 003FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC00FF000
  64 3FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC00FF0003FC0FFFF03FF
  65 FCFFFF03FFFCFFFF03FFFCFFFF03FFFC261E7C9D2D>110 D<FFFF003FFCFFFF003FFCFF
  66 FF003FFCFFFF003FFC0FF80007C007F800078007FC000F8003FC000F0003FE001F0001FE
  67 001E0001FF003E0000FF003C0000FF807C00007F807800007FC0F800003FC0F000003FE1
  68 F000001FE1E000001FF3E000000FF3C000000FFFC0000007FF80000007FF80000003FF00
  69 000003FF00000001FE00000001FE00000000FC00000000FC00000000780000261E7E9D2B
  70 >118 D E /Fb 2 28 df<00000000003FF0000000000003FFFE00000000001FFFFF8000
  71 0000007FFFFFC000000001FFE07FE000000003FE001FF00000000FF8000FF80000001FE0
  72 000FF80000003F80000FFC0000007F00000FFC000000FC00000FFC000001F800000FFE00
  73 0003F000000FFE000007E000000FFE00000FC000000FFE00000F8000001FFE00001F8000
  74 001FFC00003F0000001FFC00003E0000001FFC00007E0000003FFC00007C0000003FF800
  75 00FC0000003FF80000F80000003FF80000F80000007FF00001F80000007FF00001F00000
  76 00FFE00001F0007FFEFFC00003F001FFFFFF800003E003FFFFFF000003E007FFFFFE0000
  77 03E007E00FFF000007E007C03FFF800007C007FFFFFFC00007C007FFFFFFC00007C003FF
  78 FFFFE0000FC000FFF07FF0000F800000007FF0000F800000007FF0000F800000007FF800
  79 1F800000007FF8001F000000007FF8001F000000007FF8001F000000007FF8003F000000
  80 00FFF8003E00000000FFF8003E00000000FFF8003E00000000FFF8007E00000001FFF800
  81 7C00000001FFF0007C00000001FFF0007C00000001FFF000FC00000003FFF000FC000000
  82 03FFE000FC00000003FFE000FC00000003FFC001FC00000007FFC001FC00000007FF8001
  83 FC0000000FFF8001FE0000000FFF0003FE0000001FFE0003FF0000001FFE0003FF000000
  84 3FFC0003FF8000007FF80007EFC00000FFF00007C7F00001FFE00007C3FC0007FF800007
  85 C1FF001FFF00000FC0FFFFFFFC00000F803FFFFFF000000F800FFFFFC000000F8003FFFE
  86 0000001F800006000000001F000000000000001F000000000000001F000000000000003F
  87 000000000000003E000000000000003E000000000000003E000000000000007E00000000
  88 0000007C000000000000007C000000000000007C00000000000000FC00000000000000F8
  89 00000000000000F800000000000000F800000000000000F800000000000000F000000000
  90 0000003F597EC542>12 D<000000FFFFFFFFF800000FFFFFFFFFFC00007FFFFFFFFFFC00
  91 00FFFFFFFFFFFE0003FFFFFFFFFFFE0007FFFFFFFFFFFC001FFFFFFFFFFFFC003FFFFFFF
  92 FFFFF8007FFFFFFFFFFFF000FFFFFFFFFFFFE001FFFE00FFFC000001FFF0003FFC000003
  93 FFC0001FFE000007FF80000FFE000007FF00000FFE00000FFE00000FFE00000FFE00000F
  94 FE00001FFC00000FFE00001FFC00000FFE00003FF800000FFE00003FF800000FFE00003F
  95 F800001FFE00007FF800001FFC00007FF000001FFC00007FF000001FFC00007FF000003F
  96 FC0000FFF000003FF80000FFE000003FF80000FFE000003FF80000FFE000007FF00000FF
  97 E000007FF00000FFE00000FFE000007FE00000FFC000007FE00001FFC000007FE00001FF
  98 8000007FE00003FF0000003FE00007FE0000003FF0000FFC0000001FF0001FF80000000F
  99 FC007FF000000007FF03FFE000000003FFFFFF8000000000FFFFFE00000000003FFFF000
 100 0000000007FF80000000003F2D7CAB44>27 D E /Fc 1 34 df<0000000000000000001E
 101 000000000000000000000000001F000000000000000000000000001F0000000000000000
 102 00000000001F000000000000000000000000001F000000000000000000000000001F8000
 103 00000000000000000000000F800000000000000000000000000F80000000000000000000
 104 0000000FC000000000000000000000000007C000000000000000000000000007C0000000
 105 00000000000000000007E000000000000000000000000003E00000000000000000000000
 106 0003F000000000000000000000000001F800000000000000000000000001F80000000000
 107 0000000000000000FC000000000000000000000000007E00000000000000000000000000
 108 7E000000000000000000000000003F000000000000000000000000001F80000000000000
 109 0000000000000FC000000000000000000000000007E000000000000000000000000007F0
 110 00000000000000000000000003FC00000000000000000000000001FE0000000000000000
 111 00000000007F800000000000000000000000003FC00000000000000000000000001FF000
 112 7FFFFFFFFFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF
 113 FFFFFFFFFF80FFFFFFFFFFFFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFFFFFFFFFFFE000000
 114 0000000000000000001FF00000000000000000000000003FC00000000000000000000000
 115 007F80000000000000000000000001FE00000000000000000000000003FC000000000000
 116 00000000000007F000000000000000000000000007E00000000000000000000000000FC0
 117 0000000000000000000000001F800000000000000000000000003F000000000000000000
 118 000000007E000000000000000000000000007E00000000000000000000000000FC000000
 119 00000000000000000001F800000000000000000000000001F80000000000000000000000
 120 0003F000000000000000000000000003E000000000000000000000000007E00000000000
 121 0000000000000007C000000000000000000000000007C00000000000000000000000000F
 122 C00000000000000000000000000F800000000000000000000000000F8000000000000000
 123 00000000001F800000000000000000000000001F000000000000000000000000001F0000
 124 00000000000000000000001F000000000000000000000000001F00000000000000000000
 125 0000001E00000000693F79BC78>33 D E /Fd 3 64 df<FFFFFFFFC0FFFFFFFFC0FFFFFF
 126 FFC022037A8D30>0 D<01E003F003F003F003F007E007E007C00FC00FC00F800F801F00
 127 1F001E001E003E003C003C007800780078007000F000E00060000C1A7E9B12>48
 128 D<0000180000000038000000003800000000380000000038000000003800000000380000
 129 000038000000003800000000380000000038000000003800000000380000000038000000
 130 003800000000380000000038000000003800000000380000000038000000003800000000
 131 380000000038000000003800000000380000000038000000003800000000380000000038
 132 00000000380000000038000000003800007FFFFFFFFEFFFFFFFFFE7FFFFFFFFE27237CA2
 133 31>63 D E /Fe 7 107 df<000FC000007FF00001F07C0003C01E0307801E060F000F06
 134 1E000F063E000F8C3E00078C7C0007987C0007987C0007B0F80007E0F80007E0F80007C0
 135 F80007807800078078000FC078001FC23C0073C31E03E1C60FFF81FC01FC007820177E95
 136 28>11 D<00000FC000007FE00000F0700001803800070038000E003C000C003C0018003C
 137 0030003C0070003C0060007800C0007800C0007000C000F0018000E00181FFC00183FF80
 138 0183FFC00301F9E0030000F0030000F0030000F0060000F8060000F8060000F8060000F8
 139 0C0001F00C0001F00C0001F00C0003E01C0003C01E0007C01E0007801B000F0031C03E00
 140 30FFF800307FE0003000000060000000600000006000000060000000C0000000C0000000
 141 C0000000C00000001E2E7EA323>I<03FFFFE00FFFFFE01FFFFFE03FFFFFC0780C0000E0
 142 0C0000C01C0000001C000000180000003800000038000000380000003800000078000000
 143 7000000070000000F0000000F0000000F0000001E0000001E0000000C000001B167D941D
 144 >28 D<00001FF0000000FFFE000007F01F80000F8007C0003E0003E0007C0001F000F800
 145 00F803F00000F803E00000FC07C000007C0F8000007C1F8000007E1F0000007E3F000000
 146 7E3E0000007E7E0000007E7E0000007EFC000000FCFC000000FCFC000000FCFC000000F8
 147 FC000001F8F8000001F8F8000003F0F8000003E0FC000007E0FC000007C07C01E00F807C
 148 07F01F003E0E183E003F18087C001F180DF0000FD80FE00003F81F800001FFFE0040003F
 149 EE004000000E00C000000F018000000F878000000FFF0000000FFF00000007FE00000007
 150 FC00000003F800000001E000272D7CA230>81 D<0000E00001F0000318000718000E1800
 151 0C18001C30003C3000383000783000786000706000F0C000F0C000E18001E18001E30001
 152 E60003C60003CC0003D80003F00003E00007E00007C0000780000780000F80001F800037
 153 8000678000C380100380300380E00181C001FF0000FE0015257FA31A>96
 154 D<0038007C007C00780070000000000000000000000000000007801FC038E030E060F0C1
 155 E0C1E0C1E003C003C003C0078007800F000F040F061E0C1E0C1E181C181E700FE007800F
 156 237DA116>105 D<00001800003C00007C00007C00003800000000000000000000000000
 157 0000000000000000000780001FE00038E00060F000C0F000C0F00180F00180F00001E000
 158 01E00001E00001E00003C00003C00003C00003C0000780000780000780000780000F0000
 159 0F00000F00000F00001E00001E00381E00783C00F83800F8780070F0007FC0001F000016
 160 2D81A119>I E /Ff 10 121 df<00003800000000380000000038000000003800000000
 161 380000000038000000003800000000380000000038000000003800000000380000000038
 162 0000000038000000003800000000380000000038000000003800000000380000FFFFFFFF
 163 FEFFFFFFFFFEFFFFFFFFFE00003800000000380000000038000000003800000000380000
 164 000038000000003800000000380000000038000000003800000000380000000038000000
 165 003800000000380000000038000000003800000000380000000038000027277C9F2F>43
 166 D<00FF0003FFC00781E00F00F01E00783C003C3C003C78001E78001E78001E78001EF800
 167 1FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF800
 168 1F78001E78001E7C003E3C003C3C003C1E00780F00F00781E003FFC000FF0018227DA01E
 169 >48 D<00E00001E00007E000FFE000F9E00001E00001E00001E00001E00001E00001E000
 170 01E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E000
 171 01E00001E00001E00001E00001E00001E00001E00003F000FFFFC0FFFFC012217AA01E>
 172 I<01FC0007FF801C0FC03003E06001F06000F8F800F8FC00FCFC00FCFC007C78007C3000
 173 FC0000FC0000F80000F80001F00003E00003C0000780000F00001E0000380000700000E0
 174 0001C00C03800C0600180C00181800183FFFF87FFFF8FFFFF0FFFFF016217CA01E>I<00
 175 00E00001E00001E00003E00007E00007E0000DE0001DE00039E00031E00061E000E1E000
 176 C1E00181E00381E00701E00601E00C01E01C01E01801E03001E07001E0E001E0FFFFFFFF
 177 FFFF0001E00001E00001E00001E00001E00001E00003F0003FFF003FFF18227DA11E>52
 178 D<01FC00000FFF00001E0780003C03C0003E01E0003E00E0003E00F0001C00F0000000F0
 179 000001F00000FFF00007FFF0001FC0F0003F00F0007C00F0007C00F000F800F0C0F800F0
 180 C0F800F0C0F801F0C07C0370C03E0E79801FFC3F0007F01E001A187D961E>97
 181 D<0C003F003F003F003F000C0000000000000000000000000000000F00FF00FF001F000F
 182 000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00FFE0FFE00B
 183 237DA212>105 D<0F07F007F000FF1FFC1FFC00FF703E703E001FC01EC01E000F800F80
 184 0F000F800F800F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00
 185 0F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00
 186 0F000F000F000F000F000F000F000F000F000F00FFF0FFF0FFF0FFF0FFF0FFF02C167D95
 187 32>109 D<0F07F000FF1FFC00FF703E001FC01E000F800F000F800F000F000F000F000F
 188 000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F
 189 000F000F000F000F000F000F00FFF0FFF0FFF0FFF01C167D9522>I<7FE07FE07FE07FE0
 190 0FC03F0007C03C0003E0380001F0700000F8E000007DC000003F8000001F0000000F0000
 191 001F8000003BC0000071E00000E0F00001C0780003807C0007803E001F803F00FFC07FF0
 192 FFC07FF01C157E9420>120 D E /Fg 40 119 df<F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
 193 F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
 194 F0F0F0043674811C>12 D<0000001E0000003E0000007C000000F8000001F0000003E000
 195 0007E000000FC000001F8000001F0000003F0000007E000000FC000000FC000001F80000
 196 03F0000003F0000007E0000007E000000FC000000FC000001F8000001F8000003F000000
 197 3F0000007E0000007E000000FE000000FC000001FC000001F8000001F8000003F8000003
 198 F0000003F0000007F0000007F0000007E000000FE000000FE000000FE000000FC000001F
 199 C000001FC000001FC000001FC000001F8000003F8000003F8000003F8000003F8000003F
 200 8000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F
 201 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE
 202 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE
 203 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000007F
 204 0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000003F
 205 8000003F8000003F8000003F8000003F8000001F8000001FC000001FC000001FC000001F
 206 C000000FC000000FE000000FE000000FE0000007E0000007F0000007F0000003F0000003
 207 F0000003F8000001F8000001F8000001FC000000FC000000FE0000007E0000007E000000
 208 3F0000003F0000001F8000001F8000000FC000000FC0000007E0000007E0000003F00000
 209 03F0000001F8000000FC000000FC0000007E0000003F0000001F0000001F8000000FC000
 210 0007E0000003E0000001F0000000F80000007C0000003E0000001E1F94718232>16
 211 D<F0000000F80000007C0000003E0000001F0000000F8000000FC0000007E0000003F000
 212 0001F0000001F8000000FC0000007E0000007E0000003F0000001F8000001F8000000FC0
 213 00000FC0000007E0000007E0000003F0000003F0000001F8000001F8000000FC000000FC
 214 000000FE0000007E0000007F0000003F0000003F0000003F8000001F8000001F8000001F
 215 C000001FC000000FC000000FE000000FE000000FE0000007E0000007F0000007F0000007
 216 F0000007F0000003F0000003F8000003F8000003F8000003F8000003F8000001FC000001
 217 FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000000FE000000
 218 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
 219 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
 220 FE000000FE000000FE000000FE000000FE000000FE000000FE000001FC000001FC000001
 221 FC000001FC000001FC000001FC000001FC000001FC000001FC000003F8000003F8000003
 222 F8000003F8000003F8000003F0000007F0000007F0000007F0000007F0000007E000000F
 223 E000000FE000000FE000000FC000001FC000001FC000001F8000001F8000003F8000003F
 224 0000003F0000007F0000007E000000FE000000FC000000FC000001F8000001F8000003F0
 225 000003F0000007E0000007E000000FC000000FC000001F8000001F8000003F0000007E00
 226 00007E000000FC000001F8000001F0000003F0000007E000000FC000000F8000001F0000
 227 003E0000007C000000F8000000F00000001F947D8232>I<000000000F000000001F0000
 228 00003E000000007C00000000F800000001F000000003E000000007C00000000FC0000000
 229 1F800000001F000000003E000000007E00000000FC00000001F800000001F000000003F0
 230 00000007E000000007C00000000FC00000001F800000001F800000003F000000003E0000
 231 00007E00000000FC00000000FC00000001F800000001F800000003F000000003F0000000
 232 07E000000007E00000000FE00000000FC00000000FC00000001F800000001F800000003F
 233 800000003F000000003F000000007F000000007E00000000FE00000000FE00000000FC00
 234 000001FC00000001FC00000001F800000003F800000003F800000003F800000003F00000
 235 0007F000000007F000000007F000000007E00000000FE00000000FE00000000FE0000000
 236 0FC00000000FC00000001FC00000001FC00000001FC00000001FC00000001F800000003F
 237 800000003F800000003F800000003F800000003F800000003F800000003F000000007F00
 238 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000
 239 00007F000000007F00000000FE00000000FE00000000FE00000000FE00000000FE000000
 240 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 241 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 242 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 243 000000FE00000000FE00000000FE000000007F000000007F000000007F000000007F0000
 244 00007F000000007F000000007F000000007F000000007F000000007F000000003F000000
 245 003F800000003F800000003F800000003F800000003F800000003F800000001F80000000
 246 1FC00000001FC00000001FC00000001FC00000000FC00000000FC00000000FE00000000F
 247 E00000000FE000000007E000000007F000000007F000000007F000000003F000000003F8
 248 00000003F800000003F800000001F800000001FC00000001FC00000000FC00000000FE00
 249 000000FE000000007E000000007F000000003F000000003F000000003F800000001F8000
 250 00001F800000000FC00000000FC00000000FE000000007E000000007E000000003F00000
 251 0003F000000001F800000001F800000000FC00000000FC000000007E000000003E000000
 252 003F000000001F800000001F800000000FC000000007C000000007E000000003F0000000
 253 01F000000001F800000000FC000000007E000000003E000000001F000000001F80000000
 254 0FC000000007C000000003E000000001F000000000F8000000007C000000003E00000000
 255 1F000000000F28C66E823D>I<F000000000F8000000007C000000003E000000001F0000
 256 00000F8000000007C000000003E000000003F000000001F800000000F8000000007C0000
 257 00007E000000003F000000001F800000000F800000000FC000000007E000000003E00000
 258 0003F000000001F800000001F800000000FC000000007C000000007E000000003F000000
 259 003F000000001F800000001F800000000FC00000000FC000000007E000000007E0000000
 260 07F000000003F000000003F000000001F800000001F800000001FC00000000FC00000000
 261 FC00000000FE000000007E000000007F000000007F000000003F000000003F800000003F
 262 800000001F800000001FC00000001FC00000001FC00000000FC00000000FE00000000FE0
 263 0000000FE000000007E000000007F000000007F000000007F000000003F000000003F000
 264 000003F800000003F800000003F800000003F800000001F800000001FC00000001FC0000
 265 0001FC00000001FC00000001FC00000001FC00000000FC00000000FE00000000FE000000
 266 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 267 FE000000007F000000007F000000007F000000007F000000007F000000007F000000007F
 268 000000007F000000007F000000007F000000007F000000007F000000007F000000007F00
 269 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000
 270 00007F000000007F000000007F000000007F000000007F000000007F000000007F000000
 271 007F000000007F00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 272 FE00000000FE00000000FE00000000FE00000000FE00000000FC00000001FC00000001FC
 273 00000001FC00000001FC00000001FC00000001FC00000001F800000003F800000003F800
 274 000003F800000003F800000003F000000003F000000007F000000007F000000007F00000
 275 0007E00000000FE00000000FE00000000FE00000000FC00000001FC00000001FC0000000
 276 1FC00000001F800000003F800000003F800000003F000000007F000000007F000000007E
 277 00000000FE00000000FC00000000FC00000001FC00000001F800000001F800000003F000
 278 000003F000000007F000000007E000000007E00000000FC00000000FC00000001F800000
 279 001F800000003F000000003F000000007E000000007C00000000FC00000001F800000001
 280 F800000003F000000003E000000007E00000000FC00000000F800000001F800000003F00
 281 0000007E000000007C00000000F800000001F800000003F000000003E000000007C00000
 282 000F800000001F000000003E000000007C00000000F800000000F00000000028C67E823D
 283 >I<000000001E000000007E00000001FE00000007FE0000000FF80000003FE00000007F
 284 C0000000FF80000001FE00000003FC00000007F800000007F00000000FF00000001FE000
 285 00001FC00000003FC00000003F800000007F800000007F000000007F00000000FF000000
 286 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 287 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 288 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 289 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
 290 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
 291 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 292 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 293 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000001FE00
 294 000001FC00000001FC00000001FC00000003F800000003F800000007F800000007F00000
 295 000FE00000000FE00000001FC00000003F800000007F80000000FF00000001FE00000003
 296 FC00000007F00000001FE00000003FC0000000FF00000000FC00000000FC00000000FF00
 297 0000003FC00000001FE000000007F000000003FC00000001FE00000000FF000000007F80
 298 0000003F800000001FC00000000FE00000000FE000000007F000000007F800000003F800
 299 000003F800000001FC00000001FC00000001FC00000001FE00000000FE00000000FE0000
 300 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
 301 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 302 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 303 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 304 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
 305 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
 306 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 307 FE00000000FE00000000FE00000000FE00000000FE00000000FF000000007F000000007F
 308 000000007F800000003F800000003FC00000001FC00000001FE00000000FF000000007F0
 309 00000007F800000003FC00000001FE00000000FF800000007FC00000003FE00000000FF8
 310 00000007FE00000001FE000000007E000000001E27C675823E>26
 311 D<F000000000FC00000000FF00000000FFC00000003FE00000000FF800000007FC000000
 312 03FE00000000FF000000007F800000003FC00000001FC00000001FE00000000FF0000000
 313 07F000000007F800000003F800000003FC00000001FC00000001FC00000001FE00000000
 314 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 315 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 316 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
 317 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
 318 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 319 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 320 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 321 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FF0000
 322 00007F000000007F000000007F000000003F800000003F800000003FC00000001FC00000
 323 000FE00000000FE000000007F000000003F800000003FC00000001FE00000000FF000000
 324 007F800000001FC00000000FF000000007F800000001FE000000007E000000007E000000
 325 01FE00000007F80000000FF00000001FC00000007F80000000FF00000001FE00000003FC
 326 00000003F800000007F00000000FE00000000FE00000001FC00000003FC00000003F8000
 327 00003F800000007F000000007F000000007F00000000FF00000000FE00000000FE000000
 328 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 329 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 330 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
 331 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
 332 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
 333 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
 334 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
 335 00000000FE00000000FE00000000FE00000000FE00000001FE00000001FC00000001FC00
 336 000003FC00000003F800000007F800000007F00000000FF00000001FE00000001FC00000
 337 003FC00000007F80000000FF00000003FE00000007FC0000000FF80000003FE0000000FF
 338 C0000000FF00000000FC00000000F00000000027C675823E>I<0000000001E000000000
 339 03E00000000007C0000000000F80000000001F80000000001F00000000003E0000000000
 340 7C0000000000F80000000001F80000000001F00000000003E00000000007E0000000000F
 341 C0000000000F80000000001F80000000003F00000000003E00000000007E0000000000FC
 342 0000000000FC0000000001F80000000003F80000000003F00000000007F00000000007E0
 343 000000000FE0000000000FC0000000001FC0000000001F80000000003F80000000003F00
 344 000000007F00000000007E0000000000FE0000000000FC0000000001FC0000000001FC00
 345 00000001F80000000003F80000000003F00000000007F00000000007F00000000007E000
 346 0000000FE0000000000FE0000000001FC0000000001FC0000000001FC0000000003F8000
 347 0000003F80000000003F80000000007F80000000007F00000000007F0000000000FF0000
 348 000000FE0000000000FE0000000000FE0000000001FE0000000001FC0000000001FC0000
 349 000001FC0000000003FC0000000003FC0000000003F80000000003F80000000007F80000
 350 000007F80000000007F80000000007F00000000007F0000000000FF0000000000FF00000
 351 00000FF0000000000FE0000000000FE0000000000FE0000000001FE0000000001FE00000
 352 00001FE0000000001FE0000000001FC0000000001FC0000000003FC0000000003FC00000
 353 00003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003F800000
 354 00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
 355 00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
 356 00007F0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 357 0000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 358 0000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 359 0000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 360 0000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 361 0000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF000000
 362 0000FF0000000000FF0000000000FF00000000007F00000000007F80000000007F800000
 363 00007F80000000007F80000000007F80000000007F80000000007F80000000007F800000
 364 00007F80000000007F80000000007F80000000007F80000000003F80000000003FC00000
 365 00003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC00000
 366 00001FC0000000001FC0000000001FE0000000001FE0000000001FE0000000001FE00000
 367 00000FE0000000000FE0000000000FE0000000000FF0000000000FF0000000000FF00000
 368 000007F00000000007F00000000007F80000000007F80000000007F80000000003F80000
 369 000003F80000000003FC0000000003FC0000000001FC0000000001FC0000000001FC0000
 370 000001FE0000000000FE0000000000FE0000000000FE0000000000FF00000000007F0000
 371 0000007F00000000007F80000000003F80000000003F80000000003F80000000001FC000
 372 0000001FC0000000001FC0000000000FE0000000000FE00000000007E00000000007F000
 373 00000007F00000000003F00000000003F80000000001F80000000001FC0000000001FC00
 374 00000000FC0000000000FE00000000007E00000000007F00000000003F00000000003F80
 375 000000001F80000000001FC0000000000FC0000000000FE00000000007E00000000007F0
 376 0000000003F00000000003F80000000001F80000000000FC0000000000FC00000000007E
 377 00000000003E00000000003F00000000001F80000000000F80000000000FC00000000007
 378 E00000000003E00000000001F00000000001F80000000000F800000000007C0000000000
 379 3E00000000001F00000000001F80000000000F800000000007C00000000003E000000000
 380 01E02BF86C8242>32 D<F00000000000F800000000007C00000000003E00000000003F00
 381 000000001F00000000000F800000000007C00000000003E00000000003F00000000001F0
 382 0000000000F80000000000FC00000000007E00000000003E00000000003F00000000001F
 383 80000000000F80000000000FC00000000007E00000000007E00000000003F00000000003
 384 F80000000001F80000000001FC0000000000FC0000000000FE00000000007E0000000000
 385 7F00000000003F00000000003F80000000001F80000000001FC0000000000FC000000000
 386 0FE00000000007E00000000007F00000000007F00000000003F00000000003F800000000
 387 01F80000000001FC0000000001FC0000000000FC0000000000FE0000000000FE00000000
 388 007F00000000007F00000000007F00000000003F80000000003F80000000003F80000000
 389 003FC0000000001FC0000000001FC0000000001FE0000000000FE0000000000FE0000000
 390 000FE0000000000FF00000000007F00000000007F00000000007F00000000007F8000000
 391 0007F80000000003F80000000003F80000000003FC0000000003FC0000000003FC000000
 392 0001FC0000000001FC0000000001FE0000000001FE0000000001FE0000000000FE000000
 393 0000FE0000000000FE0000000000FF0000000000FF0000000000FF0000000000FF000000
 394 00007F00000000007F00000000007F80000000007F80000000007F80000000007F800000
 395 00007F80000000007F80000000007F80000000003F80000000003FC0000000003FC00000
 396 00003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC00000
 397 00003FC0000000003FC0000000003FC0000000003FC0000000001FC0000000001FE00000
 398 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 399 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 400 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 401 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 402 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 403 00001FE0000000001FE0000000001FE0000000001FE0000000001FE0000000001FE00000
 404 00001FE0000000001FC0000000003FC0000000003FC0000000003FC0000000003FC00000
 405 00003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC00000
 406 00003FC0000000003FC0000000003F80000000007F80000000007F80000000007F800000
 407 00007F80000000007F80000000007F80000000007F80000000007F00000000007F000000
 408 0000FF0000000000FF0000000000FF0000000000FF0000000000FE0000000000FE000000
 409 0000FE0000000001FE0000000001FE0000000001FE0000000001FC0000000001FC000000
 410 0003FC0000000003FC0000000003FC0000000003F80000000003F80000000007F8000000
 411 0007F80000000007F00000000007F00000000007F0000000000FF0000000000FE0000000
 412 000FE0000000000FE0000000001FE0000000001FC0000000001FC0000000003FC0000000
 413 003F80000000003F80000000003F80000000007F00000000007F00000000007F00000000
 414 00FE0000000000FE0000000000FC0000000001FC0000000001FC0000000001F800000000
 415 03F80000000003F00000000007F00000000007F00000000007E0000000000FE000000000
 416 0FC0000000001FC0000000001F80000000003F80000000003F00000000007F0000000000
 417 7E0000000000FE0000000000FC0000000001FC0000000001F80000000003F80000000003
 418 F00000000007E00000000007E0000000000FC0000000000F80000000001F80000000003F
 419 00000000003E00000000007E0000000000FC0000000000F80000000001F00000000003F0
 420 0000000003E00000000007C0000000000F80000000001F00000000003F00000000003E00
 421 000000007C0000000000F80000000000F000000000002BF87E8242>I<FFFFFF80FFFFFF
 422 80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FC000000FC000000FC000000FC000000FC0000
 423 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 424 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 425 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 426 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 427 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 428 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 429 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 430 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 431 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 432 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 433 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 434 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 435 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 436 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 437 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 438 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 439 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 440 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 441 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 442 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 443 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 444 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 445 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 446 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 447 00FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0000
 448 00FC000000FC000000FC000000FC000000FC000000FC000000FFFFFF80FFFFFF80FFFFFF
 449 80FFFFFF80FFFFFF80FFFFFF8019F86A8230>I<FFFFFF80FFFFFF80FFFFFF80FFFFFF80
 450 FFFFFF80FFFFFF8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 451 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 452 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 453 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 454 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 455 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 456 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 457 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 458 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 459 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 460 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 461 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 462 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 463 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 464 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 465 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 466 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 467 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 468 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 469 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 470 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 471 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 472 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 473 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 474 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 475 00001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80
 476 00001F8000001F8000001F8000001F80FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF80
 477 FFFFFF8019F8808230>I<0000000003C0000000000FC0000000003FC0000000007FC000
 478 000001FF0000000003FE0000000007FC000000000FF0000000001FE0000000003FC00000
 479 00007F8000000000FF0000000001FF0000000001FE0000000003FC0000000007FC000000
 480 0007F8000000000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000
 481 003FC0000000003FC0000000003FC0000000003FC0000000007F80000000007F80000000
 482 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 483 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 484 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 485 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 486 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 487 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 488 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 489 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 490 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 491 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 492 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 493 007F80000000007F80000000007F80000000007F8000000000FF8000000000FF00000000
 494 00FF0000000000FF0000000001FF0000000001FE0000000001FE0000000003FC00000000
 495 03FC0000000003F80000000007F80000000007F0000000000FF0000000001FE000000000
 496 1FC0000000003FC0000000007F8000000000FF0000000001FE0000000003FC0000000007
 497 F8000000000FF0000000001FC0000000003F8000000000FF0000000000FC0000000000FC
 498 0000000000FF00000000003F80000000001FC0000000000FF00000000007F80000000003
 499 FC0000000001FE0000000000FF00000000007F80000000003FC0000000001FC000000000
 500 1FE0000000000FF00000000007F00000000007F80000000003F80000000003FC00000000
 501 03FC0000000001FE0000000001FE0000000001FF0000000000FF0000000000FF00000000
 502 00FF0000000000FF80000000007F80000000007F80000000007F80000000007F80000000
 503 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 504 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 505 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 506 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 507 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 508 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 509 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 510 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 511 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 512 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 513 007F80000000007F80000000007F80000000007F80000000007F80000000007F80000000
 514 007F80000000007F80000000003FC0000000003FC0000000003FC0000000003FC0000000
 515 001FE0000000001FE0000000001FF0000000000FF0000000000FF00000000007F8000000
 516 0007FC0000000003FC0000000001FE0000000001FF0000000000FF00000000007F800000
 517 00003FC0000000001FE0000000000FF00000000007FC0000000003FE0000000001FF0000
 518 0000007FC0000000003FC0000000000FC00000000003C02AF8748243>40
 519 D<F00000000000FC0000000000FF0000000000FF80000000003FE0000000001FF0000000
 520 000FF80000000003FC0000000001FE0000000000FF00000000007F80000000003FC00000
 521 00003FE0000000001FE0000000000FF0000000000FF80000000007F80000000003FC0000
 522 000003FC0000000003FE0000000001FE0000000001FE0000000000FF0000000000FF0000
 523 000000FF0000000000FF00000000007F80000000007F80000000007F80000000007F8000
 524 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 525 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 526 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 527 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 528 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 529 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 530 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 531 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 532 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 533 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 534 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 535 0000007F80000000007F80000000007FC0000000003FC0000000003FC0000000003FC000
 536 0000003FE0000000001FE0000000001FE0000000000FF0000000000FF00000000007F000
 537 00000007F80000000003F80000000003FC0000000001FE0000000000FE0000000000FF00
 538 000000007F80000000003FC0000000001FE0000000000FF00000000007F80000000003FC
 539 0000000000FE00000000007F00000000003FC0000000000FC0000000000FC0000000003F
 540 C0000000007F0000000000FE0000000003FC0000000007F8000000000FF0000000001FE0
 541 000000003FC0000000007F8000000000FF0000000000FE0000000001FE0000000003FC00
 542 00000003F80000000007F80000000007F0000000000FF0000000000FF0000000001FE000
 543 0000001FE0000000003FE0000000003FC0000000003FC0000000003FC0000000007FC000
 544 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 545 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 546 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 547 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 548 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 549 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 550 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 551 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 552 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 553 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 554 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 555 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000
 556 000000FF0000000000FF0000000000FF0000000000FF0000000001FE0000000001FE0000
 557 000003FE0000000003FC0000000003FC0000000007F8000000000FF8000000000FF00000
 558 00001FE0000000003FE0000000003FC0000000007F8000000000FF0000000001FE000000
 559 0003FC000000000FF8000000001FF0000000003FE000000000FF8000000000FF00000000
 560 00FC0000000000F000000000002AF8748243>I<0000000000600000000000F000000000
 561 01F80000000001F80000000001F80000000003F00000000003F00000000003F000000000
 562 07E00000000007E00000000007E0000000000FC0000000000FC0000000000FC000000000
 563 1F80000000001F80000000001F80000000003F00000000003F00000000003F0000000000
 564 7E00000000007E00000000007E0000000000FC0000000000FC0000000000FC0000000001
 565 F80000000001F80000000001F80000000003F00000000003F00000000003F00000000007
 566 E00000000007E00000000007E00000000007E0000000000FC0000000000FC0000000000F
 567 C0000000001F80000000001F80000000001F80000000003F00000000003F00000000003F
 568 00000000007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC
 569 0000000001F80000000001F80000000001F80000000003F00000000003F00000000003F0
 570 0000000007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC0
 571 000000001F80000000001F80000000001F80000000001F80000000003F00000000003F00
 572 000000003F00000000007E00000000007E00000000007E0000000000FC0000000000FC00
 573 00000000FC0000000001F80000000001F80000000001F80000000003F00000000003F000
 574 00000003F00000000007E00000000007E00000000007E0000000000FC0000000000FC000
 575 0000000FC0000000001F80000000001F80000000001F80000000003F00000000003F0000
 576 0000003F00000000003F00000000007E00000000007E00000000007E0000000000FC0000
 577 000000FC0000000000FC0000000001F80000000001F80000000001F80000000003F00000
 578 000003F00000000003F00000000007E00000000007E00000000007E0000000000FC00000
 579 00000FC0000000000FC0000000001F80000000001F80000000001F80000000003F000000
 580 00003F00000000003F00000000007E00000000007E00000000007E0000000000FC000000
 581 0000FC0000000000FC0000000000FC00000000007E00000000007E00000000007E000000
 582 00003F00000000003F00000000003F00000000001F80000000001F80000000001F800000
 583 00000FC0000000000FC0000000000FC00000000007E00000000007E00000000007E00000
 584 000003F00000000003F00000000003F00000000001F80000000001F80000000001F80000
 585 000000FC0000000000FC0000000000FC00000000007E00000000007E00000000007E0000
 586 0000003F00000000003F00000000003F00000000003F00000000001F80000000001F8000
 587 0000001F80000000000FC0000000000FC0000000000FC00000000007E00000000007E000
 588 00000007E00000000003F00000000003F00000000003F00000000001F80000000001F800
 589 00000001F80000000000FC0000000000FC0000000000FC00000000007E00000000007E00
 590 000000007E00000000003F00000000003F00000000003F00000000001F80000000001F80
 591 000000001F80000000001F80000000000FC0000000000FC0000000000FC00000000007E0
 592 0000000007E00000000007E00000000003F00000000003F00000000003F00000000001F8
 593 0000000001F80000000001F80000000000FC0000000000FC0000000000FC00000000007E
 594 00000000007E00000000007E00000000003F00000000003F00000000003F00000000001F
 595 80000000001F80000000001F80000000000FC0000000000FC0000000000FC00000000007
 596 E00000000007E00000000007E00000000007E00000000003F00000000003F00000000003
 597 F00000000001F80000000001F80000000001F80000000000FC0000000000FC0000000000
 598 FC00000000007E00000000007E00000000007E00000000003F00000000003F0000000000
 599 3F00000000001F80000000001F80000000001F80000000000FC0000000000FC000000000
 600 0FC00000000007E00000000007E00000000007E00000000003F00000000003F000000000
 601 03F00000000001F80000000001F80000000001F80000000000F00000000000602DF87482
 602 43>I<300000000000780000000000FC0000000000FC0000000000FC00000000007E0000
 603 0000007E00000000007E00000000003F00000000003F00000000003F00000000001F8000
 604 0000001F80000000001F80000000000FC0000000000FC0000000000FC00000000007E000
 605 00000007E00000000007E00000000003F00000000003F00000000003F00000000001F800
 606 00000001F80000000001F80000000000FC0000000000FC0000000000FC00000000007E00
 607 000000007E00000000007E00000000003F00000000003F00000000003F00000000003F00
 608 000000001F80000000001F80000000001F80000000000FC0000000000FC0000000000FC0
 609 0000000007E00000000007E00000000007E00000000003F00000000003F00000000003F0
 610 0000000001F80000000001F80000000001F80000000000FC0000000000FC0000000000FC
 611 00000000007E00000000007E00000000007E00000000003F00000000003F00000000003F
 612 00000000001F80000000001F80000000001F80000000000FC0000000000FC0000000000F
 613 C0000000000FC00000000007E00000000007E00000000007E00000000003F00000000003
 614 F00000000003F00000000001F80000000001F80000000001F80000000000FC0000000000
 615 FC0000000000FC00000000007E00000000007E00000000007E00000000003F0000000000
 616 3F00000000003F00000000001F80000000001F80000000001F80000000000FC000000000
 617 0FC0000000000FC00000000007E00000000007E00000000007E00000000007E000000000
 618 03F00000000003F00000000003F00000000001F80000000001F80000000001F800000000
 619 00FC0000000000FC0000000000FC00000000007E00000000007E00000000007E00000000
 620 003F00000000003F00000000003F00000000001F80000000001F80000000001F80000000
 621 000FC0000000000FC0000000000FC00000000007E00000000007E00000000007E0000000
 622 0003F00000000003F00000000003F00000000001F80000000001F80000000001F8000000
 623 0001F80000000003F00000000003F00000000003F00000000007E00000000007E0000000
 624 0007E0000000000FC0000000000FC0000000000FC0000000001F80000000001F80000000
 625 001F80000000003F00000000003F00000000003F00000000007E00000000007E00000000
 626 007E0000000000FC0000000000FC0000000000FC0000000001F80000000001F800000000
 627 01F80000000003F00000000003F00000000003F00000000007E00000000007E000000000
 628 07E00000000007E0000000000FC0000000000FC0000000000FC0000000001F8000000000
 629 1F80000000001F80000000003F00000000003F00000000003F00000000007E0000000000
 630 7E00000000007E0000000000FC0000000000FC0000000000FC0000000001F80000000001
 631 F80000000001F80000000003F00000000003F00000000003F00000000007E00000000007
 632 E00000000007E0000000000FC0000000000FC0000000000FC0000000000FC0000000001F
 633 80000000001F80000000001F80000000003F00000000003F00000000003F00000000007E
 634 00000000007E00000000007E0000000000FC0000000000FC0000000000FC0000000001F8
 635 0000000001F80000000001F80000000003F00000000003F00000000003F00000000007E0
 636 0000000007E00000000007E0000000000FC0000000000FC0000000000FC0000000001F80
 637 000000001F80000000001F80000000003F00000000003F00000000003F00000000003F00
 638 000000007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC00
 639 00000001F80000000001F80000000001F80000000003F00000000003F00000000003F000
 640 00000007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC000
 641 0000001F80000000001F80000000001F80000000003F00000000003F00000000003F0000
 642 0000007E00000000007E00000000007E0000000000FC0000000000FC0000000000FC0000
 643 0000007800000000003000000000002DF8778243>I<00000000007C0000000000FC0000
 644 000001F80000000001F80000000003F00000000007E0000000000FC0000000000FC00000
 645 00001F80000000003F00000000007F00000000007E0000000000FC0000000001FC000000
 646 0001F80000000003F80000000007F00000000007E0000000000FE0000000000FC0000000
 647 001FC0000000003F80000000003F80000000007F00000000007F0000000000FE00000000
 648 00FE0000000001FC0000000001FC0000000003F80000000003F80000000007F000000000
 649 07F0000000000FF0000000000FE0000000001FE0000000001FC0000000003FC000000000
 650 3F80000000003F80000000007F80000000007F0000000000FF0000000000FF0000000000
 651 FE0000000001FE0000000001FC0000000003FC0000000003FC0000000003F80000000007
 652 F80000000007F80000000007F8000000000FF0000000000FF0000000000FF0000000001F
 653 E0000000001FE0000000001FE0000000003FE0000000003FC0000000003FC0000000003F
 654 C0000000007FC0000000007F80000000007F80000000007F8000000000FF8000000000FF
 655 0000000000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000001FE
 656 0000000003FE0000000003FE0000000003FC0000000003FC0000000003FC0000000007FC
 657 0000000007FC0000000007FC0000000007F80000000007F80000000007F8000000000FF8
 658 000000000FF8000000000FF8000000000FF8000000000FF0000000000FF0000000001FF0
 659 000000001FF0000000001FF0000000001FF0000000001FF0000000001FF0000000001FE0
 660 000000001FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0
 661 000000003FE0000000003FE0000000003FE0000000003FC0000000003FC0000000007FC0
 662 000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0
 663 000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0
 664 000000007FC0000000007F8000000000FF8000000000FF8000000000FF8000000000FF80
 665 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80
 666 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80
 667 00000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80
 668 00000000FF8000000000FF80000000002E95688149>48 D<F80000000000FC0000000000
 669 7E00000000007E00000000003F00000000001F80000000000FC0000000000FC000000000
 670 07E00000000003F00000000003F80000000001F80000000000FC0000000000FE00000000
 671 007E00000000007F00000000003F80000000001F80000000001FC0000000000FC0000000
 672 000FE00000000007F00000000007F00000000003F80000000003F80000000001FC000000
 673 0001FC0000000000FE0000000000FE00000000007F00000000007F00000000003F800000
 674 00003F80000000003FC0000000001FC0000000001FE0000000000FE0000000000FF00000
 675 000007F00000000007F00000000007F80000000003F80000000003FC0000000003FC0000
 676 000001FC0000000001FE0000000000FE0000000000FF0000000000FF00000000007F0000
 677 0000007F80000000007F80000000007F80000000003FC0000000003FC0000000003FC000
 678 0000001FE0000000001FE0000000001FE0000000001FF0000000000FF0000000000FF000
 679 0000000FF0000000000FF80000000007F80000000007F80000000007F80000000007FC00
 680 00000003FC0000000003FC0000000003FC0000000003FE0000000001FE0000000001FE00
 681 00000001FE0000000001FF0000000001FF0000000000FF0000000000FF0000000000FF00
 682 00000000FF8000000000FF8000000000FF80000000007F80000000007F80000000007F80
 683 000000007FC0000000007FC0000000007FC0000000007FC0000000003FC0000000003FC0
 684 000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0
 685 000000001FE0000000001FE0000000001FF0000000001FF0000000001FF0000000001FF0
 686 000000001FF0000000001FF0000000001FF0000000001FF0000000000FF0000000000FF0
 687 000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8
 688 000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8
 689 000000000FF8000000000FF80000000007F80000000007FC0000000007FC0000000007FC
 690 0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC
 691 0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC
 692 0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC
 693 0000000007FC0000000007FC0000000007FC2E957E8149>I<000001F0000007F000000F
 694 F000003FF000007FF00001FFC00003FF800007FF00000FFE00001FFC00003FF800007FF0
 695 00007FE00000FFC00001FF800003FF800003FF000007FE000007FE00000FFC00000FFC00
 696 001FF800001FF800003FF800003FF000003FF000007FF000007FE000007FE000007FE000
 697 007FE00000FFE00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 698 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 699 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 700 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 701 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 702 001C4B607E4A>56 D<F8000000FE000000FF800000FFC00000FFF000003FF800001FFC00
 703 000FFE000003FF000001FF800000FFC000007FE000003FF000003FF800001FFC00000FFC
 704 000007FE000007FF000003FF000003FF800001FF800001FFC00000FFC00000FFC000007F
 705 E000007FE000007FE000003FF000003FF000003FF000003FF000003FF800001FF800001F
 706 F800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001F
 707 F800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001F
 708 F800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001F
 709 F800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001F
 710 F800001FF800001FF800001FF800001FF800001FF81D4B737E4A>I<FFC00000FFC00000
 711 FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000
 712 FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000
 713 FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000
 714 FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000
 715 FFC00000FFC00000FFC00000FFC00000FFC00000FFE000007FE000007FE000007FE00000
 716 7FE000007FF000003FF000003FF000003FF800001FF800001FF800000FFC00000FFC0000
 717 07FE000007FE000003FF000003FF800001FF800000FFC000007FE000007FF000003FF800
 718 001FFC00000FFE000007FF000003FF800001FFC000007FF000003FF000000FF0000007F0
 719 000001F01C4B60804A>I<00001FF800001FF800001FF800001FF800001FF800001FF800
 720 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
 721 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
 722 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
 723 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
 724 001FF800003FF800003FF000003FF000003FF000003FF000007FE000007FE000007FE000
 725 00FFC00000FFC00001FFC00001FF800003FF800003FF000007FF000007FE00000FFC0000
 726 1FFC00003FF800003FF000007FE00000FFC00001FF800003FF00000FFE00001FFC00003F
 727 F80000FFF00000FFC00000FF800000FE000000F80000001D4B73804A>I<00001FF80000
 728 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 729 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 730 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 731 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 732 1FF800001FF800001FF800001FF800001FF800001FF800003FF800003FF000003FF00000
 733 3FF000003FF000007FE000007FE000007FE000007FC00000FFC00000FFC00001FF800001
 734 FF800001FF000003FF000003FE000007FE00000FFC00000FF800001FF800003FF000003F
 735 E000007FC00000FF800001FF000003FE000007FC00000FF800001FF000007FE00000FF80
 736 0000FF000000FC000000FF000000FF8000007FE000001FF000000FF8000007FC000003FE
 737 000001FF000000FF8000007FC000003FE000003FF000001FF800000FF800000FFC000007
 738 FE000003FE000003FF000001FF000001FF800001FF800000FFC00000FFC000007FC00000
 739 7FE000007FE000007FE000003FF000003FF000003FF000003FF000003FF800001FF80000
 740 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 741 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 742 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 743 1FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF80000
 744 1FF800001FF800001FF800001FF800001FF800001FF81D9773804A>I<FFC00000FFC000
 745 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 746 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 747 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 748 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 749 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC000007FE000007FE000007FE000
 750 007FE000007FE000003FF000003FF000003FF000001FF800001FF800000FF800000FFC00
 751 000FFC000007FE000003FE000003FF000001FF000001FF800000FF8000007FC000003FE0
 752 00003FF000001FF000000FF8000007FC000003FE000001FF000000FF8000003FE000001F
 753 F0000007F0000003F0000007F000001FF000003FE00000FF800001FF000003FE000007FC
 754 00000FF800001FF000003FF000003FE000007FC00000FF800001FF800001FF000003FF00
 755 0003FE000007FE00000FFC00000FFC00000FF800001FF800001FF800003FF000003FF000
 756 003FF000007FE000007FE000007FE000007FE000007FE00000FFC00000FFC00000FFC000
 757 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 758 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 759 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 760 00FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC00000FFC000
 761 00FFC00000FFC00000FFC00000FFC00000FFC000001C9760804A>I<FFC0FFC0FFC0FFC0
 762 FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC0
 763 FFC0FFC0FFC0FFC0FFC00A1B60804A>I<FF8000000000FF8000000000FF8000000000FF
 764 8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF
 765 8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF
 766 8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF
 767 8000000000FF8000000000FF80000000007F80000000007FC0000000007FC0000000007F
 768 C0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007F
 769 C0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000003F
 770 C0000000003FC0000000003FE0000000003FE0000000003FE0000000003FE0000000003F
 771 E0000000003FE0000000003FE0000000003FE0000000001FE0000000001FE0000000001F
 772 F0000000001FF0000000001FF0000000001FF0000000001FF0000000001FF0000000000F
 773 F0000000000FF0000000000FF8000000000FF8000000000FF8000000000FF80000000007
 774 F80000000007F80000000007F80000000007FC0000000007FC0000000007FC0000000003
 775 FC0000000003FC0000000003FC0000000003FE0000000003FE0000000001FE0000000001
 776 FE0000000001FE0000000001FF0000000000FF0000000000FF0000000000FF0000000000
 777 FF80000000007F80000000007F80000000007F80000000007FC0000000003FC000000000
 778 3FC0000000003FC0000000003FE0000000001FE0000000001FE0000000001FE000000000
 779 0FF0000000000FF0000000000FF00000000007F80000000007F80000000007F800000000
 780 03F80000000003FC0000000003FC0000000001FC0000000001FE0000000000FE00000000
 781 00FF0000000000FF00000000007F00000000007F80000000003F80000000003F80000000
 782 003FC0000000001FC0000000001FE0000000000FE0000000000FF00000000007F0000000
 783 0007F00000000003F80000000003F80000000001FC0000000001FC0000000000FE000000
 784 0000FE00000000007F00000000007F00000000003F80000000003F80000000001FC00000
 785 00000FC0000000000FE00000000007E00000000007F00000000003F80000000001F80000
 786 000001FC0000000000FC00000000007E00000000007F00000000003F00000000001F8000
 787 0000000FC0000000000FC00000000007E00000000003F00000000001F80000000001F800
 788 00000000FC00000000007C2E95688349>64 D<0000000007FC0000000007FC0000000007
 789 FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007
 790 FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007
 791 FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007FC0000000007
 792 FC0000000007FC0000000007FC0000000007FC0000000007F8000000000FF8000000000F
 793 F8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000F
 794 F8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000F
 795 F8000000000FF0000000000FF0000000001FF0000000001FF0000000001FF0000000001F
 796 F0000000001FF0000000001FF0000000001FF0000000001FF0000000001FE0000000001F
 797 E0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003F
 798 E0000000003FC0000000003FC0000000007FC0000000007FC0000000007FC0000000007F
 799 C0000000007F80000000007F80000000007F8000000000FF8000000000FF8000000000FF
 800 8000000000FF0000000000FF0000000000FF0000000001FF0000000001FF0000000001FE
 801 0000000001FE0000000001FE0000000003FE0000000003FC0000000003FC0000000003FC
 802 0000000007FC0000000007F80000000007F80000000007F8000000000FF8000000000FF0
 803 000000000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000001FE0
 804 000000003FC0000000003FC0000000003FC0000000007F80000000007F80000000007F80
 805 000000007F0000000000FF0000000000FF0000000000FE0000000001FE0000000001FC00
 806 00000003FC0000000003FC0000000003F80000000007F80000000007F00000000007F000
 807 0000000FF0000000000FE0000000001FE0000000001FC0000000003FC0000000003F8000
 808 0000003F80000000007F00000000007F0000000000FE0000000000FE0000000001FC0000
 809 000001FC0000000003F80000000003F80000000007F00000000007F0000000000FE00000
 810 00000FC0000000001FC0000000001F80000000003F80000000007F00000000007E000000
 811 0000FE0000000000FC0000000001F80000000003F80000000003F00000000007E0000000
 812 000FC0000000000FC0000000001F80000000003F00000000007E00000000007E00000000
 813 00FC0000000000F800000000002E957E8349>I<FFFFFFFFFFFFFFFFFC00FFFFFFFFFFFF
 814 FFFFFE00FFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFE007FC0000000001FFFFF007FC0
 815 00000000007FFF003FE0000000000007FF001FF0000000000001FF800FF8000000000000
 816 7F800FF80000000000001F8007FC0000000000000FC003FE00000000000007C001FF0000
 817 0000000003C001FF00000000000001E000FF80000000000000E0007FC000000000000060
 818 003FC000000000000070003FE000000000000030001FF000000000000030000FF8000000
 819 00000018000FF8000000000000000007FC000000000000000003FE000000000000000001
 820 FF000000000000000001FF000000000000000000FF8000000000000000007FC000000000
 821 000000003FE000000000000000003FE000000000000000001FF000000000000000000FF8
 822 000000000000000007FC000000000000000007FC000000000000000003FE000000000000
 823 000001FF000000000000000000FF000000000000000000FF8000000000000000007FC000
 824 000000000000003FE000000000000000003FE000000000000000001FF000000000000000
 825 000FF8000000000000000007F0000000000000000007E0000000000000000007E0000000
 826 00000000000FC000000000000000000F8000000000000000001F0000000000000000003E
 827 0000000000000000007E000000000000000000FC000000000000000000F8000000000000
 828 000001F0000000000000000003E0000000000000000007E0000000000000000007C00000
 829 0000000000000F8000000000000000001F0000000000000000003E000000000000000000
 830 7E0000000000000000007C000000000000000000F8000000000000000001F00000000000
 831 00180003F0000000000000300007E0000000000000300007C000000000000070000F8000
 832 000000000060001F00000000000000E0003F00000000000001E0007E00000000000003C0
 833 007C00000000000007C000F80000000000000FC001F00000000000001F8003F000000000
 834 00007F8003E0000000000001FF8007C0000000000007FF000F8000000000003FFF001F00
 835 000000000FFFFF003FFFFFFFFFFFFFFFFE003FFFFFFFFFFFFFFFFE007FFFFFFFFFFFFFFF
 836 FE00FFFFFFFFFFFFFFFFFC00FFFFFFFFFFFFFFFFFC004D537B7F58>80
 837 D<000000007F0000000001FFC000000003C0F00000000780380000000F00780000001F01
 838 FC0000001E01FC0000003E01FC0000003E01FC0000007E01FC0000007C00700000007C00
 839 00000000FC0000000000FC0000000000FC0000000000FC0000000001F80000000001F800
 840 00000001F80000000001F80000000001F80000000001F80000000001F80000000001F800
 841 00000003F80000000003F80000000003F80000000003F80000000003F00000000003F000
 842 00000003F00000000003F00000000007F00000000007F00000000007F00000000007F000
 843 00000007F00000000007F00000000007F00000000007F00000000007F0000000000FE000
 844 0000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000
 845 0000000FE0000000000FE0000000000FE0000000001FC0000000001FC0000000001FC000
 846 0000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000
 847 0000001F80000000001F80000000001F80000000001F80000000003F80000000003F8000
 848 0000003F80000000003F80000000003F00000000003F00000000003F00000000003F0000
 849 0000003F00000000003F00000000003F00000000003E00000000007E00000000007E0000
 850 0000007E00000000007E00000000007C00000038007C000000FE00FC000000FE00F80000
 851 00FE00F8000000FE01F0000000FE01E00000007803E00000007007C00000003C0F800000
 852 000FFE0000000003F8000000002E5C7C7F27>82 D<FFFFFFFFFFFFFFFFFFFFFFFFE000FF
 853 FFFFFFFFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFFF
 854 FFFFFFF000FFFFFFFFFFFFFFFFFFFFFFFFF8007FFF00000000000000FFFFFFF8007FFF00
 855 00000000000000FFFFFC003FFF800000000000000007FFFC001FFFC00000000000000000
 856 FFFE000FFFE000000000000000001FFE000FFFE0000000000000000007FE0007FFF00000
 857 00000000000001FF0003FFF80000000000000000007F0001FFFC0000000000000000003F
 858 8001FFFC0000000000000000000F8000FFFE0000000000000000000780007FFF00000000
 859 000000000003C0003FFF80000000000000000001C0003FFF80000000000000000000E000
 860 1FFFC0000000000000000000E0000FFFE0000000000000000000700007FFE00000000000
 861 00000000300007FFF0000000000000000000300003FFF8000000000000000000180001FF
 862 FC000000000000000000000000FFFC000000000000000000000000FFFE00000000000000
 863 00000000007FFF0000000000000000000000003FFF8000000000000000000000003FFF80
 864 00000000000000000000001FFFC000000000000000000000000FFFE00000000000000000
 865 00000007FFF0000000000000000000000007FFF0000000000000000000000003FFF80000
 866 00000000000000000001FFFC000000000000000000000000FFFE00000000000000000000
 867 0000FFFE0000000000000000000000007FFF0000000000000000000000003FFF80000000
 868 00000000000000001FFFC000000000000000000000001FFFC00000000000000000000000
 869 0FFFE0000000000000000000000007FFF0000000000000000000000003FFF00000000000
 870 00000000000003FFF8000000000000000000000001FFFC000000000000000000000000FF
 871 FE0000000000000000000000007FFE0000000000000000000000007FFF00000000000000
 872 00000000003FFF8000000000000000000000001FFFC000000000000000000000000FFFC0
 873 00000000000000000000000FFFE0000000000000000000000007FFF00000000000000000
 874 00000003FFF8000000000000000000000003FFF8000000000000000000000001FFFC0000
 875 00000000000000000000FFFC0000000000000000000000007FF800000000000000000000
 876 00007FF00000000000000000000000003FF00000000000000000000000001FE000000000
 877 00000000000000001FC00000000000000000000000003F80000000000000000000000000
 878 7F00000000000000000000000000FE00000000000000000000000000FE00000000000000
 879 000000000001FC00000000000000000000000003F800000000000000000000000007F000
 880 00000000000000000000000FE00000000000000000000000001FC0000000000000000000
 881 0000001F800000000000000000000000003F800000000000000000000000007F00000000
 882 000000000000000000FE00000000000000000000000001FC000000000000000000000000
 883 03F800000000000000000000000007F000000000000000000000000007F0000000000000
 884 0000000000000FE00000000000000000000000001FC00000000000000000000000003F80
 885 0000000000000000000000007F00000000000000000000000000FE000000000000000000
 886 00000000FE00000000000000000000000001FC00000000000000000000000003F8000000
 887 00000000000000000007F00000000000000000001800000FE00000000000000000003000
 888 001FC00000000000000000003000001F800000000000000000007000003F800000000000
 889 000000006000007F00000000000000000000E00000FE00000000000000000001E00001FC
 890 00000000000000000003C00003F800000000000000000007C00007F00000000000000000
 891 000F800007F00000000000000000001F80000FE00000000000000000007F80001FC00000
 892 00000000000000FF00003F80000000000000000003FF00007F0000000000000000000FFF
 893 0000FE0000000000000000007FFE0000FE000000000000000003FFFE0001FC0000000000
 894 0000007FFFFE0003F8000000000000007FFFFFFC0007FFFFFFFFFFFFFFFFFFFFFFFC000F
 895 FFFFFFFFFFFFFFFFFFFFFFF8001FFFFFFFFFFFFFFFFFFFFFFFF8001FFFFFFFFFFFFFFFFF
 896 FFFFFFF8003FFFFFFFFFFFFFFFFFFFFFFFF0007FFFFFFFFFFFFFFFFFFFFFFFF000FFFFFF
 897 FFFFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFFFFFFFFFE0006D747B7F78>88
 898 D<FFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFF
 899 FEFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE03FFFFE0000000000FFFFF
 900 80007FFFE0000000000FFFFC00001FFFE0000000000FFFF000000FFFE0000000000FFFE0
 901 000007FFE0000000000FFFC0000007FFE0000000000FFFC0000003FFE0000000000FFF80
 902 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 903 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 904 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 905 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 906 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 907 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 908 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 909 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 910 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 911 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 912 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 913 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 914 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 915 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 916 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 917 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 918 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 919 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 920 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 921 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 922 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 923 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 924 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 925 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 926 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 927 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 928 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 929 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 930 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 931 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 932 000003FFE0000000000FFF80000003FFE0000000000FFF80000003FFE0000000000FFF80
 933 000007FFF0000000001FFFC0000007FFF0000000001FFFC000000FFFF8000000003FFFE0
 934 00001FFFFC000000007FFFF000007FFFFF00000001FFFFFC0003FFFFFFE000000FFFFFFF
 935 80FFFFFFFFFF8003FFFFFFFFFEFFFFFFFFFF8003FFFFFFFFFEFFFFFFFFFF8003FFFFFFFF
 936 FEFFFFFFFFFF8003FFFFFFFFFEFFFFFFFFFF8003FFFFFFFFFE5F747B7F6A>I<00000000
 937 00000007C0000000000000001FF0000000000000007C3C00000000000000F80E00000000
 938 000001F83E00000000000001F07F00000000000003E0FF00000000000007E0FF00000000
 939 000007E0FF0000000000000FC0FF0000000000000FC07E0000000000001F803C00000000
 940 00001F80000000000000001F80000000000000003F00000000000000003F000000000000
 941 00007F00000000000000007F00000000000000007E0000000000000000FE000000000000
 942 0000FE0000000000000000FE0000000000000000FC0000000000000001FC000000000000
 943 0001FC0000000000000001FC0000000000000003F80000000000000003F8000000000000
 944 0003F80000000000000003F80000000000000007F80000000000000007F0000000000000
 945 0007F00000000000000007F0000000000000000FF0000000000000000FF0000000000000
 946 000FE0000000000000000FE0000000000000001FE0000000000000001FE0000000000000
 947 001FC0000000000000001FC0000000000000001FC0000000000000003FC0000000000000
 948 003FC0000000000000003FC0000000000000003F80000000000000007F80000000000000
 949 007F80000000000000007F80000000000000007F8000000000000000FF00000000000000
 950 00FF0000000000000000FF0000000000000000FF0000000000000000FF00000000000000
 951 01FF0000000000000001FE0000000000000001FE0000000000000001FE00000000000000
 952 03FE0000000000000003FE0000000000000003FE0000000000000003FC00000000000000
 953 03FC0000000000000007FC0000000000000007FC0000000000000007FC00000000000000
 954 07F80000000000000007F8000000000000000FF8000000000000000FF800000000000000
 955 0FF8000000000000000FF8000000000000001FF0000000000000001FF000000000000000
 956 1FF0000000000000001FF0000000000000001FF0000000000000003FF000000000000000
 957 3FE0000000000000003FE0000000000000003FE0000000000000003FE000000000000000
 958 7FE0000000000000007FC0000000000000007FC0000000000000007FC000000000000000
 959 7FC000000000000000FFC000000000000000FF8000000000000000FF8000000000000000
 960 FF8000000000000000FF8000000000000001FF8000000000000001FF0000000000000001
 961 FF0000000000000001FF0000000000000001FF0000000000000003FF0000000000000003
 962 FE0000000000000003FE0000000000000003FE0000000000000003FE0000000000000003
 963 FE0000000000000007FC0000000000000007FC0000000000000007FC0000000000000007
 964 FC0000000000000007FC000000000000000FF8000000000000000FF8000000000000000F
 965 F8000000000000000FF8000000000000000FF0000000000000000FF0000000000000001F
 966 F0000000000000001FF0000000000000001FF0000000000000001FE0000000000000001F
 967 E0000000000000003FE0000000000000003FE0000000000000003FE0000000000000003F
 968 C0000000000000003FC0000000000000003FC0000000000000007FC0000000000000007F
 969 80000000000000007F80000000000000007F80000000000000007F80000000000000007F
 970 8000000000000000FF0000000000000000FF0000000000000000FF0000000000000000FF
 971 0000000000000000FE0000000000000001FE0000000000000001FE0000000000000001FE
 972 0000000000000001FC0000000000000001FC0000000000000001FC0000000000000003FC
 973 0000000000000003FC0000000000000003F80000000000000003F80000000000000007F8
 974 0000000000000007F80000000000000007F00000000000000007F00000000000000007F0
 975 000000000000000FF0000000000000000FE0000000000000000FE0000000000000000FE0
 976 000000000000000FE0000000000000001FC0000000000000001FC0000000000000001FC0
 977 000000000000001F80000000000000003F80000000000000003F80000000000000003F80
 978 000000000000003F00000000000000007F00000000000000007F00000000000000007E00
 979 00000000000000FE0000000000000000FC0000000000000000FC0000000000003C01F800
 980 00000000007E01F8000000000000FF01F8000000000000FF03F0000000000000FF03E000
 981 0000000000FF07E0000000000000FE07C00000000000007C0F80000000000000701F0000
 982 00000000003C3E000000000000000FFC0000000000000003F00000000000000048B87B7F
 983 2E>I<FFFFE0FFFFE0FFFFE0FFFFE0FFFFE0F80000F80000F80000F80000F80000F80000
 984 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 985 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 986 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 987 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 988 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 989 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 990 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 991 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 992 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 993 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 994 F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000
 995 FFFFE0FFFFE0FFFFE0FFFFE0FFFFE013946E8227>104 D<FFFFE0FFFFE0FFFFE0FFFFE0
 996 FFFFE00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
 997 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
 998 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
 999 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1000 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1001 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1002 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1003 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1004 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1005 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1006 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0
1007 0003E00003E00003E00003E00003E00003E00003E0FFFFE0FFFFE0FFFFE0FFFFE0FFFFE0
1008 13947F8227>I<00000003C00000000FC00000003FC0000000FFC0000003FF00000007FC
1009 0000000FF80000001FE00000003FC00000007F80000000FF00000000FF00000001FE0000
1010 0001FC00000001FC00000003FC00000003F800000003F800000003F800000003F8000000
1011 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
1012 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
1013 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
1014 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
1015 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
1016 03F800000003F800000007F800000007F000000007F00000000FF00000000FE00000001F
1017 E00000001FC00000003F800000007F80000000FF00000001FC00000007F80000000FF000
1018 00003FC0000000FF80000000FE00000000FE00000000FF800000003FC00000000FF00000
1019 0007F800000001FC00000000FF000000007F800000003F800000001FC00000001FE00000
1020 000FE00000000FF000000007F000000007F000000007F800000003F800000003F8000000
1021 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
1022 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
1023 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
1024 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
1025 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
1026 03F800000003F800000003F800000003F800000003FC00000001FC00000001FC00000001
1027 FE00000000FF00000000FF000000007F800000003FC00000001FE00000000FF800000007
1028 FC00000003FF00000000FFC00000003FC00000000FC000000003C02294768237>110
1029 D<F000000000FE00000000FF80000000FFE00000003FF00000000FFC00000003FE000000
1030 01FF000000007F800000003FC00000001FE00000001FE00000000FF000000007F0000000
1031 07F000000007F800000003F800000003F800000003F800000003F800000003F800000003
1032 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
1033 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
1034 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
1035 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
1036 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
1037 F800000003F800000001FC00000001FC00000001FE00000000FE00000000FF000000007F
1038 000000007F800000003FC00000001FE00000000FF000000007F800000001FC00000000FF
1039 000000003FC00000000FC00000000FC00000003FC0000000FF00000001FC00000007F800
1040 00000FF00000001FE00000003FC00000007F800000007F00000000FF00000000FE000000
1041 01FE00000001FC00000001FC00000003F800000003F800000003F800000003F800000003
1042 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
1043 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
1044 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
1045 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
1046 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
1047 F800000003F800000003F800000007F800000007F000000007F00000000FF00000001FE0
1048 0000001FE00000003FC00000007F80000001FF00000003FE0000000FFC0000003FF00000
1049 00FFE0000000FF80000000FE00000000F0000000002294768237>I<0000000000000000
1050 00300000000000000000007800000000000000000078000000000000000000F800000000
1051 0000000000F8000000000000000000F0000000000000000001F0000000000000000001F0
1052 000000000000000001E0000000000000000003E0000000000000000003E0000000000000
1053 000003C0000000000000000007C0000000000000000007C0000000000000000007800000
1054 0000000000000F8000000000000000000F8000000000000000000F000000000000000000
1055 1F0000000000000000001F0000000000000000001E0000000000000000003E0000000000
1056 000000003E0000000000000000003C0000000000000000007C0000000000000000007C00
1057 000000000000000078000000000000000000F8000000000000000000F800000000000000
1058 0000F0000000000000000000F0000000000000000001F0000000000000000001F0000000
1059 000000000001E0000000000000000003E0000000000000000003E0000000000000000003
1060 C0000000000000000007C0000000000000000007C0000000000000000007800000000000
1061 0000000F8000000000000000000F8000000000000000000F0000000000000000001F0000
1062 000000000000001F0000000000000000001E0000000000000000003E0000000000000000
1063 003E0000000000000000003C0000000000000000007C0000000000000000007C00000000
1064 000000000078000000000000000000F8000000000000000000F8000000000000000000F0
1065 000000000000000001F0000000000000000001F0000000000000000001E0000000000000
1066 000003E0000000000000000003E0000000000000000003C0000000000000000003C00000
1067 00000000000007C0000000000000000007C0000000000000000007800000000000000000
1068 0F8000000000000000000F8000000000000000000F0000000000000000001F0000000000
1069 000000001F0000000000000000001E0000000000000000003E0000000000000000003E00
1070 00000000000000003C0000000000000000007C0000000010000000007C00000000300000
1071 000078000000007000000000F800000000F800000000F800000000F800000000F0000000
1072 01F800000001F000000003F800000001F000000007FC00000001E00000000FFC00000003
1073 E00000001DFC00000003E000000038FE00000003C000000070FE00000007C000000060FE
1074 00000007C0000000C0FE0000000780000000407F0000000780000000007F0000000F8000
1075 0000007F0000000F80000000003F8000000F00000000003F8000001F00000000003F8000
1076 001F00000000003F8000001E00000000001FC000003E00000000001FC000003E00000000
1077 001FC000003C00000000000FE000007C00000000000FE000007C00000000000FE0000078
1078 00000000000FE00000F8000000000007F00000F8000000000007F00000F0000000000007
1079 F00001F0000000000003F80001F0000000000003F80001E0000000000003F80003E00000
1080 00000003F80003E0000000000001FC0003C0000000000001FC0007C0000000000001FC00
1081 07C0000000000000FE000780000000000000FE000F80000000000000FE000F8000000000
1082 0000FE000F000000000000007F001F000000000000007F001F000000000000007F001E00
1083 0000000000003F801E000000000000003F803E000000000000003F803E00000000000000
1084 3F803C000000000000001FC07C000000000000001FC07C000000000000001FC078000000
1085 000000000FE0F8000000000000000FE0F8000000000000000FE0F0000000000000000FE1
1086 F00000000000000007F1F00000000000000007F1E00000000000000007F3E00000000000
1087 000003FBE00000000000000003FBC00000000000000003FFC00000000000000003FFC000
1088 00000000000001FF800000000000000001FF800000000000000001FF8000000000000000
1089 00FF000000000000000000FF000000000000000000FF000000000000000000FE00000000
1090 00000000007E0000000000000000007E0000000000000000007C0000000000000000003C
1091 000000000000000000380000000000004D96788353>113 D<0000000000000000003000
1092 000000000000000078000000000000000000780000000000000000007800000000000000
1093 0000F8000000000000000000F8000000000000000000F0000000000000000000F0000000
1094 000000000000F0000000000000000001F0000000000000000001F0000000000000000001
1095 E0000000000000000001E0000000000000000001E0000000000000000003E00000000000
1096 00000003E0000000000000000003C0000000000000000003C0000000000000000003C000
1097 0000000000000007C0000000000000000007C00000000000000000078000000000000000
1098 000780000000000000000007800000000000000000078000000000000000000F80000000
1099 00000000000F8000000000000000000F0000000000000000000F0000000000000000000F
1100 0000000000000000001F0000000000000000001F0000000000000000001E000000000000
1101 0000001E0000000000000000001E0000000000000000003E0000000000000000003E0000
1102 000000000000003C0000000000000000003C0000000000000000003C0000000000000000
1103 007C0000000000000000007C000000000000000000780000000000000000007800000000
1104 000000000078000000000000000000F8000000000000000000F8000000000000000000F0
1105 000000000000000000F0000000000000000000F0000000000000000000F0000000000000
1106 000001F0000000000000000001F0000000000000000001E0000000000000000001E00000
1107 00000000000001E0000000000000000003E0000000000000000003E00000000000000000
1108 03C0000000000000000003C0000000000000000003C0000000000000000007C000000000
1109 0000000007C0000000000000000007800000000000000000078000000000000000000780
1110 00000000000000000F8000000000000000000F8000000000000000000F00000000000000
1111 00000F0000000000000000000F0000000000000000000F0000000000000000001F000000
1112 0000000000001F0000000000000000001E0000000000000000001E000000000000000000
1113 1E0000000000000000003E0000000000000000003E0000000000000000003C0000000000
1114 000000003C0000000000000000003C0000000000000000007C0000000000000000007C00
1115 000000000000000078000000000000000000780000000000000000007800000000000000
1116 0000F8000000000000000000F8000000000000000000F0000000000000000000F0000000
1117 000000000000F0000000000000000000F0000000000000000001F0000000000000000001
1118 F0000000000000000001E0000000000000000001E0000000000000000001E00000000000
1119 00000003E0000000000000000003E0000000000000000003C0000000000000000003C000
1120 0000000000000003C0000000000000000007C0000000000000000007C000000000000000
1121 000780000000000000000007800000000000000000078000000000000000000F80000000
1122 00000000000F8000000000000000000F0000000000000000000F0000000000000000000F
1123 0000000000000000000F0000000000000000001F0000000000000000001F000000000000
1124 0000001E0000000000000000001E0000000000000000001E0000000000000000003E0000
1125 000000000000003E0000000000000000003C0000000000000000003C0000000000000000
1126 003C0000000000000000007C0000000010000000007C0000000010000000007800000000
1127 30000000007800000000300000000078000000007000000000F8000000007000000000F8
1128 00000000F800000000F000000000F800000000F000000001F800000000F000000001F800
1129 000001F000000003F800000001F000000003F800000001E000000007FC00000001E00000
1130 0007FC00000001E00000000DFC00000001E00000001DFC00000003E000000019FC000000
1131 03E000000038FE00000003C000000030FE00000003C000000070FE00000003C000000060
1132 FE00000007C0000000E0FE00000007C0000000C0FE0000000780000000407F0000000780
1133 000000007F0000000780000000007F0000000F80000000007F0000000F80000000007F00
1134 00000F00000000007F0000000F00000000003F8000000F00000000003F8000001F000000
1135 00003F8000001F00000000003F8000001E00000000003F8000001E00000000003F800000
1136 1E00000000001FC000001E00000000001FC000003E00000000001FC000003E0000000000
1137 1FC000003C00000000001FC000003C00000000001FC000003C00000000000FE000007C00
1138 000000000FE000007C00000000000FE000007800000000000FE000007800000000000FE0
1139 00007800000000000FE00000F8000000000007F00000F8000000000007F00000F0000000
1140 000007F00000F0000000000007F00000F0000000000007F00001F0000000000003F80001
1141 F0000000000003F80001E0000000000003F80001E0000000000003F80001E00000000000
1142 03F80001E0000000000003F80003E0000000000001FC0003E0000000000001FC0003C000
1143 0000000001FC0003C0000000000001FC0003C0000000000001FC0007C0000000000001FC
1144 0007C0000000000000FE000780000000000000FE000780000000000000FE000780000000
1145 000000FE000F80000000000000FE000F80000000000000FE000F000000000000007F000F
1146 000000000000007F000F000000000000007F001F000000000000007F001F000000000000
1147 007F001E000000000000007F001E000000000000003F801E000000000000003F801E0000
1148 00000000003F803E000000000000003F803E000000000000003F803C000000000000001F
1149 C03C000000000000001FC03C000000000000001FC07C000000000000001FC07C00000000
1150 0000001FC078000000000000001FC078000000000000000FE078000000000000000FE0F8
1151 000000000000000FE0F8000000000000000FE0F0000000000000000FE0F0000000000000
1152 000FE0F00000000000000007F1F00000000000000007F1F00000000000000007F1E00000
1153 000000000007F1E00000000000000007F1E00000000000000007F3E00000000000000003
1154 FBE00000000000000003FBC00000000000000003FBC00000000000000003FBC000000000
1155 00000003FBC00000000000000003FFC00000000000000001FFC00000000000000001FF80
1156 0000000000000001FF800000000000000001FF800000000000000001FF80000000000000
1157 0000FF800000000000000000FF000000000000000000FF000000000000000000FF000000
1158 000000000000FF000000000000000000FF0000000000000000007E000000000000000000
1159 7E0000000000000000007E0000000000000000007E0000000000000000007E0000000000
1160 000000007C0000000000000000003C0000000000000000003C0000000000000000003800
1161 00000000004DFA788353>115 D<00000000000030000000000000780000000000007800
1162 000000000078000000000000780000000000007800000000000078000000000000780000
1163 000000007800000000000078000000000000780000000000007800000000000078000000
1164 000000780000000000007800000000000078000000000000780000000000007800180000
1165 0000780018000000007800380000000078003C0000000078007C000000007800FC000000
1166 007800FE000000007801FE000000007801FE000000007803FF0000000078037F00000000
1167 78077F0000000078063F80000000780E3F80000000780C3F80000000781C1FC000000078
1168 181FC000000078381FC000000078300FE000000078600FE000000078600FE000000078C0
1169 0FE000000078C007F0000000780007F0000000780007F0000000780003F8000000780003
1170 F8000000780003F8000000780001FC000000780001FC000000780001FC000000780000FE
1171 000000780000FE000000780000FE0000007800007F0000007800007F0000007800007F00
1172 00007800003F8000007800003F8000007800003F8000007800001FC000007800001FC000
1173 007800001FC000007800000FE000007800000FE000007800000FE0000078000007F00000
1174 78000007F0000078000007F0000078000003F8000078000003F8000078000003F8000078
1175 000001FC000078000001FC000078000001FC000078000000FE000078000000FE00007800
1176 0000FE0000780000007F0000780000007F0000780000007F0000780000003F8000780000
1177 003F8000780000003F8000780000001FC000780000001FC000780000001FC00078000000
1178 0FE000780000000FE000780000000FE0007800000007F0007800000007F0007800000007
1179 F0007800000003F8007800000003F8007800000003F8007800000001FC007800000001FC
1180 007800000001FC007800000001FC007800000000FE007800000000FE007800000000FE00
1181 78000000007F0078000000007F0078000000007F0078000000003F8078000000003F8078
1182 000000003F8078000000001FC078000000001FC078000000001FC078000000000FE07800
1183 0000000FE078000000000FE0780000000007F0780000000007F0780000000007F0780000
1184 000003F8780000000003F8780000000003F8780000000001FC780000000001FC78000000
1185 0001FC780000000000FE780000000000FE780000000000FE7800000000007F7800000000
1186 007F7800000000007F7800000000003FF800000000003FF800000000003FF80000000000
1187 1FF800000000001FF800000000001FF800000000000FF800000000000FF800000000000F
1188 F8000000000007F8000000000007F8000000000007F8000000000003F8000000000003F8
1189 000000000003F8000000000001F8000000000001F8000000000001F8000000000000F800
1190 0000000000F8000000000000F800000000000070000000000000603597778158>I<60F0
1191 F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
1192 F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0600436468158>I<7FFFFFFEFFFFFFFFFFFFFFFFFF
1193 FFFFFEF0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0
1194 000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0
1195 000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0
1196 000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0
1197 000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0
1198 000000F0000000F0000000600000002034468358>I E /Fh 58 123
1199 df<0001FC0000000FFF0000003F07C000007C03E00001F801F00C03F001F00C07E000F8
1200 0C0FC000F81C0F8000FC181F80007C183F00007C383F00007C307F00007C707E00007C60
1201 7E00007CE07E00007CC0FE00007DC0FC00007F80FC00007F00FC00007E00FC00007E00FC
1202 00007C00FC00007C007C00007C007C0000FE007C0003FE0C3E00073E0C1F001E3E1C0F81
1203 F81F3803FFE00FF000FE0003C0261F7D9D2D>11 D<0000007E00000001FFC000000781E0
1204 00001E00F000003800F000007000F80000E000780001C0007800038000F800030000F800
1205 070000F800060000F8000E0001F8000C0001F0001C0001F000180003E000180007C00038
1206 00078000301FEF0000303FFE0000703FFE0000601FEF000060000F8000600007C000E000
1207 07C000C00007E000C00007E000C00007E001C00007E001800007E001800007E001800007
1208 E00380000FE00300000FC00300000FC00300000FC00700001F800700001F800700003F00
1209 0700003F000F80007E000D80007C000DC000F8000CE001F0001C7003E000183C0F800018
1210 1FFE00001803F80000380000000030000000003000000000300000000070000000006000
1211 00000060000000006000000000E000000000C000000000C000000000C000000000253C7E
1212 AE28>I<001F00000000FFC0003001FFF0007007FFF800600FFFF800E00F807C00C01E00
1213 3C01C03C001E018038000E0380700007030060000707006000030600E000030600000003
1214 8E000000018C000000019C000000019800000001B800000001B000000001B000000001F0
1215 00000001E000000001E000000001E000000001C000000001C00000000180000000018000
1216 000003800000000380000000038000000003800000000700000000070000000007000000
1217 0007000000000E000000000E000000000E000000000E000000001C000000001C00000000
1218 1C00000000180000242C7F9D24>I<0003FE001FFE007E0000F80003F00007E0000FC000
1219 1F80001F80003F00003F00007F00007FFFF07FFFF07E00007E0000FC0000FC0000FC0000
1220 7C00007C00007C00007C00003E00003E00001F00080F801C07C0F801FFE0007F00171E7D
1221 9C1D>15 D<07C007E00FE03FF81CF8783E3879E01E307B801F707F001F607F001F60FE00
1222 1FE0FC001FC0FC001FC0F8001F81F8003F01F8003F01F0003E01F0003E03F0007E03F000
1223 7E03E0007C03E0007C07E000FC07E000FC07C000F807C000F80FC001F80FC001F80F8001
1224 F00F8001F01F8003F01F8003F01F0003E00E0003E0000007E0000007E0000007C0000007
1225 C000000FC000000FC000000F8000000F8000001F8000001F8000001F0000001F0000000E
1226 00202C7E9D23>17 D<00007C000001FF000003C780000783C0001F03E0001E01E0003E01
1227 E0007C01F000F801F000F801F001F001F003F001F003E001F007E001F007E001F00FC001
1228 F00FC003F00FC003F01F8003F01F8003F01F8007F03F8007E03F0007E03FFFFFE03FFFFF
1229 E07F000FC07E000FC07E000FC07E001FC07E001F807C001F80FC001F00FC003F00FC003F
1230 00FC007E00FC007E00F8007C00F800FC007800F8007801F0007801F0007C03E0003C07C0
1231 003C0F80001C0F00001E3E00000FF8000003E000001C307DAE21>I<001C000000003E00
1232 0380003E0007C0007E000FC0007E000F80007C000F80007C000F8000FC001F8000FC001F
1233 0000F8001F0000F8001F0001F8003F0001F8003E0001F0003E0001F0003E0003F0007E00
1234 03F0007C0003E0007C0003E0007C0007E000FC0807E000F81807C000F81807C000F8180F
1235 C001F8380FC001F8300FE003F0300FE007F0701FE00EF8601FF83C78E01F7FF03FC01F1F
1236 C00F003F000000003F000000003E000000003E000000007E000000007E000000007C0000
1237 00007C00000000FC00000000FC00000000F800000000F8000000007000000000252C7E9D
1238 2A>22 D<01F00007003FF0000F803FF0000F8003F0001F8003F0001F0003E0001F0003E0
1239 003F0007E0003E0007E0003E0007C0007C0007C0007C000FC000F8000FC001F8000F8001
1240 F0000F8003E0001F8007E0001F8007C0001F000F80001F001F00003F003E00003F007C00
1241 003E00F000003E03E000007E07C000007E0F0000007C3E0000007CF8000000FFE0000000
1242 FF00000000F800000000211E7D9D23>I<00FFFFFFF803FFFFFFF807FFFFFFF80FFFFFFF
1243 F01E0380C0003C0300C000700301C000700701C000E007018000C006018000000E038000
1244 000E038000000E038000001C038000001C038000003C038000003C078000003807800000
1245 78078000007807800000F007C00000F007C00001F007C00001F007C00003E007E00003E0
1246 07E00007E003E00007C003E00007C003E000038001C000251E7E9C29>25
1247 D<00001F8000007FF00001F0F80003E07C0007803E000F003E001F001F003E001F007C00
1248 1F007C001F00F8001F00F8003F01F8003F01F0003F01F0003F03F0007F03F0007E03E000
1249 7E03E0007E07E000FC07E000FC07C000F807C001F80FC003F00FC003E00FE007C00FE00F
1250 801FF01F001FB83E001F1FF8001F07C0003F0000003F0000003E0000003E0000007E0000
1251 007E0000007C0000007C000000FC000000FC000000F8000000F800000070000000202C7E
1252 9D24>I<00FFFFFF8003FFFFFF8007FFFFFF800FFFFFFF001E00E000003C00E000007000
1253 C000007001C00000E001C00000C001C000000003C000000003C000000003800000000380
1254 0000000780000000078000000007800000000F000000000F000000000F000000001F0000
1255 00001F000000001E000000003E000000003E000000003E000000003E000000007C000000
1256 007C0000000038000000211E7E9C1F>28 D<000000600000000060000000006000000000
1257 E000000000E000000000C000000000C000000001C000000001C000000001800000000180
1258 000000038000000003800000000300000000030000000007000000003FE0000003FFF800
1259 000FC63E00003E0E0F80007C0E07C001F00C03E003E00C01F007C01C01F00F801C00F01F
1260 801800F81F001800F83E003800F83E003800F87C003000F87C003000F87C007001F8FC00
1261 7001F0F8006001F0F8006003F0F800E003E0F800E007E07800C007C07C00C00F807C01C0
1262 1F003C01C03E003E01807C001F0180F8000F8383E00003E39F800000FFFE0000001FF000
1263 000007000000000700000000060000000006000000000E000000000E000000000C000000
1264 000C000000001C000000001C000000001800000000180000000018000000253C7DAD2A>
1265 30 D<07E00000001FF800000C38FC00001C307E000018707F000038203F000070003F00
1266 00E0001F8001C0001F800380000FC00700000FC00E000007C01C000007E038000007E070
1267 000003E0E0000003F0C0000003F1C0000001F380000001FF00000001FE00000000FC0000
1268 0000FC00000000FC00000000FC00000001FE00000003FE000000073E0000000E3F000000
1269 0C3F0000001C1F000000381F800000701F800000E00F800001C00FC00003800FC0000700
1270 07E0000E0007E0001C0003F000380003F010700003F838600001F830E00000FC70C00000
1271 7FE00000001F80262C7E9D2C>I<0000000600000000000600000000000600000000000E
1272 00000000000C00000000000C00000000000C00000000001C000000000018000000000018
1273 000000000018000000000038000000000030000000000030000000000030000000000070
1274 000001E00060070007F800601F800E3C00601F801C3E00E01FC0383E00C01FC0303E00C0
1275 0FC0703E00C007C0607E01C00780E07C01800380C07C01800380C0FC0180038080F80380
1276 038000F80300030001F80300030001F00300030001F00700070003F00600060003E00600
1277 0E0003E006000C0003E00E001C0003E00C00180003C00C00380003E00C00700003E01C00
1278 E00003E01801C00001F01803800001F0180F000000FC381C0000003F30F80000000FFFE0
1279 00000001FF0000000000700000000000600000000000600000000000600000000000E000
1280 00000000C00000000000C00000000000C00000000001C000000000018000000000018000
1281 00000001800000000001800000002A3C7EAD2E>I<000000000E00018000003F00038000
1282 003F00070000003F80060000003F800E0000001F800C0000000F801C0000000F00180000
1283 00070038000000070030000C00070030001E00070070001E00060060001E00060060003E
1284 00060060003C000E00E0003C000C00C0003C000C00C00038001C00E00078003800E00070
1285 003800E00070007000E000F000F000F001F801E000F003F803E0007C0FFC0FC0007FFFBF
1286 FF80007FFF3FFF00003FFC1FFE00001FF80FF8000007E007E00000291F7F9D2C>I<0000
1287 000FC00300003FE0070000FFF80E0001FFF80C0003E07C1C0007803C380007001C30000E
1288 000E30001C000E70001C000E600038000E600030000EE00030000CC00060000CC0006000
1289 0CC000C0001CC000C00018C000C00038C001800030C001800070E0018000E0E0038001E0
1290 70038003C078030007803C07001F001F87007E000FF703FC0007FFFFF00001FFFFC00000
1291 7FFF0000001FF80000001E000000001E000000001E000000003C000000003C000000003C
1292 000000007C000000007C000000007C00000000F800000000F800000000F8000000007000
1293 0000272C7C9D2E>39 D<3C7EFFFFFFFF7E3C08087A8714>58 D<3C007E00FF00FF00FF80
1294 FF807F803D80018001800180038003000300070006000E001C0038007000600009157A87
1295 14>I<0000000001C00000000007C0000000001FC0000000007F0000000001FC00000000
1296 07F0000000001FC0000000007F0000000001FC0000000007F0000000000FC0000000003F
1297 0000000000FC0000000003F8000000000FE0000000003F8000000000FE0000000003F800
1298 0000000FE0000000003F8000000000FE0000000000F80000000000FE00000000003F8000
1299 0000000FE00000000003F80000000000FE00000000003F80000000000FE00000000003F8
1300 0000000000FC00000000003F00000000000FC00000000007F00000000001FC0000000000
1301 7F00000000001FC00000000007F00000000001FC00000000007F00000000001FC0000000
1302 0007C00000000001C02A2B7AA537>I<000000C0000001C0000003C00000038000000380
1303 00000780000007000000070000000F0000000E0000000E0000001E0000001C0000001C00
1304 00003C00000038000000780000007000000070000000F0000000E0000000E0000001E000
1305 0001C0000001C0000003C00000038000000780000007000000070000000F0000000E0000
1306 000E0000001E0000001C0000001C0000003C000000380000003800000078000000700000
1307 00F0000000E0000000E0000001E0000001C0000001C0000003C000000380000003800000
1308 07800000070000000F0000000E0000000E0000001E0000001C0000001C0000003C000000
1309 3800000038000000780000007000000070000000F0000000E0000000E00000001A437CB1
1310 23>I<E00000000000F80000000000FE00000000003F80000000000FE00000000003F800
1311 00000000FE00000000003F80000000000FE00000000003F80000000000FC00000000003F
1312 00000000000FC00000000007F00000000001FC00000000007F00000000001FC000000000
1313 07F00000000001FC00000000007F00000000001FC00000000007C0000000001FC0000000
1314 007F0000000001FC0000000007F0000000001FC0000000007F0000000001FC0000000007
1315 F0000000000FC0000000003F0000000000FC0000000003F8000000000FE0000000003F80
1316 00000000FE0000000003F8000000000FE0000000003F8000000000FE0000000000F80000
1317 000000E000000000002A2B7AA537>I<00000000700000000000700000000000F0000000
1318 0001F00000000001F00000000003F80000000003F80000000007F8000000000DF8000000
1319 000DF80000000019F80000000039F80000000031F80000000061FC0000000060FC000000
1320 00C0FC0000000180FC0000000180FC0000000300FC0000000700FC0000000600FC000000
1321 0C00FE0000000C007E00000018007E00000030007E00000030007E00000060007E000000
1322 E0007E000000C0007E00000180007F000001FFFFFF000003FFFFFF00000600003F000006
1323 00003F00000C00003F00001C00003F00001800003F00003000003F80003000001F800060
1324 00001F8000C000001F8001C000001F8003C000001F8007C000001F800FC000003FC0FFF8
1325 0007FFFEFFF80007FFFE2F2F7DAE35>65 D<003FFFFFFF00003FFFFFFFC00000FE0007F0
1326 0000FE0001F80000FC0000FC0000FC00007E0001FC00007E0001FC00007F0001F800007F
1327 0001F800007F0003F800007F0003F800007E0003F00000FE0003F00000FE0007F00001FC
1328 0007F00001F80007E00003F00007E00007E0000FE0001FC0000FE0007F00000FC003FC00
1329 000FFFFFF800001FFFFFFE00001FC0003F80001F80000FC0001F80000FE0003F800007E0
1330 003F800007F0003F000007F0003F000003F0007F000003F0007F000003F0007E000007F0
1331 007E000007F000FE000007E000FE00000FE000FC00000FC000FC00001FC001FC00003F80
1332 01FC00007F0001F80000FE0001F80003F80003F8000FF000FFFFFFFFC000FFFFFFFC0000
1333 302D7CAC35>I<0000007FC003000003FFF80700001FC03E0F00007E00071F0001F80003
1334 BF0003F00001FE000FC00000FE001F8000007E003F0000007E007E0000007C00FC000000
1335 3C01F80000003C03F80000003C07F0000000380FE0000000380FE0000000381FC0000000
1336 381FC0000000303F80000000003F80000000007F80000000007F00000000007F00000000
1337 007F0000000000FF0000000000FE0000000000FE0000000000FE0000000000FE00000000
1338 00FE0000000000FE0000000180FE0000000380FE0000000300FE00000003007E00000007
1339 007E00000006007E0000000E003F0000001C003F00000038001F80000070000F800000E0
1340 0007C00001C00003E00007800001F8001E0000007E00F80000001FFFE000000003FF0000
1341 00302F7CAD32>I<003FFFFFFE0000003FFFFFFFC0000000FE0007F0000000FE0001F800
1342 0000FC00007E000000FC00003F000001FC00001F000001FC00001F800001F800000F8000
1343 01F800000FC00003F8000007C00003F8000007E00003F0000007E00003F0000007E00007
1344 F0000007E00007F0000007E00007E0000007E00007E0000007E0000FE0000007E0000FE0
1345 000007E0000FC000000FE0000FC000000FE0001FC000000FE0001FC000000FC0001F8000
1346 001FC0001F8000001FC0003F8000001F80003F8000003F80003F0000003F00003F000000
1347 3F00007F0000007E00007F0000007E00007E000000FC00007E000000F80000FE000001F8
1348 0000FE000003F00000FC000007E00000FC00000FC00001FC00001F000001FC00003E0000
1349 01F80000FC000001F80003F0000003F8001FC00000FFFFFFFF000000FFFFFFF800000033
1350 2D7CAC3A>I<003FFFFFFFFF80003FFFFFFFFF800000FE00007F800000FE00000F800000
1351 FC000007800000FC000007800001FC000003800001FC000003000001F8000003000001F8
1352 000003000003F8000003000003F8000003000003F0000003000003F0003003000007F000
1353 7003000007F0007000000007E0006000000007E000E00000000FE000E00000000FE001E0
1354 0000000FC007C00000000FFFFFC00000001FFFFFC00000001FC007C00000001F80038000
1355 00001F8003800000003F8003800000003F8003800000003F0003000C00003F0003000C00
1356 007F0003001C00007F0000001800007E0000003800007E000000300000FE000000700000
1357 FE000000E00000FC000000E00000FC000001C00001FC000003C00001FC000007800001F8
1358 00000F800001F800001F800003F80001FF0000FFFFFFFFFF0000FFFFFFFFFE0000312D7D
1359 AC34>I<003FFFFFFFFF003FFFFFFFFF0000FE00007F0000FE00001F0000FC00000F0000
1360 FC00000F0001FC0000070001FC0000060001F80000060001F80000060003F80000060003
1361 F80000060003F00000060003F00030060007F00070060007F00070000007E00060000007
1362 E000E000000FE000E000000FE001E000000FC007C000000FFFFFC000001FFFFFC000001F
1363 C007C000001F80038000001F80038000003F80038000003F80038000003F00030000003F
1364 00030000007F00030000007F00000000007E00000000007E0000000000FE0000000000FE
1365 0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F8
1366 0000000003F800000000FFFFF0000000FFFFF0000000302D7DAC2D>I<003FFFFC0FFFFF
1367 003FFFFC0FFFFF0000FE00003F800000FE00003F800000FC00003F000000FC00003F0000
1368 01FC00007F000001FC00007E000001F800007E000001F800007E000003F80000FE000003
1369 F80000FC000003F00000FC000003F00000FC000007F00001FC000007F00001F8000007E0
1370 0001F8000007E00001F800000FE00003F800000FE00003F000000FC00003F000000FFFFF
1371 FFF000001FFFFFFFF000001FC00007E000001F800007E000001F800007E000003F80000F
1372 E000003F80000FC000003F00000FC000003F00000FC000007F00001FC000007F00001F80
1373 00007E00001F8000007E00001F800000FE00003F800000FE00003F000000FC00003F0000
1374 00FC00003F000001FC00007F000001FC00007E000001F800007E000001F800007E000003
1375 F80000FE0000FFFFE03FFFF800FFFFE03FFFF800382D7CAC3A>72
1376 D<003FFFFE0000003FFFFE00000000FF0000000000FE0000000000FC0000000000FC0000
1377 000001FC0000000001FC0000000001F80000000001F80000000003F80000000003F80000
1378 000003F00000000003F00000000007F00000000007F00000000007E00000000007E00000
1379 00000FE0000000000FE0000000000FC0000000000FC0000000001FC0000000001FC00000
1380 00001F80000000001F80000000003F80000000003F80000000003F00000180003F000001
1381 80007F00000380007F00000300007E00000700007E0000060000FE00000E0000FE00000E
1382 0000FC00001C0000FC00003C0001FC00003C0001FC0000780001F80001F80001F80003F0
1383 0003F8001FF000FFFFFFFFF000FFFFFFFFE000292D7DAC30>76 D<003FFFFFFF0000003F
1384 FFFFFFE0000000FE0007F0000000FE0001FC000000FC00007E000000FC00007E000001FC
1385 00003F000001FC00003F000001F800003F000001F800003F800003F800003F000003F800
1386 007F000003F000007F000003F000007F000007F00000FE000007F00000FE000007E00000
1387 FC000007E00001F800000FE00003F000000FE00007E000000FC0001F8000000FC000FF00
1388 00000FFFFFF80000001FFFFFC00000001F8000000000001F8000000000001F8000000000
1389 003F8000000000003F0000000000003F0000000000003F0000000000007F000000000000
1390 7E0000000000007E0000000000007E000000000000FE000000000000FC000000000000FC
1391 000000000000FC000000000001FC000000000001F8000000000001F8000000000003F800
1392 00000000FFFFE000000000FFFFE000000000312D7DAC2D>80 D<0000007FC000000007FF
1393 F80000001F80FE0000007C001F800001F8000FC00007E00007E0000FC00003F0001F0000
1394 01F0003E000001F8007E000000FC00FC000000FC01F8000000FC03F0000000FE07F00000
1395 007E07E00000007E0FE00000007E1FC00000007E1FC00000007E3F800000007E3F800000
1396 00FE3F80000000FE7F00000000FE7F00000000FE7F00000000FEFE00000001FCFE000000
1397 01FCFE00000001FCFE00000003F8FE00000003F8FE00000003F0FE00000007F0FC000000
1398 07E0FE0000000FE0FE0000000FC0FE0000001F807E0000003F007E003E003F003E00FF00
1399 7E003F01C380FC001F0381C1F8001F8700C3E0000FC600CFC00007E600DF000003F600FE
1400 000000FF03F80000003FFFE001800007FEE00180000000E00380000000F00300000000F0
1401 0700000000F00F00000000F83E00000000FFFE00000000FFFC00000000FFF800000000FF
1402 F8000000007FF0000000007FC0000000001F00002F3B7CAD38>I<003FFFFFF80000003F
1403 FFFFFF00000000FE001FC0000000FE0007E0000000FC0003F0000000FC0001F8000001FC
1404 0000FC000001FC0000FC000001F80000FE000001F80000FE000003F80000FE000003F800
1405 01FC000003F00001FC000003F00001FC000007F00003F8000007F00003F0000007E00007
1406 E0000007E0000FC000000FE0001F8000000FE0007E0000000FC003F80000000FFFFFE000
1407 00001FFFFF000000001FC007C00000001F8003E00000001F8001F00000003F8001F80000
1408 003F8000F80000003F0000FC0000003F0000FC0000007F0001FC0000007F0001FC000000
1409 7E0001F80000007E0001F8000000FE0003F8000000FE0003F8000000FC0003F8000000FC
1410 0003F8000001FC0003F8038001FC0003F8030001F80003F8030001F80003F8070003F800
1411 01FC0E00FFFFE000FC3C00FFFFE0007FF000000000000FC000312E7CAC35>I<FFFFC000
1412 0FFFC0FFFFC0000FFFC007F8000001FC0003F0000000F00003F0000000E00003F0000001
1413 C00003F0000001800003F8000003000001F8000003000001F8000006000001F800000C00
1414 0001F800000C000001F8000018000001FC000030000000FC000030000000FC0000600000
1415 00FC0000C0000000FC0000C0000000FC000180000000FE000300000000FE000300000000
1416 7E0006000000007E000C000000007E000C000000007E0018000000007F0030000000007F
1417 0030000000003F0060000000003F00C0000000003F00C0000000003F0180000000003F83
1418 00000000003F8300000000001F8600000000001F8C00000000001F8C00000000001F9800
1419 000000001FF000000000001FF000000000000FE000000000000FC000000000000FC00000
1420 0000000F8000000000000F0000000000000F000000000000060000000000322E7CAC29>
1421 86 D<FFFF801FFFF001FFF8FFFF801FFFF001FFF807F80001FE00003F8007F00000FC00
1422 001F0007E00000FC00001E0007E00000FC00001C0007E00000FC0000180007F00001FC00
1423 00300003F00001FC0000300003F00003FE0000600003F000037E0000E00003F000067E00
1424 00C00003F0000E7E0001800003F0000C7E0001800003F000187E0003000003F000187E00
1425 03000003F000307E0006000003F000307E000C000003F000607E000C000003F800C07E00
1426 18000001F800C07E0018000001F801807F0030000001F801803F0070000001F803003F00
1427 60000001F807003F00C0000001F806003F00C0000001F80C003F0180000001F80C003F03
1428 80000001F818003F0300000001F838003F0600000001FC30003F0600000000FC60003F0C
1429 00000000FC60003F8C00000000FCC0001F9800000000FCC0001FB000000000FD80001FB0
1430 00000000FF00001FE000000000FF00001FE000000000FE00001FC000000000FE00001FC0
1431 00000000FC00001F8000000000FC00001F0000000000F800001F00000000007000001E00
1432 000000007000001E00000000006000000C00000000452E7CAC43>I<000FFFFC007FFF00
1433 0FFFFC007FFF00007FC0000FF000003F80000F8000003F80000F0000001FC0001E000000
1434 1FC000180000000FC000300000000FE0006000000007E000C000000007F0018000000003
1435 F0030000000003F8060000000003F80C0000000001FC180000000001FC300000000000FE
1436 600000000000FEC000000000007F8000000000007F0000000000003F8000000000003F80
1437 00000000001FC000000000003FC000000000006FC00000000000CFE0000000000187E000
1438 0000000307F0000000000703F0000000000E03F8000000001C03F8000000003801FC0000
1439 00007001FC00000000E000FE00000001C000FE0000000380007F0000000700007F000000
1440 0E00003F8000001C00003F8000003800001FC000007000001FC00001F000001FE00007F8
1441 00003FE000FFFE0003FFFF00FFFE0003FFFF00382D7EAC3A>I<0000078000001FC00000
1442 3CE0000078600000F0600001E0600001E0600003C0600003C0E0000780C0000F80C0000F
1443 80C0001F01C0001F0180001F0180003E0380003E0300003E0700007C0600007C0E00007C
1444 1C0000FC180000F8380000F8700000F8E00001F8C00001F1C00001F3800001F7000001FE
1445 000001FC000003F8000003F0000003E0000003E0000003E0000007E000000FE000001DE0
1446 000039E0000071E00040E1E000C000E003C000F0070000F00E0000787C00003FF000000F
1447 80001B3080AE1D>96 D<0007E000001FF800007C1CE000F80DE001F00FE003E007E007C0
1448 07E00FC007E01F8007C01F8007C03F0007C03F000FC07F000F807E000F807E000F807E00
1449 1F80FE001F00FC001F00FC001F00FC003F02FC003E06FC003E06F8003E06F8007E0E7C00
1450 FE0C7C00FC0C7C01FC1C3E07BE181F0E1E380FFC0FF003F003C01F1F7D9D25>I<00F800
1451 001FF800001FF8000001F8000001F8000001F0000001F0000003F0000003F0000003E000
1452 0003E0000007E0000007E0000007C0000007C000000FC000000FC7E0000F9FF8000FB83C
1453 001FF01E001FE01F001FC01F001F800F803F000F803F000F803E000F803E000F807E001F
1454 807E001F807C001F807C001F807C003F80FC003F00F8003F00F8003F00F8007E00F8007E
1455 00F8007C00F800FC00F800F8007801F0007803F0007807E0003C0F80001E1F00000FFC00
1456 0003F00000192F7DAD1E>I<0001F800000FFE00003E0780007C018001F801C003F007C0
1457 07E00FC00FC00FC00F800F801F800F803F0000003F0000007F0000007E0000007E000000
1458 7E000000FE000000FC000000FC000000FC000000FC000000FC000000FC0000607C0000E0
1459 7C0001C07C0003803E000F001E001C000F81F80007FFE00000FE00001B1F7D9D1F>I<00
1460 00001F000003FF000003FF0000003F0000003F0000003E0000003E0000007E0000007E00
1461 00007C0000007C000000FC000000FC000000F8000000F8000001F80007E1F8001FF9F000
1462 7C1DF000F80FF001F00FF003E007E007C007E00FC007E01F8007E01F8007C03F0007C03F
1463 000FC07F000FC07E000F807E000F807E001F80FE001F80FC001F00FC001F00FC003F02FC
1464 003F06FC003E06F8003E06F8007E0E7C00FE0C7C00FC0C7C01FC1C3E07BE181F0E1E380F
1465 FC0FF003F003C0202F7DAD24>I<0003F800000FFE00003E078000F8038001F003C003E0
1466 01C007C001C00FC003C01F8003801F8007803F000F003F001E007F01FC007FFFF0007FFF
1467 00007E000000FE000000FC000000FC000000FC000000FC0000007C0000007C0000607C00
1468 00E07C0001C03E0003803E000F001F001C000F81F80003FFE00000FE00001B1F7D9D21>
1469 I<0000007C00000001FF00000007C38000000F878000000F0F8000001F1F8000001F1F80
1470 00001F1F8000003E0E0000003E000000003E000000003E000000007E000000007C000000
1471 007C000000007C000000007C00000000FC0000003FFFF800003FFFF8000000F800000000
1472 F800000000F800000001F800000001F000000001F000000001F000000001F000000003F0
1473 00000003E000000003E000000003E000000003E000000007E000000007C000000007C000
1474 000007C000000007C000000007C00000000FC00000000F800000000F800000000F800000
1475 000F800000001F800000001F000000001F000000001F000000001F000000003E00000000
1476 3E000000003E000000383C000000FC3C000000FC78000000FC78000000FCF0000000F0F0
1477 000000E1E00000007FC00000001F00000000213D7CAE22>I<0000FC000003FF00000F83
1478 9C001F01BC003E01FC007C00FC00F800FC01F800FC03F000FC03F000F807E000F807E001
1479 F80FE001F80FC001F00FC001F00FC003F01FC003F01F8003E01F8003E01F8007E01F8007
1480 E01F8007C01F8007C00F800FC00F801FC007803F8007C07F8003E1FF8000FF9F80003E1F
1481 0000001F0000003F0000003F0000003E0000003E0000007E0038007C00FC00FC00FC00F8
1482 00FC01F000F807E000F00F80007FFE00001FF800001E2C7E9D22>I<001F00000003FF00
1483 000003FF000000003F000000003F000000003E000000003E000000007E000000007E0000
1484 00007C000000007C00000000FC00000000FC00000000F800000000F800000001F8000000
1485 01F83F000001F1FFC00001F3C1F00003FF00F00003FC00F80003F800F80003F800F80007
1486 F000F80007E000F80007E000F80007C000F8000FC001F8000FC001F0000F8001F0000F80
1487 01F0001F8003F0001F8003E0001F0003E0001F0007E0003F0007C0403F0007C0C03E000F
1488 C0C03E000F80C07E000F81C07E001F01807C001F03807C001F0700FC000F0600FC000F1E
1489 00F80007F800700001E000222F7DAD29>I<000700000F80001FC0001FC0000F80000700
1490 00000000000000000000000000000000000000000000000000000001E00007F8000E3C00
1491 1C3E00383E00303E00703E00607E00E07C00C07C00C0FC0080F80000F80001F80001F000
1492 03F00003E00003E00007E00007C04007C0C00FC0C00F80C00F81C01F01801F03801F0700
1493 0F06000F1E0007F80001F000122E7EAC18>I<000000E0000001F0000003F0000003F000
1494 0003F0000001C00000000000000000000000000000000000000000000000000000000000
1495 0000000000000000007C000003FE0000078F80000E0780001C0780003807C0003007C000
1496 700FC000600F8000E00F8000C00F8000801F8000001F8000001F0000001F0000003F0000
1497 003F0000003E0000003E0000007E0000007E0000007C0000007C000000FC000000FC0000
1498 00F8000000F8000001F8000001F8000001F0000001F0000003F0000003F0000003E00000
1499 03E0000007E0003807C000FC0FC000FC0F8000FC1F0000F83E0000F0F800007FF000001F
1500 8000001C3B81AC1D>I<001F000003FF000003FF0000003F0000003F0000003E0000003E
1501 0000007E0000007E0000007C0000007C000000FC000000FC000000F8000000F8000001F8
1502 000001F800F801F003FC01F00F0E03F01C1E03F0387E03E0707E03E0E07E07E1C07E07E3
1503 803807C7000007CE00000FDC00000FF800000FF800000FFF80001F9FE0001F83F0001F01
1504 F8001F00F8003F00F8043F00F80C3E00F80C3E00F80C7E00F81C7E00F8187C00F0387C00
1505 F830FC00F870FC0078E0F8003FC070000F801F2F7DAD25>I<007C0FFC0FFC00FC00FC00
1506 F800F801F801F801F001F003F003F003E003E007E007E007C007C00FC00FC00F800F801F
1507 801F801F001F003F003F003E003E007E007E007C007C00FC08FC18F818F818F838F830F0
1508 30F070F86078E03FC00F000E2F7DAD15>I<078007F0007E00001FE01FFC03FF800018F0
1509 781F0783E0003878E00F1E01E0003079C00FB801F000707F800FB001F000607F000FF001
1510 F00060FE000FE001F000E0FE000FC001F000C0FC000FC001F000C0F8000F8001F00081F8
1511 001F8003F00001F8001F8003E00001F0001F0003E00001F0001F0003E00003F0003F0007
1512 E00003F0003F0007C00003E0003E0007C00003E0003E000FC00007E0007E000F808007E0
1513 007E000F818007C0007C001F818007C0007C001F01800FC000FC003F03800FC000FC003E
1514 03000F8000F8003E07000F8000F8003E0E001F8001F8001E0C001F8001F8001E3C001F00
1515 01F0000FF0000E0000E00003E000391F7E9D3E>I<07C007E0001FE03FF80018F8783E00
1516 3879E01E00307B801F00707F001F00607F001F0060FE001F00E0FC001F00C0FC001F00C0
1517 F8001F0081F8003F0001F8003E0001F0003E0001F0003E0003F0007E0003F0007C0003E0
1518 007C0003E000FC0007E000F80807E000F81807C001F81807C001F0180FC001F0380FC003
1519 E0300F8003E0700F8003E0E01F8001E0C01F8001E3C01F0000FF000E00003E00251F7E9D
1520 2B>I<007C01F80000FE07FE0001CF8E0F0003879C07800307B807C00707F007C00607E0
1521 03E0060FC003E00E0F8003E00C0F8003E00C0F8003E0081F8007E0001F8007E0001F0007
1522 E0001F0007E0003F000FE0003F000FC0003E000FC0003E000FC0007E001F80007E001F80
1523 007C001F00007C003F0000FC003E0000FC007C0000FC00FC0000FE01F80001FF03E00001
1524 FB87C00001F1FF000001F0FC000003F000000003F000000003E000000003E000000007E0
1525 00000007E000000007C000000007C00000000FC00000000FC0000000FFFC000000FFFC00
1526 0000232B829D24>112 D<0007E030001FF870007C1CF000F80DF001F00FF003E007E007
1527 C007E00FC003E01F8007E01F8007C03F0007C03F0007C07F000FC07E000F807E000F807E
1528 000F80FE001F80FC001F00FC001F00FC001F00FC003F00FC003E00F8003E00F8007E007C
1529 00FE007C00FC007C01FC003E07FC001F0EFC000FFCF80003F0F8000000F8000001F80000
1530 01F0000001F0000001F0000003F0000003E0000003E0000007E0000007E00000FFFE0000
1531 FFFE001C2B7D9D20>I<07C01F000FF07FC01CF8E0E03879C1E0307B87E0707F07E0607E
1532 07E060FC07E0E0FC0380C0F80000C0F8000081F8000001F8000001F0000001F0000003F0
1533 000003F0000003E0000003E0000007E0000007E0000007C0000007C000000FC000000FC0
1534 00000F8000000F8000001F8000001F8000001F0000000E0000001B1F7E9D20>I<0007E0
1535 003FF800781E00F00601E00703C00F03C01F03C01F07C01E07C00C07E00007F80007FF80
1536 03FFE001FFF000FFF8003FFC0001FC0000FC00007C78003CFC003CFC003CFC007CF80078
1537 E000F8E000F06001E07807C01FFF0007F800181F7C9D21>I<000E00001F00001F00003F
1538 00003F00003E00003E00007E00007E00007C00007C0000FC0000FC00FFFFF8FFFFF801F8
1539 0001F80001F00001F00003F00003F00003E00003E00007E00007E00007C00007C0000FC0
1540 000FC0000F80000F80001F80101F80301F00301F00701F00601F00E01E01C01E03801F07
1541 000F0E0007FC0001F000152B7EA919>I<003F007C0000FFC1FF0001C1E383800380F703
1542 C00700F60FC00E00FE0FC01C00FC0FC01800FC0FC03800FC07003000F800003000F80000
1543 2001F800000001F000000001F000000001F000000003F000000003E000000003E0000000
1544 03E000000007E001000007E003000007C003003807C007007C0FC00600FC0FC00E00FC1F
1545 C00C00FC1BC01C00F03BE038007071E0F0003FE0FFC0000F803F0000221F7E9D28>120
1546 D<01E0000007F8000E0E3C001F1C3E003F383E003E303E003E703E003E607E007EE07C00
1547 7CC07C007CC0FC007C80F800FC00F800F801F800F801F000F801F001F803F001F003E001
1548 F003E001F003E003F007E003E007C003E007C003E007C007E007C007C003C00FC003E01F
1549 C003E03FC001F07F80007FEF80001F8F8000001F8000001F0000001F003E003E003E003E
1550 007E007C007E00F8007C01F0007003E0003007C0003C0F80000FFE000003F00000202C7E
1551 9D23>I<001E0030003F803000FFC07001FFE0E001FFF1C003C0FFC003803F8003000700
1552 07000E0000001C0000003800000070000000E0000001C0000003800000070000001E0000
1553 003800000070000000E0004001C000C0038000C0070001C00E0003800FE007801FF81F00
1554 387FFF00703FFE00601FFC00E00FF000C003C0001C1F7D9D21>I
1555 E /Fi 36 122 df<000000007000000000E000000001C000000003800000000700000000
1556 0E000000003C000000007800000000F800000000F000000001E000000003C00000000780
1557 0000000F800000001F000000001E000000003E000000007C000000007800000000F80000
1558 0001F000000001E000000003E000000007C000000007C00000000F800000000F80000000
1559 1F000000001F000000003F000000003E000000007E000000007C000000007C00000000F8
1560 00000000F800000001F800000001F000000001F000000003F000000003E000000003E000
1561 000007E000000007C000000007C00000000FC00000000FC00000000F800000000F800000
1562 001F800000001F800000001F000000001F000000003F000000003F000000003E00000000
1563 3E000000003E000000007E000000007E000000007C000000007C000000007C000000007C
1564 000000007C000000007C00000000F800000000F800000000F800000000F800000000F800
1565 000000F800000000F800000000F800000000F800000000F800000000F800000000780000
1566 0000780000000078000000007800000000780000000078000000007C000000003C000000
1567 003C000000003C000000003C000000001E000000001E000000000E000000000F00000000
1568 0F0000000007000000000380000000038000000001C000000001C000000000E000000000
1569 60000000246472CA28>40 D<000000600000000060000000007000000000380000000038
1570 000000001C000000001E000000000E000000000F000000000F0000000007000000000780
1571 0000000780000000078000000003C000000003C000000003C000000003C000000003C000
1572 000003E000000003E000000001E000000001E000000001E000000001E000000001E00000
1573 0001E000000001E000000003E000000003E000000003E000000003E000000003E0000000
1574 03E000000003E000000003E000000003E000000007E000000007E000000007C000000007
1575 C000000007C000000007C00000000FC00000000FC00000000F800000000F800000001F80
1576 0000001F800000001F000000001F000000003F000000003F000000003E000000003E0000
1577 00007E000000007E000000007C00000000FC00000000FC00000000F800000001F8000000
1578 01F800000001F000000003F000000003E000000003E000000007E000000007C00000000F
1579 C00000000F800000000F800000001F000000001F000000003E000000003E000000007C00
1580 0000007800000000F800000001F000000001F000000003E000000003C000000007C00000
1581 000F800000000F000000001E000000003E000000007C000000007800000000F000000001
1582 E000000003C000000007800000000F000000001E000000003C000000007800000000E000
1583 000000C00000000023647FCA28>I<00F003FC07FC07FC0FFE0FFE0FFE0FFE07FC03CC00
1584 0C001C00180018003800300070006000E001C00180038007000E001C0038007000E000C0
1585 000F1D7A891E>44 D<7FFFFFFFFFFFFFFFFFFFFFFEFFFFFE1805789723>I<0F003FC07F
1586 C07FC0FFC0FFC0FFC0FF807F003C000A0A76891E>I<0000000000038000000000000007
1587 8000000000000007800000000000000FC00000000000000FC00000000000001FC0000000
1588 0000001FC00000000000003FC00000000000007FC00000000000007FC0000000000000FF
1589 C0000000000000FFC0000000000001FFC0000000000001FFC0000000000003BFC0000000
1590 000007BFC00000000000073FC000000000000F3FC000000000000E3FC000000000001C3F
1591 C000000000001C3FE00000000000383FE00000000000381FE00000000000701FE0000000
1592 0000F01FE00000000000E01FE00000000001C01FE00000000001C01FE00000000003801F
1593 E00000000003801FE00000000007001FE00000000007001FE0000000000E001FE0000000
1594 001E001FE0000000001C001FE00000000038001FE00000000038001FF00000000070001F
1595 F00000000070000FF000000000E0000FF000000001E0000FF000000001C0000FF0000000
1596 03C0000FF00000000380000FF00000000700000FF000000007FFFFFFF00000000FFFFFFF
1597 F00000000FFFFFFFF00000001C00000FF00000003C00000FF00000003800000FF0000000
1598 7000000FF00000007000000FF0000000E000000FF8000000E000000FF8000001C0000007
1599 F8000001C0000007F800000380000007F800000780000007F800000700000007F800000E
1600 00000007F800001E00000007F800001E00000007F800003C00000007F800007C00000007
1601 F80000FC00000007F80001FC0000000FFC0007FE0000001FFC00FFFFE00007FFFFF8FFFF
1602 E00007FFFFF8FFFFE00007FFFFF03D477BC648>65 D<0000FFFFFFFFFC00000000FFFFFF
1603 FFFF80000000FFFFFFFFFFE000000001FF80001FF000000000FF000007F800000001FF00
1604 0003FC00000001FF000001FE00000001FE000001FF00000001FE000000FF00000001FE00
1605 0000FF80000003FE0000007F80000003FC0000007F80000003FC0000007F80000003FC00
1606 00007F80000007FC0000007F80000007F80000007F80000007F8000000FF80000007F800
1607 0000FF8000000FF8000000FF0000000FF0000001FF0000000FF0000001FE0000000FF000
1608 0003FE0000001FF0000003FC0000001FE0000007F80000001FE000000FF80000001FE000
1609 001FF00000003FE000003FE00000003FC000007F800000003FC00000FF000000003FC000
1610 03FC000000007FC0000FF8000000007F8000FFC0000000007FFFFFFF00000000007FFFFF
1611 FFE000000000FF800007F800000000FF000001FC00000000FF000000FE00000000FF0000
1612 007F00000001FF0000007F80000001FE0000003FC0000001FE0000003FC0000001FE0000
1613 003FC0000003FE0000003FE0000003FC0000003FE0000003FC0000003FE0000003FC0000
1614 003FE0000007FC0000003FE0000007F80000003FE0000007F80000003FE0000007F80000
1615 003FE000000FF80000003FC000000FF00000007FC000000FF00000007FC000000FF00000
1616 00FF8000001FF0000000FF8000001FE0000001FF0000001FE0000001FE0000001FE00000
1617 03FE0000003FE0000007FC0000003FC000000FF80000003FC000001FF00000007FC00000
1618 3FE00000007FC000007FC00000007F800001FF00000000FF80000FFE000000FFFFFFFFFF
1619 F8000000FFFFFFFFFFC0000000FFFFFFFFFE0000000041447AC345>I<000000000FF800
1620 0300000000FFFF000700000007FFFFC00F0000001FF803E01F0000007FC000F81E000000
1621 FF00007C3E000003FC00003C7E00000FF000001EFE00001FE000000FFC00003FC0000007
1622 FC00007F00000007FC0000FE00000003FC0001FC00000003F80003FC00000003F80007F8
1623 00000001F8000FF000000001F8001FE000000001F0003FC000000001F0007FC000000001
1624 F0007F8000000001F000FF8000000001E001FF0000000001E001FF0000000001E003FE00
1625 00000001E003FE0000000001C007FC0000000001C007FC0000000001C00FF80000000001
1626 C00FF80000000000001FF80000000000001FF00000000000001FF00000000000003FF000
1627 00000000003FE00000000000003FE00000000000003FE00000000000007FE00000000000
1628 007FC00000000000007FC00000000000007FC00000000000007FC0000000000000FF8000
1629 0000000000FF80000000000000FF80000000000000FF80000000000000FF800000000038
1630 00FF80000000003800FF80000000007800FF80000000007000FF80000000007000FF8000
1631 000000F0007F8000000000E0007F8000000001E0007F8000000001C0007F8000000003C0
1632 003F800000000380003F800000000780003FC00000000F00001FC00000000E00001FC000
1633 00001E00000FE00000003C00000FF000000078000007F0000000F0000003F8000001E000
1634 0003FC000007C0000001FE00000F800000007F00003E000000003FC000FC000000001FF8
1635 07F00000000007FFFFC00000000001FFFF0000000000001FF000000000404872C546>I<
1636 0000FFFFFFFFFFFFC00000FFFFFFFFFFFFC00000FFFFFFFFFFFFC0000001FF800003FF80
1637 000000FF0000007F80000001FF0000003F80000001FF0000001F80000001FE0000000F80
1638 000001FE0000000F80000001FE0000000F80000003FE0000000700000003FC0000000700
1639 000003FC0000000700000003FC0000000700000007FC0000000700000007F80000000F00
1640 000007F80000000E00000007F80000000E0000000FF80000000E0000000FF00007000E00
1641 00000FF00007000E0000000FF0000F000E0000001FF0000E00000000001FE0000E000000
1642 00001FE0000E00000000001FE0001E00000000003FE0001C00000000003FC0003C000000
1643 00003FC0007C00000000003FC000FC00000000007FC003F800000000007FFFFFF8000000
1644 00007FFFFFF800000000007FFFFFF80000000000FF8003F00000000000FF0001F0000000
1645 0000FF0000F00000000000FF0000F00000000001FF0000E00000000001FE0000E0000000
1646 0001FE0000E00000000001FE0001E00000000003FE0001C00070000003FC0001C0007000
1647 0003FC0001C000F0000003FC0001C000E0000007FC00000000E0000007F800000001E000
1648 0007F800000001C0000007F800000003C000000FF8000000038000000FF0000000078000
1649 000FF0000000070000000FF00000000F0000001FF00000000F0000001FE00000001E0000
1650 001FE00000003E0000001FE00000003C0000003FE00000007C0000003FC0000000FC0000
1651 003FC0000001F80000007FC0000003F80000007FC000000FF00000007F8000003FF00000
1652 00FF800003FFE00000FFFFFFFFFFFFE00000FFFFFFFFFFFFE00000FFFFFFFFFFFFC00000
1653 42447AC342>69 D<0000FFFFFF803FFFFFE00000FFFFFF803FFFFFE00000FFFFFF803FFF
1654 FFE0000001FF8000007FE000000000FF0000003FC000000001FF0000007FC000000001FF
1655 0000007FC000000001FE0000007F8000000001FE0000007F8000000001FE000000FF8000
1656 000003FE000000FF8000000003FC000000FF0000000003FC000000FF0000000003FC0000
1657 01FF0000000007FC000001FF0000000007F8000001FE0000000007F8000001FE00000000
1658 07F8000003FE000000000FF8000003FE000000000FF0000003FC000000000FF0000003FC
1659 000000000FF0000007FC000000001FF0000007FC000000001FE0000007F8000000001FE0
1660 000007F8000000001FE000000FF8000000003FE000000FF8000000003FC000000FF00000
1661 00003FC000000FF0000000003FC000001FF0000000007FC000001FF0000000007FFFFFFF
1662 FFE0000000007FFFFFFFFFE0000000007FFFFFFFFFE000000000FF8000003FE000000000
1663 FF0000003FC000000000FF0000003FC000000000FF0000007FC000000001FF0000007FC0
1664 00000001FE0000007F8000000001FE0000007F8000000001FE000000FF8000000003FE00
1665 0000FF8000000003FC000000FF0000000003FC000000FF0000000003FC000001FF000000
1666 0007FC000001FF0000000007F8000001FE0000000007F8000001FE0000000007F8000003
1667 FE000000000FF8000003FE000000000FF0000003FC000000000FF0000003FC000000000F
1668 F0000007FC000000001FF0000007FC000000001FE0000007F8000000001FE0000007F800
1669 0000001FE000000FF8000000003FE000000FF8000000003FC000000FF0000000003FC000
1670 000FF0000000007FC000001FF0000000007FC000001FF0000000007F8000001FE0000000
1671 00FFC000003FF0000000FFFFFF803FFFFFE00000FFFFFF803FFFFFE00000FFFFFF803FFF
1672 FFE000004B447AC348>72 D<00007FFFFFE00000FFFFFFE00000FFFFFFE0000000FFE000
1673 0000007F8000000000FF8000000000FF8000000000FF0000000000FF0000000000FF0000
1674 000001FF0000000001FE0000000001FE0000000001FE0000000003FE0000000003FC0000
1675 000003FC0000000003FC0000000007FC0000000007F80000000007F80000000007F80000
1676 00000FF8000000000FF0000000000FF0000000000FF0000000001FF0000000001FE00000
1677 00001FE0000000001FE0000000003FE0000000003FC0000000003FC0000000003FC00000
1678 00007FC0000000007F80000000007F80000000007F8000000000FF8000000000FF000000
1679 0000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000001FE000000
1680 0003FE0000000003FC0000000003FC0000000003FC0000000007FC0000000007F8000000
1681 0007F80000000007F8000000000FF8000000000FF0000000000FF0000000000FF0000000
1682 001FF0000000001FE0000000001FE0000000003FE0000000003FE0000000003FC0000000
1683 00FFE0000000FFFFFFE00000FFFFFFE00000FFFFFFC000002B447BC326>I<01FFFFFFFF
1684 FFFFF803FFFFFFFFFFFFF803FFFFFFFFFFFFF803FF0007FC001FF007F80007F80007F007
1685 E0000FF80003F007C0000FF80001F00F80000FF00001F00F00000FF00000F00F00000FF0
1686 0000F01E00001FF00000E01E00001FE00000E01C00001FE00000E03C00001FE00000E038
1687 00003FE00000E03800003FC00001E07800003FC00001C07000003FC00001C0F000007FC0
1688 0001C0E000007F800001C0E000007F800001C0E000007F800001C0000000FF8000000000
1689 0000FF00000000000000FF00000000000000FF00000000000001FF00000000000001FE00
1690 000000000001FE00000000000001FE00000000000003FE00000000000003FC0000000000
1691 0003FC00000000000003FC00000000000007FC00000000000007F800000000000007F800
1692 000000000007F80000000000000FF80000000000000FF00000000000000FF00000000000
1693 000FF00000000000001FF00000000000001FE00000000000001FE00000000000001FE000
1694 00000000003FE00000000000003FC00000000000003FC00000000000003FC00000000000
1695 007FC00000000000007F800000000000007F800000000000007F80000000000000FF8000
1696 0000000000FF00000000000000FF00000000000000FF00000000000001FF000000000000
1697 01FE00000000000001FE00000000000003FE00000000000003FE00000000000007FE0000
1698 000000000FFF00000000007FFFFFFFC00000007FFFFFFFC00000007FFFFFFF800000003D
1699 446FC346>84 D<FFFFFE003FFFFF0007FFFFFFFFFE007FFFFF0007FFFFFFFFFE007FFFFF
1700 0007FFFF03FF800001FFC000007FF003FF000000FF8000003FC003FE000000FF0000001F
1701 8001FE000000FF0000001F0001FE000000FF0000001E0001FE000000FF0000001C0001FE
1702 000000FF0000003C0001FE000000FF000000380001FE000000FF000000780001FE000000
1703 FF000000700001FE000001FF000000E00001FE000001FF000000E00001FE000003FF0000
1704 01C00001FE000007FF000001C00001FE000007FF000003800001FE00000FFF0000038000
1705 01FE00000EFF000007000001FE00001CFF000007000001FE00001CFF00000E000001FE00
1706 0038FF00001E000001FE000038FF00001C000001FE000070FF80003C000001FE000070FF
1707 800038000001FE0000E0FF800070000001FE0000E07F800070000001FE0001C07F8000E0
1708 000001FE0001C07F8000E0000001FF0003807F8001C0000001FF0007807F8001C0000001
1709 FF0007007F800380000000FF000F007F800380000000FF000E007F800700000000FF001C
1710 007F800700000000FF001C007F800E00000000FF0038007F801E00000000FF0038007F80
1711 1C00000000FF0070007F803C00000000FF0070007F803800000000FF00E0007F80700000
1712 0000FF00E0007F807000000000FF01C0007F80E000000000FF03C0007F80E000000000FF
1713 0380007F81C000000000FF0780007F81C000000000FF0700007F838000000000FF0E0000
1714 7F838000000000FF0E00007F870000000000FF1C00007F8F0000000000FF1C00007F8E00
1715 00000000FF3800007FDE0000000000FF3800007FDC0000000000FF7000007FF800000000
1716 00FF7000003FF80000000000FFE000003FF00000000000FFE000003FF00000000000FFC0
1717 00003FE00000000000FFC000003FE00000000000FF8000003FC000000000007F8000003F
1718 C000000000007F0000003F8000000000007E0000003F8000000000007E0000003F000000
1719 0000007C0000003F0000000000007C0000003E000000000000780000003E000000000000
1720 780000003C0000000000007000000038000000000058466CC361>87
1721 D<00001F80000000007FE000000001F07070000007C039F800000F801DF800001F001FF8
1722 00003E000FF000007E000FF00000FC000FF00001F80007F00001F80007E00003F00007E0
1723 0007F00007E00007E0000FE0000FE0000FC0000FE0000FC0001FC0000FC0001FC0001FC0
1724 003FC0001F80003F80001F80003F80001F80003F80003F80007F80003F00007F00003F00
1725 007F00003F00007F00007F00007F00007E0000FE00007E0000FE00007E0000FE0000FE03
1726 80FE0000FC0780FE0000FC0700FE0000FC07007E0001FC07007E0001FC0F007E0003F80E
1727 007E0007F80E003E000FF81E003E000FF81C001F001CF81C001F0038F838000F80F07878
1728 0007C3E07C700001FF801FE000007E00078000292D76AB32>97 D<000FE0000007FFE000
1729 0007FFE0000007FFE00000001FC00000000FC00000001FC00000001FC00000001F800000
1730 001F800000001F800000003F800000003F000000003F000000003F000000007F00000000
1731 7E000000007E000000007E00000000FE00000000FC00000000FC00000000FC00000001FC
1732 00000001F800000001F81F800001F87FE00003F9E0F80003F3C07C0003F7003E0003FE00
1733 3E0007FC001F0007F8001F0007F8001F0007F0001F800FE0001F800FE0001F800FC0001F
1734 800FC0001F801FC0001F801F80001F801F80001F801F80003F803F80003F803F00003F80
1735 3F00003F803F00007F807F00007F007E00007F007E00007F007E0000FF007E0000FE00FC
1736 0000FE00FC0000FE00FC0001FC00FC0001FC00FC0003F800FC0003F8007C0003F0007C00
1737 07E0007C000FE0007C000FC0007C001F80003C003F00003E007E00001E00FC00000F01F8
1738 00000783E0000003FF80000000FE000000214676C42D>I<00000FE00000007FF8000001
1739 F81E000007E00F00000F800780001F000380007E0003C000FC001FC001FC003FC001F800
1740 3FC003F0007F8007F0007F800FE0007F800FE0003E001FC00000001FC00000003F800000
1741 003F800000007F800000007F000000007F000000007F00000000FF00000000FE00000000
1742 FE00000000FE00000000FE00000000FC00000000FC00000000FC00000000FC00000000FC
1743 00000000FC00000180FC000003C0FC00000780FC000007807C00000F007E00001E003E00
1744 007C003E0000F0001F0003E0000F800F800007C07E000001FFF80000007FC00000222D75
1745 AB2D>I<0000000007F000000003FFF000000003FFF000000003FFF0000000000FE00000
1746 000007E0000000000FE0000000000FE0000000000FC0000000000FC0000000001FC00000
1747 00001FC0000000001F80000000001F80000000003F80000000003F80000000003F000000
1748 00003F00000000007F00000000007F00000000007E00000000007E0000000000FE000000
1749 0000FE0000000000FC0000001F80FC0000007FE1FC000001F071FC000007C039F800000F
1750 801DF800001F001FF800003E000FF800007E000FF00000FC000FF00001F80007F00001F8
1751 0007F00003F00007E00007F00007E00007E0000FE0000FE0000FE0000FE0000FC0001FC0
1752 000FC0001FC0001FC0003FC0001FC0003F80001F80003F80001F80003F80003F80007F80
1753 003F80007F00003F00007F00003F00007F00007F00007F00007F0000FE00007E0000FE00
1754 007E0000FE0000FE0380FE0000FE0780FE0000FC0700FE0000FC07007E0001FC07007E00
1755 01FC0F007E0003F80E007E0007F80E003E000FF81E003E000FF81C001F001CF81C001F00
1756 38F838000F80F078780007C3E07C700001FF801FE000007E000780002C4676C432>I<00
1757 000FE00000007FF8000001F83E000007C00F00001F800780003F000780007E0007C000FC
1758 0003C001F80003C003F00007C007F000078007E00007800FE0000F801FC0000F001FC000
1759 1F003F80003E003F8000FC003F8007F0007F80FFC0007FFFFE00007FFFC000007F000000
1760 00FF00000000FE00000000FE00000000FE00000000FE00000000FE00000000FC00000000
1761 FC00000000FC00000000FC00000000FC00000180FC000003C07C000007807C000007807E
1762 00000F003E00001E003E00007C001F0000F0000F0003E00007800F800003C07E000001FF
1763 F80000003FC00000222D75AB2D>I<000000000F80000000003FE000000000F870000000
1764 01F03800000003E0F800000007E1FC00000007C3FC0000000FC7FC0000000FC7FC000000
1765 0F87F80000001F83F00000001F81E00000001F80000000003F80000000003F0000000000
1766 3F00000000003F00000000003F00000000007F00000000007E00000000007E0000000000
1767 7E00000000007E0000000000FE0000000000FC0000000000FC0000000000FC00000001FF
1768 FFFE000001FFFFFE000001FFFFFE00000001F80000000001F80000000001F80000000003
1769 F80000000003F00000000003F00000000003F00000000003F00000000007F00000000007
1770 E00000000007E00000000007E00000000007E0000000000FE0000000000FC0000000000F
1771 C0000000000FC0000000000FC0000000001FC0000000001F80000000001F80000000001F
1772 80000000001F80000000003F80000000003F00000000003F00000000003F00000000003F
1773 00000000003F00000000007F00000000007E00000000007E00000000007E0000000000FE
1774 0000000000FC0000000000FC0000000000FC0000000000FC0000000001FC0000000001F8
1775 0000000001F80000000001F80000000001F80000000003F00000000003F00000000003F0
1776 0000000003E00000000007E00000001C07E00000007F07C0000000FF07C0000000FF0F80
1777 000000FF0F80000000FF0F00000000FE1F00000000F81E00000000F03C00000000787800
1778 0000001FF00000000007C0000000002E5A83C51E>I<000000FC0000000003FF00000000
1779 0F83838000003E01CFC000007C00EFC00000F800FFC00001F0007FC00003F0007F800007
1780 E0003F80000FC0003F80001FC0003F80001F80003F00003F80003F00003F00007F00007F
1781 00007F00007F00007E0000FE00007E0000FE0000FE0001FE0000FE0001FC0000FC0001FC
1782 0000FC0001FC0001FC0003FC0001FC0003F80001F80003F80001F80003F80003F80003F8
1783 0003F80003F00003F00003F00003F00003F00007F00003F00007F00003F00007E00003F0
1784 0007E00003F0000FE00003F0001FE00003F0001FC00001F0003FC00001F0007FC00000F8
1785 00FFC00000F801DF8000007C039F8000003E0F3F8000000FFC3F80000003F03F00000000
1786 003F00000000007F00000000007F00000000007E00000000007E0000000000FE00000000
1787 00FE0000000000FC0000000000FC00001C0001F800007F0001F80000FF0003F00000FF00
1788 07F00000FF000FE00000FE000FC00000FE003F000000F8007E0000007C01F80000001FFF
1789 E000000003FF000000002A407BAB2D>I<0000FE000000007FFE000000007FFE00000000
1790 7FFE0000000001FC0000000000FC0000000001FC0000000001FC0000000001F800000000
1791 01F80000000003F80000000003F80000000003F00000000003F00000000007F000000000
1792 07F00000000007E00000000007E0000000000FE0000000000FE0000000000FC000000000
1793 0FC0000000001FC0000000001FC0000000001F80000000001F807F0000003F83FFC00000
1794 3F8F81F000003F1E00F800003F3800FC00007F70007C00007FE0007C00007FC0007E0000
1795 7FC0007E0000FF80007E0000FF00007E0000FF00007E0000FE00007E0001FC0000FE0001
1796 FC0000FC0001F80000FC0001F80000FC0003F80001FC0003F80001F80003F00001F80003
1797 F00001F80007F00003F80007F00003F00007E00003F00007E00007F0000FE00007E0000F
1798 E00007E0000FC0000FE0000FC0000FC0001FC0000FC0781FC0001FC0701F80001F80701F
1799 80001F80703F80003F80F03F80003F00E03F00003F00E03F00003F01E07F00003E01C07F
1800 00003E03C07E00003E03807E00003E0700FE00001E0F00FE00001F1E00FC00000FF80038
1801 000003E0002D467AC432>I<00003C00007E0000FE0001FE0001FE0001FE0000FC000070
1802 000000000000000000000000000000000000000000000000000000000000000000000000
1803 000000000000007C0001FF0003C7800703C00F03E00E03E01C03E01C07E03807E03807E0
1804 7807E0700FE0700FC0701FC0F01F80E01F80003F80003F00003F00007F00007E00007E00
1805 00FE0000FC0001FC0001F80001F80003F80003F00003F01E07F01C07E01C07E01C0FE03C
1806 0FC0380FC0380FC0780F80700F80F00F80E00F81C00783C007C78003FE0000F800174378
1807 C11E>I<0000FE000000007FFE000000007FFE000000007FFE0000000001FC0000000000
1808 FC0000000001FC0000000001FC0000000001F80000000001F80000000003F80000000003
1809 F80000000003F00000000003F00000000007F00000000007F00000000007E00000000007
1810 E0000000000FE0000000000FE0000000000FC0000000000FC0000000001FC0000000001F
1811 C0000000001F80000000001F80007E00003F8001FF00003F800783C0003F000E07C0003F
1812 003C1FC0007F00701FC0007F00603FC0007E00E03FC0007E01C03FC000FE03803F8000FE
1813 07000E0000FC0E00000000FC1C00000001FC3800000001FC7000000001F8E000000001F9
1814 C000000003FB8000000003FF0000000003FF0000000003FFF000000007F3FC00000007F0
1815 7F00000007E01FC0000007E00FE000000FE007E000000FE007F000000FC003F000000FC0
1816 03F000001FC003F00F001FC003F00F001F8003F00E001F8003F00E003F8003F01E003F80
1817 03F01C003F0003E01C003F0003E01C007F0003E038007F0003E038007E0003E078007E00
1818 03E07000FE0001E0E000FE0001F1E000FC00007F80003800001F00002A467AC42D>107
1819 D<0003F801FFF801FFF801FFF80007F00003F00007F00007F00007E00007E0000FE0000F
1820 E0000FC0000FC0001FC0001FC0001F80001F80003F80003F80003F00003F00007F00007F
1821 00007E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001F80001F80003F80003F8
1822 0003F00003F00007F00007F00007E00007E0000FE0000FE0000FC0000FC0001FC0001FC0
1823 001F80001F80003F80003F80003F00003F00007F01C07F03C07E03807E03807E0780FE07
1824 00FC0700FC0700FC0F00FC0E007C1E007C1C003C3C003E78001FF00007C000154678C419
1825 >I<01F0000FE00007F0000003FC007FF8003FFC0000071E01F03E00F81F00000E1F03C0
1826 1F01E00F80001E0F87001F83800FC0001C0F8E000F870007C0003C0F9C000F8E0007C000
1827 380FB8000FDC0007E000380FF8000FFC0007E000781FF0000FF80007E000701FE0000FF0
1828 0007E000701FE0000FF00007E000701FC0000FE00007E000F01F80001FC0000FE000E03F
1829 80001FC0000FC000E03F00001F80000FC000003F00001F80000FC000003F00003F80001F
1830 C000007F00003F80001F8000007E00003F00001F8000007E00003F00001F8000007E0000
1831 7F00003F800000FE00007F00003F000000FC00007E00003F000000FC00007E00007F0000
1832 00FC0000FE00007E000001FC0000FE00007E000001F80000FC0000FE000001F80000FC00
1833 00FC000001F80001FC0000FC078003F80001FC0001FC070003F00001F80001F8070003F0
1834 0001F80001F8070003F00003F80003F80F0007F00003F80003F00E0007E00003F00003F0
1835 0E0007E00003F00003F01E0007E00007F00003E01C000FE00007F00003E03C000FC00007
1836 E00003E038000FC00007E00003E070000FC0000FE00001E0F0001FC0000FE00001F1E000
1837 1F80000FC00000FF8000070000038000003E0000492D78AB50>I<01F0000FE00003FC00
1838 7FF800071E01F03E000E0F03C01F001E0F87001F801C0F8E000F803C0F9C000F80380FB8
1839 000FC0380FF8000FC0781FF0000FC0701FE0000FC0701FE0000FC0701FC0000FC0F01F80
1840 001FC0E03F80001F80E03F00001F80003F00001F80003F00003F80007F00003F00007E00
1841 003F00007E00003F00007E00007F0000FE00007E0000FC00007E0000FC0000FE0000FC00
1842 00FC0001FC0000FC0001F80001FC0001F80001F80001F80001F80F03F80003F80E03F000
1843 03F00E03F00003F00E03F00007F01E07F00007E01C07E00007E01C07E00007E03C07E000
1844 07C0380FE00007C0780FC00007C0700FC00007C0E00FC00003C1E01FC00003E3C01F8000
1845 01FF00070000007C00302D78AB37>I<00000FE00000007FFC000001F83E000007E00F80
1846 000F8007C0001F0007C0007E0003E000FC0003F000FC0003F001F80001F003F00001F807
1847 F00001F80FE00001F80FE00001F81FC00001F81FC00001F83F800001F83F800003F87F80
1848 0003F87F000003F87F000003F87F000007F8FF000007F0FE000007F0FE000007F0FE0000
1849 0FF0FE00000FE0FC00000FE0FC00001FC0FC00001FC0FC00001F80FC00003F80FC00003F
1850 00FC00007F00FC00007E00FC0000FC007C0001F8007E0003F0003E0003E0003E0007C000
1851 1F001F80000F803E000007C0FC000001FFF00000003F800000252D75AB32>I<0003E000
1852 7E000007F801FF80000E3C0783E0001C1E0F01F0003C1F1C00F800381F3800F800781F70
1853 007C00701FE0007C00701FE0007C00703FC0007E00E03F80007E00E03F80007E00E03F00
1854 007E01E07F00007E01C07F00007E01C07E00007E00007E00007E0000FE0000FE0000FE00
1855 00FE0000FC0000FE0000FC0000FE0001FC0001FE0001FC0001FC0001F80001FC0001F800
1856 01FC0003F80003FC0003F80003F80003F00003F80003F00003F80007F00007F00007F000
1857 07F00007E0000FE00007E0000FE0000FE0000FC0000FE0001F80000FE0003F80000FE000
1858 3F00001FF0007E00001FF000FC00001FF001F800001FB803F000003F9C07E000003F9E0F
1859 8000003F07FE0000003F01F80000007F00000000007F00000000007E00000000007E0000
1860 000000FE0000000000FE0000000000FC0000000000FC0000000001FC0000000001FC0000
1861 000001F80000000001F80000000003F80000000003F80000000007F800000000FFFFF000
1862 0000FFFFF0000000FFFFE00000002F3F7FAB32>I<01F0003F8003FC01FFF0071E03C0F8
1863 0E0F0F007C1E0F9E01FC1C0F9C01FC1C0FB803FC380FF003FC380FF003FC381FE003F878
1864 1FE000E0701FC00000701FC00000F01F800000E03F800000E03F000000003F000000003F
1865 000000007F000000007E000000007E000000007E00000000FE00000000FC00000000FC00
1866 000000FC00000001FC00000001F800000001F800000001F800000003F800000003F00000
1867 0003F000000003F000000007F000000007E000000007E000000007E00000000FE0000000
1868 0FC00000000FC00000000FC00000001FC00000001F800000000700000000262D78AB29>
1869 114 D<00000FE00000007FF8000001F01E000003C00F000007800780000F000380001E00
1870 03C0001E0007C0003C001FC0003C001FC0007C003F800078003F80007C003F80007C000E
1871 00007C000000007E000000007F000000007FF00000007FFF0000003FFFC000001FFFF000
1872 000FFFF8000007FFFC000000FFFC0000000FFE00000001FE00000000FE000000007F0000
1873 00003F000E00003F003F00001E007F80001E007F80001E007F80003E00FF00003C00FF00
1874 003C00FC000078007000007800700000F000780001E0003C0003C0001E000F80000F803E
1875 000003FFF80000007FC00000222D7AAB28>I<000070000001F8000001F8000001F80000
1876 03F8000003F0000003F0000003F0000007F0000007E0000007E0000007E000000FE00000
1877 0FC000000FC000000FC000001FC000001F8000001F80007FFFFFE0FFFFFFE0FFFFFFC000
1878 3F0000003F0000007F0000007E0000007E0000007E000000FE000000FC000000FC000000
1879 FC000001FC000001F8000001F8000001F8000003F8000003F0000003F0000003F0000007
1880 F0000007E0000007E0000007E000000FE000000FC000000FC000000FC007801FC007001F
1881 8007001F800F001F800E003F801E003F001C003F003C003F0038003F0070001F00F0001F
1882 01E0000F03C0000F87800007FE000001F800001B3F78BD20>I<007C0000000001FF0000
1883 070003C780001F800703C0001F800F03E0001F800E03E0003F801C03E0003F801C07E000
1884 3F003807E0003F003807E0007F007807E0007F00700FE0007E00700FC0007E00701FC000
1885 FE00F01F8000FE00E01F8000FC00003F8000FC00003F0001FC00003F0001FC00007F0001
1886 F800007E0001F800007E0003F80000FE0003F80000FC0003F00000FC0003F00000FC0007
1887 F00001FC0007F00001F80007E00001F80007E00001F8000FE03803F8000FE07803F0000F
1888 C07003F0000FC07003F0000FC07003F0001FC0F003F0001F80E003F0003F80E001F0003F
1889 81E001F0007F81C001F800EF83C000F801EF8380007C03C78780003E0F07C700001FFE01
1890 FE000003F00078002D2D78AB34>I<007C00003801FF0000FC03C78001FE0703C001FE0F
1891 03E001FE0E03E001FE1C03E000FE1C07E0007E3807E0007E3807E0003E7807E0003E700F
1892 E0001E700FC0001E701FC0001EF01F80001CE01F80001C003F80001C003F00003C003F00
1893 0038007F000038007E000038007E00007800FE00007000FC00007000FC00007000FC0000
1894 F001FC0000E001F80000E001F80001E001F80001C001F80001C003F000038003F0000380
1895 03F000070003F000070003F0000E0001F0000E0001F0001C0001F800380000F800780000
1896 FC00F000007C01E000003F078000000FFF00000003F80000272D78AB2D>I<007C000000
1897 00038001FF00000E000FC003C780003F001FE00703C0003F001FE00E03E0003F001FE00E
1898 03E0007F001FE01C03E0007E000FE01C07E0007E0007E03807E0007E0007E03807E000FE
1899 0003E07807E000FC0003E0700FE000FC0003E0700FC000FC0001E0701FC001FC0001E0F0
1900 1F8001F80001C0E01F8001F80001C0003F8001F80001C0003F0003F80003C0003F0003F0
1901 000380007F0003F0000380007E0003F0000380007E0007F000078000FE0007F000070000
1902 FC0007E000070000FC0007E000070000FC000FE0000F0001FC000FE0000E0001F8000FC0
1903 000E0001F8000FC0000E0001F8000FC0001C0001F8000FC0001C0003F0001F80001C0003
1904 F0001F8000380003F0001F8000380003F0001F8000700001F0001F8000700001F0003F80
1905 00E00001F8003F8000E00001F8007FC001C00000F800F7C003C00000FC00E7E007800000
1906 7E01C3E00F0000001F0781F81E0000000FFF007FF800000001FC000FE000003B2D78AB41
1907 >I<0000F8003F000007FE00FFE0000F0F83C0F0001C07C780F8003803CF03F8007003EE
1908 03F800E003FC07F801E003FC07F801C003F807F803C003F807F0038003F801C0078003F0
1909 0000070003F00000070007F000000F0007E000000E0007E00000000007E0000000000FE0
1910 000000000FC0000000000FC0000000000FC0000000001FC0000000001F80000000001F80
1911 000000001F80000000003F80000000003F00000000003F00000000003F00000000007F00
1912 03C000007F00038000007E00038000007E0003800000FE0007001E00FE0007003F00FE00
1913 0F007F81FC000E007F81FE001C00FF83FE003C00FF03BE007800FE079E00F0007C0F1F01
1914 E0003C1E0F83C0001FF803FF000007E000FC00002D2D7CAB2D>I<007C0000000001FF00
1915 00070003C780001F800703C0001F800F03E0001F800E03E0003F801C03E0003F001C07E0
1916 003F003807E0003F003807E0007F007807E0007E00700FE0007E00700FC0007E00701FC0
1917 00FE00F01F8000FC00E01F8000FC00003F8000FC00003F0001FC00003F0001F800007F00
1918 01F800007E0001F800007E0003F80000FE0003F00000FC0003F00000FC0003F00000FC00
1919 07F00001FC0007E00001F80007E00001F80007E00001F8000FE00003F8000FC00003F000
1920 0FC00003F0000FC00003F0001FC00003F0001F800003F0001F800003F0003F800001F000
1921 3F800001F0007F000001F800FF000000F801FF0000007C03FF0000003E0F7E0000001FFE
1922 7E00000003F07E0000000000FE0000000000FC0000000000FC0000000001FC0000000001
1923 F800001F0001F800007F8003F000007F8003F000007F8007E00000FF000FC00000FF000F
1924 800000FE001F800000F0003F00000070007E0000007800F80000003801F00000001E07C0
1925 0000000FFF0000000001FC00000000294078AB2F>I E /Fj 75 123
1926 df<000003FC00000000001FFF0000000000FE07C000000003F001F000000007E000F800
1927 00001FC000FC000E003F80007C000E007F00003E000C00FE00003F000C01FC00003F001C
1928 03F800001F001807F800001F801807F000001F80380FF000001F80301FE000001F80701F
1929 E000001FC0603FC000001FC0603FC000001FC0E03FC000000FC0C07F8000000FC1C07F80
1930 00000FC1807F8000000FC380FF8000000FC700FF0000000FC600FF0000000FCE00FF0000
1931 000FDC00FF0000001FD800FE0000001FF800FE0000001FF000FE0000001FE000FE000000
1932 1FC000FE0000001FC000FE0000001FC000FE0000001FC000FE0000001FC0007E0000003F
1933 C0007E0000007FC0003F000000EFC0383F000003CFC0381F80000F07C0300FC0001C07C0
1934 7007E000F803E0E001F00FE001E1C0007FFF0000FF80001FF000003E00372D7CAB3E>11
1935 D<0000000003F800000000001FFF00000000007C0F8000000001E003E0000000078001F0
1936 0000000E0001F00000001C0000F8000000380000F8000000700000FC000000E00000FC00
1937 0001C00000FC000001800000FC000003800000FC000007000000FC000006000000FC0000
1938 0E000001FC00000C000001FC00001C000001F8000018000001F8000038000003F0000030
1939 000003F0000070000007E0000060000007E000006000000FC00000E000000F800000C000
1940 001F000000C000003E000001C007FE7C000001801FFFF8000001801807E0000001801FFF
1941 F80000038007FCFC0000030000007E0000030000007E0000030000003F0000070000003F
1942 0000060000003F8000060000001F8000060000001FC0000E0000001FC0000C0000001FC0
1943 000C0000001FC0000C0000003FC0001C0000003FC000180000003FC000180000003FC000
1944 180000003FC000380000007FC000300000007F8000300000007F8000300000007F800070
1945 000000FF800070000000FF000070000000FF000070000001FE0000F0000001FE0000F000
1946 0001FC0000F0000003FC0000F0000003F80001F0000007F80001B8000007F00001980000
1947 0FE000019800001FC000039C00003F8000030E00007F000003060000FE000003078001F8
1948 00000701C003F000000600F01FC0000006003FFF00000006000FF00000000E0000000000
1949 000C0000000000000C0000000000000C0000000000001C00000000000018000000000000
1950 180000000000001800000000000038000000000000300000000000003000000000000030
1951 00000000000070000000000000600000000000006000000000000060000000000000E000
1952 0000000000E000000000000036597DC537>I<0001FC000000000007FF000000E0001FFF
1953 C00000E0007FFFE00001C000FFFFF000018001FFFFF800038003FE07F800030007F000FC
1954 00070007C0007C0006000F00003E000E001E00001E000C001C00000F000C003C00000700
1955 1C0038000007001800700000030038007000000380300060000001807000600000018060
1956 00E000000180E00000000001C0C00000000000C0C00000000000C1C00000000000C18000
1957 00000000C3800000000000C3000000000000E3000000000000E700000000000066000000
1958 0000006E0000000000006C0000000000006C0000000000007C0000000000007800000000
1959 0000780000000000007800000000000070000000000000F0000000000000E00000000000
1960 00E0000000000000E0000000000000C0000000000000C0000000000000C0000000000001
1961 C0000000000001C000000000000180000000000003800000000000038000000000000380
1962 0000000000038000000000000700000000000007000000000000070000000000000F0000
1963 000000000E0000000000000E0000000000000E0000000000000E0000000000001C000000
1964 0000001C0000000000001C0000000000001C000000000000380000000000003800000000
1965 00003800000033417EAB33>I<0000007800000007FFE000001FFFFC00003C7FFE000070
1966 07FE00006003FE0000E000FE0000C000380000C000000000C000000000E000000000E000
1967 000000E000000000F000000000F000000000F8000000007C000000007C000000007E0000
1968 00003E000000003F000000003F800000001FC00000001FC00000000FE00000000FF00000
1969 0007F000000007F80000003FFC000000FFFC000003E1FE000007C1FE00001F00FF00003E
1970 00FF00007C007F8000F8007F8001F8003F8003F0003F8007E0003FC007C0001FC00FC000
1971 1FC01F80001FC01F80001FC03F00001FC03F00000FC07F00000FC07E00000FC07E00000F
1972 C07E00000FC0FE00001F80FC00001F80FC00001F80FC00001F80FC00001F00F800001F00
1973 F800003F00F800003F00F800003E00F800007E00F800007C00F800007C00FC0000F8007C
1974 0000F8007C0001F0003E0003E0003E0003E0001F0007C0000F800F800007C01F000003E0
1975 7C000000FFF00000001FC0000027487CC62B>I<000007FE00007FFF0001FFFE0007F800
1976 001FE000003F8000007F000000FE000001FC000003F8000007F800000FF000000FE00000
1977 1FE000003FE000003FC000003FC000007FFFFFC07FFFFFE07FFFFFE07F800000FF800000
1978 FF000000FF000000FF000000FF000000FF000000FF000000FE000000FE0000007E000000
1979 7F0000007F0000003F0000003F0000003F8000001F8000000FC0000007C0000C03E0003C
1980 01F000F000FC07C0003FFF000007F800202C7CAA27>I<00F80003FC0003FE001FFF0007
1981 1F007C0FC00E0F80E007E01C0FC3C003E01807C70003F01807CE0001F03807DC0001F830
1982 07D80001F8300FF80001F8700FF00001F8600FE00001F8600FE00001F8E00FC00003F8C0
1983 1FC00003F0C01F800003F0001F800003F0001F800007F0003F800007F0003F000007E000
1984 3F000007E0003F00000FE0007F00000FE0007E00000FC0007E00000FC0007E00001FC000
1985 FE00001FC000FC00001F8000FC00001F8000FC00003F8001FC00003F8001F800003F0001
1986 F800003F0001F800007F0003F800007F0003F000007E0003F000007E0003F00000FE0007
1987 F00000FE0007E00000FC0007E00000FC0007E00001FC000FE00001FC000FC00001F80003
1988 800001F80000000003F80000000003F80000000003F00000000003F00000000007F00000
1989 000007F00000000007E00000000007E0000000000FE0000000000FE0000000000FC00000
1990 00000FC0000000001FC0000000001FC0000000001F80000000001F80000000003F800000
1991 00003F80000000003F00000000000E00002D417DAB30>17 D<0000007E00000001FF8000
1992 0007C3E000001F01F000003E00F000007C00F80000FC00F80001F8007C0003F0007C0003
1993 E0007C0007E0007E000FC0007E001FC0007E001F80007E003F80007E007F00007F007F00
1994 007F00FE00007F00FE00007F01FE00007F01FC00007F03FC00007F03F80000FF07F80000
1995 FF07F80000FF07F00000FF0FF00000FE0FF00001FE0FF00001FE1FE00001FE1FE00001FE
1996 1FE00003FE3FE00003FC3FC00003FC3FFFFFFFFC3FFFFFFFFC7FFFFFFFF87F800007F87F
1997 800007F87F80000FF8FF80000FF0FF00000FF0FF00000FF0FF00001FE0FF00001FE0FE00
1998 001FE0FE00003FC0FE00003FC0FE00003F80FE00007F80FE00007F00FC00007F00FC0000
1999 FE00FC0000FE00FC0001FC00FC0001FC00FC0001F800FC0003F800FC0003F000FC0007E0
2000 007C000FC0007C000FC0007C001F80007E003F00003E003E00003E007C00001E00F80000
2001 0F01F000000783C0000003FF00000000FC00000028477CC52D>I<000E00000000001F00
2002 0003E0003F00001FF8003F00007FF8003F0000E7F8007F0003C7F8007F000707F0007E00
2003 0E07F0007E001C03C000FE0078000000FE00E0000000FC01C0000000FC0380000001FC07
2004 00000001FC1E00000001F83800000001F87000000003F9E000000003FF8000000003FFF8
2005 00000003FFFFC0000007F07FF0000007F003FC000007E000FF000007E0003F80000FE000
2006 1FC0000FE0001FC0000FC0000FC0000FC0000FC0001FC0000FC0071FC0000FC0061F8000
2007 0FC0061F80000FC0063F80000FC00E3F80000FC00C3F00000F800C3F00000F801C7F0000
2008 0F80187F00000F80387E00000F80307E000007C070FE000007C0E0FE000003E1C0FC0000
2009 00FF80380000003E00302D7BAB38>20 D<0007C00000000007F80000000000FE00000000
2010 007F00000000003F80000000001FC0000000001FC0000000001FC0000000000FE0000000
2011 000FE0000000000FE00000000007F00000000007F00000000007F00000000003F8000000
2012 0003F80000000003F80000000001FC0000000001FC0000000001FC0000000000FE000000
2013 0000FE0000000000FE00000000007F00000000007F00000000007F00000000003F800000
2014 00003F80000000003F80000000001FC0000000001FC0000000001FC0000000000FE00000
2015 00000FE0000000000FE00000000007F00000000007F00000000007F0000000000FF80000
2016 00001FF8000000003BF80000000071FC00000000F1FC00000001E1FC00000003C0FE0000
2017 000780FE0000000F00FE0000001E007F0000003E007F0000007C007F000000F8003F8000
2018 01F0003F800003E0003F800007C0001FC0000FC0001FC0001F80001FC0003F00000FC000
2019 7E00000FE000FC00000FE001F8000007E003F8000007F007F0000007F00FE0000003F01F
2020 C0000003F83F80000003F87F00000001FCFF00000001FCFE00000001FEFC00000000FE78
2021 000000007E2F467BC439>I<000070000000000000F800000E000001F800003F000001F8
2022 00003F000001F800003F000003F800007F000003F800007F000003F000007E000003F000
2023 007E000007F00000FE000007F00000FE000007E00000FC000007E00000FC00000FE00001
2024 FC00000FE00001FC00000FC00001F800000FC00001F800001FC00003F800001FC00003F8
2025 00001F800003F000001F800003F000003F800007F000003F800007F000003F000007E000
2026 003F000007E000007F00000FE000007F00000FE000007E00000FC000007E00000FC00000
2027 FE00001FC01800FE00001FC03800FC00001F803000FC00001F803001FC00003F807001FC
2028 00003F806001FC00007F006001FC0000FF006003FE0000FF00E003FE0001DF00C003FE00
2029 039F01C003FF00071F018007FF801E0F838007F7C07807870007E1FFE003FE0007E07F80
2030 00F8000FE000000000000FE000000000000FC000000000000FC000000000001FC0000000
2031 00001FC000000000001F8000000000001F8000000000003F8000000000003F8000000000
2032 003F0000000000003F0000000000007F0000000000007F0000000000007E000000000000
2033 7E000000000000FE000000000000FE000000000000FC0000000000003800000000000035
2034 417DAB3B>I<003F800000701FFF800000F83FFF800001F83FFF000001F8007F000001F8
2035 007F000003F8007F000003F0007E000003F0007E000007F000FE000007E000FE000007E0
2036 00FC00000FC000FC00000FC001FC00001FC001FC00001F8001F800003F8001F800003F00
2037 03F800007E0003F800007E0003F00000FC0003F00001F80007F00001F80007F00003F000
2038 07E00007E00007E00007C0000FE0000FC0000FE0001F80000FC0003F00000FC0007E0000
2039 1FC000FC00001FC001F800001F8003F000001F8007C000003F800F8000003F801F000000
2040 3F003C0000003F00F80000007F01E00000007F07C00000007E1F000000007EFC00000000
2041 FFE000000000FF8000000000F800000000002D2C7BAB30>I<000FFFFFFFFFE0003FFFFF
2042 FFFFF0007FFFFFFFFFF001FFFFFFFFFFE003FFFFFFFFFFC007E0060030000007800E0030
2043 00000F000E003000001E000C007000003C000C0070000038001C0060000070001C006000
2044 0060001800E00000E0003800E0000040003800E0000000003800E0000000007000E00000
2045 00007001C0000000007001C000000000F001C000000000E001C000000001E001C0000000
2046 01E003C000000001C003C000000003C003C000000003C003C000000003C003C000000007
2047 8003C0000000078003E00000000F8003E00000000F8003E00000001F0003E00000001F00
2048 03E00000001F0003E00000003F0003F00000003E0003F00000007E0003F00000007E0003
2049 F0000000FC0003F8000000FC0003F8000001FC0001F8000001F80001F8000001F80001F8
2050 000000F00000E00000342C7EAA37>25 D<00000007F0000000001FFE000000007C1F0000
2051 0001F00FC0000007C007E000000F8003E000001F0003F000003E0001F800007E0001F800
2052 00FC0001F80000F80001FC0001F80001FC0003F00001FC0003F00001FC0007E00001FC00
2053 07E00001FC000FC00001FC000FC00003FC001FC00003FC001F800003FC001F800003FC00
2054 1F800007FC003F800007F8003F000007F8003F000007F8007F00000FF8007F00000FF000
2055 7E00000FF0007E00000FE000FE00001FE000FE00001FC000FC00003FC000FC00003F8001
2056 FC00007F8001FC00007F0001FC0000FE0001FC0000FC0003FE0001F80003FE0003F00003
2057 F70007E00003F3800FC00007F1C01F000007F0E07E000007E07FF8000007E01FC000000F
2058 E0000000000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F
2059 80000000001F80000000003F80000000003F80000000003F00000000003F00000000007F
2060 00000000007F00000000007E00000000007E0000000000FE0000000000FE0000000000FC
2061 00000000003800000000002E417DAB32>I<000003FFFFFFE000001FFFFFFFF00000FFFF
2062 FFFFF00001FFFFFFFFE00007FFFFFFFFC0000FF80FF80000001FC003F80000003F8001FC
2063 0000007E0000FC000000FC00007E000001F800007E000003F000003E000007F000003F00
2064 0007E000003F00000FC000003F00000FC000003F00001F8000003F00001F8000003F0000
2065 3F8000003F00003F0000003F00003F0000007F00007F0000007E00007E0000007E00007E
2066 0000007E00007E000000FE0000FE000000FC0000FC000000FC0000FC000001FC0000FC00
2067 0001F80000FC000001F80000FC000003F000007C000003E000007C000007E000007C0000
2068 0FC000007C00000F8000003E00001F0000003E00003E0000001F00007C0000001F0000F8
2069 0000000F8003F000000007C007C000000001F03F00000000007FFC00000000001FE00000
2070 0000342C7DAA37>I<000FFFFFFFFC003FFFFFFFFE007FFFFFFFFE01FFFFFFFFFC03FFFF
2071 FFFFF807E001C000000780018000000F00038000001E00038000001C0003800000380003
2072 800000700007000000600007000000E0000700000040000F00000000000F00000000000E
2073 00000000001E00000000001E00000000001E00000000001E00000000003C00000000003C
2074 00000000003C00000000007C00000000007C0000000000780000000000F80000000000F8
2075 0000000000F80000000000F80000000001F00000000001F00000000001F00000000003F0
2076 0000000003F00000000003E00000000007E00000000007E00000000007E0000000000FE0
2077 000000000FE0000000000FC00000000007800000002F2C7EAA2A>I<000000001C000000
2078 0000001C0000000000001800000000000018000000000000380000000000003800000000
2079 000030000000000000300000000000007000000000000070000000000000600000000000
2080 0060000000000000E0000000000000E0000000000000C0000000000000C0000000000001
2081 C0000000000001C000000000000180000000000001800000000000038000000000000380
2082 00000000000300000000000003000000000000070000000000007FE00000000007FFFE00
2083 0000001FC63F80000000FE0E07C0000001F80E03F0000007E00C00F800001FC00C00FC00
2084 003F001C007E00007E001C003F0000FC0018003F0001F80018001F8003F80038001F8007
2085 F00038001F800FE00030001FC00FE00030001FC01FC00070001FC01FC00070001FC03F80
2086 0060001FC03F800060001FC07F0000E0001FC07F0000E0001FC07F0000C0003FC0FF0000
2087 C0003F80FE0001C0003F80FE0001C0003F80FE000180007F80FE000180007F00FE000380
2088 007F00FC00038000FE00FC00030000FE00FC00030001FC00FE00070003F800FE00070003
2089 F8007E00060007F0007E0006000FE0003F000E001FC0003F000E003F80001F800C007F00
2090 000F800C00FC000007C01C01F8000003E01C07E0000001F8181F800000007E18FE000000
2091 001FFFF80000000001FF8000000000003000000000000030000000000000700000000000
2092 00700000000000006000000000000060000000000000E0000000000000E0000000000000
2093 C0000000000000C0000000000001C0000000000001C00000000000018000000000000180
2094 000000000003800000000000038000000000000300000000000003000000000000030000
2095 00000032597BC43A>30 D<007E000000000001FF8000000006078FE00000000E0607F000
2096 00001C0E03F8000000380C03FC000000701C01FC000000E00001FE000000C00000FE0000
2097 01C00000FF0000038000007F0000070000007F00000E0000003F80001C0000003F800038
2098 0000003F8000700000001FC000600000001FC000E00000001FC001C00000000FE0038000
2099 00000FE0070000000007E00E0000000007F01C0000000007F0380000000007F030000000
2100 0003F8700000000003F8E00000000003F9C00000000001FF800000000001FF0000000000
2101 01FE000000000000FC000000000000FE000000000000FE0000000000007E000000000000
2102 FF000000000001FF000000000003FF0000000000073F80000000000E3F80000000001C3F
2103 8000000000181FC000000000381FC000000000701FC000000000E00FC000000001C00FE0
2104 00000003800FE0000000070007F00000000E0007F00000000C0007F00000001C0003F800
2105 0000380003F8000000700003F8000000E00001FC000001C00001FC000003800001FE0000
2106 07000000FE000006000000FF00000E0000007F00701C0000007F8060380000003F80E070
2107 0000001FC0C0E00000000FE3C0C000000003FF000000000000FC0037407DAB3D>I<0000
2108 000000300000000000000030000000000000003000000000000000700000000000000060
2109 0000000000000060000000000000006000000000000000E000000000000000C000000000
2110 000000C000000000000000C000000000000001C000000000000001800000000000000180
2111 000000000000018000000000000003800000000000000300000000000000030000000000
2112 000003000000000000000700000000000000060000000000000006000000000000000600
2113 0000000000000E000000000000000C000000003E00000C00070000FF80000C001F8003C3
2114 C0001C003FC00703E00018003FC00601F00018007FC00E01F00018003FC01C01F0003800
2115 3FC01803F00030001FC03803F00030000FC03003F000300007C07003F000700007C06007
2116 F000600003C06007E000600003C06007E000600003C0E00FE000E0000380C00FC000C000
2117 0180001FC000C0000180001F8000C0000380001F8001C0000300003F800180000300003F
2118 000180000300003F000180000700007F000380000600007E000300000600007E00030000
2119 0E00007E000300000C0000FE000700001C0000FC00060000180000FC00060000380000FC
2120 00060000700000FC000E0000600000FC000C0000E00000FC000C0001C00000FC000C0003
2121 800000FC001C0007000000FC0018000E0000007E0018001C0000007E001800380000003F
2122 003800700000001F803000E00000000FC03003C000000007F0300F0000000001FE707C00
2123 000000003FFFF0000000000003FF800000000000006000000000000000E0000000000000
2124 00C000000000000000C000000000000000C000000000000001C000000000000001800000
2125 000000000180000000000000018000000000000003800000000000000300000000000000
2126 030000000000000003000000000000000700000000000000060000000000000006000000
2127 0000000006000000000000000E000000000000000C00000000003A597DC43F>I<000000
2128 0000000E000018000000003F000038000000007F800070000000007F80006000000000FF
2129 8000E0000000007F8001C0000000007F800180000000003F800380000000001F80030000
2130 0000001F800700000000000F800600000000000F800E000000000007800C000000000007
2131 800C000000000007001C000006000007001800000F000007001800000F00000700380000
2132 1E000006003000001E000006003000001E000006003000001E00000E007000003C00000C
2133 006000003C00000C006000003C00001C006000003C000018006000003800003800600000
2134 7800003800E000007000007000E000007000007000E00000F00000E000F00001F00001E0
2135 00F00001F00003C000F00003F00003C000780007F80007800078000FF8001F80007C001F
2136 7C003F00007E007E7E007E00007F83FE7F03FC00003FFFFC3FFFF800003FFFF83FFFF000
2137 001FFFF01FFFE000000FFFC01FFFC0000007FF0007FF00000001FC0001F8000000392D7F
2138 AB3D>I<00000000007F000030000003FFC0007000000FFFE000E000001FFFF001C00000
2139 3FFFF8038000007F01F803000000F8007C07000001F0003C06000003E0001C0E000003C0
2140 001E0C00000780000E1C00000700000E1800000E00000E1800000C00000E3800001C0000
2141 0630000018000006300000300000063000003000000E7000006000000C6000006000000C
2142 6000004000000C600000C000001CE00000C0000018E0000180000018C0000180000038E0
2143 000180000030E0000300000070E00003000000E0600003000000E0700007000001C07000
2144 07000003807800060000078038000600000F003C000E00001E001E000E00007C001F800E
2145 0000F8000FC01C0003F00007F01C000FE00003FE1C003FC00001FFFC03FF0000007FFFFF
2146 FE0000003FFFFFF80000000FFFFFE000000001FFFF80000000007FF80000000000F80000
2147 00000000F8000000000000F0000000000000F0000000000001F0000000000001F0000000
2148 000001F0000000000003E0000000000003E0000000000003E0000000000007E000000000
2149 0007E0000000000007C000000000000FC000000000000FC000000000000FC00000000000
2150 0FC000000000001FC000000000001F8000000000000F000000000037417BAB40>39
2151 D<1E007F807F80FFC0FFC0FFC0FFC07F807F801E000A0A78891B>58
2152 D<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60006000600060006000E000C000C000
2153 C001C0018003800300070006000E001C003800700060000B1D78891B>I<000000000000
2154 01C000000000000007E00000000000001FE00000000000007FC0000000000001FF000000
2155 00000007FC0000000000001FF00000000000007FC0000000000001FF0000000000000FFC
2156 0000000000003FF0000000000000FFC0000000000003FF0000000000000FF80000000000
2157 003FE0000000000000FF80000000000003FE0000000000001FF80000000000007FE00000
2158 00000001FF80000000000007FE0000000000001FF00000000000007FC0000000000001FF
2159 00000000000007FC0000000000001FF00000000000007FC0000000000000FF0000000000
2160 0000FF000000000000007FC00000000000001FF000000000000007FC00000000000001FF
2161 000000000000007FC00000000000001FF000000000000007FE00000000000001FF800000
2162 000000007FE00000000000001FF800000000000003FE00000000000000FF800000000000
2163 003FE00000000000000FF800000000000003FF00000000000000FFC00000000000003FF0
2164 0000000000000FFC00000000000001FF000000000000007FC00000000000001FF0000000
2165 00000007FC00000000000001FF000000000000007FC00000000000001FE0000000000000
2166 07E000000000000001C03B3878B44C>I<0000000018000000003C000000007C00000000
2167 7C000000007800000000F800000000F800000000F000000001F000000001F000000001E0
2168 00000003E000000003E000000003C000000007C000000007C000000007800000000F8000
2169 00000F800000001F000000001F000000001E000000003E000000003E000000003C000000
2170 007C000000007C000000007800000000F800000000F800000000F000000001F000000001
2171 F000000003E000000003E000000003C000000007C000000007C000000007800000000F80
2172 0000000F800000000F000000001F000000001F000000001E000000003E000000003E0000
2173 00003C000000007C000000007C00000000F800000000F800000000F000000001F0000000
2174 01F000000001E000000003E000000003E000000003C000000007C000000007C000000007
2175 800000000F800000000F800000000F000000001F000000001F000000003E000000003E00
2176 0000003C000000007C000000007C000000007800000000F800000000F800000000F00000
2177 0001F000000001F000000001E000000003E000000003E000000007C000000007C0000000
2178 07800000000F800000000F800000000F000000001F000000001F000000001E000000003E
2179 000000003E000000003C000000007C000000007C000000007800000000F800000000F800
2180 000000F000000000600000000026647BCA31>I<7000000000000000FC00000000000000
2181 FF000000000000007FC00000000000001FF000000000000007FC00000000000001FF0000
2182 00000000007FC00000000000001FF000000000000007FE00000000000001FF8000000000
2183 00007FE00000000000001FF800000000000003FE00000000000000FF800000000000003F
2184 E00000000000000FF800000000000003FF00000000000000FFC00000000000003FF00000
2185 000000000FFC00000000000001FF000000000000007FC00000000000001FF00000000000
2186 0007FC00000000000001FF000000000000007FC00000000000001FE00000000000001FE0
2187 0000000000007FC0000000000001FF00000000000007FC0000000000001FF00000000000
2188 007FC0000000000001FF0000000000000FFC0000000000003FF0000000000000FFC00000
2189 00000003FF0000000000000FF80000000000003FE0000000000000FF80000000000003FE
2190 0000000000001FF80000000000007FE0000000000001FF80000000000007FE0000000000
2191 001FF00000000000007FC0000000000001FF00000000000007FC0000000000001FF00000
2192 000000007FC0000000000000FF00000000000000FC000000000000007000000000000000
2193 3B3878B44C>I<000000000000300000000000000000700000000000000000F000000000
2194 00000000F00000000000000001F00000000000000003F00000000000000003F000000000
2195 00000007F80000000000000007F8000000000000000FF8000000000000001FF800000000
2196 0000001FF80000000000000037F80000000000000037F80000000000000067F800000000
2197 000000E7F800000000000000C7F80000000000000187FC0000000000000187FC00000000
2198 00000307FC0000000000000703FC0000000000000603FC0000000000000C03FC00000000
2199 00000C03FC0000000000001803FC0000000000003803FC0000000000003003FC00000000
2200 00006003FE0000000000006003FE000000000000C003FE000000000001C001FE00000000
2201 00018001FE0000000000030001FE0000000000030001FE0000000000060001FE00000000
2202 000E0001FE00000000000C0001FE0000000000180001FE0000000000180001FF00000000
2203 00300001FF0000000000700000FF0000000000600000FF0000000000C00000FF00000000
2204 00C00000FF0000000001800000FF0000000003FFFFFFFF0000000003FFFFFFFF00000000
2205 07FFFFFFFF0000000006000000FF800000000C000000FF800000001C0000007F80000000
2206 180000007F80000000300000007F80000000300000007F80000000600000007F80000000
2207 E00000007F80000000C00000007F80000001800000007F80000001800000007FC0000003
2208 000000007FC0000007000000003FC0000006000000003FC000000E000000003FC000001C
2209 000000003FC000003C000000003FC000007C000000003FC00000FE000000007FE00007FF
2210 00000001FFE0007FFFF000007FFFFFC0FFFFF000007FFFFFC0FFFFE000007FFFFFC04247
2211 7DC649>65 D<0000FFFFFFFFFF80000000FFFFFFFFFFF0000000FFFFFFFFFFFC00000000
2212 FFC00003FF000000007F800000FF80000000FF8000003FC0000000FF8000003FE0000000
2213 FF0000001FE0000000FF0000000FF0000000FF0000000FF0000001FF0000000FF8000001
2214 FE00000007F8000001FE00000007F8000001FE00000007F8000003FE00000007F8000003
2215 FC00000007F8000003FC0000000FF8000003FC0000000FF8000007FC0000000FF0000007
2216 F80000001FF0000007F80000001FE0000007F80000003FE000000FF80000003FC000000F
2217 F00000007F8000000FF0000000FF0000000FF0000001FE0000001FF0000003FC0000001F
2218 E0000007F80000001FE000001FF00000001FE000003FC00000003FE00001FF000000003F
2219 C0001FFC000000003FFFFFFFF0000000003FFFFFFFFE000000007FC000007F800000007F
2220 8000001FC00000007F8000000FF00000007F80000007F8000000FF80000003FC000000FF
2221 00000003FC000000FF00000001FE000000FF00000001FE000001FF00000001FF000001FE
2222 00000001FF000001FE00000001FF000001FE00000001FF000003FE00000001FF000003FC
2223 00000001FF000003FC00000001FF000003FC00000001FF000007FC00000001FE000007F8
2224 00000003FE000007F800000003FE000007F800000007FC00000FF800000007FC00000FF0
2225 0000000FF800000FF00000001FF000000FF00000001FF000001FF00000003FE000001FE0
2226 0000007FC000001FE0000001FF8000003FE0000003FE0000003FE000000FFC0000003FC0
2227 00003FF8000000FFC00001FFE00000FFFFFFFFFFFF800000FFFFFFFFFFFC000000FFFFFF
2228 FFFFC000000045447CC34A>I<0000000001FF800018000000003FFFF0003800000001FF
2229 FFFC003800000007FF007E00780000001FF0000F80F00000007F800003C1F0000001FE00
2230 0001C3F0000003FC000000E7F000000FF00000007FE000001FE00000003FE000003FC000
2231 00003FE00000FF000000001FE00001FE000000001FC00003FC000000000FC00007F80000
2232 00000FC0000FF8000000000FC0000FF0000000000F80001FE0000000000780003FC00000
2233 00000780007FC000000000078000FF8000000000070000FF0000000000070001FF000000
2234 0000070003FE0000000000070003FE0000000000060007FC0000000000060007FC000000
2235 000006000FF8000000000006000FF8000000000000001FF8000000000000001FF0000000
2236 000000001FF0000000000000003FF0000000000000003FE0000000000000003FE0000000
2237 000000003FE0000000000000007FE0000000000000007FC0000000000000007FC0000000
2238 000000007FC0000000000000007FC000000000000000FF8000000000000000FF80000000
2239 00000000FF8000000000000000FF8000000000000000FF800000000000C000FF80000000
2240 0000C000FF800000000001C000FF80000000000180007F80000000000180007F80000000
2241 000380007F80000000000300007F80000000000700007F80000000000600003FC0000000
2242 000E00003FC0000000001C00003FC0000000001800001FC0000000003800001FE0000000
2243 007000000FE000000000E000000FF000000001C0000007F80000000380000003F8000000
2244 0700000001FC0000000E00000000FE0000003C000000007F00000078000000003FC00001
2245 E0000000001FF0000FC00000000007FE007F000000000001FFFFFC0000000000003FFFE0
2246 00000000000007FF000000000045487CC546>I<0000FFFFFFFFFF8000000000FFFFFFFF
2247 FFF000000000FFFFFFFFFFFC0000000000FFC00007FF00000000007F8000007FC0000000
2248 00FF8000001FE000000000FF8000000FF000000000FF00000007F800000000FF00000003
2249 FC00000000FF00000001FC00000001FF00000000FE00000001FE00000000FE00000001FE
2250 000000007F00000001FE000000007F00000003FE000000003F80000003FC000000003F80
2251 000003FC000000003F80000003FC000000003FC0000007FC000000003FC0000007F80000
2252 00003FC0000007F8000000003FC0000007F8000000003FC000000FF8000000003FC00000
2253 0FF0000000003FE000000FF0000000003FE000000FF0000000003FE000001FF000000000
2254 3FE000001FE0000000003FC000001FE0000000003FC000001FE0000000003FC000003FE0
2255 000000003FC000003FC0000000007FC000003FC0000000007FC000003FC0000000007FC0
2256 00007FC0000000007F8000007F8000000000FF8000007F8000000000FF8000007F800000
2257 0000FF800000FF8000000000FF000000FF0000000001FF000000FF0000000001FE000000
2258 FF0000000001FE000001FF0000000003FE000001FE0000000003FC000001FE0000000007
2259 FC000001FE0000000007F8000003FE000000000FF0000003FC000000000FF0000003FC00
2260 0000001FE0000003FC000000001FC0000007FC000000003FC0000007F8000000003F8000
2261 0007F8000000007F00000007F800000000FE0000000FF800000001FC0000000FF0000000
2262 03FC0000000FF000000007F80000000FF00000000FE00000001FF00000001FC00000001F
2263 E00000003F800000001FE0000000FF000000003FE0000001FC000000003FE000000FF800
2264 0000003FC000003FE000000000FFC00003FF80000000FFFFFFFFFFFE00000000FFFFFFFF
2265 FFF000000000FFFFFFFFFF00000000004B447CC351>I<0000FFFFFFFFFFFFFC0000FFFF
2266 FFFFFFFFFC0000FFFFFFFFFFFFFC000000FFC000003FFC0000007F80000003F8000000FF
2267 80000001F8000000FF80000000F8000000FF0000000078000000FF0000000078000000FF
2268 0000000038000001FF0000000038000001FE0000000038000001FE0000000038000001FE
2269 0000000038000003FE0000000030000003FC0000000030000003FC0000000030000003FC
2270 0000000030000007FC0000000030000007F80000600030000007F80000600030000007F8
2271 0000E0003000000FF80000C0000000000FF00000C0000000000FF00000C0000000000FF0
2272 0001C0000000001FF0000180000000001FE0000380000000001FE0000780000000001FE0
2273 000F80000000003FE0007F00000000003FFFFFFF00000000003FFFFFFF00000000003FFF
2274 FFFF00000000007FC0007E00000000007F80001E00000000007F80001E00000000007F80
2275 000E0000000000FF80000C0000000000FF00000C0000000000FF00000C0000000000FF00
2276 001C0000000001FF0000180003000001FE0000180003000001FE0000180007000001FE00
2277 00180006000003FE0000000006000003FC000000000E000003FC000000000C000003FC00
2278 0000001C000007FC0000000018000007F80000000038000007F80000000030000007F800
2279 0000007000000FF8000000007000000FF000000000E000000FF000000001E000000FF000
2280 000001C000001FF000000003C000001FE000000007C000001FE00000000F8000003FE000
2281 00003F8000003FE00000007F0000003FC0000003FF000000FFC000003FFE0000FFFFFFFF
2282 FFFFFE0000FFFFFFFFFFFFFE0000FFFFFFFFFFFFFC000046447CC348>I<0000FFFFFFFF
2283 FFFFF80000FFFFFFFFFFFFF80000FFFFFFFFFFFFF8000000FFC000003FF80000007F8000
2284 0007F0000000FF80000003F0000000FF80000001F0000000FF00000000F0000000FF0000
2285 0000F0000000FF0000000070000001FF0000000070000001FE0000000070000001FE0000
2286 000070000001FE0000000070000003FE0000000060000003FC0000000060000003FC0000
2287 000060000003FC0000000060000007FC0000000060000007F80000000060000007F80000
2288 C00060000007F80001C0006000000FF8000180000000000FF0000180000000000FF00001
2289 80000000000FF0000380000000001FF0000300000000001FE0000700000000001FE00007
2290 00000000001FE0000F00000000003FE0001E00000000003FC000FE00000000003FFFFFFE
2291 00000000003FFFFFFE00000000007FFFFFFC00000000007F8000FC00000000007F80003C
2292 00000000007F80003C0000000000FF8000180000000000FF0000180000000000FF000018
2293 0000000000FF0000380000000001FF0000300000000001FE0000300000000001FE000030
2294 0000000001FE0000700000000003FE0000600000000003FC0000000000000003FC000000
2295 0000000003FC0000000000000007FC0000000000000007F80000000000000007F8000000
2296 0000000007F8000000000000000FF8000000000000000FF0000000000000000FF0000000
2297 000000000FF0000000000000001FF0000000000000001FE0000000000000001FE0000000
2298 000000003FE0000000000000003FE0000000000000003FE000000000000000FFE0000000
2299 000000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF8000000000045447CC33F>
2300 I<0000000001FF800018000000003FFFF0003800000001FFFFFC003800000007FF007E00
2301 780000001FF0000F80F00000007F800003C1F0000001FE000001C3F0000003FC000000E7
2302 F000000FF00000007FE000001FE00000003FE000003FC00000003FE00000FF000000001F
2303 E00001FE000000001FC00003FC000000000FC00007F8000000000FC0000FF8000000000F
2304 C0000FF0000000000F80001FE0000000000780003FC0000000000780007FC00000000007
2305 8000FF8000000000070000FF0000000000070001FF0000000000070003FE000000000007
2306 0003FE0000000000060007FC0000000000060007FC000000000006000FF8000000000006
2307 000FF8000000000000001FF8000000000000001FF0000000000000001FF0000000000000
2308 003FF0000000000000003FE0000000000000003FE0000000000000003FE0000000000000
2309 007FE0000000000000007FC0000000000000007FC0000000000000007FC0000000000000
2310 007FC000000000000000FF8000000000000000FF80000001FFFFFF80FF80000003FFFFFF
2311 80FF80000003FFFFFF80FF8000000000FFE000FF80000000007FC000FF80000000007FC0
2312 00FF80000000007FC0007F80000000007F80007F80000000007F80007F8000000000FF80
2313 007F8000000000FF00007F8000000000FF00003FC000000000FF00003FC000000001FF00
2314 003FC000000001FE00001FE000000001FE00001FE000000001FE00000FE000000003FE00
2315 000FF000000003FC000007F800000007FC000003F80000000FFC000001FC0000001FFC00
2316 0000FE0000003DF80000007F80000078F80000003FC00001E0F80000001FF00007C07800
2317 000007FE007F007000000001FFFFFC0030000000003FFFF000000000000007FF00000000
2318 0045487CC54D>I<0000FFFFFFE003FFFFFF800000FFFFFFE003FFFFFF800000FFFFFFE0
2319 03FFFFFF80000000FFE0000003FF80000000007F80000001FE0000000000FF80000003FE
2320 0000000000FF80000003FE0000000000FF00000003FC0000000000FF00000003FC000000
2321 0000FF00000007FC0000000001FF00000007FC0000000001FE00000007F80000000001FE
2322 00000007F80000000001FE0000000FF80000000003FE0000000FF80000000003FC000000
2323 0FF00000000003FC0000000FF00000000003FC0000001FF00000000007FC0000001FF000
2324 00000007F80000001FE00000000007F80000001FE00000000007F80000003FE000000000
2325 0FF80000003FE0000000000FF00000003FC0000000000FF00000003FC0000000000FF000
2326 00007FC0000000001FF00000007FC0000000001FE00000007F80000000001FE00000007F
2327 80000000001FE0000000FF80000000003FE0000000FF80000000003FFFFFFFFFFF000000
2328 00003FFFFFFFFFFF00000000003FFFFFFFFFFF00000000007FC0000001FF00000000007F
2329 80000001FE00000000007F80000001FE00000000007F80000003FE0000000000FF800000
2330 03FE0000000000FF00000003FC0000000000FF00000003FC0000000000FF00000007FC00
2331 00000001FF00000007FC0000000001FE00000007F80000000001FE00000007F800000000
2332 01FE0000000FF80000000003FE0000000FF80000000003FC0000000FF00000000003FC00
2333 00000FF00000000003FC0000001FF00000000007FC0000001FF00000000007F80000001F
2334 E00000000007F80000001FE00000000007F80000003FE0000000000FF80000003FE00000
2335 00000FF00000003FC0000000000FF00000003FC0000000000FF00000007FC0000000001F
2336 F00000007FC0000000001FE00000007F80000000001FE00000007F80000000003FE00000
2337 00FF80000000003FE0000000FF80000000003FC0000000FF0000000000FFE0000003FF80
2338 000000FFFFFFE003FFFFFF800000FFFFFFE003FFFFFF800000FFFFFFE003FFFFFF800000
2339 51447CC351>I<00007FFFFFF800007FFFFFF800007FFFFFF00000007FF0000000003FC0
2340 000000007FC0000000007FC0000000007F80000000007F80000000007F8000000000FF80
2341 00000000FF0000000000FF0000000000FF0000000001FF0000000001FE0000000001FE00
2342 00000001FE0000000003FE0000000003FC0000000003FC0000000003FC0000000007FC00
2343 00000007F80000000007F80000000007F8000000000FF8000000000FF0000000000FF000
2344 0000000FF0000000001FF0000000001FE0000000001FE0000000001FE0000000003FE000
2345 0000003FC0000000003FC0000000003FC0000000007FC0000000007F80000000007F8000
2346 0000007F8000000000FF8000000000FF0000000000FF0000000000FF0000000001FF0000
2347 000001FE0000000001FE0000000001FE0000000003FE0000000003FC0000000003FC0000
2348 000003FC0000000007FC0000000007F80000000007F80000000007F8000000000FF80000
2349 00000FF0000000000FF0000000001FF0000000001FF0000000001FE0000000007FF00000
2350 007FFFFFF00000FFFFFFF00000FFFFFFF000002D447DC32B>I<0000001FFFFFFC000000
2351 3FFFFFFC0000003FFFFFF8000000000FFE000000000007FC000000000007FC0000000000
2352 07FC000000000007F8000000000007F800000000000FF800000000000FF800000000000F
2353 F000000000000FF000000000001FF000000000001FF000000000001FE000000000001FE0
2354 00000000003FE000000000003FE000000000003FC000000000003FC000000000007FC000
2355 000000007FC000000000007F8000000000007F800000000000FF800000000000FF800000
2356 000000FF000000000000FF000000000001FF000000000001FF000000000001FE00000000
2357 0001FE000000000003FE000000000003FE000000000003FC000000000003FC0000000000
2358 07FC000000000007FC000000000007F8000000000007F800000000000FF800000000000F
2359 F800000000000FF000000000000FF000000000001FF000000000001FF000000000001FE0
2360 00000000001FE000000000003FE000000000003FE000000000003FC000000F80003FC000
2361 003FE0007FC000003FE0007F8000007FE0007F8000007FE0007F8000007FE000FF000000
2362 FFC000FF000000FFC001FE000000FF0001FE0000006C0003FC000000600007F800000070
2363 000FF000000030001FE000000038003F800000001C007F000000000F81FC0000000003FF
2364 F000000000007F8000000000364679C336>I<0000FFFFFFE00001FFFFC00000FFFFFFE0
2365 0001FFFFC00000FFFFFFE00001FFFFC0000000FFE00000003FF8000000007F800000001F
2366 E000000000FF800000001F0000000000FF800000003E0000000000FF0000000078000000
2367 0000FF00000000F00000000000FF00000001C00000000001FF00000003800000000001FE
2368 00000007000000000001FE0000001C000000000001FE00000038000000000003FE000000
2369 70000000000003FC000000E0000000000003FC00000380000000000003FC000007000000
2370 00000007FC00000E00000000000007F800003800000000000007F8000070000000000000
2371 07F80000E00000000000000FF80001C00000000000000FF00007000000000000000FF000
2372 0E000000000000000FF0001C000000000000001FF00078000000000000001FE000F80000
2373 00000000001FE001FC000000000000001FE003FC000000000000003FE00FFC0000000000
2374 00003FC01FFE000000000000003FC03BFE000000000000003FC0E1FF000000000000007F
2375 C1C1FF000000000000007F8380FF800000000000007F8700FF800000000000007F9C00FF
2376 80000000000000FFB8007FC0000000000000FF70007FC0000000000000FFC0003FE00000
2377 00000000FF80003FE0000000000001FF00003FE0000000000001FE00001FF00000000000
2378 01FE00001FF0000000000001FE00000FF8000000000003FE00000FF8000000000003FC00
2379 000FFC000000000003FC000007FC000000000003FC000007FC000000000007FC000003FE
2380 000000000007F8000003FE000000000007F8000001FF000000000007F8000001FF000000
2381 00000FF8000001FF00000000000FF0000000FF80000000000FF0000000FF80000000000F
2382 F00000007FC0000000001FF00000007FC0000000001FE00000007FC0000000001FE00000
2383 003FE0000000003FE00000003FE0000000003FE00000003FF0000000003FC00000003FF8
2384 00000000FFE00000007FFC000000FFFFFFE0000FFFFFE00000FFFFFFE0001FFFFFE00000
2385 FFFFFFE0001FFFFFE0000052447CC353>I<0000FFFFFFF800000000FFFFFFF800000000
2386 FFFFFFF80000000000FFE00000000000007FC0000000000000FF80000000000000FF8000
2387 0000000000FF00000000000000FF00000000000000FF00000000000001FF000000000000
2388 01FE00000000000001FE00000000000001FE00000000000003FE00000000000003FC0000
2389 0000000003FC00000000000003FC00000000000007FC00000000000007F8000000000000
2390 07F800000000000007F80000000000000FF80000000000000FF00000000000000FF00000
2391 000000000FF00000000000001FF00000000000001FE00000000000001FE0000000000000
2392 1FE00000000000003FE00000000000003FC00000000000003FC00000000000003FC00000
2393 000000007FC00000000000007F800000000000007F800000000000007F80000000000000
2394 FF80000000000000FF00000000000000FF00000000000000FF00000000000001FF000000
2395 00000001FE00000000C00001FE00000000C00001FE00000001C00003FE00000001800003
2396 FC00000003800003FC00000003000003FC00000003000007FC00000007000007F8000000
2397 06000007F80000000E000007F80000001E00000FF80000001C00000FF00000003C00000F
2398 F00000003800000FF00000007800001FF0000000F800001FE0000001F000001FE0000003
2399 F000003FE000000FF000003FE000001FE000003FC00000FFE00000FFC00007FFC000FFFF
2400 FFFFFFFFC000FFFFFFFFFFFFC000FFFFFFFFFFFF80003A447CC342>I<0000FFFFC00000
2401 000003FFFE0000FFFFC00000000007FFFE0000FFFFC0000000000FFFFE000000FFC00000
2402 00000FFE000000006FE0000000001BF800000000EFE0000000001FF800000000EFE00000
2403 000037F800000000CFE00000000067F000000000CFE00000000067F000000000CFE00000
2404 0000CFF000000001CFE0000000018FF0000000018FE0000000018FE00000000187F00000
2405 00030FE00000000187F0000000031FE00000000387F0000000061FE00000000307F00000
2406 000C1FC00000000307F00000000C1FC00000000307F0000000183FC00000000707F00000
2407 00303FC00000000607F0000000303F800000000603F8000000603F800000000603F80000
2408 00607F800000000E03F8000000C07F800000000C03F8000001807F000000000C03F80000
2409 01807F000000000C03F800000300FF000000001C03F800000600FF000000001803F80000
2410 0600FE000000001801FC00000C00FE000000001801FC00000C01FE000000003801FC0000
2411 1801FE000000003001FC00003001FC000000003001FC00003001FC000000003001FC0000
2412 6003FC000000007001FC0000C003FC000000006001FC0000C003F8000000006000FE0001
2413 8003F8000000006000FE00018007F800000000E000FE00030007F800000000C000FE0006
2414 0007F000000000C000FE00060007F000000000C000FE000C000FF000000001C000FE0018
2415 000FF0000000018000FE0018000FE00000000180007F0030000FE00000000180007F0030
2416 001FE00000000380007F0060001FE00000000300007F00C0001FC00000000300007F00C0
2417 001FC00000000300007F0180003FC00000000700007F0300003FC00000000600007F0300
2418 003F800000000600003F8600003F800000000600003F8600007F800000000E00003F8C00
2419 007F800000000C00003F9800007F000000000C00003F9800007F000000000C00003FB000
2420 00FF000000001C00003FE00000FF000000001800003FE00000FE000000003800001FC000
2421 00FE000000003800001FC00001FE000000007800001F800001FE00000000FC00001F0000
2422 01FC00000003FF00001F000007FE000000FFFFF8001E0007FFFFFE0000FFFFF8001C0007
2423 FFFFFE0000FFFFF8000C0007FFFFFE00005F447BC35E>I<0000FFFFC000000FFFFF8000
2424 00FFFFE000000FFFFF800000FFFFE000000FFFFF800000007FE00000007FE0000000007F
2425 F00000001F80000000007FF00000000F0000000000EFF80000000E0000000000CFF80000
2426 000E0000000000C7F80000000C0000000000C7FC0000001C0000000001C7FC0000001C00
2427 0000000183FE00000018000000000183FE00000018000000000181FF0000003800000000
2428 0381FF00000038000000000300FF00000030000000000300FF80000030000000000300FF
2429 800000700000000007007FC00000700000000006007FC00000600000000006003FC00000
2430 600000000006003FE00000E0000000000E003FE00000E0000000000C001FF00000C00000
2431 00000C001FF00000C0000000000C000FF80001C0000000001C000FF80001C00000000018
2432 0007F800018000000000180007FC00018000000000180007FC00038000000000380003FE
2433 00038000000000300003FE00030000000000300001FE00030000000000300001FF000700
2434 00000000700001FF00070000000000600000FF80060000000000600000FF800600000000
2435 006000007FC00E0000000000E000007FC00E0000000000C000003FC00C0000000000C000
2436 003FE00C0000000000C000003FE01C0000000001C000001FF01C00000000018000001FF0
2437 1800000000018000000FF01800000000018000000FF83800000000038000000FF8380000
2438 00000300000007FC30000000000300000007FC30000000000300000003FE700000000007
2439 00000003FE70000000000600000001FE60000000000600000001FF600000000006000000
2440 01FFE0000000000E00000000FFE0000000000C00000000FFC0000000000C000000007FC0
2441 000000000C000000007FC0000000001C000000007FC00000000018000000003F80000000
2442 0038000000003F800000000038000000001F800000000078000000001F8000000000FC00
2443 0000000F0000000003FF000000000F00000000FFFFF80000000F00000000FFFFF8000000
2444 0700000000FFFFF8000000060000000051447CC34E>I<0000000003FF00000000000000
2445 7FFFF0000000000001FC01FC00000000000FE0007F00000000003F00001FC000000000FE
2446 000007E000000001F8000003F000000007F0000001F80000000FC0000000FC0000001F80
2447 000000FE0000007F000000007E000000FE000000007F000001FC000000003F000003F800
2448 0000003F800007F0000000003F80000FF0000000001FC0000FE0000000001FC0001FC000
2449 0000001FC0003F80000000001FE0007F80000000001FE0007F00000000001FE000FF0000
2450 0000001FE001FE00000000000FE001FE00000000001FF003FC00000000001FF003FC0000
2451 0000001FF007F800000000001FF007F800000000001FF00FF800000000001FF00FF00000
2452 0000001FF01FF000000000001FE01FF000000000001FE01FE000000000003FE03FE00000
2453 0000003FE03FE000000000003FE03FE000000000003FE07FC000000000007FC07FC00000
2454 0000007FC07FC000000000007FC07FC00000000000FF807FC00000000000FF80FF800000
2455 000000FF80FF800000000001FF00FF800000000001FF00FF800000000001FF00FF800000
2456 000003FE00FF800000000003FE00FF800000000007FC00FF800000000007F800FF800000
2457 00000FF8007F80000000000FF0007F80000000001FF0007F80000000001FE0007F800000
2458 00003FC0007F80000000007F80003FC0000000007F80003FC000000000FF00003FC00000
2459 0001FE00001FC000000003FC00001FE000000007F800000FE000000007F0000007F00000
2460 000FE0000007F00000003F80000003F80000007F00000001FC000000FE00000000FE0000
2461 01F8000000007F000007F0000000003F80001FC0000000000FE0007F000000000003F803
2462 FC000000000000FFFFE00000000000000FFE000000000044487CC54B>I<0000FFFFFFFF
2463 FE00000000FFFFFFFFFFE0000000FFFFFFFFFFF800000000FFC0000FFE000000007F8000
2464 01FF00000000FF8000007F80000000FF8000003FC0000000FF0000001FE0000000FF0000
2465 001FE0000001FF0000000FF0000001FF0000000FF0000001FE0000000FF0000001FE0000
2466 000FF8000003FE0000000FF8000003FE0000000FF8000003FC0000000FF8000003FC0000
2467 000FF8000007FC0000000FF8000007FC0000001FF0000007F80000001FF0000007F80000
2468 001FF000000FF80000003FE000000FF80000003FE000000FF00000003FC000000FF00000
2469 007FC000001FF00000007F8000001FF0000000FF0000001FE0000001FE0000001FE00000
2470 03FC0000003FE0000007F80000003FE000000FF00000003FC000003FC00000003FC00000
2471 FF000000007FC00007FC000000007FFFFFFFF0000000007FFFFFFF80000000007F800000
2472 0000000000FF8000000000000000FF8000000000000000FF0000000000000000FF000000
2473 0000000001FF0000000000000001FF0000000000000001FE0000000000000001FE000000
2474 0000000003FE0000000000000003FE0000000000000003FC0000000000000003FC000000
2475 0000000007FC0000000000000007FC0000000000000007F80000000000000007F8000000
2476 000000000FF8000000000000000FF8000000000000000FF0000000000000000FF0000000
2477 000000001FF0000000000000001FF0000000000000001FE0000000000000001FE0000000
2478 000000003FE0000000000000003FE0000000000000003FC000000000000000FFE0000000
2479 000000FFFFFFE00000000000FFFFFFE00000000000FFFFFFE0000000000045447CC33F>
2480 I<0000000003FF000000000000007FFFF0000000000001FC01FC00000000000FE0007F00
2481 000000003F80001FC000000000FE00000FE000000001F8000003F000000007F0000003F8
2482 0000000FE0000001FC0000001F80000000FE0000007F00000000FE000000FE000000007F
2483 000001FC000000007F000003F8000000003F800007F8000000003F80000FF0000000003F
2484 C0000FE0000000001FC0001FC0000000001FC0003FC0000000001FE0007F80000000001F
2485 E0007F80000000001FE000FF00000000001FE001FE00000000001FE001FE00000000001F
2486 F003FE00000000001FF003FC00000000001FF007FC00000000001FF007F800000000001F
2487 F00FF800000000001FF00FF000000000001FF01FF000000000001FE01FF000000000003F
2488 E01FE000000000003FE03FE000000000003FE03FE000000000003FE03FE000000000003F
2489 E07FC000000000007FC07FC000000000007FC07FC000000000007FC07FC000000000007F
2490 807FC00000000000FF80FF800000000000FF80FF800000000000FF00FF800000000001FF
2491 00FF800000000001FF00FF800000000003FE00FF800000000003FE00FF800000000003FC
2492 00FF800000000007F800FF800000000007F8007F80000000000FF0007F80000000000FF0
2493 007F80000000001FE0007F80000000003FC0007F80000000003F80003F80001F00007F80
2494 003FC000FFC000FF00003FC001E0E001FE00001FC003807001FC00001FC007003003F800
2495 000FE006003807F0000007E00E00180FE0000007F00C00181F80000003F80C00183F0000
2496 0001F81C001CFE00000000FC18001DF8000000007E18001FF0000000003F9C001FC00000
2497 00000FEC007F000000000003FE03FC000060000000FFFFFC0000600000000FFE1C0000E0
2498 00000000001E0000C000000000001E0001C000000000001E0001C000000000001E000380
2499 00000000003F00078000000000003F000F8000000000003F803F0000000000003FC0FF00
2500 00000000003FFFFE0000000000001FFFFC0000000000001FFFFC0000000000001FFFF800
2501 00000000001FFFF00000000000000FFFE00000000000000FFFC000000000000003FF0000
2502 000000000000FC00000044597CC54D>I<0000FFFFFFFFF000000000FFFFFFFFFF000000
2503 00FFFFFFFFFFE000000000FFC0003FF8000000007F800007FC00000000FF800001FE0000
2504 0000FF8000007F00000000FF0000003F80000000FF0000003FC0000000FF0000001FE000
2505 0001FF0000001FE0000001FE0000001FE0000001FE0000001FF0000001FE0000001FF000
2506 0003FE0000001FF0000003FC0000001FF0000003FC0000001FF0000003FC0000001FF000
2507 0007FC0000003FE0000007F80000003FE0000007F80000003FE0000007F80000007FC000
2508 000FF80000007F8000000FF0000000FF8000000FF0000000FF0000000FF0000001FE0000
2509 001FF0000003FC0000001FE0000007F80000001FE000000FE00000001FE000001FC00000
2510 003FE000007F000000003FC00003FC000000003FC0001FF0000000003FFFFFFF80000000
2511 007FFFFFFE00000000007F80007F80000000007F80000FC0000000007F800007F0000000
2512 00FF800003F800000000FF000003FC00000000FF000001FC00000000FF000001FE000000
2513 01FF000001FE00000001FE000000FE00000001FE000000FE00000001FE000001FE000000
2514 03FE000001FE00000003FC000001FE00000003FC000001FE00000003FC000003FE000000
2515 07FC000003FE00000007F8000003FE00000007F8000003FE00000007F8000007FC000000
2516 0FF8000007FC0000000FF0000007FC0000000FF0000007FC0000000FF0000007FC000000
2517 1FF0000007FC0018001FE0000007FC0018001FE0000007FC0018003FE0000007F8003800
2518 3FE0000007F80030003FC0000007FC007000FFE0000003FC00E0FFFFFFE00003FC01C0FF
2519 FFFFE00001FC0380FFFFFFE00000FE0F000000000000003FFE0000000000000007F00045
2520 467CC34A>I<00000000FF80018000000007FFF003800000003FFFFC0380000000FF007E
2521 0780000001F8000F0F80000007E000079F0000000FC00003FF0000001F000001FF000000
2522 3E000000FF0000007C000000FE0000007C0000007E000000F80000007E000001F0000000
2523 7E000001F00000003C000003E00000003C000003E00000003C000007E00000003C000007
2524 C000000038000007C000000038000007C00000003800000FC00000003800000FC0000000
2525 3000000FE00000003000000FE00000003000000FE00000000000000FF000000000000007
2526 F800000000000007FC00000000000007FF00000000000003FFE0000000000003FFFC0000
2527 00000001FFFFC00000000000FFFFFC00000000007FFFFF00000000003FFFFFC000000000
2528 0FFFFFE00000000003FFFFF800000000003FFFF8000000000007FFFC0000000000007FFE
2529 0000000000000FFE00000000000003FE00000000000001FF00000000000000FF00000000
2530 0000007F000000000000007F000000000000003F000000000000003F000006000000003F
2531 000006000000003F000006000000003F000006000000003F00000E000000003E00000E00
2532 0000003E00000C000000003E00000C000000007E00001E000000007C00001E000000007C
2533 00001E00000000F800001E00000000F000003F00000001F000003F00000003E000003F80
2534 000007C000003F8000000F8000007FC000001F0000007FE000003E0000007CF800007C00
2535 0000787E0001F8000000F01FC00FE0000000E007FFFF80000000E001FFFE00000000C000
2536 3FF00000000039487BC53C>I<01FFFFFFFFFFFFFFC003FFFFFFFFFFFFFFC003FFFFFFFF
2537 FFFFFFC003FF0000FF8000FF8007F00000FF00001F8007E00001FF00000F8007800001FF
2538 000007800F000001FE000007800F000001FE000003800E000001FE000003801C000003FE
2539 000003001C000003FC0000030018000003FC0000030038000003FC0000030030000007FC
2540 0000030030000007F80000070070000007F80000060060000007F800000600E000000FF8
2541 00000600C000000FF000000600C000000FF000000600C000000FF0000006000000001FF0
2542 000000000000001FE0000000000000001FE0000000000000001FE0000000000000003FE0
2543 000000000000003FC0000000000000003FC0000000000000003FC0000000000000007FC0
2544 000000000000007F80000000000000007F80000000000000007F8000000000000000FF80
2545 00000000000000FF0000000000000000FF0000000000000000FF0000000000000001FF00
2546 00000000000001FE0000000000000001FE0000000000000001FE0000000000000003FE00
2547 00000000000003FC0000000000000003FC0000000000000003FC0000000000000007FC00
2548 00000000000007F80000000000000007F80000000000000007F8000000000000000FF800
2549 0000000000000FF0000000000000000FF0000000000000000FF0000000000000001FF000
2550 0000000000001FE0000000000000001FE0000000000000001FE0000000000000003FE000
2551 0000000000003FC0000000000000003FC0000000000000007FC0000000000000007FC000
2552 000000000000FFC000000000000003FFE000000000001FFFFFFFFC000000001FFFFFFFFC
2553 000000001FFFFFFFF80000000042447EC339>I<7FFFFF8000001FFFF8FFFFFF8000003F
2554 FFF8FFFFFF8000003FFFF801FFE000000003FF0000FF8000000001FC0000FF8000000000
2555 F00000FF8000000000E00000FF8000000001C00000FF8000000001C000007F8000000003
2556 8000007F80000000030000007F80000000060000007F80000000060000007F800000000C
2557 0000007FC0000000180000007FC0000000180000003FC0000000300000003FC000000070
2558 0000003FC0000000600000003FC0000000C00000003FC0000000C00000003FC000000180
2559 0000003FE0000003000000003FE0000003000000001FE0000006000000001FE000000E00
2560 0000001FE000000C000000001FE0000018000000001FE0000018000000001FF000003000
2561 0000001FF0000060000000001FF0000060000000000FF00000C0000000000FF00001C000
2562 0000000FF0000180000000000FF0000300000000000FF0000300000000000FF800060000
2563 0000000FF8000C00000000000FF8000C000000000007F80018000000000007F800300000
2564 00000007F80030000000000007F80060000000000007F800E0000000000007FC00C00000
2565 00000007FC0180000000000003FC0180000000000003FC0300000000000003FC06000000
2566 00000003FC0600000000000003FC0C00000000000003FC1C00000000000003FE18000000
2567 00000003FE3000000000000001FE3000000000000001FE6000000000000001FEC0000000
2568 00000001FEC000000000000001FF8000000000000001FF8000000000000001FF00000000
2569 00000001FE0000000000000000FE0000000000000000FC0000000000000000F800000000
2570 00000000F80000000000000000F00000000000000000F00000000000000000E000000000
2571 000045467BC339>86 D<FFFFFF8003FFFFFC0007FFFFFFFFFF8007FFFFFC0007FFFFFFFF
2572 FF0007FFFFF80007FFFF03FFC000001FFE0000007FE001FF0000000FF80000003F8001FF
2573 0000000FF80000001F0001FF0000000FF80000001E0001FF0000000FF80000001C0001FF
2574 00000007F80000001C0000FF00000007F8000000180000FF00000007F8000000300000FF
2575 0000000FF8000000700000FF0000000FF8000000600000FF0000001FF8000000C00000FF
2576 0000001FF8000000C00000FF00000037F8000001800000FF00000037F8000001800000FF
2577 00000067F8000003000000FF000000E7F8000003000000FF000000C7F8000006000000FF
2578 00000187F800000E000000FF00000187FC00000C000000FF80000307FC000018000000FF
2579 80000307FC0000180000007F80000603FC0000300000007F80000603FC0000300000007F
2580 80000C03FC0000600000007F80001C03FC0000E00000007F80001803FC0000C00000007F
2581 80003003FC0001800000007F80003003FC0001800000007F80006003FC0003000000007F
2582 80006003FC0003000000007F8000C003FC0006000000007F8001C003FC0006000000007F
2583 80018003FC000C000000007F80030003FC0018000000007F80030003FE0018000000007F
2584 C0060003FE0030000000007FC0060001FE0030000000003FC00C0001FE0060000000003F
2585 C00C0001FE0060000000003FC0180001FE00C0000000003FC0300001FE01C0000000003F
2586 C0300001FE0180000000003FC0600001FE0300000000003FC0600001FE0300000000003F
2587 C0C00001FE0600000000003FC0C00001FE0600000000003FC1800001FE0C00000000003F
2588 C3800001FE1C00000000003FC3000001FE1800000000003FC6000001FF3000000000003F
2589 E6000001FF3000000000003FEC000001FF6000000000003FEC000000FF6000000000001F
2590 F8000000FFC000000000001FF8000000FFC000000000001FF0000000FF8000000000001F
2591 E0000000FF0000000000001FE0000000FF0000000000001FC0000000FE0000000000001F
2592 C0000000FE0000000000001F80000000FC0000000000001F80000000FC0000000000001F
2593 00000000F80000000000001F00000000F80000000000001E00000000F00000000000001C
2594 00000000E00000000000000C0000000060000000000060467BC35C>I<00003FFFFFE000
2595 1FFFFF00003FFFFFE0001FFFFF00003FFFFFE0001FFFFF0000007FFE000003FFE0000000
2596 3FF8000001FE000000001FF0000000FC000000001FF0000000F0000000000FF8000001E0
2597 000000000FF8000001C00000000007FC000003800000000007FC000006000000000007FC
2598 00000E000000000003FE00001C000000000003FE000038000000000001FF000070000000
2599 000001FF0000E0000000000001FF8001C0000000000000FF800180000000000000FF8003
2600 000000000000007FC006000000000000007FC00C000000000000003FE018000000000000
2601 003FE030000000000000003FE060000000000000001FF0C0000000000000001FF1C00000
2602 00000000000FFB80000000000000000FFF00000000000000000FFE000000000000000007
2603 FC000000000000000007FC000000000000000003FE000000000000000003FE0000000000
2604 00000003FE000000000000000001FF000000000000000003FF000000000000000006FF80
2605 000000000000000CFF80000000000000001C7FC000000000000000387FC0000000000000
2606 00707FC000000000000000E03FE000000000000001C03FE000000000000003801FF00000
2607 0000000003001FF000000000000006001FF00000000000000C000FF80000000000001800
2608 0FF8000000000000300007FC000000000000600007FC000000000000C00007FC00000000
2609 0001800003FE000000000003800003FE000000000007000001FF00000000000E000001FF
2610 00000000001C000001FF000000000038000000FF800000000030000000FF8000000000E0
2611 0000007FC000000001C00000007FC000000003C00000003FE000000007800000003FE000
2612 00001F800000003FE00000003FC00000007FF0000003FFE0000001FFF800007FFFFC0000
2613 1FFFFFF000FFFFFC00001FFFFFF000FFFFFC00001FFFFFF00050447EC351>I<FFFFFF80
2614 00001FFFFCFFFFFF8000001FFFFCFFFFFF8000001FFFF801FFE000000003FF8000FFC000
2615 000001FC0000FF8000000001F000007FC000000001E000007FC000000003C000007FC000
2616 0000038000003FE0000000070000003FE00000000E0000003FE00000001C0000001FF000
2617 0000180000001FF0000000300000001FF8000000600000000FF8000000C00000000FF800
2618 00018000000007FC0000038000000007FC0000070000000007FC0000060000000003FE00
2619 000C0000000003FE0000180000000003FE0000300000000001FF0000600000000001FF00
2620 00E00000000001FF0001C00000000000FF8001800000000000FF8003000000000000FFC0
2621 060000000000007FC00C0000000000007FC0180000000000007FE0380000000000003FE0
2622 700000000000003FE0600000000000001FF0C00000000000001FF1800000000000001FF3
2623 000000000000000FFE000000000000000FFE000000000000000FFC0000000000000007F8
2624 0000000000000007F0000000000000000FF0000000000000000FF0000000000000000FF0
2625 000000000000000FE0000000000000001FE0000000000000001FE0000000000000001FE0
2626 000000000000001FC0000000000000003FC0000000000000003FC0000000000000003FC0
2627 000000000000003F80000000000000007F80000000000000007F80000000000000007F80
2628 000000000000007F0000000000000000FF0000000000000000FF0000000000000000FF00
2629 00000000000001FE0000000000000001FE0000000000000001FE0000000000000007FF00
2630 000000000007FFFFFF000000000007FFFFFF000000000007FFFFFE000000000046447CC3
2631 39>I<00000FFFFFFFFFFFC000001FFFFFFFFFFFC000001FFFFFFFFFFF8000001FFF8000
2632 01FF0000001FF8000001FF0000003FE0000003FE0000003F80000007FC0000003F000000
2633 0FF80000007E0000001FF00000007C0000003FE0000000780000007FC0000000F0000000
2634 FF80000000F0000000FF80000000E0000001FF00000000C0000003FE00000001C0000007
2635 FC00000001C000000FF8000000018000001FF0000000038000003FE0000000030000007F
2636 C000000003000000FF8000000003000000FF8000000000000001FF0000000000000003FE
2637 0000000000000007FC000000000000000FF8000000000000001FF0000000000000003FE0
2638 000000000000007FC000000000000000FF8000000000000000FF8000000000000001FF00
2639 00000000000003FE0000000000000007FC000000000000000FF8000000000000001FF000
2640 0000000000003FE0000000000000007FC0000000000000007FC000000000000000FF8000
2641 000000000001FF0000000000000003FE0000000000000007FC000006000000000FF80000
2642 06000000001FF0000006000000003FE000000E000000007FC000000C000000007FC00000
2643 0C00000000FF8000001C00000001FF0000001800000003FE0000003800000007FC000000
2644 380000000FF8000000700000001FF0000000700000003FE0000000F00000007FC0000000
2645 E00000007FC0000001E0000000FF80000003E0000001FF00000007C0000003FE0000000F
2646 C0000007FC0000001FC000000FF80000003F8000001FF0000000FF8000003FE0000003FF
2647 8000003FE000003FFF0000007FFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFFFFFFFE
2648 00000042447BC343>I<00000003C00000000FF00000003E380000007818000000F81C00
2649 0000F00C000001E00C000003E00C000003C00C000007C00C00000F800C00000F801C0000
2650 1F001800001F001800003E001800003E003800007C003000007C00300000FC00300000F8
2651 00700001F800600001F800E00001F000C00003F001C00003F001800007E003800007E003
2652 000007E00700000FE00600000FC00E00000FC01C00000FC01800001FC03800001F807000
2653 001F806000001F80E000003F81C000003F038000003F070000003F060000007F0E000000
2654 7E1C0000007E380000007E700000007EE00000007FC00000007F800000007F00000000FE
2655 00000000FE00000000FC00000000FC00000000FC00000000F800000001F800000003F800
2656 000007780000000E780000001C78000000387C000000707C000000E07C000060003C0001
2657 E0003C000380003C000700001E000E00001E003C00000F007000000783E0000003FF8000
2658 0000FC000026477FC529>96 D<00000FC0000000007FF000000001F8381C000007E01C7E
2659 00000FC00E7E00003F0007FE00007F0003FC0000FE0003FC0001FC0003FC0001F80001FC
2660 0003F80001F80007F00001F8000FF00001F8000FE00003F8001FE00003F0001FE00003F0
2661 003FC00003F0003FC00007F0007FC00007E0007F800007E0007F800007E0007F80000FE0
2662 00FF80000FC000FF00000FC000FF00000FC000FF00001FC000FF00001F8000FE00001F80
2663 00FE00001F8000FE00003F8030FE00003F0070FE00003F0060FE00003F0060FE00007F00
2664 E0FE00007F00C0FE0000FE00C07E0001FE00C07E0003FE01C03E00073E01803F000E3E03
2665 801F001C3E03000F80381F070007C0F00F0E0001FFC007FC00007F0001F0002C2D7CAB33
2666 >I<000FE0000007FFE0000007FFE0000007FFE00000001FC00000000FC00000001FC000
2667 00001FC00000001F800000001F800000001F800000003F800000003F000000003F000000
2668 003F000000007F000000007E000000007E000000007E00000000FE00000000FC00000000
2669 FC00000000FC00000001FC00000001F800000001F80FC00001F83FF00003F8F07C0003F3
2670 C03E0003F7001F0003FE001F8007FC000F8007F8000FC007F0000FC007F0000FE00FE000
2671 0FE00FC0000FE00FC0000FE00FC0000FE01FC0000FE01F80000FE01F80000FE01F80001F
2672 E03F80001FE03F00001FE03F00001FE03F00003FE07F00003FC07E00003FC07E00003FC0
2673 7E00007FC07E00007F80FC00007F80FC00007F00FC0000FF00FC0000FF00FC0001FE007C
2674 0001FC007C0001FC007C0003F8007C0007F0007C0007E0003C000FE0003E001FC0001E00
2675 3F80001F007E00000F00FC000007C1F0000001FFC00000007F00000023467CC429>I<00
2676 0007F80000003FFF000000FC07C00003F000E00007E00070001F800030003F000070007E
2677 0003F800FE0007F801FC0007F803F8000FF007F8000FF007F0000FF00FF00007C01FE000
2678 00001FE00000003FC00000003FC00000007FC00000007F800000007F800000007F800000
2679 00FF80000000FF00000000FF00000000FF00000000FF00000000FE00000000FE00000000
2680 FE00000000FE00000000FE00000000FE00000018FE00000038FE000000707E000000E07E
2681 000001C03F000003803F000007001F80001E000F8000380007C001F00003F00FC00000FF
2682 FE0000001FF00000252D7CAB2A>I<0000000001FC00000000FFFC00000000FFFC000000
2683 00FFFC0000000003F80000000001F80000000003F80000000003F80000000003F0000000
2684 0003F00000000007F00000000007F00000000007E00000000007E0000000000FE0000000
2685 000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000
2686 001F80000000003F80000000003F80000000003F0000000FC03F0000007FF07F000001F8
2687 387F000007E01C7E00000FC00E7E00003F0007FE00007F0003FE0000FE0003FC0001FC00
2688 03FC0001F80001FC0003F80001FC0007F00001F8000FF00001F8000FE00003F8001FE000
2689 03F8001FE00003F0003FC00003F0003FC00007F0007FC00007F0007F800007E0007F8000
2690 07E0007F80000FE000FF80000FE000FF00000FC000FF00000FC000FF00001FC000FF0000
2691 1FC000FE00001F8000FE00001F8000FE00003F8030FE00003F8070FE00003F0060FE0000
2692 3F0060FE00007F00E0FE00007F00C0FE0000FE00C07E0001FE00C07E0003FE01C03E0007
2693 3E01803F000E3E03801F001C3E03000F80381F070007C0F00F0E0001FFC007FC00007F00
2694 01F0002E467CC433>I<000007F80000003FFE000001FC07800003F003C0000FC001E000
2695 1F8000E0007F0000E000FE00007001FC00007003F80000F007F80000E007F00000E00FF0
2696 0001E01FE00001C01FE00003C03FC00007803FC0001F003FC000FC007FC01FF0007FFFFF
2697 80007FFFF000007F80000000FF80000000FF00000000FF00000000FF00000000FF000000
2698 00FF00000000FE00000000FE00000000FE00000000FE00000000FE000000187E00000038
2699 7E000000707F000000E03F000001C03F000003801F000007000F80001E000FC000380007
2700 E001F00001F00FC000007FFE0000001FF00000252D7CAB2D>I<0000000007E000000000
2701 1FF8000000007C1C00000000F80E00000001F03E00000003E07F00000003E0FF00000007
2702 E1FF00000007C1FF00000007C1FE0000000FC0FC0000000FC0780000000FC0000000001F
2703 80000000001F80000000001F80000000001F80000000003F80000000003F00000000003F
2704 00000000003F00000000003F00000000007F00000000007E00000000007E00000000007E
2705 00000000007E00000000FFFFFF800000FFFFFF800000FFFFFF80000000FC0000000000FC
2706 0000000000FC0000000001FC0000000001F80000000001F80000000001F80000000001F8
2707 0000000003F80000000003F00000000003F00000000003F00000000003F00000000007F0
2708 0000000007E00000000007E00000000007E00000000007E0000000000FE0000000000FC0
2709 000000000FC0000000000FC0000000000FC0000000000FC0000000001FC0000000001F80
2710 000000001F80000000001F80000000001F80000000003F80000000003F00000000003F00
2711 000000003F00000000003F00000000007F00000000007E00000000007E00000000007E00
2712 000000007E0000000000FC0000000000FC0000000000FC0000000000FC0000000000F800
2713 00000001F80000000001F80000000001F00000000001F00000001C03F00000007F03E000
2714 0000FF03E0000000FF03C0000000FF07C0000000FF0780000000FE0F00000000F80F0000
2715 0000601E00000000783C000000001FF00000000007C000000000305A7BC530>I<000000
2716 7E0000000003FF800000000FC1E0E000001F0073F000007E0033F00000FC003FF00001F8
2717 001FF00003F8001FE00007F0000FE0000FE0000FE0000FE0000FE0001FC0000FC0003FC0
2718 000FC0003F80001FC0007F80001FC0007F00001F8000FF00001F8000FF00003F8001FF00
2719 003F8001FE00003F0001FE00003F0001FE00007F0003FE00007F0003FC00007E0003FC00
2720 007E0003FC0000FE0003FC0000FE0003F80000FC0003F80000FC0003F80001FC0003F800
2721 01FC0003F80001F80003F80001F80003F80003F80003F80007F80001F80007F00001F800
2722 0FF00000F8001FF00000FC003FF000007C0077E000003E01E7E000001F078FE0000007FE
2723 0FE0000001F80FC0000000000FC0000000001FC0000000001FC0000000001F8000000000
2724 1F80000000003F80000000003F80000000003F00000000003F00001C00007E00007F0000
2725 FE0000FF0000FC0000FF0001F80000FF0003F80000FE0007F00000FE000FC00000F8001F
2726 8000007C00FE0000001FFFF800000003FFC00000002C407EAB2F>I<0000FE000000007F
2727 FE000000007FFE000000007FFE0000000001FC0000000000FC0000000001FC0000000001
2728 FC0000000001F80000000001F80000000003F80000000003F80000000003F00000000003
2729 F00000000007F00000000007F00000000007E00000000007E0000000000FE0000000000F
2730 E0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F
2731 803FC000003F81FFF000003F87C0FC00003F0E007E00003F3C003E00007F70003F00007F
2732 E0001F00007FC0001F80007F80001F8000FF80001F8000FF00001F8000FE00001F8000FE
2733 00001F8001FC00003F8001FC00003F0001F800003F0001F800003F0003F800007F0003F8
2734 00007E0003F000007E0003F000007E0007F00000FE0007F00000FC0007E00000FC0007E0
2735 0001FC000FE00001F8000FE00001F8000FC00003F8000FC00003F0001FC00003F0071FC0
2736 0007F0061F800007E0061F80000FE0063F80000FC00E3F80000FC00C3F00000FC01C3F00
2737 000F80187F00000F80387F00000F80307E00000F80707E00000F80E0FE00000781C0FE00
2738 0007C380FC000001FF00380000007C0030467BC438>I<00001E0000003F0000007F0000
2739 00FF000000FF000000FF0000007E00000038000000000000000000000000000000000000
2740 000000000000000000000000000000000000000000000000000000000000000000000000
2741 000000003E000000FF800001C3C0000781E0000601F0000E01F0001C01F0001803F00038
2742 03F0003003F0003003F0007007F0006007E0006007E000E00FE000C00FC000001FC00000
2743 1F8000001F8000003F8000003F0000003F0000007F0000007E000000FE000000FC000000
2744 FC000001FC000001F8000001F8038003F8030003F0030007F0030007E0070007E0060007
2745 E00E0007E00C0007C01C0007C0180007C0380007C0700003C0E00003E1C00000FF800000
2746 3E000019437DC121>I<000000003C00000000FE00000000FE00000001FE00000001FE00
2747 000001FE00000001FC000000007000000000000000000000000000000000000000000000
2748 000000000000000000000000000000000000000000000000000000000000000000000000
2749 000000000000000000000000000000FC00000003FF0000000F078000001C07C000003803
2750 E000007003E00000E003E00000C003E00001C003E000018007E000038007E000030007E0
2751 00070007E00006000FE0000E000FE0000C000FC00000000FC00000001FC00000001FC000
2752 00001F800000001F800000003F800000003F800000003F000000003F000000007F000000
2753 007F000000007E000000007E00000000FE00000000FE00000000FC00000000FC00000001
2754 FC00000001FC00000001F800000001F800000003F800000003F800000003F000000003F0
2755 00000007F000000007F000000007E000000007E00000000FE00000000FE00000000FC000
2756 00000FC00000001FC00000001F800000001F800000003F80001C003F00007F003F0000FF
2757 007E0000FF00FC0000FF00FC0000FE01F80000FE03E00000F807C00000781F8000003FFE
2758 00000007F0000000275681C128>I<0000FE000000007FFE000000007FFE000000007FFE
2759 0000000001FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F8
2760 0000000003F80000000003F80000000003F00000000003F00000000007F00000000007F0
2761 0000000007E00000000007E0000000000FE0000000000FE0000000000FC0000000000FC0
2762 000000001FC0000000001FC0000000001F80000000001F80003F00003F8000FFC0003F80
2763 03C0E0003F000703E0003F001E0FE0007F00380FE0007F00701FE0007E00E01FE0007E01
2764 C01FE000FE01801FC000FE0380070000FC0700000000FC0E00000001FC1C00000001FC38
2765 00000001F87000000001F8E000000003FBC000000003FF0000000003FF8000000003FFF8
2766 00000007F1FE00000007F03F80000007E00FE0000007E007F000000FE003F000000FE003
2767 F800000FC001F800000FC001F800001FC001F801C01FC001F801801F8001F801801F8001
2768 F801803F8001F803803F8001F803003F0001F003003F0001F007007F0001F006007F0001
2769 F00E007E0001F00C007E0001F01C00FE0000F03800FE0000787000FC00003FE000380000
2770 0F80002B467BC433>I<0003F801FFF801FFF801FFF80007F00003F00007F00007F00007
2771 E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001F80001F80003F80003F80003F
2772 00003F00007F00007F00007E00007E0000FE0000FE0000FC0000FC0001FC0001FC0001F8
2773 0001F80003F80003F80003F00003F00007F00007F00007E00007E0000FE0000FE0000FC0
2774 000FC0001FC0001FC0001F80001F80003F80003F80003F00003F00007F00607F00E07E00
2775 C07E00C07E01C0FE0180FC0180FC0180FC03807C03007C07007C06003E0E001E1C000FF8
2776 0003E00015467CC41D>I<00F80003FC00007F800003FE001FFF0003FFE000071F007C0F
2777 C00F81F8000E0F80E007E01C00FC001C0FC3C003E078007C001807C70003F0E0007E0018
2778 07CE0001F1C0003E003807DC0001FB80003F003007D80001FB00003F00300FF80001FF00
2779 003F00700FF00001FE00003F00600FE00001FC00003F00600FE00001FC00003F00E00FC0
2780 0003F800007F00C01FC00003F800007E00C01F800003F000007E00001F800003F000007E
2781 00001F800007F00000FE00003F800007F00000FC00003F000007E00000FC00003F000007
2782 E00000FC00003F00000FE00001FC00007F00000FE00001F800007E00000FC00001F80000
2783 7E00000FC00003F800007E00001FC00003F00000FE00001FC00003F00000FC00001F8000
2784 07F00000FC00001F800007E00000FC00003F800007E00E01FC00003F80000FE00C01F800
2785 003F00000FC00C01F800003F00001FC00C01F800007F00001F801C03F800007F00001F80
2786 1803F000007E00001F803803F000007E00001F003003F00000FE00001F007007F00000FE
2787 00001F006007E00000FC00001F00E007E00000FC00001F01C007E00001FC00000F03800F
2788 E00001FC00000F87000FC00001F8000003FE000380000070000000F8004F2D7DAB55>I<
2789 00F80003FC000003FE001FFF0000071F007C0FC0000E0F80E007E0000C07C3C003E0001C
2790 07C70003F0001807CE0001F0003807DC0001F8003007D80001F800300FF80001F800700F
2791 F00001F800600FE00001F800600FE00001F800E00FC00003F800C01FC00003F000C01F80
2792 0003F000001F800003F000001F800007F000003F800007E000003F000007E000003F0000
2793 07E000003F00000FE000007F00000FC000007E00000FC000007E00001FC000007E00001F
2794 800000FE00001F800000FC00003F800000FC00003F000000FC00003F007001FC00007F00
2795 6001F800007E006001F80000FE006001F80000FC00E003F80000FC00C003F00000FC01C0
2796 03F00000F8018003F00000F8038007F00000F8030007E00000F8070007E00000F80E0007
2797 E00000781C000FE000007C38000FC000001FF0000380000007C000342D7DAB3A>I<0003
2798 E0003F8000000FF800FFE000001C7C03C0F80000383E07007C0000703F1E007E0000601F
2799 38003F0000601F70003F0000E01F60001F8000C01FE0001F8000C03FC0001F8001C03F80
2800 001FC001803F00001FC001803F00001FC003807F00001FC003007F00001FC003007E0000
2801 1FC000007E00001FC00000FE00003FC00000FE00003FC00000FC00003FC00000FC00003F
2802 C00001FC00007FC00001FC00007F800001F800007F800001F800007F800003F80000FF80
2803 0003F80000FF000003F00000FF000003F00000FE000007F00001FE000007F00001FC0000
2804 07E00003FC000007E00003F800000FE00007F800000FE00007F000000FE0000FE000000F
2805 E0000FC000001FF0001F8000001FF0003F0000001FB8007E0000001F9800FC0000003F9C
2806 01F80000003F8F07E00000003F03FF800000003F00FC000000007F0000000000007F0000
2807 000000007E0000000000007E000000000000FE000000000000FE000000000000FC000000
2808 000000FC000000000001FC000000000001FC000000000001F8000000000001F800000000
2809 0003F8000000000003F8000000000007F80000000000FFFFF000000000FFFFF000000000
2810 FFFFE000000000323F83AB31>112 D<00000FC00300003FF0070000F83C0F0003E00E1E
2811 000FC0063E001F80073E003F00037E007F0003FC00FE0001FC01FC0001FC01FC0001FC03
2812 F80001F807F80001F807F00001F80FF00003F80FF00003F01FE00003F01FE00003F03FE0
2813 0007F03FC00007E03FC00007E03FC00007E07FC0000FE07F80000FC07F80000FC07F8000
2814 0FC07F80001FC07F00001F80FF00001F80FF00001F80FF00003F807F00003F007F00003F
2815 007E00003F007E00007F007F0000FE003F0001FE003F0001FE003F0003FE001F8007FC00
2816 0F801EFC0007C038FC0003E0F1FC0001FFC1F800003F01F800000001F800000003F80000
2817 0003F000000003F000000003F000000007F000000007E000000007E000000007E0000000
2818 0FE00000000FC00000000FC00000001FC00000001FC00000003FC000001FFFFF80001FFF
2819 FF80001FFFFF00283F7DAB2B>I<00F8000FC003FE007FF0070F00F0380E0F83C07C0C07
2820 C701FC1C07CE01FC1807DC03FC3807D803FC3007F803FC300FF003F8700FE000E0600FE0
2821 0000600FC00000E00FC00000C01FC00000C01F800000001F800000001F800000003F8000
2822 00003F000000003F000000003F000000007F000000007E000000007E000000007E000000
2823 00FE00000000FC00000000FC00000000FC00000001FC00000001F800000001F800000001
2824 F800000003F800000003F000000003F000000003F000000007F000000007E000000007E0
2825 00000007E00000000FE00000000FC00000000380000000262D7DAB2C>I<00000FF00000
2826 007FFE000001F00F8000078001C0000F0000E0001E000060003C000060003C0001F00078
2827 0007F000780007F000F8000FE000F0000FE000F8000FE000F800038000FC00000000FE00
2828 000000FF00000000FFF80000007FFF8000007FFFE000003FFFF800001FFFFC000007FFFE
2829 000000FFFE00000007FF00000000FF000000007F000000003F800000001F800E00001F80
2830 3F00000F007F80000F007F80000F007F80001F00FF00001E00FF00001E00FC00003C0060
2831 00003C006000007800700000F000380001E0001C0007C0000F803F000003FFFC0000007F
2832 E00000242D7BAB2E>I<00001C0000007E0000007E0000007E000000FE000000FC000000
2833 FC000000FC000001FC000001F8000001F8000001F8000003F8000003F0000003F0000003
2834 F0000007F0000007E0000007E0007FFFFFFCFFFFFFFCFFFFFFF8000FC000000FC000001F
2835 C000001F8000001F8000001F8000003F8000003F0000003F0000003F0000007F0000007E
2836 0000007E0000007E000000FE000000FC000000FC000000FC000001FC000001F8000001F8
2837 000001F8000003F8000003F0000003F0000003F0007007F0006007E0006007E000E007E0
2838 00C00FE001C00FC001800FC003800FC0070007C0060007C00E0007C01C0003E0380001E0
2839 F00000FFC000003F00001E3F7EBD23>I<003E000000000000FF800000E00003C3C00003
2840 F0000703E00003F0000601F00003F0000E01F00007F0001C01F00007F0001803F00007E0
2841 003803F00007E0003003F0000FE0003003F0000FE0007007F0000FC0006007E0000FC000
2842 6007E0001FC000E00FE0001FC000C00FC0001F8000001FC0001F8000001F80003F800000
2843 1F80003F8000003F80003F0000003F00003F0000003F00007F0000007F00007F0000007E
2844 00007E0000007E00007E0000007E0000FE000000FE0000FE000000FC0000FC000000FC00
2845 00FC000000FC0001FC018000FC0001FC038001F80001F8030001F80001F8030001F80001
2846 F8070001F80003F8060001F80003F0060000F80007F0060000F8000FF00E0000FC000DF0
2847 0C00007C001DF01C00007C0039F01800003E00F0F83800001F03C07870000007FF803FE0
2848 000001FC000F8000312D7DAB38>I<003E00000E0000FF80003F8003C3C0007F800703E0
2849 007F800601F0007F800E01F0007F801C01F0007F801803F0003F803803F0001F803003F0
2850 000F803003F0000F807007F00007806007E00007806007E0000780E00FE0000700C00FC0
2851 000300001FC0000300001F80000700001F80000600003F80000600003F00000600003F00
2852 000E00007F00000C00007E00000C00007E00000C00007E00001C0000FE0000180000FC00
2853 00180000FC0000380000FC0000300000FC0000700001F80000600001F80000E00001F800
2854 00C00001F80001C00000F80001800000F80003800000FC0007000000FC00060000007C00
2855 0E0000007E001C0000003F00780000000F81E000000007FFC000000000FE000000292D7D
2856 AB2F>I<0000FC0007E00003FF801FFC000F07C0781E001C03E0E01F003801F1C07F0070
2857 00F1807F00E000FB80FF01C000FF00FF018000FE00FF038000FE00FE030000FE00380700
2858 00FC0000060000FC0000060001FC00000E0001F800000C0001F80000000001F800000000
2859 03F80000000003F00000000003F00000000003F00000000007F00000000007E000000000
2860 07E00000000007E0000000000FE0000000000FC0000000000FC0000000000FC000000000
2861 1FC0003800001FC0003000001F80003000001F80007000003F8000601E003F8000603F00
2862 3F8000E07F807F8001C07F806F800180FF80EF800380FF01CF800700FE0187C00E007C03
2863 83C01C003C0F01E078001FFC00FFE00003F0003F8000302D7EAB37>120
2864 D<003E0000000000FF800000E003C3C00003F00703E00003F00601F00003F00E01F00007
2865 F01C01F00007E01803F00007E03803F00007E03003F0000FE07003F0000FC06007F0000F
2866 C06007E0000FC06007E0001FC0E00FE0001F80C00FC0001F80001FC0001F80001F80003F
2867 80001F80003F00003F80003F00003F00003F00003F00007F00007F00007E00007E00007E
2868 00007E00007E00007E0000FE0000FE0000FC0000FC0000FC0000FC0000FC0000FC0001FC
2869 0000FC0001F80001F80001F80001F80001F80001F80003F80001F80003F00001F80003F0
2870 0000F80007F00000F8000FF00000FC000FE000007C001FE000007C003FE000003E00FFE0
2871 00001F03CFC0000007FF8FC0000001FC0FC0000000001FC0000000001F80000000001F80
2872 000000003F80000000003F000007C0007F00001FE0007E00001FE000FC00001FE000FC00
2873 003FC001F800003FC003F000003F8003E00000380007C0000018000F8000001C001F0000
2874 000E007C0000000781F800000003FFE0000000007F000000002C407DAB30>I<00007C00
2875 01800001FF0003800003FF800300000FFFC00700001FFFE00E00001FFFF01C00003F03F8
2876 38000078007EF8000070001FF00000600001E00000E00001C00000C00003800000000007
2877 00000000000E00000000001C0000000000380000000000700000000000E00000000001C0
2878 000000000380000000000700000000000E00000000001C00000000003800000000007000
2879 00000000E00000000003C0000000000700000000000E00000000001C00001C0000380000
2880 180000700000180000E00000380001C00000300001800000700003900000F00007FF0001
2881 E0000FEFC007C0001E03F01FC0001C01FFFF80003800FFFF00007000FFFE000060007FFC
2882 0000E0003FF00000C0000FC00000292D7CAB2D>I E /Fk 11 107
2883 df<FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC02A037A9137>0 D<3C7EFFFFFFFF7E3C08
2884 087A9414>I<60000000C0E0000001C0F0000003C078000007803C00000F001E00001E00
2885 0F00003C00078000780003C000F00001E001E00000F003C0000078078000003C0F000000
2886 1E1E0000000F3C00000007F800000003F000000001E000000003F000000007F80000000F
2887 3C0000001E1E0000003C0F0000007807800000F003C00001E001E00003C000F000078000
2888 78000F00003C001E00001E003C00000F007800000780F0000003C0E0000001C060000000
2889 C0222376A137>I<000C0000001E0000001E0000001E0000001E0000001E0000601E0180
2890 781E0780FC0C0FC07F0C3F803F8C7F0007CCF80001FFE000007F8000001E0000007F8000
2891 01FFE00007CCF8003F8C7F007F0C3F80FC0C0FC0781E0780601E0180001E0000001E0000
2892 001E0000001E0000001E0000000C00001A1D7C9E23>I<00000300000000000380000000
2893 000380000000000380000000000380000000000380000000000380000000000380000000
2894 000380000000000380000000000380000000000380000000000380000000000380000000
2895 000380000000000380000000000380000000000380000000000380000000000380000000
2896 0003800000000003800000FFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFC00000380000000
2897 000380000000000380000000000380000000000380000000000380000000000380000000
2898 000380000000000380000000000380000000000380000000000380000000000380000000
2899 0003800000000003800000000003800000000003800000000003800000000003800000FF
2900 FFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFC2E2F7CAD37>6 D<007F800001FFE00007FFF8
2901 000FC0FC001F003E003C000F00380007007800078070000380F00003C0E00001C0E00001
2902 C0E00001C0E00001C0E00001C0E00001C0E00001C0F00003C07000038078000780380007
2903 003C000F001F003E000FC0FC0007FFF80001FFE000007F80001A1B7C9D23>14
2904 D<00000000000E000000000000000E000000000000000E000000000000000F0000000000
2905 000007000000000000000780000000000000038000000000000003C000000000000001C0
2906 00000000000001E000000000000000F00000000000000078000000000000007C00000000
2907 0000003E000000000000000F0000000000000007C0FFFFFFFFFFFFFFF8FFFFFFFFFFFFFF
2908 FCFFFFFFFFFFFFFFF800000000000007C00000000000000F000000000000003E00000000
2909 0000007C000000000000007800000000000000F000000000000001E000000000000001C0
2910 00000000000003C000000000000003800000000000000780000000000000070000000000
2911 00000F000000000000000E000000000000000E000000000000000E00003E237CA147>33
2912 D<007800FE01FE01FE01FE03FE03FC03FC03FC07F807F807F807F007F00FE00FE00FE00F
2913 C01FC01F801F801F803F003F003F003E007E007C007C007C00F800F800F800F0000F227E
2914 A413>48 D<003F80000007F00000FFF000003FFC0003FFFC0000FFFF0007FFFF0001F807
2915 800F80FF8007C001C01E003FC00F8000E03C001FE01F00007038000FF03E000030700007
2916 F83C000038700003FC78000018600001FEF0000018E00000FFE000001CC000007FE00000
2917 0CC000007FC000000CC000003FC000000CC000001FE000000CC000000FF000000CC00000
2918 0FF800000CC000001FF800000CE000001FFC00001C6000003DFE00001860000078FF0000
2919 38700000F07F800038300001F03FC00070380003E01FE000F01C0007C00FF001E00E000F
2920 8007FC07C007807E0003FFFF8003FFFC0000FFFF0000FFF000003FFC00003F80000007F0
2921 003E1F7C9D47>I<00000180000000000380000000000380000000000380000000000380
2922 000000000380000000000380000000000380000000000380000000000380000000000380
2923 000000000380000000000380000000000380000000000380000000000380000000000380
2924 000000000380000000000380000000000380000000000380000000000380000000000380
2925 000000000380000000000380000000000380000000000380000000000380000000000380
2926 000000000380000000000380000000000380000000000380000000000380000000000380
2927 000000000380000000000380000000000380000000000380000000000380000000000380
2928 00000000038000000000038000007FFFFFFFFFFEFFFFFFFFFFFE7FFFFFFFFFFE2F2E7CAD
2929 38>63 D<E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0
2930 E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E003
2931 4378B114>106 D E /Fl 58 121 df<0000FF807E000007FFE1FF80001F807FC3C0003E
2932 007F87E0007C00FF07E000F800FE07E001F000FE07E003F000FC018003E0007C000003E0
2933 007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0
2934 007C000003E0007C000003E0007C0000FFFFFFFFFC00FFFFFFFFFC0003E0007C000003E0
2935 007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0
2936 007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0
2937 007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0007C000003E0
2938 007C000003E0007C000003E0007C000003E0007C000003E0007C000007F000FE00007FFF
2939 0FFFF0007FFF0FFFF0002B2F7FAE29>11 D<0000FF00000007FFE000001F80F000003E00
2940 3800007C007C0000F800FC0001F000FC0003F000FC0003E000780003E000300003E00000
2941 0003E000000003E000000003E000000003E000000003E000000003E000000003E0007C00
2942 FFFFFFFC00FFFFFFFC0003E000FC0003E0007C0003E0007C0003E0007C0003E0007C0003
2943 E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0
2944 007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E000
2945 7C0003E0007C0003E0007C0003E0007C0003E0007C0007F000FE007FFF0FFFE07FFF0FFF
2946 E0232F7FAE27>I<0000FFC0000007FFFC00001F807C00003E00FC00007C00FC0000F800
2947 FC0001F000FC0003F0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C
2948 0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C00FFFFFFFC00FFFFFFFC00
2949 03E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003
2950 E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0
2951 007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E0007C0003E000
2952 7C0003E0007C0003E0007C0007F000FE007FFF0FFFE07FFF0FFFE0232F7FAE27>I<0003
2953 0007000E001C0038007000F001E001C003C0078007800F000F001E001E001E003C003C00
2954 3C003C0078007800780078007800F800F800F000F000F000F000F000F000F000F000F000
2955 F000F000F800F800780078007800780078003C003C003C003C001E001E001E000F000F00
2956 0780078003C001C001E000F000700038001C000E0007000310437AB11B>40
2957 D<C000E000700038001C000E000F000780038003C001E001E000F000F000780078007800
2958 3C003C003C003C001E001E001E001E001E001F001F000F000F000F000F000F000F000F00
2959 0F000F000F000F001F001F001E001E001E001E001E003C003C003C003C00780078007800
2960 F000F001E001E003C0038007800F000E001C0038007000E000C00010437CB11B>I<0000
2961 038000000000038000000000038000000000038000000000038000000000038000000000
2962 038000000000038000000000038000000000038000000000038000000000038000000000
2963 038000000000038000000000038000000000038000000000038000000000038000000000
2964 03800000000003800000000003800000000003800000FFFFFFFFFFFCFFFFFFFFFFFCFFFF
2965 FFFFFFFC0000038000000000038000000000038000000000038000000000038000000000
2966 038000000000038000000000038000000000038000000000038000000000038000000000
2967 038000000000038000000000038000000000038000000000038000000000038000000000
2968 038000000000038000000000038000000000038000000000038000002E2F7CA737>43
2969 D<003FC00000FFF00003E07C0007C03E000F801F000F000F001E0007801E0007803E0007
2970 C03E0007C07C0003E07C0003E07C0003E07C0003E07C0003E0FC0003F0FC0003F0FC0003
2971 F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F0FC0003
2972 F0FC0003F0FC0003F0FC0003F0FC0003F07C0003E07C0003E07C0003E07E0007E03E0007
2973 C03E0007C03E0007C01F000F800F000F000F801F0007C03E0003F0FC0000FFF000003FC0
2974 001C2D7DAB23>48 D<000C00003C00007C0003FC00FFFC00FC7C00007C00007C00007C00
2975 007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00
2976 007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00
2977 007C00007C00007C00007C00007C00007C00007C00007C0000FE007FFFFE7FFFFE172C7A
2978 AB23>I<007F800001FFF0000780FC000E003F001C001F8038000FC070000FC0600007E0
2979 F00007E0FC0007F0FE0007F0FE0003F0FE0003F0FE0003F07C0007F0000007F0000007F0
2980 000007E000000FE000000FC000001FC000001F8000003F0000007E0000007C000000F800
2981 0001F0000003E0000007C000000F8000001E0000003C00000078000000F0003000E00030
2982 01C0003003800060070000600E0000E01FFFFFE03FFFFFE07FFFFFC0FFFFFFC0FFFFFFC0
2983 1C2C7DAB23>I<003FC00001FFF00007C0FC000E007E001C003F001C001F803F001FC03F
2984 001FC03F800FC03F000FC03F000FC00C001FC000001FC000001F8000001F8000003F0000
2985 003E0000007C000000F8000003F00000FFC00000FFF0000000FC0000003F0000001F8000
2986 001FC000000FC000000FE000000FE0000007F0000007F0380007F07C0007F0FE0007F0FE
2987 0007F0FE0007F0FE000FE0F8000FE060000FC070001FC038001F801E003F000780FC0001
2988 FFF000007FC0001C2D7DAB23>I<00000E0000000E0000001E0000003E0000003E000000
2989 7E000000FE000000FE000001BE000003BE0000033E0000063E00000E3E00000C3E000018
2990 3E0000383E0000303E0000603E0000E03E0000C03E0001803E0003803E0003003E000600
2991 3E000E003E000C003E0018003E0038003E0030003E0060003E00E0003E00FFFFFFFCFFFF
2992 FFFC00003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E000000
2993 3E0000007F00001FFFFC001FFFFC1E2D7EAC23>I<0C0001800FC01F800FFFFF000FFFFE
2994 000FFFFC000FFFF0000FFFC0000C7E00000C0000000C0000000C0000000C0000000C0000
2995 000C0000000C0000000C0000000C1FC0000C7FF8000DE07C000F801F000F001F800E000F
2996 800C0007C0000007E0000007E0000003E0000003F0000003F0000003F0000003F0780003
2997 F0FC0003F0FC0003F0FC0003F0FC0003F0F80007E0E00007E0600007C070000FC038000F
2998 801C001F000E003E000780F80001FFE000007F80001C2D7DAB23>I<0003F800000FFE00
2999 003E078000F8018001F007C003E00FC007C00FC00F800FC00F800FC01F0007801F000000
3000 3E0000003E0000007E0000007E0000007C0000007C0FC000FC3FF000FCF07C00FDC01E00
3001 FF800F00FF000F80FF0007C0FE0007E0FE0007E0FE0003E0FC0003F0FC0003F0FC0003F0
3002 FC0003F07C0003F07C0003F07C0003F07E0003F07E0003F03E0003E03E0007E01E0007E0
3003 1F0007C00F000F8007801F0003C03E0001E07C00007FF000001FC0001C2D7DAB23>I<30
3004 0000003C0000003FFFFFF83FFFFFF83FFFFFF07FFFFFF07FFFFFE0700001C06000018060
3005 000380C0000700C0000E00C0000C0000001C000000380000003000000070000000E00000
3006 01C0000001C00000038000000380000007000000070000000F0000000E0000001E000000
3007 1E0000003E0000003E0000003E0000003C0000007C0000007C0000007C0000007C000000
3008 FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000
3009 7800001D2E7CAC23>I<001FC00000FFF00003E07C0007801E000F000F001E0007801E00
3010 07803C0003C03C0003C03C0003C03C0003C03E0003C03E0007C03F0007801FC00F801FE0
3011 0F001FF81E000FFC3C0007FFF80003FFE00000FFE000003FF80000FFFC0003C7FF000783
3012 FF801F00FFC01E003FC03C001FE07C0007E0780003F0F80003F0F00001F0F00000F0F000
3013 00F0F00000F0F00000F0F80000E0780001E07C0001C03C0003C01E0007800F800F0007E0
3014 3C0001FFF000003FC0001C2D7DAB23>I<003F800000FFF00003E0780007C03E000F801F
3015 001F000F003E000F803E0007807E0007C07C0007C0FC0007E0FC0003E0FC0003E0FC0003
3016 E0FC0003F0FC0003F0FC0003F0FC0003F0FC0003F07C0007F07E0007F07E0007F03E000F
3017 F01F000FF00F001FF007803BF003E0F3F000FFC3F0003F03E0000003E0000007E0000007
3018 E0000007C0000007C000000FC01E000F803F000F003F001F003F003E003F003C003E0078
3019 001C00F0000E03E00007FF800001FE00001C2D7DAB23>I<FFFFFFFFFFFCFFFFFFFFFFFC
3020 FFFFFFFFFFFC000000000000000000000000000000000000000000000000000000000000
3021 000000000000000000000000000000000000000000000000000000000000000000000000
3022 000000000000000000000000FFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFC2E137C9937>
3023 61 D<000001800000000003C00000000003C00000000003C00000000007E00000000007
3024 E0000000000FF0000000000FF0000000000FF0000000001BF80000000019F80000000019
3025 F80000000030FC0000000030FC0000000070FE00000000607E00000000607E00000000C0
3026 3F00000000C03F00000000C03F00000001801F80000001801F80000003801FC000000300
3027 0FC0000003000FC00000060007E00000060007E00000060007E000000C0003F000000C00
3028 03F000001FFFFFF800001FFFFFF80000180001F80000300000FC0000300000FC00003000
3029 00FC00006000007E00006000007E0000E000007F0000C000003F0000C000003F0001C000
3030 001F8003C000001F8007C000001FC00FF000003FE0FFFC0003FFFFFFFC0003FFFF302F7E
3031 AE35>65 D<00001FF000C00000FFFE01C00003F00F83C0000F8001E3C0003F000077C000
3032 7C00003FC001F800001FC003F000000FC007E0000007C007E0000007C00FC0000003C01F
3033 C0000003C01F80000001C03F80000001C03F00000001C07F00000000C07F00000000C07F
3034 00000000C0FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE
3035 0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000007F
3036 00000000007F00000000C07F00000000C03F00000000C03F80000000C01F80000001C01F
3037 C0000001800FC00000018007E00000038007E00000070003F00000060001F800000E0000
3038 7C00001C00003F00007800000F8001E0000003F00FC0000000FFFE000000001FF000002A
3039 2F7CAD33>67 D<FFFFFFF80000FFFFFFFF000003F8001FE00001F80003F00001F80000F8
3040 0001F800007E0001F800003F0001F800001F8001F800000F8001F800000FC001F8000007
3041 E001F8000007E001F8000003F001F8000003F001F8000003F801F8000001F801F8000001
3042 F801F8000001F801F8000001FC01F8000001FC01F8000001FC01F8000001FC01F8000001
3043 FC01F8000001FC01F8000001FC01F8000001FC01F8000001FC01F8000001FC01F8000001
3044 F801F8000001F801F8000001F801F8000003F001F8000003F001F8000003E001F8000007
3045 E001F8000007C001F800000FC001F800001F8001F800003F0001F800007E0001F80000FC
3046 0001F80003F00003F8001FE000FFFFFFFF8000FFFFFFF800002E2D7DAC36>I<FFFFFFFF
3047 FE00FFFFFFFFFE0003F80001FE0001F800003E0001F800001F0001F800000F0001F80000
3048 070001F80000070001F80000030001F80000030001F80000030001F80000038001F80000
3049 018001F80018018001F80018018001F80018000001F80018000001F80018000001F80038
3050 000001F80078000001F800F8000001FFFFF8000001FFFFF8000001F800F8000001F80078
3051 000001F80038000001F80018000001F80018000001F80018006001F80018006001F80018
3052 006001F8000000C001F8000000C001F8000000C001F8000000C001F8000001C001F80000
3053 018001F80000038001F80000038001F80000078001F800000F8001F800003F8003F80001
3054 FF00FFFFFFFFFF00FFFFFFFFFF002B2D7EAC30>I<FFFFFFFFFCFFFFFFFFFC03F80003FC
3055 01F800007C01F800003E01F800001E01F800000E01F800000E01F800000601F800000601
3056 F800000601F800000701F800000301F800180301F800180301F800180001F800180001F8
3057 00180001F800380001F800780001F800F80001FFFFF80001FFFFF80001F800F80001F800
3058 780001F800380001F800180001F800180001F800180001F800180001F800180001F80000
3059 0001F800000001F800000001F800000001F800000001F800000001F800000001F8000000
3060 01F800000001F800000001F800000003FC000000FFFFF80000FFFFF80000282D7EAC2E>
3061 I<FFFFF03FFFFCFFFFF03FFFFC03FC0000FF0001F800007E0001F800007E0001F800007E
3062 0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E
3063 0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E
3064 0001F800007E0001F800007E0001F800007E0001FFFFFFFE0001FFFFFFFE0001F800007E
3065 0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E
3066 0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E
3067 0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E0001F800007E
3068 0003FC0000FF00FFFFF03FFFFCFFFFF03FFFFC2E2D7DAC35>72 D<FFFFF0FFFFF003FC00
3069 01F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F800
3070 01F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F800
3071 01F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F800
3072 01F80001F80001F80003FC00FFFFF0FFFFF0142D7EAC19>I<007FFFF0007FFFF00000FF
3073 0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E
3074 0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E
3075 0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E
3076 0000007E0000007E0000007E0000007E0038007E00FE007E00FE007E00FE007E00FE00FE
3077 00FE00FC007800FC007001F8003803F0001E07E00007FF800001FC00001C2E7DAC24>I<
3078 FFFFF80000FFFFF8000003FC00000001F800000001F800000001F800000001F800000001
3079 F800000001F800000001F800000001F800000001F800000001F800000001F800000001F8
3080 00000001F800000001F800000001F800000001F800000001F800000001F800000001F800
3081 000001F800000001F800000001F800000001F800000001F800000001F800000001F80000
3082 0C01F800000C01F800000C01F800000C01F800001801F800001801F800001801F8000018
3083 01F800003801F800003801F800007801F80000F801F80001F801F80007F003F8001FF0FF
3084 FFFFFFF0FFFFFFFFF0262D7EAC2C>76 D<FFF800000007FFC0FFFC0000000FFFC003FC00
3085 00000FF00001FC0000000FE00001BE0000001BE00001BE0000001BE000019F00000033E0
3086 00019F00000033E000019F00000033E000018F80000063E000018F80000063E0000187C0
3087 0000C3E0000187C00000C3E0000183E0000183E0000183E0000183E0000183E0000183E0
3088 000181F0000303E0000181F0000303E0000180F8000603E0000180F8000603E0000180F8
3089 000603E00001807C000C03E00001807C000C03E00001803E001803E00001803E001803E0
3090 0001803E001803E00001801F003003E00001801F003003E00001800F806003E00001800F
3091 806003E000018007C0C003E000018007C0C003E000018007C0C003E000018003E18003E0
3092 00018003E18003E000018001F30003E000018001F30003E000018001F30003E000018000
3093 FE0003E000018000FE0003E0000180007C0003E00003C0007C0003E0000FF0007C0007F0
3094 00FFFF003801FFFFC0FFFF003801FFFFC03A2D7DAC41>I<FFF80003FFFCFFFC0003FFFC
3095 01FC00003FC001FE00000F0001FF0000060001BF8000060001BF80000600019FC0000600
3096 018FE00006000187E00006000187F00006000183F80006000181F80006000181FC000600
3097 0180FE00060001807E00060001807F00060001803F80060001801FC0060001800FC00600
3098 01800FE00600018007F00600018003F00600018003F80600018001FC0600018000FC0600
3099 018000FE06000180007F06000180003F86000180001F86000180001FC6000180000FE600
3100 01800007E60001800007F60001800003FE0001800001FE0001800001FE0001800000FE00
3101 018000007E00018000003E00018000003E0003C000001E000FF000000E00FFFF00000E00
3102 FFFF000006002E2D7DAC35>I<FFFFFFFC0000FFFFFFFF800003F8000FE00001F80003F0
3103 0001F80000F80001F80000FC0001F800007E0001F800007F0001F800003F0001F800003F
3104 8001F800003F8001F800003F8001F800003F8001F800003F8001F800003F8001F800003F
3105 0001F800007F0001F800007E0001F80000FC0001F80000F80001F80003F00001F8000FE0
3106 0001FFFFFF800001FFFFFC000001F80000000001F80000000001F80000000001F8000000
3107 0001F80000000001F80000000001F80000000001F80000000001F80000000001F8000000
3108 0001F80000000001F80000000001F80000000001F80000000001F80000000001F8000000
3109 0001F80000000001F80000000003FC00000000FFFFF0000000FFFFF0000000292D7EAC30
3110 >80 D<00003FF000000001FFFE00000007E01F8000001F8007E000003E0001F00000FC00
3111 00FC0001F800007E0003F000003F0007E000001F8007C000000F800FC000000FC01F8000
3112 0007E01F80000007E03F80000007F03F00000003F07F00000003F87F00000003F87F0000
3113 0003F87E00000001F8FE00000001FCFE00000001FCFE00000001FCFE00000001FCFE0000
3114 0001FCFE00000001FCFE00000001FCFE00000001FCFE00000001FCFE00000001FC7E0000
3115 0001F87F00000003F87F00000003F83F00000003F03F00000003F01F80000007E01F8000
3116 0007E00FC007800FC00FC01FE00FC007E038701F8003F070183F0001F8601C7E0000FC60
3117 0CFC00007E600FF800001FF00FE0000007F81F80000001FFFF000C00003FF7000C000000
3118 07800C00000007801C00000003C01C00000003E03C00000003F07800000003FFF8000000
3119 01FFF800000001FFF000000001FFF000000000FFE0000000007FC0000000001F002E3B7C
3120 AD37>I<003F803001FFF07007C07C700F000EF01E0007F03C0003F0780001F0780000F0
3121 700000F0F0000070F0000070F0000070F0000030F8000030F8000030FC0000007E000000
3122 7F0000003FE000003FFE00001FFFE0000FFFFC0007FFFF0001FFFF80003FFFE00003FFE0
3123 00003FF0000007F8000001F8000000F8000000FC0000007CC000007CC000003CC000003C
3124 C000003CE000003CE000003CE0000078F0000078F8000070FC0000F0FE0001E0F78003C0
3125 E3F00F00E07FFE00C00FF0001E2F7CAD27>83 D<7FFFFFFFFFF87FFFFFFFFFF87F000FC0
3126 03F87C000FC000F870000FC0003870000FC0003860000FC0001860000FC00018E0000FC0
3127 001CE0000FC0001CC0000FC0000CC0000FC0000CC0000FC0000CC0000FC0000CC0000FC0
3128 000C00000FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0
3129 000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0
3130 000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0
3131 000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0
3132 000000000FC0000000000FC0000000000FC0000000001FE00000001FFFFFE000001FFFFF
3133 E0002E2D7EAC33>I<FFFFC0000FFFC0FFFFC0000FFFC007FC000003FE0003F8000000F8
3134 0001F8000000F00001F8000000E00000FC000000E00000FC000000C00000FE000001C000
3135 007E0000018000007E0000018000003F0000030000003F0000030000003F800007000000
3136 1F8000060000001FC000060000000FC0000C0000000FC0000C00000007E0001800000007
3137 E0001800000007F0003800000003F0003000000003F0003000000001F8006000000001F8
3138 006000000001FC00E000000000FC00C000000000FE00C0000000007E0180000000007E01
3139 80000000003F0300000000003F0300000000003F8300000000001F8600000000001F8600
3140 000000000FCC00000000000FCC00000000000FFC000000000007F8000000000007F80000
3141 00000003F0000000000003F0000000000003F0000000000001E0000000000001E0000000
3142 000000C0000000322E7FAC35>86 D<FFFF801FFFF001FFF8FFFF801FFFF001FFF807FC00
3143 01FF00003FC003F00000FE00001F0003F000007E00000E0003F000007E00000E0001F800
3144 007F00000C0001F800007F00000C0001FC00007F00001C0000FC0000DF8000180000FC00
3145 00DF8000180000FE0000DF80003800007E00018FC0003000007E00018FC0003000007F00
3146 018FC0007000003F000307E0006000003F000307E0006000003F800307E000E000001F80
3147 0603F000C000001F800603F000C000001FC00603F001C000000FC00C01F8018000000FC0
3148 0C01F8018000000FE00C01F80380000007E01800FC0300000007E01800FC0300000007F0
3149 1800FC0700000003F030007E0600000003F030007E0600000003F830007E0E00000001F8
3150 60003F0C00000001F860003F0C00000001FC60003F1C00000000FCC0001F9800000000FC
3151 C0001F9800000000FEC0001FB8000000007F80000FF0000000007F80000FF0000000003F
3152 80000FE0000000003F000007E0000000003F000007E0000000001F000007C0000000001E
3153 000003C0000000001E000003C0000000000E00000380000000000C000001800000452E7F
3154 AC48>I<3FFFFFFFC03FFFFFFFC03FF0001FC03F80003F803E00007F003C00007F003800
3155 00FE00380001FC00700001FC00700003F800700007F000600007F00060000FE00060001F
3156 C00060001FC00000003F800000007F000000007F00000000FE00000001FC00000001FC00
3157 000003F800000003F000000007F00000000FE00000000FE00000001FC00000003F800000
3158 003F800060007F00006000FE00006000FE00006001FC00006003F80000E003F80000E007
3159 F00000E00FE00000C00FE00001C01FC00001C03F800003C03F800007C07F00001FC0FE00
3160 00FFC0FFFFFFFFC0FFFFFFFFC0232D7CAC2B>90 D<00FF000007FFC0000F01F0001C00F8
3161 003F007C003F003E003F003E003F003F001E001F0000001F0000001F0000001F0000001F
3162 000007FF00007FFF0001FE1F0007F01F001FC01F003F801F007F001F007E001F00FE001F
3163 06FC001F06FC001F06FC001F06FC003F06FE003F067E007F067F00EF8C1F83C7FC0FFF03
3164 F801FC01E01F207D9E23>97 D<07C0000000FFC0000000FFC00000000FC000000007C000
3165 000007C000000007C000000007C000000007C000000007C000000007C000000007C00000
3166 0007C000000007C000000007C000000007C000000007C0FE000007C7FF800007CF03E000
3167 07DC01F00007F8007C0007F0007E0007E0003E0007C0001F0007C0001F8007C0001F8007
3168 C0000F8007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0
3169 000FC007C0000FC007C0000FC007C0001F8007C0001F8007C0001F0007C0003F0007E000
3170 3E0007F0007C0007B000F80007BC01F000070E07E0000607FF80000001FC0000222F7EAD
3171 27>I<001FE000007FFC0001F01E0003E0070007C01F800F801F801F001F803F001F803E
3172 000F007E0000007E0000007C000000FC000000FC000000FC000000FC000000FC000000FC
3173 000000FC000000FC000000FC0000007E0000007E0000007E0000C03F0000C01F0001C01F
3174 8001800FC0038007E0070001F03E00007FF800001FC0001A207E9E1F>I<000000F80000
3175 001FF80000001FF800000001F800000000F800000000F800000000F800000000F8000000
3176 00F800000000F800000000F800000000F800000000F800000000F800000000F800000000
3177 F800000FE0F800007FF8F80001F81EF80003E007F80007C003F8000F8001F8001F0001F8
3178 003F0000F8003E0000F8007E0000F8007E0000F800FC0000F800FC0000F800FC0000F800
3179 FC0000F800FC0000F800FC0000F800FC0000F800FC0000F800FC0000F8007C0000F8007E
3180 0000F8007E0000F8003E0001F8001F0001F8001F8003F8000F8007F80003E00EFC0001F0
3181 3CFFC0007FF0FFC0001FC0F800222F7EAD27>I<001F800000FFF00003E0780007C03E00
3182 0F801E001F001F001F000F803E000F807E0007807E0007C07C0007C0FC0007C0FC0007C0
3183 FC0007C0FFFFFFC0FFFFFFC0FC000000FC000000FC000000FC000000FC0000007E000000
3184 7E0000003E0000C03F0000C01F0001C00F8003800FC0030003E00F0001F03C00007FF800
3185 001FC0001A207E9E1F>I<0003F0000FFC003E1E007C3F00F83F01F03F01F03F03E00C03
3186 E00003E00003E00003E00003E00003E00003E00003E00003E00003E000FFFFE0FFFFE003
3187 E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003
3188 E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00007
3189 F0007FFF807FFF80182F7FAE16>I<003F00F800FFC3FE03E1FF1E07807C1E0F807C0C1F
3190 003E001F003E003E001F003E001F003E001F003E001F003E001F003E001F003E001F001F
3191 003E001F003E000F807C00078078000FE1F0000CFFC0001C3F00001C0000001C0000001C
3192 0000001E0000001F0000000FFFF8000FFFFF0007FFFFC00FFFFFF01E0007F83C0000F878
3193 00007CF800007CF000003CF000003CF000003CF000003CF800007C7C0000F83E0001F01F
3194 0003E007E01F8001FFFE00003FF0001F2D7E9D23>I<07C0000000FFC0000000FFC00000
3195 000FC000000007C000000007C000000007C000000007C000000007C000000007C0000000
3196 07C000000007C000000007C000000007C000000007C000000007C000000007C0FE000007
3197 C3FF800007C703E00007DE01F00007F801F00007F000F80007F000F80007E000F80007E0
3198 00F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000
3199 F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F8
3200 0007C000F80007C000F80007C000F80007C000F8000FE001FC00FFFE1FFFC0FFFE1FFFC0
3201 222E7EAD27>I<07800FC01FE01FE01FE01FE00FC0078000000000000000000000000000
3202 00000007C0FFC0FFC00FC007C007C007C007C007C007C007C007C007C007C007C007C007
3203 C007C007C007C007C007C007C007C007C007C007C00FE0FFFCFFFC0E2E7EAD14>I<000F
3204 00001F80003FC0003FC0003FC0003FC0001F80000F000000000000000000000000000000
3205 000000000000000000000007C000FFC000FFC0000FC00007C00007C00007C00007C00007
3206 C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007
3207 C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007
3208 C00007C00007C03007C07807C0FC0F80FC0F80FC0F00F81F00783E003FF80007E000123C
3209 83AD16>I<07C0FFC0FFC00FC007C007C007C007C007C007C007C007C007C007C007C007
3210 C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007C007
3211 C007C007C007C007C007C007C007C007C007C00FE0FFFEFFFE0F2E7EAD14>108
3212 D<07C07F0007F000FFC3FFC03FFC00FFC783F0783F000FCE01F8E01F8007DC00F9C00F80
3213 07F800FF800FC007F0007F0007C007E0007E0007C007E0007E0007C007C0007C0007C007
3214 C0007C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C0
3215 007C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C000
3216 7C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C0007C0007C007C0007C
3217 0007C007C0007C0007C00FE000FE000FE0FFFE0FFFE0FFFEFFFE0FFFE0FFFE371E7E9D3C
3218 >I<07C0FE0000FFC3FF8000FFC703E0000FDE01F00007F801F00007F000F80007F000F8
3219 0007E000F80007E000F80007C000F80007C000F80007C000F80007C000F80007C000F800
3220 07C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007
3221 C000F80007C000F80007C000F80007C000F80007C000F80007C000F8000FE001FC00FFFE
3222 1FFFC0FFFE1FFFC0221E7E9D27>I<001FE000007FF80001F03E0003C00F00078007800F
3223 0003C01F0003E03E0001F03E0001F07C0000F87C0000F87C0000F8FC0000FCFC0000FCFC
3224 0000FCFC0000FCFC0000FCFC0000FCFC0000FCFC0000FCFC0000FC7C0000F87C0000F83E
3225 0001F03E0001F01F0003E01F0003E00F8007C007C00F8001F03E00007FF800001FE0001E
3226 207E9E23>I<07C0FE0000FFC7FF8000FFCF03E0000FDC01F00007F800FC0007F0007E00
3227 07E0003E0007C0003F0007C0001F8007C0001F8007C0001F8007C0000FC007C0000FC007
3228 C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0000FC007C0001FC007C0
3229 001F8007C0001F8007C0003F0007C0003F0007E0007E0007F0007C0007F000F80007FC01
3230 F00007CE07E00007C7FF800007C1FC000007C000000007C000000007C000000007C00000
3231 0007C000000007C000000007C000000007C000000007C00000000FE0000000FFFE000000
3232 FFFE000000222B7E9D27>I<000FE01800007FF8380001F81C380003E00E780007C00778
3233 000F8003F8001F8001F8003F0001F8003F0001F8007E0000F8007E0000F800FE0000F800
3234 FC0000F800FC0000F800FC0000F800FC0000F800FC0000F800FC0000F800FC0000F800FC
3235 0000F8007E0000F8007E0000F8007E0000F8003F0001F8001F0001F8001F8003F8000FC0
3236 07F80003E00EF80001F03CF800007FF0F800001FC0F800000000F800000000F800000000
3237 F800000000F800000000F800000000F800000000F800000000F800000000F800000001FC
3238 0000001FFFC000001FFFC0222B7E9D25>I<0781F8FF87FEFF8E3F0F9C3F07B83F07B03F
3239 07F01E07E00007E00007E00007E00007C00007C00007C00007C00007C00007C00007C000
3240 07C00007C00007C00007C00007C00007C00007C00007C00007C0000FE000FFFF00FFFF00
3241 181E7E9D1C>I<01FE1807FFB81E01F83C00F8780078F00038F00038F00018F00018F800
3242 18FC0018FF00007FF0003FFF001FFFC00FFFF001FFF8001FFC0001FCC0007EC0003EC000
3243 3EE0001EE0001EF0001EF0001EF8003CF8003CFC0078FF01F0E3FFC0C0FF0017207E9E1C
3244 >I<00600000600000600000600000E00000E00000E00001E00003E00003E00007E0001F
3245 E000FFFFF0FFFFF003E00003E00003E00003E00003E00003E00003E00003E00003E00003
3246 E00003E00003E00003E00003E00003E00003E01803E01803E01803E01803E01803E01803
3247 E01803E03801F03001F07000F860003FE0000F80152A7FA81B>I<07C000F800FFC01FF8
3248 00FFC01FF8000FC001F80007C000F80007C000F80007C000F80007C000F80007C000F800
3249 07C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007
3250 C000F80007C000F80007C000F80007C000F80007C000F80007C000F80007C001F80007C0
3251 01F80007C001F80007C003F80003E007F80003E00EFC0001F81CFFC0007FF8FFC0001FE0
3252 F800221F7E9D27>I<FFFC01FFC0FFFC01FFC00FE0007E0007E0007C0007E000380003E0
3253 00300003E000700001F000600001F000600000F800C00000F800C00000F800C000007C01
3254 8000007C018000003E030000003E030000003F070000001F060000001F060000000F8C00
3255 00000F8C0000000FDC00000007D800000007D800000003F000000003F000000003F00000
3256 0001E000000001E000000000C00000221E7F9C25>I<FFFC3FFE07FFFFFC3FFE07FF0FE0
3257 03F001F80FC003E000F007C001E000E007C001F000E003E003F000C003E003F000C003E0
3258 07F801C001F00678018001F00678018001F80E7C038000F80C3C030000F80C3C0300007C
3259 181E0600007C181E0600007C181F0600003E300F0C00003E300F0C00003E300F8C00001F
3260 60079800001F60079800001F6007D800000FC003F000000FC003F000000FC003F0000007
3261 8001E00000078001E00000078001E00000030000C000301E7F9C33>I<FFFC07FF80FFFC
3262 07FF800FF003FC0003F001F00001F001C00001F803800000F8030000007C060000003E0E
3263 0000001F1C0000001FB80000000FB000000007E000000003E000000001F000000003F800
3264 000007F8000000067C0000000C3E0000001C1F000000381F800000700F800000E007C000
3265 00E003E00003C003F00007C001F8001FE003FC00FFF007FFC0FFF007FFC0221D7F9C25>
3266 I E /Fm 33 122 df<000000000C000000001E000000003E000000003E000000003C0000
3267 00007C000000007C000000007800000000F800000000F800000000F000000001F0000000
3268 01F000000003E000000003E000000003C000000007C000000007C000000007800000000F
3269 800000000F800000000F000000001F000000001F000000003E000000003E000000003C00
3270 0000007C000000007C000000007800000000F800000000F800000000F000000001F00000
3271 0001F000000003E000000003E000000003C000000007C000000007C00000000780000000
3272 0F800000000F800000000F000000001F000000001F000000003E000000003E000000003C
3273 000000007C000000007C000000007800000000F800000000F800000001F000000001F000
3274 000001E000000003E000000003E000000003C000000007C000000007C000000007800000
3275 000F800000000F800000001F000000001F000000001E000000003E000000003E00000000
3276 3C000000007C000000007C000000007800000000F800000000F800000001F000000001F0
3277 00000001E000000003E000000003E000000003C000000007C000000007C0000000078000
3278 00000F800000000F800000001F000000001F000000001E000000003E000000003E000000
3279 003C000000007C000000007C000000007800000000F800000000F800000000F000000000
3280 6000000000276479CA37>47 D<000000003800000000000000007C00000000000000007C
3281 00000000000000007C0000000000000000FE0000000000000000FE0000000000000000FE
3282 0000000000000001FF0000000000000001FF0000000000000003FF8000000000000003FF
3283 8000000000000003FF8000000000000007FFC0000000000000077FC0000000000000077F
3284 C00000000000000E7FE00000000000000E3FE00000000000000E3FE00000000000001C1F
3285 F00000000000001C1FF00000000000003C1FF8000000000000380FF8000000000000380F
3286 F8000000000000780FFC0000000000007007FC0000000000007007FC000000000000E007
3287 FE000000000000E003FE000000000000E003FE000000000001C001FF000000000001C001
3288 FF000000000003C001FF8000000000038000FF8000000000038000FF8000000000078000
3289 FFC0000000000700007FC0000000000700007FC0000000000E00007FE0000000000E0000
3290 3FE0000000000E00003FE0000000001C00001FF0000000001C00001FF0000000003C0000
3291 1FF8000000003800000FF8000000003800000FF8000000007FFFFFFFFC000000007FFFFF
3292 FFFC000000007FFFFFFFFC00000000E0000007FE00000000E0000003FE00000001E00000
3293 03FF00000001C0000001FF00000001C0000001FF00000003C0000001FF80000003800000
3294 00FF8000000380000000FF8000000700000000FFC0000007000000007FC0000007000000
3295 007FC000000E000000003FE000000E000000003FE000001E000000003FF000001E000000
3296 001FF000003E000000001FF000003E000000001FF800007E000000001FF80001FF000000
3297 001FFC0007FFC00000007FFF00FFFFFC00001FFFFFFEFFFFFC00001FFFFFFEFFFFFC0000
3298 1FFFFFFE47477CC651>65 D<00000003FF00000C0000003FFFF0001C000001FFFFFC003C
3299 00000FFE007F003C00001FF0000FC07C00007F800003E0FC0001FF000000F0FC0003FC00
3300 000079FC0007F80000003FFC001FF00000001FFC003FE00000000FFC007FC000000007FC
3301 007F8000000003FC00FF0000000003FC01FE0000000001FC03FE0000000001FC03FC0000
3302 000000FC07FC0000000000FC0FF800000000007C0FF800000000007C1FF000000000003C
3303 1FF000000000003C3FF000000000003C3FF000000000003C3FE000000000001C7FE00000
3304 0000001C7FE000000000001C7FE000000000001C7FE00000000000007FC0000000000000
3305 FFC0000000000000FFC0000000000000FFC0000000000000FFC0000000000000FFC00000
3306 00000000FFC0000000000000FFC0000000000000FFC0000000000000FFC0000000000000
3307 FFC0000000000000FFC0000000000000FFC00000000000007FC00000000000007FE00000
3308 000000007FE00000000000007FE000000000001C7FE000000000001C3FE000000000001C
3309 3FF000000000001C3FF000000000001C1FF000000000003C1FF00000000000380FF80000
3310 000000380FF800000000003807FC00000000007803FC00000000007003FE0000000000F0
3311 01FE0000000000E000FF0000000001E0007F8000000001C0007FC000000003C0003FE000
3312 00000780001FF00000000F000007F80000001E000003FC0000003C000001FF0000007800
3313 00007F800001F00000001FF00007C00000000FFE007F8000000001FFFFFE00000000003F
3314 FFF0000000000003FF8000003E4879C54E>67 D<FFFFFFFFFFFFFF00FFFFFFFFFFFFFF00
3315 FFFFFFFFFFFFFF0000FFF000001FFF00007FE0000001FF80003FE00000007F80003FE000
3316 00003F80003FE00000001F80003FE00000000F80003FE00000000780003FE00000000780
3317 003FE000000003C0003FE000000003C0003FE000000003C0003FE000000001C0003FE000
3318 000001C0003FE000000001C0003FE000000001C0003FE000000001E0003FE000000000E0
3319 003FE00001C000E0003FE00001C000E0003FE00001C00000003FE00001C00000003FE000
3320 01C00000003FE00001C00000003FE00003C00000003FE00003C00000003FE00003C00000
3321 003FE00007C00000003FE0000FC00000003FE0007FC00000003FFFFFFFC00000003FFFFF
3322 FFC00000003FFFFFFFC00000003FE0007FC00000003FE0000FC00000003FE00007C00000
3323 003FE00003C00000003FE00003C00000003FE00003C00000003FE00001C00000003FE000
3324 01C00000003FE00001C00000003FE00001C00000003FE00001C00000003FE00001C00000
3325 003FE00000000000003FE00000000000003FE00000000000003FE00000000000003FE000
3326 00000000003FE00000000000003FE00000000000003FE00000000000003FE00000000000
3327 003FE00000000000003FE00000000000003FE00000000000003FE00000000000003FE000
3328 00000000003FE00000000000003FE00000000000007FF0000000000000FFF80000000000
3329 FFFFFFFF00000000FFFFFFFF00000000FFFFFFFF000000003B447BC347>70
3330 D<00000003FF800006000000003FFFF0000E00000001FFFFFE001E00000007FF003F801E
3331 0000001FF00007C03E0000007FC00001F07E000001FF000000F87E000003FC0000003CFE
3332 000007F80000001FFE00000FF00000000FFE00001FE000000007FE00003FC000000003FE
3333 00007F8000000003FE0000FF0000000001FE0001FF0000000000FE0003FE0000000000FE
3334 0003FC00000000007E0007FC00000000007E000FF800000000003E000FF800000000003E
3335 001FF800000000001E001FF000000000001E001FF000000000001E003FF000000000001E
3336 003FE000000000000E007FE000000000000E007FE000000000000E007FE000000000000E
3337 007FE0000000000000007FC000000000000000FFC000000000000000FFC0000000000000
3338 00FFC000000000000000FFC000000000000000FFC000000000000000FFC0000000000000
3339 00FFC000000000000000FFC000000000000000FFC000000000000000FFC0000000000000
3340 00FFC000000000000000FFC0000000000000007FC00000007FFFFFFC7FE00000007FFFFF
3341 FC7FE00000007FFFFFFC7FE0000000001FFF007FE00000000007FE003FE00000000003FE
3342 003FF00000000003FE001FF00000000003FE001FF00000000003FE001FF80000000003FE
3343 000FF80000000003FE000FF80000000003FE0007FC0000000003FE0003FC0000000003FE
3344 0003FE0000000003FE0001FF0000000003FE0000FF0000000003FE00007F8000000003FE
3345 00003FC000000003FE00001FE000000007FE00000FF000000007FE000007F80000000FFE
3346 000003FE0000001EFE000001FF0000003C7E0000007FC00000F83E0000001FF80003F01E
3347 00000007FF001FC00E00000001FFFFFF0006000000003FFFFC00000000000003FFC00000
3348 00464879C555>I<FFFFFFF800FFFFFFF8FFFFFFF800FFFFFFF8FFFFFFF800FFFFFFF800
3349 FFF8000000FFF800007FF00000007FF000003FE00000003FE000003FE00000003FE00000
3350 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3351 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3352 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3353 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3354 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3355 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3356 3FFFFFFFFFFFE000003FFFFFFFFFFFE000003FFFFFFFFFFFE000003FE00000003FE00000
3357 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3358 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3359 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3360 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3361 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3362 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3363 3FE00000003FE000003FE00000003FE000003FE00000003FE000003FE00000003FE00000
3364 7FF00000007FF00000FFF8000000FFF800FFFFFFF800FFFFFFF8FFFFFFF800FFFFFFF8FF
3365 FFFFF800FFFFFFF845447BC351>I<0007FFFFFFC00007FFFFFFC00007FFFFFFC0000001
3366 FFF0000000007FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3367 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3368 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3369 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3370 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3371 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3372 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE000000000
3373 3FE0000000003FE0000000003FE0000000003FE0000000003FE0000000003FE0000E0000
3374 3FE0003F80003FE0007FC0003FE000FFE0003FE000FFE0003FE000FFE0003FE000FFE000
3375 3FE000FFE0007FC000FFC0007FC0007FC0007F80007F0000FF8000780000FF00003C0001
3376 FE00001E0003FC00000F0003F8000007800FF0000001F01FC00000007FFF000000000FF8
3377 0000002A467AC338>74 D<FFFFFFF80000FFFFFCFFFFFFF80000FFFFFCFFFFFFF80000FF
3378 FFFC00FFF80000001FFFC0007FF00000000FFE00003FE000000007F800003FE000000007
3379 E000003FE00000000FC000003FE00000000F0000003FE00000001E0000003FE00000003C
3380 0000003FE0000000780000003FE0000000F00000003FE0000001E00000003FE0000007C0
3381 0000003FE000000F800000003FE000001F000000003FE000003E000000003FE000007C00
3382 0000003FE00000F8000000003FE00001F0000000003FE00003C0000000003FE000078000
3383 0000003FE0000F00000000003FE0001E00000000003FE0003C00000000003FE0007C0000
3384 0000003FE001FC00000000003FE003FE00000000003FE007FF00000000003FE00FFF8000
3385 0000003FE01FFF80000000003FE03EFFC0000000003FE07CFFE0000000003FE0F07FE000
3386 0000003FE1E03FF0000000003FE3C03FF8000000003FE7801FF8000000003FEF000FFC00
3387 0000003FFE0007FE000000003FFC0007FF000000003FF80003FF000000003FF00001FF80
3388 0000003FE00001FFC00000003FE00000FFC00000003FE000007FE00000003FE000003FF0
3389 0000003FE000003FF80000003FE000001FF80000003FE000000FFC0000003FE000000FFE
3390 0000003FE0000007FE0000003FE0000003FF0000003FE0000001FF8000003FE0000001FF
3391 C000003FE0000000FFC000003FE00000007FE000003FE00000007FF000003FE00000003F
3392 F000003FE00000001FF800003FE00000001FFC00003FE00000000FFE00003FE00000000F
3393 FF00007FF00000001FFF8000FFF80000003FFFE0FFFFFFF80003FFFFFFFFFFFFF80003FF
3394 FFFFFFFFFFF80003FFFFFF48447BC354>I<FFFFFFFF000000FFFFFFFF000000FFFFFFFF
3395 00000000FFF800000000007FF000000000003FE000000000003FE000000000003FE00000
3396 0000003FE000000000003FE000000000003FE000000000003FE000000000003FE0000000
3397 00003FE000000000003FE000000000003FE000000000003FE000000000003FE000000000
3398 003FE000000000003FE000000000003FE000000000003FE000000000003FE00000000000
3399 3FE000000000003FE000000000003FE000000000003FE000000000003FE000000000003F
3400 E000000000003FE000000000003FE000000000003FE000000000003FE000000000003FE0
3401 00000000003FE000000000003FE000000000003FE000000000003FE000000000003FE000
3402 000000003FE000000000003FE000000000003FE000000000003FE000000007003FE00000
3403 0007003FE000000007003FE000000007003FE00000000F003FE00000000E003FE0000000
3404 0E003FE00000000E003FE00000000E003FE00000000E003FE00000001E003FE00000001E
3405 003FE00000001E003FE00000003C003FE00000003C003FE00000007C003FE0000000FC00
3406 3FE0000001FC003FE0000003FC003FE0000007FC003FE000000FFC007FE000003FFC00FF
3407 F00003FFF8FFFFFFFFFFFFF8FFFFFFFFFFFFF8FFFFFFFFFFFFF838447BC344>I<FFFFFF
3408 FFFF800000FFFFFFFFFFF80000FFFFFFFFFFFF000000FFF00001FFC000007FE000003FF0
3409 00003FE000000FF800003FE0000003FC00003FE0000001FE00003FE0000000FF00003FE0
3410 000000FF80003FE00000007FC0003FE00000007FC0003FE00000007FE0003FE00000003F
3411 E0003FE00000003FE0003FE00000003FF0003FE00000003FF0003FE00000003FF0003FE0
3412 0000003FF0003FE00000003FF0003FE00000003FF0003FE00000003FF0003FE00000003F
3413 E0003FE00000003FE0003FE00000007FE0003FE00000007FC0003FE00000007F80003FE0
3414 000000FF80003FE0000000FF00003FE0000001FE00003FE0000003FC00003FE000000FF8
3415 00003FE000003FE000003FE00001FF8000003FFFFFFFFE0000003FFFFFFFF00000003FE0
3416 0000000000003FE00000000000003FE00000000000003FE00000000000003FE000000000
3417 00003FE00000000000003FE00000000000003FE00000000000003FE00000000000003FE0
3418 0000000000003FE00000000000003FE00000000000003FE00000000000003FE000000000
3419 00003FE00000000000003FE00000000000003FE00000000000003FE00000000000003FE0
3420 0000000000003FE00000000000003FE00000000000003FE00000000000003FE000000000
3421 00003FE00000000000003FE00000000000003FE00000000000003FE00000000000007FF0
3422 000000000000FFF80000000000FFFFFFF800000000FFFFFFF800000000FFFFFFF8000000
3423 003C447BC34A>80 D<0001FF8000C0000FFFF001C0003FFFFC03C000FF007F03C001F800
3424 0F87C003F00003E7C007C00001FFC00F800000FFC01F8000007FC01F0000003FC03E0000
3425 001FC03E0000001FC07E0000000FC07C0000000FC07C00000007C0FC00000007C0FC0000
3426 0003C0FC00000003C0FC00000003C0FE00000003C0FE00000001C0FF00000001C0FF0000
3427 0001C0FF80000001C07FC0000000007FE0000000007FF0000000003FFC000000003FFFC0
3428 0000001FFFFC0000000FFFFFC000000FFFFFFC000007FFFFFF800003FFFFFFE00000FFFF
3429 FFF800007FFFFFFC00001FFFFFFE000003FFFFFF0000003FFFFF80000003FFFFC0000000
3430 3FFFC000000003FFE000000000FFE0000000007FF0000000001FF0000000001FF0000000
3431 000FF80000000007F8E000000007F8E000000003F8E000000003F8E000000001F8E00000
3432 0001F8E000000001F8F000000001F8F000000001F8F000000001F0F800000001F0F80000
3433 0003F0FC00000003F0FC00000003E0FE00000007E0FF00000007C0FF8000000F80FFC000
3434 001F80FFE000003F00F8F800007E00F87F0000FC00F01FE007F000F007FFFFE000E001FF
3435 FF0000C0001FFC00002D4879C53D>83 D<3FFFFFFFFFFFFFFF003FFFFFFFFFFFFFFF003F
3436 FFFFFFFFFFFFFF003FF8000FFE0007FF003FC00007FC0000FF003F000007FC00003F007E
3437 000007FC00001F807C000007FC00000F807C000007FC00000F8078000007FC0000078078
3438 000007FC0000078078000007FC0000078070000007FC0000038070000007FC0000038070
3439 000007FC0000038070000007FC0000038070000007FC00000380E0000007FC000001C0E0
3440 000007FC000001C0E0000007FC000001C0E0000007FC000001C0E0000007FC000001C000
3441 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3442 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3443 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3444 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3445 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3446 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3447 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3448 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3449 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3450 000007FC0000000000000007FC0000000000000007FC0000000000000007FC0000000000
3451 00000FFE000000000000003FFF800000000001FFFFFFFFF000000001FFFFFFFFF0000000
3452 01FFFFFFFFF0000042437BC24E>I<00000070000000000000F8000000000000F8000000
3453 000000F8000000000001FC000000000001FC000000000003FE000000000003FE00000000
3454 0003FE000000000007FF0000000000077F0000000000077F00000000000E3F8000000000
3455 0E3F80000000001E3FC0000000001C1FC0000000001C1FC000000000380FE00000000038
3456 0FE000000000380FE0000000007007F0000000007007F000000000F007F800000000E003
3457 F800000000E003F800000001C001FC00000001C001FC00000001C001FC000000038000FE
3458 000000038000FE000000078000FF0000000700007F0000000700007F0000000FFFFFFF80
3459 00000FFFFFFF8000001FFFFFFFC000001C00001FC000001C00001FC000003C00001FE000
3460 003800000FE000003800000FE0000070000007F0000070000007F00000F0000007F80000
3461 E0000003F80001E0000003F80001E0000003FC0003F0000001FC0007F0000003FE001FF8
3462 000007FF00FFFF00007FFFF8FFFF00007FFFF8FFFF00007FFFF835357CB43D>97
3463 D<FFFFFFFF8000FFFFFFFFF000FFFFFFFFFC0003FC0003FF0001F80000FF8001F800003F
3464 C001F800003FE001F800001FE001F800000FF001F800000FF001F800000FF801F800000F
3465 F801F8000007F801F8000007F801F800000FF801F800000FF801F800000FF001F800001F
3466 F001F800001FE001F800003FC001F800007F8001F80000FF0001F80003FE0001FFFFFFF0
3467 0001FFFFFFF00001F80007FE0001F800007F8001F800001FC001F800000FF001F8000007
3468 F801F8000007FC01F8000003FC01F8000003FE01F8000001FE01F8000001FF01F8000001
3469 FF01F8000001FF01F8000001FF01F8000001FF01F8000001FF01F8000001FE01F8000003
3470 FE01F8000003FE01F8000007FC01F800000FF801F800001FF001F800003FE003FC0001FF
3471 C0FFFFFFFFFF00FFFFFFFFFC00FFFFFFFFE00030337BB23A>I<000001FF00018000001F
3472 FFF003800000FFFFFC07800003FF007E0F800007F8000F9F80001FE00003DF80003FC000
3473 01FF8000FF000000FF8001FE0000007F8003FC0000003F8003FC0000003F8007F8000000
3474 1F800FF00000000F801FF00000000F801FE000000007803FE000000007803FC000000007
3475 803FC000000007807FC000000003807FC000000003807FC00000000380FF800000000000
3476 FF800000000000FF800000000000FF800000000000FF800000000000FF800000000000FF
3477 800000000000FF800000000000FF800000000000FF800000000000FF8000000000007FC0
3478 00000000007FC000000003807FC000000003803FC000000003803FC000000003803FE000
3479 000003801FE000000007801FF000000007000FF00000000F0007F80000000E0003FC0000
3480 001E0003FC0000001C0001FE0000003C0000FF0000007800003FC00000F000001FE00003
3481 E0000007F80007C0000003FF807F00000000FFFFFC000000001FFFF00000000001FF8000
3482 0031357BB33B>I<FFFFFFFF000000FFFFFFFFF00000FFFFFFFFFC000003FE0003FF0000
3483 01FC00007F800001FC00001FE00001FC00000FF00001FC000007F80001FC000003FC0001
3484 FC000001FC0001FC000000FE0001FC0000007F0001FC0000007F0001FC0000007F8001FC
3485 0000003F8001FC0000003FC001FC0000003FC001FC0000001FE001FC0000001FE001FC00
3486 00001FE001FC0000001FE001FC0000001FF001FC0000001FF001FC0000001FF001FC0000
3487 001FF001FC0000001FF001FC0000001FF001FC0000001FF001FC0000001FF001FC000000
3488 1FF001FC0000001FF001FC0000001FE001FC0000001FE001FC0000001FE001FC0000001F
3489 E001FC0000003FC001FC0000003FC001FC0000003F8001FC0000007F8001FC0000007F00
3490 01FC000000FE0001FC000001FE0001FC000001FC0001FC000003F80001FC00000FF00001
3491 FC00001FE00001FC00007FC00003FE0003FF0000FFFFFFFFFC0000FFFFFFFFF00000FFFF
3492 FFFF00000034337BB23E>I<FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF003FE00003FF0
3493 01FC000007F801FC000001F801FC000000F801FC000000F801FC0000007801FC00000078
3494 01FC0000003801FC0000003801FC0000003801FC0000001C01FC0007001C01FC0007001C
3495 01FC0007001C01FC0007000001FC0007000001FC000F000001FC000F000001FC001F0000
3496 01FC007F000001FFFFFF000001FFFFFF000001FFFFFF000001FC007F000001FC001F0000
3497 01FC000F000001FC000F000001FC0007000001FC0007000701FC0007000701FC00070007
3498 01FC0007000E01FC0000000E01FC0000000E01FC0000000E01FC0000000E01FC0000001E
3499 01FC0000001E01FC0000003C01FC0000003C01FC0000007C01FC000000FC01FC000001FC
3500 01FC000007FC03FE00003FFCFFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF830337BB238>
3501 I<FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC003FE0000FFC001FC00001FE001FC000007
3502 E001FC000003E001FC000001E001FC000001E001FC000000E001FC000000E001FC000000
3503 E001FC000000E001FC0000007001FC0000007001FC000E007001FC000E007001FC000E00
3504 0001FC000E000001FC000E000001FC001E000001FC001E000001FC003E000001FC00FE00
3505 0001FFFFFE000001FFFFFE000001FFFFFE000001FC00FE000001FC003E000001FC001E00
3506 0001FC001E000001FC000E000001FC000E000001FC000E000001FC000E000001FC000E00
3507 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3508 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000003FF000000
3509 00FFFFFE000000FFFFFE000000FFFFFE0000002C337BB235>I<000003FF00030000001F
3510 FFE007000000FFFFF80F000003FF00FE1F00000FF8001F3F00001FE00007BF00007F8000
3511 03FF0000FF000001FF0001FE000000FF0003FC0000007F0007F80000003F0007F8000000
3512 3F000FF00000001F001FF00000001F001FE00000000F003FE00000000F003FC00000000F
3513 003FC00000000F007FC000000007007FC000000007007F800000000700FF800000000000
3514 FF800000000000FF800000000000FF800000000000FF800000000000FF800000000000FF
3515 800000000000FF800000000000FF800000000000FF800000000000FF800001FFFFF87FC0
3516 0001FFFFF87FC00001FFFFF87FC0000001FF803FC0000000FF003FC00000007F003FE000
3517 00007F001FE00000007F001FF00000007F000FF00000007F0007F80000007F0007FC0000
3518 007F0003FC0000007F0001FE0000007F0000FF000000FF00007FC00000FF00001FE00001
3519 FF00000FF80007DF000003FF803F8F000000FFFFFE070000001FFFF80300000003FF8000
3520 0035357BB340>I<FFFFF803FFFFE0FFFFF803FFFFE0FFFFF803FFFFE003FE00000FF800
3521 01FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F00001
3522 FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC
3523 000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC00
3524 0007F00001FC000007F00001FC000007F00001FC000007F00001FFFFFFFFF00001FFFFFF
3525 FFF00001FFFFFFFFF00001FC000007F00001FC000007F00001FC000007F00001FC000007
3526 F00001FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F0
3527 0001FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F000
3528 01FC000007F00001FC000007F00001FC000007F00001FC000007F00001FC000007F00001
3529 FC000007F00001FC000007F00003FE00000FF800FFFFF803FFFFE0FFFFF803FFFFE0FFFF
3530 F803FFFFE033337BB23D>I<FFFFF8FFFFF8FFFFF803FE0001FC0001FC0001FC0001FC00
3531 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00
3532 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00
3533 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00
3534 01FC0001FC0001FC0003FE00FFFFF8FFFFF8FFFFF815337BB21E>I<FFFFF8000FFFF0FF
3535 FFF8000FFFF0FFFFF8000FFFF003FE000007FF8001FC000003FC0001FC000003F00001FC
3536 000007E00001FC000007C00001FC00000F000001FC00001E000001FC00003C000001FC00
3537 0078000001FC0000F0000001FC0003E0000001FC0007C0000001FC000F80000001FC001F
3538 00000001FC003E00000001FC007C00000001FC00F000000001FC01F000000001FC03F800
3539 000001FC07FC00000001FC0FFC00000001FC1FFE00000001FC7CFF00000001FCF87F8000
3540 0001FDF07F80000001FFE03FC0000001FFC01FE0000001FF800FE0000001FE000FF00000
3541 01FC0007F8000001FC0003FC000001FC0003FC000001FC0001FE000001FC0000FF000001
3542 FC00007F000001FC00007F800001FC00003FC00001FC00001FE00001FC00001FE00001FC
3543 00000FF00001FC000007F80001FC000007FC0001FC000003FC0001FC000003FE0003FE00
3544 0007FF80FFFFF8001FFFF8FFFFF8001FFFF8FFFFF8001FFFF835337BB23F>107
3545 D<FFFFFE000000FFFFFE000000FFFFFE00000003FF0000000001FC0000000001FC000000
3546 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3547 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3548 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3549 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3550 0001FC0000000001FC000001C001FC000001C001FC000001C001FC000001C001FC000003
3551 C001FC0000038001FC0000038001FC0000038001FC0000038001FC0000078001FC000007
3552 8001FC00000F8001FC00001F8001FC00001F8001FC00007F8001FC0000FF0003FE0007FF
3553 00FFFFFFFFFF00FFFFFFFFFF00FFFFFFFFFF002A337BB233>I<FFFE000000007FFFFFFE
3554 000000007FFFFFFF00000000FFFF03FF00000000FFC001FF00000000FF8001DF80000001
3555 DF8001DF80000001DF8001CFC00000039F8001CFC00000039F8001CFC00000039F8001C7
3556 E00000071F8001C7E00000071F8001C3F000000E1F8001C3F000000E1F8001C3F000000E
3557 1F8001C1F800001C1F8001C1F800001C1F8001C0FC0000381F8001C0FC0000381F8001C0
3558 FC0000381F8001C07E0000701F8001C07E0000701F8001C03F0000E01F8001C03F0000E0
3559 1F8001C03F0000E01F8001C01F8001C01F8001C01F8001C01F8001C00FC003801F8001C0
3560 0FC003801F8001C00FC003801F8001C007E007001F8001C007E007001F8001C003F00E00
3561 1F8001C003F00E001F8001C003F00E001F8001C001F81C001F8001C001F81C001F8001C0
3562 00FC38001F8001C000FC38001F8001C000FC38001F8001C0007E70001F8001C0007E7000
3563 1F8001C0003FE0001F8001C0003FE0001F8001C0003FE0001F8003E0001FC0001F8007F0
3564 001FC0001F801FFC000F80003FC0FFFF800F800FFFFFFFFF800F800FFFFFFFFF8007000F
3565 FFFF40337BB24A>I<FFFC00003FFFE0FFFE00003FFFE0FFFE00003FFFE001FF000007FF
3566 0001FF800001FC0001FFC00000F80001FFC00000700001DFE00000700001CFF000007000
3567 01C7F00000700001C7F80000700001C3FC0000700001C1FC0000700001C1FE0000700001
3568 C0FF0000700001C07F0000700001C07F8000700001C03FC000700001C01FE000700001C0
3569 1FE000700001C00FF000700001C007F800700001C003F800700001C003FC00700001C001
3570 FE00700001C000FE00700001C000FF00700001C0007F80700001C0003FC0700001C0003F
3571 C0700001C0001FE0700001C0000FF0700001C00007F0700001C00007F8700001C00003FC
3572 700001C00001FC700001C00001FE700001C00000FF700001C000007F700001C000007FF0
3573 0001C000003FF00001C000001FF00001C000001FF00001C000000FF00001C0000007F000
3574 03E0000003F00007F0000003F0001FFC000001F000FFFF800000F000FFFF800000F000FF
3575 FF800000700033337BB23D>I<000007FF00000000003FFFE000000001FE03FC00000007
3576 F0007F0000000FC0001F8000003F80000FE000007F000007F00000FE000003F80001FC00
3577 0001FC0003F8000000FE0007F00000007F0007F00000007F000FE00000003F801FE00000
3578 003FC01FE00000003FC03FC00000001FE03FC00000001FE03FC00000001FE07FC0000000
3579 1FF07F800000000FF07F800000000FF07F800000000FF0FF800000000FF8FF800000000F
3580 F8FF800000000FF8FF800000000FF8FF800000000FF8FF800000000FF8FF800000000FF8
3581 FF800000000FF8FF800000000FF8FF800000000FF87F800000000FF07FC00000001FF07F
3582 C00000001FF03FC00000001FE03FC00000001FE03FE00000003FE01FE00000003FC01FE0
3583 0000003FC00FF00000007F8007F00000007F0007F8000000FF0003F8000000FE0001FC00
3584 0001FC0000FE000003F800007F000007F000003F80000FE000000FC0001F80000007F000
3585 7F00000001FE03FC000000003FFFE00000000007FF00000035357BB33F>I<FFFFFFFF00
3586 00FFFFFFFFF000FFFFFFFFFC0003FE0003FF0001FC00007F8001FC00003FC001FC00001F
3587 E001FC00000FF001FC00000FF001FC000007F801FC000007F801FC000007FC01FC000007
3588 FC01FC000007FC01FC000007FC01FC000007FC01FC000007FC01FC000007F801FC000007
3589 F801FC00000FF001FC00000FF001FC00001FE001FC00003FC001FC0000FF0001FC0003FE
3590 0001FFFFFFF80001FFFFFFC00001FC0000000001FC0000000001FC0000000001FC000000
3591 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3592 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
3593 0001FC0000000001FC0000000001FC0000000001FC0000000003FE00000000FFFFF80000
3594 00FFFFF8000000FFFFF80000002E337BB238>I<FFFFFFF8000000FFFFFFFF800000FFFF
3595 FFFFE0000003FE000FF8000001FC0003FE000001FC0000FF000001FC00007F800001FC00
3596 003FC00001FC00003FE00001FC00001FE00001FC00001FE00001FC00001FF00001FC0000
3597 1FF00001FC00001FF00001FC00001FF00001FC00001FF00001FC00001FE00001FC00001F
3598 E00001FC00003FC00001FC00003F800001FC00007F000001FC0000FE000001FC0003FC00
3599 0001FC001FF0000001FFFFFF80000001FFFFFC00000001FC003F00000001FC000FC00000
3600 01FC0007E0000001FC0003F0000001FC0001F8000001FC0001FC000001FC0000FC000001
3601 FC0000FE000001FC0000FE000001FC0000FE000001FC0000FF000001FC0000FF000001FC
3602 0000FF000001FC0000FF800001FC0000FF800001FC0000FF800001FC0000FF800001FC00
3603 00FFC01C01FC0000FFC01C01FC00007FC01C01FC00007FE03C03FE00003FE038FFFFF800
3604 1FF078FFFFF8000FF8F0FFFFF80003FFE000000000007F8036347BB23C>114
3605 D<000FF00180007FFE038001FFFF878007F00FEF800FC001FF801F0000FF803E00003F80
3606 3E00001F807C00001F807C00000F80F800000F80F800000780F800000780F800000780FC
3607 00000380FC00000380FE00000380FF000000007F800000007FC00000003FF80000003FFF
3608 8000001FFFFC00000FFFFFC00007FFFFF00003FFFFF80000FFFFFE00001FFFFF000003FF
3609 FF8000001FFFC0000001FFC00000003FE00000001FE00000000FE000000007F000000003
3610 F0E0000003F0E0000001F0E0000001F0E0000001F0F0000001F0F0000001F0F0000001E0
3611 F8000003E0F8000003E0FC000007C0FE00000F80FF80001F00FFE0003E00FBFE00FC00F0
3612 FFFFF800E01FFFE000C003FF000024357BB32E>I<7FFFFFFFFFFFC07FFFFFFFFFFFC07F
3613 FFFFFFFFFFC07F8007FC003FC07E0003F8000FC07C0003F80007C0780003F80003C07000
3614 03F80001C0700003F80001C0F00003F80001E0F00003F80001E0E00003F80000E0E00003
3615 F80000E0E00003F80000E0E00003F80000E0E00003F80000E0E00003F80000E0000003F8
3616 000000000003F8000000000003F8000000000003F8000000000003F8000000000003F800
3617 0000000003F8000000000003F8000000000003F8000000000003F8000000000003F80000
3618 00000003F8000000000003F8000000000003F8000000000003F8000000000003F8000000
3619 000003F8000000000003F8000000000003F8000000000003F8000000000003F800000000
3620 0003F8000000000003F8000000000003F8000000000003F8000000000003F80000000000
3621 03F8000000000003F8000000000007FC00000000000FFE000000000FFFFFFE0000000FFF
3622 FFFE0000000FFFFFFE000033327CB13B>I<FFFFF8003FFFE0FFFFF8003FFFE0FFFFF800
3623 3FFFE003FE000007FF0001FC000001FC0001FC000000F80001FC000000700001FC000000
3624 700001FC000000700001FC000000700001FC000000700001FC000000700001FC00000070
3625 0001FC000000700001FC000000700001FC000000700001FC000000700001FC0000007000
3626 01FC000000700001FC000000700001FC000000700001FC000000700001FC000000700001
3627 FC000000700001FC000000700001FC000000700001FC000000700001FC000000700001FC
3628 000000700001FC000000700001FC000000700001FC000000700001FC000000700001FC00
3629 0000700001FC000000700001FC000000700001FC000000700001FC000000700000FC0000
3630 00F00000FE000000E00000FE000000E000007E000001E000007F000003C000003F000003
3631 C000001F8000078000001FC0000F0000000FE0001E00000003F0007C00000001FE03F800
3632 0000007FFFE0000000001FFF800000000003FC00000033347BB23D>I<FFFFE007FFFF00
3633 03FFF8FFFFE007FFFF0003FFF8FFFFE007FFFF0003FFF80FFE00003FF80000FFE007FC00
3634 001FE000007F8003F800001FE000003F0003FC00000FE000001E0001FC00000FE000001E
3635 0001FC000007F000001C0001FC000007F000003C0000FE00000FF00000380000FE00000F
3636 F80000380000FF00000FF800007800007F00001FFC00007000007F00001DFC0000700000
3637 7F80001DFC0000F000003F80003DFE0000E000003F800038FE0000E000003FC00038FE00
3638 01E000001FC00078FF0001C000001FC000707F0001C000000FE000707F00038000000FE0
3639 00E03F80038000000FE000E03F800380000007F000E03F800700000007F001C01FC00700
3640 000007F001C01FC00700000003F801C01FC00E00000003F803800FE00E00000003F80380
3641 0FE00E00000001FC03800FE01C00000001FC070007F01C00000001FC070007F03C000000
3642 00FE0F0007F03800000000FE0E0003F83800000000FE0E0003F878000000007F1E0003F8
3643 70000000007F1C0001FC70000000007F9C0001FCF0000000003FBC0001FEE0000000003F
3644 B80000FEE0000000003FF80000FFE0000000001FF80000FFC0000000001FF000007FC000
3645 0000001FF000007FC0000000000FF000007F80000000000FE000003F800000000007E000
3646 003F000000000007C000001F000000000007C000001F000000000003C000001E00000000
3647 00038000000E0000004D347DB253>119 D<FFFFF000007FFF80FFFFF000007FFF80FFFF
3648 F000007FFF8003FF8000001FFC0001FF0000000FE00000FF8000000FC000007F8000000F
3649 8000003FC000001F0000003FC000001E0000001FE000003C0000000FF00000380000000F
3650 F000007800000007F80000F000000003FC0000E000000003FC0001E000000001FE0003C0
3651 00000000FF00038000000000FF000780000000007F800F00000000003FC00E0000000000
3652 3FC01E00000000001FE03C00000000000FF03800000000000FF078000000000007F8F000
3653 0000000003FCE0000000000003FDC0000000000001FFC0000000000000FF800000000000
3654 00FF000000000000007F000000000000007F000000000000007F000000000000007F0000
3655 00000000007F000000000000007F000000000000007F000000000000007F000000000000
3656 007F000000000000007F000000000000007F000000000000007F000000000000007F0000
3657 00000000007F000000000000007F000000000000007F000000000000007F000000000000
3658 00FF8000000000003FFFFE00000000003FFFFE00000000003FFFFE00000039337EB23D>
3659 121 D E /Fn 38 113 df<7FFFFFFFFFFFFFE0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF07F
3660 FFFFFFFFFFFFE03C04789A4D>0 D<1F003F807FC0FFE0FFE0FFE0FFE0FFE07FC03F801F
3661 000B0B789E1C>I<600000000006F8000000000FFC000000001F7E000000003F3F000000
3662 007E1F80000000FC0FC0000001F807E0000003F003F0000007E001F800000FC000FC0000
3663 1F80007E00003F00003F00007E00001F8000FC00000FC001F8000007E003F0000003F007
3664 E0000001F80FC0000000FC1F800000007E3F000000003F7E000000001FFC000000000FF8
3665 0000000007F00000000007F0000000000FF8000000001FFC000000003F7E000000007E3F
3666 00000000FC1F80000001F80FC0000003F007E0000007E003F000000FC001F800001F8000
3667 FC00003F00007E00007E00003F0000FC00001F8001F800000FC003F0000007E007E00000
3668 03F00FC0000001F81F80000000FC3F000000007E7E000000003FFC000000001FF8000000
3669 000F600000000006303072B04D>I<00007000000000F800000000F800000000F8000000
3670 00F800000000F800000000F800000000F800000000F80000000070000078007000F07C00
3671 7001F0FF007007F87F80700FF03FE0703FE00FF0707F8003F870FE0000FE73F800003F77
3672 E000000FFF80000003FE00000000F800000003FE0000000FFF8000003F77E00000FE73F8
3673 0003F870FE000FF0707F803FE0703FE07F80700FF0FF007007F87C007001F078007000F0
3674 00007000000000F800000000F800000000F800000000F800000000F800000000F8000000
3675 00F800000000F800000000700000252B7AAD32>I<00000000C00000000000000001E000
3676 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3677 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3678 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3679 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3680 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3681 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3682 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3683 00000000000001E0000000007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFF
3684 FFFFC07FFFFFFFFFFFFFFF8000000001E00000000000000001E00000000000000001E000
3685 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3686 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3687 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3688 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3689 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3690 00000000000001E00000000000000001E00000000000000001E00000000000000001E000
3691 0000007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFFFF
3692 FFFF8042427BC14D>6 D<7FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFF
3693 FFC07FFFFFFFFFFFFFFF8000000001E00000000000000001E00000000000000001E00000
3694 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3695 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3696 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3697 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3698 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3699 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3700 00007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFFFFFF
3701 FF8000000001E00000000000000001E00000000000000001E00000000000000001E00000
3702 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3703 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3704 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3705 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3706 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3707 000000000001E00000000000000001E00000000000000001E00000000000000001E00000
3708 000000000001E00000000000000001E00000000000000000C00000000042427BB14D>I<
3709 0000001FFE00000000000001FFFFE000000000000FFFFFFC00000000003FF003FF000000
3710 0000FF00003FC000000001F8000007E000000007E0000001F80000000F800000007C0000
3711 001F000000003E0000003C000000000F000000780000000007800000FC0000000007C000
3712 01FE000000000FE00003CF000000001EF0000387800000003C70000783C0000000787800
3713 0F01E0000000F03C000E00F0000001E01C001E0078000003C01E001C003C000007800E00
3714 3C001E00000F000F0038000F00001E00070038000780003C000700780003C00078000780
3715 700001E000F0000380700000F001E00003807000007803C0000380F000003C07800003C0
3716 E000001E0F000001C0E000000F1E000001C0E0000007BC000001C0E0000003F8000001C0
3717 E0000001F0000001C0E0000001F0000001C0E0000003F8000001C0E0000007BC000001C0
3718 E000000F1E000001C0E000001E0F000001C0F000003C07800003C07000007803C0000380
3719 700000F001E0000380700001E000F0000380780003C0007800078038000780003C000700
3720 38000F00001E0007003C001E00000F000F001C003C000007800E001E0078000003C01E00
3721 0E00F0000001E01C000F01E0000000F03C000783C00000007878000387800000003C7000
3722 03CF000000001EF00001FE000000000FE00000FC0000000007C000007800000000078000
3723 003C000000000F0000001F000000003E0000000F800000007C00000007E0000001F80000
3724 0001F8000007E000000000FF00003FC0000000003FF003FF00000000000FFFFFFC000000
3725 000001FFFFE00000000000001FFE0000000042427BB94D>10 D<0000000003FFE0000000
3726 0000000000007FFFFF000000000000000003FFFFFFE0000000000000000FFFFFFFF80000
3727 00000000007FFE003FFF00000000000000FFC00001FF80000000000003FE0000003FE000
3728 000000000FF80000000FF800000000001FC000000001FC00000000003F8000000000FE00
3729 00000000FE00000000003F8000000001FC00000000001FC000000003F0000000000007E0
3730 00000007E0000000000003F00000000FC0000000000001F80000001F80000000000000FC
3731 0000003F000000000000007E0000007E000000000000003F0000007C000000000000001F
3732 000000F8000000000000000F800001F8000000000000000FC00001F00000000000000007
3733 C00003E00000000000000003E00003E00000000000000003E00007C00000000000000001
3734 F0000FC00000000000000001F8000F800000000000000000F8000F000000000000000000
3735 78001F0000000000000000007C001F0000000000000000007C003E000000000000000000
3736 3E003E0000000000000000003E003C0000000000000000001E003C000000000000000000
3737 1E007C0000000000000000001F007C0000000000000000001F0078000000000000000000
3738 0F00780000000000000000000F00F80000000000000000000F80F8000000000000000000
3739 0F80F00000000000000000000780F00000000000000000000780F0000000000000000000
3740 0780F00000000000000000000780F00000000000000000000780F0000000000000000000
3741 0780F00000000000000000000780F00000000000000000000780F0000000000000000000
3742 0780F00000000000000000000780F00000000000000000000780F0000000000000000000
3743 0780F80000000000000000000F80F80000000000000000000F8078000000000000000000
3744 0F00780000000000000000000F007C0000000000000000001F007C000000000000000000
3745 1F003C0000000000000000001E003C0000000000000000001E003E000000000000000000
3746 3E003E0000000000000000003E001F0000000000000000007C001F000000000000000000
3747 7C000F00000000000000000078000F800000000000000000F8000FC00000000000000001
3748 F80007C00000000000000001F00003E00000000000000003E00003E00000000000000003
3749 E00001F00000000000000007C00001F8000000000000000FC00000F8000000000000000F
3750 8000007C000000000000001F0000007E000000000000003F0000003F000000000000007E
3751 0000001F80000000000000FC0000000FC0000000000001F800000007E0000000000003F0
3752 00000003F0000000000007E000000001FC00000000001FC000000000FE00000000003F80
3753 000000003F8000000000FE00000000001FC000000001FC00000000000FF80000000FF800
3754 0000000003FE0000003FE0000000000000FFC00001FF800000000000007FFE003FFF0000
3755 00000000000FFFFFFFF80000000000000003FFFFFFE000000000000000007FFFFF000000
3756 00000000000003FFE00000000000595C7BC664>13 D<0001FF0000000FFFE000003FFFF8
3757 00007FFFFC0001FFFFFF0003FFFFFF8007FFFFFFC00FFFFFFFE01FFFFFFFF01FFFFFFFF0
3758 3FFFFFFFF87FFFFFFFFC7FFFFFFFFC7FFFFFFFFCFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFF
3759 FFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFE7FFF
3760 FFFFFC7FFFFFFFFC7FFFFFFFFC3FFFFFFFF81FFFFFFFF01FFFFFFFF00FFFFFFFE007FFFF
3761 FFC003FFFFFF8001FFFFFF00007FFFFC00003FFFF800000FFFE0000001FF000027267BAB
3762 32>15 D<7FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFF
3763 FFFFFF800000000000000000000000000000000000000000000000000000000000000000
3764 000000000000000000000000000000000000000000000000000000000000000000000000
3765 000000000000000000000000000000000000000000000000000000000000000000000000
3766 000000000000000000000000000000000000000000000000000000000000000000000000
3767 000000007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFF
3768 FFFFFF800000000000000000000000000000000000000000000000000000000000000000
3769 000000000000000000000000000000000000000000000000000000000000000000000000
3770 000000000000000000000000000000000000000000000000000000000000000000000000
3771 000000000000000000000000000000000000000000000000000000000000000000000000
3772 000000007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFC07FFFFFFFFF
3773 FFFFFF80422C7BAE4D>17 D<00000000000000E000000000000003F00000000000000FF0
3774 0000000000003FE0000000000000FF80000000000003FE0000000000000FF80000000000
3775 003FE0000000000000FF80000000000003FE0000000000000FF80000000000003FE00000
3776 00000000FF80000000000003FE0000000000001FF80000000000007FE0000000000001FF
3777 80000000000007FE0000000000001FF00000000000007FC0000000000001FF0000000000
3778 0007FC0000000000001FF00000000000007FC0000000000001FF00000000000007FC0000
3779 000000001FF00000000000007FC0000000000000FF00000000000000FF00000000000000
3780 7FC00000000000001FF000000000000007FC00000000000001FF000000000000007FC000
3781 00000000001FF000000000000007FC00000000000001FF000000000000007FC000000000
3782 00001FF000000000000007FC00000000000001FF800000000000007FE00000000000001F
3783 F800000000000007FE00000000000000FF800000000000003FE00000000000000FF80000
3784 0000000003FE00000000000000FF800000000000003FE00000000000000FF80000000000
3785 0003FE00000000000000FF800000000000003FE00000000000000FF000000000000003F0
3786 00000000000000E000000000000000000000000000000000000000000000000000000000
3787 000000000000000000000000000000000000000000000000000000000000000000000000
3788 000000000000000000000000000000000000000000000000000000000000000000000000
3789 000000000000000000000000000000000000000000000000000000007FFFFFFFFFFFFFE0
3790 FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF07FFFFFFFFFFFFFE03C4E78BE4D>20
3791 D<7000000000000000FC00000000000000FF000000000000007FC00000000000001FF000
3792 000000000007FC00000000000001FF000000000000007FC00000000000001FF000000000
3793 000007FC00000000000001FF000000000000007FC00000000000001FF000000000000007
3794 FC00000000000001FF800000000000007FE00000000000001FF800000000000007FE0000
3795 0000000000FF800000000000003FE00000000000000FF800000000000003FE0000000000
3796 0000FF800000000000003FE00000000000000FF800000000000003FE00000000000000FF
3797 800000000000003FE00000000000000FF00000000000000FF00000000000003FE0000000
3798 000000FF80000000000003FE0000000000000FF80000000000003FE0000000000000FF80
3799 000000000003FE0000000000000FF80000000000003FE0000000000000FF800000000000
3800 03FE0000000000001FF80000000000007FE0000000000001FF80000000000007FE000000
3801 0000001FF00000000000007FC0000000000001FF00000000000007FC0000000000001FF0
3802 0000000000007FC0000000000001FF00000000000007FC0000000000001FF00000000000
3803 007FC0000000000000FF00000000000000FC000000000000007000000000000000000000
3804 000000000000000000000000000000000000000000000000000000000000000000000000
3805 000000000000000000000000000000000000000000000000000000000000000000000000
3806 000000000000000000000000000000000000000000000000000000000000000000000000
3807 00000000000000000000000000000000007FFFFFFFFFFFFFE0FFFFFFFFFFFFFFF0FFFFFF
3808 FFFFFFFFF07FFFFFFFFFFFFFE03C4E78BE4D>I<0007F0000000000080001FFE00000000
3809 01C0007FFF8000000001C000FFFFE000000001C001FFFFF000000001C003FFFFF8000000
3810 01C007F80FFC00000001C00FE001FE00000003C01F80007F00000003801F00001FC00000
3811 03803E00000FE0000007803C000007F00000070038000003F800000F0078000001FC0000
3812 1F0070000000FE00003E00700000003F80007E00F00000001FE001FC00E00000000FFC07
3813 F800E000000007FFFFF000E000000003FFFFE000E000000001FFFFC000E0000000007FFF
3814 8000E0000000001FFE0000400000000003F8000042187BA44D>24
3815 D<0007F8000000000080003FFF0000000001C000FFFFC000000001C001FFFFF000000001
3816 C003FFFFF800000001C007FFFFFE00000001C00FF807FF00000003C01FC000FFC0000003
3817 803F00003FE0000007803E00000FF800000F807C000007FC00001F0078000001FF00003F
3818 0070000000FFC000FE00F00000003FF807FC00E00000001FFFFFF800E000000007FFFFF0
3819 00E000000003FFFFE000E000000000FFFFC000E0000000003FFF0000400000000007F800
3820 000000000000000000000000000000000000000000000000000000000000000000000000
3821 000007F8000000000080003FFF0000000001C000FFFFC000000001C001FFFFF000000001
3822 C003FFFFF800000001C007FFFFFE00000001C00FF807FF00000003C01FC000FFC0000003
3823 803F00003FE0000007803E00000FF800000F807C000007FC00001F0078000001FF00003F
3824 0070000000FFC000FE00F00000003FF807FC00E00000001FFFFFF800E000000007FFFFF0
3825 00E000000003FFFFE000E000000000FFFFC000E0000000003FFF0000400000000007F800
3826 00422C7BAF4D>I<00000000000000C00000030000000000000003E000000F8000000000
3827 00000FE000003F800000000000003FC00000FF00000000000000FF800003FE0000000000
3828 0003FE00000FF800000000000007F800001FE00000000000001FE000007F800000000000
3829 007F800001FE00000000000001FE000007F800000000000007FC00001FF0000000000000
3830 1FF000007FC00000000000003FC00000FF00000000000000FF000003FC00000000000003
3831 FC00000FF00000000000000FF000003FC00000000000003FE00000FF80000000000000FF
3832 800003FE00000000000001FE000007F800000000000007F800001FE00000000000001FE0
3833 00007F800000000000007F800001FE00000000000001FF000007FC00000000000007FC00
3834 001FF00000000000000FF000003FC00000000000003FC00000FF00000000000000FF0000
3835 03FC00000000000003FC00000FF00000000000000FF800003FE00000000000003FE00000
3836 FF800000000000007F800001FE00000000000000FE000003F800000000000000FE000003
3837 F8000000000000007F800001FE000000000000003FE00000FF800000000000000FF80000
3838 3FE000000000000003FC00000FF000000000000000FF000003FC000000000000003FC000
3839 00FF000000000000000FF000003FC000000000000007FC00001FF000000000000001FF00
3840 0007FC000000000000007F800001FE000000000000001FE000007F8000000000000007F8
3841 00001FE000000000000001FE000007F800000000000000FF800003FE000000000000003F
3842 E00000FF800000000000000FF000003FC000000000000003FC00000FF000000000000000
3843 FF000003FC000000000000003FC00000FF000000000000001FF000007FC0000000000000
3844 07FC00001FF000000000000001FE000007F8000000000000007F800001FE000000000000
3845 001FE000007F8000000000000007F800001FE000000000000003FE00000FF80000000000
3846 0000FF800003FE000000000000003FC00000FF000000000000000FE000003F8000000000
3847 000003E000000F8000000000000000C00000030059407BB864>28
3848 D<600000018000000000000000F8000003E000000000000000FE000003F8000000000000
3849 007F800001FE000000000000003FE00000FF800000000000000FF800003FE00000000000
3850 0003FC00000FF000000000000000FF000003FC000000000000003FC00000FF0000000000
3851 00000FF000003FC000000000000007FC00001FF000000000000001FF000007FC00000000
3852 0000007F800001FE000000000000001FE000007F8000000000000007F800001FE0000000
3853 00000001FE000007F800000000000000FF800003FE000000000000003FE00000FF800000
3854 000000000FF000003FC000000000000003FC00000FF000000000000000FF000003FC0000
3855 00000000003FC00000FF000000000000001FF000007FC000000000000007FC00001FF000
3856 000000000001FE000007F8000000000000007F800001FE000000000000001FE000007F80
3857 00000000000007F800001FE000000000000003FE00000FF800000000000000FF800003FE
3858 000000000000003FC00000FF000000000000000FE000003F800000000000000FE000003F
3859 800000000000003FC00000FF00000000000000FF800003FE00000000000003FE00000FF8
3860 00000000000007F800001FE00000000000001FE000007F800000000000007F800001FE00
3861 000000000001FE000007F800000000000007FC00001FF00000000000001FF000007FC000
3862 00000000003FC00000FF00000000000000FF000003FC00000000000003FC00000FF00000
3863 000000000FF000003FC00000000000003FE00000FF80000000000000FF800003FE000000
3864 00000001FE000007F800000000000007F800001FE00000000000001FE000007F80000000
3865 0000007F800001FE00000000000001FF000007FC00000000000007FC00001FF000000000
3866 00000FF000003FC00000000000003FC00000FF00000000000000FF000003FC0000000000
3867 0003FC00000FF00000000000000FF800003FE00000000000003FE00000FF800000000000
3868 007F800001FE00000000000000FE000003F800000000000000F8000003E0000000000000
3869 0060000001800000000000000059407BB864>I<0000000000000000F000000000000000
3870 00000000F00000000000000000000000F00000000000000000000000F800000000000000
3871 000000007800000000000000000000007800000000000000000000007C00000000000000
3872 000000003C00000000000000000000003C00000000000000000000003E00000000000000
3873 000000001E00000000000000000000001F00000000000000000000000F80000000000000
3874 000000000F800000000000000000000007C00000000000000000000003E0000000000000
3875 0000000003F00000000000000000000001F80000000000000000000000FC000000000000
3876 00000000007E00000000000000000000003F00000000000000000000001F800000000000
3877 00000000000FE00000000000000000000003F8007FFFFFFFFFFFFFFFFFFFFE00FFFFFFFF
3878 FFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFFFFFFFE0000000000
3879 000000000003F8000000000000000000000FE0000000000000000000001F800000000000
3880 00000000003F00000000000000000000007E0000000000000000000000FC000000000000
3881 0000000001F80000000000000000000003F00000000000000000000003E0000000000000
3882 0000000007C0000000000000000000000F80000000000000000000000F80000000000000
3883 000000001F00000000000000000000001E00000000000000000000003E00000000000000
3884 000000003C00000000000000000000003C00000000000000000000007C00000000000000
3885 00000000780000000000000000000000780000000000000000000000F800000000000000
3886 00000000F00000000000000000000000F00000000000000000000000F000000059347BB2
3887 64>33 D<0000078000000000F00000000000078000000000F00000000000078000000000
3888 F000000000000F8000000000F800000000000F00000000007800000000000F0000000000
3889 7800000000001F00000000007C00000000001E00000000003C00000000001E0000000000
3890 3C00000000003E00000000003E00000000003C00000000001E00000000007C0000000000
3891 1F0000000000F800000000000F8000000000F800000000000F8000000001F00000000000
3892 07C000000003E0000000000003E000000007E0000000000003F00000000FC00000000000
3893 01F80000001F80000000000000FC0000003F000000000000007E0000007E000000000000
3894 003F000000FC000000000000001F800003F8000000000000000FE0000FE0000000000000
3895 0003F8003FFFFFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF
3896 FFFFFF803FFFFFFFFFFFFFFFFFFFFE000FE00000000000000003F80003F8000000000000
3897 000FE00000FC000000000000001F8000007E000000000000003F0000003F000000000000
3898 007E0000001F80000000000000FC0000000FC0000000000001F800000007E00000000000
3899 03F000000003E0000000000003E000000001F0000000000007C000000000F80000000000
3900 0F8000000000F800000000000F80000000007C00000000001F00000000003C0000000000
3901 1E00000000003E00000000003E00000000001E00000000003C00000000001E0000000000
3902 3C00000000001F00000000007C00000000000F00000000007800000000000F0000000000
3903 7800000000000F8000000000F80000000000078000000000F00000000000078000000000
3904 F00000000000078000000000F000000059347BB264>36 D<0007F8000000000080003FFF
3905 0000000001C000FFFFC000000001C001FFFFE000000001C003FFFFF800000001C007FFFF
3906 FC00000001C00FF807FF00000003C01FC000FF80000003801F00003FC0000007803E0000
3907 1FF0000007803C000007F800000F0078000003FE00001F0078000000FF00003E00700000
3908 007FC000FE00F00000003FF807FC00E00000000FFFFFF800E000000007FFFFF000E00000
3909 0001FFFFE000E000000000FFFFC000E0000000003FFF0000400000000007F80000000000
3910 000000000000000000000000000000000000000000000000000000000000000000000000
3911 000000000000000000000000000000000000000000000000000000000000000000000000
3912 000000000000000000000000000000000000000000000000000000000000000000000000
3913 000000000000000000000000000000000000000000000000000000000000000000000000
3914 0000000000000000000000000000007FFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFC0FFFFFF
3915 FFFFFFFFFFC07FFFFFFFFFFFFFFF80422B7BAD4D>39 D<00000000000003000000000000
3916 000000000007800000000000000000000007C00000000000000000000003C00000000000
3917 000000000003E00000000000000000000001E00000000000000000000001F00000000000
3918 000000000000F800000000000000000000007800000000000000000000007C0000000000
3919 0000000000003E00000000000000000000001F00000000000000000000000F8000000000
3920 0000000000000FC00000000000000000000007E00000000000000000000003F00000007F
3921 FFFFFFFFFFFFFFF8000000FFFFFFFFFFFFFFFFFC000000FFFFFFFFFFFFFFFFFE0000007F
3922 FFFFFFFFFFFFFFFF00000000000000000000000FC00000000000000000000007E0000000
3923 0000000000000003F80000000000000000000000FE00000000000000000000007F800000
3924 00000000000000001FE00000000000000000000007FC0000000000000000000001FF8000
3925 000000000000000001FF8000000000000000000007FC000000000000000000001FE00000
3926 00000000000000007F8000000000000000000000FE0000000000000000000003F8000000
3927 0000000000000007E0000000000000000000000FC000007FFFFFFFFFFFFFFFFF000000FF
3928 FFFFFFFFFFFFFFFE000000FFFFFFFFFFFFFFFFFC0000007FFFFFFFFFFFFFFFF800000000
3929 00000000000003F00000000000000000000007E0000000000000000000000FC000000000
3930 0000000000000F80000000000000000000001F00000000000000000000003E0000000000
3931 0000000000007C0000000000000000000000780000000000000000000000F80000000000
3932 000000000001F00000000000000000000001E00000000000000000000003E00000000000
3933 000000000003C00000000000000000000007C00000000000000000000007800000000000
3934 000000000003000000000059387BB464>41 D<0003FC000000001FC0001FFF80000000FF
3935 C0007FFFE0000003FFC000FFFFF800000FE00001F81FFC00003F000003C003FF00007C00
3936 00078001FF8000F800000F00007FC001F000001E00003FE003E000001C00001FF007C000
3937 003800000FF00F8000003800000FF80F00000030000007FC1E00000070000003FE3E0000
3938 0060000001FE3C00000060000001FF7800000060000000FF78000000E00000007FF00000
3939 00C00000007FF0000000C00000003FE0000000C00000003FE0000000C00000001FF00000
3940 00C00000000FF0000000C00000000FF8000000C000000007FC000000C000000007FC0000
3941 00C00000000FFE000000E00000000FFE000000600000001EFF000000600000001EFF8000
3942 00600000003C7F800000700000007C7FC0000030000000783FE0000030000000F01FF000
3943 0038000001F00FF000001C000003E00FF800001C000007C007FC00000E00000F8003FE00
3944 000700001F0001FF80000780003E0000FFC00003C000FC00003FF80001F007F000001FFF
3945 C0007FFFC0000007FFC0001FFF00000001FFC00007F8000000003FC0422D7BAB4D>47
3946 D<0001FF00000000003FC00000000FFFE000000003FFF80000003FFFFC0000000FFFFE00
3947 00007FFFFF0000003FE01F000001FFFFFF8000007E0007C00003F803FFE00001F80001E0
3948 0007E0007FF00003F00000F0000780003FF80007C0000070000F00001FFC000F80000038
3949 001E000007FE001F0000001C001C000003FF003E0000000C0038000001FF807C0000000E
3950 0038000001FFC0F8000000060070000000FFE0F80000000700700000007FF1F000000007
3951 00600000003FF3E00000000300600000001FFBC00000000300E00000001FFFC000000003
3952 80C00000000FFF800000000180C000000007FF000000000180C000000003FF0000000001
3953 80C000000001FF800000000180C000000001FFC00000000180C000000000FFC000000001
3954 80C0000000007FE00000000180C0000000007FF00000000180C000000000FFF800000001
3955 80E000000001FFFC00000003806000000001EFFC00000003006000000003E7FE00000003
3956 007000000007C7FF0000000700700000000F83FF8000000700300000000F81FFC000000E
3957 00380000001F00FFC000000E00180000003E007FE000001C001C0000007C003FF000003C
3958 000E000000F8001FFC0000780007000001F0000FFE0000F00007800007E00007FF0003F0
3959 0003C0000FC00003FFE00FE00001F0003F000000FFFFFFC000007C03FE0000007FFFFF00
3960 00003FFFF80000001FFFFE0000000FFFE000000003FFF800000001FE00000000007FC000
3961 00592D7BAB64>49 D<00000000000600000000000F00000000001F00000000001F000000
3962 00003E00000000003E00000000007C00000000007C0000000000F80000000000F8000000
3963 0001F00000000001F00000000003E00000000003E00000000007C00000000007C0000000
3964 000F80000000000F80000000001F00000000001F00000000003E00000000003E00000000
3965 007C00000000007C0000000000F80000000000F80000000001F00000000001F000000000
3966 03E00000000003E00000000007C00000000007C0000000000F80000000000F8000000000
3967 1F00000000001F00000000003E00000000003E00000000007C00000000007C0000000000
3968 F80000000000F80000000001F00000000001F00000000003E00000000003E00000000007
3969 C00000000007C0000000000F80000000000F80000000001F00000000001F00000000003E
3970 00000000003E00000000007C00000000007C0000000000F80000000000F80000000001F0
3971 0000000001F00000000003E00000000003E00000000007C00000000007C0000000000F80
3972 000000000F80000000001F00000000001F00000000003E00000000003E00000000007C00
3973 000000007C0000000000F80000000000F80000000001F00000000001F00000000003E000
3974 00000003E00000000007C00000000007C0000000000F80000000000F80000000001F0000
3975 0000001F00000000003E00000000003E00000000007C00000000007C0000000000F80000
3976 000000F80000000000F00000000000600000000000305C72C600>54
3977 D<000000000007F00000007F000000FFF8000001FFC00007FFF8000007C1F0001FFFFC00
3978 000F00F8007F0FFC00001E00FC01F80FFE00001C007E03E007FE00003C003F078007FF00
3979 0038003F8F0003FF000078001F9E0003FF800078001FFC0001FF800078001FF80001FFC0
3980 0078001FF80000FFC00078000FF000007FE00078000FF000007FF00078000FF000003FF0
3981 003C000FF000003FF8003E000FF000001FF8001F000FF800001FFC001F800FF800000FFC
3982 000FC00FF800000FFE0007E00FF8000007FE0003F00FF8000007FF0001F00FF8000003FF
3983 0000F80FF8000003FF80007C0FF8000001FF80003C0FFC000000FFC0003C0FFC000000FF
3984 C0001E0FFC0000007F00001E0FFC000000FC00001E0FFC000003F000001E0FFC00000FE0
3985 00001E0FFC00003F8000001E0FFC0000FE0000001E0FFFFFFFF80000001E0FFFFFFFC000
3986 00001E0FFFFFFFC00000001E0FFC007FC00000701E0FFC007FC00000701C0FFC007FC000
3987 00701C0FFC007FC00000703C0FFC007FC0000078380FFC007FC0000038380FFC007FC000
3988 003C700FFC007FC000001FE00FFC007FC0000007800FF8007FC0000000000FF8007FC000
3989 0000000FF8007FC0000000000FF8007FE0000000000FF8003FE0000000000FF8003FE000
3990 0000000FF8003FE0000000000FF8003FE0000000000FF8003FE0000000000FF8003FE000
3991 0000000FF0003FE0000000000FF0003FE0000038000FF0003FE000003B000FF0003FE000
3992 003F000FE0003FE000007C000FE0003FE00000FC000FE0003FE000001E000FC0003FE000
3993 000E001FC0003FE007800F001F80003FF00F8007001F80001FF01F0007803F00001FF83C
3994 0003C03E00000FFCF80001E07C000007FFE00000F078000003FFC000003FF0000000FF80
3995 00000FC00000003E000042497CC648>60 D<00000003FFFFFFFFC0000000FFFFFFFFFFC0
3996 00000FFFFFFFFFFF8000003FFFFFFFFFFF000001FFFFFFFFFFFC000003FFFFFFFFFFF000
3997 000FFC0000FC000000001F800001F8000000003F000003F8000000007E000007F0000000
3998 00FE000007F000000001FE00000FE000000001FC00000FE000000003F800001FC0000000
3999 03E000001FC000000003C000003FC0000000000000003F80000000000000007F80000000
4000 000000007F80000000000000007F0000000000000000FF0000000000000000FF00000000
4001 00000000FF0000000000000001FE0000000000000001FE0000000000000001FE00000000
4002 00000001FC0000000000000003FC0000000000000003FC0000000000000003FC00000000
4003 00000007F80000000000000007F80000000000000007F80000000000000007F800000000
4004 0000000FF0000000000000000FF0000000000000000FF0000000000000000FF000000000
4005 0000001FE0000000000000001FE0000000000000001FE0000000000000001FE000000000
4006 0000003FC0000000000000003FC0000000000000003FC0000000000000003F8000000000
4007 0000007F80000000000000007F80000000000000007F0000000000000000FF0000000000
4008 000000FF0000000000000000FE0000000000000001FE0000000000000001FC0000000000
4009 000001FC0000000000000003F80000070000000003F000001F0000000007F000003F0000
4010 000007E000007E000000000FC00000FC000000001F800001F8000000001F000001F00000
4011 01FFFFFFFFFFE000000FFFFFFFFFFF8000001FFFFFFFFFFF0000003FFFFFFFFFFC000000
4012 7FFFFFFFFFE0000000FFFFFFFFFF00000000424483C336>73 D<000000000007F8000000
4013 0000003FFE000000000001FFFF000000000007FFFF80000000001FFFFF80000000003FFF
4014 FFC0000000007E1FFFC000000001F807FFC000000003F003FFC000000007E001FFC00000
4015 000FE001FFC00000001FC000FFC00000003F8000FFC00000003F8000FFC00000007F0000
4016 FF80000000FF0000FF00000000FE0000FC00000001FE0000F800000001FC0000C0000000
4017 03FC00000000000003F800000000000007F800000000000007F80000000000000FF00000
4018 000000000FF00000000000001FF00000000000001FE00000000000001FE0000000000000
4019 3FE00000000000003FC00000000000003FC00000000000007FC00000000000007F800000
4020 000000007F80000000000000FF80000000000000FF80000000000000FF00000000000001
4021 FF00000000000001FF00000000000001FF00000000000001FE00000000000003FE000000
4022 00000003FE00000000000003FE00000000000003FC00000000000007FC00000000000007
4023 FC00000000000007F800000000000007F80000000000000FF80000000000000FF0000000
4024 0000000FF00000000000001FE00000000000001FE00000000000001FE00000000000003F
4025 C0000000000C003FC0000000007C007F8000000000F8007F0000000003F8007F00000000
4026 07F800FFFF8000000FF001FFFFF800000FF001FFFFFF80001FE003FFFFFFF0001FC003FF
4027 FFFFFF001F8007FFFFFFFFF03F000FE1FFFFFFFFFC001FC01FFFFFFFF8003F8001FFFFFF
4028 F0007E00003FFFFFC0007C000003FFFE0000F00000003FF800003E487DC545>76
4029 D<0000000003800000000000000060000000000F8000000000000000E0000000001F8000
4030 000000000001E0000000003FC000000000000001E0000000007FC000000000000003C000
4031 0000007FC000000000000007C0000000007FC00000000000000FC0000000007FC0000000
4032 0000001FC0000000007FE00000000000003FC000000000FFE00000000000003FC0000000
4033 00FFE00000000000007F8000000000FFE0000000000000FF8000000000FFE00000000000
4034 01FF8000000000FFE0000000000003FF8000000000FFF0000000000007FF8000000001FF
4035 F0000000000007FF8000000001FFF000000000000FFF0000000001FFF000000000001FFF
4036 0000000001CFF800000000003FFF0000000001CFF800000000007EFF0000000003CFF800
4037 00000000FDFF0000000003CFF80000000000F9FF0000000003C7F80000000001F9FE0000
4038 00000387FC0000000003F1FE000000000387FC0000000007E1FE000000000787FC000000
4039 000FC1FE000000000787FC000000001F83FE000000000703FE000000003F03FE00000000
4040 0703FE000000003F03FE000000000F03FE000000007E03FC000000000E03FE00000000FC
4041 03FC000000000E01FF00000001F803FC000000001E01FF00000003F003FC000000001C01
4042 FF00000007E007FC000000001C01FF0000000FC007FC000000003C00FF8000000FC007FC
4043 000000003C00FF8000001F8007FC000000003800FF8000003F0007F8000000003800FF80
4044 00007E0007F80000000078007FC00000FC0007F80000000070007FC00001F80007F80000
4045 000070007FC00003F0000FF800000000E0007FC00007F0000FF800000000E0003FE0000F
4046 E0000FF800000001E0003FE0000FC0000FF800000001C0003FE0001F80000FF800000001
4047 C0003FF0003F00000FF800000003C0001FF0007E00000FF00000000380001FF000FC0000
4048 0FF00000000380001FF801F800000FF00000000700000FF803F000000FF0000000070000
4049 0FFC07F000001FF00000000F00000FFC0FE000001FF00000000E000007FC1FC000001FF0
4050 0000000E000007FE3F8000001FF00000001C000003FE7F0000001FF00000001C000003FF
4051 FE0000001FF00000003C000003FFFC0000001FF000000038000001FFF80000001FF00000
4052 0078000001FFF00000001FF000000070000000FFE00000001FF0000000F0000000FFC000
4053 00001FF0001001E00000007F800000001FF0003801E00000007F000000001FF0007C03C0
4054 0000003E000000001FF0007F87C00000001C000000001FF030FFFF800000001800000000
4055 1FF8F0FFFF8000000000000000001FFFE0FFFF0000000000000000001FFFC0FFFE000000
4056 0000000000001FFF80FFFE0000000000000000000FFE00FFFC0000000000000000000FF8
4057 007FF800000000000000000007C0003FF000000000000000000000000007E00000000000
4058 000000000000006C4B7DC578>I<00000000000000000000000FE0000000000000000000
4059 0000FFE00000000000000000000003FFE0000000000000000000000FFFE0000000000000
4060 000000001FFFE0000000000000000000003FFFE0000000000000000000007FFFC0000000
4061 001E00000000007FFFC0000000007E0000000000FFFF8000000000FE0000000000FFC000
4062 00000001FE0000000001FC000000000001FF0000000001F0000000000001FF0000000001
4063 C0000000000003FF000000000380000000000003FF800000000380000000000003FF8000
4064 00000780000000000003FF800000000700000000000003FFC00000000700000000000003
4065 FFC00000000F00000000000003FFC00000000E00000000000003FFC00000000E00000000
4066 000007BFE00000001E00000000000007BFE00000001E00000000000007BFE00000001C00
4067 000000000007BFF00000001C000000000000071FF00000003C000000000000071FF00000
4068 00380000000000000F1FF8000000380000000000000F0FF8000000780000000000000F0F
4069 F8000000780000000000000F0FFC000000700000000000000E07FC000000700000000000
4070 000E07FC000000F00000000000001E07FE000000E00000000000001E03FE000000E00000
4071 000000001C03FE000001E00000000000001C03FF000001E00000000000003C01FF000001
4072 C00000000000003C01FF000001C00000000000003C01FF800003C00000000000003800FF
4073 800003800000000000003800FF800003800000000000007800FFC0000780000000000000
4074 78007FC000078000000000000070007FC000070000000000000070007FE0000700000000
4075 000000F0003FE0000F00000000000000E0003FF0000F00000000000000E0003FF0000E00
4076 000000000001E0001FF0000E00000000000001E0001FF8001E00000000000001C0000FF8
4077 001E00000000000001C0000FF8001C00000000000003C0000FFC001C0000000000000380
4078 0007FC003C00000000000003800007FE003C00000000000007800007FE00380000000000
4079 0007000003FE003800000000000007000003FF00780000000000000F000001FF00780000
4080 000000000E000001FF80700000000000000E000001FF80700000000000001E000000FFC0
4081 F00000000000001C000000FFC0F00000000000001C0000007FE0E0000000000000380000
4082 007FE0E0000000000000380000003FF1E0000000000000780000003FF1E0000000000000
4083 700000001FF9C0000000001800F00000001FF9C0000000003C00E00000000FFFC0000000
4084 003E01E00000000FFFC0000000007FC3C000000007FFC0000000007FFFC000000007FF80
4085 000000007FFF8000000003FF8000000000FFFF8000000001FF8000000000FFFF00000000
4086 01FF0000000000FFFF0000000000FE00000000007FFE00000000007C00000000003FFC00
4087 000000000000000000001FF8000000000000000000000003F00000000000000000000000
4088 635283CC52>I<00000001C0003FC000000000078001FFF8000000001F000FFFFE000000
4089 003E003FFFFF00000000FC00FFFFFF80000001F001FFFFFFC0000003E007E03FFFE00000
4090 0FC00F8007FFE000001F001F0001FFF000003E003E0000FFF000007C007C00007FF80000
4091 F800FC00003FF80001F001F800001FFC0003E003F000001FFC0007E007F000000FFC000F
4092 C007E000000FFC001F800FC0000007FE003F001FC0000007FE003F001F80000007FE007E
4093 003F80000007FE00FE007F00000003FE01FC007F00000003FE01F800FE00000003FE03F8
4094 00FC00000003FE03F801F800000003FE07F001F000000003FE0FF0018000000003FE0FE0
4095 000000000003FE0FE0000000000003FE1FE0000000000003FC1FC0000000000003FC3FC0
4096 000000000003FC3FC0000000000003FC3FC0000000000007FC7FC0000000000007F87F80
4097 000000000007F87F80000000000007F87F80000000000007F07F8000000000000FF0FF80
4098 00000000000FF0FF8000000000000FE0FF8000000000001FE0FF8000000000001FC0FF80
4099 00000000001FC0FF8000000000003F80FF8000000000003F80FF8000000000007F00FFC0
4100 00000000007F00FFC00000000000FE00FFC00000000000FC00FFC00000000001F8007FC0
4101 0000000001F8007FE00000000003F0007FE00000000007E0007FF0000000000FC0007FF0
4102 000000000F80003FF8000000001F00003FF8000000003E00001FFC000000007C00001FFE
4103 00000000F800000FFF00000003F000000FFF80000007C0000007FFE000000F80000007FF
4104 F000003F00000003FFFC0000FC00000001FFFFC00FF800000000FFFFFFFFE0000000007F
4105 FFFFFF80000000001FFFFFFE00000000000FFFFFF0000000000003FFFF00000000000000
4106 3FF0000000000047487AC54F>I<0000001FFFFFF00000000003FFFFFFFF800000001FFF
4107 FFFFFFF0000000FFFFFFFFFFFC000003FFFFFFFFFFFF00000FFFFFFFFFFFFF80003FE07F
4108 C00FFFFFC000FE007FC0007FFFE001F8007F80000FFFF003E0007F800003FFF007C0007F
4109 800000FFF80FC0007F8000007FF81F8000FF8000003FF83F8000FF8000001FFC7F8000FF
4110 8000000FFC7F0000FF8000000FFCFE0000FF0000000FFCFC0000FF00000007FCF00000FF
4111 00000007FC800000FF00000007FC000001FF00000007F8000001FE00000007F8000001FE
4112 00000007F8000001FE00000007F0000001FE0000000FF0000003FE0000000FE0000003FC
4113 0000000FE0000003FC0000001FC0000003FC0000001F80000003FC0000003F80000007FC
4114 0000003F00000007F80000007E00000007F8000000FC00000007F8000000F800000007F8
4115 000001F00000000FF0000003E00000000FF0000007C00000000FF000001F800000000FF0
4116 00003E000000001FE00000FC000000001FE00007F0000000001FE0007FE0000000001FC0
4117 7FFF80000000003FC1FFFE00000000003FC7FFF000000000003FCFFF8000000000007F9F
4118 FC0000000000007F9F800000000000007F80000000000000007F0000000000000000FF00
4119 00000000000000FF0000000000000000FE0000000000000001FE0000000000000001FE00
4120 00000000000001FC0000000000000003FC0000000000000003FC0000000000000003F800
4121 00000000000007F80000000000000007F00000000000000007F0000000000000000FF000
4122 0000000000000FE0000000000000001FE0000000000000001FE0000000000000001FC000
4123 0000000000003FC0000000000000003F80000000000000003F00000000000000007E0000
4124 0000000000007C0000000000000000600000000000000046497EC345>I<0000000001FF
4125 C00000000000001FFFF8000000000000FFFFFE000000000007FFFFFF80000000001FFFFF
4126 FFC0000000007FFFFFFFE000000001FE003FFFF000000003F00007FFF80000000FC00001
4127 FFF80000001F0000007FFC0000007E0000003FFE000000F80000001FFE000001F0000000
4128 0FFF000003E000000007FF000007C000000007FF00000F8000000003FF80001F80000000
4129 01FF80003F0000000001FF80007E0000000001FF8000FE0000000000FFC000FC00000000
4130 00FFC001F80000000000FFC003F80000000000FFC003F000000000007FC007F000000000
4131 007FC00FF000000000007FC00FE000000000007FC01FE000000000007FC01FC000000000
4132 007FC01FC000000000007FC03FC000000000007FC03FC000000000007F807F8000000000
4133 007F807F8000000000007F807F8000000000007F807F800000000000FF00FF8000000000
4134 00FF00FF800000000000FF00FF800000000000FE00FF800000000001FE00FF8000000000
4135 01FE00FF800000000001FC00FFC00000000003FC00FFC00000000003F800FFC000000000
4136 03F800FFC00000000007F0007FE00000000007F0007FE0000000000FE0007FF000000000
4137 0FC0007FF8000000001F80003FFC000006001F80003FFE00003E003F00001FFF8000FC00
4138 7E00001FFFF003F800FC00000FFFFFFFE000F8000007FFFFFF8001F0000003FFFFFE0003
4139 E0000001FFFFF80007C00000007FFFC0000F800000000FFC00003F00000000000000007C
4140 0000000000000000F80000000000000003F0000000000000000FC0000000000000003F80
4141 00000000000001FE00000000000000FFF800000000007FFFFFE0000000E003FFFFFF8000
4142 0003E007FFFFFC0000000FC00FFFFFF00000001FC01FFFFFFE0000003FC03FFFFFFF8000
4143 003F80007FFFFFF000007F000007FFFFFE00007E0000007FFFFFC0007C0000000FFFFFFE
4144 00F800000001FFFFFFFFF0000000007FFFFFFFC0000000000FFFFFFF800000000001FFFF
4145 FE0000000000003FFFF000000000000001FF800000435375C551>I<0000000FE0000000
4146 FFE0000003FC0000000FE00000003FC00000007F80000000FF00000000FE00000001FC00
4147 000001FC00000003F800000003F800000003F800000003F800000003F800000003F80000
4148 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
4149 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
4150 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
4151 00000003F800000003F800000003F800000007F000000007F00000000FE00000001FE000
4152 00003FC00000007F80000000FE00000007F8000000FFE0000000FFE000000007F8000000
4153 00FE000000007F800000003FC00000001FE00000000FE000000007F000000007F0000000
4154 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
4155 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
4156 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
4157 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
4158 0003F800000003F800000001FC00000001FC00000000FE00000000FF000000007F800000
4159 003FC00000000FE000000003FC00000000FFE00000000FE0236479CA32>102
4160 D<FE00000000FFE000000007F800000000FE000000007F800000003FC00000001FE00000
4161 000FE000000007F000000007F000000003F800000003F800000003F800000003F8000000
4162 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
4163 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
4164 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
4165 000003F800000003F800000003F800000003F800000003F800000001FC00000001FC0000
4166 0000FE00000000FF000000007F800000003FC00000000FE000000003FC00000000FFE000
4167 0000FFE0000003FC0000000FE00000003FC00000007F80000000FF00000000FE00000001
4168 FC00000001FC00000003F800000003F800000003F800000003F800000003F800000003F8
4169 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
4170 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
4171 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
4172 03F800000003F800000003F800000003F800000007F000000007F00000000FE00000001F
4173 E00000003FC00000007F80000000FE00000007F8000000FFE0000000FE00000000236479
4174 CA32>I<00000C00001E00003E00003E00003C00007C00007C0000F80000F80000F00001
4175 F00001F00003E00003E00003C00007C00007C0000F80000F80000F00001F00001F00003E
4176 00003E00003C00007C00007C0000780000F80000F80001F00001F00001E00003E00003E0
4177 0007C00007C0000780000F80000F80001F00001F00001E00003E00003E00007C00007C00
4178 00780000F80000F80000F80000F800007800007C00007C00003E00003E00001E00001F00
4179 001F00000F80000F800007800007C00007C00003E00003E00001E00001F00001F00000F8
4180 0000F800007800007C00007C00003C00003E00003E00001F00001F00000F00000F80000F
4181 800007C00007C00003C00003E00003E00001F00001F00000F00000F80000F800007C0000
4182 7C00003C00003E00003E00001E00000C176476CA27>I<600000F00000F80000F8000078
4183 00007C00007C00003E00003E00001E00001F00001F00000F80000F800007800007C00007
4184 C00003E00003E00001E00001F00001F00000F80000F800007800007C00007C00003C0000
4185 3E00003E00001F00001F00000F00000F80000F800007C00007C00003C00003E00003E000
4186 01F00001F00000F00000F80000F800007C00007C00003C00003E00003E00003E00003E00
4187 003C00007C00007C0000F80000F80000F00001F00001F00003E00003E00003C00007C000
4188 07C0000F80000F80000F00001F00001F00003E00003E00003C00007C00007C0000780000
4189 F80000F80001F00001F00001E00003E00003E00007C00007C0000780000F80000F80001F
4190 00001F00001E00003E00003E00007C00007C0000780000F80000F80000F0000060000017
4191 647BCA27>I<60F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
4192 F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0
4193 F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0F0600464
4194 74CA1C>I<00000300000000000300000000000300000000000780000000000780000000
4195 000780000000000780000000000FC0000000000FC0000000001FE0000000001FE0000000
4196 003FF0000000007FF8000000007FF800000000FFFC00000001F7BE00000003E79F000000
4197 07C78F8000000FC78FC000001F8787E000007F0783F80000FC0780FC0003F807807F001F
4198 F007803FE0FFC007800FFCFF00078003FCFC00078000FC60000780001800000780000000
4199 000780000000000780000000000780000000000780000000000780000000000780000000
4200 000780000000000780000000000780000000000780000000000780000000000780000000
4201 000780000000000780000000000780000000000780000000000780000000000780000000
4202 000780000000000780000000000780000000000780000000000780000000000780000000
4203 000780000000000780000000000780000000000780000000000780000000000780000000
4204 000780000000000780000000000780000000000780000000000780000000000780000000
4205 000780000000000780000000000780000000000780000000000780000000000780000000
4206 0007800000000007800000000007800000000007800000000007800000600007800018FC
4207 00078000FCFF00078003FCFFC007800FFC1FF007803FE003F807807F0000FC0780FC0000
4208 7F0783F800001F8787E000000FC78FC0000007C78F80000003E79F00000001F7BE000000
4209 00FFFC000000007FF8000000007FF8000000003FF0000000001FE0000000001FE0000000
4210 000FC0000000000FC0000000000780000000000780000000000780000000000780000000
4211 00030000000000030000000000030000002E687ECC32>108 D<0000000000000000000C
4212 0000000000000000001E0000000000000000003E0000000000000000003E000000000000
4213 0000007C0000000000000000007C000000000000000000F8000000000000000000F80000
4214 00000000000001F0000000000000000001F0000000000000000003E00000000000000000
4215 03E0000000000000000007C0000000000000000007C000000000000000000F8000000000
4216 000000000F8000000000000000001F0000000000000000001F0000000000000000003E00
4217 00000000000000003E0000000000000000007C0000000000000000007C00000000000000
4218 0000F8000000000000000000F8000000000000000001F0000000000000000001F0000000
4219 000000000001E0000000000000000003E0000000000000000003E0000000000000000007
4220 C0000000000000000007C000000000000000000F8000000000000000000F800000000000
4221 0000001F0000000000000000001F0000000000000000003E0000000000000000003E0000
4222 000000000000007C0000000000000000007C000000000000000000F80000000000000000
4223 00F8000000000000000001F0000000000000000001F0000000000000000003E000000000
4224 0000000003E0000000000000000007C0000000000000000007C000000000000000000F80
4225 00000000000000000F800000000C000000001F000000003C000000001F000000007C0000
4226 00003E00000001FE000000003E00000003FE000000007C00000007FF000000007C000000
4227 1EFF00000000F800000038FF80000000F8000000707F80000001F0000000E07FC0000001
4228 F0000000003FC0000003E0000000003FE0000003E0000000001FE0000007C0000000001F
4229 E0000007C0000000001FF000000F80000000000FF000000F80000000000FF800001F0000
4230 00000007F800001F000000000007FC00003E000000000003FC00003E000000000003FE00
4231 007C000000000001FE00007C000000000001FF0000F8000000000000FF0000F800000000
4232 0000FF8000F00000000000007F8001F00000000000007F8001F00000000000007FC003E0
4233 0000000000003FC003E00000000000003FE007C00000000000001FE007C0000000000000
4234 1FF00F800000000000000FF00F800000000000000FF81F0000000000000007F81F000000
4235 0000000007FC3E0000000000000003FC3E0000000000000003FC7C0000000000000003FE
4236 7C0000000000000001FEF80000000000000001FFF80000000000000000FFF00000000000
4237 000000FFF000000000000000007FE000000000000000007FE000000000000000003FC000
4238 000000000000003FC000000000000000001F8000000000000000001F8000000000000000
4239 000F0000000000000000000E0000000000004F647A8353>112 D
4240 E /Fo 69 124 df<0000000FFF0003FF00000001FFFFC03FFFC000000FFFFFF1FFFFE000
4241 007FFFFFFFFFFFF00001FFF803FFFE1FF80003FF8003FFF81FFC000FFF0007FFF03FFC00
4242 1FFE000FFFE03FFC003FFC000FFFE03FFC003FF8000FFFC03FFC007FF0000FFFC03FFC00
4243 7FF0000FFFC01FF800FFF0000FFF801FF800FFE00007FF8007E000FFE00003FF80018000
4244 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4245 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4246 FFE00003FF80000000FFE00003FF80000000FFE00003FF800000FFFFFFFFFFFFFFF000FF
4247 FFFFFFFFFFFFF000FFFFFFFFFFFFFFF000FFFFFFFFFFFFFFF000FFFFFFFFFFFFFFF00000
4248 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4249 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4250 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4251 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4252 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4253 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4254 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4255 FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000FFE00003FF80000000
4256 FFE00003FF80000000FFE00003FF8000007FFFFFC1FFFFFF80007FFFFFC1FFFFFF80007F
4257 FFFFC1FFFFFF80007FFFFFC1FFFFFF80007FFFFFC1FFFFFF800046467EC541>11
4258 D<0000000FFF0000000001FFFFC00000000FFFFFF00000007FFFFFF8000001FFF803FC00
4259 0003FFC000FE00000FFF0003FE00001FFE0007FF00003FFC000FFF00003FF8000FFF0000
4260 7FF0000FFF00007FF0001FFF8000FFF0000FFF0000FFE0000FFF0000FFE0000FFF0000FF
4261 E0000FFF0000FFE00007FE0000FFE00001F80000FFE00000000000FFE00000000000FFE0
4262 0000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE001
4263 FFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFF
4264 FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF
4265 8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF80
4266 00FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000
4267 FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FF
4268 E00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE0
4269 0003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE000
4270 03FF8000FFE00003FF8000FFE00003FF8000FFE00003FF807FFFFFC1FFFFFF7FFFFFC1FF
4271 FFFF7FFFFFC1FFFFFF7FFFFFC1FFFFFF7FFFFFC1FFFFFF38467EC53E>I<0000000FFF00
4272 00000001FFFFEF8000000FFFFFFF8000007FFFFFFF800001FFF807FF800003FF8007FF80
4273 000FFF000FFF80001FFE000FFF80003FFC000FFF80003FF8000FFF80007FF0000FFF8000
4274 7FF00007FF8000FFF00007FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FF
4275 E00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE0
4276 0003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF80FFFFFFFF
4277 FFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF8000FFE00003
4278 FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF
4279 8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF80
4280 00FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000
4281 FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FF
4282 E00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE0
4283 0003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE00003FF8000FFE000
4284 03FF8000FFE00003FF8000FFE00003FF807FFFFFC1FFFFFF7FFFFFC1FFFFFF7FFFFFC1FF
4285 FFFF7FFFFFC1FFFFFF7FFFFFC1FFFFFF38467EC53E>I<000001E0000003E000000FC000
4286 001F8000003F0000007E000000FC000001FC000003F8000007F0000007E000000FE00000
4287 1FC000003FC000003F8000007F800000FF000000FF000001FE000001FE000003FC000003
4288 FC000007FC000007F8000007F800000FF800000FF000000FF000001FF000001FF000001F
4289 E000003FE000003FE000003FE000003FE000007FC000007FC000007FC000007FC000007F
4290 C000007FC00000FFC00000FFC00000FF800000FF800000FF800000FF800000FF800000FF
4291 800000FF800000FF800000FF800000FF800000FF800000FF800000FF800000FF800000FF
4292 C00000FFC000007FC000007FC000007FC000007FC000007FC000007FC000003FE000003F
4293 E000003FE000003FE000001FE000001FF000001FF000000FF000000FF000000FF8000007
4294 F8000007F8000007FC000003FC000003FC000001FE000001FE000000FF000000FF000000
4295 7F8000003F8000003FC000001FC000000FE0000007E0000007F0000003F8000001FC0000
4296 00FC0000007E0000003F0000001F8000000FC0000003E0000001E01B6476CA2C>40
4297 D<F0000000F80000007E0000003F0000001F8000000FC0000007E0000007F0000003F800
4298 0001FC000000FC000000FE0000007F0000007F8000003F8000003FC000001FE000001FE0
4299 00000FF000000FF0000007F8000007F8000007FC000003FC000003FC000003FE000001FE
4300 000001FE000001FF000001FF000000FF000000FF800000FF800000FF800000FF8000007F
4301 C000007FC000007FC000007FC000007FC000007FC000007FE000007FE000003FE000003F
4302 E000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003FE000003F
4303 E000003FE000003FE000003FE000007FE000007FE000007FC000007FC000007FC000007F
4304 C000007FC000007FC00000FF800000FF800000FF800000FF800000FF000001FF000001FF
4305 000001FE000001FE000003FE000003FC000003FC000007FC000007F8000007F800000FF0
4306 00000FF000001FE000001FE000003FC000003F8000007F8000007F000000FE000000FC00
4307 0001FC000003F8000007F0000007E000000FC000001F8000003F0000007E000000F80000
4308 00F00000001B647ACA2C>I<FFFFFFF8FFFFFFF8FFFFFFF8FFFFFFF8FFFFFFF8FFFFFFF8
4309 FFFFFFF8FFFFFFF8FFFFFFF81D097F9A25>45 D<07C01FF03FF87FFCFFFEFFFEFFFEFFFE
4310 FFFEFFFEFFFE7FFC3FF81FF007C00F0F788E1F>I<0000000001C00000000003E0000000
4311 0007E00000000007E0000000000FE0000000000FC0000000001FC0000000001F80000000
4312 001F80000000003F80000000003F00000000007F00000000007E00000000007E00000000
4313 00FE0000000000FC0000000001FC0000000001F80000000001F80000000003F800000000
4314 03F00000000003F00000000007F00000000007E0000000000FE0000000000FC000000000
4315 0FC0000000001FC0000000001F80000000003F80000000003F00000000003F0000000000
4316 7F00000000007E0000000000FE0000000000FC0000000000FC0000000001FC0000000001
4317 F80000000003F80000000003F00000000003F00000000007F00000000007E0000000000F
4318 E0000000000FC0000000000FC0000000001FC0000000001F80000000003F80000000003F
4319 00000000003F00000000007F00000000007E00000000007E0000000000FE0000000000FC
4320 0000000001FC0000000001F80000000001F80000000003F80000000003F00000000007F0
4321 0000000007E00000000007E0000000000FE0000000000FC0000000001FC0000000001F80
4322 000000001F80000000003F80000000003F00000000007F00000000007E00000000007E00
4323 00000000FE0000000000FC0000000001FC0000000001F80000000001F80000000003F800
4324 00000003F00000000003F00000000007F00000000007E0000000000FE0000000000FC000
4325 0000000FC0000000001FC0000000001F80000000003F80000000003F00000000003F0000
4326 0000007F00000000007E0000000000FE0000000000FC0000000000FC0000000000F80000
4327 0000007800000000002B647ACA38>I<00003FF800000001FFFF0000000FFFFFE000003F
4328 FFFFF800007FF01FFC0000FFC007FE0001FF0001FF0003FE0000FF8007FE0000FFC007FC
4329 00007FC00FFC00007FE00FF800003FE01FF800003FF01FF800003FF03FF800003FF83FF8
4330 00003FF83FF000001FF87FF000001FFC7FF000001FFC7FF000001FFC7FF000001FFC7FF0
4331 00001FFC7FF000001FFCFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF0
4332 00001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF0
4333 00001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF0
4334 00001FFEFFF000001FFEFFF000001FFEFFF000001FFEFFF000001FFE7FF000001FFC7FF0
4335 00001FFC7FF000001FFC7FF000001FFC7FF000001FFC3FF800003FF83FF800003FF83FF8
4336 00003FF81FF800003FF01FF800003FF00FF800003FE00FFC00007FE007FC00007FC007FE
4337 0000FFC003FF0001FF8001FF8003FF0000FFC007FE00007FF01FFC00003FFFFFF800000F
4338 FFFFE0000003FFFF800000003FF800002F427CC038>I<000003C000000007C00000001F
4339 C00000007FC0000003FFC000003FFFC000FFFFFFC000FFFFFFC000FFFFFFC000FFFFFFC0
4340 00FFC3FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000
4341 0003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC00000
4342 03FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003
4343 FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FF
4344 C0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0
4345 000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000
4346 0003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000FF
4347 FFFFFFFCFFFFFFFFFCFFFFFFFFFCFFFFFFFFFCFFFFFFFFFC264177C038>I<0000FFE000
4348 00000FFFFE0000003FFFFF800000FFFFFFE00003FFFFFFF80007FC03FFFE000FE0007FFF
4349 001F80003FFF803F00000FFFC07F000007FFC07FC00007FFE07FF00003FFE0FFF00001FF
4350 F0FFF80001FFF0FFF80001FFF8FFF80000FFF8FFF80000FFF8FFF80000FFF8FFF80000FF
4351 F87FF00000FFF83FE00000FFF81FC00000FFF800000000FFF800000000FFF000000001FF
4352 F000000001FFF000000001FFE000000003FFE000000003FFC000000007FF800000000FFF
4353 000000000FFF000000001FFC000000003FF8000000003FF0000000007FE000000000FFC0
4354 00000001FF0000000003FE0000000007FC000000000FF0000000001FE0000000003F8000
4355 0000007F0000780000FE0000780001FC0000780003F80000F80007E00000F0000FC00000
4356 F0001F800000F0003F000000F0007C000001F000F8000003F001FFFFFFFFF003FFFFFFFF
4357 E007FFFFFFFFE00FFFFFFFFFE01FFFFFFFFFE03FFFFFFFFFE07FFFFFFFFFE0FFFFFFFFFF
4358 E0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC02D417BC038>I<0000FFF0
4359 00000007FFFF0000001FFFFFC000007FFFFFF00000FF007FF80003F8003FFE0007E0001F
4360 FF0007E0000FFF000FF80007FF800FFE0007FF801FFE0007FFC01FFF0007FFC01FFF0007
4361 FFC01FFF0007FFC01FFF0007FFC01FFF0007FFC01FFF0007FFC00FFE0007FFC007FC0007
4362 FF8003F8000FFF800000000FFF000000001FFF000000001FFE000000003FFC000000007F
4363 F800000000FFF000000001FFE00000000FFF80000007FFFE00000007FFF800000007FFFF
4364 00000007FFFFC000000000FFF0000000003FFC000000000FFE000000000FFF8000000007
4365 FF8000000003FFC000000003FFE000000003FFE000000001FFF000000001FFF000000001
4366 FFF800000001FFF800000001FFF80FC00001FFF83FF00001FFF87FF80001FFF87FF80001
4367 FFF8FFFC0001FFF8FFFC0001FFF8FFFC0001FFF0FFFC0001FFF0FFFC0003FFF0FFFC0003
4368 FFE07FF80003FFE07FF00007FFC07FE00007FFC03F80000FFF801FF0001FFF000FFE00FF
4369 FE0007FFFFFFF80001FFFFFFF000007FFFFFC000001FFFFE00000001FFE000002D427BC0
4370 38>I<000000003F0000000000003F0000000000007F000000000000FF000000000001FF
4371 000000000003FF000000000003FF000000000007FF00000000000FFF00000000001FFF00
4372 000000003FFF00000000003FFF00000000007FFF0000000000FFFF0000000001F7FF0000
4373 000003E7FF0000000007E7FF0000000007C7FF000000000F87FF000000001F07FF000000
4374 003E07FF000000007E07FF000000007C07FF00000000F807FF00000001F007FF00000003
4375 E007FF00000007E007FF00000007C007FF0000000F8007FF0000001F0007FF0000003E00
4376 07FF0000007C0007FF0000007C0007FF000000F80007FF000001F00007FF000003E00007
4377 FF000007C00007FF00000FC00007FF00000F800007FF00001F000007FF00003E000007FF
4378 00007C000007FF0000FC000007FF0000FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF
4379 80FFFFFFFFFFFF80FFFFFFFFFFFF800000000FFF00000000000FFF00000000000FFF0000
4380 0000000FFF00000000000FFF00000000000FFF00000000000FFF00000000000FFF000000
4381 00000FFF00000000000FFF00000000000FFF00000000000FFF000000007FFFFFFF800000
4382 7FFFFFFF8000007FFFFFFF8000007FFFFFFF8000007FFFFFFF8031417DC038>I<070000
4383 00030007E000003F0007FF0007FF0007FFFFFFFF0007FFFFFFFE0007FFFFFFFC0007FFFF
4384 FFF80007FFFFFFF00007FFFFFFE00007FFFFFF800007FFFFFE000007FFFFFC000007FFFF
4385 E0000007FFFF00000007C00000000007C00000000007C00000000007C00000000007C000
4386 00000007C00000000007C00000000007C00000000007C00000000007C00000000007C03F
4387 F0000007C1FFFF000007C7FFFFC00007DFFFFFF00007FFE03FFC0007FF000FFE0007FC00
4388 07FF0007F00003FF8007E00003FFC007C00001FFC003800001FFE000000001FFE0000000
4389 00FFF000000000FFF000000000FFF000000000FFF800000000FFF800000000FFF8000000
4390 00FFF80F800000FFF83FE00000FFF87FF00000FFF8FFF00000FFF8FFF80000FFF8FFF800
4391 00FFF8FFF80000FFF8FFF80000FFF0FFF00000FFF0FFF00001FFF07FE00001FFE07FC000
4392 01FFE07E000003FFC03E000003FFC03F000007FF801FC0000FFF000FF0001FFE0007FE00
4393 FFFC0003FFFFFFF00000FFFFFFE000003FFFFF8000000FFFFC00000001FFC000002D427B
4394 C038>I<000001FF800000001FFFF00000007FFFFC000001FFFFFF000007FF807F80000F
4395 FC001F80003FF0001FC0007FE0007FC000FFC000FFE001FF8001FFE003FF8001FFE003FF
4396 0001FFE007FE0001FFE00FFE0001FFE00FFE0001FFE01FFC0000FFC01FFC00007F801FFC
4397 00001E003FFC000000003FFC000000003FF8000000007FF8000000007FF8000000007FF8
4398 07FC00007FF81FFF8000FFF87FFFE000FFF8FFFFF800FFF9F01FFC00FFFBC007FE00FFFF
4399 8003FF00FFFF8003FF80FFFF0001FFC0FFFE0001FFC0FFFE0000FFE0FFFE0000FFE0FFFC
4400 0000FFF0FFFC0000FFF0FFFC0000FFF0FFFC0000FFF8FFF80000FFF8FFF80000FFF8FFF8
4401 0000FFF8FFF80000FFF87FF80000FFF87FF80000FFF87FF80000FFF87FF80000FFF87FF8
4402 0000FFF83FF80000FFF83FF80000FFF83FF80000FFF03FFC0000FFF01FFC0000FFF01FFC
4403 0000FFF00FFC0001FFE00FFC0001FFE007FE0001FFC007FF0003FF8003FF8003FF0001FF
4404 C007FE0000FFE01FFC00007FFFFFF800001FFFFFF0000007FFFFC0000001FFFF00000000
4405 3FF000002D427BC038>I<1E00000000001F00000000001FFC000000001FFFFFFFFFFE1F
4406 FFFFFFFFFE1FFFFFFFFFFE1FFFFFFFFFFE3FFFFFFFFFFE3FFFFFFFFFFC3FFFFFFFFFF83F
4407 FFFFFFFFF03FFFFFFFFFE03FFFFFFFFFC03FFFFFFFFFC07FFFFFFFFF807E0000003F007C
4408 0000007E007C000000FC0078000000F80078000001F80078000003F000F8000007E000F0
4409 00000FC000F000000F8000F000001F80000000003F00000000007E0000000000FC000000
4410 0000FC0000000001F80000000003F80000000003F00000000007F0000000000FE0000000
4411 000FE0000000001FE0000000001FC0000000003FC0000000003FC0000000007FC0000000
4412 007F8000000000FF8000000000FF8000000001FF8000000001FF8000000001FF80000000
4413 03FF8000000003FF0000000003FF0000000003FF0000000007FF0000000007FF00000000
4414 07FF0000000007FF0000000007FF000000000FFF000000000FFF000000000FFF00000000
4415 0FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF00000000
4416 0FFF0000000007FE0000000003FC0000000001F80000002F447AC238>I<00007FF00000
4417 0003FFFF0000000FFFFFC000003FFFFFF000007F801FFC0001FC0003FE0003F80001FF00
4418 03F00000FF0007E000007F8007E000003F800FC000003FC00FC000003FC01FC000001FC0
4419 1FC000001FC01FE000001FC01FE000001FC01FF000001FC01FF800001FC01FFE00003FC0
4420 1FFF00003F801FFFC0007F801FFFF0007F000FFFFC00FF000FFFFE01FE0007FFFF83FC00
4421 07FFFFE7F80003FFFFFFE00001FFFFFFC00000FFFFFF0000007FFFFFC000003FFFFFE000
4422 000FFFFFF800000FFFFFFC00003FFFFFFE0000FFFFFFFF0001FF3FFFFF8007FC0FFFFFC0
4423 0FF803FFFFE01FF000FFFFE01FE0007FFFF03FE0001FFFF07FC00007FFF07F800003FFF8
4424 7F800000FFF8FF8000007FF8FF0000003FF8FF0000001FF8FF0000000FF8FF0000000FF8
4425 FF00000007F8FF00000007F8FF00000007F8FF80000007F07F80000007F07F8000000FF0
4426 7FC000000FE03FE000001FE03FF000003FC01FF800007F800FFE0001FF0007FFC00FFE00
4427 03FFFFFFFC0000FFFFFFF000003FFFFFC000000FFFFF00000000FFF000002D427BC038>
4428 I<00007FF000000007FFFE0000001FFFFF8000007FFFFFE00000FFE03FF00001FF800FF8
4429 0003FF0007FC0007FE0007FE000FFC0003FF001FFC0001FF003FFC0001FF803FFC0001FF
4430 807FF80001FFC07FF80000FFC07FF80000FFE07FF80000FFE0FFF80000FFE0FFF80000FF
4431 F0FFF80000FFF0FFF80000FFF0FFF80000FFF0FFF80000FFF0FFF80000FFF0FFF80000FF
4432 F8FFF80000FFF8FFF80000FFF8FFF80000FFF8FFF80001FFF87FF80001FFF87FF80001FF
4433 F87FF80001FFF83FF80003FFF83FF80003FFF81FFC0003FFF81FFC0007FFF80FFE000FFF
4434 F807FE000FFFF803FF001EFFF801FFC07CFFF800FFFFF8FFF8003FFFF0FFF8000FFFC0FF
4435 F00001FF00FFF000000000FFF000000000FFF000000000FFE000000001FFE000000001FF
4436 E003C00001FFE00FF00001FFC01FF80001FFC03FFC0003FF803FFC0003FF803FFC0003FF
4437 003FFC0007FE003FFC000FFE003FFC000FFC003FF8001FF8001FF0003FF0001FC000FFE0
4438 000FF003FFC00007FFFFFF800003FFFFFE000001FFFFF80000007FFFE000000007FE0000
4439 002D427BC038>I<07C01FF03FF87FFCFFFEFFFEFFFEFFFEFFFEFFFEFFFE7FFC3FF81FF0
4440 07C00000000000000000000000000000000000000000000000000000000007C01FF03FF8
4441 7FFCFFFEFFFEFFFEFFFEFFFEFFFEFFFE7FFC3FF81FF007C00F2C78AB1F>I<000000001F
4442 8000000000000000001F8000000000000000003FC000000000000000003FC00000000000
4443 0000007FE000000000000000007FE000000000000000007FE00000000000000000FFF000
4444 00000000000000FFF00000000000000001FFF80000000000000001FFF800000000000000
4445 01FFF80000000000000003FFFC0000000000000003FFFC0000000000000007FFFE000000
4446 0000000007FFFE0000000000000007FFFE000000000000000FFFFF000000000000000F9F
4447 FF000000000000001F9FFF800000000000001F1FFF800000000000001F0FFF8000000000
4448 00003F0FFFC00000000000003E07FFC00000000000007E07FFE00000000000007C07FFE0
4449 0000000000007C03FFE0000000000000FC03FFF0000000000000F801FFF0000000000001
4450 F801FFF8000000000001F001FFF8000000000001F000FFF8000000000003F000FFFC0000
4451 00000003E0007FFC000000000007E0007FFE000000000007C0007FFE000000000007C000
4452 3FFE00000000000FC0003FFF00000000000F80001FFF00000000001F80001FFF80000000
4453 001F00000FFF80000000001F00000FFF80000000003F00000FFFC0000000003E000007FF
4454 C0000000007E000007FFE0000000007FFFFFFFFFE0000000007FFFFFFFFFE000000000FF
4455 FFFFFFFFF000000000FFFFFFFFFFF000000001FFFFFFFFFFF800000001F0000000FFF800
4456 000001F0000000FFF800000003F0000000FFFC00000003E00000007FFC00000007E00000
4457 007FFE00000007C00000003FFE00000007C00000003FFE0000000F800000003FFF000000
4458 0F800000001FFF0000001F800000001FFF8000001F000000000FFF8000003F000000000F
4459 FFC000003E000000000FFFC000007E0000000007FFC000FFFFFF00000FFFFFFFF0FFFFFF
4460 00000FFFFFFFF0FFFFFF00000FFFFFFFF0FFFFFF00000FFFFFFFF0FFFFFF00000FFFFFFF
4461 F04C457CC455>65 D<FFFFFFFFFFFF000000FFFFFFFFFFFFF00000FFFFFFFFFFFFFE0000
4462 FFFFFFFFFFFFFF8000FFFFFFFFFFFFFFE000003FFC000007FFF000003FFC000001FFF800
4463 003FFC0000007FFC00003FFC0000003FFE00003FFC0000001FFF00003FFC0000001FFF00
4464 003FFC0000000FFF80003FFC0000000FFF80003FFC0000000FFF80003FFC00000007FFC0
4465 003FFC00000007FFC0003FFC00000007FFC0003FFC00000007FFC0003FFC00000007FFC0
4466 003FFC00000007FFC0003FFC00000007FFC0003FFC0000000FFF80003FFC0000000FFF80
4467 003FFC0000001FFF00003FFC0000001FFF00003FFC0000003FFE00003FFC0000007FFC00
4468 003FFC000000FFF800003FFC000001FFF000003FFC000007FFE000003FFC0000FFFF8000
4469 003FFFFFFFFFFC0000003FFFFFFFFFF00000003FFFFFFFFFFF0000003FFFFFFFFFFFE000
4470 003FFC000001FFF800003FFC0000007FFC00003FFC0000001FFE00003FFC0000000FFF00
4471 003FFC00000007FF80003FFC00000007FFC0003FFC00000003FFE0003FFC00000003FFE0
4472 003FFC00000001FFF0003FFC00000001FFF0003FFC00000001FFF0003FFC00000001FFF8
4473 003FFC00000001FFF8003FFC00000001FFF8003FFC00000001FFF8003FFC00000001FFF8
4474 003FFC00000001FFF8003FFC00000001FFF8003FFC00000001FFF0003FFC00000001FFF0
4475 003FFC00000003FFF0003FFC00000003FFE0003FFC00000007FFE0003FFC0000000FFFC0
4476 003FFC0000001FFFC0003FFC0000003FFF80003FFC000000FFFF00003FFC000007FFFE00
4477 FFFFFFFFFFFFFFF800FFFFFFFFFFFFFFF000FFFFFFFFFFFFFFC000FFFFFFFFFFFFFE0000
4478 FFFFFFFFFFFFE0000045447CC350>I<00000000FFF00000700000001FFFFF0000F00000
4479 01FFFFFFE001F0000007FFFFFFF803F000003FFFFFFFFE07F00000FFFFE001FF0FF00001
4480 FFFE00003F9FF00007FFF000000FFFF0000FFFC0000007FFF0001FFF00000003FFF0003F
4481 FE00000001FFF0007FFC00000000FFF000FFF8000000007FF001FFF0000000003FF003FF
4482 E0000000001FF007FFE0000000001FF007FFC0000000000FF00FFF80000000000FF00FFF
4483 800000000007F01FFF000000000007F01FFF000000000003F03FFF000000000003F03FFE
4484 000000000003F03FFE000000000003F07FFE000000000001F07FFE000000000001F07FFE
4485 000000000001F07FFC00000000000000FFFC00000000000000FFFC00000000000000FFFC
4486 00000000000000FFFC00000000000000FFFC00000000000000FFFC00000000000000FFFC
4487 00000000000000FFFC00000000000000FFFC00000000000000FFFC00000000000000FFFC
4488 00000000000000FFFC00000000000000FFFC00000000000000FFFC000000000000007FFC
4489 000000000000007FFE000000000000007FFE000000000000F07FFE000000000000F03FFE
4490 000000000000F03FFE000000000000F03FFF000000000000F01FFF000000000001F01FFF
4491 000000000001E00FFF800000000001E00FFF800000000003E007FFC00000000003C007FF
4492 E00000000007C003FFE00000000007C001FFF0000000000F8000FFF8000000001F00007F
4493 FC000000003F00003FFE000000007E00001FFF80000000FC00000FFFC0000001F8000007
4494 FFF0000007F0000001FFFE00001FE0000000FFFFF001FF800000003FFFFFFFFF00000000
4495 07FFFFFFFC0000000001FFFFFFF000000000001FFFFF80000000000000FFF80000004446
4496 7AC451>I<FFFFFFFFFFFF00000000FFFFFFFFFFFFF0000000FFFFFFFFFFFFFE000000FF
4497 FFFFFFFFFFFF800000FFFFFFFFFFFFFFE00000003FFE00001FFFF80000003FFE000001FF
4498 FC0000003FFE0000003FFF0000003FFE0000000FFF8000003FFE00000007FFC000003FFE
4499 00000003FFE000003FFE00000001FFF000003FFE00000000FFF000003FFE000000007FF8
4500 00003FFE000000003FFC00003FFE000000003FFC00003FFE000000001FFE00003FFE0000
4501 00001FFE00003FFE000000000FFF00003FFE000000000FFF00003FFE000000000FFF8000
4502 3FFE000000000FFF80003FFE0000000007FF80003FFE0000000007FFC0003FFE00000000
4503 07FFC0003FFE0000000007FFC0003FFE0000000007FFC0003FFE0000000007FFC0003FFE
4504 0000000007FFE0003FFE0000000007FFE0003FFE0000000007FFE0003FFE0000000007FF
4505 E0003FFE0000000007FFE0003FFE0000000007FFE0003FFE0000000007FFE0003FFE0000
4506 000007FFE0003FFE0000000007FFE0003FFE0000000007FFE0003FFE0000000007FFE000
4507 3FFE0000000007FFE0003FFE0000000007FFE0003FFE0000000007FFC0003FFE00000000
4508 07FFC0003FFE0000000007FFC0003FFE0000000007FFC0003FFE0000000007FFC0003FFE
4509 0000000007FF80003FFE000000000FFF80003FFE000000000FFF80003FFE000000000FFF
4510 00003FFE000000001FFF00003FFE000000001FFE00003FFE000000003FFE00003FFE0000
4511 00003FFC00003FFE000000007FF800003FFE00000000FFF800003FFE00000000FFF00000
4512 3FFE00000001FFE000003FFE00000007FFC000003FFE0000000FFF8000003FFE0000003F
4513 FF0000003FFE000001FFFE0000003FFE00000FFFF80000FFFFFFFFFFFFFFF00000FFFFFF
4514 FFFFFFFFC00000FFFFFFFFFFFFFE000000FFFFFFFFFFFFF0000000FFFFFFFFFFFF000000
4515 004B447CC356>I<FFFFFFFFFFFFFFF800FFFFFFFFFFFFFFF800FFFFFFFFFFFFFFF800FF
4516 FFFFFFFFFFFFF800FFFFFFFFFFFFFFFC00001FFF000001FFFC00001FFF0000003FFC0000
4517 1FFF0000000FFC00001FFF00000003FC00001FFF00000001FC00001FFF00000000FC0000
4518 1FFF00000000FC00001FFF000000007E00001FFF000000003E00001FFF000000003E0000
4519 1FFF000000003E00001FFF000000001E00001FFF000000001E00001FFF000078001E0000
4520 1FFF000078001E00001FFF000078000F00001FFF000078000F00001FFF000078000F0000
4521 1FFF000078000F00001FFF0000F8000000001FFF0000F8000000001FFF0000F800000000
4522 1FFF0001F8000000001FFF0003F8000000001FFF001FF8000000001FFFFFFFF800000000
4523 1FFFFFFFF8000000001FFFFFFFF8000000001FFFFFFFF8000000001FFFFFFFF800000000
4524 1FFF001FF8000000001FFF0003F8000000001FFF0001F8000000001FFF0000F800000000
4525 1FFF0000F8000000001FFF0000F80001E0001FFF0000780001E0001FFF0000780001E000
4526 1FFF0000780003C0001FFF0000780003C0001FFF0000780003C0001FFF0000780003C000
4527 1FFF0000000003C0001FFF0000000007C0001FFF0000000007C0001FFF00000000078000
4528 1FFF000000000780001FFF000000000F80001FFF000000000F80001FFF000000001F8000
4529 1FFF000000001F80001FFF000000003F80001FFF000000007F00001FFF00000000FF0000
4530 1FFF00000001FF00001FFF00000007FF00001FFF0000001FFF00001FFF000001FFFF00FF
4531 FFFFFFFFFFFFFF00FFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFE00FF
4532 FFFFFFFFFFFFFE0043447DC34A>I<FFFFFFFFFFFFFF80FFFFFFFFFFFFFF80FFFFFFFFFF
4533 FFFF80FFFFFFFFFFFFFF80FFFFFFFFFFFFFFC0003FFE00001FFFC0003FFE000001FFC000
4534 3FFE0000007FC0003FFE0000003FC0003FFE0000001FC0003FFE0000000FC0003FFE0000
4535 0007C0003FFE00000007E0003FFE00000003E0003FFE00000003E0003FFE00000003E000
4536 3FFE00000001E0003FFE00000001E0003FFE00000001E0003FFE0001E001E0003FFE0001
4537 E000F0003FFE0001E000F0003FFE0001E000F0003FFE0001E000F0003FFE0001E0000000
4538 3FFE0003E00000003FFE0003E00000003FFE0003E00000003FFE0007E00000003FFE000F
4539 E00000003FFE007FE00000003FFFFFFFE00000003FFFFFFFE00000003FFFFFFFE0000000
4540 3FFFFFFFE00000003FFFFFFFE00000003FFE007FE00000003FFE000FE00000003FFE0007
4541 E00000003FFE0003E00000003FFE0003E00000003FFE0003E00000003FFE0001E0000000
4542 3FFE0001E00000003FFE0001E00000003FFE0001E00000003FFE0001E00000003FFE0001
4543 E00000003FFE0000000000003FFE0000000000003FFE0000000000003FFE000000000000
4544 3FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000
4545 000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE000000000000
4546 3FFE0000000000003FFE0000000000FFFFFFFFF0000000FFFFFFFFF0000000FFFFFFFFF0
4547 000000FFFFFFFFF0000000FFFFFFFFF00000003C447CC346>I<00000000FFF000007000
4548 0000001FFFFF0000F000000001FFFFFFE001F000000007FFFFFFF803F00000003FFFFFFF
4549 FE07F0000000FFFFE001FF0FF0000001FFFE00003F9FF0000007FFF000000FFFF000000F
4550 FFC0000007FFF000001FFF00000003FFF000003FFE00000001FFF000007FFC00000000FF
4551 F00000FFF8000000007FF00001FFF0000000003FF00003FFE0000000001FF00007FFE000
4552 0000001FF00007FFC0000000000FF0000FFF80000000000FF0000FFF800000000007F000
4553 1FFF000000000007F0001FFF000000000003F0003FFF000000000003F0003FFE00000000
4554 0003F0003FFE000000000003F0007FFE000000000001F0007FFE000000000001F0007FFE
4555 000000000001F0007FFC0000000000000000FFFC0000000000000000FFFC000000000000
4556 0000FFFC0000000000000000FFFC0000000000000000FFFC0000000000000000FFFC0000
4557 000000000000FFFC0000000000000000FFFC0000000000000000FFFC0000000000000000
4558 FFFC0000000000000000FFFC0000000000000000FFFC0000000000000000FFFC00000000
4559 00000000FFFC0000007FFFFFFFF07FFC0000007FFFFFFFF07FFE0000007FFFFFFFF07FFE
4560 0000007FFFFFFFF07FFE0000007FFFFFFFF03FFE0000000001FFF0003FFE0000000001FF
4561 F0003FFF0000000001FFF0001FFF0000000001FFF0001FFF0000000001FFF0000FFF8000
4562 000001FFF0000FFF8000000001FFF00007FFC000000001FFF00007FFE000000001FFF000
4563 03FFE000000001FFF00001FFF000000001FFF00000FFF800000001FFF000007FFC000000
4564 01FFF000003FFE00000003FFF000001FFF80000003FFF000000FFFC0000007FFF0000007
4565 FFF000000FFFF0000001FFFE00003FFFF0000000FFFFF001FF9FF00000003FFFFFFFFF0F
4566 F000000007FFFFFFFC03F000000001FFFFFFF000F0000000001FFFFFC000300000000000
4567 FFFC000000004C467AC458>I<FFFFFFFF8003FFFFFFFEFFFFFFFF8003FFFFFFFEFFFFFF
4568 FF8003FFFFFFFEFFFFFFFF8003FFFFFFFEFFFFFFFF8003FFFFFFFE003FFE00000000FFF8
4569 00003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE0000
4570 0000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF80000
4571 3FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000
4572 FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE
4573 00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF8
4574 00003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE0000
4575 0000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFFFFFFFFFFFFF80000
4576 3FFFFFFFFFFFFFF800003FFFFFFFFFFFFFF800003FFFFFFFFFFFFFF800003FFFFFFFFFFF
4577 FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE
4578 00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF8
4579 00003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE0000
4580 0000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF80000
4581 3FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000
4582 FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE
4583 00000000FFF800003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF8
4584 00003FFE00000000FFF800003FFE00000000FFF800003FFE00000000FFF800FFFFFFFF80
4585 03FFFFFFFEFFFFFFFF8003FFFFFFFEFFFFFFFF8003FFFFFFFEFFFFFFFF8003FFFFFFFEFF
4586 FFFFFF8003FFFFFFFE4F447CC358>I<FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0
4587 FFFFFFFFE0001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF000000
4588 1FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001F
4589 FF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF
4590 0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF00
4591 00001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000
4592 001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF000000
4593 1FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001F
4594 FF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF0000001FFF
4595 0000001FFF0000FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE023447DC3
4596 2A>I<0007FFFFFFFF0007FFFFFFFF0007FFFFFFFF0007FFFFFFFF0007FFFFFFFF000000
4597 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4598 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4599 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4600 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4601 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4602 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4603 1FFF000000001FFF000000001FFF000000001FFF000000001FFF000000001FFF00000000
4604 1FFF000000001FFF000000001FFF001FE0001FFF003FF0001FFF007FF8001FFF007FF800
4605 1FFF00FFFC001FFF00FFFC001FFF00FFFC001FFF00FFFC001FFF00FFFC003FFE00FFFC00
4606 3FFE007FF8007FFC007FF0007FF8003FE000FFF8001FC001FFF0000FFC07FFC00007FFFF
4607 FF800003FFFFFE0000007FFFF80000000FFF80000030457DC33A>I<FFFFFFFFF0000000
4608 FFFFFFFFF0000000FFFFFFFFF0000000FFFFFFFFF0000000FFFFFFFFF0000000003FFE00
4609 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000
4610 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00
4611 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000
4612 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00
4613 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000
4614 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00
4615 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000
4616 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000780003FFE00
4617 00000780003FFE0000000780003FFE0000000780003FFE0000000F80003FFE0000000F00
4618 003FFE0000000F00003FFE0000000F00003FFE0000000F00003FFE0000001F00003FFE00
4619 00001F00003FFE0000001F00003FFE0000003F00003FFE0000003F00003FFE0000007E00
4620 003FFE0000007E00003FFE000000FE00003FFE000001FE00003FFE000003FE00003FFE00
4621 0007FE00003FFE00001FFE00003FFE00007FFE00003FFE0003FFFE00FFFFFFFFFFFFFC00
4622 FFFFFFFFFFFFFC00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC0039447CC3
4623 43>76 D<FFFFFE0000000000007FFFFF80FFFFFF000000000000FFFFFF80FFFFFF000000
4624 000000FFFFFF80FFFFFF800000000001FFFFFF80FFFFFF800000000001FFFFFF80003FFF
4625 800000000001FFFE0000003DFFC00000000003DFFE0000003DFFC00000000003DFFE0000
4626 003CFFE000000000079FFE0000003CFFE000000000079FFE0000003C7FF0000000000F1F
4627 FE0000003C7FF0000000000F1FFE0000003C3FF8000000001E1FFE0000003C3FF8000000
4628 001E1FFE0000003C1FFC000000003C1FFE0000003C1FFC000000003C1FFE0000003C1FFC
4629 000000003C1FFE0000003C0FFE00000000781FFE0000003C0FFE00000000781FFE000000
4630 3C07FF00000000F01FFE0000003C07FF00000000F01FFE0000003C03FF80000001E01FFE
4631 0000003C03FF80000001E01FFE0000003C01FFC0000003C01FFE0000003C01FFC0000003
4632 C01FFE0000003C01FFC0000003C01FFE0000003C00FFE0000007801FFE0000003C00FFE0
4633 000007801FFE0000003C007FF000000F001FFE0000003C007FF000000F001FFE0000003C
4634 003FF800001E001FFE0000003C003FF800001E001FFE0000003C001FFC00003C001FFE00
4635 00003C001FFC00003C001FFE0000003C001FFC00003C001FFE0000003C000FFE00007800
4636 1FFE0000003C000FFE000078001FFE0000003C0007FF0000F0001FFE0000003C0007FF00
4637 00F0001FFE0000003C0003FF8001E0001FFE0000003C0003FF8001E0001FFE0000003C00
4638 01FFC003C0001FFE0000003C0001FFC003C0001FFE0000003C0000FFE00780001FFE0000
4639 003C0000FFE00780001FFE0000003C0000FFE00780001FFE0000003C00007FF00F00001F
4640 FE0000003C00007FF00F00001FFE0000003C00003FF81E00001FFE0000003C00003FF81E
4641 00001FFE0000003C00001FFC3C00001FFE0000003C00001FFC3C00001FFE0000003C0000
4642 0FFE7800001FFE0000003C00000FFE7800001FFE0000003C00000FFE7800001FFE000000
4643 3C000007FFF000001FFE0000003C000007FFF000001FFE0000003C000003FFE000001FFE
4644 0000003C000003FFE000001FFE0000003C000001FFC000001FFE0000003C000001FFC000
4645 001FFE0000003C000000FF8000001FFE0000003C000000FF8000001FFE0000FFFFFF0000
4646 FF80007FFFFFFF80FFFFFF00007F00007FFFFFFF80FFFFFF00007F00007FFFFFFF80FFFF
4647 FF00003E00007FFFFFFF80FFFFFF00001C00007FFFFFFF8061447CC36A>I<FFFFFF0000
4648 0001FFFFFEFFFFFF80000001FFFFFEFFFFFFC0000001FFFFFEFFFFFFC0000001FFFFFEFF
4649 FFFFE0000001FFFFFE003FFFF0000000007800003FFFF8000000007800003DFFFC000000
4650 007800003DFFFE000000007800003CFFFE000000007800003C7FFF000000007800003C3F
4651 FF800000007800003C1FFFC00000007800003C0FFFE00000007800003C07FFF000000078
4652 00003C07FFF80000007800003C03FFF80000007800003C01FFFC0000007800003C00FFFE
4653 0000007800003C007FFF0000007800003C003FFF8000007800003C003FFFC00000780000
4654 3C001FFFC000007800003C000FFFE000007800003C0007FFF000007800003C0003FFF800
4655 007800003C0001FFFC00007800003C0000FFFE00007800003C0000FFFF00007800003C00
4656 007FFF00007800003C00003FFF80007800003C00001FFFC0007800003C00000FFFE00078
4657 00003C000007FFF0007800003C000007FFF8007800003C000003FFF8007800003C000001
4658 FFFC007800003C000000FFFE007800003C0000007FFF007800003C0000003FFF80780000
4659 3C0000001FFFC07800003C0000001FFFE07800003C0000000FFFE07800003C00000007FF
4660 F07800003C00000003FFF87800003C00000001FFFC7800003C00000000FFFE7800003C00
4661 000000FFFF7800003C000000007FFF7800003C000000003FFFF800003C000000001FFFF8
4662 00003C000000000FFFF800003C0000000007FFF800003C0000000003FFF800003C000000
4663 0003FFF800003C0000000001FFF800003C0000000000FFF800003C00000000007FF80000
4664 3C00000000003FF800003C00000000001FF800003C00000000001FF800003C0000000000
4665 0FF800003C000000000007F800FFFFFF0000000003F800FFFFFF0000000001F800FFFFFF
4666 0000000000F800FFFFFF00000000007800FFFFFF000000000078004F447CC358>I<0000
4667 0007FFC0000000000000FFFFFE000000000007FFFFFFC0000000001FFFFFFFF000000000
4668 7FFE00FFFC00000001FFF0001FFF00000007FF800003FFC000000FFF000001FFE000001F
4669 FC0000007FF000003FF80000003FF800007FF00000001FFC0000FFF00000001FFE0001FF
4670 E00000000FFF0003FFC000000007FF8003FFC000000007FF8007FF8000000003FFC007FF
4671 8000000003FFC00FFF0000000001FFE00FFF0000000001FFE01FFF0000000001FFF01FFE
4672 0000000000FFF03FFE0000000000FFF83FFE0000000000FFF83FFE0000000000FFF87FFE
4673 0000000000FFFC7FFC00000000007FFC7FFC00000000007FFC7FFC00000000007FFC7FFC
4674 00000000007FFCFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC
4675 00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC
4676 00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC
4677 00000000007FFEFFFC00000000007FFE7FFC00000000007FFC7FFE0000000000FFFC7FFE
4678 0000000000FFFC7FFE0000000000FFFC3FFE0000000000FFF83FFE0000000000FFF83FFF
4679 0000000001FFF81FFF0000000001FFF01FFF0000000001FFF01FFF8000000003FFF00FFF
4680 8000000003FFE00FFF8000000003FFE007FFC000000007FFC003FFC000000007FF8003FF
4681 E00000000FFF8001FFF00000001FFF0000FFF80000003FFE00007FFC0000007FFC00003F
4682 FE000000FFF800001FFF000001FFF000000FFFC00007FFE0000007FFF0001FFFC0000001
4683 FFFE00FFFF00000000FFFFFFFFFE000000003FFFFFFFF80000000007FFFFFFC000000000
4684 00FFFFFE00000000000007FFC000000047467AC454>I<FFFFFFFFFFFF000000FFFFFFFF
4685 FFFFF00000FFFFFFFFFFFFFE0000FFFFFFFFFFFFFF8000FFFFFFFFFFFFFFE000001FFF00
4686 000FFFF000001FFF000001FFF800001FFF0000007FFC00001FFF0000003FFE00001FFF00
4687 00001FFF00001FFF0000000FFF80001FFF0000000FFF80001FFF0000000FFFC0001FFF00
4688 000007FFC0001FFF00000007FFC0001FFF00000007FFE0001FFF00000007FFE0001FFF00
4689 000007FFE0001FFF00000007FFE0001FFF00000007FFE0001FFF00000007FFE0001FFF00
4690 000007FFE0001FFF00000007FFE0001FFF00000007FFE0001FFF00000007FFC0001FFF00
4691 000007FFC0001FFF0000000FFF80001FFF0000000FFF80001FFF0000000FFF00001FFF00
4692 00001FFF00001FFF0000003FFE00001FFF0000007FFC00001FFF000001FFF800001FFF00
4693 000FFFF000001FFFFFFFFFFFC000001FFFFFFFFFFF0000001FFFFFFFFFFC0000001FFFFF
4694 FFFFC00000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4695 0000000000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4696 0000000000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4697 0000000000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4698 0000000000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4699 0000000000001FFF000000000000001FFF000000000000001FFF000000000000001FFF00
4700 0000000000001FFF000000000000FFFFFFFFE000000000FFFFFFFFE000000000FFFFFFFF
4701 E000000000FFFFFFFFE000000000FFFFFFFFE00000000043447DC34D>I<00000007FFC0
4702 000000000000FFFFFE000000000007FFFFFFC0000000001FFFFFFFF0000000007FFE00FF
4703 FC00000001FFF0001FFF00000007FFC00007FFC000000FFF000001FFE000001FFE000000
4704 FFF000003FFC0000007FF800007FF80000003FFC0000FFF00000001FFE0001FFE0000000
4705 0FFF0003FFC000000007FF8003FFC000000007FF8007FF8000000003FFC007FF80000000
4706 03FFC00FFF8000000003FFE00FFF0000000001FFE01FFF0000000001FFF01FFF00000000
4707 01FFF03FFE0000000000FFF83FFE0000000000FFF83FFE0000000000FFF87FFE00000000
4708 00FFFC7FFE0000000000FFFC7FFC00000000007FFC7FFC00000000007FFC7FFC00000000
4709 007FFCFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000
4710 007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000
4711 007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000007FFEFFFC00000000
4712 007FFEFFFC00000000007FFE7FFC00000000007FFC7FFC00000000007FFC7FFC00000000
4713 007FFC7FFE0000000000FFFC3FFE0000000000FFF83FFE0000000000FFF83FFE00000000
4714 00FFF81FFE0000000000FFF01FFF0000000001FFF01FFF0000000001FFF00FFF00000000
4715 01FFE00FFF8000FE0003FFE007FF8003FF8003FFC003FFC007FFC007FF8003FFC00FFFE0
4716 07FF8001FFE01F83F00FFF0000FFF01E00F81FFE00007FF83E007C3FFC00003FFC3C003E
4717 7FF800001FFE3C001EFFF000000FFF3C001FFFE0000007FFFE001FFFC0000001FFFE001F
4718 FF00000000FFFF80FFFE000000003FFFFFFFF80000000007FFFFFFE00002000000FFFFFF
4719 F0000700000007FFC7F00007000000000007F80007000000000003FC000F000000000003
4720 FE001F000000000003FF80FF000000000003FFFFFF000000000001FFFFFE000000000001
4721 FFFFFE000000000001FFFFFE000000000000FFFFFE000000000000FFFFFC000000000000
4722 FFFFFC0000000000007FFFF80000000000007FFFF00000000000003FFFF0000000000000
4723 1FFFE00000000000000FFFC000000000000007FF0000000000000001FC0048587AC454>
4724 I<FFFFFFFFFFF800000000FFFFFFFFFFFFC0000000FFFFFFFFFFFFF8000000FFFFFFFFFF
4725 FFFE000000FFFFFFFFFFFFFF800000001FFF00003FFFE00000001FFF000003FFF0000000
4726 1FFF000000FFF80000001FFF0000007FFC0000001FFF0000003FFE0000001FFF0000001F
4727 FF0000001FFF0000001FFF0000001FFF0000001FFF8000001FFF0000000FFF8000001FFF
4728 0000000FFF8000001FFF0000000FFFC000001FFF0000000FFFC000001FFF0000000FFFC0
4729 00001FFF0000000FFFC000001FFF0000000FFFC000001FFF0000000FFFC000001FFF0000
4730 000FFFC000001FFF0000000FFF8000001FFF0000000FFF8000001FFF0000001FFF000000
4731 1FFF0000001FFF0000001FFF0000003FFE0000001FFF0000003FFC0000001FFF0000007F
4732 FC0000001FFF000001FFF00000001FFF000007FFE00000001FFF00003FFF800000001FFF
4733 FFFFFFFF000000001FFFFFFFFFF8000000001FFFFFFFFFE0000000001FFFFFFFFFF80000
4734 00001FFF0000FFFC000000001FFF00003FFF000000001FFF00000FFF800000001FFF0000
4735 07FFC00000001FFF000003FFE00000001FFF000003FFE00000001FFF000001FFF0000000
4736 1FFF000001FFF00000001FFF000000FFF80000001FFF000000FFF80000001FFF000000FF
4737 F80000001FFF000000FFF80000001FFF000000FFF80000001FFF000000FFF80000001FFF
4738 000000FFF80000001FFF000000FFFC0000001FFF000000FFFC0000001FFF000000FFFC00
4739 00001FFF000000FFFC0000001FFF000000FFFC0000001FFF000000FFFC0000001FFF0000
4740 00FFFC000F001FFF000000FFFE000F001FFF000000FFFE000F001FFF0000007FFE000F00
4741 1FFF0000007FFF001F001FFF0000003FFF001EFFFFFFFFE0001FFF803EFFFFFFFFE0000F
4742 FFE0FCFFFFFFFFE00007FFFFF8FFFFFFFFE00001FFFFF0FFFFFFFFE000007FFFE0000000
4743 0000000007FF8050457DC354>I<0000FFE0001C000007FFFE003C00003FFFFF807C0000
4744 FFFFFFE0FC0001FFFFFFF9FC0003FF801FFFFC0007FC0001FFFC000FF800007FFC001FF0
4745 00003FFC003FE000000FFC003FC0000007FC007FC0000003FC007F80000003FC007F8000
4746 0001FC007F80000000FC00FF80000000FC00FF800000007C00FF800000007C00FFC00000
4747 007C00FFC00000007C00FFE00000003C00FFF00000003C00FFF80000003C00FFFC000000
4748 00007FFE00000000007FFFE0000000007FFFFE000000003FFFFFF00000003FFFFFFF0000
4749 001FFFFFFFE000001FFFFFFFFC00000FFFFFFFFE000007FFFFFFFF800003FFFFFFFFC000
4750 01FFFFFFFFE000007FFFFFFFF000001FFFFFFFF8000007FFFFFFFC000000FFFFFFFC0000
4751 000FFFFFFE00000000FFFFFE0000000007FFFF00000000007FFF00000000003FFF000000
4752 00000FFF800000000007FF800000000003FF80F000000003FF80F000000001FF80F00000
4753 0001FF80F000000000FF80F000000000FF80F800000000FF80F800000000FF80F8000000
4754 00FF00FC00000000FF00FC00000000FF00FE00000001FF00FF00000001FE00FF80000003
4755 FE00FFC0000003FC00FFE0000007FC00FFF800000FF800FFFF00003FF000FFFFF800FFE0
4756 00FE7FFFFFFFC000FC1FFFFFFF0000F807FFFFFC0000F000FFFFF00000E00007FF800000
4757 31467AC43E>I<3FFFFFFFFFFFFFFFE03FFFFFFFFFFFFFFFE03FFFFFFFFFFFFFFFE03FFF
4758 FFFFFFFFFFFFE03FFFFFFFFFFFFFFFE03FFE000FFF8003FFE07FE0000FFF80003FF07FC0
4759 000FFF80001FF07F00000FFF800007F07F00000FFF800007F07E00000FFF800003F07C00
4760 000FFF800001F07C00000FFF800001F07C00000FFF800001F07800000FFF800000F07800
4761 000FFF800000F07800000FFF800000F07800000FFF800000F0F800000FFF800000F8F000
4762 000FFF80000078F000000FFF80000078F000000FFF80000078F000000FFF80000078F000
4763 000FFF800000780000000FFF800000000000000FFF800000000000000FFF800000000000
4764 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4765 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4766 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4767 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4768 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4769 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4770 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4771 000FFF800000000000000FFF800000000000000FFF800000000000000FFF800000000000
4772 000FFF800000000000000FFF800000000000000FFF800000000007FFFFFFFFFF00000007
4773 FFFFFFFFFF00000007FFFFFFFFFF00000007FFFFFFFFFF00000007FFFFFFFFFF00004543
4774 7CC24E>I<FFFFFFFF80000FFFFFF8FFFFFFFF80000FFFFFF8FFFFFFFF80000FFFFFF8FF
4775 FFFFFF80000FFFFFF8FFFFFFFF80000FFFFFF8003FFE0000000003E000003FFE00000000
4776 03E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE
4777 0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E0
4778 00003FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000
4779 000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E00000
4780 3FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE00000000
4781 03E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE
4782 0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E0
4783 00003FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000
4784 000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E00000
4785 3FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE00000000
4786 03E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE
4787 0000000003E000003FFE0000000003E000003FFE0000000003E000003FFE0000000003E0
4788 00001FFE0000000007E000001FFE0000000007C000001FFF0000000007C000001FFF0000
4789 00000FC000000FFF000000000F8000000FFF800000001F80000007FF800000001F000000
4790 03FFC00000003F00000003FFC00000007E00000001FFE0000000FC00000000FFF0000003
4791 FC000000007FFC000007F8000000003FFF00003FF0000000000FFFF003FFE00000000007
4792 FFFFFFFF800000000001FFFFFFFF0000000000007FFFFFFC0000000000000FFFFFE00000
4793 00000000007FFE000000004D457CC356>I<FFFFFFFF000000FFFFFFFFFFFFFF000000FF
4794 FFFFFFFFFFFF000000FFFFFFFFFFFFFF000000FFFFFFFFFFFFFF000000FFFFFF003FFE00
4795 00000000FC00003FFF0000000000FC00001FFF0000000000F800001FFF8000000001F800
4796 000FFF8000000001F000000FFFC000000001F000000FFFC000000003F0000007FFC00000
4797 0003E0000007FFE000000007E0000003FFE000000007C0000003FFF00000000FC0000001
4798 FFF00000000F80000001FFF80000000F80000001FFF80000001F80000000FFFC0000001F
4799 00000000FFFC0000003F000000007FFC0000003E000000007FFE0000007E000000003FFE
4800 0000007C000000003FFF0000007C000000003FFF000000FC000000001FFF800000F80000
4801 00001FFF800001F8000000000FFF800001F0000000000FFFC00003F00000000007FFC000
4802 03E00000000007FFE00003E00000000007FFE00007E00000000003FFF00007C000000000
4803 03FFF0000FC00000000001FFF0000F800000000001FFF8001F800000000000FFF8001F00
4804 0000000000FFFC003F0000000000007FFC003E0000000000007FFE003E0000000000007F
4805 FE007E0000000000003FFE007C0000000000003FFF00FC0000000000001FFF00F8000000
4806 0000001FFF81F80000000000000FFF81F00000000000000FFFC1F00000000000000FFFC3
4807 F000000000000007FFC3E000000000000007FFE7E000000000000003FFE7C00000000000
4808 0003FFFFC000000000000001FFFF8000000000000001FFFF8000000000000001FFFF8000
4809 000000000000FFFF0000000000000000FFFF00000000000000007FFE0000000000000000
4810 7FFE00000000000000003FFC00000000000000003FFC00000000000000003FFC00000000
4811 000000001FF800000000000000001FF800000000000000000FF000000000000000000FF0
4812 000000000000000007E0000000000000000007E00000000050457EC355>I<FFFFFFFE00
4813 7FFFFFFF0000FFFFFEFFFFFFFE007FFFFFFF0000FFFFFEFFFFFFFE007FFFFFFF0000FFFF
4814 FEFFFFFFFE007FFFFFFF0000FFFFFEFFFFFFFE007FFFFFFF0000FFFFFE007FFC0000003F
4815 FE000000007C00007FFE0000003FFF000000007C00003FFE0000001FFF00000000780000
4816 3FFF0000001FFF000000007800003FFF0000001FFF80000000F800001FFF0000000FFF80
4817 000000F000001FFF8000000FFFC0000001F000000FFF80000007FFC0000001E000000FFF
4818 80000007FFC0000001E000000FFFC0000007FFE0000003E0000007FFC0000007FFE00000
4819 03C0000007FFE0000007FFE0000003C0000007FFE000000FFFF0000007C0000003FFE000
4820 000FFFF000000780000003FFF000000FFFF800000F80000001FFF000001EFFF800000F00
4821 000001FFF000001EFFF800000F00000001FFF800003EFFFC00001F00000000FFF800003C
4822 7FFC00001E00000000FFFC00003C7FFC00001E000000007FFC00007C7FFE00003C000000
4823 007FFC0000783FFE00003C000000007FFE0000783FFF00007C000000003FFE0000F01FFF
4824 000078000000003FFE0000F01FFF000078000000003FFF0001F01FFF8000F8000000001F
4825 FF0001E00FFF8000F0000000001FFF8001E00FFF8000F0000000000FFF8003E00FFFC001
4826 E0000000000FFF8003C007FFC001E0000000000FFFC003C007FFE003E00000000007FFC0
4827 078003FFE003C00000000007FFC0078003FFE003C00000000007FFE00F8003FFF007C000
4828 00000003FFE00F0001FFF007800000000003FFF00F0001FFF007800000000001FFF01F00
4829 01FFF80F000000000001FFF01E0000FFF80F000000000001FFF81E0000FFFC1F00000000
4830 0000FFF83C00007FFC1E000000000000FFF83C00007FFC1E000000000000FFFC7C00007F
4831 FE3E0000000000007FFC7800003FFE3C0000000000007FFE7800003FFF3C000000000000
4832 3FFEF800003FFF780000000000003FFEF000001FFF780000000000003FFFF000001FFFF8
4833 0000000000001FFFE000000FFFF00000000000001FFFE000000FFFF00000000000001FFF
4834 E000000FFFF00000000000000FFFC0000007FFE00000000000000FFFC0000007FFE00000
4835 0000000007FFC0000007FFC000000000000007FF80000003FFC000000000000007FF8000
4836 0003FFC000000000000003FF00000001FF8000000000000003FF00000001FF8000000000
4837 000003FF00000001FF8000000000000001FE00000000FF0000000000000001FE00000000
4838 FF0000000000000000FC000000007E0000000000000000FC000000007E00000000000000
4839 00FC000000007E000000000000000078000000003C000000006F457EC374>I<FFFFFFFF
4840 8000007FFFFFFFFFFFFF8000007FFFFFFFFFFFFF8000007FFFFFFFFFFFFF8000007FFFFF
4841 FFFFFFFF8000007FFFFF003FFF8000000000FC00001FFFC000000001F800001FFFC00000
4842 0001F800000FFFE000000003F0000007FFF000000007E0000007FFF800000007E0000003
4843 FFF80000000FC0000001FFFC0000001F80000001FFFE0000001F80000000FFFE0000003F
4844 000000007FFF0000007E000000007FFF8000007E000000003FFF800000FC000000001FFF
4845 C00001F8000000001FFFE00001F8000000000FFFE00003F00000000007FFF00007E00000
4846 000003FFF80007E00000000003FFF8000FC00000000001FFFC001F800000000000FFFE00
4847 1F800000000000FFFE003F0000000000007FFF007E0000000000003FFF807E0000000000
4848 003FFF80FC0000000000001FFFC1F80000000000000FFFE1F80000000000000FFFF3F000
4849 000000000007FFF7E000000000000003FFFFE000000000000003FFFFC000000000000001
4850 FFFF8000000000000000FFFF8000000000000000FFFF00000000000000007FFE00000000
4851 000000003FFE00000000000000003FFE00000000000000003FFE00000000000000003FFE
4852 00000000000000003FFE00000000000000003FFE00000000000000003FFE000000000000
4853 00003FFE00000000000000003FFE00000000000000003FFE00000000000000003FFE0000
4854 0000000000003FFE00000000000000003FFE00000000000000003FFE0000000000000000
4855 3FFE00000000000000003FFE00000000000000003FFE00000000000000003FFE00000000
4856 000000003FFE00000000000000003FFE00000000000000003FFE00000000000000003FFE
4857 00000000000000003FFE00000000000000FFFFFFFF800000000000FFFFFFFF8000000000
4858 00FFFFFFFF800000000000FFFFFFFF800000000000FFFFFFFF80000050447EC355>89
4859 D<0001FFE0000000001FFFFE000000007FFFFF80000001FFFFFFE0000003FE007FF80000
4860 07FC001FFC000007FE000FFE00000FFF0007FF00000FFF0007FF00000FFF0003FF80000F
4861 FF0003FF80000FFF0003FF80000FFF0001FFC00007FE0001FFC00003FC0001FFC00000F0
4862 0001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000003
4863 FFFFC0000000FFFFFFC0000007FFFFFFC000003FFFF1FFC00000FFFC01FFC00003FFE001
4864 FFC0000FFF8001FFC0001FFE0001FFC0003FFC0001FFC0003FF80001FFC0007FF80001FF
4865 C0007FF00001FFC000FFF00001FFC000FFE00001FFC000FFE00001FFC000FFE00001FFC0
4866 00FFE00003FFC000FFE00003FFC000FFF00007FFC0007FF8000FFFC0007FF8001FFFF000
4867 3FFE003EFFFFC01FFF80FC7FFFC007FFFFF87FFFC003FFFFE01FFFC0007FFF8007FFC000
4868 0FFC00000000322F7DAD36>97 D<007FC000000000FFFFC000000000FFFFC000000000FF
4869 FFC000000000FFFFC000000000FFFFC00000000003FFC00000000001FFC00000000001FF
4870 C00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0
4871 0000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000
4872 00000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000
4873 000001FFC00FF8000001FFC0FFFF800001FFC3FFFFE00001FFCFFFFFF80001FFDFC03FFC
4874 0001FFFF000FFE0001FFFC0003FF0001FFF80001FF8001FFF00001FFC001FFE00000FFE0
4875 01FFC00000FFE001FFC000007FF001FFC000007FF001FFC000007FF801FFC000003FF801
4876 FFC000003FF801FFC000003FF801FFC000003FFC01FFC000003FFC01FFC000003FFC01FF
4877 C000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC0
4878 00003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FF801FFC000
4879 003FF801FFC000007FF801FFC000007FF001FFC000007FF001FFC000007FF001FFC00000
4880 FFE001FFE00000FFC001FFF00001FFC001FFF80003FF8001FF7C0007FF0001FE3E000FFE
4881 0001FC1FC07FFC0001F80FFFFFF00001F003FFFFC00001E000FFFF00000000001FF00000
4882 36467DC43E>I<00003FFC00000001FFFFC000000FFFFFF000003FFFFFFC00007FF003FE
4883 0000FFC001FF0003FF8003FF0007FF0007FF8007FE0007FF800FFE0007FF801FFC0007FF
4884 801FFC0007FF803FF80007FF803FF80003FF007FF80001FE007FF8000078007FF0000000
4885 007FF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000
4886 00FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000
4887 00FFF0000000007FF8000000007FF8000000007FF8000000003FF8000000003FFC000003
4888 C03FFC000003C01FFE000007C00FFE000007800FFF00000F8007FF80001F0003FFC0003E
4889 0001FFF0007C00007FFC03F800003FFFFFF000000FFFFFC0000003FFFF000000003FF800
4890 002A2F7CAD32>I<0000000003FE0000000007FFFE0000000007FFFE0000000007FFFE00
4891 00000007FFFE0000000007FFFE00000000001FFE00000000000FFE00000000000FFE0000
4892 0000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE000000
4893 00000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000
4894 000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000003FE0
4895 0FFE000003FFFC0FFE00000FFFFF8FFE00003FFFFFCFFE0000FFF807FFFE0001FFC001FF
4896 FE0003FF80007FFE0007FF00003FFE000FFE00001FFE000FFC00000FFE001FFC00000FFE
4897 003FF800000FFE003FF800000FFE003FF800000FFE007FF800000FFE007FF000000FFE00
4898 7FF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FF
4899 F000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF0
4900 00000FFE00FFF000000FFE00FFF000000FFE007FF000000FFE007FF000000FFE007FF000
4901 000FFE007FF800000FFE003FF800000FFE003FF800000FFE001FFC00001FFE001FFC0000
4902 1FFE000FFE00003FFE0007FE00007FFE0003FF0000FFFF0001FFC003FFFFFC00FFF01FEF
4903 FFFC007FFFFF8FFFFC001FFFFE0FFFFC0007FFF80FFFFC00007FC00FF80036467CC43E>
4904 I<00003FF800000003FFFF8000000FFFFFE000003FFFFFF000007FF83FF80000FFC007FC
4905 0001FF8003FE0003FF0001FF0007FE0000FF800FFC0000FF801FFC00007FC01FF800007F
4906 C03FF800003FE03FF800003FE07FF800003FE07FF000003FE07FF000003FF07FF000001F
4907 F0FFF000001FF0FFF000001FF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFF
4908 F0FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000007FF0000000
4909 007FF0000000007FF8000000007FF8000000003FF8000000003FF8000000F01FFC000000
4910 F01FFC000001F00FFE000001E007FF000003E003FF800007C001FFC0000F8000FFF0003F
4911 00007FFE01FE00001FFFFFFC000007FFFFF0000001FFFFC00000001FFE00002C2F7DAD33
4912 >I<000000FF8000000FFFE000007FFFF00001FFFFF80003FF8FFC000FFE0FFE001FFC1F
4913 FE001FF81FFE003FF81FFE007FF01FFE007FF01FFE007FF00FFC00FFE00FFC00FFE003F0
4914 00FFE000C000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000
4915 FFE0000000FFE0000000FFE0000000FFE0000000FFE00000FFFFFFF800FFFFFFF800FFFF
4916 FFF800FFFFFFF800FFFFFFF80000FFE0000000FFE0000000FFE0000000FFE0000000FFE0
4917 000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE000
4918 0000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE00000
4919 00FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000
4920 FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FF
4921 E000007FFFFFE0007FFFFFE0007FFFFFE0007FFFFFE0007FFFFFE00027467DC522>I<00
4922 00FFE0007E00000FFFFE03FF80003FFFFF8FFF8000FFFFFFFFFFC001FFC07FFF3FC003FF
4923 001FF83FC007FE000FFC3FC00FFC0007FE1F801FFC0007FF0F001FF80003FF00001FF800
4924 03FF00003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003
4925 FF80003FF80003FF80003FF80003FF80003FF80003FF80001FF80003FF00001FF80003FF
4926 00001FFC0007FF00000FFC0007FE000007FE000FFC000003FF001FF8000001FFC07FF000
4927 0003FFFFFFE0000003FFFFFF800000078FFFFE0000000780FFE00000000F800000000000
4928 0F8000000000000F8000000000000F8000000000000FC000000000000FE000000000000F
4929 F000000000000FFFFFFFC000000FFFFFFFFC000007FFFFFFFF800007FFFFFFFFE00003FF
4930 FFFFFFF00001FFFFFFFFFC0000FFFFFFFFFC0003FFFFFFFFFE000FFFFFFFFFFF001FF000
4931 007FFF003FC0000007FF007F80000001FF807F80000000FF80FF00000000FF80FF000000
4932 007F80FF000000007F80FF000000007F80FF000000007F80FF80000000FF807F80000000
4933 FF007FC0000001FF003FE0000003FE001FF0000007FC000FFE00003FF80007FFC001FFF0
4934 0001FFFFFFFFC000007FFFFFFF0000000FFFFFF8000000007FFF00000032427DAC38>I<
4935 007FC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000FF
4936 FFC00000000003FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF
4937 C00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0
4938 0000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000
4939 00000001FFC00000000001FFC00000000001FFC00000000001FFC007FE000001FFC03FFF
4940 800001FFC0FFFFE00001FFC1FFFFF80001FFC7F03FFC0001FFCF801FFC0001FFDF000FFE
4941 0001FFDE000FFE0001FFFC000FFE0001FFF80007FF0001FFF00007FF0001FFF00007FF00
4942 01FFE00007FF0001FFE00007FF0001FFE00007FF0001FFC00007FF0001FFC00007FF0001
4943 FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF
4944 C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0
4945 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000
4946 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007
4947 FF0001FFC00007FF0001FFC00007FF00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFF
4948 FEFFFFFF83FFFFFEFFFFFF83FFFFFE37457CC43E>I<007C0001FF0003FF8007FFC007FF
4949 C00FFFE00FFFE00FFFE00FFFE00FFFE007FFC007FFC003FF8001FF00007C000000000000
4950 00000000000000000000000000000000000000000000000000007FC07FFFC07FFFC07FFF
4951 C07FFFC07FFFC003FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF
4952 C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF
4953 C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF
4954 C0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF18467CC520>I<000003E000000FF800001FFC00
4955 003FFE00003FFE00007FFF00007FFF00007FFF00007FFF00007FFF00003FFE00003FFE00
4956 001FFC00000FF8000003E000000000000000000000000000000000000000000000000000
4957 000000000000000000000000000000000001FF0003FFFF0003FFFF0003FFFF0003FFFF00
4958 03FFFF00000FFF000007FF000007FF000007FF000007FF000007FF000007FF000007FF00
4959 0007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF00
4960 0007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF00
4961 0007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF00
4962 0007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF000007FF1F
4963 8007FF3FC007FF7FE007FFFFF007FFFFF00FFEFFF00FFEFFF00FFCFFF01FFCFFE01FF87F
4964 E03FF03FC0FFE01FFFFF800FFFFF0003FFFC0000FFC000205A86C522>I<007FC0000000
4965 00FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000
4966 03FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001
4967 FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FF
4968 C00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0
4969 0000000001FFC00000000001FFC00000000001FFC00000000001FFC0007FFFE001FFC000
4970 7FFFE001FFC0007FFFE001FFC0007FFFE001FFC0007FFFE001FFC0000FE00001FFC0001F
4971 C00001FFC0003F000001FFC0007E000001FFC000FC000001FFC003F8000001FFC007E000
4972 0001FFC00FC0000001FFC01F80000001FFC07F00000001FFC0FE00000001FFC1FC000000
4973 01FFC3FE00000001FFC7FE00000001FFDFFF00000001FFFFFF80000001FFFFFFC0000001
4974 FFFFFFC0000001FFF9FFE0000001FFE1FFF0000001FFC0FFF8000001FF807FF8000001FF
4975 803FFC000001FF803FFE000001FF801FFF000001FF800FFF000001FF8007FF800001FF80
4976 07FFC00001FF8003FFE00001FF8001FFE00001FF8000FFF00001FF8000FFF80001FF8000
4977 7FFC0001FF80003FFC00FFFFFF03FFFFF8FFFFFF03FFFFF8FFFFFF03FFFFF8FFFFFF03FF
4978 FFF8FFFFFF03FFFFF835457DC43B>I<007FC000FFFFC000FFFFC000FFFFC000FFFFC000
4979 FFFFC00003FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4980 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4981 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4982 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4983 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4984 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000
4985 01FFC00001FFC00001FFC00001FFC00001FFC000FFFFFF80FFFFFF80FFFFFF80FFFFFF80
4986 FFFFFF8019457CC420>I<007F8007FE00000FFC0000FFFF803FFFC0007FFF8000FFFF80
4987 FFFFF001FFFFE000FFFF81FFFFF803FFFFF000FFFF87F01FFC0FE03FF800FFFF8FC00FFE
4988 1F801FFC0003FF9F000FFF3E001FFE0001FF9E0007FF3C000FFE0001FFBC0007FF78000F
4989 FE0001FFF80003FFF00007FF0001FFF80003FFF00007FF0001FFF00003FFE00007FF0001
4990 FFE00003FFC00007FF0001FFE00003FFC00007FF0001FFE00003FFC00007FF0001FFC000
4991 03FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF80
4992 0007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF
4993 0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FF
4994 C00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003
4995 FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF8000
4996 07FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF00
4997 01FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC0
4998 0003FF800007FF0001FFC00003FF800007FF00FFFFFF81FFFFFF03FFFFFEFFFFFF81FFFF
4999 FF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FF
5000 FFFE572D7CAC5E>I<007F8007FE0000FFFF803FFF8000FFFF80FFFFE000FFFF81FFFFF8
5001 00FFFF87F03FFC00FFFF8F801FFC0003FF9F000FFE0001FF9E000FFE0001FFBC000FFE00
5002 01FFF80007FF0001FFF00007FF0001FFF00007FF0001FFE00007FF0001FFE00007FF0001
5003 FFE00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF
5004 C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0
5005 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000
5006 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007
5007 FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF
5008 00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFE
5009 372D7CAC3E>I<00001FFC0000000001FFFFC000000007FFFFF00000001FFFFFFC000000
5010 7FF80FFF000000FFC001FF800001FF8000FFC00003FE00003FE00007FE00003FF0000FFC
5011 00001FF8000FF800000FF8001FF800000FFC001FF800000FFC003FF800000FFE003FF000
5012 0007FE007FF0000007FF007FF0000007FF007FF0000007FF007FF0000007FF00FFF00000
5013 07FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007
5014 FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF807FF0000007FF
5015 007FF0000007FF007FF0000007FF007FF0000007FF003FF800000FFE003FF800000FFE00
5016 1FF800000FFC001FFC00001FFC000FFC00001FF80007FE00003FF00007FE00003FF00003
5017 FF8000FFE00001FFC001FFC000007FF80FFF0000003FFFFFFE0000000FFFFFF800000001
5018 FFFFC0000000001FFC000000312F7DAD38>I<007FC00FF80000FFFFC0FFFF8000FFFFC3
5019 FFFFE000FFFFCFFFFFF800FFFFDFC03FFC00FFFFFF001FFE0003FFFC0007FF0001FFF800
5020 03FF8001FFF00003FFC001FFE00001FFE001FFC00001FFE001FFC00000FFF001FFC00000
5021 FFF001FFC000007FF801FFC000007FF801FFC000007FF801FFC000007FF801FFC000003F
5022 FC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC
5023 01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01
5024 FFC000003FFC01FFC000007FF801FFC000007FF801FFC000007FF801FFC000007FF001FF
5025 C00000FFF001FFC00000FFF001FFC00001FFE001FFE00001FFC001FFF00003FFC001FFF8
5026 0007FF8001FFFC000FFF0001FFFE001FFE0001FFDFC07FFC0001FFCFFFFFF00001FFC3FF
5027 FFC00001FFC0FFFF000001FFC01FF0000001FFC00000000001FFC00000000001FFC00000
5028 000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0000000
5029 0001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000
5030 FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFFFF8000000036
5031 407DAC3E>I<00003FE0001E000003FFFC003E00000FFFFF007E00003FFFFF807E0000FF
5032 F80FE0FE0001FFE003F1FE0003FFC001F1FE0007FF8000FBFE000FFF00007FFE000FFE00
5033 003FFE001FFE00001FFE003FFC00001FFE003FFC00000FFE003FF800000FFE007FF80000
5034 0FFE007FF800000FFE007FF800000FFE00FFF000000FFE00FFF000000FFE00FFF000000F
5035 FE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE
5036 00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE007FF800000FFE00
5037 7FF800000FFE007FF800000FFE007FF800000FFE003FFC00000FFE003FFC00000FFE001F
5038 FE00001FFE001FFE00003FFE000FFF00007FFE0007FF0000FFFE0003FF8001FFFE0001FF
5039 E003EFFE0000FFF01FCFFE00007FFFFF8FFE00001FFFFE0FFE000003FFF80FFE0000007F
5040 C00FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000000000
5041 0FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000F
5042 FE00000000000FFE00000000000FFE00000000000FFE0000000007FFFFFC00000007FFFF
5043 FC00000007FFFFFC00000007FFFFFC00000007FFFFFC36407CAC3B>I<007F807F00FFFF
5044 81FFE0FFFF83FFF0FFFF8FFFF8FFFF8F8FFCFFFF9F1FFE03FFBE1FFE01FFBC1FFE01FFF8
5045 1FFE01FFF81FFE01FFF01FFE01FFF00FFC01FFE007F801FFE001E001FFE0000001FFE000
5046 0001FFE0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC00000
5047 01FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001
5048 FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FF
5049 C0000001FFC0000001FFC00000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFF
5050 E000272D7DAC2E>I<001FFC038000FFFF878003FFFFFF800FFFFFFF801FF003FF803FC0
5051 00FF803F80003F807F00001F807E00001F80FE00000F80FE00000F80FE00000780FF0000
5052 0780FF00000780FF80000780FFE0000000FFFE0000007FFFF000007FFFFF00003FFFFFC0
5053 003FFFFFF0001FFFFFFC000FFFFFFE0003FFFFFF0001FFFFFF80007FFFFF80000FFFFFC0
5054 00003FFFC0000003FFE0000000FFE0F000003FE0F000003FE0F800001FE0F800000FE0F8
5055 00000FE0FC00000FE0FC00000FE0FE00000FC0FF00001FC0FF00001FC0FF80003F80FFE0
5056 007F00FFF803FE00FFFFFFFC00FCFFFFF800F03FFFE000E007FE0000232F7CAD2C>I<00
5057 01E000000001E000000001E000000001E000000001E000000003E000000003E000000003
5058 E000000003E000000007E000000007E00000000FE00000000FE00000001FE00000001FE0
5059 0000003FE00000007FE0000000FFE0000003FFE000000FFFFFFF80FFFFFFFF80FFFFFFFF
5060 80FFFFFFFF80FFFFFFFF8000FFE0000000FFE0000000FFE0000000FFE0000000FFE00000
5061 00FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000
5062 FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FF
5063 E0000000FFE0000000FFE001E000FFE001E000FFE001E000FFE001E000FFE001E000FFE0
5064 01E000FFE001E000FFE001E000FFE001E000FFE003E000FFF003C0007FF003C0007FF007
5065 C0003FF80F80001FFC1F00000FFFFF000007FFFC000001FFF80000003FE00023407EBE2C
5066 >I<007FC00001FF00FFFFC003FFFF00FFFFC003FFFF00FFFFC003FFFF00FFFFC003FFFF
5067 00FFFFC003FFFF0003FFC0000FFF0001FFC00007FF0001FFC00007FF0001FFC00007FF00
5068 01FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001
5069 FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF
5070 C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0
5071 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000
5072 07FF0001FFC00007FF0001FFC00007FF0001FFC0000FFF0001FFC0000FFF0001FFC0001F
5073 FF0001FFC0001FFF0001FFC0003FFF0000FFC0003FFF0000FFE0007FFF80007FE001F7FF
5074 FE007FF807E7FFFE003FFFFFC7FFFE000FFFFF07FFFE0003FFFE07FFFE00007FF007FC00
5075 372E7CAC3E>I<FFFFFF0003FFFCFFFFFF0003FFFCFFFFFF0003FFFCFFFFFF0003FFFCFF
5076 FFFF0003FFFC01FFE000003E0000FFE000003C0000FFF000003C00007FF000007800007F
5077 F800007800007FF80000F800003FF80000F000003FFC0001F000001FFC0001E000001FFE
5078 0003E000000FFE0003C000000FFF0007C0000007FF000780000007FF800F80000003FF80
5079 0F00000003FFC00F00000003FFC01F00000001FFE01E00000001FFE03E00000000FFE03C
5080 00000000FFF07C000000007FF078000000007FF8F8000000003FF8F0000000003FFDF000
5081 0000001FFDE0000000001FFFE0000000000FFFC0000000000FFFC0000000000FFFC00000
5082 000007FF800000000007FF800000000003FF000000000003FF000000000001FE00000000
5083 0001FE000000000000FC000000000000FC00000000000078000000362C7EAB3B>I<FFFF
5084 FE1FFFFF801FFFF0FFFFFE1FFFFF801FFFF0FFFFFE1FFFFF801FFFF0FFFFFE1FFFFF801F
5085 FFF0FFFFFE1FFFFF801FFFF001FFC0003FE000007C0001FFC0003FF00000780001FFE000
5086 3FF00000F80000FFE0001FF80000F00000FFF0001FF80001F000007FF0000FFC0001E000
5087 007FF0000FFC0001E000007FF8001FFC0003E000003FF8001FFE0003C000003FFC003FFE
5088 0007C000001FFC003FFF00078000001FFC003FFF00078000001FFE0079FF000F8000000F
5089 FE0079FF800F0000000FFF00F9FF801F00000007FF00F0FFC01E00000007FF80F0FFC01E
5090 00000003FF81E07FC03C00000003FF81E07FE03C00000003FFC3E07FE07C00000001FFC3
5091 C03FF07800000001FFE7C03FF07800000000FFE7801FF0F000000000FFE7801FF8F00000
5092 0000FFFF801FF9F0000000007FFF000FFDE0000000007FFF000FFFE0000000003FFE0007
5093 FFC0000000003FFE0007FFC0000000003FFE0007FFC0000000001FFC0003FF8000000000
5094 1FFC0003FF80000000000FF80001FF00000000000FF80001FF00000000000FF00000FF00
5095 0000000007F00000FE000000000007F00000FE000000000003E000007C000000000003C0
5096 00003C0000004C2C7EAB51>I<FFFFFE003FFFF0FFFFFE003FFFF0FFFFFE003FFFF0FFFF
5097 FE003FFFF0FFFFFE003FFFF000FFF00003E000007FF80007C000003FF8000F8000001FFC
5098 001F0000001FFE003F0000000FFF007E00000007FF807C00000003FFC0F800000001FFC1
5099 F000000001FFE3E000000000FFF7C0000000007FFF80000000003FFF80000000001FFF00
5100 000000001FFE00000000000FFF000000000007FF800000000003FFC00000000003FFC000
5101 00000007FFE0000000000FFFF0000000000FFFF8000000001F3FFC000000003E1FFC0000
5102 00007C1FFE00000000F80FFF00000001F007FF80000003F003FFC0000007E001FFC00000
5103 07C001FFE000000F8000FFF000001F00007FF800003E00003FFC00007E00001FFC00FFFF
5104 E000FFFFFCFFFFE000FFFFFCFFFFE000FFFFFCFFFFE000FFFFFCFFFFE000FFFFFC362C7E
5105 AB3B>I<FFFFFF0003FFFCFFFFFF0003FFFCFFFFFF0003FFFCFFFFFF0003FFFCFFFFFF00
5106 03FFFC01FFE000003E0000FFE000003C0000FFF000003C00007FF000007800007FF80000
5107 7800007FF80000F800003FF80000F000003FFC0001F000001FFC0001E000001FFE0003E0
5108 00000FFE0003C000000FFF0007C0000007FF000780000007FF800F80000003FF800F0000
5109 0003FFC00F00000003FFC01F00000001FFE01E00000001FFE03E00000000FFE03C000000
5110 00FFF07C000000007FF078000000007FF8F8000000003FF8F0000000003FFDF000000000
5111 1FFDE0000000001FFFE0000000000FFFC0000000000FFFC0000000000FFFC00000000007
5112 FF800000000007FF800000000003FF000000000003FF000000000001FE000000000001FE
5113 000000000000FC000000000000FC0000000000007800000000000078000000000000F800
5114 0000000000F0000000000001F0000000000001E00000001F0003E00000003F8003C00000
5115 007FC007C0000000FFE00780000000FFE00F80000000FFE00F00000000FFE01F00000000
5116 FFE03E00000000FFC07C000000007FC1F8000000007F07F0000000003FFFE0000000001F
5117 FFC00000000007FF000000000001FC000000000036407EAB3B>I<1FFFFFFFFF801FFFFF
5118 FFFF801FFFFFFFFF801FFFFFFFFF801FFC001FFF001FE0003FFE001FC0003FFE001F8000
5119 7FFC001F0000FFF8003F0001FFF0003E0001FFF0003E0003FFE0003E0007FFC0003C000F
5120 FF80003C000FFF80003C001FFF00003C003FFE00003C007FFC000000007FFC00000000FF
5121 F800000001FFF000000003FFE000000003FFE000000007FFC00000000FFF800780001FFF
5122 000780001FFF000780003FFE000780007FFC000F8000FFF8000F0000FFF8000F0001FFF0
5123 000F0003FFE0001F0007FFC0001F0007FFC0001F000FFF80003F001FFF00007F003FFE00
5124 00FF003FFE0003FF007FFC001FFE00FFFFFFFFFE00FFFFFFFFFE00FFFFFFFFFE00FFFFFF
5125 FFFE00292C7DAB32>I<FFFFFFFFFFFFFEFFFFFFFFFFFFFEFFFFFFFFFFFFFEFFFFFFFFFF
5126 FFFE3704809C38>I E /Fp 61 122 df<00000000FFFC0000000000001FFFFF80000000
5127 0001FFFFFFE00000000007FFFFFFF0000000001FFFC00FF8000000007FFE0003FC000000
5128 00FFF00000FE00000001FFE00003FF00000003FF800007FF00000007FF00000FFF800000
5129 0FFE00001FFF8000000FFE00001FFF8000001FFC00001FFF8000001FFC00003FFFC00000
5130 3FFC00001FFF8000003FF800001FFF8000003FF800001FFF8000003FF800001FFF800000
5131 3FF800000FFF0000003FF8000007FE0000003FF8000001F80000003FF800000000000000
5132 3FF8000000000000003FF8000000000000003FF8000000000000003FF800000000000000
5133 3FF8000000000000003FF8000000000000003FF8000000000000003FF800000000000000
5134 3FF80003FFFFC000FFFFFFFFFFFFFFC000FFFFFFFFFFFFFFC000FFFFFFFFFFFFFFC000FF
5135 FFFFFFFFFFFFC000FFFFFFFFFFFFFFC000003FFC000007FFC000003FFC000003FFC00000
5136 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5137 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5138 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5139 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5140 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5141 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5142 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5143 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5144 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5145 3FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC000003FFC00000
5146 3FFC000003FFC0003FFFFFFC03FFFFFFC03FFFFFFC03FFFFFFC03FFFFFFC03FFFFFFC03F
5147 FFFFFC03FFFFFFC03FFFFFFC03FFFFFFC042547DD34B>12 D<07F0001FF8003FFC007FFE
5148 007FFF00FFFF00FFFF80FFFF80FFFF80FFFFC0FFFFC0FFFFC07FFFC07FFFC03FFFC01FFF
5149 C007F3C00003C00003C00007C0000780000780000780000F80000F00000F00001F00001E
5150 00003E00003C00007C0000F80000F80001F00003E00007C0000F80001F00001E00000C00
5151 001228769025>44 D<FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFF
5152 FFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0240B7F9F2D>I<07
5153 F0000FF8001FFC003FFE007FFF00FFFF80FFFF80FFFF80FFFF80FFFF80FFFF80FFFF807F
5154 FF003FFE001FFC000FF80007F0001111769025>I<000003FFC0000000003FFFFC000000
5155 00FFFFFF00000003FFFFFFC000000FFF81FFF000001FFC003FF800003FF8001FFC00007F
5156 F0000FFE0000FFE00007FF0001FFC00003FF8003FF800001FFC003FF800001FFC007FF80
5157 0001FFE00FFF000000FFF00FFF000000FFF00FFF000000FFF01FFF000000FFF81FFF0000
5158 00FFF83FFF000000FFFC3FFE0000007FFC3FFE0000007FFC3FFE0000007FFC7FFE000000
5159 7FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007F
5160 FEFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFF
5161 FFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFF
5162 FE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE
5163 0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE0000007FFFFFFE00
5164 00007FFFFFFE0000007FFFFFFE0000007FFF7FFE0000007FFE7FFE0000007FFE7FFE0000
5165 007FFE7FFE0000007FFE7FFE0000007FFE7FFE0000007FFE3FFE0000007FFC3FFE000000
5166 7FFC3FFF000000FFFC3FFF000000FFFC1FFF000000FFF81FFF000000FFF81FFF000000FF
5167 F80FFF000000FFF00FFF000000FFF007FF800001FFE007FF800001FFE003FFC00003FFC0
5168 01FFC00003FF8001FFE00007FF8000FFF0000FFF00007FF8001FFE00001FFC003FF80000
5169 0FFF81FFF0000007FFFFFFE0000001FFFFFF800000003FFFFC0000000003FFC00000384F
5170 7BCD43>48 D<000000780000000000FC0000000003FC0000000007FC000000001FFC0000
5171 0000FFFC0000000FFFFC000007FFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFF7FFC0000
5172 FFF07FFC0000F8007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5173 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5174 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5175 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5176 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5177 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5178 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5179 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5180 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5181 00007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC0000
5182 00007FFC000000007FFC00007FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE
5183 7FFFFFFFFFFE2F4E76CD43>I<00003FFE0000000003FFFFE00000000FFFFFFC0000003F
5184 FFFFFF000000FFFFFFFFC00001FFC07FFFE00003FE000FFFF80007F80003FFFC000FE000
5185 01FFFE001FC00000FFFF003F8000007FFF003FF000007FFF807FF800003FFFC07FFC0000
5186 3FFFC0FFFE00001FFFE0FFFF00001FFFE0FFFF00001FFFE0FFFF00000FFFF0FFFF00000F
5187 FFF0FFFF00000FFFF0FFFF00000FFFF0FFFF00000FFFF07FFE00000FFFF07FFE00000FFF
5188 F03FFC00000FFFF00FF000000FFFF003C000000FFFF0000000000FFFE0000000001FFFE0
5189 000000001FFFE0000000001FFFC0000000003FFFC0000000003FFF80000000003FFF8000
5190 0000007FFF00000000007FFE0000000000FFFC0000000001FFF80000000001FFF0000000
5191 0003FFE00000000003FFC00000000007FF80000000000FFF00000000001FFE0000000000
5192 1FFC00000000003FF800000000007FE00000000000FFC00000000001FF800000000003FE
5193 000000000007FC000000000007F800000000000FF00001F000001FE00001F000003F8000
5194 01F000007F000001F00000FE000003E00001FC000003E00003F8000003E00007F0000003
5195 E0000FE0000003E0001F80000007E0003F00000007E0003E0000000FE0007FFFFFFFFFE0
5196 00FFFFFFFFFFC001FFFFFFFFFFC003FFFFFFFFFFC007FFFFFFFFFFC00FFFFFFFFFFFC01F
5197 FFFFFFFFFFC03FFFFFFFFFFFC07FFFFFFFFFFFC0FFFFFFFFFFFFC0FFFFFFFFFFFF80FFFF
5198 FFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80344E79CD43>I<00000FFFC000000000FF
5199 FFFC00000007FFFFFF8000001FFFFFFFE000003FF807FFF00000FF8001FFFC0001FE0000
5200 7FFE0003F800003FFF0003F000003FFF8007FC00001FFF800FFF00001FFFC00FFF80001F
5201 FFC01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE01FFFE0001FFF
5202 E01FFFC0001FFFE01FFFC0001FFFE01FFFC0001FFFE00FFFC0001FFFC007FF80001FFFC0
5203 03FF00003FFFC001FC00003FFF80000000003FFF80000000007FFF00000000007FFE0000
5204 0000007FFE0000000000FFFC0000000001FFF80000000003FFF00000000007FFC0000000
5205 000FFF8000000000FFFE00000000FFFFF800000000FFFFE000000000FFFFFC00000000FF
5206 FFFF800000000007FFE00000000001FFF800000000007FFE00000000003FFF0000000000
5207 1FFF80000000000FFFC0000000000FFFE00000000007FFF00000000007FFF00000000007
5208 FFF80000000007FFF80000000003FFFC0000000003FFFC0000000003FFFE0000000003FF
5209 FE03E0000003FFFE0FF8000003FFFE1FFC000003FFFE3FFE000003FFFE7FFF000003FFFE
5210 FFFF800003FFFEFFFF800003FFFEFFFF800003FFFEFFFF800003FFFCFFFF800003FFFCFF
5211 FF800007FFFCFFFF800007FFF8FFFF000007FFF87FFF000007FFF07FFE00000FFFF03FFC
5212 00000FFFE03FF000001FFFC01FE000003FFF800FF800007FFF0007FF0000FFFE0003FFF0
5213 07FFFC0000FFFFFFFFF000007FFFFFFFE000001FFFFFFF80000003FFFFFC000000001FFF
5214 800000374F7ACD43>I<00000000007C00000000000000FE00000000000000FE00000000
5215 000001FE00000000000003FE00000000000007FE0000000000000FFE0000000000000FFE
5216 0000000000001FFE0000000000003FFE0000000000007FFE0000000000007FFE00000000
5217 0000FFFE000000000001FFFE000000000003FFFE000000000003FFFE000000000007FFFE
5218 00000000000FFFFE00000000001FBFFE00000000003F3FFE00000000003E3FFE00000000
5219 007C3FFE0000000000FC3FFE0000000001F83FFE0000000001F03FFE0000000003E03FFE
5220 0000000007E03FFE000000000FC03FFE000000000F803FFE000000001F003FFE00000000
5221 3F003FFE000000007E003FFE000000007C003FFE00000000F8003FFE00000001F8003FFE
5222 00000003F0003FFE00000007E0003FFE00000007C0003FFE0000000F80003FFE0000001F
5223 80003FFE0000003F00003FFE0000003E00003FFE0000007C00003FFE000000FC00003FFE
5224 000001F800003FFE000001F000003FFE000003E000003FFE000007E000003FFE00000FC0
5225 00003FFE00001F8000003FFE00001F0000003FFE00003E0000003FFE00007E0000003FFE
5226 0000FC0000003FFE0000FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFF
5227 FFFFFFFFFFC0FFFFFFFFFFFFFFC0000000007FFE0000000000007FFE0000000000007FFE
5228 0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE00000000
5229 00007FFE0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE
5230 0000000000007FFE0000000000007FFE0000000000007FFE000000000FFFFFFFFFC00000
5231 0FFFFFFFFFC000000FFFFFFFFFC000000FFFFFFFFFC000000FFFFFFFFFC03A4F7CCE43>
5232 I<03800000000E0007E00000007E0007FE000003FE0007FFF0007FFE0007FFFFFFFFFC00
5233 07FFFFFFFFF80007FFFFFFFFF00007FFFFFFFFE00007FFFFFFFFC00007FFFFFFFF800007
5234 FFFFFFFF000007FFFFFFFE000007FFFFFFFC000007FFFFFFF0000007FFFFFFC0000007FF
5235 FFFF00000007FFFFF800000007E1FF0000000007E0000000000007E0000000000007E000
5236 0000000007E0000000000007E0000000000007E0000000000007E0000000000007E00000
5237 00000007E0000000000007E0000000000007E0000000000007E00FFF00000007E07FFFF0
5238 000007E3FFFFFE000007E7FFFFFF800007FFF807FFC00007FFC001FFE00007FE0000FFF8
5239 0007FC00007FFC0007F800003FFC0007F000003FFE0007E000001FFF0003C000001FFF80
5240 000000001FFF80000000001FFFC0000000000FFFC0000000000FFFE0000000000FFFE000
5241 0000000FFFE0000000000FFFE0000000000FFFF0000000000FFFF0000000000FFFF00FE0
5242 00000FFFF01FF000000FFFF03FF800000FFFF07FFC00000FFFF0FFFE00000FFFF0FFFE00
5243 000FFFF0FFFE00000FFFF0FFFE00000FFFF0FFFE00000FFFE0FFFE00000FFFE0FFFE0000
5244 0FFFE0FFFC00000FFFE07FF800001FFFC07FF000001FFFC07FE000001FFF803E0000003F
5245 FF803F0000003FFF001F8000007FFE001FC000007FFC000FE00000FFF80007F80001FFF0
5246 0003FE0007FFE00001FFC03FFFC00000FFFFFFFF8000003FFFFFFE0000001FFFFFF80000
5247 0003FFFFC0000000007FF8000000344F79CD43>I<0000000FFF0000000000FFFFE00000
5248 0007FFFFF00000001FFFFFFC0000007FFE03FE000001FFF0007F000003FFC0003F800007
5249 FF00001F80000FFE00007FC0001FFC0000FFC0003FF80001FFE0007FF00003FFE000FFF0
5250 0007FFE001FFE00007FFE001FFE00007FFE003FFC00007FFE007FFC00007FFE007FFC000
5251 07FFE00FFFC00003FFC00FFF800001FF801FFF800000FF001FFF8000007E001FFF800000
5252 00003FFF80000000003FFF80000000003FFF00000000007FFF00000000007FFF00000000
5253 007FFF00080000007FFF01FFF800007FFF07FFFF0000FFFF0FFFFFC000FFFF1FFFFFF000
5254 FFFF3F007FF800FFFF3C003FFC00FFFF78001FFE00FFFFF0000FFF00FFFFF00007FF80FF
5255 FFE00007FFC0FFFFE00007FFC0FFFFC00007FFE0FFFFC00003FFF0FFFF800003FFF0FFFF
5256 800003FFF8FFFF800003FFF8FFFF800003FFF8FFFF800003FFF8FFFF000003FFFCFFFF00
5257 0003FFFCFFFF000003FFFC7FFF000003FFFC7FFF000003FFFC7FFF000003FFFC7FFF0000
5258 03FFFC7FFF000003FFFC7FFF000003FFFC3FFF000003FFFC3FFF000003FFFC3FFF000003
5259 FFFC3FFF000003FFFC1FFF000003FFF81FFF800003FFF81FFF800003FFF80FFF800003FF
5260 F80FFF800003FFF007FF800007FFF007FF800007FFE003FFC00007FFC001FFC00007FFC0
5261 01FFE0000FFF8000FFF0000FFF00007FF8001FFE00003FFC007FFC00001FFF01FFF80000
5262 0FFFFFFFF0000003FFFFFFC0000000FFFFFF000000003FFFFC0000000007FFC00000364F
5263 7ACD43>I<1F000000000000001F800000000000001FC00000000000001FFF8000000000
5264 001FFFFFFFFFFFFF801FFFFFFFFFFFFF801FFFFFFFFFFFFF801FFFFFFFFFFFFF803FFFFF
5265 FFFFFFFF803FFFFFFFFFFFFF003FFFFFFFFFFFFE003FFFFFFFFFFFFC003FFFFFFFFFFFF8
5266 003FFFFFFFFFFFF8003FFFFFFFFFFFF0003FFFFFFFFFFFE0003FFFFFFFFFFFC0007FFFFF
5267 FFFFFF80007F800000007F00007E00000000FF00007E00000001FE00007C00000003FC00
5268 007C00000003F800007C00000007F000007C0000000FF000007C0000001FE00000F80000
5269 003FC00000F80000007F800000F80000007F000000F8000000FE00000000000001FE0000
5270 0000000003FC00000000000003F800000000000007F00000000000000FF0000000000000
5271 1FE00000000000001FE00000000000003FC00000000000003FC00000000000007F800000
5272 00000000FF80000000000000FF80000000000001FF00000000000001FF00000000000003
5273 FF00000000000003FE00000000000007FE00000000000007FE0000000000000FFE000000
5274 0000000FFE0000000000000FFC0000000000001FFC0000000000001FFC0000000000003F
5275 FC0000000000003FFC0000000000003FFC0000000000003FFC0000000000007FFC000000
5276 0000007FF80000000000007FF80000000000007FF8000000000000FFF8000000000000FF
5277 F8000000000000FFF8000000000000FFF8000000000000FFF8000000000001FFF8000000
5278 000001FFF8000000000001FFF8000000000001FFF8000000000001FFF8000000000001FF
5279 F8000000000001FFF8000000000001FFF8000000000001FFF8000000000001FFF8000000
5280 000001FFF8000000000001FFF8000000000000FFF0000000000000FFF00000000000003F
5281 C00000000000001F8000000000395279D043>I<000007FFC0000000007FFFFC00000003
5282 FFFFFF8000000FFFFFFFE000001FFC01FFF800003FE0003FFC00007F80000FFE0000FF00
5283 0007FF0001FE000003FF0003FC000001FF8007FC000001FFC007F8000000FFC00FF80000
5284 00FFC00FF8000000FFE00FF80000007FE00FF80000007FE01FF80000007FE01FFC000000
5285 7FE01FFC0000007FE01FFE0000007FE01FFF0000007FE01FFF800000FFE01FFFE00000FF
5286 C01FFFF80000FFC01FFFFE0001FF800FFFFF0001FF800FFFFFC003FF000FFFFFF007FE00
5287 07FFFFF807FC0007FFFFFE1FF80003FFFFFFBFF00001FFFFFFFFE00001FFFFFFFF800000
5288 FFFFFFFE0000007FFFFFFF0000003FFFFFFF8000000FFFFFFFE0000007FFFFFFF0000001
5289 FFFFFFFC000007FFFFFFFE00001FFFFFFFFF00003FFFFFFFFF8000FFE7FFFFFF8001FF81
5290 FFFFFFC003FF007FFFFFE007FE001FFFFFF00FFC000FFFFFF01FF80003FFFFF01FF80000
5291 FFFFF83FF000007FFFF83FF000001FFFF87FE0000007FFFC7FE0000001FFFC7FE0000000
5292 FFFCFFC00000007FFCFFC00000003FFCFFC00000003FFCFFC00000001FFCFFC00000001F
5293 FCFFC00000000FFCFFC00000000FFCFFC00000000FF8FFC00000000FF8FFE00000000FF8
5294 7FE00000000FF07FF00000001FF07FF00000001FF03FF80000003FE01FF80000003FC01F
5295 FC0000007FC00FFE000000FF8007FF800003FF0003FFE0000FFE0001FFFC00FFFC00007F
5296 FFFFFFF000003FFFFFFFE000000FFFFFFF80000001FFFFFC000000000FFFC00000364F7A
5297 CD43>I<00000FFF8000000000FFFFF800000003FFFFFE0000000FFFFFFF8000001FFF03
5298 FFC000007FF800FFE00000FFF0003FF00001FFE0001FF80003FFC0001FFC0007FFC0000F
5299 FE000FFF80000FFF000FFF800007FF001FFF800007FF803FFF800007FF803FFF000007FF
5300 C07FFF000007FFC07FFF000003FFE07FFF000003FFE07FFF000003FFF0FFFF000003FFF0
5301 FFFF000003FFF0FFFF000003FFF0FFFF000003FFF8FFFF000003FFF8FFFF000003FFF8FF
5302 FF000003FFF8FFFF000003FFF8FFFF000003FFF8FFFF000003FFFCFFFF000003FFFCFFFF
5303 000003FFFCFFFF000003FFFC7FFF000007FFFC7FFF000007FFFC7FFF000007FFFC3FFF00
5304 0007FFFC3FFF000007FFFC3FFF00000FFFFC1FFF80000FFFFC0FFF80001FFFFC0FFF8000
5305 1FFFFC07FF80003FFFFC03FFC0003FFFFC01FFE0007BFFFC00FFF000F3FFFC007FF803F3
5306 FFFC001FFFFFE3FFFC000FFFFFC3FFFC0003FFFF83FFF800007FFE03FFF80000004003FF
5307 F80000000003FFF80000000003FFF80000000003FFF00000000007FFF00000000007FFF0
5308 0000000007FFF001F8000007FFE003FC000007FFE007FE000007FFC00FFF000007FFC01F
5309 FF80000FFF801FFF80000FFF801FFF80000FFF001FFF80001FFF001FFF80001FFE001FFF
5310 80003FFC001FFF00003FFC000FFE00007FF8000FFC0000FFF0000FF80001FFE00007F000
5311 03FFC00003FC000FFF800003FF807FFE000001FFFFFFFC0000007FFFFFF00000003FFFFF
5312 C00000000FFFFE0000000000FFF0000000364F7ACD43>I<00000000001F000000000000
5313 00000000003F80000000000000000000007FC0000000000000000000007FC00000000000
5314 0000000000FFE000000000000000000000FFE000000000000000000000FFE00000000000
5315 0000000001FFF000000000000000000001FFF000000000000000000003FFF80000000000
5316 0000000003FFF800000000000000000003FFF800000000000000000007FFFC0000000000
5317 0000000007FFFC00000000000000000007FFFC0000000000000000000FFFFE0000000000
5318 000000000FFFFE0000000000000000001FFFFF0000000000000000001FFFFF0000000000
5319 000000001FFFFF0000000000000000003FFFFF8000000000000000003F7FFF8000000000
5320 000000007F7FFFC000000000000000007E7FFFC000000000000000007E3FFFC000000000
5321 00000000FE3FFFE00000000000000000FC1FFFE00000000000000001FC1FFFF000000000
5322 00000001F81FFFF00000000000000001F80FFFF00000000000000003F80FFFF800000000
5323 00000003F007FFF80000000000000007F007FFFC0000000000000007E007FFFC00000000
5324 00000007E003FFFC000000000000000FE003FFFE000000000000000FC001FFFE00000000
5325 0000001FC001FFFF000000000000001F8001FFFF000000000000001F8000FFFF00000000
5326 0000003F8000FFFF800000000000003F00007FFF800000000000007F00007FFFC0000000
5327 0000007E00007FFFC00000000000007E00003FFFC0000000000000FE00003FFFE0000000
5328 000000FC00001FFFE0000000000001FC00001FFFF0000000000001F800001FFFF0000000
5329 000001F800000FFFF0000000000003F800000FFFF8000000000003F0000007FFF8000000
5330 000007F0000007FFFC000000000007E0000007FFFC000000000007E0000003FFFC000000
5331 00000FFFFFFFFFFFFE00000000000FFFFFFFFFFFFE00000000001FFFFFFFFFFFFF000000
5332 00001FFFFFFFFFFFFF00000000001FFFFFFFFFFFFF00000000003F80000000FFFF800000
5333 00003F000000007FFF80000000007F000000007FFFC0000000007F000000007FFFC00000
5334 00007E000000003FFFC000000000FE000000003FFFE000000000FC000000001FFFE00000
5335 0001FC000000001FFFF000000001FC000000001FFFF000000001F8000000000FFFF00000
5336 0003F8000000000FFFF800000003F00000000007FFF800000007F00000000007FFFC0000
5337 0007F00000000007FFFC00000007E00000000003FFFC0000000FE00000000003FFFE0000
5338 000FC00000000003FFFE0000001FC00000000001FFFF000000FFFC0000000001FFFF0000
5339 FFFFFFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0
5340 FFFFFFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE05B547BD366>65
5341 D<FFFFFFFFFFFFFFC0000000FFFFFFFFFFFFFFFE000000FFFFFFFFFFFFFFFFC00000FFFF
5342 FFFFFFFFFFFFF00000FFFFFFFFFFFFFFFFFC00000007FFF0000003FFFF00000007FFF000
5343 00007FFF80000007FFF00000003FFFC0000007FFF00000000FFFE0000007FFF000000007
5344 FFF0000007FFF000000007FFF8000007FFF000000003FFF8000007FFF000000003FFFC00
5345 0007FFF000000001FFFC000007FFF000000001FFFE000007FFF000000000FFFE000007FF
5346 F000000000FFFE000007FFF000000000FFFF000007FFF000000000FFFF000007FFF00000
5347 0000FFFF000007FFF000000000FFFF000007FFF000000000FFFF000007FFF000000000FF
5348 FF000007FFF000000000FFFF000007FFF000000000FFFF000007FFF000000001FFFE0000
5349 07FFF000000001FFFE000007FFF000000001FFFC000007FFF000000003FFFC000007FFF0
5350 00000003FFF8000007FFF000000007FFF8000007FFF000000007FFF0000007FFF0000000
5351 0FFFE0000007FFF00000001FFFC0000007FFF00000007FFF00000007FFF0000001FFFE00
5352 000007FFF0000007FFF800000007FFFFFFFFFFFFE000000007FFFFFFFFFFFF0000000007
5353 FFFFFFFFFFFF8000000007FFFFFFFFFFFFF000000007FFF0000003FFFE00000007FFF000
5354 00003FFF80000007FFF00000000FFFE0000007FFF000000007FFF0000007FFF000000001
5355 FFF8000007FFF000000001FFFC000007FFF000000000FFFE000007FFF0000000007FFF00
5356 0007FFF0000000007FFF800007FFF0000000003FFFC00007FFF0000000003FFFC00007FF
5357 F0000000001FFFE00007FFF0000000001FFFE00007FFF0000000001FFFE00007FFF00000
5358 00001FFFF00007FFF0000000001FFFF00007FFF0000000001FFFF00007FFF0000000000F
5359 FFF00007FFF0000000000FFFF00007FFF0000000000FFFF00007FFF0000000001FFFF000
5360 07FFF0000000001FFFF00007FFF0000000001FFFF00007FFF0000000001FFFE00007FFF0
5361 000000001FFFE00007FFF0000000003FFFE00007FFF0000000003FFFC00007FFF0000000
5362 003FFFC00007FFF0000000007FFF800007FFF000000000FFFF800007FFF000000000FFFF
5363 000007FFF000000001FFFE000007FFF000000007FFFE000007FFF00000000FFFFC000007
5364 FFF00000003FFFF0000007FFF0000001FFFFE000FFFFFFFFFFFFFFFFFF8000FFFFFFFFFF
5365 FFFFFFFF0000FFFFFFFFFFFFFFFFF80000FFFFFFFFFFFFFFFFC00000FFFFFFFFFFFFFFF8
5366 00000054527CD160>I<0000000001FFFC000001C0000000007FFFFFC00003C000000007
5367 FFFFFFF80007C00000003FFFFFFFFE001FC0000000FFFFFFFFFF803FC0000003FFFFE003
5368 FFC07FC000000FFFFC00003FF0FFC000003FFFE000000FF9FFC000007FFF80000003FFFF
5369 C00001FFFE00000000FFFFC00003FFF8000000007FFFC00007FFF0000000003FFFC0000F
5370 FFE0000000001FFFC0001FFFC0000000000FFFC0003FFF800000000007FFC0007FFF0000
5371 00000003FFC000FFFE000000000001FFC000FFFE000000000001FFC001FFFC0000000000
5372 00FFC003FFF8000000000000FFC003FFF80000000000007FC007FFF00000000000007FC0
5373 0FFFF00000000000003FC00FFFF00000000000003FC01FFFE00000000000001FC01FFFE0
5374 0000000000001FC01FFFE00000000000001FC03FFFC00000000000001FC03FFFC0000000
5375 0000000FC03FFFC00000000000000FC07FFFC00000000000000FC07FFFC0000000000000
5376 0FC07FFFC000000000000000007FFF8000000000000000007FFF800000000000000000FF
5377 FF800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF8000
5378 00000000000000FFFF800000000000000000FFFF800000000000000000FFFF8000000000
5379 00000000FFFF800000000000000000FFFF800000000000000000FFFF8000000000000000
5380 00FFFF800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF
5381 8000000000000000007FFF8000000000000000007FFF8000000000000000007FFFC00000
5382 0000000000007FFFC000000000000000007FFFC000000000000007C03FFFC00000000000
5383 0007C03FFFC000000000000007C03FFFC000000000000007C01FFFE000000000000007C0
5384 1FFFE000000000000007C01FFFE00000000000000FC00FFFF00000000000000F800FFFF0
5385 0000000000000F8007FFF00000000000001F8003FFF80000000000001F8003FFF8000000
5386 0000001F0001FFFC0000000000003F0000FFFE0000000000007E0000FFFE000000000000
5387 7E00007FFF000000000000FC00003FFF800000000001F800001FFFC00000000003F80000
5388 0FFFE00000000007F0000007FFF0000000000FE0000003FFFC000000001FC0000001FFFE
5389 000000007F800000007FFF80000000FF000000003FFFE0000007FE000000000FFFFE0000
5390 1FF80000000003FFFFE001FFF00000000000FFFFFFFFFFC000000000003FFFFFFFFF0000
5391 0000000007FFFFFFFC000000000000007FFFFFE00000000000000001FFFC000000005254
5392 79D261>I<FFFFFFFFFFFFFF8000000000FFFFFFFFFFFFFFFC00000000FFFFFFFFFFFFFF
5393 FF80000000FFFFFFFFFFFFFFFFF0000000FFFFFFFFFFFFFFFFFC0000000007FFF000000F
5394 FFFF0000000007FFF0000000FFFFC000000007FFF00000001FFFE000000007FFF0000000
5395 07FFF800000007FFF000000001FFFC00000007FFF000000000FFFE00000007FFF0000000
5396 007FFF00000007FFF0000000003FFF80000007FFF0000000001FFFC0000007FFF0000000
5397 000FFFC0000007FFF00000000007FFE0000007FFF00000000003FFF0000007FFF0000000
5398 0003FFF8000007FFF00000000001FFF8000007FFF00000000001FFFC000007FFF0000000
5399 0000FFFC000007FFF00000000000FFFE000007FFF00000000000FFFE000007FFF0000000
5400 00007FFF000007FFF000000000007FFF000007FFF000000000007FFF000007FFF0000000
5401 00007FFF800007FFF000000000003FFF800007FFF000000000003FFF800007FFF0000000
5402 00003FFFC00007FFF000000000003FFFC00007FFF000000000003FFFC00007FFF0000000
5403 00003FFFC00007FFF000000000003FFFC00007FFF000000000003FFFE00007FFF0000000
5404 00003FFFE00007FFF000000000003FFFE00007FFF000000000001FFFE00007FFF0000000
5405 00001FFFE00007FFF000000000001FFFE00007FFF000000000001FFFE00007FFF0000000
5406 00001FFFE00007FFF000000000001FFFE00007FFF000000000001FFFE00007FFF0000000
5407 00001FFFE00007FFF000000000001FFFE00007FFF000000000003FFFE00007FFF0000000
5408 00003FFFE00007FFF000000000003FFFE00007FFF000000000003FFFC00007FFF0000000
5409 00003FFFC00007FFF000000000003FFFC00007FFF000000000003FFFC00007FFF0000000
5410 00003FFFC00007FFF000000000003FFF800007FFF000000000003FFF800007FFF0000000
5411 00007FFF800007FFF000000000007FFF000007FFF000000000007FFF000007FFF0000000
5412 00007FFF000007FFF00000000000FFFE000007FFF00000000000FFFE000007FFF0000000
5413 0000FFFC000007FFF00000000001FFFC000007FFF00000000001FFF8000007FFF0000000
5414 0003FFF0000007FFF00000000007FFF0000007FFF00000000007FFE0000007FFF0000000
5415 000FFFC0000007FFF0000000001FFF80000007FFF0000000003FFF00000007FFF0000000
5416 00FFFE00000007FFF000000001FFFC00000007FFF000000007FFF800000007FFF0000000
5417 1FFFF000000007FFF0000000FFFFC000000007FFF000000FFFFF000000FFFFFFFFFFFFFF
5418 FFFE000000FFFFFFFFFFFFFFFFF0000000FFFFFFFFFFFFFFFFC0000000FFFFFFFFFFFFFF
5419 FC00000000FFFFFFFFFFFFFF80000000005B527CD167>I<FFFFFFFFFFFFFFFFFF80FFFF
5420 FFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF
5421 FF800007FFF8000001FFFFC00007FFF80000001FFFC00007FFF800000007FFC00007FFF8
5422 00000001FFC00007FFF800000000FFC00007FFF8000000007FC00007FFF8000000003FC0
5423 0007FFF8000000001FC00007FFF8000000001FC00007FFF8000000000FE00007FFF80000
5424 00000FE00007FFF80000000007E00007FFF80000000007E00007FFF80000000007E00007
5425 FFF80000000003E00007FFF80000000003E00007FFF80000000003E00007FFF80000F800
5426 03E00007FFF80000F80003F00007FFF80000F80001F00007FFF80000F80001F00007FFF8
5427 0000F80001F00007FFF80000F80001F00007FFF80000F80000000007FFF80001F8000000
5428 0007FFF80001F80000000007FFF80001F80000000007FFF80003F80000000007FFF80007
5429 F80000000007FFF8000FF80000000007FFF8007FF80000000007FFFFFFFFF80000000007
5430 FFFFFFFFF80000000007FFFFFFFFF80000000007FFFFFFFFF80000000007FFFFFFFFF800
5431 00000007FFF8007FF80000000007FFF8000FF80000000007FFF80007F80000000007FFF8
5432 0003F80000000007FFF80001F80000000007FFF80001F80000000007FFF80001F8000000
5433 0007FFF80000F80000000007FFF80000F800003E0007FFF80000F800003E0007FFF80000
5434 F800003E0007FFF80000F800007C0007FFF80000F800007C0007FFF80000F800007C0007
5435 FFF800000000007C0007FFF800000000007C0007FFF80000000000FC0007FFF800000000
5436 00FC0007FFF80000000000F80007FFF80000000000F80007FFF80000000001F80007FFF8
5437 0000000001F80007FFF80000000001F80007FFF80000000003F80007FFF80000000003F0
5438 0007FFF80000000007F00007FFF8000000000FF00007FFF8000000000FF00007FFF80000
5439 00001FF00007FFF8000000003FF00007FFF8000000007FE00007FFF800000001FFE00007
5440 FFF800000007FFE00007FFF80000001FFFE00007FFF8000003FFFFE0FFFFFFFFFFFFFFFF
5441 FFE0FFFFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFFFC0FFFFFFFF
5442 FFFFFFFFFFC04F517CD058>I<FFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFE00FFFFFF
5443 FFFFFFFFFFFE00FFFFFFFFFFFFFFFFFE00FFFFFFFFFFFFFFFFFE000007FFF8000007FFFF
5444 000007FFF80000007FFF000007FFF80000001FFF000007FFF800000007FF000007FFF800
5445 000003FF000007FFF800000001FF000007FFF800000000FF000007FFF8000000007F0000
5446 07FFF8000000003F000007FFF8000000003F800007FFF8000000003F800007FFF8000000
5447 001F800007FFF8000000001F800007FFF8000000001F800007FFF8000000000F800007FF
5448 F8000000000F800007FFF8000000000F800007FFF8000000000F800007FFF8000000000F
5449 C00007FFF80000F80007C00007FFF80000F80007C00007FFF80000F80007C00007FFF800
5450 00F80007C00007FFF80000F80000000007FFF80000F80000000007FFF80000F800000000
5451 07FFF80001F80000000007FFF80001F80000000007FFF80001F80000000007FFF80003F8
5452 0000000007FFF80007F80000000007FFF8000FF80000000007FFF8007FF80000000007FF
5453 FFFFFFF80000000007FFFFFFFFF80000000007FFFFFFFFF80000000007FFFFFFFFF80000
5454 000007FFFFFFFFF80000000007FFF8007FF80000000007FFF8000FF80000000007FFF800
5455 07F80000000007FFF80003F80000000007FFF80001F80000000007FFF80001F800000000
5456 07FFF80001F80000000007FFF80000F80000000007FFF80000F80000000007FFF80000F8
5457 0000000007FFF80000F80000000007FFF80000F80000000007FFF80000F80000000007FF
5458 F80000F80000000007FFF80000000000000007FFF80000000000000007FFF80000000000
5459 000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF800
5460 00000000000007FFF80000000000000007FFF80000000000000007FFF800000000000000
5461 07FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF8000000
5462 0000000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FF
5463 F80000000000000007FFF8000000000000FFFFFFFFFFF800000000FFFFFFFFFFF8000000
5464 00FFFFFFFFFFF800000000FFFFFFFFFFF800000000FFFFFFFFFFF8000000004A517CD055
5465 >I<0000000001FFFC000001C000000000007FFFFFC00003C00000000007FFFFFFF80007
5466 C0000000003FFFFFFFFE001FC000000000FFFFFFFFFF803FC000000003FFFFE003FFC07F
5467 C00000000FFFFC00003FF0FFC00000003FFFE000000FF9FFC00000007FFF80000003FFFF
5468 C0000001FFFE00000000FFFFC0000003FFF8000000007FFFC0000007FFF0000000003FFF
5469 C000000FFFE0000000001FFFC000001FFFC0000000000FFFC000003FFF800000000007FF
5470 C000007FFF000000000003FFC00000FFFE000000000001FFC00000FFFE000000000001FF
5471 C00001FFFC000000000000FFC00003FFF8000000000000FFC00003FFF80000000000007F
5472 C00007FFF00000000000007FC0000FFFF00000000000003FC0000FFFF00000000000003F
5473 C0001FFFE00000000000001FC0001FFFE00000000000001FC0001FFFE00000000000001F
5474 C0003FFFC00000000000001FC0003FFFC00000000000000FC0003FFFC00000000000000F
5475 C0007FFFC00000000000000FC0007FFFC00000000000000FC0007FFFC000000000000000
5476 00007FFF800000000000000000007FFF80000000000000000000FFFF8000000000000000
5477 0000FFFF80000000000000000000FFFF80000000000000000000FFFF8000000000000000
5478 0000FFFF80000000000000000000FFFF80000000000000000000FFFF8000000000000000
5479 0000FFFF80000000000000000000FFFF80000000000000000000FFFF8000000000000000
5480 0000FFFF80000000000000000000FFFF80000000000000000000FFFF8000000000000000
5481 0000FFFF800000000000000000007FFF800000007FFFFFFFFFE07FFF800000007FFFFFFF
5482 FFE07FFFC00000007FFFFFFFFFE07FFFC00000007FFFFFFFFFE07FFFC00000007FFFFFFF
5483 FFE03FFFC000000000003FFFC0003FFFC000000000003FFFC0003FFFC000000000003FFF
5484 C0001FFFE000000000003FFFC0001FFFE000000000003FFFC0001FFFE000000000003FFF
5485 C0000FFFF000000000003FFFC0000FFFF000000000003FFFC00007FFF000000000003FFF
5486 C00003FFF800000000003FFFC00003FFF800000000003FFFC00001FFFC00000000003FFF
5487 C00000FFFE00000000003FFFC00000FFFE00000000003FFFC000007FFF00000000003FFF
5488 C000003FFF80000000003FFFC000001FFFC0000000003FFFC000000FFFE0000000007FFF
5489 C0000007FFF0000000007FFFC0000003FFFC00000000FFFFC0000001FFFF00000000FFFF
5490 C00000007FFF80000001FFFFC00000003FFFF0000007FBFFC00000000FFFFE00001FF1FF
5491 C000000003FFFFF001FFE0FFC000000000FFFFFFFFFFC07FC0000000003FFFFFFFFF001F
5492 C00000000007FFFFFFFC0007C000000000007FFFFFE00001C0000000000001FFFE000000
5493 00005B5479D26A>I<FFFFFFFFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFFFFFFFF
5494 FFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFF0007FF
5495 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5496 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5497 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5498 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5499 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5500 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5501 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5502 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5503 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5504 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5505 F8000000001FFFE0000007FFF8000000001FFFE0000007FFFFFFFFFFFFFFFFE0000007FF
5506 FFFFFFFFFFFFFFE0000007FFFFFFFFFFFFFFFFE0000007FFFFFFFFFFFFFFFFE0000007FF
5507 FFFFFFFFFFFFFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5508 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5509 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5510 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5511 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5512 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5513 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5514 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5515 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5516 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5517 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE0000007FF
5518 F8000000001FFFE0000007FFF8000000001FFFE0000007FFF8000000001FFFE000FFFFFF
5519 FFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFFFFFFFF
5520 FFFFC003FFFFFFFFFFFFFFFFFFFFC003FFFFFFFFFF60527CD169>I<FFFFFFFFFFC0FFFF
5521 FFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC00007FFF800000007FFF800000007
5522 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5523 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5524 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5525 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5526 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5527 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5528 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5529 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5530 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5531 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5532 FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007FFF800000007
5533 FFF800000007FFF800000007FFF800000007FFF80000FFFFFFFFFFC0FFFFFFFFFFC0FFFF
5534 FFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC02A527CD132>I<00007FFFFFFFFF8000007FFFFF
5535 FFFF8000007FFFFFFFFF8000007FFFFFFFFF8000007FFFFFFFFF80000000007FFF000000
5536 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5537 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000000
5538 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5539 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000000
5540 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5541 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000000
5542 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5543 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000000
5544 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5545 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000000
5546 0000007FFF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007F
5547 FF0000000000007FFF0000000000007FFF0000000000007FFF0000000000007FFF000007
5548 F000007FFF00001FFC00007FFF00003FFE00007FFF00007FFF00007FFF00007FFF00007F
5549 FF0000FFFF80007FFF0000FFFF80007FFF0000FFFF80007FFF0000FFFF80007FFF0000FF
5550 FF8000FFFE0000FFFF8000FFFE0000FFFF8000FFFE0000FFFF0001FFFC00007FFF0001FF
5551 FC00007FFE0003FFF800003FF80007FFF000001FE00007FFE000000FFC001FFFC0000007
5552 FF807FFF00000001FFFFFFFC000000007FFFFFF0000000001FFFFFC00000000001FFF800
5553 00000039537DD145>I<FFFFFFFFFFC00000FFFFFFF8FFFFFFFFFFC00000FFFFFFF8FFFF
5554 FFFFFFC00000FFFFFFF8FFFFFFFFFFC00000FFFFFFF8FFFFFFFFFFC00000FFFFFFF80007
5555 FFF80000000003FFF8000007FFF800000000007F80000007FFF80000000000FF00000007
5556 FFF80000000001FE00000007FFF80000000003F800000007FFF8000000000FF000000007
5557 FFF8000000001FE000000007FFF8000000003FC000000007FFF8000000007F8000000007
5558 FFF800000000FF0000000007FFF800000001FC0000000007FFF800000007F80000000007
5559 FFF80000000FF00000000007FFF80000001FE00000000007FFF80000003FC00000000007
5560 FFF80000007F800000000007FFF8000000FE000000000007FFF8000003FC000000000007
5561 FFF8000007F8000000000007FFF800000FF0000000000007FFF800001FE0000000000007
5562 FFF800003FC0000000000007FFF800007F80000000000007FFF80001FE00000000000007
5563 FFF80003FC00000000000007FFF80007F800000000000007FFF8000FF000000000000007
5564 FFF8001FF800000000000007FFF8003FF800000000000007FFF8007FFC00000000000007
5565 FFF801FFFE00000000000007FFF803FFFF00000000000007FFF807FFFF00000000000007
5566 FFF80FFFFF80000000000007FFF81FFFFFC0000000000007FFF83FFFFFE0000000000007
5567 FFF8FF7FFFE0000000000007FFF9FE3FFFF0000000000007FFFBFC3FFFF8000000000007
5568 FFFFF81FFFFC000000000007FFFFF00FFFFC000000000007FFFFC007FFFE000000000007
5569 FFFF8007FFFF000000000007FFFF0003FFFF000000000007FFFE0001FFFF800000000007
5570 FFFC0000FFFFC00000000007FFF80000FFFFE00000000007FFF800007FFFE00000000007
5571 FFF800003FFFF00000000007FFF800001FFFF80000000007FFF800001FFFFC0000000007
5572 FFF800000FFFFC0000000007FFF8000007FFFE0000000007FFF8000003FFFF0000000007
5573 FFF8000003FFFF8000000007FFF8000001FFFF8000000007FFF8000000FFFFC000000007
5574 FFF8000000FFFFE000000007FFF80000007FFFF000000007FFF80000003FFFF000000007
5575 FFF80000001FFFF800000007FFF80000001FFFFC00000007FFF80000000FFFFE00000007
5576 FFF800000007FFFE00000007FFF800000003FFFF00000007FFF800000003FFFF80000007
5577 FFF800000001FFFF80000007FFF800000000FFFFC0000007FFF8000000007FFFE0000007
5578 FFF8000000007FFFF0000007FFF8000000003FFFF0000007FFF800000000FFFFFC00FFFF
5579 FFFFFFC0003FFFFFFFFEFFFFFFFFFFC0003FFFFFFFFEFFFFFFFFFFC0003FFFFFFFFEFFFF
5580 FFFFFFC0003FFFFFFFFEFFFFFFFFFFC0003FFFFFFFFE5F527CD169>I<FFFFFFFFFFF800
5581 0000FFFFFFFFFFF8000000FFFFFFFFFFF8000000FFFFFFFFFFF8000000FFFFFFFFFFF800
5582 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5583 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5584 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5585 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5586 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5587 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5588 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5589 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5590 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5591 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5592 00000007FFF800000000000007FFF800000000000007FFF800000000000007FFF8000000
5593 00000007FFF800000000000007FFF8000000007C0007FFF8000000007C0007FFF8000000
5594 007C0007FFF8000000007C0007FFF800000000FC0007FFF800000000F80007FFF8000000
5595 00F80007FFF800000000F80007FFF800000000F80007FFF800000000F80007FFF8000000
5596 01F80007FFF800000001F80007FFF800000001F80007FFF800000003F80007FFF8000000
5597 03F80007FFF800000007F80007FFF800000007F00007FFF80000000FF00007FFF8000000
5598 0FF00007FFF80000001FF00007FFF80000003FF00007FFF80000007FF00007FFF8000000
5599 FFF00007FFF8000003FFF00007FFF8000007FFF00007FFF800003FFFF00007FFF80001FF
5600 FFF0FFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFF
5601 FFE0FFFFFFFFFFFFFFFFE046527CD151>I<FFFFFFFC000000000000003FFFFFFEFFFFFF
5602 FE000000000000007FFFFFFEFFFFFFFE000000000000007FFFFFFEFFFFFFFF0000000000
5603 0000FFFFFFFEFFFFFFFF00000000000000FFFFFFFE0007FFFF00000000000000FFFFC000
5604 0007FFFF80000000000001EFFFC0000007FFFF80000000000001EFFFC0000007EFFFC000
5605 0000000003CFFFC0000007EFFFC0000000000003CFFFC0000007E7FFE00000000000078F
5606 FFC0000007E7FFE00000000000078FFFC0000007E3FFF000000000000F0FFFC0000007E3
5607 FFF000000000000F0FFFC0000007E1FFF800000000001E0FFFC0000007E1FFF800000000
5608 001E0FFFC0000007E1FFF800000000001E0FFFC0000007E0FFFC00000000003C0FFFC000
5609 0007E0FFFC00000000003C0FFFC0000007E07FFE0000000000780FFFC0000007E07FFE00
5610 00000000780FFFC0000007E03FFF0000000000F00FFFC0000007E03FFF0000000000F00F
5611 FFC0000007E01FFF8000000001E00FFFC0000007E01FFF8000000001E00FFFC0000007E0
5612 0FFFC000000003C00FFFC0000007E00FFFC000000003C00FFFC0000007E00FFFC0000000
5613 03C00FFFC0000007E007FFE000000007800FFFC0000007E007FFE000000007800FFFC000
5614 0007E003FFF00000000F000FFFC0000007E003FFF00000000F000FFFC0000007E001FFF8
5615 0000001E000FFFC0000007E001FFF80000001E000FFFC0000007E000FFFC0000003C000F
5616 FFC0000007E000FFFC0000003C000FFFC0000007E000FFFC0000003C000FFFC0000007E0
5617 007FFE00000078000FFFC0000007E0007FFE00000078000FFFC0000007E0003FFF000000
5618 F0000FFFC0000007E0003FFF000000F0000FFFC0000007E0001FFF800001E0000FFFC000
5619 0007E0001FFF800001E0000FFFC0000007E0000FFFC00003C0000FFFC0000007E0000FFF
5620 C00003C0000FFFC0000007E00007FFE0000780000FFFC0000007E00007FFE0000780000F
5621 FFC0000007E00007FFE0000780000FFFC0000007E00003FFF0000F00000FFFC0000007E0
5622 0003FFF0000F00000FFFC0000007E00001FFF8001E00000FFFC0000007E00001FFF8001E
5623 00000FFFC0000007E00000FFFC003C00000FFFC0000007E00000FFFC003C00000FFFC000
5624 0007E000007FFE007800000FFFC0000007E000007FFE007800000FFFC0000007E000007F
5625 FE007800000FFFC0000007E000003FFF00F000000FFFC0000007E000003FFF00F000000F
5626 FFC0000007E000001FFF81E000000FFFC0000007E000001FFF81E000000FFFC0000007E0
5627 00000FFFC3C000000FFFC0000007E000000FFFC3C000000FFFC0000007E0000007FFE780
5628 00000FFFC0000007E0000007FFE78000000FFFC0000007E0000003FFFF0000000FFFC000
5629 0007E0000003FFFF0000000FFFC0000007E0000003FFFF0000000FFFC0000007E0000001
5630 FFFE0000000FFFC0000007E0000001FFFE0000000FFFC0000007E0000000FFFC0000000F
5631 FFC0000007E0000000FFFC0000000FFFC0000007E00000007FF80000000FFFC0000007E0
5632 0000007FF80000000FFFC0000007E00000003FF00000000FFFC0000007E00000003FF000
5633 00000FFFC000003FFC0000001FE00000000FFFC000FFFFFFFF00001FE00001FFFFFFFFFE
5634 FFFFFFFF00001FE00001FFFFFFFFFEFFFFFFFF00000FC00001FFFFFFFFFEFFFFFFFF0000
5635 0FC00001FFFFFFFFFEFFFFFFFF000007800001FFFFFFFFFE77527CD180>I<FFFFFFFC00
5636 000000FFFFFFFFFFFFFFFE00000000FFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF00
5637 000000FFFFFFFFFFFFFFFF80000000FFFFFFFF0007FFFFC0000000003FFC000007FFFFE0
5638 0000000007E0000007FFFFF00000000007E0000007FFFFF80000000007E0000007FFFFF8
5639 0000000007E0000007FFFFFC0000000007E0000007EFFFFE0000000007E0000007E7FFFF
5640 0000000007E0000007E3FFFF8000000007E0000007E3FFFF8000000007E0000007E1FFFF
5641 C000000007E0000007E0FFFFE000000007E0000007E07FFFF000000007E0000007E03FFF
5642 F800000007E0000007E01FFFFC00000007E0000007E01FFFFC00000007E0000007E00FFF
5643 FE00000007E0000007E007FFFF00000007E0000007E003FFFF80000007E0000007E001FF
5644 FFC0000007E0000007E001FFFFC0000007E0000007E000FFFFE0000007E0000007E0007F
5645 FFF0000007E0000007E0003FFFF8000007E0000007E0001FFFFC000007E0000007E0000F
5646 FFFE000007E0000007E0000FFFFE000007E0000007E00007FFFF000007E0000007E00003
5647 FFFF800007E0000007E00001FFFFC00007E0000007E00000FFFFE00007E0000007E00000
5648 FFFFF00007E0000007E000007FFFF00007E0000007E000003FFFF80007E0000007E00000
5649 1FFFFC0007E0000007E000000FFFFE0007E0000007E0000007FFFF0007E0000007E00000
5650 07FFFF0007E0000007E0000003FFFF8007E0000007E0000001FFFFC007E0000007E00000
5651 00FFFFE007E0000007E00000007FFFF007E0000007E00000003FFFF807E0000007E00000
5652 003FFFF807E0000007E00000001FFFFC07E0000007E00000000FFFFE07E0000007E00000
5653 0007FFFF07E0000007E000000003FFFF87E0000007E000000003FFFF87E0000007E00000
5654 0001FFFFC7E0000007E000000000FFFFE7E0000007E0000000007FFFF7E0000007E00000
5655 00003FFFFFE0000007E0000000001FFFFFE0000007E0000000001FFFFFE0000007E00000
5656 00000FFFFFE0000007E00000000007FFFFE0000007E00000000003FFFFE0000007E00000
5657 000001FFFFE0000007E00000000001FFFFE0000007E00000000000FFFFE0000007E00000
5658 0000007FFFE0000007E000000000003FFFE0000007E000000000001FFFE0000007E00000
5659 0000000FFFE0000007E000000000000FFFE0000007E0000000000007FFE0000007E00000
5660 00000003FFE0000007E0000000000001FFE0000007E0000000000000FFE0000007E00000
5661 00000000FFE000003FFC0000000000007FE000FFFFFFFF00000000003FE000FFFFFFFF00
5662 000000001FE000FFFFFFFF00000000000FE000FFFFFFFF000000000007E000FFFFFFFF00
5663 0000000003C00060527CD169>I<000000000FFFC00000000000000003FFFFFF00000000
5664 0000001FFFFFFFE0000000000000FFFFFFFFFC000000000003FFFC00FFFF00000000000F
5665 FFC0000FFFC0000000003FFF000003FFF0000000007FFC000000FFF800000001FFF80000
5666 007FFE00000003FFE00000001FFF00000007FFC00000000FFF8000000FFF8000000007FF
5667 C000001FFF0000000003FFE000003FFF0000000003FFF000007FFE0000000001FFF80000
5668 FFFC0000000000FFFC0000FFFC0000000000FFFC0001FFF800000000007FFE0003FFF800
5669 000000007FFF0003FFF000000000003FFF0007FFF000000000003FFF8007FFE000000000
5670 001FFF800FFFE000000000001FFFC00FFFE000000000001FFFC01FFFE000000000001FFF
5671 E01FFFC000000000000FFFE01FFFC000000000000FFFE03FFFC000000000000FFFF03FFF
5672 C000000000000FFFF03FFFC000000000000FFFF07FFF80000000000007FFF87FFF800000
5673 00000007FFF87FFF80000000000007FFF87FFF80000000000007FFF87FFF800000000000
5674 07FFF8FFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFC
5675 FFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80
5676 000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000
5677 000007FFFCFFFF80000000000007FFFCFFFF80000000000007FFFCFFFF80000000000007
5678 FFFCFFFF80000000000007FFFCFFFF80000000000007FFFC7FFF80000000000007FFF87F
5679 FFC000000000000FFFF87FFFC000000000000FFFF87FFFC000000000000FFFF87FFFC000
5680 000000000FFFF83FFFC000000000000FFFF03FFFC000000000000FFFF03FFFE000000000
5681 001FFFF01FFFE000000000001FFFE01FFFE000000000001FFFE01FFFE000000000001FFF
5682 E00FFFF000000000003FFFC00FFFF000000000003FFFC007FFF800000000007FFF8007FF
5683 F800000000007FFF8003FFF800000000007FFF0001FFFC0000000000FFFE0001FFFE0000
5684 000001FFFE0000FFFE0000000001FFFC00007FFF0000000003FFF800003FFF8000000007
5685 FFF000001FFFC00000000FFFE000000FFFE00000001FFFC0000007FFF00000003FFF8000
5686 0003FFF80000007FFF00000001FFFC000000FFFE00000000FFFF000003FFFC000000003F
5687 FFE0001FFFF0000000000FFFFC00FFFFC00000000003FFFFFFFFFF000000000000FFFFFF
5688 FFFC0000000000001FFFFFFFE000000000000003FFFFFF00000000000000001FFFE00000
5689 0000565479D265>I<FFFFFFFFFFFFFF000000FFFFFFFFFFFFFFF80000FFFFFFFFFFFFFF
5690 FF0000FFFFFFFFFFFFFFFFE000FFFFFFFFFFFFFFFFF0000007FFF000001FFFFC000007FF
5691 F0000001FFFF000007FFF00000007FFF800007FFF00000003FFFC00007FFF00000000FFF
5692 E00007FFF00000000FFFF00007FFF000000007FFF00007FFF000000003FFF80007FFF000
5693 000003FFFC0007FFF000000003FFFC0007FFF000000001FFFE0007FFF000000001FFFE00
5694 07FFF000000001FFFE0007FFF000000001FFFE0007FFF000000001FFFF0007FFF0000000
5695 01FFFF0007FFF000000001FFFF0007FFF000000001FFFF0007FFF000000001FFFF0007FF
5696 F000000001FFFF0007FFF000000001FFFF0007FFF000000001FFFF0007FFF000000001FF
5697 FE0007FFF000000001FFFE0007FFF000000001FFFE0007FFF000000001FFFC0007FFF000
5698 000003FFFC0007FFF000000003FFFC0007FFF000000003FFF80007FFF000000007FFF000
5699 07FFF00000000FFFE00007FFF00000001FFFE00007FFF00000003FFFC00007FFF0000000
5700 7FFF000007FFF0000001FFFE000007FFF000001FFFFC000007FFFFFFFFFFFFF0000007FF
5701 FFFFFFFFFFC0000007FFFFFFFFFFFE00000007FFFFFFFFFFE000000007FFF80000000000
5702 000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF800
5703 00000000000007FFF80000000000000007FFF80000000000000007FFF800000000000000
5704 07FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF8000000
5705 0000000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FF
5706 F80000000000000007FFF80000000000000007FFF80000000000000007FFF80000000000
5707 000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF800
5708 00000000000007FFF80000000000000007FFF80000000000000007FFF800000000000000
5709 07FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF8000000
5710 0000000007FFF80000000000000007FFF8000000000000FFFFFFFFFFC000000000FFFFFF
5711 FFFFC000000000FFFFFFFFFFC000000000FFFFFFFFFFC000000000FFFFFFFFFFC0000000
5712 0050527CD15C>I<000000000FFFC00000000000000003FFFFFF000000000000001FFFFF
5713 FFE0000000000000FFFFFFFFFC000000000003FFFC00FFFF00000000000FFFC0000FFFC0
5714 000000003FFF000003FFF0000000007FFC000000FFF800000001FFF00000003FFE000000
5715 03FFE00000001FFF00000007FFC00000000FFF8000000FFF8000000007FFC000001FFF00
5716 00000003FFE000003FFE0000000001FFF000007FFC0000000000FFF80000FFFC00000000
5717 00FFFC0000FFF800000000007FFC0001FFF800000000007FFE0003FFF000000000003FFF
5718 0003FFF000000000003FFF0007FFE000000000001FFF8007FFE000000000001FFF800FFF
5719 E000000000001FFFC00FFFC000000000000FFFC01FFFC000000000000FFFE01FFFC00000
5720 0000000FFFE01FFF80000000000007FFE03FFF80000000000007FFF03FFF800000000000
5721 07FFF03FFF80000000000007FFF07FFF80000000000007FFF87FFF80000000000007FFF8
5722 7FFF00000000000003FFF87FFF00000000000003FFF87FFF00000000000003FFF8FFFF00
5723 000000000003FFFCFFFF00000000000003FFFCFFFF00000000000003FFFCFFFF00000000
5724 000003FFFCFFFF00000000000003FFFCFFFF00000000000003FFFCFFFF00000000000003
5725 FFFCFFFF00000000000003FFFCFFFF00000000000003FFFCFFFF00000000000003FFFCFF
5726 FF00000000000003FFFCFFFF00000000000003FFFCFFFF00000000000003FFFCFFFF0000
5727 0000000003FFFCFFFF00000000000003FFFC7FFF00000000000003FFF87FFF0000000000
5728 0003FFF87FFF80000000000007FFF87FFF80000000000007FFF87FFF80000000000007FF
5729 F83FFF80000000000007FFF03FFF80000000000007FFF03FFF80000000000007FFF01FFF
5730 C000000000000FFFE01FFFC000000000000FFFE01FFFC000000000000FFFE00FFFC00000
5731 0000000FFFC00FFFE000000000001FFFC007FFE000000000001FFF8007FFF00000000000
5732 3FFF8003FFF00001FE00003FFF0001FFF80007FF80007FFE0001FFF8000FFFE0007FFE00
5733 00FFFC003FFFF000FFFC00007FFC007F03F800FFF800003FFE007C00FC01FFF000001FFF
5734 00F8007E03FFE000000FFF80F8003F07FFC0000007FFC0F0001F8FFF80000003FFE0F000
5735 1F9FFF00000001FFF0F0000FFFFE00000000FFFCF8000FFFFC000000003FFFF80007FFF0
5736 000000000FFFFC000FFFC00000000003FFFF00FFFF000000000000FFFFFFFFFC00000000
5737 00001FFFFFFFFC00000C00000003FFFFFFFC00001E000000001FFFE3FE00001E00000000
5738 000001FF00001E00000000000001FF80003E00000000000001FFC0007E00000000000001
5739 FFE000FE00000000000001FFF807FE00000000000000FFFFFFFE00000000000000FFFFFF
5740 FC00000000000000FFFFFFFC000000000000007FFFFFFC000000000000007FFFFFFC0000
5741 00000000007FFFFFF8000000000000007FFFFFF8000000000000003FFFFFF80000000000
5742 00003FFFFFF0000000000000001FFFFFE0000000000000001FFFFFE0000000000000000F
5743 FFFFC00000000000000007FFFF800000000000000003FFFF000000000000000001FFFE00
5744 00000000000000007FF80000000000000000001FE000576A79D265>I<FFFFFFFFFFFFF0
5745 0000000000FFFFFFFFFFFFFF8000000000FFFFFFFFFFFFFFF800000000FFFFFFFFFFFFFF
5746 FF00000000FFFFFFFFFFFFFFFFC00000000007FFF00000FFFFF00000000007FFF000000F
5747 FFF80000000007FFF0000001FFFE0000000007FFF0000000FFFF0000000007FFF0000000
5748 7FFF8000000007FFF00000003FFFC000000007FFF00000001FFFC000000007FFF0000000
5749 0FFFE000000007FFF00000000FFFF000000007FFF00000000FFFF000000007FFF0000000
5750 07FFF800000007FFF000000007FFF800000007FFF000000007FFF800000007FFF0000000
5751 07FFFC00000007FFF000000007FFFC00000007FFF000000007FFFC00000007FFF0000000
5752 07FFFC00000007FFF000000007FFFC00000007FFF000000007FFFC00000007FFF0000000
5753 07FFFC00000007FFF000000007FFFC00000007FFF000000007FFF800000007FFF0000000
5754 07FFF800000007FFF00000000FFFF800000007FFF00000000FFFF000000007FFF0000000
5755 0FFFE000000007FFF00000000FFFE000000007FFF00000001FFFC000000007FFF0000000
5756 3FFF8000000007FFF00000007FFF0000000007FFF0000000FFFE0000000007FFF0000003
5757 FFFC0000000007FFF000000FFFF00000000007FFF00000FFFFC00000000007FFFFFFFFFF
5758 FF000000000007FFFFFFFFFFF8000000000007FFFFFFFFFFE0000000000007FFFFFFFFFF
5759 F8000000000007FFF00003FFFE000000000007FFF000007FFF800000000007FFF000003F
5760 FFC00000000007FFF000001FFFE00000000007FFF000000FFFF00000000007FFF0000007
5761 FFF80000000007FFF0000003FFFC0000000007FFF0000003FFFE0000000007FFF0000001
5762 FFFE0000000007FFF0000001FFFE0000000007FFF0000001FFFF0000000007FFF0000000
5763 FFFF0000000007FFF0000000FFFF0000000007FFF0000000FFFF0000000007FFF0000000
5764 FFFF0000000007FFF0000000FFFF0000000007FFF0000000FFFF0000000007FFF0000000
5765 FFFF0000000007FFF0000000FFFF8000000007FFF0000000FFFF8000000007FFF0000000
5766 FFFF8000000007FFF0000000FFFF8000000007FFF0000000FFFF8000000007FFF0000000
5767 FFFF8000000007FFF0000000FFFF8000000007FFF0000000FFFF80001C0007FFF0000000
5768 FFFFC0003E0007FFF0000000FFFFC0003E0007FFF0000000FFFFC0003E0007FFF0000000
5769 7FFFC0003E0007FFF00000007FFFE0007E0007FFF00000003FFFE0007C0007FFF0000000
5770 3FFFF000FC0007FFF00000001FFFF001FCFFFFFFFFFF80000FFFF803F8FFFFFFFFFF8000
5771 03FFFE07F0FFFFFFFFFF800001FFFFFFE0FFFFFFFFFF8000007FFFFFC0FFFFFFFFFF8000
5772 000FFFFF000000000000000000007FFC005F537CD164>I<00000FFF800007000000FFFF
5773 F8000F000007FFFFFF001F00001FFFFFFFC03F00003FFFFFFFF07F0000FFFC00FFF8FF00
5774 01FFE0000FFDFF0003FF800001FFFF0007FE0000007FFF000FFC0000003FFF000FF80000
5775 000FFF001FF800000007FF001FF000000003FF003FF000000003FF003FE000000001FF00
5776 7FE000000000FF007FE000000000FF007FE0000000007F00FFE0000000007F00FFE00000
5777 00003F00FFE0000000003F00FFF0000000003F00FFF0000000003F00FFF8000000001F00
5778 FFF8000000001F00FFFC000000001F00FFFE000000001F00FFFF000000000000FFFFC000
5779 000000007FFFF000000000007FFFFF00000000007FFFFFF8000000003FFFFFFF80000000
5780 3FFFFFFFFC0000001FFFFFFFFFC000001FFFFFFFFFF000000FFFFFFFFFFC000007FFFFFF
5781 FFFF000003FFFFFFFFFFC00001FFFFFFFFFFE00000FFFFFFFFFFF000007FFFFFFFFFF800
5782 003FFFFFFFFFFC00000FFFFFFFFFFE000003FFFFFFFFFE000000FFFFFFFFFF0000001FFF
5783 FFFFFF80000000FFFFFFFF800000000FFFFFFFC0000000007FFFFFC00000000007FFFFE0
5784 0000000000FFFFE000000000003FFFE000000000000FFFF0000000000007FFF000000000
5785 0003FFF0000000000003FFF0780000000001FFF0F80000000000FFF0F80000000000FFF0
5786 F80000000000FFF0F800000000007FF0F800000000007FF0FC00000000007FF0FC000000
5787 00007FF0FC00000000007FE0FE00000000007FE0FE00000000007FE0FF0000000000FFC0
5788 FF0000000000FFC0FF8000000000FFC0FFC000000001FF80FFE000000001FF00FFF00000
5789 0003FF00FFFC00000007FE00FFFF0000000FFC00FFFFC000001FF800FFFFF800007FF000
5790 FF1FFFC003FFE000FE0FFFFFFFFFC000FC03FFFFFFFF0000F8007FFFFFFC0000F0000FFF
5791 FFF00000E000007FFF0000003C5479D24B>I<3FFFFFFFFFFFFFFFFFFF803FFFFFFFFFFF
5792 FFFFFFFF803FFFFFFFFFFFFFFFFFFF803FFFFFFFFFFFFFFFFFFF803FFFFFFFFFFFFFFFFF
5793 FF803FFFC0003FFFC0007FFF803FFE00003FFFC00007FF807FF800003FFFC00001FFC07F
5794 E000003FFFC00000FFC07FC000003FFFC000007FC07F8000003FFFC000003FC07F000000
5795 3FFFC000001FC07F0000003FFFC000001FC07E0000003FFFC000000FC07E0000003FFFC0
5796 00000FC07E0000003FFFC000000FC07C0000003FFFC0000007C07C0000003FFFC0000007
5797 C07C0000003FFFC0000007C07C0000003FFFC0000007C07C0000003FFFC0000007C0FC00
5798 00003FFFC0000007E0F80000003FFFC0000003E0F80000003FFFC0000003E0F80000003F
5799 FFC0000003E0F80000003FFFC0000003E0F80000003FFFC0000003E0F80000003FFFC000
5800 0003E0000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000
5801 000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000
5802 003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFF
5803 C000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC00000
5804 0000000000003FFFC000000000000000003FFFC000000000000000003FFFC00000000000
5805 0000003FFFC000000000000000003FFFC000000000000000003FFFC00000000000000000
5806 3FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0
5807 00000000000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000
5808 00000000003FFFC000000000000000003FFFC000000000000000003FFFC0000000000000
5809 00003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003F
5810 FFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFFC000
5811 000000000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000
5812 000000003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000
5813 003FFFC000000000000000003FFFC000000000000000003FFFC000000000000000003FFF
5814 C000000000000000003FFFC000000000000000003FFFC0000000000000FFFFFFFFFFFFF0
5815 00000000FFFFFFFFFFFFF000000000FFFFFFFFFFFFF000000000FFFFFFFFFFFFF0000000
5816 00FFFFFFFFFFFFF0000053517BD05E>I<FFFFFFFFFFC00003FFFFFFFCFFFFFFFFFFC000
5817 03FFFFFFFCFFFFFFFFFFC00003FFFFFFFCFFFFFFFFFFC00003FFFFFFFCFFFFFFFFFFC000
5818 03FFFFFFFC0007FFF80000000000FFF0000007FFF800000000001F80000007FFF8000000
5819 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5820 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5821 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5822 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5823 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5824 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5825 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5826 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5827 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5828 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5829 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5830 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5831 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5832 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5833 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5834 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5835 00001F80000007FFF800000000001F80000007FFF800000000001F80000007FFF8000000
5836 00001F80000007FFF800000000003F80000007FFF800000000003F80000003FFF8000000
5837 00003F00000003FFFC00000000003F00000003FFFC00000000007F00000001FFFC000000
5838 00007F00000001FFFC00000000007E00000000FFFE0000000000FE00000000FFFE000000
5839 0001FC000000007FFF0000000001FC000000007FFF0000000003F8000000003FFF800000
5840 0007F8000000001FFF800000000FF0000000000FFFC00000001FE00000000007FFE00000
5841 003FC00000000003FFF80000007F800000000001FFFC000003FF0000000000007FFF8000
5842 0FFE0000000000003FFFF001FFF80000000000000FFFFFFFFFF000000000000003FFFFFF
5843 FFC0000000000000007FFFFFFF00000000000000000FFFFFF80000000000000000007FFF
5844 80000000005E537CD167>I<FFFFFFFFFE0000001FFFFFFEFFFFFFFFFE0000001FFFFFFE
5845 FFFFFFFFFE0000001FFFFFFEFFFFFFFFFE0000001FFFFFFEFFFFFFFFFE0000001FFFFFFE
5846 001FFFF000000000003FFE00001FFFF0000000000007F000000FFFF0000000000007E000
5847 000FFFF800000000000FE0000007FFF800000000000FC0000007FFFC00000000000FC000
5848 0007FFFC00000000001FC0000003FFFE00000000001F80000003FFFE00000000003F8000
5849 0001FFFE00000000003F00000001FFFF00000000007F00000000FFFF00000000007E0000
5850 0000FFFF80000000007E00000000FFFF8000000000FE000000007FFFC000000000FC0000
5851 00007FFFC000000001FC000000003FFFE000000001F8000000003FFFE000000003F80000
5852 00001FFFE000000003F0000000001FFFF000000007F0000000001FFFF000000007F00000
5853 00000FFFF800000007E0000000000FFFF80000000FE00000000007FFFC0000000FC00000
5854 000007FFFC0000001FC00000000003FFFC0000001F800000000003FFFE0000003F800000
5855 000003FFFE0000003F800000000001FFFF0000003F000000000001FFFF0000007F000000
5856 000000FFFF8000007E000000000000FFFF800000FE0000000000007FFF800000FC000000
5857 0000007FFFC00001FC0000000000007FFFC00001FC0000000000003FFFE00001F8000000
5858 0000003FFFE00003F80000000000001FFFF00003F00000000000001FFFF00007F0000000
5859 0000000FFFF00007E00000000000000FFFF8000FE00000000000000FFFF8000FE0000000
5860 00000007FFFC000FC000000000000007FFFC001FC000000000000003FFFE001F80000000
5861 00000003FFFE003F8000000000000001FFFE003F0000000000000001FFFF007F00000000
5862 00000001FFFF007F0000000000000000FFFF807E0000000000000000FFFF80FE00000000
5863 000000007FFFC0FC00000000000000007FFFC1FC00000000000000003FFFC1F800000000
5864 000000003FFFE3F800000000000000001FFFE3F000000000000000001FFFF3F000000000
5865 000000001FFFF7F000000000000000000FFFFFE000000000000000000FFFFFE000000000
5866 0000000007FFFFC0000000000000000007FFFFC0000000000000000003FFFF8000000000
5867 0000000003FFFF80000000000000000003FFFF80000000000000000001FFFF0000000000
5868 0000000001FFFF00000000000000000000FFFE00000000000000000000FFFE0000000000
5869 00000000007FFC000000000000000000007FFC000000000000000000007FFC0000000000
5870 00000000003FF8000000000000000000003FF8000000000000000000001FF00000000000
5871 00000000001FF0000000000000000000000FE00000000000000000000007C00000000000
5872 5F537DD166>I<FFFFFFFFFC007FFFFFFFFE0000FFFFFFF0FFFFFFFFFC007FFFFFFFFE00
5873 00FFFFFFF0FFFFFFFFFC007FFFFFFFFE0000FFFFFFF0FFFFFFFFFC007FFFFFFFFE0000FF
5874 FFFFF0FFFFFFFFFC007FFFFFFFFE0000FFFFFFF0003FFFC00000001FFFE000000000FFF8
5875 00003FFFE00000001FFFF0000000000FC000001FFFE00000000FFFF0000000000F800000
5876 1FFFE00000000FFFF8000000000F8000001FFFF00000000FFFF8000000001F8000000FFF
5877 F000000007FFF8000000001F0000000FFFF800000007FFFC000000001F0000000FFFF800
5878 000003FFFC000000003F00000007FFF800000003FFFC000000003E00000007FFFC000000
5879 03FFFE000000003E00000003FFFC00000001FFFE000000007C00000003FFFC00000001FF
5880 FF000000007C00000003FFFE00000001FFFF00000000FC00000001FFFE00000001FFFF00
5881 000000F800000001FFFF00000003FFFF80000000F800000001FFFF00000003FFFF800000
5882 01F800000000FFFF00000003FFFF80000001F000000000FFFF80000007FFFFC0000001F0
5883 000000007FFF80000007FFFFC0000003E0000000007FFF80000007FFFFE0000003E00000
5884 00007FFFC000000FFFFFE0000007E0000000003FFFC000000F9FFFE0000007C000000000
5885 3FFFE000001F9FFFF0000007C0000000003FFFE000001F0FFFF000000FC0000000001FFF
5886 E000001F0FFFF000000F80000000001FFFF000003F0FFFF800000F80000000000FFFF000
5887 003E07FFF800001F00000000000FFFF000003E07FFFC00001F00000000000FFFF800007E
5888 07FFFC00003F000000000007FFF800007C03FFFC00003E000000000007FFFC0000FC03FF
5889 FE00003E000000000007FFFC0000F801FFFE00007E000000000003FFFC0000F801FFFE00
5890 007C000000000003FFFE0001F801FFFF00007C000000000003FFFE0001F000FFFF0000FC
5891 000000000001FFFE0001F000FFFF8000F8000000000001FFFF0003F000FFFF8001F80000
5892 00000000FFFF0003E0007FFF8001F0000000000000FFFF0007E0007FFFC001F000000000
5893 0000FFFF8007C0003FFFC003F00000000000007FFF8007C0003FFFC003E0000000000000
5894 7FFFC00FC0003FFFE003E00000000000007FFFC00F80001FFFE007E00000000000003FFF
5895 C00F80001FFFF007C00000000000003FFFE01F80001FFFF00FC00000000000001FFFE01F
5896 00000FFFF00F800000000000001FFFE01F00000FFFF80F800000000000001FFFF03E0000
5897 07FFF81F800000000000000FFFF03E000007FFF81F000000000000000FFFF87E000007FF
5898 FC1F000000000000000FFFF87C000003FFFC3F0000000000000007FFF87C000003FFFE3E
5899 0000000000000007FFFCFC000003FFFE7E0000000000000003FFFCF8000001FFFE7C0000
5900 000000000003FFFCF8000001FFFF7C0000000000000003FFFFF0000000FFFFFC00000000
5901 00000001FFFFF0000000FFFFF80000000000000001FFFFF0000000FFFFF8000000000000
5902 0001FFFFE00000007FFFF80000000000000000FFFFE00000007FFFF00000000000000000
5903 FFFFE00000007FFFF000000000000000007FFFC00000003FFFE000000000000000007FFF
5904 C00000003FFFE000000000000000007FFF800000001FFFE000000000000000003FFF8000
5905 00001FFFC000000000000000003FFF800000001FFFC000000000000000003FFF00000000
5906 0FFFC000000000000000001FFF000000000FFF8000000000000000001FFF000000000FFF
5907 8000000000000000000FFE0000000007FF0000000000000000000FFE0000000007FF0000
5908 000000000000000FFE0000000007FF00000000000000000007FC0000000003FE00000000
5909 000000000007FC0000000003FE00000000000000000007F80000000001FE000000000000
5910 00000003F80000000001FC00000000000000000003F80000000001FC0000000000000000
5911 0001F00000000000F8000000000084537DD18B>I<FFFFFFFFFF0000000FFFFFFF80FFFF
5912 FFFFFF0000000FFFFFFF80FFFFFFFFFF0000000FFFFFFF80FFFFFFFFFF0000000FFFFFFF
5913 80FFFFFFFFFF0000000FFFFFFF80000FFFFC00000000003FFF0000000FFFFE0000000000
5914 07F800000007FFFF000000000007F000000003FFFF00000000000FE000000003FFFF8000
5915 0000000FE000000001FFFFC0000000001FC000000000FFFFC0000000003F8000000000FF
5916 FFE0000000003F80000000007FFFF0000000007F00000000003FFFF000000000FE000000
5917 00003FFFF800000000FE00000000001FFFFC00000001FC00000000000FFFFC00000003F8
5918 00000000000FFFFE00000003F8000000000007FFFF00000007F0000000000003FFFF0000
5919 000FE0000000000003FFFF8000000FE0000000000001FFFFC000001FC0000000000000FF
5920 FFC000003F80000000000000FFFFE000003F800000000000007FFFF000007F0000000000
5921 00003FFFF00000FF000000000000003FFFF80000FE000000000000001FFFFC0001FC0000
5922 00000000000FFFFC0003FC000000000000000FFFFE0003F80000000000000007FFFF0007
5923 F00000000000000003FFFF000FF00000000000000003FFFF800FE00000000000000001FF
5924 FFC01FC00000000000000000FFFFC03FC00000000000000000FFFFE03F80000000000000
5925 00007FFFF07F0000000000000000003FFFF0FF0000000000000000003FFFF8FE00000000
5926 00000000001FFFFDFC0000000000000000000FFFFFFC0000000000000000000FFFFFF800
5927 000000000000000007FFFFF000000000000000000003FFFFF000000000000000000001FF
5928 FFE000000000000000000001FFFFC000000000000000000000FFFFC00000000000000000
5929 00007FFF80000000000000000000007FFF00000000000000000000007FFF000000000000
5930 00000000007FFF00000000000000000000007FFF00000000000000000000007FFF000000
5931 00000000000000007FFF00000000000000000000007FFF00000000000000000000007FFF
5932 00000000000000000000007FFF00000000000000000000007FFF00000000000000000000
5933 007FFF00000000000000000000007FFF00000000000000000000007FFF00000000000000
5934 000000007FFF00000000000000000000007FFF00000000000000000000007FFF00000000
5935 000000000000007FFF00000000000000000000007FFF00000000000000000000007FFF00
5936 000000000000000000007FFF00000000000000000000007FFF0000000000000000000000
5937 7FFF00000000000000000000007FFF00000000000000000000007FFF0000000000000000
5938 0000007FFF00000000000000000000007FFF00000000000000000000007FFF0000000000
5939 0000000000007FFF0000000000000000000FFFFFFFFFF8000000000000000FFFFFFFFFF8
5940 000000000000000FFFFFFFFFF8000000000000000FFFFFFFFFF8000000000000000FFFFF
5941 FFFFF80000000061527ED166>89 D<00007FFF000000000007FFFFF0000000003FFFFFFE
5942 00000000FFFFFFFF80000001FFE00FFFC0000003FE0001FFF0000007FF0000FFF8000007
5943 FF80003FFC00000FFF80003FFE00000FFFC0001FFE00000FFFC0001FFF00000FFFC0000F
5944 FF80000FFFC0000FFF80000FFFC0000FFF800007FF800007FFC00007FF800007FFC00003
5945 FF000007FFC00001FE000007FFC0000000000007FFC0000000000007FFC0000000000007
5946 FFC0000000000007FFC0000000000007FFC0000000000007FFC0000000007FFFFFC00000
5947 000FFFFFFFC0000000FFFFFFFFC0000007FFFF87FFC000003FFFF007FFC000007FFF8007
5948 FFC00001FFFC0007FFC00003FFF00007FFC00007FFE00007FFC0000FFFC00007FFC0001F
5949 FF800007FFC0003FFF000007FFC0007FFF000007FFC0007FFE000007FFC0007FFE000007
5950 FFC000FFFC000007FFC000FFFC000007FFC000FFFC000007FFC000FFFC000007FFC000FF
5951 FC00000FFFC000FFFC00000FFFC000FFFE00001FFFC0007FFE00001DFFC0007FFE00003D
5952 FFC0003FFF000079FFE0001FFF8000F1FFF8000FFFC003E1FFFFE007FFF81FC0FFFFF003
5953 FFFFFF807FFFF000FFFFFF001FFFF0001FFFFC0007FFE00001FFE0000000003C387CB641
5954 >97 D<003FF0000000000000FFFFF0000000000000FFFFF0000000000000FFFFF0000000
5955 000000FFFFF0000000000000FFFFF000000000000003FFF000000000000000FFF0000000
5956 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
5957 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
5958 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
5959 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
5960 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
5961 00000000FFF000000000000000FFF001FFE000000000FFF00FFFFE00000000FFF03FFFFF
5962 C0000000FFF0FFFFFFF0000000FFF3FF01FFF8000000FFF7F8003FFE000000FFFFE0000F
5963 FF000000FFFF800007FF800000FFFF000003FFC00000FFFE000001FFE00000FFFC000001
5964 FFF00000FFF8000000FFF80000FFF8000000FFF80000FFF80000007FFC0000FFF8000000
5965 7FFC0000FFF80000007FFE0000FFF80000007FFE0000FFF80000007FFF0000FFF8000000
5966 3FFF0000FFF80000003FFF0000FFF80000003FFF0000FFF80000003FFF8000FFF8000000
5967 3FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF8000000
5968 3FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF8000000
5969 3FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF0000FFF8000000
5970 3FFF0000FFF80000003FFF0000FFF80000003FFF0000FFF80000007FFE0000FFF8000000
5971 7FFE0000FFF80000007FFE0000FFF80000007FFC0000FFF8000000FFFC0000FFF8000000
5972 FFF80000FFFC000001FFF00000FFFC000001FFF00000FFFE000003FFE00000FFFF000007
5973 FFC00000FFFF80000FFF800000FFCFC0001FFF000000FF87F0007FFC000000FF03FE03FF
5974 F8000000FE00FFFFFFE0000000FC007FFFFF80000000F8001FFFFC00000000000003FFC0
5975 00000041547BD24B>I<000001FFF8000000001FFFFF80000000FFFFFFF0000003FFFFFF
5976 FC00000FFFC00FFE00001FFE0001FF00007FFC0003FF8000FFF00007FF8001FFF00007FF
5977 C003FFE0000FFFC003FFC0000FFFC007FFC0000FFFC00FFF80000FFFC00FFF80000FFFC0
5978 1FFF800007FF801FFF000007FF803FFF000003FF003FFF000001FE007FFF00000000007F
5979 FE00000000007FFE00000000007FFE0000000000FFFE0000000000FFFE0000000000FFFE
5980 0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE00
5981 00000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000
5982 0000007FFE00000000007FFF00000000007FFF00000000003FFF00000000003FFF000000
5983 00003FFF00000003E01FFF80000003E01FFF80000007E00FFFC0000007C007FFC0000007
5984 C007FFE000000FC003FFE000001F8001FFF000003F0000FFF800007E00007FFE0000FC00
5985 003FFF0003F800000FFFE01FF0000003FFFFFFE0000000FFFFFF800000003FFFFE000000
5986 0001FFE0000033387CB63C>I<000000000001FF80000000000007FFFF80000000000007
5987 FFFF80000000000007FFFF80000000000007FFFF80000000000007FFFF80000000000000
5988 1FFF8000000000000007FF8000000000000007FF8000000000000007FF80000000000000
5989 07FF8000000000000007FF8000000000000007FF8000000000000007FF80000000000000
5990 07FF8000000000000007FF8000000000000007FF8000000000000007FF80000000000000
5991 07FF8000000000000007FF8000000000000007FF8000000000000007FF80000000000000
5992 07FF8000000000000007FF8000000000000007FF8000000000000007FF80000000000000
5993 07FF8000000000000007FF8000000000000007FF8000000001FFE007FF800000001FFFFC
5994 07FF80000000FFFFFF07FF80000003FFFFFFC7FF8000000FFFE03FE7FF8000001FFF0007
5995 F7FF8000007FFC0001FFFF800000FFF80000FFFF800001FFF000003FFF800003FFE00000
5996 1FFF800007FFC000001FFF800007FFC000000FFF80000FFF8000000FFF80001FFF800000
5997 0FFF80001FFF0000000FFF80003FFF0000000FFF80003FFF0000000FFF80003FFF000000
5998 0FFF80007FFE0000000FFF80007FFE0000000FFF80007FFE0000000FFF80007FFE000000
5999 0FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE000000
6000 0FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE000000
6001 0FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE000000
6002 0FFF80007FFE0000000FFF80007FFE0000000FFF80007FFE0000000FFF80003FFF000000
6003 0FFF80003FFF0000000FFF80003FFF0000000FFF80001FFF0000000FFF80001FFF000000
6004 0FFF80000FFF8000000FFF80000FFF8000001FFF800007FFC000003FFF800003FFC00000
6005 3FFF800001FFE000007FFF800000FFF00001FFFF8000007FF80003FFFFE000003FFE000F
6006 EFFFFF80000FFFC07FCFFFFF800007FFFFFF8FFFFF800001FFFFFE0FFFFF8000003FFFF8
6007 0FFFFF80000003FFC00FFE000041547CD24B>I<000003FFC0000000003FFFFC00000001
6008 FFFFFF00000007FFFFFFC000000FFF81FFE000003FFC007FF800007FF8003FFC0000FFF0
6009 001FFE0001FFE0000FFE0003FFC00007FF0007FFC00007FF800FFF800003FF800FFF8000
6010 03FFC01FFF800001FFC01FFF000001FFC03FFF000001FFE03FFF000001FFE07FFF000000
6011 FFE07FFE000000FFE07FFE000000FFF07FFE000000FFF0FFFE000000FFF0FFFE000000FF
6012 F0FFFE000000FFF0FFFE000000FFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0
6013 FFFFFFFFFFFFE0FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FF
6014 FE0000000000FFFE00000000007FFE00000000007FFE00000000007FFF00000000003FFF
6015 00000000003FFF00000000003FFF00000000E01FFF00000001F01FFF80000003F00FFF80
6016 000003F007FFC0000007E007FFC0000007E003FFE000000FC001FFF000001FC000FFF800
6017 003F80007FFC0000FF00001FFE0003FE00000FFFC03FF8000003FFFFFFF0000000FFFFFF
6018 C00000001FFFFE0000000001FFF0000034387CB63D>I<0000003FFC00000003FFFF0000
6019 000FFFFFC000003FFFFFE00000FFF81FF00001FFC03FF80003FF807FF80007FF00FFFC00
6020 0FFE00FFFC001FFC00FFFC001FFC00FFFC003FF800FFFC003FF800FFFC003FF8007FF800
6021 7FF0007FF8007FF0003FF0007FF0000FC0007FF0000000007FF0000000007FF000000000
6022 7FF0000000007FF0000000007FF0000000007FF0000000007FF0000000007FF000000000
6023 7FF0000000007FF0000000007FF0000000007FF0000000007FF0000000FFFFFFFFE000FF
6024 FFFFFFE000FFFFFFFFE000FFFFFFFFE000FFFFFFFFE000007FF8000000007FF800000000
6025 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6026 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6027 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6028 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6029 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6030 7FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800000000
6031 7FF8000000007FF8000000007FF8000000007FF8000000007FF80000007FFFFFFE00007F
6032 FFFFFE00007FFFFFFE00007FFFFFFE00007FFFFFFE00002E547CD329>I<00003FFF0000
6033 FF000003FFFFF007FFC0000FFFFFFC1FFFE0003FFFFFFF7FFFE0007FFC0FFFFF9FF000FF
6034 E001FFF83FF001FFC000FFE03FF003FF80007FF01FF007FF00003FF81FE00FFF00003FFC
6035 0FC00FFF00003FFC07801FFE00001FFE00001FFE00001FFE00003FFE00001FFF00003FFE
6036 00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF
6037 00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00001FFE00001FFE00001FFE
6038 00001FFE00000FFF00003FFC00000FFF00003FFC000007FF00003FF8000003FF80007FF0
6039 000001FFC000FFE0000000FFE001FFC0000000FFFC0FFF80000001FFFFFFFF00000003EF
6040 FFFFFC00000003C3FFFFF000000007C03FFF0000000007C000000000000007C000000000
6041 00000FC00000000000000FC00000000000000FC00000000000000FE00000000000000FE0
6042 0000000000000FF80000000000000FFE0000000000000FFFFFFFFF00000007FFFFFFFFF8
6043 000007FFFFFFFFFF000007FFFFFFFFFFC00003FFFFFFFFFFE00001FFFFFFFFFFF00000FF
6044 FFFFFFFFF800007FFFFFFFFFFC00007FFFFFFFFFFE0001FFFFFFFFFFFF0007FFFFFFFFFF
6045 FF000FFE000003FFFF801FF80000003FFF803FF000000007FF807FE000000003FFC07FE0
6046 00000001FFC0FFC000000001FFC0FFC000000000FFC0FFC000000000FFC0FFC000000000
6047 FFC0FFC000000000FFC0FFC000000000FFC0FFE000000001FFC07FE000000001FF807FF0
6048 00000003FF803FF000000003FF001FF800000007FE000FFE0000001FFC0007FF8000007F
6049 F80003FFE00001FFF00001FFFE001FFFE000007FFFFFFFFF8000000FFFFFFFFC00000001
6050 FFFFFFE0000000000FFFFC0000003C4F7CB543>I<003FF0000000000000FFFFF0000000
6051 000000FFFFF0000000000000FFFFF0000000000000FFFFF0000000000000FFFFF0000000
6052 00000003FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
6053 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
6054 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
6055 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
6056 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0000000
6057 00000000FFF000000000000000FFF000000000000000FFF000000000000000FFF0001FFC
6058 00000000FFF000FFFFC0000000FFF003FFFFF0000000FFF00FFFFFF8000000FFF01FE07F
6059 FC000000FFF03F001FFE000000FFF07C001FFF000000FFF0F0000FFF000000FFF1E0000F
6060 FF800000FFF3C0000FFF800000FFF7800007FF800000FFF7800007FFC00000FFFF000007
6061 FFC00000FFFE000007FFC00000FFFE000007FFC00000FFFC000007FFC00000FFFC000007
6062 FFC00000FFFC000007FFC00000FFFC000007FFC00000FFF8000007FFC00000FFF8000007
6063 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6064 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6065 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6066 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6067 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6068 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6069 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6070 FFC000FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FF
6071 FFFFC0FFFFFFF807FFFFFFC042537BD24B>I<007F000000FF800003FFE00007FFF00007
6072 FFF0000FFFF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF80007FFF00007
6073 FFF00003FFE00000FF8000007F0000000000000000000000000000000000000000000000
6074 00000000000000000000000000000000000000000000000000000000000000003FF000FF
6075 FFF000FFFFF000FFFFF000FFFFF000FFFFF00001FFF00000FFF00000FFF00000FFF00000
6076 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6077 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6078 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6079 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6080 FFF00000FFF00000FFF000FFFFFFE0FFFFFFE0FFFFFFE0FFFFFFE0FFFFFFE01B547BD325
6081 >I<003FF00000000000FFFFF00000000000FFFFF00000000000FFFFF00000000000FFFF
6082 F00000000000FFFFF0000000000003FFF0000000000000FFF0000000000000FFF0000000
6083 000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FF
6084 F0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000
6085 000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FF
6086 F0000000000000FFF0000000000000FFF0000000000000FFF0000000000000FFF0000000
6087 000000FFF0000000000000FFF0000000000000FFF0000000000000FFF00001FFFFF800FF
6088 F00001FFFFF800FFF00001FFFFF800FFF00001FFFFF800FFF00001FFFFF800FFF000003F
6089 FE0000FFF000001FF00000FFF000003FC00000FFF000007F800000FFF00000FF000000FF
6090 F00003FE000000FFF00007F8000000FFF0000FF0000000FFF0001FE0000000FFF0007FC0
6091 000000FFF000FF00000000FFF001FE00000000FFF003FC00000000FFF00FF800000000FF
6092 F01FE000000000FFF03FF000000000FFF07FF800000000FFF1FFF800000000FFF3FFFC00
6093 000000FFF7FFFE00000000FFFFFFFF00000000FFFFFFFF80000000FFFF9FFF80000000FF
6094 FF0FFFC0000000FFFE0FFFE0000000FFF807FFF0000000FFF003FFF0000000FFF001FFF8
6095 000000FFF000FFFC000000FFF000FFFE000000FFF0007FFF000000FFF0003FFF000000FF
6096 F0001FFF800000FFF0001FFFC00000FFF0000FFFE00000FFF00007FFF00000FFF00003FF
6097 F00000FFF00001FFF80000FFF00001FFFC0000FFF00000FFFE0000FFF000007FFE0000FF
6098 F000003FFF0000FFF000007FFFC0FFFFFFF003FFFFFFFFFFFFF003FFFFFFFFFFFFF003FF
6099 FFFFFFFFFFF003FFFFFFFFFFFFF003FFFFFF40537CD247>107 D<003FF000FFFFF000FF
6100 FFF000FFFFF000FFFFF000FFFFF00001FFF00000FFF00000FFF00000FFF00000FFF00000
6101 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6102 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6103 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6104 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6105 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6106 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6107 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000
6108 FFF00000FFF00000FFF00000FFF000FFFFFFF0FFFFFFF0FFFFFFF0FFFFFFF0FFFFFFF01C
6109 537BD225>I<003FF0001FFC000000FFE00000FFFFF000FFFFC00007FFFE0000FFFFF003
6110 FFFFF0001FFFFF8000FFFFF00FFFFFF8007FFFFFC000FFFFF01FE07FFC00FF03FFE000FF
6111 FFF03F001FFE01F800FFF00003FFF07C001FFF03E000FFF80000FFF0F0000FFF0780007F
6112 F80000FFF1E0000FFF8F00007FFC0000FFF3C0000FFF9E00007FFC0000FFF7800007FFBC
6113 00003FFC0000FFF7800007FFFC00003FFE0000FFFF000007FFF800003FFE0000FFFE0000
6114 07FFF000003FFE0000FFFE000007FFF000003FFE0000FFFC000007FFE000003FFE0000FF
6115 FC000007FFE000003FFE0000FFFC000007FFE000003FFE0000FFFC000007FFE000003FFE
6116 0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000
6117 003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007
6118 FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8
6119 000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE00
6120 00FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC00000
6121 3FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FF
6122 C000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF800
6123 0007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000
6124 FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003F
6125 FE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC0
6126 00003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE00FFFFFFF807
6127 FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFF
6128 FFF807FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFE67367BB570>I<003FF0001F
6129 FC000000FFFFF000FFFFC00000FFFFF003FFFFF00000FFFFF00FFFFFF80000FFFFF01FE0
6130 7FFC0000FFFFF03F001FFE000003FFF07C001FFF000000FFF0F0000FFF000000FFF1E000
6131 0FFF800000FFF3C0000FFF800000FFF7800007FF800000FFF7800007FFC00000FFFF0000
6132 07FFC00000FFFE000007FFC00000FFFE000007FFC00000FFFC000007FFC00000FFFC0000
6133 07FFC00000FFFC000007FFC00000FFFC000007FFC00000FFF8000007FFC00000FFF80000
6134 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6135 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6136 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6137 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6138 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6139 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6140 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000
6141 07FFC000FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807
6142 FFFFFFC0FFFFFFF807FFFFFFC042367BB54B>I<000001FFE000000000001FFFFE000000
6143 0000FFFFFFC000000003FFFFFFF00000000FFF807FFC0000001FFC000FFE0000007FF800
6144 07FF800000FFF00003FFC00001FFE00001FFE00003FFC00000FFF00003FF8000007FF000
6145 07FF8000007FF8000FFF0000003FFC000FFF0000003FFC001FFF0000003FFE001FFF0000
6146 003FFE003FFE0000001FFF003FFE0000001FFF003FFE0000001FFF007FFE0000001FFF80
6147 7FFE0000001FFF807FFE0000001FFF807FFE0000001FFF80FFFE0000001FFFC0FFFE0000
6148 001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0
6149 FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000
6150 001FFFC0FFFE0000001FFFC07FFE0000001FFF807FFE0000001FFF807FFE0000001FFF80
6151 3FFE0000001FFF003FFF0000003FFF003FFF0000003FFF001FFF0000003FFE001FFF0000
6152 003FFE000FFF0000003FFC000FFF8000007FFC0007FF8000007FF80003FFC00000FFF000
6153 01FFE00001FFE00000FFF00003FFC000007FF80007FF8000003FFE001FFF0000000FFF80
6154 7FFC00000007FFFFFFF800000000FFFFFFC0000000003FFFFF000000000001FFE0000000
6155 3A387CB643>I<003FF001FFE0000000FFFFF00FFFFE000000FFFFF03FFFFFC00000FFFF
6156 F0FFFFFFF00000FFFFF3FF01FFF80000FFFFF7F8007FFE000003FFFFE0001FFF000000FF
6157 FF80000FFF800000FFFF000007FFC00000FFFE000007FFE00000FFFC000003FFF00000FF
6158 F8000001FFF80000FFF8000001FFF80000FFF8000000FFFC0000FFF8000000FFFC0000FF
6159 F8000000FFFE0000FFF80000007FFE0000FFF80000007FFF0000FFF80000007FFF0000FF
6160 F80000007FFF0000FFF80000007FFF0000FFF80000003FFF8000FFF80000003FFF8000FF
6161 F80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FF
6162 F80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FFF80000003FFF8000FF
6163 F80000003FFF8000FFF80000003FFF8000FFF80000003FFF0000FFF80000007FFF0000FF
6164 F80000007FFF0000FFF80000007FFF0000FFF80000007FFE0000FFF8000000FFFE0000FF
6165 F8000000FFFE0000FFF8000000FFFC0000FFF8000001FFFC0000FFF8000001FFF80000FF
6166 FC000003FFF00000FFFC000003FFF00000FFFE000007FFE00000FFFF00000FFFC00000FF
6167 FF80001FFF800000FFFFC0003FFF000000FFFFF000FFFC000000FFFBFE07FFF8000000FF
6168 F8FFFFFFE0000000FFF87FFFFF80000000FFF81FFFFC00000000FFF803FFC000000000FF
6169 F800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FF
6170 F800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FF
6171 F800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FF
6172 F800000000000000FFF800000000000000FFF800000000000000FFF800000000000000FF
6173 F8000000000000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF80000000000FFFF
6174 FFF80000000000FFFFFFF80000000000414D7BB54B>I<007FE003FE00FFFFE00FFF80FF
6175 FFE03FFFE0FFFFE07FFFF0FFFFE0FE1FF8FFFFE1F83FFC03FFE3E03FFE00FFE3C07FFE00
6176 FFE7807FFE00FFEF807FFE00FFEF007FFE00FFEE007FFE00FFFE003FFC00FFFC003FFC00
6177 FFFC001FF800FFFC000FF000FFF800000000FFF800000000FFF800000000FFF800000000
6178 FFF800000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000
6179 FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000
6180 FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000
6181 FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000
6182 FFF000000000FFF000000000FFF000000000FFF000000000FFF0000000FFFFFFFC0000FF
6183 FFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC00002F367CB537>114
6184 D<0003FFF00F00003FFFFE1F0000FFFFFFFF0003FFFFFFFF0007FF003FFF000FF80007FF
6185 001FE00001FF003FC00000FF003F8000007F007F8000007F007F0000003F007F0000003F
6186 00FF0000001F00FF0000001F00FF8000001F00FF8000001F00FFC000001F00FFF0000000
6187 00FFFC00000000FFFFC00000007FFFFF0000007FFFFFF800003FFFFFFF00003FFFFFFFC0
6188 001FFFFFFFF0000FFFFFFFF80007FFFFFFFC0003FFFFFFFE0000FFFFFFFF00003FFFFFFF
6189 80000FFFFFFFC00000FFFFFFC0000007FFFFE00000003FFFE000000007FFF000000001FF
6190 F0780000007FF0F80000003FF0F80000001FF0FC0000001FF0FC0000000FF0FC0000000F
6191 F0FE0000000FF0FE0000000FE0FF0000000FE0FF8000001FE0FF8000001FC0FFC000001F
6192 C0FFE000003F80FFF800007F00FFFE0001FE00FFFFC00FFC00FF7FFFFFF800FC1FFFFFE0
6193 00F807FFFF8000F000FFF800002C387CB635>I<00003E00000000003E00000000003E00
6194 000000003E00000000003E00000000003E00000000007E00000000007E00000000007E00
6195 000000007E0000000000FE0000000000FE0000000001FE0000000001FE0000000001FE00
6196 00000003FE0000000007FE0000000007FE000000000FFE000000001FFE000000003FFE00
6197 000000FFFE00000001FFFE0000000FFFFFFFFF00FFFFFFFFFF00FFFFFFFFFF00FFFFFFFF
6198 FF00FFFFFFFFFF00003FFE000000003FFE000000003FFE000000003FFE000000003FFE00
6199 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00
6200 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00
6201 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE00
6202 0000003FFE000000003FFE000000003FFE000000003FFE000000003FFE0007C0003FFE00
6203 07C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE00
6204 07C0003FFE0007C0003FFE0007C0003FFE0007C0001FFE000F80001FFF000F80001FFF00
6205 0F80000FFF001F00000FFF801F000007FFC03E000003FFF0FC000001FFFFF80000007FFF
6206 F00000001FFFE000000003FF80002A4D7ECB34>I<003FF8000001FFC000FFFFF80007FF
6207 FFC000FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FF
6208 FFC00003FFF800001FFFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6209 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6210 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6211 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6212 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6213 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6214 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6215 FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007
6216 FFC00000FFF8000007FFC00000FFF800000FFFC00000FFF800000FFFC00000FFF800000F
6217 FFC00000FFF800001FFFC00000FFF800001FFFC000007FF800003FFFC000007FF800003B
6218 FFC000007FF800007BFFC000003FFC0000F3FFC000003FFC0001E3FFF000001FFE0007C3
6219 FFFFC0000FFFC03F83FFFFC00007FFFFFF03FFFFC00001FFFFFE03FFFFC000007FFFF803
6220 FFFFC0000007FFE003FF000042377BB54B>I<FFFFFFF00007FFFFFFFFFFF00007FFFFFF
6221 FFFFF00007FFFFFFFFFFF00007FFFFFFFFFFF00007FFFF01FFF80000007FE000FFFC0000
6222 003F0000FFFC0000003F00007FFC0000003E00007FFE0000007E00003FFE0000007C0000
6223 3FFF000000FC00001FFF000000F800001FFF800001F800000FFF800001F000000FFFC000
6224 01F000000FFFC00003F0000007FFC00003E0000007FFE00007E0000003FFE00007C00000
6225 03FFF0000FC0000001FFF0000F80000001FFF8001F80000000FFF8001F00000000FFFC00
6226 1F00000000FFFC003F000000007FFE003E000000007FFE007E000000003FFE007C000000
6227 003FFF00FC000000001FFF00F8000000001FFF81F8000000000FFF81F0000000000FFFC3
6228 F0000000000FFFC3F00000000007FFE3E00000000007FFE7E00000000003FFE7C0000000
6229 0003FFFFC00000000001FFFF800000000001FFFF800000000000FFFF000000000000FFFF
6230 0000000000007FFE0000000000007FFE0000000000007FFE0000000000003FFC00000000
6231 00003FFC0000000000001FF80000000000001FF80000000000000FF00000000000000FF0
6232 00000000000007E000000000000003C000000040367DB447>I<FFFFFFE07FFFFFC003FF
6233 FFC0FFFFFFE07FFFFFC003FFFFC0FFFFFFE07FFFFFC003FFFFC0FFFFFFE07FFFFFC003FF
6234 FFC0FFFFFFE07FFFFFC003FFFFC001FFF00000FFF000001FF80001FFF800007FF0000007
6235 E00000FFF800007FF8000007C00000FFF800007FF8000007C00000FFFC00003FF800000F
6236 C000007FFC00003FFC00000F8000007FFC00003FFC00000F8000007FFE00003FFC00001F
6237 8000003FFE00007FFE00001F0000003FFF00007FFE00003F0000001FFF00007FFF00003E
6238 0000001FFF0000FFFF00003E0000001FFF8000FFFF00007E0000000FFF8001FFFF80007C
6239 0000000FFFC001F3FF8000FC00000007FFC001F3FFC000F800000007FFC003F3FFC000F8
6240 00000007FFE003E1FFC001F800000003FFE007E1FFE001F000000003FFF007C0FFE001F0
6241 00000001FFF007C0FFF003E000000001FFF00FC0FFF003E000000001FFF80F807FF007E0
6242 00000000FFF80F807FF807C000000000FFF81F003FF807C000000000FFFC1F003FF80FC0
6243 000000007FFC3F003FFC0F80000000007FFE3E001FFC1F80000000003FFE3E001FFE1F00
6244 000000003FFE7E001FFE1F00000000003FFF7C000FFE3F00000000001FFFFC000FFF3E00
6245 000000001FFFF80007FF7E00000000000FFFF80007FFFC00000000000FFFF80007FFFC00
6246 000000000FFFF00003FFFC000000000007FFF00003FFF8000000000007FFE00001FFF800
6247 0000000003FFE00001FFF0000000000003FFE00001FFF0000000000003FFC00000FFF000
6248 0000000001FFC00000FFE0000000000001FF8000007FE0000000000001FF8000007FE000
6249 0000000000FF8000007FC0000000000000FF0000003FC00000000000007F0000003F8000
6250 00000000007F0000003F800000000000003E0000001F000000005A367DB461>I<7FFFFF
6251 F0007FFFFE007FFFFFF0007FFFFE007FFFFFF0007FFFFE007FFFFFF0007FFFFE007FFFFF
6252 F0007FFFFE00007FFE00000FFF0000003FFF000007F80000001FFF800007F00000000FFF
6253 C0000FE000000007FFC0001FC000000007FFE0003F8000000003FFF0003F0000000001FF
6254 F8007E0000000000FFFC00FC00000000007FFE01FC00000000007FFE03F800000000003F
6255 FF07F000000000001FFF8FE000000000000FFFCFC0000000000007FFFF80000000000003
6256 FFFF00000000000003FFFF00000000000001FFFE00000000000000FFFC00000000000000
6257 7FFE000000000000003FFF000000000000003FFF000000000000001FFF80000000000000
6258 1FFFC00000000000003FFFE00000000000007FFFF0000000000000FFFFF0000000000001
6259 FDFFF8000000000001F8FFFC000000000003F07FFE000000000007E03FFF00000000000F
6260 E01FFF00000000001FC01FFF80000000003F800FFFC0000000007F0007FFE000000000FE
6261 0003FFF000000000FC0001FFF800000001F80001FFF800000003F00000FFFC00000007F0
6262 00007FFE0000000FE000003FFF0000001FC000001FFF800000FFF000001FFF8000FFFFFE
6263 0001FFFFFFC0FFFFFE0001FFFFFFC0FFFFFE0001FFFFFFC0FFFFFE0001FFFFFFC0FFFFFE
6264 0001FFFFFFC042357EB447>I<FFFFFFF00007FFFFFFFFFFF00007FFFFFFFFFFF00007FF
6265 FFFFFFFFF00007FFFFFFFFFFF00007FFFF00FFF80000007FE000FFFC0000003F0000FFFC
6266 0000003F00007FFE0000003E00007FFE0000007E00003FFE0000007C00003FFF000000FC
6267 00001FFF000000F800001FFF800001F800000FFF800001F000000FFFC00003F0000007FF
6268 C00003E0000007FFE00003E0000007FFE00007E0000003FFF00007C0000003FFF0000FC0
6269 000001FFF8000F80000001FFF8001F80000000FFF8001F00000000FFFC003F000000007F
6270 FC003E000000007FFE007E000000003FFE007C000000003FFF00FC000000003FFF00FC00
6271 0000001FFF80F8000000001FFF81F8000000000FFFC1F0000000000FFFC3F00000000007
6272 FFC3E00000000007FFE7E00000000003FFE7C00000000003FFFFC00000000001FFFF8000
6273 00000001FFFF800000000000FFFF000000000000FFFF000000000000FFFF000000000000
6274 7FFE0000000000007FFE0000000000003FFC0000000000003FFC0000000000001FF80000
6275 000000001FF80000000000000FF00000000000000FF000000000000007E0000000000000
6276 07E000000000000007E000000000000007C00000000000000FC00000000000000F800000
6277 000000001F800000000000001F000000000000003F000000001FC0003E000000003FE000
6278 7E000000007FF0007C00000000FFF800FC00000000FFF800F800000000FFF801F8000000
6279 00FFF801F000000000FFF803F000000000FFF807E0000000007FF00FC0000000007FE01F
6280 80000000003FC07F00000000003F81FE00000000001FFFFC00000000000FFFF000000000
6281 0003FFE0000000000000FF000000000000404D7DB447>I E /Fq
6282 86 127 df<1C007F00FF80FF80FF80FF80FF80FF80FF80FF80FF80FF80FF80FF80FF80FF
6283 80FF80FF80FF80FF80FF80FF80FF807F007F007F007F007F007F007F007F007F007F007F
6284 007F007F007F007F007F007F007F007F007F003E00000000000000000000000000000000
6285 0000001C007F007F00FF80FF80FF807F007F001C00093E6BBD33>33
6286 D<080001003E0007C07F000FE07F000FE0FF000FF0FF000FF07F000FE07F000FE07F000F
6287 E07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07F000F
6288 E07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07F000FE07E0007
6289 E03E0007C03E0007C0080001001C1E75BD33>I<0003E0000000000FF8000000001FFC00
6290 0000003FFE000000007FFF00000000FFFF00000000FE3F80000001FC1F80000001F81F80
6291 000003F81FC0000003F00FC0000003F00FC0000003F00FC0000003F00FC0000003F00FC0
6292 000003F00FC0000003F00FC0000003F01FC0000003F01F80000003F03F87FFE003F83F0F
6293 FFF001F87F0FFFF001F87E0FFFF001F8FE0FFFF001F9FC07FFE001FFFC01F80000FFF801
6294 F80000FFF003F80000FFE003F00000FFE007F000007FC007E000007F8007E00000FF000F
6295 E00001FF000FC00001FF800FC00003FF801FC00007FFC01F80000FFFC01F80001FEFE03F
6296 80003FC7E03F00003F87F07F00007F03F07E00007F03F8FE00007F01FCFC0000FE01FCFC
6297 0000FE00FFFC0000FE007FF80000FE007FF80000FE003FF00180FE003FF003C0FE001FE0
6298 07E0FE000FE007E0FF001FF007E07F003FF007E07F007FF807E07F80FFFE0FE03FC3FFFF
6299 0FC03FFFFCFFFFC01FFFF87FFF800FFFF03FFF8007FFE00FFF0003FF8007FE0000FE0001
6300 F8002C3F7DBD33>38 D<07C00FF01FF81FF81FFC1FFC1FFE0FFE07FE007E007E007E007E
6301 007E007E00FE00FC00FC01FC03F803F807F00FF01FE07FC0FF80FF00FE00FC0070000F1E
6302 6EBC33>I<00000F0000003F8000007F800000FF800001FF000003FE000007F800000FF0
6303 00001FE000003FC000007F800000FF000000FE000001FE000001FC000003F8000007F800
6304 0007F000000FF000000FE000001FE000001FC000001FC000003FC000003F8000003F8000
6305 007F8000007F0000007F0000007F0000007F000000FF000000FE000000FE000000FE0000
6306 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000
6307 00FE000000FF0000007F0000007F0000007F0000007F0000007F8000003F8000003F8000
6308 003FC000001FC000001FC000001FE000000FE000000FF0000007F0000007F8000003F800
6309 0001FC000001FE000000FE000000FF0000007F8000003FC000001FE000000FF0000007F8
6310 000003FE000001FF000000FF8000007F8000003F8000000F00194D6FC433>I<78000000
6311 FE000000FF000000FF8000007FC000003FE000000FF0000007F8000003FC000001FE0000
6312 00FF0000007F8000003F8000003FC000001FC000000FE000000FF0000007F0000007F800
6313 0003F8000003FC000001FC000001FC000001FE000000FE000000FE000000FF0000007F00
6314 00007F0000007F0000007F0000007F8000003F8000003F8000003F8000003F8000003F80
6315 00003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000007F80
6316 00007F0000007F0000007F0000007F000000FF000000FE000000FE000001FE000001FC00
6317 0001FC000003FC000003F8000007F8000007F000000FF000000FE000001FC000003FC000
6318 003F8000007F800000FF000001FE000003FC000007F800000FF000003FE000007FC00000
6319 FF800000FF000000FE00000078000000194D78C433>I<0000F000000001F800000001F8
6320 00000001F800000001F800000001F800000001F800000001F800000001F800007001F800
6321 E0F801F801F0FE01F807F0FF01F80FF0FFC1F83FF0FFF1F8FFF03FF9F9FFC00FFFFFFF00
6322 03FFFFFC0000FFFFF000007FFFE000001FFF80000007FE0000001FFF8000007FFFE00000
6323 FFFFF00003FFFFFC000FFFFFFF003FF9F9FFC0FFF1F8FFF0FFC1F83FF0FF01F80FF0FE01
6324 F807F0F801F801F07001F800E00001F800000001F800000001F800000001F800000001F8
6325 00000001F800000001F800000001F800000000F00000242B79B333>I<00001F00000000
6326 001F00000000003F80000000003F80000000003F80000000003F80000000003F80000000
6327 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000
6328 003F80000000003F80000000003F80000000003F80000000003F8000007FFFFFFFFF807F
6329 FFFFFFFF80FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC07FFFFFFFFF807FFFFFFFFF8000
6330 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000
6331 003F80000000003F80000000003F80000000003F80000000003F80000000003F80000000
6332 003F80000000003F80000000003F80000000003F80000000001F00000000001F0000002A
6333 2B7CB333>I<07C00FF01FF83FF83FFC3FFC3FFE3FFE1FFE0FFE07FE007E00FE00FE00FC
6334 01FC03F807F80FF07FE0FFE0FFC0FF00FE0078000F196E8A33>I<7FFFFFFFFE7FFFFFFF
6335 FEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFE7FFFFFFFFE28077BA133>I<1F003F
6336 807FC0FFE0FFE0FFE0FFE0FFE07FC03F801F000B0B6C8A33>I<000000007800000000F8
6337 00000001FC00000001FC00000003FC00000003FC00000007F800000007F80000000FF000
6338 00000FF00000001FE00000001FE00000001FC00000003FC00000003FC00000007F800000
6339 007F80000000FF00000000FF00000001FE00000001FE00000001FC00000003FC00000003
6340 FC00000007F800000007F80000000FF00000000FF00000001FE00000001FE00000001FC0
6341 0000003FC00000003FC00000007F800000007F80000000FF00000000FF00000001FE0000
6342 0001FE00000001FC00000003FC00000003FC00000007F800000007F80000000FF0000000
6343 0FF00000000FE00000001FE00000001FE00000003FC00000003FC00000007F800000007F
6344 80000000FF00000000FF00000000FE00000001FE00000001FE00000003FC00000003FC00
6345 000007F800000007F80000000FF00000000FF00000000FE00000001FE00000001FE00000
6346 003FC00000003FC00000007F800000007F80000000FF00000000FF00000000FE00000000
6347 FE000000007C000000007C00000000264D7AC433>I<0000FF00000003FFC000000FFFF0
6348 00001FFFF800003FFFFC00007FFFFE0000FF81FF0001FE007F8003FC003FC003F8001FC0
6349 07F0000FE007F0000FE00FE00007F00FE00007F01FC00003F81FC00003F83F800001FC3F
6350 800001FC3F800001FC7F000000FE7F000000FE7F000000FE7F000000FE7E0000007EFE00
6351 00007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000
6352 007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFF000000
6353 FF7F000000FE7F000000FE7F000000FE7F000000FE7F800001FE3F800001FC3F800001FC
6354 3FC00003FC1FC00003F81FC00003F80FE00007F00FE00007F007F0000FE007F8001FE003
6355 FC003FC003FC003FC001FF00FF8000FF81FF00007FFFFE00003FFFFC00001FFFF800000F
6356 FFF0000003FFC0000000FF0000283F7BBD33>I<0001E000000003F000000003F0000000
6357 07F000000007F00000000FF00000000FF00000001FF00000003FF00000007FF0000000FF
6358 F0000003FFF000003FFFF000007FFFF00000FFF7F00000FFE7F00000FF87F000007E07F0
6359 00000007F000000007F000000007F000000007F000000007F000000007F000000007F000
6360 000007F000000007F000000007F000000007F000000007F000000007F000000007F00000
6361 0007F000000007F000000007F000000007F000000007F000000007F000000007F0000000
6362 07F000000007F000000007F000000007F000000007F000000007F000000007F000000007
6363 F000000007F000000007F000000007F000000007F000000007F000000007F000000007F0
6364 00000007F000000007F000003FFFFFFE007FFFFFFF007FFFFFFF807FFFFFFF807FFFFFFF
6365 003FFFFFFE00213E76BD33>I<0003FF0000001FFFE000007FFFFC0001FFFFFE0003FFFF
6366 FF8007FFFFFFC00FFE03FFE01FF0007FF01FE0001FF83FC0000FF83F800003FC7F800003
6367 FC7F000001FEFF000000FEFE000000FEFF000000FFFF0000007FFF0000007FFF0000007F
6368 7E0000007F3C0000007F000000007F000000007F00000000FF00000000FE00000000FE00
6369 000001FE00000001FC00000003FC00000003F800000007F80000000FF00000001FE00000
6370 003FE00000003FC00000007F80000000FF00000001FE00000007FC0000000FF80000001F
6371 F00000003FE00000007FC0000000FF80000001FF00000003FE00000007F80000001FF000
6372 00003FE00000007FC0000000FF80000001FF00000003FE00003E07FC00007F0FF000007F
6373 1FE000007F3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFF3FFFFFFFFE28
6374 3E7BBD33>I<0001FFC00000000FFFF80000003FFFFE000000FFFFFF800001FFFFFFC000
6375 03FFFFFFE00007FF807FF0000FFC000FF8000FF00007FC001FE00003FC001FE00001FE00
6376 1FE00001FE001FE00000FE001FE00000FE000FC00000FE0007800000FE0000000000FE00
6377 00000001FE0000000001FC0000000001FC0000000003FC0000000007F8000000000FF800
6378 0000001FF0000000003FE000000003FFC0000003FFFF80000007FFFF00000007FFFE0000
6379 0007FFFF00000007FFFFC0000003FFFFE0000000007FF0000000000FF80000000003FC00
6380 00000001FE0000000000FF00000000007F00000000007F80000000003F80000000003F80
6381 000000001FC0000000001FC0000000001FC03C0000001FC07E0000001FC0FF0000001FC0
6382 FF0000001FC0FF0000003FC0FF0000003F80FF0000007F807F0000007F007F800000FF00
6383 7FC00001FE003FE00003FE001FF8000FFC000FFF807FF80007FFFFFFF00003FFFFFFE000
6384 01FFFFFF8000007FFFFF0000000FFFFC00000001FFC000002A3F7CBD33>I<000000FF00
6385 00000001FF8000000003FF8000000007FF8000000007FF800000000FFF800000001FFF80
6386 0000001FDF800000003F9F800000003F9F800000007F1F80000000FE1F80000000FE1F80
6387 000001FC1F80000001FC1F80000003F81F80000007F01F80000007F01F8000000FE01F80
6388 00001FC01F8000001FC01F8000003F801F8000003F801F8000007F001F800000FE001F80
6389 0000FE001F800001FC001F800003FC001F800003F8001F800007F0001F800007F0001F80
6390 000FE0001F80001FC0001F80001FC0001F80003F80001F80003F80001F80007F00001F80
6391 00FE00001F8000FFFFFFFFFFE0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFF
6392 F07FFFFFFFFFE00000001F80000000001F80000000001F80000000001F80000000001F80
6393 000000001F80000000001F80000000001F80000000001F80000000001F80000000001F80
6394 000000001F800000001FFFFF8000003FFFFFC000007FFFFFE000007FFFFFE000003FFFFF
6395 C000001FFFFF802C3E7DBD33>I<07FFFFFFF00FFFFFFFF81FFFFFFFF81FFFFFFFF81FFF
6396 FFFFF81FFFFFFFF01FC00000001FC00000001FC00000001FC00000001FC00000001FC000
6397 00001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000
6398 001FC00000001FC00000001FC00000001FC0FFC0001FC7FFF8001FDFFFFC001FFFFFFF00
6399 1FFFFFFF801FFFFFFFC01FFF80FFE01FFC001FF01FF0000FF81FE00007F81FC00003FC0F
6400 800001FC07000001FE00000000FE00000000FE00000000FF000000007F000000007F0000
6401 00007F000000007F180000007F7E0000007F7E0000007FFF000000FFFF000000FEFF0000
6402 00FEFE000001FEFF000001FC7F000003FC7F800007F87FC0000FF83FE0001FF01FF0007F
6403 E01FFE03FFC00FFFFFFF8007FFFFFF0001FFFFFE0000FFFFF800003FFFE0000003FF0000
6404 283E7BBC33>I<000007FC0000003FFF800000FFFFC00003FFFFF0000FFFFFF0001FFFFF
6405 F8003FFC07F8007FE003FC00FFC003FC01FF0003FC03FE0003FC03FC0003FC07F80001F8
6406 07F00000F00FF00000000FE00000001FE00000001FC00000003FC00000003F800000003F
6407 800000007F800000007F000400007F01FFF0007F07FFFC00FF1FFFFE00FE3FFFFF80FEFF
6408 FFFFC0FFFFFFFFE0FFFE007FE0FFF8001FF0FFF0000FF8FFE00007FCFFC00003FCFF8000
6409 01FEFF800001FEFF000000FEFF000000FFFF0000007FFF0000007FFF0000007F7F000000
6410 7F7F0000007F7F0000007F7F0000007F7F8000007F3F8000007F3F800000FF3FC00000FE
6411 1FC00000FE1FC00001FE0FE00003FC0FF00007FC07F80007F807FC001FF003FE003FF001
6412 FF80FFE000FFFFFFC0007FFFFF80003FFFFE00001FFFFC000007FFF0000000FF8000283F
6413 7BBD33>I<7C0000000000FFFFFFFFFF80FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FF
6414 FFFFFFFFC0FFFFFFFFFF80FE000000FF00FE000001FE00FE000003FC007C000007F80000
6415 00000FF0000000000FE0000000001FE0000000003FC0000000007F80000000007F000000
6416 0000FF0000000000FE0000000001FC0000000003FC0000000003F80000000007F8000000
6417 0007F0000000000FF0000000000FE0000000001FE0000000001FC0000000003FC0000000
6418 003F80000000003F80000000007F00000000007F0000000000FF0000000000FE00000000
6419 00FE0000000001FE0000000001FC0000000001FC0000000001FC0000000003F800000000
6420 03F80000000003F80000000003F80000000007F80000000007F00000000007F000000000
6421 07F00000000007F00000000007F0000000000FF0000000000FE0000000000FE000000000
6422 0FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000000
6423 0FE0000000000FE00000000007C00000000003800000002A3F7CBD33>I<0000FFC00000
6424 0007FFF80000001FFFFE0000007FFFFF800000FFFFFFC00001FFFFFFE00003FF807FF000
6425 07FE001FF8000FF80007FC000FF00003FC001FE00001FE001FC00000FE003FC00000FF00
6426 3F8000007F003F8000007F003F8000007F003F8000007F003F8000007F003F8000007F00
6427 1FC00000FE001FC00000FE000FE00001FC000FF00003FC0007F80007F80003FE001FF000
6428 01FF807FE00000FFFFFFC000003FFFFF0000000FFFFC0000000FFFFC0000003FFFFF0000
6429 00FFFFFFC00001FF807FE00007FC000FF8000FF80007FC001FE00001FE001FC00000FE00
6430 3F8000007F007F8000007F807F0000003F807F0000003F80FE0000001FC0FE0000001FC0
6431 FE0000001FC0FE0000001FC0FE0000001FC0FE0000001FC0FE0000001FC0FF0000003FC0
6432 7F0000003F807F8000007F803F8000007F003FC00000FF001FE00001FE001FF80007FE00
6433 0FFC000FFC0007FF807FF80003FFFFFFF00001FFFFFFE000007FFFFF8000003FFFFF0000
6434 0007FFF800000000FFC000002A3F7CBD33>I<0001FF8000000FFFE000003FFFF800007F
6435 FFFE0000FFFFFF0003FFFFFF8007FF81FFC007FC007FC00FF8001FE01FF0000FF03FE000
6436 0FF03FC00007F87F800003F87F000003F87F000001FCFF000001FCFE000001FCFE000001
6437 FEFE000000FEFE000000FEFE000000FEFE000000FEFE000000FFFE000000FFFE000000FF
6438 FF000000FF7F000000FF7F800001FF7F800001FF3FC00003FF3FE00007FF1FF0000FFF0F
6439 F8001FFF07FE007FFF07FFFFFFFF03FFFFFF7F01FFFFFC7F007FFFF8FF003FFFE0FE000F
6440 FF80FE00002000FE00000000FE00000001FE00000001FC00000001FC00000003FC000000
6441 03F800000007F800000007F00F00000FF01F80001FE03FC0003FE03FC0003FC03FC000FF
6442 803FC001FF003FC003FE001FF01FFE001FFFFFF8000FFFFFF00007FFFFE00003FFFF8000
6443 00FFFE0000003FF00000283F7BBD33>I<1F003F807FC0FFE0FFE0FFE0FFE0FFE07FC03F
6444 801F00000000000000000000000000000000000000000000000000000000000000000000
6445 0000000000000000001F003F807FC0FFE0FFE0FFE0FFE0FFE07FC03F801F000B2B6CAA33
6446 >I<07C00FE01FF03FF83FF83FF83FF83FF81FF00FE007C0000000000000000000000000
6447 00000000000000000000000000000000000000000000000000000000000007C00FE01FF0
6448 3FF83FF83FFC3FFC3FFC1FFC0FFC07FC00FC00FC01FC01F803F807F00FF01FE07FE0FFC0
6449 FF80FF00FC0070000E396EAA33>I<000000001E000000007E00000000FF00000003FF00
6450 000007FF0000001FFE0000007FFE000000FFF8000003FFF0000007FFC000001FFF800000
6451 3FFE000000FFF8000001FFF0000007FFC000000FFF8000003FFE0000007FFC000001FFF0
6452 000003FFE000000FFF8000001FFF0000007FFC0000007FF8000000FFE0000000FFC00000
6453 00FFE00000007FF80000007FFC0000001FFF0000000FFF80000003FFE0000001FFF00000
6454 007FFC0000003FFE0000000FFF80000007FFC0000001FFF0000000FFF80000003FFE0000
6455 001FFF80000007FFC0000003FFF0000000FFF80000007FFE0000001FFE00000007FF0000
6456 0003FF00000000FF000000007E000000001E28337BB733>I<7FFFFFFFFF807FFFFFFFFF
6457 80FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC07FFFFFFFFF803FFFFFFFFF000000000000
6458 000000000000000000000000000000000000000000000000000000000000000000000000
6459 000000000000000000000000003FFFFFFFFF007FFFFFFFFF80FFFFFFFFFFC0FFFFFFFFFF
6460 C0FFFFFFFFFFC07FFFFFFFFF807FFFFFFFFF802A177CA933>I<78000000007E00000000
6461 FF00000000FFC0000000FFE00000007FF80000007FFE0000001FFF0000000FFFC0000003
6462 FFE0000001FFF80000007FFC0000001FFF0000000FFF80000003FFE0000001FFF0000000
6463 7FFC0000003FFE0000000FFF80000007FFC0000001FFF0000000FFF80000003FFE000000
6464 1FFE00000007FF00000003FF00000007FF0000001FFE0000003FFE000000FFF8000001FF
6465 F0000007FFC000000FFF8000003FFE0000007FFC000001FFF0000003FFE000000FFF8000
6466 001FFF0000007FFC000001FFF8000003FFE000000FFFC000001FFF0000007FFE0000007F
6467 F8000000FFE0000000FFC0000000FF000000007E00000000780000000028337BB733>I<
6468 000007F8000000003FFF00000000FFFF80000003FFFFE000000FFFFFF000001FFFFFF800
6469 003FFC0FF800007FE003FC0000FF8001FC0001FF0000FE0003FC00007E0003F8007E7F00
6470 07F801FFBF0007F007FFFF000FE00FFFFF800FC01FFFFF801FC03FFFFF801F803FC3FF80
6471 3F807F81FF803F007F00FFC03F00FE007FC07F00FC003FC07E01FC003FC07E01F8001FC0
6472 7E01F8001FC0FE01F8001FC0FC03F8001FC0FC03F0000FC0FC03F0000FC0FC03F0000FC0
6473 FC03F0000FC0FC03F0000FC0FC03F0000FC0FC03F0000FC0FC03F0000FC0FC03F0000FC0
6474 FC03F8001FC0FE01F8001F807E01F8001F807E01F8001F807E01FC003F807F00FC003F00
6475 3F00FE007F003F007F00FE003F807F81FE001F803FC3FC001FC03FFFFC000FC01FFFF800
6476 0FE00FFFF00007F007FFE00007F801FF800003F8007E000003FC00000F8001FF00001FC0
6477 00FF80003FC0007FE000FFC0003FFC07FF80001FFFFFFF00000FFFFFFE000003FFFFF800
6478 0000FFFFF00000003FFF8000000007FC00002A3F7CBD33>64 D<00001F80000000003FC0
6479 000000007FE0000000007FE0000000007FE000000000FFF000000000FFF000000000FFF0
6480 00000000F9F000000001F9F800000001F9F800000001F9F800000001F9F800000001F9F8
6481 00000003F9FC00000003F9FC00000003F0FC00000003F0FC00000007F0FE00000007F0FE
6482 00000007F0FE00000007F0FE00000007E07E0000000FE07F0000000FE07F0000000FE07F
6483 0000000FE07F0000001FC03F8000001FC03F8000001FC03F8000001FC03F8000001FC03F
6484 8000003F801FC000003F801FC000003F801FC000003F801FC000007F801FE000007F000F
6485 E000007F000FE000007FFFFFE000007FFFFFE00000FFFFFFF00000FFFFFFF00000FFFFFF
6486 F00000FFFFFFF00001FE0007F80001FC0003F80001FC0003F80001FC0003F80001FC0003
6487 F80003FC0003FC0003F80001FC0003F80001FC0003F80001FC0007F80001FE0007F00000
6488 FE007FFF000FFFE0FFFF801FFFF0FFFFC03FFFF0FFFFC03FFFF0FFFF801FFFF07FFF000F
6489 FFE02C3E7DBD33>I<7FFFFFF80000FFFFFFFF0000FFFFFFFFC000FFFFFFFFE000FFFFFF
6490 FFF0007FFFFFFFF80003F8000FFC0003F80003FE0003F80001FE0003F80000FF0003F800
6491 007F0003F800007F0003F800003F8003F800003F8003F800003F8003F800003F8003F800
6492 003F8003F800003F8003F800003F8003F800007F0003F800007F0003F80000FF0003F800
6493 01FE0003F80001FE0003F80007FC0003F8001FF80003FFFFFFF00003FFFFFFE00003FFFF
6494 FF800003FFFFFFC00003FFFFFFE00003FFFFFFF80003F8000FFC0003F80001FE0003F800
6495 00FF0003F800007F8003F800003F8003F800003FC003F800001FC003F800001FC003F800
6496 000FE003F800000FE003F800000FE003F800000FE003F800000FE003F800000FE003F800
6497 000FE003F800001FE003F800001FC003F800001FC003F800003FC003F800007F8003F800
6498 00FF8003F80001FF0003F8000FFF007FFFFFFFFE00FFFFFFFFFC00FFFFFFFFF800FFFFFF
6499 FFE000FFFFFFFFC0007FFFFFFE00002B3D7DBC33>I<00001FE007800000FFFC07C00003
6500 FFFF0FC0000FFFFF8FC0001FFFFFFFC0003FFFFFFFC0007FF81FFFC000FFC007FFC001FF
6501 8003FFC003FE0001FFC003FC0000FFC007F80000FFC007F800007FC00FF000007FC00FE0
6502 00003FC01FE000003FC01FC000003FC03FC000001FC03F8000001FC03F8000001FC07F80
6503 00001FC07F0000000F807F00000000007F0000000000FF0000000000FE0000000000FE00
6504 00000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00
6505 00000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FF00
6506 000000007F00000000007F00000000007F00000000007F8000000F803F8000001FC03F80
6507 00001FC03FC000001FC01FC000001FC01FE000001FC00FE000003FC00FF000003F8007F8
6508 00003F8007F800007F8003FC0000FF0003FE0000FF0001FF8003FE0000FFC007FC00007F
6509 F81FF800003FFFFFF000001FFFFFE000000FFFFFC0000003FFFF00000000FFFC00000000
6510 1FE000002A3F7CBD33>I<3FFFFFF000007FFFFFFC0000FFFFFFFF0000FFFFFFFF80007F
6511 FFFFFFC0003FFFFFFFE00003F8007FF00003F8001FF80003F80007FC0003F80003FC0003
6512 F80001FE0003F80001FF0003F80000FF0003F800007F8003F800007F8003F800003F8003
6513 F800003FC003F800001FC003F800001FC003F800001FE003F800000FE003F800000FE003
6514 F800000FE003F800000FE003F8000007F003F8000007F003F8000007F003F8000007F003
6515 F8000007F003F8000007F003F8000007F003F8000007F003F8000007F003F8000007F003
6516 F8000007F003F8000007F003F8000007F003F800000FF003F800000FE003F800000FE003
6517 F800000FE003F800000FE003F800001FE003F800001FC003F800003FC003F800003FC003
6518 F800003F8003F800007F8003F80000FF0003F80000FF0003F80001FE0003F80003FE0003
6519 F80007FC0003F8001FF80003F8007FF0003FFFFFFFF0007FFFFFFFC000FFFFFFFF8000FF
6520 FFFFFF00007FFFFFFC00003FFFFFF000002C3D7EBC33>I<3FFFFFFFFFE07FFFFFFFFFF0
6521 FFFFFFFFFFF0FFFFFFFFFFF07FFFFFFFFFF03FFFFFFFFFF001FC000007F001FC000007F0
6522 01FC000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC000007F0
6523 01FC000003E001FC0000000001FC0000000001FC0000000001FC0000000001FC00000000
6524 01FC0000000001FC001F000001FC003F800001FC003F800001FC003F800001FC003F8000
6525 01FFFFFF800001FFFFFF800001FFFFFF800001FFFFFF800001FFFFFF800001FFFFFF8000
6526 01FC003F800001FC003F800001FC003F800001FC003F800001FC001F000001FC00000000
6527 01FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000000
6528 01FC0000000001FC000000F801FC000001FC01FC000001FC01FC000001FC01FC000001FC
6529 01FC000001FC01FC000001FC01FC000001FC01FC000001FC01FC000001FC3FFFFFFFFFFC
6530 7FFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFC7FFFFFFFFFFC3FFFFFFFFFF82E3D7EBC33>
6531 I<3FFFFFFFFFE07FFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF07FFFFFFFFFF03FFFFFFFFF
6532 F001FC000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC000007
6533 F001FC000007F001FC000007F001FC000003E001FC0000000001FC0000000001FC000000
6534 0001FC0000000001FC0000000001FC0000000001FC0000000001FC001F000001FC003F80
6535 0001FC003F800001FC003F800001FC003F800001FFFFFF800001FFFFFF800001FFFFFF80
6536 0001FFFFFF800001FFFFFF800001FFFFFF800001FC003F800001FC003F800001FC003F80
6537 0001FC003F800001FC001F000001FC0000000001FC0000000001FC0000000001FC000000
6538 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
6539 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000
6540 0001FC000000003FFFF80000007FFFFC000000FFFFFE000000FFFFFE0000007FFFFC0000
6541 003FFFF80000002C3D7DBC33>I<00007F803C000001FFF03E000007FFFC7E00001FFFFE
6542 7E00003FFFFFFE00007FFFFFFE0000FFE07FFE0001FF803FFE0001FF000FFE0003FC000F
6543 FE0007FC0007FE0007F80003FE000FF00003FE000FE00001FE001FE00001FE001FC00001
6544 FE003FC00001FE003F800000FE003F800000FE007F800000FE007F000000FE007F000000
6545 7C007F00000000007F0000000000FF0000000000FE0000000000FE0000000000FE000000
6546 0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000
6547 0000FE00007FFFC0FE0000FFFFE0FE0000FFFFE0FE0000FFFFE0FF0000FFFFE07F00007F
6548 FFC07F000000FE007F000000FE007F000000FE007F800001FE003F800001FE003F800001
6549 FE003FC00001FE001FC00001FE001FE00003FE000FE00003FE000FF00003FE0007F80007
6550 FE0007F80007FE0003FC000FFE0001FE001FFE0001FF803FFE0000FFE0FFFE00007FFFFF
6551 FE00003FFFFFFE00001FFFFEFE000007FFF8FE000001FFF07C0000007F8000002B3F7CBD
6552 33>I<7FFFC00FFFF8FFFFE01FFFFCFFFFE01FFFFCFFFFE01FFFFCFFFFE01FFFFC7FFFC0
6553 0FFFF803F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6554 007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6555 007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6556 007F0003F800007F0003F800007F0003FFFFFFFF0003FFFFFFFF0003FFFFFFFF0003FFFF
6557 FFFF0003FFFFFFFF0003FFFFFFFF0003F800007F0003F800007F0003F800007F0003F800
6558 007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6559 007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6560 007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800007F0003F800
6561 007F0003F800007F007FFFC00FFFF8FFFFE01FFFFCFFFFE01FFFFCFFFFE01FFFFCFFFFE0
6562 1FFFFC7FFFC00FFFF82E3D7EBC33>I<3FFFFFFF807FFFFFFFC0FFFFFFFFE0FFFFFFFFE0
6563 7FFFFFFFC03FFFFFFF800003F800000003F800000003F800000003F800000003F8000000
6564 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
6565 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8
6566 00000003F800000003F800000003F800000003F800000003F800000003F800000003F800
6567 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
6568 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
6569 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
6570 F800003FFFFFFF807FFFFFFFC0FFFFFFFFE0FFFFFFFFE07FFFFFFFC03FFFFFFF80233D78
6571 BC33>I<0001FFFFF80003FFFFFC0003FFFFFE0003FFFFFE0003FFFFFC0001FFFFF80000
6572 007F000000007F000000007F000000007F000000007F000000007F000000007F00000000
6573 7F000000007F000000007F000000007F000000007F000000007F000000007F000000007F
6574 000000007F000000007F000000007F000000007F000000007F000000007F000000007F00
6575 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000
6576 00007F000000007F000000007F000000007F000000007F000000007F000000007F000000
6577 007F000000007F000000007F000000007F000000007F003C00007F007E00007F00FF0000
6578 7F00FF00007F00FF0000FF00FF0000FE00FF0001FE007F8007FC007FF01FF8003FFFFFF8
6579 001FFFFFF0000FFFFFC00003FFFF800000FFFE0000001FF00000273E79BC33>I<3FFF00
6580 07FFE07FFF800FFFF0FFFFC00FFFF8FFFFC00FFFF87FFF800FFFF03FFF0007FFE003F000
6581 00FE0003F00001FC0003F00003F80003F00007F80003F00007F00003F0000FE00003F000
6582 1FC00003F0003FC00003F0007F800003F0007F000003F000FE000003F001FC000003F003
6583 FC000003F003F8000003F007F0000003F00FE0000003F01FE0000003F01FC0000003F03F
6584 80000003F07F80000003F0FF80000003F1FFC0000003F1FFC0000003F3FFE0000003F7F7
6585 E0000003FFF7F0000003FFE3F0000003FFC3F8000003FF81FC000003FF81FC000003FF00
6586 FE000003FE00FE000003FC007F000003FC003F000003F8003F800003F0001F800003F000
6587 1FC00003F0000FC00003F0000FE00003F00007F00003F00007F00003F00003F80003F000
6588 03F80003F00001FC0003F00000FC0003F00000FE0003F000007E0003F000007F0003F000
6589 003F003FFF0000FFF07FFF8001FFF8FFFFC003FFFCFFFFC003FFFC7FFF8001FFF83FFF00
6590 00FFF02E3D7EBC33>I<7FFFF8000000FFFFFC000000FFFFFE000000FFFFFE000000FFFF
6591 FC0000007FFFF800000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6592 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6593 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6594 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6595 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6596 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
6597 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000003E001FC
6598 000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC
6599 000007F001FC000007F001FC000007F07FFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFF
6600 FFFFFFF0FFFFFFFFFFF07FFFFFFFFFE02C3D7DBC33>I<3FF800001FFC7FFC00003FFEFF
6601 FE00007FFFFFFE00007FFF7FFE00007FFE3FFF0000FFFC07FF0000FFE007EF0000F7E007
6602 EF8001F7E007EF8001F7E007EF8001F7E007E7C003E7E007E7C003E7E007E7C003E7E007
6603 E7E007E7E007E7E007E7E007E3E007C7E007E3E007C7E007E3F00FC7E007E3F00FC7E007
6604 E1F00F87E007E1F81F87E007E1F81F87E007E0F81F07E007E0F81F07E007E0FC3F07E007
6605 E0FC3F07E007E07C3E07E007E07C7E07E007E07E7E07E007E03E7C07E007E03E7C07E007
6606 E03E7C07E007E01E7807E007E01FF807E007E01FF807E007E00FF007E007E00FF007E007
6607 E00FF007E007E007E007E007E003C007E007E0000007E007E0000007E007E0000007E007
6608 E0000007E007E0000007E007E0000007E007E0000007E007E0000007E007E0000007E007
6609 E0000007E007E0000007E007E0000007E007E0000007E007E0000007E03FFC00003FFC7F
6610 FE00007FFEFFFF0000FFFFFFFF0000FFFF7FFE00007FFE3FFC00003FFC303D7FBC33>I<
6611 7FFC001FFFE0FFFE003FFFF0FFFF003FFFF0FFFF003FFFF0FFFF003FFFF07FFF801FFFE0
6612 03FF8000FC0003F78000FC0003F7C000FC0003F7C000FC0003F3C000FC0003F3E000FC00
6613 03F3E000FC0003F3E000FC0003F1F000FC0003F1F000FC0003F1F000FC0003F1F800FC00
6614 03F0F800FC0003F0F800FC0003F0FC00FC0003F0FC00FC0003F07C00FC0003F07E00FC00
6615 03F07E00FC0003F03E00FC0003F03F00FC0003F03F00FC0003F01F00FC0003F01F80FC00
6616 03F01F80FC0003F01F80FC0003F00F80FC0003F00FC0FC0003F00FC0FC0003F007C0FC00
6617 03F007E0FC0003F007E0FC0003F003E0FC0003F003F0FC0003F003F0FC0003F001F0FC00
6618 03F001F0FC0003F001F8FC0003F000F8FC0003F000F8FC0003F000F8FC0003F0007CFC00
6619 03F0007CFC0003F0007CFC0003F0003CFC0003F0003EFC0003F0003EFC0003F0001EFC00
6620 03F0001FFC007FFF801FFC00FFFFC00FFC00FFFFC00FFC00FFFFC00FFC00FFFFC007FC00
6621 7FFF8003F8002C3D7DBC33>I<001FFFF80000FFFFFF0003FFFFFFC00FFFFFFFF00FFFFF
6622 FFF01FFFFFFFF83FFC003FFC3FE00007FC3FC00003FC7F800001FE7F800001FE7F000000
6623 FE7F000000FE7F000000FE7F000000FE7F000000FEFE0000007FFE0000007FFE0000007F
6624 FE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE
6625 0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE00
6626 00007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000
6627 007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFF000000FF7F000000
6628 FE7F000000FE7F000000FE7F000000FE7F800001FE7F800001FE7F800001FE3FC00003FC
6629 3FF0000FFC3FFC003FFC1FFFFFFFF80FFFFFFFF00FFFFFFFF003FFFFFFC000FFFFFF0000
6630 1FFFF800283F7BBD33>I<3FFFFFFC00007FFFFFFF8000FFFFFFFFE000FFFFFFFFF8007F
6631 FFFFFFFC003FFFFFFFFE0001FC000FFF0001FC0003FF8001FC0000FF8001FC00007FC001
6632 FC00003FC001FC00001FE001FC00000FE001FC00000FE001FC00000FF001FC000007F001
6633 FC000007F001FC000007F001FC000007F001FC000007F001FC000007F001FC00000FF001
6634 FC00000FE001FC00000FE001FC00001FE001FC00003FC001FC00007FC001FC0000FF8001
6635 FC0003FF8001FC000FFF0001FFFFFFFE0001FFFFFFFC0001FFFFFFF80001FFFFFFE00001
6636 FFFFFF800001FFFFFC000001FC0000000001FC0000000001FC0000000001FC0000000001
6637 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001
6638 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001
6639 FC0000000001FC0000000001FC000000003FFFE00000007FFFF0000000FFFFF8000000FF
6640 FFF80000007FFFF00000003FFFE00000002C3D7EBC33>I<001FFFF80000FFFFFF0003FF
6641 FFFFC00FFFFFFFF00FFFFFFFF01FFFFFFFF83FFC003FFC3FF0000FFC3FC00003FC7F8000
6642 01FE7F800001FE7F000000FE7F000000FE7F000000FE7F000000FE7F000000FEFF000000
6643 FFFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007F
6644 FE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE
6645 0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE00
6646 00007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFE003F
6647 007FFF007F80FF7F007F80FE7F003FC0FE7F003FC0FE7F001FE0FE7F001FE0FE7F800FF1
6648 FE7F800FF1FE3FC007FBFC3FF007FFFC3FFC03FFFC1FFFFFFFF80FFFFFFFF00FFFFFFFF0
6649 03FFFFFFC000FFFFFF00001FFFFF800000007FC00000003FC00000003FE00000001FE000
6650 00001FF00000000FF00000000FF800000007F800000007FC00000003FC00000003FE0000
6651 0001FE00000000FC284C7BBD33>I<7FFFFF800000FFFFFFF80000FFFFFFFE0000FFFFFF
6652 FF0000FFFFFFFF80007FFFFFFFC00003F800FFE00003F8003FF00003F8000FF80003F800
6653 07F80003F80003FC0003F80001FC0003F80001FC0003F80000FE0003F80000FE0003F800
6654 00FE0003F80000FE0003F80000FE0003F80000FE0003F80000FE0003F80001FC0003F800
6655 01FC0003F80003FC0003F80007F80003F8000FF80003F8003FF00003F800FFE00003FFFF
6656 FFC00003FFFFFF800003FFFFFF000003FFFFFE000003FFFFFF000003FFFFFF800003F800
6657 FFC00003F8003FC00003F8001FE00003F8000FE00003F8000FF00003F80007F00003F800
6658 07F00003F80007F00003F80007F00003F80007F00003F80007F00003F80007F00003F800
6659 07F00003F80007F00003F80007F00003F80007F03E03F80007F07F03F80007F07F03F800
6660 07F07F03F80007F07F03F80007F87F03F80003F8FF7FFFC003F8FEFFFFE001FFFEFFFFE0
6661 01FFFCFFFFE000FFFCFFFFE0007FF87FFFC0003FF0000000000FC0303E7EBC33>I<0007
6662 FE0078003FFFC07C00FFFFF0FC01FFFFFCFC07FFFFFFFC0FFFFFFFFC0FFC03FFFC1FF000
6663 7FFC3FE0003FFC3F80001FFC7F80000FFC7F000007FCFF000003FCFE000003FCFE000003
6664 FCFE000001FCFE000001FCFE000001FCFE000001FCFF000000F87F000000007F80000000
6665 7FC00000003FE00000003FF00000001FFE0000000FFFE0000007FFFF000003FFFFF00001
6666 FFFFFC00007FFFFF00001FFFFF800003FFFFC000003FFFE0000003FFF00000003FF80000
6667 000FFC00000007FC00000003FE00000001FE00000000FE00000000FF00000000FF7C0000
6668 007FFE0000007FFE0000007FFE0000007FFE0000007FFE0000007FFF000000FFFF000000
6669 FEFF800000FEFF800001FCFFC00003FCFFF00007F8FFFC000FF8FFFF807FF0FFFFFFFFE0
6670 FFFFFFFFC0FCFFFFFF80FC3FFFFE00F80FFFFC007800FFE000283F7BBD33>I<3FFFFFFF
6671 FFF87FFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFCFFFFFFFFFFFCFE000FE0
6672 01FCFE000FE001FCFE000FE001FCFE000FE001FCFE000FE001FCFE000FE001FCFE000FE0
6673 01FCFE000FE001FC7C000FE000F800000FE0000000000FE0000000000FE0000000000FE0
6674 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6675 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6676 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6677 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6678 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6679 000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0
6680 00000007FFFFC000000FFFFFE000001FFFFFF000001FFFFFF000000FFFFFE0000007FFFF
6681 C0002E3D7EBC33>I<3FFFE001FFFF007FFFF003FFFF80FFFFF807FFFFC0FFFFF807FFFF
6682 C07FFFF003FFFF803FFFE001FFFF0001FC00000FE00001FC00000FE00001FC00000FE000
6683 01FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001
6684 FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC
6685 00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00
6686 000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC0000
6687 0FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000F
6688 E00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE0
6689 0001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE00001FC00000FE000
6690 01FE00001FE00000FE00001FC00000FE00001FC00000FF00003FC000007F00003F800000
6691 7F00003F8000003F80007F0000003FC000FF0000001FE001FE0000001FF003FE0000000F
6692 FC0FFC00000007FFFFF800000003FFFFF000000001FFFFE0000000007FFF80000000001F
6693 FE000000000007F8000000323E80BC33>I<7FFF0003FFF8FFFF8007FFFCFFFF8007FFFC
6694 FFFF8007FFFCFFFF8007FFFC7FFF0003FFF807F000003F8007F800007F8003F800007F00
6695 03F800007F0003F800007F0003FC0000FF0001FC0000FE0001FC0000FE0001FC0000FE00
6696 01FC0000FE0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FF0003FC00
6697 007F0003F800007F0003F800007F0003F800007F8007F800003F8007F000003F8007F000
6698 003F8007F000003FC00FF000001FC00FE000001FC00FE000001FC00FE000001FC00FE000
6699 000FE01FC000000FE01FC000000FE01FC000000FE01FC0000007F03F80000007F03F8000
6700 0007F03F80000007F03F80000003F03F00000003F87F00000003F87F00000003F87F0000
6701 0001F87E00000001F87E00000001FCFE00000001FCFE00000000FCFC00000000FCFC0000
6702 0000FCFC00000000FCFC00000000FCFC000000007FF8000000007FF8000000007FF80000
6703 00007FF8000000003FF0000000003FF0000000001FE0000000000FC000002E3E7EBC33>
6704 I<3FFC00003FFC7FFE00007FFEFFFF0000FFFFFFFF0000FFFF7FFE00007FFE3FFC00003F
6705 FC0FC0000003F00FC0000003F00FC0000003F00FC0000003F00FC0000003F00FC0000003
6706 F00FC0000003F00FE0000007F007E0000007E007E0000007E007E0000007E007E0000007
6707 E007E0000007E007E0000007E007E0000007E007E0000007E003F000000FC003F000000F
6708 C003F007E00FC003F00FF00FC003F01FF80FC003F01FF80FC003F01FF80FC001F01FF80F
6709 8001F83FFC1F8001F83E7C1F8001F83E7C1F8001F83E7C1F8001F83E7C1F8001F87E7E1F
6710 8001F87E7E1F8000F87E7E1F0000F87E7E1F0000F87C3E1F0000FC7C3E3F0000FCFC3F3F
6711 0000FCFC3F3F0000FCFC3F3F0000FCF81F3F00007CF81F3E00007CF81F3E00007CF81F3E
6712 00007CF81F3E00007CF81F3E00007DF00FBE00007DF00FBE00007DF00FBE00003DF00FBC
6713 00003FE007FC00003FE007FC00003FE007FC00003FE007FC00003FE007FC00003FC003FC
6714 00001FC003F800000F8001F000303E7FBC33>I<3FFF807FFF007FFFC0FFFF807FFFC0FF
6715 FF807FFFC0FFFF807FFFC0FFFF803FFF807FFF0001FE000FE00001FE001FE00000FF001F
6716 E00000FF003FC000007F803FC000007F803F8000003FC07F8000003FC07F0000001FE0FF
6717 0000001FE0FE0000000FF1FE0000000FF1FC00000007FBFC00000007FBF800000003FFF8
6718 00000003FFF000000001FFF000000001FFE000000000FFE000000000FFC0000000007FC0
6719 000000003F80000000003F80000000003F80000000007FC0000000007FC000000000FFE0
6720 00000000FFF000000001FFF000000001FFF800000003FBF800000003FBFC00000007F1FC
6721 00000007F1FE0000000FE0FE0000000FE0FF0000001FE07F0000001FC07F8000003FC03F
6722 8000003F803FC000007F801FC000007F001FE00000FF000FE00000FE000FF00000FE0007
6723 F00001FE0007F80001FC0003F80003FC0003FC0003F80001FC007FFF000FFFE0FFFF801F
6724 FFF0FFFF803FFFF0FFFF803FFFF0FFFF801FFFF07FFF000FFFE02C3D7DBC33>I<7FFF00
6725 03FFF8FFFF8007FFFCFFFFC00FFFFCFFFFC00FFFFCFFFF8007FFFC7FFF0003FFF803FC00
6726 007F0003FC0000FF0001FC0000FE0001FE0001FE0000FE0001FE0000FF0003FC00007F00
6727 03FC00007F8003F800003F8007F800003FC007F000001FC00FF000001FE00FE000001FE0
6728 0FE000000FE01FE000000FF01FC0000007F03FC0000007F83F80000003F83F80000003F8
6729 7F00000001FC7F00000001FC7E00000000FCFE00000000FEFE000000007EFC000000007F
6730 FC000000003FF8000000003FF8000000001FF0000000001FF0000000001FE0000000000F
6731 E0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000F
6732 E0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000F
6733 E0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000F
6734 E000000001FFFF00000003FFFF80000003FFFF80000003FFFF80000003FFFF80000001FF
6735 FF00002E3D7EBC33>I<1FFFFFFFFE003FFFFFFFFF007FFFFFFFFF007FFFFFFFFF007FFF
6736 FFFFFF007FFFFFFFFF007F000001FE007F000003FC007F000003FC007F000007F8007F00
6737 0007F0007F00000FF0007F00001FE0007F00001FE0003E00003FC0000000007F80000000
6738 007F8000000000FF0000000000FE0000000001FE0000000003FC0000000003FC00000000
6739 07F8000000000FF0000000000FF0000000001FE0000000001FC0000000003FC000000000
6740 7F80000000007F8000000000FF0000000001FE0000000001FE0000000003FC0000000003
6741 F80000000007F8000000000FF0000000000FF0000000001FE0000000003FC0000000003F
6742 C0000000007F80000000007F0000000000FF0000000001FE00001F0001FE00003F8003FC
6743 00003F8007F800003F8007F800003F800FF000003F800FE000003F801FE000003F803FC0
6744 00003F803FC000003F807F8000003F807FFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF80FFFF
6745 FFFFFF80FFFFFFFFFF807FFFFFFFFF00293D7BBC33>I<7C000000007C00000000FE0000
6746 0000FE00000000FF00000000FF000000007F800000007F800000003FC00000003FC00000
6747 001FE00000001FE00000000FE00000000FF00000000FF000000007F800000007F8000000
6748 03FC00000003FC00000001FE00000001FE00000000FE00000000FF00000000FF00000000
6749 7F800000007F800000003FC00000003FC00000001FE00000001FE00000000FE00000000F
6750 F00000000FF000000007F800000007F800000003FC00000003FC00000001FC00000001FE
6751 00000001FE00000000FF00000000FF000000007F800000007F800000003FC00000003FC0
6752 0000001FC00000001FE00000001FE00000000FF00000000FF000000007F800000007F800
6753 000003FC00000003FC00000001FC00000001FE00000001FE00000000FF00000000FF0000
6754 00007F800000007F800000003FC00000003FC00000001FC00000001FE00000001FE00000
6755 000FF00000000FF000000007F800000007F800000003FC00000003FC00000001FC000000
6756 01FC00000000F80000000078264D7AC433>92 D<7FFFFFFFFE7FFFFFFFFEFFFFFFFFFFFF
6757 FFFFFFFFFFFFFFFFFF7FFFFFFFFE7FFFFFFFFE28077B7D33>95 D<001FFC00000000FFFF
6758 80000003FFFFE0000007FFFFF000000FFFFFFC00001FFFFFFE00001FF007FF00001FE001
6759 FF00001FE000FF80001FE0003F80000FC0003FC0000780001FC0000000001FE000000000
6760 0FE0000000000FE0000000000FE0000000000FE0000000000FE00000000FFFE0000001FF
6761 FFE000001FFFFFE000007FFFFFE00001FFFFFFE00007FFFF0FE0000FFFC00FE0001FFC00
6762 0FE0003FF0000FE0007FC0000FE0007F80000FE000FF00000FE000FE00000FE000FE0000
6763 0FE000FE00000FE000FE00000FE000FE00000FE000FF00001FE0007F00001FE0007F8000
6764 7FE0003FE000FFF0003FF807FFFFF01FFFFFFFFFF80FFFFFFFFFF807FFFFF3FFF803FFFF
6765 C1FFF800FFFF003FF0001FF00000002D2E7BAC33>97 D<3FFC000000007FFE00000000FF
6766 FE00000000FFFE000000007FFE000000003FFE0000000000FE0000000000FE0000000000
6767 FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000
6768 FE0000000000FE0000000000FE0000000000FE01FE000000FE0FFFC00000FE1FFFF00000
6769 FE7FFFF80000FEFFFFFE0000FFFFFFFF0000FFFE07FF0000FFF800FF8000FFE0007FC000
6770 FFC0003FE000FF80001FE000FF80000FF000FF00000FF000FF000007F000FE000007F800
6771 FE000003F800FE000003F800FE000003FC00FE000001FC00FE000001FC00FE000001FC00
6772 FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00
6773 FE000003FC00FE000003F800FE000003F800FF000007F800FF000007F000FF80000FF000
6774 FF80000FE000FFC0001FE000FFC0003FC000FFE0007FC000FFF801FF8000FFFE07FF0000
6775 FFFFFFFE0000FEFFFFFC0000FE7FFFF800007E3FFFE000003C0FFF8000000003FE00002E
6776 3E7FBC33>I<0000FFF0000007FFFE00001FFFFF80003FFFFFC0007FFFFFE001FFFFFFF0
6777 03FFC01FF003FE000FF007FC000FF00FF8000FF01FF00007E01FE00003C03FC00000003F
6778 800000003F800000007F800000007F000000007F00000000FF00000000FE00000000FE00
6779 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
6780 0000FF000000007F000000007F000000007F800000003F800001F03FC00003F81FE00003
6781 F81FF00007F80FF80007F007FC000FF007FF001FE003FFE07FE001FFFFFFC000FFFFFF80
6782 003FFFFF00001FFFFC000007FFF8000000FFC000252E79AC33>I<0000007FF800000000
6783 FFFC00000001FFFC00000001FFFC00000000FFFC000000007FFC0000000001FC00000000
6784 01FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000000
6785 01FC0000000001FC0000000001FC0000000001FC000001FF01FC000007FFC1FC00001FFF
6786 F1FC00007FFFF9FC0000FFFFFFFC0001FFFFFFFC0003FF81FFFC0007FE003FFC000FF800
6787 1FFC000FF0000FFC001FE00007FC001FC00003FC003FC00003FC003F800001FC007F8000
6788 01FC007F000001FC007F000001FC00FF000001FC00FE000001FC00FE000001FC00FE0000
6789 01FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE0000
6790 01FC00FF000001FC007F000001FC007F000003FC007F800003FC003F800003FC003FC000
6791 07FC003FC00007FC001FE0000FFC001FF0001FFC000FF8003FFC0007FC007FFC0003FF81
6792 FFFFF003FFFFFFFFF800FFFFFDFFFC007FFFF9FFFC003FFFE1FFF8000FFF80FFF00001FE
6793 0000002E3E7DBC33>I<0000FF80000007FFF000001FFFFC00003FFFFE0000FFFFFF0001
6794 FFFFFF8003FF80FFC007FE003FE007F8000FF00FF00007F01FE00007F81FC00003F83FC0
6795 0003FC3F800001FC7F800001FC7F000001FC7F000001FE7F000000FEFF000000FEFE0000
6796 00FEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFCFE000000
6797 00FF000000007F000000007F000000007F000000003F800000003F8000007C1FC00000FE
6798 1FE00000FE0FF00000FE0FF80001FE07FC0003FC03FF000FFC01FFC03FF800FFFFFFF000
6799 7FFFFFE0003FFFFFC0000FFFFF000003FFFC0000007FE000272E7BAC33>I<0000003FE0
6800 000001FFFC000007FFFE00001FFFFE00003FFFFF00007FFFFF0000FFC0FF0000FF00FF00
6801 01FE007E0001FC003C0003FC00000003F800000003F800000003F800000003F800000003
6802 F800000003F800000003F800000003F800003FFFFFFFF87FFFFFFFFCFFFFFFFFFCFFFFFF
6803 FFFCFFFFFFFFFC7FFFFFFFF80003F800000003F800000003F800000003F800000003F800
6804 000003F800000003F800000003F800000003F800000003F800000003F800000003F80000
6805 0003F800000003F800000003F800000003F800000003F800000003F800000003F8000000
6806 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003
6807 F800000003F800000003F800000003F800000003F800003FFFFFFF807FFFFFFFC07FFFFF
6808 FFC07FFFFFFFC07FFFFFFFC03FFFFFFF80283E7DBD33>I<0001FE001FE0000FFFC0FFF0
6809 003FFFF3FFF8007FFFFFFFFC00FFFFFFFFFC01FFFFFFFFFC03FF03FFE1FC07FC00FF80F8
6810 07F8007F80600FF0003FC0000FE0001FC0000FE0001FC0001FE0001FE0001FC0000FE000
6811 1FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FE0001FE000
6812 0FE0001FC0000FE0001FC0000FF0003FC00007F8007F800007FC00FF800003FF03FF0000
6813 03FFFFFE000007FFFFFC000007FFFFF8000007FFFFF000000FCFFFC000000F81FE000000
6814 0F80000000000F80000000000FC0000000000FC00000000007E00000000007F000000000
6815 07FFFFFC000003FFFFFFC00001FFFFFFF00007FFFFFFFC000FFFFFFFFF001FFFFFFFFF80
6816 1FE00007FF803FC000007FC03F0000001FE07F0000000FE07E00000007E0FE00000007F0
6817 FC00000003F0FC00000003F0FC00000003F0FC00000003F0FC00000003F0FE00000007F0
6818 7E00000007E07F0000000FE03F8000001FC03FE000007FC01FF80001FF800FFF801FFF00
6819 07FFFFFFFE0003FFFFFFFC0000FFFFFFF000003FFFFFC000000FFFFF00000000FFF00000
6820 2E447DAB33>I<3FFC000000007FFE00000000FFFE00000000FFFE000000007FFE000000
6821 003FFE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000
6822 0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000
6823 0000FE01FF000000FE07FFC00000FE1FFFF00000FE7FFFF80000FEFFFFF80000FFFFFFFC
6824 0000FFFF07FE0000FFF801FE0000FFF000FE0000FFE000FF0000FFC0007F0000FF80007F
6825 0000FF80007F0000FF00007F0000FF00007F0000FF00007F0000FE00007F0000FE00007F
6826 0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F
6827 0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F
6828 0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F
6829 0000FE00007F0000FE00007F003FFFF80FFFFC7FFFFC1FFFFEFFFFFE3FFFFFFFFFFE3FFF
6830 FF7FFFFC1FFFFE3FFFF80FFFFC303D7FBC33>I<0000E000000003F800000003F8000000
6831 07FC00000007FC00000007FC00000003F800000003F800000000E0000000000000000000
6832 000000000000000000000000000000000000000000000000000000000000000000000000
6833 000000000000003FFFF800007FFFFC00007FFFFC00007FFFFC00007FFFFC00003FFFFC00
6834 000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC0000
6835 0001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC000000
6836 01FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001
6837 FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC00000001FC
6838 00000001FC00000001FC00007FFFFFFFC0FFFFFFFFE0FFFFFFFFF0FFFFFFFFF0FFFFFFFF
6839 E07FFFFFFFC0243E78BD33>I<00000070000001FC000001FC000003FE000003FE000003
6840 FE000001FC000001FC000000700000000000000000000000000000000000000000000000
6841 0000000000000000000000000000000000003FFFFC007FFFFE00FFFFFE00FFFFFE007FFF
6842 FE003FFFFE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
6843 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
6844 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
6845 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
6846 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000
6847 FE000000FE000001FE000001FC000001FC180001FC7E0003F87E0007F8FF0007F0FF000F
6848 F0FF803FE0FFFFFFC07FFFFF803FFFFF001FFFFE000FFFF80001FFE0001F557BBD33>I<
6849 7FF800000000FFFC00000000FFFC00000000FFFC00000000FFFC000000007FFC00000000
6850 00FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC00000000
6851 00FC0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC00000000
6852 00FC01FFFFC000FC03FFFFE000FC07FFFFF000FC07FFFFF000FC03FFFFE000FC01FFFFC0
6853 00FC000FF00000FC001FE00000FC003FC00000FC007F800000FC00FF000000FC01FE0000
6854 00FC03FC000000FC07F8000000FC0FF0000000FC1FE0000000FC3FC0000000FC7F800000
6855 00FCFFC0000000FDFFE0000000FFFFE0000000FFFFF0000000FFF3F8000000FFE3FC0000
6856 00FFC1FC000000FF80FE000000FF007F000000FE007F000000FC003F800000FC001FC000
6857 00FC001FE00000FC000FE00000FC0007F00000FC0003F80000FC0003FC0000FC0001FC00
6858 00FC0000FE007FFFF80FFFF0FFFFFC1FFFF8FFFFFC1FFFFCFFFFFC1FFFFCFFFFFC1FFFF8
6859 7FFFF80FFFF02E3D7EBC33>I<3FFFFC00007FFFFE0000FFFFFE0000FFFFFE00007FFFFE
6860 00003FFFFE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
6861 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
6862 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
6863 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
6864 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
6865 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
6866 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
6867 3FFFFFFFF87FFFFFFFFCFFFFFFFFFEFFFFFFFFFE7FFFFFFFFC3FFFFFFFF8273D7ABC33>
6868 I<0000FC007E00007FC3FF01FF8000FFEFFF87FFC000FFFFFFCFFFE000FFFFFFDFFFE000
6869 FFFFFFFFFFF0007FFF0FFF87F00007FE07FF03F00007FC07FE03F80007F803FC01F80007
6870 F803FC01F80007F003F801F80007F003F801F80007F003F801F80007F003F801F80007E0
6871 03F001F80007E003F001F80007E003F001F80007E003F001F80007E003F001F80007E003
6872 F001F80007E003F001F80007E003F001F80007E003F001F80007E003F001F80007E003F0
6873 01F80007E003F001F80007E003F001F80007E003F001F80007E003F001F80007E003F001
6874 F80007E003F001F80007E003F001F80007E003F001F80007E003F001F80007E003F001F8
6875 0007E003F001F80007E003F001F8007FFE0FFF07FF80FFFF1FFF8FFFC0FFFF1FFF8FFFC0
6876 FFFF1FFF8FFFC0FFFF1FFF8FFFC07FFE0FFF07FF80322C80AB33>I<000001FF00003FFC
6877 07FFC0007FFE1FFFF000FFFE7FFFF800FFFEFFFFF8007FFFFFFFFC003FFFFF07FE0000FF
6878 F801FE0000FFF000FE0000FFE000FF0000FFC0007F0000FF80007F0000FF80007F0000FF
6879 00007F0000FF00007F0000FF00007F0000FE00007F0000FE00007F0000FE00007F0000FE
6880 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE
6881 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE
6882 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE
6883 00007F003FFFF80FFFFC7FFFFC1FFFFEFFFFFE3FFFFFFFFFFE3FFFFF7FFFFC1FFFFE3FFF
6884 F80FFFFC302C7FAB33>I<0001FE0000000FFFC000003FFFF000007FFFF80000FFFFFC00
6885 01FFFFFE0003FF03FF0007FC00FF800FF8007FC00FF0003FC01FE0001FE01FC0000FE03F
6886 800007F03F800007F07F800007F87F000003F87F000003F87F000003F8FE000001FCFE00
6887 0001FCFE000001FCFE000001FCFE000001FCFE000001FCFE000001FCFE000001FCFE0000
6888 01FCFE000001FCFF000003FC7F000003F87F000003F87F800007F83F800007F03FC0000F
6889 F03FC0000FF01FE0001FE01FF0003FE00FF8007FC007FC00FF8003FF03FF0001FFFFFE00
6890 00FFFFFC00007FFFF800003FFFF000000FFFC0000001FE0000262E7AAC33>I<000001FE
6891 00003FFC0FFFC0007FFE1FFFF000FFFE7FFFF800FFFEFFFFFE007FFFFFFFFF003FFFFE07
6892 FF0000FFF800FF8000FFE0007FC000FFC0003FE000FF80001FE000FF80000FF000FF0000
6893 0FF000FF000007F000FE000007F800FE000003F800FE000003F800FE000003FC00FE0000
6894 01FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE000001FC00FE0000
6895 01FC00FE000001FC00FE000001FC00FE000003FC00FE000003F800FE000003F800FF0000
6896 07F800FF000007F000FF80000FF000FF80000FE000FFC0001FE000FFC0003FC000FFE000
6897 7FC000FFF801FF8000FFFE07FF0000FFFFFFFE0000FEFFFFFC0000FE7FFFF80000FE3FFF
6898 E00000FE0FFF800000FE03FE000000FE0000000000FE0000000000FE0000000000FE0000
6899 000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000
6900 000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000003FFFF800
6901 00007FFFFC000000FFFFFE000000FFFFFE0000007FFFFC0000003FFFF80000002E427FAB
6902 33>I<0000FF007C000007FFE0FE00001FFFF0FE00007FFFFCFE0000FFFFFEFE0001FFFF
6903 FFFE0003FFC0FFFE0007FE003FFE000FFC001FFE000FF0000FFE001FE00007FE001FE000
6904 03FE003FC00003FE003F800001FE007F800001FE007F000001FE007F000000FE00FF0000
6905 00FE00FE000000FE00FE000000FE00FE000000FE00FE000000FE00FE000000FE00FE0000
6906 00FE00FE000000FE00FE000000FE00FE000000FE00FF000000FE007F000000FE007F0000
6907 01FE007F800001FE003F800001FE003FC00003FE003FC00007FE001FE00007FE000FF000
6908 0FFE000FF8001FFE0007FE007FFE0003FF81FFFE0001FFFFFEFE0000FFFFFCFE00007FFF
6909 F8FE00003FFFF0FE00000FFFC0FE000001FE00FE0000000000FE0000000000FE00000000
6910 00FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000
6911 00FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00000000
6912 00FE000000007FFFFC000000FFFFFE000000FFFFFE000000FFFFFE000000FFFFFE000000
6913 7FFFFC2F427CAB33>I<00000003FE007FFF801FFF80FFFFC07FFFE0FFFFC1FFFFE0FFFF
6914 C3FFFFF0FFFFC7FFFFF07FFFCFFE0FF0001FDFF00FF0001FFFC007E0001FFF8003C0001F
6915 FF000000001FFE000000001FFC000000001FF8000000001FF8000000001FF0000000001F
6916 F0000000001FE0000000001FE0000000001FE0000000001FC0000000001FC0000000001F
6917 C0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001F
6918 C0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001F
6919 C0000000001FC0000000001FC0000000001FC00000007FFFFFFE0000FFFFFFFF0000FFFF
6920 FFFF0000FFFFFFFF0000FFFFFFFF00007FFFFFFE00002C2C7DAB33>I<001FFE0F0000FF
6921 FF8F8003FFFFFF800FFFFFFF801FFFFFFF803FFFFFFF803FF007FF807F8001FF807F0000
6922 FF80FE00007F80FC00007F80FC00003F80FC00003F80FC00003F80FE00003F807F00001F
6923 007FC00000003FF80000003FFFC000001FFFFF00000FFFFFE00003FFFFF80000FFFFFC00
6924 001FFFFF000000FFFF80000007FFC00000007FC00000001FE07C00000FE0FE000007F0FE
6925 000003F0FE000003F0FF000003F0FF000003F0FF800003F0FF800007F0FFC00007E0FFE0
6926 000FE0FFF0003FC0FFFE01FFC0FFFFFFFF80FFFFFFFF00FDFFFFFE00FCFFFFF800F83FFF
6927 E0007807FF0000242E79AC33>I<0003C00000000007E0000000000FE0000000000FE000
6928 0000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000
6929 0000000FE0000000000FE00000003FFFFFFFFC007FFFFFFFFE00FFFFFFFFFE00FFFFFFFF
6930 FE00FFFFFFFFFE007FFFFFFFFC00000FE0000000000FE0000000000FE0000000000FE000
6931 0000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000
6932 0000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000
6933 0000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000
6934 1F00000FE0003F80000FE0003F80000FE0003F80000FE0003F80000FE0003F80000FE000
6935 7F80000FF0007F000007F000FF000007F801FF000007FE07FE000003FFFFFC000001FFFF
6936 F8000000FFFFF00000007FFFE00000001FFF8000000007FC000029387EB633>I<3FFC00
6937 1FFE007FFE003FFF00FFFE007FFF00FFFE007FFF007FFE003FFF003FFE001FFF0000FE00
6938 007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00
6939 007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00
6940 007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00
6941 007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00
6942 007F0000FE0000FF0000FE0000FF0000FE0001FF0000FE0001FF0000FF0003FF00007F80
6943 0FFF00007FE03FFFFC003FFFFFFFFE003FFFFFFFFF001FFFFF7FFF000FFFFE7FFE0003FF
6944 F83FFC0000FFC00000302C7FAA33>I<3FFFC00FFFF07FFFE01FFFF8FFFFF03FFFFCFFFF
6945 F03FFFFC7FFFE01FFFF83FFFC00FFFF001F800007E0001FC0000FE0000FC0000FC0000FC
6946 0000FC0000FE0001FC00007E0001F800007E0001F800007F0003F800003F0003F000003F
6947 0003F000003F8007F000001F8007E000001F8007E000001FC00FE000000FC00FC000000F
6948 C00FC000000FC00FC0000007E01F80000007E01F80000007E01F80000007F03F80000003
6949 F03F00000003F03F00000003F87F00000001F87E00000001F87E00000001FCFE00000000
6950 FCFC00000000FCFC00000000FFFC000000007FF8000000007FF8000000007FF800000000
6951 3FF0000000003FF0000000001FE0000000000FC000002E2B7EAA33>I<7FFF8007FFF8FF
6952 FFC00FFFFCFFFFE01FFFFCFFFFE01FFFFCFFFFC00FFFFC7FFF8007FFF80FC000000FC00F
6953 E000001FC007E000001F8007E000001F8007E000001F8007E000001F8007E000001F8007
6954 F000003F8003F000003F0003F000003F0003F000003F0003F00FC03F0003F01FE03F0003
6955 F01FE03F0001F83FF07E0001F83FF07E0001F83FF07E0001F87FF87E0001F87CF87E0001
6956 F87CF87E0000F87CF87C0000FCFCFCFC0000FCFCFCFC0000FCFCFCFC0000FCF87CFC0000
6957 FCF87CFC00007CF87CF800007DF87EF800007DF03EF800007DF03EF800007FF03FF80000
6958 7FF03FF800003FE01FF000003FE01FF000003FE01FF000003FC00FF000000F8007C0002E
6959 2B7EAA33>I<3FFFC07FFF807FFFE0FFFFC0FFFFF1FFFFE0FFFFF1FFFFE07FFFE0FFFFC0
6960 3FFFC07FFF8000FE000FE000007F001FC000003F801FC000003F803F8000001FC07F0000
6961 000FE07E00000007F0FE00000007F1FC00000003FBF800000001FFF800000000FFF00000
6962 0000FFE0000000007FC0000000003FC0000000001F80000000003F80000000003FC00000
6963 00007FE000000000FFE000000001FBF000000001F9F800000003F1FC00000007E0FC0000
6964 0007E07E0000000FC07F0000001FC03F8000003F801F8000003F001FC000007F000FE000
6965 00FE0007F00001FC0003F0007FFFC03FFFE0FFFFE07FFFF0FFFFE07FFFF0FFFFE07FFFF0
6966 FFFFE07FFFF07FFFC03FFFE02C2B7DAA33>I<7FFF801FFFE0FFFFC03FFFF0FFFFE07FFF
6967 F8FFFFE07FFFF8FFFFC03FFFF07FFF801FFFE003F80000FC0001F80001FC0001F80001F8
6968 0001FC0001F80000FC0003F80000FE0003F000007E0003F000007E0003F000007F0007E0
6969 00003F0007E000003F0007E000003F800FC000001F800FC000001F800FC000000FC01F80
6970 00000FC01F8000000FE01F80000007E03F00000007E03F00000007F03F00000003F03F00
6971 000003F07E00000001F87E00000001F87E00000001F87C00000000F8FC00000000FCFC00
6972 000000FCF8000000007CF8000000007DF8000000003FF0000000003FF0000000003FF000
6973 0000001FE0000000001FE0000000001FE0000000000FC0000000000FC0000000001FC000
6974 0000001F80000000001F80000000003F80000000003F00000000003F00000000003F0000
6975 0000007E00000000007E0000000000FE0000003F00FC0000003F01FC0000007F81F80000
6976 007F83F80000007F87F00000007F9FF00000007FFFE00000003FFFC00000003FFF800000
6977 001FFF000000000FFC0000000003F0000000002D427DAA33>I<0FFFFFFFFF801FFFFFFF
6978 FFC03FFFFFFFFFC03FFFFFFFFFC03FFFFFFFFFC03FFFFFFFFF803F800000FF003F800001
6979 FE003F800003FC003F800007F8003F80000FF0001F00001FE0000000003FC0000000007F
6980 8000000000FF0000000001FE0000000003FC0000000007F8000000000FF0000000001FE0
6981 000000003FC0000000007F8000000000FF0000000001FE0000000003FC0000000007F800
6982 0000000FF0000000001FE0000000003FC0000000007F8000000000FF00000F8001FE0000
6983 1FC003FC00001FC007F800001FC00FF000001FC01FE000001FC03FC000001FC07FFFFFFF
6984 FFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC07FFFFFFFFF802A2B7DAA
6985 33>I<00000007FE0000007FFF000001FFFF000007FFFF00000FFFFF00001FFFFE00003F
6986 FE0000003FE00000007F800000007F000000007F000000007F000000007F000000007F00
6987 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000
6988 00007F000000007F000000007F000000007F000000007F000000007F000000007F000000
6989 007F000000007F000000007F00000000FF00000001FE00000003FE0000001FFC00003FFF
6990 FC0000FFFFF80000FFFFE00000FFFFC00000FFFFE00000FFFFF800003FFFFC0000001FFC
6991 00000003FE00000001FE00000000FF000000007F000000007F000000007F000000007F00
6992 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000
6993 00007F000000007F000000007F000000007F000000007F000000007F000000007F000000
6994 007F000000007F000000007F000000007F000000007F800000003FE00000003FFE000000
6995 1FFFFE00000FFFFF000007FFFF000001FFFF0000007FFF00000007FE284D7BC433>I<7C
6996 7CFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE
6997 FEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFEFE
6998 FEFE7C7C074D6AC433>I<7FF0000000FFFF000000FFFFC00000FFFFF00000FFFFF80000
6999 7FFFFC0000003FFE00000003FE00000000FF000000007F000000007F000000007F000000
7000 007F000000007F000000007F000000007F000000007F000000007F000000007F00000000
7001 7F000000007F000000007F000000007F000000007F000000007F000000007F000000007F
7002 000000007F000000007F000000007F000000007F000000007F800000003FC00000003FE0
7003 0000001FFC0000001FFFFC00000FFFFF000003FFFF000001FFFF000003FFFF00000FFFFF
7004 00001FFFFC00001FFC0000003FE00000003FC00000007F800000007F000000007F000000
7005 007F000000007F000000007F000000007F000000007F000000007F000000007F00000000
7006 7F000000007F000000007F000000007F000000007F000000007F000000007F000000007F
7007 000000007F000000007F000000007F000000007F000000007F00000000FF00000003FE00
7008 00003FFE00007FFFFC0000FFFFF80000FFFFF00000FFFFC00000FFFF0000007FF0000000
7009 284D7BC433>I<003E00070000FF800F8003FFC01FC007FFE03FC00FFFF07FC01FFFF9FF
7010 807FE7FFFE00FF83FFFC00FF01FFF800FE00FFF0007C007FC00038001F0000220C78BC33
7011 >I E /Fr 7 120 df<FFFFFFFFFC00000000FFFFFFFFFC00000000FFFFFFFFFC00000000
7012 FFFFFFFFFC00000000007FFFC00000000000001FFF000000000000000FFE000000000000
7013 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7014 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7015 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7016 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7017 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7018 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7019 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7020 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7021 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7022 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7023 000FFE000000000000000FFE000000000000000FFE000000000000000FFE000000000000
7024 000FFE000000000070000FFE000000000070000FFE000000000070000FFE000000000070
7025 000FFE000000000070000FFE0000000000E0000FFE0000000000E0000FFE0000000000E0
7026 000FFE0000000000E0000FFE0000000000E0000FFE0000000001E0000FFE0000000001E0
7027 000FFE0000000001E0000FFE0000000001E0000FFE0000000003E0000FFE0000000003C0
7028 000FFE0000000007C0000FFE0000000007C0000FFE000000000FC0000FFE000000001FC0
7029 000FFE000000001FC0000FFE000000003FC0000FFE00000000FFC0000FFE00000001FFC0
7030 000FFE00000007FFC0001FFE0000001FFFC0007FFF000003FFFF80FFFFFFFFFFFFFFFF80
7031 FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80445279D152>76
7032 D<00001FFC0000700000FFFFC000700007FFFFF000F0000FFFFFFC01F0003FF003FF01F0
7033 007F80003F83F001FE00000FC7F003FC000003F7F007F8000001FFF007F0000000FFF00F
7034 E00000007FF01FC00000003FF01FC00000001FF03F800000000FF03F8000000007F07F80
7035 00000007F07F0000000003F07F0000000003F0FF0000000001F0FF0000000001F0FF0000
7036 000001F0FF0000000000F0FF0000000000F0FF8000000000F0FF8000000000F0FF800000
7037 000070FFC00000000070FFC00000000070FFE000000000707FF000000000007FF8000000
7038 00007FFC00000000003FFE00000000003FFF80000000001FFFF0000000001FFFFF800000
7039 000FFFFFF800000007FFFFFF80000007FFFFFFF8000003FFFFFFFF000001FFFFFFFFC000
7040 007FFFFFFFF000003FFFFFFFF800001FFFFFFFFC000007FFFFFFFF000000FFFFFFFF8000
7041 001FFFFFFF80000001FFFFFFC00000001FFFFFE000000000FFFFF0000000000FFFF00000
7042 000003FFF80000000000FFF800000000007FF800000000003FFC00000000001FFC000000
7043 00000FFC00000000000FFE000000000007FEE00000000007FEE00000000003FEE0000000
7044 0003FEE00000000003FEE00000000001FEE00000000001FEF00000000001FEF000000000
7045 01FEF00000000001FEF00000000001FCF80000000001FCF80000000001FCFC0000000003
7046 FCFC0000000003F8FE0000000003F8FF0000000007F0FF0000000007F0FF800000000FE0
7047 FFC00000001FE0FFF00000001FC0FFF80000003F80FEFE0000007F00FE3F800001FE00FC
7048 1FF00003FC00F807FF001FF800F801FFFFFFE000F0007FFFFF8000E0000FFFFE0000E000
7049 00FFF00000375877D449>83 D<FFFFFFFFFF000000FFFFFFFFFFF00000FFFFFFFFFFFC00
7050 0001FFE00007FF000000FFC00000FFC000007FC000003FE000007FC000000FF800007FC0
7051 000007FC00007FC0000003FE00007FC0000001FF00007FC0000000FF80007FC00000007F
7052 80007FC00000003FC0007FC00000003FE0007FC00000001FF0007FC00000001FF0007FC0
7053 0000001FF8007FC00000000FF8007FC00000000FFC007FC00000000FFC007FC000000007
7054 FC007FC000000007FE007FC000000007FE007FC000000007FE007FC000000007FE007FC0
7055 00000007FF007FC000000007FF007FC000000007FF007FC000000007FF007FC000000007
7056 FF007FC000000007FF007FC000000007FF007FC000000007FF007FC000000007FF007FC0
7057 00000007FF007FC000000007FF007FC000000007FF007FC000000007FE007FC000000007
7058 FE007FC000000007FE007FC000000007FE007FC00000000FFC007FC00000000FFC007FC0
7059 0000000FF8007FC00000000FF8007FC00000001FF0007FC00000001FF0007FC00000003F
7060 E0007FC00000003FE0007FC00000007FC0007FC0000000FF80007FC0000000FF00007FC0
7061 000001FE00007FC0000007FC00007FC000000FF800007FC000003FF00000FFC00000FFC0
7062 0001FFE00007FF8000FFFFFFFFFFFC0000FFFFFFFFFFF00000FFFFFFFFFF000000403D7C
7063 BC4B>100 D<FFFFFFFFFFFFFC00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC0001FFE000003F
7064 FC0000FFC0000007FC00007FC0000001FE00007FC00000007E00007FC00000007E00007F
7065 C00000003E00007FC00000001E00007FC00000001E00007FC00000000E00007FC0000000
7066 0E00007FC00000000E00007FC00000000E00007FC00000000F00007FC00000000700007F
7067 C00000000700007FC0000E000700007FC0000E000700007FC0000E000000007FC0000E00
7068 0000007FC0000E000000007FC0001E000000007FC0001E000000007FC0001E000000007F
7069 C0003E000000007FC001FE000000007FFFFFFE000000007FFFFFFE000000007FFFFFFE00
7070 0000007FC001FE000000007FC0003E000000007FC0001E000000007FC0001E000000007F
7071 C0001E000000007FC0000E000000007FC0000E000000007FC0000E0001C0007FC0000E00
7072 01C0007FC0000E0001C0007FC000000001C0007FC00000000380007FC00000000380007F
7073 C00000000380007FC00000000380007FC00000000380007FC00000000780007FC0000000
7074 0780007FC00000000700007FC00000000F00007FC00000000F00007FC00000001F00007F
7075 C00000003F00007FC00000007F00007FC0000000FF0000FFC0000003FF0001FFE000003F
7076 FE00FFFFFFFFFFFFFE00FFFFFFFFFFFFFE00FFFFFFFFFFFFFE003A3D7CBC43>I<FFFFC0
7077 00001FFFFFFFFFE000001FFFFFFFFFE000001FFFFF00FFF0000001FFF0007FF80000007F
7078 C0007FFC0000003F80007FFC0000001F000077FE0000001F000073FF0000000E000071FF
7079 8000000E000071FF8000000E000070FFC000000E0000707FE000000E0000703FE000000E
7080 0000703FF000000E0000701FF800000E0000700FFC00000E0000700FFC00000E00007007
7081 FE00000E00007003FF00000E00007001FF80000E00007001FF80000E00007000FFC0000E
7082 000070007FE0000E000070003FF0000E000070003FF0000E000070001FF8000E00007000
7083 0FFC000E0000700007FE000E0000700007FE000E0000700003FF000E0000700001FF800E
7084 0000700000FFC00E0000700000FFC00E00007000007FE00E00007000003FF00E00007000
7085 001FF80E00007000001FF80E00007000000FFC0E000070000007FE0E000070000003FF0E
7086 000070000003FF0E000070000001FF8E000070000000FFCE0000700000007FCE00007000
7087 00007FEE0000700000003FFE0000700000001FFE0000700000001FFE0000700000000FFE
7088 00007000000007FE00007000000003FE00007000000003FE0000F800000001FE0000F800
7089 000000FE0001FC000000007E0003FE000000007E000FFF800000003E00FFFFF80000001E
7090 00FFFFF80000000E00FFFFF80000000E00403D7CBC49>110 D<FFFFFFE0001FFFFFFFFF
7091 FFE0001FFFFFFFFFFFE0001FFFFF01FFF0000001FFF000FFE00000007FC0007FC0000000
7092 3F80007FC00000001F00007FC00000001F00007FC00000000E00007FC00000000E00007F
7093 C00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007FC0000000
7094 0E00007FC00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007F
7095 C00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007FC0000000
7096 0E00007FC00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007F
7097 C00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007FC0000000
7098 0E00007FC00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007F
7099 C00000000E00007FC00000000E00007FC00000000E00007FC00000000E00007FC0000000
7100 0E00007FC00000000E00007FC00000000E00007FC00000000E00003FC00000001E00003F
7101 E00000001C00003FE00000001C00003FE00000003C00001FE00000003800001FF0000000
7102 7800000FF000000070000007F8000000F0000007F8000001E0000003FC000001C0000001
7103 FE000007C0000000FF00000F800000007F80003F000000001FE000FC000000000FFC07F8
7104 0000000003FFFFE00000000000FFFF8000000000000FFC000000403F7CBC49>117
7105 D<FFFFFF001FFFFFE0001FFFF8FFFFFF001FFFFFE0001FFFF8FFFFFF001FFFFFE0001FFF
7106 F807FFE00000FFFE000007FFC003FFC000007FF8000001FF0001FF8000003FF0000000FE
7107 0000FF8000001FF0000000FC0000FF8000001FF00000007C0000FFC000000FF800000078
7108 00007FC000000FF80000007000007FC000000FF80000007000007FE0000007FC000000F0
7109 00003FE0000007FC000000E000003FE0000007FC000000E000003FF000000FFE000001E0
7110 00001FF000000FFE000001C000001FF000001FFF000001C000000FF800001DFF00000380
7111 00000FF800001DFF0000038000000FF800003DFF80000380000007FC000038FF80000700
7112 000007FC000038FF80000700000007FE000078FFC0000700000003FE0000707FC0000E00
7113 000003FE0000707FC0000E00000003FF0000E03FE0001E00000001FF0000E03FE0001C00
7114 000001FF0000E03FE0001C00000001FF8001C01FF0003C00000000FF8001C01FF0003800
7115 000000FF8001C01FF80038000000007FC003800FF80070000000007FC003800FF8007000
7116 0000007FC007800FFC0070000000003FE0070007FC00E0000000003FE0070007FC00E000
7117 0000003FE00F0007FE00E0000000001FF00E0003FE01C0000000001FF00E0003FE01C000
7118 0000001FF81C0001FF03C0000000000FF81C0001FF0380000000000FF81C0001FF038000
7119 0000000FFC380000FF87800000000007FC380000FF87000000000007FC380000FF870000
7120 00000007FE7000007FCF000000000003FE7000007FCE000000000003FEF000007FEE0000
7121 00000001FFE000003FFC000000000001FFE000003FFC000000000001FFE000003FFC0000
7122 00000000FFC000001FF8000000000000FFC000001FF8000000000000FFC000001FF80000
7123 000000007F8000000FF00000000000007F8000000FF00000000000007F00000007F00000
7124 000000003F00000007E00000000000003F00000007E00000000000003E00000003E00000
7125 000000001E00000003C00000000000001C00000001C00000005D3E7DBC64>119
7126 D E /Fs 45 128 df<000000E0000001E0000003C00000078000000F0000001E0000003C
7127 0000007C000000F8000001F0000003F0000003E0000007C000000FC000000F8000001F80
7128 00001F0000003E0000007E0000007E000000FC000000FC000001F8000001F8000001F000
7129 0003F0000003F0000007E0000007E0000007E000000FE000000FC000000FC000001FC000
7130 001FC000001F8000001F8000003F8000003F8000003F0000003F0000003F0000007F0000
7131 007F0000007F0000007F0000007F0000007E0000007E0000007E000000FE000000FE0000
7132 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000
7133 00FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000
7134 00FE0000007E0000007E0000007E0000007F0000007F0000007F0000007F0000007F0000
7135 003F0000003F0000003F0000003F8000003F8000001F8000001F8000001FC000001FC000
7136 000FC000000FC000000FE0000007E0000007E0000007E0000003F0000003F0000001F000
7137 0001F8000001F8000000FC000000FC0000007E0000007E0000003E0000001F0000001F80
7138 00000F8000000FC0000007C0000003E0000003F0000001F0000000F80000007C0000003C
7139 0000001E0000000F0000000780000003C0000001E0000000E01B7974D92E>40
7140 D<E0000000F0000000780000003C0000001E0000000F0000000780000007C0000003E000
7141 0001F0000001F8000000F80000007C0000007E0000003E0000003F0000001F0000000F80
7142 00000FC000000FC0000007E0000007E0000003F0000003F0000001F0000001F8000001F8
7143 000000FC000000FC000000FC000000FE0000007E0000007E0000007F0000007F0000003F
7144 0000003F0000003F8000003F8000001F8000001F8000001F8000001FC000001FC000001F
7145 C000001FC000001FC000000FC000000FC000000FC000000FE000000FE000000FE000000F
7146 E000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000F
7147 E000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000F
7148 C000000FC000000FC000001FC000001FC000001FC000001FC000001FC000001F8000001F
7149 8000001F8000003F8000003F8000003F0000003F0000007F0000007F0000007E0000007E
7150 000000FE000000FC000000FC000000FC000001F8000001F8000001F0000003F0000003F0
7151 000007E0000007E000000FC000000FC000000F8000001F0000003F0000003E0000007E00
7152 00007C000000F8000001F8000001F0000003E0000007C00000078000000F0000001E0000
7153 003C00000078000000F0000000E00000001B797AD92E>I<0F003FC07FE0FFE0FFF0FFF0
7154 FFF8FFF8FFF87FF83FF80F3800380038003800380038007800700070007000F000E000E0
7155 01E001C003C0038007800F001E001E003C00780030000D23768B21>44
7156 D<FFFFFFFEFFFFFFFEFFFFFFFEFFFFFFFEFFFFFFFEFFFFFFFEFFFFFFFE1F077F9C27>I<
7157 0F003FC07FE0FFF0FFF0FFF0FFF0FFF0FFF07FE03FC00F000C0C768B21>I<0000070000
7158 00000F000000001F000000007F00000000FF00000007FF0000003FFF00000FFFFF0000FF
7159 FFFF0000FFF9FF0000FFC1FF0000F001FF00000001FF00000001FF00000001FF00000001
7160 FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF
7161 00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00
7162 000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF0000
7163 0001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF000000
7164 01FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001
7165 FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF
7166 00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00
7167 000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF0000
7168 0003FF8000000FFFE000FFFFFFFFFEFFFFFFFFFEFFFFFFFFFEFFFFFFFFFE274F75CE3B>
7169 49 D<00007FE000000003FFFE0000000FFFFF8000003FFFFFE00000FF00FFF80001F800
7170 1FFC0003E0000FFE0007C00003FF000F800001FF800F000000FFC01E000000FFE01C0000
7171 007FE03C0000003FF0380000003FF0780000001FF8700000001FF8700000001FF8FF0000
7172 000FFCFFC000000FFCFFE000000FFCFFE000000FFCFFE000000FFCFFE000000FFCFFE000
7173 000FFCFFE000000FFC7FC000000FFC3F8000000FFC0E0000000FFC000000001FF8000000
7174 001FF8000000001FF8000000001FF0000000003FF0000000003FF0000000007FE0000000
7175 007FC000000000FFC000000000FF8000000001FF0000000001FF0000000003FE00000000
7176 07FC0000000007F8000000000FF0000000001FE0000000003FC0000000003F8000000000
7177 7F0000000000FE0000000001FC0000000003F80000000007F0000000000FE0000000000F
7178 C0000000001F80000000003F00000000007E0000000000FC0000000001F800001C0003E0
7179 00001C0007C000001C000F80000038000F00000038001E00000038003C00000038007800
7180 00003800F00000007801E00000007803C0000000700780000000F00FFFFFFFFFF00FFFFF
7181 FFFFF01FFFFFFFFFF03FFFFFFFFFF07FFFFFFFFFF0FFFFFFFFFFE0FFFFFFFFFFE0FFFFFF
7182 FFFFE0FFFFFFFFFFE02E4F7ACE3B>I<00003FF800000001FFFF8000000FFFFFE000001F
7183 C01FF800007E0003FC0000F80001FF0001E00000FF8003C000007FC0078000007FE00F00
7184 00003FE00FC000003FF00FF000003FF01FF800001FF81FFC00001FF81FFC00001FF81FFC
7185 00001FF81FFC00001FF81FFC00001FF80FF800001FF80FF800001FF803E000001FF80000
7186 00003FF0000000003FF0000000003FF0000000003FE0000000007FE0000000007FC00000
7187 0000FFC000000000FF8000000001FF0000000001FE0000000003FC0000000007F8000000
7188 000FF0000000003FC000000007FF00000003FFFC00000003FFF800000003FFFF80000000
7189 001FE00000000007F80000000001FE0000000000FF00000000007F80000000007FC00000
7190 00003FE0000000001FF0000000001FF8000000001FF8000000000FFC000000000FFE0000
7191 00000FFE0000000007FE0000000007FF0000000007FF0000000007FF0F00000007FF3FC0
7192 000007FF7FE0000007FFFFF0000007FFFFF0000007FFFFF0000007FFFFF0000007FFFFF0
7193 000007FEFFF000000FFEFFE000000FFE7FC000000FFC7F0000000FFC780000001FF83C00
7194 00001FF83E0000003FF01F0000007FE00F8000007FE007C00000FFC003F00001FF8001FC
7195 0007FE0000FFC01FFC00003FFFFFF000000FFFFFC0000003FFFF000000003FF800003051
7196 7BCE3B>I<000000000F0000000000001F0000000000001F0000000000003F0000000000
7197 007F0000000000007F000000000000FF000000000001FF000000000001FF000000000003
7198 FF000000000007FF000000000007FF00000000000FFF00000000001EFF00000000001CFF
7199 00000000003CFF000000000078FF000000000070FF0000000000F0FF0000000001E0FF00
7200 00000001C0FF0000000003C0FF000000000380FF000000000700FF000000000F00FF0000
7201 00000E00FF000000001C00FF000000003C00FF000000003800FF000000007000FF000000
7202 00F000FF00000000E000FF00000001C000FF00000003C000FF000000038000FF00000007
7203 8000FF0000000F0000FF0000000E0000FF0000001E0000FF0000003C0000FF0000003800
7204 00FF000000780000FF000000F00000FF000000E00000FF000001E00000FF000003C00000
7205 FF000003800000FF000007800000FF00000F000000FF00000E000000FF00001E000000FF
7206 00003C000000FF000038000000FF000078000000FF0000F0000000FF0000FFFFFFFFFFFF
7207 F0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF000000001FF000000000001FF0000
7208 00000001FF000000000001FF000000000001FF000000000001FF000000000001FF000000
7209 000001FF000000000001FF000000000001FF000000000001FF000000000001FF00000000
7210 0001FF000000000001FF000000000001FF000000000003FF800000000007FFC00000000F
7211 FFFFFFE000000FFFFFFFE000000FFFFFFFE000000FFFFFFFE034507DCF3B>I<0000003F
7212 E000000003FFFC0000000FFFFF0000003FE01F8000007F0007C00001FC0001E00003F800
7213 00F00007F00000F0000FE00003F0001FC0000FF8003F80001FF8007F00001FF800FE0000
7214 1FF800FE00001FF801FC00001FF803FC00001FF803F800000FF007F8000003C007F80000
7215 00000FF0000000000FF0000000001FF0000000001FE0000000001FE0000000003FE00000
7216 00003FE0000000003FE0000000007FE0000000007FC0000000007FC00FFF00007FC03FFF
7217 C0007FC0FFFFF000FFC1F003FC00FFC3C000FE00FFC780007F00FFC700003F80FFCE0000
7218 3FC0FFDC00001FE0FFDC00000FE0FFF800000FF0FFF8000007F8FFF0000007F8FFF00000
7219 07FCFFF0000007FCFFE0000007FEFFE0000003FEFFE0000003FEFFE0000003FEFFC00000
7220 03FFFFC0000003FFFFC0000003FFFFC0000003FF7FC0000003FF7FC0000003FF7FC00000
7221 03FF7FC0000003FF7FC0000003FF7FC0000003FF3FE0000003FF3FE0000003FF3FE00000
7222 03FF3FE0000003FE1FE0000003FE1FE0000003FE1FE0000007FE0FF0000007FC0FF00000
7223 07FC07F0000007F807F800000FF803F800000FF003FC00001FE001FC00001FE000FE0000
7224 3FC000FF00007F80007F8000FF00003FC001FE00000FF80FFC000007FFFFF0000001FFFF
7225 C00000007FFF000000000FF8000030517BCE3B>54 D<1E0000000000001E000000000000
7226 1F0000000000001FF000000000001FFFFFFFFFFFC01FFFFFFFFFFFC01FFFFFFFFFFFC01F
7227 FFFFFFFFFFC03FFFFFFFFFFF803FFFFFFFFFFF803FFFFFFFFFFF003FFFFFFFFFFE003FFF
7228 FFFFFFFE003C000000003C0038000000007800780000000070007800000000F000700000
7229 0001E0007000000001C0007000000003C0007000000007800070000000070000E0000000
7230 0F0000E00000001E0000E00000003C0000000000003800000000000078000000000000F0
7231 000000000000E0000000000001E0000000000003C0000000000003800000000000078000
7232 000000000F0000000000000F0000000000001E0000000000003E0000000000003C000000
7233 0000007C00000000000078000000000000F8000000000000F8000000000001F000000000
7234 0001F0000000000003F0000000000003F0000000000003E0000000000007E00000000000
7235 07E000000000000FE000000000000FE000000000000FC000000000001FC000000000001F
7236 C000000000001FC000000000003FC000000000003FC000000000003FC000000000007FC0
7237 00000000007F8000000000007F8000000000007F8000000000007F800000000000FF8000
7238 00000000FF800000000000FF800000000000FF800000000000FF800000000000FF800000
7239 000001FF800000000001FF800000000001FF800000000001FF800000000001FF80000000
7240 0001FF800000000001FF800000000001FF800000000001FF800000000001FF8000000000
7241 01FF800000000001FF800000000000FF0000000000003C0000000032537AD03B>I<0000
7242 1FF800000000FFFF00000003FFFFC000000FF00FE000001FC003F800007F8001FC0000FE
7243 0000FE0001FE00007F0003FC00003F8003F800003F8007F800001FC00FF000001FE01FF0
7244 00000FE01FE000000FF03FE000000FF03FE0000007F07FE0000007F87FC0000007F87FC0
7245 000007F87FC0000007FCFFC0000007FCFFC0000007FCFFC0000003FCFFC0000003FEFFC0
7246 000003FEFFC0000003FEFFC0000003FEFFC0000003FEFFC0000003FEFFC0000003FFFFC0
7247 000003FFFFC0000003FFFFC0000007FF7FC0000007FF7FC0000007FF7FC0000007FF7FE0
7248 000007FF3FE000000FFF3FE000000FFF1FE000000FFF1FF000001FFF0FF000001BFF07F0
7249 00003BFF07F800003BFF03FC000073FF01FC0000E3FF00FE0001E3FF007F0003C3FF003F
7250 C00F83FE000FFFFF03FE0003FFFC03FE0000FFF003FE0000000003FE0000000007FE0000
7251 000007FC0000000007FC0000000007FC0000000007F80000000007F8000000000FF80000
7252 00000FF0000000000FF0000000001FF003C000001FE00FF000001FE01FF800003FC01FF8
7253 00003F801FF800007F801FF800007F001FF80000FE001FF80001FE001FF00003FC000FC0
7254 0007F8000F00000FF0000780001FE00007E0003FC00003FC01FF000001FFFFFE0000007F
7255 FFF80000001FFFE000000003FF00000030517BCE3B>57 D<0F003FC07FE0FFF0FFF0FFF0
7256 FFF0FFF0FFF07FE03FC00F00000000000000000000000000000000000000000000000000
7257 0000000000000000000000000000000000000000000000000000000000000F003FC07FE0
7258 FFF0FFF0FFF0FFF0FFF0FFF07FE03FC00F000C3376B221>I<0000000003800000000000
7259 00000007C0000000000000000007C0000000000000000007C000000000000000000FE000
7260 000000000000000FE000000000000000000FE000000000000000001FF000000000000000
7261 001FF000000000000000001FF000000000000000003FF800000000000000003FF8000000
7262 00000000003FF800000000000000007FFC00000000000000007FFC0000000000000000FF
7263 FE0000000000000000E7FE0000000000000000E7FE0000000000000001E7FF0000000000
7264 000001C3FF0000000000000001C3FF0000000000000003C3FF800000000000000381FF80
7265 0000000000000381FF800000000000000701FFC00000000000000700FFC0000000000000
7266 0700FFC00000000000000E00FFE00000000000000E007FE00000000000000E007FE00000
7267 000000001C007FF00000000000001C003FF00000000000001C003FF00000000000003800
7268 1FF800000000000038001FF800000000000078001FFC00000000000070000FFC00000000
7269 000070000FFC000000000000F0000FFE000000000000E00007FE000000000000E00007FE
7270 000000000001E00007FF000000000001C00003FF000000000001C00003FF000000000003
7271 800003FF800000000003800001FF800000000003800001FF800000000007000001FFC000
7272 00000007000000FFC00000000007000000FFC0000000000E000000FFE0000000000E0000
7273 007FE0000000000E0000007FE0000000001C0000003FF0000000001FFFFFFFFFF0000000
7274 003FFFFFFFFFF8000000003FFFFFFFFFF8000000003FFFFFFFFFF800000000780000001F
7275 FC00000000700000000FFC00000000700000000FFC00000000F00000000FFE00000000E0
7276 00000007FE00000000E000000007FE00000001C000000007FF00000001C000000003FF00
7277 000001C000000003FF000000038000000003FF800000038000000001FF80000003800000
7278 0001FF800000070000000000FFC00000070000000000FFC000000F0000000000FFE00000
7279 0E00000000007FE000000E00000000007FE000001E00000000007FF000001E0000000000
7280 3FF000003E00000000003FF000007F00000000003FF80001FF80000000007FFC000FFFE0
7281 00000001FFFE00FFFFFE0000007FFFFFFEFFFFFE0000007FFFFFFEFFFFFE0000007FFFFF
7282 FEFFFFFE0000007FFFFFFE4F557CD458>65 D<000000001FFC00000300000001FFFFC000
7283 070000000FFFFFF0000F0000007FFFFFFC000F000001FFF800FF001F000007FF80001FC0
7284 1F00000FFE000007E03F00003FF8000001F07F00007FE0000000F87F0001FF800000003C
7285 FF0003FF000000001EFF0007FE000000000FFF000FFC0000000007FF001FF80000000007
7286 FF003FF00000000003FF007FE00000000001FF007FC00000000001FF00FFC00000000000
7287 FF01FF8000000000007F01FF0000000000007F03FF0000000000003F07FE000000000000
7288 3F07FE0000000000003F0FFC0000000000001F0FFC0000000000001F1FFC000000000000
7289 1F1FF80000000000000F1FF80000000000000F3FF80000000000000F3FF8000000000000
7290 0F3FF0000000000000077FF0000000000000077FF0000000000000077FF0000000000000
7291 077FF0000000000000007FE000000000000000FFE000000000000000FFE0000000000000
7292 00FFE000000000000000FFE000000000000000FFE000000000000000FFE0000000000000
7293 00FFE000000000000000FFE000000000000000FFE000000000000000FFE0000000000000
7294 00FFE000000000000000FFE000000000000000FFE000000000000000FFE0000000000000
7295 007FE0000000000000007FF0000000000000007FF0000000000000007FF0000000000000
7296 007FF0000000000000073FF0000000000000073FF8000000000000073FF8000000000000
7297 071FF8000000000000071FF8000000000000071FFC0000000000000F0FFC000000000000
7298 0E0FFC0000000000000E07FE0000000000000E07FE0000000000001E03FF000000000000
7299 1C01FF0000000000003C01FF8000000000003C00FFC0000000000078007FC00000000000
7300 78007FE00000000000F0003FF00000000001E0001FF80000000001E0000FFC0000000003
7301 C00007FE0000000007800003FF000000000F000001FF800000001E0000007FE00000007C
7302 0000003FF8000000F80000000FFE000003F000000007FF80000FE000000001FFF800FF80
7303 000000007FFFFFFE00000000000FFFFFF8000000000001FFFFE00000000000001FFE0000
7304 0048567AD355>67 D<FFFFFFFFFFFE00000000FFFFFFFFFFFFE0000000FFFFFFFFFFFFFC
7305 000000FFFFFFFFFFFFFF000000007FFC00000FFFC00000003FF8000001FFE00000001FF8
7306 0000003FF80000001FF80000000FFC0000001FF800000007FE0000001FF800000001FF00
7307 00001FF800000000FF8000001FF8000000007FC000001FF8000000003FE000001FF80000
7308 00001FF000001FF8000000000FF000001FF8000000000FF800001FF80000000007FC0000
7309 1FF80000000007FC00001FF80000000003FE00001FF80000000001FF00001FF800000000
7310 01FF00001FF80000000001FF80001FF80000000000FF80001FF80000000000FF80001FF8
7311 0000000000FFC0001FF800000000007FC0001FF800000000007FE0001FF800000000007F
7312 E0001FF800000000007FE0001FF800000000007FE0001FF800000000003FF0001FF80000
7313 0000003FF0001FF800000000003FF0001FF800000000003FF0001FF800000000003FF000
7314 1FF800000000003FF8001FF800000000003FF8001FF800000000003FF8001FF800000000
7315 003FF8001FF800000000003FF8001FF800000000003FF8001FF800000000003FF8001FF8
7316 00000000003FF8001FF800000000003FF8001FF800000000003FF8001FF800000000003F
7317 F8001FF800000000003FF8001FF800000000003FF8001FF800000000003FF8001FF80000
7318 0000003FF0001FF800000000003FF0001FF800000000003FF0001FF800000000003FF000
7319 1FF800000000007FE0001FF800000000007FE0001FF800000000007FE0001FF800000000
7320 007FE0001FF800000000007FC0001FF80000000000FFC0001FF80000000000FF80001FF8
7321 0000000000FF80001FF80000000001FF00001FF80000000001FF00001FF80000000003FE
7322 00001FF80000000003FE00001FF80000000007FC00001FF80000000007FC00001FF80000
7323 00000FF800001FF8000000001FF000001FF8000000003FE000001FF8000000007FC00000
7324 1FF800000000FF8000001FF800000001FF0000001FF800000003FE0000001FF80000000F
7325 FC0000001FF80000003FF80000003FF8000000FFE00000007FFC00000FFFC00000FFFFFF
7326 FFFFFFFF000000FFFFFFFFFFFFFC000000FFFFFFFFFFFFE0000000FFFFFFFFFFFE000000
7327 004D527BD159>I<FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF007FFE00003FFC00001FF800
7328 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7329 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7330 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7331 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7332 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7333 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7334 001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800001FF800
7335 001FF800001FF800001FF800001FF800001FF800001FF800003FFC00007FFE00FFFFFFFF
7336 FFFFFFFFFFFFFFFFFFFFFFFF20527BD12A>73 D<FFFFFFFFE0000000FFFFFFFFE0000000
7337 FFFFFFFFE0000000FFFFFFFFE0000000007FFF0000000000003FFC0000000000001FF800
7338 00000000001FF80000000000001FF80000000000001FF80000000000001FF80000000000
7339 001FF80000000000001FF80000000000001FF80000000000001FF80000000000001FF800
7340 00000000001FF80000000000001FF80000000000001FF80000000000001FF80000000000
7341 001FF80000000000001FF80000000000001FF80000000000001FF80000000000001FF800
7342 00000000001FF80000000000001FF80000000000001FF80000000000001FF80000000000
7343 001FF80000000000001FF80000000000001FF80000000000001FF80000000000001FF800
7344 00000000001FF80000000000001FF80000000000001FF80000000000001FF80000000000
7345 001FF80000000000001FF80000000000001FF80000000000001FF80000000000001FF800
7346 00000000001FF80000000000001FF80000000000001FF80000000000001FF80000000000
7347 001FF80000000000001FF80000000000001FF80000000000001FF80000000000001FF800
7348 0000001C001FF8000000001C001FF8000000001C001FF8000000001C001FF8000000001C
7349 001FF80000000038001FF80000000038001FF80000000038001FF80000000038001FF800
7350 00000038001FF80000000038001FF80000000078001FF80000000078001FF80000000078
7351 001FF800000000F8001FF800000000F0001FF800000000F0001FF800000001F0001FF800
7352 000003F0001FF800000003F0001FF800000007F0001FF80000000FF0001FF80000001FF0
7353 001FF80000003FF0001FF8000000FFF0003FF8000003FFF0007FFC00003FFFE0FFFFFFFF
7354 FFFFFFE0FFFFFFFFFFFFFFE0FFFFFFFFFFFFFFE0FFFFFFFFFFFFFFE03E527BD149>76
7355 D<FFFFFFFFFFFC000000FFFFFFFFFFFFC00000FFFFFFFFFFFFF80000FFFFFFFFFFFFFE00
7356 00007FFC00001FFF8000003FF8000001FFC000001FF80000007FF000001FF80000001FF8
7357 00001FF80000000FFC00001FF800000007FE00001FF800000003FF00001FF800000001FF
7358 00001FF800000001FF80001FF800000000FFC0001FF800000000FFC0001FF800000000FF
7359 E0001FF8000000007FE0001FF8000000007FE0001FF8000000007FF0001FF8000000007F
7360 F0001FF8000000007FF0001FF8000000007FF0001FF8000000007FF0001FF8000000007F
7361 F0001FF8000000007FF0001FF8000000007FF0001FF8000000007FF0001FF8000000007F
7362 E0001FF8000000007FE0001FF800000000FFE0001FF800000000FFC0001FF800000000FF
7363 C0001FF800000001FF80001FF800000001FF00001FF800000003FF00001FF800000007FE
7364 00001FF80000000FFC00001FF80000001FF800001FF80000007FE000001FF8000001FFC0
7365 00001FF800001FFF0000001FFFFFFFFFFC0000001FFFFFFFFFF00000001FFFFFFFFF8000
7366 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7367 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7368 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7369 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7370 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7371 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7372 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7373 00001FF8000000000000001FF8000000000000001FF8000000000000001FF80000000000
7374 00003FFC000000000000007FFE000000000000FFFFFFFF0000000000FFFFFFFF00000000
7375 00FFFFFFFF0000000000FFFFFFFF000000000044527BD150>80 D<00003FF00003000001
7376 FFFF0007000007FFFFC00700001FFFFFF00F00007FE00FF81F0000FF0000FE1F0001FC00
7377 003F3F0003F800001FBF0007F000000FFF000FE0000003FF001FC0000003FF001F800000
7378 01FF003F80000000FF003F000000007F007F000000007F007F000000003F007E00000000
7379 3F007E000000001F00FE000000001F00FE000000001F00FE000000000F00FE000000000F
7380 00FE000000000F00FF000000000F00FF000000000700FF800000000700FF800000000700
7381 FFC000000007007FC000000000007FE000000000007FF000000000003FFC00000000003F
7382 FE00000000001FFF80000000001FFFF8000000000FFFFF8000000007FFFFF800000007FF
7383 FFFF80000003FFFFFFF0000001FFFFFFFE0000007FFFFFFF0000003FFFFFFFC000000FFF
7384 FFFFE0000003FFFFFFF80000007FFFFFFC0000000FFFFFFC00000000FFFFFE000000000F
7385 FFFF0000000000FFFF80000000001FFF800000000007FFC00000000001FFC00000000000
7386 FFC000000000007FE000000000007FE000000000003FE000000000001FF000000000001F
7387 F0E0000000000FF0E0000000000FF0E0000000000FF0E00000000007F0E00000000007F0
7388 E00000000007F0F00000000007F0F00000000007F0F00000000007F0F00000000007E0F8
7389 0000000007E0F8000000000FE0FC000000000FE0FC000000000FC0FE000000001FC0FF00
7390 0000001F80FF800000003F80FFC00000003F00FFE00000007E00FFF0000000FE00FCFC00
7391 0001FC00FC7F000003F800F83FC0000FF000F80FFE007FC000F003FFFFFF8000E000FFFF
7392 FE0000E0003FFFF80000C00001FFC0000034567AD341>83 D<3FFFFFFFFFFFFFFFFFC03F
7393 FFFFFFFFFFFFFFFFC03FFFFFFFFFFFFFFFFFC03FFFFFFFFFFFFFFFFFC03FFE0000FFF000
7394 07FFC03FF000007FE00000FFC03FC000007FE000003FC07F0000007FE000000FE07E0000
7395 007FE0000007E07C0000007FE0000003E07C0000007FE0000003E0780000007FE0000001
7396 E0780000007FE0000001E0780000007FE0000001E0780000007FE0000001E0700000007F
7397 E0000000E0700000007FE0000000E0700000007FE0000000E0700000007FE0000000E070
7398 0000007FE0000000E0F00000007FE0000000F0E00000007FE000000070E00000007FE000
7399 000070E00000007FE000000070E00000007FE000000070E00000007FE000000070E00000
7400 007FE000000070000000007FE000000000000000007FE000000000000000007FE0000000
7401 00000000007FE000000000000000007FE000000000000000007FE000000000000000007F
7402 E000000000000000007FE000000000000000007FE000000000000000007FE00000000000
7403 0000007FE000000000000000007FE000000000000000007FE000000000000000007FE000
7404 000000000000007FE000000000000000007FE000000000000000007FE000000000000000
7405 007FE000000000000000007FE000000000000000007FE000000000000000007FE0000000
7406 00000000007FE000000000000000007FE000000000000000007FE000000000000000007F
7407 E000000000000000007FE000000000000000007FE000000000000000007FE00000000000
7408 0000007FE000000000000000007FE000000000000000007FE000000000000000007FE000
7409 000000000000007FE000000000000000007FE000000000000000007FE000000000000000
7410 007FE000000000000000007FE000000000000000007FE000000000000000007FE0000000
7411 00000000007FE000000000000000007FE000000000000000007FE000000000000000007F
7412 E000000000000000007FE000000000000000007FE000000000000000007FE00000000000
7413 0000007FE000000000000000007FE00000000000000000FFF00000000000000003FFFC00
7414 00000000007FFFFFFFFFE0000000007FFFFFFFFFE0000000007FFFFFFFFFE0000000007F
7415 FFFFFFFFE000004C517CD055>I<FFFFFFFF00000FFFFFF8FFFFFFFF00000FFFFFF8FFFF
7416 FFFF00000FFFFFF8FFFFFFFF00000FFFFFF8007FFE000000007FFF00003FFC000000000F
7417 F800001FF80000000007F000001FF80000000003E000001FF80000000001C000001FF800
7418 00000001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000
7419 001FF80000000001C000001FF80000000001C000001FF80000000001C000001FF8000000
7420 0001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000001F
7421 F80000000001C000001FF80000000001C000001FF80000000001C000001FF80000000001
7422 C000001FF80000000001C000001FF80000000001C000001FF80000000001C000001FF800
7423 00000001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000
7424 001FF80000000001C000001FF80000000001C000001FF80000000001C000001FF8000000
7425 0001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000001F
7426 F80000000001C000001FF80000000001C000001FF80000000001C000001FF80000000001
7427 C000001FF80000000001C000001FF80000000001C000001FF80000000001C000001FF800
7428 00000001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000
7429 001FF80000000001C000001FF80000000001C000001FF80000000001C000001FF8000000
7430 0001C000001FF80000000001C000001FF80000000001C000001FF80000000001C000001F
7431 F80000000001C000001FF80000000001C000001FF80000000001C000001FF80000000001
7432 C000000FF80000000003C000000FF800000000038000000FFC00000000038000000FFC00
7433 0000000380000007FC000000000780000007FC000000000700000007FE000000000F0000
7434 0003FE000000000F00000003FE000000001E00000001FF000000001E00000001FF000000
7435 003C00000000FF8000000078000000007FC000000078000000003FC0000000F000000000
7436 1FE0000001E0000000000FF0000003C00000000007F800000FC00000000003FE00001F00
7437 0000000001FF8000FE0000000000007FF007FC0000000000001FFFFFF000000000000007
7438 FFFFC000000000000001FFFF00000000000000001FF8000000004D547BD158>I<0000FF
7439 C0000000000FFFF8000000003FFFFE00000000FF00FF80000001F0003FE0000003C0000F
7440 F0000007E00007F8000007F80003FC00000FF80003FE00000FFC0001FE00000FFC0000FF
7441 00000FFC0000FF00000FFC0000FF00000FFC00007F800007F800007F800001E000007F80
7442 00000000007F8000000000007F8000000000007F8000000000007F8000000000007F8000
7443 000000007F80000000003FFF800000000FFFFF80000000FFFC7F80000007FF007F800000
7444 1FF0007F8000007FC0007F800001FF00007F800003FC00007F800007F800007F80000FF0
7445 00007F80001FE000007F80003FE000007F80003FC000007F80007F8000007F80007F8000
7446 007F8070FF8000007F8070FF0000007F8070FF0000007F8070FF000000FF8070FF000000
7447 FF8070FF000000FF8070FF000001FF8070FF800001BF80707F800003BF80707FC000073F
7448 80703FE0000F1FC0E01FF0001E1FC0E00FF8003C0FE1C007FE01F00FFFC001FFFFE007FF
7449 80007FFF8003FE000007FC0000F80034367BB43B>97 D<007F800000000000FFFF800000
7450 000000FFFF800000000000FFFF800000000000FFFF80000000000003FF80000000000000
7451 FF800000000000007F800000000000007F800000000000007F800000000000007F800000
7452 000000007F800000000000007F800000000000007F800000000000007F80000000000000
7453 7F800000000000007F800000000000007F800000000000007F800000000000007F800000
7454 000000007F800000000000007F800000000000007F800000000000007F80000000000000
7455 7F800000000000007F800000000000007F800000000000007F800000000000007F800000
7456 000000007F800000000000007F800000000000007F8007FC000000007F807FFF80000000
7457 7F81FFFFE00000007F87F00FF80000007F8F8001FC0000007F9E0000FF0000007FBC0000
7458 7F8000007FF800003FC000007FF000001FE000007FE000000FF000007FC0000007F00000
7459 7FC0000007F800007F80000003FC00007F80000003FC00007F80000003FE00007F800000
7460 01FE00007F80000001FE00007F80000001FF00007F80000001FF00007F80000000FF0000
7461 7F80000000FF00007F80000000FF80007F80000000FF80007F80000000FF80007F800000
7462 00FF80007F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF8000
7463 7F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF00007F800000
7464 01FF00007F80000001FF00007F80000001FF00007F80000001FE00007F80000001FE0000
7465 7F80000003FC00007F80000003FC00007F80000007F800007FC0000007F800007FC00000
7466 0FF000007FE000000FE000007FF000001FC000007E7800003F8000007E3C00007F000000
7467 7C1E0001FE0000007C0F0003FC0000007807E01FF00000007801FFFFC000000070007FFF
7468 0000000000000FF800000039547DD241>I<00000FFE000000007FFFE0000001FFFFF800
7469 0007F801FE00001FE0001F00003F80000780007F00000FC000FE00003FC001FC00003FE0
7470 03FC00007FE007F800007FE00FF000007FE00FF000007FE01FE000007FE01FE000003FC0
7471 3FE000000F003FC0000000003FC0000000007FC0000000007FC0000000007FC000000000
7472 7F8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000
7473 FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000
7474 7F80000000007FC0000000007FC0000000007FC0000000003FC0000000003FE000000070
7475 1FE0000000701FF0000000F00FF0000000E00FF8000001E007F8000001E003FC000003C0
7476 03FE0000038001FF0000078000FF80000F00003FC0001E00001FE0007C000007FC03F000
7477 0003FFFFE00000007FFF800000000FF800002C367CB434>I<0000000000FF0000000000
7478 01FFFF000000000001FFFF000000000001FFFF000000000001FFFF00000000000007FF00
7479 000000000001FF00000000000000FF00000000000000FF00000000000000FF0000000000
7480 0000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF00
7481 000000000000FF00000000000000FF00000000000000FF00000000000000FF0000000000
7482 0000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF00
7483 000000000000FF00000000000000FF00000000000000FF00000000000000FF0000000000
7484 0000FF00000000000000FF00000000000000FF000000000FF800FF000000007FFF00FF00
7485 000001FFFFE0FF00000007FC03F0FF0000001FE0007CFF0000003FC0003EFF0000007F00
7486 000FFF000000FE000007FF000001FC000003FF000003F8000003FF000007F8000001FF00
7487 000FF0000000FF00000FF0000000FF00001FE0000000FF00001FE0000000FF00003FC000
7488 0000FF00003FC0000000FF00007FC0000000FF00007FC0000000FF00007FC0000000FF00
7489 007F80000000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF0000FF8000
7490 0000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF0000FF80000000FF00
7491 00FF80000000FF0000FF80000000FF0000FF80000000FF00007F80000000FF00007F8000
7492 0000FF00007FC0000000FF00007FC0000000FF00003FC0000000FF00003FC0000000FF00
7493 003FE0000000FF00001FE0000000FF00001FE0000000FF00000FF0000001FF000007F000
7494 0003FF000007F8000003FF000003FC000007FF000001FE00000FFF000000FF00001EFF80
7495 00007F80007CFFE000001FC000F8FFFF80000FF807E0FFFF800003FFFF80FFFF800000FF
7496 FE00FFFF8000001FF000FF000039547CD241>I<00000FF800000000FFFF00000003FFFF
7497 C000000FF80FF000001FC003FC00007F8001FE0000FF0000FF0001FE00007F8003FC0000
7498 3F8003F800001FC007F000001FC00FF000000FE00FE000000FE01FE000000FF01FE00000
7499 07F03FC0000007F03FC0000007F07FC0000007F87FC0000007F87F80000007F87F800000
7500 03F8FF80000003F8FFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF8FF8000000000FF800000
7501 0000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF800000
7502 00007F80000000007FC0000000007FC0000000003FC0000000003FC0000000003FE00000
7503 00381FE0000000381FE0000000780FF00000007007F0000000F007F8000000E003FC0000
7504 01E001FE000003C000FF00000380007F80000F80003FC0001F00000FF0003C000007FE01
7505 F8000001FFFFE00000007FFF8000000007FC00002D367DB434>I<0000007F00000003FF
7506 E000000FFFF000003FC0F800007F01FC0001FE03FE0003FC07FE0003F807FE0007F807FE
7507 000FF007FE000FF007FE001FE003FC001FE001F8001FE00000003FC00000003FC0000000
7508 3FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003F
7509 C00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0
7510 0000003FC00000003FC00000FFFFFFFE00FFFFFFFE00FFFFFFFE00FFFFFFFE00003FC000
7511 00003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000
7512 003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0000000
7513 3FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003F
7514 C00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0
7515 0000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC000
7516 00003FC00000003FC00000003FC00000003FC00000003FE0000000FFF000007FFFFFF800
7517 7FFFFFF8007FFFFFF8007FFFFFF80027547DD324>I<00000000001FC000003FE000FFE0
7518 0001FFFC03FFF00007FFFF07E1F8001FE03FCF01F8003F800FFC03F8007F0007F801F800
7519 FE0003F801F001FC0001FC004003FC0001FE000003F80000FE000007F80000FF000007F8
7520 0000FF000007F000007F00000FF000007F80000FF000007F80000FF000007F80000FF000
7521 007F80000FF000007F80000FF000007F80000FF000007F80000FF000007F800007F00000
7522 7F000007F80000FF000007F80000FF000003F80000FE000003FC0001FE000001FC0001FC
7523 000000FE0003F80000007F0007F00000007F800FE0000000FFE03FC0000001C7FFFF0000
7524 0001C1FFFC00000003803FE0000000038000000000000380000000000003800000000000
7525 038000000000000380000000000003C0000000000003C0000000000003E0000000000003
7526 F0000000000003F8000000000001FFFFFFE0000001FFFFFFFF000000FFFFFFFFC00000FF
7527 FFFFFFF000003FFFFFFFFC00003FFFFFFFFE0000FFFFFFFFFF0003F800001FFF800FE000
7528 0001FFC01FC00000007FC03F800000001FE03F000000000FE07E000000000FE07E000000
7529 0007F0FE0000000007F0FC0000000003F0FC0000000003F0FC0000000003F0FC00000000
7530 03F0FC0000000003F0FE0000000007F07E0000000007E07F000000000FE03F800000001F
7531 C01FC00000003F800FE00000007F0007F0000000FE0003FC000003FC0000FF00000FF000
7532 003FF000FFC000000FFFFFFF00000001FFFFF8000000001FFF800000354E7DB43B>I<00
7533 7F800000000000FFFF800000000000FFFF800000000000FFFF800000000000FFFF800000
7534 00000003FF80000000000000FF800000000000007F800000000000007F80000000000000
7535 7F800000000000007F800000000000007F800000000000007F800000000000007F800000
7536 000000007F800000000000007F800000000000007F800000000000007F80000000000000
7537 7F800000000000007F800000000000007F800000000000007F800000000000007F800000
7538 000000007F800000000000007F800000000000007F800000000000007F80000000000000
7539 7F800000000000007F800000000000007F800000000000007F800000000000007F8007FC
7540 000000007F803FFF800000007F80FFFFE00000007F81F00FF80000007F83C007FC000000
7541 7F870003FE0000007F8E0001FE0000007F9C0000FF0000007FB80000FF0000007FB00000
7542 FF0000007FF000007F8000007FE000007F8000007FE000007F8000007FC000007F800000
7543 7FC000007F8000007FC000007F8000007F8000007F8000007F8000007F8000007F800000
7544 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7545 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7546 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7547 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7548 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7549 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7550 7F8000007F8000007F800001FFE00001FFE000FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FF
7551 FFFFC0FFFFFFC0FFFFFFC0FFFFFFC03A537CD241>I<0078000001FE000003FF000007FF
7552 800007FF800007FF800007FF800007FF800007FF800003FF000001FE0000007800000000
7553 000000000000000000000000000000000000000000000000000000000000000000000000
7554 0000000000000000000000000000000000000000000000000000007F8000FFFF8000FFFF
7555 8000FFFF8000FFFF800003FF800000FF8000007F8000007F8000007F8000007F8000007F
7556 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F
7557 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F
7558 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F
7559 8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800001FF
7560 E000FFFFFF80FFFFFF80FFFFFF80FFFFFF8019507CCF21>I<0000078000001FE000003F
7561 F000007FF800007FF800007FF800007FF800007FF800007FF800003FF000001FE0000007
7562 800000000000000000000000000000000000000000000000000000000000000000000000
7563 000000000000000000000000000000000000000000000000000000000000000FF8001FFF
7564 F8001FFFF8001FFFF8001FFFF800003FF800000FF800000FF8000007F8000007F8000007
7565 F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007
7566 F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007
7567 F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007
7568 F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007
7569 F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007
7570 F8000007F8000007F8000007F8000007F8000007F8000007F80C0007F83F0007F07F800F
7571 F0FFC00FF0FFC00FE0FFC01FE0FFC01FC0FFC03F807F803F807F007F003F00FC001FFFF8
7572 0007FFE00000FF00001D6885CF24>I<007F8000FFFF8000FFFF8000FFFF8000FFFF8000
7573 03FF800000FF8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7574 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7575 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7576 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7577 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7578 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7579 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7580 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7581 007F800001FFE000FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC01A537CD221>108
7582 D<00FF0007FE000003FF000000FFFF001FFFC0000FFFE00000FFFF007FFFF0003FFFF800
7583 00FFFF01F80FFC00FC07FE0000FFFF03C003FE01E001FF000003FF070001FE038000FF00
7584 0000FF0E0000FF0700007F8000007F1C00007F8E00003FC000007F3800007F9C00003FC0
7585 00007F3800007F9C00003FC000007F7000003FF800001FE000007F6000003FF000001FE0
7586 00007FE000003FF000001FE000007FC000003FE000001FE000007FC000003FE000001FE0
7587 00007FC000003FE000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7588 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7589 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7590 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7591 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7592 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7593 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7594 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7595 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7596 00007F8000003FC000001FE000007F8000003FC000001FE000007F8000003FC000001FE0
7597 00007F8000003FC000001FE000007F8000003FC000001FE00001FFE00000FFF000007FF8
7598 00FFFFFFC07FFFFFE03FFFFFF0FFFFFFC07FFFFFE03FFFFFF0FFFFFFC07FFFFFE03FFFFF
7599 F0FFFFFFC07FFFFFE03FFFFFF05C347CB363>I<00FF0007FC000000FFFF003FFF800000
7600 FFFF00FFFFE00000FFFF01F00FF80000FFFF03C007FC000003FF070003FE000000FF0E00
7601 01FE0000007F1C0000FF0000007F380000FF0000007F300000FF0000007F7000007F8000
7602 007F6000007F8000007FE000007F8000007FC000007F8000007FC000007F8000007FC000
7603 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7604 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7605 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7606 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7607 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7608 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7609 007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000
7610 01FFE00001FFE000FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0
7611 FFFFFFC03A347CB341>I<00000FFC00000000007FFF8000000001FFFFE000000007F807
7612 F80000001FE001FE0000003F80007F0000007E00001F800000FC00000FC00001F8000007
7613 E00003F8000007F00007F0000003F80007F0000003F8000FE0000001FC000FE0000001FC
7614 001FC0000000FE001FC0000000FE003FC0000000FF003FC0000000FF007F800000007F80
7615 7F800000007F807F800000007F807F800000007F80FF800000007FC0FF800000007FC0FF
7616 800000007FC0FF800000007FC0FF800000007FC0FF800000007FC0FF800000007FC0FF80
7617 0000007FC0FF800000007FC0FF800000007FC0FF800000007FC07F800000007F807F8000
7618 00007F807FC0000000FF807FC0000000FF803FC0000000FF003FC0000000FF001FC00000
7619 00FE001FE0000001FE000FE0000001FC000FF0000003FC0007F0000003F80003F8000007
7620 F00001FC00000FE00001FC00000FE000007F00003F8000003F80007F0000001FE001FE00
7621 000007F807F800000003FFFFF0000000007FFF80000000000FFC00000032367CB43B>I<
7622 007F8007FC000000FFFF807FFF800000FFFF81FFFFE00000FFFF87F00FF80000FFFF8F80
7623 03FC000001FF9E0001FF000000FFBC0000FF8000007FF800007FC000007FF000003FE000
7624 007FE000001FF000007FC000000FF000007FC000000FF800007F80000007FC00007F8000
7625 0007FC00007F80000003FE00007F80000003FE00007F80000003FE00007F80000001FF00
7626 007F80000001FF00007F80000001FF00007F80000001FF00007F80000000FF80007F8000
7627 0000FF80007F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF80
7628 007F80000000FF80007F80000000FF80007F80000000FF80007F80000000FF80007F8000
7629 0000FF80007F80000001FF00007F80000001FF00007F80000001FF00007F80000001FF00
7630 007F80000003FE00007F80000003FE00007F80000007FC00007F80000007FC00007F8000
7631 0007F800007FC000000FF800007FC000001FF000007FE000001FE000007FF000003FC000
7632 007FF800007F8000007FBC0000FF0000007F9E0001FE0000007F8F0007FC0000007F87E0
7633 1FF00000007F81FFFFC00000007F807FFF000000007F800FF8000000007F800000000000
7634 007F800000000000007F800000000000007F800000000000007F800000000000007F8000
7635 00000000007F800000000000007F800000000000007F800000000000007F800000000000
7636 007F800000000000007F800000000000007F800000000000007F800000000000007F8000
7637 00000000007F800000000000007F80000000000001FFE00000000000FFFFFFC000000000
7638 FFFFFFC000000000FFFFFFC000000000FFFFFFC000000000394B7DB341>I<00FF001F80
7639 FFFF007FF0FFFF01FFF8FFFF03E1FCFFFF0783FE03FF0F07FE00FF1E07FE007F1C07FE00
7640 7F3807FE007F3007FE007F7003FC007F6000F0007F600000007FE00000007FC00000007F
7641 C00000007FC00000007FC00000007F800000007F800000007F800000007F800000007F80
7642 0000007F800000007F800000007F800000007F800000007F800000007F800000007F8000
7643 00007F800000007F800000007F800000007F800000007F800000007F800000007F800000
7644 007F800000007F800000007F800000007F800000007F800000007F800000007F80000000
7645 7F800000007F800000007FC0000001FFE00000FFFFFFF000FFFFFFF000FFFFFFF000FFFF
7646 FFF00027347DB32E>114 D<0007FE00C0007FFF81C001FFFFE3C007F803FFC00FC0007F
7647 C01F80003FC03F00001FC03E00000FC07E000007C07C000007C0FC000003C0FC000003C0
7648 FC000003C0FC000001C0FE000001C0FE000001C0FF000001C0FF800001C07FC00000007F
7649 F00000007FFF0000003FFFF800001FFFFF80000FFFFFE00007FFFFF80003FFFFFE0000FF
7650 FFFF00003FFFFF800007FFFFC000003FFFE0000003FFE00000007FF00000001FF0E00000
7651 0FF0E0000007F8E0000007F8F0000003F8F0000003F8F0000001F8F8000001F8F8000001
7652 F8F8000001F8FC000001F0FC000001F0FE000003F0FF000003E0FF000007E0FF80000FC0
7653 FFC0001F80FDF0003F00F8FC01FE00F07FFFF800E01FFFE000C003FF000025367CB42E>
7654 I<0001C000000001C000000001C000000001C000000001C000000001C000000001C00000
7655 0003C000000003C000000003C000000003C000000007C000000007C000000007C0000000
7656 0FC00000000FC00000001FC00000001FC00000003FC00000007FC0000000FFC0000001FF
7657 C0000003FFC000001FFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0003FC00000003FC0
7658 0000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC000
7659 00003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000
7660 003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0000000
7661 3FC00000003FC00000003FC00038003FC00038003FC00038003FC00038003FC00038003F
7662 C00038003FC00038003FC00038003FC00038003FC00038003FC00038003FC00038003FE0
7663 0078001FE00070001FE00070000FF000F0000FF000E00007F801E00003FC03C00001FE07
7664 800000FFFF0000003FFC00000007F000254B7EC92E>I<007F8000007F8000FFFF8000FF
7665 FF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF800003FF800003FF800000
7666 FF800000FF8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7667 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7668 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7669 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7670 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7671 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7672 7F8000007F8000007F8000007F8000007F8000007F8000007F8000007F8000007F800000
7673 FF8000007F800000FF8000007F800000FF8000007F800001FF8000007F800001FF800000
7674 7F800001FF8000003F800003FF8000003FC000077F8000003FC000077F8000001FC0000E
7675 7FC000000FE0001C7FF000000FF000787FFFC00003FC01F07FFFC00001FFFFE07FFFC000
7676 007FFF807FFFC0000007FC007F80003A357CB341>I<FFFFFF0003FFFF80FFFFFF0003FF
7677 FF80FFFFFF0003FFFF80FFFFFF0003FFFF8003FFF000007FF80000FFC000003FE000007F
7678 C000001F8000007FC000001F0000003FC000001F0000003FC000001E0000001FE000001E
7679 0000001FE000001C0000001FF000003C0000000FF00000380000000FF00000380000000F
7680 F800007800000007F800007000000007FC00007000000003FC0000E000000003FC0000E0
7681 00000003FE0001E000000001FE0001C000000001FF0001C000000000FF00038000000000
7682 FF00038000000000FF800780000000007F800700000000007FC00700000000003FC00E00
7683 000000003FC00E00000000003FE01E00000000001FE01C00000000001FE01C0000000000
7684 0FF03800000000000FF03800000000000FF878000000000007F870000000000007F87000
7685 0000000003FCE0000000000003FCE0000000000003FFE0000000000001FFC00000000000
7686 01FFC0000000000000FF80000000000000FF80000000000000FF800000000000007F0000
7687 00000000007F000000000000003E000000000000003E000000000000003E000000000000
7688 001C0000000039347EB23E>I<FFFFFF07FFFFF007FFFFFFFFFF07FFFFF007FFFFFFFFFF
7689 07FFFFF007FFFFFFFFFF07FFFFF007FFFF03FFE0001FFE0000FFF001FF80000FF800007F
7690 C000FF800007F800003F8000FF800007F800001F00007F800003F800001E00007F800003
7691 F800001E00003FC00003FC00001E00003FC00003FC00001C00003FC00003FC00001C0000
7692 1FE00007FE00003800001FE00007FE00003800001FF00007FF00007800000FF0000E7F00
7693 007000000FF0000E7F00007000000FF8000E7F8000F0000007F8001C3F8000E0000007F8
7694 001C3F8000E0000007FC001C3FC001E0000003FC00381FC001C0000003FC00381FC001C0
7695 000003FE00781FE003C0000001FE00700FE00380000001FE00700FE00380000001FF00F0
7696 0FF00780000000FF00E007F00700000000FF00E007F007000000007F81E007F80E000000
7697 007F81C003F80E000000007F81C003F80E000000003FC3C003FC1C000000003FC38001FC
7698 1C000000003FC38001FC1C000000001FE78001FE38000000001FE70000FE38000000001F
7699 E70000FE38000000000FFE00007F70000000000FFE00007F70000000000FFE00007FF000
7700 00000007FC00003FE00000000007FC00003FE00000000007FC00003FE00000000003F800
7701 001FC00000000003F800001FC00000000003F800001FC00000000001F000000F80000000
7702 0001F000000F800000000001F000000F800000000000E000000700000050347EB255>I<
7703 FFFFFF0003FFFF80FFFFFF0003FFFF80FFFFFF0003FFFF80FFFFFF0003FFFF8003FFF000
7704 007FF80000FFC000003FE000007FC000001F8000007FC000001F0000003FC000001F0000
7705 003FE000001E0000001FE000001E0000001FE000001C0000001FF000003C0000000FF000
7706 00380000000FF800003800000007F800007000000007F800007000000007FC0000F00000
7707 0003FC0000E000000003FE0000E000000001FE0001C000000001FE0001C000000001FF00
7708 03C000000000FF00038000000000FF800380000000007F800700000000007F8007000000
7709 00007FC00F00000000003FC00E00000000003FE00E00000000001FE01C00000000001FE0
7710 1C00000000001FF03C00000000000FF03800000000000FF838000000000007F870000000
7711 000007F870000000000007FCF0000000000003FCE0000000000003FEE0000000000001FF
7712 C0000000000001FFC0000000000001FFC0000000000000FF80000000000000FF80000000
7713 0000007F000000000000007F000000000000007F000000000000003E000000000000003E
7714 000000000000001C000000000000001C000000000000003C000000000000003800000000
7715 000000780000000000000070000000000000007000000000000000F000000000000000E0
7716 00000000000001E000000000000001C000000000000001C0000000003E00038000000000
7717 7F00038000000000FF80070000000000FF80070000000000FF800E0000000000FF801E00
7718 00000000FF003C00000000007F007800000000007C00F000000000003F03E00000000000
7719 1FFFC0000000000007FF80000000000001FC000000000000394B7EB23E>121
7720 D<0F00003C003FC000FF007FC000FF80FFE001FFC0FFE001FFC0FFE001FFC0FFE001FFC0
7721 FFE001FFC07FC000FF803FC000FF000F00003C00220B74CF3B>127
7722 D E /Ft 56 128 df<FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFF
7723 FFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFF
7724 FFFFC0FFFFFFFFFFC0FFFFFFFFFFC02A0D7EA636>45 D<0000000FFF00000000000001FF
7725 FFF800000000000FFFFFFF00000000003FFFFFFFC000000000FFFFFFFFF000000001FFFC
7726 03FFF800000007FFF000FFFE0000000FFFC0003FFF0000001FFF00000FFF8000003FFE00
7727 0007FFC000007FFE000007FFE00000FFFC000003FFF00000FFF8000001FFF00001FFF800
7728 0001FFF80003FFF0000000FFFC0003FFF0000000FFFC0007FFF0000000FFFE0007FFE000
7729 00007FFE000FFFE00000007FFF000FFFE00000007FFF000FFFE00000007FFF001FFFE000
7730 00007FFF801FFFE00000007FFF801FFFE00000007FFF803FFFE00000007FFFC03FFFC000
7731 00003FFFC03FFFC00000003FFFC03FFFC00000003FFFC07FFFC00000003FFFE07FFFC000
7732 00003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC000
7733 00003FFFE07FFFC00000003FFFE0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7734 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7735 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7736 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7737 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7738 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC000
7739 00003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF0FFFFC00000003FFFF07FFFC000
7740 00003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC00000003FFFE07FFFC000
7741 00003FFFE07FFFC00000003FFFE07FFFC00000003FFFE03FFFC00000003FFFC03FFFC000
7742 00003FFFC03FFFE00000007FFFC03FFFE00000007FFFC01FFFE00000007FFF801FFFE000
7743 00007FFF801FFFE00000007FFF800FFFE00000007FFF000FFFE00000007FFF000FFFE000
7744 00007FFF0007FFF0000000FFFE0007FFF0000000FFFE0003FFF0000000FFFC0003FFF000
7745 0000FFFC0001FFF8000001FFF80000FFF8000001FFF00000FFFC000003FFF000007FFE00
7746 0007FFE000003FFF00000FFFC000001FFF80001FFF8000000FFFC0003FFF00000007FFF0
7747 00FFFE00000003FFFC03FFFC00000000FFFFFFFFF0000000003FFFFFFFC0000000000FFF
7748 FFFF000000000001FFFFF80000000000001FFF8000000044607ADD51>48
7749 D<00000000F000000000000001F800000000000007F80000000000001FF8000000000000
7750 3FF8000000000001FFF8000000000007FFF800000000007FFFF8000000000FFFFFF80000
7751 00FFFFFFFFF8000000FFFFFFFFF8000000FFFFFFFFF8000000FFFFFFFFF8000000FFFF87
7752 FFF8000000FFF007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7753 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7754 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7755 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7756 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7757 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7758 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7759 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7760 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7761 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7762 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7763 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7764 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7765 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7766 FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007FFF80000
7767 00000007FFF8000000000007FFF8000000000007FFF8000000000007FFF8000000000007
7768 FFF8000000000007FFF8000000000007FFF80000007FFFFFFFFFFFFF807FFFFFFFFFFFFF
7769 807FFFFFFFFFFFFF807FFFFFFFFFFFFF807FFFFFFFFFFFFF807FFFFFFFFFFFFF80395E74
7770 DD51>I<000001FFF800000000001FFFFFC000000000FFFFFFF800000003FFFFFFFF0000
7771 000FFFFFFFFFC000003FFFFFFFFFE000007FFC01FFFFF80000FFE0003FFFFC0001FF0000
7772 0FFFFE0003FE000007FFFF0007F8000003FFFF800FF0000001FFFFC01FE0000000FFFFE0
7773 3FC00000007FFFF03FFC0000007FFFF87FFE0000003FFFF87FFF0000003FFFFC7FFF8000
7774 001FFFFCFFFFC000001FFFFEFFFFC000000FFFFEFFFFE000000FFFFEFFFFE000000FFFFE
7775 FFFFE000000FFFFFFFFFE000000FFFFFFFFFE0000007FFFFFFFFE0000007FFFFFFFFE000
7776 0007FFFF7FFFC0000007FFFF7FFFC0000007FFFF3FFF80000007FFFF1FFF00000007FFFF
7777 07FC0000000FFFFF01F00000000FFFFF00000000000FFFFE00000000000FFFFE00000000
7778 000FFFFE00000000001FFFFC00000000001FFFFC00000000001FFFF800000000003FFFF8
7779 00000000003FFFF000000000007FFFE000000000007FFFE00000000000FFFFC000000000
7780 00FFFF800000000001FFFF000000000003FFFE000000000003FFFC000000000007FFF800
7781 000000000FFFF000000000000FFFE000000000001FFF8000000000003FFF000000000000
7782 7FFE000000000000FFFC000000000001FFF0000000000001FFE0000000000003FF800000
7783 00000007FF0000000000000FFE0000000000001FF80000000000003FF00000000000007F
7784 E0000000000000FFC000003F000001FF8000003F000003FE0000003F000007FC0000003F
7785 00000FF80000007E00001FF00000007E00003FE00000007E00007F800000007E00007F00
7786 0000007E0000FE00000000FE0001FC00000000FE0003F800000000FE0007F000000001FC
7787 000FC000000007FC001FFFFFFFFFFFFC003FFFFFFFFFFFFC007FFFFFFFFFFFFC00FFFFFF
7788 FFFFFFFC01FFFFFFFFFFFFFC03FFFFFFFFFFFFF807FFFFFFFFFFFFF80FFFFFFFFFFFFFF8
7789 1FFFFFFFFFFFFFF83FFFFFFFFFFFFFF87FFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFF
7790 FFFFFFF8FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF0
7791 405E78DD51>I<000000FFFF0000000000000FFFFFF800000000003FFFFFFF0000000001
7792 FFFFFFFFC000000003FFFFFFFFF00000000FFFC01FFFFC0000001FFC0007FFFE0000003F
7793 E00001FFFF0000007FC00000FFFF800000FF0000007FFFC00001FE0000007FFFE00003FF
7794 0000003FFFF00003FFC000003FFFF00007FFE000003FFFF80007FFF000001FFFF80007FF
7795 F800001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFF
7796 FC00001FFFFC000FFFFE00001FFFFC000FFFFC00001FFFFC000FFFFC00001FFFFC000FFF
7797 FC00001FFFFC0007FFFC00003FFFFC0007FFF800003FFFF80003FFF000003FFFF80001FF
7798 E000003FFFF80000FFC000003FFFF000001F0000007FFFF00000000000007FFFE0000000
7799 0000007FFFE0000000000000FFFFC0000000000000FFFF80000000000001FFFF00000000
7800 000001FFFE00000000000003FFFC00000000000007FFF80000000000000FFFF000000000
7801 00001FFFE00000000000007FFF8000000000000FFFFE00000000000FFFFFF80000000000
7802 0FFFFFE000000000000FFFFF0000000000000FFFFFF800000000000FFFFFFF0000000000
7803 00003FFFE000000000000007FFF800000000000001FFFE00000000000000FFFF00000000
7804 0000007FFF800000000000003FFFE00000000000003FFFF00000000000001FFFF8000000
7805 0000001FFFF80000000000000FFFFC0000000000000FFFFE0000000000000FFFFE000000
7806 0000000FFFFF00000000000007FFFF00000000000007FFFF80000000000007FFFF800000
7807 00000007FFFF80000000000007FFFFC003FC00000007FFFFC00FFF00000007FFFFC01FFF
7808 80000007FFFFC03FFFC0000007FFFFC07FFFE0000007FFFFC07FFFE0000007FFFFC0FFFF
7809 F0000007FFFFC0FFFFF0000007FFFFC0FFFFF0000007FFFFC0FFFFF0000007FFFF80FFFF
7810 F0000007FFFF80FFFFF0000007FFFF80FFFFF000000FFFFF00FFFFE000000FFFFF007FFF
7811 E000000FFFFF007FFFC000000FFFFE007FFFC000001FFFFE003FFF8000001FFFFC003FFE
7812 0000003FFFF8001FF80000003FFFF0000FF80000007FFFF00007FE000000FFFFE00003FF
7813 800001FFFF800001FFF00007FFFF000000FFFF803FFFFE0000007FFFFFFFFFFC0000001F
7814 FFFFFFFFF000000007FFFFFFFFC000000001FFFFFFFE00000000001FFFFFF00000000000
7815 01FFFE00000000426079DD51>I<0000000000001F80000000000000003FC00000000000
7816 00007FC000000000000000FFC000000000000000FFC000000000000001FFC00000000000
7817 0003FFC000000000000007FFC00000000000000FFFC00000000000000FFFC00000000000
7818 001FFFC00000000000003FFFC00000000000007FFFC00000000000007FFFC00000000000
7819 00FFFFC0000000000001FFFFC0000000000003FFFFC0000000000007FFFFC00000000000
7820 07FFFFC000000000000FFFFFC000000000001FFFFFC000000000003FBFFFC00000000000
7821 7F3FFFC000000000007F3FFFC00000000000FE3FFFC00000000001FC3FFFC00000000003
7822 F83FFFC00000000007F03FFFC00000000007F03FFFC0000000000FE03FFFC0000000001F
7823 C03FFFC0000000003F803FFFC0000000003F003FFFC0000000007F003FFFC000000000FE
7824 003FFFC000000001FC003FFFC000000003F8003FFFC000000003F8003FFFC000000007F0
7825 003FFFC00000000FE0003FFFC00000001FC0003FFFC00000003F80003FFFC00000003F80
7826 003FFFC00000007F00003FFFC0000000FE00003FFFC0000001FC00003FFFC0000001F800
7827 003FFFC0000003F800003FFFC0000007F000003FFFC000000FE000003FFFC000001FC000
7828 003FFFC000001F8000003FFFC000003F8000003FFFC000007F0000003FFFC00000FE0000
7829 003FFFC00001FC0000003FFFC00001FC0000003FFFC00003F80000003FFFC00007F00000
7830 003FFFC0000FE00000003FFFC0000FC00000003FFFC0001FC00000003FFFC0003F800000
7831 003FFFC0007F000000003FFFC000FE000000003FFFC000FFFFFFFFFFFFFFFFFFFFFFFFFF
7832 FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
7833 FFFFFFFFFF00000000007FFFC00000000000007FFFC00000000000007FFFC00000000000
7834 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000
7835 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000
7836 007FFFC00000000000007FFFC00000000000007FFFC00000000000007FFFC00000000000
7837 007FFFC00000000000007FFFC0000000007FFFFFFFFFFF0000007FFFFFFFFFFF0000007F
7838 FFFFFFFFFF0000007FFFFFFFFFFF0000007FFFFFFFFFFF0000007FFFFFFFFFFF485E7CDD
7839 51>I<00C00000000001C001F8000000000FC001FF000000007FC001FFF0000007FFC001
7840 FFFF8000FFFFC001FFFFFFFFFFFF8001FFFFFFFFFFFF0001FFFFFFFFFFFE0001FFFFFFFF
7841 FFFC0001FFFFFFFFFFF80001FFFFFFFFFFF00001FFFFFFFFFFE00001FFFFFFFFFFC00001
7842 FFFFFFFFFF800001FFFFFFFFFF000001FFFFFFFFFC000001FFFFFFFFF8000001FFFFFFFF
7843 E0000001FFFFFFFF80000001FFFFFFFC00000001FFFFFFE000000001FC3FFC0000000001
7844 FC00000000000001FC00000000000001FC00000000000001FC00000000000001FC000000
7845 00000001FC00000000000001FC00000000000001FC00000000000001FC00000000000001
7846 FC00000000000001FC00000000000001FC00000000000001FC00000000000001FC003FFE
7847 00000001FC03FFFFF0000001FC0FFFFFFE000001FC3FFFFFFF800001FCFFFFFFFFE00001
7848 FDFFE00FFFF00001FFFE0003FFF80001FFF80000FFFC0001FFE000007FFF0001FF800000
7849 3FFF8001FF0000003FFF8001FE0000001FFFC001FC0000001FFFE001FC0000000FFFF000
7850 F00000000FFFF000000000000FFFF800000000000FFFF800000000000FFFFC0000000000
7851 07FFFC000000000007FFFC000000000007FFFE000000000007FFFE000000000007FFFE00
7852 0000000007FFFE000000000007FFFF000000000007FFFF000000000007FFFF03F0000000
7853 07FFFF0FFC00000007FFFF1FFE00000007FFFF3FFF00000007FFFF7FFF80000007FFFF7F
7854 FF80000007FFFFFFFFC0000007FFFFFFFFC0000007FFFFFFFFC0000007FFFFFFFFC00000
7855 07FFFEFFFFC0000007FFFEFFFFC0000007FFFEFFFF80000007FFFEFFFF8000000FFFFC7F
7856 FF0000000FFFFC7FFE0000000FFFFC7FFC0000000FFFF83FF00000000FFFF83F80000000
7857 1FFFF03FC00000001FFFE01FC00000003FFFE00FE00000003FFFC00FF00000007FFF8007
7858 FC000000FFFF0003FE000001FFFE0001FF800007FFFC0000FFE0001FFFF800007FFE00FF
7859 FFF000003FFFFFFFFFC000000FFFFFFFFF00000007FFFFFFFC00000001FFFFFFF0000000
7860 003FFFFF800000000003FFF0000000406078DD51>I<000000001FFF00000000000003FF
7861 FFE000000000001FFFFFF80000000000FFFFFFFE0000000003FFFFFFFF0000000007FFFC
7862 03FF800000001FFFC0007FC00000003FFF00001FE0000000FFFC00000FF0000001FFF800
7863 0007F0000003FFF000007FF8000007FFE00000FFF800000FFFC00001FFF800001FFF8000
7864 03FFFC00003FFF000003FFFC00007FFF000007FFFC00007FFE000007FFFC0000FFFE0000
7865 07FFFC0001FFFC000007FFFC0001FFFC000007FFFC0003FFFC000007FFFC0003FFF80000
7866 03FFF80007FFF8000003FFF80007FFF8000001FFF0000FFFF0000000FFE0000FFFF00000
7867 007FC0001FFFF00000000000001FFFF00000000000001FFFF00000000000003FFFF00000
7868 000000003FFFF00000000000003FFFF00000000000003FFFE00000000000007FFFE001FF
7869 E00000007FFFE00FFFFE0000007FFFE03FFFFF8000007FFFE07FFFFFE000007FFFE0FFFF
7870 FFF800007FFFE1FE03FFFC0000FFFFE3F0007FFE0000FFFFE7E0003FFF0000FFFFEFC000
7871 1FFF8000FFFFEF80000FFFC000FFFFFF000007FFE000FFFFFE000007FFF000FFFFFE0000
7872 03FFF800FFFFFC000003FFFC00FFFFFC000003FFFC00FFFFF8000003FFFE00FFFFF80000
7873 01FFFE00FFFFF8000001FFFF00FFFFF8000001FFFF00FFFFF0000001FFFF80FFFFF00000
7874 01FFFF80FFFFF0000001FFFF80FFFFF0000001FFFF80FFFFF0000001FFFF80FFFFE00000
7875 01FFFFC0FFFFE0000001FFFFC0FFFFE0000001FFFFC07FFFE0000001FFFFC07FFFE00000
7876 01FFFFC07FFFE0000001FFFFC07FFFE0000001FFFFC07FFFE0000001FFFFC07FFFE00000
7877 01FFFFC07FFFE0000001FFFFC03FFFE0000001FFFFC03FFFE0000001FFFFC03FFFE00000
7878 01FFFFC03FFFE0000001FFFFC01FFFE0000001FFFFC01FFFF0000001FFFF801FFFF00000
7879 01FFFF800FFFF0000001FFFF800FFFF0000001FFFF800FFFF0000001FFFF0007FFF00000
7880 01FFFF0007FFF0000003FFFE0003FFF0000003FFFE0003FFF8000003FFFC0001FFF80000
7881 03FFFC0001FFFC000003FFF80000FFFC000007FFF000007FFE000007FFF000003FFE0000
7882 0FFFE000001FFF00001FFFC000000FFFC0003FFF80000007FFE000FFFF00000003FFFC07
7883 FFFC00000001FFFFFFFFF800000000FFFFFFFFF0000000003FFFFFFFC0000000000FFFFF
7884 FF000000000001FFFFF80000000000001FFF80000000426079DD51>I<07E00000000000
7885 00000FE0000000000000000FF0000000000000000FFC000000000000000FFFFC00000000
7886 00000FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFF
7887 FFF81FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF01FFFFFFFFFFFFF
7888 FFE01FFFFFFFFFFFFFFFC01FFFFFFFFFFFFFFF801FFFFFFFFFFFFFFF001FFFFFFFFFFFFF
7889 FF003FFFFFFFFFFFFFFE003FFFFFFFFFFFFFFC003FFFFFFFFFFFFFF8003FFFFFFFFFFFFF
7890 F0003FFFFFFFFFFFFFE0003FE0000000003FE0003F80000000007FC0007F0000000000FF
7891 80007F0000000001FF00007F0000000001FE00007E0000000003FC00007E0000000007FC
7892 00007E000000000FF800007E000000001FF000007E000000003FE00000FC000000003FC0
7893 0000FC000000007F800000FC00000000FF800000FC00000001FF0000000000000003FE00
7894 00000000000003FC0000000000000007F8000000000000000FF8000000000000001FF000
7895 0000000000001FE0000000000000003FE0000000000000007FC000000000000000FFC000
7896 000000000000FF8000000000000001FF8000000000000001FF0000000000000003FF0000
7897 000000000007FF0000000000000007FE000000000000000FFE000000000000000FFE0000
7898 00000000001FFC000000000000001FFC000000000000003FFC000000000000003FFC0000
7899 00000000007FF8000000000000007FF800000000000000FFF800000000000000FFF80000
7900 0000000000FFF800000000000001FFF000000000000001FFF000000000000003FFF00000
7901 0000000003FFF000000000000003FFF000000000000007FFF000000000000007FFF00000
7902 0000000007FFF000000000000007FFF00000000000000FFFE00000000000000FFFE00000
7903 000000000FFFE00000000000000FFFE00000000000001FFFE00000000000001FFFE00000
7904 000000001FFFE00000000000001FFFE00000000000001FFFE00000000000001FFFE00000
7905 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000
7906 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000
7907 000000003FFFE00000000000003FFFE00000000000003FFFE00000000000003FFFE00000
7908 000000003FFFE00000000000001FFFC00000000000001FFFC00000000000000FFF800000
7909 0000000003FE0000000000000001FC0000000000456377E051>I<0000003FFF80000000
7910 000003FFFFFC00000000001FFFFFFF80000000007FFFFFFFE000000001FFFFFFFFF80000
7911 0003FFF007FFFC0000000FFF00007FFE0000001FFC00001FFF0000003FF000000FFF8000
7912 007FE0000003FFC00000FFC0000003FFE00000FFC0000001FFF00001FF80000000FFF000
7913 01FF80000000FFF80003FF000000007FF80003FF000000007FF80007FF000000007FFC00
7914 07FF000000003FFC0007FF000000003FFC000FFF000000003FFC000FFF800000003FFC00
7915 0FFF800000003FFC000FFF800000003FFC000FFFC00000003FFC000FFFE00000003FFC00
7916 0FFFF00000007FFC000FFFF80000007FF8000FFFFE0000007FF8000FFFFF8000007FF800
7917 0FFFFFC00000FFF00007FFFFF00000FFF00007FFFFFC0001FFE00007FFFFFF0003FFC000
7918 03FFFFFF8003FFC00003FFFFFFE007FF800001FFFFFFF80FFF000001FFFFFFFE1FFE0000
7919 00FFFFFFFF7FF8000000FFFFFFFFFFF00000007FFFFFFFFFC00000003FFFFFFFFF800000
7920 001FFFFFFFFE000000000FFFFFFFFF8000000007FFFFFFFFE000000001FFFFFFFFF00000
7921 0000FFFFFFFFFC000000003FFFFFFFFE000000007FFFFFFFFF00000001FFFFFFFFFF8000
7922 0007FFFFFFFFFFC000000FFFFFFFFFFFE000003FFE3FFFFFFFF000007FFC0FFFFFFFF800
7923 00FFF003FFFFFFFC0001FFE000FFFFFFFC0003FFC0007FFFFFFE0007FF80001FFFFFFE00
7924 0FFF000007FFFFFF000FFF000001FFFFFF001FFE000000FFFFFF803FFE0000003FFFFF80
7925 3FFC0000000FFFFF807FFC00000007FFFFC07FF800000001FFFFC07FF8000000007FFFC0
7926 7FF8000000003FFFC0FFF8000000001FFFC0FFF0000000001FFFC0FFF0000000000FFFC0
7927 FFF00000000007FFC0FFF00000000007FFC0FFF00000000007FFC0FFF00000000003FFC0
7928 FFF00000000003FFC0FFF00000000003FF80FFF00000000003FF80FFF80000000003FF80
7929 7FF80000000003FF007FF80000000007FF007FFC0000000007FF003FFC0000000007FE00
7930 3FFE000000000FFE001FFE000000000FFC001FFF000000001FF8000FFF800000003FF800
7931 07FFC00000007FF00003FFF0000000FFE00001FFFC000003FFC00000FFFF00001FFF8000
7932 007FFFF001FFFE0000003FFFFFFFFFFC0000000FFFFFFFFFF000000003FFFFFFFFE00000
7933 0000FFFFFFFF00000000000FFFFFF80000000000007FFF00000000426079DD51>I<0000
7934 003FFF00000000000007FFFFF000000000003FFFFFFC0000000000FFFFFFFF0000000003
7935 FFFFFFFFC000000007FFF807FFE00000000FFFC001FFF80000003FFF80007FFC0000007F
7936 FE00003FFE000000FFFC00001FFF000001FFFC00001FFF800003FFF800000FFF800003FF
7937 F8000007FFC00007FFF0000007FFE0000FFFF0000007FFE0001FFFF0000003FFF0001FFF
7938 F0000003FFF8003FFFF0000003FFF8003FFFE0000003FFF8003FFFE0000003FFFC007FFF
7939 E0000003FFFC007FFFE0000003FFFE007FFFE0000001FFFE007FFFE0000001FFFE00FFFF
7940 E0000001FFFF00FFFFE0000001FFFF00FFFFE0000001FFFF00FFFFE0000001FFFF00FFFF
7941 E0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFF
7942 E0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFF80FFFFE0000001FFFFC0FFFF
7943 E0000001FFFFC0FFFFE0000001FFFFC0FFFFE0000003FFFFC07FFFE0000003FFFFC07FFF
7944 E0000003FFFFC07FFFE0000003FFFFC07FFFE0000003FFFFC03FFFE0000007FFFFC03FFF
7945 E0000007FFFFC01FFFE0000007FFFFC01FFFF0000007FFFFC00FFFF000000FFFFFC00FFF
7946 F000000FFFFFC007FFF000001FFFFFC003FFF800001FFFFFC001FFF800003FFFFFC000FF
7947 FC00007DFFFFC0007FFE0000FDFFFFC0003FFF0001F9FFFFC0001FFF8003F1FFFFC0000F
7948 FFF01FE1FFFFC00007FFFFFFC1FFFF800001FFFFFF81FFFF8000007FFFFF01FFFF800000
7949 1FFFFC01FFFF80000001FFE001FFFF80000000000001FFFF80000000000001FFFF000000
7950 00000001FFFF00000000000003FFFF00000000000003FFFF00000000000003FFFE000000
7951 00000003FFFE00000000000003FFFE0000FF80000003FFFC0001FFC0000003FFFC0003FF
7952 E0000007FFF80007FFF0000007FFF80007FFF0000007FFF8000FFFF8000007FFF0000FFF
7953 F800000FFFF0000FFFF800000FFFE0000FFFF800000FFFC0000FFFF800001FFFC0000FFF
7954 F800001FFF80000FFFF000003FFF00000FFFF000007FFE000007FFE000007FFE000007FF
7955 C00000FFFC000007FF800003FFF8000003FC000007FFF0000001FE00001FFFC0000001FF
7956 C0007FFF80000000FFF803FFFF000000007FFFFFFFFC000000003FFFFFFFF8000000000F
7957 FFFFFFE00000000003FFFFFF000000000000FFFFF80000000000000FFF80000000004260
7958 79DD51>I<0000000000000FE00000000000000000000000001FF0000000000000000000
7959 0000001FF00000000000000000000000003FF80000000000000000000000003FF8000000
7960 0000000000000000003FF80000000000000000000000007FFC0000000000000000000000
7961 007FFC000000000000000000000000FFFE000000000000000000000000FFFE0000000000
7962 00000000000000FFFE000000000000000000000001FFFF000000000000000000000001FF
7963 FF000000000000000000000003FFFF800000000000000000000003FFFF80000000000000
7964 0000000007FFFFC00000000000000000000007FFFFC00000000000000000000007FFFFC0
7965 000000000000000000000FFFFFE0000000000000000000000FFFFFE00000000000000000
7966 00001FFFFFF0000000000000000000001FFFFFF0000000000000000000001FFFFFF00000
7967 00000000000000003FFFFFF8000000000000000000003FFFFFF800000000000000000000
7968 7FBFFFFC000000000000000000007FBFFFFC000000000000000000007F1FFFFC00000000
7969 000000000000FF1FFFFE00000000000000000000FE1FFFFE00000000000000000001FE0F
7970 FFFF00000000000000000001FE0FFFFF00000000000000000001FC07FFFF000000000000
7971 00000003FC07FFFF80000000000000000003F807FFFF80000000000000000007F803FFFF
7972 C0000000000000000007F803FFFFC0000000000000000007F001FFFFC000000000000000
7973 000FF001FFFFE000000000000000000FE001FFFFE000000000000000001FE000FFFFF000
7974 000000000000001FE000FFFFF000000000000000001FC0007FFFF000000000000000003F
7975 C0007FFFF800000000000000003F80007FFFF800000000000000007F80003FFFFC000000
7976 00000000007F80003FFFFC00000000000000007F00001FFFFC0000000000000000FF0000
7977 1FFFFE0000000000000000FE00001FFFFE0000000000000001FE00000FFFFF0000000000
7978 000001FE00000FFFFF0000000000000001FC000007FFFF0000000000000003FC000007FF
7979 FF8000000000000003F8000007FFFF8000000000000007F8000003FFFFC0000000000000
7980 07F8000003FFFFC000000000000007F0000001FFFFC00000000000000FF0000001FFFFE0
7981 0000000000000FE0000001FFFFE00000000000001FE0000000FFFFF00000000000001FE0
7982 000000FFFFF00000000000001FC00000007FFFF00000000000003FC00000007FFFF80000
7983 000000003F800000007FFFF80000000000007F800000003FFFFC0000000000007FFFFFFF
7984 FFFFFFFC0000000000007FFFFFFFFFFFFFFC000000000000FFFFFFFFFFFFFFFE00000000
7985 0000FFFFFFFFFFFFFFFE000000000001FFFFFFFFFFFFFFFF000000000001FFFFFFFFFFFF
7986 FFFF000000000001FC0000000007FFFF000000000003FC0000000007FFFF800000000003
7987 F80000000007FFFF800000000007F80000000003FFFFC00000000007F00000000003FFFF
7988 C00000000007F00000000001FFFFC0000000000FF00000000001FFFFE0000000000FE000
7989 00000000FFFFE0000000001FE00000000000FFFFF0000000001FC00000000000FFFFF000
7990 0000001FC000000000007FFFF0000000003FC000000000007FFFF8000000003F80000000
7991 00003FFFF8000000007F8000000000003FFFFC000000007F0000000000003FFFFC000000
7992 007F0000000000001FFFFC00000000FF0000000000001FFFFE00000000FE000000000000
7993 0FFFFE00000001FE0000000000000FFFFF00000001FC0000000000000FFFFF00000003FE
7994 00000000000007FFFF8000001FFFC0000000000007FFFF8000FFFFFFFFE0000000FFFFFF
7995 FFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0
7996 000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFFFEFFFFFFFFE0000000FFFFFFFFFF
7997 FE6F647BE37A>65 D<FFFFFFFFFFFFFFFFF000000000FFFFFFFFFFFFFFFFFF80000000FF
7998 FFFFFFFFFFFFFFFFF8000000FFFFFFFFFFFFFFFFFFFE000000FFFFFFFFFFFFFFFFFFFFC0
7999 0000FFFFFFFFFFFFFFFFFFFFE000000001FFFF80000001FFFFF800000001FFFF80000000
8000 3FFFFC00000001FFFF800000000FFFFF00000001FFFF8000000007FFFF80000001FFFF80
8001 00000003FFFFC0000001FFFF8000000001FFFFC0000001FFFF8000000000FFFFE0000001
8002 FFFF80000000007FFFF0000001FFFF80000000007FFFF0000001FFFF80000000003FFFF8
8003 000001FFFF80000000003FFFF8000001FFFF80000000003FFFFC000001FFFF8000000000
8004 1FFFFC000001FFFF80000000001FFFFC000001FFFF80000000001FFFFE000001FFFF8000
8005 0000001FFFFE000001FFFF80000000001FFFFE000001FFFF80000000001FFFFE000001FF
8006 FF80000000001FFFFE000001FFFF80000000001FFFFE000001FFFF80000000001FFFFE00
8007 0001FFFF80000000001FFFFE000001FFFF80000000001FFFFE000001FFFF80000000001F
8008 FFFC000001FFFF80000000001FFFFC000001FFFF80000000003FFFFC000001FFFF800000
8009 00003FFFF8000001FFFF80000000003FFFF8000001FFFF80000000007FFFF0000001FFFF
8010 80000000007FFFF0000001FFFF8000000000FFFFE0000001FFFF8000000001FFFFC00000
8011 01FFFF8000000003FFFF80000001FFFF8000000007FFFF00000001FFFF800000000FFFFE
8012 00000001FFFF800000001FFFFC00000001FFFF800000007FFFF000000001FFFF80000003
8013 FFFFC000000001FFFF800000FFFFFF0000000001FFFFFFFFFFFFFFF80000000001FFFFFF
8014 FFFFFFFFC00000000001FFFFFFFFFFFFFFF80000000001FFFFFFFFFFFFFFFF8000000001
8015 FFFFFFFFFFFFFFFFE000000001FFFF800000001FFFF800000001FFFF8000000007FFFE00
8016 000001FFFF8000000001FFFF80000001FFFF8000000000FFFFC0000001FFFF8000000000
8017 7FFFE0000001FFFF80000000003FFFF0000001FFFF80000000001FFFF8000001FFFF8000
8018 0000001FFFFC000001FFFF80000000000FFFFE000001FFFF80000000000FFFFF000001FF
8019 FF800000000007FFFF000001FFFF800000000007FFFF800001FFFF800000000003FFFF80
8020 0001FFFF800000000003FFFFC00001FFFF800000000003FFFFC00001FFFF800000000003
8021 FFFFC00001FFFF800000000003FFFFC00001FFFF800000000003FFFFE00001FFFF800000
8022 000001FFFFE00001FFFF800000000001FFFFE00001FFFF800000000001FFFFE00001FFFF
8023 800000000001FFFFE00001FFFF800000000001FFFFE00001FFFF800000000001FFFFE000
8024 01FFFF800000000003FFFFE00001FFFF800000000003FFFFE00001FFFF800000000003FF
8025 FFC00001FFFF800000000003FFFFC00001FFFF800000000003FFFFC00001FFFF80000000
8026 0007FFFFC00001FFFF800000000007FFFF800001FFFF800000000007FFFF800001FFFF80
8027 000000000FFFFF000001FFFF80000000000FFFFF000001FFFF80000000001FFFFE000001
8028 FFFF80000000003FFFFC000001FFFF80000000007FFFFC000001FFFF8000000000FFFFF8
8029 000001FFFF8000000001FFFFF0000001FFFF8000000007FFFFE0000001FFFF800000001F
8030 FFFFC0000001FFFF80000000FFFFFF0000FFFFFFFFFFFFFFFFFFFFFE0000FFFFFFFFFFFF
8031 FFFFFFFFF80000FFFFFFFFFFFFFFFFFFFFE00000FFFFFFFFFFFFFFFFFFFF000000FFFFFF
8032 FFFFFFFFFFFFF8000000FFFFFFFFFFFFFFFFFF0000000063627AE173>I<000000000001
8033 FFFF00000003C000000000007FFFFFF0000007C00000000007FFFFFFFE00000FC0000000
8034 007FFFFFFFFFC0001FC000000001FFFFFFFFFFF0003FC00000000FFFFFFFFFFFFC007FC0
8035 0000003FFFFFF8007FFE00FFC0000000FFFFFF000007FF81FFC0000001FFFFF0000001FF
8036 C3FFC0000007FFFFC00000007FE7FFC000000FFFFF000000001FFFFFC000003FFFFC0000
8037 000007FFFFC000007FFFF00000000003FFFFC00000FFFFE00000000001FFFFC00001FFFF
8038 800000000000FFFFC00003FFFF0000000000007FFFC00007FFFE0000000000003FFFC000
8039 0FFFFC0000000000001FFFC0001FFFF80000000000000FFFC0003FFFF800000000000007
8040 FFC0003FFFF000000000000007FFC0007FFFE000000000000003FFC000FFFFE000000000
8041 000003FFC001FFFFC000000000000001FFC001FFFFC000000000000001FFC003FFFF8000
8042 000000000000FFC003FFFF8000000000000000FFC007FFFF00000000000000007FC007FF
8043 FF00000000000000007FC00FFFFF00000000000000007FC00FFFFE00000000000000003F
8044 C01FFFFE00000000000000003FC01FFFFE00000000000000003FC01FFFFE000000000000
8045 00003FC03FFFFC00000000000000001FC03FFFFC00000000000000001FC03FFFFC000000
8046 00000000001FC03FFFFC00000000000000001FC07FFFFC000000000000000000007FFFFC
8047 000000000000000000007FFFF8000000000000000000007FFFF800000000000000000000
8048 7FFFF800000000000000000000FFFFF800000000000000000000FFFFF800000000000000
8049 000000FFFFF800000000000000000000FFFFF800000000000000000000FFFFF800000000
8050 000000000000FFFFF800000000000000000000FFFFF800000000000000000000FFFFF800
8051 000000000000000000FFFFF800000000000000000000FFFFF800000000000000000000FF
8052 FFF800000000000000000000FFFFF800000000000000000000FFFFF80000000000000000
8053 0000FFFFF800000000000000000000FFFFF800000000000000000000FFFFF80000000000
8054 00000000007FFFF8000000000000000000007FFFF8000000000000000000007FFFF80000
8055 00000000000000007FFFFC000000000000000000007FFFFC000000000000000000003FFF
8056 FC000000000000000000003FFFFC000000000000000000003FFFFC00000000000000000F
8057 C03FFFFC00000000000000000FC01FFFFE00000000000000000FC01FFFFE000000000000
8058 00000FC01FFFFE00000000000000000FC00FFFFE00000000000000000FC00FFFFF000000
8059 00000000001FC007FFFF00000000000000001F8007FFFF00000000000000001F8003FFFF
8060 80000000000000001F8003FFFF80000000000000003F8001FFFFC0000000000000003F00
8061 01FFFFC0000000000000003F0000FFFFE0000000000000007F00007FFFE0000000000000
8062 00FE00003FFFF000000000000000FE00003FFFF800000000000001FC00001FFFF8000000
8063 00000001FC00000FFFFC00000000000003F8000007FFFE00000000000007F0000003FFFF
8064 0000000000000FE0000001FFFF8000000000001FE0000000FFFFE000000000003FC00000
8065 007FFFF00000000000FF800000003FFFFC0000000001FF000000000FFFFF0000000007FE
8066 0000000007FFFFC00000001FF80000000001FFFFF80000007FF00000000000FFFFFF0000
8067 03FFE000000000003FFFFFF8003FFF8000000000000FFFFFFFFFFFFE00000000000001FF
8068 FFFFFFFFF8000000000000007FFFFFFFFFE00000000000000007FFFFFFFF800000000000
8069 0000007FFFFFF800000000000000000001FFFF0000000000626677E375>I<FFFFFFFFFF
8070 FFFFFFE00000000000FFFFFFFFFFFFFFFFFF8000000000FFFFFFFFFFFFFFFFFFF0000000
8071 00FFFFFFFFFFFFFFFFFFFE00000000FFFFFFFFFFFFFFFFFFFF80000000FFFFFFFFFFFFFF
8072 FFFFFFF00000000001FFFF80000007FFFFF80000000001FFFF800000007FFFFE00000000
8073 01FFFF800000000FFFFF8000000001FFFF8000000001FFFFC000000001FFFF8000000000
8074 FFFFE000000001FFFF80000000003FFFF000000001FFFF80000000000FFFFC00000001FF
8075 FF800000000007FFFE00000001FFFF800000000003FFFF00000001FFFF800000000001FF
8076 FF00000001FFFF800000000000FFFF80000001FFFF8000000000007FFFC0000001FFFF80
8077 00000000007FFFE0000001FFFF8000000000003FFFE0000001FFFF8000000000001FFFF0
8078 000001FFFF8000000000001FFFF8000001FFFF8000000000000FFFF8000001FFFF800000
8079 0000000FFFFC000001FFFF8000000000000FFFFC000001FFFF80000000000007FFFE0000
8080 01FFFF80000000000007FFFE000001FFFF80000000000007FFFF000001FFFF8000000000
8081 0003FFFF000001FFFF80000000000003FFFF800001FFFF80000000000003FFFF800001FF
8082 FF80000000000003FFFF800001FFFF80000000000001FFFFC00001FFFF80000000000001
8083 FFFFC00001FFFF80000000000001FFFFC00001FFFF80000000000001FFFFC00001FFFF80
8084 000000000001FFFFE00001FFFF80000000000001FFFFE00001FFFF80000000000001FFFF
8085 E00001FFFF80000000000001FFFFE00001FFFF80000000000001FFFFE00001FFFF800000
8086 00000000FFFFE00001FFFF80000000000000FFFFF00001FFFF80000000000000FFFFF000
8087 01FFFF80000000000000FFFFF00001FFFF80000000000000FFFFF00001FFFF8000000000
8088 0000FFFFF00001FFFF80000000000000FFFFF00001FFFF80000000000000FFFFF00001FF
8089 FF80000000000000FFFFF00001FFFF80000000000000FFFFF00001FFFF80000000000000
8090 FFFFF00001FFFF80000000000000FFFFF00001FFFF80000000000000FFFFF00001FFFF80
8091 000000000000FFFFF00001FFFF80000000000000FFFFF00001FFFF80000000000000FFFF
8092 F00001FFFF80000000000000FFFFF00001FFFF80000000000001FFFFE00001FFFF800000
8093 00000001FFFFE00001FFFF80000000000001FFFFE00001FFFF80000000000001FFFFE000
8094 01FFFF80000000000001FFFFE00001FFFF80000000000001FFFFC00001FFFF8000000000
8095 0001FFFFC00001FFFF80000000000001FFFFC00001FFFF80000000000001FFFFC00001FF
8096 FF80000000000003FFFF800001FFFF80000000000003FFFF800001FFFF80000000000003
8097 FFFF800001FFFF80000000000003FFFF000001FFFF80000000000007FFFF000001FFFF80
8098 000000000007FFFE000001FFFF80000000000007FFFE000001FFFF8000000000000FFFFC
8099 000001FFFF8000000000000FFFFC000001FFFF8000000000001FFFF8000001FFFF800000
8100 0000001FFFF8000001FFFF8000000000003FFFF0000001FFFF8000000000003FFFE00000
8101 01FFFF8000000000007FFFE0000001FFFF800000000000FFFFC0000001FFFF8000000000
8102 01FFFF80000001FFFF800000000003FFFF00000001FFFF800000000007FFFE00000001FF
8103 FF80000000000FFFFC00000001FFFF80000000001FFFF800000001FFFF80000000007FFF
8104 F000000001FFFF8000000001FFFFC000000001FFFF8000000007FFFF8000000001FFFF80
8105 0000003FFFFF0000000001FFFF80000007FFFFFC000000FFFFFFFFFFFFFFFFFFFFF00000
8106 00FFFFFFFFFFFFFFFFFFFFC0000000FFFFFFFFFFFFFFFFFFFE00000000FFFFFFFFFFFFFF
8107 FFFFF800000000FFFFFFFFFFFFFFFFFF8000000000FFFFFFFFFFFFFFFFE000000000006C
8108 627AE17C>I<FFFFFFFFFFFFFFFFFFFFFC00FFFFFFFFFFFFFFFFFFFFFC00FFFFFFFFFFFF
8109 FFFFFFFFFC00FFFFFFFFFFFFFFFFFFFFFC00FFFFFFFFFFFFFFFFFFFFFE00FFFFFFFFFFFF
8110 FFFFFFFFFE000001FFFFC0000001FFFFFE000001FFFFC00000000FFFFE000001FFFFC000
8111 000001FFFE000001FFFFC0000000007FFE000001FFFFC0000000003FFE000001FFFFC000
8112 0000000FFE000001FFFFC00000000007FE000001FFFFC00000000003FF000001FFFFC000
8113 00000003FF000001FFFFC00000000001FF000001FFFFC00000000000FF000001FFFFC000
8114 00000000FF000001FFFFC000000000007F000001FFFFC000000000007F000001FFFFC000
8115 000000007F000001FFFFC000000000003F800001FFFFC000000000003F800001FFFFC000
8116 000000003F800001FFFFC000000000001F800001FFFFC000000000001F800001FFFFC000
8117 000000001F800001FFFFC000007E00001F800001FFFFC000007E00001F800001FFFFC000
8118 007E00001F800001FFFFC000007E00000FC00001FFFFC000007E00000FC00001FFFFC000
8119 007E00000FC00001FFFFC000007E00000FC00001FFFFC000007E000000000001FFFFC000
8120 00FE000000000001FFFFC00000FE000000000001FFFFC00000FE000000000001FFFFC000
8121 01FE000000000001FFFFC00001FE000000000001FFFFC00003FE000000000001FFFFC000
8122 07FE000000000001FFFFC0001FFE000000000001FFFFC000FFFE000000000001FFFFFFFF
8123 FFFE000000000001FFFFFFFFFFFE000000000001FFFFFFFFFFFE000000000001FFFFFFFF
8124 FFFE000000000001FFFFFFFFFFFE000000000001FFFFFFFFFFFE000000000001FFFFC000
8125 FFFE000000000001FFFFC0001FFE000000000001FFFFC00007FE000000000001FFFFC000
8126 03FE000000000001FFFFC00001FE000000000001FFFFC00001FE000000000001FFFFC000
8127 00FE000000000001FFFFC00000FE000000000001FFFFC00000FE0000007E0001FFFFC000
8128 007E0000007E0001FFFFC000007E0000007E0001FFFFC000007E000000FC0001FFFFC000
8129 007E000000FC0001FFFFC000007E000000FC0001FFFFC000007E000000FC0001FFFFC000
8130 007E000000FC0001FFFFC000007E000000FC0001FFFFC0000000000001FC0001FFFFC000
8131 0000000001F80001FFFFC0000000000001F80001FFFFC0000000000001F80001FFFFC000
8132 0000000003F80001FFFFC0000000000003F80001FFFFC0000000000003F80001FFFFC000
8133 0000000007F00001FFFFC0000000000007F00001FFFFC0000000000007F00001FFFFC000
8134 000000000FF00001FFFFC000000000000FF00001FFFFC000000000001FF00001FFFFC000
8135 000000003FF00001FFFFC000000000003FE00001FFFFC000000000007FE00001FFFFC000
8136 00000000FFE00001FFFFC00000000001FFE00001FFFFC00000000003FFE00001FFFFC000
8137 0000000FFFE00001FFFFC0000000003FFFC00001FFFFC000000000FFFFC00001FFFFC000
8138 000007FFFFC00001FFFFC0000000FFFFFFC0FFFFFFFFFFFFFFFFFFFFFFC0FFFFFFFFFFFF
8139 FFFFFFFFFFC0FFFFFFFFFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFFFFFFF80FFFFFFFFFFFF
8140 FFFFFFFFFF80FFFFFFFFFFFFFFFFFFFFFF805F617AE06A>I<FFFFFFFFFFFFFFFFFFFFE0
8141 FFFFFFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFFFFFFFFE0FFFFFFFFFFFFFFFFFFFFE0FFFFFF
8142 FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFFFFFFFF00001FFFFC0000007FFFFF00001FFFFC000
8143 00003FFFF00001FFFFC00000000FFFF00001FFFFC000000003FFF00001FFFFC000000000
8144 FFF00001FFFFC0000000007FF00001FFFFC0000000003FF00001FFFFC0000000001FF800
8145 01FFFFC0000000000FF80001FFFFC0000000000FF80001FFFFC00000000007F80001FFFF
8146 C00000000007F80001FFFFC00000000003F80001FFFFC00000000003F80001FFFFC00000
8147 000001F80001FFFFC00000000001FC0001FFFFC00000000001FC0001FFFFC00000000001
8148 FC0001FFFFC00000000000FC0001FFFFC00000000000FC0001FFFFC00000000000FC0001
8149 FFFFC00000000000FC0001FFFFC00000FC0000FC0001FFFFC00000FC0000FC0001FFFFC0
8150 0000FC00007E0001FFFFC00000FC00007E0001FFFFC00000FC00007E0001FFFFC00000FC
8151 00007E0001FFFFC00000FC0000000001FFFFC00000FC0000000001FFFFC00001FC000000
8152 0001FFFFC00001FC0000000001FFFFC00001FC0000000001FFFFC00003FC0000000001FF
8153 FFC00003FC0000000001FFFFC00007FC0000000001FFFFC0000FFC0000000001FFFFC000
8154 3FFC0000000001FFFFC001FFFC0000000001FFFFFFFFFFFC0000000001FFFFFFFFFFFC00
8155 00000001FFFFFFFFFFFC0000000001FFFFFFFFFFFC0000000001FFFFFFFFFFFC00000000
8156 01FFFFFFFFFFFC0000000001FFFFC001FFFC0000000001FFFFC0003FFC0000000001FFFF
8157 C0000FFC0000000001FFFFC00007FC0000000001FFFFC00003FC0000000001FFFFC00003
8158 FC0000000001FFFFC00001FC0000000001FFFFC00001FC0000000001FFFFC00001FC0000
8159 000001FFFFC00000FC0000000001FFFFC00000FC0000000001FFFFC00000FC0000000001
8160 FFFFC00000FC0000000001FFFFC00000FC0000000001FFFFC00000FC0000000001FFFFC0
8161 0000FC0000000001FFFFC00000FC0000000001FFFFC00000000000000001FFFFC0000000
8162 0000000001FFFFC00000000000000001FFFFC00000000000000001FFFFC0000000000000
8163 0001FFFFC00000000000000001FFFFC00000000000000001FFFFC00000000000000001FF
8164 FFC00000000000000001FFFFC00000000000000001FFFFC00000000000000001FFFFC000
8165 00000000000001FFFFC00000000000000001FFFFC00000000000000001FFFFC000000000
8166 00000001FFFFC00000000000000001FFFFC00000000000000001FFFFC000000000000000
8167 01FFFFC00000000000000001FFFFC00000000000000001FFFFC00000000000000001FFFF
8168 C00000000000000001FFFFC0000000000000FFFFFFFFFFFFF800000000FFFFFFFFFFFFF8
8169 00000000FFFFFFFFFFFFF800000000FFFFFFFFFFFFF800000000FFFFFFFFFFFFF8000000
8170 00FFFFFFFFFFFFF80000000057617AE065>I<000000000001FFFF00000003C000000000
8171 00007FFFFFF0000007C0000000000007FFFFFFFE00000FC000000000007FFFFFFFFFC000
8172 1FC00000000001FFFFFFFFFFF0003FC0000000000FFFFFFFFFFFFC007FC0000000003FFF
8173 FFF8007FFE00FFC000000000FFFFFF000007FF81FFC000000001FFFFF0000001FFC3FFC0
8174 00000007FFFFC00000007FE7FFC00000000FFFFF000000001FFFFFC00000003FFFFC0000
8175 000007FFFFC00000007FFFF00000000003FFFFC0000000FFFFE00000000001FFFFC00000
8176 01FFFF800000000000FFFFC0000003FFFF0000000000007FFFC0000007FFFE0000000000
8177 003FFFC000000FFFFC0000000000001FFFC000001FFFF80000000000000FFFC000003FFF
8178 F800000000000007FFC000003FFFF000000000000007FFC000007FFFE000000000000003
8179 FFC00000FFFFE000000000000003FFC00001FFFFC000000000000001FFC00001FFFFC000
8180 000000000001FFC00003FFFF8000000000000000FFC00003FFFF8000000000000000FFC0
8181 0007FFFF00000000000000007FC00007FFFF00000000000000007FC0000FFFFF00000000
8182 000000007FC0000FFFFE00000000000000003FC0001FFFFE00000000000000003FC0001F
8183 FFFE00000000000000003FC0001FFFFE00000000000000003FC0003FFFFC000000000000
8184 00001FC0003FFFFC00000000000000001FC0003FFFFC00000000000000001FC0003FFFFC
8185 00000000000000001FC0007FFFFC00000000000000000000007FFFFC0000000000000000
8186 0000007FFFF800000000000000000000007FFFF800000000000000000000007FFFF80000
8187 000000000000000000FFFFF80000000000000000000000FFFFF800000000000000000000
8188 00FFFFF80000000000000000000000FFFFF80000000000000000000000FFFFF800000000
8189 00000000000000FFFFF80000000000000000000000FFFFF80000000000000000000000FF
8190 FFF80000000000000000000000FFFFF80000000000000000000000FFFFF8000000000000
8191 0000000000FFFFF80000000000000000000000FFFFF80000000000000000000000FFFFF8
8192 0000000000000000000000FFFFF80000000000000000000000FFFFF80000000000000000
8193 000000FFFFF800000000000000000000007FFFF800000000000000000000007FFFF80000
8194 00001FFFFFFFFFFFF87FFFFC000000001FFFFFFFFFFFF87FFFFC000000001FFFFFFFFFFF
8195 F87FFFFC000000001FFFFFFFFFFFF83FFFFC000000001FFFFFFFFFFFF83FFFFC00000000
8196 1FFFFFFFFFFFF83FFFFC00000000000001FFFFC0003FFFFC00000000000001FFFFC0001F
8197 FFFE00000000000001FFFFC0001FFFFE00000000000001FFFFC0001FFFFE000000000000
8198 01FFFFC0000FFFFE00000000000001FFFFC0000FFFFF00000000000001FFFFC00007FFFF
8199 00000000000001FFFFC00007FFFF00000000000001FFFFC00003FFFF80000000000001FF
8200 FFC00003FFFF80000000000001FFFFC00001FFFFC0000000000001FFFFC00001FFFFC000
8201 0000000001FFFFC00000FFFFE0000000000001FFFFC000007FFFE0000000000001FFFFC0
8202 00003FFFF0000000000001FFFFC000003FFFF8000000000001FFFFC000001FFFFC000000
8203 000001FFFFC000000FFFFC000000000001FFFFC0000007FFFE000000000001FFFFC00000
8204 03FFFF000000000003FFFFC0000001FFFFC00000000003FFFFC0000000FFFFE000000000
8205 07FFFFC00000007FFFF00000000007FFFFC00000003FFFFC000000000FFFFFC00000000F
8206 FFFF000000001FFFFFC000000007FFFFC00000007FEFFFC000000001FFFFF8000000FFC7
8207 FFC000000000FFFFFF000007FF83FFC0000000003FFFFFFC003FFF01FFC0000000000FFF
8208 FFFFFFFFFC007FC00000000001FFFFFFFFFFF8001FC000000000007FFFFFFFFFE00007C0
8209 000000000007FFFFFFFF800001C00000000000007FFFFFF80000000000000000000001FF
8210 FF0000000000006D6677E37F>I<FFFFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF80
8211 00FFFFFFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFF
8212 FF80FFFFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFFFF800001FFFF
8213 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8214 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8215 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8216 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8217 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8218 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8219 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8220 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8221 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8222 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8223 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8224 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8225 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8226 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8227 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8228 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFFFFFFFFFFFFF
8229 FFFFC000000001FFFFFFFFFFFFFFFFFFFFC000000001FFFFFFFFFFFFFFFFFFFFC0000000
8230 01FFFFFFFFFFFFFFFFFFFFC000000001FFFFFFFFFFFFFFFFFFFFC000000001FFFFFFFFFF
8231 FFFFFFFFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8232 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8233 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8234 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8235 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8236 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8237 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8238 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8239 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8240 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8241 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8242 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8243 C00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001
8244 FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0000000
8245 01FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000
8246 000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC0
8247 00000001FFFFC00000000001FFFFC000000001FFFFC00000000001FFFFC000000001FFFF
8248 C00000000001FFFFC000000001FFFFC00000000001FFFFC00000FFFFFFFFFFFF8000FFFF
8249 FFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFFFF80FF
8250 FFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF8000FFFFFFFFFFFF80FFFFFFFFFFFF80
8251 00FFFFFFFFFFFF8071627AE17E>I<FFFFFFFFFFFFE0FFFFFFFFFFFFE0FFFFFFFFFFFFE0
8252 FFFFFFFFFFFFE0FFFFFFFFFFFFE0FFFFFFFFFFFFE00000FFFFE000000000FFFFE0000000
8253 00FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000
8254 FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FF
8255 FFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFF
8256 E000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE0
8257 00000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000
8258 000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE00000
8259 0000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE0000000
8260 00FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000
8261 FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FF
8262 FFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFF
8263 E000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE0
8264 00000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000
8265 000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE00000
8266 0000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE0000000
8267 00FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000
8268 FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FFFFE000000000FF
8269 FFE000000000FFFFE00000FFFFFFFFFFFFE0FFFFFFFFFFFFE0FFFFFFFFFFFFE0FFFFFFFF
8270 FFFFE0FFFFFFFFFFFFE0FFFFFFFFFFFFE033627CE13C>I<00000FFFFFFFFFFFF000000F
8271 FFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFFFFFFFF000000FFFFFFFFFFFF000000F
8272 FFFFFFFFFFF00000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8273 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8274 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8275 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8276 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8277 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8278 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8279 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8280 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8281 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8282 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8283 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8284 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8285 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8286 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8287 0001FFFF80000000000001FFFF80000000000001FFFF80000000000001FFFF8000000000
8288 0001FFFF80000000000001FFFF80000000000001FFFF800003FC000001FFFF80000FFF00
8289 0001FFFF80001FFF800001FFFF80003FFFC00001FFFF80007FFFE00001FFFF80007FFFE0
8290 0001FFFF8000FFFFF00001FFFF8000FFFFF00001FFFF8000FFFFF00001FFFF8000FFFFF0
8291 0001FFFF8000FFFFF00003FFFF8000FFFFF00003FFFF0000FFFFF00003FFFF0000FFFFF0
8292 0003FFFF00007FFFE00007FFFE00007FFFE00007FFFC00007FFFC0000FFFFC00003FFF00
8293 000FFFF800001FFE00001FFFF000001FF800003FFFE000000FFE00007FFFC0000007FF80
8294 00FFFF80000001FFF807FFFE00000000FFFFFFFFFC000000003FFFFFFFF0000000000FFF
8295 FFFFC00000000001FFFFFE0000000000001FFFC00000000044647CE153>I<FFFFFFFFC0
8296 00000000000000003FFFFFFFF0FFFFFFFFE000000000000000007FFFFFFFF0FFFFFFFFF0
8297 0000000000000000FFFFFFFFF0FFFFFFFFF00000000000000000FFFFFFFFF0FFFFFFFFF0
8298 0000000000000000FFFFFFFFF0FFFFFFFFF80000000000000001FFFFFFFFF00001FFFFF8
8299 0000000000000001FFFFF800000001FFFFFC0000000000000003EFFFF800000001FFFFFC
8300 0000000000000003EFFFF800000001FDFFFE0000000000000007CFFFF800000001FDFFFE
8301 0000000000000007CFFFF800000001FCFFFF000000000000000F8FFFF800000001FCFFFF
8302 000000000000000F8FFFF800000001FCFFFF000000000000000F8FFFF800000001FC7FFF
8303 800000000000001F0FFFF800000001FC7FFF800000000000001F0FFFF800000001FC3FFF
8304 C00000000000003E0FFFF800000001FC3FFFC00000000000003E0FFFF800000001FC1FFF
8305 E00000000000007C0FFFF800000001FC1FFFE00000000000007C0FFFF800000001FC0FFF
8306 F0000000000000F80FFFF800000001FC0FFFF0000000000000F80FFFF800000001FC0FFF
8307 F0000000000000F80FFFF800000001FC07FFF8000000000001F00FFFF800000001FC07FF
8308 F8000000000001F00FFFF800000001FC03FFFC000000000003E00FFFF800000001FC03FF
8309 FC000000000003E00FFFF800000001FC01FFFE000000000007C00FFFF800000001FC01FF
8310 FE000000000007C00FFFF800000001FC00FFFF00000000000F800FFFF800000001FC00FF
8311 FF00000000000F800FFFF800000001FC00FFFF00000000000F800FFFF800000001FC007F
8312 FF80000000001F000FFFF800000001FC007FFF80000000001F000FFFF800000001FC003F
8313 FFC0000000003E000FFFF800000001FC003FFFC0000000003E000FFFF800000001FC001F
8314 FFE0000000007C000FFFF800000001FC001FFFE0000000007C000FFFF800000001FC000F
8315 FFF000000000F8000FFFF800000001FC000FFFF000000000F8000FFFF800000001FC000F
8316 FFF000000000F8000FFFF800000001FC0007FFF800000001F0000FFFF800000001FC0007
8317 FFF800000001F0000FFFF800000001FC0003FFFC00000003E0000FFFF800000001FC0003
8318 FFFC00000003E0000FFFF800000001FC0001FFFE00000007C0000FFFF800000001FC0001
8319 FFFE00000007C0000FFFF800000001FC0000FFFF0000000F80000FFFF800000001FC0000
8320 FFFF0000000F80000FFFF800000001FC0000FFFF0000000F80000FFFF800000001FC0000
8321 7FFF8000001F00000FFFF800000001FC00007FFF8000001F00000FFFF800000001FC0000
8322 3FFFC000003E00000FFFF800000001FC00003FFFC000003E00000FFFF800000001FC0000
8323 1FFFE000007C00000FFFF800000001FC00001FFFE000007C00000FFFF800000001FC0000
8324 0FFFF00000F800000FFFF800000001FC00000FFFF00000F800000FFFF800000001FC0000
8325 0FFFF00000F800000FFFF800000001FC000007FFF80001F000000FFFF800000001FC0000
8326 07FFF80001F000000FFFF800000001FC000003FFFC0003E000000FFFF800000001FC0000
8327 03FFFC0003E000000FFFF800000001FC000001FFFE0007C000000FFFF800000001FC0000
8328 01FFFE0007C000000FFFF800000001FC000000FFFF000F8000000FFFF800000001FC0000
8329 00FFFF000F8000000FFFF800000001FC000000FFFF000F8000000FFFF800000001FC0000
8330 007FFF801F0000000FFFF800000001FC0000007FFF801F0000000FFFF800000001FC0000
8331 003FFFC03E0000000FFFF800000001FC0000003FFFC03E0000000FFFF800000001FC0000
8332 001FFFE07C0000000FFFF800000001FC0000001FFFE07C0000000FFFF800000001FC0000
8333 000FFFF0F80000000FFFF800000001FC0000000FFFF0F80000000FFFF800000001FC0000
8334 000FFFF0F80000000FFFF800000001FC00000007FFF9F00000000FFFF800000001FC0000
8335 0007FFF9F00000000FFFF800000001FC00000003FFFFE00000000FFFF800000001FC0000
8336 0003FFFFE00000000FFFF800000001FC00000001FFFFC00000000FFFF800000001FC0000
8337 0001FFFFC00000000FFFF800000001FC00000000FFFF800000000FFFF800000001FC0000
8338 0000FFFF800000000FFFF800000001FC00000000FFFF800000000FFFF800000001FC0000
8339 00007FFF000000000FFFF800000001FC000000007FFF000000000FFFF800000001FC0000
8340 00003FFE000000000FFFF800000001FC000000003FFE000000000FFFF800000001FC0000
8341 00001FFC000000000FFFF80000001FFFC00000001FFC000000000FFFF80000FFFFFFFFF8
8342 00000FF8000007FFFFFFFFFFF0FFFFFFFFF800000FF8000007FFFFFFFFFFF0FFFFFFFFF8
8343 00000FF8000007FFFFFFFFFFF0FFFFFFFFF8000007F0000007FFFFFFFFFFF0FFFFFFFFF8
8344 000007F0000007FFFFFFFFFFF0FFFFFFFFF8000003E0000007FFFFFFFFFFF08C627AE199
8345 >77 D<00000000001FFFE000000000000000000007FFFFFF8000000000000000003FFFFF
8346 FFF00000000000000001FFFFFFFFFE000000000000000FFFFFFFFFFFC00000000000003F
8347 FFFC00FFFFF0000000000000FFFFC0000FFFFC000000000003FFFE000001FFFF00000000
8348 0007FFF80000007FFF80000000001FFFF00000003FFFE0000000003FFFC00000000FFFF0
8349 000000007FFF8000000007FFF800000000FFFF0000000003FFFC00000003FFFE00000000
8350 01FFFF00000007FFFC0000000000FFFF80000007FFF800000000007FFF8000000FFFF000
8351 000000003FFFC000001FFFF000000000003FFFE000003FFFE000000000001FFFF000007F
8352 FFE000000000001FFFF800007FFFC000000000000FFFF80000FFFFC000000000000FFFFC
8353 0001FFFF80000000000007FFFE0001FFFF80000000000007FFFE0003FFFF000000000000
8354 03FFFF0003FFFF00000000000003FFFF0007FFFF00000000000003FFFF8007FFFE000000
8355 00000001FFFF800FFFFE00000000000001FFFFC00FFFFE00000000000001FFFFC00FFFFE
8356 00000000000001FFFFC01FFFFC00000000000000FFFFE01FFFFC00000000000000FFFFE0
8357 1FFFFC00000000000000FFFFE03FFFFC00000000000000FFFFF03FFFFC00000000000000
8358 FFFFF03FFFFC00000000000000FFFFF03FFFF8000000000000007FFFF07FFFF800000000
8359 0000007FFFF87FFFF8000000000000007FFFF87FFFF8000000000000007FFFF87FFFF800
8360 0000000000007FFFF87FFFF8000000000000007FFFF8FFFFF8000000000000007FFFFCFF
8361 FFF8000000000000007FFFFCFFFFF8000000000000007FFFFCFFFFF8000000000000007F
8362 FFFCFFFFF8000000000000007FFFFCFFFFF8000000000000007FFFFCFFFFF80000000000
8363 00007FFFFCFFFFF8000000000000007FFFFCFFFFF8000000000000007FFFFCFFFFF80000
8364 00000000007FFFFCFFFFF8000000000000007FFFFCFFFFF8000000000000007FFFFCFFFF
8365 F8000000000000007FFFFCFFFFF8000000000000007FFFFCFFFFF8000000000000007FFF
8366 FCFFFFF8000000000000007FFFFC7FFFF8000000000000007FFFF87FFFF8000000000000
8367 007FFFF87FFFF8000000000000007FFFF87FFFFC00000000000000FFFFF87FFFFC000000
8368 00000000FFFFF87FFFFC00000000000000FFFFF83FFFFC00000000000000FFFFF03FFFFC
8369 00000000000000FFFFF03FFFFC00000000000000FFFFF03FFFFC00000000000000FFFFF0
8370 1FFFFE00000000000001FFFFE01FFFFE00000000000001FFFFE01FFFFE00000000000001
8371 FFFFE00FFFFE00000000000001FFFFC00FFFFF00000000000003FFFFC007FFFF00000000
8372 000003FFFF8007FFFF00000000000003FFFF8003FFFF80000000000007FFFF0003FFFF80
8373 000000000007FFFF0001FFFFC000000000000FFFFE0001FFFFC000000000000FFFFE0000
8374 FFFFE000000000001FFFFC0000FFFFE000000000001FFFFC00007FFFF000000000003FFF
8375 F800003FFFF000000000003FFFF000001FFFF800000000007FFFE000001FFFFC00000000
8376 00FFFFE000000FFFFC0000000000FFFFC0000007FFFE0000000001FFFF80000003FFFF00
8377 00000003FFFF00000001FFFF8000000007FFFE00000000FFFFE00000001FFFFC00000000
8378 3FFFF00000003FFFF0000000001FFFFC000000FFFFE0000000000FFFFF000003FFFFC000
8379 00000003FFFFC0000FFFFF000000000000FFFFFC00FFFFFC0000000000003FFFFFFFFFFF
8380 F00000000000000FFFFFFFFFFFC000000000000003FFFFFFFFFF00000000000000007FFF
8381 FFFFF8000000000000000007FFFFFF800000000000000000001FFFE00000000000666677
8382 E379>79 D<FFFFFFFFFFFFFFFF80000000FFFFFFFFFFFFFFFFFC000000FFFFFFFFFFFFFF
8383 FFFFC00000FFFFFFFFFFFFFFFFFFF80000FFFFFFFFFFFFFFFFFFFE0000FFFFFFFFFFFFFF
8384 FFFFFF80000001FFFF8000001FFFFFC0000001FFFF80000001FFFFF0000001FFFF800000
8385 007FFFF8000001FFFF800000001FFFFC000001FFFF800000000FFFFE000001FFFF800000
8386 0007FFFF000001FFFF8000000003FFFF800001FFFF8000000001FFFFC00001FFFF800000
8387 0001FFFFC00001FFFF8000000000FFFFE00001FFFF8000000000FFFFE00001FFFF800000
8388 0000FFFFF00001FFFF8000000000FFFFF00001FFFF80000000007FFFF80001FFFF800000
8389 00007FFFF80001FFFF80000000007FFFF80001FFFF80000000007FFFF80001FFFF800000
8390 00007FFFFC0001FFFF80000000007FFFFC0001FFFF80000000007FFFFC0001FFFF800000
8391 00007FFFFC0001FFFF80000000007FFFFC0001FFFF80000000007FFFFC0001FFFF800000
8392 00007FFFFC0001FFFF80000000007FFFFC0001FFFF80000000007FFFFC0001FFFF800000
8393 00007FFFF80001FFFF80000000007FFFF80001FFFF80000000007FFFF80001FFFF800000
8394 00007FFFF80001FFFF8000000000FFFFF00001FFFF8000000000FFFFF00001FFFF800000
8395 0000FFFFE00001FFFF8000000000FFFFE00001FFFF8000000001FFFFC00001FFFF800000
8396 0001FFFF800001FFFF8000000003FFFF800001FFFF8000000007FFFF000001FFFF800000
8397 000FFFFE000001FFFF800000001FFFFC000001FFFF800000007FFFF8000001FFFF800000
8398 01FFFFE0000001FFFF8000001FFFFFC0000001FFFFFFFFFFFFFFFF00000001FFFFFFFFFF
8399 FFFFFC00000001FFFFFFFFFFFFFFF000000001FFFFFFFFFFFFFF8000000001FFFFFFFFFF
8400 FFF00000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8401 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8402 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8403 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8404 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8405 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8406 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8407 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8408 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8409 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8410 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8411 00000000000001FFFFC0000000000000000001FFFFC0000000000000000001FFFFC00000
8412 00000000000001FFFFC0000000000000000001FFFFC000000000000000FFFFFFFFFFFF80
8413 0000000000FFFFFFFFFFFF800000000000FFFFFFFFFFFF800000000000FFFFFFFFFFFF80
8414 0000000000FFFFFFFFFFFF800000000000FFFFFFFFFFFF8000000000005E627AE16E>I<
8415 FFFFFFFFFFFFFFF800000000000000FFFFFFFFFFFFFFFFE0000000000000FFFFFFFFFFFF
8416 FFFFFE000000000000FFFFFFFFFFFFFFFFFFC00000000000FFFFFFFFFFFFFFFFFFF00000
8417 000000FFFFFFFFFFFFFFFFFFFE00000000000001FFFF8000007FFFFF00000000000001FF
8418 FF80000007FFFFC0000000000001FFFF80000000FFFFF0000000000001FFFF800000007F
8419 FFF8000000000001FFFF800000001FFFFC000000000001FFFF800000000FFFFE00000000
8420 0001FFFF8000000007FFFF000000000001FFFF8000000003FFFF800000000001FFFF8000
8421 000003FFFF800000000001FFFF8000000001FFFFC00000000001FFFF8000000001FFFFE0
8422 0000000001FFFF8000000001FFFFE00000000001FFFF8000000001FFFFE00000000001FF
8423 FF8000000000FFFFF00000000001FFFF8000000000FFFFF00000000001FFFF8000000000
8424 FFFFF00000000001FFFF8000000000FFFFF80000000001FFFF8000000000FFFFF8000000
8425 0001FFFF8000000000FFFFF80000000001FFFF8000000000FFFFF80000000001FFFF8000
8426 000000FFFFF80000000001FFFF8000000000FFFFF80000000001FFFF8000000000FFFFF8
8427 0000000001FFFF8000000000FFFFF80000000001FFFF8000000000FFFFF00000000001FF
8428 FF8000000000FFFFF00000000001FFFF8000000000FFFFF00000000001FFFF8000000001
8429 FFFFE00000000001FFFF8000000001FFFFE00000000001FFFF8000000001FFFFC0000000
8430 0001FFFF8000000001FFFFC00000000001FFFF8000000003FFFF800000000001FFFF8000
8431 000003FFFF000000000001FFFF8000000007FFFE000000000001FFFF800000000FFFFC00
8432 0000000001FFFF800000001FFFF8000000000001FFFF800000007FFFF0000000000001FF
8433 FF80000001FFFFE0000000000001FFFF80000007FFFF80000000000001FFFF800000FFFF
8434 FE00000000000001FFFFFFFFFFFFFFF800000000000001FFFFFFFFFFFFFFC00000000000
8435 0001FFFFFFFFFFFFFE0000000000000001FFFFFFFFFFFFFC0000000000000001FFFFFFFF
8436 FFFFFF0000000000000001FFFF800003FFFFC000000000000001FFFF8000007FFFE00000
8437 0000000001FFFF8000001FFFF800000000000001FFFF8000000FFFFC00000000000001FF
8438 FF80000007FFFE00000000000001FFFF80000003FFFF00000000000001FFFF80000001FF
8439 FF80000000000001FFFF80000001FFFFC0000000000001FFFF80000000FFFFC000000000
8440 0001FFFF80000000FFFFE0000000000001FFFF800000007FFFE0000000000001FFFF8000
8441 00007FFFF0000000000001FFFF800000007FFFF0000000000001FFFF800000003FFFF800
8442 0000000001FFFF800000003FFFF8000000000001FFFF800000003FFFF8000000000001FF
8443 FF800000003FFFF8000000000001FFFF800000003FFFF8000000000001FFFF800000003F
8444 FFF8000000000001FFFF800000003FFFFC000000000001FFFF800000003FFFFC00000000
8445 0001FFFF800000003FFFFC000000000001FFFF800000003FFFFC000000000001FFFF8000
8446 00003FFFFC000000000001FFFF800000003FFFFC000000000001FFFF800000003FFFFE00
8447 0000000001FFFF800000003FFFFE000000000001FFFF800000003FFFFE000000000001FF
8448 FF800000003FFFFE000000000001FFFF800000003FFFFE000000000001FFFF800000003F
8449 FFFE000000000001FFFF800000003FFFFF00000F000001FFFF800000003FFFFF00001F80
8450 0001FFFF800000003FFFFF00001F800001FFFF800000003FFFFF00001F800001FFFF8000
8451 00001FFFFF80001F800001FFFF800000001FFFFF80003F800001FFFF800000000FFFFF80
8452 003F800001FFFF800000000FFFFFC0003F000001FFFF8000000007FFFFC0007F000001FF
8453 FF8000000003FFFFE000FF00FFFFFFFFFFFF000001FFFFF000FE00FFFFFFFFFFFF000000
8454 FFFFF801FC00FFFFFFFFFFFF0000007FFFFE07FC00FFFFFFFFFFFF0000001FFFFFFFF800
8455 FFFFFFFFFFFF00000007FFFFFFE000FFFFFFFFFFFF00000001FFFFFFC000000000000000
8456 000000003FFFFF00000000000000000000000000FFFC000071647AE178>82
8457 D<000000FFFC000001E000000FFFFFE00003E000007FFFFFFC0007E00001FFFFFFFF000F
8458 E00007FFFFFFFFC01FE0001FFFFFFFFFF01FE0003FFFC007FFF83FE0007FFE00003FFE7F
8459 E000FFF800000FFFFFE001FFE0000001FFFFE003FFC0000000FFFFE007FF800000003FFF
8460 E007FF000000001FFFE00FFE000000000FFFE01FFE0000000007FFE01FFC0000000003FF
8461 E03FFC0000000001FFE03FFC0000000000FFE03FF80000000000FFE07FF800000000007F
8462 E07FF800000000007FE07FF800000000003FE07FF800000000003FE0FFF800000000001F
8463 E0FFF800000000001FE0FFFC00000000001FE0FFFC00000000000FE0FFFC00000000000F
8464 E0FFFE00000000000FE0FFFE00000000000FE0FFFF000000000007E0FFFF800000000007
8465 E0FFFFC00000000007E0FFFFE00000000007E07FFFF80000000000007FFFFC0000000000
8466 007FFFFF8000000000007FFFFFF800000000003FFFFFFFC0000000003FFFFFFFFC000000
8467 001FFFFFFFFFE00000001FFFFFFFFFFE0000000FFFFFFFFFFFE000000FFFFFFFFFFFF800
8468 0007FFFFFFFFFFFE000003FFFFFFFFFFFF800001FFFFFFFFFFFFC00000FFFFFFFFFFFFE0
8469 00007FFFFFFFFFFFF800003FFFFFFFFFFFFC00001FFFFFFFFFFFFE00000FFFFFFFFFFFFF
8470 000003FFFFFFFFFFFF000001FFFFFFFFFFFF8000007FFFFFFFFFFFC000000FFFFFFFFFFF
8471 E0000001FFFFFFFFFFE00000000FFFFFFFFFF000000000FFFFFFFFF00000000007FFFFFF
8472 F800000000007FFFFFF8000000000003FFFFF8000000000000FFFFFC0000000000003FFF
8473 FC0000000000001FFFFC00000000000007FFFE00000000000003FFFE00000000000003FF
8474 FE7C000000000001FFFEFC000000000000FFFEFC000000000000FFFEFC0000000000007F
8475 FEFC0000000000007FFEFC0000000000007FFEFC0000000000003FFEFE0000000000003F
8476 FEFE0000000000003FFEFE0000000000003FFEFE0000000000003FFCFF0000000000003F
8477 FCFF0000000000003FFCFF8000000000003FFCFF8000000000003FF8FFC000000000007F
8478 F8FFE000000000007FF8FFE000000000007FF0FFF00000000000FFF0FFF80000000000FF
8479 E0FFFC0000000001FFE0FFFF0000000001FFC0FFFF8000000003FF80FFFFE000000007FF
8480 00FFFFF80000000FFE00FFFFFF0000003FFC00FFCFFFE00000FFF800FF83FFFF000FFFF0
8481 00FF01FFFFFFFFFFE000FF007FFFFFFFFFC000FE001FFFFFFFFF0000FC0003FFFFFFFC00
8482 00F800003FFFFFE00000F0000001FFFE000000476677E35A>I<1FFFFFFFFFFFFFFFFFFF
8483 FFFF001FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFFFFFFFF
8484 FFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF001FFFFFFFFFFFFFFFFFFFFFFF003FFFFE00
8485 00FFFFE0000FFFFF803FFFE00000FFFFE00000FFFF803FFF000000FFFFE000001FFF803F
8486 FE000000FFFFE000000FFF803FF8000000FFFFE0000003FF803FF0000000FFFFE0000001
8487 FF803FE0000000FFFFE0000000FF803FE0000000FFFFE0000000FF803FC0000000FFFFE0
8488 0000007F803FC0000000FFFFE00000007F803F80000000FFFFE00000003F807F80000000
8489 FFFFE00000003FC07F00000000FFFFE00000001FC07F00000000FFFFE00000001FC07F00
8490 000000FFFFE00000001FC07F00000000FFFFE00000001FC07E00000000FFFFE00000000F
8491 C07E00000000FFFFE00000000FC07E00000000FFFFE00000000FC07E00000000FFFFE000
8492 00000FC07E00000000FFFFE00000000FC07E00000000FFFFE00000000FC0FE00000000FF
8493 FFE00000000FE0FC00000000FFFFE000000007E0FC00000000FFFFE000000007E0FC0000
8494 0000FFFFE000000007E0FC00000000FFFFE000000007E0FC00000000FFFFE000000007E0
8495 0000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE00000
8496 0000000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFF
8497 E000000000000000000000FFFFE000000000000000000000FFFFE0000000000000000000
8498 00FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000000000
8499 00000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000
8500 00000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0
8501 00000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000
8502 FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000000000
8503 000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000000000
8504 000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE000
8505 000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000FF
8506 FFE000000000000000000000FFFFE000000000000000000000FFFFE00000000000000000
8507 0000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE00000000000
8508 0000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE00000
8509 0000000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFF
8510 E000000000000000000000FFFFE000000000000000000000FFFFE0000000000000000000
8511 00FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000000000
8512 00000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0000000
8513 00000000000000FFFFE000000000000000000000FFFFE000000000000000000000FFFFE0
8514 00000000000000000000FFFFE000000000000000000000FFFFE000000000000000000000
8515 FFFFE000000000000000000000FFFFE0000000000000001FFFFFFFFFFFFFFF0000000000
8516 1FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFFFF0000
8517 0000001FFFFFFFFFFFFFFF00000000001FFFFFFFFFFFFFFF00000063617AE070>I<FFFF
8518 FFFFFFFF8000003FFFFFFFFEFFFFFFFFFFFF8000003FFFFFFFFEFFFFFFFFFFFF8000003F
8519 FFFFFFFEFFFFFFFFFFFF8000003FFFFFFFFEFFFFFFFFFFFF8000003FFFFFFFFEFFFFFFFF
8520 FFFF8000003FFFFFFFFE0001FFFFC0000000000007FFF0000001FFFFC00000000000007F
8521 00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC000
8522 00000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F0000
8523 0001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC0000000
8524 0000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001
8525 FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000
8526 007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFF
8527 C00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F
8528 00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC000
8529 00000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F0000
8530 0001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC0000000
8531 0000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001
8532 FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000
8533 007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFF
8534 C00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F
8535 00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC000
8536 00000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F0000
8537 0001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC0000000
8538 0000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001
8539 FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000
8540 007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFF
8541 C00000000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F
8542 00000001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC000
8543 00000000007F00000001FFFFC00000000000007F00000001FFFFC00000000000007F0000
8544 0001FFFFC00000000000007F00000001FFFFC00000000000007F00000001FFFFC0000000
8545 0000007F00000001FFFFC00000000000007F00000001FFFFC0000000000000FF00000000
8546 FFFFC0000000000000FE00000000FFFFC0000000000000FE00000000FFFFE00000000000
8547 00FE00000000FFFFE0000000000001FE000000007FFFE0000000000001FE000000007FFF
8548 E0000000000001FC000000007FFFF0000000000003FC000000003FFFF0000000000003FC
8549 000000003FFFF0000000000007F8000000001FFFF8000000000007F8000000000FFFF800
8550 000000000FF0000000000FFFFC00000000001FF00000000007FFFC00000000001FE00000
8551 000003FFFE00000000003FC00000000001FFFF00000000007FC00000000001FFFF000000
8552 0000FF800000000000FFFF8000000003FF0000000000003FFFE000000007FE0000000000
8553 001FFFF00000001FFC0000000000000FFFFC0000007FF800000000000003FFFF800003FF
8554 E000000000000001FFFFF8007FFFC0000000000000007FFFFFFFFFFF0000000000000000
8555 1FFFFFFFFFFE000000000000000007FFFFFFFFF8000000000000000000FFFFFFFFC00000
8556 000000000000000FFFFFFE00000000000000000000003FFFC000000000006F647AE17C>
8557 I<FFFFFFFFFFFC000000007FFFFFFFE0FFFFFFFFFFFC000000007FFFFFFFE0FFFFFFFFFF
8558 FC000000007FFFFFFFE0FFFFFFFFFFFC000000007FFFFFFFE0FFFFFFFFFFFC000000007F
8559 FFFFFFE0FFFFFFFFFFFC000000007FFFFFFFE00007FFFF800000000000007FFF80000003
8560 FFFFC000000000000007FC00000003FFFFC000000000000007F800000001FFFFE0000000
8561 00000007F000000001FFFFE00000000000000FF000000000FFFFF00000000000000FE000
8562 000000FFFFF00000000000001FE000000000FFFFF00000000000001FE0000000007FFFF8
8563 0000000000001FC0000000007FFFF80000000000003FC0000000003FFFFC000000000000
8564 3F80000000003FFFFC0000000000007F80000000001FFFFE0000000000007F0000000000
8565 1FFFFE000000000000FF00000000001FFFFE000000000000FF00000000000FFFFF000000
8566 000001FE00000000000FFFFF000000000001FE000000000007FFFF800000000001FC0000
8567 00000007FFFF800000000003FC000000000003FFFFC00000000003F8000000000003FFFF
8568 C00000000007F8000000000001FFFFE00000000007F0000000000001FFFFE0000000000F
8569 F0000000000001FFFFE0000000000FF0000000000000FFFFF0000000000FE00000000000
8570 00FFFFF0000000001FE00000000000007FFFF8000000001FC00000000000007FFFF80000
8571 00003FC00000000000003FFFFC000000003F800000000000003FFFFC000000007F800000
8572 000000003FFFFC000000007F800000000000001FFFFE00000000FF000000000000001FFF
8573 FE00000000FF000000000000000FFFFF00000000FE000000000000000FFFFF00000001FE
8574 0000000000000007FFFF80000001FC0000000000000007FFFF80000003FC000000000000
8575 0007FFFF80000003FC0000000000000003FFFFC0000007F80000000000000003FFFFC000
8576 0007F80000000000000001FFFFE0000007F00000000000000001FFFFE000000FF0000000
8577 0000000000FFFFF000000FE00000000000000000FFFFF000001FE000000000000000007F
8578 FFF800001FC000000000000000007FFFF800003FC000000000000000007FFFF800003FC0
8579 00000000000000003FFFFC00003F8000000000000000003FFFFC00007F80000000000000
8580 00001FFFFE00007F0000000000000000001FFFFE0000FF0000000000000000000FFFFF00
8581 00FE0000000000000000000FFFFF0001FE0000000000000000000FFFFF0001FE00000000
8582 000000000007FFFF8003FC00000000000000000007FFFF8003FC00000000000000000003
8583 FFFFC003F800000000000000000003FFFFC007F800000000000000000001FFFFE007F000
8584 000000000000000001FFFFE00FF000000000000000000000FFFFF00FE000000000000000
8585 000000FFFFF01FE000000000000000000000FFFFF01FE0000000000000000000007FFFF8
8586 1FC0000000000000000000007FFFF83FC0000000000000000000003FFFFC3F8000000000
8587 0000000000003FFFFC7F80000000000000000000001FFFFE7F0000000000000000000000
8588 1FFFFEFF00000000000000000000001FFFFEFF00000000000000000000000FFFFFFE0000
8589 0000000000000000000FFFFFFE000000000000000000000007FFFFFC0000000000000000
8590 00000007FFFFFC000000000000000000000003FFFFF8000000000000000000000003FFFF
8591 F8000000000000000000000003FFFFF8000000000000000000000001FFFFF00000000000
8592 00000000000001FFFFF0000000000000000000000000FFFFE00000000000000000000000
8593 00FFFFE00000000000000000000000007FFFC00000000000000000000000007FFFC00000
8594 000000000000000000003FFF800000000000000000000000003FFF800000000000000000
8595 000000003FFF800000000000000000000000001FFF000000000000000000000000001FFF
8596 000000000000000000000000000FFE000000000000000000000000000FFE000000000000
8597 0000000000000007FC0000000000000000000000000007FC000000000000000000000000
8598 0003F80000000000000073637DE17A>I<FFFFFFFFFFFF000000001FFFFFFFF8FFFFFFFF
8599 FFFF000000001FFFFFFFF8FFFFFFFFFFFF000000001FFFFFFFF8FFFFFFFFFFFF00000000
8600 1FFFFFFFF8FFFFFFFFFFFF000000001FFFFFFFF8FFFFFFFFFFFF000000001FFFFFFFF800
8601 03FFFFF00000000000003FFFC0000001FFFFF800000000000007FE00000001FFFFF80000
8602 0000000007F800000000FFFFFC0000000000000FF8000000007FFFFE0000000000000FF0
8603 000000007FFFFE0000000000001FE0000000003FFFFF0000000000003FE0000000001FFF
8604 FF8000000000003FC0000000001FFFFF8000000000007F80000000000FFFFFC000000000
8605 00FF800000000007FFFFE00000000000FF000000000007FFFFE00000000001FE00000000
8606 0003FFFFF00000000003FE000000000001FFFFF80000000003FC000000000001FFFFF800
8607 00000007F8000000000000FFFFFC000000000FF80000000000007FFFFE000000000FF000
8608 00000000007FFFFE000000001FE00000000000003FFFFF000000003FE00000000000001F
8609 FFFF800000003FC00000000000001FFFFF800000007F800000000000000FFFFFC0000000
8610 FF8000000000000007FFFFE0000001FF0000000000000007FFFFE0000001FE0000000000
8611 000003FFFFF0000003FE0000000000000001FFFFF8000007FC0000000000000001FFFFF8
8612 000007F80000000000000000FFFFFC00000FF800000000000000007FFFFE00001FF00000
8613 0000000000007FFFFE00001FE000000000000000003FFFFF00003FC00000000000000000
8614 1FFFFF80007FC000000000000000001FFFFF80007F8000000000000000000FFFFFC000FF
8615 00000000000000000007FFFFE001FF00000000000000000007FFFFE001FE000000000000
8616 00000003FFFFF003FC00000000000000000001FFFFF807FC00000000000000000001FFFF
8617 F807F800000000000000000000FFFFFC0FF0000000000000000000007FFFFE1FF0000000
8618 000000000000007FFFFF1FE0000000000000000000003FFFFF3FC0000000000000000000
8619 001FFFFFFFC0000000000000000000001FFFFFFF80000000000000000000000FFFFFFF00
8620 0000000000000000000007FFFFFF000000000000000000000007FFFFFE00000000000000
8621 0000000003FFFFFC000000000000000000000001FFFFFC000000000000000000000001FF
8622 FFF8000000000000000000000000FFFFF00000000000000000000000007FFFF000000000
8623 00000000000000007FFFE00000000000000000000000007FFFE000000000000000000000
8624 00007FFFE00000000000000000000000007FFFE00000000000000000000000007FFFE000
8625 00000000000000000000007FFFE00000000000000000000000007FFFE000000000000000
8626 00000000007FFFE00000000000000000000000007FFFE00000000000000000000000007F
8627 FFE00000000000000000000000007FFFE00000000000000000000000007FFFE000000000
8628 00000000000000007FFFE00000000000000000000000007FFFE000000000000000000000
8629 00007FFFE00000000000000000000000007FFFE00000000000000000000000007FFFE000
8630 00000000000000000000007FFFE00000000000000000000000007FFFE000000000000000
8631 00000000007FFFE00000000000000000000000007FFFE00000000000000000000000007F
8632 FFE00000000000000000000000007FFFE00000000000000000000000007FFFE000000000
8633 00000000000000007FFFE00000000000000000000000007FFFE000000000000000000000
8634 00007FFFE00000000000000000000000007FFFE00000000000000000000000007FFFE000
8635 00000000000000000000007FFFE00000000000000000000000007FFFE000000000000000
8636 00000000007FFFE00000000000000000000000007FFFE0000000000000000000003FFFFF
8637 FFFFFFC000000000000000003FFFFFFFFFFFC000000000000000003FFFFFFFFFFFC00000
8638 0000000000003FFFFFFFFFFFC000000000000000003FFFFFFFFFFFC00000000000000000
8639 3FFFFFFFFFFFC00000000075627EE17A>89 D<000003FFFE000000000000007FFFFFF000
8640 0000000003FFFFFFFE00000000000FFFFFFFFF80000000001FFFFFFFFFE0000000003FFE
8641 001FFFF0000000007FE00007FFF800000000FFF80001FFFC00000001FFFC0000FFFE0000
8642 0001FFFC00007FFF00000003FFFE00003FFF80000003FFFE00003FFFC0000003FFFE0000
8643 1FFFE0000003FFFE00001FFFE0000003FFFE00000FFFF0000003FFFE00000FFFF0000003
8644 FFFE00000FFFF0000001FFFC000007FFF8000001FFFC000007FFF8000000FFF8000007FF
8645 F80000007FF0000007FFF80000001FC0000007FFF80000000000000007FFF80000000000
8646 000007FFF80000000000000007FFF80000000000000007FFF80000000000000007FFF800
8647 00000000000007FFF80000000000000007FFF8000000000001FFFFFFF800000000007FFF
8648 FFFFF80000000007FFFFFFFFF8000000007FFFFFFFFFF800000001FFFFFF07FFF8000000
8649 0FFFFFC007FFF80000003FFFFE0007FFF80000007FFFF00007FFF8000001FFFFC00007FF
8650 F8000003FFFF000007FFF8000007FFFE000007FFF800000FFFF8000007FFF800001FFFF8
8651 000007FFF800001FFFF0000007FFF800003FFFE0000007FFF800007FFFE0000007FFF800
8652 007FFFC0000007FFF800007FFFC0000007FFF80000FFFF80000007FFF80000FFFF800000
8653 07FFF80000FFFF80000007FFF80000FFFF80000007FFF80000FFFF8000000FFFF80000FF
8654 FF8000000FFFF80000FFFF8000001FFFF80000FFFFC000001FFFF800007FFFC000003FFF
8655 F800007FFFE000003FFFF800003FFFE000007DFFFC00003FFFF00001F9FFFC00001FFFF8
8656 0003F1FFFF80000FFFFE000FE1FFFFFF0007FFFFC07FC0FFFFFF8001FFFFFFFF807FFFFF
8657 80007FFFFFFF003FFFFF80001FFFFFFC000FFFFF800003FFFFF00001FFFF0000001FFF00
8658 000000000049437CC14E>97 D<0007FF80000000000000FFFFFF80000000000000FFFFFF
8659 80000000000000FFFFFF80000000000000FFFFFF80000000000000FFFFFF800000000000
8660 00FFFFFF8000000000000000FFFF80000000000000007FFF80000000000000003FFF8000
8661 0000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000000
8662 3FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000
8663 000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF
8664 80000000000000003FFF80000000000000003FFF80000000000000003FFF800000000000
8665 00003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000
8666 0000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000000
8667 3FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000
8668 000000003FFF8000FFF8000000003FFF800FFFFF800000003FFF807FFFFFF00000003FFF
8669 81FFFFFFFC0000003FFF87FFFFFFFF0000003FFF8FFF00FFFFC000003FFFBFF0001FFFE0
8670 00003FFFFFC00007FFF000003FFFFF000003FFF800003FFFFE000000FFFC00003FFFF800
8671 0000FFFE00003FFFF00000007FFF00003FFFE00000003FFF80003FFFC00000003FFFC000
8672 3FFFC00000001FFFC0003FFFC00000001FFFE0003FFFC00000001FFFE0003FFFC0000000
8673 0FFFF0003FFFC00000000FFFF0003FFFC00000000FFFF8003FFFC00000000FFFF8003FFF
8674 C00000000FFFF8003FFFC000000007FFFC003FFFC000000007FFFC003FFFC000000007FF
8675 FC003FFFC000000007FFFC003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000
8676 000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE00
8677 3FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC0000000
8678 07FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFF
8679 C000000007FFFE003FFFC000000007FFFC003FFFC000000007FFFC003FFFC000000007FF
8680 FC003FFFC000000007FFFC003FFFC00000000FFFF8003FFFC00000000FFFF8003FFFC000
8681 00000FFFF8003FFFC00000000FFFF0003FFFC00000000FFFF0003FFFC00000001FFFE000
8682 3FFFC00000001FFFE0003FFFC00000003FFFC0003FFFE00000003FFF80003FFFE0000000
8683 7FFF00003FFFF00000007FFF00003FFFF8000000FFFE00003FFFFC000001FFFC00003FFE
8684 FF000007FFF800003FFC7F80000FFFF000003FF83FE0003FFFC000003FF00FFC03FFFF80
8685 00003FE007FFFFFFFE0000003FC001FFFFFFF80000003F8000FFFFFFE00000003F00001F
8686 FFFF0000000000000003FFE00000004F657BE35A>I<0000000FFFF00000000001FFFFFF
8687 800000000FFFFFFFF00000003FFFFFFFFC000000FFFFFFFFFE000003FFFE001FFF000007
8688 FFF80001FF80000FFFE00007FFC0001FFF80000FFFE0007FFF00000FFFE000FFFE00001F
8689 FFF000FFFE00001FFFF001FFFC00001FFFF003FFF800001FFFF007FFF800001FFFF007FF
8690 F000001FFFF00FFFF000001FFFF00FFFF000000FFFE01FFFE000000FFFE01FFFE0000007
8691 FFC03FFFE0000003FF803FFFE0000000FE003FFFE000000000007FFFC000000000007FFF
8692 C000000000007FFFC000000000007FFFC00000000000FFFFC00000000000FFFFC0000000
8693 0000FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFF
8694 C00000000000FFFFC00000000000FFFFC00000000000FFFFC00000000000FFFFC0000000
8695 0000FFFFC00000000000FFFFC00000000000FFFFC000000000007FFFC000000000007FFF
8696 C000000000007FFFE000000000007FFFE000000000003FFFE000000000003FFFE0000000
8697 00003FFFF000000000001FFFF000000000FC1FFFF000000000FC0FFFF800000001FC0FFF
8698 F800000001F807FFF800000001F803FFFC00000003F803FFFE00000007F001FFFE000000
8699 07E000FFFF0000000FE0007FFF8000001FC0003FFFE000007F80001FFFF00000FF000007
8700 FFFC0003FE000003FFFFC03FFC000000FFFFFFFFF00000003FFFFFFFE00000000FFFFFFF
8701 8000000001FFFFFC00000000000FFFC000003E437BC148>I<000000000000007FF80000
8702 000000000FFFFFF80000000000000FFFFFF80000000000000FFFFFF80000000000000FFF
8703 FFF80000000000000FFFFFF80000000000000FFFFFF8000000000000000FFFF800000000
8704 00000007FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8
8705 0000000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000
8706 0003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000
8707 000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003
8708 FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800000000
8709 00000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8
8710 0000000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000
8711 0003FFF80000000000000003FFF8000000000FFF8003FFF800000001FFFFF803FFF80000
8712 000FFFFFFE03FFF80000003FFFFFFF83FFF8000000FFFFFFFFE3FFF8000003FFFF807FF3
8713 FFF8000007FFF8000FFBFFF800001FFFE00003FFFFF800003FFFC00000FFFFF800007FFF
8714 0000007FFFF80000FFFE0000003FFFF80001FFFC0000001FFFF80003FFFC0000000FFFF8
8715 0003FFF800000007FFF80007FFF800000007FFF8000FFFF000000007FFF8000FFFF00000
8716 0007FFF8001FFFE000000007FFF8001FFFE000000007FFF8003FFFE000000007FFF8003F
8717 FFE000000007FFF8003FFFE000000007FFF8007FFFC000000007FFF8007FFFC000000007
8718 FFF8007FFFC000000007FFF8007FFFC000000007FFF800FFFFC000000007FFF800FFFFC0
8719 00000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF8
8720 00FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC00000
8721 0007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FFFFC000000007FFF800FF
8722 FFC000000007FFF800FFFFC000000007FFF8007FFFC000000007FFF8007FFFC000000007
8723 FFF8007FFFC000000007FFF8007FFFC000000007FFF8003FFFE000000007FFF8003FFFE0
8724 00000007FFF8003FFFE000000007FFF8001FFFE000000007FFF8001FFFE000000007FFF8
8725 000FFFF000000007FFF8000FFFF000000007FFF80007FFF00000000FFFF80007FFF80000
8726 000FFFF80003FFF80000001FFFF80001FFFC0000003FFFF80000FFFE0000007FFFF80000
8727 7FFE000000FFFFF800003FFF800003FFFFFC00001FFFC00007FFFFFE00000FFFF0001FF7
8728 FFFFFE0007FFFE01FFE7FFFFFE0001FFFFFFFF87FFFFFE00007FFFFFFE07FFFFFE00001F
8729 FFFFF807FFFFFE000003FFFFE007FFFFFE0000003FFE0007FFC0004F657BE35A>I<0000
8730 000FFFC0000000000001FFFFFC00000000000FFFFFFF80000000003FFFFFFFE000000000
8731 FFFFFFFFF800000003FFFE03FFFC00000007FFF0007FFF0000001FFFC0001FFF8000003F
8732 FF80000FFFC000007FFF000007FFE00000FFFE000003FFF00001FFFC000001FFF00003FF
8733 FC000001FFF80003FFF8000000FFF80007FFF8000000FFFC000FFFF0000000FFFC000FFF
8734 F00000007FFE001FFFF00000007FFE001FFFE00000007FFE003FFFE00000003FFF003FFF
8735 E00000003FFF003FFFE00000003FFF007FFFE00000003FFF007FFFC00000003FFF007FFF
8736 C00000001FFF807FFFC00000001FFF80FFFFC00000001FFF80FFFFC00000001FFF80FFFF
8737 C00000001FFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF80FFFF
8738 FFFFFFFFFFFF80FFFFFFFFFFFFFFFF00FFFFC0000000000000FFFFC0000000000000FFFF
8739 C0000000000000FFFFC0000000000000FFFFC0000000000000FFFFC00000000000007FFF
8740 C00000000000007FFFC00000000000007FFFC00000000000007FFFE00000000000007FFF
8741 E00000000000003FFFE00000000000003FFFE00000000000001FFFE00000000000001FFF
8742 F0000000000F001FFFF0000000001F800FFFF0000000003F8007FFF8000000003F8007FF
8743 F8000000007F0003FFFC000000007F0001FFFE00000000FE0000FFFE00000001FE00007F
8744 FF00000003FC00003FFF80000007F800001FFFE000000FF000000FFFF000003FE0000003
8745 FFFC0001FFC0000001FFFFC01FFF000000007FFFFFFFFE000000001FFFFFFFF800000000
8746 07FFFFFFE00000000000FFFFFF00000000000007FFF000000041437CC14A>I<00000000
8747 3FFC0000000007FFFF800000003FFFFFC0000001FFFFFFF0000007FFFFFFF800000FFFF0
8748 3FFC00001FFF807FFC00007FFE00FFFE0000FFFC00FFFE0000FFF801FFFF0001FFF001FF
8749 FF0003FFF001FFFF0007FFE001FFFF0007FFE001FFFF000FFFC001FFFF000FFFC001FFFF
8750 000FFFC000FFFE001FFF80007FFC001FFF80003FF8001FFF80001FF0001FFF800007C000
8751 1FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF80000000001F
8752 FF80000000001FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF
8753 80000000001FFF80000000001FFF80000000001FFF80000000001FFF80000000001FFF80
8754 000000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFFFFFFC000FFFFFFFFFF
8755 C000FFFFFFFFFFC000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC00000
8756 00001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000
8757 001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000000000
8758 1FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001F
8759 FFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFF
8760 C0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0
8761 000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000
8762 0000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC00000
8763 00001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000
8764 001FFFC0000000001FFFC0000000001FFFC0000000001FFFC0000000001FFFC000000000
8765 1FFFC0000000001FFFC00000007FFFFFFFFC00007FFFFFFFFC00007FFFFFFFFC00007FFF
8766 FFFFFC00007FFFFFFFFC00007FFFFFFFFC000038657CE431>I<0000000000000007F800
8767 0000007FFE00003FFE0000000FFFFFF001FFFF0000007FFFFFFE03FFFF800001FFFFFFFF
8768 8FFFFF800003FFFFFFFFDFFDFFC0000FFFF00FFFFFC1FFC0001FFF8001FFFF01FFC0003F
8769 FF0000FFFC03FFC0007FFE00007FFE01FFC000FFFC00003FFF01FFC001FFF800001FFF81
8770 FF8001FFF800001FFF80FF0003FFF800001FFFC03E0003FFF800001FFFC0000007FFF000
8771 000FFFE0000007FFF000000FFFE0000007FFF000000FFFE000000FFFF000000FFFF00000
8772 0FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000F
8773 FFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFF
8774 F000000FFFF0000007FFF000000FFFE0000007FFF000000FFFE0000007FFF000000FFFE0
8775 000003FFF800001FFFC0000003FFF800001FFFC0000001FFF800001FFF80000001FFF800
8776 001FFF80000000FFFC00003FFF000000007FFE00007FFE000000003FFF0000FFFC000000
8777 001FFF8001FFF8000000001FFFF00FFFF0000000003FFFFFFFFFC0000000003FFFFFFFFF
8778 80000000007C7FFFFFFE0000000000FC0FFFFFF00000000000FC007FFE000000000000FC
8779 000000000000000001FC000000000000000001FC000000000000000001FC000000000000
8780 000001FC000000000000000001FE000000000000000001FE000000000000000001FF0000
8781 00000000000001FF800000000000000001FFF00000000000000001FFFFFFFFFF80000000
8782 01FFFFFFFFFFFE00000000FFFFFFFFFFFFC0000000FFFFFFFFFFFFF00000007FFFFFFFFF
8783 FFFC0000007FFFFFFFFFFFFF0000003FFFFFFFFFFFFF8000001FFFFFFFFFFFFFC000000F
8784 FFFFFFFFFFFFE0000007FFFFFFFFFFFFF000003FFFFFFFFFFFFFF80000FFFFFFFFFFFFFF
8785 F80003FFFFFFFFFFFFFFFC0007FFE0000001FFFFFC000FFF000000000FFFFE001FFE0000
8786 000001FFFE003FFC00000000007FFE007FF800000000003FFF007FF800000000001FFF00
8787 FFF800000000001FFF00FFF000000000001FFF00FFF000000000000FFF00FFF000000000
8788 000FFF00FFF000000000000FFF00FFF000000000000FFF00FFF000000000000FFF00FFF8
8789 00000000001FFF007FF800000000001FFE007FFC00000000003FFE003FFC00000000003F
8790 FC003FFE00000000007FFC001FFF0000000000FFF8000FFFC000000003FFF00007FFE000
8791 000007FFE00003FFF80000001FFFC00000FFFF000000FFFF0000007FFFF8001FFFFE0000
8792 001FFFFFFFFFFFF800000007FFFFFFFFFFE000000000FFFFFFFFFF00000000000FFFFFFF
8793 F00000000000003FFFFC000000004A607CC151>I<0007FF8000000000000000FFFFFF80
8794 00000000000000FFFFFF8000000000000000FFFFFF8000000000000000FFFFFF80000000
8795 00000000FFFFFF8000000000000000FFFFFF800000000000000000FFFF80000000000000
8796 00007FFF8000000000000000003FFF8000000000000000003FFF8000000000000000003F
8797 FF8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF8000
8798 000000000000003FFF8000000000000000003FFF8000000000000000003FFF8000000000
8799 000000003FFF8000000000000000003FFF8000000000000000003FFF8000000000000000
8800 003FFF8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF
8801 8000000000000000003FFF8000000000000000003FFF8000000000000000003FFF800000
8802 0000000000003FFF8000000000000000003FFF8000000000000000003FFF800000000000
8803 0000003FFF8000000000000000003FFF8000000000000000003FFF800000000000000000
8804 3FFF8000000000000000003FFF80001FFF00000000003FFF8000FFFFF0000000003FFF80
8805 07FFFFFC000000003FFF801FFFFFFF000000003FFF803FFFFFFF800000003FFF807FE07F
8806 FFC00000003FFF81FE001FFFE00000003FFF83F8000FFFF00000003FFF87F00007FFF000
8807 00003FFF8FC00007FFF80000003FFF8F800003FFF80000003FFF9F000003FFFC0000003F
8808 FFBE000003FFFC0000003FFFBC000001FFFC0000003FFFFC000001FFFE0000003FFFF800
8809 0001FFFE0000003FFFF8000001FFFE0000003FFFF0000001FFFE0000003FFFF0000001FF
8810 FE0000003FFFE0000001FFFE0000003FFFE0000001FFFE0000003FFFE0000001FFFE0000
8811 003FFFE0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF
8812 C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000
8813 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE
8814 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE000000
8815 3FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0
8816 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001
8817 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00
8818 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F
8819 FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000
8820 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF
8821 FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000
8822 003FFFC0000001FFFE0000FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFF
8823 FFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007
8824 FFFFFFFF8051647BE35A>I<000FE00000003FF80000007FFC000001FFFF000001FFFF00
8825 0003FFFF800003FFFF800007FFFFC00007FFFFC00007FFFFC00007FFFFC00007FFFFC000
8826 07FFFFC00007FFFFC00003FFFF800003FFFF800001FFFF000001FFFF0000007FFC000000
8827 3FF80000000FE00000000000000000000000000000000000000000000000000000000000
8828 000000000000000000000000000000000000000000000000000000000000000000000000
8829 0000000000000000000000000007FF80007FFFFF80007FFFFF80007FFFFF80007FFFFF80
8830 007FFFFF80007FFFFF800000FFFF8000007FFF8000003FFF8000003FFF8000003FFF8000
8831 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000
8832 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F
8833 FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF
8834 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80
8835 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000
8836 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000
8837 3FFF8000003FFF8000003FFF8000003FFF8000FFFFFFFFC0FFFFFFFFC0FFFFFFFFC0FFFF
8838 FFFFC0FFFFFFFFC0FFFFFFFFC022657BE42C>I<00000001FC0000000007FF000000000F
8839 FF800000003FFFE00000003FFFE00000007FFFF00000007FFFF0000000FFFFF8000000FF
8840 FFF8000000FFFFF8000000FFFFF8000000FFFFF8000000FFFFF8000000FFFFF80000007F
8841 FFF00000007FFFF00000003FFFE00000003FFFE00000000FFF8000000007FF0000000001
8842 FC0000000000000000000000000000000000000000000000000000000000000000000000
8843 000000000000000000000000000000000000000000000000000000000000000000000000
8844 000000000000000000000000000000000000000000000000FFF800001FFFFFF800001FFF
8845 FFF800001FFFFFF800001FFFFFF800001FFFFFF800001FFFFFF80000000FFFF800000007
8846 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8847 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8848 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8849 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8850 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8851 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8852 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8853 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8854 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8855 FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003FFF800000003
8856 FFF800000003FFF800000003FFF800000003FFF800000003FFF807F00003FFF81FFC0003
8857 FFF83FFE0003FFF87FFF0003FFF8FFFF8007FFF0FFFF8007FFF0FFFF8007FFF0FFFF8007
8858 FFE0FFFF800FFFE0FFFF800FFFC0FFFF801FFFC0FFFF801FFF807FFF003FFF007FFE007F
8859 FE003FFC00FFFC001FFE03FFF0000FFFFFFFE00007FFFFFF800001FFFFFE0000007FFFF8
8860 00000007FF8000002D8288E431>I<0007FF80000000000000FFFFFF80000000000000FF
8861 FFFF80000000000000FFFFFF80000000000000FFFFFF80000000000000FFFFFF80000000
8862 000000FFFFFF8000000000000000FFFF80000000000000007FFF80000000000000003FFF
8863 80000000000000003FFF80000000000000003FFF80000000000000003FFF800000000000
8864 00003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000
8865 0000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000000
8866 3FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000
8867 000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF
8868 80000000000000003FFF80000000000000003FFF80000000000000003FFF800000000000
8869 00003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000
8870 0000000000003FFF80000000000000003FFF800003FFFFFF80003FFF800003FFFFFF8000
8871 3FFF800003FFFFFF80003FFF800003FFFFFF80003FFF800003FFFFFF80003FFF800003FF
8872 FFFF80003FFF8000003FFF8000003FFF8000000FFC0000003FFF8000001FF00000003FFF
8873 8000003FE00000003FFF800000FFC00000003FFF800001FF800000003FFF800003FF0000
8874 00003FFF800007FC000000003FFF80000FF8000000003FFF80003FF0000000003FFF8000
8875 7FE0000000003FFF8000FFC0000000003FFF8001FF00000000003FFF8003FE0000000000
8876 3FFF800FFC00000000003FFF801FF800000000003FFF803FF000000000003FFF807FC000
8877 000000003FFF80FFE000000000003FFF83FFF000000000003FFF87FFF800000000003FFF
8878 8FFFF800000000003FFF9FFFFC00000000003FFFBFFFFE00000000003FFFFFFFFE000000
8879 00003FFFFFFFFF00000000003FFFFFFFFF80000000003FFFFCFFFFC0000000003FFFF87F
8880 FFC0000000003FFFF07FFFE0000000003FFFE03FFFF0000000003FFFC01FFFF800000000
8881 3FFF801FFFF8000000003FFF800FFFFC000000003FFF8007FFFE000000003FFF8003FFFF
8882 000000003FFF8003FFFF000000003FFF8001FFFF800000003FFF8000FFFFC00000003FFF
8883 80007FFFE00000003FFF80007FFFE00000003FFF80003FFFF00000003FFF80001FFFF800
8884 00003FFF80000FFFFC0000003FFF80000FFFFC0000003FFF800007FFFE0000003FFF8000
8885 03FFFF0000003FFF800001FFFF0000003FFF800001FFFF8000003FFF800000FFFFC00000
8886 3FFF8000007FFFE000003FFF800000FFFFF000FFFFFFFFE00FFFFFFFF0FFFFFFFFE00FFF
8887 FFFFF0FFFFFFFFE00FFFFFFFF0FFFFFFFFE00FFFFFFFF0FFFFFFFFE00FFFFFFFF0FFFFFF
8888 FFE00FFFFFFFF04C647BE355>I<0007FF8000FFFFFF8000FFFFFF8000FFFFFF8000FFFF
8889 FF8000FFFFFF8000FFFFFF800000FFFF8000007FFF8000003FFF8000003FFF8000003FFF
8890 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80
8891 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000
8892 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000
8893 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F
8894 FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF
8895 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80
8896 00003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000
8897 003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF800000
8898 3FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003F
8899 FF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF
8900 8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF8000003FFF80
8901 00003FFF8000003FFF8000003FFF8000FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0
8902 FFFFFFFFE0FFFFFFFFE023647BE32C>I<0007FF80001FFF00000000FFF8000000FFFFFF
8903 8000FFFFF0000007FFFF800000FFFFFF8007FFFFFC00003FFFFFE00000FFFFFF801FFFFF
8904 FF0000FFFFFFF80000FFFFFF803FFFFFFF8001FFFFFFFC0000FFFFFF807FE07FFFC003FF
8905 03FFFE0000FFFFFF81FE001FFFE00FF000FFFF000000FFFF83F8000FFFF01FC0007FFF80
8906 00007FFF87F00007FFF03F80003FFF8000003FFF8FC00007FFF87E00003FFFC000003FFF
8907 8F800003FFF87C00001FFFC000003FFF9F000003FFFCF800001FFFE000003FFFBE000003
8908 FFFDF000001FFFE000003FFFBC000001FFFDE000000FFFE000003FFFFC000001FFFFE000
8909 000FFFF000003FFFF8000001FFFFC000000FFFF000003FFFF8000001FFFFC000000FFFF0
8910 00003FFFF0000001FFFF8000000FFFF000003FFFF0000001FFFF8000000FFFF000003FFF
8911 E0000001FFFF0000000FFFF000003FFFE0000001FFFF0000000FFFF000003FFFE0000001
8912 FFFF0000000FFFF000003FFFE0000001FFFF0000000FFFF000003FFFC0000001FFFE0000
8913 000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF0
8914 00003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFF
8915 C0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001
8916 FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000
8917 000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF0
8918 00003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFF
8919 C0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001
8920 FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000
8921 000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF0
8922 00003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFF
8923 C0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001
8924 FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000
8925 000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF0
8926 00003FFFC0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFF
8927 C0000001FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000003FFFC0000001
8928 FFFE0000000FFFF000003FFFC0000001FFFE0000000FFFF000FFFFFFFFF007FFFFFFFF80
8929 3FFFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFF
8930 FCFFFFFFFFF007FFFFFFFF803FFFFFFFFCFFFFFFFFF007FFFFFFFF803FFFFFFFFCFFFFFF
8931 FFF007FFFFFFFF803FFFFFFFFC7E417BC087>I<0007FF80001FFF00000000FFFFFF8000
8932 FFFFF0000000FFFFFF8007FFFFFC000000FFFFFF801FFFFFFF000000FFFFFF803FFFFFFF
8933 800000FFFFFF807FE07FFFC00000FFFFFF81FE001FFFE0000000FFFF83F8000FFFF00000
8934 007FFF87F00007FFF00000003FFF8FC00007FFF80000003FFF8F800003FFF80000003FFF
8935 9F000003FFFC0000003FFFBE000003FFFC0000003FFFBC000001FFFC0000003FFFFC0000
8936 01FFFE0000003FFFF8000001FFFE0000003FFFF8000001FFFE0000003FFFF0000001FFFE
8937 0000003FFFF0000001FFFE0000003FFFE0000001FFFE0000003FFFE0000001FFFE000000
8938 3FFFE0000001FFFE0000003FFFE0000001FFFE0000003FFFC0000001FFFE0000003FFFC0
8939 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001
8940 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00
8941 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F
8942 FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000
8943 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF
8944 FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000
8945 003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF
8946 C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000
8947 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE
8948 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE000000
8949 3FFFC0000001FFFE0000003FFFC0000001FFFE0000FFFFFFFFF007FFFFFFFF80FFFFFFFF
8950 F007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FFFFFFFF80FFFFFFFFF007FF
8951 FFFFFF80FFFFFFFFF007FFFFFFFF8051417BC05A>I<00000007FFE0000000000000FFFF
8952 FF000000000007FFFFFFE0000000001FFFFFFFF8000000007FFFFFFFFE00000001FFFE00
8953 7FFF80000007FFF0000FFFE000000FFFC00003FFF000001FFF800001FFF800003FFF0000
8954 00FFFC00007FFE0000007FFE0000FFFC0000003FFF0001FFF80000001FFF8003FFF80000
8955 001FFFC003FFF00000000FFFC007FFF00000000FFFE00FFFE000000007FFF00FFFE00000
8956 0007FFF01FFFE000000007FFF81FFFE000000007FFF81FFFE000000007FFF83FFFC00000
8957 0003FFFC3FFFC000000003FFFC3FFFC000000003FFFC7FFFC000000003FFFE7FFFC00000
8958 0003FFFE7FFFC000000003FFFE7FFFC000000003FFFEFFFFC000000003FFFFFFFFC00000
8959 0003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC00000
8960 0003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC00000
8961 0003FFFFFFFFC000000003FFFFFFFFC000000003FFFFFFFFC000000003FFFF7FFFC00000
8962 0003FFFE7FFFC000000003FFFE7FFFC000000003FFFE7FFFC000000003FFFE3FFFE00000
8963 0007FFFC3FFFE000000007FFFC3FFFE000000007FFFC1FFFE000000007FFF81FFFE00000
8964 0007FFF80FFFF00000000FFFF00FFFF00000000FFFF007FFF00000000FFFE003FFF80000
8965 001FFFC003FFF80000001FFFC001FFFC0000003FFF8000FFFE0000007FFF00007FFF0000
8966 00FFFE00003FFF800001FFFC00001FFFC00003FFF8000007FFF0000FFFE0000003FFFE00
8967 7FFFC0000000FFFFFFFFFF000000003FFFFFFFFC0000000007FFFFFFE00000000000FFFF
8968 FF00000000000007FFE000000048437CC151>I<0007FF8000FFF8000000FFFFFF800FFF
8969 FF800000FFFFFF807FFFFFF00000FFFFFF81FFFFFFFC0000FFFFFF87FFFFFFFF0000FFFF
8970 FF8FFF01FFFFC000FFFFFFBFF0003FFFE00000FFFFFFC0000FFFF000007FFFFF000007FF
8971 F800003FFFFE000003FFFC00003FFFF8000001FFFE00003FFFF0000000FFFF00003FFFE0
8972 000000FFFF80003FFFC00000007FFFC0003FFFC00000007FFFC0003FFFC00000003FFFE0
8973 003FFFC00000003FFFE0003FFFC00000001FFFF0003FFFC00000001FFFF0003FFFC00000
8974 001FFFF8003FFFC00000000FFFF8003FFFC00000000FFFF8003FFFC00000000FFFFC003F
8975 FFC00000000FFFFC003FFFC00000000FFFFC003FFFC000000007FFFC003FFFC000000007
8976 FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC0
8977 00000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE
8978 003FFFC000000007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC00000
8979 0007FFFE003FFFC000000007FFFE003FFFC000000007FFFE003FFFC00000000FFFFC003F
8980 FFC00000000FFFFC003FFFC00000000FFFFC003FFFC00000000FFFFC003FFFC00000000F
8981 FFF8003FFFC00000001FFFF8003FFFC00000001FFFF8003FFFC00000001FFFF0003FFFC0
8982 0000003FFFF0003FFFC00000003FFFE0003FFFC00000007FFFE0003FFFC00000007FFFC0
8983 003FFFE0000000FFFF80003FFFE0000000FFFF00003FFFF0000001FFFF00003FFFF80000
8984 03FFFE00003FFFFC000007FFFC00003FFFFF00000FFFF800003FFFFF80001FFFF000003F
8985 FFFFE0007FFFC000003FFFCFFC03FFFF8000003FFFC7FFFFFFFE0000003FFFC1FFFFFFF8
8986 0000003FFFC0FFFFFFE00000003FFFC01FFFFF000000003FFFC003FFE0000000003FFFC0
8987 000000000000003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000
8988 003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC00000
8989 00000000003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003F
8990 FFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC000000000
8991 0000003FFFC0000000000000003FFFC0000000000000003FFFC0000000000000003FFFC0
8992 000000000000003FFFC0000000000000003FFFC0000000000000FFFFFFFFF00000000000
8993 FFFFFFFFF00000000000FFFFFFFFF00000000000FFFFFFFFF00000000000FFFFFFFFF000
8994 00000000FFFFFFFFF000000000004F5D7BC05A>I<0000000FFF000001F000000001FFFF
8995 E00003F00000000FFFFFF80007F00000003FFFFFFE0007F0000000FFFFFFFF000FF00000
8996 03FFFF80FF801FF0000007FFFC001FC03FF000001FFFF0000FE03FF000003FFFE00003F0
8997 7FF000007FFF800001F8FFF00000FFFF800000FCFFF00001FFFF000000FFFFF00003FFFE
8998 0000007FFFF00003FFFE0000003FFFF00007FFFC0000003FFFF0000FFFF80000001FFFF0
8999 000FFFF80000001FFFF0001FFFF80000000FFFF0001FFFF00000000FFFF0003FFFF00000
9000 000FFFF0003FFFF000000007FFF0003FFFE000000007FFF0007FFFE000000007FFF0007F
9001 FFE000000007FFF0007FFFE000000007FFF0007FFFE000000007FFF000FFFFC000000007
9002 FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC0
9003 00000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF0
9004 00FFFFC000000007FFF000FFFFC000000007FFF000FFFFC000000007FFF000FFFFC00000
9005 0007FFF000FFFFC000000007FFF000FFFFC000000007FFF0007FFFC000000007FFF0007F
9006 FFE000000007FFF0007FFFE000000007FFF0007FFFE000000007FFF0003FFFE000000007
9007 FFF0003FFFE000000007FFF0003FFFF000000007FFF0001FFFF000000007FFF0001FFFF0
9008 00000007FFF0000FFFF80000000FFFF0000FFFF80000001FFFF00007FFFC0000001FFFF0
9009 0007FFFC0000003FFFF00003FFFE0000007FFFF00001FFFE0000007FFFF00000FFFF0000
9010 00FFFFF000007FFF800001FFFFF000003FFFC00007FFFFF000001FFFE0000FEFFFF00000
9011 0FFFF8003FCFFFF0000007FFFE01FF8FFFF0000001FFFFFFFF0FFFF00000007FFFFFFC0F
9012 FFF00000001FFFFFF00FFFF000000003FFFFC00FFFF0000000003FFE000FFFF000000000
9013 0000000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF0
9014 000000000000000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000
9015 000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF00000
9016 00000000000FFFF0000000000000000FFFF0000000000000000FFFF0000000000000000F
9017 FFF0000000000000000FFFF0000000000000000FFFF0000000000000000FFFF000000000
9018 0000000FFFF0000000000000000FFFF0000000000000000FFFF00000000000003FFFFFFF
9019 FC00000000003FFFFFFFFC00000000003FFFFFFFFC00000000003FFFFFFFFC0000000000
9020 3FFFFFFFFC00000000003FFFFFFFFC4E5D7BC055>I<000FFF000FFC00FFFFFF003FFF80
9021 FFFFFF00FFFFE0FFFFFF01FFFFF0FFFFFF03FFFFF8FFFFFF07FC7FFCFFFFFF0FE0FFFE00
9022 FFFF1F80FFFE007FFF3F01FFFF003FFF3E01FFFF003FFF7E01FFFF003FFF7C01FFFF003F
9023 FFF801FFFF003FFFF801FFFF003FFFF001FFFF003FFFF000FFFE003FFFF000FFFE003FFF
9024 E0007FFC003FFFE0003FF8003FFFE0000FE0003FFFC0000000003FFFC0000000003FFFC0
9025 000000003FFFC0000000003FFFC0000000003FFF80000000003FFF80000000003FFF8000
9026 0000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF800000
9027 00003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000
9028 003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF8000000000
9029 3FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003F
9030 FF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF
9031 80000000003FFF80000000003FFF80000000003FFF80000000003FFF80000000003FFF80
9032 000000FFFFFFFFF80000FFFFFFFFF80000FFFFFFFFF80000FFFFFFFFF80000FFFFFFFFF8
9033 0000FFFFFFFFF8000038417BC042>I<00003FFF8007800007FFFFF81F80001FFFFFFE7F
9034 80007FFFFFFFFF8001FFFFFFFFFF8003FFE001FFFF8007FF00001FFF800FFC000007FF80
9035 1FF0000003FF801FF0000000FF803FE0000000FF807FE00000007F807FC00000003F807F
9036 C00000003F80FFC00000003F80FFC00000001F80FFC00000001F80FFE00000001F80FFF0
9037 0000001F80FFF80000001F80FFFC0000000000FFFF0000000000FFFFE000000000FFFFFF
9038 000000007FFFFFF80000007FFFFFFFC000003FFFFFFFFC00003FFFFFFFFF00001FFFFFFF
9039 FFC0000FFFFFFFFFF00007FFFFFFFFF80003FFFFFFFFFC0001FFFFFFFFFE0000FFFFFFFF
9040 FF00003FFFFFFFFF80000FFFFFFFFFC00003FFFFFFFFC000007FFFFFFFE0000003FFFFFF
9041 F00000001FFFFFF000000000FFFFF0000000001FFFF80000000007FFF87C00000001FFF8
9042 FC00000000FFF8FC000000007FF8FE000000003FF8FE000000003FF8FE000000001FF8FF
9043 000000001FF8FF000000001FF8FF800000001FF0FF800000001FF0FFC00000001FF0FFC0
9044 0000003FF0FFE00000003FE0FFF00000007FE0FFF80000007FC0FFFE000000FF80FFFF00
9045 0003FF00FFFFC0000FFE00FFFFFC007FFC00FFDFFFFFFFF800FF0FFFFFFFF000FE03FFFF
9046 FFC000F8007FFFFE0000F0000FFFE0000035437BC140>I<000007E0000000000007E000
9047 0000000007E0000000000007E0000000000007E0000000000007E000000000000FE00000
9048 0000000FE000000000000FE000000000000FE000000000000FE000000000001FE0000000
9049 00001FE000000000001FE000000000003FE000000000003FE000000000007FE000000000
9050 007FE00000000000FFE00000000001FFE00000000001FFE00000000003FFE00000000007
9051 FFE0000000000FFFE0000000001FFFE0000000007FFFE000000001FFFFE00000000FFFFF
9052 FFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFFFFFE00FFFFFFFF
9053 FFFE00001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE000
9054 0000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE00000
9055 00001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000
9056 001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE000000000
9057 1FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001F
9058 FFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFFE0000000001FFF
9059 E0000000001FFFE0000000001FFFE0000000001FFFE0000FC0001FFFE0000FC0001FFFE0
9060 000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE000
9061 0FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0000FC0001FFFE0001F
9062 C0000FFFF0001F80000FFFF0001F80000FFFF0003F800007FFF0003F000007FFF8007F00
9063 0003FFFC007E000001FFFE00FC000000FFFF83FC0000007FFFFFF80000003FFFFFF00000
9064 000FFFFFC000000003FFFF80000000003FFC0000325C7DDA3F>I<0007FFC00000003FFE
9065 0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE0000FF
9066 FFFFC00007FFFFFE0000FFFFFFC00007FFFFFE0000FFFFFFC00007FFFFFE000000FFFFC0
9067 000007FFFE0000007FFFC0000003FFFE0000003FFFC0000001FFFE0000003FFFC0000001
9068 FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE00
9069 00003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003F
9070 FFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC000
9071 0001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FF
9072 FE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000
9073 003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFF
9074 C0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC00000
9075 01FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE
9076 0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE000000
9077 3FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0
9078 000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001FFFE0000003FFFC0000001
9079 FFFE0000003FFFC0000003FFFE0000003FFFC0000003FFFE0000003FFFC0000003FFFE00
9080 00003FFFC0000007FFFE0000003FFFC0000007FFFE0000003FFFC000000FFFFE0000001F
9081 FFC000000FFFFE0000001FFFC000001FFFFE0000001FFFC000003EFFFE0000000FFFE000
9082 007EFFFE0000000FFFE00000FCFFFF00000007FFF00001F8FFFF80000003FFF80007F0FF
9083 FFFF800001FFFF003FE0FFFFFF800000FFFFFFFFC0FFFFFF8000007FFFFFFF00FFFFFF80
9084 00001FFFFFFE00FFFFFF80000003FFFFF800FFFFFF800000003FFF8000FFF0000051427B
9085 C05A>I<FFFFFFFFC00003FFFFFCFFFFFFFFC00003FFFFFCFFFFFFFFC00003FFFFFCFFFF
9086 FFFFC00003FFFFFCFFFFFFFFC00003FFFFFCFFFFFFFFC00003FFFFFC007FFFC00000001F
9087 FE00003FFFE000000007F000003FFFE000000007F000001FFFF000000007E000001FFFF0
9088 0000000FE000000FFFF80000000FC000000FFFF80000001FC0000007FFF80000001F8000
9089 0007FFFC0000003F80000003FFFC0000003F00000003FFFE0000007F00000003FFFE0000
9090 007F00000001FFFF0000007E00000001FFFF000000FE00000000FFFF800000FC00000000
9091 FFFF800001FC000000007FFF800001F8000000007FFFC00003F8000000003FFFC00003F0
9092 000000003FFFE00007F0000000003FFFE00007F0000000001FFFF00007E0000000001FFF
9093 F0000FE0000000000FFFF8000FC0000000000FFFF8001FC00000000007FFFC001F800000
9094 000007FFFC003F800000000003FFFC003F000000000003FFFE007F000000000003FFFE00
9095 7F000000000001FFFF00FE000000000001FFFF00FE000000000000FFFF80FC0000000000
9096 00FFFF81FC0000000000007FFFC1F80000000000007FFFC3F80000000000003FFFC3F000
9097 00000000003FFFE7F00000000000001FFFE7E00000000000001FFFFFE00000000000001F
9098 FFFFE00000000000000FFFFFC00000000000000FFFFFC000000000000007FFFF80000000
9099 00000007FFFF8000000000000003FFFF0000000000000003FFFF0000000000000001FFFE
9100 0000000000000001FFFE0000000000000001FFFE0000000000000000FFFC000000000000
9101 0000FFFC00000000000000007FF800000000000000007FF800000000000000003FF00000
9102 0000000000003FF000000000000000001FE000000000000000001FE00000000000000000
9103 0FC0000000004E417DBF55>I<FFFFFFFF81FFFFFFFC0003FFFFFCFFFFFFFF81FFFFFFFC
9104 0003FFFFFCFFFFFFFF81FFFFFFFC0003FFFFFCFFFFFFFF81FFFFFFFC0003FFFFFCFFFFFF
9105 FF81FFFFFFFC0003FFFFFCFFFFFFFF81FFFFFFFC0003FFFFFC007FFF800000FFFC000000
9106 1FFE00007FFFC00000FFFE00000003F800003FFFC000007FFE00000003F000003FFFC000
9107 007FFF00000003F000003FFFE000003FFF00000007F000001FFFE000003FFF00000007E0
9108 00001FFFF000003FFF8000000FE000000FFFF000001FFF8000000FC000000FFFF000001F
9109 FFC000000FC000000FFFF800000FFFC000001FC0000007FFF800000FFFC000001F800000
9110 07FFFC00001FFFE000003F80000003FFFC00001FFFE000003F00000003FFFC00003FFFF0
9111 00003F00000003FFFE00003FFFF000007F00000001FFFE00003FFFF000007E00000001FF
9112 FF00007FFFF80000FE00000000FFFF00007FFFF80000FC00000000FFFF0000FFFFFC0000
9113 FC00000000FFFF8000FCFFFC0001FC000000007FFF8000FCFFFC0001F8000000007FFFC0
9114 01FCFFFE0003F8000000003FFFC001F87FFE0003F0000000003FFFC003F87FFF0003F000
9115 0000003FFFE003F03FFF0007F0000000001FFFE003F03FFF0007E0000000001FFFF007F0
9116 3FFF800FE0000000000FFFF007E01FFF800FC0000000000FFFF00FE01FFFC00FC0000000
9117 000FFFF80FC00FFFC01FC00000000007FFF80FC00FFFC01F800000000007FFFC1FC00FFF
9118 E03F800000000003FFFC1F8007FFE03F000000000003FFFC3F8007FFF03F000000000003
9119 FFFE3F0003FFF07F000000000001FFFE3F0003FFF07E000000000001FFFF7F0003FFF8FE
9120 000000000000FFFF7E0001FFF8FC000000000000FFFFFE0001FFFCFC000000000000FFFF
9121 FC0000FFFDFC0000000000007FFFFC0000FFFDF80000000000007FFFFC0000FFFFF80000
9122 000000003FFFF800007FFFF00000000000003FFFF800007FFFF00000000000003FFFF000
9123 003FFFF00000000000001FFFF000003FFFE00000000000001FFFF000003FFFE000000000
9124 00000FFFE000001FFFC00000000000000FFFE000001FFFC00000000000000FFFC000000F
9125 FFC000000000000007FFC000000FFF8000000000000007FFC000000FFF80000000000000
9126 03FF80000007FF0000000000000003FF80000007FF0000000000000003FF00000003FF00
9127 00000000000001FF00000003FE0000000000000001FF00000003FE0000000000000000FE
9128 00000001FC00000000000000007C00000000F8000000006E417DBF75>I<7FFFFFFFC000
9129 7FFFFFF87FFFFFFFC0007FFFFFF87FFFFFFFC0007FFFFFF87FFFFFFFC0007FFFFFF87FFF
9130 FFFFC0007FFFFFF87FFFFFFFC0007FFFFFF8001FFFF8000007FFF000000FFFF8000001FF
9131 00000007FFFC000001FE00000003FFFE000003FC00000001FFFF000007F800000001FFFF
9132 80000FF000000000FFFF80001FE0000000007FFFC0001FE0000000003FFFE0003FC00000
9133 00001FFFF0007F80000000001FFFF800FF00000000000FFFF801FE000000000007FFFC03
9134 FC000000000003FFFE07F8000000000001FFFF07F8000000000001FFFF8FF00000000000
9135 00FFFF9FE00000000000007FFFFFC00000000000003FFFFF800000000000001FFFFF0000
9136 00000000001FFFFE000000000000000FFFFC0000000000000007FFFC0000000000000003
9137 FFFE0000000000000001FFFF0000000000000001FFFF8000000000000000FFFF80000000
9138 000000007FFFC0000000000000007FFFE000000000000000FFFFF000000000000001FFFF
9139 F800000000000003FFFFF800000000000007FFFFFC0000000000000FF3FFFE0000000000
9140 001FE1FFFF0000000000001FC0FFFF8000000000003FC0FFFF8000000000007F807FFFC0
9141 0000000000FF003FFFE00000000001FE001FFFF00000000003FC000FFFF80000000007F8
9142 000FFFF80000000007F00007FFFC000000000FF00003FFFE000000001FE00001FFFF0000
9143 00003FC00000FFFF800000007F800000FFFF80000000FF0000007FFFC0000001FE000000
9144 3FFFE0000001FC0000001FFFF0000007FC0000000FFFF800003FFF0000000FFFF800FFFF
9145 FFF00001FFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFF00001FFFF
9146 FFFFFFFFFFF00001FFFFFFFFFFFFFFF00001FFFFFFFF50407EBF55>I<FFFFFFFFC00003
9147 FFFFFCFFFFFFFFC00003FFFFFCFFFFFFFFC00003FFFFFCFFFFFFFFC00003FFFFFCFFFFFF
9148 FFC00003FFFFFCFFFFFFFFC00003FFFFFC003FFFC00000001FFE00003FFFE000000007F0
9149 00003FFFE000000007F000001FFFF000000007E000001FFFF00000000FE000000FFFF800
9150 00000FC000000FFFF80000001FC0000007FFFC0000001F80000007FFFC0000003F800000
9151 03FFFC0000003F00000003FFFE0000007F00000001FFFE0000007E00000001FFFF000000
9152 FE00000001FFFF000000FE00000000FFFF800001FC00000000FFFF800001FC000000007F
9153 FFC00001F8000000007FFFC00003F8000000003FFFE00003F0000000003FFFE00007F000
9154 0000001FFFE00007E0000000001FFFF0000FE0000000000FFFF0000FC0000000000FFFF8
9155 001FC0000000000FFFF8001FC00000000007FFFC003F800000000007FFFC003F80000000
9156 0003FFFE003F000000000003FFFE007F000000000001FFFF007E000000000001FFFF00FE
9157 000000000000FFFF00FC000000000000FFFF81FC0000000000007FFF81F8000000000000
9158 7FFFC3F80000000000007FFFC3F80000000000003FFFE7F00000000000003FFFE7F00000
9159 000000001FFFF7E00000000000001FFFFFE00000000000000FFFFFC00000000000000FFF
9160 FFC000000000000007FFFF8000000000000007FFFF8000000000000003FFFF0000000000
9161 000003FFFF0000000000000003FFFF0000000000000001FFFE0000000000000001FFFE00
9162 00000000000000FFFC0000000000000000FFFC00000000000000007FF800000000000000
9163 007FF800000000000000003FF000000000000000003FF000000000000000001FE0000000
9164 00000000001FE000000000000000001FE000000000000000001FC000000000000000001F
9165 C000000000000000001F8000000000000000003F8000000000000000003F000000000000
9166 0000007F0000000000000000007E000000000000000000FE000000000007E00000FC0000
9167 0000001FF80001FC00000000003FFC0001FC00000000007FFE0003F800000000007FFE00
9168 03F80000000000FFFF0007F00000000000FFFF0007F00000000000FFFF000FE000000000
9169 00FFFF000FC00000000000FFFF001FC00000000000FFFF003F8000000000007FFE007F00
9170 00000000007FFE00FE0000000000007FFC01FE0000000000003FF807FC0000000000001F
9171 F03FF00000000000000FFFFFE000000000000007FFFFC000000000000003FFFF00000000
9172 00000000FFFC00000000000000001FE0000000000000004E5D7DBF55>I<01FC000003F8
9173 0007FF00000FFE000FFF80001FFF001FFFC0003FFF803FFFE0007FFFC07FFFF000FFFFE0
9174 7FFFF000FFFFE07FFFF000FFFFE0FFFFF000FFFFF0FFFFF000FFFFF0FFFFF000FFFFF0FF
9175 FFF000FFFFF07FFFF000FFFFE07FFFF000FFFFE07FFFF000FFFFE03FFFE0007FFFC01FFF
9176 C0003FFF800FFF80001FFF0007FF00000FFE0001FC000003F800341472E451>127
9177 D E /Fu 19 122 df<0000000000000003F800000000000000000000000000000007FC00
9178 00000000000000000000000000000FFE0000000000000000000000000000000FFE000000
9179 0000000000000000000000001FFF0000000000000000000000000000001FFF0000000000
9180 000000000000000000001FFF0000000000000000000000000000003FFF80000000000000
9181 00000000000000003FFF8000000000000000000000000000007FFFC00000000000000000
9182 0000000000007FFFC000000000000000000000000000007FFFC000000000000000000000
9183 00000000FFFFE00000000000000000000000000000FFFFE0000000000000000000000000
9184 0001FFFFF00000000000000000000000000001FFFFF00000000000000000000000000001
9185 FFFFF00000000000000000000000000003FFFFF80000000000000000000000000003FFFF
9186 F80000000000000000000000000007FFFFFC0000000000000000000000000007FFFFFC00
9187 00000000000000000000000007FFFFFC000000000000000000000000000FFFFFFE000000
9188 000000000000000000000FFFFFFE000000000000000000000000001FFFFFFF0000000000
9189 00000000000000001FFFFFFF000000000000000000000000001FFFFFFF00000000000000
9190 0000000000003FFFFFFF800000000000000000000000003FFFFFFF800000000000000000
9191 000000007FFFFFFFC00000000000000000000000007FFFFFFFC000000000000000000000
9192 00007FBFFFFFC0000000000000000000000000FF9FFFFFE0000000000000000000000000
9193 FF1FFFFFE0000000000000000000000001FF0FFFFFF0000000000000000000000001FF0F
9194 FFFFF0000000000000000000000001FE0FFFFFF0000000000000000000000003FE07FFFF
9195 F8000000000000000000000003FC07FFFFF8000000000000000000000007FC03FFFFFC00
9196 0000000000000000000007FC03FFFFFC000000000000000000000007F803FFFFFC000000
9197 00000000000000000FF801FFFFFE00000000000000000000000FF001FFFFFE0000000000
9198 0000000000001FF000FFFFFF00000000000000000000001FF000FFFFFF00000000000000
9199 000000001FE000FFFFFF00000000000000000000003FE0007FFFFF800000000000000000
9200 00003FC0007FFFFF80000000000000000000007FC0003FFFFFC000000000000000000000
9201 7FC0003FFFFFC0000000000000000000007F80003FFFFFC000000000000000000000FF80
9202 001FFFFFE000000000000000000000FF00001FFFFFE000000000000000000001FF00000F
9203 FFFFF000000000000000000001FF00000FFFFFF000000000000000000001FE00000FFFFF
9204 F000000000000000000003FE000007FFFFF800000000000000000003FC000007FFFFF800
9205 000000000000000007FC000003FFFFFC00000000000000000007FC000003FFFFFC000000
9206 00000000000007F8000003FFFFFC0000000000000000000FF8000001FFFFFE0000000000
9207 000000000FF0000001FFFFFE0000000000000000001FF0000000FFFFFF00000000000000
9208 00001FF0000000FFFFFF0000000000000000001FE0000000FFFFFF000000000000000000
9209 3FE00000007FFFFF8000000000000000003FC00000007FFFFF8000000000000000007FC0
9210 0000003FFFFFC000000000000000007FC00000003FFFFFC000000000000000007F800000
9211 003FFFFFC00000000000000000FF800000001FFFFFE00000000000000000FF000000001F
9212 FFFFE00000000000000001FF000000000FFFFFF00000000000000001FF000000000FFFFF
9213 F00000000000000001FE000000000FFFFFF00000000000000003FE0000000007FFFFF800
9214 00000000000003FC0000000007FFFFF80000000000000007FFFFFFFFFFFFFFFFFC000000
9215 0000000007FFFFFFFFFFFFFFFFFC0000000000000007FFFFFFFFFFFFFFFFFC0000000000
9216 00000FFFFFFFFFFFFFFFFFFE000000000000000FFFFFFFFFFFFFFFFFFE00000000000000
9217 1FFFFFFFFFFFFFFFFFFF000000000000001FFFFFFFFFFFFFFFFFFF000000000000001FFF
9218 FFFFFFFFFFFFFFFF000000000000003FE000000000007FFFFF800000000000003FC00000
9219 0000007FFFFF800000000000007FC000000000003FFFFFC00000000000007FC000000000
9220 003FFFFFC00000000000007F8000000000003FFFFFC0000000000000FF8000000000001F
9221 FFFFE0000000000000FF8000000000001FFFFFE0000000000001FF0000000000000FFFFF
9222 F0000000000001FF0000000000000FFFFFF0000000000001FE0000000000000FFFFFF000
9223 0000000003FE00000000000007FFFFF8000000000003FE00000000000007FFFFF8000000
9224 000007FC00000000000003FFFFFC000000000007FC00000000000003FFFFFC0000000000
9225 07F800000000000003FFFFFC00000000000FF800000000000001FFFFFE00000000000FF8
9226 00000000000001FFFFFE00000000000FF000000000000000FFFFFE00000000001FF00000
9227 0000000000FFFFFF00000000001FE000000000000000FFFFFF00000000003FE000000000
9228 0000007FFFFF80000000003FE0000000000000007FFFFF80000000003FC0000000000000
9229 003FFFFF80000000007FC0000000000000003FFFFFC0000000007F80000000000000003F
9230 FFFFC000000007FFFC000000000000001FFFFFE00000FFFFFFFFFF800000001FFFFFFFFF
9231 FFFFE0FFFFFFFFFF800000001FFFFFFFFFFFFFE0FFFFFFFFFF800000001FFFFFFFFFFFFF
9232 E0FFFFFFFFFF800000001FFFFFFFFFFFFFE0FFFFFFFFFF800000001FFFFFFFFFFFFFE0FF
9233 FFFFFFFF800000001FFFFFFFFFFFFFE0FFFFFFFFFF800000001FFFFFFFFFFFFFE0FFFFFF
9234 FFFF800000001FFFFFFFFFFFFFE0837979F892>65 D<FFFFFFFFFFFFFFFFFFFFFFFFFF00
9235 00FFFFFFFFFFFFFFFFFFFFFFFFFF0000FFFFFFFFFFFFFFFFFFFFFFFFFF0000FFFFFFFFFF
9236 FFFFFFFFFFFFFFFF0000FFFFFFFFFFFFFFFFFFFFFFFFFF8000FFFFFFFFFFFFFFFFFFFFFF
9237 FFFF8000FFFFFFFFFFFFFFFFFFFFFFFFFF8000FFFFFFFFFFFFFFFFFFFFFFFFFF80000000
9238 3FFFFF800000000FFFFFFF800000003FFFFF80000000007FFFFF800000003FFFFF800000
9239 00000FFFFF800000003FFFFF800000000003FFFF800000003FFFFF800000000000FFFFC0
9240 0000003FFFFF8000000000003FFFC00000003FFFFF8000000000001FFFC00000003FFFFF
9241 8000000000000FFFC00000003FFFFF80000000000007FFC00000003FFFFF800000000000
9242 03FFC00000003FFFFF80000000000001FFC00000003FFFFF80000000000001FFC0000000
9243 3FFFFF80000000000000FFC00000003FFFFF80000000000000FFE00000003FFFFF800000
9244 000000007FE00000003FFFFF800000000000007FE00000003FFFFF800000000000003FE0
9245 0000003FFFFF800000000000003FE00000003FFFFF800000000000003FE00000003FFFFF
9246 800000000000001FE00000003FFFFF800000000000001FE00000003FFFFF800000000000
9247 001FF00000003FFFFF800000000000001FF00000003FFFFF800000000000000FF0000000
9248 3FFFFF80000007F800000FF00000003FFFFF80000007F800000FF00000003FFFFF800000
9249 07F800000FF00000003FFFFF80000007F800000FF00000003FFFFF80000007F800000FF0
9250 0000003FFFFF80000007F8000007F80000003FFFFF80000007F8000007F80000003FFFFF
9251 80000007F8000007F80000003FFFFF80000007F8000007F80000003FFFFF8000000FF800
9252 0000000000003FFFFF8000000FF8000000000000003FFFFF8000000FF800000000000000
9253 3FFFFF8000001FF8000000000000003FFFFF8000001FF8000000000000003FFFFF800000
9254 3FF8000000000000003FFFFF8000003FF8000000000000003FFFFF8000007FF800000000
9255 0000003FFFFF800001FFF8000000000000003FFFFF800007FFF8000000000000003FFFFF
9256 80003FFFF8000000000000003FFFFFFFFFFFFFF8000000000000003FFFFFFFFFFFFFF800
9257 0000000000003FFFFFFFFFFFFFF8000000000000003FFFFFFFFFFFFFF800000000000000
9258 3FFFFFFFFFFFFFF8000000000000003FFFFFFFFFFFFFF8000000000000003FFFFFFFFFFF
9259 FFF8000000000000003FFFFFFFFFFFFFF8000000000000003FFFFF80003FFFF800000000
9260 0000003FFFFF800007FFF8000000000000003FFFFF800001FFF8000000000000003FFFFF
9261 8000007FF8000000000000003FFFFF8000003FF8000000000000003FFFFF8000003FF800
9262 0000000000003FFFFF8000001FF8000000000000003FFFFF8000001FF800000000000000
9263 3FFFFF8000000FF8000000000000003FFFFF8000000FF8000000000000003FFFFF800000
9264 0FF80000001FE000003FFFFF80000007F80000001FE000003FFFFF80000007F80000001F
9265 E000003FFFFF80000007F80000003FC000003FFFFF80000007F80000003FC000003FFFFF
9266 80000007F80000003FC000003FFFFF80000007F80000003FC000003FFFFF80000007F800
9267 00003FC000003FFFFF80000007F80000003FC000003FFFFF80000007F80000007FC00000
9268 3FFFFF80000000000000007F8000003FFFFF80000000000000007F8000003FFFFF800000
9269 00000000007F8000003FFFFF80000000000000007F8000003FFFFF8000000000000000FF
9270 8000003FFFFF8000000000000000FF8000003FFFFF8000000000000000FF8000003FFFFF
9271 8000000000000001FF0000003FFFFF8000000000000001FF0000003FFFFF800000000000
9272 0001FF0000003FFFFF8000000000000003FF0000003FFFFF8000000000000003FF000000
9273 3FFFFF8000000000000007FF0000003FFFFF8000000000000007FE0000003FFFFF800000
9274 000000000FFE0000003FFFFF800000000000000FFE0000003FFFFF800000000000001FFE
9275 0000003FFFFF800000000000001FFE0000003FFFFF800000000000003FFE0000003FFFFF
9276 800000000000007FFE0000003FFFFF80000000000000FFFC0000003FFFFF800000000000
9277 01FFFC0000003FFFFF80000000000003FFFC0000003FFFFF8000000000000FFFFC000000
9278 3FFFFF8000000000003FFFFC0000003FFFFF800000000000FFFFFC0000003FFFFF800000
9279 000003FFFFFC0000003FFFFF80000000003FFFFFF80000003FFFFF8000000007FFFFFFF8
9280 00FFFFFFFFFFFFFFFFFFFFFFFFFFF800FFFFFFFFFFFFFFFFFFFFFFFFFFF800FFFFFFFFFF
9281 FFFFFFFFFFFFFFFFF800FFFFFFFFFFFFFFFFFFFFFFFFFFF800FFFFFFFFFFFFFFFFFFFFFF
9282 FFFFF800FFFFFFFFFFFFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFFFFFFFFFFFF000FFFF
9283 FFFFFFFFFFFFFFFFFFFFFFF00073757AF47F>69 D<FFFFFFFFFFFFFFE00001FFFFFFFFFF
9284 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9285 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9286 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9287 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC000003FFFFF800000000000007FFFFF
9288 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9289 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9290 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9291 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9292 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9293 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9294 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9295 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9296 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9297 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9298 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9299 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9300 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9301 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9302 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9303 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9304 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9305 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9306 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9307 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9308 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9309 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9310 00000000003FFFFFFFFFFFFFFFFFFFFFFFFF00000000003FFFFFFFFFFFFFFFFFFFFFFFFF
9311 00000000003FFFFFFFFFFFFFFFFFFFFFFFFF00000000003FFFFFFFFFFFFFFFFFFFFFFFFF
9312 00000000003FFFFFFFFFFFFFFFFFFFFFFFFF00000000003FFFFFFFFFFFFFFFFFFFFFFFFF
9313 00000000003FFFFFFFFFFFFFFFFFFFFFFFFF00000000003FFFFFFFFFFFFFFFFFFFFFFFFF
9314 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9315 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9316 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9317 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9318 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9319 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9320 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9321 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9322 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9323 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9324 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9325 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9326 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9327 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9328 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9329 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9330 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9331 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9332 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9333 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9334 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9335 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9336 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9337 00000000003FFFFF800000000000007FFFFF00000000003FFFFF800000000000007FFFFF
9338 00000000003FFFFF800000000000007FFFFF000000FFFFFFFFFFFFFFE00001FFFFFFFFFF
9339 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9340 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9341 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFF
9342 FFFFC0FFFFFFFFFFFFFFE00001FFFFFFFFFFFFFFC08A767AF597>72
9343 D<FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFF
9344 FFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF800001FFFFFC000
9345 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9346 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9347 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9348 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9349 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9350 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9351 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9352 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9353 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9354 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9355 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9356 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9357 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9358 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9359 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9360 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9361 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9362 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9363 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9364 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9365 0000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001F
9366 FFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC0000000001FFFFFC000
9367 0000001FFFFFC0000000001FFFFFC00000FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFF
9368 FFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFFF8FFFFFFFFFFFFFF
9369 F8FFFFFFFFFFFFFFF83D767BF548>I<FFFFFFFFFFC000000000000000000001FFFFFFFF
9370 FF80FFFFFFFFFFE000000000000000000003FFFFFFFFFF80FFFFFFFFFFF0000000000000
9371 00000007FFFFFFFFFF80FFFFFFFFFFF000000000000000000007FFFFFFFFFF80FFFFFFFF
9372 FFF000000000000000000007FFFFFFFFFF80FFFFFFFFFFF80000000000000000000FFFFF
9373 FFFFFF80FFFFFFFFFFF80000000000000000000FFFFFFFFFFF80FFFFFFFFFFFC00000000
9374 00000000001FFFFFFFFFFF8000003FFFFFFC0000000000000000001FFFFFFE0000000000
9375 3FFFFFFE0000000000000000003FBFFFFE00000000003FFFFFFE0000000000000000003F
9376 BFFFFE00000000003FEFFFFF0000000000000000007F3FFFFE00000000003FEFFFFF0000
9377 000000000000007F3FFFFE00000000003FEFFFFF0000000000000000007F3FFFFE000000
9378 00003FE7FFFF800000000000000000FE3FFFFE00000000003FE7FFFF8000000000000000
9379 00FE3FFFFE00000000003FE3FFFFC00000000000000001FC3FFFFE00000000003FE3FFFF
9380 C00000000000000001FC3FFFFE00000000003FE1FFFFE00000000000000003F83FFFFE00
9381 000000003FE1FFFFE00000000000000003F83FFFFE00000000003FE0FFFFF00000000000
9382 000007F03FFFFE00000000003FE0FFFFF00000000000000007F03FFFFE00000000003FE0
9383 FFFFF00000000000000007F03FFFFE00000000003FE07FFFF8000000000000000FE03FFF
9384 FE00000000003FE07FFFF8000000000000000FE03FFFFE00000000003FE03FFFFC000000
9385 000000001FC03FFFFE00000000003FE03FFFFC000000000000001FC03FFFFE0000000000
9386 3FE01FFFFE000000000000003F803FFFFE00000000003FE01FFFFE000000000000003F80
9387 3FFFFE00000000003FE00FFFFF000000000000007F003FFFFE00000000003FE00FFFFF00
9388 0000000000007F003FFFFE00000000003FE00FFFFF000000000000007F003FFFFE000000
9389 00003FE007FFFF80000000000000FE003FFFFE00000000003FE007FFFF80000000000000
9390 FE003FFFFE00000000003FE003FFFFC0000000000001FC003FFFFE00000000003FE003FF
9391 FFC0000000000001FC003FFFFE00000000003FE001FFFFE0000000000003F8003FFFFE00
9392 000000003FE001FFFFE0000000000003F8003FFFFE00000000003FE001FFFFE000000000
9393 0003F8003FFFFE00000000003FE000FFFFF0000000000007F0003FFFFE00000000003FE0
9394 00FFFFF0000000000007F0003FFFFE00000000003FE0007FFFF800000000000FE0003FFF
9395 FE00000000003FE0007FFFF800000000000FE0003FFFFE00000000003FE0003FFFFC0000
9396 0000001FC0003FFFFE00000000003FE0003FFFFC00000000001FC0003FFFFE0000000000
9397 3FE0001FFFFE00000000003F80003FFFFE00000000003FE0001FFFFE00000000003F8000
9398 3FFFFE00000000003FE0001FFFFE00000000003F80003FFFFE00000000003FE0000FFFFF
9399 00000000007F00003FFFFE00000000003FE0000FFFFF00000000007F00003FFFFE000000
9400 00003FE00007FFFF8000000000FE00003FFFFE00000000003FE00007FFFF8000000000FE
9401 00003FFFFE00000000003FE00003FFFFC000000001FC00003FFFFE00000000003FE00003
9402 FFFFC000000001FC00003FFFFE00000000003FE00001FFFFE000000003F800003FFFFE00
9403 000000003FE00001FFFFE000000003F800003FFFFE00000000003FE00001FFFFE0000000
9404 03F800003FFFFE00000000003FE00000FFFFF000000007F000003FFFFE00000000003FE0
9405 0000FFFFF000000007F000003FFFFE00000000003FE000007FFFF80000000FE000003FFF
9406 FE00000000003FE000007FFFF80000000FE000003FFFFE00000000003FE000003FFFFC00
9407 00001FC000003FFFFE00000000003FE000003FFFFC0000001FC000003FFFFE0000000000
9408 3FE000003FFFFC0000001FC000003FFFFE00000000003FE000001FFFFE0000003F800000
9409 3FFFFE00000000003FE000001FFFFE0000003F8000003FFFFE00000000003FE000000FFF
9410 FF0000007F0000003FFFFE00000000003FE000000FFFFF0000007F0000003FFFFE000000
9411 00003FE0000007FFFF800000FE0000003FFFFE00000000003FE0000007FFFF800000FE00
9412 00003FFFFE00000000003FE0000003FFFFC00001FC0000003FFFFE00000000003FE00000
9413 03FFFFC00001FC0000003FFFFE00000000003FE0000003FFFFC00001FC0000003FFFFE00
9414 000000003FE0000001FFFFE00003F80000003FFFFE00000000003FE0000001FFFFE00003
9415 F80000003FFFFE00000000003FE0000000FFFFF00007F00000003FFFFE00000000003FE0
9416 000000FFFFF00007F00000003FFFFE00000000003FE00000007FFFF8000FE00000003FFF
9417 FE00000000003FE00000007FFFF8000FE00000003FFFFE00000000003FE00000003FFFFC
9418 001FC00000003FFFFE00000000003FE00000003FFFFC001FC00000003FFFFE0000000000
9419 3FE00000003FFFFC001FC00000003FFFFE00000000003FE00000001FFFFE003F80000000
9420 3FFFFE00000000003FE00000001FFFFE003F800000003FFFFE00000000003FE00000000F
9421 FFFF007F000000003FFFFE00000000003FE00000000FFFFF007F000000003FFFFE000000
9422 00003FE000000007FFFF80FE000000003FFFFE00000000003FE000000007FFFF80FE0000
9423 00003FFFFE00000000003FE000000007FFFF81FC000000003FFFFE00000000003FE00000
9424 0003FFFFC1FC000000003FFFFE00000000003FE000000003FFFFC1FC000000003FFFFE00
9425 000000003FE000000001FFFFE3F8000000003FFFFE00000000003FE000000001FFFFE3F8
9426 000000003FFFFE00000000003FE000000000FFFFF7F0000000003FFFFE00000000003FE0
9427 00000000FFFFF7F0000000003FFFFE00000000003FE0000000007FFFFFE0000000003FFF
9428 FE00000000003FE0000000007FFFFFE0000000003FFFFE00000000003FE0000000007FFF
9429 FFE0000000003FFFFE00000000003FE0000000003FFFFFC0000000003FFFFE0000000000
9430 3FE0000000003FFFFFC0000000003FFFFE00000000003FE0000000001FFFFF8000000000
9431 3FFFFE00000000003FE0000000001FFFFF80000000003FFFFE00000000003FE000000000
9432 0FFFFF00000000003FFFFE00000000003FE0000000000FFFFF00000000003FFFFE000000
9433 00003FE00000000007FFFE00000000003FFFFE00000000003FE00000000007FFFE000000
9434 00003FFFFE00000000003FE00000000007FFFE00000000003FFFFE00000000003FE00000
9435 000003FFFC00000000003FFFFE00000000003FE00000000003FFFC00000000003FFFFE00
9436 00000003FFFE0000000001FFF800000000003FFFFE000000FFFFFFFFFFF8000001FFF800
9437 0000FFFFFFFFFFFFFF80FFFFFFFFFFF8000000FFF0000000FFFFFFFFFFFFFF80FFFFFFFF
9438 FFF8000000FFF0000000FFFFFFFFFFFFFF80FFFFFFFFFFF80000007FE0000000FFFFFFFF
9439 FFFFFF80FFFFFFFFFFF80000007FE0000000FFFFFFFFFFFFFF80FFFFFFFFFFF80000007F
9440 E0000000FFFFFFFFFFFFFF80FFFFFFFFFFF80000003FC0000000FFFFFFFFFFFFFF80FFFF
9441 FFFFFFF80000001F80000000FFFFFFFFFFFFFF80A97679F5B8>77
9442 D<FFFFFFFFFFFFFFFFFFFC0000000000FFFFFFFFFFFFFFFFFFFFF000000000FFFFFFFFFF
9443 FFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFE0000000FFFFFFFFFFFFFFFFFFFFFF
9444 FC000000FFFFFFFFFFFFFFFFFFFFFFFF000000FFFFFFFFFFFFFFFFFFFFFFFFC00000FFFF
9445 FFFFFFFFFFFFFFFFFFFFE0000000003FFFFF00000001FFFFFFF8000000003FFFFF000000
9446 000FFFFFFC000000003FFFFF0000000001FFFFFE000000003FFFFF00000000007FFFFF80
9447 0000003FFFFF00000000003FFFFFC00000003FFFFF00000000000FFFFFC00000003FFFFF
9448 000000000007FFFFE00000003FFFFF000000000007FFFFF00000003FFFFF000000000003
9449 FFFFF80000003FFFFF000000000001FFFFF80000003FFFFF000000000001FFFFFC000000
9450 3FFFFF000000000000FFFFFE0000003FFFFF000000000000FFFFFE0000003FFFFF000000
9451 000000FFFFFF0000003FFFFF000000000000FFFFFF0000003FFFFF0000000000007FFFFF
9452 0000003FFFFF0000000000007FFFFF8000003FFFFF0000000000007FFFFF8000003FFFFF
9453 0000000000007FFFFF8000003FFFFF0000000000007FFFFF8000003FFFFF000000000000
9454 7FFFFFC000003FFFFF0000000000007FFFFFC000003FFFFF0000000000007FFFFFC00000
9455 3FFFFF0000000000007FFFFFC000003FFFFF0000000000007FFFFFC000003FFFFF000000
9456 0000007FFFFFC000003FFFFF0000000000007FFFFFC000003FFFFF0000000000007FFFFF
9457 C000003FFFFF0000000000007FFFFFC000003FFFFF0000000000007FFFFFC000003FFFFF
9458 0000000000007FFFFFC000003FFFFF0000000000007FFFFF8000003FFFFF000000000000
9459 7FFFFF8000003FFFFF0000000000007FFFFF8000003FFFFF0000000000007FFFFF800000
9460 3FFFFF000000000000FFFFFF0000003FFFFF000000000000FFFFFF0000003FFFFF000000
9461 000000FFFFFE0000003FFFFF000000000000FFFFFE0000003FFFFF000000000000FFFFFC
9462 0000003FFFFF000000000001FFFFFC0000003FFFFF000000000001FFFFF80000003FFFFF
9463 000000000003FFFFF00000003FFFFF000000000007FFFFF00000003FFFFF000000000007
9464 FFFFE00000003FFFFF00000000001FFFFFC00000003FFFFF00000000003FFFFF80000000
9465 3FFFFF00000000007FFFFF000000003FFFFF0000000001FFFFFE000000003FFFFF000000
9466 000FFFFFF8000000003FFFFF00000001FFFFFFF0000000003FFFFFFFFFFFFFFFFFFFC000
9467 0000003FFFFFFFFFFFFFFFFFFF00000000003FFFFFFFFFFFFFFFFFFC00000000003FFFFF
9468 FFFFFFFFFFFFF000000000003FFFFFFFFFFFFFFFFF0000000000003FFFFFFFFFFFFFFFF8
9469 0000000000003FFFFFFFFFFFFFFC000000000000003FFFFF800000000000000000000000
9470 3FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000
9471 0000000000000000003FFFFF8000000000000000000000003FFFFF800000000000000000
9472 0000003FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF
9473 8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000000000
9474 0000000000003FFFFF8000000000000000000000003FFFFF800000000000000000000000
9475 3FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000
9476 0000000000000000003FFFFF8000000000000000000000003FFFFF800000000000000000
9477 0000003FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF
9478 8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000000000
9479 0000000000003FFFFF8000000000000000000000003FFFFF800000000000000000000000
9480 3FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000
9481 0000000000000000003FFFFF8000000000000000000000003FFFFF800000000000000000
9482 0000003FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF
9483 8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000000000
9484 0000000000003FFFFF8000000000000000000000003FFFFF800000000000000000000000
9485 3FFFFF8000000000000000000000003FFFFF8000000000000000000000003FFFFF800000
9486 0000000000000000003FFFFF8000000000000000000000003FFFFF800000000000000000
9487 0000003FFFFF8000000000000000000000003FFFFF80000000000000000000FFFFFFFFFF
9488 FFFFE000000000000000FFFFFFFFFFFFFFE000000000000000FFFFFFFFFFFFFFE0000000
9489 00000000FFFFFFFFFFFFFFE000000000000000FFFFFFFFFFFFFFE000000000000000FFFF
9490 FFFFFFFFFFE000000000000000FFFFFFFFFFFFFFE000000000000000FFFFFFFFFFFFFFE0
9491 0000000000000072767AF584>80 D<00000003FFF80000000E000000007FFFFFC000003F
9492 00000003FFFFFFFC00007F0000001FFFFFFFFF0000FF0000007FFFFFFFFFC001FF000001
9493 FFFFFFFFFFF003FF000003FFFFFFFFFFFC07FF00000FFFFF000FFFFE07FF00001FFFF000
9494 007FFF8FFF00003FFFC000000FFFDFFF00007FFF00000003FFFFFF0000FFFE00000000FF
9495 FFFF0001FFF8000000003FFFFF0003FFF8000000001FFFFF0003FFF0000000000FFFFF00
9496 07FFE00000000007FFFF000FFFE00000000003FFFF000FFFC00000000001FFFF001FFFC0
9497 0000000000FFFF001FFF8000000000007FFF003FFF8000000000003FFF003FFF80000000
9498 00003FFF003FFF0000000000001FFF007FFF0000000000001FFF007FFF0000000000000F
9499 FF007FFF0000000000000FFF007FFF00000000000007FF00FFFF00000000000007FF00FF
9500 FF00000000000003FF00FFFF80000000000003FF00FFFF80000000000003FF00FFFF8000
9501 0000000001FF00FFFFC0000000000001FF00FFFFC0000000000001FF00FFFFE000000000
9502 0001FF00FFFFE0000000000001FF00FFFFF0000000000000FF00FFFFF8000000000000FF
9503 00FFFFFC000000000000FF00FFFFFE0000000000007E00FFFFFF00000000000000007FFF
9504 FF80000000000000007FFFFFE0000000000000007FFFFFFC000000000000007FFFFFFFC0
9505 0000000000003FFFFFFFFC0000000000003FFFFFFFFFE000000000001FFFFFFFFFFF0000
9506 0000001FFFFFFFFFFFF0000000000FFFFFFFFFFFFF800000000FFFFFFFFFFFFFF0000000
9507 07FFFFFFFFFFFFFE00000007FFFFFFFFFFFFFF80000003FFFFFFFFFFFFFFC0000001FFFF
9508 FFFFFFFFFFF0000000FFFFFFFFFFFFFFFC0000007FFFFFFFFFFFFFFE0000003FFFFFFFFF
9509 FFFFFF0000001FFFFFFFFFFFFFFF8000000FFFFFFFFFFFFFFFC0000007FFFFFFFFFFFFFF
9510 E0000001FFFFFFFFFFFFFFF0000000FFFFFFFFFFFFFFF80000003FFFFFFFFFFFFFFC0000
9511 001FFFFFFFFFFFFFFE00000007FFFFFFFFFFFFFE00000000FFFFFFFFFFFFFF000000001F
9512 FFFFFFFFFFFF8000000000FFFFFFFFFFFF80000000000FFFFFFFFFFFC000000000007FFF
9513 FFFFFFC0000000000007FFFFFFFFE00000000000003FFFFFFFE000000000000003FFFFFF
9514 E0000000000000007FFFFFF0000000000000001FFFFFF0000000000000000FFFFFF00000
9515 000000000007FFFFF00000000000000001FFFFF80000000000000001FFFFF80000000000
9516 000000FFFFF800000000000000007FFFF87E000000000000003FFFF8FF00000000000000
9517 3FFFF8FF000000000000001FFFF8FF000000000000001FFFF8FF000000000000000FFFF8
9518 FF000000000000000FFFF8FF000000000000000FFFF8FF800000000000000FFFF8FF8000
9519 000000000007FFF8FF8000000000000007FFF8FF8000000000000007FFF8FFC000000000
9520 000007FFF0FFC000000000000007FFF0FFC000000000000007FFF0FFE000000000000007
9521 FFF0FFE000000000000007FFE0FFF00000000000000FFFE0FFF00000000000000FFFE0FF
9522 F80000000000000FFFC0FFFC0000000000001FFFC0FFFE0000000000001FFFC0FFFF0000
9523 000000001FFF80FFFF8000000000003FFF80FFFFC000000000007FFF00FFFFE000000000
9524 007FFE00FFFFF00000000000FFFE00FFFFFC0000000001FFFC00FFFFFF0000000003FFF8
9525 00FFFFFFE000000007FFF000FFFFFFFC0000001FFFE000FFFBFFFF8000007FFFC000FFF1
9526 FFFFFE0007FFFF8000FFE07FFFFFFFFFFFFF0000FFE03FFFFFFFFFFFFC0000FFC00FFFFF
9527 FFFFFFF80000FF8003FFFFFFFFFFE00000FF00007FFFFFFFFF800000FE00000FFFFFFFFE
9528 000000FC000000FFFFFFF00000007000000003FFFE00000000557A75F76C>83
9529 D<1FFFFFFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFF
9530 FFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFFFF
9531 FFFFFFF81FFFFFFFFFFFFFFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFFFFFFFFFFFFFF83FFF
9532 FFFFFFFFFFFFFFFFFFFFFFFFFC3FFFFFF000007FFFFF00000FFFFFFC3FFFFF0000007FFF
9533 FF0000007FFFFC3FFFF80000007FFFFF0000001FFFFC3FFFE00000007FFFFF00000007FF
9534 FC3FFF800000007FFFFF00000001FFFC3FFF000000007FFFFF00000000FFFC3FFE000000
9535 007FFFFF000000007FFC3FFC000000007FFFFF000000003FFC3FF8000000007FFFFF0000
9536 00001FFC3FF8000000007FFFFF000000001FFC3FF0000000007FFFFF000000000FFC3FF0
9537 000000007FFFFF000000000FFC3FE0000000007FFFFF0000000007FC7FE0000000007FFF
9538 FF0000000007FE7FE0000000007FFFFF0000000007FE7FC0000000007FFFFF0000000003
9539 FE7FC0000000007FFFFF0000000003FE7FC0000000007FFFFF0000000003FE7FC0000000
9540 007FFFFF0000000003FE7F80000000007FFFFF0000000001FE7F80000000007FFFFF0000
9541 000001FE7F80000000007FFFFF0000000001FE7F80000000007FFFFF0000000001FE7F80
9542 000000007FFFFF0000000001FE7F80000000007FFFFF0000000001FE7F80000000007FFF
9543 FF0000000001FEFF80000000007FFFFF0000000001FFFF00000000007FFFFF0000000000
9544 FFFF00000000007FFFFF0000000000FFFF00000000007FFFFF0000000000FFFF00000000
9545 007FFFFF0000000000FFFF00000000007FFFFF0000000000FFFF00000000007FFFFF0000
9546 000000FF0000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9547 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9548 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9549 000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000
9550 007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000
9551 000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9552 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9553 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9554 000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000
9555 007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000
9556 000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9557 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9558 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9559 000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000
9560 007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000
9561 000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9562 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9563 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9564 000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000
9565 007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000
9566 000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9567 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9568 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9569 000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000
9570 007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000
9571 000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000000000
9572 000000007FFFFF0000000000000000000000007FFFFF0000000000000000000000007FFF
9573 FF0000000000000000000000007FFFFF0000000000000000000000007FFFFF0000000000
9574 00000001FFFFFFFFFFFFFFFFFFC00000000001FFFFFFFFFFFFFFFFFFC00000000001FFFF
9575 FFFFFFFFFFFFFFC00000000001FFFFFFFFFFFFFFFFFFC00000000001FFFFFFFFFFFFFFFF
9576 FFC00000000001FFFFFFFFFFFFFFFFFFC00000000001FFFFFFFFFFFFFFFFFFC000000000
9577 01FFFFFFFFFFFFFFFFFFC00000787479F387>I<FFFFFFFFFFFFFF80000000001FFFFFFF
9578 FFE0FFFFFFFFFFFFFF80000000001FFFFFFFFFE0FFFFFFFFFFFFFF80000000001FFFFFFF
9579 FFE0FFFFFFFFFFFFFF80000000001FFFFFFFFFE0FFFFFFFFFFFFFF80000000001FFFFFFF
9580 FFE0FFFFFFFFFFFFFF80000000001FFFFFFFFFE0FFFFFFFFFFFFFF80000000001FFFFFFF
9581 FFE0FFFFFFFFFFFFFF80000000001FFFFFFFFFE000007FFFFFE0000000000000000FFFFC
9582 000000007FFFFFF00000000000000000FF80000000003FFFFFF80000000000000001FF80
9583 000000001FFFFFF80000000000000003FF00000000001FFFFFFC0000000000000003FE00
9584 000000000FFFFFFE0000000000000007FE000000000007FFFFFE000000000000000FFC00
9585 0000000007FFFFFF000000000000000FF8000000000003FFFFFF800000000000001FF800
9586 0000000001FFFFFF800000000000003FF0000000000001FFFFFFC00000000000003FE000
9587 0000000000FFFFFFE00000000000007FE00000000000007FFFFFE0000000000000FFC000
9588 00000000007FFFFFF0000000000000FF800000000000003FFFFFF8000000000001FF8000
9589 00000000001FFFFFF8000000000003FF000000000000001FFFFFFC000000000003FE0000
9590 00000000000FFFFFFE000000000007FE0000000000000007FFFFFE00000000000FFC0000
9591 000000000007FFFFFF00000000000FF80000000000000003FFFFFF80000000001FF80000
9592 000000000001FFFFFF80000000003FF00000000000000001FFFFFFC0000000003FE00000
9593 000000000000FFFFFFE0000000007FE000000000000000007FFFFFE000000000FFC00000
9594 0000000000007FFFFFF000000000FF8000000000000000003FFFFFF800000001FF800000
9595 0000000000001FFFFFF800000003FF0000000000000000001FFFFFFC00000003FE000000
9596 0000000000000FFFFFFE00000007FE00000000000000000007FFFFFE0000000FFC000000
9597 00000000000007FFFFFF0000000FF800000000000000000003FFFFFF8000001FF8000000
9598 00000000000001FFFFFF8000003FF000000000000000000001FFFFFFC000003FE0000000
9599 00000000000000FFFFFFE000007FE0000000000000000000007FFFFFE00000FFC0000000
9600 000000000000007FFFFFF00000FF80000000000000000000003FFFFFF80001FF80000000
9601 000000000000001FFFFFF80003FF00000000000000000000001FFFFFFC0003FE00000000
9602 000000000000000FFFFFFE0007FE000000000000000000000007FFFFFE000FFC00000000
9603 0000000000000007FFFFFF000FF8000000000000000000000003FFFFFF801FF800000000
9604 0000000000000001FFFFFF803FF0000000000000000000000001FFFFFFC03FE000000000
9605 0000000000000000FFFFFFE07FC00000000000000000000000007FFFFFE0FFC000000000
9606 00000000000000007FFFFFF0FF800000000000000000000000003FFFFFF1FF0000000000
9607 00000000000000001FFFFFFBFF000000000000000000000000001FFFFFFFFE0000000000
9608 00000000000000000FFFFFFFFC0000000000000000000000000007FFFFFFFC0000000000
9609 000000000000000007FFFFFFF80000000000000000000000000003FFFFFFF00000000000
9610 000000000000000003FFFFFFF00000000000000000000000000001FFFFFFE00000000000
9611 000000000000000000FFFFFFC00000000000000000000000000000FFFFFFC00000000000
9612 0000000000000000007FFFFF8000000000000000000000000000003FFFFF000000000000
9613 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9614 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9615 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9616 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9617 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9618 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9619 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9620 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9621 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9622 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9623 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9624 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9625 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9626 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9627 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9628 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9629 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9630 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9631 0000000000000000003FFFFF0000000000000000000000000000003FFFFF000000000000
9632 0000000000000000003FFFFF00000000000000000000000000FFFFFFFFFFFFFFC0000000
9633 00000000000000FFFFFFFFFFFFFFC000000000000000000000FFFFFFFFFFFFFFC0000000
9634 00000000000000FFFFFFFFFFFFFFC000000000000000000000FFFFFFFFFFFFFFC0000000
9635 00000000000000FFFFFFFFFFFFFFC000000000000000000000FFFFFFFFFFFFFFC0000000
9636 00000000000000FFFFFFFFFFFFFFC000000000008B767DF592>89
9637 D<0000003FFFF80000000000000007FFFFFFE00000000000007FFFFFFFFC000000000001
9638 FFFFFFFFFF800000000007FFFFFFFFFFE0000000001FFFFFFFFFFFF0000000003FFFF000
9639 7FFFFC000000007FFE00000FFFFE00000000FFFF000003FFFF80000001FFFF800001FFFF
9640 C0000001FFFFC00000FFFFE0000001FFFFC000007FFFF0000003FFFFE000003FFFF80000
9641 03FFFFE000001FFFF8000003FFFFE000001FFFFC000003FFFFE000000FFFFE000003FFFF
9642 E000000FFFFE000003FFFFE000000FFFFF000003FFFFE0000007FFFF000003FFFFE00000
9643 07FFFF000001FFFFC0000007FFFF000001FFFFC0000003FFFF800000FFFF80000003FFFF
9644 8000007FFF00000003FFFF8000003FFE00000003FFFF8000000FF800000003FFFF800000
9645 03E000000003FFFF800000000000000003FFFF800000000000000003FFFF800000000000
9646 000003FFFF800000000000000003FFFF800000000000000003FFFF800000000000000003
9647 FFFF800000000000000003FFFF8000000000000007FFFFFF8000000000001FFFFFFFFF80
9648 0000000003FFFFFFFFFF80000000007FFFFFFFFFFF8000000003FFFFFFFFFFFF80000000
9649 1FFFFFFE03FFFF80000000FFFFFF8003FFFF80000003FFFFF80003FFFF8000000FFFFFC0
9650 0003FFFF8000001FFFFF000003FFFF8000007FFFFC000003FFFF800000FFFFF0000003FF
9651 FF800001FFFFC0000003FFFF800003FFFF80000003FFFF800007FFFF00000003FFFF8000
9652 0FFFFE00000003FFFF80001FFFFE00000003FFFF80003FFFFC00000003FFFF80003FFFF8
9653 00000003FFFF80007FFFF800000003FFFF80007FFFF000000003FFFF80007FFFF0000000
9654 03FFFF8000FFFFF000000003FFFF8000FFFFE000000003FFFF8000FFFFE000000003FFFF
9655 8000FFFFE000000003FFFF8000FFFFE000000007FFFF8000FFFFE000000007FFFF8000FF
9656 FFE000000007FFFF8000FFFFF00000000FFFFF8000FFFFF00000000FFFFF80007FFFF000
9657 00001FFFFF80007FFFF80000003FFFFF80007FFFF80000007EFFFF80003FFFFC0000007E
9658 FFFFC0003FFFFE000001FCFFFFE0001FFFFF000003F8FFFFFC000FFFFF80000FF0FFFFFF
9659 FC07FFFFE0003FE07FFFFFFE01FFFFFC03FFC07FFFFFFE00FFFFFFFFFF803FFFFFFE003F
9660 FFFFFFFE001FFFFFFE000FFFFFFFFC0007FFFFFE0003FFFFFFF00001FFFFFE00003FFFFF
9661 8000003FFFFC000001FFF800000000000057507ACE5E>97 D<000000003FFFF000000000
9662 000007FFFFFFC000000000003FFFFFFFF80000000001FFFFFFFFFE0000000007FFFFFFFF
9663 FF800000001FFFFFFFFFFFE00000007FFFFFFFFFFFF0000000FFFFFC001FFFF8000003FF
9664 FFC00003FFFC000007FFFF000007FFFE00000FFFFE00000FFFFE00001FFFFC00000FFFFE
9665 00003FFFF000001FFFFF00007FFFF000001FFFFF0000FFFFE000001FFFFF0001FFFFC000
9666 001FFFFF0001FFFFC000001FFFFF0003FFFF8000001FFFFF0007FFFF0000001FFFFF0007
9667 FFFF0000001FFFFF000FFFFF0000000FFFFE000FFFFE0000000FFFFE001FFFFE00000007
9668 FFFC001FFFFE00000003FFF8001FFFFC00000001FFF0003FFFFC000000007FC0003FFFFC
9669 000000001F00003FFFFC000000000000007FFFFC000000000000007FFFFC000000000000
9670 007FFFF8000000000000007FFFF8000000000000007FFFF800000000000000FFFFF80000
9671 0000000000FFFFF800000000000000FFFFF800000000000000FFFFF800000000000000FF
9672 FFF800000000000000FFFFF800000000000000FFFFF800000000000000FFFFF800000000
9673 000000FFFFF800000000000000FFFFF800000000000000FFFFF800000000000000FFFFF8
9674 00000000000000FFFFF800000000000000FFFFF800000000000000FFFFF8000000000000
9675 007FFFF8000000000000007FFFFC000000000000007FFFFC000000000000007FFFFC0000
9676 00000000007FFFFC000000000000003FFFFC000000000000003FFFFE000000000000003F
9677 FFFE000000000000001FFFFE000000000000001FFFFF000000000000000FFFFF00000000
9678 001F800FFFFF00000000003FC007FFFF80000000007FC007FFFF80000000007FC003FFFF
9679 C000000000FF8003FFFFE000000000FF8001FFFFE000000001FF8000FFFFF000000001FF
9680 00007FFFF800000003FE00003FFFFC00000007FE00001FFFFE0000000FFC00000FFFFF80
9681 00001FF8000007FFFFE000007FF0000003FFFFF80001FFE0000000FFFFFF801FFFC00000
9682 007FFFFFFFFFFF000000001FFFFFFFFFFE0000000007FFFFFFFFF80000000001FFFFFFFF
9683 E000000000007FFFFFFF80000000000007FFFFFC000000000000003FFF800000004A507A
9684 CE56>99 D<00000000000000000FFFE00000000000000007FFFFFFE00000000000000007
9685 FFFFFFE00000000000000007FFFFFFE00000000000000007FFFFFFE00000000000000007
9686 FFFFFFE00000000000000007FFFFFFE00000000000000007FFFFFFE00000000000000007
9687 FFFFFFE0000000000000000003FFFFE0000000000000000000FFFFE00000000000000000
9688 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9689 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9690 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9691 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9692 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9693 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9694 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9695 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9696 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9697 007FFFE00000000000000000007FFFE00000000000000000007FFFE00000000000000000
9698 007FFFE000000000003FFF80007FFFE00000000007FFFFF8007FFFE0000000003FFFFFFF
9699 007FFFE000000001FFFFFFFFC07FFFE000000007FFFFFFFFF07FFFE00000001FFFFFFFFF
9700 FC7FFFE00000007FFFFE007FFE7FFFE0000000FFFFF0000FFF7FFFE0000003FFFF800001
9701 FFFFFFE0000007FFFE0000007FFFFFE000000FFFFC0000003FFFFFE000001FFFF8000000
9702 1FFFFFE000003FFFF00000000FFFFFE000007FFFE000000007FFFFE00000FFFFC0000000
9703 03FFFFE00001FFFFC000000001FFFFE00003FFFF8000000000FFFFE00003FFFF00000000
9704 00FFFFE00007FFFF0000000000FFFFE00007FFFF0000000000FFFFE0000FFFFE00000000
9705 00FFFFE0000FFFFE0000000000FFFFE0001FFFFE0000000000FFFFE0001FFFFC00000000
9706 00FFFFE0003FFFFC0000000000FFFFE0003FFFFC0000000000FFFFE0003FFFFC00000000
9707 00FFFFE0007FFFFC0000000000FFFFE0007FFFF80000000000FFFFE0007FFFF800000000
9708 00FFFFE0007FFFF80000000000FFFFE0007FFFF80000000000FFFFE000FFFFF800000000
9709 00FFFFE000FFFFF80000000000FFFFE000FFFFF80000000000FFFFE000FFFFF800000000
9710 00FFFFE000FFFFF80000000000FFFFE000FFFFF80000000000FFFFE000FFFFF800000000
9711 00FFFFE000FFFFF80000000000FFFFE000FFFFF80000000000FFFFE000FFFFF800000000
9712 00FFFFE000FFFFF80000000000FFFFE000FFFFF80000000000FFFFE000FFFFF800000000
9713 00FFFFE000FFFFF80000000000FFFFE000FFFFF80000000000FFFFE0007FFFF800000000
9714 00FFFFE0007FFFF80000000000FFFFE0007FFFF80000000000FFFFE0007FFFF800000000
9715 00FFFFE0007FFFFC0000000000FFFFE0003FFFFC0000000000FFFFE0003FFFFC00000000
9716 00FFFFE0003FFFFC0000000000FFFFE0001FFFFC0000000000FFFFE0001FFFFC00000000
9717 00FFFFE0001FFFFE0000000000FFFFE0000FFFFE0000000000FFFFE0000FFFFE00000000
9718 00FFFFE00007FFFF0000000000FFFFE00007FFFF0000000001FFFFE00003FFFF80000000
9719 03FFFFE00001FFFF8000000007FFFFE00000FFFFC000000007FFFFE00000FFFFC0000000
9720 0FFFFFE000007FFFE00000001FFFFFE000003FFFF00000003FFFFFE000001FFFF8000000
9721 FFFFFFF000000FFFFC000001FFFFFFFC000003FFFF000007FFFFFFFFFE0001FFFFC0003F
9722 FEFFFFFFFE00007FFFFC01FFF8FFFFFFFE00003FFFFFFFFFF0FFFFFFFE00000FFFFFFFFF
9723 C0FFFFFFFE000003FFFFFFFF00FFFFFFFE0000007FFFFFFC00FFFFFFFE0000000FFFFFE0
9724 00FFFFFFFE000000007FFE0000FFFE00005F797AF76C>I<0001FFFC0000000000000000
9725 00FFFFFFFC000000000000000000FFFFFFFC000000000000000000FFFFFFFC0000000000
9726 00000000FFFFFFFC000000000000000000FFFFFFFC000000000000000000FFFFFFFC0000
9727 00000000000000FFFFFFFC000000000000000000FFFFFFFC000000000000000000007FFF
9728 FC000000000000000000001FFFFC000000000000000000000FFFFC000000000000000000
9729 000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC000000000000
9730 000000000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC000000
9731 000000000000000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC
9732 000000000000000000000FFFFC000000000000000000000FFFFC00000000000000000000
9733 0FFFFC000000000000000000000FFFFC000000000000000000000FFFFC00000000000000
9734 0000000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC00000000
9735 0000000000000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC00
9736 0000000000000000000FFFFC000000000000000000000FFFFC000000000000000000000F
9737 FFFC000000000000000000000FFFFC000000000000000000000FFFFC0000000000000000
9738 00000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC0000000000
9739 00000000000FFFFC000000000000000000000FFFFC000000000000000000000FFFFC0000
9740 0FFFE000000000000FFFFC0000FFFFFE00000000000FFFFC0003FFFFFF80000000000FFF
9741 FC000FFFFFFFE0000000000FFFFC003FFFFFFFF8000000000FFFFC007FFFFFFFFC000000
9742 000FFFFC01FFF01FFFFE000000000FFFFC03FF0007FFFF000000000FFFFC07FC0003FFFF
9743 800000000FFFFC0FF00001FFFFC00000000FFFFC1FC00000FFFFC00000000FFFFC3F8000
9744 00FFFFE00000000FFFFC7F000000FFFFE00000000FFFFC7E0000007FFFF00000000FFFFC
9745 FC0000007FFFF00000000FFFFDF80000007FFFF00000000FFFFDF00000007FFFF0000000
9746 0FFFFFF00000003FFFF80000000FFFFFE00000003FFFF80000000FFFFFE00000003FFFF8
9747 0000000FFFFFC00000003FFFF80000000FFFFFC00000003FFFF80000000FFFFF80000000
9748 3FFFF80000000FFFFF800000003FFFF80000000FFFFF000000003FFFF80000000FFFFF00
9749 0000003FFFF80000000FFFFF000000003FFFF80000000FFFFF000000003FFFF80000000F
9750 FFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF800
9751 00000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003F
9752 FFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE0000
9753 00003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFF
9754 FE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000
9755 000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFF
9756 F80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000
9757 003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE
9758 000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8000000
9759 0FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8
9760 0000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00000000
9761 3FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00
9762 0000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000F
9763 FFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF800
9764 00000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003F
9765 FFF80000FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE0
9766 03FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFF
9767 FFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80
9768 617879F76C>104 D<0001FC0000000007FF000000001FFFC00000003FFFE00000007FFF
9769 F0000000FFFFF8000000FFFFF8000001FFFFFC000001FFFFFC000003FFFFFE000003FFFF
9770 FE000003FFFFFE000003FFFFFE000003FFFFFE000003FFFFFE000003FFFFFE000001FFFF
9771 FC000001FFFFFC000000FFFFF8000000FFFFF80000007FFFF00000003FFFE00000001FFF
9772 C000000007FF0000000001FC000000000000000000000000000000000000000000000000
9773 000000000000000000000000000000000000000000000000000000000000000000000000
9774 000000000000000000000000000000000000000000000000000000000000000000000000
9775 0000000000000000000000000000000001FFFC00007FFFFFFC00007FFFFFFC00007FFFFF
9776 FC00007FFFFFFC00007FFFFFFC00007FFFFFFC00007FFFFFFC00007FFFFFFC0000007FFF
9777 FC0000001FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9778 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9779 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9780 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9781 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9782 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9783 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9784 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9785 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9786 FC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFF
9787 FC0000FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF80FFFFFF
9788 FFFF80FFFFFFFFFF80FFFFFFFFFF80297979F835>I<0001FFFC0000FFFFFFFC0000FFFF
9789 FFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFF
9790 FFFC0000007FFFFC0000001FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9791 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9792 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9793 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9794 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9795 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9796 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9797 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9798 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9799 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9800 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9801 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9802 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9803 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9804 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9805 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9806 FFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000FFFFC0000000F
9807 FFFC0000000FFFFC0000FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFF
9808 FFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC0FFFFFFFFFFC02A7879F735>108
9809 D<0001FFF800000FFFE000000000FFFFFFF80000FFFFFE00000000FFFFFFF80003FFFFFF
9810 80000000FFFFFFF8000FFFFFFFE0000000FFFFFFF8003FFFFFFFF8000000FFFFFFF8007F
9811 FFFFFFFC000000FFFFFFF801FFF01FFFFE000000FFFFFFF803FF0007FFFF000000FFFFFF
9812 F807FC0003FFFF800000007FFFF80FF00001FFFFC00000001FFFF81FC00000FFFFC00000
9813 000FFFF83F800000FFFFE00000000FFFF87F000000FFFFE00000000FFFF87E0000007FFF
9814 F00000000FFFF8FC0000007FFFF00000000FFFF9F80000007FFFF00000000FFFF9F00000
9815 007FFFF00000000FFFFBF00000003FFFF80000000FFFFBE00000003FFFF80000000FFFFF
9816 E00000003FFFF80000000FFFFFC00000003FFFF80000000FFFFFC00000003FFFF8000000
9817 0FFFFF800000003FFFF80000000FFFFF800000003FFFF80000000FFFFF000000003FFFF8
9818 0000000FFFFF000000003FFFF80000000FFFFF000000003FFFF80000000FFFFF00000000
9819 3FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00
9820 0000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000F
9821 FFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF800
9822 00000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003F
9823 FFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE0000
9824 00003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFF
9825 FE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000
9826 000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFF
9827 F80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000
9828 003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE
9829 000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8000000
9830 0FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8
9831 0000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00000000
9832 3FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00
9833 0000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000F
9834 FFFE000000003FFFF80000FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF
9835 80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFF
9836 FFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE003FFFFFFFFFF80FFFFFFFFFFE0
9837 03FFFFFFFFFF80614E79CD6C>110 D<000003FFFC00078000007FFFFFE00FC00003FFFF
9838 FFF83FC0000FFFFFFFFEFFC0003FFFFFFFFFFFC0007FFF000FFFFFC001FFF00000FFFFC0
9839 03FF8000003FFFC007FF0000000FFFC00FFE00000007FFC01FFC00000003FFC01FF80000
9840 0001FFC03FF800000001FFC03FF800000000FFC07FF000000000FFC07FF0000000007FC0
9841 7FF0000000007FC0FFF0000000007FC0FFF8000000003FC0FFF8000000003FC0FFF80000
9842 00003FC0FFFC000000003FC0FFFE000000003FC0FFFF000000001F80FFFFC00000000000
9843 FFFFF00000000000FFFFFE0000000000FFFFFFF0000000007FFFFFFF800000007FFFFFFF
9844 FE0000007FFFFFFFFFE000003FFFFFFFFFFC00001FFFFFFFFFFF00001FFFFFFFFFFFC000
9845 0FFFFFFFFFFFE00007FFFFFFFFFFF80003FFFFFFFFFFFC0001FFFFFFFFFFFE0000FFFFFF
9846 FFFFFF00003FFFFFFFFFFF80001FFFFFFFFFFFC00007FFFFFFFFFFE00001FFFFFFFFFFF0
9847 00003FFFFFFFFFF0000007FFFFFFFFF80000001FFFFFFFF800000000FFFFFFFC00000000
9848 07FFFFFC00000000007FFFFC00000000001FFFFE000000000007FFFE7E0000000003FFFE
9849 FF0000000001FFFEFF0000000000FFFEFF80000000007FFEFF80000000007FFEFF800000
9850 00003FFEFFC0000000003FFEFFC0000000001FFEFFC0000000001FFEFFE0000000001FFE
9851 FFE0000000001FFCFFF0000000001FFCFFF0000000001FFCFFF8000000003FFCFFFC0000
9852 00003FF8FFFE000000007FF8FFFE000000007FF0FFFF00000000FFF0FFFF80000001FFE0
9853 FFFFE0000003FFC0FFFFF0000007FF80FFFFFE00003FFF00FFFFFFC003FFFE00FFE7FFFF
9854 FFFFFC00FFC3FFFFFFFFF000FF80FFFFFFFFC000FE003FFFFFFF0000FC0007FFFFF80000
9855 7000007FFF0000003F507ACE4C>115 D<0000FFFE0000000003FFF80000FFFFFFFE0000
9856 03FFFFFFF80000FFFFFFFE000003FFFFFFF80000FFFFFFFE000003FFFFFFF80000FFFFFF
9857 FE000003FFFFFFF80000FFFFFFFE000003FFFFFFF80000FFFFFFFE000003FFFFFFF80000
9858 FFFFFFFE000003FFFFFFF80000FFFFFFFE000003FFFFFFF80000007FFFFE00000001FFFF
9859 F80000001FFFFE000000007FFFF80000000FFFFE000000003FFFF80000000FFFFE000000
9860 003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE
9861 000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8000000
9862 0FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8
9863 0000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00000000
9864 3FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE00
9865 0000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000F
9866 FFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF800
9867 00000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003F
9868 FFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE0000
9869 00003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFF
9870 FE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000
9871 000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFF
9872 F80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000
9873 003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE
9874 000000003FFFF80000000FFFFE000000003FFFF80000000FFFFE000000003FFFF8000000
9875 0FFFFE000000003FFFF80000000FFFFE000000007FFFF80000000FFFFE000000007FFFF8
9876 0000000FFFFE000000007FFFF80000000FFFFE000000007FFFF80000000FFFFE00000000
9877 FFFFF80000000FFFFE00000000FFFFF80000000FFFFE00000001FFFFF80000000FFFFE00
9878 000001FFFFF80000000FFFFE00000003FFFFF800000007FFFE00000007FFFFF800000007
9879 FFFE00000007DFFFF800000007FFFF0000000FDFFFF800000003FFFF0000001F9FFFF800
9880 000003FFFF0000003F9FFFFC00000001FFFF8000007F1FFFFF00000000FFFFC00001FE1F
9881 FFFFFF800000FFFFE00007FC1FFFFFFF8000003FFFFE003FF81FFFFFFF8000001FFFFFFF
9882 FFF01FFFFFFF8000000FFFFFFFFFC01FFFFFFF80000003FFFFFFFF801FFFFFFF80000000
9883 FFFFFFFE001FFFFFFF800000001FFFFFF8001FFFFFFF8000000000FFFF80001FFFC00000
9884 614F79CD6C>117 D<FFFFFFFFFF000000FFFFFFF8FFFFFFFFFF000000FFFFFFF8FFFFFF
9885 FFFF000000FFFFFFF8FFFFFFFFFF000000FFFFFFF8FFFFFFFFFF000000FFFFFFF8FFFFFF
9886 FFFF000000FFFFFFF8FFFFFFFFFF000000FFFFFFF8FFFFFFFFFF000000FFFFFFF8001FFF
9887 FE0000000003FFF000000FFFFF0000000000FF8000000FFFFF0000000000FF80000007FF
9888 FF8000000000FF00000007FFFF8000000001FF00000003FFFFC000000001FE00000003FF
9889 FFC000000003FE00000003FFFFC000000003FE00000001FFFFE000000007FC00000001FF
9890 FFE000000007FC00000000FFFFF00000000FF800000000FFFFF00000000FF8000000007F
9891 FFF80000000FF0000000007FFFF80000001FF0000000003FFFFC0000001FE0000000003F
9892 FFFC0000003FE0000000001FFFFC0000003FC0000000001FFFFE0000007FC0000000001F
9893 FFFE0000007FC0000000000FFFFF000000FF80000000000FFFFF000000FF800000000007
9894 FFFF800001FF000000000007FFFF800001FF000000000003FFFFC00001FE000000000003
9895 FFFFC00003FE000000000001FFFFE00003FC000000000001FFFFE00007FC000000000001
9896 FFFFE00007FC000000000000FFFFF0000FF8000000000000FFFFF0000FF8000000000000
9897 7FFFF8001FF00000000000007FFFF8001FF00000000000003FFFFC001FE0000000000000
9898 3FFFFC003FE00000000000001FFFFE003FC00000000000001FFFFE007FC0000000000000
9899 0FFFFE007F800000000000000FFFFF00FF800000000000000FFFFF00FF80000000000000
9900 07FFFF81FF0000000000000007FFFF81FF0000000000000003FFFFC3FE00000000000000
9901 03FFFFC3FE0000000000000001FFFFE3FC0000000000000001FFFFE7FC00000000000000
9902 00FFFFF7F80000000000000000FFFFFFF80000000000000000FFFFFFF800000000000000
9903 007FFFFFF000000000000000007FFFFFF000000000000000003FFFFFE000000000000000
9904 003FFFFFE000000000000000001FFFFFC000000000000000001FFFFFC000000000000000
9905 000FFFFF8000000000000000000FFFFF8000000000000000000FFFFF8000000000000000
9906 0007FFFF00000000000000000007FFFF00000000000000000003FFFE0000000000000000
9907 0003FFFE00000000000000000001FFFC00000000000000000001FFFC0000000000000000
9908 0000FFF800000000000000000000FFF8000000000000000000007FF00000000000000000
9909 00007FF0000000000000000000007FF0000000000000000000003FE00000000000000000
9910 00003FE0000000000000000000007FC0000000000000000000007FC00000000000000000
9911 00007F8000000000000000000000FF8000000000000000000000FF000000000000000000
9912 0001FF0000000000000000000001FF0000000000000000000003FE00000000000003F800
9913 0003FE0000000000000FFE000007FC0000000000001FFF000007FC0000000000003FFF80
9914 000FF80000000000007FFFC0000FF80000000000007FFFC0000FF0000000000000FFFFE0
9915 001FF0000000000000FFFFE0001FE0000000000000FFFFE0003FE0000000000000FFFFE0
9916 007FC0000000000000FFFFE0007FC0000000000000FFFFE000FF80000000000000FFFFE0
9917 01FF000000000000007FFFC003FE000000000000007FFFC007FC000000000000007FFF80
9918 0FFC000000000000003FFF003FF8000000000000003FFE00FFF0000000000000001FFC07
9919 FFC0000000000000000FFFFFFF800000000000000007FFFFFF000000000000000003FFFF
9920 FC000000000000000000FFFFF00000000000000000003FFFC000000000000000000007FC
9921 0000000000000000005D6F7CCC66>121 D E /Fv 6 81 df<001FE000007FF80001FFFE
9922 0007FFFF800FFFFFC01FFFFFE01FFFFFE03FFFFFF03FFFFFF07FFFFFF87FFFFFF8FFFFFF
9923 FCFFFFFFFCFFFFFFFCFFFFFFFCFFFFFFFCFFFFFFFCFFFFFFFCFFFFFFFC7FFFFFF87FFFFF
9924 F83FFFFFF03FFFFFF01FFFFFE01FFFFFE00FFFFFC007FFFF8001FFFE00007FF800001FE0
9925 001E1E6F9D41>46 D[<0000000000000000007FC00000000000000000000000FFE00000
9926 000000000000000001FFE00000000000000000000003FFE00000000000000000000003FF
9927 E00000000000000000000007FFE0000000000000000000000FFFE0000000000000000000
9928 001FFFE0000000000000000000001FFFE0000000000000000000003FFFE0000000000000
9929 000000007FFFE000000000000000000000FFFFE000000000000000000001FFFFE0000000
9930 00000000000001FFFFE000000000000000000003FFFFE000000000000000000007FFFFE0
9931 0000000000000000000FFFFFE00000000000000000000FFFFFE00000000000000000001F
9932 FFFFE00000000000000000003FFFFFE00000000000000000007FFFFFE000000000000000
9933 0000FFFFFFE0000000000000000000FFFFFFE0000000000000000001FFFFFFE000000000
9934 0000000003FFFFFFE0000000000000000007FFFFFFE0000000000000000007FFFFFFE000
9935 000000000000000FFFFFFFE000000000000000001FFFFFFFE000000000000000003FFFFF
9936 FFE000000000000000007FEFFFFFE000000000000000007FCFFFFFE00000000000000000
9937 FFCFFFFFE00000000000000001FF8FFFFFE00000000000000003FF0FFFFFE00000000000
9938 000003FE0FFFFFE00000000000000007FE0FFFFFE0000000000000000FFC0FFFFFE00000
9939 00000000001FF80FFFFFE0000000000000003FF00FFFFFE0000000000000003FE00FFFFF
9940 E0000000000000007FE00FFFFFE000000000000000FFC00FFFFFE000000000000001FF80
9941 0FFFFFE000000000000001FF000FFFFFE000000000000003FF000FFFFFE0000000000000
9942 07FE000FFFFFE00000000000000FFC000FFFFFE00000000000001FF8000FFFFFE0000000
9943 0000001FF0000FFFFFE00000000000003FF0000FFFFFE00000000000007FE0000FFFFFE0
9944 000000000000FFC0000FFFFFE0000000000000FF80000FFFFFE0000000000001FF80000F
9945 FFFFE0000000000003FF00000FFFFFE0000000000007FE00000FFFFFE000000000000FFC
9946 00000FFFFFE000000000000FF800000FFFFFE000000000001FF800000FFFFFE000000000
9947 003FF000000FFFFFE000000000007FE000000FFFFFE000000000007FC000000FFFFFE000
9948 00000000FFC000000FFFFFE00000000001FF8000000FFFFFE00000000003FF0000000FFF
9949 FFE00000000007FE0000000FFFFFE00000000007FC0000000FFFFFE0000000000FFC0000
9950 000FFFFFE0000000001FF80000000FFFFFE0000000003FF00000000FFFFFE0000000003F
9951 E00000000FFFFFE0000000007FE00000000FFFFFE000000000FFC00000000FFFFFE00000
9952 0001FF800000000FFFFFE000000003FF000000000FFFFFE000000003FE000000000FFFFF
9953 E000000007FE000000000FFFFFE00000000FFC000000000FFFFFE00000001FF800000000
9954 0FFFFFE00000001FF0000000000FFFFFE00000003FF0000000000FFFFFE00000007FE000
9955 0000000FFFFFE0000000FFC0000000000FFFFFE0000001FF80000000000FFFFFE0000001
9956 FF00000000000FFFFFE0000003FF00000000000FFFFFE0000007FE00000000000FFFFFE0
9957 00000FFC00000000000FFFFFE000000FF800000000000FFFFFE000001FF800000000000F
9958 FFFFE000003FF000000000000FFFFFE000007FE000000000000FFFFFE00000FFC0000000
9959 00000FFFFFE00000FFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFEFFFF
9960 FFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF
9961 FEFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFF
9962 FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFE000000000000003FFFFFE00000000000000000
9963 003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE00000000000
9964 000000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE00000
9965 000000000000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFF
9966 E00000000000000000003FFFFFE00000000000000000003FFFFFE0000000000000000000
9967 3FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE0000000000000
9968 0000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE0000000
9969 0000000000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE0
9970 0000000000000000003FFFFFE00000000000000000003FFFFFE00000000000000000003F
9971 FFFFE00000000000000FFFFFFFFFFFFFFFFE000000000FFFFFFFFFFFFFFFFE000000000F
9972 FFFFFFFFFFFFFFFE000000000FFFFFFFFFFFFFFFFE000000000FFFFFFFFFFFFFFFFE0000
9973 00000FFFFFFFFFFFFFFFFE000000000FFFFFFFFFFFFFFFFE000000000FFFFFFFFFFFFFFF
9974 FE000000000FFFFFFFFFFFFFFFFE>103 136 122 263 116 52 D[<000E000000000000
9975 0000E000001FC000000000000007F000001FF00000000000003FF000001FFF0000000000
9976 01FFF000001FFFE0000000000FFFF000001FFFFF00000001FFFFF000001FFFFFFE0000FF
9977 FFFFE000001FFFFFFFFFFFFFFFFFC000001FFFFFFFFFFFFFFFFFC000001FFFFFFFFFFFFF
9978 FFFF8000001FFFFFFFFFFFFFFFFF0000001FFFFFFFFFFFFFFFFE0000001FFFFFFFFFFFFF
9979 FFFC0000001FFFFFFFFFFFFFFFF80000001FFFFFFFFFFFFFFFF00000001FFFFFFFFFFFFF
9980 FFE00000001FFFFFFFFFFFFFFFC00000001FFFFFFFFFFFFFFF800000001FFFFFFFFFFFFF
9981 FF000000001FFFFFFFFFFFFFFC000000001FFFFFFFFFFFFFF8000000001FFFFFFFFFFFFF
9982 E0000000001FFFFFFFFFFFFFC0000000001FFFFFFFFFFFFF00000000001FFFFFFFFFFFFC
9983 00000000001FFFFFFFFFFFF000000000001FFFFFFFFFFFC000000000001FFFFFFFFFFE00
9984 00000000001FFFFFFFFFF00000000000001FF87FFFFE000000000000001FF80000000000
9985 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9986 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9987 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9988 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9989 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9990 00000000001FF8000000000000000000001FF8000000000000000000001FF80000000000
9991 00000000001FF8000000000000000000001FF8000000000000000000001FF80000FFFF00
9992 00000000001FF8001FFFFFF800000000001FF801FFFFFFFF80000000001FF807FFFFFFFF
9993 E0000000001FF81FFFFFFFFFFC000000001FF87FFFFFFFFFFF000000001FF9FFFFFFFFFF
9994 FFC00000001FFBFFFF001FFFFFE00000001FFFFFE00003FFFFF80000001FFFFF000000FF
9995 FFFC0000001FFFFC0000007FFFFE0000001FFFF00000001FFFFF0000001FFFC00000000F
9996 FFFF8000001FFF800000000FFFFFC000001FFE0000000007FFFFE000001FFC0000000003
9997 FFFFF000001FF80000000003FFFFF800001FF00000000001FFFFFC00001FF00000000001
9998 FFFFFC00001FE00000000001FFFFFE00000FC00000000001FFFFFE000000000000000000
9999 FFFFFF000000000000000000FFFFFF000000000000000000FFFFFF800000000000000000
10000 FFFFFF800000000000000000FFFFFFC00000000000000000FFFFFFC00000000000000000
10001 7FFFFFE000000000000000007FFFFFE000000000000000007FFFFFE00000000000000000
10002 7FFFFFE000000000000000007FFFFFF000000000000000007FFFFFF00000000000000000
10003 7FFFFFF000000000000000007FFFFFF000000000000000007FFFFFF80000000000000000
10004 7FFFFFF800000000000000007FFFFFF800FFC000000000007FFFFFF803FFF00000000000
10005 7FFFFFF807FFFC00000000007FFFFFF80FFFFE00000000007FFFFFF81FFFFF0000000000
10006 7FFFFFF83FFFFF80000000007FFFFFF83FFFFF80000000007FFFFFF87FFFFFC000000000
10007 7FFFFFF87FFFFFC0000000007FFFFFF8FFFFFFC0000000007FFFFFF8FFFFFFE000000000
10008 7FFFFFF8FFFFFFE0000000007FFFFFF8FFFFFFE0000000007FFFFFF0FFFFFFE000000000
10009 7FFFFFF0FFFFFFE0000000007FFFFFF0FFFFFFE0000000007FFFFFF0FFFFFFC000000000
10010 7FFFFFE0FFFFFFC0000000007FFFFFE0FFFFFFC000000000FFFFFFE07FFFFF8000000000
10011 FFFFFFC07FFFFF8000000000FFFFFFC07FFFFF0000000000FFFFFFC07FFFFE0000000000
10012 FFFFFF803FFFFC0000000001FFFFFF803FFFF00000000001FFFFFF001FFFC00000000001
10013 FFFFFF001FF8000000000001FFFFFE000FFC000000000003FFFFFC000FFE000000000003
10014 FFFFFC0007FE000000000007FFFFF80007FF000000000007FFFFF00003FF80000000000F
10015 FFFFE00001FFE0000000001FFFFFC00000FFF0000000003FFFFF800000FFF8000000007F
10016 FFFF0000007FFE00000000FFFFFE0000003FFF80000003FFFFFC0000001FFFE000000FFF
10017 FFF800000007FFFC00003FFFFFF000000003FFFFE003FFFFFFC000000001FFFFFFFFFFFF
10018 FF00000000007FFFFFFFFFFFFC00000000001FFFFFFFFFFFF0000000000007FFFFFFFFFF
10019 C0000000000001FFFFFFFFFF000000000000007FFFFFFFF0000000000000000FFFFFFF00
10020 00000000000000007FFFC00000000000>93 137 117 262 116 I[<01FF000000000000
10021 000000000001FF000000000000000000000001FF000000000000000000000003FF800000
10022 000000000000000003FFE00000000000000000000003FFFE0000000000000000000003FF
10023 FFFFF8000000000000000003FFFFFFFFFFFFFFFFFFFFFFE003FFFFFFFFFFFFFFFFFFFFFF
10024 E003FFFFFFFFFFFFFFFFFFFFFFE003FFFFFFFFFFFFFFFFFFFFFFE007FFFFFFFFFFFFFFFF
10025 FFFFFFE007FFFFFFFFFFFFFFFFFFFFFFE007FFFFFFFFFFFFFFFFFFFFFFE007FFFFFFFFFF
10026 FFFFFFFFFFFFE007FFFFFFFFFFFFFFFFFFFFFFC007FFFFFFFFFFFFFFFFFFFFFF8007FFFF
10027 FFFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFFFFFFFE000FFFFFFFFFFFFFFFFFFFFFFC00
10028 0FFFFFFFFFFFFFFFFFFFFFF8000FFFFFFFFFFFFFFFFFFFFFF8000FFFFFFFFFFFFFFFFFFF
10029 FFF0000FFFFFFFFFFFFFFFFFFFFFE0000FFFFFFFFFFFFFFFFFFFFFC0000FFFFFFFFFFFFF
10030 FFFFFFFF80001FFFFFFFFFFFFFFFFFFFFF00001FFFFFFFFFFFFFFFFFFFFF00001FFFFFFF
10031 FFFFFFFFFFFFFE00001FFFFFFFFFFFFFFFFFFFFC00001FFFFFFFFFFFFFFFFFFFF800001F
10032 FFFFFFFFFFFFFFFFFFF000001FFFE0000000000000FFE000003FFC00000000000001FFE0
10033 00003FF800000000000003FFC000003FF800000000000007FF8000003FF0000000000000
10034 07FF0000003FF00000000000000FFE0000003FF00000000000001FFC0000003FE0000000
10035 0000003FFC0000003FE00000000000007FF80000007FE0000000000000FFF00000007FE0
10036 000000000000FFE00000007FC0000000000001FFC00000007FC0000000000003FF800000
10037 007FC0000000000007FF800000007FC000000000000FFF000000007FC000000000001FFE
10038 00000000FF8000000000001FFC00000000FF8000000000003FF800000000FF8000000000
10039 007FF000000000FF800000000000FFF00000000000000000000001FFE000000000000000
10040 00000003FFC00000000000000000000003FF800000000000000000000007FF0000000000
10041 0000000000000FFF00000000000000000000001FFE00000000000000000000001FFC0000
10042 0000000000000000003FFC00000000000000000000007FF800000000000000000000007F
10043 F80000000000000000000000FFF00000000000000000000001FFF0000000000000000000
10044 0001FFE00000000000000000000003FFE00000000000000000000007FFC0000000000000
10045 0000000007FFC0000000000000000000000FFFC0000000000000000000001FFF80000000
10046 000000000000001FFF80000000000000000000003FFF80000000000000000000003FFF00
10047 000000000000000000007FFF00000000000000000000007FFF0000000000000000000000
10048 FFFE0000000000000000000000FFFE0000000000000000000001FFFE0000000000000000
10049 000001FFFE0000000000000000000003FFFC0000000000000000000003FFFC0000000000
10050 000000000007FFFC0000000000000000000007FFFC000000000000000000000FFFFC0000
10051 00000000000000000FFFFC000000000000000000001FFFF8000000000000000000001FFF
10052 F8000000000000000000003FFFF8000000000000000000003FFFF8000000000000000000
10053 003FFFF8000000000000000000007FFFF8000000000000000000007FFFF0000000000000
10054 000000007FFFF000000000000000000000FFFFF000000000000000000000FFFFF0000000
10055 00000000000000FFFFF000000000000000000001FFFFF000000000000000000001FFFFF0
10056 00000000000000000001FFFFF000000000000000000003FFFFF000000000000000000003
10057 FFFFF000000000000000000003FFFFF000000000000000000007FFFFF000000000000000
10058 000007FFFFE000000000000000000007FFFFE000000000000000000007FFFFE000000000
10059 00000000000FFFFFE00000000000000000000FFFFFE00000000000000000000FFFFFE000
10060 00000000000000000FFFFFE00000000000000000000FFFFFE00000000000000000000FFF
10061 FFE00000000000000000001FFFFFE00000000000000000001FFFFFE00000000000000000
10062 001FFFFFE00000000000000000001FFFFFE00000000000000000001FFFFFE00000000000
10063 000000001FFFFFE00000000000000000001FFFFFE00000000000000000003FFFFFE00000
10064 000000000000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFF
10065 E00000000000000000003FFFFFE00000000000000000003FFFFFE0000000000000000000
10066 3FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE0000000000000
10067 0000003FFFFFE00000000000000000003FFFFFE00000000000000000003FFFFFE0000000
10068 0000000000003FFFFFE00000000000000000003FFFFFE00000000000000000001FFFFFC0
10069 0000000000000000001FFFFFC00000000000000000001FFFFFC00000000000000000000F
10070 FFFF8000000000000000000007FFFF0000000000000000000003FFFE0000000000000000
10071 000001FFFC00000000000000000000007FF000000000000000000000001FC00000000000
10072 0000>99 142 115 267 116 55 D[<00000007FFFFFFFFFFFFFFFFF000000007FFFFFFFF
10073 FFFFFFFFF000000007FFFFFFFFFFFFFFFFF000000007FFFFFFFFFFFFFFFFF000000007FF
10074 FFFFFFFFFFFFFFF000000007FFFFFFFFFFFFFFFFF000000007FFFFFFFFFFFFFFFFF00000
10075 0007FFFFFFFFFFFFFFFFF000000007FFFFFFFFFFFFFFFFF0000000000000007FFFFFF000
10076 00000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFF
10077 FFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000
10078 007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000
10079 000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000
10080 000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFF
10081 F00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000000000
10082 7FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000
10083 0000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0000000
10084 0000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0
10085 0000000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007F
10086 FFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000000000000000
10087 00007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000000000
10088 00000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000
10089 00000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFF
10090 FFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000
10091 007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000
10092 000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000
10093 000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFF
10094 F00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000000000
10095 7FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000
10096 0000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0000000
10097 0000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0
10098 0000000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007F
10099 FFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000000000000000
10100 00007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000000000
10101 00000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF000
10102 00000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFF
10103 FFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000
10104 007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000000000
10105 000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF00000
10106 000000000000007FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFF
10107 F00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000000000
10108 7FFFFFF00000000000000000007FFFFFF00000000000000000007FFFFFF0000000000000
10109 0000007FFFFFF00000000000000000007FFFFFF00000000FC0000000007FFFFFF0000000
10110 7FF8000000007FFFFFF0000001FFFE000000007FFFFFF0000003FFFF000000007FFFFFF0
10111 000007FFFF800000007FFFFFF000000FFFFFC00000007FFFFFF000001FFFFFE00000007F
10112 FFFFF000003FFFFFF00000007FFFFFF000003FFFFFF00000007FFFFFF000007FFFFFF800
10113 00007FFFFFF000007FFFFFF80000007FFFFFF00000FFFFFFFC0000007FFFFFF00000FFFF
10114 FFFC0000007FFFFFF00000FFFFFFFC0000007FFFFFF00000FFFFFFFC0000007FFFFFE000
10115 00FFFFFFFC000000FFFFFFE00000FFFFFFFC000000FFFFFFE00000FFFFFFFC000000FFFF
10116 FFE00000FFFFFFFC000000FFFFFFC00000FFFFFFFC000000FFFFFFC000007FFFFFF80000
10117 01FFFFFF8000007FFFFFF8000001FFFFFF8000007FFFFFF0000001FFFFFF0000003FFFFF
10118 F0000003FFFFFF0000003FFFFFE0000003FFFFFE0000001FFFFFC0000007FFFFFC000000
10119 1FFFFF8000000FFFFFF80000000FFFFF0000000FFFFFF800000007FFFC0000001FFFFFF0
10120 00000003FFF00000003FFFFFE000000001FFF80000007FFFFFC000000000FFFE000001FF
10121 FFFF00000000007FFFE00007FFFFFE00000000003FFFFE003FFFFFF800000000000FFFFF
10122 FFFFFFFFF0000000000007FFFFFFFFFFFFC0000000000001FFFFFFFFFFFF000000000000
10123 003FFFFFFFFFF8000000000000000FFFFFFFFFC00000000000000000FFFFFFFC00000000
10124 000000000007FFFF00000000000000>100 144 123 269 120 74
10125 D[<FFFFFFFFFFFFFFFFFFFFFFF8000000000000FFFFFFFFFFFFFFFFFFFFFFFFF0000000
10126 0000FFFFFFFFFFFFFFFFFFFFFFFFFF0000000000FFFFFFFFFFFFFFFFFFFFFFFFFFE00000
10127 0000FFFFFFFFFFFFFFFFFFFFFFFFFFFC00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF8000
10128 0000FFFFFFFFFFFFFFFFFFFFFFFFFFFFE0000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFF800
10129 0000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFE000000000003FFFFFF8000000007FFFFFFFF00
10130 0000000003FFFFFF80000000003FFFFFFFC00000000003FFFFFF800000000003FFFFFFE0
10131 0000000003FFFFFF800000000000FFFFFFF00000000003FFFFFF8000000000003FFFFFF8
10132 0000000003FFFFFF8000000000001FFFFFFC0000000003FFFFFF80000000000007FFFFFE
10133 0000000003FFFFFF80000000000003FFFFFF0000000003FFFFFF80000000000001FFFFFF
10134 8000000003FFFFFF80000000000000FFFFFFC000000003FFFFFF80000000000000FFFFFF
10135 E000000003FFFFFF800000000000007FFFFFE000000003FFFFFF800000000000007FFFFF
10136 F000000003FFFFFF800000000000003FFFFFF000000003FFFFFF800000000000003FFFFF
10137 F800000003FFFFFF800000000000001FFFFFF800000003FFFFFF800000000000001FFFFF
10138 FC00000003FFFFFF800000000000001FFFFFFC00000003FFFFFF800000000000001FFFFF
10139 FE00000003FFFFFF800000000000001FFFFFFE00000003FFFFFF800000000000000FFFFF
10140 FE00000003FFFFFF800000000000000FFFFFFF00000003FFFFFF800000000000000FFFFF
10141 FF00000003FFFFFF800000000000000FFFFFFF00000003FFFFFF800000000000000FFFFF
10142 FF00000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10143 FF80000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10144 FF80000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10145 FF80000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10146 FF80000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10147 FF80000003FFFFFF800000000000000FFFFFFF80000003FFFFFF800000000000000FFFFF
10148 FF80000003FFFFFF800000000000000FFFFFFF00000003FFFFFF800000000000000FFFFF
10149 FF00000003FFFFFF800000000000000FFFFFFF00000003FFFFFF800000000000000FFFFF
10150 FF00000003FFFFFF800000000000000FFFFFFE00000003FFFFFF800000000000001FFFFF
10151 FE00000003FFFFFF800000000000001FFFFFFE00000003FFFFFF800000000000001FFFFF
10152 FC00000003FFFFFF800000000000001FFFFFFC00000003FFFFFF800000000000001FFFFF
10153 F800000003FFFFFF800000000000003FFFFFF800000003FFFFFF800000000000003FFFFF
10154 F000000003FFFFFF800000000000007FFFFFF000000003FFFFFF800000000000007FFFFF
10155 E000000003FFFFFF80000000000000FFFFFFC000000003FFFFFF80000000000000FFFFFF
10156 8000000003FFFFFF80000000000001FFFFFF8000000003FFFFFF80000000000003FFFFFF
10157 0000000003FFFFFF80000000000007FFFFFE0000000003FFFFFF8000000000001FFFFFFC
10158 0000000003FFFFFF8000000000003FFFFFF80000000003FFFFFF800000000000FFFFFFE0
10159 0000000003FFFFFF800000000007FFFFFFC00000000003FFFFFF80000000003FFFFFFF80
10160 0000000003FFFFFF8000000007FFFFFFFE000000000003FFFFFFFFFFFFFFFFFFFFFFF800
10161 0000000003FFFFFFFFFFFFFFFFFFFFFFE0000000000003FFFFFFFFFFFFFFFFFFFFFF8000
10162 0000000003FFFFFFFFFFFFFFFFFFFFFE00000000000003FFFFFFFFFFFFFFFFFFFFF00000
10163 0000000003FFFFFFFFFFFFFFFFFFFF0000000000000003FFFFFFFFFFFFFFFFFFF0000000
10164 0000000003FFFFFFFFFFFFFFFFF8000000000000000003FFFFFFC0000000000000000000
10165 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10166 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10167 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10168 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10169 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10170 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10171 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10172 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10173 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10174 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10175 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10176 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10177 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10178 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10179 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10180 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10181 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10182 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10183 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10184 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10185 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10186 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10187 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10188 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10189 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10190 0000000003FFFFFFC00000000000000000000000000003FFFFFFC0000000000000000000
10191 0000000003FFFFFFC00000000000000000000000FFFFFFFFFFFFFFFFFF00000000000000
10192 0000FFFFFFFFFFFFFFFFFF000000000000000000FFFFFFFFFFFFFFFFFF00000000000000
10193 0000FFFFFFFFFFFFFFFFFF000000000000000000FFFFFFFFFFFFFFFFFF00000000000000
10194 0000FFFFFFFFFFFFFFFFFF000000000000000000FFFFFFFFFFFFFFFFFF00000000000000
10195 0000FFFFFFFFFFFFFFFFFF000000000000000000FFFFFFFFFFFFFFFFFF00000000000000
10196 0000>137 142 120 269 159 80 D E /Fw 110 128 df<FFFFFFFFFFFF80FFFFFFFFFF
10197 FF80FFFFFFFFFFFF8001FFC00003FF80007F8000003FC0007F8000001FC0007F80000007
10198 C0007F80000003C0007F80000003C0007F80000001C0007F80000001C0007F80000000E0
10199 007F80000000E0007F80000000E0007F8000000060007F8000000060007F800000006000
10200 7F8000000060007F8000000070007F8000000030007F8000000030007F8000000030007F
10201 8000000000007F8000000000007F8000000000007F8000000000007F8000000000007F80
10202 00000000007F8000000000007F8000000000007F8000000000007F8000000000007F8000
10203 000000007F8000000000007F8000000000007F8000000000007F8000000000007F800000
10204 0000007F8000000000007F8000000000007F8000000000007F8000000000007F80000000
10205 00007F8000000000007F8000000000007F8000000000007F8000000000007F8000000000
10206 007F8000000000007F8000000000007F8000000000007F8000000000007F800000000000
10207 7F8000000000007F8000000000007F8000000000007F8000000000007F8000000000007F
10208 8000000000007F8000000000007F8000000000007F8000000000007F8000000000007FC0
10209 0000000001FFE000000000FFFFFFF8000000FFFFFFF8000000FFFFFFF800000034447CC3
10210 3D>0 D<000000001800000000000000003C00000000000000003C00000000000000007E
10211 00000000000000007E0000000000000000FF0000000000000000FF0000000000000001FF
10212 8000000000000001FF80000000000000037FC0000000000000037FC0000000000000063F
10213 E0000000000000063FE00000000000000C1FF00000000000000C1FF0000000000000180F
10214 F8000000000000180FF80000000000003807FC0000000000003007FC0000000000007003
10215 FE0000000000006003FE000000000000E001FF000000000000C001FF000000000001C000
10216 FF8000000000018000FF80000000000380007FC0000000000300007FC000000000070000
10217 3FE0000000000600003FE0000000000E00001FF0000000000C00001FF0000000001C0000
10218 0FF8000000001800000FF80000000038000007FC0000000030000007FC00000000700000
10219 03FE0000000060000003FE00000000E0000001FF00000000C0000001FF00000001C00000
10220 00FF8000000180000000FF80000003800000007FC0000003000000007FC0000003000000
10221 003FC0000006000000003FE0000006000000001FE000000C000000001FF000000C000000
10222 000FF0000018000000000FF80000180000000007F80000300000000007FC000030000000
10223 0003FC0000600000000003FE0000600000000003FE0000C00000000001FF0000C0000000
10224 0001FF0001800000000000FF8001800000000000FF80030000000000007FC00300000000
10225 00007FC0060000000000003FE0060000000000003FE00C0000000000001FF00C00000000
10226 00001FF01FFFFFFFFFFFFFFFF81FFFFFFFFFFFFFFFF83FFFFFFFFFFFFFFFFC3FFFFFFFFF
10227 FFFFFFFC7FFFFFFFFFFFFFFFFE7FFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFF48477CC651
10228 >I<0000001FFC00000000000001FFFFC0000000000007F007F000000000001F8000FC00
10229 000000007E00003F0000000001FC00001FC000000003F0000007E000000007E0000003F0
10230 0000000FC0000001F80000001F80000000FC0000003F000000007E0000007F000000007F
10231 000000FE000000003F800001FC000000001FC00003FC000000001FE00003F8000000000F
10232 E00007F8000000000FF00007F00000000007F0000FF00000000007F8000FF00000000007
10233 F8001FE00000000003FC001FE00000000003FC003FE00000000003FE003FC00000000001
10234 FE003FC00000000001FE007FC00000000001FF007FC00000000001FF007FC00000000001
10235 FF007F800000000000FF007F8180000000C0FF00FF8180000000C0FF80FF8180000000C0
10236 FF80FF81FFFFFFFFC0FF80FF81FFFFFFFFC0FF80FF81FFFFFFFFC0FF80FF81FFFFFFFFC0
10237 FF80FF81FFFFFFFFC0FF80FF81FFFFFFFFC0FF80FF81FFFFFFFFC0FF80FF8180000000C0
10238 FF80FF8180000000C0FF80FF8180000000C0FF80FF800000000000FF807F800000000000
10239 FF007FC00000000001FF007FC00000000001FF007FC00000000001FF003FC00000000001
10240 FE003FC00000000001FE003FE00000000003FE001FE00000000003FC001FE00000000003
10241 FC000FE00000000003F8000FF00000000007F80007F00000000007F00007F8000000000F
10242 F00003F8000000000FE00003FC000000001FE00001FC000000001FC00000FE000000003F
10243 8000007F000000007F0000007F000000007F0000003F80000000FE0000001FC0000001FC
10244 00000007E0000003F000000003F0000007E000000001FC00001FC0000000007E00003F00
10245 000000001F8000FC000000000007F007F0000000000001FFFFC00000000000001FFC0000
10246 000041487BC54C>I<000000070000000000000007000000000000000700000000000000
10247 0F800000000000000F800000000000000F800000000000001FC00000000000001FC00000
10248 000000001FC00000000000003FE00000000000003FE00000000000003FE0000000000000
10249 7FF00000000000006FF00000000000006FF0000000000000EFF8000000000000C7F80000
10250 00000000C7F8000000000001C7FC00000000000187FC00000000000183FC000000000003
10251 83FE00000000000303FE00000000000301FE00000000000701FF00000000000601FF0000
10252 0000000600FF00000000000E00FF80000000000C00FF80000000000C007F80000000000C
10253 007F800000000018007FC00000000018003FC00000000018003FC00000000030003FE000
10254 00000030001FE00000000030001FE00000000060001FF00000000060000FF00000000060
10255 000FF000000000C0000FF800000000C00007F800000000C00007F800000001800007FC00
10256 000001800003FC00000001800003FC00000003000003FE00000003000001FE0000000300
10257 0001FE00000006000001FF00000006000000FF00000006000000FF0000000C000000FF80
10258 00000C0000007F8000000C0000007F800000180000007FC00000180000003FC000001800
10259 00003FC00000300000003FE00000300000001FE00000300000001FE00000700000001FF0
10260 0000600000001FF00000E00000000FF00000F00000000FF80001F00000000FF80003F800
10261 00000FFC000FFE0000003FFE00FFFFC00007FFFFF8FFFFC00007FFFFF8FFFFC00007FFFF
10262 F83D477DC644>I<3FFFFFFFFFFFFC3FFFFFFFFFFFFC3FFFFFFFFFFFFC3FFFFFFFFFFFFC
10263 3FFFFFFFFFFFFC3FFFFFFFFFFFFC3800000000001C3000000000000C7000000000000E70
10264 00000000000E600000000000066000000000000660000000000006600000000000066000
10265 000000000600000000000000000000000000000000000000000000000000000000000000
10266 000000000000000000000000000000000000000000000000000000000000000000000000
10267 000000006000000006000060000000060000600000000600006000000006000060000000
10268 0600007FFFFFFFFE00007FFFFFFFFE00007FFFFFFFFE00007FFFFFFFFE00007FFFFFFFFE
10269 00007FFFFFFFFE0000600000000600006000000006000060000000060000600000000600
10270 006000000006000000000000000000000000000000000000000000000000000000000000
10271 000000000000000000000000000000000000000000000000000000000000000000000000
10272 000000000000000000000000C0000000000003C0000000000003C0000000000003C00000
10273 00000003C0000000000003C0000000000003E0000000000007E000000000000760000000
10274 0000067000000000000E7FFFFFFFFFFFFE7FFFFFFFFFFFFE7FFFFFFFFFFFFE7FFFFFFFFF
10275 FFFE7FFFFFFFFFFFFE7FFFFFFFFFFFFE38447CC341>I<FFFFFFFFFFFFFF00FFFFFFFFFF
10276 FFFF00FFFFFFFFFFFFFF007FE00000003FFF007FE000000003FF803FF0000000007F801F
10277 F8000000003F801FF8000000001F800FFC000000000F8007FE00000000078007FE000000
10278 00038003FF0000000003C001FF0000000001C001FF8000000001C000FFC000000001C000
10279 7FC000000000C0007FE000000000C0003FF000000000C0001FF000000000E0001FF80000
10280 000060000FFC00000000600007FC00000000600007FE00000000000003FF000000000000
10281 01FF00000000000001FF80000000000000FFC00000000000007FC00000000000007FE000
10282 00000000003FF00000000000001FF00000000000001FF80000000000000FFC0000000000
10283 0007FC00000000000007FC00000000000003FC00000000000001F800000000000001F000
10284 000000000000E000000000000001C0000000000000038000000000000003000000000000
10285 0007000000000000000E000000000000001C000000000000003800000000600000700000
10286 0000600000E000000000600000C000000000E00001C000000000C000038000000000C000
10287 070000000000C0000E0000000001C0001C0000000001C000380000000001C00070000000
10288 0003C0006000000000038000E000000000078001C0000000000F800380000000001F8007
10289 00000000003F800E00000000007F801C0000000003FF8018000000007FFF803FFFFFFFFF
10290 FFFF007FFFFFFFFFFFFF00FFFFFFFFFFFFFF00FFFFFFFFFFFFFF003B447BC346>6
10291 D<007F800000007F000001FFE0000003FFC00007FFF800000FFFF0000FFFFE00001FFFF8
10292 000FFFFF00003FFFF8001FFFFF80007FFFFC003FFFFFC000FFFFFE003F007FC001FF007E
10293 007C001FE003FC001F0078000FF003F8000F00700003F007F0000700E00003F807E00003
10294 80E00001F80FC0000380C00000FC0FC0000180C000007C1F80000180C000007E1F800001
10295 800000003E1F000000000000003E3F000000000000003F3E000000000000001F3E000000
10296 000000001F3E000000000000001F3E000000000000000FFC000000000000000FFC000000
10297 000000000FFC000000000000000FFC000000000000000FFC000000000000000FF8000000
10298 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10299 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10300 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10301 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10302 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10303 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10304 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10305 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10306 0000000007F80000000000000007F80000000000000007F80000000000000007F8000000
10307 0000000007F8000000000000000FFC000000000000001FFE0000000000007FFFFFFF8000
10308 0000007FFFFFFF80000000007FFFFFFF80000041467BC54C>I<00007FFFFFFF80000000
10309 007FFFFFFF80000000007FFFFFFF8000000000001FFE000000000000000FFC0000000000
10310 000007F80000000000000007F80000000000000007F80000000000000007F80000000000
10311 000007F80000000000000007F80000000000000007F80000000000000007F800000000FF
10312 800007F80000FF80FFE00007F80003FF801FF00007F80007FC000FF80007F8000FF80007
10313 F80007F8000FF00007FC0007F8001FF00003FC0007F8001FE00003FC0007F8001FE00003
10314 FE0007F8003FE00001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001
10315 FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001
10316 FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001FE0007F8003FC00001
10317 FE0007F8003FC00000FF0007F8003F800000FF0007F8007F800000FF0007F8007F800000
10318 FF0007F8007F800000FF0007F8007F8000007F8007F800FF0000007F8007F800FF000000
10319 3F8007F800FE0000003FC007F801FE0000001FC007F801FE0000001FE007F803FC000000
10320 0FE007F803F800000007F007F807F800000003F807F807F000000001FC07F80FE0000000
10321 00FE07F81FC0000000007F07F87F00000000001FC7F8FE000000000007FFFFF800000000
10322 0001FFFFC00000000000001FFC0000000000000007F80000000000000007F80000000000
10323 000007F80000000000000007F80000000000000007F80000000000000007F80000000000
10324 000007F80000000000000007F8000000000000000FFC000000000000001FFE0000000000
10325 007FFFFFFF80000000007FFFFFFF80000000007FFFFFFF80000041447BC34C>9
10326 D<0000007FF000000000000FFFFF80000000003FC01FE000000000FE0003F800000003F8
10327 0000FE0000000FE000003F8000001FC000001FC000007F8000000FF00000FF00000007F8
10328 0001FE00000003FC0003FC00000001FE0007FC00000001FF0007F800000000FF000FF000
10329 0000007F800FF0000000007F801FF0000000007FC01FE0000000003FC03FE0000000003F
10330 E03FE0000000003FE03FE0000000003FE07FC0000000001FF07FC0000000001FF07FC000
10331 0000001FF07FC0000000001FF07FC0000000001FF07FC0000000001FF07FC0000000001F
10332 F07FC0000000001FF07FC0000000001FF07FC0000000001FF03FE0000000003FE03FE000
10333 0000003FE03FE0000000003FE03FE0000000003FE01FE0000000003FC01FF0000000007F
10334 C00FF0000000007F800FF0000000007F8007F800000000FF0007F800000000FF0003F800
10335 000000FE0003FC00000001FE0001FC00000001FC0000FC00000001F80000FE00000003F8
10336 00007E00000003F000007F00000007F000003F00000007E000001F00000007C000001F80
10337 00000FC000000F8000000F800000078000000F00000007C000001F00000003C000001E00
10338 00C003C000001E0018C001E000003C0018C001E000003C00186000E000003800306000F0
10339 000078003060007000007000306000700000700030700030000060007030003000006000
10340 603800380000E000E03FFFF80000FFFFE03FFFF80000FFFFE03FFFF80000FFFFE01FFFF8
10341 0000FFFFC01FFFF80000FFFFC01FFFF80000FFFFC03D467CC546>I<000000FFC001FC00
10342 00000FFFF80FFF0000003F803E3F03C00000FC00077E07E00003F8000FFC0FF00007F000
10343 3FF81FF0000FE0007FF01FF0001FC0007FF01FF0003F80007FE01FF0007F00007FE01FF0
10344 007F00007FE00FE000FF00003FC0038000FE00001FC0000000FE00001FC0000000FE0000
10345 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000
10346 00FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE0000
10347 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000FFFFFFFFFFFFF000
10348 FFFFFFFFFFFFF000FFFFFFFFFFFFF00000FE00001FC0000000FE00001FC0000000FE0000
10349 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000
10350 00FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE0000
10351 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000
10352 00FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE0000
10353 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000
10354 00FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE0000
10355 1FC0000000FE00001FC0000000FE00001FC0000000FE00001FC0000000FE00001FC00000
10356 00FE00001FC0000000FE00001FC0000001FF00003FF000007FFFFC0FFFFFE0007FFFFC0F
10357 FFFFE0007FFFFC0FFFFFE0003C467EC539>I<000001FF000000000FFFE00000007F80F8
10358 000001FC001C000003F8000E000007E0000F00000FC0007F00001FC000FF80003F8000FF
10359 80007F0000FF80007F0000FF8000FF0000FF8000FE00007F0000FE00003E0000FE000000
10360 0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000
10361 0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE00003F
10362 80FFFFFFFFFF80FFFFFFFFFF80FFFFFFFFFF8000FE0000FF8000FE00007F8000FE00003F
10363 8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F
10364 8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F
10365 8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F
10366 8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F
10367 8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F
10368 8000FE00003F8000FE00003F8000FE00003F8001FF00007FC07FFFFC1FFFFF7FFFFC1FFF
10369 FF7FFFFC1FFFFF30467EC536>I<000001FFC00000000FFFFB8000007F803F800001FC00
10370 3F800003F800FF800007E000FF80001FC000FF80001FC000FF80003F8000FF80007F0000
10371 FF80007F00007F8000FF00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10372 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10373 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F80FFFFFFFF
10374 FF80FFFFFFFFFF80FFFFFFFFFF8000FE00003F8000FE00003F8000FE00003F8000FE0000
10375 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10376 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10377 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10378 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10379 3F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE00003F8000FE0000
10380 3F8000FE00003F8000FE00003F8001FF00007FC07FFFFC1FFFFF7FFFFC1FFFFF7FFFFC1F
10381 FFFF30467EC536>I<000000FF80003FE0000000000FFFF001FFFC000000003F807C0FF0
10382 1F00000000FC000E3F800380000003F800077F0001C0000007F0000FFC0001E000000FE0
10383 003FF8000FE000001FC0007FF8001FF000003F80007FF0001FF000007F00007FE0001FF0
10384 00007F00007FE0001FF00000FF00007FE0001FF00000FE00007FC0000FE00000FE00001F
10385 C00007C00000FE00001FC00000000000FE00001FC00000000000FE00001FC00000000000
10386 FE00001FC00000000000FE00001FC00000000000FE00001FC00000000000FE00001FC000
10387 00000000FE00001FC00000000000FE00001FC00000000000FE00001FC00000000000FE00
10388 001FC00000000000FE00001FC00000000000FE00001FC00007F000FFFFFFFFFFFFFFFFF0
10389 00FFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFF00000FE00001FC0001FF00000FE00001F
10390 C0000FF00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000
10391 FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC000
10392 07F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00
10393 001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F0
10394 0000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001F
10395 C00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000
10396 FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC000
10397 07F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00
10398 001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F0
10399 0000FE00001FC00007F00000FE00001FC00007F00001FF00003FE0000FF8007FFFFC0FFF
10400 FF83FFFFE07FFFFC0FFFFF83FFFFE07FFFFC0FFFFF83FFFFE04B467EC551>I<000000FF
10401 C0003FF8000000000FFFF001FFFF700000003F803C0FF007F0000000FC000F3F8007F000
10402 0003F8001FFF001FF0000007F0003FFC001FF000000FE0007FF8001FF000001FC0007FF8
10403 001FF000003F80007FF0001FF000007F00007FE0001FF000007F00007FE0000FF00000FF
10404 00003FE00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007
10405 F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE0000
10406 1FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F000
10407 00FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC0
10408 0007F00000FE00001FC00007F000FFFFFFFFFFFFFFFFF000FFFFFFFFFFFFFFFFF000FFFF
10409 FFFFFFFFFFFFF00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007
10410 F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE0000
10411 1FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F000
10412 00FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC0
10413 0007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE
10414 00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007
10415 F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE0000
10416 1FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F000
10417 00FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC0
10418 0007F00000FE00001FC00007F00000FE00001FC00007F00000FE00001FC00007F00000FE
10419 00001FC00007F00001FF00003FE0000FF8007FFFFC0FFFFF83FFFFE07FFFFC0FFFFF83FF
10420 FFE07FFFFC0FFFFF83FFFFE04B467EC551>I<01FC00FFFC00FFFC00FFFC0007FC0003FC
10421 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC
10422 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC
10423 0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFF
10424 F8FFFFF8FFFFF8152C7DAB1C>I<7C0000FC0000FE0000FF0000FF00007F80003FC0001F
10425 E0000FE00007F00003F80000F800007C00003E00001E00000F00000380000100111275C4
10426 31>18 D<001F00001F80003F80007F80007F8000FF0001FE0003FC0003F80007F0000FE0
10427 000F80001F00003E00003C0000780000E0000040000011126CC431>I<FFFFFFFFC0FFFF
10428 FFFFC0FFFFFFFFC0220379B931>22 D<03F0000FFC001C0E00300300600180600180C000
10429 C0C000C0C000C0C000C0C000C06001806001803003001C0E000FFC0003F000121165C649
10430 >I<000000000600000000000600000000000C00000000001C0000000000180000000000
10431 380000000000300000000000600000007F8060000003FFF0C000000FC0FCC000003E001F
10432 8000007C000F800000F00003C00001E00007E00003E00007F00007C0000CF8000F80000C
10433 7C000F8000187C001F8000187E003F0000303F003F0000703F003F0000603F007F0000E0
10434 3F807E0000C01F807E0001801F807E0001801F80FE0003001FC0FE0003001FC0FE000600
10435 1FC0FE000E001FC0FE000C001FC0FE001C001FC0FE0018001FC0FE0030001FC0FE003000
10436 1FC0FE0060001FC07E0060001F807E00C0001F807F01C0003F803F0180003F003F038000
10437 3F001F0300003E001F8600007E000F8600007C000FCC0000FC0007CC0000F80003F80001
10438 F00001F80003E00000F80007C000007E001F0000007F807E000000C7FFF8000000C07F80
10439 00000180000000000180000000000300000000000700000000000600000000000E000000
10440 00000C00000000001800000000001800000000002A3F7DB431>28
10441 D<00000000000000700000000000000000600000000000000000E0000000001FFC0001C0
10442 00000001FFFFC0018000000007F007F003000000001F8000FC07000000007E00003F0600
10443 000001F800000FCC00000003E0000003FC00000007C0000001F80000000F80000000F800
10444 00001F000000007C0000003E000000007E0000007C00000000DF000000FC00000001DF80
10445 0001F8000000018FC00003F8000000030FE00003F00000000707E00007F00000000607F0
10446 0007E00000000C03F0000FE00000001C03F8000FC00000001801F8001FC00000003001FC
10447 001FC00000007001FC003F80000000E000FE003F80000000C000FE003F80000001C000FE
10448 007F800000038000FF007F800000030000FF007F800000060000FF007F0000000E00007F
10449 007F0000000C00007F00FF0000001800007F80FF0000003800007F80FF0000003000007F
10450 80FF0000006000007F80FF000000E000007F80FF000000C000007F80FF0000018000007F
10451 80FF0000038000007F80FF0000030000007F80FF0000060000007F80FF00000E0000007F
10452 80FF00000C0000007F80FF0000180000007F807F0000380000007F007F0000300000007F
10453 007F800060000000FF007F8000E0000000FF003F8001C0000000FE003F800180000000FE
10454 003F800380000000FE001FC00700000001FC001FC00600000001FC000FC00C00000001F8
10455 000FE01C00000003F80007E01800000003F00007E03000000003F00003F07000000007E0
10456 0003F06000000007E00001F8C00000000FC00000FDC00000001F8000007D800000001F00
10457 00007F000000003F0000003F000000007E0000001F80000000FC0000000FC0000001F000
10458 00001FE0000003E000000019F800000FC0000000307C00001F00000000701F8000FC0000
10459 00006007F007F000000000C001FFFFC000000001C0001FFC000000000380000000000000
10460 00030000000000000000070000000000000000414E7BC84C>31 D<00000800007C0003FC
10461 000FF0007FC001FE000FF0003FC000FE0000F80000400000160B7EA61B>I<1E007F80FF
10462 C0FFC0FFC0FFC0FFC0FFC0FFC0FFC0FFC07F807F807F807F807F807F807F807F807F807F
10463 807F807F803F003F003F003F003F003F003F003F003F003F003F001E001E001E001E001E
10464 001E001E001E001E001E001E001E000C000C000C000C000C000000000000000000000000
10465 0000000000000000001E007F807F80FFC0FFC0FFC0FFC07F807F801E000A4778C61B>I<
10466 1E0003C07F800FF0FF801FF0FFC01FF8FFC01FF8FFE01FFCFFE01FFCFFE01FFC7FE00FFC
10467 1E6003CC0060000C0060000C0060000C0060000C00E0001C00C0001800C0001800C00018
10468 01C00038018000300380007003000060070000E0060000C00E0001C01C00038038000700
10469 70000E0060000C001E1D7DC431>I<001F80000000001800007FE0000000003C0000F078
10470 000000007C0003E01C00000000FC0007C00E00000001F8000F800F00000003F0000F8007
10471 80000007F0001F0003E000000FE0001F0003F000003FC0003E0001BE0000FFC0003E0001
10472 CFC00FCF80007E0000C1FFFF1F00007E0000C03FF01F00007C0000C000003E00007C0000
10473 E000007E0000FC00006000007C0000FC0000600000F80000FC0000600001F80000FC0000
10474 600001F00000FC0000600003E00000FC0000600007E00000FC0000600007C00000FC0000
10475 60000F800000FC000060001F800000FC000060001F000000FC000060003E0000007C0000
10476 E0007E0000007C0000C0007C0000007E0000C000F80000007E0000C001F80000003E0001
10477 C001F00000003E00018003E00000001F00038003E00000001F00030007C00000000F8007
10478 000FC00000000F800E000F8000000007C00C001F0000000003E01C003F0000000000F078
10479 003E00000000007FE0007C00000000001F8000FC0003F00000000000F8000FFC00000000
10480 01F0001E0F0000000003F0007C038000000003E000F8018000000007C001F001C0000000
10481 0FC001F000E00000000F8003E000600000001F0003E000700000001F0007C00030000000
10482 3E0007C000380000007E000FC000180000007C000FC00018000000F8000F800018000001
10483 F8000F80001C000001F0001F80000C000003E0001F80000C000007E0001F80000C000007
10484 C0001F80000C00000F80001F80000C00001F80001F80000C00001F00001F80000C00003E
10485 00001F80000C00007E00001F80000C00007C00001F80000C0000F800001F80000C0001F8
10486 00000F80001C0001F000000F8000180003E000000FC000180003E000000FC000180007C0
10487 000007C00038000FC0000007C00030000F80000003E00070001F00000003E00060003F00
10488 000001F000E0003E00000001F001C0007C00000000F8018000FC000000007C038000F800
10489 0000001E0F0000F0000000000FFC0000600000000003F00046517BCA51>37
10490 D<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60006000600060006000E000C000C000
10491 C001C0018003800300070006000E001C003800700060000B1D78C41B>39
10492 D<00000C00001C0000380000700000E00001C00003C0000780000F00000F00001E00003C
10493 00003C0000780000F80000F00001F00001E00003E00003E00007C00007C00007C0000F80
10494 000F80000F80001F00001F00001F00003F00003F00003E00003E00007E00007E00007E00
10495 007E00007C00007C00007C0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC00
10496 00FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC00
10497 007C00007C00007C00007E00007E00007E00007E00003E00003E00003F00003F00001F00
10498 001F00001F00000F80000F80000F800007C00007C00007C00003E00003E00001E00001F0
10499 0000F00000F800007800003C00003C00001E00000F00000F000007800003C00001C00000
10500 E000007000003800001C00000C166476CA26>I<C00000E000007000003800001C00000E
10501 00000F000007800003C00003C00001E00000F00000F000007800007C00003C00003E0000
10502 1E00001F00001F00000F80000F80000F800007C00007C00007C00003E00003E00003E000
10503 03F00003F00001F00001F00001F80001F80001F80001F80000F80000F80000F80000FC00
10504 00FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC00
10505 00FC0000FC0000FC0000FC0000FC0000FC0000FC0000F80000F80000F80001F80001F800
10506 01F80001F80001F00001F00003F00003F00003E00003E00003E00007C00007C00007C000
10507 0F80000F80000F80001F00001F00001E00003E00003C00007C0000780000F00000F00001
10508 E00003C00003C0000780000F00000E00001C0000380000700000E00000C0000016647BCA
10509 26>I<0000F000000000F000000000F800000000F000000000F000000000F000000000F0
10510 00000000F000000000F000000000F000007800F001E0FC00F003F0FF00F00FF07F80F01F
10511 E03FC0F03FC00FF060FF0003F861FC0000FC63F000003F6FC000000FFF00000003FC0000
10512 0000F000000003FC0000000FFF0000003F6FC00000FC63F00003F861FC000FF060FF003F
10513 C0F03FC07F80F01FE0FF00F00FF0FC00F003F07800F001E00000F000000000F000000000
10514 F000000000F000000000F000000000F000000000F000000000F800000000F000000000F0
10515 0000242B7ACA31>I<00000000C00000000000000001E00000000000000001E000000000
10516 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10517 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10518 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10519 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10520 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10521 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10522 00000001E00000000000000001E00000000000000001E0000000007FFFFFFFFFFFFFFF00
10523 FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFF0000000001E000000000
10524 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10525 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10526 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10527 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10528 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10529 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10530 00000001E00000000000000001E00000000000000001E00000000000000001E000000000
10531 00000000C00000000041407BB84C>I<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60
10532 006000600060006000E000C000C000C001C0018003800300070006000E001C0038007000
10533 60000B1D78891B>I<FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC0FFFFFFC01A067F
10534 9721>I<1E007F807F80FFC0FFC0FFC0FFC07F807F801E000A0A78891B>I<000000001800
10535 0000003C000000007C000000007C000000007800000000F800000000F800000000F00000
10536 0001F000000001F000000001E000000003E000000003E000000003C000000007C0000000
10537 07C000000007800000000F800000000F800000001F000000001F000000001E000000003E
10538 000000003E000000003C000000007C000000007C000000007800000000F800000000F800
10539 000000F000000001F000000001F000000003E000000003E000000003C000000007C00000
10540 0007C000000007800000000F800000000F800000000F000000001F000000001F00000000
10541 1E000000003E000000003E000000003C000000007C000000007C00000000F800000000F8
10542 00000000F000000001F000000001F000000001E000000003E000000003E000000003C000
10543 000007C000000007C000000007800000000F800000000F800000000F000000001F000000
10544 001F000000003E000000003E000000003C000000007C000000007C000000007800000000
10545 F800000000F800000000F000000001F000000001F000000001E000000003E000000003E0
10546 00000007C000000007C000000007800000000F800000000F800000000F000000001F0000
10547 00001F000000001E000000003E000000003E000000003C000000007C000000007C000000
10548 007800000000F800000000F800000000F000000000600000000026647BCA31>I<0000FF
10549 00000007FFE000001F81F800003E007C0000FC003F0001F8001F8001F0000F8003E00007
10550 C007C00003E007C00003E00FC00003F00F800001F01F800001F81F800001F83F800001FC
10551 3F800001FC3F800001FC3F000000FC7F000000FE7F000000FE7F000000FE7F000000FE7F
10552 000000FEFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF00
10553 0000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF0000
10554 00FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000
10555 FFFF000000FF7F000000FE7F000000FE7F000000FE7F000000FE7F000000FE7F800001FE
10556 3F800001FC3F800001FC3F800001FC1F800001F81F800001F80FC00003F00FC00003F00F
10557 C00003F007E00007E003E00007C003F0000FC001F8001F8000FC003F00003E007C00001F
10558 81F8000007FFE0000000FF000028447CC131>I<000030000000F0000001F0000003F000
10559 001FF00000FFF000FFFFF000FFE7F000FF07F0000007F0000007F0000007F0000007F000
10560 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
10561 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
10562 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
10563 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
10564 0007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F000
10565 0007F0000007F0000007F000000FF800001FFC007FFFFFFF7FFFFFFF7FFFFFFF204278C1
10566 31>I<0003FE0000001FFFC000007FFFF00001F80FFC0003C001FE00078000FF000E0000
10567 7F801C00003FC01C00001FE03800001FF03000000FF07000000FF860000007F86C000007
10568 F8FF000007FCFF800007FCFFC00007FCFFC00003FCFFC00003FCFFC00003FCFFC00003FC
10569 7F800007FC3F000007FC00000007FC00000007F800000007F80000000FF80000000FF000
10570 00001FF00000001FE00000001FE00000003FC00000007F800000007F00000000FF000000
10571 00FE00000001FC00000003F800000007F000000007E00000000FC00000001F800000003F
10572 000000007C00000000F800000000F000000001E000000003C000000007800000000F0000
10573 0C001E00000C003C00000C0038000018007000001800E000001801C00000180380000038
10574 07000000300E000000701FFFFFFFF01FFFFFFFF03FFFFFFFF07FFFFFFFF0FFFFFFFFE0FF
10575 FFFFFFE0FFFFFFFFE026427BC131>I<0001FF0000000FFFE000003FFFFC0000FE01FE00
10576 01F0007F8003C0003FC00700001FE00E00001FE00E00000FF00FE0000FF01FF0000FF81F
10577 F0000FF81FF00007F81FF80007F81FF00007F81FF00007F80FE0000FF803C0000FF80000
10578 000FF00000000FF00000000FF00000001FE00000001FE00000003FC00000003F80000000
10579 7F00000000FE00000001FC00000003F00000001FC000000FFF0000000FFFF000000001FC
10580 000000007F000000003F800000001FC00000000FE00000000FF000000007F800000007FC
10581 00000003FC00000003FE00000003FE00000001FE00000001FF00000001FF00000001FF1E
10582 000001FF7F800001FFFFC00001FFFFC00001FFFFC00001FFFFC00001FFFFC00001FEFF80
10583 0003FEFF800003FE7E000003FC70000007FC30000007F83800000FF81C00000FF00E0000
10584 1FE00780003FC003E0007F8001FE01FE00007FFFF800000FFFE0000001FF000028447CC1
10585 31>I<0000000380000000000380000000000780000000000F80000000000F8000000000
10586 1F80000000003F80000000003F80000000007F8000000000FF8000000000FF8000000001
10587 FF8000000003BF80000000033F80000000073F80000000063F800000000C3F800000001C
10588 3F80000000183F80000000303F80000000703F80000000603F80000000C03F80000001C0
10589 3F80000001803F80000003003F80000007003F80000006003F8000000C003F8000001C00
10590 3F80000018003F80000030003F80000070003F80000060003F800000E0003F800001C000
10591 3F80000180003F80000380003F80000300003F80000600003F80000E00003F80000C0000
10592 3F80001800003F80003800003F80003000003F80006000003F8000E000003F8000FFFFFF
10593 FFFFC0FFFFFFFFFFC0FFFFFFFFFFC00000003F80000000003F80000000003F8000000000
10594 3F80000000003F80000000003F80000000003F80000000003F80000000003F8000000000
10595 3F80000000003F80000000003F80000000003F8000000000FFE00000007FFFFFC000007F
10596 FFFFC000007FFFFFC02A437DC231>I<06000000C007C00007C007FC007F8007FFFFFF00
10597 07FFFFFE0007FFFFFC0007FFFFF80007FFFFE00007FFFF8000063FFC0000060000000006
10598 000000000600000000060000000006000000000600000000060000000006000000000600
10599 000000060000000006000000000600000000060000000006000000000600FF00000607FF
10600 C000061F01F000063800FC0006F0007E0007C0003F000780001F800780001FC00700000F
10601 C00600000FE000000007F000000007F000000007F000000007F800000003F800000003F8
10602 00000003FC00000003FC00000003FC00000003FC00000003FC3E000003FC7F000003FCFF
10603 800003FCFF800003FCFF800003FCFF800003FCFF800003F8FF000007F8FE000007F86000
10604 0007F060000007F07000000FF03000000FE03800001FC01C00001FC01E00003F800F0000
10605 7F00078000FE0003C001FC0001F807F000007FFFE000001FFF00000007F8000026447BC1
10606 31>I<000007FC0000003FFF000000FFFFC00003FC03E00007E000F0001FC00038003F00
10607 0058007E0001FC00FE0003FC00FC0007FC01F80007FC03F00007FC03F00007FC07E00003
10608 F80FE00001F00FE00000001FC00000001FC00000001FC00000003F800000003F80000000
10609 3F800000007F800000007F800000007F007F80007F01FFF0007F0780FC00FF0E003E00FF
10610 1C001F80FF38000FC0FF700007E0FF600007E0FFE00003F0FFC00003F8FFC00001F8FFC0
10611 0001FCFF800001FCFF800000FEFF800000FEFF800000FEFF000000FFFF000000FFFF0000
10612 00FFFF000000FF7F000000FF7F000000FF7F000000FF7F000000FF7F000000FF7F800000
10613 FF3F800000FF3F800000FF3F800000FE1F800000FE1F800001FE1FC00001FC0FC00001FC
10614 0FC00003F807E00003F807E00007F003F00007E001F8000FC000FC001F80007E003F0000
10615 3F80FE00000FFFF8000003FFE0000000FF800028447CC131>I<1C00000000001C000000
10616 00001F80000000001FFFFFFFFFC01FFFFFFFFFC01FFFFFFFFFC03FFFFFFFFF803FFFFFFF
10617 FF803FFFFFFFFF003FFFFFFFFE00380000000C00300000001C0070000000380060000000
10618 300060000000700060000000E00060000000C000C0000001C000C00000038000C0000007
10619 00000000000600000000000E00000000001C000000000018000000000038000000000070
10620 0000000000600000000000E00000000001C00000000001C0000000000380000000000780
10621 000000000700000000000F00000000000F00000000001F00000000001E00000000003E00
10622 000000003E00000000007E00000000007C00000000007C0000000000FC0000000000FC00
10623 00000001FC0000000001FC0000000001FC0000000003F80000000003F80000000003F800
10624 00000003F80000000007F80000000007F80000000007F80000000007F80000000007F800
10625 00000007F8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF800
10626 0000000FF8000000000FF8000000000FF8000000000FF8000000000FF80000000007F000
10627 00000001C00000002A457BC231>I<0000FF00000007FFE000001FFFF800007F00FE0000
10628 FC003F0001F0001F8003E0000FC003C00007E007C00003F00F800001F00F800001F00F00
10629 0001F81F000000F81F000000F81F000000F81F000000F81F800000F81F800000F81FC000
10630 01F81FC00001F01FE00001F00FF00003E00FFC0003E007FE0007C007FF800F8003FFC01F
10631 0001FFF03E0001FFF87800007FFEF000003FFFC000001FFFC0000007FFE0000003FFF800
10632 0007FFFC00001E7FFF00007C1FFF8000F80FFFC001E003FFE003C001FFF007C0007FF80F
10633 80003FFC1F00000FFC3E000007FE3E000001FE7C000000FE7C000000FF7C0000007FF800
10634 00003FF80000003FF80000001FF80000001FF80000001FF80000001FF80000001FFC0000
10635 001E7C0000003E7C0000003E7E0000003C3E0000007C1F000000F81F800001F00FC00003
10636 E007E00007C003F8001F8000FF00FF00003FFFFC00000FFFF0000001FF800028447CC131
10637 >I<0000FF00000007FFE000001FFFF800007F80FC0000FC007E0001F8003F0003F0001F
10638 8007E0000FC00FE00007E01FC00007E01FC00003F03F800003F03F800003F87F800001F8
10639 7F000001FC7F000001FCFF000001FCFF000001FCFF000001FEFF000000FEFF000000FEFF
10640 000000FEFF000000FEFF000000FEFF000000FFFF000000FFFF000000FFFF000000FF7F00
10641 0001FF7F000001FF7F000001FF3F800001FF3F800003FF1F800003FF1FC00003FF0FC000
10642 07FF07E00006FF07E0000EFF03F0001CFF01F80038FF007C0070FF003F01E0FF000FFF80
10643 FE0001FE00FE00000000FE00000001FE00000001FC00000001FC00000001FC00000001FC
10644 00000003F800000003F800000003F00F800007F01FC00007E03FE0000FE03FE0000FC03F
10645 E0001F803FE0001F803FC0003F003F80007E001E0000FC001C0001F8000F0003F00007E0
10646 1FE00003FFFF800000FFFE0000001FF0000028447CC131>I<1E007F807F80FFC0FFC0FF
10647 C0FFC07F807F801E00000000000000000000000000000000000000000000000000000000
10648 000000000000000000000000000000000000001E007F807F80FFC0FFC0FFC0FFC07F807F
10649 801E000A2B78AA1B>I<1E007F807F80FFC0FFC0FFC0FFC07F807F801E00000000000000
10650 000000000000000000000000000000000000000000000000000000000000000000000000
10651 000000001E007F00FF80FF80FFC0FFC0FFC0FFC07FC01EC000C000C000C000C000C001C0
10652 01800180018003800300070006000E000C001C003800700060000A3E78AA1B>I<7FFFFF
10653 FFFFFFFFFF00FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFF00000000
10654 000000000000000000000000000000000000000000000000000000000000000000000000
10655 000000000000000000000000000000000000000000000000000000000000000000000000
10656 000000000000000000000000000000000000000000000000000000000000000000000000
10657 0000000000000000000000000000000000000000000000000000000000000000007FFFFF
10658 FFFFFFFFFF00FFFFFFFFFFFFFFFF80FFFFFFFFFFFFFFFF807FFFFFFFFFFFFFFF0041187B
10659 A44C>61 D<000FFC0000007FFFC00001F007F000078001FC000E0000FE001C00007F0038
10660 00003F807000003FC06000001FC0FE00001FE0FF00001FE0FF80001FE0FF80001FE0FF80
10661 001FE0FF80001FE0FF80001FE07F00001FE01C00003FC00000003FC00000007F80000000
10662 7F80000000FF00000001FE00000003F800000007F000000007E00000000FC00000001F80
10663 0000001F000000003E000000003C00000000780000000078000000007000000000F00000
10664 0000E000000000E000000000C000000001C000000001C000000001C00000000180000000
10665 018000000001800000000180000000018000000001800000000180000000018000000001
10666 800000000000000000000000000000000000000000000000000000000000000000000000
10667 00000000000000000000000000000000000003C00000000FF00000000FF00000001FF800
10668 00001FF80000001FF80000001FF80000000FF00000000FF000000003C0000023467BC52E
10669 >63 D<0000001FFC00000000000001FFFFC0000000000007E003F000000000001E00003C
10670 00000000007800000F0000000001E0000003C00000000380000000E00000000F00000000
10671 780000001C000000001C00000038000000000E000000700000000007000000E000000000
10672 03800000C00000000001800001C00000000001C0000380000FF00000E0000300003FFC00
10673 006000070000FC0F000070000E0003F003C00038000C0007C000E00018001C001F800070
10674 001C0018003F800038000C0038003F00001C000E0030007E00000FF006003000FE00000F
10675 F006007000FC000007F007006001FC000007F003006001FC000007F003006003F8000007
10676 F003006003F8000007F00300E003F8000007F00380C007F0000007F00180C007F0000007
10677 F00180C007F0000007F00180C007F0000007F00180C007F0000007F00180C007F0000007
10678 F00180C007F0000007F00180C007F0000007F00180C007F0000007F00180C007F0000007
10679 F00180C007F0000007F00180E003F8000007F001806003F8000007F001806003F8000007
10680 F001806001FC000007F001806001FC000007F003807000FC000007F003003000FE00000F
10681 F0030030007E00000FF0030038003F00001FF0030018003F80003FF007001C001F800077
10682 F006000C0007C000E3F80E000E0003F003C3F81C00070000FC0F00FC38000300003FFC00
10683 7FF0000380000FF0000FC00001C00000000000000000C00000000000000000E000000000
10684 000000007000000000000000003800000000000000001C00000000000000000F00000000
10685 001F80000380000000007F800001E000000003FE000000780000001FF00000001E000001
10686 FF8000000007E0007FF80000000001FFFFFF0000000000001FFFC000000041477BC54C>
10687 I<00000000C00000000000000001E00000000000000001E00000000000000001E0000000
10688 0000000003F00000000000000003F00000000000000003F00000000000000007F8000000
10689 0000000007F80000000000000007F8000000000000000FFC000000000000000FFC000000
10690 000000000FFC0000000000000019FE0000000000000019FE0000000000000019FE000000
10691 0000000030FF0000000000000030FF0000000000000070FF80000000000000607F800000
10692 00000000607F80000000000000E07FC0000000000000C03FC0000000000000C03FC00000
10693 00000001C03FE0000000000001801FE0000000000001801FE0000000000003001FF00000
10694 00000003000FF0000000000003000FF0000000000006000FF80000000000060007F80000
10695 000000060007F800000000000C0003FC00000000000C0003FC00000000000C0003FC0000
10696 000000180001FE0000000000180001FE0000000000180001FE0000000000300000FF0000
10697 000000300000FF0000000000700000FF80000000006000007F80000000006000007F8000
10698 000000E000007FC000000000FFFFFFFFC000000000FFFFFFFFC000000001FFFFFFFFE000
10699 0000018000001FE0000000018000001FE0000000030000001FF0000000030000000FF000
10700 0000030000000FF0000000060000000FF80000000600000007F80000000600000007F800
10701 00000C00000003FC0000000C00000003FC0000000C00000003FC0000001800000001FE00
10702 00001800000001FE0000001800000001FE0000003000000000FF0000003000000000FF00
10703 00007800000000FF800000F800000000FF800001FC00000000FFC0000FFF00000003FFE0
10704 00FFFFE000007FFFFFC0FFFFE000007FFFFFC0FFFFE000007FFFFFC042477DC649>I<FF
10705 FFFFFFFF000000FFFFFFFFFFE00000FFFFFFFFFFFC000001FFC00003FF0000007F800000
10706 FF8000007F8000003FC000007F8000001FE000007F8000000FF000007F80000007F80000
10707 7F80000007FC00007F80000003FC00007F80000003FE00007F80000001FE00007F800000
10708 01FF00007F80000001FF00007F80000001FF00007F80000001FF00007F80000001FF0000
10709 7F80000001FF00007F80000001FF00007F80000001FE00007F80000001FE00007F800000
10710 03FE00007F80000003FC00007F80000007FC00007F80000007F800007F8000000FF00000
10711 7F8000001FE000007F8000007FC000007F800000FF0000007F800003FE0000007F80003F
10712 F00000007FFFFFFFE00000007FFFFFFFFC0000007F800000FF8000007F8000001FC00000
10713 7F8000000FF000007F80000007F800007F80000003FC00007F80000001FE00007F800000
10714 00FF00007F80000000FF80007F800000007F80007F800000007FC0007F800000007FC000
10715 7F800000003FC0007F800000003FE0007F800000003FE0007F800000003FE0007F800000
10716 003FE0007F800000003FE0007F800000003FE0007F800000003FE0007F800000003FE000
10717 7F800000007FC0007F800000007FC0007F800000007F80007F80000000FF80007F800000
10718 01FF00007F80000001FF00007F80000003FE00007F8000000FFC00007F8000001FF80000
10719 7F8000007FE00001FFC00003FFC000FFFFFFFFFFFF0000FFFFFFFFFFFC0000FFFFFFFFFF
10720 C000003B447CC345>I<0000000FFE000060000000FFFFC000E0000003FFFFF000E00000
10721 0FFC01FC01E000003FC0003E01E00000FF00000F83E00003FC000003C7E00007F8000001
10722 E7E0000FF0000000FFE0001FE00000007FE0003FC00000003FE0007F800000001FE000FF
10723 000000000FE001FE000000000FE001FC0000000007E003FC0000000007E007F800000000
10724 03E007F80000000003E00FF00000000001E00FF00000000001E01FE00000000000E01FE0
10725 0000000000E03FE00000000000E03FE00000000000E03FC00000000000607FC000000000
10726 00607FC00000000000607FC00000000000607FC0000000000000FF80000000000000FF80
10727 000000000000FF80000000000000FF80000000000000FF80000000000000FF8000000000
10728 0000FF80000000000000FF80000000000000FF80000000000000FF80000000000000FF80
10729 000000000000FF80000000000000FF80000000000000FF800000000000007FC000000000
10730 00007FC00000000000007FC00000000000607FC00000000000603FC00000000000603FE0
10731 0000000000603FE00000000000601FE00000000000E01FF00000000000E00FF000000000
10732 00C00FF00000000000C007F80000000001C007F800000000018003FC00000000038001FC
10733 00000000038001FE00000000070000FF000000000600007F800000000E00003FC0000000
10734 1C00001FE00000003800000FF000000078000007F8000000F0000003FC000001E0000000
10735 FF000007800000003FC0001F000000000FFC00FC0000000003FFFFF00000000000FFFFC0
10736 00000000000FFE0000003B487BC546>I<FFFFFFFFFF00000000FFFFFFFFFFF0000000FF
10737 FFFFFFFFFC00000001FFC00007FF00000000FF8000007FC00000007F8000001FE0000000
10738 7F80000007F00000007F80000003FC0000007F80000001FE0000007F80000000FF000000
10739 7F800000007F0000007F800000003F8000007F800000001FC000007F800000000FE00000
10740 7F800000000FE000007F8000000007F000007F8000000007F800007F8000000003F80000
10741 7F8000000003FC00007F8000000003FC00007F8000000001FC00007F8000000001FE0000
10742 7F8000000001FE00007F8000000001FE00007F8000000001FF00007F8000000000FF0000
10743 7F8000000000FF00007F8000000000FF00007F8000000000FF80007F8000000000FF8000
10744 7F8000000000FF80007F8000000000FF80007F8000000000FF80007F8000000000FF8000
10745 7F8000000000FF80007F8000000000FF80007F8000000000FF80007F8000000000FF8000
10746 7F8000000000FF80007F8000000000FF80007F8000000000FF80007F8000000000FF0000
10747 7F8000000000FF00007F8000000000FF00007F8000000001FF00007F8000000001FE0000
10748 7F8000000001FE00007F8000000001FE00007F8000000001FC00007F8000000003FC0000
10749 7F8000000003F800007F8000000007F800007F8000000007F000007F800000000FF00000
10750 7F800000000FE000007F800000001FC000007F800000003FC000007F800000003F800000
10751 7F800000007F0000007F80000000FE0000007F80000003FC0000007F80000007F8000000
10752 7F8000001FE0000000FF8000007FC0000001FFC00007FF000000FFFFFFFFFFFC000000FF
10753 FFFFFFFFF0000000FFFFFFFFFF0000000041447CC34B>I<FFFFFFFFFFFFF800FFFFFFFF
10754 FFFFF800FFFFFFFFFFFFF80001FFC000007FF800007F80000007FC00007F80000001FC00
10755 007F80000000FC00007F800000007C00007F800000003C00007F800000001C00007F8000
10756 00001C00007F800000000E00007F800000000E00007F800000000E00007F800000000600
10757 007F800000000600007F800000000600007F800000000600007F800000000700007F8000
10758 06000300007F800006000300007F800006000300007F800006000000007F800006000000
10759 007F800006000000007F800006000000007F80000E000000007F80000E000000007F8000
10760 1E000000007F80003E000000007F8000FE000000007FFFFFFE000000007FFFFFFE000000
10761 007FFFFFFE000000007F8000FE000000007F80003E000000007F80001E000000007F8000
10762 0E000000007F80000E000000007F800006000000007F800006000000007F800006000000
10763 007F8000060000C0007F8000060000C0007F8000060000C0007F800006000180007F8000
10764 00000180007F800000000180007F800000000180007F800000000180007F800000000380
10765 007F800000000380007F800000000300007F800000000300007F800000000700007F8000
10766 00000700007F800000000F00007F800000000F00007F800000001E00007F800000001E00
10767 007F800000003E00007F800000007E00007F80000001FE00007F80000007FE0001FFC000
10768 007FFE00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC00FFFFFFFFFFFFFC003A447CC342>I<FF
10769 FFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF001FFC000007FF0007F8000000FF8007F
10770 80000003F8007F80000001F8007F80000000F8007F8000000078007F8000000038007F80
10771 00000038007F800000001C007F800000001C007F800000001C007F800000000C007F8000
10772 00000C007F800000000C007F800000000C007F800000000E007F8000000006007F80000C
10773 0006007F80000C0006007F80000C0000007F80000C0000007F80000C0000007F80000C00
10774 00007F80000C0000007F80001C0000007F80001C0000007F80003C0000007F80007C0000
10775 007F8001FC0000007FFFFFFC0000007FFFFFFC0000007FFFFFFC0000007F8001FC000000
10776 7F80007C0000007F80003C0000007F80001C0000007F80001C0000007F80000C0000007F
10777 80000C0000007F80000C0000007F80000C0000007F80000C0000007F80000C0000007F80
10778 000C0000007F8000000000007F8000000000007F8000000000007F8000000000007F8000
10779 000000007F8000000000007F8000000000007F8000000000007F8000000000007F800000
10780 0000007F8000000000007F8000000000007F8000000000007F8000000000007F80000000
10781 00007F8000000000007FC00000000001FFE000000000FFFFFFF8000000FFFFFFF8000000
10782 FFFFFFF800000037447CC340>I<0000000FFE00006000000000FFFFC000E000000003FF
10783 FFF000E00000000FFC01FC01E00000003FC0003E01E0000000FF00000F83E0000003FC00
10784 0003C7E0000007F8000001E7E000000FF0000000FFE000001FE00000007FE000003FC000
10785 00003FE000007F800000001FE00000FF000000000FE00001FE000000000FE00001FC0000
10786 000007E00003FC0000000007E00007F80000000003E00007F80000000003E0000FF00000
10787 000001E0000FF00000000001E0001FE00000000000E0001FE00000000000E0003FE00000
10788 000000E0003FE00000000000E0003FC0000000000060007FC0000000000060007FC00000
10789 00000060007FC0000000000060007FC000000000000000FF8000000000000000FF800000
10790 0000000000FF8000000000000000FF8000000000000000FF8000000000000000FF800000
10791 0000000000FF8000000000000000FF8000000000000000FF8000000000000000FF800000
10792 0000000000FF8000000000000000FF8000000000000000FF8000000000000000FF800000
10793 01FFFFFFC07FC0000001FFFFFFC07FC0000001FFFFFFC07FC0000000007FF0007FC00000
10794 00003FE0003FC0000000001FE0003FE0000000001FE0003FE0000000001FE0001FE00000
10795 00001FE0001FF0000000001FE0000FF0000000001FE0000FF0000000001FE00007F80000
10796 00001FE00007F8000000001FE00003FC000000001FE00001FE000000001FE00001FE0000
10797 00001FE00000FF000000001FE000007F800000001FE000003FC00000003FE000001FE000
10798 00003FE000000FF00000007FE0000007F8000000E7E0000003FE000001C7E0000000FF00
10799 000383E00000003FE0000F01E00000000FFC00FE00E000000003FFFFF8006000000000FF
10800 FFE00000000000000FFE0000000042487BC54D>I<FFFFFFC003FFFFFFFFFFFFC003FFFF
10801 FFFFFFFFC003FFFFFF01FFE0000007FF80007F80000001FE00007F80000001FE00007F80
10802 000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10803 00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80
10804 000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10805 00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80
10806 000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10807 00007F80000001FE00007F80000001FE00007FFFFFFFFFFE00007FFFFFFFFFFE00007FFF
10808 FFFFFFFE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10809 00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80
10810 000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10811 00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80
10812 000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE
10813 00007F80000001FE00007F80000001FE00007F80000001FE00007F80000001FE00007F80
10814 000001FE00007F80000001FE00007F80000001FE00007F80000001FE0001FFE0000007FF
10815 80FFFFFFC003FFFFFFFFFFFFC003FFFFFFFFFFFFC003FFFFFF40447CC349>I<FFFFFFF0
10816 FFFFFFF0FFFFFFF000FFF000007FE000003FC000003FC000003FC000003FC000003FC000
10817 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000
10818 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000
10819 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000
10820 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000
10821 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000
10822 003FC000003FC000003FC000003FC000003FC000003FC000003FC000003FC000007FE000
10823 00FFF000FFFFFFF0FFFFFFF0FFFFFFF01C447DC323>I<000FFFFFFE000FFFFFFE000FFF
10824 FFFE000003FF80000001FF00000000FF00000000FF00000000FF00000000FF00000000FF
10825 00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00
10826 000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF0000
10827 0000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF000000
10828 00FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000
10829 FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF
10830 00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF003F0000FF00
10831 7F8000FF00FFC000FF00FFC000FF00FFC000FF00FFC000FF00FFC001FE00FF8001FE00FF
10832 0001FE006C0003FC00700003F800380007F8001C0007F0000E000FE00007001F800003E0
10833 7F000000FFFC0000001FE0000027467BC332>I<FFFFFFC00001FFFFC0FFFFFFC00001FF
10834 FFC0FFFFFFC00001FFFFC001FFE00000007FFC0000FFC00000003FE000007F800000003F
10835 8000007F800000003E0000007F800000003C0000007F80000000380000007F8000000070
10836 0000007F80000000E00000007F80000001C00000007F80000003800000007F8000000700
10837 0000007F8000001E000000007F80000038000000007F80000070000000007F800000E000
10838 0000007F800001C0000000007F80000380000000007F80000700000000007F80000E0000
10839 0000007F80001C00000000007F80003800000000007F80007000000000007F8000E00000
10840 0000007F8001C000000000007F8003E000000000007F8007F000000000007F800FF00000
10841 0000007F801FF800000000007F803FFC00000000007F8077FC00000000007F80E3FE0000
10842 0000007F81C1FF00000000007F8381FF00000000007F8700FF80000000007F8E007FC000
10843 0000007F9C007FC0000000007FB8003FE0000000007FF0001FF0000000007FC0001FF000
10844 0000007F80000FF8000000007F800007FC000000007F800007FC000000007F800003FE00
10845 0000007F800001FF000000007F800001FF000000007F800000FF800000007F8000007FC0
10846 0000007F8000007FC00000007F8000003FE00000007F8000001FF00000007F8000001FF0
10847 0000007F8000000FF80000007F80000007FC0000007F80000007FC0000007F80000003FE
10848 0000007F80000001FF0000007F80000001FF0000007F80000000FF8000007F80000000FF
10849 C000007F80000000FFE00000FFC0000000FFF00001FFE0000001FFFC00FFFFFFC0001FFF
10850 FFE0FFFFFFC0001FFFFFE0FFFFFFC0001FFFFFE043447CC34C>I<FFFFFFF8000000FFFF
10851 FFF8000000FFFFFFF800000001FFE000000000007FC000000000007F8000000000007F80
10852 00000000007F8000000000007F8000000000007F8000000000007F8000000000007F8000
10853 000000007F8000000000007F8000000000007F8000000000007F8000000000007F800000
10854 0000007F8000000000007F8000000000007F8000000000007F8000000000007F80000000
10855 00007F8000000000007F8000000000007F8000000000007F8000000000007F8000000000
10856 007F8000000000007F8000000000007F8000000000007F8000000000007F800000000000
10857 7F8000000000007F8000000000007F8000000000007F8000000000007F8000000000007F
10858 8000000000007F8000000000007F8000000000007F8000000000007F8000000000007F80
10859 00000030007F8000000030007F8000000030007F8000000030007F8000000070007F8000
10860 000060007F8000000060007F8000000060007F8000000060007F8000000060007F800000
10861 00E0007F80000000E0007F80000000E0007F80000001C0007F80000001C0007F80000003
10862 C0007F80000007C0007F80000007C0007F8000000FC0007F8000003FC0007F8000007FC0
10863 007F800001FFC001FFC0001FFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF8034
10864 447CC33D>I<FFFF800000000007FFFCFFFFC0000000000FFFFCFFFFC0000000000FFFFC
10865 01FFC0000000000FFE00006FE0000000001BF800006FE0000000001BF800006FE0000000
10866 001BF8000067F00000000033F8000067F00000000033F8000063F80000000063F8000063
10867 F80000000063F8000063F80000000063F8000061FC00000000C3F8000061FC00000000C3
10868 F8000061FC00000000C3F8000060FE0000000183F8000060FE0000000183F80000607F00
10869 00000303F80000607F0000000303F80000607F0000000303F80000603F8000000603F800
10870 00603F8000000603F80000603F8000000603F80000601FC000000C03F80000601FC00000
10871 0C03F80000600FE000001803F80000600FE000001803F80000600FE000001803F8000060
10872 07F000003003F800006007F000003003F800006007F000003003F800006003F800006003
10873 F800006003F800006003F800006001FC0000C003F800006001FC0000C003F800006001FC
10874 0000C003F800006000FE00018003F800006000FE00018003F800006000FE00018003F800
10875 0060007F00030003F8000060007F00030003F8000060003F80060003F8000060003F8006
10876 0003F8000060003F80060003F8000060001FC00C0003F8000060001FC00C0003F8000060
10877 001FC00C0003F8000060000FE0180003F8000060000FE0180003F80000600007F0300003
10878 F80000600007F0300003F80000600007F0300003F80000600003F8600003F80000600003
10879 F8600003F80000600003F8600003F80000600001FCC00003F80000600001FCC00003F800
10880 00600000FF800003F80000600000FF800003F80000600000FF800003F800006000007F00
10881 0003F80000F000007F000003F80000F000007F000003F80001F800003E000003F8000FFF
10882 00003E00000FFE00FFFFF0001C0007FFFFFCFFFFF0001C0007FFFFFCFFFFF0001C0007FF
10883 FFFC4E447BC359>I<FFFF8000000FFFFFFFFFC000000FFFFFFFFFE000000FFFFF00FFE0
10884 000000FFF0007FF00000001F80006FF80000000F00006FF80000000F000067FC00000006
10885 000063FE00000006000063FE00000006000061FF00000006000060FF80000006000060FF
10886 800000060000607FC00000060000603FE00000060000603FE00000060000601FF0000006
10887 0000600FF80000060000600FF800000600006007FC00000600006003FE00000600006003
10888 FE00000600006001FF00000600006000FF80000600006000FF800006000060007FC00006
10889 000060003FE00006000060003FE00006000060001FF00006000060000FF8000600006000
10890 0FF800060000600007FC00060000600003FE00060000600003FE00060000600001FF0006
10891 0000600000FF80060000600000FF800600006000007FC00600006000003FE00600006000
10892 003FE00600006000001FF00600006000000FF80600006000000FF806000060000007FC06
10893 000060000003FE06000060000003FE06000060000001FF06000060000000FF8600006000
10894 0000FF860000600000007FC60000600000003FE60000600000003FE60000600000001FF6
10895 0000600000000FFE0000600000000FFE00006000000007FE00006000000003FE00006000
10896 000003FE00006000000001FE00006000000000FE00006000000000FE0000F0000000007E
10897 0000F0000000003E0001F8000000003E000FFF000000001E00FFFFF00000000E00FFFFF0
10898 0000000E00FFFFF0000000060040447CC349>I<0000001FFC00000000000001FFFFC000
10899 0000000007F007F000000000001F8000FC00000000007E00003F0000000001F800000FC0
10900 00000003F0000007E000000007E0000003F00000000FC0000001F80000001F80000000FC
10901 0000003F000000007E0000007E000000003F000000FE000000003F800001FC000000001F
10902 C00003F8000000000FE00003F8000000000FE00007F00000000007F00007F00000000007
10903 F0000FF00000000007F8000FE00000000003F8001FE00000000003FC001FE00000000003
10904 FC003FC00000000001FE003FC00000000001FE003FC00000000001FE007FC00000000001
10905 FF007FC00000000001FF007F800000000000FF007F800000000000FF007F800000000000
10906 FF00FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000
10907 FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000
10908 FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF800000000000
10909 FF80FF800000000000FF807FC00000000001FF007FC00000000001FF007FC00000000001
10910 FF007FC00000000001FF003FC00000000001FE003FE00000000003FE003FE00000000003
10911 FE001FE00000000003FC001FE00000000003FC000FF00000000007F8000FF00000000007
10912 F80007F8000000000FF00007F8000000000FF00003F8000000000FE00003FC000000001F
10913 E00001FE000000003FC00000FE000000003F8000007F000000007F0000007F80000000FF
10914 0000003F80000000FE0000001FC0000001FC00000007E0000003F000000003F0000007E0
10915 00000001FC00001FC0000000007E00003F00000000001F8000FC000000000007F007F000
10916 0000000001FFFFC00000000000001FFC0000000041487BC54C>I<FFFFFFFFFC0000FFFF
10917 FFFFFFC000FFFFFFFFFFF80001FFC0000FFC00007F800001FF00007F8000007F80007F80
10918 00001FE0007F8000000FE0007F80000007F0007F80000007F8007F80000003FC007F8000
10919 0003FC007F80000003FE007F80000001FE007F80000001FE007F80000001FF007F800000
10920 01FF007F80000001FF007F80000001FF007F80000001FF007F80000001FF007F80000001
10921 FF007F80000001FE007F80000001FE007F80000003FE007F80000003FC007F80000003FC
10922 007F80000007F8007F80000007F0007F8000000FE0007F8000001FC0007F8000007F8000
10923 7F800001FE00007F80000FFC00007FFFFFFFF000007FFFFFFF8000007F8000000000007F
10924 8000000000007F8000000000007F8000000000007F8000000000007F8000000000007F80
10925 00000000007F8000000000007F8000000000007F8000000000007F8000000000007F8000
10926 000000007F8000000000007F8000000000007F8000000000007F8000000000007F800000
10927 0000007F8000000000007F8000000000007F8000000000007F8000000000007F80000000
10928 00007F8000000000007F8000000000007F8000000000007F8000000000007F8000000000
10929 007F800000000001FFE000000000FFFFFFC0000000FFFFFFC0000000FFFFFFC000000038
10930 447CC342>I<0000001FFC00000000000001FFFFC0000000000007F007F000000000001F
10931 8000FC00000000007E00003F0000000001FC00001FC000000003F0000007E000000007E0
10932 000003F00000000FC0000001F80000001F80000000FC0000003F000000007E0000007F00
10933 0000007F000000FE000000003F800001FC000000001FC00003FC000000001FE00003F800
10934 0000000FE00007F8000000000FF00007F00000000007F0000FF00000000007F8000FF000
10935 00000007F8001FE00000000003FC001FE00000000003FC003FE00000000003FE003FC000
10936 00000001FE003FC00000000001FE007FC00000000001FF007FC00000000001FF007FC000
10937 00000001FF007F800000000000FF007F800000000000FF00FF800000000000FF80FF8000
10938 00000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF8000
10939 00000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF80FF8000
10940 00000000FF80FF800000000000FF80FF800000000000FF80FF800000000000FF807F8000
10941 00000000FF007FC00000000001FF007FC00000000001FF007FC00000000001FF003FC000
10942 00000001FE003FC00000000001FE003FE00000000003FE001FE00000000003FC001FE000
10943 00000003FC000FE00000000003F8000FF00000000007F80007F00000000007F00007F800
10944 03F0000FF00003F8000FFC000FE00003FC001C0E001FE00001FC003807001FC00000FE00
10945 3003803F8000007F007001807F0000007F006000C07F0000003F806000C0FE0000001FC0
10946 6000E1FC00000007E0600063F000000003F0600077E000000001FC70007FC0000000007E
10947 30007F00000000001FB800FC000000000007FC07F80000C0000001FFFFFC0000C0000000
10948 1FFC3C0000C000000000003C0000C000000000003E0001C000000000001E0001C0000000
10949 00001F0003C000000000001F00038000000000001F80078000000000001FC00F80000000
10950 00000FF03F8000000000000FFFFF0000000000000FFFFF00000000000007FFFF00000000
10951 000007FFFE00000000000003FFFC00000000000003FFFC00000000000001FFF800000000
10952 0000007FE0000000000000001F800042597BC54C>I<FFFFFFFFE000000000FFFFFFFFFF
10953 00000000FFFFFFFFFFC000000001FFC0003FF8000000007F800003FC000000007F800000
10954 FF000000007F8000007F800000007F8000003FC00000007F8000001FE00000007F800000
10955 0FF00000007F80000007F80000007F80000007F80000007F80000007FC0000007F800000
10956 03FC0000007F80000003FE0000007F80000003FE0000007F80000003FE0000007F800000
10957 03FE0000007F80000003FE0000007F80000003FE0000007F80000003FE0000007F800000
10958 03FC0000007F80000003FC0000007F80000007FC0000007F80000007F80000007F800000
10959 0FF00000007F8000000FF00000007F8000001FE00000007F8000003FC00000007F800000
10960 7F000000007F800001FE000000007F800007F8000000007F80003FE0000000007FFFFFFF
10961 00000000007FFFFFFC00000000007F80007F80000000007F80000FE0000000007F800007
10962 F0000000007F800003FC000000007F800001FE000000007F800000FE000000007F800000
10963 FF000000007F8000007F800000007F8000007F800000007F8000003FC00000007F800000
10964 3FC00000007F8000003FC00000007F8000003FC00000007F8000003FC00000007F800000
10965 3FC00000007F8000003FC00000007F8000003FE00000007F8000003FE00000007F800000
10966 3FE00000007F8000003FE00000007F8000003FE00000007F8000003FE00000007F800000
10967 3FE00000007F8000003FE00060007F8000003FF00060007F8000001FF00060007F800000
10968 1FF00060007F8000001FF000E0007F8000000FF800C001FFE0000007F801C0FFFFFFC000
10969 07F80180FFFFFFC00001FC0380FFFFFFC00000FE07000000000000003FFE000000000000
10970 0007F80043467CC348>I<0001FF000300000FFFE00700003FFFF8070000FE00FE0F0001
10971 F8001F0F0007E000079F0007C00003DF000F800001FF001F000000FF003F0000007F003E
10972 0000003F007E0000003F007E0000001F007C0000001F00FC0000000F00FC0000000F00FC
10973 0000000700FC0000000700FC0000000700FE0000000700FE0000000300FE0000000300FF
10974 0000000300FF00000003007F80000000007FC0000000007FE0000000003FF8000000003F
10975 FE000000001FFFE00000000FFFFE00000007FFFFE0000003FFFFFC000001FFFFFF000000
10976 FFFFFFC000003FFFFFF000000FFFFFF8000001FFFFFC0000001FFFFE00000001FFFE0000
10977 00001FFF0000000003FF8000000001FF8000000000FFC0000000007FC0000000003FC000
10978 0000001FC0000000001FE0C00000000FE0C00000000FE0C00000000FE0C000000007E0C0
10979 00000007E0C000000007E0E000000007E0E000000007E0E000000007E0F000000007C0F0
10980 0000000FC0F80000000FC0F80000000F80FC0000001F80FE0000001F00FF0000003F00FF
10981 8000007E00FBC00000FC00F9F00001F800F07C0003F000F03FC00FE000E00FFFFF8000E0
10982 01FFFE0000C0003FF000002B487BC536>I<3FFFFFFFFFFFFFF83FFFFFFFFFFFFFF83FFF
10983 FFFFFFFFFFF83FF0001FF8001FF83F80000FF00003F83E00000FF00000F87C00000FF000
10984 007C7800000FF000003C7800000FF000003C7000000FF000001C7000000FF000001C7000
10985 000FF000001C6000000FF000000C6000000FF000000C6000000FF000000C6000000FF000
10986 000C6000000FF000000CC000000FF0000006C000000FF0000006C000000FF0000006C000
10987 000FF0000006C000000FF00000060000000FF00000000000000FF00000000000000FF000
10988 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000
10989 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000
10990 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000
10991 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000
10992 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000
10993 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000
10994 00000000000FF00000000000000FF00000000000000FF00000000000000FF00000000000
10995 000FF00000000000000FF00000000000000FF00000000000000FF00000000000000FF000
10996 00000000000FF00000000000000FF00000000000001FF80000000000007FFE0000000001
10997 FFFFFFFF80000001FFFFFFFF80000001FFFFFFFF80003F447DC346>I<FFFFFFC0000FFF
10998 FFFFFFFFC0000FFFFFFFFFFFC0000FFFFF01FFE0000000FFF0007F800000001F80007F80
10999 0000000F00007F800000000F00007F800000000600007F800000000600007F8000000006
11000 00007F800000000600007F800000000600007F800000000600007F800000000600007F80
11001 0000000600007F800000000600007F800000000600007F800000000600007F8000000006
11002 00007F800000000600007F800000000600007F800000000600007F800000000600007F80
11003 0000000600007F800000000600007F800000000600007F800000000600007F8000000006
11004 00007F800000000600007F800000000600007F800000000600007F800000000600007F80
11005 0000000600007F800000000600007F800000000600007F800000000600007F8000000006
11006 00007F800000000600007F800000000600007F800000000600007F800000000600007F80
11007 0000000600007F800000000600007F800000000600007F800000000600007F8000000006
11008 00007F800000000600007F800000000600007F800000000600007F800000000600007F80
11009 0000000E00003FC00000000C00003FC00000000C00003FC00000001C00001FC00000001C
11010 00001FE00000001800000FE00000003800000FE000000030000007F000000070000007F0
11011 000000E0000003F8000001E0000001FC000001C0000000FE000007800000007F00000F00
11012 0000003F80001E000000001FE0007C0000000007FC03F00000000001FFFFE00000000000
11013 7FFF80000000000007FC00000040467CC349>I<FFFFFF0000003FFFF0FFFFFF0000003F
11014 FFF0FFFFFF0000003FFFF003FFE000000007FF0000FFC000000001FC0000FF8000000001
11015 F800007F8000000000F000007FC000000000E000003FC000000000E000003FC000000000
11016 C000003FE000000001C000001FE0000000018000001FE0000000018000000FF000000003
11017 0000000FF0000000030000000FF80000000300000007F80000000600000007F800000006
11018 00000007FC0000000E00000003FC0000000C00000003FC0000000C00000001FE00000018
11019 00000001FE0000001800000001FF0000001800000000FF0000003000000000FF00000030
11020 00000000FF80000070000000007F80000060000000007FC0000060000000003FC00000C0
11021 000000003FC00000C0000000003FE00000C0000000001FE0000180000000001FE0000180
11022 000000001FF0000380000000000FF0000300000000000FF80003000000000007F8000600
11023 0000000007F80006000000000007FC000E000000000003FC000C000000000003FC000C00
11024 0000000001FE0018000000000001FE0018000000000001FF0018000000000000FF003000
11025 0000000000FF0030000000000000FF80700000000000007F80600000000000007F806000
11026 00000000003FC0C00000000000003FC0C00000000000003FE0C00000000000001FE18000
11027 00000000001FE1800000000000001FF3800000000000000FF3000000000000000FFB0000
11028 000000000007FE0000000000000007FE0000000000000007FE0000000000000003FC0000
11029 000000000003FC0000000000000003FC0000000000000001F80000000000000001F80000
11030 000000000000F00000000000000000F00000000000000000F00000000000000000600000
11031 000044467EC349>I<FFFFFF0007FFFFF8000FFFFEFFFFFF0007FFFFF8000FFFFEFFFFFF
11032 0007FFFFF8000FFFFE03FFE000001FFF000000FFF001FF8000000FFC0000003FC001FF00
11033 000007F80000001F0000FF00000007F80000000F0000FF00000007F80000000E00007F80
11034 000003FC0000000E00007F80000003FC0000000C00007F80000003FC0000000C00003FC0
11035 000003FE0000001800003FC0000003FE0000001800003FC0000003FE0000001800003FE0
11036 000006FF0000003800001FE0000006FF0000003000001FE0000006FF0000003000001FF0
11037 00000EFF8000007000000FF000000C7F8000006000000FF000000C7F8000006000000FF8
11038 00001C7FC0000060000007F80000183FC00000C0000007F80000183FC00000C0000007F8
11039 0000183FE00000C0000003FC0000301FE0000180000003FC0000301FE0000180000003FC
11040 0000301FE0000180000001FE0000600FF0000300000001FE0000600FF0000300000001FE
11041 0000600FF0000300000000FF0000C007F8000600000000FF0000C007F8000600000000FF
11042 0000C007F8000600000000FF8001C007FC000E000000007F80018003FC000C000000007F
11043 80018003FC000C000000007FC0038003FE000C000000003FC0030001FE0018000000003F
11044 C0030001FE0018000000003FE0030001FF0018000000001FE0060000FF0030000000001F
11045 E0060000FF0030000000001FE0060000FF0030000000000FF00C00007F8060000000000F
11046 F00C00007F8060000000000FF00C00007F80600000000007F81800003FC0C00000000007
11047 F81800003FC0C00000000007F81800003FC0C00000000007FC3000001FE1C00000000003
11048 FC3000001FE1800000000003FC3000001FE1800000000003FE7000001FF3800000000001
11049 FE6000000FF3000000000001FE6000000FF3000000000001FFE000000FFB000000000000
11050 FFC0000007FE000000000000FFC0000007FE000000000000FFC0000007FE000000000000
11051 7F80000003FC0000000000007F80000003FC0000000000007F80000003FC000000000000
11052 3F00000001F80000000000003F00000001F80000000000003F00000001F8000000000000
11053 1E00000000F00000000000001E00000000F00000000000001E00000000F0000000000000
11054 1E00000000F00000000000000C00000000600000005F467EC364>I<3FFFFFE0001FFFFF
11055 003FFFFFE0001FFFFF003FFFFFE0001FFFFF0000FFFF000007FFE000003FFC000001FF00
11056 00001FF8000001FC0000000FF8000000F800000007FC000000E000000007FC000000E000
11057 000003FE000001C000000001FF0000018000000001FF0000030000000000FF8000070000
11058 0000007FC0000600000000007FC0000C00000000003FE0001C00000000001FF000180000
11059 0000001FF0003000000000000FF80070000000000007FC0060000000000007FC00C00000
11060 00000003FE01C0000000000001FF0180000000000001FF0300000000000000FF87000000
11061 000000007FC6000000000000007FCC000000000000003FFC000000000000001FF8000000
11062 000000001FF0000000000000000FF80000000000000007FC0000000000000007FC000000
11063 0000000003FE0000000000000003FF0000000000000003FF0000000000000006FF800000
11064 000000000EFF800000000000000C7FC0000000000000183FE0000000000000383FE00000
11065 00000000301FF0000000000000600FF8000000000000E00FF8000000000000C007FC0000
11066 000000018003FE0000000000038003FE0000000000030001FF0000000000060000FF8000
11067 0000000E0000FF80000000000C00007FC0000000001800003FE0000000003800003FE000
11068 0000003000001FF0000000006000000FF800000000E000000FF800000000C0000007FC00
11069 00000180000003FE0000000380000003FE0000000700000001FF0000000F00000000FF80
11070 00001F00000000FF8000003F80000000FFC00000FF80000000FFE00007FFE0000003FFF8
11071 00FFFFF800001FFFFFF0FFFFF800001FFFFFF0FFFFF800001FFFFFF044447EC349>I<FF
11072 FFFF8000000FFFFCFFFFFF8000000FFFFCFFFFFF8000000FFFFC01FFF800000003FFC000
11073 7FE000000000FE00007FE000000000FC00003FE000000000F000001FF000000000E00000
11074 1FF800000000E000000FF800000000C0000007FC0000000180000007FC00000003800000
11075 03FE0000000300000003FF0000000600000001FF0000000E00000000FF8000000C000000
11076 00FF8000001C000000007FC0000018000000003FE0000030000000003FE0000070000000
11077 001FF0000060000000001FF00000E0000000000FF80000C00000000007FC000180000000
11078 0007FC0003800000000003FE0003000000000003FE0007000000000001FF000600000000
11079 0000FF800C000000000000FF801C0000000000007FC0180000000000007FC03000000000
11080 00003FE0300000000000001FF0600000000000001FF0E00000000000000FF8C000000000
11081 00000FF98000000000000007FF8000000000000003FF0000000000000003FF0000000000
11082 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11083 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11084 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11085 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11086 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11087 000001FE0000000000000001FE0000000000000001FE0000000000000001FE0000000000
11088 000007FF80000000000003FFFFFF000000000003FFFFFF000000000003FFFFFF00000046
11089 447FC349>I<1FFFFFFFFFFF801FFFFFFFFFFF801FFFFFFFFFFF801FFF800001FF001FFC
11090 000001FF001FF0000003FE001FC0000007FC001F80000007FC001F0000000FF8001E0000
11091 000FF8001E0000001FF0003C0000003FE0003C0000003FE000380000007FC00038000000
11092 FF800038000000FF800038000001FF000030000003FE000030000003FE000030000007FC
11093 000030000007FC00003000000FF800000000001FF000000000001FF000000000003FE000
11094 000000007FC000000000007FC00000000000FF800000000001FF800000000001FF000000
11095 000003FE000000000003FE000000000007FC00000000000FF800000000000FF800000000
11096 001FF000000000003FE000000000003FE000000000007FC00000000000FFC00000000000
11097 FF800000000001FF000000000001FF000001800003FE000001800007FC000001800007FC
11098 00000180000FF800000180001FF000000380001FF000000300003FE000000300003FE000
11099 000300007FC00000030000FF800000030000FF800000070001FF000000070003FE000000
11100 070003FE0000000F0007FC0000000F000FF80000001F000FF80000003F001FF00000007F
11101 001FF0000000FE003FE0000003FE007FC000000FFE007FC00000FFFE00FFFFFFFFFFFE00
11102 FFFFFFFFFFFE00FFFFFFFFFFFE0031447BC33C>I<FFFCFFFCFFFCFFFCF000F000F000F0
11103 00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F0
11104 00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F0
11105 00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F0
11106 00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F0
11107 00F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000FFFCFF
11108 FCFFFCFFFC0E6476CA1B>I<00C0001801C0003803800070070000E00E0001C00C000180
11109 1C00038018000300380007003000060070000E0060000C0060000C0060000C00E0001C00
11110 C0001800C0001800C0001800C0001800CF0019E0FFC01FF8FFE01FFCFFE01FFCFFE01FFC
11111 7FE00FFC7FE00FFC3FE007FC3FC007F80F0001E01E1D71C431>I<FFFCFFFCFFFCFFFC00
11112 3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C00
11113 3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C00
11114 3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C00
11115 3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C00
11116 3C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C003C00
11117 3C003CFFFCFFFCFFFCFFFC0E647ECA1B>I<000C0000001E0000003F0000007F800000F3
11118 C00001E1E00003C0F000078078000F003C001E001E003C000F0070000380E00001C04000
11119 00801A0E75C331>I<00C001C0038007000E000C001C0018003800300070006000600060
11120 00E000C000C000C000C000CF00FFC0FFE0FFE0FFE07FE07FE03FE03FC00F000B1D79C41B
11121 >96 D<0007FC000000003FFF80000000F80FE0000003C003F00000070001F800000E0000
11122 FC00000FC0007E00001FE0007F00001FF0003F80001FF0003F80001FF0003F80001FF000
11123 1FC0001FF0001FC0000FE0001FC0000380001FC0000000001FC0000000001FC000000000
11124 1FC0000000001FC00000000FFFC0000001FFFFC000000FFE1FC000003FC01FC00000FF00
11125 1FC00003FC001FC00007F8001FC0000FF0001FC0001FE0001FC0003FC0001FC0007FC000
11126 1FC0007F80001FC0007F80001FC060FF00001FC060FF00001FC060FF00001FC060FF0000
11127 3FC060FF00003FC060FF00003FC060FF80007FC0607F8000EFC0607FC000C7E0C03FC001
11128 C7E0C01FE00783F1C007F81E03FF8001FFFC01FF00001FE0007C002B2E7CAC31>I<01FC
11129 00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC0000000001FC
11130 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11131 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11132 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11133 0000000001FC03FC000001FC0FFF800001FC3C07E00001FC7001F80001FDE0007E0001FD
11134 80003F0001FF80001F8001FF00001FC001FE00000FE001FC000007E001FC000007F001FC
11135 000007F001FC000003F801FC000003F801FC000003FC01FC000003FC01FC000001FC01FC
11136 000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC
11137 000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FC01FC
11138 000003FC01FC000003FC01FC000003F801FC000003F801FC000007F001FC000007F001FE
11139 00000FE001FE00000FC001FF00001FC001FB00003F8001F380007E0001E1C000FC0001E0
11140 F001F80001C03C07E00001801FFF8000000003FC00002F467DC436>I<00007F80000003
11141 FFF000000FC07C00003F000F0000FC00038001F80001C003F8000FC007F0001FE007E000
11142 3FE00FE0003FE01FC0003FE01FC0003FE03F80003FE03F80001FC07F800007007F800000
11143 007F800000007F00000000FF00000000FF00000000FF00000000FF00000000FF00000000
11144 FF00000000FF00000000FF00000000FF00000000FF00000000FF000000007F000000007F
11145 800000007F800000003F800000003F800000303FC00000301FC00000700FE00000600FE0
11146 0000E007F00000C003F80001C001F800038000FC000700003F001E00001FC078000007FF
11147 F0000000FF8000242E7DAC2B>I<000000007F000000003FFF000000003FFF000000003F
11148 FF0000000001FF0000000000FF00000000007F00000000007F00000000007F0000000000
11149 7F00000000007F00000000007F00000000007F00000000007F00000000007F0000000000
11150 7F00000000007F00000000007F00000000007F00000000007F00000000007F0000000000
11151 7F00000000007F00000000007F00000000007F0000007F807F000003FFF07F00000FC07C
11152 7F00003F000E7F00007E00077F0000FC0003FF0003F80001FF0007F00000FF0007E00000
11153 FF000FE000007F001FC000007F001FC000007F003F8000007F003F8000007F007F800000
11154 7F007F8000007F007F0000007F00FF0000007F00FF0000007F00FF0000007F00FF000000
11155 7F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF000000
11156 7F00FF0000007F007F0000007F007F8000007F007F8000007F003F8000007F003F800000
11157 7F001FC000007F001FC000007F000FC00000FF000FE00000FF0007F00001FF0003F00003
11158 FF0001F800077F8000FC000E7FC0003F001C7FFE000FC0F87FFE0003FFE07FFE00007F00
11159 7F002F467DC436>I<0001FE00000007FFC000001F03F000007E00FC0000FC007E0001F8
11160 003F0003F0003F0007E0001F800FE0001FC00FC0000FC01FC0000FC03F80000FE03F8000
11161 07E03F800007E07F800007F07F000007F07F000007F0FF000007F0FF000007F0FF000007
11162 F0FFFFFFFFF0FFFFFFFFF0FF00000000FF00000000FF00000000FF00000000FF00000000
11163 FF000000007F000000007F000000007F800000007F800000003F800000003F800000301F
11164 C00000301FC00000700FC00000600FE00000E007F00000C003F00001C001F800038000FC
11165 000700003E001E00001F80F8000003FFE0000000FF0000242E7DAC2B>I<00000FE00000
11166 007FF8000001F81E000003F03F00000FE07F80001FC0FF80001F80FF80003F80FF80007F
11167 00FF80007F00FF80007F007F0000FE001C0000FE00000000FE00000000FE00000000FE00
11168 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
11169 0000FE00000000FE00000000FE00000000FE000000FFFFFF8000FFFFFF8000FFFFFF8000
11170 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000
11171 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE
11172 00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00
11173 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000
11174 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000
11175 01FF8000007FFFFF00007FFFFF00007FFFFF000021467EC51E>I<000000000F800001FC
11176 007FE0000FFF81F0F0003F07E381F000FC01FF03F001F800FE01F003F0007E01E007F000
11177 7F000007E0003F00000FE0003F80000FC0001F80001FC0001FC0001FC0001FC0001FC000
11178 1FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC000
11179 1FC0000FC0001F80000FE0003F800007E0003F000007F0007F000003F0007E000001F800
11180 FC000001FC01F8000003BF07E00000030FFF8000000701FC000000070000000000070000
11181 0000000F00000000000F00000000000F00000000000F800000000007C00000000007E000
11182 00000007FFFFF8000003FFFFFF000003FFFFFFE00001FFFFFFF800007FFFFFFC0001FFFF
11183 FFFE0007C0000FFF000F800000FF003F0000003F803E0000001F807C0000000FC07C0000
11184 000FC0F800000007C0F800000007C0F800000007C0F800000007C0F800000007C0FC0000
11185 000FC07C0000000F807E0000001F803E0000001F001F0000003E000F8000007C0007E000
11186 01F80001F80007E000007F003F8000001FFFFE00000001FFE000002C427DAC31>I<01FC
11187 00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC0000000001FC
11188 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11189 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11190 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11191 0000000001FC01FE000001FC07FFC00001FC1E07F00001FC3801F80001FC7001FC0001FC
11192 E000FC0001FDC000FE0001FD8000FE0001FF80007F0001FF00007F0001FF00007F0001FE
11193 00007F0001FE00007F0001FE00007F0001FC00007F0001FC00007F0001FC00007F0001FC
11194 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC
11195 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC
11196 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC
11197 00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0003FE0000FF80FFFF
11198 F83FFFFEFFFFF83FFFFEFFFFF83FFFFE2F457DC436>I<01E00007F80007F8000FFC000F
11199 FC000FFC000FFC0007F80007F80001E00000000000000000000000000000000000000000
11200 000000000000000000000000000000000000000001FC00FFFC00FFFC00FFFC0007FC0003
11201 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11202 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11203 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FF
11204 FFF8FFFFF8FFFFF815437DC21C>I<00003C000000FF000000FF000001FF800001FF8000
11205 01FF800001FF800000FF000000FF0000003C000000000000000000000000000000000000
11206 000000000000000000000000000000000000000000000000000000000000000000000000
11207 007F80003FFF80003FFF80003FFF800000FF8000007F8000003F8000003F8000003F8000
11208 003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000
11209 003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000
11210 003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000
11211 003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000003F8000
11212 003F8000003F8000003F8000003F8000003F8000003F8000003F803E003F807F003F80FF
11213 807F00FF807F00FF807E00FF807E00FF80FC007F00F8003C01F0001E03E00007FF800001
11214 FE0000195785C21E>I<01FC00000000FFFC00000000FFFC00000000FFFC0000000007FC
11215 0000000003FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11216 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11217 0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC
11218 0000000001FC0000000001FC0000000001FC0000000001FC001FFFE001FC001FFFE001FC
11219 001FFFE001FC000FFF0001FC0007F80001FC0007E00001FC0007C00001FC0007800001FC
11220 000E000001FC001C000001FC0038000001FC0070000001FC00E0000001FC01C0000001FC
11221 0380000001FC0700000001FC0F00000001FC3F80000001FC7FC0000001FCFFC0000001FD
11222 CFE0000001FF8FF0000001FF07F0000001FE03F8000001FC03FC000001FC01FC000001FC
11223 00FE000001FC00FF000001FC007F000001FC003F800001FC003FC00001FC001FC00001FC
11224 000FE00001FC000FF00001FC0007F00001FC0007F80001FC0003FC0001FC0003FE0001FC
11225 0003FF0003FE0007FF80FFFFF81FFFF8FFFFF81FFFF8FFFFF81FFFF82D457DC433>I<01
11226 FC00FFFC00FFFC00FFFC0007FC0003FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11227 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11228 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11229 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11230 FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001
11231 FC0001FC0001FC0001FC0001FC0003FE00FFFFF8FFFFF8FFFFF815457DC41C>I<01FC00
11232 FF00001FE00000FFFC07FFE000FFFC0000FFFC0F03F801E07F0000FFFC3C01FC07803F80
11233 0007FC7000FE0E001FC00003FCE0007E1C000FC00001FDC0007F38000FE00001FD80007F
11234 30000FE00001FF80003FF00007F00001FF00003FE00007F00001FF00003FE00007F00001
11235 FE00003FC00007F00001FE00003FC00007F00001FE00003FC00007F00001FC00003F8000
11236 07F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00
11237 003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F0
11238 0001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F
11239 800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001
11240 FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F8000
11241 07F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00
11242 003F800007F00001FC00003F800007F00001FC00003F800007F00001FC00003F800007F0
11243 0003FE00007FC0000FF800FFFFF81FFFFF03FFFFE0FFFFF81FFFFF03FFFFE0FFFFF81FFF
11244 FF03FFFFE04B2C7DAB52>I<01FC01FE0000FFFC07FFC000FFFC1E07F000FFFC3801F800
11245 07FC7001FC0003FCE000FC0001FDC000FE0001FD8000FE0001FF80007F0001FF00007F00
11246 01FF00007F0001FE00007F0001FE00007F0001FE00007F0001FC00007F0001FC00007F00
11247 01FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F00
11248 01FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F00
11249 01FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F00
11250 01FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F00
11251 03FE0000FF80FFFFF83FFFFEFFFFF83FFFFEFFFFF83FFFFE2F2C7DAB36>I<00007F8000
11252 000003FFF00000000FC0FC0000003E001F0000007C000F800000F80007C00001F00003E0
11253 0003E00001F00007C00000F8000FC00000FC000FC00000FC001F8000007E003F8000007F
11254 003F8000007F003F0000003F007F0000003F807F0000003F807F0000003F807F0000003F
11255 80FF0000003FC0FF0000003FC0FF0000003FC0FF0000003FC0FF0000003FC0FF0000003F
11256 C0FF0000003FC0FF0000003FC0FF0000003FC0FF0000003FC07F0000003F807F0000003F
11257 807F8000007F803F8000007F003F8000007F001F8000007E001FC00000FE000FC00000FC
11258 000FE00001FC0007E00001F80003F00003F00001F80007E00000FC000FC000003E001F00
11259 00001FC0FE00000007FFF8000000007F8000002A2E7DAC31>I<01FC03FC0000FFFC0FFF
11260 8000FFFC3C07E000FFFC7001F80007FDE000FE0001FD80007F0001FF80003F8001FF0000
11261 1FC001FE00001FE001FC00000FE001FC00000FF001FC000007F001FC000007F801FC0000
11262 03F801FC000003FC01FC000003FC01FC000003FC01FC000001FE01FC000001FE01FC0000
11263 01FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC000001FE01FC0000
11264 01FE01FC000001FE01FC000001FE01FC000003FC01FC000003FC01FC000003FC01FC0000
11265 07F801FC000007F801FC000007F001FC00000FF001FE00000FE001FE00001FC001FF0000
11266 3FC001FF00003F8001FF80007E0001FDC000FC0001FCF003F80001FC3C0FE00001FC1FFF
11267 800001FC03FC000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000
11268 000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000
11269 000001FC0000000001FC0000000001FC0000000003FE00000000FFFFF8000000FFFFF800
11270 0000FFFFF80000002F3F7DAB36>I<00007F8003000003FFE00700000FE0780700003F80
11271 1C0F00007E000E0F0000FC00071F0003F800039F0007F80001BF0007F00001FF000FE000
11272 00FF001FE00000FF001FC00000FF003FC000007F003FC000007F007F8000007F007F8000
11273 007F007F8000007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000
11274 007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000007F00FF0000
11275 007F007F8000007F007F8000007F007F8000007F003F8000007F003FC000007F001FC000
11276 007F001FE00000FF000FE00000FF000FF00001FF0007F00001FF0003F80003FF0001FC00
11277 077F0000FE000E7F00003F001C7F00000FC0F87F000003FFE07F0000007F007F00000000
11278 007F00000000007F00000000007F00000000007F00000000007F00000000007F00000000
11279 007F00000000007F00000000007F00000000007F00000000007F00000000007F00000000
11280 007F00000000007F0000000000FF800000003FFFFE0000003FFFFE0000003FFFFE2F3F7D
11281 AB33>I<03F803F0FFF81FFCFFF83C3EFFF8707F07F8E0FF03F9C0FF01F980FF01FB80FF
11282 01FB007E01FB003C01FF000001FE000001FE000001FE000001FE000001FC000001FC0000
11283 01FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0000
11284 01FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0000
11285 01FC000001FC000001FC000001FC000001FC000003FF0000FFFFFE00FFFFFE00FFFFFE00
11286 202C7DAB26>I<003FE01801FFFC3807E01F780F0003F81E0001F83C0000F87C00007878
11287 000078F8000038F8000038F8000018F8000018FC000018FC000018FE000018FF8000007F
11288 C000007FFC00003FFFE0001FFFFC000FFFFF0007FFFFC003FFFFE000FFFFF0001FFFF800
11289 00FFF800000FFC000003FCC00001FEC00000FEC000007EE000007EE000003EE000003EF0
11290 00003EF000003EF000003EF800003CFC00007CFC000078FE0000F8FF0001F0F38003E0F1
11291 F00F80E07FFE00C00FF0001F2E7DAC26>I<000600000006000000060000000600000006
11292 0000000E0000000E0000000E0000000E0000001E0000001E0000001E0000003E0000007E
11293 0000007E000000FE000001FE000007FE00001FFFFFF0FFFFFFF0FFFFFFF000FE000000FE
11294 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE
11295 000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE
11296 000000FE000000FE000000FE000C00FE000C00FE000C00FE000C00FE000C00FE000C00FE
11297 000C00FE000C00FE000C00FE000C007E001C007F0018007F0018003F0038001F8030001F
11298 C0700007E0E00001FFC000007F001E3E7EBC26>I<01FC00007F00FFFC003FFF00FFFC00
11299 3FFF00FFFC003FFF0007FC0001FF0003FC0000FF0001FC00007F0001FC00007F0001FC00
11300 007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00
11301 007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00
11302 007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00
11303 007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00007F0001FC00
11304 00FF0001FC0000FF0001FC0000FF0001FC0001FF0001FC0001FF0000FC0001FF0000FE00
11305 03FF00007E00077F80007F000E7FC0003F001C7FFE000FC0787FFE0003FFF07FFE00007F
11306 807F002F2D7DAB36>I<FFFFF001FFFCFFFFF001FFFCFFFFF001FFFC07FF00007FE003FE
11307 00001F8001FE00001F0001FE00000E0000FE00000E0000FE00000C00007F00001800007F
11308 00001800007F80001800003F80003000003F80003000003FC0007000001FC0006000001F
11309 E0006000000FE000C000000FE000C000000FF001C0000007F00180000007F00180000003
11310 F80300000003F80300000003FC0700000001FC0600000001FC0600000000FE0C00000000
11311 FE0C00000000FF0C000000007F18000000007F18000000007FB8000000003FB000000000
11312 3FF0000000001FE0000000001FE0000000001FE0000000000FC0000000000FC000000000
11313 078000000000078000000000078000000000030000002E2C7EAA33>I<FFFFE0FFFFE03F
11314 FF80FFFFE0FFFFE03FFF80FFFFE0FFFFE03FFF8007FF000FFE000FFC0003FC0003F80003
11315 F80003FC0003F80001E00001FC0003F80001E00001FC0001F80001C00001FE0001FC0001
11316 C00000FE0001FC0001800000FE0001FC0001800000FF0001FE00038000007F00037E0003
11317 0000007F00037E00030000007F80037F00070000003F80063F00060000003F80063F0006
11318 0000001FC0063F800C0000001FC00C1F800C0000001FC00C1F800C0000000FE00C1FC018
11319 0000000FE0180FC0180000000FE0180FC01800000007F0180FE03000000007F03007E030
11320 00000007F03007E03000000003F83007F06000000003F86003F06000000003F86003F060
11321 00000001FCE003F8C000000001FCC001F8C000000001FCC001FCC000000000FFC001FD80
11322 00000000FF8000FD8000000000FF8000FF80000000007F8000FF00000000007F00007F00
11323 000000007F00007F00000000003F00007E00000000003E00003E00000000003E00003E00
11324 000000001E00003C00000000001C00001C00000000001C00001C000000412C7EAA46>I<
11325 FFFFF007FFFCFFFFF007FFFCFFFFF007FFFC03FFC001FFC000FF8000FF00007F8000FC00
11326 003F8000F800003FC000E000001FE000E000000FE001C0000007F00380000007F8030000
11327 0003FC0600000001FC0E00000001FE1C00000000FF18000000007F30000000003FF00000
11328 00003FE0000000001FE0000000000FE00000000007F00000000007F8000000000FF80000
11329 00000DFC0000000019FE0000000038FF00000000707F00000000603F80000000C03FC000
11330 0001C01FC0000003800FE0000003000FF00000060007F800000E0003F800001C0001FC00
11331 003C0001FE00007C0001FF0001FC0001FF800FFE0003FFC0FFFF800FFFFFFFFF800FFFFF
11332 FFFF800FFFFF302B7FAA33>I<FFFFF001FFFCFFFFF001FFFCFFFFF001FFFC07FF00007F
11333 E003FE00001F8001FE00001F0001FE00000E0000FE00000C0000FF00001C00007F000018
11334 00007F00001800007F80003800003F80003000003F80003000001FC0006000001FC00060
11335 00001FE000E000000FE000C000000FE000C0000007F00180000007F00180000007F80380
11336 000003F80300000003F80300000001FC0600000001FC0600000001FE0E00000000FE0C00
11337 000000FE0C000000007F18000000007F18000000007FB8000000003FB0000000003FB000
11338 0000001FE0000000001FE0000000001FE0000000000FC0000000000FC000000000078000
11339 000000078000000000078000000000030000000000030000000000060000000000060000
11340 0000000600000000000C00000000000C0000000000180000000000180000003C00180000
11341 007E0030000000FF0030000000FF0060000000FF0060000000FF00C0000000FE01C00000
11342 007C03800000007007000000003C1E000000000FFC0000000003F0000000002E3F7EAA33
11343 >I<3FFFFFFFE03FFFFFFFE03FC0003FE03F00003FC03C00007F80380000FF00380000FF
11344 00300001FE00700003FC00700003FC00700007F80060000FF00060000FF00060001FE000
11345 60003FC00060003FC00000007F80000000FF00000001FF00000001FE00000003FC000000
11346 07FC00000007F80000000FF00000001FF00000001FE00060003FC00060007F800060007F
11347 80006000FF0000C001FE0000C001FE0000C003FC0000C007F80000C007F80001C00FF000
11348 01C01FE00003C01FE00003C03FC00007807F80001F80FF8000FF80FFFFFFFF80FFFFFFFF
11349 80232B7DAA2B>I<FFFFFFFFFFFFFFFFFFFFFFFF3002809B31>I<FFFFFFFFFFFFFFFFFFFF
11350 FFFF80FFFFFFFFFFFFFFFFFFFFFFFF806102809B62>I<00F8000203FE000707FF800E0F
11351 FFE01C1F1FF8F83807FFF07001FFE0E0007FC040001F00200978C131>126
11352 D<1E0007807F000FE0FF801FF0FFC03FF0FFC03FF0FFC03FF0FFC03FF0FF801FF07F000F
11353 E01E0007801C0A76C231>I E end
11354 %%EndProlog
11355 %%BeginSetup
11356 %%Feature: *Resolution 600dpi
11357 TeXDict begin
11358 %%PaperSize: A4
11359
11360 %%EndSetup
11361 %%Page: 1 1
11362 1 0 bop 3200 -18 a Fw(LU)32 b(TP)i(95{20)3131 90 y(Decem)m(b)s(er)e
11363 (1998)2090 198 y(\(revised)i(v)m(ersion)f(of)f(CERN{TH.7112/93\))2565
11364 307 y(\(\014rst)h(issued)h(Decem)m(b)s(er)e(1993\))3097
11365 415 y(hep-ph/9508391)p 2982 511 798 9 v 2982 752 9 242
11366 v 3061 656 a(W5035/W5044)p 3771 752 V 2982 760 798 9
11367 v 508 1407 a Fv(P)p Fu(YTHIA)76 b Fv(5.7)e Fu(and)g Fv(J)p
11368 Fu(ETSET)g Fv(7.4)1038 1653 y Fu(Ph)-5 b(ysics)66 b(and)e(Man)-5
11369 b(ual)1213 2031 y Ft(T)-13 b(orb)9 b(j\177)-81 b(orn)53
11370 b(Sj\177)-81 b(ostrand)982 2221 y Fs(Departmen)m(t)36
11371 b(of)i(Theoretical)e(Ph)m(ysics,)957 2353 y(Univ)m(ersit)m(y)g(of)j
11372 (Lund,)f(S\177)-59 b(olv)m(egatan)36 b(14A,)1238 2485
11373 y(S-223)i(62)g Fr(Lund)p Fs(,)g Fr(Sweden)p 936 2805
11374 1908 9 v 936 4710 9 1905 v 1687 3041 a Fq(*......*)1430
11375 3124 y(*:::!!:::::::::::*)1277 3206 y(*::::::!!::::::::::::::*)1174
11376 3289 y(*::::::::!!::::::::::::::)q(::*)1123 3371 y
11377 (*:::::::::!!::::::::::::::)q(:::)q(*)1123 3453 y
11378 (*:::::::::!!::::::::::::::)q(:::)q(*)1174 3536 y
11379 (*::::::::!!::::::::::::::)q(::*)q(!)1277 3618 y
11380 (*::::::!!::::::::::::::*)57 b(!!)1277 3700 y(!!)51 b
11381 (*:::!!:::::::::::*)210 b(!!)1277 3783 y(!!)256 b(!*)52
11382 b(-><-)h(*)461 b(!!)1277 3865 y(!!)256 b(!!)821 b(!!)1277
11383 3947 y(!!)256 b(!!)821 b(!!)1277 4030 y(!!)1179 b(!!)1277
11384 4112 y(!!)410 b(ep)667 b(!!)1277 4194 y(!!)1179 b(!!)1277
11385 4277 y(!!)872 b(pp)205 b(!!)1277 4359 y(!!)154 b(e+e-)821
11386 b(!!)1277 4442 y(!!)1179 b(!!)1277 4524 y(!!)p 2835 4710
11387 V 936 4718 1908 9 v 322 5015 3135 9 v 322 5553 9 538
11388 v 793 5169 a Fs(Imp)s(ortan)m(t)36 b(note:)50 b(this)39
11389 b(is)f(the)h(long)f(writeup)f(of)429 5314 y(T.)h(Sj\177)-59
11390 b(ostrand,)37 b(Computer)f(Ph)m(ysics)i(Comm)m(un.)47
11391 b Fp(82)40 b Fs(\(1994\))c(74.)628 5459 y(All)i(references)g(should)h
11392 (b)s(e)g(to)f(the)h(published)f(v)m(ersion.)p 3449 5553
11393 V 322 5561 3135 9 v eop
11394 %%Page: 2 2
11395 2 1 bop 378 764 3024 9 v 378 4473 9 3709 v 1533 1013
11396 a Fw(Cop)m(yrigh)m(t)33 b(Notice)481 1337 y Fo(CERNLIB)j({)i(CERN)e
11397 (Program)g(Library)h(Long)h(writeups)509 1551 y Fw(c)481
11398 1554 y Fn(\015)32 b Fw(Cop)m(yrigh)m(t)h(CERN,)h(Genev)-5
11399 b(a)33 b(1993)481 1771 y(Cop)m(yrigh)m(t)c(and)f(an)m(y)h(other)g
11400 (appropriate)e(legal)g(protection)h(of)f(these)j(com-)481
11401 1879 y(puter)f(programs)e(and)h(asso)s(ciated)g(do)s(cumen)m(tation)f
11402 (reserv)m(ed)j(in)d(all)f(coun-)481 1987 y(tries)33 b(of)f(the)h(w)m
11403 (orld.)481 2204 y(These)38 b(programs)c(or)h(do)s(cumen)m(tation)g(ma)m
11404 (y)g(not)g(b)s(e)h(repro)s(duced)h(b)m(y)f(an)m(y)481
11405 2312 y(metho)s(d)43 b(without)f(prior)g(written)g(consen)m(t)i(of)f
11406 (the)g(Director-General)d(of)481 2421 y(CERN)34 b(or)e(his)g(delegate.)
11407 481 2637 y(P)m(ermission)59 b(for)h(the)g(usage)g(of)g(an)m(y)g
11408 (programs)f(describ)s(ed)i(herein)e(is)481 2746 y(gran)m(ted)51
11409 b(apriori)d(to)i(those)g(scien)m(ti\014c)h(institutes)f(asso)s(ciated)g
11410 (with)f(the)481 2854 y(CERN)35 b(exp)s(erimen)m(tal)d(program)g(or)i
11411 (with)f(whom)g(CERN)h(has)g(concluded)481 2962 y(a)f(scien)m(ti\014c)f
11412 (collab)s(oration)e(agreemen)m(t.)481 3179 y(Requests)35
11413 b(for)d(information)d(should)k(b)s(e)g(addressed)h(to:)924
11414 3324 y Fq(CERN)52 b(Program)h(Library)g(Office)924 3444
11415 y(CERN-CN)g(Division)924 3564 y(CH-1211)g(Geneva)g(23)924
11416 3685 y(Switzerland)924 3805 y(Tel.)103 b(+41)53 b(22)e(767)h(4951)924
11417 3925 y(Fax.)103 b(+41)53 b(22)e(767)h(7155)924 4046 y(Bitnet:)104
11418 b(CERNLIB@CERNVM)924 4166 y(DECnet:)g(VXCERN::CERNLIB)56
11419 b(\(node)c(22.190\))924 4287 y(Internet:)105 b(CERNLIB@CERNVM.CERN.CH)p
11420 3393 4473 V 378 4481 3024 9 v 378 4775 a Fo(T)-9 b(rademark)35
11421 b(notice:)47 b(All)33 b(trademarks)h(app)s(earing)i(in)e(this)g(guide)g
11422 (are)378 4884 y(ac)m(kno)m(wledged)k(as)g(suc)m(h.)p
11423 eop
11424 %%Page: 3 3
11425 3 2 bop 0 -18 a Ft(Preface)0 189 y Fw(The)23 b Fm(Pythia)g
11426 Fw(and)g Fm(Jetset)e Fw(programs)h(are)g(frequen)m(tly)i(used)g(for)e
11427 (ev)m(en)m(t)i(generation)e(in)g(high-energy)0 297 y(ph)m(ysics.)72
11428 b(The)43 b(emphasis)f(is)f(on)g(m)m(ultiparticle)e(pro)s(duction)i(in)g
11429 (collisions)e(b)s(et)m(w)m(een)k(elemen)m(tary)0 405
11430 y(particles.)d(This)23 b(in)g(particular)e(means)j(hard)f(in)m
11431 (teractions)g(in)f(e)2359 369 y Fl(+)2419 405 y Fw(e)2462
11432 369 y Fk(\000)2521 405 y Fw(,)j(pp)f(and)f(ep)h(colliders,)g(although)0
11433 514 y(also)37 b(other)h(applications)d(are)j(en)m(visaged.)60
11434 b(The)39 b(programs)e(are)h(in)m(tended)g(to)g(generate)g(complete)0
11435 622 y(ev)m(en)m(ts,)47 b(in)41 b(as)i(m)m(uc)m(h)f(detail)f(as)h(exp)s
11436 (erimen)m(tally)f(observ)-5 b(able)42 b(ones,)k(within)41
11437 b(the)h(b)s(ounds)h(of)f(our)0 730 y(curren)m(t)25 b(understanding)e
11438 (of)g(the)h(underlying)f(ph)m(ysics.)42 b(Man)m(y)25
11439 b(of)e(the)h(comp)s(onen)m(ts)g(of)e(the)i(programs)0
11440 839 y(represen)m(t)h(original)20 b(researc)m(h,)27 b(in)22
11441 b(the)i(sense)g(that)f(mo)s(dels)f(ha)m(v)m(e)j(b)s(een)f(dev)m(elop)s
11442 (ed)g(and)f(implemen)m(ted)0 947 y(for)37 b(a)h(n)m(um)m(b)s(er)g(of)f
11443 (asp)s(ects)j(not)d(co)m(v)m(ered)j(b)m(y)f(standard)f(theory)-8
11444 b(.)60 b(Although)37 b(originally)d(conceiv)m(ed)0 1055
11445 y(separately)-8 b(,)41 b(the)e Fm(Pythia)g Fw(and)f Fm(Jetset)g
11446 Fw(programs)g(to)s(da)m(y)h(are)f(so)h(often)g(used)h(together)f(that)f
11447 (it)0 1164 y(mak)m(es)33 b(sense)i(to)d(presen)m(t)i(them)e(here)i
11448 (without)e(to)s(o)g(m)m(uc)m(h)h(distinction.)146 1272
11449 y(Both)i(programs)g(ha)m(v)m(e)h(a)f(long)f(history)-8
11450 b(,)36 b(and)f(sev)m(eral)h(man)m(uals)e(ha)m(v)m(e)i(come)f(out.)51
11451 b(The)36 b(former)0 1380 y(round)42 b(of)49 b Fm(Pythia/Jetset)41
11452 b Fw(program)f(descriptions)i(app)s(eared)h(in)e(1987.)71
11453 b(Mean)m(while)42 b(a)g(large)0 1489 y(n)m(um)m(b)s(er)35
11454 b(of)f(additions)f(and)i(c)m(hanges)g(ha)m(v)m(e)h(b)s(een)f(made.)49
11455 b(Recen)m(tly)35 b(a)f(new)i(description)e(therefore)0
11456 1597 y(app)s(eared)f(in)0 1729 y(T.)g(Sj\177)-49 b(ostrand,)33
11457 b(Computer)g(Ph)m(ysics)h(Comm)m(un.)43 b Fo(82)32 b
11458 Fw(\(1994\))g(74.)0 1861 y(This)c(is)g(the)h(one)f(and)g(only)g
11459 (correct)h(reference)g(to)f(the)h(curren)m(t)g(v)m(ersions)g(of)35
11460 b Fm(Pythia)28 b Fw(and)g Fm(Jetset)p Fw(.)0 1969 y(The)46
11461 b(long)e(writeup)h(that)g(y)m(ou)h(no)m(w)f(ha)m(v)m(e)i(b)s(efore)e(y)
11462 m(ou)g(is)g(an)g(\(unpublished\))g(app)s(endix)g(to)g(the)0
11463 2078 y(publication)23 b(ab)s(o)m(v)m(e,)28 b(and)d(need)i(not)e(b)s(e)g
11464 (separately)h(cited.)41 b(Instead)26 b(remem)m(b)s(er)f(to)g(cite)g
11465 (the)h(original)0 2186 y(literature)d(on)h(the)g(ph)m(ysics)i(topics)e
11466 (of)f(particular)g(relev)-5 b(ance)24 b(for)g(y)m(our)h(studies.)41
11467 b(\(There)25 b(is)f(no)g(reason)0 2294 y(to)k(omit)f(references)j(to)e
11468 (go)s(o)s(d)g(ph)m(ysics)i(pap)s(ers)f(simply)e(b)s(ecause)j(some)e(of)
11469 g(their)g(con)m(ten)m(ts)j(ha)m(v)m(e)e(also)0 2403 y(b)s(een)k(made)f
11470 (a)m(v)-5 b(ailable)30 b(as)j(program)e(co)s(de.\))146
11471 2511 y(Ev)m(en)m(t)36 b(generators)e(often)g(ha)m(v)m(e)h(a)f
11472 (reputation)f(for)h(b)s(eing)f(`blac)m(k)h(b)s(o)m(xes';)i(if)c
11473 (nothing)h(else,)i(this)0 2619 y(rep)s(ort)27 b(should)g(pro)m(vide)h
11474 (y)m(ou)f(with)g(a)g(glimpse)f(of)g(what)i(go)s(es)f(on)g(inside)g(the)
11475 g(programs.)41 b(Some)27 b(suc)m(h)0 2728 y(understanding)37
11476 b(ma)m(y)f(b)s(e)g(of)g(sp)s(ecial)g(in)m(terest)h(for)e(new)j(users,)g
11477 (who)f(ha)m(v)m(e)h(no)e(bac)m(kground)h(in)f(the)0 2836
11478 y(\014eld.)60 b(An)39 b(attempt)e(has)i(b)s(een)g(made)f(to)f
11479 (structure)j(the)e(rep)s(ort)g(su\016cien)m(tly)h(w)m(ell)f(that)g(man)
11480 m(y)g(of)0 2944 y(the)g(sections)g(can)g(b)s(e)g(read)f(indep)s(enden)m
11481 (tly)i(of)e(eac)m(h)h(other,)h(so)f(y)m(ou)g(can)g(pic)m(k)g(the)g
11482 (sections)g(that)0 3053 y(in)m(terest)29 b(y)m(ou.)43
11483 b(I)29 b(ha)m(v)m(e)g(tried)f(to)h(k)m(eep)h(together)f(the)f(ph)m
11484 (ysics)j(and)d(the)h(man)m(ual)e(sections)i(on)g(sp)s(eci\014c)0
11485 3161 y(topics,)43 b(where)g(practicable,)f(whic)m(h)g(represen)m(ts)i
11486 (a)d(c)m(hange)h(of)f(p)s(olicy)f(compared)h(with)g(previous)0
11487 3269 y(man)m(ual)31 b(v)m(ersions.)45 b(An)m(y)33 b(feedbac)m(k)i(on)d
11488 (this)g(and)h(other)g(asp)s(ects)h(is)e(w)m(elcome.)146
11489 3378 y(A)50 b(large)e(n)m(um)m(b)s(er)i(of)f(p)s(ersons)h(should)g(b)s
11490 (e)f(thank)m(ed)i(for)e(their)g(con)m(tributions.)93
11491 b(Hans-Uno)0 3486 y(Bengtsson)42 b(is)d(the)i(originator)d(of)i(the)g
11492 Fm(Pythia)h Fw(program,)g(and)f(for)g(man)m(y)g(y)m(ears)i(w)m(e)f(w)m
11493 (ork)m(ed)h(in)0 3594 y(parallel)29 b(on)j(its)f(further)h(dev)m
11494 (elopmen)m(t.)44 b(Mats)32 b(Bengtsson)h(is)e(the)h(main)e(author)i(of)
11495 f(the)h(\014nal-state)0 3703 y(parton-sho)m(w)m(er)37
11496 b(algorithm.)49 b(Bo)35 b(Andersson)j(and)d(G\177)-49
11497 b(osta)35 b(Gustafson)h(are)g(the)g(originators)d(of)i(the)0
11498 3811 y(Lund)43 b(mo)s(del,)h(and)f(strongly)g(in\015uenced)h(the)f
11499 (early)g(dev)m(elopmen)m(t)g(of)g(the)g(programs.)73
11500 b(F)-8 b(urther)0 3919 y(commen)m(ts)29 b(on)f(the)i(programs)d(ha)m(v)
11501 m(e)k(b)s(een)e(obtained)f(from)g(users)i(to)s(o)e(n)m(umerous)h(to)g
11502 (b)s(e)g(men)m(tioned)0 4028 y(here,)38 b(but)f(who)g(are)f(all)f
11503 (gratefully)f(ac)m(kno)m(wledged.)57 b(T)-8 b(o)37 b(write)f(programs)f
11504 (of)h(this)g(size)h(and)g(com-)0 4136 y(plexit)m(y)32
11505 b(w)m(ould)h(b)s(e)g(imp)s(ossible)d(without)i(a)g(strong)h(user)h
11506 (feedbac)m(k.)146 4244 y(The)45 b(moral)d(resp)s(onsibilit)m(y)g(for)h
11507 (an)m(y)i(remaining)c(errors)j(clearly)f(rests)i(with)e(me.)77
11508 b(Ho)m(w)m(ev)m(er,)0 4353 y(kindly)37 b(note)i(that)e(this)h(is)f(a)h
11509 (`Univ)m(ersit)m(y)h(W)-8 b(orld')37 b(pro)s(duct,)i(distributed)f(`as)
11510 g(is',)h(free)f(of)g(c)m(harge,)0 4461 y(without)33 b(an)m(y)h(binding)
11511 d(guaran)m(tees.)47 b(And)34 b(alw)m(a)m(ys)f(remem)m(b)s(er)g(that)g
11512 (the)h(programs)e(do)h(not)g(repre-)0 4569 y(sen)m(t)28
11513 b(a)e(dead)g(collection)f(of)h(established)g(truths,)j(but)d(rather)h
11514 (one)f(of)g(man)m(y)g(p)s(ossible)g(approac)m(hes)i(to)0
11515 4678 y(the)h(problem)d(of)i(m)m(ultiparticle)d(pro)s(duction)i(in)g
11516 (high-energy)h(ph)m(ysics,)j(at)d(the)g(fron)m(tline)f(of)g(curren)m(t)
11517 0 4786 y(researc)m(h.)45 b(Be)33 b(critical!)p eop
11518 %%Page: 4 4
11519 4 3 bop eop
11520 %%Page: 5 5
11521 5 4 bop 0 -18 a Ft(Con)l(ten)l(ts)0 189 y Fo(1)90 b(In)m(tro)s(duction)
11522 2959 b(1)0 394 y(2)90 b(Ph)m(ysics)37 b(Ov)m(erview)2715
11523 b(9)146 503 y Fw(2.1)100 b(Hard)32 b(Pro)s(cesses)j(and)e(P)m(arton)g
11524 (Distributions)53 b(.)d(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g
11525 (.)g(.)g(.)g(.)g(.)g(.)141 b(9)146 611 y(2.2)100 b(Initial-)29
11526 b(and)k(Final-State)d(Radiation)59 b(.)50 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11527 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11528 b(11)146 719 y(2.3)100 b(Beam)32 b(Remnan)m(ts)d(.)50
11529 b(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11530 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11531 b(14)146 828 y(2.4)100 b(F)-8 b(ragmen)m(tation)30 b(.)50
11532 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g
11533 (.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11534 b(15)146 936 y(2.5)100 b(Deca)m(ys)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h
11535 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)
11536 g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(18)0
11537 1142 y Fo(3)e(Program)37 b(Ov)m(erview)2595 b(20)146
11538 1250 y Fw(3.1)100 b(Up)s(date)32 b(History)70 b(.)50
11539 b(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11540 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11541 b(21)146 1359 y(3.2)100 b(Program)31 b(Installation)71
11542 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11543 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11544 b(32)146 1467 y(3.3)100 b(Program)31 b(Philosoph)m(y)91
11545 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11546 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11547 b(34)146 1575 y(3.4)100 b(Man)m(ual)32 b(Con)m(v)m(en)m(tions)90
11548 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11549 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11550 b(35)146 1684 y(3.5)100 b(Getting)31 b(Started)i(with)f(JETSET)43
11551 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11552 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(36)146 1792 y(3.6)100
11553 b(Getting)31 b(Started)i(with)f(PYTHIA)d(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g
11554 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11555 92 b(39)0 1998 y Fo(4)e(Mon)m(te)38 b(Carlo)f(T)-9 b(ec)m(hniques)2322
11556 b(44)146 2106 y Fw(4.1)100 b(Selection)32 b(F)-8 b(rom)31
11557 b(a)h(Distribution)75 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g
11558 (.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11559 b(44)146 2215 y(4.2)100 b(The)33 b(V)-8 b(eto)33 b(Algorithm)94
11560 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11561 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11562 b(46)146 2323 y(4.3)100 b(The)33 b(Random)f(Num)m(b)s(er)g(Generator)26
11563 b(.)50 b(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)
11564 g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(48)0 2529 y Fo(5)e(The)38
11565 b(Ev)m(en)m(t)f(Record)2622 b(52)146 2637 y Fw(5.1)100
11566 b(P)m(article)31 b(Co)s(des)36 b(.)50 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g
11567 (.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)
11568 g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(52)146 2746 y(5.2)100
11569 b(The)33 b(Ev)m(en)m(t)i(Record)28 b(.)49 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11570 (.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)
11571 g(.)g(.)g(.)g(.)g(.)g(.)92 b(57)146 2854 y(5.3)100 b(Ho)m(w)33
11572 b(The)g(Ev)m(en)m(t)i(Record)e(W)-8 b(orks)43 b(.)50
11573 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g
11574 (.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(61)146 2962 y(5.4)100
11575 b(The)33 b(HEPEVT)i(Standard)76 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11576 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11577 (.)g(.)92 b(64)0 3168 y Fo(6)e(Hard)38 b(Pro)s(cesses)f(in)g(JETSET)
11578 2175 b(68)146 3276 y Fw(6.1)100 b(Annihilation)29 b(Ev)m(en)m(ts)35
11579 b(in)d(the)h(Con)m(tin)m(uum)86 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11580 g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(68)146
11581 3385 y(6.2)100 b(Deca)m(ys)33 b(of)g(Onia)e(Resonances)f(.)50
11582 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f
11583 (.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(78)146 3493 y(6.3)100
11584 b(Routines)32 b(and)h(Common)e(Blo)s(c)m(k)h(V)-8 b(ariables)51
11585 b(.)f(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g
11586 (.)g(.)g(.)92 b(79)146 3602 y(6.4)100 b(Examples)89 b(.)50
11587 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g
11588 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11589 92 b(85)0 3807 y Fo(7)e(Pro)s(cess)38 b(Generation)f(in)g(PYTHIA)1943
11590 b(87)146 3916 y Fw(7.1)100 b(P)m(arton)32 b(Distributions)78
11591 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11592 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11593 b(87)146 4024 y(7.2)100 b(Kinematics)31 b(and)h(Cross)i(section)f(for)f
11594 (a)g(2)27 b Fn(!)h Fw(2)k(Pro)s(cess)67 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)
11595 g(.)g(.)g(.)g(.)g(.)g(.)g(.)92 b(91)146 4132 y(7.3)100
11596 b(Resonance)33 b(Pro)s(duction)84 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g
11597 (.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)
11598 g(.)g(.)g(.)92 b(93)146 4241 y(7.4)100 b(Cross-section)33
11599 b(Calculations)72 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11600 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)92
11601 b(96)146 4349 y(7.5)100 b(2)27 b Fn(!)g Fw(3)33 b(and)f(2)c
11602 Fn(!)f Fw(4)32 b(Pro)s(cesses)i(.)50 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g
11603 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11604 43 b(102)146 4457 y(7.6)100 b(Resonance)33 b(Deca)m(ys)h(.)49
11605 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g
11606 (.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11607 b(104)146 4566 y(7.7)100 b(Nonp)s(erturbativ)m(e)33 b(Pro)s(cesses)56
11608 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11609 g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(106)0 4772
11610 y Fo(8)90 b(Ph)m(ysics)37 b(Pro)s(cesses)g(in)g(PYTHIA)1974
11611 b(112)146 4880 y Fw(8.1)100 b(The)33 b(Pro)s(cess)h(Classi\014cation)d
11612 (Sc)m(heme)k(.)50 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f
11613 (.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(112)146 4988
11614 y(8.2)100 b(QCD)32 b(Pro)s(cesses)79 b(.)50 b(.)f(.)h(.)g(.)g(.)g(.)g
11615 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11616 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(117)146 5097 y(8.3)100
11617 b(Electro)m(w)m(eak)34 b(Gauge)e(Bosons)45 b(.)50 b(.)g(.)g(.)g(.)g(.)g
11618 (.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)
11619 g(.)g(.)g(.)43 b(121)146 5205 y(8.4)100 b(Higgs)31 b(Pro)s(duction)64
11620 b(.)49 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)
11621 g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11622 b(128)146 5313 y(8.5)100 b(Non-Standard)32 b(Ph)m(ysics)92
11623 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)
11624 g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(133)146
11625 5422 y(8.6)100 b(Main)32 b(Pro)s(cesses)i(b)m(y)g(Mac)m(hine)91
11626 b(.)50 b(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11627 f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(136)p eop
11628 %%Page: 6 6
11629 6 5 bop 0 -18 a Fo(9)90 b(The)38 b(PYTHIA)e(Program)g(Elemen)m(ts)1831
11630 b(139)146 90 y Fw(9.1)100 b(The)33 b(Main)f(Subroutines)82
11631 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)
11632 g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(139)146
11633 198 y(9.2)100 b(Switc)m(hes)34 b(for)e(Ev)m(en)m(t)i(T)m(yp)s(e)g(and)f
11634 (Kinematics)e(Selection)h(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)
11635 g(.)g(.)g(.)43 b(143)146 307 y(9.3)100 b(The)33 b(General)f(Switc)m
11636 (hes)i(and)f(P)m(arameters)96 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g
11637 (.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(148)146
11638 415 y(9.4)100 b(General)31 b(Ev)m(en)m(t)k(Information)42
11639 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11640 g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(164)146
11641 523 y(9.5)100 b(Ho)m(w)33 b(to)f(include)g(external)h(pro)s(cesses)h
11642 (in)e(PYTHIA)59 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)
11643 g(.)g(.)g(.)43 b(168)146 632 y(9.6)100 b(Ho)m(w)33 b(to)f(run)h(PYTHIA)
11644 h(with)e(v)-5 b(arying)32 b(energies)j(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g
11645 (.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(173)146
11646 740 y(9.7)100 b(Other)33 b(Routines)f(and)h(Common)e(Blo)s(c)m(ks)79
11647 b(.)49 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)
11648 g(.)g(.)g(.)g(.)43 b(176)146 848 y(9.8)100 b(Examples)89
11649 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11650 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11651 (.)g(.)43 b(189)0 1054 y Fo(10)34 b(Initial-)i(and)i(Final-State)f
11652 (Radiation)1819 b(190)146 1162 y Fw(10.1)51 b(Sho)m(w)m(er)34
11653 b(Ev)m(olution)58 b(.)49 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f
11654 (.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11655 g(.)g(.)43 b(190)146 1271 y(10.2)51 b(Final-State)30
11656 b(Sho)m(w)m(ers)36 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h
11657 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)
11658 g(.)43 b(193)146 1379 y(10.3)51 b(Initial-State)29 b(Sho)m(w)m(ers)77
11659 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11660 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11661 b(199)146 1488 y(10.4)51 b(Routines)32 b(and)h(Common)e(Blo)s(c)m(k)h
11662 (V)-8 b(ariables)51 b(.)f(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h
11663 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(206)0 1693 y Fo(11)34
11664 b(Beam)j(Remnan)m(ts)h(and)g(Underlying)f(Ev)m(en)m(ts)1490
11665 b(213)146 1802 y Fw(11.1)51 b(Beam)32 b(Remnan)m(ts)d(.)50
11666 b(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11667 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11668 b(213)146 1910 y(11.2)51 b(Multiple)31 b(In)m(teractions)64
11669 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11670 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11671 b(216)146 2018 y(11.3)51 b(Pile-up)31 b(Ev)m(en)m(ts)i(.)50
11672 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g
11673 (.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11674 b(223)146 2127 y(11.4)51 b(Common)31 b(Blo)s(c)m(k)h(V)-8
11675 b(ariables)34 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11676 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11677 b(224)0 2333 y Fo(12)34 b(F)-9 b(ragmen)m(tation)2752
11678 b(229)146 2441 y Fw(12.1)51 b(Fla)m(v)m(our)32 b(Selection)69
11679 b(.)49 b(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)
11680 g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11681 b(229)146 2549 y(12.2)51 b(String)31 b(F)-8 b(ragmen)m(tation)45
11682 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11683 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11684 b(233)146 2658 y(12.3)51 b(Indep)s(enden)m(t)35 b(F)-8
11685 b(ragmen)m(tation)84 b(.)50 b(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11686 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11687 b(241)146 2766 y(12.4)51 b(Other)33 b(F)-8 b(ragmen)m(tation)30
11688 b(Asp)s(ects)80 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)
11689 g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(243)0
11690 2972 y Fo(13)34 b(P)m(articles)h(and)k(Their)d(Deca)m(ys)2140
11691 b(245)146 3080 y Fw(13.1)51 b(The)33 b(P)m(article)f(Con)m(ten)m(t)59
11692 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)
11693 g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11694 b(245)146 3189 y(13.2)51 b(Masses,)34 b(Widths)f(and)g(Lifetimes)64
11695 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11696 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(246)146 3297 y(13.3)51
11697 b(Deca)m(ys)f(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11698 (.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)
11699 g(.)g(.)g(.)g(.)g(.)g(.)43 b(248)0 3503 y Fo(14)34 b(The)k(JETSET)f
11700 (Program)f(Elemen)m(ts)1861 b(254)146 3611 y Fw(14.1)51
11701 b(De\014nition)31 b(of)h(Initial)e(Con\014guration)h(or)i(V)-8
11702 b(ariables)54 b(.)c(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11703 (.)g(.)43 b(254)146 3720 y(14.2)51 b(The)33 b(JETSET)i(Ph)m(ysics)f
11704 (Routines)87 b(.)50 b(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g
11705 (.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(256)146
11706 3828 y(14.3)51 b(Ev)m(en)m(t)34 b(Study)g(and)e(Data)g(Listing)f
11707 (Routines)f(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g
11708 (.)g(.)g(.)g(.)g(.)g(.)43 b(259)146 3936 y(14.4)51 b(The)33
11709 b(General)f(Switc)m(hes)i(and)f(P)m(arameters)96 b(.)50
11710 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11711 (.)g(.)43 b(264)146 4045 y(14.5)51 b(Couplings)76 b(.)50
11712 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g
11713 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11714 43 b(274)146 4153 y(14.6)51 b(F)-8 b(urther)32 b(P)m(arameters)h(and)g
11715 (P)m(article)f(Data)100 b(.)50 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)
11716 f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(278)146 4261
11717 y(14.7)51 b(Miscellaneous)32 b(Commen)m(ts)46 b(.)k(.)g(.)g(.)g(.)g(.)g
11718 (.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)
11719 g(.)g(.)g(.)g(.)43 b(284)146 4370 y(14.8)51 b(Examples)89
11720 b(.)50 b(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)
11721 h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g
11722 (.)g(.)43 b(287)0 4576 y Fo(15)34 b(Ev)m(en)m(t)j(Analysis)g(Routines)
11723 2260 b(291)146 4684 y Fw(15.1)51 b(Ev)m(en)m(t)34 b(Shap)s(es)79
11724 b(.)50 b(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)
11725 g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11726 b(291)146 4792 y(15.2)51 b(Cluster)33 b(Finding)58 b(.)50
11727 b(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g
11728 (.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11729 b(295)146 4901 y(15.3)51 b(Ev)m(en)m(t)34 b(Statistics)59
11730 b(.)50 b(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)
11731 g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43
11732 b(299)146 5009 y(15.4)51 b(Routines)32 b(and)h(Common)e(Blo)s(c)m(k)h
11733 (V)-8 b(ariables)51 b(.)f(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)f(.)h
11734 (.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)43 b(301)0 5215 y Fo(16)34
11735 b(Summary)j(and)i(Outlo)s(ok)2344 b(312)0 5421 y(References)3087
11736 b(313)0 5627 y(Index)38 b(of)g(Subprograms)g(and)g(Common)f(Blo)s(c)m
11737 (k)f(V)-9 b(ariables)1027 b(323)p eop
11738 %%Page: 1 7
11739 1 6 bop 0 -18 a Ft(1)161 b(In)l(tro)t(duction)0 189 y
11740 Fw(Multiparticle)25 b(pro)s(duction)j(is)f(the)h(most)g(c)m
11741 (haracteristic)f(feature)i(of)e(curren)m(t)i(high-energy)f(ph)m(ysics.)
11742 0 297 y(T)-8 b(o)s(da)m(y)g(,)30 b(observ)m(ed)h(particle)d(m)m
11743 (ultiplicities)d(are)k(t)m(ypically)f(b)s(et)m(w)m(een)j(ten)f(and)f(a)
11744 g(h)m(undred,)j(and)d(with)0 405 y(future)44 b(mac)m(hines)g(this)g
11745 (range)g(will)d(b)s(e)k(extended)h(up)m(w)m(ards.)79
11746 b(The)45 b(bulk)f(of)f(the)i(m)m(ultiplicit)m(y)40 b(is)0
11747 514 y(found)33 b(in)f(jets,)h(i.e.)43 b(in)32 b(bunc)m(hes)j(of)e
11748 (hadrons)g(\(or)f(deca)m(y)i(pro)s(ducts)g(of)e(hadrons\))h(pro)s
11749 (duced)g(b)m(y)h(the)0 622 y(hadronization)d(of)h(quarks)i(and)e
11750 (gluons.)0 870 y Fo(The)38 b(Complexit)m(y)d(of)j(High-Energy)e(Pro)s
11751 (cesses)0 1042 y Fw(T)-8 b(o)37 b(\014rst)g(appro)m(ximation,)f(all)e
11752 (pro)s(cesses)39 b(ha)m(v)m(e)f(a)f(simple)e(structure)j(at)e(the)h
11753 (lev)m(el)g(of)f(in)m(teractions)0 1151 y(b)s(et)m(w)m(een)j(the)f
11754 (fundamen)m(tal)f(ob)5 b(jects)38 b(of)f(nature,)i(i.e.)58
11755 b(quarks,)40 b(leptons)d(and)h(gauge)f(b)s(osons.)58
11756 b(F)-8 b(or)0 1259 y(instance,)28 b(a)f(lot)e(can)i(b)s(e)g(understo)s
11757 (o)s(d)h(ab)s(out)e(the)h(structure)h(of)e(hadronic)h(ev)m(en)m(ts)i
11758 (at)d(LEP)i(just)f(from)0 1367 y(the)38 b(`sk)m(eleton')h(pro)s(cess)g
11759 (e)995 1331 y Fl(+)1054 1367 y Fw(e)1097 1331 y Fk(\000)1193
11760 1367 y Fn(!)d Fw(Z)1389 1331 y Fl(0)1464 1367 y Fn(!)g
11761 Fw(q)p 1651 1314 52 4 v(q)q(.)58 b(Corrections)38 b(to)g(this)f
11762 (picture)h(can)f(b)s(e)h(sub)s(divided,)0 1476 y(arbitrarily)30
11763 b(but)j(con)m(v)m(enien)m(tly)-8 b(,)34 b(in)m(to)d(three)j(main)c
11764 (classes.)146 1584 y(Firstly)-8 b(,)41 b(there)f(are)g
11765 (bremsstrahlung-t)m(yp)s(e)g(mo)s(di\014cations,)g(i.e.)65
11766 b(the)40 b(emission)f(of)g(additional)0 1692 y(\014nal-state)e
11767 (particles)g(b)m(y)h(branc)m(hings)g(suc)m(h)i(as)d(e)g
11768 Fn(!)f Fw(e)p Fj(\015)43 b Fw(or)37 b(q)g Fn(!)f Fw(qg)q(.)60
11769 b(Because)39 b(of)e(the)h(largeness)0 1801 y(of)f(the)h(strong)g
11770 (coupling)e(constan)m(t)j Fj(\013)1449 1816 y Fl(s)1481
11771 1801 y Fw(,)f(and)g(b)s(ecause)h(of)e(the)h(presence)i(of)d(the)h
11772 (triple)e(gluon)h(v)m(er-)0 1909 y(tex,)c(QCD)g(emission)e(o\013)h
11773 (quarks)i(and)f(gluons)f(is)g(esp)s(ecially)f(proli\014c.)42
11774 b(W)-8 b(e)33 b(therefore)g(sp)s(eak)h(ab)s(out)0 2017
11775 y(`parton)j(sho)m(w)m(ers',)k(wherein)d(a)e(single)h(initial)c(parton)k
11776 (ma)m(y)g(giv)m(e)g(rise)g(to)g(a)g(whole)g(bunc)m(h)h(of)f(par-)0
11777 2126 y(tons)k(in)g(the)g(\014nal)g(state.)69 b(Also)41
11778 b(photon)g(emission)f(ma)m(y)h(giv)m(e)g(sizeable)g(e\013ects)h(in)f(e)
11779 3281 2090 y Fl(+)3340 2126 y Fw(e)3383 2090 y Fk(\000)3484
11780 2126 y Fw(and)g(ep)0 2234 y(pro)s(cesses.)55 b(The)37
11781 b(bulk)f(of)f(the)h(bremsstrahlung)g(corrections)g(are)g(univ)m(ersal,)
11782 g(i.e.)53 b(do)36 b(not)f(dep)s(end)0 2342 y(on)f(the)g(details)f(of)g
11783 (the)h(pro)s(cess)h(studied,)g(but)f(only)f(on)h(one)g(or)f(a)h(few)g
11784 (k)m(ey)i(n)m(um)m(b)s(ers,)f(suc)m(h)g(as)f(the)0 2451
11785 y(momen)m(tum)h(transfer)i(scale)f(of)g(the)h(pro)s(cess.)56
11786 b(Suc)m(h)37 b(univ)m(ersal)g(corrections)f(ma)m(y)g(b)s(e)h(included)f
11787 (to)0 2559 y(arbitrarily)g(high)h(orders,)k(using)d(a)g(probabilistic)e
11788 (language.)60 b(Alternativ)m(ely)-8 b(,)39 b(exact)g(calculations)0
11789 2667 y(of)44 b(bremsstrahlung)g(corrections)h(ma)m(y)g(b)s(e)f(carried)
11790 h(out)f(order)h(b)m(y)g(order)g(in)f(p)s(erturbation)g(the-)0
11791 2776 y(ory)-8 b(,)33 b(but)h(rapidly)e(the)h(calculations)e(then)j(b)s
11792 (ecome)f(prohibitiv)m(ely)e(complicated)h(and)h(the)h(answ)m(ers)0
11793 2884 y(corresp)s(ondingly)e(length)m(y)-8 b(.)146 2992
11794 y(Secondly)g(,)31 b(w)m(e)f(ha)m(v)m(e)h(`true')f(higher-order)f
11795 (corrections,)h(whic)m(h)g(in)m(v)m(olv)m(e)g(a)f(com)m(bination)e(of)i
11796 (lo)s(op)0 3101 y(graphs)35 b(and)h(the)f(soft)g(parts)h(of)e(the)i
11797 (bremsstrahlung)f(graphs)g(ab)s(o)m(v)m(e,)i(a)e(com)m(bination)e
11798 (needed)k(to)0 3209 y(cancel)30 b(some)f(div)m(ergences.)44
11799 b(In)30 b(a)g(complete)f(description)g(it)f(is)h(therefore)i(not)e(p)s
11800 (ossible)g(to)g(consider)0 3318 y(bremsstrahlung)i(separately)-8
11801 b(,)32 b(as)g(assumed)g(here.)44 b(The)33 b(necessary)h(p)s(erturbativ)
11802 m(e)e(calculations)d(are)0 3426 y(usually)i(v)m(ery)i(di\016cult;)e
11803 (only)g(rarely)g(ha)m(v)m(e)i(results)f(b)s(een)g(presen)m(ted)i(that)d
11804 (include)g(more)g(than)g(one)0 3534 y(non-`trivial')h(order,)k(i.e.)50
11805 b(more)34 b(than)h(one)g(lo)s(op.)49 b(As)36 b(ab)s(o)m(v)m(e,)g(answ)m
11806 (ers)h(are)e(usually)f(v)m(ery)i(length)m(y)-8 b(,)0
11807 3643 y(but)47 b(some)f(results)i(are)e(su\016cien)m(tly)i(simple)d(to)h
11808 (b)s(e)h(generally)f(kno)m(wn)i(and)f(used,)k(suc)m(h)d(as)f(the)0
11809 3751 y(running)38 b(of)g Fj(\013)548 3766 y Fl(s)580
11810 3751 y Fw(,)i(or)e(the)g(correction)g(factor)g(1)26 b(+)g
11811 Fj(\013)1930 3766 y Fl(s)1962 3751 y Fj(=\031)k Fw(+)c
11812 Fn(\001)17 b(\001)g(\001)36 b Fw(in)i(the)g(partial)e(widths)j(of)f(Z)
11813 3463 3715 y Fl(0)3539 3751 y Fn(!)g Fw(q)p 3728 3698
11814 V(q)0 3859 y(deca)m(y)29 b(c)m(hannels.)43 b(F)-8 b(or)26
11815 b(high-precision)g(studies)i(it)f(is)g(imp)s(erativ)m(e)f(to)h(tak)m(e)
11816 h(in)m(to)f(accoun)m(t)h(the)g(results)0 3968 y(of)c(lo)s(op)f
11817 (calculations,)h(but)g(usually)g(e\013ects)h(are)g(minor)d(for)i(the)h
11818 (qualitativ)m(e)d(asp)s(ects)k(of)e(high-energy)0 4076
11819 y(pro)s(cesses.)146 4184 y(Thirdly)-8 b(,)44 b(quarks)f(and)f(gluons)g
11820 (are)g(con\014ned.)72 b(In)43 b(the)f(t)m(w)m(o)h(p)s(oin)m(ts)e(ab)s
11821 (o)m(v)m(e,)k(w)m(e)e(ha)m(v)m(e)h(used)f(a)0 4293 y(p)s(erturbativ)m
11822 (e)37 b(language)f(to)g(describ)s(e)h(the)g(short-distance)g(in)m
11823 (teractions)f(of)h(quarks,)i(leptons)d(and)0 4401 y(gauge)d(b)s(osons.)
11824 46 b(F)-8 b(or)32 b(leptons)h(and)g(colourless)g(b)s(osons)h(this)e
11825 (language)g(is)h(su\016cien)m(t.)46 b(Ho)m(w)m(ev)m(er,)36
11826 b(for)0 4509 y(quarks)c(and)g(gluons)e(it)g(m)m(ust)h(b)s(e)h
11827 (complemen)m(ted)e(with)h(a)g(picture)g(for)f(the)i(hadronization)d
11828 (pro)s(cess)0 4618 y(\(whic)m(h)35 b(can)g(b)s(e)g(sub)s(divided)g(in)m
11829 (to)f(fragmen)m(tation)f(and)i(deca)m(ys\),)i(wherein)f(the)f(coloured)
11830 f(partons)0 4726 y(are)45 b(transformed)g(in)m(to)g(jets)h(of)f
11831 (colourless)g(hadrons,)k(photons)d(and)g(leptons.)82
11832 b(This)45 b(pro)s(cess)i(is)0 4834 y(still)42 b(not)i(y)m(et)h
11833 (understo)s(o)s(d)f(from)f(\014rst)i(principles,)h(but)e(has)h(to)e(b)s
11834 (e)i(based)g(on)f(mo)s(dels.)77 b(In)44 b(one)0 4943
11835 y(sense,)37 b(hadronization)32 b(e\013ects)k(are)e(o)m(v)m
11836 (erwhelmingly)g(large,)f(since)i(this)f(is)g(where)h(the)g(bulk)f(of)g
11837 (the)0 5051 y(m)m(ultiplicit)m(y)22 b(comes)j(from.)40
11838 b(In)26 b(another)f(sense,)k(the)d(o)m(v)m(erall)e(energy)j(\015o)m(w)f
11839 (of)e(a)i(high-energy)f(ev)m(en)m(t)i(is)0 5159 y(mainly)j(determined)i
11840 (b)m(y)h(the)f(p)s(erturbativ)m(e)h(pro)s(cesses,)h(with)e(only)f(a)h
11841 (minor)e(additional)g(smearing)0 5268 y(caused)41 b(b)m(y)h(the)e
11842 (hadronization)f(step.)67 b(One)40 b(ma)m(y)g(therefore)h(pic)m(k)f
11843 (di\013eren)m(t)h(lev)m(els)f(of)g(am)m(bition,)0 5376
11844 y(but)33 b(in)f(general)g(detailed)f(studies)i(require)g(a)g(detailed)e
11845 (mo)s(delling)e(of)j(the)h(hadronization)e(pro)s(cess.)146
11846 5484 y(The)45 b(simple)c(structure)k(that)e(w)m(e)i(started)f(out)f
11847 (with)g(has)h(no)m(w)g(b)s(ecome)f(considerably)g(more)0
11848 5593 y(complex)38 b(|)h(instead)f(of)h(ma)m(yb)s(e)g(t)m(w)m(o)g
11849 (\014nal-state)f(partons)h(w)m(e)h(ha)m(v)m(e)g(a)f(h)m(undred)h
11850 (\014nal)e(particles.)1865 5953 y(1)p eop
11851 %%Page: 2 8
11852 2 7 bop 0 -18 a Fw(The)35 b(original)c(ph)m(ysics)k(is)f(not)g(gone,)g
11853 (but)h(the)f(sk)m(eleton)h(pro)s(cess)g(has)g(b)s(een)f(dressed)i(up)f
11854 (and)f(is)g(no)0 90 y(longer)h(directly)g(visible.)52
11855 b(A)36 b(direct)f(comparison)g(b)s(et)m(w)m(een)j(theory)e(and)g(exp)s
11856 (erimen)m(t)g(is)f(therefore)0 198 y(complicated)c(at)h(b)s(est,)h(and)
11857 g(imp)s(ossible)d(at)j(w)m(orst.)0 446 y Fo(Ev)m(en)m(t)k(Generators)0
11858 619 y Fw(It)d(is)g(here)h(that)g(ev)m(en)m(t)h(generators)e(come)h(to)f
11859 (the)g(rescue.)51 b(In)34 b(an)h(ev)m(en)m(t)h(generator,)f(the)f(ob)5
11860 b(jectiv)m(e)0 727 y(striv)m(ed)37 b(for)f(is)g(to)g(use)h(computers)g
11861 (to)f(generate)h(ev)m(en)m(ts)h(as)f(detailed)e(as)i(could)f(b)s(e)g
11862 (observ)m(ed)j(b)m(y)e(a)0 835 y(p)s(erfect)h(detector.)57
11863 b(This)37 b(is)g(not)g(done)g(in)f(one)i(step,)h(but)e(rather)g(b)m(y)h
11864 (`factorizing')d(the)j(full)d(prob-)0 944 y(lem)g(in)m(to)h(a)h(n)m(um)
11865 m(b)s(er)g(of)f(comp)s(onen)m(ts,)j(eac)m(h)e(of)g(whic)m(h)g(can)g(b)s
11866 (e)g(handled)g(reasonably)f(accurately)-8 b(.)0 1052
11867 y(Basically)g(,)35 b(this)g(means)h(that)g(the)g(hard)g(pro)s(cess)i
11868 (is)d(used)i(as)f(input)g(to)f(generate)i(bremsstrahlung)0
11869 1160 y(corrections,)28 b(and)g(that)e(the)i(result)f(of)f(this)h
11870 (exercise)h(is)f(thereafter)h(left)e(to)h(hadronize.)41
11871 b(This)27 b(sounds)0 1269 y(a)j(bit)f(easier)h(than)h(it)e(really)g(is)
11872 g(|)h(else)g(this)g(rep)s(ort)g(w)m(ould)g(b)s(e)h(a)e(lot)g(thinner.)
11873 43 b(Ho)m(w)m(ev)m(er,)33 b(the)e(basic)0 1377 y(idea)26
11874 b(is)f(there:)41 b(if)25 b(the)i(full)d(problem)h(is)h(to)s(o)f
11875 (complicated)g(to)g(b)s(e)i(solv)m(ed)f(in)g(one)g(go,)h(try)g(to)f
11876 (sub)s(divide)0 1485 y(it)h(in)m(to)h(smaller)e(tasks)j(of)f
11877 (manageable)e(prop)s(ortions.)41 b(In)29 b(the)f(actual)f(generation)h
11878 (pro)s(cedure,)i(most)0 1594 y(steps)k(therefore)f(in)m(v)m(olv)m(e)g
11879 (the)g(branc)m(hing)g(of)f(one)g(ob)5 b(ject)34 b(in)m(to)e(t)m(w)m(o,)
11880 h(or)f(at)g(least)h(in)m(to)e(a)i(v)m(ery)h(small)0 1702
11881 y(n)m(um)m(b)s(er,)f(eac)m(h)g(of)e(whic)m(h)i(b)s(eing)e(free)i(to)f
11882 (branc)m(h)h(in)e(its)h(turn.)43 b(A)32 b(lot)f(of)h(b)s(o)s(okk)m
11883 (eeping)g(is)g(in)m(v)m(olv)m(ed,)0 1810 y(but)h(m)m(uc)m(h)g(is)f(of)g
11884 (a)g(rep)s(etitiv)m(e)h(nature,)g(and)f(can)h(therefore)g(b)s(e)g(left)
11885 f(for)g(the)h(computer)f(to)h(handle.)146 1919 y(As)45
11886 b(the)f(name)f(indicates,)j(the)e(output)g(of)f(an)g(ev)m(en)m(t)j
11887 (generator)d(should)h(b)s(e)g(in)f(the)h(form)e(of)0
11888 2027 y(`ev)m(en)m(ts',)49 b(with)44 b(the)g(same)g(a)m(v)m(erage)h(b)s
11889 (eha)m(viour)f(and)g(the)g(same)g(\015uctuations)g(as)g(real)f(data.)77
11890 b(In)0 2135 y(the)43 b(data,)h(\015uctuations)f(arise)e(from)h(the)g
11891 (quan)m(tum)h(mec)m(hanics)g(of)e(the)i(underlying)f(theory)-8
11892 b(.)73 b(In)0 2244 y(generators,)36 b(Mon)m(te)g(Carlo)e(tec)m(hniques)
11893 j(are)e(used)h(to)e(select)i(all)d(relev)-5 b(an)m(t)35
11894 b(v)-5 b(ariables)33 b(according)i(to)0 2352 y(the)g(desired)f
11895 (probabilit)m(y)e(distributions,)h(and)i(thereb)m(y)h(ensure)f
11896 (randomness)g(in)e(the)i(\014nal)e(ev)m(en)m(ts.)0 2460
11897 y(Clearly)e(some)h(loss)g(of)g(information)d(is)j(en)m(tailed:)42
11898 b(quan)m(tum)33 b(mec)m(hanics)f(is)g(based)h(on)f(amplitudes,)0
11899 2569 y(not)j(probabilities.)48 b(Ho)m(w)m(ev)m(er,)39
11900 b(only)34 b(v)m(ery)j(rarely)e(do)g(\(kno)m(wn\))h(in)m(terference)g
11901 (phenomena)g(app)s(ear)0 2677 y(that)e(cannot)h(b)s(e)g(cast)g(in)f(a)g
11902 (probabilistic)e(language.)48 b(This)35 b(is)f(therefore)h(not)g(a)f
11903 (more)g(restraining)0 2785 y(appro)m(ximation)c(than)j(man)m(y)g
11904 (others.)146 2894 y(Once)41 b(there,)h(an)e(ev)m(en)m(t)i(generator)d
11905 (can)i(b)s(e)f(used)h(in)e(man)m(y)g(di\013eren)m(t)h(w)m(a)m(ys.)67
11906 b(The)41 b(\014v)m(e)g(main)0 3002 y(applications)30
11907 b(are)j(probably)f(the)h(follo)m(wing:)145 3115 y Fn(\017)49
11908 b Fw(T)-8 b(o)30 b(giv)m(e)h(ph)m(ysicists)h(a)e(feeling)f(for)h(the)h
11909 (kind)g(of)f(ev)m(en)m(ts)i(one)f(ma)m(y)g(exp)s(ect/hop)s(e)h(to)e
11910 (\014nd,)h(and)244 3224 y(at)h(what)h(rates.)145 3341
11911 y Fn(\017)49 b Fw(As)36 b(a)g(help)f(in)g(the)i(planning)d(of)h(a)h
11912 (new)h(detector,)g(so)f(that)g(detector)g(p)s(erformance)g(is)f(opti-)
11913 244 3450 y(mized,)d(within)f(other)i(constrain)m(ts,)g(for)f(the)h
11914 (study)h(of)e(in)m(teresting)g(ph)m(ysics)i(scenarios.)145
11915 3568 y Fn(\017)49 b Fw(As)38 b(a)g(to)s(ol)e(for)h(devising)g(the)h
11916 (analysis)f(strategies)h(that)g(should)f(b)s(e)h(used)h(on)f(real)f
11917 (data,)h(so)244 3676 y(that)32 b(signal-to-bac)m(kground)f(conditions)h
11918 (are)g(optimized.)145 3794 y Fn(\017)49 b Fw(As)30 b(a)g(metho)s(d)f
11919 (for)g(estimating)e(detector)k(acceptance)g(corrections)f(that)f(ha)m
11920 (v)m(e)i(to)f(b)s(e)g(applied)244 3902 y(to)i(ra)m(w)h(data,)f(in)g
11921 (order)h(to)f(extract)h(the)g(`true')h(ph)m(ysics)g(signal.)145
11922 4020 y Fn(\017)49 b Fw(As)40 b(a)f(con)m(v)m(enien)m(t)j(framew)m(ork)d
11923 (within)g(whic)m(h)h(to)f(in)m(terpret)h(the)g(observ)m(ed)h(phenomena)
11924 f(in)244 4128 y(terms)32 b(of)g(a)h(more)f(fundamen)m(tal)f(underlying)
11925 h(theory)i(\(usually)d(the)i(Standard)g(Mo)s(del\).)146
11926 4241 y(Where)k(do)s(es)e(a)g(generator)h(\014t)f(in)m(to)g(the)g(o)m(v)
11927 m(erall)g(analysis)f(c)m(hain)i(of)f(an)g(exp)s(erimen)m(t?)52
11928 b(In)35 b(`real)0 4350 y(life',)30 b(the)j(mac)m(hine)e(pro)s(duces)i
11929 (in)m(teractions.)42 b(These)34 b(ev)m(en)m(ts)g(are)e(observ)m(ed)h(b)
11930 m(y)g(detectors,)g(and)f(the)0 4458 y(in)m(teresting)26
11931 b(ones)i(are)f(written)f(to)h(tap)s(e)f(b)m(y)i(the)f(data)f
11932 (acquisition)f(system.)43 b(Afterw)m(ards)28 b(the)f(ev)m(en)m(ts)0
11933 4566 y(ma)m(y)32 b(b)s(e)h(reconstructed,)i(i.e.)43 b(the)34
11934 b(electronics)e(signals)g(\(from)f(wire)i(c)m(ham)m(b)s(ers,)g
11935 (calorimeters,)e(and)0 4675 y(all)h(the)j(rest\))h(ma)m(y)e(b)s(e)h
11936 (translated)f(in)m(to)g(a)g(deduced)i(setup)g(of)e(c)m(harged)h(trac)m
11937 (ks)h(or)e(neutral)g(energy)0 4783 y(dep)s(ositions,)39
11938 b(in)e(the)i(b)s(est)g(of)f(w)m(orlds)g(with)g(full)e(kno)m(wledge)j
11939 (of)f(momen)m(ta)f(and)h(particle)f(sp)s(ecies.)0 4891
11940 y(Based)32 b(on)f(this)g(cleaned-up)h(information,)c(one)k(ma)m(y)f
11941 (pro)s(ceed)h(with)f(the)g(ph)m(ysics)i(analysis.)42
11942 b(In)32 b(the)0 5000 y(Mon)m(te)39 b(Carlo)d(w)m(orld,)j(the)g(r^)-49
11943 b(ole)37 b(of)g(the)h(mac)m(hine,)h(namely)e(to)g(pro)s(duce)i(ev)m(en)
11944 m(ts,)i(is)d(tak)m(en)g(b)m(y)h(the)0 5108 y(ev)m(en)m(t)30
11945 b(generators)e(describ)s(ed)g(in)f(this)g(rep)s(ort.)42
11946 b(The)29 b(b)s(eha)m(viour)e(of)h(the)g(detectors)h(|)e(ho)m(w)h
11947 (particles)0 5216 y(pro)s(duced)38 b(b)m(y)g(the)g(ev)m(en)m(t)h
11948 (generator)e(tra)m(v)m(erse)i(the)e(detector,)i(spiral)d(in)g(magnetic)
11949 g(\014elds,)j(sho)m(w)m(er)0 5325 y(in)g(calorimeters,)i(or)f(sneak)h
11950 (out)f(through)g(crac)m(ks,)k(etc.)67 b(|)40 b(is)f(sim)m(ulated)g(in)g
11951 (programs)h(suc)m(h)h(as)0 5433 y Fm(Geant)i Fw([Bru89].)76
11952 b(T)-8 b(raditionally)g(,)43 b(this)h(latter)e(activit)m(y)h(is)g
11953 (called)g(ev)m(en)m(t)i(sim)m(ulation,)f(whic)m(h)g(is)0
11954 5541 y(somewhat)32 b(unfortunate)h(since)f(the)h(same)f(w)m(ords)h
11955 (could)f(equally)f(w)m(ell)h(b)s(e)g(applied)f(to)h(what,)h(here,)0
11956 5650 y(w)m(e)41 b(call)c(ev)m(en)m(t)42 b(generation.)63
11957 b(A)40 b(more)f(appropriate)f(term)h(is)g(detector)h(sim)m(ulation.)62
11958 b(Ideally)-8 b(,)40 b(the)1865 5953 y(2)p eop
11959 %%Page: 3 9
11960 3 8 bop 0 -18 a Fw(output)38 b(of)f(this)h(sim)m(ulation)d(has)j
11961 (exactly)g(the)g(same)g(format)e(as)i(the)g(real)f(data)h(recorded)g(b)
11962 m(y)h(the)0 90 y(detector,)45 b(and)d(can)f(therefore)i(b)s(e)f(put)f
11963 (through)h(the)g(same)g(ev)m(en)m(t)h(reconstruction)f(and)g(ph)m
11964 (ysics)0 198 y(analysis)35 b(c)m(hain,)i(except)g(that)f(here)h(w)m(e)f
11965 (kno)m(w)h(what)g(the)f(`righ)m(t)f(answ)m(er')i(should)f(b)s(e,)h(and)
11966 f(so)g(can)0 307 y(see)e(ho)m(w)f(w)m(ell)f(w)m(e)h(are)g(doing.)146
11967 415 y(Since)49 b(the)h(full)d(c)m(hain)h(of)h(detector)g(sim)m(ulation)
11968 e(and)h(ev)m(en)m(t)j(reconstruction)f(is)e(v)m(ery)i(time-)0
11969 523 y(consuming,)f(one)e(often)f(do)s(es)h(`quic)m(k)g(and)g(dirt)m(y')
11970 f(studies)h(in)e(whic)m(h)i(these)h(steps)f(are)g(skipp)s(ed)0
11971 632 y(en)m(tirely)-8 b(,)37 b(or)e(at)h(least)g(replaced)g(b)m(y)h(v)m
11972 (ery)h(simpli\014ed)c(pro)s(cedures)j(whic)m(h)g(only)e(tak)m(e)i(in)m
11973 (to)f(accoun)m(t)0 740 y(the)d(geometric)f(acceptance)i(of)f(the)g
11974 (detector)g(and)g(other)g(trivial)e(e\013ects.)45 b(One)33
11975 b(ma)m(y)g(then)g(use)h(the)0 848 y(output)f(of)f(the)h(ev)m(en)m(t)h
11976 (generator)f(directly)f(in)g(the)h(ph)m(ysics)h(studies.)146
11977 957 y(There)42 b(are)f(still)e(man)m(y)i(holes)g(in)f(our)h
11978 (understanding)g(of)f(the)i(full)d(ev)m(en)m(t)k(structure,)h(despite)0
11979 1065 y(an)f(impressiv)m(e)g(amoun)m(t)g(of)g(w)m(ork)h(and)f(detailed)g
11980 (calculations.)73 b(T)-8 b(o)44 b(put)f(together)h(a)e(generator)0
11981 1173 y(therefore)c(in)m(v)m(olv)m(ed)g(making)e(a)h(c)m(hoice)h(on)f
11982 (what)h(to)f(include,)h(and)f(ho)m(w)h(to)f(include)g(it.)57
11983 b(A)m(t)38 b(b)s(est,)0 1282 y(the)f(spread)g(b)s(et)m(w)m(een)h
11984 (generators)f(can)f(b)s(e)h(used)g(to)f(giv)m(e)g(some)g(impression)f
11985 (of)h(the)g(uncertain)m(ties)0 1390 y(in)m(v)m(olv)m(ed.)42
11986 b(A)28 b(m)m(ultitude)f(of)g(appro)m(ximations)f(will)g(b)s(e)i
11987 (discussed)h(in)f(the)g(main)e(part)i(of)f(this)h(rep)s(ort,)0
11988 1498 y(but)36 b(already)f(here)h(is)f(should)h(b)s(e)f(noted)h(that)g
11989 (man)m(y)f(ma)5 b(jor)34 b(appro)m(ximations)g(are)i(related)f(to)g
11990 (the)0 1607 y(almost)h(complete)g(neglect)i(of)f(the)h(second)g(p)s
11991 (oin)m(t)f(ab)s(o)m(v)m(e,)i(i.e.)58 b(of)37 b(the)h(non-`trivial')c
11992 (higher-order)0 1715 y(e\013ects.)43 b(It)28 b(can)g(therefore)g(only)f
11993 (b)s(e)g(hop)s(ed)h(that)g(the)g(`trivial')d(higher)i(order)g(parts)h
11994 (giv)m(e)g(the)g(bulk)f(of)0 1823 y(the)f(exp)s(erimen)m(tal)f(b)s(eha)
11995 m(viour.)41 b(By)27 b(and)e(large,)i(this)e(seems)i(to)e(b)s(e)h(the)g
11996 (case;)j(for)d(e)3083 1787 y Fl(+)3142 1823 y Fw(e)3185
11997 1787 y Fk(\000)3270 1823 y Fw(annihilation)0 1932 y(it)32
11998 b(ev)m(en)i(turns)f(out)f(to)h(b)s(e)f(a)h(v)m(ery)h(go)s(o)s(d)d
11999 (appro)m(ximation.)146 2040 y(The)h(necessit)m(y)h(to)d(mak)m(e)h
12000 (compromises)f(has)h(one)g(ma)5 b(jor)30 b(implication:)38
12001 b(to)31 b(write)f(a)h(go)s(o)s(d)f(ev)m(en)m(t)0 2148
12002 y(generator)42 b(is)g(an)h(art,)h(not)e(an)h(exact)g(science.)74
12003 b(It)43 b(is)f(therefore)h(essen)m(tial)f(not)g(to)g(blindly)f(trust)0
12004 2257 y(the)j(results)f(of)g(an)m(y)h(single)e(ev)m(en)m(t)j(generator,)
12005 i(but)c(alw)m(a)m(ys)h(to)f(mak)m(e)g(sev)m(eral)h(cross-c)m(hec)m(ks.)
12006 79 b(In)0 2365 y(addition,)23 b(with)f(computer)g(programs)g(of)g(tens)
12007 h(of)f(thousands)i(of)e(lines,)i(the)f(question)g(is)f(not)g(whether)0
12008 2473 y(bugs)37 b(exist,)h(but)f(ho)m(w)g(man)m(y)g(there)g(are,)g(and)g
12009 (ho)m(w)g(critical)d(their)i(p)s(ositions.)55 b(F)-8
12010 b(urther,)37 b(an)g(ev)m(en)m(t)0 2582 y(generator)f(cannot)f(b)s(e)h
12011 (though)m(t)g(of)f(as)h(all-p)s(o)m(w)m(erful,)e(or)i(able)f(to)g(giv)m
12012 (e)h(in)m(telligen)m(t)d(answ)m(ers)k(to)f(ill-)0 2690
12013 y(p)s(osed)g(questions;)h(sound)f(judgemen)m(t)g(and)f(some)g
12014 (understanding)h(of)f(a)g(generator)g(are)g(necessary)0
12015 2798 y(prerequisites)28 b(for)e(successful)i(use.)43
12016 b(In)27 b(spite)g(of)f(these)i(limitations,)c(the)j(ev)m(en)m(t)h
12017 (generator)f(approac)m(h)0 2907 y(is)48 b(the)h(most)g(p)s(o)m(w)m
12018 (erful)f(to)s(ol)f(at)i(our)g(disp)s(osal)e(if)h(w)m(e)h(wish)g(to)g
12019 (gain)e(a)i(detailed)f(and)g(realistic)0 3015 y(understanding)33
12020 b(of)f(ph)m(ysics)i(at)e(curren)m(t)i(or)e(future)h(high-energy)g
12021 (colliders.)0 3263 y Fo(The)38 b(Origins)e(of)h(the)h(JETSET)e(and)j
12022 (PYTHIA)c(Programs)0 3436 y Fw(Ov)m(er)42 b(the)f(y)m(ears,)k(man)m(y)c
12023 (ev)m(en)m(t)i(generators)e(ha)m(v)m(e)i(app)s(eared.)69
12024 b(Surv)m(eys)43 b(of)e(generators)g(for)g(e)3618 3399
12025 y Fl(+)3677 3436 y Fw(e)3720 3399 y Fk(\000)0 3544 y
12026 Fw(ph)m(ysics)33 b(in)e(general)h(and)f(LEP)i(in)e(particular)f(ma)m(y)
12027 h(b)s(e)h(found)g(in)f([Kle89)o(,)h(Sj\177)-49 b(o89)o(],)32
12028 b(for)g(high-energy)0 3652 y(hadron{hadron)c(\(pp\))g(ph)m(ysics)h(in)e
12029 ([Ans90)q(,)h(Sj\177)-49 b(o92)o(,)28 b(Kno93)o(],)h(and)f(for)f(ep)i
12030 (ph)m(ysics)g(in)e([HER92].)42 b(W)-8 b(e)0 3761 y(refer)37
12031 b(the)h(reader)g(to)e(those)i(for)f(additional)d(details)i(and)h
12032 (references.)59 b(In)38 b(this)e(particular)g(rep)s(ort,)0
12033 3869 y(the)d(t)m(w)m(o)g(closely)f(connected)j(programs)c
12034 Fm(Jetset)h Fw(and)h Fm(Pythia)f Fw(will)e(b)s(e)j(describ)s(ed.)146
12035 3977 y Fm(Jetset)k Fw(has)i(its)e(ro)s(ots)h(in)f(the)h(e\013orts)h(of)
12036 e(the)i(Lund)f(group)g(to)g(understand)h(the)g(hadroniza-)0
12037 4086 y(tion)g(pro)s(cess,)k(starting)c(in)h(the)g(late)f(sev)m(en)m
12038 (ties)j([And83)q(].)65 b(The)41 b(so-called)e(string)g(fragmen)m
12039 (tation)0 4194 y(mo)s(del)30 b(w)m(as)j(dev)m(elop)s(ed)f(as)g(an)g
12040 (explicit)e(and)i(detailed)f(framew)m(ork,)h(within)f(whic)m(h)h(the)g
12041 (long-range)0 4302 y(con\014nemen)m(t)i(forces)h(are)e(allo)m(w)m(ed)g
12042 (to)g(distribute)f(the)i(energies)g(and)g(\015a)m(v)m(ours)g(of)f(a)h
12043 (parton)f(con\014g-)0 4411 y(uration)k(among)h(a)g(collection)f(of)h
12044 (primary)f(hadrons,)k(whic)m(h)e(subsequen)m(tly)j(ma)m(y)c(deca)m(y)i
12045 (further.)0 4519 y(This)31 b(mo)s(del,)f(kno)m(wn)j(as)e(the)h(Lund)g
12046 (string)f(mo)s(del,)e(or)i(`Lund')h(for)f(short,)h(con)m(tained)f(a)g
12047 (n)m(um)m(b)s(er)h(of)0 4627 y(sp)s(eci\014c)39 b(predictions,)h(whic)m
12048 (h)f(w)m(ere)h(con\014rmed)f(b)m(y)h(data)e(from)f(PETRA)j(and)f(PEP)-8
12049 b(,)40 b(whence)g(the)0 4736 y(mo)s(del)e(gained)h(a)g(widespread)h
12050 (acceptance.)66 b(The)41 b(Lund)f(string)f(mo)s(del)e(is)i(still)f(to)s
12051 (da)m(y)h(the)h(most)0 4844 y(elab)s(orate)34 b(and)h(widely)f(used)i
12052 (fragmen)m(tation)d(mo)s(del)h(at)g(our)h(disp)s(osal.)49
12053 b(It)35 b(remains)f(at)h(the)g(heart)0 4952 y(of)d(the)h
12054 Fm(Jetset/Pythia)f Fw(programs.)146 5061 y(In)22 b(order)g(to)g
12055 (predict)g(the)g(shap)s(e)g(of)g(ev)m(en)m(ts)i(at)d(PETRA/PEP)-8
12056 b(,)24 b(and)e(to)f(study)i(the)f(fragmen)m(tation)0
12057 5169 y(pro)s(cess)48 b(in)f(detail,)i(it)d(w)m(as)i(necessary)i(to)d
12058 (start)g(out)g(from)f(the)i(partonic)e(con\014gurations)h(that)0
12059 5277 y(w)m(ere)31 b(to)f(fragmen)m(t.)42 b(The)31 b(generation)f(of)g
12060 (complete)f(e)2022 5241 y Fl(+)2081 5277 y Fw(e)2124
12061 5241 y Fk(\000)2214 5277 y Fw(hadronic)g(ev)m(en)m(ts)k(w)m(as)e
12062 (therefore)g(added,)0 5386 y(originally)19 b(based)k(on)f(simple)f
12063 Fj(\015)28 b Fw(exc)m(hange)c(and)e(\014rst-order)h(QCD)f(matrix)f
12064 (elemen)m(ts,)k(later)c(extended)0 5494 y(to)28 b(full)e
12065 Fj(\015)337 5458 y Fk(\003)376 5494 y Fj(=)p Fw(Z)485
12066 5458 y Fl(0)552 5494 y Fw(exc)m(hange)k(with)e(\014rst-order)g
12067 (initial-state)d(QED)i(radiation)f(and)j(second-order)g(QCD)0
12068 5602 y(matrix)f(elemen)m(ts.)43 b(A)30 b(n)m(um)m(b)s(er)g(of)f(utilit)
12069 m(y)f(routines)i(w)m(ere)h(also)d(pro)m(vided)j(early)e(on,)h(for)f(ev)
12070 m(erything)1865 5953 y(3)p eop
12071 %%Page: 4 10
12072 4 9 bop 0 -18 a Fw(from)31 b(ev)m(en)m(t)k(listing)30
12073 b(to)i(jet)h(\014nding.)146 90 y(By)41 b(the)g(mid-eigh)m(ties)d(it)h
12074 (w)m(as)i(clear)f(that)g(the)g(matrix-elemen)m(t)e(approac)m(h)j(had)f
12075 (reac)m(hed)i(the)0 198 y(limit)21 b(of)j(its)g(usefulness,)j(in)d(the)
12076 h(sense)h(that)e(it)f(could)h(not)h(fully)e(describ)s(e)i(the)f(m)m
12077 (ultijet)f(top)s(ologies)f(of)0 307 y(the)30 b(data.)42
12078 b(\(Later)29 b(on,)h(the)g(use)h(of)e(optimized)e(p)s(erturbation)i
12079 (theory)h(w)m(as)g(to)g(lead)e(to)h(a)h(resurgence)0
12080 415 y(of)35 b(the)h(matrix-elemen)m(t)d(approac)m(h,)k(but)f(only)f
12081 (for)g(sp)s(eci\014c)h(applications.\))50 b(Therefore)37
12082 b(a)e(parton-)0 523 y(sho)m(w)m(er)j(description)e(w)m(as)h(dev)m(elop)
12083 s(ed)g([Ben87a])f(as)g(an)g(alternativ)m(e)g(to)g(the)g(matrix-elemen)m
12084 (t)e(one.)0 632 y(The)42 b(com)m(bination)c(of)i(parton)g(sho)m(w)m
12085 (ers)j(and)e(string)f(fragmen)m(tation)e(has)j(b)s(een)h(v)m(ery)g
12086 (successful,)0 740 y(and)33 b(forms)e(the)i(main)e(approac)m(h)i(to)g
12087 (the)g(description)f(of)g(hadronic)g(Z)2649 704 y Fl(0)2720
12088 740 y Fw(ev)m(en)m(ts.)146 848 y(In)e(recen)m(t)g(y)m(ears,)h
12089 Fm(Jetset)d Fw(has)h(b)s(een)h(a)f(fairly)e(stable)h(pro)s(duct,)i(co)m
12090 (v)m(ering)g(the)f(four)g(main)e(areas)0 957 y(of)32
12091 b(fragmen)m(tation,)f(\014nal-state)h(parton)g(sho)m(w)m(ers,)j(e)1966
12092 920 y Fl(+)2025 957 y Fw(e)2068 920 y Fk(\000)2160 957
12093 y Fw(ev)m(en)m(t)g(generation)c(and)i(general)f(utilities.)146
12094 1065 y(The)e(successes)h(of)d(string)g(fragmen)m(tation)e(in)i(e)1909
12095 1029 y Fl(+)1968 1065 y Fw(e)2011 1029 y Fk(\000)2099
12096 1065 y Fw(made)f(it)h(in)m(teresting)g(to)g(try)g(to)g(extend)i(this)0
12097 1173 y(framew)m(ork)43 b(to)g(other)g(pro)s(cesses,)k(and)d(explore)f
12098 (p)s(ossible)f(ph)m(ysics)i(consequences.)79 b(Therefore)44
12099 b(a)0 1282 y(n)m(um)m(b)s(er)31 b(of)g(other)g(programs)f(w)m(ere)j
12100 (written,)e(whic)m(h)g(com)m(bined)g(a)g(pro)s(cess-sp)s(eci\014c)h
12101 (description)f(of)0 1390 y(the)e(hard)f(in)m(teractions)f(with)h(the)h
12102 (general)e(fragmen)m(tation)f(framew)m(ork)j(of)34 b
12103 Fm(Jetset)p Fw(.)41 b(The)29 b Fm(Pythia)0 1498 y Fw(program)34
12104 b(ev)m(olv)m(ed)i(out)f(of)g(early)f(studies)i(on)f(\014xed-target)g
12105 (proton{proton)g(pro)s(cesses,)j(addressed)0 1607 y(mainly)30
12106 b(at)j(issues)g(related)f(to)h(string)f(dra)m(wing.)146
12107 1715 y(With)37 b(time,)h(the)f(in)m(terest)h(shifted)g(to)m(w)m(ards)g
12108 (higher)f(energies,)j(\014rst)e(to)f(the)h(SPS)g(p)p
12109 3352 1662 55 4 v(p)g(collider,)0 1823 y(and)j(later)f(to)h(SSC)h(and)g
12110 (LHC,)f(in)g(the)g(con)m(text)i(of)d(a)h(n)m(um)m(b)s(er)h(of)f(w)m
12111 (orkshops)i(in)d(the)i(USA)f(and)0 1932 y(Europ)s(e.)g(P)m(arton)25
12112 b(sho)m(w)m(ers)h(w)m(ere)g(added,)h(for)c(\014nal-state)h(radiation)e
12113 (b)m(y)j(making)e(use)i(of)f(the)h Fm(Jetset)0 2040 y
12114 Fw(routine,)32 b(for)h(initial-state)c(one)k(b)m(y)h(the)f(dev)m
12115 (elopmen)m(t)h(of)e(the)i(concept)g(of)e(`bac)m(kw)m(ards)j(ev)m
12116 (olution',)0 2148 y(sp)s(eci\014cally)g(for)g Fm(Pythia)g
12117 Fw([Sj\177)-49 b(o85].)52 b(Also)35 b(a)g(framew)m(ork)h(w)m(as)h(dev)m
12118 (elop)s(ed)f(for)f(minim)m(um-bias)c(and)0 2257 y(underlying)h(ev)m(en)
12119 m(ts)j([Sj\177)-49 b(o87a)o(].)146 2365 y(Another)30
12120 b(main)d(c)m(hange)j(w)m(as)g(the)g(in)m(tro)s(duction)e(of)h(an)g
12121 (increasing)f(n)m(um)m(b)s(er)h(of)g(hard)g(pro)s(cesses,)0
12122 2473 y(within)38 b(the)h(Standard)f(Mo)s(del)h(and)f(b)s(ey)m(ond.)63
12123 b(A)39 b(sp)s(ecial)e(emphasis)i(w)m(as)h(put)e(on)h(the)g(searc)m(h)h
12124 (for)0 2582 y(the)e(Standard)g(Mo)s(del)f(Higgs,)i(in)e(di\013eren)m(t)
12125 h(mass)f(ranges)i(and)e(in)g(di\013eren)m(t)h(c)m(hannels,)i(with)e
12126 (due)0 2690 y(resp)s(ect)c(to)e(p)s(ossible)g(bac)m(kground)i(pro)s
12127 (cesses.)146 2798 y(The)26 b(bulk)f(of)f(the)i(mac)m(hinery)f(dev)m
12128 (elop)s(ed)g(for)g(hard)g(pro)s(cesses)i(actually)c(dep)s(ended)k
12129 (little)22 b(on)j(the)0 2907 y(c)m(hoice)36 b(of)f(initial)d(state,)37
12130 b(as)e(long)g(as)h(the)g(appropriate)e(parton)i(distributions)e(w)m
12131 (ere)j(there)f(for)f(the)0 3015 y(incoming)23 b(partons)j(and)f
12132 (particles.)40 b(It)26 b(therefore)g(made)f(sense)i(to)e(extend)h(the)g
12133 (program)e(from)g(b)s(eing)0 3123 y(only)30 b(a)h(pp)g(generator)f(to)h
12134 (w)m(orking)f(also)g(for)g(e)1730 3087 y Fl(+)1789 3123
12135 y Fw(e)1832 3087 y Fk(\000)1922 3123 y Fw(and)h(ep.)44
12136 b(This)30 b(pro)s(cess)i(w)m(as)g(only)e(completed)g(in)0
12137 3232 y(1991,)24 b(again)e(spurred)j(on)e(b)m(y)h(ph)m(ysics)h(w)m
12138 (orkshop)g(activities.)39 b(Curren)m(tly)25 b Fm(Pythia)f
12139 Fw(should)f(therefore)0 3340 y(w)m(ork)33 b(equally)f(w)m(ell)g(for)g
12140 (a)h(selection)f(of)g(di\013eren)m(t)h(p)s(ossible)f(incoming)e(b)s
12141 (eam)i(particles.)146 3448 y(The)48 b(tasks)g(of)e(including)f(new)j
12142 (pro)s(cesses,)53 b(and)47 b(of)f(impro)m(ving)f(the)i(sim)m(ulation)e
12143 (of)h(already)0 3557 y(presen)m(t)34 b(ones,)g(are)e(nev)m(er-ending.)
12144 45 b(W)-8 b(ork)32 b(therefore)i(con)m(tin)m(ues)f(apace.)146
12145 3665 y(While)38 b Fm(Jetset)g Fw(still)f(is)i(formally)d(indep)s(enden)
12146 m(t)41 b(of)k Fm(Pythia)p Fw(,)c(their)e(ties)g(ha)m(v)m(e)h(gro)m(wn)g
12147 (m)m(uc)m(h)0 3774 y(stronger)33 b(o)m(v)m(er)h(the)f(y)m(ears,)g(and)g
12148 (the)g(b)s(order-line)e(b)s(et)m(w)m(een)k(the)e(t)m(w)m(o)g(programs)f
12149 (has)h(b)s(ecome)f(more)0 3882 y(and)40 b(more)g(arti\014cial.)63
12150 b(It)40 b(is)g(no)g(coincidence)h(that)f(the)g(t)m(w)m(o)h(are)f
12151 (presen)m(ted)j(together)d(here;)45 b(this)0 3990 y(w)m(a)m(y)35
12152 b(a)e(lot)g(of)g(rep)s(etition)f(of)h(common)g(material)d(can)k(b)s(e)g
12153 (a)m(v)m(oided.)47 b(The)35 b(price)e(to)h(b)s(e)g(paid)f(is)g(that)0
12154 4099 y(some)f(di\013erences)i(in)e(philosoph)m(y)g(will)f(ha)m(v)m(e)i
12155 (to)g(b)s(e)f(discussed.)0 4346 y Fo(Ab)s(out)37 b(this)g(Rep)s(ort)0
12156 4519 y Fw(As)28 b(w)m(e)h(see,)h Fm(Jetset)c Fw(and)i
12157 Fm(Pythia)g Fw(started)g(out)f(as)h(v)m(ery)h(ideologically)24
12158 b(motiv)-5 b(ated)26 b(programs,)h(de-)0 4627 y(v)m(elop)s(ed)g(to)g
12159 (study)h(sp)s(eci\014c)f(ph)m(ysics)h(questions)g(in)e(enough)h(detail)
12160 f(that)g(explicit)g(predictions)g(could)0 4736 y(b)s(e)38
12161 b(made)g(for)f(exp)s(erimen)m(tal)g(quan)m(tities.)60
12162 b(As)39 b(it)e(w)m(as)i(recognized)f(that)g(exp)s(erimen)m(tal)f(imp)s
12163 (erfec-)0 4844 y(tions)26 b(could)g(distort)g(the)h(basic)f
12164 (predictions,)i(the)f(programs)e(w)m(ere)j(made)e(a)m(v)-5
12165 b(ailable)24 b(for)j(general)e(use)0 4952 y(b)m(y)39
12166 b(exp)s(erimen)m(talists.)61 b(It)38 b(th)m(us)i(b)s(ecame)e(feasible)g
12167 (to)g(explore)h(the)g(mo)s(dels)e(in)h(more)g(detail)e(than)0
12168 5061 y(w)m(ould)e(otherwise)h(ha)m(v)m(e)h(b)s(een)f(p)s(ossible.)48
12169 b(As)34 b(time)f(w)m(en)m(t)j(b)m(y)-8 b(,)36 b(the)e(emphasis)g(came)g
12170 (to)g(shift)g(some-)0 5169 y(what,)28 b(a)m(w)m(a)m(y)g(from)e(the)h
12171 (original)d(strong)j(coupling)e(to)i(a)f(sp)s(eci\014c)i(fragmen)m
12172 (tation)c(mo)s(del,)j(to)m(w)m(ards)h(a)0 5277 y(description)c(of)g
12173 (high-energy)g(m)m(ultiparticle)d(pro)s(duction)j(pro)s(cesses)i(in)e
12174 (general.)40 b(Corresp)s(ondingly)-8 b(,)0 5386 y(the)32
12175 b(use)g(expanded)i(from)c(b)s(eing)h(one)h(of)f(just)h(comparing)d
12176 (data)j(with)f(sp)s(eci\014c)h(mo)s(del)e(predictions,)0
12177 5494 y(to)43 b(one)g(of)g(extensiv)m(e)i(use)g(for)d(the)i
12178 (understanding)g(of)f(detector)h(p)s(erformance,)h(for)e(the)h(deriv)-5
12179 b(a-)0 5602 y(tion)35 b(of)h(acceptance)i(correction)d(factors,)j(for)d
12180 (the)i(prediction)e(of)h(ph)m(ysics)h(at)f(future)h(high-energy)1865
12181 5953 y(4)p eop
12182 %%Page: 5 11
12183 5 10 bop 0 -18 a Fw(accelerators,)33 b(and)f(for)g(the)h(design)g(of)f
12184 (related)g(detectors.)146 90 y(While)h(the)i(ideology)d(ma)m(y)i(b)s(e)
12185 g(less)h(apparen)m(t,)g(it)e(is)g(still)f(there,)j(ho)m(w)m(ev)m(er.)50
12186 b(This)35 b(is)e(not)h(some-)0 198 y(thing)h(unique)h(to)g(the)g
12187 (programs)f(discussed)i(here,)g(but)g(inheren)m(t)f(in)f(an)m(y)h(ev)m
12188 (en)m(t)i(generator,)e(or)g(at)0 307 y(least)d(an)m(y)h(generator)f
12189 (that)g(attempts)g(to)f(go)h(b)s(ey)m(ond)h(the)g(simple)e(parton)h
12190 (lev)m(el)f(sk)m(eleton)i(descrip-)0 415 y(tion)c(of)h(a)g(hard)h(pro)s
12191 (cess.)44 b(Do)31 b(not)g(accept)i(the)e(m)m(yth)h(that)f(ev)m
12192 (erything)i(a)m(v)-5 b(ailable)29 b(in)h(Mon)m(te)i(Carlo)0
12193 523 y(form)45 b(represen)m(ts)j(ages-old)c(common)h(kno)m(wledge,)50
12194 b(tested)d(and)f(true.)83 b(Ideology)46 b(is)f(presen)m(t)j(b)m(y)0
12195 632 y(commissions)33 b(or)i(omissions)f(in)g(an)m(y)i(n)m(um)m(b)s(er)f
12196 (of)g(details.)50 b(Programs)34 b(lik)m(e)g Fm(Pythia)h
12197 Fw(and)h Fm(Jetset)0 740 y Fw(represen)m(t)d(a)d(ma)5
12198 b(jor)30 b(amoun)m(t)g(of)g(original)d(ph)m(ysics)33
12199 b(researc)m(h,)f(often)f(on)g(complicated)e(topics)h(where)0
12200 848 y(no)e(simple)f(answ)m(ers)j(are)e(a)m(v)-5 b(ailable.)39
12201 b(As)29 b(a)f(\(p)s(oten)m(tial\))e(program)h(user)i(y)m(ou)g(m)m(ust)f
12202 (b)s(e)g(a)m(w)m(are)h(of)f(this,)0 957 y(so)39 b(that)g(y)m(ou)h(can)g
12203 (form)e(y)m(our)i(o)m(wn)f(opinion,)h(not)f(just)g(ab)s(out)g(what)g
12204 (to)g(trust)h(and)f(what)h(not)f(to)0 1065 y(trust,)k(but)e(also)f(ho)m
12205 (w)h(m)m(uc)m(h)g(to)g(trust)g(a)f(giv)m(en)h(prediction,)h(i.e.)67
12206 b(ho)m(w)41 b(uncertain)g(it)e(is)h(lik)m(ely)g(to)0
12207 1173 y(b)s(e.)j Fm(Jetset)30 b Fw(and)g Fm(Pythia)h Fw(are)g
12208 (particularly)d(w)m(ell)i(endo)m(w)m(ed)i(in)e(this)g(resp)s(ect,)j
12209 (since)e(a)f(n)m(um)m(b)s(er)h(of)0 1282 y(publications)i(exist)i
12210 (where)i(most)d(of)g(the)i(relev)-5 b(an)m(t)35 b(ph)m(ysics)h(is)f
12211 (explained)f(in)g(considerable)h(detail.)0 1390 y(In)f(fact,)f(the)h
12212 (problem)e(ma)m(y)h(rather)g(b)s(e)g(the)h(opp)s(osite,)f(to)g(\014nd)h
12213 (the)f(relev)-5 b(an)m(t)34 b(information)c(among)0 1498
12214 y(all)37 b(the)j(p)s(ossible)f(places.)64 b(One)39 b(main)f(ob)5
12215 b(jectiv)m(e)40 b(of)f(the)h(curren)m(t)h(rep)s(ort)e(is)g(therefore)h
12216 (to)f(collect)0 1607 y(m)m(uc)m(h)h(of)g(this)f(information)e(in)i(one)
12217 h(single)f(place.)65 b(Not)40 b(all)e(the)i(material)d(found)j(in)f(sp)
12218 s(ecialized)0 1715 y(pap)s(ers)k(is)g(repro)s(duced,)j(b)m(y)e(a)e
12219 (wide)h(margin,)g(but)g(at)g(least)f(enough)h(should)g(b)s(e)f(found)h
12220 (here)h(to)0 1823 y(understand)34 b(the)f(general)f(picture)h(and)f(to)
12221 g(kno)m(w)i(where)g(to)e(go)g(for)g(details.)146 1932
12222 y(The)41 b(curren)m(t)g(rep)s(ort)f(is)f(therefore)i(in)m(tended)f(to)g
12223 (replace)f(the)i(previous)f(round)g(of)g(published)0
12224 2040 y(ph)m(ysics)e(descriptions)f(and)g(program)e(man)m(uals)h
12225 ([Sj\177)-49 b(o86,)36 b(Sj\177)-49 b(o87,)37 b(Ben87].)56
12226 b(The)38 b(formal)c(new)k(stan-)0 2148 y(dard)k(reference)h(is)e
12227 ([Sj\177)-49 b(o94],)44 b(whic)m(h)e(is)g(a)f(fairly)f(brief)h(summary)
12228 g(of)h(this)f(rep)s(ort)h(|)f(for)g(ob)m(vious)0 2257
12229 y(reasons)27 b(the)f(full)e(description)h(is)h(to)s(o)f(long)f(to)i(b)s
12230 (e)g(published)g(in)f(its)g(en)m(tiret)m(y)-8 b(.)42
12231 b(F)-8 b(urther)26 b(sp)s(eci\014cation)0 2365 y(could)35
12232 b(include)g(a)g(statemen)m(t)h(of)f(the)h(t)m(yp)s(e)h(`W)-8
12233 b(e)36 b(use)g Fm(Pythia)g Fw(v)m(ersion)g(X.x)g(and)f
12234 Fm(Jetset)g Fw(v)m(ersion)0 2473 y(Y.y'.)67 b(\(If)41
12235 b(y)m(ou)g(are)f(a)g(L)893 2451 y Fl(A)931 2473 y Fw(T)985
12236 2495 y(E)1039 2473 y(X)h(fan,)h(y)m(ou)f(ma)m(y)f(w)m(an)m(t)h(to)f
12237 (kno)m(w)h(that)f(the)h(program)e(names)h(in)g(this)0
12238 2582 y(rep)s(ort)29 b(ha)m(v)m(e)i(b)s(een)g(generated)f(b)m(y)g(the)g
12239 (commands)f Fq(\\textsc{Jetset})34 b Fw(and)c Fq(\\textsc{Pythia})p
12240 Fw(.\))0 2690 y(Kindly)h(do)i(not)f(refer)h(to)g Fm(Jetset/Pythia)e
12241 Fw(as)i(`unpublished',)h(`priv)-5 b(ate)32 b(comm)m(unication')e(or)i
12242 (`in)0 2798 y(preparation':)43 b(suc)m(h)34 b(phrases)g(are)e(only)g
12243 (creating)g(unnecessary)k(confusion.)146 2907 y(In)47
12244 b(addition,)i(remem)m(b)s(er)d(that)g(man)m(y)h(of)f(the)h(individual)d
12245 (ph)m(ysics)k(comp)s(onen)m(ts)f(are)g(do)s(cu-)0 3015
12246 y(men)m(ted)40 b(in)e(separate)i(publications.)62 b(If)40
12247 b(some)f(of)g(these)h(con)m(tain)f(ideas)g(that)g(are)g(useful)h(to)f
12248 (y)m(ou,)0 3123 y(there)31 b(is)f(ev)m(ery)j(reason)e(to)f(cite)g
12249 (them.)43 b(A)31 b(reasonable)f(selection)g(w)m(ould)h(v)-5
12250 b(ary)31 b(as)g(a)f(function)g(of)g(the)0 3232 y(ph)m(ysics)j(y)m(ou)g
12251 (are)e(studying.)44 b(The)32 b(criterion)f(for)g(whic)m(h)h(to)f(pic)m
12252 (k)h(should)g(b)s(e)g(simple:)41 b(imagine)30 b(that)0
12253 3340 y(a)c(Mon)m(te)h(Carlo)f(implemen)m(tation)d(had)k(not)f(b)s(een)h
12254 (a)m(v)-5 b(ailable.)39 b(W)-8 b(ould)26 b(y)m(ou)h(then)g(ha)m(v)m(e)h
12255 (cited)e(a)g(giv)m(en)0 3448 y(pap)s(er)35 b(on)f(the)i(grounds)f(of)f
12256 (its)g(ph)m(ysics)i(con)m(ten)m(ts)h(alone?)49 b(If)35
12257 b(so,)g(do)g(not)f(punish)h(the)g(extra)h(e\013ort)0
12258 3557 y(of)i(turning)f(these)j(ideas)e(in)m(to)f(publicly)g(a)m(v)-5
12259 b(ailable)36 b(soft)m(w)m(are.)61 b(\(Mon)m(te)39 b(Carlo)e(man)m(uals)
12260 g(are)i(go)s(o)s(d)0 3665 y(for)f(nothing)f(in)g(the)h(ey)m(es)i(of)e
12261 (man)m(y)g(theorists,)i(so)e(often)g(only)g(the)g(acceptance)i(of)d
12262 (`mainstream')0 3774 y(publications)c(coun)m(ts.\))49
12263 b(Here)35 b(follo)m(ws)e(a)h(list)e(of)i(some)g(main)f(areas)h(where)i
12264 (the)e Fm(Pythia/Jetset)0 3882 y Fw(programs)e(con)m(tain)g(original)d
12265 (researc)m(h:)145 3995 y Fn(\017)49 b Fw(The)33 b(string)f(fragmen)m
12266 (tation)f(mo)s(del)g([And83].)145 4113 y Fn(\017)49 b
12267 Fw(The)33 b(string)f(e\013ect)i([And80].)145 4231 y Fn(\017)49
12268 b Fw(Bary)m(on)33 b(pro)s(duction)f(\(diquark/p)s(op)s(corn\))g
12269 ([And82,)h(And85].)145 4348 y Fn(\017)49 b Fw(F)-8 b(ragmen)m(tation)30
12270 b(of)i(m)m(ultiparton)f(systems)j([Sj\177)-49 b(o84)o(].)145
12271 4466 y Fn(\017)49 b Fw(F)-8 b(ragmen)m(tation)30 b(e\013ects)k(on)f
12272 Fj(\013)1392 4481 y Fl(s)1456 4466 y Fw(determinations)e([Sj\177)-49
12273 b(o84a].)145 4584 y Fn(\017)49 b Fw(Initial)30 b(state)j(parton)f(sho)m
12274 (w)m(ers)j([Sj\177)-49 b(o85)o(].)145 4702 y Fn(\017)49
12275 b Fw(Final)30 b(state)j(parton)g(sho)m(w)m(ers)h([Ben87a].)145
12276 4819 y Fn(\017)49 b Fw(Photon)33 b(radiation)d(from)h(quarks)j([Sj\177)
12277 -49 b(o92c])145 4937 y Fn(\017)49 b Fw(Deep)33 b(inelastic)e
12278 (scattering)h([And81a,)h(Ben88].)145 5055 y Fn(\017)49
12279 b Fw(Photopro)s(duction)32 b([Sc)m(h93a])h(and)g Fj(\015)5
12280 b(\015)37 b Fw(ph)m(ysics)d([Sc)m(h94a)q(].)145 5173
12281 y Fn(\017)49 b Fw(P)m(arton)33 b(distributions)e(of)h(the)h(photon)f
12282 ([Sc)m(h95)q(].)145 5291 y Fn(\017)49 b Fw(Colour)32
12283 b(\015o)m(w)h(in)f(hard)g(scatterings)h([Ben84].)145
12284 5408 y Fn(\017)49 b Fw(Elastic)32 b(and)g(di\013ractiv)m(e)g(cross)i
12285 (sections)f([Sc)m(h94)q(].)145 5526 y Fn(\017)49 b Fw(Minijets)32
12286 b(\(m)m(ultiple)e(parton{parton)i(in)m(teractions\))g([Sj\177)-49
12287 b(o87a)o(].)145 5644 y Fn(\017)49 b Fw(Rapidit)m(y)31
12288 b(gaps)i([Dok92)o(].)1865 5953 y(5)p eop
12289 %%Page: 6 12
12290 6 11 bop 145 -18 a Fn(\017)49 b Fw(Jet)33 b(clustering)f(in)g
12291 Fj(k)1018 -3 y Fk(?)1109 -18 y Fw([Sj\177)-49 b(o83)o(].)146
12292 95 y(In)39 b(addition)e(to)h(a)g(ph)m(ysics)i(surv)m(ey)-8
12293 b(,)42 b(the)d(curren)m(t)h(rep)s(ort)e(also)f(con)m(tains)i(a)f
12294 (complete)g(man)m(ual)0 203 y(for)g(the)h(t)m(w)m(o)g(programs.)60
12295 b(Suc)m(h)39 b(man)m(uals)f(ha)m(v)m(e)h(alw)m(a)m(ys)g(b)s(een)h(up)s
12296 (dated)e(and)h(distributed)f(join)m(tly)0 311 y(with)30
12297 b(the)g(programs.)42 b(T)-8 b(o)30 b(a)g(\014rst)h(appro)m(ximation,)d
12298 (w)m(e)k(therefore)e(do)g(not)g(ha)m(v)m(e)i(m)m(uc)m(h)f(new)g(to)f
12299 (o\013er)0 420 y(here.)43 b(Ho)m(w)m(ev)m(er,)32 b(an)d(attempt)f(has)i
12300 (b)s(een)f(made)g(to)f(group)h(the)g(material)d(more)j(logically)c
12301 (according)0 528 y(to)30 b(ph)m(ysics)i(topics)d(than)i(in)e(previous)i
12302 (distributions,)e(to)h(tie)f(it)h(closer)g(to)g(the)g(ph)m(ysics)i
12303 (description,)0 636 y(and)h(to)f(impro)m(v)m(e)g(the)h(la)m(y)m(out)g
12304 (and)f(therefore)h(the)g(readabilit)m(y)-8 b(.)42 b(An)m(y)34
12305 b(feedbac)m(k)g(is)e(w)m(elcome.)146 745 y(A)39 b(w)m(ord)g(of)e(w)m
12306 (arning)h(ma)m(y)h(b)s(e)f(in)g(place.)60 b(The)39 b(program)e
12307 (description)h(is)g(fairly)e(length)m(y)-8 b(,)40 b(and)0
12308 853 y(certainly)22 b(could)h(not)g(b)s(e)h(absorb)s(ed)f(in)g(one)g
12309 (sitting.)39 b(This)23 b(is)g(not)g(ev)m(en)i(necessary)-8
12310 b(,)27 b(since)d(all)d(switc)m(hes)0 961 y(and)j(parameters)g(are)g
12311 (pro)m(vided)g(with)g(sensible)g(default)f(v)-5 b(alues,)26
12312 b(based)f(on)f(our)f(b)s(est)i(understanding)0 1070 y(\(of)31
12313 b(the)g(ph)m(ysics,)i(and)f(of)e(what)i(y)m(ou)g(exp)s(ect)g(to)f(happ)
12314 s(en)h(if)e(y)m(ou)i(do)f(not)g(sp)s(ecify)h(an)m(y)g(options\).)42
12315 b(As)0 1178 y(a)35 b(new)i(user,)h(y)m(ou)e(can)g(therefore)g
12316 (disregard)g(all)d(the)k(fancy)f(options,)g(and)g(just)g(run)g(the)g
12317 (program)0 1286 y(with)31 b(a)h(minim)m(um)c(ado.)43
12318 b(Later)32 b(on,)g(as)f(y)m(ou)i(gain)d(exp)s(erience,)k(the)e(options)
12319 f(that)g(seem)h(useful)g(can)0 1395 y(b)s(e)d(tried)f(out.)42
12320 b(No)28 b(single)f(user)j(is)e(ev)m(er)i(lik)m(ely)d(to)h(\014nd)h
12321 (need)g(for)f(more)g(than)h(a)f(fraction)f(of)h(the)h(total)0
12322 1503 y(n)m(um)m(b)s(er)h(of)f(p)s(ossibilities)e(a)m(v)-5
12323 b(ailable,)27 b(y)m(et)k(man)m(y)f(of)f(them)g(ha)m(v)m(e)i(b)s(een)f
12324 (added)h(to)e(meet)g(sp)s(eci\014c)i(user)0 1611 y(requests.)146
12325 1720 y(In)k(some)e(instances,)i(not)f(ev)m(en)i(this)d(rep)s(ort)h
12326 (will)e(pro)m(vide)i(y)m(ou)g(with)g(all)e(the)i(information)d(y)m(ou)0
12327 1828 y(desire.)41 b(Y)-8 b(ou)24 b(ma)m(y)g(wish)g(to)g(\014nd)h(out)f
12328 (ab)s(out)f(recen)m(t)j(v)m(ersions)f(of)f(the)g(program,)h(kno)m(w)g
12329 (ab)s(out)f(related)0 1936 y(soft)m(w)m(are,)32 b(pic)m(k)e(up)g(a)g
12330 (few)g(sample)f(main)g(programs)g(to)g(get)h(going,)f(or)h(get)g(hold)f
12331 (of)g(related)h(ph)m(ysics)0 2045 y(pap)s(ers.)44 b(Some)32
12332 b(suc)m(h)i(material)c(can)j(b)s(e)g(found)f(if)g(y)m(ou)h(link)e(to)i
12333 (m)m(y)f(W)-8 b(orld)32 b(Wide)g(W)-8 b(eb)33 b(homepage:)0
12334 2153 y Fq(http://thep.lu.se/tf2/sta)q(ff/t)q(orb)q(jorn)q(/Wel)q(come)q
12335 (.ht)q(ml)0 2261 y Fw(and)g(study)g(the)g(con)m(ten)m(ts)i(there.)0
12336 2509 y Fo(Disclaimer)0 2682 y Fw(A)m(t)j(all)d(times)h(it)h(should)g(b)
12337 s(e)g(remem)m(b)s(ered)h(that)f(this)g(is)g(not)g(a)g(commercial)e(pro)
12338 s(duct,)k(dev)m(elop)s(ed)0 2790 y(and)k(supp)s(orted)h(b)m(y)g
12339 (professionals.)75 b(Instead)44 b(it)e(is)h(a)f(`Univ)m(ersit)m(y)i(W)
12340 -8 b(orld')42 b(pro)s(duct,)47 b(dev)m(elop)s(ed)0 2899
12341 y(b)m(y)37 b(a)e(v)m(ery)j(few)e(ph)m(ysicists)h(\(mainly)c(the)k
12342 (curren)m(t)g(author\))e(originally)d(for)j(their)h(o)m(wn)g(needs,)i
12343 (and)0 3007 y(supplied)28 b(to)h(other)g(ph)m(ysicists)g(on)g(an)f
12344 (`as-is')g(basis,)i(free)f(of)f(c)m(harge.)43 b(No)29
12345 b(guaran)m(tees)g(are)g(therefore)0 3115 y(giv)m(en)37
12346 b(for)f(the)h(prop)s(er)f(functioning)f(of)h(the)h(programs,)g(nor)f
12347 (for)g(the)h(v)-5 b(alidit)m(y)35 b(of)h(ph)m(ysics)i(results.)0
12348 3224 y(In)g(the)g(end,)i(it)c(is)h(alw)m(a)m(ys)h(up)g(to)g(y)m(ou)g
12349 (to)f(decide)h(for)f(y)m(ourself)h(whether)h(to)e(trust)h(a)g(giv)m(en)
12350 g(result)0 3332 y(or)d(not.)51 b(Usually)34 b(this)h(requires)h
12351 (comparison)e(either)h(with)g(analytical)d(results)k(or)f(with)f
12352 (results)i(of)0 3440 y(other)h(programs,)f(or)g(with)g(b)s(oth.)55
12353 b(Ev)m(en)38 b(this)f(is)f(not)g(necessarily)h(fo)s(olpro)s(of:)48
12354 b(for)36 b(instance,)i(if)e(an)0 3549 y(error)31 b(is)f(made)h(in)f
12355 (the)h(calculation)e(of)h(a)h(matrix)f(elemen)m(t)g(for)h(a)f(giv)m(en)
12356 i(pro)s(cess,)g(this)f(error)g(will)d(b)s(e)0 3657 y(propagated)33
12357 b(b)s(oth)g(in)m(to)f(the)h(analytical)e(results)i(based)h(on)f(the)h
12358 (original)c(calculation)g(and)j(in)m(to)g(all)0 3765
12359 y(the)e(ev)m(en)m(t)h(generators)f(whic)m(h)g(subsequen)m(tly)j(mak)m
12360 (e)c(use)i(of)e(the)h(published)g(form)m(ulae.)41 b(In)31
12361 b(the)g(end,)0 3874 y(there)i(is)f(no)h(substitute)g(for)f(a)h(sound)g
12362 (ph)m(ysics)h(judgemen)m(t.)146 3982 y(This)39 b(do)s(es)h(not)f(mean)f
12363 (that)h(y)m(ou)g(are)g(all)e(on)i(y)m(our)h(o)m(wn,)h(with)e(a)f
12364 (program)g(nob)s(o)s(dy)h(feels)g(re-)0 4090 y(sp)s(onsible)j(for.)71
12365 b(A)m(ttempts)43 b(are)f(made)g(to)g(c)m(hec)m(k)i(pro)s(cesses)g(as)f
12366 (carefully)e(as)h(p)s(ossible,)i(to)e(write)0 4199 y(programs)36
12367 b(that)h(do)h(not)f(in)m(vite)f(unnecessary)k(errors,)f(and)f(to)f(pro)
12368 m(vide)g(a)g(detailed)f(and)i(accurate)0 4307 y(do)s(cumen)m(tation.)75
12369 b(All)41 b(of)i(this)g(while)f(main)m(taining)e(the)k(full)e(p)s(o)m(w)
12370 m(er)i(and)f(\015exibilit)m(y)-8 b(,)45 b(of)d(course,)0
12371 4415 y(since)32 b(the)h(ph)m(ysics)g(m)m(ust)f(alw)m(a)m(ys)h(tak)m(e)f
12372 (precedence)j(in)c(an)m(y)i(con\015ict)e(of)h(in)m(terests.)44
12373 b(If)32 b(nev)m(ertheless)0 4524 y(an)m(y)40 b(errors)g(or)f
12374 (unclarities)f(are)i(found,)h(please)f(do)f(comm)m(unicate)g(them)g(to)
12375 g(me,)i(e.g.)64 b(on)40 b(phone)0 4632 y(+46)30 b({)g(46)f({)h(222)g
12376 (48)g(16)f(or)h(e-mail)e(torb)5 b(jorn@thep.lu.se.)43
12377 b(Ev)m(ery)32 b(attempt)e(will)e(b)s(e)i(made)g(to)g(solv)m(e)0
12378 4740 y(problems)d(as)h(so)s(on)f(as)h(is)g(reasonably)f(p)s(ossible,)h
12379 (giv)m(en)g(that)g(this)f(supp)s(ort)h(is)f(b)m(y)i(one)f(p)s(erson)g
12380 (alone,)0 4849 y(who)33 b(also)f(has)h(other)f(resp)s(onsibilities.)0
12381 5096 y Fo(App)s(endix:)50 b(The)38 b(Historical)c(Pythia)0
12382 5269 y Fw(While)j(the)h(origin)d(and)j(connotations)f(of)g(the)h(`)p
12383 Fm(Jetset)p Fw(')f(program)f(name)h(should)g(b)s(e)h(commonly)0
12384 5378 y(kno)m(wn,)c(the)f(`)p Fm(Pythia)p Fw(')g(lab)s(el)e(ma)m(y)h
12385 (need)i(some)e(explanation.)146 5486 y(The)48 b(m)m(yth)e(tells)f(ho)m
12386 (w)i(Ap)s(ollon,)h(the)e(Go)s(d)g(of)g(Wisdom,)i(killed)d(the)i(p)s(o)m
12387 (w)m(erful)f(dragon-lik)m(e)0 5594 y(monster)34 b(Python,)i(close)f(to)
12388 f(the)h(village)d(of)i(Delphi)f(in)h(Greece.)50 b(T)-8
12389 b(o)35 b(commemorate)d(this)i(victory)-8 b(,)1865 5953
12390 y(6)p eop
12391 %%Page: 7 13
12392 7 12 bop 0 -18 a Fw(Ap)s(ollon)37 b(founded)i(the)h(Pythic)f(Oracle)f
12393 (in)g(Delphi,)h(on)g(the)g(slop)s(es)g(of)f(Moun)m(t)i(P)m(arnassos.)64
12394 b(Here)0 90 y(men)38 b(could)f(come)g(to)h(learn)f(the)h(will)d(of)j
12395 (the)g(Go)s(ds)f(and)h(the)g(course)h(of)e(the)h(future.)60
12396 b(The)38 b(oracle)0 198 y(pla)m(ys)31 b(an)g(imp)s(ortan)m(t)e(r^)-49
12397 b(ole)30 b(in)g(man)m(y)h(of)g(the)g(other)g(Greek)h(m)m(yths,)f(suc)m
12398 (h)i(as)e(those)h(of)e(Heracles)h(and)0 307 y(of)h(King)g(Oedipus.)146
12399 415 y(Questions)25 b(w)m(ere)h(to)e(b)s(e)g(put)h(to)f(the)g(Pythia,)i
12400 (the)f(`Priestess')h(or)e(`Prophetess')i(of)e(the)h(Oracle.)40
12401 b(In)0 523 y(fact,)30 b(she)h(w)m(as)g(a)e(lo)s(cal)e(w)m(oman,)j
12402 (usually)f(a)h(y)m(oung)g(maiden,)f(of)h(no)f(particular)f(religious)g
12403 (sc)m(ho)s(oling.)0 632 y(Seated)f(on)f(a)g(trip)s(o)s(d,)h(she)g
12404 (inhaled)e(the)i(obno)m(xious)f(v)-5 b(ap)s(ours)27 b(that)f(seep)s(ed)
12405 i(up)f(through)f(a)g(crevice)h(in)0 740 y(the)j(ground.)42
12406 b(This)29 b(brough)m(t)h(her)g(to)e(a)h(trance-lik)m(e)g(state,)h(in)f
12407 (whic)m(h)h(she)g(w)m(ould)f(scream)g(seemingly)0 848
12408 y(random)i(w)m(ords)i(and)g(sounds.)44 b(It)32 b(w)m(as)h(the)g(task)g
12409 (of)e(the)i(professional)e(priests)h(in)g(Delphi)e(to)i(record)0
12410 957 y(those)41 b(utterings)g(and)f(edit)h(them)f(in)m(to)g(the)h
12411 (o\016cial)e(Oracle)h(prophecies,)j(whic)m(h)e(often)g(to)s(ok)f(the)0
12412 1065 y(form)26 b(of)h(p)s(o)s(ems)g(in)f(p)s(erfect)i(hexameter.)43
12413 b(In)27 b(fact,)i(ev)m(en)g(these)f(edited)g(replies)f(w)m(ere)h(often)
12414 g(less)f(than)0 1173 y(easy)34 b(to)e(in)m(terpret.)44
12415 b(The)33 b(Pythic)g(oracle)f(acquired)h(a)f(reputation)g(for)g(am)m
12416 (biguous)g(answ)m(ers.)146 1282 y(The)37 b(Oracle)e(existed)i(already)e
12417 (at)h(the)g(b)s(eginning)e(of)i(the)g(historical)d(era)j(in)f(Greece,)j
12418 (and)e(w)m(as)0 1390 y(univ)m(ersally)c(recognized)h(as)g(the)h
12419 (foremost)e(religious)e(seat.)45 b(Individuals)32 b(and)h(cit)m(y)g
12420 (states)g(came)g(to)0 1498 y(consult,)d(on)f(ev)m(erything)i(from)d
12421 (cures)i(for)f(c)m(hildlessness)i(to)e(matters)g(of)f(w)m(ar.)43
12422 b(La)m(vish)30 b(gifts)e(allo)m(w)m(ed)0 1607 y(the)h(temple)f(area)g
12423 (to)g(b)s(e)h(built)e(and)h(decorated.)43 b(Man)m(y)30
12424 b(states)f(supplied)f(their)g(o)m(wn)h(treasury)h(halls,)0
12425 1715 y(where)46 b(esp)s(ecially)d(b)s(eautiful)g(gifts)g(w)m(ere)j(on)e
12426 (displa)m(y)-8 b(.)78 b(Sidesho)m(ws)46 b(included)e(the)h(Omphalos,)h
12427 (a)0 1823 y(stone)37 b(reputedly)g(marking)e(the)i(cen)m(tre)h(of)e
12428 (the)h(Earth,)h(and)f(the)g(Pythic)g(games,)g(second)h(only)e(to)0
12429 1932 y(the)d(Olympic)e(ones)i(in)f(imp)s(ortance.)146
12430 2040 y(Strife)i(inside)h(Greece)g(ev)m(en)m(tually)g(led)g(to)f(a)h
12431 (decline)f(in)g(the)i(p)s(o)m(w)m(er)f(of)g(the)g(Oracle.)49
12432 b(A)35 b(serious)0 2148 y(blo)m(w)25 b(w)m(as)i(dealt)e(when)i(the)f
12433 (Oracle)f(of)g(Zeus)h(Ammon)e(\(see)j(b)s(elo)m(w\))e(declared)h
12434 (Alexander)g(the)g(Great)0 2257 y(to)39 b(b)s(e)g(the)g(son)h(of)e
12435 (Zeus.)64 b(The)40 b(Pythic)f(Oracle)g(liv)m(ed)f(on,)j(ho)m(w)m(ev)m
12436 (er,)i(and)c(w)m(as)h(only)f(closed)g(b)m(y)h(a)0 2365
12437 y(Roman)30 b(Imp)s(erial)g(decree)j(in)e(390)g Fm(ad)p
12438 Fw(,)h(at)f(a)h(time)e(when)j(Christianit)m(y)e(w)m(as)h(ruthlessly)g
12439 (destro)m(ying)0 2473 y(an)m(y)43 b(religious)d(opp)s(osition.)70
12440 b(Pythia)42 b(then)h(had)f(b)s(een)h(at)f(the)h(service)g(of)f(man)f
12441 (and)h(Go)s(ds)g(for)g(a)0 2582 y(millenium)28 b(and)33
12442 b(a)f(half.)146 2690 y(The)40 b(r^)-49 b(ole)38 b(of)h(the)g(Pythic)h
12443 (Oracle)e(replies)g(on)h(the)h(course)g(of)e(history)h(is)g(no)m(where)
12444 h(b)s(etter)f(de-)0 2798 y(scrib)s(ed)h(than)f(in)g(`The)h(Histories')f
12445 (b)m(y)h(Hero)s(dotus)g([Her)p Fm(bc)p Fw(],)h(the)f(classical)e(and)h
12446 (captiv)-5 b(ating)37 b(de-)0 2907 y(scription)25 b(of)g(the)h(Ancien)m
12447 (t)g(W)-8 b(orld)25 b(at)g(the)i(time)d(of)h(the)h(Great)g(W)-8
12448 b(ar)25 b(b)s(et)m(w)m(een)j(Greeks)f(and)e(P)m(ersians.)0
12449 3015 y(Esp)s(ecially)f(famous)g(is)g(the)h(episo)s(de)g(with)f(King)g
12450 (Croisus)h(of)f(Lydia.)41 b(Con)m(templating)23 b(a)h(w)m(ar)h(against)
12451 0 3123 y(the)32 b(upstart)g(P)m(ersian)g(Empire,)f(he)g(resolv)m(es)i
12452 (to)e(ask)h(an)g(oracle)e(what)i(the)g(outcome)f(of)g(a)g(p)s(oten)m
12453 (tial)0 3232 y(battle)36 b(w)m(ould)h(b)s(e.)56 b(Ho)m(w)m(ev)m(er,)40
12454 b(to)d(ha)m(v)m(e)h(some)e(guaran)m(tee)i(for)e(the)h(v)m(eracit)m(y)h
12455 (of)e(an)m(y)i(prophecy)-8 b(,)39 b(he)0 3340 y(decides)25
12456 b(to)g(send)g(em)m(bassies)g(to)f(all)f(the)i(reno)m(wned)h(oracles)e
12457 (of)g(the)h(kno)m(wn)h(W)-8 b(orld.)39 b(The)26 b(messengers)0
12458 3448 y(are)37 b(instructed)h(to)f(inquire)g(the)h(v)-5
12459 b(arious)36 b(divinities,)h(on)g(the)h(h)m(undredth)h(da)m(y)f(after)f
12460 (their)g(depar-)0 3557 y(ture,)d(what)g(King)e(Croisus)i(is)f(doing)g
12461 (at)g(that)g(v)m(ery)i(momen)m(t.)46 b(F)-8 b(rom)32
12462 b(the)i(Pythia)f(the)h(messengers)0 3665 y(bring)e(bac)m(k)h(the)g
12463 (reply)244 3857 y Fi(I)h(know)g(the)h(numb)-5 b(er)35
12464 b(of)f(gr)-5 b(ains)34 b(of)h(sand)f(as)h(wel)5 b(l)34
12465 b(as)g(the)h(exp)-5 b(anse)34 b(of)h(the)f(se)-5 b(a,)244
12466 3965 y(A)n(nd)34 b(I)h(c)-5 b(ompr)g(ehend)33 b(the)i(dumb)f(and)h(he)
12467 -5 b(ar)34 b(him)g(who)h(do)-5 b(es)34 b(not)h(sp)-5
12468 b(e)g(ak,)244 4073 y(Ther)g(e)34 b(c)-5 b(ame)34 b(to)h(my)g(mind)f
12469 (the)h(smel)5 b(l)34 b(of)h(the)g(har)-5 b(d-shel)5 b(le)-5
12470 b(d)33 b(turtle,)244 4182 y(Boile)-5 b(d)34 b(in)g(c)-5
12471 b(opp)g(er)34 b(to)-5 b(gether)35 b(with)g(the)g(lamb,)244
12472 4290 y(With)g(c)-5 b(opp)g(er)34 b(b)-5 b(elow)34 b(and)h(c)-5
12473 b(opp)g(er)34 b(ab)-5 b(ove.)0 4481 y Fw(The)37 b(v)m(eracit)m(y)g(of)f
12474 (the)g(Pythia)g(is)f(th)m(us)i(established)g(b)m(y)g(the)f(craft)m(y)h
12475 (ruler,)f(who)g(had)h(w)m(aited)f(un)m(til)0 4590 y(the)30
12476 b(app)s(oin)m(ted)e(da)m(y)-8 b(,)31 b(slaugh)m(tered)f(a)e(turtle)h
12477 (and)g(a)g(lam)m(b,)g(and)g(b)s(oiled)e(them)i(together)h(in)e(a)h
12478 (copp)s(er)0 4698 y(cauldron)j(with)h(a)g(copp)s(er)g(lid.)43
12479 b(Also)32 b(the)i(Oracle)e(of)h(Zeus)g(Ammon)f(in)g(the)h(Lib)m(y)m(an)
12480 g(desert)i(is)d(able)0 4806 y(to)g(giv)m(e)h(a)g(correct)g(reply)g
12481 (\(lost)f(to)g(p)s(osterit)m(y\),)h(while)f(all)f(others)i(fail.)42
12482 b(King)32 b(Croisus)h(no)m(w)g(sends)i(a)0 4915 y(second)j(em)m(bassy)h
12483 (to)d(Delphi,)h(inquiring)e(after)i(the)g(outcome)g(of)f(a)h(battle)f
12484 (against)g(the)h(P)m(ersians.)0 5023 y(The)d(Pythia)e(answ)m(ers)244
12485 5214 y Fi(If)i(Cr)-5 b(oisus)35 b(p)-5 b(asses)34 b(over)g(the)h(Halys)
12486 g(he)g(wil)5 b(l)34 b(dissolve)g(a)g(gr)-5 b(e)g(at)35
12487 b(Empir)-5 b(e.)0 5406 y Fw(T)d(aking)26 b(this)f(to)h(mean)f(he)i(w)m
12488 (ould)f(win,)h(the)f(King)f(collects)h(his)f(arm)m(y)h(and)g(crosses)i
12489 (the)e(b)s(order)g(riv)m(er,)0 5514 y(only)e(to)g(su\013er)h(a)f
12490 (crushing)h(defeat)g(and)f(see)i(his)e(Kingdom)e(conquered.)43
12491 b(When)25 b(the)g(victorious)f(King)0 5622 y(Cyrus)29
12492 b(allo)m(ws)d(Croisus)h(to)g(send)i(an)e(em)m(bassy)h(to)f(upbraid)g
12493 (the)h(Oracle,)f(the)h(Go)s(d)e(Ap)s(ollon)g(answ)m(ers)1865
12494 5953 y(7)p eop
12495 %%Page: 8 14
12496 8 13 bop 0 -18 a Fw(through)33 b(his)g(Prophetess)i(that)f(he)f(has)h
12497 (correctly)f(predicted)h(the)g(destruction)g(of)e(a)h(great)g(empire)0
12498 90 y(|)i(Croisus')i(o)m(wn)f(|)f(and)h(that)g(he)g(cannot)g(b)s(e)g
12499 (held)g(resp)s(onsible)f(if)g(p)s(eople)g(c)m(ho)s(ose)i(to)e(in)m
12500 (terpret)0 198 y(the)e(Oracle)f(answ)m(ers)i(to)f(their)f(o)m(wn)h
12501 (liking.)146 307 y(The)47 b(history)f(of)f(the)h Fm(Pythia)g
12502 Fw(program)e(is)i(neither)g(as)f(long)g(nor)h(as)g(digni\014ed)e(as)i
12503 (that)g(of)0 415 y(its)f(ep)s(on)m(ym.)84 b(Ho)m(w)m(ev)m(er,)52
12504 b(some)45 b(p)s(oin)m(ts)h(of)f(con)m(tact)i(exist.)84
12505 b(Y)-8 b(ou)45 b(m)m(ust)h(b)s(e)h(v)m(ery)g(careful)e(when)0
12506 523 y(y)m(ou)c(form)m(ulate)e(the)i(questions:)60 b(an)m(y)41
12507 b(am)m(biguities)d(will)g(corrupt)j(the)f(reply)h(y)m(ou)g(get.)67
12508 b(And)41 b(y)m(ou)0 632 y(m)m(ust)34 b(b)s(e)h(ev)m(en)g(more)f
12509 (careful)f(not)h(to)g(misin)m(terpret)f(the)i(answ)m(ers;)i(in)c
12510 (particular)g(not)h(to)g(pic)m(k)g(the)0 740 y(in)m(terpretation)i
12511 (that)g(suits)h(y)m(ou)g(b)s(efore)f(considering)g(the)h(alternativ)m
12512 (es.)56 b(Finally)-8 b(,)34 b(ev)m(en)39 b(a)d(p)s(erfect)0
12513 848 y(Go)s(d)30 b(has)h(serv)-5 b(an)m(ts)32 b(that)f(are)g(only)f(h)m
12514 (uman:)43 b(a)30 b(priest)h(migh)m(t)e(mishear)h(the)i(screams)f(of)f
12515 (the)i(Pythia)0 957 y(and)c(therefore)h(pro)s(duce)g(an)f(erroneous)i
12516 (oracle)d(reply;)j(the)f(curren)m(t)g(author)f(migh)m(t)f(un)m
12517 (wittingly)g(let)0 1065 y(a)32 b(bug)h(free)g(in)f(the)h(program)e
12518 Fm(Pythia)p Fw(.)1865 5953 y(8)p eop
12519 %%Page: 9 15
12520 9 14 bop 0 -18 a Ft(2)161 b(Ph)l(ysics)53 b(Ov)l(erview)0
12521 189 y Fw(In)41 b(this)e(section)i(w)m(e)g(will)d(try)i(to)g(giv)m(e)g
12522 (an)h(o)m(v)m(erview)g(of)f(the)h(main)d(ph)m(ysics)k(features)f(of)47
12523 b Fm(Jetset)0 297 y Fw(and)39 b Fm(Pythia)p Fw(,)i(and)e(also)g(to)f
12524 (in)m(tro)s(duce)i(some)e(terminology)-8 b(.)61 b(The)40
12525 b(details)e(will)f(b)s(e)i(discussed)i(in)0 405 y(subsequen)m(t)36
12526 b(sections.)146 514 y(F)-8 b(or)34 b(the)g(description)g(of)f(a)h(t)m
12527 (ypical)g(high-energy)f(ev)m(en)m(t,)k(an)d(ev)m(en)m(t)i(generator)e
12528 (should)g(con)m(tain)0 622 y(a)k(sim)m(ulation)d(of)j(sev)m(eral)g(ph)m
12529 (ysics)i(asp)s(ects.)61 b(If)38 b(w)m(e)h(try)g(to)f(follo)m(w)e(the)i
12530 (ev)m(olution)g(of)f(an)h(ev)m(en)m(t)i(in)0 730 y(some)32
12531 b(sem)m(blance)h(of)f(a)h(time)e(order,)i(one)g(ma)m(y)f(arrange)g
12532 (these)i(asp)s(ects)g(as)f(follo)m(ws:)119 843 y(1.)49
12533 b(Initially)31 b(t)m(w)m(o)j(b)s(eam)g(particles)f(are)h(coming)e(in)i
12534 (to)m(w)m(ards)h(eac)m(h)g(other.)48 b(Normally)31 b(eac)m(h)k(par-)244
12535 952 y(ticle)41 b(is)i(c)m(haracterized)g(b)m(y)h(a)e(set)i(of)e(parton)
12536 g(distribution)f(functions,)k(whic)m(h)f(de\014nes)g(the)244
12537 1060 y(partonic)32 b(substructure)i(in)e(terms)h(of)f(\015a)m(v)m(our)h
12538 (comp)s(osition)d(and)j(energy)h(sharing.)119 1178 y(2.)49
12539 b(One)42 b(sho)m(w)m(er)i(initiator)38 b(parton)k(from)e(eac)m(h)j(b)s
12540 (eam)e(starts)h(o\013)g(a)f(sequence)k(of)c(branc)m(hings,)244
12541 1286 y(suc)m(h)34 b(as)f(q)28 b Fn(!)f Fw(qg)q(,)33 b(whic)m(h)g(build)
12542 f(up)h(an)f(initial-state)d(sho)m(w)m(er.)119 1404 y(3.)49
12543 b(One)35 b(incoming)e(parton)h(from)g(eac)m(h)h(of)g(the)g(t)m(w)m(o)g
12544 (sho)m(w)m(ers)i(en)m(ters)g(the)e(hard)g(pro)s(cess,)h(where)244
12545 1512 y(then)i(a)f(n)m(um)m(b)s(er)h(of)g(outgoing)e(partons)i(are)f
12546 (pro)s(duced,)j(usually)d(t)m(w)m(o.)59 b(It)38 b(is)f(the)h(nature)g
12547 (of)244 1621 y(this)32 b(pro)s(cess)i(that)e(determines)h(the)g(main)e
12548 (c)m(haracteristics)i(of)f(the)h(ev)m(en)m(t.)119 1738
12549 y(4.)49 b(Also)32 b(the)h(outgoing)e(partons)i(ma)m(y)f(branc)m(h,)i
12550 (to)e(build)f(up)i(\014nal-state)f(sho)m(w)m(ers.)119
12551 1856 y(5.)49 b(When)42 b(a)f(sho)m(w)m(er)i(initiator)38
12552 b(is)i(tak)m(en)i(out)f(of)g(a)g(b)s(eam)f(particle,)i(a)f(b)s(eam)g
12553 (remnan)m(t)g(is)f(left)244 1965 y(b)s(ehind.)i(This)31
12554 b(remnan)m(t)f(ma)m(y)g(ha)m(v)m(e)i(an)e(in)m(ternal)f(structure,)j
12555 (and)e(a)g(net)h(colour)e(c)m(harge)i(that)244 2073 y(relates)h(it)g
12556 (to)g(the)h(rest)g(of)f(the)h(\014nal)f(state.)119 2191
12557 y(6.)49 b(The)31 b(QCD)f(con\014nemen)m(t)h(mec)m(hanism)f(ensures)i
12558 (that)e(the)g(outgoing)f(quarks)j(and)e(gluons)f(are)244
12559 2299 y(not)j(observ)-5 b(able,)33 b(but)g(instead)g(fragmen)m(t)e(to)i
12560 (colour)e(neutral)h(hadrons.)119 2417 y(7.)49 b(Man)m(y)34
12561 b(of)e(the)h(pro)s(duced)g(hadrons)g(are)g(unstable)f(and)h(deca)m(y)h
12562 (further.)146 2530 y(Con)m(v)m(en)m(tionally)-8 b(,)48
12563 b(only)d(quarks)i(and)e(gluons)g(are)g(coun)m(ted)i(as)e(partons,)k
12564 (while)44 b(leptons)h(and)0 2638 y(photons)29 b(are)f(not.)42
12565 b(If)29 b(pushed)h Fi(ad)h(absur)-5 b(dum)28 b Fw(this)g(ma)m(y)g(lead)
12566 g(to)g(some)h(un)m(wieldy)f(terminology)-8 b(.)40 b(W)-8
12567 b(e)0 2747 y(will)26 b(therefore,)k(where)f(it)f(do)s(es)g(not)h
12568 (matter,)f(sp)s(eak)h(of)f(an)g(electron)h(or)e(a)h(photon)h(in)e(the)i
12569 (`partonic')0 2855 y(substructure)k(of)e(an)g(electron,)g(lump)f(branc)
12570 m(hings)i(e)c Fn(!)f Fw(e)p Fj(\015)36 b Fw(together)c(with)e(other)i
12571 (`parton)f(sho)m(w)m(er')0 2963 y(branc)m(hings)38 b(suc)m(h)h(as)f(q)f
12572 Fn(!)e Fw(qg)q(,)40 b(and)e(so)f(on.)59 b(With)37 b(this)g(notation,)h
12573 (the)g(division)e(in)m(to)h(the)h(ab)s(o)m(v)m(e)0 3072
12574 y(sev)m(en)33 b(p)s(oin)m(ts)d(applies)f(equally)h(w)m(ell)g(to)g(an)g
12575 (in)m(teraction)g(b)s(et)m(w)m(een)i(t)m(w)m(o)f(leptons,)g(b)s(et)m(w)
12576 m(een)i(a)d(lepton)0 3180 y(and)j(a)f(hadron,)h(and)f(b)s(et)m(w)m(een)
12577 j(t)m(w)m(o)e(hadrons.)146 3288 y(In)i(the)f(follo)m(wing)d
12578 (subsections,)36 b(w)m(e)f(will)d(surv)m(ey)k(the)e(ab)s(o)m(v)m(e)h
12579 (sev)m(en)h(asp)s(ects,)f(not)f(in)f(the)i(same)0 3397
12580 y(order)24 b(as)h(giv)m(en)f(here,)i(but)f(rather)f(in)f(the)i(order)f
12581 (in)f(whic)m(h)i(they)g(app)s(ear)f(in)f(the)i(program)e(execution,)0
12582 3505 y(i.e.)43 b(starting)32 b(with)g(the)h(hard)f(pro)s(cess.)0
12583 3779 y Fp(2.1)135 b(Hard)45 b(Pro)t(cesses)h(and)e(P)l(arton)i
12584 (Distributions)0 3952 y Fw(In)d Fm(Jetset)p Fw(,)g(only)f(t)m(w)m(o)h
12585 (hard)f(pro)s(cesses)j(are)d(a)m(v)-5 b(ailable.)70 b(The)43
12586 b(\014rst)g(and)f(main)f(one)h(is)g(e)3474 3915 y Fl(+)3533
12587 3952 y Fw(e)3576 3915 y Fk(\000)3680 3952 y Fn(!)0 4060
12588 y Fj(\015)56 4024 y Fk(\003)95 4060 y Fj(=)p Fw(Z)204
12589 4024 y Fl(0)277 4060 y Fn(!)34 b Fw(q)p 462 4007 52 4
12590 v(q)q(.)54 b(Here)37 b(the)g(`)p Fn(\003)p Fw(')f(of)g
12591 Fj(\015)1312 4024 y Fk(\003)1387 4060 y Fw(is)g(used)h(to)f(denote)h
12592 (that)f(the)h(photon)f(m)m(ust)h(b)s(e)f(o\013)g(the)h(mass)0
12593 4168 y(shell.)68 b(The)42 b(distinction)e(is)g(of)h(some)g(imp)s
12594 (ortance,)h(since)f(a)g(photon)g(on)g(the)h(mass)f(shell)f(cannot)0
12595 4277 y(deca)m(y)-8 b(.)69 b(Of)40 b(course)h(also)f(the)h(Z)1217
12596 4240 y Fl(0)1296 4277 y Fw(can)g(b)s(e)g(o\013)f(the)h(mass)f(shell,)i
12597 (but)f(here)g(the)g(distinction)e(is)h(less)0 4385 y(relev)-5
12598 b(an)m(t)29 b(\(strictly)f(sp)s(eaking,)i(a)f(Z)1297
12599 4349 y Fl(0)1365 4385 y Fw(is)f(alw)m(a)m(ys)i(o\013)e(the)i(mass)e
12600 (shell\).)42 b(In)29 b(the)h(follo)m(wing)c(w)m(e)k(ma)m(y)f(not)0
12601 4493 y(alw)m(a)m(ys)38 b(use)h(`)p Fn(\003)p Fw(')e(consisten)m(tly)-8
12602 b(,)39 b(but)f(the)g(rule)f(of)g(th)m(um)m(b)h(is)f(to)g(use)i(a)e(`)p
12603 Fn(\003)p Fw(')g(only)g(when)i(a)e(pro)s(cess)i(is)0
12604 4602 y(not)34 b(kinematically)d(p)s(ossible)j(for)f(a)h(particle)f(of)h
12605 (nominal)d(mass.)48 b(The)35 b(quark)g(q)g(in)e(the)i(\014nal)e(state)0
12606 4710 y(of)k(e)159 4674 y Fl(+)219 4710 y Fw(e)262 4674
12607 y Fk(\000)357 4710 y Fn(!)f Fj(\015)549 4674 y Fk(\003)588
12608 4710 y Fj(=)p Fw(Z)697 4674 y Fl(0)772 4710 y Fn(!)g
12609 Fw(q)p 959 4657 V(q)j(ma)m(y)e(b)s(e)h(u,)h(d,)g(s,)g(c,)h(b)d(or)h(t;)
12610 i(the)e(\015a)m(v)m(our)g(in)f(eac)m(h)h(ev)m(en)m(t)i(is)d(pic)m(k)m
12611 (ed)i(at)0 4818 y(random,)31 b(according)g(to)g(the)h(relativ)m(e)f
12612 (couplings,)g(ev)-5 b(aluated)32 b(at)f(the)h(hadronic)f(c.m.)43
12613 b(energy)-8 b(.)44 b(Also)0 4927 y(the)31 b(angular)f(distribution)f
12614 (of)h(the)i(\014nal)e(q)p 1589 4874 V(q)i(pair)d(is)i(included.)42
12615 b(No)31 b(parton-distribution)d(functions)0 5035 y(are)33
12616 b(needed.)146 5143 y(The)26 b(other)e Fm(Jetset)f Fw(pro)s(cess)j(is)e
12617 (a)g(routine)f(to)h(generate)h(ggg)g(and)f Fj(\015)5
12618 b Fw(gg)26 b(\014nal)d(states,)k(as)e(exp)s(ected)0 5252
12619 y(in)30 b(onium)g(1)458 5215 y Fk(\000\000)603 5252 y
12620 Fw(deca)m(ys)j(suc)m(h)g(as)e(\007.)43 b(Giv)m(en)31
12621 b(the)h(curren)m(t)g(limits)c(on)j(the)h(top)f(mass,)g(top)s(onium)f
12622 (will)0 5360 y(deca)m(y)j(w)m(eakly)g(m)m(uc)m(h)g(to)s(o)e(fast)h(for)
12623 f(these)i(pro)s(cesses)h(to)e(b)s(e)g(of)g(an)m(y)g(in)m(terest,)h(so)f
12624 (therefore)h(no)f(new)0 5468 y(applications)e(are)j(exp)s(ected.)1865
12625 5953 y(9)p eop
12626 %%Page: 10 16
12627 10 15 bop 146 -18 a Fm(Pythia)34 b Fw(con)m(tains)f(a)g(m)m(uc)m(h)h
12628 (ric)m(her)f(selection,)g(with)g(close)h(to)f(a)g(h)m(undred)h
12629 (di\013eren)m(t)g(hard)f(pro-)0 90 y(cesses.)46 b(These)34
12630 b(ma)m(y)f(b)s(e)f(classi\014ed)h(in)f(man)m(y)g(di\013eren)m(t)h(w)m
12631 (a)m(ys.)146 198 y(One)i(is)f(according)f(to)h(the)h(n)m(um)m(b)s(er)f
12632 (of)g(\014nal-state)f(ob)5 b(jects:)48 b(w)m(e)35 b(sp)s(eak)g(of)f(`2)
12633 c Fn(!)g Fw(1')k(pro)s(cesses,)0 307 y(`2)f Fn(!)h Fw(2')h(ones,)j(`2)c
12634 Fn(!)f Fw(3')j(ones,)h(etc.)55 b(This)36 b(asp)s(ect)h(is)e(v)m(ery)j
12635 (relev)-5 b(an)m(t)36 b(from)f(a)g(programming)e(p)s(oin)m(t)0
12636 415 y(of)h(view:)47 b(the)35 b(more)e(particles)h(in)f(the)i(\014nal)e
12637 (state,)i(the)g(more)f(complicated)e(the)j(phase)g(space)g(and)0
12638 523 y(therefore)k(the)f(whole)g(generation)g(pro)s(cedure.)61
12639 b(In)39 b(fact,)g Fm(Pythia)g Fw(is)e(optimized)g(for)h(2)f
12640 Fn(!)f Fw(1)i(and)0 632 y(2)27 b Fn(!)h Fw(2)j(pro)s(cesses.)45
12641 b(There)32 b(is)f(curren)m(tly)h(no)g(generic)f(treatmen)m(t)g(of)g
12642 (pro)s(cesses)i(with)e(three)h(or)f(more)0 740 y(particles)40
12643 b(in)g(the)i(\014nal)e(state,)k(but)d(rather)g(a)g(few)g(di\013eren)m
12644 (t)h(mac)m(hineries,)g(eac)m(h)g(tailored)d(to)i(the)0
12645 848 y(p)s(ole)33 b(structure)j(of)e(a)g(sp)s(eci\014c)g(class)h(of)f
12646 (graphs.)48 b(This)35 b(ma)m(y)f(b)s(e)g(seen)i(as)e(a)g(ma)5
12647 b(jor)33 b(limitation,)d(and)0 957 y(indeed)c(is)f(so)h(at)f(times.)41
12648 b(Ho)m(w)m(ev)m(er,)29 b(often)d(one)g(can)g(come)f(quite)h(far)f(with)
12649 g(only)h(one)g(or)f(t)m(w)m(o)h(particles)0 1065 y(in)40
12650 b(the)g(\014nal)g(state,)j(since)d(sho)m(w)m(ers)j(will)38
12651 b(add)i(the)h(required)g(extra)g(activit)m(y)-8 b(.)66
12652 b(The)41 b(classi\014cation)0 1173 y(ma)m(y)d(also)f(b)s(e)i
12653 (misleading)d(at)h(times,)i(since)g(an)f Fj(s)p Fw(-c)m(hannel)g
12654 (resonance)i(is)e(considered)h(as)g(a)f(single)0 1282
12655 y(particle,)43 b(ev)m(en)g(if)e(it)g(is)g(assumed)i(alw)m(a)m(ys)f(to)g
12656 (deca)m(y)h(in)m(to)e(t)m(w)m(o)h(\014nal-state)f(particles.)71
12657 b(Th)m(us)43 b(the)0 1390 y(pro)s(cess)32 b(e)381 1354
12658 y Fl(+)441 1390 y Fw(e)484 1354 y Fk(\000)571 1390 y
12659 Fn(!)27 b Fw(W)799 1354 y Fl(+)859 1390 y Fw(W)960 1354
12660 y Fk(\000)1047 1390 y Fn(!)g Fw(q)1225 1405 y Fl(1)p
12661 1265 1337 52 4 v 1265 1390 a Fw(q)1317 1354 y Fk(0)1317
12662 1415 y Fl(1)1373 1390 y Fw(q)1424 1405 y Fl(2)p 1464
12663 1337 V 1464 1390 a Fw(q)1515 1354 y Fk(0)1515 1415 y
12664 Fl(2)1586 1390 y Fw(is)k(classi\014ed)g(as)g(2)d Fn(!)f
12665 Fw(2,)k(although)f(the)i(deca)m(y)h(treatmen)m(t)0 1498
12666 y(of)f(the)h(W)h(pair)e(includes)g(the)h(full)e(2)c Fn(!)h
12667 Fw(4)k(matrix)f(elemen)m(ts.)146 1607 y(Another)25 b(classi\014cation)e
12668 (is)g(according)h(to)f(the)i(ph)m(ysics)h(scenario.)40
12669 b(This)24 b(will)e(b)s(e)i(the)h(main)d(theme)0 1715
12670 y(of)32 b(section)h(8.)43 b(The)34 b(follo)m(wing)29
12671 b(ma)5 b(jor)32 b(groups)h(ma)m(y)f(b)s(e)h(distinguished:)145
12672 1828 y Fn(\017)49 b Fw(Hard)32 b(QCD)h(pro)s(cesses,)h(e.g.)44
12673 b(qg)29 b Fn(!)f Fw(qg)q(.)145 1946 y Fn(\017)49 b Fw(Soft)39
12674 b(QCD)g(pro)s(cesses,)44 b(suc)m(h)c(as)g(di\013ractiv)m(e)f(and)h
12675 (elastic)e(scattering,)j(and)f(minim)m(um-bias)244 2054
12676 y(ev)m(en)m(ts.)145 2172 y Fn(\017)49 b Fw(Hea)m(vy-\015a)m(v)m(our)34
12677 b(pro)s(duction,)e(e.g.)44 b(gg)29 b Fn(!)e Fw(t)p 1869
12678 2101 38 4 v(t.)145 2290 y Fn(\017)49 b Fw(Prompt-photon)31
12679 b(pro)s(duction,)h(e.g.)44 b(qg)29 b Fn(!)f Fw(q)p Fj(\015)5
12680 b Fw(.)145 2408 y Fn(\017)49 b Fw(Photon-induced)33 b(pro)s(cesses,)h
12681 (e.g.)44 b Fj(\015)5 b Fw(g)29 b Fn(!)e Fw(q)p 1900 2355
12682 52 4 v(q)q(.)145 2525 y Fn(\017)49 b Fw(Deep)33 b(inelastic)e
12683 (scattering,)h(e.g.)44 b(q)p Fj(`)28 b Fn(!)f Fw(q)p
12684 Fj(`)p Fw(.)145 2643 y Fn(\017)49 b Fw(W)q Fj(=)p Fw(Z)42
12685 b(pro)s(duction,)h(suc)m(h)h(as)e(the)g(e)1609 2607 y
12686 Fl(+)1669 2643 y Fw(e)1712 2607 y Fk(\000)1815 2643 y
12687 Fn(!)h Fj(\015)2014 2607 y Fk(\003)2053 2643 y Fj(=)p
12688 Fw(Z)2162 2607 y Fl(0)2243 2643 y Fw(already)e(found)h(in)g
12689 Fm(Jetset)p Fw(,)h(or)e(q)p 3584 2590 V(q)k Fn(!)244
12690 2752 y Fw(W)345 2715 y Fl(+)404 2752 y Fw(W)505 2715
12691 y Fk(\000)565 2752 y Fw(.)145 2869 y Fn(\017)k Fw(Standard)32
12692 b(mo)s(del)e(Higgs)h(pro)s(duction,)g(where)j(the)e(Higgs)f(is)g
12693 (reasonably)h(ligh)m(t)e(and)i(narro)m(w,)244 2978 y(and)h(can)f
12694 (therefore)i(still)c(b)s(e)j(considered)g(as)g(a)f(resonance.)145
12695 3095 y Fn(\017)49 b Fw(Gauge)30 b(b)s(oson)h(scattering)g(pro)s
12696 (cesses,)i(suc)m(h)g(as)e(WW)e Fn(!)f Fw(WW)q(,)k(when)g(the)f
12697 (Standard)g(Mo)s(del)244 3204 y(Higgs)i(is)h(so)h(hea)m(vy)g(and)g
12698 (broad)f(that)g(resonan)m(t)h(and)g(non-resonan)m(t)f(con)m(tributions)
12699 g(ha)m(v)m(e)i(to)244 3312 y(b)s(e)d(considered)g(together.)145
12700 3430 y Fn(\017)49 b Fw(Non-standard)j(Higgs)f(particle)g(pro)s
12701 (duction,)56 b(within)51 b(the)h(framew)m(ork)g(of)g(a)f(t)m(w)m
12702 (o-Higgs-)244 3538 y(doublet)32 b(scenario)h(with)f(three)h(neutral)f
12703 (and)h(t)m(w)m(o)g(c)m(harged)g(Higgs)f(states.)145 3656
12704 y Fn(\017)49 b Fw(Pro)s(duction)32 b(of)g(new)i(gauge)e(b)s(osons,)h
12705 (suc)m(h)h(as)f(a)f(Z)2166 3620 y Fk(0)2189 3656 y Fw(.)145
12706 3774 y Fn(\017)49 b Fw(Pro)s(duction)32 b(of)g(fourth-generation)f
12707 (fermions.)145 3892 y Fn(\017)49 b Fw(Lepto)s(quark)33
12708 b(pro)s(duction.)145 4009 y Fn(\017)49 b Fw(Deviations)40
12709 b(from)g(Standard)i(Mo)s(del)f(pro)s(cesses,)k(e.g.)71
12710 b(due)42 b(to)f(con)m(tact)h(in)m(teractions)f(or)g(a)244
12711 4118 y(strongly)c(in)m(teracting)g(gauge)g(b)s(oson)h(sector.)59
12712 b(These)40 b(scenarios)e(do)f(not)h(alw)m(a)m(ys)g(app)s(ear)f(as)244
12713 4226 y(separate)c(pro)s(cesses,)i(but)e(ma)m(y)f(just)h(b)s(e)g
12714 (options)f(to)g(some)g(of)h(the)g(pro)s(cesses)h(ab)s(o)m(v)m(e.)0
12715 4339 y(This)45 b(is)g(b)m(y)h(no)f(means)g(a)g(surv)m(ey)i(of)e(all)e
12716 (in)m(teresting)i(ph)m(ysics.)83 b(Most)45 b(notable)g(is)f(the)i
12717 (absence)0 4448 y(of)g(sup)s(ersymmetric)g(particle)f(pro)s(duction)h
12718 (and)g(deca)m(y)-8 b(,)52 b(but)46 b(man)m(y)h(other)f(examples)g
12719 (could)g(b)s(e)0 4556 y(found.)55 b(Also,)36 b(within)f(the)i
12720 (scenarios)g(studied,)g(not)f(all)f(con)m(tributing)g(graphs)h(ha)m(v)m
12721 (e)i(alw)m(a)m(ys)f(b)s(een)0 4664 y(included,)47 b(but)d(only)g(the)h
12722 (more)e(imp)s(ortan)m(t)f(and/or)i(more)f(in)m(teresting)h(ones.)79
12723 b(In)45 b(man)m(y)f(cases,)0 4773 y(v)-5 b(arious)32
12724 b(appro)m(ximations)f(are)h(in)m(v)m(olv)m(ed)h(in)f(the)h(matrix)e
12725 (elemen)m(ts)i(co)s(ded.)146 4881 y(The)h(cross)f(section)g(for)f(a)g
12726 (giv)m(en)h(pro)s(cess)h Fj(ij)g Fn(!)27 b Fj(k)36 b
12727 Fw(is)c(giv)m(en)h(b)m(y)1018 5113 y Fj(\033)1073 5128
12728 y Fh(ij)t Fk(!)p Fh(k)1271 5113 y Fw(=)1375 4995 y Fg(Z)1474
12729 5113 y Fw(d)p Fj(x)1583 5128 y Fl(1)1640 4995 y Fg(Z)1740
12730 5113 y Fw(d)p Fj(x)1849 5128 y Fl(2)1905 5113 y Fj(f)1964
12731 5071 y Fl(1)1953 5137 y Fh(i)2004 5113 y Fw(\()p Fj(x)2097
12732 5128 y Fl(1)2136 5113 y Fw(\))17 b Fj(f)2250 5071 y Fl(2)2239
12733 5137 y Fh(j)2289 5113 y Fw(\()p Fj(x)2382 5128 y Fl(2)2422
12734 5113 y Fw(\))k(^)-53 b Fj(\033)2532 5128 y Fh(ij)t Fk(!)p
12735 Fh(k)2734 5113 y Fj(:)894 b Fw(\(1\))0 5344 y(Here)31
12736 b(^)-54 b Fj(\033)29 b Fw(is)c(the)h(cross)g(section)f(for)g(the)h
12737 (hard)f(partonic)g(pro)s(cess,)j(as)d(co)s(di\014ed)g(in)g(the)g
12738 (matrix)f(elemen)m(ts)0 5453 y(for)40 b(eac)m(h)i(sp)s(eci\014c)g(pro)s
12739 (cess.)69 b(F)-8 b(or)40 b(pro)s(cesses)j(with)d(man)m(y)h(particles)f
12740 (in)g(the)h(\014nal)f(state)i(it)e(w)m(ould)0 5561 y(b)s(e)h(replaced)f
12741 (b)m(y)h(an)f(in)m(tegral)f(o)m(v)m(er)j(the)e(allo)m(w)m(ed)g
12742 (\014nal-state)f(phase)j(space.)68 b(The)41 b Fj(f)3261
12743 5525 y Fh(a)3250 5586 y(i)3302 5561 y Fw(\()p Fj(x)p
12744 Fw(\))g(are)f(the)0 5669 y(parton-distribution)j(functions,)48
12745 b(whic)m(h)e(describ)s(e)g(the)g(probabilit)m(y)d(to)i(\014nd)h(a)f
12746 (parton)g Fj(i)g Fw(inside)1841 5953 y(10)p eop
12747 %%Page: 11 17
12748 11 16 bop 0 -18 a Fw(b)s(eam)33 b(particle)e Fj(a)p Fw(,)j(with)f
12749 (parton)g Fj(i)g Fw(carrying)g(a)g(fraction)f Fj(x)i
12750 Fw(of)f(the)g(total)f Fj(a)h Fw(momen)m(tum.)44 b(Actually)-8
12751 b(,)0 90 y(parton)27 b(distributions)e(also)i(dep)s(end)h(on)f(some)g
12752 (momen)m(tum)e(scale)i Fj(Q)2577 54 y Fl(2)2644 90 y
12753 Fw(that)g(c)m(haracterizes)h(the)f(hard)0 198 y(pro)s(cess.)146
12754 307 y(P)m(arton)37 b(distributions)e(are)h(most)g(familiar)c(for)k
12755 (hadrons,)i(suc)m(h)g(as)e(the)h(proton.)55 b(Hadrons)36
12756 b(are)0 415 y(inheren)m(tly)29 b(comp)s(osite)f(ob)5
12757 b(jects,)31 b(made)d(up)i(of)e(quarks)i(and)g(gluons.)41
12758 b(Since)29 b(w)m(e)h(do)f(not)g(understand)0 523 y(QCD,)i(a)g(deriv)-5
12759 b(ation)29 b(from)h(\014rst)i(principles)e(of)h(hadron)g(parton)g
12760 (distributions)e(do)s(es)j(not)f(y)m(et)h(exist,)0 632
12761 y(although)37 b(some)h(progress)h(is)f(b)s(eing)g(made)g(in)f(lattice)g
12762 (QCD)h(studies.)61 b(It)38 b(is)g(therefore)h(necessary)0
12763 740 y(to)g(rely)h(on)f(parametrizations,)g(where)i(exp)s(erimen)m(tal)d
12764 (data)i(are)f(used)i(in)e(conjunction)g(with)g(the)0
12765 848 y(ev)m(olution)29 b(equations)g(for)g(the)h Fj(Q)1241
12766 812 y Fl(2)1310 848 y Fw(dep)s(endence,)j(to)c(pin)g(do)m(wn)h(the)g
12767 (parton)f(distributions.)41 b(Sev)m(eral)0 957 y(di\013eren)m(t)32
12768 b(groups)g(ha)m(v)m(e)h(therefore)g(pro)s(duced)g(their)e(o)m(wn)h
12769 (\014ts,)h(based)g(on)f(sligh)m(tly)e(di\013eren)m(t)i(sets)h(of)0
12770 1065 y(data,)f(and)h(with)f(some)h(v)-5 b(ariation)30
12771 b(in)i(the)h(theoretical)e(assumptions.)146 1173 y(Also)22
12772 b(for)f(fundamen)m(tal)g(particles,)j(suc)m(h)f(as)f(the)h(electron,)h
12773 (is)d(it)g(con)m(v)m(enien)m(t)j(to)e(in)m(tro)s(duce)g(parton)0
12774 1282 y(distributions.)40 b(The)29 b(function)e Fj(f)1238
12775 1245 y Fl(e)1227 1306 y(e)1273 1282 y Fw(\()p Fj(x)p
12776 Fw(\))h(th)m(us)g(parametrizes)f(the)h(probabilit)m(y)e(that)h(the)h
12777 (electron)g(that)0 1390 y(tak)m(es)38 b(part)f(in)f(the)h(hard)g(pro)s
12778 (cess)h(retains)e(a)h(fraction)e Fj(x)j Fw(of)e(the)h(original)d
12779 (energy)-8 b(,)39 b(the)e(rest)g(b)s(eing)0 1498 y(radiated)25
12780 b(\(in)m(to)h(photons\))g(in)g(the)g(initial)d(state.)42
12781 b(Of)25 b(course,)k(suc)m(h)f(radiation)c(could)h(equally)h(w)m(ell)f
12782 (b)s(e)0 1607 y(made)33 b(part)g(of)g(the)h(hard)g(in)m(teraction,)f
12783 (but)g(the)h(parton-distribution)d(approac)m(h)j(usually)f(is)g(m)m(uc)
12784 m(h)0 1715 y(more)40 b(con)m(v)m(enien)m(t.)68 b(If)41
12785 b(need)g(b)s(e,)i(a)d(description)g(with)g(fundamen)m(tal)g(electrons)g
12786 (is)g(reco)m(v)m(ered)j(for)0 1823 y(the)35 b(c)m(hoice)g
12787 Fj(f)521 1787 y Fl(e)510 1848 y(e)556 1823 y Fw(\()p
12788 Fj(x;)17 b(Q)770 1787 y Fl(2)810 1823 y Fw(\))31 b(=)g
12789 Fj(\016)t Fw(\()p Fj(x)23 b Fn(\000)h Fw(1\).)49 b(Note)35
12790 b(that,)g(con)m(trary)g(to)f(the)h(proton)f(case,)i(electron)f(parton)0
12791 1932 y(distributions)h(are)h(calculable)e(from)h(\014rst)h(principles,)
12792 g(and)g(reduce)i(to)d(the)i Fj(\016)j Fw(function)36
12793 b(ab)s(o)m(v)m(e)i(for)0 2040 y Fj(Q)77 2004 y Fl(2)144
12794 2040 y Fn(!)28 b Fw(0.)146 2148 y(The)g(electron)f(ma)m(y)g(also)f(con)
12795 m(tain)h(photons,)i(and)e(the)g(photon)h(ma)m(y)e(in)h(its)f(turn)i
12796 (con)m(tain)e(quarks)0 2257 y(and)40 b(gluons.)65 b(The)41
12797 b(in)m(ternal)d(structure)j(of)f(the)g(photon)g(is)f(a)h(bit)f(of)g(a)h
12798 (problem,)g(since)h(the)f(pho-)0 2365 y(ton)45 b(con)m(tains)h(a)f(p)s
12799 (oin)m(t-lik)m(e)e(part,)48 b(whic)m(h)e(is)f(p)s(erturbativ)m(ely)g
12800 (calculable,)i(and)f(a)f(v)m(ector-meson)0 2473 y(dominance)39
12801 b(part,)i(whic)m(h)f(is)f(not.)65 b(Normally)-8 b(,)39
12802 b(the)h(photon)g(parton)f(distributions)f(are)i(therefore)0
12803 2582 y(parametrized,)30 b(just)i(as)f(the)g(hadron)g(ones.)43
12804 b(Since)31 b(the)h(electron)e(ultimately)e(con)m(tains)j(quarks)h(and)0
12805 2690 y(gluons,)48 b(hard)d(QCD)g(pro)s(cesses)i(lik)m(e)d(qg)50
12806 b Fn(!)f Fw(qg)d(therefore)g(not)f(only)f(app)s(ear)h(in)g(pp)g
12807 (collisions,)0 2798 y(but)39 b(also)e(in)h(ep)g(ones)h(\(`resolv)m(ed)h
12808 (photopro)s(duction'\))d(and)i(in)e(e)2478 2762 y Fl(+)2538
12809 2798 y Fw(e)2581 2762 y Fk(\000)2678 2798 y Fw(ones)i(\(`doubly)g
12810 (resolv)m(ed)g(2)p Fj(\015)0 2907 y Fw(ev)m(en)m(ts'\).)59
12811 b(The)38 b(parton)f(distribution)e(function)h(approac)m(h)i(here)g(mak)
12812 m(es)f(it)f(m)m(uc)m(h)i(easier)f(to)f(reuse)0 3015 y(one)d(and)g(the)g
12813 (same)f(hard)h(pro)s(cess)g(in)f(di\013eren)m(t)h(con)m(texts.)146
12814 3123 y(There)i(is)d(also)g(another)h(kind)g(of)g(p)s(ossible)f
12815 (generalization.)42 b(The)34 b(t)m(w)m(o)g(pro)s(cesses)h(q)p
12816 3301 3071 52 4 v(q)29 b Fn(!)f Fj(\015)3565 3087 y Fk(\003)3605
12817 3123 y Fj(=)p Fw(Z)3714 3087 y Fl(0)3752 3123 y Fw(,)0
12818 3232 y(studied)e(in)e(hadron)i(colliders,)f(and)g(e)1391
12819 3196 y Fl(+)1451 3232 y Fw(e)1494 3196 y Fk(\000)1581
12820 3232 y Fn(!)i Fj(\015)1764 3196 y Fk(\003)1804 3232 y
12821 Fj(=)p Fw(Z)1913 3196 y Fl(0)1951 3232 y Fw(,)g(studied)f(in)f(e)2490
12822 3196 y Fl(+)2549 3232 y Fw(e)2592 3196 y Fk(\000)2677
12823 3232 y Fw(colliders,)g(are)g(really)f(sp)s(ecial)0 3351
12824 y(cases)39 b(of)f(a)g(common)f(pro)s(cess,)k(f)p 1261
12825 3272 37 4 v 7 w(f)i Fn(!)37 b Fj(\015)1527 3315 y Fk(\003)1566
12826 3351 y Fj(=)p Fw(Z)1675 3315 y Fl(0)1714 3351 y Fw(,)j(where)f(f)45
12827 b(denotes)39 b(a)f(fundamen)m(tal)f(fermion,)h(i.e.)60
12828 b(a)0 3459 y(quark,)42 b(lepton)d(or)g(neutrino.)64 b(The)40
12829 b(whole)g(structure)g(is)f(therefore)h(only)f(co)s(ded)h(once,)i(and)e
12830 (then)0 3567 y(sligh)m(tly)32 b(di\013eren)m(t)i(couplings)f(and)h
12831 (colour)f(prefactors)i(are)e(used,)j(dep)s(ending)e(on)g(the)g(initial)
12832 c(state)0 3676 y(considered.)76 b(Usually)43 b(the)g(in)m(teresting)g
12833 (cross)h(section)g(is)f(a)f(sum)i(o)m(v)m(er)g(sev)m(eral)g(di\013eren)
12834 m(t)f(initial)0 3784 y(states,)33 b(e.g.)43 b(u)p 547
12835 3731 55 4 v(u)28 b Fn(!)g Fj(\015)813 3748 y Fk(\003)852
12836 3784 y Fj(=)p Fw(Z)961 3748 y Fl(0)1031 3784 y Fw(and)k(d)p
12837 1274 3705 V(d)c Fn(!)f Fj(\015)1539 3748 y Fk(\003)1579
12838 3784 y Fj(=)p Fw(Z)1688 3748 y Fl(0)1758 3784 y Fw(in)k(a)g(hadron)h
12839 (collider.)41 b(This)32 b(kind)f(of)g(summation)f(is)0
12840 3893 y(alw)m(a)m(ys)j(implicitly)28 b(done,)34 b(ev)m(en)g(when)f(not)g
12841 (explicitly)e(men)m(tioned)h(in)g(the)h(text.)0 4166
12842 y Fp(2.2)135 b(Initial-)47 b(and)d(Final-State)i(Radiation)0
12843 4339 y Fw(In)27 b(ev)m(ery)i(pro)s(cess)g(that)e(con)m(tains)g
12844 (coloured)g(and/or)f(c)m(harged)i(ob)5 b(jects)29 b(in)d(the)h(initial)
12845 d(or)j(\014nal)f(state,)0 4447 y(gluon)e(and/or)g(photon)g(radiation)e
12846 (ma)m(y)j(giv)m(e)f(large)g(corrections)g(to)g(the)h(o)m(v)m(erall)f
12847 (top)s(ology)f(of)h(ev)m(en)m(ts.)0 4556 y(Starting)32
12848 b(from)g(a)g(basic)h(2)c Fn(!)f Fw(2)k(pro)s(cess,)j(this)e(kind)g(of)f
12849 (corrections)h(will)e(generate)j(2)28 b Fn(!)g Fw(3,)33
12850 b(2)c Fn(!)f Fw(4,)0 4664 y(and)38 b(so)g(on,)h(\014nal-state)d(top)s
12851 (ologies.)57 b(As)38 b(the)g(a)m(v)-5 b(ailable)36 b(energies)i(are)f
12852 (increased,)j(hard)e(emission)0 4772 y(of)29 b(this)h(kind)g(is)f
12853 (increasingly)f(imp)s(ortan)m(t,)h(relativ)m(e)g(to)h(fragmen)m
12854 (tation,)e(in)h(determining)f(the)j(ev)m(en)m(t)0 4881
12855 y(structure.)146 4989 y(Tw)m(o)i(traditional)28 b(approac)m(hes)33
12856 b(exist)f(to)f(the)h(mo)s(delling)c(of)j(p)s(erturbativ)m(e)h
12857 (corrections.)43 b(One)32 b(is)0 5098 y(the)k(matrix-elemen)m(t)d
12858 (metho)s(d,)i(in)f(whic)m(h)i(F)-8 b(eynman)35 b(diagrams)f(are)h
12859 (calculated,)g(order)g(b)m(y)h(order.)0 5206 y(In)47
12860 b(principle,)i(this)d(is)g(the)h(correct)h(approac)m(h,)i(whic)m(h)e
12861 (tak)m(es)f(in)m(to)f(accoun)m(t)i(exact)f(kinematics,)0
12862 5314 y(and)42 b(the)h(full)e(in)m(terference)i(and)f(helicit)m(y)f
12863 (structure.)74 b(The)44 b(only)d(problem)h(is)f(that)h(calculations)0
12864 5423 y(b)s(ecome)35 b(increasingly)f(di\016cult)g(in)g(higher)g
12865 (orders,)i(in)f(particular)e(for)h(the)h(lo)s(op)f(graphs.)51
12866 b(Only)34 b(in)0 5531 y(exceptional)41 b(cases)i(ha)m(v)m(e)g
12867 (therefore)f(more)e(than)i(one)g(lo)s(op)e(b)s(een)i(calculated)e(in)h
12868 (full,)h(and)f(often)0 5639 y(w)m(e)c(do)e(not)h(ha)m(v)m(e)h(an)m(y)f
12869 (lo)s(op)f(corrections)g(at)h(all)d(at)j(our)f(disp)s(osal.)52
12870 b(On)36 b(the)g(other)g(hand,)g(w)m(e)h(ha)m(v)m(e)1841
12871 5953 y(11)p eop
12872 %%Page: 12 18
12873 12 17 bop 0 -18 a Fw(indirect)41 b(but)h(strong)h(evidence)g(that,)h
12874 (in)d(fact,)k(the)d(emission)f(of)g(m)m(ultiple)f(soft)i(gluons)f(pla)m
12875 (ys)i(a)0 90 y(signi\014can)m(t)37 b(r^)-49 b(ole)37
12876 b(in)g(building)f(up)i(the)g(ev)m(en)m(t)i(structure,)g(e.g.)60
12877 b(at)37 b(LEP)-8 b(,)39 b(and)f(this)f(sets)i(a)f(limit)c(to)0
12878 198 y(the)j(applicabilit)m(y)d(of)i(matrix)f(elemen)m(ts.)57
12879 b(Since)37 b(the)g(phase)h(space)f(a)m(v)-5 b(ailable)35
12880 b(for)h(gluon)g(emission)0 307 y(increases)41 b(with)f(the)h(a)m(v)-5
12881 b(ailable)38 b(energy)-8 b(,)44 b(the)d(matrix-elemen)m(t)d(approac)m
12882 (h)j(b)s(ecomes)g(less)g(relev)-5 b(an)m(t)0 415 y(for)27
12883 b(the)h(full)d(structure)k(of)e(ev)m(en)m(ts)j(at)d(higher)g(energies.)
12884 42 b(Ho)m(w)m(ev)m(er,)31 b(the)d(p)s(erturbativ)m(e)g(expansion)g(b)m
12885 (y)0 523 y(itself)i(is)i(b)s(etter)g(b)s(eha)m(v)m(ed)h(at)e(higher)g
12886 (energies,)i(o)m(wing)e(to)g(the)h(running)f(of)h Fj(\013)2909
12887 538 y Fl(s)2941 523 y Fw(.)43 b(As)32 b(a)f(consequence,)0
12888 632 y(inclusiv)m(e)h(measuremen)m(ts,)i(e.g.)43 b(of)32
12889 b(the)h(rate)g(of)f(w)m(ell-separated)g(jets,)h(should)f(yield)g(more)g
12890 (reliable)0 740 y(results.)146 848 y(The)i(second)g(p)s(ossible)d
12891 (approac)m(h)i(is)f(the)h(parton-sho)m(w)m(er)h(one.)44
12892 b(Here)33 b(an)f(arbitrary)g(n)m(um)m(b)s(er)h(of)0 957
12893 y(branc)m(hings)i(of)e(one)i(parton)f(in)m(to)f(t)m(w)m(o)i(\(or)f
12894 (more\))g(ma)m(y)g(b)s(e)g(put)h(together,)g(to)f(yield)f(a)h
12895 (description)0 1065 y(of)27 b(m)m(ultijet)f(ev)m(en)m(ts,)31
12896 b(with)d(no)f(explicit)g(upp)s(er)h(limit)c(on)k(the)g(n)m(um)m(b)s(er)
12897 g(of)g(partons)g(in)m(v)m(olv)m(ed.)42 b(This)28 b(is)0
12898 1173 y(p)s(ossible)33 b(since)h(the)h(full)d(matrix-elemen)m(t)f
12899 (expressions)36 b(are)e(not)f(used,)j(but)e(only)f(appro)m(ximations)0
12900 1282 y(deriv)m(ed)d(b)m(y)f(simplifying)d(the)j(kinematics,)f(and)h
12901 (the)g(in)m(terference)h(and)f(helicit)m(y)f(structure.)43
12902 b(P)m(arton)0 1390 y(sho)m(w)m(ers)27 b(are)d(therefore)h(exp)s(ected)h
12903 (to)f(giv)m(e)f(a)g(go)s(o)s(d)f(description)h(of)g(the)h(substructure)
12904 i(of)d(jets,)j(but)d(in)0 1498 y(principle)31 b(the)i(sho)m(w)m(er)h
12905 (approac)m(h)f(has)f(limited)e(predictiv)m(e)i(p)s(o)m(w)m(er)i(for)e
12906 (the)g(rate)h(of)f(w)m(ell-separated)0 1607 y(jets)42
12907 b(\(i.e.)71 b(the)42 b(2/3/4/5-jet)e(comp)s(osition\).)69
12908 b(In)42 b(practice,)i(sho)m(w)m(er)g(programs)d(ma)m(y)g(b)s(e)h(patc)m
12909 (hed)0 1715 y(up)33 b(to)f(describ)s(e)i(the)f(hard-gluon)e(emission)g
12910 (region)h(reasonably)h(w)m(ell,)f(in)g(particular)f(for)h(the)h(e)3618
12911 1679 y Fl(+)3677 1715 y Fw(e)3720 1679 y Fk(\000)0 1823
12912 y Fw(annihilation)e(pro)s(cess.)50 b(Nev)m(ertheless,)38
12913 b(the)d(sho)m(w)m(er)h(description)e(is)g(not)h(optimal)c(for)j
12914 (absolute)g Fj(\013)3747 1838 y Fl(s)0 1932 y Fw(determinations.)146
12915 2040 y(Th)m(us)i(the)f(t)m(w)m(o)g(approac)m(hes)h(are)e(complemen)m
12916 (tary)g(in)f(man)m(y)i(resp)s(ects,)h(and)f(b)s(oth)f(ha)m(v)m(e)h
12917 (found)0 2148 y(use.)44 b(Ho)m(w)m(ev)m(er,)35 b(b)s(ecause)f(of)d(its)
12918 h(simplicit)m(y)e(and)i(\015exibilit)m(y)-8 b(,)31 b(the)h(parton-sho)m
12919 (w)m(er)h(option)f(is)f(gener-)0 2257 y(ally)h(the)h(\014rst)h(c)m
12920 (hoice,)g(while)e(the)h(matrix)f(elemen)m(ts)i(one)f(is)g(mainly)e
12921 (used)j(for)f Fj(\013)3053 2272 y Fl(s)3118 2257 y Fw(determinations,)0
12922 2365 y(angular)26 b(distribution)f(of)h(jets,)j(triple-gluon)24
12923 b(v)m(ertex)29 b(studies,)g(and)e(other)g(sp)s(ecialized)f(studies.)42
12924 b(Ob-)0 2473 y(viously)-8 b(,)41 b(the)e(ultimate)e(goal)h(w)m(ould)h
12925 (b)s(e)h(to)f(ha)m(v)m(e)h(an)g(approac)m(h)f(where)i(the)f(b)s(est)g
12926 (asp)s(ects)g(of)f(the)0 2582 y(t)m(w)m(o)33 b(w)m(orlds)g(are)g
12927 (harmoniously)d(married.)0 2829 y Fo(2.2.1)112 b(Matrix)37
12928 b(elemen)m(ts)0 3002 y Fw(Matrix)31 b(elemen)m(ts)h(are)f(esp)s
12929 (ecially)g(made)g(use)h(of)f(in)g(the)h Fm(Jetset)e Fw(implemen)m
12930 (tation)e(of)j(the)h(pro)s(cess)0 3111 y(e)43 3074 y
12931 Fl(+)102 3111 y Fw(e)145 3074 y Fk(\000)232 3111 y Fn(!)c
12932 Fj(\015)416 3074 y Fk(\003)455 3111 y Fj(=)p Fw(Z)564
12933 3074 y Fl(0)631 3111 y Fn(!)f Fw(q)p 809 3058 52 4 v(q)q(.)146
12934 3219 y(F)-8 b(or)34 b(initial-state)d(QED)j(radiation,)f(a)h(\014rst)h
12935 (order)g(\(unexp)s(onen)m(tiated\))h(description)e(has)h(b)s(een)0
12936 3327 y(adopted.)53 b(This)36 b(means)g(that)f(ev)m(en)m(ts)j(are)e(sub)
12937 s(divided)f(in)m(to)g(t)m(w)m(o)h(classes,)i(those)e(where)h(a)e
12938 (photon)0 3436 y(is)e(radiated)f(ab)s(o)m(v)m(e)i(some)f(minim)m(um)c
12939 (energy)-8 b(,)35 b(and)e(those)h(without)e(suc)m(h)j(a)e(photon.)45
12940 b(In)33 b(the)g(latter)0 3544 y(class,)28 b(the)g(soft)f(and)g(virtual)
12941 f(corrections)h(ha)m(v)m(e)h(b)s(een)g(lump)s(ed)e(together)h(to)g(giv)
12942 m(e)g(a)g(total)f(ev)m(en)m(t)j(rate)0 3652 y(that)k(is)f(correct)h(up)
12943 g(to)g(one)g(lo)s(op.)42 b(This)33 b(approac)m(h)h(w)m(ork)m(ed)g
12944 (\014ne)g(at)e(PETRA/PEP)j(energies,)e(but)0 3761 y(do)s(es)e(not)g(do)
12945 g(so)g(w)m(ell)f(for)h(the)g(Z)1212 3724 y Fl(0)1282
12946 3761 y Fw(line)f(shap)s(e,)i(i.e.)42 b(in)30 b(regions)h(where)h(the)f
12947 (cross)h(section)f(is)g(rapidly)0 3869 y(v)-5 b(arying)32
12948 b(and)h(high)e(precision)h(is)g(striv)m(ed)i(for.)146
12949 3977 y(F)-8 b(or)26 b(\014nal-state)g(QCD)g(radiation,)f(sev)m(eral)j
12950 (options)e(are)g(a)m(v)-5 b(ailable.)39 b(The)27 b(default)f(is)g(the)h
12951 (parton-)0 4086 y(sho)m(w)m(er)34 b(one)f(\(see)h(b)s(elo)m(w\),)f(but)
12952 g(the)g(matrix-elemen)m(ts)e(options)h(are)h(also)e(frequen)m(tly)j
12953 (used.)45 b(In)33 b(the)0 4194 y(de\014nition)38 b(of)h(3-)g(or)g
12954 (4-jet)f(ev)m(en)m(ts,)43 b(a)c(cut)h(is)f(in)m(tro)s(duced)g(whereb)m
12955 (y)j(it)c(is)h(required)h(that)f(an)m(y)h(t)m(w)m(o)0
12956 4302 y(partons)48 b(ha)m(v)m(e)h(an)f(in)m(v)-5 b(arian)m(t)46
12957 b(mass)i(bigger)e(than)i(some)g(fraction)e(of)i(the)g(c.m.)88
12958 b(energy)-8 b(.)90 b(3-jet)0 4411 y(ev)m(en)m(ts)43 b(whic)m(h)e(do)f
12959 (not)h(ful\014ll)d(this)i(requiremen)m(t)h(are)f(lump)s(ed)g(with)g
12960 (the)h(2-jet)f(ones.)68 b(The)41 b(\014rst-)0 4519 y(order)e
12961 (matrix-elemen)m(t)e(option,)j(whic)m(h)g(only)e(con)m(tains)h(3-)g
12962 (and)g(2-jet)g(ev)m(en)m(ts)i(therefore)f(in)m(v)m(olv)m(es)0
12963 4627 y(no)34 b(am)m(biguities.)45 b(In)34 b(second)h(order,)f(where)h
12964 (also)e(4-jets)h(ha)m(v)m(e)h(to)f(b)s(e)g(considered,)h(a)e(main)g
12965 (issue)h(is)0 4736 y(what)29 b(to)g(do)g(with)g(4-jet)g(ev)m(en)m(ts)i
12966 (that)e(fail)e(the)i(cuts.)44 b(Dep)s(ending)28 b(on)h(the)h(c)m(hoice)
12967 g(of)e(recom)m(bination)0 4844 y(sc)m(heme,)45 b(whereb)m(y)e(the)f(t)m
12968 (w)m(o)g(nearb)m(y)g(partons)g(are)f(joined)g(in)m(to)f(one,)k
12969 (di\013eren)m(t)d(3-jet)g(ev)m(en)m(ts)i(are)0 4952 y(pro)s(duced.)h
12970 (Therefore)33 b(the)f(second-order)g(di\013eren)m(tial)e(3-jet)h(rate)h
12971 (has)g(b)s(een)g(the)g(sub)5 b(ject)33 b(of)f(some)0
12972 5061 y(con)m(tro)m(v)m(ersy)-8 b(,)35 b(and)e Fm(Jetset)e
12973 Fw(actually)g(con)m(tains)i(t)m(w)m(o)g(di\013eren)m(t)g(implemen)m
12974 (tations.)146 5169 y(By)44 b(con)m(trast,)i Fm(Pythia)d
12975 Fw(do)s(es)g(not)g(con)m(tain)g(an)m(y)g(full)e(higher-order)i(matrix)e
12976 (elemen)m(ts,)46 b(with)0 5277 y(lo)s(op)24 b(con)m(tributions)g
12977 (included.)41 b(There)26 b(are)f(a)g(few)h(cases)h(where)f
12978 (higher-order)e(matrix)g(elemen)m(ts)h(are)0 5386 y(included)33
12979 b(at)h(the)g(Born)f(lev)m(el.)46 b(Consider)35 b(e.g.)46
12980 b(the)34 b(case)h(of)e(W)i(pro)s(duction)e(at)h(a)f(hadron)h(collider,)
12981 0 5494 y(whic)m(h)45 b(is)e(con)m(tained)i(in)e(the)i(lo)m(w)m
12982 (est-order)f(pro)s(cess)i(q)p 2121 5441 V(q)2173 5458
12983 y Fk(0)2243 5494 y Fn(!)i Fw(W)q(.)78 b(In)45 b(an)f(inclusiv)m(e)g
12984 (description,)0 5602 y(additional)39 b(jets)j(recoiling)d(against)i
12985 (the)h(W)h(ma)m(y)e(b)s(e)h(generated)h(b)m(y)f(parton)f(sho)m(w)m
12986 (ers.)73 b Fm(Pythia)1841 5953 y Fw(12)p eop
12987 %%Page: 13 19
12988 13 18 bop 0 -18 a Fw(also)34 b(con)m(tains)h(the)g(t)m(w)m(o)g
12989 (\014rst-order)g(pro)s(cesses)i(qg)c Fn(!)e Fw(Wq)2236
12990 -55 y Fk(0)2295 -18 y Fw(and)k(q)p 2538 -71 52 4 v(q)2590
12991 -55 y Fk(0)2645 -18 y Fn(!)c Fw(Wg)q(.)50 b(The)36 b(cross)g(sections)0
12992 90 y(for)j(these)j(pro)s(cesses)f(are)f(div)m(ergen)m(t)h(when)g(the)g
12993 Fj(p)1932 105 y Fk(?)2031 90 y Fn(!)e Fw(0.)66 b(In)40
12994 b(this)f(region)g(a)h(correct)h(treatmen)m(t)0 198 y(w)m(ould)i
12995 (therefore)h(ha)m(v)m(e)g(to)f(tak)m(e)h(in)m(to)e(accoun)m(t)i(lo)s
12996 (op)e(corrections,)k(whic)m(h)e(are)f(not)g(a)m(v)-5
12997 b(ailable)40 b(in)0 307 y Fm(Pythia)p Fw(.)68 b(Dep)s(ending)40
12998 b(on)g(the)h(ph)m(ysics)i(application,)d(one)h(could)f(then)h(use)g
12999 Fm(Pythia)g Fw(in)f(one)h(of)0 415 y(t)m(w)m(o)32 b(w)m(a)m(ys.)45
13000 b(In)32 b(the)h(region)d(of)i(small)d Fj(p)1451 430 y
13001 Fk(?)1510 415 y Fw(,)j(the)g(preferred)h(option)e(is)g(lo)m(w)m
13002 (est-order)h(matrix)e(elemen)m(ts)0 523 y(com)m(bined)d(with)g(parton)h
13003 (sho)m(w)m(ers.)44 b(F)-8 b(or)26 b(the)i(pro)s(duction)f(of)g(a)g(W)i
13004 (at)e(large)g Fj(p)2884 538 y Fk(?)2943 523 y Fw(,)h(on)g(the)f(other)h
13005 (hand,)0 632 y(the)g(sho)m(w)m(er)g(approac)m(h)g(is)f(to)s(o)f
13006 (imprecise)g(to)h(giv)m(e)g(the)h(righ)m(t)e(cross)i(section;)h
13007 (additionally)24 b(the)k(ev)m(en)m(t)0 740 y(selection)44
13008 b(mac)m(hinery)h(is)g(v)m(ery)h(ine\016cien)m(t.)80 b(Here)46
13009 b(it)e(is)g(adv)-5 b(an)m(tageous)45 b(to)g(generate)g(\014rst-order)0
13010 848 y(ev)m(en)m(ts,)35 b(and)e(then)g(add)g(sho)m(w)m(ers)h(only)e(to)h
13011 (describ)s(e)g(additional)c(softer)k(radiation.)0 1096
13012 y Fo(2.2.2)112 b(P)m(arton)37 b(sho)m(w)m(ers)0 1269
13013 y Fw(The)47 b(separation)f(of)g(radiation)f(in)m(to)g(initial-)d(and)47
13014 b(\014nal-state)f(sho)m(w)m(ers)i(is)e(arbitrary)-8 b(,)49
13015 b(but)e(v)m(ery)0 1377 y(con)m(v)m(enien)m(t.)65 b(There)41
13016 b(are)e(also)f(situations)g(where)j(it)d(is)h(appropriate:)56
13017 b(for)38 b(instance,)k(the)d(pro)s(cess)0 1485 y(e)43
13018 1449 y Fl(+)102 1485 y Fw(e)145 1449 y Fk(\000)244 1485
13019 y Fn(!)g Fw(Z)443 1449 y Fl(0)521 1485 y Fn(!)f Fw(q)p
13020 710 1433 V(q)i(only)f(con)m(tains)g(\014nal-state)g(QCD)g(radiation)e
13021 (\(QED)i(radiation,)g(ho)m(w)m(ev)m(er,)k(is)0 1594 y(p)s(ossible)33
13022 b(b)s(oth)h(in)f(the)h(initial)d(and)j(\014nal)f(state\),)h(while)g(q)p
13023 2190 1541 V(q)c Fn(!)g Fw(Z)2461 1558 y Fl(0)2530 1594
13024 y Fn(!)g Fw(e)2703 1558 y Fl(+)2762 1594 y Fw(e)2805
13025 1558 y Fk(\000)2898 1594 y Fw(only)k(con)m(tains)g(initial-)0
13026 1702 y(state)c(QCD)f(one.)42 b(Similarly)-8 b(,)26 b(the)k(distinction)
13027 d(of)i(emission)f(as)h(coming)f(either)h(from)f(the)h(q)h(or)f(from)0
13028 1810 y(the)p 171 1758 V 36 w(q)35 b(is)g(arbitrary)-8
13029 b(.)51 b(In)35 b(general,)h(the)f(assignmen)m(t)g(of)g(radiation)e(to)i
13030 (a)g(giv)m(en)g(mother)g(parton)g(is)g(a)0 1919 y(go)s(o)s(d)f(appro)m
13031 (ximation)f(for)h(an)h(emission)f(close)h(to)g(the)g(direction)f(of)h
13032 (motion)e(of)i(that)g(parton,)g(but)0 2027 y(not)26 b(for)f(the)i
13033 (wide-angle)e(emission)f(in)i(b)s(et)m(w)m(een)i(t)m(w)m(o)e(jets,)i
13034 (where)f(in)m(terference)h(terms)e(are)g(exp)s(ected)0
13035 2135 y(to)32 b(b)s(e)h(imp)s(ortan)m(t.)146 2244 y(In)j(b)s(oth)g
13036 (initial-)31 b(and)36 b(\014nal-state)f(sho)m(w)m(ers,)k(the)d
13037 (structure)h(is)e(giv)m(en)h(in)f(terms)h(of)f(branc)m(hings)0
13038 2352 y Fj(a)28 b Fn(!)f Fj(bc)p Fw(,)f(sp)s(eci\014cally)c(e)28
13039 b Fn(!)g Fw(e)p Fj(\015)5 b Fw(,)25 b(q)j Fn(!)g Fw(qg)q(,)d(q)k
13040 Fn(!)e Fw(q)p Fj(\015)5 b Fw(,)26 b(g)i Fn(!)g Fw(gg)q(,)d(and)e(g)29
13041 b Fn(!)e Fw(q)p 2695 2299 V(q)q(.)41 b(Eac)m(h)24 b(of)f(these)h(pro)s
13042 (cesses)0 2460 y(is)32 b(c)m(haracterized)h(b)m(y)h(a)e(splitting)e(k)m
13043 (ernel)k Fj(P)1644 2475 y Fh(a)p Fk(!)p Fh(bc)1816 2460
13044 y Fw(\()p Fj(z)t Fw(\).)44 b(The)34 b(branc)m(hing)e(rate)h(is)f(prop)s
13045 (ortional)e(to)i(the)0 2569 y(in)m(tegral)359 2498 y
13046 Fg(R)430 2569 y Fj(P)493 2584 y Fh(a)p Fk(!)p Fh(bc)666
13047 2569 y Fw(\()p Fj(z)t Fw(\))17 b(d)p Fj(z)t Fw(.)56 b(The)37
13048 b Fj(z)k Fw(v)-5 b(alue)35 b(pic)m(k)m(ed)i(for)f(a)g(branc)m(hing)g
13049 (describ)s(es)h(the)g(energy)g(sharing,)0 2677 y(with)d(daugh)m(ter)i
13050 Fj(b)f Fw(taking)f(a)h(fraction)e Fj(z)40 b Fw(and)35
13051 b(daugh)m(ter)g Fj(c)g Fw(the)g(remaining)e(1)23 b Fn(\000)h
13052 Fj(z)40 b Fw(of)34 b(the)h Fj(a)g Fw(energy)-8 b(.)0
13053 2785 y(Once)33 b(formed,)f(the)h(daugh)m(ters)h Fj(b)f
13054 Fw(and)g Fj(c)f Fw(ma)m(y)g(in)g(turn)h(branc)m(h,)h(and)e(so)h(on.)146
13055 2894 y(Eac)m(h)f(parton)f(is)f(c)m(haracterized)i(b)m(y)f(some)g
13056 (virtualit)m(y)e(scale)i Fj(Q)2502 2858 y Fl(2)2542 2894
13057 y Fw(,)g(whic)m(h)g(giv)m(es)h(an)e(appro)m(ximate)0
13058 3002 y(sense)i(of)f(time)e(ordering)h(to)g(the)h(cascade.)44
13059 b(In)31 b(the)g(initial-state)c(sho)m(w)m(er,)33 b Fj(Q)2862
13060 2966 y Fl(2)2932 3002 y Fw(v)-5 b(alues)31 b(are)f(gradually)0
13061 3111 y(increasing)35 b(as)g(the)h(hard)f(scattering)g(is)g(approac)m
13062 (hed,)i(while)d Fj(Q)2418 3074 y Fl(2)2493 3111 y Fw(is)h(decreasing)h
13063 (in)f(the)g(\014nal-state)0 3219 y(sho)m(w)m(ers.)53
13064 b(Sho)m(w)m(er)36 b(ev)m(olution)e(is)g(cut)h(o\013)g(at)f(some)h(lo)m
13065 (w)m(er)g(scale)g Fj(Q)2516 3234 y Fl(0)2556 3219 y Fw(,)g(t)m
13066 (ypically)f(around)h(1)f(GeV)h(for)0 3327 y(QCD)29 b(branc)m(hings.)43
13067 b(The)30 b(same)e(cut-o\013)h(scale)g(is)g(also)f(used)i(to)f
13068 (regularize)e(the)j(soft)f(gluon)f(emission)0 3436 y(div)m(ergences)40
13069 b(in)d(the)i(splitting)c(k)m(ernels.)61 b(F)-8 b(rom)37
13070 b(ab)s(o)m(v)m(e,)j(a)e(maxim)m(um)e(scale)i Fj(Q)3020
13071 3451 y Fl(max)3194 3436 y Fw(is)f(in)m(tro)s(duced,)0
13072 3544 y(where)c(the)f(sho)m(w)m(ers)i(are)d(matc)m(hed)h(to)g(the)g
13073 (hard)f(in)m(teraction)g(itself.)42 b(The)32 b(relation)e(b)s(et)m(w)m
13074 (een)k Fj(Q)3644 3559 y Fl(max)0 3652 y Fw(and)e(the)g(kinematics)f(of)
13075 g(the)h(hard)g(scattering)g(is)f(uncertain,)h(and)g(the)g(c)m(hoice)g
13076 (made)g(can)g(strongly)0 3761 y(a\013ect)h(the)g(amoun)m(t)f(of)g(w)m
13077 (ell-separated)g(jets.)146 3869 y(Despite)i(a)g(n)m(um)m(b)s(er)g(of)f
13078 (common)g(traits,)g(the)i(initial-)29 b(and)34 b(\014nal-state)f
13079 (radiation)f(mac)m(hineries)0 3977 y(are)g(in)e(fact)i(quite)f
13080 (di\013eren)m(t,)h(and)g(are)f(describ)s(ed)i(separately)e(b)s(elo)m
13081 (w.)43 b(F)-8 b(or)31 b(historical)e(reasons,)k(the)0
13082 4086 y(\014nal-state)f(sho)m(w)m(er)i(is)e(found)h(in)f
13083 Fm(Jetset)f Fw(and)i(the)g(initial-state)c(one)j(in)g
13084 Fm(Pythia)p Fw(.)146 4194 y(Final-state)f(sho)m(w)m(ers)k(are)e
13085 (time-lik)m(e,)d(i.e.)44 b(partons)33 b(ha)m(v)m(e)h
13086 Fj(m)2421 4158 y Fl(2)2489 4194 y Fw(=)28 b Fj(E)2671
13087 4158 y Fl(2)2733 4194 y Fn(\000)23 b Fo(p)2895 4158 y
13088 Fl(2)2963 4194 y Fn(\025)28 b Fw(0.)45 b(The)33 b(ev)m(olution)0
13089 4302 y(v)-5 b(ariable)27 b Fj(Q)439 4266 y Fl(2)507 4302
13090 y Fw(of)h(the)g(cascade)i(is)e(therefore)h(in)e Fm(Jetset)h
13091 Fw(asso)s(ciated)g(with)g(the)h Fj(m)3021 4266 y Fl(2)3089
13092 4302 y Fw(of)f(the)h(branc)m(hing)0 4411 y(parton,)37
13093 b(but)f(this)g(c)m(hoice)g(is)f(not)h(unique.)54 b(Starting)35
13094 b(from)g Fj(Q)2352 4374 y Fl(2)2352 4435 y(max)2488 4411
13095 y Fw(,)h(an)g(original)d(parton)j(is)f(ev)m(olv)m(ed)0
13096 4519 y(do)m(wn)m(w)m(ards)e(in)d Fj(Q)689 4483 y Fl(2)759
13097 4519 y Fw(un)m(til)f(a)i(branc)m(hing)f(o)s(ccurs.)44
13098 b(The)31 b(selected)h Fj(Q)2493 4483 y Fl(2)2563 4519
13099 y Fw(v)-5 b(alue)30 b(de\014nes)i(the)f(mass)g(of)f(the)0
13100 4627 y(branc)m(hing)40 b(parton,)h(and)f(the)g Fj(z)45
13101 b Fw(of)39 b(the)h(splitting)d(k)m(ernel)k(the)f(parton)g(energy)g
13102 (division)e(b)s(et)m(w)m(een)0 4736 y(its)h(daugh)m(ters.)65
13103 b(These)41 b(daugh)m(ters)f(ma)m(y)f(no)m(w,)j(in)d(turn,)i(ev)m(olv)m
13104 (e)g(do)m(wn)m(w)m(ards,)i(in)c(this)g(case)h(with)0
13105 4844 y(maxim)m(um)30 b(virtualit)m(y)h(already)h(de\014ned)i(b)m(y)g
13106 (kinematics,)d(and)i(so)g(on)f(do)m(wn)i(to)e(the)h Fj(Q)3281
13107 4859 y Fl(0)3353 4844 y Fw(cut-o\013.)146 4952 y(In)44
13108 b(QCD)e(sho)m(w)m(ers,)48 b(corrections)43 b(to)g(the)g(leading-log)d
13109 (picture,)46 b(so-called)41 b(coherence)k(e\013ects,)0
13110 5061 y(lead)f(to)h(an)f(ordering)g(of)h(subsequen)m(t)j(emissions)c(in)
13111 g(terms)h(of)f(decreasing)h(angles.)80 b(This)45 b(do)s(es)0
13112 5169 y(not)e(follo)m(w)f(automatically)e(from)j(the)h(mass-ordering)e
13113 (constrain)m(t,)47 b(but)c(is)h(implemen)m(ted)e(as)i(an)0
13114 5277 y(additional)30 b(requiremen)m(t)j(on)g(allo)m(w)m(ed)g
13115 (emissions.)44 b(Photon)33 b(emission)f(is)g(not)h(a\013ected)h(b)m(y)g
13116 (angular)0 5386 y(ordering.)41 b(It)29 b(is)g(also)f(p)s(ossible)g(to)h
13117 (obtain)e(non-trivial)f(correlations)i(b)s(et)m(w)m(een)j(azim)m(uthal)
13118 c(angles)h(in)0 5494 y(the)d(v)-5 b(arious)25 b(branc)m(hings,)i(some)d
13119 (of)h(whic)m(h)g(are)g(implemen)m(ted)f(as)h(options.)41
13120 b(Finally)-8 b(,)23 b(the)j(theoretical)0 5602 y(analysis)33
13121 b(strongly)g(suggests)h(the)g(scale)g(c)m(hoice)f Fj(\013)1883
13122 5617 y Fl(s)1945 5602 y Fw(=)28 b Fj(\013)2111 5617 y
13123 Fl(s)2143 5602 y Fw(\()p Fj(p)2230 5566 y Fl(2)2230 5627
13124 y Fk(?)2289 5602 y Fw(\))h(=)g Fj(\013)2523 5617 y Fl(s)2555
13125 5602 y Fw(\()p Fj(z)t Fw(\(1)23 b Fn(\000)h Fj(z)t Fw(\))p
13126 Fj(m)3025 5566 y Fl(2)3065 5602 y Fw(\),)34 b(and)f(this)g(is)g(the)
13127 1841 5953 y(13)p eop
13128 %%Page: 14 20
13129 14 19 bop 0 -18 a Fw(default)32 b(in)g(the)h(program.)146
13130 90 y(The)27 b(\014nal-state)f(radiation)d(mac)m(hinery)j(is)g(applied)f
13131 (in)g(the)h(c.m.)41 b(frame)26 b(of)f(the)i(hard)f(scattering.)0
13132 198 y(The)33 b(total)d(energy)j(and)f(momen)m(tum)f(of)h(the)g
13133 (hard-scattering)f(subsystem)j(is)e(preserv)m(ed,)i(as)f(is)e(the)0
13134 307 y(direction)g(of)i(the)g(outgoing)e(partons)h(\(in)g(that)h
13135 (frame\).)146 415 y(In)38 b(con)m(trast)h(to)e(\014nal-state)g(sho)m(w)
13136 m(ers,)k(initial-state)34 b(ones)39 b(are)e(space-lik)m(e.)59
13137 b(This)38 b(means)g(that,)0 523 y(in)33 b(the)i(sequence)i(of)d(branc)m
13138 (hings)h Fj(a)30 b Fn(!)g Fj(bc)35 b Fw(that)f(lead)g(up)g(from)f(the)i
13139 (sho)m(w)m(er)h(initiator)31 b(to)j(the)g(hard)0 632
13140 y(in)m(teraction,)c(particles)h Fj(a)g Fw(and)g Fj(b)h
13141 Fw(ha)m(v)m(e)g Fj(m)1557 595 y Fl(2)1625 632 y Fw(=)27
13142 b Fj(E)1806 595 y Fl(2)1865 632 y Fn(\000)20 b Fo(p)2024
13143 595 y Fl(2)2091 632 y Fj(<)27 b Fw(0.)43 b(The)32 b(`side)g(branc)m(h')
13144 g(particle)e Fj(c)p Fw(,)h(whic)m(h)0 740 y(do)s(es)g(not)g
13145 (participate)f(in)g(the)h(hard)g(scattering,)h(ma)m(y)e(b)s(e)i(on)e
13146 (the)i(mass)f(shell,)f(or)h(ha)m(v)m(e)h(a)f(time-lik)m(e)0
13147 848 y(virtualit)m(y)-8 b(.)41 b(In)29 b(the)h(latter)e(case)i(a)f
13148 (time-lik)m(e)d(sho)m(w)m(er)31 b(will)c(ev)m(olv)m(e)j(o\013)f(it,)g
13149 (rather)g(lik)m(e)g(the)g(\014nal-state)0 957 y(radiation)36
13150 b(describ)s(ed)j(ab)s(o)m(v)m(e.)61 b(T)-8 b(o)38 b(\014rst)h(appro)m
13151 (ximation,)e(the)i(ev)m(olution)e(of)h(the)g(space-lik)m(e)g(main)0
13152 1065 y(branc)m(h)45 b(is)f(c)m(haracterized)h(b)m(y)h(the)f(ev)m
13153 (olution)e(v)-5 b(ariable)43 b Fj(Q)2266 1029 y Fl(2)2353
13154 1065 y Fw(=)48 b Fn(\000)p Fj(m)2639 1029 y Fl(2)2679
13155 1065 y Fw(,)g(whic)m(h)c(is)g(required)h(to)f(b)s(e)0
13156 1173 y(strictly)33 b(increasing)g(along)g(the)h(sho)m(w)m(er,)i(i.e.)47
13157 b Fj(Q)1821 1137 y Fl(2)1821 1198 y Fh(b)1890 1173 y
13158 Fj(>)30 b(Q)2073 1137 y Fl(2)2073 1198 y Fh(a)2115 1173
13159 y Fw(.)47 b(Corrections)35 b(to)e(this)h(picture)g(ha)m(v)m(e)h(b)s
13160 (een)0 1282 y(calculated,)d(but)h(are)f(basically)f(absen)m(t)j(in)e
13161 Fm(Pythia)p Fw(.)146 1390 y(Initial-state)h(radiation)f(is)j(handled)g
13162 (within)f(the)h(bac)m(kw)m(ards)j(ev)m(olution)c(sc)m(heme.)52
13163 b(In)35 b(this)g(ap-)0 1498 y(proac)m(h,)25 b(the)d(c)m(hoice)g(of)g
13164 (the)g(hard)g(scattering)f(is)h(based)h(on)e(the)i(use)g(of)e(ev)m(olv)
13165 m(ed)i(parton)f(distributions,)0 1607 y(whic)m(h)j(means)f(that)g(the)h
13166 (inclusiv)m(e)e(e\013ects)j(of)e(initial-state)c(radiation)i(are)i
13167 (already)g(included.)40 b(What)0 1715 y(remains)f(is)f(therefore)i(to)g
13168 (construct)g(the)g(exclusiv)m(e)h(sho)m(w)m(ers.)66 b(This)39
13169 b(is)g(done)h(starting)f(from)f(the)0 1823 y(t)m(w)m(o)h(incoming)e
13170 (partons)i(at)f(the)i(hard)e(in)m(teraction,)i(tracing)d(the)j(sho)m(w)
13171 m(ers)h(`bac)m(kw)m(ards)g(in)d(time',)0 1932 y(bac)m(k)d(to)e(the)h(t)
13172 m(w)m(o)h(sho)m(w)m(er)g(initiators.)45 b(In)34 b(other)g(w)m(ords,)h
13173 (giv)m(en)f(a)g(parton)f Fj(b)p Fw(,)i(one)f(tries)f(to)h(\014nd)g(the)
13174 0 2040 y(parton)39 b Fj(a)g Fw(that)f(branc)m(hed)i(in)m(to)e
13175 Fj(b)p Fw(.)63 b(The)40 b(ev)m(olution)e(in)g(the)h(Mon)m(te)h(Carlo)e
13176 (is)g(therefore)h(in)g(terms)0 2148 y(of)32 b(a)g(sequence)j(of)c
13177 (decreasing)i(space-lik)m(e)f(virtualities)e Fj(Q)2185
13178 2112 y Fl(2)2257 2148 y Fw(and)i(increasing)f(momen)m(tum)g(fractions)0
13179 2257 y Fj(x)p Fw(.)59 b(Branc)m(hings)38 b(on)f(the)i(t)m(w)m(o)f
13180 (sides)g(are)g(in)m(terlea)m(v)m(ed)g(in)f(a)g(common)f(sequence)41
13181 b(of)c(decreasing)h Fj(Q)3740 2221 y Fl(2)0 2365 y Fw(v)-5
13182 b(alues.)146 2473 y(In)24 b(the)g(ab)s(o)m(v)m(e)g(formalism,)e(there)i
13183 (is)f(no)g(real)g(distinction)f(b)s(et)m(w)m(een)j(gluon)e(and)g
13184 (photon)h(emission.)0 2582 y(Some)32 b(of)g(the)h(details)f(actually)f
13185 (do)h(di\013er,)h(as)f(will)f(b)s(e)h(explained)h(in)e(the)i(full)e
13186 (description.)146 2690 y(The)i(initial-)27 b(and)k(\014nal-state)g
13187 (radiation)e(shifts)j(around)f(the)h(kinematics)e(of)h(the)h(original)c
13188 (hard)0 2798 y(in)m(teraction.)42 b(In)30 b(deep)i(inelastic)c
13189 (scattering,)j(this)f(means)g(that)g(the)h Fj(x)g Fw(and)f
13190 Fj(Q)2935 2762 y Fl(2)3005 2798 y Fw(v)-5 b(alues)31
13191 b(that)f(can)g(b)s(e)0 2907 y(deriv)m(ed)c(from)d(the)i(momen)m(tum)e
13192 (of)i(the)g(scattered)h(lepton)e(do)h(not)f(agree)h(with)f(the)i(v)-5
13193 b(alues)24 b(originally)0 3015 y(pic)m(k)m(ed.)44 b(In)33
13194 b(high-)p Fj(p)727 3030 y Fk(?)816 3015 y Fw(pro)s(cesses,)i(it)30
13195 b(means)i(that)g(one)g(no)g(longer)f(has)h(t)m(w)m(o)h(jets)f(with)g
13196 (opp)s(osite)f(and)0 3123 y(comp)s(ensating)41 b Fj(p)674
13197 3138 y Fk(?)733 3123 y Fw(,)j(but)f(more)e(complicated)f(top)s
13198 (ologies.)70 b(E\013ects)44 b(of)d(an)m(y)i(original)38
13199 b(kinematics)0 3232 y(selection)c(cuts)h(are)g(therefore)g(smeared)g
13200 (out,)g(an)f(unfortunate)h(side-e\013ect)g(of)f(the)g(parton-sho)m(w)m
13201 (er)0 3340 y(approac)m(h.)0 3614 y Fp(2.3)135 b(Beam)46
13202 b(Remnan)l(ts)0 3787 y Fw(In)26 b(a)f(hadron{hadron)h(collision,)e(the)
13203 i(initial-state)c(radiation)h(algorithm)f(reconstructs)28
13204 b(one)e(sho)m(w)m(er)0 3895 y(initiator)31 b(in)i(eac)m(h)i(b)s(eam.)47
13205 b(This)34 b(initiator)d(only)i(tak)m(es)i(some)f(fraction)f(of)g(the)i
13206 (total)d(b)s(eam)h(energy)-8 b(,)0 4003 y(lea)m(ving)43
13207 b(b)s(ehind)h(a)g(b)s(eam)f(remnan)m(t)h(whic)m(h)g(tak)m(es)i(the)e
13208 (rest.)79 b(F)-8 b(or)43 b(a)h(proton)f(b)s(eam,)k(a)c(u)i(quark)0
13209 4112 y(initiator)20 b(w)m(ould)j(lea)m(v)m(e)h(b)s(ehind)f(a)g(ud)h
13210 (diquark)f(b)s(eam)f(remnan)m(t,)j(with)e(an)g(an)m(titriplet)e(colour)
13211 i(c)m(harge.)0 4220 y(The)46 b(remnan)m(t)f(is)g(therefore)h
13212 (colour-connected)g(to)f(the)g(hard)h(in)m(teraction,)h(and)e(forms)g
13213 (part)g(of)0 4328 y(the)37 b(same)g(fragmen)m(ting)f(system.)58
13214 b(It)37 b(is)f(further)i(customary)f(to)f(assign)h(a)g(primordial)c
13215 (transv)m(erse)0 4437 y(momen)m(tum)g(to)h(the)h(sho)m(w)m(er)h
13216 (initiator,)c(to)i(tak)m(e)i(in)m(to)e(accoun)m(t)h(the)g(motion)d(of)i
13217 (quarks)i(inside)e(the)0 4545 y(original)29 b(hadron,)k(basically)e(as)
13218 i(required)g(b)m(y)h(the)f(uncertain)m(t)m(y)g(principle.)43
13219 b(This)33 b(primordial)c Fj(k)3623 4560 y Fk(?)3714 4545
13220 y Fw(is)0 4653 y(selected)i(according)d(to)i(some)f(suitable)g
13221 (distribution,)f(and)i(the)f(recoil)g(is)g(assumed)h(to)f(b)s(e)h(tak)m
13222 (en)g(up)0 4762 y(b)m(y)j(the)g(b)s(eam)f(remnan)m(t.)146
13223 4870 y(Often)37 b(the)g(remnan)m(t)g(is)f(more)g(complicated,)h(e.g.)56
13224 b(a)36 b(g)i(initiator)c(w)m(ould)i(lea)m(v)m(e)i(b)s(ehind)e(a)h(uud)0
13225 4979 y(proton)28 b(remnan)m(t)g(system)h(in)e(a)h(colour)f(o)s(ctet)i
13226 (state,)g(whic)m(h)g(can)f(con)m(v)m(enien)m(tly)i(b)s(e)e(sub)s
13227 (divided)g(in)m(to)0 5087 y(a)f(colour)f(triplet)g(quark)i(and)f(a)g
13228 (colour)g(an)m(titriplet)e(diquark,)j(eac)m(h)g(of)f(whic)m(h)h(are)f
13229 (colour-connected)0 5195 y(to)g(the)g(hard)g(in)m(teraction.)41
13230 b(The)28 b(energy)g(sharing)e(b)s(et)m(w)m(een)j(these)g(t)m(w)m(o)e
13231 (remnan)m(t)g(ob)5 b(jects,)30 b(and)d(their)0 5304 y(relativ)m(e)38
13232 b(transv)m(erse)j(momen)m(tum,)e(in)m(tro)s(duces)g(additional)d
13233 (degrees)k(of)e(freedom,)j(whic)m(h)e(are)g(not)0 5412
13234 y(understo)s(o)s(d)33 b(from)e(\014rst)i(principles.)146
13235 5520 y(Na)-11 b(\177)-38 b(\020v)m(ely)-8 b(,)34 b(one)h(w)m(ould)f
13236 (exp)s(ect)h(an)f(ep)g(ev)m(en)m(t)i(to)e(ha)m(v)m(e)h(only)f(one)g(b)s
13237 (eam)f(remnan)m(t,)i(and)f(an)g(e)3618 5484 y Fl(+)3677
13238 5520 y Fw(e)3720 5484 y Fk(\000)0 5629 y Fw(ev)m(en)m(t)44
13239 b(none.)74 b(This)43 b(is)f(not)h(alw)m(a)m(ys)g(correct,)j(e.g.)74
13240 b(a)42 b Fj(\015)5 b(\015)50 b Fn(!)44 b Fw(q)p 2443
13241 5576 52 4 v(q)f(in)m(teraction)f(in)g(an)g(e)3350 5592
13242 y Fl(+)3410 5629 y Fw(e)3453 5592 y Fk(\000)3555 5629
13243 y Fw(ev)m(en)m(t)1841 5953 y(14)p eop
13244 %%Page: 15 21
13245 15 20 bop 0 -18 a Fw(w)m(ould)46 b(lea)m(v)m(e)g(b)s(ehind)g(the)h(e)
13246 1113 -55 y Fl(+)1218 -18 y Fw(and)f(e)1464 -55 y Fk(\000)1569
13247 -18 y Fw(as)g(b)s(eam)g(remnan)m(ts,)j(and)d(a)g(q)p
13248 2797 -71 52 4 v(q)52 b Fn(!)e Fw(gg)c(in)m(teraction)f(in)0
13249 90 y(resolv)m(ed)d(photopro)s(duction)f(in)g(an)g(e)1442
13250 54 y Fl(+)1502 90 y Fw(e)1545 54 y Fk(\000)1646 90 y
13251 Fw(ev)m(en)m(t)i(w)m(ould)e(lea)m(v)m(e)i(b)s(ehind)e(one)h(e)3018
13252 54 y Fk(\006)3119 90 y Fw(and)f(one)h(q)p Fj(=)p 3605
13253 37 V Fw(q)g(in)0 198 y(eac)m(h)33 b(remnan)m(t.)44 b(Corresp)s(onding)
13254 32 b(complications)e(o)s(ccur)j(for)f(photopro)s(duction)g(in)g(ep)h
13255 (ev)m(en)m(ts.)146 307 y(There)g(is)e(another)g(source)i(of)d(b)s(eam)h
13256 (remnan)m(ts.)44 b(If)31 b(parton)g(distributions)f(are)h(used)i(to)e
13257 (resolv)m(e)0 415 y(an)f(electron)f(inside)g(an)h(electron,)g(some)g
13258 (of)f(the)h(original)c(energy)31 b(is)e(not)h(used)g(in)f(the)h(hard)g
13259 (in)m(terac-)0 523 y(tion,)g(but)h(is)f(rather)h(asso)s(ciated)f(with)g
13260 (initial-state)d(photon)k(radiation.)40 b(The)32 b(initial-state)27
13261 b(sho)m(w)m(er)0 632 y(is)h(in)f(principle)g(in)m(tended)i(to)f(trace)g
13262 (this)g(ev)m(olution)g(and)g(reconstruct)i(the)e(original)d(electron)j
13263 (b)s(efore)0 740 y(an)m(y)23 b(radiation)d(at)h(all)g(to)s(ok)g(place.)
13264 40 b(Ho)m(w)m(ev)m(er,)27 b(b)s(ecause)c(of)f(cut-o\013)g(pro)s
13265 (cedures,)j(some)d(small)e(amoun)m(t)0 848 y(ma)m(y)39
13266 b(b)s(e)h(left)f(unaccoun)m(ted.)67 b(Alternativ)m(ely)38
13267 b(the)i(user)h(ma)m(y)e(ha)m(v)m(e)i(c)m(hosen)h(to)d(switc)m(h)h
13268 (o\013)g(initial-)0 957 y(state)d(radiation)e(altogether,)h(but)h
13269 (still)e(preserv)m(ed)k(the)e(resolv)m(ed)h(electron)e(parton)h
13270 (distributions.)0 1065 y(In)k(either)f(case)i(the)f(remaining)d(energy)
13271 k(is)e(giv)m(en)h(to)f(a)h(single)e(photon)i(of)f(v)-5
13272 b(anishing)39 b(transv)m(erse)0 1173 y(momen)m(tum,)31
13273 b(whic)m(h)i(is)f(then)i(considered)f(in)f(the)h(same)f(spirit)g(as)g
13274 (`true')h(b)s(eam)f(remnan)m(ts.)146 1282 y(So)j(far)f(w)m(e)i(ha)m(v)m
13275 (e)g(assumed)f(that)f(eac)m(h)i(ev)m(en)m(t)g(only)e(con)m(tains)h(one)
13276 g(hard)f(in)m(teraction,)h(i.e.)49 b(that)0 1390 y(eac)m(h)25
13277 b(incoming)d(particle)h(has)h(only)g(one)g(parton)g(whic)m(h)h(tak)m
13278 (es)g(part)f(in)f(hard)h(pro)s(cesses,)k(and)d(that)f(all)0
13279 1498 y(other)34 b(constituen)m(ts)g(sail)e(through)i(una\013ected.)47
13280 b(This)34 b(is)f(appropriate)f(in)h(e)2863 1462 y Fl(+)2922
13281 1498 y Fw(e)2965 1462 y Fk(\000)3058 1498 y Fw(or)g(ep)h(ev)m(en)m(ts,)
13282 i(but)0 1607 y(not)e(necessarily)h(so)g(in)e(hadron{hadron)i
13283 (collisions.)46 b(Here)35 b(eac)m(h)g(of)f(the)h(b)s(eam)f(particles)f
13284 (con)m(tains)0 1715 y(a)44 b(m)m(ultitude)f(of)h(partons,)k(and)c(so)h
13285 (the)f(probabilit)m(y)f(for)h(sev)m(eral)h(in)m(teractions)e(in)h(one)h
13286 (and)f(the)0 1823 y(same)36 b(ev)m(en)m(t)j(need)e(not)f(b)s(e)h
13287 (negligible.)52 b(In)37 b(principle)e(these)j(additional)33
13288 b(in)m(teractions)j(could)g(arise)0 1932 y(b)s(ecause)h(one)e(single)f
13289 (parton)h(from)f(one)h(b)s(eam)g(scatters)h(against)e(sev)m(eral)i
13290 (di\013eren)m(t)f(partons)h(from)0 2040 y(the)c(other)g(b)s(eam,)f(or)h
13291 (b)s(ecause)h(sev)m(eral)f(partons)g(from)f(eac)m(h)h(b)s(eam)g(tak)m
13292 (e)g(place)g(in)f(separate)h(2)27 b Fn(!)h Fw(2)0 2148
13293 y(scatterings.)51 b(Both)34 b(are)h(exp)s(ected,)j(but)d(com)m
13294 (binatorics)e(should)i(fa)m(v)m(our)g(the)h(latter,)e(whic)m(h)i(is)e
13295 (the)0 2257 y(mec)m(hanism)e(considered)h(in)f Fm(Pythia)p
13296 Fw(.)146 2365 y(The)j(dominan)m(t)e(2)d Fn(!)g Fw(2)k(QCD)f(cross)i
13297 (sections)g(are)f(div)m(ergen)m(t)h(for)e Fj(p)2729 2380
13298 y Fk(?)2819 2365 y Fn(!)c Fw(0,)35 b(and)f(drop)g(rapidly)0
13299 2473 y(for)39 b(larger)f Fj(p)488 2488 y Fk(?)547 2473
13300 y Fw(.)65 b(Probably)39 b(the)h(lo)m(w)m(est-order)g(p)s(erturbativ)m
13301 (e)g(cross)g(sections)g(will)e(b)s(e)h(regularized)0
13302 2582 y(at)46 b(small)e Fj(p)451 2597 y Fk(?)556 2582
13303 y Fw(b)m(y)j(colour)e(coherence)j(e\013ects:)72 b(an)46
13304 b(exc)m(hanged)i(gluon)d(of)h(small)e Fj(p)3186 2597
13305 y Fk(?)3291 2582 y Fw(has)j(a)f(large)0 2690 y(transv)m(erse)c(w)m(a)m
13306 (v)m(e)f(function)e(and)h(can)g(therefore)g(not)f(resolv)m(e)i(the)f
13307 (individual)d(colour)h(c)m(harges)j(of)0 2798 y(the)36
13308 b(t)m(w)m(o)h(incoming)d(hadrons;)k(it)d(will)f(only)h(couple)h(to)g
13309 (an)g(a)m(v)m(erage)g(colour)g(c)m(harge)g(that)g(v)-5
13310 b(anishes)0 2907 y(in)36 b(the)h(limit)c Fj(p)576 2922
13311 y Fk(?)669 2907 y Fn(!)h Fw(0.)55 b(In)37 b(the)g(program,)f(some)g
13312 (e\013ectiv)m(e)i Fj(p)2332 2922 y Fk(?)p Fl(min)2545
13313 2907 y Fw(scale)e(is)g(therefore)h(in)m(tro)s(duced,)0
13314 3015 y(b)s(elo)m(w)e(whic)m(h)i(the)f(p)s(erturbativ)m(e)g(cross)g
13315 (section)g(is)f(either)g(assumed)i(completely)d(v)-5
13316 b(anishing)35 b(or)g(at)0 3123 y(least)29 b(strongly)g(damp)s(ed.)42
13317 b(Phenomenologically)-8 b(,)27 b Fj(p)1949 3138 y Fk(?)p
13318 Fl(min)2155 3123 y Fw(comes)i(out)g(to)g(b)s(e)h(a)f(n)m(um)m(b)s(er)h
13319 (of)f(the)g(order)0 3232 y(of)j(1.5{2.0)g(GeV.)146 3340
13320 y(In)26 b(a)f(t)m(ypical)g(`minim)m(um-bias')c(ev)m(en)m(t)27
13321 b(one)f(therefore)g(exp)s(ects)h(to)e(\014nd)h(one)g(or)f(a)g(few)h
13322 (scatterings)0 3448 y(at)41 b(scales)h(around)f(or)g(a)g(bit)f(ab)s(o)m
13323 (v)m(e)j Fj(p)1461 3463 y Fk(?)p Fl(min)1637 3448 y Fw(,)h(while)c(a)h
13324 (high-)p Fj(p)2328 3463 y Fk(?)2427 3448 y Fw(ev)m(en)m(t)i(also)e(ma)m
13325 (y)g(ha)m(v)m(e)h(additional)0 3557 y(scatterings)34
13326 b(at)f(the)h Fj(p)828 3572 y Fk(?)p Fl(min)1038 3557
13327 y Fw(scale.)47 b(The)34 b(probabilit)m(y)e(to)h(ha)m(v)m(e)i(sev)m
13328 (eral)f(high-)p Fj(p)2948 3572 y Fk(?)3039 3557 y Fw(scatterings)g(in)f
13329 (the)0 3665 y(same)f(ev)m(en)m(t)j(is)d(small,)e(since)j(the)g(cross)h
13330 (section)f(drops)g(so)f(rapidly)g(with)g Fj(p)2845 3680
13331 y Fk(?)2904 3665 y Fw(.)146 3774 y(The)j(understanding)g(of)e(m)m
13332 (ultiple)f(in)m(teraction)g(is)i(still)d(v)m(ery)36 b(primitiv)m(e,)c
13333 (and)i(ev)m(en)i(the)e(exp)s(er-)0 3882 y(imen)m(tal)h(evidence)k(that)
13334 e(it)g(exists)h(at)f(all)f(is)h(rather)g(w)m(eak.)60
13335 b Fm(Pythia)37 b Fw(therefore)h(con)m(tains)g(sev)m(eral)0
13336 3990 y(di\013eren)m(t)d(options,)g(with)g(a)f(fairly)f(simple)h(one)h
13337 (as)g(default.)50 b(The)36 b(options)e(di\013er)g(in)g(particular)g(on)
13338 0 4099 y(the)39 b(issue)g(of)g(the)g(`p)s(edestal')g(e\013ect:)56
13339 b(is)38 b(there)i(an)e(increased)i(probabilit)m(y)c(or)j(not)f(for)g
13340 (additional)0 4207 y(in)m(teractions)32 b(in)f(an)h(ev)m(en)m(t)i(whic)
13341 m(h)f(is)f(kno)m(wn)h(to)f(con)m(tain)g(a)g(hard)g(scattering,)g
13342 (compared)g(with)g(one)0 4315 y(that)g(con)m(tains)h(no)f(hard)h(in)m
13343 (teractions?)0 4589 y Fp(2.4)135 b(F)-11 b(ragmen)l(tation)0
13344 4762 y Fw(QCD)42 b(p)s(erturbation)g(theory)-8 b(,)45
13345 b(form)m(ulated)c(in)h(terms)h(of)f(quarks)h(and)g(gluons,)h(is)e(v)-5
13346 b(alid)41 b(at)h(short)0 4870 y(distances.)i(A)m(t)30
13347 b(long)g(distances,)i(QCD)e(b)s(ecomes)h(strongly)f(in)m(teracting)f
13348 (and)i(p)s(erturbation)f(theory)0 4979 y(breaks)48 b(do)m(wn.)89
13349 b(In)48 b(this)f(con\014nemen)m(t)h(regime,)i(the)e(coloured)e(partons)
13350 i(are)f(transformed)g(in)m(to)0 5087 y(colourless)33
13351 b(hadrons,)h(a)g(pro)s(cess)g(called)f(either)g(hadronization)f(or)h
13352 (fragmen)m(tation.)44 b(In)34 b(this)f(pap)s(er)0 5195
13353 y(w)m(e)25 b(reserv)m(e)h(the)f(former)e(term)g(for)h(the)g(com)m
13354 (bination)e(of)i(fragmen)m(tation)e(and)i(the)h(subsequen)m(t)i(deca)m
13355 (y)0 5304 y(of)32 b(unstable)h(particles.)146 5412 y(The)26
13356 b(fragmen)m(tation)d(pro)s(cess)i(has)g(y)m(et)h(to)e(b)s(e)h(understo)
13357 s(o)s(d)g(from)f(\014rst)h(principles,)g(starting)f(from)0
13358 5520 y(the)41 b(QCD)f(Lagrangian.)65 b(This)41 b(has)g(left)e(the)i(w)m
13359 (a)m(y)h(clear)e(for)g(the)h(dev)m(elopmen)m(t)g(of)f(a)g(n)m(um)m(b)s
13360 (er)h(of)0 5629 y(di\013eren)m(t)35 b(phenomenological)d(mo)s(dels.)49
13361 b(Three)36 b(main)d(sc)m(ho)s(ols)i(are)g(usually)f(distinguished,)h
13362 (string)1841 5953 y(15)p eop
13363 %%Page: 16 22
13364 16 21 bop 0 -18 a Fw(fragmen)m(tation)26 b(\(SF\),)i(indep)s(enden)m(t)
13365 h(fragmen)m(tation)e(\(IF\))g(and)i(cluster)f(fragmen)m(tation)e
13366 (\(CF\),)i(but)0 90 y(man)m(y)41 b(v)-5 b(arian)m(ts)40
13367 b(and)g(h)m(ybrids)i(exist.)68 b(Being)40 b(mo)s(dels,)i(none)f(of)f
13368 (them)g(can)h(la)m(y)f(claims)f(to)h(b)s(eing)0 198 y(`correct',)32
13369 b(although)d(some)h(ma)m(y)g(b)s(e)h(b)s(etter)f(founded)h(than)g
13370 (others.)43 b(The)32 b(b)s(est)f(that)f(can)g(b)s(e)h(aimed)0
13371 307 y(for)g(is)g(in)m(ternal)g(consistency)-8 b(,)33
13372 b(a)f(go)s(o)s(d)e(represen)m(tation)j(of)e(existing)g(data,)g(and)h(a)
13373 g(predictiv)m(e)g(p)s(o)m(w)m(er)0 415 y(for)g(prop)s(erties)h(not)f(y)
13374 m(et)i(studied)e(or)h(results)g(at)f(higher)g(energies.)146
13375 523 y Fm(Jetset)39 b Fw(is)f(in)m(timately)f(connected)k(with)e(string)
13376 g(fragmen)m(tation,)g(in)f(the)i(form)e(of)h(the)g(time-)0
13377 632 y(honoured)k(`Lund)g(mo)s(del'.)72 b(This)42 b(is)g(the)h(default)f
13378 (for)g(all)f Fm(Jetset/Pythia)g Fw(applications,)i(but)0
13379 740 y(indep)s(enden)m(t)33 b(fragmen)m(tation)d(options)h(also)f
13380 (exist,)j(for)e(applications)e(where)k(one)f(wishes)h(to)e(study)0
13381 848 y(the)i(imp)s(ortance)e(of)h(string)g(e\013ects.)146
13382 957 y(All)38 b(curren)m(t)j(mo)s(dels)d(are)h(of)g(a)g(probabilistic)e
13383 (and)j(iterativ)m(e)e(nature.)65 b(This)39 b(means)h(that)f(the)0
13384 1065 y(fragmen)m(tation)30 b(pro)s(cess)k(as)e(a)g(whole)g(is)g
13385 (describ)s(ed)h(in)f(terms)g(of)g(one)g(or)g(a)g(few)h(simple)e
13386 (underlying)0 1173 y(branc)m(hings,)43 b(of)d(the)h(t)m(yp)s(e)h(jet)e
13387 Fn(!)g Fw(hadron)h(+)f(remainder-jet,)i(string)e Fn(!)g
13388 Fw(hadron)g(+)h(remainder-)0 1282 y(string,)36 b(and)g(so)g(on.)52
13389 b(A)m(t)36 b(eac)m(h)h(branc)m(hing,)g(probabilistic)32
13390 b(rules)k(are)g(giv)m(en)g(for)f(the)h(pro)s(duction)f(of)0
13391 1390 y(new)f(\015a)m(v)m(ours,)g(and)e(for)g(the)h(sharing)f(of)g
13392 (energy)i(and)f(momen)m(tum)e(b)s(et)m(w)m(een)j(the)f(pro)s(ducts.)146
13393 1498 y(T)-8 b(o)38 b(understand)h(fragmen)m(tation)d(mo)s(dels,)i(it)e
13394 (is)i(useful)f(to)h(start)f(with)h(the)g(simplest)e(p)s(ossible)0
13395 1607 y(system,)45 b(a)c(colour-singlet)e(q)p 1114 1554
13396 52 4 v(q)j(2-jet)f(ev)m(en)m(t,)46 b(as)41 b(pro)s(duced)h(in)f(e)2465
13397 1571 y Fl(+)2525 1607 y Fw(e)2568 1571 y Fk(\000)2668
13398 1607 y Fw(annihilation.)67 b(Here)42 b(lattice)0 1715
13399 y(QCD)37 b(studies)g(lend)g(supp)s(ort)g(to)f(a)h(linear)e
13400 (con\014nemen)m(t)j(picture)f(\(in)f(the)h(absence)i(of)d(dynamical)0
13401 1823 y(quarks\),)26 b(i.e.)39 b(the)23 b(energy)g(stored)g(in)f(the)h
13402 (colour)e(dip)s(ole)g(\014eld)h(b)s(et)m(w)m(een)i(a)e(c)m(harge)h(and)
13403 f(an)h(an)m(tic)m(harge)0 1932 y(increases)31 b(linearly)d(with)i(the)h
13404 (separation)f(b)s(et)m(w)m(een)i(the)e(c)m(harges,)i(if)d(the)i
13405 (short-distance)f(Coulom)m(b)0 2040 y(term)37 b(is)h(neglected.)60
13406 b(This)38 b(is)f(quite)h(di\013eren)m(t)g(from)e(the)j(b)s(eha)m(viour)
13407 e(in)g(QED,)h(and)g(is)f(related)h(to)0 2148 y(the)i(presence)i(of)e(a)
13408 f(triple-gluon)e(v)m(ertex)42 b(in)d(QCD.)h(The)h(details)d(are)i(not)g
13409 (y)m(et)h(w)m(ell)e(understo)s(o)s(d,)0 2257 y(ho)m(w)m(ev)m(er.)146
13410 2365 y(The)29 b(assumption)e(of)g(linear)f(con\014nemen)m(t)i(pro)m
13411 (vides)h(the)f(starting)e(p)s(oin)m(t)h(for)g(the)h(string)f(mo)s(del.)
13412 0 2473 y(As)38 b(the)f(q)g(and)p 603 2421 V 37 w(q)h(partons)f(mo)m(v)m
13413 (e)h(apart)e(from)g(their)g(common)g(pro)s(duction)g(v)m(ertex,)k(the)e
13414 (ph)m(ysical)0 2582 y(picture)28 b(is)f(that)g(of)g(a)h(colour)e
13415 (\015ux)j(tub)s(e)e(\(or)h(ma)m(yb)s(e)f(colour)g(v)m(ortex)i(line\))d
13416 (b)s(eing)h(stretc)m(hed)i(b)s(et)m(w)m(een)0 2690 y(the)43
13417 b(q)g(and)g(the)p 650 2637 V 43 w(q.)73 b(The)44 b(transv)m(erse)h
13418 (dimensions)c(of)h(the)h(tub)s(e)g(are)g(of)f(t)m(ypical)g(hadronic)g
13419 (sizes,)0 2798 y(roughly)36 b(1)g(fm.)55 b(If)37 b(the)g(tub)s(e)g(is)f
13420 (assumed)h(to)f(b)s(e)h(uniform)e(along)g(its)h(length,)i(this)e
13421 (automatically)0 2907 y(leads)24 b(to)h(a)f(con\014nemen)m(t)i(picture)
13422 e(with)h(a)f(linearly)f(rising)g(p)s(oten)m(tial.)39
13423 b(In)25 b(order)g(to)f(obtain)f(a)i(Loren)m(tz)0 3015
13424 y(co)m(v)-5 b(arian)m(t)23 b(and)g(causal)g(description)g(of)g(the)h
13425 (energy)g(\015o)m(w)g(due)g(to)f(this)g(linear)f(con\014nemen)m(t,)k
13426 (the)e(most)0 3123 y(straigh)m(tforw)m(ard)45 b(w)m(a)m(y)h(is)e(to)h
13427 (use)h(the)g(dynamics)e(of)h(the)g(massless)h(relativistic)c(string)j
13428 (with)g(no)0 3232 y(transv)m(erse)32 b(degrees)g(of)e(freedom.)42
13429 b(The)31 b(mathematical,)c(one-dimensional)h(string)h(can)i(b)s(e)f
13430 (though)m(t)0 3340 y(of)j(as)g(parametrizing)e(the)i(p)s(osition)f(of)h
13431 (the)g(axis)g(of)g(a)g(cylindrically)d(symmetric)i(\015ux)i(tub)s(e.)46
13432 b(F)-8 b(rom)0 3448 y(hadron)40 b(sp)s(ectroscop)m(y)-8
13433 b(,)43 b(the)d(string)f(constan)m(t,)j(i.e.)65 b(the)40
13434 b(amoun)m(t)f(of)g(energy)h(p)s(er)g(unit)f(length,)i(is)0
13435 3557 y(deduced)d(to)e(b)s(e)h Fj(\024)e Fn(\031)g Fw(1)h(GeV/fm.)54
13436 b(The)37 b(expression)h(`massless')f(relativistic)d(string)i(is)g
13437 (somewhat)0 3665 y(of)c(a)g(misnomer:)42 b Fj(\024)33
13438 b Fw(e\013ectiv)m(ely)g(corresp)s(onds)h(to)e(a)h(`mass)f(densit)m(y')i
13439 (along)d(the)i(string.)146 3774 y(Let)24 b(us)g(no)m(w)g(turn)g(to)f
13440 (the)h(fragmen)m(tation)e(pro)s(cess.)42 b(As)24 b(the)g(q)g(and)p
13441 2643 3721 V 23 w(q)g(mo)m(v)m(e)g(apart,)h(the)f(p)s(oten)m(tial)0
13442 3882 y(energy)41 b(stored)f(in)f(the)h(string)f(increases,)j(and)e(the)
13443 g(string)f(ma)m(y)h(break)g(b)m(y)h(the)f(pro)s(duction)f(of)g(a)0
13444 3990 y(new)31 b(q)249 3954 y Fk(0)p 273 3937 V 273 3990
13445 a Fw(q)325 3954 y Fk(0)378 3990 y Fw(pair,)f(so)h(that)f(the)g(system)i
13446 (splits)d(in)m(to)h(t)m(w)m(o)h(colour-singlet)d(systems)k(q)p
13447 3060 3937 V(q)3112 3954 y Fk(0)3165 3990 y Fw(and)f(q)3404
13448 3954 y Fk(0)p 3428 3937 V 3428 3990 a Fw(q.)43 b(If)30
13449 b(the)0 4099 y(in)m(v)-5 b(arian)m(t)33 b(mass)h(of)f(either)h(of)f
13450 (these)j(string)d(pieces)i(is)e(large)g(enough,)i(further)f(breaks)h
13451 (ma)m(y)f(o)s(ccur.)0 4207 y(In)j(the)h(Lund)g(string)e(mo)s(del,)h
13452 (the)g(string)g(break-up)h(pro)s(cess)g(is)f(assumed)g(to)g(pro)s(ceed)
13453 h(un)m(til)e(only)0 4315 y(on-mass-shell)31 b(hadrons)j(remain,)e(eac)m
13454 (h)i(hadron)f(corresp)s(onding)g(to)g(a)g(small)d(piece)k(of)e(string)h
13455 (with)0 4424 y(a)f(quark)i(in)d(one)i(end)h(and)e(an)h(an)m(tiquark)f
13456 (in)g(the)h(other.)146 4532 y(In)28 b(order)f(to)g(generate)h(the)g
13457 (quark{an)m(tiquark)g(pairs)f(q)2188 4496 y Fk(0)p 2211
13458 4479 V 2211 4532 a Fw(q)2263 4496 y Fk(0)2313 4532 y
13459 Fw(whic)m(h)h(lead)f(to)g(string)g(break-ups,)i(the)0
13460 4640 y(Lund)34 b(mo)s(del)d(in)m(v)m(ok)m(es)k(the)e(idea)g(of)f(quan)m
13461 (tum)i(mec)m(hanical)d(tunnelling.)43 b(This)34 b(leads)f(to)f(a)h
13462 (\015a)m(v)m(our-)0 4749 y(indep)s(enden)m(t)39 b(Gaussian)e(sp)s
13463 (ectrum)g(for)g(the)h Fj(p)1788 4764 y Fk(?)1885 4749
13464 y Fw(of)f(q)2052 4712 y Fk(0)p 2076 4696 V 2076 4749
13465 a Fw(q)2127 4712 y Fk(0)2188 4749 y Fw(pairs.)57 b(Since)38
13466 b(the)g(string)f(is)g(assumed)h(to)0 4857 y(ha)m(v)m(e)32
13467 b(no)e(transv)m(erse)j(excitations,)d(this)g Fj(p)1569
13468 4872 y Fk(?)1658 4857 y Fw(is)g(lo)s(cally)e(comp)s(ensated)j(b)s(et)m
13469 (w)m(een)h(the)f(quark)h(and)e(the)0 4965 y(an)m(tiquark)36
13470 b(of)g(the)h(pair.)53 b(The)37 b(total)e Fj(p)1471 4980
13471 y Fk(?)1566 4965 y Fw(of)h(a)g(hadron)g(is)g(made)g(up)g(out)g(of)g
13472 (the)h Fj(p)3123 4980 y Fk(?)3218 4965 y Fw(con)m(tributions)0
13473 5074 y(from)31 b(the)j(quark)f(and)g(an)m(tiquark)g(that)f(together)h
13474 (form)f(the)h(hadron.)44 b(Some)32 b(con)m(tribution)g(of)g(v)m(ery)0
13475 5182 y(soft)h(p)s(erturbativ)m(e)f(gluon)g(emission)f(ma)m(y)i(also)e
13476 (e\013ectiv)m(ely)i(b)s(e)g(included)f(in)g(this)g(description.)146
13477 5290 y(The)d(tunnelling)d(picture)i(also)g(implies)d(a)j(suppression)h
13478 (of)f(hea)m(vy-quark)i(pro)s(duction,)e(u)g(:)g(d)g(:)f(s)h(:)0
13479 5399 y(c)h Fn(\031)g Fw(1)f(:)h(1)f(:)g(0)p Fj(:)p Fw(3)g(:)h(10)750
13480 5363 y Fk(\000)p Fl(11)879 5399 y Fw(.)45 b(Charm)33
13481 b(and)g(hea)m(vier)g(quarks)h(hence)h(are)e(not)g(exp)s(ected)i(to)d(b)
13482 s(e)i(pro)s(duced)0 5507 y(in)e(the)h(soft)f(fragmen)m(tation,)f(but)i
13483 (only)f(in)g(p)s(erturbativ)m(e)h(parton-sho)m(w)m(er)g(branc)m(hings)g
13484 (g)c Fn(!)e Fw(q)p 3574 5454 V(q)q(.)146 5615 y(When)40
13485 b(the)e(quark)h(and)g(an)m(tiquark)f(from)f(t)m(w)m(o)i(adjacen)m(t)g
13486 (string)f(breakings)g(are)h(com)m(bined)f(to)1841 5953
13487 y(16)p eop
13488 %%Page: 17 23
13489 17 22 bop 0 -18 a Fw(form)45 b(a)g(meson,)k(it)c(is)h(necessary)i(to)d
13490 (in)m(v)m(ok)m(e)i(an)f(algorithm)d(to)i(c)m(ho)s(ose)i(b)s(et)m(w)m
13491 (een)h(the)e(di\013eren)m(t)0 90 y(allo)m(w)m(ed)38 b(p)s
13492 (ossibilities,)g(notably)h(b)s(et)m(w)m(een)i(pseudoscalar)e(and)g(v)m
13493 (ector)h(mesons.)64 b(Here)40 b(the)f(string)0 198 y(mo)s(del)25
13494 b(is)i(not)g(particularly)d(predictiv)m(e.)42 b(Qualitativ)m(ely)25
13495 b(one)i(exp)s(ects)i(a)d(1)i(:)g(3)e(ratio,)h(from)f(coun)m(ting)0
13496 307 y(the)33 b(n)m(um)m(b)s(er)g(of)f(spin)h(states,)g(m)m(ultiplied)c
13497 (b)m(y)34 b(some)e(w)m(a)m(v)m(e-function)i(normalization)29
13498 b(factor,)j(whic)m(h)0 415 y(should)g(disfa)m(v)m(our)h(hea)m(vier)g
13499 (states.)146 523 y(A)h(tunnelling)d(mec)m(hanism)i(can)g(also)f(b)s(e)i
13500 (used)g(to)f(explain)g(the)g(pro)s(duction)g(of)g(bary)m(ons.)46
13501 b(This)0 632 y(is)i(still)e(a)i(p)s(o)s(orly)f(understo)s(o)s(d)i
13502 (area.)91 b(In)49 b(the)g(simplest)e(p)s(ossible)h(approac)m(h,)53
13503 b(a)48 b(diquark)h(in)f(a)0 740 y(colour)35 b(an)m(titriplet)e(state)k
13504 (is)e(just)h(treated)g(lik)m(e)f(an)h(ordinary)f(an)m(tiquark,)i(suc)m
13505 (h)g(that)f(a)f(string)g(can)0 848 y(break)24 b(either)g(b)m(y)g
13506 (quark{an)m(tiquark)g(or)f(an)m(tidiquark{diquark)g(pair)g(pro)s
13507 (duction.)40 b(A)23 b(more)g(complex)0 957 y(scenario)43
13508 b(is)f(the)i(`p)s(op)s(corn')f(one,)j(where)e(diquarks)f(as)h(suc)m(h)g
13509 (do)f(not)g(exist,)j(but)d(rather)g(quark{)0 1065 y(an)m(tiquark)36
13510 b(pairs)g(are)g(pro)s(duced)h(one)f(after)g(the)g(other.)54
13511 b(This)37 b(latter)e(picture)h(giv)m(es)g(a)g(less)g(strong)0
13512 1173 y(correlation)c(in)h(\015a)m(v)m(our)i(and)e(momen)m(tum)g(space)i
13513 (b)s(et)m(w)m(een)g(the)g(bary)m(on)f(and)g(the)g(an)m(tibary)m(on)f
13514 (of)h(a)0 1282 y(pair.)146 1390 y(In)d(general,)f(the)g(di\013eren)m(t)
13515 g(string)g(breaks)h(are)f(causally)f(disconnected.)44
13516 b(This)30 b(means)g(that)g(it)f(is)0 1498 y(p)s(ossible)h(to)h(describ)
13517 s(e)g(the)h(breaks)g(in)e(an)m(y)h(con)m(v)m(enien)m(t)i(order,)e(e.g.)
13518 44 b(from)29 b(the)i(quark)h(end)g(in)m(w)m(ards.)0 1607
13519 y(One)i(therefore)h(is)f(led)f(to)h(write)g(do)m(wn)h(an)f(iterativ)m
13520 (e)f(sc)m(heme)j(for)d(the)i(fragmen)m(tation,)d(as)j(follo)m(ws.)0
13521 1715 y(Assume)c(an)g(initial)26 b(quark)32 b(q)f(mo)m(ving)e(out)h
13522 (along)f(the)i(+)p Fj(z)k Fw(axis,)c(with)f(the)h(an)m(tiquark)g(going)
13523 e(out)h(in)0 1823 y(the)e(opp)s(osite)e(direction.)41
13524 b(By)27 b(the)h(pro)s(duction)e(of)h(a)g(q)2021 1838
13525 y Fl(1)p 2061 1770 52 4 v 2061 1823 a Fw(q)2112 1847
13526 y Fl(1)2179 1823 y Fw(pair,)g(a)g(meson)g(q)p 2822 1770
13527 V(q)2874 1847 y Fl(1)2941 1823 y Fw(is)f(pro)s(duced,)j(lea)m(ving)0
13528 1932 y(b)s(ehind)36 b(an)h(unpaired)f(quark)i(q)1208
13529 1947 y Fl(1)1248 1932 y Fw(.)55 b(A)37 b(second)h(pair)d(q)2014
13530 1947 y Fl(2)p 2054 1879 V 2054 1932 a Fw(q)2106 1955
13531 y Fl(2)2182 1932 y Fw(ma)m(y)h(no)m(w)h(b)s(e)g(pro)s(duced,)h(to)f
13532 (giv)m(e)f(a)h(new)0 2040 y(meson)f(q)353 2055 y Fl(1)p
13533 393 1987 V 393 2040 a Fw(q)444 2064 y Fl(2)484 2040 y
13534 Fw(,)g(etc.)54 b(A)m(t)36 b(eac)m(h)g(step)h(the)f(pro)s(duced)h
13535 (hadron)e(tak)m(es)i(some)f(fraction)f(of)g(the)h(a)m(v)-5
13536 b(ailable)0 2148 y(energy)40 b(and)f(momen)m(tum.)61
13537 b(This)39 b(pro)s(cess)h(ma)m(y)f(b)s(e)g(iterated)f(un)m(til)g(all)f
13538 (energy)j(is)e(used)i(up,)h(with)0 2257 y(some)h(mo)s(di\014cations)d
13539 (close)j(to)f(the)p 1410 2204 V 42 w(q)h(end)h(of)e(the)h(string)f(in)g
13540 (order)h(to)g(mak)m(e)f(total)g(energy)h(and)0 2365 y(momen)m(tum)31
13541 b(come)h(out)h(righ)m(t.)146 2473 y(The)43 b(c)m(hoice)f(of)f(starting)
13542 g(the)h(fragmen)m(tation)e(from)h(the)h(quark)g(end)h(is)e(arbitrary)-8
13543 b(,)43 b(ho)m(w)m(ev)m(er.)0 2582 y(A)c(fragmen)m(tation)e(pro)s(cess)k
13544 (describ)s(ed)f(in)e(terms)h(of)g(starting)f(at)h(the)p
13545 2719 2529 V 40 w(q)g(end)h(of)f(the)g(system)h(and)0
13546 2690 y(fragmen)m(ting)22 b(to)m(w)m(ards)j(the)f(q)h(end)f(should)g(b)s
13547 (e)g(equiv)-5 b(alen)m(t.)40 b(This)24 b(`left{righ)m(t')e(symmetry)i
13548 (constrains)0 2798 y(the)48 b(allo)m(w)m(ed)g(shap)s(e)g(of)g(the)g
13549 (fragmen)m(tation)e(function)i Fj(f)11 b Fw(\()p Fj(z)t
13550 Fw(\),)52 b(where)d Fj(z)k Fw(is)47 b(the)i(fraction)e(of)g(the)0
13551 2907 y(remaining)d(ligh)m(t-cone)h(momen)m(tum)g Fj(E)38
13552 b Fn(\006)32 b Fj(p)1724 2922 y Fh(z)1810 2907 y Fw(\(+)46
13553 b(for)g(the)g(q)h(jet,)j Fn(\000)d Fw(for)f(the)p 3069
13554 2854 V 47 w(q)h(one\))f(tak)m(en)i(b)m(y)0 3015 y(eac)m(h)38
13555 b(new)g(particle.)56 b(The)38 b(resulting)e(`Lund)i(symmetric)e
13556 (fragmen)m(tation)f(function')i(has)g(t)m(w)m(o)h(free)0
13557 3123 y(parameters,)33 b(whic)m(h)g(are)f(determined)h(from)e(data.)146
13558 3232 y(If)39 b(sev)m(eral)h(partons)f(are)g(mo)m(ving)f(apart)h(from)f
13559 (a)g(common)g(origin,)h(the)g(details)f(of)h(the)g(string)0
13560 3340 y(dra)m(wing)k(b)s(ecome)h(more)f(complicated.)76
13561 b(F)-8 b(or)43 b(a)g(q)p 1941 3287 V(q)q(g)i(ev)m(en)m(t,)k(a)43
13562 b(string)g(is)h(stretc)m(hed)h(from)e(the)h(q)0 3448
13563 y(end)c(via)f(the)h(g)g(to)f(the)p 923 3396 V 40 w(q)h(end,)h(i.e.)64
13564 b(the)40 b(gluon)e(is)h(a)g(kink)g(on)h(the)g(string,)g(carrying)f
13565 (energy)h(and)0 3557 y(momen)m(tum.)i(As)31 b(a)g(consequence,)j(the)e
13566 (gluon)e(has)h(t)m(w)m(o)h(string)f(pieces)h(attac)m(hed,)g(and)f(the)g
13567 (ratio)f(of)0 3665 y(gluon)e(to)g(quark)h(string)f(force)h(is)f(2,)h(a)
13568 g(n)m(um)m(b)s(er)g(whic)m(h)g(can)g(b)s(e)g(compared)f(with)g(the)h
13569 (ratio)e(of)h(colour)0 3774 y(c)m(harge)38 b(Casimir)d(op)s(erators,)j
13570 Fj(N)1221 3789 y Fh(C)1280 3774 y Fj(=C)1399 3789 y Fh(F)1493
13571 3774 y Fw(=)d(2)p Fj(=)p Fw(\(1)25 b Fn(\000)h Fw(1)p
13572 Fj(=)-5 b(N)2098 3737 y Fl(2)2088 3798 y Fh(C)2146 3774
13573 y Fw(\))35 b(=)h(9)p Fj(=)p Fw(4.)56 b(In)38 b(this,)g(as)f(in)f(other)
13574 i(resp)s(ects,)0 3882 y(the)j(string)g(mo)s(del)e(can)i(b)s(e)g(view)m
13575 (ed)h(as)f(a)g(v)-5 b(arian)m(t)40 b(of)g(QCD)h(where)h(the)f(n)m(um)m
13576 (b)s(er)g(of)g(colours)f Fj(N)3720 3897 y Fh(C)0 3990
13577 y Fw(is)e(not)g(3)g(but)g(in\014nite.)60 b(Note)38 b(that)g(the)h
13578 (factor)e(2)h(ab)s(o)m(v)m(e)h(do)s(es)g(not)f(dep)s(end)h(on)f(the)h
13579 (kinematical)0 4099 y(con\014guration:)69 b(a)46 b(smaller)e(op)s
13580 (ening)h(angle)g(b)s(et)m(w)m(een)j(t)m(w)m(o)e(partons)g(corresp)s
13581 (onds)h(to)f(a)f(smaller)0 4207 y(string)31 b(length)g(dra)m(wn)i(out)f
13582 (p)s(er)g(unit)f(time,)g(but)h(also)e(to)i(an)g(increased)g(transv)m
13583 (erse)i(v)m(elo)s(cit)m(y)e(of)f(the)0 4315 y(string)i(piece,)h(whic)m
13584 (h)g(giv)m(es)g(an)g(exactly)g(comp)s(ensating)e(b)s(o)s(ost)h(factor)g
13585 (in)g(the)h(energy)h(densit)m(y)f(p)s(er)0 4424 y(unit)e(string)g
13586 (length.)146 4532 y(The)g(q)p 396 4479 V(q)q(g)g(string)e(will)f
13587 (fragmen)m(t)h(along)g(its)g(length.)42 b(T)-8 b(o)31
13588 b(\014rst)h(appro)m(ximation)c(this)j(means)g(that)0
13589 4640 y(there)38 b(is)f(one)h(fragmen)m(ting)d(string)i(piece)h(b)s(et)m
13590 (w)m(een)h(q)f(and)f(g)i(and)e(a)g(second)i(one)f(b)s(et)m(w)m(een)h(g)
13591 f(and)p 0 4696 V 0 4749 a(q.)82 b(One)45 b(hadron)g(is)g(straddling)f
13592 (b)s(oth)g(string)h(pieces,)k(i.e.)81 b(sitting)43 b(around)i(the)h
13593 (gluon)e(corner.)0 4857 y(The)c(rest)h(of)e(the)h(particles)e(are)i
13594 (pro)s(duced)g(as)g(in)f(t)m(w)m(o)h(simple)e(q)p 2498
13595 4804 V(q)i(strings,)h(but)f(strings)f(b)s(o)s(osted)0
13596 4965 y(with)j(resp)s(ect)i(to)f(the)g(o)m(v)m(erall)e(c.m.)74
13597 b(frame.)f(When)43 b(considered)h(in)e(detail,)h(the)g(string)f(motion)
13598 0 5074 y(and)33 b(fragmen)m(tation)d(is)j(more)e(complicated,)h(with)g
13599 (the)h(app)s(earance)g(of)f(additional)e(string)i(regions)0
13600 5182 y(during)k(the)i(time)d(ev)m(olution)h(of)h(the)g(system.)58
13601 b(These)39 b(corrections)e(are)g(esp)s(ecially)f(imp)s(ortan)m(t)f(for)
13602 0 5290 y(soft)k(and)h(collinear)d(gluons,)j(since)g(they)g(pro)m(vide)g
13603 (a)f(smo)s(oth)f(transition)g(b)s(et)m(w)m(een)k(ev)m(en)m(ts)f(where)0
13604 5399 y(suc)m(h)29 b(radiation)d(to)s(ok)i(place)g(and)g(ev)m(en)m(ts)i
13605 (where)f(it)e(did)h(not.)41 b(Therefore)30 b(the)e(string)f(fragmen)m
13606 (tation)0 5507 y(sc)m(heme)34 b(is)e(`infrared)g(safe')h(with)f(resp)s
13607 (ect)i(to)e(soft)h(or)f(collinear)e(gluon)i(emission.)146
13608 5615 y(F)-8 b(or)42 b(ev)m(en)m(ts)j(that)d(in)m(v)m(olv)m(e)h(man)m(y)
13609 g(partons,)i(there)e(ma)m(y)g(b)s(e)f(sev)m(eral)i(p)s(ossible)e(top)s
13610 (ologies)e(for)1841 5953 y(17)p eop
13611 %%Page: 18 24
13612 18 23 bop 0 -18 a Fw(their)27 b(ordering)g(along)g(the)h(string.)42
13613 b(An)28 b(example)f(w)m(ould)h(b)s(e)g(a)g(q)p 2409 -71
13614 52 4 v(q)q(g)2510 -3 y Fl(1)2549 -18 y Fw(g)2598 -3 y
13615 Fl(2)2665 -18 y Fw(\(the)g(gluon)f(indices)h(are)g(here)0
13616 90 y(used)39 b(to)e(lab)s(el)e(t)m(w)m(o)k(di\013eren)m(t)e
13617 (gluon-momen)m(tum)e(v)m(ectors\),)40 b(where)f(the)f(string)f(can)g
13618 (connect)i(the)0 198 y(partons)28 b(in)g(either)g(of)g(the)g(sequences)
13619 k(q)13 b Fn(\000)g Fw(g)1642 213 y Fl(1)1696 198 y Fn(\000)g
13620 Fw(g)1835 213 y Fl(2)1888 198 y Fn(\000)p 1978 145 V
13621 13 w Fw(q)29 b(and)g(q)13 b Fn(\000)g Fw(g)2447 213 y
13622 Fl(2)2501 198 y Fn(\000)g Fw(g)2640 213 y Fl(1)2693 198
13623 y Fn(\000)p 2783 145 V 13 w Fw(q)q(.)42 b(The)29 b(matrix)e(elemen)m
13624 (ts)0 307 y(that)36 b(are)h(calculable)e(in)h(p)s(erturbation)g(theory)
13625 h(con)m(tain)f(in)m(terference)i(terms)e(b)s(et)m(w)m(een)j(these)f(t)m
13626 (w)m(o)0 415 y(p)s(ossibilities,)25 b(whic)m(h)i(means)g(that)f(the)h
13627 (colour)f(\015o)m(w)h(is)g(not)f(alw)m(a)m(ys)h(w)m(ell-de\014ned.)42
13628 b(F)-8 b(ortunately)g(,)27 b(the)0 523 y(in)m(terference)k(terms)f(are)
13629 f(do)m(wn)i(in)e(magnitude)f(b)m(y)j(a)f(factor)f(1)p
13630 Fj(=)-5 b(N)2465 487 y Fl(2)2455 548 y Fh(C)2513 523
13631 y Fw(,)31 b(where)g Fj(N)2928 538 y Fh(C)3015 523 y Fw(=)c(3)j(is)f
13632 (the)h(n)m(um)m(b)s(er)0 632 y(of)38 b(colours,)h(so)f(appro)m(ximate)f
13633 (recip)s(es)h(can)h(b)s(e)f(found.)60 b(In)38 b(the)h(leading)d(log)h
13634 (sho)m(w)m(er)j(description,)0 740 y(on)31 b(the)g(other)f(hand,)i(the)
13635 f(rules)g(for)f(the)h(colour)f(\015o)m(w)h(are)f(w)m(ell-de\014ned.)44
13636 b(A)30 b(\014nal)g(commen)m(t:)42 b(in)30 b(the)0 848
13637 y(argumen)m(tation)37 b(for)i(the)g(imp)s(ortance)e(of)h(colour)g
13638 (\015o)m(ws)i(there)g(is)e(a)g(tacit)g(assumption)g(that)h(soft-)0
13639 957 y(gluon)21 b(exc)m(hanges)k(b)s(et)m(w)m(een)f(partons)f(will)d
13640 (not)i(normally)e(mess)j(up)f(the)h(original)c(colour)j(assignmen)m(t;)
13641 0 1065 y(this)32 b(is)g(lik)m(ely)g(the)h(case)g(but)g(has)g(not)f(b)s
13642 (een)i(pro)m(v)m(en.)0 1339 y Fp(2.5)135 b(Deca)l(ys)0
13643 1512 y Fw(A)27 b(large)e(fraction)g(of)h(the)h(particles)f(pro)s(duced)
13644 h(b)m(y)h(fragmen)m(tation)c(are)j(unstable)f(and)h(subsequen)m(tly)0
13645 1620 y(deca)m(y)36 b(in)m(to)e(the)h(observ)-5 b(able)34
13646 b(stable)h(\(or)f(almost)f(stable\))h(ones.)50 b(It)35
13647 b(is)f(therefore)h(imp)s(ortan)m(t)e(to)h(in-)0 1728
13648 y(clude)k(all)d(particles)i(with)h(their)f(prop)s(er)h(mass)f
13649 (distributions)g(and)g(deca)m(y)i(prop)s(erties.)59 b(Although)0
13650 1837 y(in)m(v)m(olving)43 b(little)f(deep)j(ph)m(ysics,)k(this)44
13651 b(is)f(less)i(trivial)d(than)i(it)f(ma)m(y)h(sound:)68
13652 b(while)43 b(a)h(lot)f(of)h(ex-)0 1945 y(p)s(erimen)m(tal)36
13653 b(information)g(is)h(a)m(v)-5 b(ailable,)38 b(there)h(is)e(also)h(v)m
13654 (ery)i(m)m(uc)m(h)e(that)g(is)g(missing.)59 b(F)-8 b(or)38
13655 b(c)m(harm)0 2053 y(mesons,)44 b(it)c(is)g(necessary)j(to)e(put)g
13656 (together)h(measured)f(exclusiv)m(e)h(branc)m(hing)f(ratios)f(with)h
13657 (some)0 2162 y(inclusiv)m(e)33 b(m)m(ultiplicit)m(y)e(distributions)h
13658 (to)i(obtain)f(a)g(consisten)m(t)i(and)f(reasonably)g(complete)f(set)i
13659 (of)0 2270 y(deca)m(y)26 b(c)m(hannels,)i(a)d(rather)g(delicate)f
13660 (task.)42 b(F)-8 b(or)24 b(b)s(ottom,)h(so)g(far)g(only)f(a)h(rather)g
13661 (simple)f(phase-space)0 2378 y(t)m(yp)s(e)33 b(of)g(generator)f(has)h
13662 (b)s(een)g(used)h(for)e(hadronic)g(deca)m(ys.)146 2487
13663 y(Normally)d(it)h(is)h(assumed)h(that)f(deca)m(y)i(pro)s(ducts)f(are)f
13664 (distributed)g(according)g(to)g(phase)h(space,)0 2595
13665 y(i.e.)56 b(that)36 b(there)i(is)e(no)h(dynamics)g(in)m(v)m(olv)m(ed)g
13666 (in)f(their)h(relativ)m(e)f(distribution.)54 b(Ho)m(w)m(ev)m(er,)40
13667 b(in)c(man)m(y)0 2703 y(cases)44 b(additional)c(assumptions)j(are)g
13668 (necessary)-8 b(,)47 b(e.g.)75 b(for)42 b(semileptonic)f(deca)m(ys)j
13669 (of)f(c)m(harm)f(and)0 2812 y(b)s(ottom)d(hadrons)i(one)g(needs)g(to)g
13670 (include)e(the)i(prop)s(er)g(w)m(eak)g(matrix)e(elemen)m(ts.)68
13671 b(P)m(articles)40 b(ma)m(y)0 2920 y(also)21 b(b)s(e)i(pro)s(duced)g(p)s
13672 (olarized)d(and)j(impart)d(a)i(non-isotropic)e(distribution)h(to)g
13673 (their)h(deca)m(y)i(pro)s(ducts.)0 3028 y(Man)m(y)38
13674 b(of)d(these)j(e\013ects)g(are)e(not)h(at)f(all)e(treated)j(in)f(the)h
13675 (program.)53 b(In)37 b(fact,)g(spin)g(information)c(is)0
13676 3137 y(not)f(at)h(all)d(carried)i(along,)g(but)g(has)h(to)g(b)s(e)f
13677 (reconstructed)j(explicitly)c(when)i(needed.)146 3245
13678 y(The)26 b(normal)d(deca)m(y)j(treatmen)m(t)f(is)f(handled)h(b)m(y)i
13679 Fm(Jetset)p Fw(,)e(making)e(use)j(of)e(a)h(set)g(of)g(tables)f(where)0
13680 3353 y(branc)m(hing)43 b(ratios)e(and)i(deca)m(y)h(mo)s(des)f(are)f
13681 (stored.)75 b(In)43 b Fm(Pythia)g Fw(a)f(separate)h(deca)m(y)i
13682 (treatmen)m(t)0 3462 y(exists,)34 b(used)g(exclusiv)m(ely)g(for)e(a)h
13683 (sp)s(eci\014c)h(list)d(of)i(particles:)44 b(Z)2345 3426
13684 y Fl(0)2384 3462 y Fw(,)33 b(W)2545 3426 y Fk(\006)2604
13685 3462 y Fw(,)h(H)2738 3426 y Fl(0)2777 3462 y Fw(,)f(Z)2897
13686 3426 y Fk(0)p Fl(0)2956 3462 y Fw(,)g(W)3117 3426 y Fk(0\006)3195
13687 3462 y Fw(,)h(H)3329 3426 y Fk(0)p Fl(0)3387 3462 y Fw(,)g(A)3521
13688 3426 y Fl(0)3560 3462 y Fw(,)f(H)3693 3426 y Fk(\006)3752
13689 3462 y Fw(,)0 3570 y Fj(\021)52 3534 y Fl(0)48 3595 y(tec)n(h)180
13690 3570 y Fw(,)g(R)312 3534 y Fl(0)352 3570 y Fw(,)g(q)463
13691 3534 y Fk(\003)503 3570 y Fw(,)h Fj(`)605 3534 y Fk(\003)644
13692 3570 y Fw(,)g(and)f(the)h(lepto)s(quark)f(L)1616 3585
13693 y Fl(Q)1675 3570 y Fw(.)46 b(T)-8 b(ogether)34 b(w)m(e)h(call)c(these)k
13694 (resonances,)g(and)f(con)m(trast)0 3678 y(the)g(`particle)f(deca)m(y')j
13695 (treatmen)m(t)d(of)41 b Fm(Jetset)33 b Fw(with)g(the)i(`resonance)g
13696 (deca)m(y')g(one)g(of)40 b Fm(Pythia)p Fw(.)48 b(Of)0
13697 3787 y(course,)41 b(this)d(is)g(just)h(a)f(matter)f(of)h(terminology:)
13698 53 b(a)38 b(particle)f(lik)m(e)h(the)h Fj(\032)g Fw(could)e(also)h(b)s
13699 (e)h(called)e(a)0 3895 y(resonance.)42 b(What)25 b(c)m(haracterizes)g
13700 (a)f(\()p Fm(Pythia)p Fw(\))h(resonance)h(is)e(that)g(partial)e(widths)
13701 j(and)g(branc)m(hing)0 4003 y(ratios)h(are)i(calculated)e(dynamically)
13702 -8 b(,)26 b(as)i(a)f(function)g(of)g(the)h(actual)e(mass)i(of)f(a)g
13703 (particle.)40 b(Therefore)0 4112 y(not)e(only)g(do)h(branc)m(hing)f
13704 (ratios)f(c)m(hange)j(b)s(et)m(w)m(een)g(an)e(H)2201
13705 4076 y Fl(0)2279 4112 y Fw(of)g(nominal)e(mass)j(100)e(GeV)i(and)f(one)
13706 0 4220 y(of)e(200)g(GeV,)g(but)h(also)f(for)g(a)g(Higgs)g(of)g(nominal)
13707 e(mass)i(200)g(GeV,)h(the)g(branc)m(hing)f(ratios)g(w)m(ould)0
13708 4328 y(c)m(hange)26 b(b)s(et)m(w)m(een)h(an)e(actual)f(mass)h(of)g(190)
13709 f(GeV)h(and)g(210)g(GeV,)g(sa)m(y)-8 b(.)42 b(This)25
13710 b(is)g(particularly)e(relev)-5 b(an)m(t)0 4437 y(for)37
13711 b(reasonably)g(broad)g(resonances,)j(and)e(in)e(threshold)h(regions.)57
13712 b(F)-8 b(or)37 b(an)g(approac)m(h)g(lik)m(e)g(this)g(to)0
13713 4545 y(w)m(ork,)53 b(it)48 b(is)g(clearly)f(necessary)k(to)d(ha)m(v)m
13714 (e)i(p)s(erturbativ)m(e)e(expressions)j(a)m(v)-5 b(ailable)46
13715 b(for)h(all)g(partial)0 4653 y(widths,)31 b(whic)m(h)f(is)f(one)h
13716 (reason)g(wh)m(y)h(a)e(corresp)s(onding)h(treatmen)m(t)f(w)m(ould)h
13717 (not)f(b)s(e)h(the)g(same)f(for)h(an)0 4762 y(ordinary)i(hadronic)g
13718 (resonance,)i(lik)m(e)e(the)h Fj(\032)p Fw(.)146 4870
13719 y(The)49 b(deca)m(y)f(pro)s(ducts)g(of)54 b Fm(Pythia)47
13720 b Fw(resonances)j(are)d(t)m(ypically)f(quarks,)52 b(leptons,)f(or)c
13721 (other)0 4979 y(resonances,)e(e.g.)69 b(W)44 b Fn(!)e
13722 Fw(q)p 1073 4926 V(q)1125 4942 y Fk(0)1189 4979 y Fw(or)f(H)1390
13723 4942 y Fl(0)1472 4979 y Fn(!)g Fw(W)1714 4942 y Fl(+)1774
13724 4979 y Fw(W)1875 4942 y Fk(\000)1935 4979 y Fw(.)69 b(In)41
13725 b(deca)m(ys)i(to)e(quarks,)j(parton)d(sho)m(w)m(ers)i(are)0
13726 5087 y(automatically)34 b(added)j(to)g(giv)m(e)g(a)g(more)f(realistic)g
13727 (m)m(ultijet)f(structure,)k(and)f(one)f(ma)m(y)g(also)f(allo)m(w)0
13728 5195 y(photon)c(emission)f(o\013)h(leptons.)43 b(If)33
13729 b(the)f(deca)m(y)i(pro)s(ducts)f(in)e(turn)i(are)f(resonances,)i
13730 (further)f(deca)m(ys)0 5304 y(are)41 b(necessary)-8 b(.)70
13731 b(Often)41 b(spin)g(information)d(is)i(a)m(v)-5 b(ailable)38
13732 b(in)i(resonance)j(deca)m(y)f(matrix)d(elemen)m(ts,)0
13733 5412 y(con)m(trary)48 b(to)f(the)h(normal)e(state)i(of)f(a\013airs)f
13734 (in)h(ordinary)g(particle)f(deca)m(ys.)90 b(This)48 b(means)g(that)0
13735 5520 y(the)g(angular)f(orien)m(tations)g(in)g(the)h(t)m(w)m(o)h(deca)m
13736 (ys)h(of)d(a)h(W)2262 5484 y Fl(+)2322 5520 y Fw(W)2423
13737 5484 y Fk(\000)2530 5520 y Fw(pair)f(are)h(prop)s(erly)g(correlated.)0
13738 5629 y(Occasionally)-8 b(,)31 b(the)i(information)c(is)j(not)h(a)m(v)-5
13739 b(ailable,)30 b(and)j(then)g(resonances)h(deca)m(y)g(isotropically)-8
13740 b(.)1841 5953 y(18)p eop
13741 %%Page: 19 25
13742 19 24 bop 146 -18 a Fw(The)25 b(top)f(quark)h(is)f(a)g(sp)s(ecial)f
13743 (problem.)40 b(The)25 b(original)c(mac)m(hinery)j(is)f(based)i(on)g
13744 (the)f(assumption)0 90 y(that)f(the)g(t)f(is)h(long-liv)m(ed,)f(so)h
13745 (that)g(top)f(hadrons)i(ha)m(v)m(e)g(time)d(to)i(form)e(in)h(the)h
13746 (fragmen)m(tation)e(pro)s(cess,)0 198 y(and)37 b(afterw)m(ards)h(these)
13747 g(mesons)f(deca)m(y)h(w)m(eakly)-8 b(.)57 b(With)36 b(curren)m(t)i(`b)s
13748 (est)g(b)s(et')f(mass)g(v)-5 b(alues,)37 b(this)g(is)0
13749 307 y(not)e(correct,)h(but)g(one)f(should)g(rather)g(consider)h(top)f
13750 (deca)m(y)h(b)s(efore)f(fragmen)m(tation.)49 b(T)-8 b(op)36
13751 b(should)0 415 y(then)i(b)s(e)f(handled)g(lik)m(e)g(one)g(of)g(the)g
13752 (ab)s(o)m(v)m(e)h(resonances.)59 b(Therefore)38 b(the)g(program)e(no)m
13753 (w)h(con)m(tains)0 523 y(an)32 b(alternativ)m(e)g(along)f(these)j
13754 (lines,)e(whic)m(h)h(is)f(the)h(preferred)h(option.)1841
13755 5953 y(19)p eop
13756 %%Page: 20 26
13757 20 25 bop 0 -18 a Ft(3)161 b(Program)53 b(Ov)l(erview)0
13758 189 y Fw(This)40 b(section)h(con)m(tains)f(a)g(div)m(erse)i(collection)
13759 c(of)i(information.)63 b(The)41 b(\014rst)g(part)f(is)g(an)g(o)m(v)m
13760 (erview)0 297 y(of)34 b(previous)h Fm(Jetset)f Fw(and)h
13761 Fm(Pythia)g Fw(v)m(ersions.)51 b(The)35 b(second)h(giv)m(es)g
13762 (instructions)e(for)g(installation)0 405 y(of)f(the)h(programs)f(and)h
13763 (describ)s(es)h(their)e(philosoph)m(y:)45 b(ho)m(w)35
13764 b(they)f(are)g(constructed)h(and)f(ho)m(w)h(they)0 514
13765 y(are)f(supp)s(osed)h(to)f(b)s(e)g(used.)49 b(It)34 b(also)f(con)m
13766 (tains)h(some)f(information)e(on)j(ho)m(w)h(to)e(read)h(this)g(man)m
13767 (ual.)0 622 y(The)39 b(third)e(and)h(\014nal)e(part)i(con)m(tains)g
13768 (sev)m(eral)g(examples)g(of)f(pieces)i(of)e(co)s(de)h(or)f(short)h
13769 (programs,)0 730 y(to)e(illustrate)f(the)i(general)g(st)m(yle)g(of)f
13770 (program)g(usage.)57 b(The)37 b(last)f(part)h(is)f(mainly)f(in)m
13771 (tended)j(as)f(an)0 839 y(in)m(tro)s(duction)31 b(for)h(completely)g
13772 (new)h(users,)h(and)f(can)g(b)s(e)g(skipp)s(ed)g(b)m(y)g(more)f(exp)s
13773 (erienced)i(ones.)146 947 y(Since)48 b(the)f Fm(Jetset)g
13774 Fw(and)g Fm(Pythia)g Fw(programs)g(to)s(da)m(y)g(are)g(so)h(closely)e
13775 (connected,)53 b(and)47 b(are)0 1055 y(gradually)22 b(coalescing,)j
13776 (they)g(are)f(presen)m(ted)i(together)e(in)f(this)h(rep)s(ort.)40
13777 b(Ho)m(w)m(ev)m(er,)28 b(they)d(still)d(app)s(ear)0 1164
13778 y(as)33 b(separate)g(en)m(tities,)f(with)h(sligh)m(tly)e(di\013eren)m
13779 (t)h(st)m(yle)i(and)e(emphasis.)146 1272 y Fm(Jetset)42
13780 b Fw(is)g(the)h(older)f(of)h(the)g(t)m(w)m(o,)j(and)d(is)f(at)h(the)g
13781 (origin)d(of)j(the)g(whole)f(`Lund')i(family)c(of)0 1380
13782 y(ev)m(en)m(t)d(generators.)52 b(It)35 b(can)g(b)s(e)h(sub)s(divided)f
13783 (in)f(t)m(w)m(o)i(parts.)52 b(The)36 b(larger)e(is)g(a)h(generic)g(pac)
13784 m(k)-5 b(age)36 b(for)0 1489 y(jet)27 b(fragmen)m(tation,)f(particle)f
13785 (deca)m(ys,)30 b(\014nal-state)c(parton)h(sho)m(w)m(ers,)j(ev)m(en)m
13786 (t-analysis)d(routines,)h(and)0 1597 y(other)h(utitilies.)40
13787 b(This)29 b(pac)m(k)-5 b(age)29 b(can)g(b)s(e)g(used)h(in)e(the)i(con)m
13788 (text)g(of)e(an)m(y)i(hard)f(pro)s(cess,)i(pro)m(vided)e(one)0
13789 1705 y(is)e(willing)e(to)j(buy)g(the)h(underlying)e(assumption)g(of)h
13790 (jet)g(univ)m(ersalit)m(y)-8 b(,)28 b(i.e.)41 b(that)28
13791 b(the)g(fragmen)m(tation)0 1814 y(pro)s(cess)k(is)e(fundamen)m(tally)f
13792 (the)i(same)f(whether)i(one)f(is)f(considering)g(an)h(e)2812
13793 1778 y Fl(+)2871 1814 y Fw(e)2914 1778 y Fk(\000)3004
13794 1814 y Fw(or)f(a)h(pp)f(ev)m(en)m(t,)j(and)0 1922 y(that)26
13795 b(the)g(only)g(di\013erences)h(are)f(to)g(b)s(e)g(found)g(in)f(the)i
13796 (parton-lev)m(el)e(pro)s(cesses)j(in)m(v)m(olv)m(ed.)42
13797 b(This)26 b(pac)m(k-)0 2030 y(age)33 b(is)f(not)h(only)f(used)i(b)m(y)f
13798 (all)e(other)i(`Lund')g(programs,)f(but)i(also)d(b)m(y)j(n)m(umerous)f
13799 (other)g(programs)0 2139 y(written)j(to)f(study)j(sp)s(eci\014c)e(pro)s
13800 (cesses.)56 b(The)37 b(smaller)d(part)i(of)42 b Fm(Jetset)35
13801 b Fw(is)h(a)f(generator)h(for)g(e)3618 2103 y Fl(+)3677
13802 2139 y Fw(e)3720 2103 y Fk(\000)0 2247 y Fw(annihilation)g(ev)m(en)m
13803 (ts,)44 b(according)39 b(to)g(either)g(a)g(parton-sho)m(w)m(er)i(or)e
13804 (a)h(matrix-elemen)m(t)d(approac)m(h.)0 2355 y(The)d
13805 Fm(Jetset)d Fw(program)g(is)h(completely)g(selfcon)m(tained.)146
13806 2464 y Fm(Pythia)40 b Fw(is)f(a)g(program)f(made)h(to)g(generate)h
13807 (hard)f(or)g(soft)h(pro)s(cesses)h(in)e(collisions)d(b)s(et)m(w)m(een)0
13808 2572 y(leptons,)29 b(hadrons)f(and)g(photons,)h(esp)s(ecially)d(at)i(e)
13809 1893 2536 y Fl(+)1952 2572 y Fw(e)1995 2536 y Fk(\000)2055
13810 2572 y Fw(,)g(ep)g(and)g(pp)g(colliders.)40 b(Where)29
13811 b Fm(Jetset)e Fw(is)g(a)0 2680 y(lo)s(ose)h(collection)e(of)i(routines)
13812 g(that)g(y)m(ou)i(can)e(com)m(bine)g(as)h(desired,)h
13813 Fm(Pythia)e Fw(is)g(a)g(more)g(structured)0 2789 y(program,)k(where)i
13814 (y)m(ou)g(initially)29 b(set)34 b(up)f(what)h(pro)s(cesses)h(y)m(ou)f
13815 (w)m(an)m(t)g(to)e(study)-8 b(,)35 b(and)e(thereafter)h(all)0
13816 2897 y(ev)m(en)m(ts)k(will)33 b(b)s(e)j(generated)h(according)e(to)g
13817 (this)g(sp)s(eci\014cation.)52 b(Included)37 b(is)e(an)g(extensiv)m(e)j
13818 (library)0 3005 y(of)c(hard)h(subpro)s(cess)i(di\013eren)m(tial)32
13819 b(cross)k(sections,)g(a)e(library)f(of)i(parton)f(distributions,)g(a)g
13820 (pro)s(cess)0 3114 y(generation)i(mac)m(hinery)-8 b(,)38
13821 b(treatmen)m(t)f(of)f(initial-state)d(sho)m(w)m(ers)39
13822 b(and)e(b)s(eam)f(remnan)m(ts,)i(and)f(a)g(few)0 3222
13823 y(o)s(dds)e(and)g(ends.)51 b Fm(Jetset)34 b Fw(is)g(used)i(for)e
13824 (\014nal-state)g(sho)m(w)m(ers,)j(fragmen)m(tation)c(and)i(deca)m(y)-8
13825 b(,)37 b(but)e(no)0 3330 y(other)e(external)g(libraries)d(are)j
13826 (needed.)45 b(An)33 b(in)m(terface)g(to)f(external)h
13827 (parton-distribution)d(function)0 3439 y(libraries)g(is)j(pro)m(vided,)
13828 g(ho)m(w)m(ev)m(er.)146 3547 y(Man)m(y)48 b(programs)d(written)h(b)m(y)
13829 h(other)g(p)s(ersons)g(mak)m(e)g(use)g(of)53 b Fm(Jetset)p
13830 Fw(,)48 b(and)f(a)f(few)h(also)e(of)0 3655 y Fm(Pythia)p
13831 Fw(.)d(It)27 b(is)g(not)h(m)m(y)f(in)m(ten)m(tion)g(to)g(giv)m(e)g(a)h
13832 (complete)e(list)g(here.)43 b(A)27 b(ma)5 b(jorit)m(y)27
13833 b(of)g(these)h(programs)0 3764 y(are)i(sp)s(eci\014c)g(to)g(giv)m(en)g
13834 (collab)s(orations,)d(and)j(therefore)h(not)e(publicly)g(distributed.)
13835 42 b(Belo)m(w)30 b(w)m(e)h(giv)m(e)0 3872 y(a)e(list)f(of)h(a)g(few)g
13836 (public)g(programs)f(from)g(the)i(`Lund)g(group',)g(whic)m(h)f(ma)m(y)g
13837 (ha)m(v)m(e)i(a)e(somewhat)g(wider)0 3981 y(application.)53
13838 b(None)37 b(of)f(them)h(are)f(supp)s(orted)i(b)m(y)f(the)g(curren)m(t)h
13839 (author,)g(so)e(an)m(y)i(requests)h(should)0 4089 y(b)s(e)33
13840 b(directed)g(to)f(the)h(p)s(ersons)h(men)m(tioned.)145
13841 4202 y Fn(\017)49 b Fm(Ariadne)28 b Fw(is)f(a)h(generator)g(for)g(dip)s
13842 (ole)e(emission,)i(written)f(mainly)f(b)m(y)j(L.)f(L\177)-49
13843 b(onn)m(blad)28 b([P)m(et88].)244 4310 y(The)42 b(dip)s(ole)e(pro)m
13844 (vides)i(an)f(alternativ)m(e)f(form)m(ulation)f(of)h(initial-)d(and)42
13845 b(\014nal-state)e(sho)m(w)m(ers.)244 4419 y Fm(Jetset)28
13846 b Fw(or)h Fm(Pythia)h Fw(can)f(b)s(e)h(used)g(to)f(generate)h(the)g
13847 (hard)f(pro)s(cess)i(and)f Fm(Jetset)e Fw(to)h(do)g(the)244
13848 4527 y(fragmen)m(tation.)145 4645 y Fn(\017)49 b Fm(Ar)n(oma)42
13849 b Fw(is)e(a)h(generator)g(for)g(hea)m(vy-\015a)m(v)m(our)i(pro)s
13850 (cesses)g(in)e(leptopro)s(duction,)h(written)f(b)m(y)244
13851 4753 y(G.)32 b(Ingelman)f(and)i(G.)f(Sc)m(h)m(uler)i([Ing88)o(].)44
13852 b(It)33 b(uses)h Fm(Jetset)d Fw(for)h(fragmen)m(tation.)145
13853 4871 y Fn(\017)49 b Fm(Fritiof)25 b Fw(is)g(a)f(generator)h(for)f
13854 (hadron{hadron,)i(hadron{n)m(ucleus)g(and)f(n)m(ucleus{n)m(ucleus)i
13855 (col-)244 4979 y(lisions)d([Nil87)n(],)k(whic)m(h)e(mak)m(es)h(use)g
13856 (of)33 b Fm(Pythia)26 b Fw(to)g(generate)h(hard)f(QCD)g(scatterings)h
13857 (and)f(of)244 5088 y Fm(Jetset)g Fw(for)h(fragmen)m(tation.)40
13858 b(Curren)m(tly)29 b(H.)e(Pi)g(is)g(resp)s(onsible)g(for)g(program)g
13859 (dev)m(elopmen)m(t.)145 5205 y Fn(\017)49 b Fm(Lepto)24
13860 b Fw(is)h(a)g(leptopro)s(duction)e(ev)m(en)m(t)k(generator,)g(written)e
13861 (mainly)e(b)m(y)j(G.)f(Ingelman)f([Ing80)o(].)244 5314
13862 y(It)45 b(can)h(generate)f(parton)g(con\014gurations)g(in)g(deep)h
13863 (inelastic)d(scattering)i(according)g(to)g(a)244 5422
13864 y(n)m(um)m(b)s(er)31 b(of)g(p)s(ossibilities.)40 b(It)31
13865 b(mak)m(es)h(use)g(of)37 b Fm(Jetset)30 b Fw(for)h(fragmen)m(tation)e
13866 (and)i(additionally)244 5530 y(has)i(a)f(parton-sho)m(w)m(er)i(option)d
13867 (based)j(on)e Fm(Pythia)p Fw(.)145 5648 y Fn(\017)49
13868 b Fm(Lucifer)36 b Fw(is)g(a)g(photopro)s(duction)f(generator)h(written)
13869 g(b)m(y)h(G.)f(Ingelman)f(and)h(A.)g(W)-8 b(eigend)1841
13870 5953 y(20)p eop
13871 %%Page: 21 27
13872 21 26 bop 244 -18 a Fw([Ing87a)o(].)77 b(It)44 b(is)f(a)h(mo)s
13873 (di\014cation)d(of)i(an)h(earlier)e(v)m(ersion)i(of)50
13874 b Fm(Pythia)44 b Fw(and)g(mak)m(es)g(use)h(of)244 90
13875 y Fm(Jetset)p Fw(.)145 208 y Fn(\017)k Fm(Pompyt)41 b
13876 Fw(is)f(a)g(generator)g(for)g(p)s(omeron)g(in)m(teractions)g(written)h
13877 (b)m(y)g(P)-8 b(.)41 b(Bruni)f(and)g(G.)h(In-)244 316
13878 y(gelman)35 b([Bru93].)55 b(This)37 b(program)f(de\014nes)i(parton)e
13879 (distributions,)h(\015ux)g(factors)g(and)f(other)244
13880 424 y(asp)s(ects)d(sp)s(eci\014c)f(to)f(the)h(p)s(omeron,)f(whic)m(h)h
13881 (is)e(com)m(bined)i(with)f(the)h(standard)f Fm(Pythia)h
13882 Fw(ma-)244 533 y(c)m(hinery)h(for)f(pro)s(cess)i(generation.)145
13883 650 y Fn(\017)49 b Fm(Twister)31 b Fw(is)g(a)f(generator)i(for)e
13884 (higher-t)m(wist)h(pro)s(cesses,)i(written)f(b)m(y)g(G.)e(Ingelman)h
13885 ([Ing87)o(].)244 759 y(It)i(is)f(a)g(mo)s(di\014cation)e(of)i(an)g
13886 (earlier)f(v)m(ersion)j(of)39 b Fm(Pythia)32 b Fw(and)h(mak)m(es)g(use)
13887 h(of)39 b Fm(Jetset)p Fw(.)0 872 y(One)d(should)f(also)f(note)i(that)f
13888 (a)g(v)m(ersion)h(of)42 b Fm(Pythia)36 b Fw(has)f(b)s(een)h(mo)s
13889 (di\014ed)f(to)g(include)f(the)i(e\013ects)0 980 y(of)h(longitudinally)
13890 32 b(p)s(olarized)k(incoming)f(protons.)57 b(This)37
13891 b(is)f(the)i(w)m(ork)g(of)e(St.)57 b(G)s(\177)-51 b(ullenstern)35
13892 b(et)j(al.)0 1089 y([G)s(\177)-51 b(ul93)m(].)0 1362
13893 y Fp(3.1)135 b(Up)t(date)46 b(History)0 1535 y Fw(Both)31
13894 b Fm(Jetset)f Fw(and)g Fm(Pythia)h Fw(are)g(b)m(y)h(no)m(w)g(fairly)d
13895 (old)g(and)i(w)m(ell-established)f(programs,)g(but)i(they)0
13896 1643 y(are)i(still)e(steadily)h(b)s(eing)g(impro)m(v)m(ed)h(on.)48
13897 b(While)33 b(ev)m(olution)g(w)m(as)i(esp)s(ecially)e(rapid)g(for)g
13898 Fm(Jetset)g Fw(in)0 1752 y(the)c(early)f(da)m(ys,)j(that)d(program)g
13899 (has)h(b)m(y)g(no)m(w)h(reac)m(hed)g(a)e(certain)g(lev)m(el)h(of)f
13900 (maturit)m(y)-8 b(,)28 b(and)h(the)g(pace)0 1860 y(of)40
13901 b(c)m(hange)h(has)f(dropp)s(ed)h(signi\014can)m(tly)-8
13902 b(.)65 b Fm(Pythia)p Fw(,)42 b(on)e(the)h(other)f(hand,)i(has)f(b)s
13903 (een)g(con)m(tin)m(ually)0 1969 y(extended)i(in)c(recen)m(t)j(y)m
13904 (ears,)i(and)d(ma)m(y)f(still)f(see)i(further)g(gro)m(wth,)i(although)d
13905 (most)g(of)g(the)h(basic)0 2077 y(structure)34 b(should)e(b)s(e)h(in)f
13906 (place)g(b)m(y)i(no)m(w.)146 2185 y(In)g(earlier)f(da)m(ys,)i(b)s
13907 (efore)f(the)g(adv)m(en)m(t)h(of)e(electronic)h(mail,)d(programs)i(w)m
13908 (ere)i(only)e(infrequen)m(tly)0 2294 y(distributed,)49
13909 b(and)d(v)m(ersion)h(n)m(um)m(b)s(ers)g(corresp)s(onded)h(to)e
13910 (distinct)f(new)i(upgrades.)85 b(T)-8 b(o)s(da)m(y)g(,)50
13911 b(the)0 2402 y(ev)m(olutionary)41 b(pro)s(cess)h(is)f(more)g(con)m(tin)
13912 m(uous)h(and)g(so)f(is)g(the)h(distribution)e(of)h(new)h(v)m(ersions.)
13913 71 b(In)0 2510 y(particular,)36 b(the)h(in)m(tro)s(duction)e(of)h(a)h
13914 (new)g(pro)s(cess)h(or)e(feature)h(is)f(often)h(done)g(on)f(short)h
13915 (notice,)h(if)0 2619 y(no)j(problems)f(of)h(bac)m(kw)m(ards)i
13916 (compatibilit)m(y)38 b(are)j(in)m(v)m(olv)m(ed.)70 b(With)40
13917 b(this)h(distribution,)h(the)f(sub-)0 2727 y(v)m(ersion)g(n)m(um)m(b)s
13918 (ers)h(ha)m(v)m(e)f(therefore)h(b)s(een)f(expanded)h(to)e(three)i
13919 (digits,)f(where)h(the)f(last)e(t)m(w)m(o)j(giv)m(e)0
13920 2835 y(sub-sub)m(v)m(ersions.)53 b(F)-8 b(or)34 b(ev)m(ery)i(c)m(hange)
13921 g(made)e(in)g(the)i(public)e(\014le,)h(the)g(sub-sub)m(v)m(ersion)i(n)m
13922 (um)m(b)s(er)e(is)0 2944 y(up)s(dated,)30 b(together)f(with)g(the)g
13923 (`last)f(date)h(of)f(c)m(hange'.)43 b(In)30 b(most)e(referencing)h(the)
13924 g(shorter)g(`)p Fm(Jetset)0 3052 y Fw(v)m(ersion)k(7.4')f(could)h
13925 (still)d(b)s(e)j(preferable)f(to)g(e.g.)44 b(`)p Fm(Jetset)32
13926 b Fw(v)m(ersion)h(7.412'.)146 3160 y(F)-8 b(or)42 b(the)g(record,)k(in)
13927 41 b(T)-8 b(ables)42 b(1)g(and)h(2)f(w)m(e)h(list)e(the)h(o\016cial)f
13928 (main)f(v)m(ersions)k(of)k Fm(Jetset)41 b Fw(and)0 3269
13929 y Fm(Pythia)p Fw(,)33 b(resp)s(ectiv)m(ely)-8 b(,)33
13930 b(with)g(some)f(brief)g(commen)m(ts.)146 3377 y(All)25
13931 b(v)m(ersions)i(preceding)h Fm(Jetset)e Fw(7.3)g(and)g
13932 Fm(Pythia)h Fw(5.6)e(should)i(no)m(w)g(b)s(e)f(considered)h(obsolete,)0
13933 3485 y(and)j(are)f(no)h(longer)e(supp)s(orted.)44 b(F)-8
13934 b(or)28 b(stable)i(applications,)e(the)i(earlier)e(com)m(bination)f
13935 Fm(Jetset)i Fw(6.3)0 3594 y(and)k Fm(Pythia)f Fw(4.8)h(could)f(still)e
13936 (b)s(e)j(used,)h(ho)m(w)m(ev)m(er.)146 3702 y Fm(Jetset)42
13937 b Fw(v)m(ersion)h(7)g(and)f Fm(Pythia)h Fw(v)m(ersion)g(5)g(ha)m(v)m(e)
13938 h(b)s(een)f(ev)m(olv)m(ed)h(in)e(parallel,)h(so)f(some)h(of)0
13939 3810 y(the)34 b(pro)s(cesses)i(added)e(in)f(later)g(v)m(ersions)i(of)40
13940 b Fm(Pythia)34 b Fw(mak)m(e)g(use)g(of)f(particle)g(data)g(only)g
13941 (found)h(in)0 3919 y Fm(Jetset)f Fw(from)f(that)i(time)e(on)m(w)m
13942 (ards.)48 b(Although)33 b(it)g(w)m(ould)g(b)s(e)h(p)s(ossible)f(to)h
13943 (com)m(bine)f Fm(Pythia)h Fw(5.7)0 4027 y(with)c Fm(Jetset)f
13944 Fw(7.3,)h(e.g.,)h(it)e(is)h(not)f(recommended.)43 b(F)-8
13945 b(rom)29 b(the)h(curren)m(t)i(v)m(ersions)f(on)m(w)m(ards,)h(c)m(hec)m
13946 (ks)0 4135 y(ha)m(v)m(e)26 b(therefore)f(b)s(een)h(in)m(tro)s(duced)f
13947 (to)f(detect)i(the)f(use)h(of)e(\(p)s(oten)m(tially\))e(incompatible)g
13948 (sub)m(v)m(ersions,)0 4244 y(with)32 b(w)m(arnings)h(issued)g(at)f
13949 (initialization)27 b(if)32 b(that)g(should)h(b)s(e)f(the)h(case.)146
13950 4352 y(Previous)39 b(v)m(ersions)f(of)g(the)g(man)m(uals)f(ha)m(v)m(e)i
13951 (con)m(tained)f(detailed)e(lists)h(of)g(mo)s(di\014cations)f(from)0
13952 4460 y(one)42 b(v)m(ersion)g(to)g(the)g(next,)j(see)e(e.g.)71
13953 b([Sj\177)-49 b(o92d].)71 b(Belo)m(w)41 b(w)m(e)i(only)e(repro)s(duce)i
13954 (the)f(up)s(dates)h(that)0 4569 y(app)s(ear)e(with)f(the)h(most)f
13955 (recen)m(t)i(v)m(ersions)g(of)e(the)h(programs.)67 b(Some)41
13956 b(of)f(them)g(w)m(ere)i(in)m(tro)s(duced)0 4677 y(in)f(later)f
13957 (editions)h(of)48 b Fm(Pythia)42 b Fw(5.6)f(with)g Fm(Jetset)g
13958 Fw(7.3,)i(while)e(others)h(are)g(completely)e(new.)72
13959 b(If)0 4785 y(nothing)35 b(is)g(explicitly)f(said,)i(these)h(c)m
13960 (hanges)g(do)f(not)g(a\013ect)g(bac)m(kw)m(ards)i(compatibilit)m(y)-8
13961 b(,)33 b(but)j(only)0 4894 y(add)d(new)g(features.)0
13962 5142 y Fo(3.1.1)112 b(Up)s(dates)39 b(in)e(JETSET)f(7.4)0
13963 5314 y Fw(Changes)43 b(from)e(v)m(ersion)i(7.3)e(to)h(7.4)f(are)i(not)e
13964 (so)i(large,)g(although)e(the)h(impact)f(of)h(the)g(up)s(dated)0
13965 5423 y(particle)31 b(data)h(and)h(parameter)f(default)g(v)-5
13966 b(alues)33 b(ma)m(y)f(need)i(to)e(b)s(e)h(studied.)145
13967 5536 y Fn(\017)49 b Fw(P)m(article)40 b(data)h(ha)m(v)m(e)i(b)s(een)f
13968 (up)s(dated)f(in)g(accordance)h(with)f(the)h(1992)e(Review)i(of)e(P)m
13969 (article)244 5644 y(Prop)s(erites)28 b([PDG92)o(].)42
13970 b(\(As)29 b(usual,)g(with)f(a)g(free)h(in)m(terpretation)e(of)h
13971 (inconsistencies,)h(unclar-)1841 5953 y(21)p eop
13972 %%Page: 22 28
13973 22 27 bop 118 34 a Fw(T)-8 b(able)40 b(1:)59 b(The)41
13974 b(main)d(v)m(ersions)k(of)k Fm(Jetset)p Fw(,)c(with)e(their)f(date)i
13975 (of)f(app)s(earance,)i(published)118 142 y(man)m(uals,)32
13976 b(and)g(main)f(c)m(hanges)j(from)e(previous)h(v)m(ersions.)p
13977 193 308 3394 4 v 191 452 4 145 v 243 396 a(No.)p 440
13978 452 V 156 w(Date)p 857 452 V 210 w(Publ.)p 1295 452 V
13979 155 w(Main)f(new)h(or)f(impro)m(v)m(ed)h(features)p 3583
13980 452 V 193 455 3394 4 v 191 575 4 121 v 293 543 a(1)p
13981 440 575 V 158 w(No)m(v)g(78)p 857 575 V 134 w([Sj\177)-49
13982 b(o78])p 1295 575 V 127 w(single-quark)31 b(jets)p 3583
13983 575 V 191 696 V 293 663 a(2)p 440 696 V 150 w(Ma)m(y)i(79)p
13984 857 696 V 126 w([Sj\177)-49 b(o79])p 1295 696 V 127 w(hea)m(vy-\015a)m
13985 (v)m(our)34 b(jets)p 3583 696 V 191 816 V 255 784 a(3.1)p
13986 440 816 V 117 w(Aug)f(79)p 857 816 V 225 w(|)p 1295 816
13987 V 220 w(2-jets)f(in)g(e)1767 747 y Fl(+)1826 784 y Fw(e)1869
13988 747 y Fk(\000)1929 784 y Fw(,)g(preliminary)e(3-jets)p
13989 3583 816 V 191 937 V 255 904 a(3.2)p 440 937 V 122 w(Apr)j(80)p
13990 857 937 V 137 w([Sj\177)-49 b(o80])p 1295 937 V 127 w(3-jets)32
13991 b(in)g(e)1767 868 y Fl(+)1826 904 y Fw(e)1869 868 y Fk(\000)1961
13992 904 y Fw(with)g(full)f(matrix)g(elemen)m(ts,)p 3583 937
13993 V 191 1057 V 440 1057 V 857 1057 V 1295 1057 V 1347 1024
13994 a(top)s(onium)f Fn(!)e Fw(ggg)33 b(deca)m(ys)p 3583 1057
13995 V 191 1177 V 255 1145 a(3.3)p 440 1177 V 117 w(Aug)g(80)p
13996 857 1177 V 225 w(|)p 1295 1177 V 220 w(softer)f(fragmen)m(tation)f(sp)s
13997 (ectrum)p 3583 1177 V 191 1298 V 255 1265 a(4.1)p 440
13998 1298 V 122 w(Apr)i(81)p 857 1298 V 231 w(|)p 1295 1298
13999 V 220 w(bary)m(on)g(pro)s(duction)f(and)g(diquark)h(fragmen)m(tation,)p
14000 3583 1298 V 191 1418 V 440 1418 V 857 1418 V 1295 1418
14001 V 1347 1386 a(fourth-generation)e(quarks,)j(larger)d(jet)i(systems)p
14002 3583 1418 V 191 1538 V 255 1506 a(4.2)p 440 1538 V 120
14003 w(No)m(v)g(81)p 857 1538 V 228 w(|)p 1295 1538 V 220
14004 w(lo)m(w-)p Fj(p)1573 1521 y Fk(?)1663 1506 y Fw(ph)m(ysics)p
14005 3583 1538 V 191 1659 V 255 1626 a(4.3)p 440 1659 V 117
14006 w(Mar)g(82)p 857 1659 V 131 w([Sj\177)-49 b(o82])p 1295
14007 1659 V 127 w(4-jets)32 b(and)h(QFD)e(structure)j(in)e(e)2621
14008 1590 y Fl(+)2680 1626 y Fw(e)2723 1590 y Fk(\000)2783
14009 1626 y Fw(,)p 3583 1659 V 191 1779 V 440 1779 V 519 1747
14010 a(Jul)g(82)p 857 1779 V 154 w([Sj\177)-49 b(o83])p 1295
14011 1779 V 127 w(ev)m(en)m(t-analysis)33 b(routines)p 3583
14012 1779 V 191 1900 V 255 1867 a(5.1)p 440 1900 V 122 w(Apr)g(83)p
14013 857 1900 V 231 w(|)p 1295 1900 V 220 w(impro)m(v)m(ed)f(string)g
14014 (fragmen)m(tation)f(sc)m(heme,)i(symmetric)p 3583 1900
14015 V 191 2020 V 440 2020 V 857 2020 V 1295 2020 V 1347 1987
14016 a(fragmen)m(tation,)d(full)h(2)2222 1951 y Fl(nd)2337
14017 1987 y Fw(order)i(QCD)f(for)g(e)3037 1951 y Fl(+)3096
14018 1987 y Fw(e)3139 1951 y Fk(\000)p 3583 2020 V 191 2140
14019 V 255 2108 a Fw(5.2)p 440 2140 V 120 w(No)m(v)h(83)p
14020 857 2140 V 228 w(|)p 1295 2140 V 220 w(momen)m(tum-conserv)-5
14021 b(ation)30 b(sc)m(hemes)k(for)e(IF,)p 3583 2140 V 191
14022 2261 V 440 2261 V 857 2261 V 1295 2261 V 1347 2228 a(initial-state)c
14023 (photon)33 b(radiation)d(in)i(e)2772 2192 y Fl(+)2831
14024 2228 y Fw(e)2874 2192 y Fk(\000)p 3583 2261 V 191 2381
14025 V 255 2349 a Fw(5.3)p 440 2381 V 112 w(Ma)m(y)h(84)p
14026 857 2381 V 220 w(|)p 1295 2381 V 220 w(`p)s(op)s(corn')f(mo)s(del)f
14027 (for)h(bary)m(on)h(pro)s(duction)p 3583 2381 V 191 2501
14028 V 255 2469 a(6.1)p 440 2501 V 129 w(Jan)f(85)p 857 2501
14029 V 237 w(|)p 1295 2501 V 220 w(common)f(blo)s(c)m(ks)i(restructured,)h
14030 (parton)e(sho)m(w)m(ers)p 3583 2501 V 191 2622 V 255
14031 2589 a(6.2)p 440 2622 V 126 w(Oct)h(85)p 857 2622 V 141
14032 w([Sj\177)-49 b(o86])p 1295 2622 V 127 w(error)32 b(detection)p
14033 3583 2622 V 191 2742 V 255 2710 a(6.3)p 440 2742 V 126
14034 w(Oct)h(86)p 857 2742 V 141 w([Sj\177)-49 b(o87])p 1295
14035 2742 V 127 w(new)33 b(parton-sho)m(w)m(er)h(sc)m(heme)p
14036 3583 2742 V 191 2863 V 255 2830 a(7.1)p 440 2863 V 129
14037 w(F)-8 b(eb)32 b(89)p 857 2863 V 237 w(|)p 1295 2863
14038 V 220 w(new)h(particle)e(co)s(des)j(and)e(common)g(blo)s(c)m(k)g
14039 (structure,)p 3583 2863 V 191 2983 V 440 2983 V 857 2983
14040 V 1295 2983 V 1347 2950 a(more)f(mesons,)j(impro)m(v)m(ed)e(deca)m(ys,)
14041 j(v)m(ertex)f(information,)p 3583 2983 V 191 3103 V 440
14042 3103 V 857 3103 V 1295 3103 V 1347 3071 a(Ab)s(elian)d(gluon)g(mo)s
14043 (del,)g(Bose{Einstein)i(e\013ects)p 3583 3103 V 191 3224
14044 V 255 3191 a(7.2)p 440 3224 V 120 w(No)m(v)g(89)p 857
14045 3224 V 228 w(|)p 1295 3224 V 220 w(in)m(terface)f(to)g(new)i(standard)f
14046 (common)e(blo)s(c)m(k,)p 3583 3224 V 191 3344 V 440 3344
14047 V 857 3344 V 1295 3344 V 1347 3312 a(photon)h(emission)f(in)h(sho)m(w)m
14048 (ers)p 3583 3344 V 191 3465 V 255 3432 a(7.3)p 440 3465
14049 V 112 w(Ma)m(y)h(90)p 857 3465 V 99 w([Sj\177)-49 b(o92d])p
14050 1295 3465 V 100 w(expanded)34 b(supp)s(ort)f(for)f(non-standard)g
14051 (particles)p 3583 3465 V 191 3609 4 145 v 255 3552 a(7.4)p
14052 440 3609 V 124 w(Dec)h(93)p 857 3609 V 139 w([Sj\177)-49
14053 b(o94])p 1295 3609 V 127 w(up)s(dated)33 b(particle)e(data)h(and)h
14054 (defaults)p 3583 3609 V 193 3612 3394 4 v 244 3961 a(ities)39
14055 b(and)h(other)h(gaps)f(in)g(the)h(kno)m(wledge.\))67
14056 b(Changes)41 b(are)g(esp)s(ecially)e(drastic)h(for)g(c)m(harm)244
14057 4069 y(and)34 b(b)s(ottom.)48 b(In)35 b(the)f(b)s(ottom)f(sector)j(the)
14058 e(deca)m(y)i(prop)s(erties)f(are)f(no)m(w)h(giv)m(en)g(individually)244
14059 4177 y(for)k(B)469 4141 y Fl(0)509 4177 y Fw(,)i(B)646
14060 4141 y Fl(+)705 4177 y Fw(,)h(B)843 4141 y Fl(0)843 4202
14061 y(s)883 4177 y Fw(,)f(B)1020 4141 y Fl(+)1020 4202 y(c)1119
14062 4177 y Fw(and)f(\003)1384 4141 y Fl(0)1384 4202 y(b)1427
14063 4177 y Fw(,)i(i.e.)64 b(the)41 b(generic)e(data)h(for)f
14064 (`pseudoparticle')h(85)f(are)h(only)244 4286 y(used)34
14065 b(for)e(other)g(w)m(eakly)i(deca)m(ying)f(B)f(bary)m(ons.)145
14066 4403 y Fn(\017)49 b Fw(Also)40 b(a)g(few)i(other)e(Standard)h(Mo)s(del)
14067 f(parameters)h(ha)m(v)m(e)h(b)s(een)f(up)s(dated,)i(suc)m(h)g(as)d(the)
14068 h(Z)3740 4367 y Fl(0)244 4512 y Fw(and)33 b(W)535 4476
14069 y Fk(\006)627 4512 y Fw(masses)g(and)g(widths,)g(sin)1599
14070 4472 y Fl(2)1639 4512 y Fj(\022)1684 4527 y Fh(W)1797
14071 4512 y Fw(and)g(the)g(CKM)g(matrix)e(elemen)m(ts.)145
14072 4629 y Fn(\017)49 b Fw(F)-8 b(ragmen)m(tation)28 b(and)j(parton)f(sho)m
14073 (w)m(er)j(parameters)d(ha)m(v)m(e)i(b)s(een)g(mo)s(di\014ed)d(to)i
14074 (re\015ect)g(curren)m(t)244 4738 y(LEP)c(kno)m(wledge)g([LEP90],)h
14075 (i.e.)41 b(a)26 b(minor)e(retuning)i(starting)f(from)g(an)h(a)m(v)m
14076 (erage)h(of)f(the)h(`b)s(est')244 4846 y(parameter)41
14077 b(v)-5 b(alues)42 b(obtained)g(b)m(y)h(the)f(four)g(LEP)g(collab)s
14078 (orations.)69 b(Bose-Einstein)42 b(e\013ects)244 4955
14079 y(are)35 b(still)e(left)i(out.)51 b(Fla)m(v)m(our)35
14080 b(comp)s(osition)e(is)i(unc)m(hanged,)i(except)g(for)e(a)g(suppression)
14081 i(of)e Fj(\021)3757 4918 y Fk(0)244 5063 y Fw(pro)s(duction.)42
14082 b(A\013ected)31 b(b)m(y)h(the)e(c)m(hange)h(are)g Fq(MSTJ\(11\))p
14083 Fw(,)i Fq(PARJ\(21\))p Fw(,)f Fq(PARJ\(23\))p Fw(,)h
14084 Fq(PARJ\(24\))p Fw(,)244 5171 y Fq(PARJ\(41\))p Fw(,)i
14085 Fq(PARJ\(42\))p Fw(,)f Fq(PARJ\(54\))p Fw({)p Fq(PARJ\(58\))j
14086 Fw(and)c Fq(PARJ\(81\))p Fw(.)145 5289 y Fn(\017)49 b
14087 Fw(Sev)m(eral)34 b(other)h(default)e(v)-5 b(alues)34
14088 b(ha)m(v)m(e)i(b)s(een)f(c)m(hanged)g(for)f(switc)m(hes)h(and)g
14089 (parameters)f(in)f(the)244 5397 y(e)287 5361 y Fl(+)346
14090 5397 y Fw(e)389 5361 y Fk(\000)449 5397 y Fw(,)k(parton)f(sho)m(w)m(er)
14091 i(and)e(fragmen)m(tation)f(parts)h(of)g(the)h(programs.)54
14092 b(These)38 b(c)m(hanges)f(are)244 5506 y(in)m(tended)27
14093 b(to)f(re\015ect)h(our)g(curren)m(t)g(b)s(est)g(kno)m(wledge.)43
14094 b(See)27 b Fq(MSTJ\(26\))p Fw(,)j Fq(MSTJ\(27\))p Fw(,)f
14095 Fq(MSTJ\(41\))p Fw(,)244 5614 y Fq(MSTJ\(46\))p Fw(,)35
14096 b Fq(MSTJ\(50\))p Fw(,)f Fq(MSTJ\(110\))p Fw(,)h Fq(PARJ\(26\))p
14097 Fw(,)g(and)e Fq(PARJ\(121\))p Fw({)p Fq(PARJ\(125\))p
14098 Fw(.)1841 5953 y(22)p eop
14099 %%Page: 23 29
14100 23 28 bop 118 34 a Fw(T)-8 b(able)39 b(2:)56 b(The)40
14101 b(main)e(v)m(ersions)i(of)46 b Fm(Pythia)p Fw(,)41 b(with)d(their)h
14102 (date)g(of)g(app)s(earance,)i(published)118 142 y(man)m(uals,)32
14103 b(and)g(main)f(c)m(hanges)j(from)e(previous)h(v)m(ersions.)p
14104 105 308 3569 4 v 103 452 4 145 v 155 396 a(No.)p 352
14105 452 V 156 w(Date)p 769 452 V 225 w(Publ.)p 1236 452 V
14106 168 w(Main)f(new)i(or)e(impro)m(v)m(ed)g(features)p 3671
14107 452 V 105 455 3569 4 v 103 575 4 121 v 205 543 a(1)p
14108 352 575 V 163 w(Dec)h(82)p 769 575 V 136 w([Ben84])p
14109 1236 575 V 124 w(syn)m(thesis)i(of)d(predecessors)j Fm(Compton)p
14110 Fw(,)f Fm(Highpt)e Fw(and)p 3671 575 V 103 696 V 352
14111 696 V 769 696 V 1236 696 V 1287 663 a Fm(Kassandra)p
14112 3671 696 V 103 816 V 205 784 a Fw(2)p 352 816 V 260 w(|)p
14113 769 816 V 1236 816 V 3671 816 V 103 937 V 167 904 a(3.1)p
14114 352 937 V 222 w(|)p 769 937 V 1236 937 V 3671 937 V 103
14115 1057 V 167 1024 a(3.2)p 352 1057 V 222 w(|)p 769 1057
14116 V 1236 1057 V 3671 1057 V 103 1177 V 167 1145 a(3.3)p
14117 352 1177 V 129 w(F)-8 b(eb)32 b(84)p 769 1177 V 117 w([Ben84a])p
14118 1236 1177 V 99 w(scale-breaking)g(parton)h(distributions)p
14119 3671 1177 V 103 1298 V 167 1265 a(3.4)p 352 1298 V 130
14120 w(Sep)g(84)p 769 1298 V 141 w([Ben85])p 1236 1298 V 124
14121 w(more)f(e\016cien)m(t)i(kinematics)d(selection)p 3671
14122 1298 V 103 1418 V 167 1386 a(4.1)p 352 1418 V 125 w(Dec)i(84)p
14123 769 1418 V 1236 1418 V 578 w(initial-)c(and)j(\014nal-state)g(parton)g
14124 (sho)m(w)m(ers,)j(W)f(and)f(Z)p 3671 1418 V 103 1538
14125 V 167 1506 a(4.2)p 352 1538 V 126 w(Jun)g(85)p 769 1538
14126 V 1236 1538 V 580 w(m)m(ultiple)d(in)m(teractions)p 3671
14127 1538 V 103 1659 V 167 1626 a(4.3)p 352 1659 V 117 w(Aug)j(85)p
14128 769 1659 V 1236 1659 V 571 w(WW)q(,)h(WZ,)e(ZZ)g(and)h(R)f(pro)s
14129 (cesses)p 3671 1659 V 103 1779 V 167 1747 a(4.4)p 352
14130 1779 V 120 w(No)m(v)h(85)p 769 1779 V 1236 1779 V 574
14131 w Fj(\015)5 b Fw(W)q(,)34 b Fj(\015)5 b Fw(Z,)32 b Fj(\015)5
14132 b(\015)37 b Fw(pro)s(cesses)p 3671 1779 V 103 1900 V
14133 167 1867 a(4.5)p 352 1900 V 129 w(Jan)32 b(86)p 769 1900
14134 V 1236 1900 V 583 w(H)1360 1831 y Fl(0)1432 1867 y Fw(pro)s(duction,)g
14135 (di\013ractiv)m(e)g(and)h(elastic)f(ev)m(en)m(ts)p 3671
14136 1900 V 103 2020 V 167 1987 a(4.6)p 352 2020 V 112 w(Ma)m(y)h(86)p
14137 769 2020 V 1236 2020 V 566 w(angular)f(correlation)e(in)i(resonance)i
14138 (pair)e(deca)m(ys)p 3671 2020 V 103 2140 V 167 2108 a(4.7)p
14139 352 2140 V 112 w(Ma)m(y)h(86)p 769 2140 V 1236 2140 V
14140 566 w(Z)1347 2072 y Fk(0)p Fl(0)1438 2108 y Fw(and)g(H)1701
14141 2072 y Fl(+)1792 2108 y Fw(pro)s(cesses)p 3671 2140 V
14142 103 2261 V 167 2228 a(4.8)p 352 2261 V 129 w(Jan)f(87)p
14143 769 2261 V 141 w([Ben87])p 1236 2261 V 124 w(v)-5 b(ariable)31
14144 b(impact)g(parameter)h(in)g(m)m(ultiple)e(in)m(teractions)p
14145 3671 2261 V 103 2381 V 167 2349 a(4.9)p 352 2381 V 112
14146 w(Ma)m(y)j(87)p 769 2381 V 1236 2381 V 566 w(gH)1409
14147 2312 y Fl(+)1501 2349 y Fw(pro)s(cess)p 3671 2381 V 103
14148 2501 V 167 2469 a(5.1)p 352 2501 V 112 w(Ma)m(y)g(87)p
14149 769 2501 V 1236 2501 V 566 w(massiv)m(e)g(matrix)e(elemen)m(ts)i(for)f
14150 (hea)m(vy)i(quarks)p 3671 2501 V 103 2622 V 167 2589
14151 a(5.2)p 352 2622 V 126 w(Jun)f(87)p 769 2622 V 1236 2622
14152 V 580 w(in)m(termediate)f(b)s(oson)g(scattering)p 3671
14153 2622 V 103 2742 V 167 2710 a(5.3)p 352 2742 V 127 w(Oct)g(89)p
14154 769 2742 V 1236 2742 V 581 w(new)i(particle)d(and)i(subpro)s(cess)h(co)
14155 s(des,)g(new)f(common)f(blo)s(c)m(k)p 3671 2742 V 103
14156 2863 V 352 2863 V 769 2863 V 1236 2863 V 1287 2830 a(structure,)i(new)g
14157 (kinematics)d(selection,)i(some)p 3671 2863 V 103 2983
14158 V 352 2983 V 769 2983 V 1236 2983 V 1287 2950 a(lepton{lepton)f(and)g
14159 (lepton{hadron)g(in)m(teractions,)p 3671 2983 V 103 3103
14160 V 352 3103 V 769 3103 V 1236 3103 V 1287 3071 a(new)i(subpro)s(cesses)p
14161 3671 3103 V 103 3224 V 167 3191 a(5.4)p 352 3224 V 126
14162 w(Jun)f(90)p 769 3224 V 1236 3224 V 580 w Fj(s)p Fw(-dep)s(enden)m(t)h
14163 (widths,)f(resonances)i(not)d(on)h(the)g(mass)f(shell,)p
14164 3671 3224 V 103 3344 V 352 3344 V 769 3344 V 1236 3344
14165 V 1287 3312 a(new)i(pro)s(cesses,)h(new)e(parton)f(distributions)p
14166 3671 3344 V 103 3465 V 167 3432 a(5.5)p 352 3465 V 129
14167 w(Jan)g(91)p 769 3465 V 1236 3465 V 583 w(impro)m(v)m(ed)h(e)1756
14168 3396 y Fl(+)1815 3432 y Fw(e)1858 3396 y Fk(\000)1950
14169 3432 y Fw(and)g(ep,)g(sev)m(eral)g(new)h(pro)s(cesses)p
14170 3671 3465 V 103 3585 V 167 3552 a(5.6)p 352 3585 V 130
14171 w(Sep)f(91)p 769 3585 V 131 w([Sj\177)-49 b(o92d)o(])p
14172 1236 3585 V 114 w(reorganized)33 b(parton)f(distributions,)f(new)j(pro)
14173 s(cesses,)p 3671 3585 V 103 3705 V 352 3705 V 769 3705
14174 V 1236 3705 V 1287 3673 a(user-de\014ned)h(external)d(pro)s(cesses)p
14175 3671 3705 V 103 3849 4 145 v 167 3793 a(5.7)p 352 3849
14176 V 125 w(Dec)h(93)p 769 3849 V 153 w([Sj\177)-49 b(o94)o(])p
14177 1236 3849 V 141 w(new)34 b(total)d(cross)i(sections,)h(photopro)s
14178 (duction,)e(top)g(deca)m(y)p 3671 3849 V 105 3853 3569
14179 4 v 145 4201 a Fn(\017)49 b Fw(A)28 b(common)e(title)g(page)h(for)g
14180 Fm(Jetset)g Fw(and)h Fm(Pythia)g Fw(has)g(b)s(een)g(in)m(tro)s(duced)g
14181 (with)f(the)h Fq(LULOGO)244 4310 y Fw(routine.)43 b(Sub-sub)m(v)m
14182 (ersion)34 b(n)m(um)m(b)s(ers)g(are)e(also)g(giv)m(en.)145
14183 4427 y Fn(\017)49 b Fw(Sev)m(eral)c(options)e(ha)m(v)m(e)j(b)s(een)f
14184 (added)g(for)f(the)h Fq(LUSHOW)h Fw(sho)m(w)m(er)g(routine.)78
14185 b(See)45 b Fq(MSTJ\(41\))p Fw(,)244 4536 y Fq(MSTJ\(47\))35
14186 b Fw(and)d Fq(MSTJ\(50\))p Fw(.)145 4654 y Fn(\017)49
14187 b Fw(A)31 b(b)g(quark)g(pro)s(duced)h(in)e(the)h(deca)m(y)i(of)d(a)g
14188 (top)h(hadron)g(is)f(allo)m(w)m(ed)g(to)h(radiate)f(according)g(to)244
14189 4762 y(the)j(standard)g(parton)f(sho)m(w)m(er)i(sc)m(heme.)145
14190 4880 y Fn(\017)49 b Fw(The)39 b(scalar)e(gluon)g(option)f(con)m(tains)i
14191 (the)g(full)e(electro)m(w)m(eak)j(angular)e(distribution)f(of)h(3-jet)
14192 244 4988 y(ev)m(en)m(ts.)145 5106 y Fn(\017)49 b Fw(The)37
14193 b Fq(LUCOMP)g Fw(routine)e(has)h(b)s(een)g(mo)s(di\014ed.)52
14194 b(Among)35 b(other)h(things,)g(the)g(B)3150 5070 y Fl(+)3150
14195 5130 y(c)3245 5106 y Fw(no)m(w)g(app)s(ears)244 5214
14196 y(as)c(a)g(separate)h(compressed)h(co)s(de,)e(further)h(co)s(des)g(for)
14197 f(di\013ractiv)m(e)f(states)i(ha)m(v)m(e)h(b)s(een)f(added)244
14198 5323 y(to)d(the)g(curren)m(t)h(list,)e(and)h(the)h(p)s(omeron)e
14199 (\(reggeon,)i Fj(\021)2273 5338 y Fl(tec)n(hni)2463 5323
14200 y Fw(\))f(has)h(b)s(een)f(added)h(as)f(particle)f(29)244
14201 5431 y(\(28,)j(38\).)145 5549 y Fn(\017)49 b Fw(A)25
14202 b(minim)m(um)c(threshold)k(for)f(calorimeter)e(cell)i(energy)h(has)h(b)
14203 s(een)f(in)m(tro)s(duced)g(for)f(the)h Fq(LUCELL)244
14204 5657 y Fw(routine.)1841 5953 y(23)p eop
14205 %%Page: 24 30
14206 24 29 bop 145 -18 a Fn(\017)49 b Fw(All)42 b(obsolescen)m(t)j(features)
14207 f(of)f(the)i(F)-8 b(ortran)42 b(90)i(standard)g(ha)m(v)m(e)h(b)s(een)f
14208 (remo)m(v)m(ed,)k(i.e.)76 b(the)244 90 y(program)36 b(should)h(w)m(ork)
14209 h(w)m(ell)f(either)g(with)g(a)g(F)-8 b(ortran)36 b(77)h(compiler)f(or)h
14210 (with)g(a)g(F)-8 b(ortran)36 b(90)244 198 y(one.)145
14211 316 y Fn(\017)49 b Fw(A)33 b(few)g(minor)d(errors)j(ha)m(v)m(e)h(b)s
14212 (een)g(corrected.)146 429 y(The)46 b(follo)m(wing)c(c)m(hanges)j(ha)m
14213 (v)m(e)h(b)s(een)g(made)e(since)h(the)g(b)s(eginning)e(of)h(1994,)i
14214 (i.e.)79 b(since)45 b(the)0 537 y(original)29 b(distribution)i(7.400:)
14215 119 650 y(1.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.401,)f(11)g(F)-8
14216 b(ebruary)33 b(1994:)360 768 y Fn(\017)48 b Fw(Protect)34
14217 b(against)d(o)m(v)m(er\015o)m(w)k(in)c Fq(LUZDIS)j Fw(\(needed)h(on)d
14218 (some)g(mac)m(hines\).)119 886 y(2.)49 b Fm(Jetset)31
14219 b Fw(v)m(ersion)i(7.402,)f(7)h(April)e(1994:)360 1004
14220 y Fn(\017)48 b Fw(New)33 b(option)d(to)g(suppress)k(either)d(hard)g(or)
14221 g(soft)g(radiation)e(in)h Fq(LUSHOW)p Fw(,)j(see)f Fq(MSTJ\(40\))p
14222 Fw(.)360 1122 y Fn(\017)48 b Fw(A)d(generic)e(in)m(terface)h(to)g(an)g
14223 (external)g Fj(\034)55 b Fw(deca)m(y)46 b(library)c(has)j(b)s(een)f(in)
14224 m(tro)s(duced,)j(see)458 1230 y Fq(MSTJ\(28\))35 b Fw(and)e
14225 Fq(SUBROUTINE)54 b(LUTAUD)p Fw(.)360 1348 y Fn(\017)48
14226 b Fw(In)28 b(a)e(few)h(places,)i(a)d(dot)h(has)g(b)s(een)h(mo)m(v)m(ed)
14227 f(from)f(the)h(end)g(of)g(one)g(line)e(to)i(the)g(b)s(eginning)458
14228 1456 y(of)i(the)g(next)h(con)m(tin)m(uation)e(line,)g(or)g(the)i(other)
14229 e(w)m(a)m(y)j(around,)e(to)g(k)m(eep)h(together)f(tok)m(ens)458
14230 1564 y(suc)m(h)35 b(as)d Fq(.EQ.)i Fw(or)e Fq(.AND.)p
14231 Fw(,)i(since)f(some)f(debuggers)i(ma)m(y)f(otherwise)g(complain.)360
14232 1682 y Fn(\017)48 b Fw(A)33 b(source)h(of)e(\(harmless\))g(division)f
14233 (b)m(y)i(zero)g(in)f Fq(LUSHOW)i Fw(has)f(b)s(een)g(remo)m(v)m(ed.)119
14234 1800 y(3.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.403,)f(15)g(July)h
14235 (1994:)360 1918 y Fn(\017)48 b Fw(Leptons)k(and)f(photons)g(whic)m(h)g
14236 (are)g(unrelated)g(to)f(the)h(system)h(feeling)d(the)i(Bose-)458
14237 2026 y(Einstein)31 b(e\013ects)h(do)f(not)g(ha)m(v)m(e)h(their)e
14238 (energies)i(and)f(momen)m(ta)e(c)m(hanged)j(in)f(the)g(global)458
14239 2135 y(rescaling)i(step)h(of)40 b Fq(LUBOEI)p Fw(.)35
14240 b(\(Example:)44 b(W)2138 2098 y Fl(+)2198 2135 y Fw(W)2299
14241 2098 y Fk(\000)2391 2135 y Fw(ev)m(en)m(ts,)36 b(where)f(one)e(W)i
14242 (deca)m(ys)g(lep-)458 2243 y(tonically;)51 b(b)s(efore)45
14243 b(these)i(lepton)f(momen)m(ta)e(could)i(b)s(e)f(sligh)m(tly)g(c)m
14244 (hanged,)50 b(but)c(no)m(w)458 2351 y(not.\))d(F)-8 b(urther,)32
14245 b(the)g Fq(LUBOEI)i Fw(routine)d(has)h(b)s(een)g(c)m(hanged)h(to)e(a)m
14246 (v)m(oid)g(an)h(unin)m(ten)m(tional)458 2460 y(gap)h(in)f(the)h(limits)
14247 c(of)j(the)h(v)m(ery)h(\014rst)f(bin.)360 2577 y Fn(\017)48
14248 b Fw(The)43 b(option)d Fq(LUEDIT\(16\))k Fw(\(used)e(e.g.)70
14249 b(from)40 b Fq(PYEVNT)p Fw(\))i(has)g(b)s(een)g(impro)m(v)m(ed)f(with)g
14250 (a)458 2686 y(more)32 b(extensiv)m(e)j(searc)m(h)f(for)e(missing)f
14251 (daugh)m(ter)i(p)s(oin)m(ters.)360 2803 y Fn(\017)48
14252 b Fw(The)37 b Fq(KLU\(I,16\))i Fw(pro)s(cedure)e(for)e(\014nding)h
14253 (rank)g(has)g(b)s(een)h(rewritten)f(to)g(w)m(ork)h(in)e(the)458
14254 2912 y(curren)m(t)42 b Fm(Jetset)d Fw(v)m(ersion,)44
14255 b(whic)m(h)d(it)e(did)h(not)g(b)s(efore.)68 b(Ho)m(w)m(ev)m(er,)44
14256 b(note)d(that)f(it)g(will)458 3020 y(only)d(w)m(ork)i(for)e
14257 Fq(MSTU\(16\)=2)p Fw(.)60 b(As)38 b(a)g(general)f(commen)m(t,)h(the)g
14258 (options)f(14{17)f(of)44 b Fq(KLU)458 3129 y Fw(w)m(ere)e(written)e(at)
14259 h(a)f(time)f(when)i(p)s(ossible)f(ev)m(en)m(t)i(histories)e(w)m(ere)i
14260 (less)e(complex,)i(and)458 3237 y(can)33 b(not)g(b)s(e)g(guaran)m(teed)
14261 g(alw)m(a)m(ys)g(to)f(w)m(ork)i(to)s(da)m(y)-8 b(.)119
14262 3355 y(4.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.404,)f(25)g(August)i
14263 (1994:)360 3472 y Fn(\017)48 b Fq(LUSHOW)g Fw(has)e(b)s(een)g
14264 (corrected,)51 b(so)46 b(that)f(if)g(t,)k(l)c(or)g(h)h(quarks)h(\(or)e
14265 (d)3140 3436 y Fk(\003)3225 3472 y Fw(or)h(u)3412 3436
14266 y Fk(\003)3497 3472 y Fw(quarks)458 3581 y(mask)m(ed)33
14267 b(as)g(l)e(or)h(h)g(ones\))h(are)f(giv)m(en)g(with)g(masses)h(that)f(v)
14268 -5 b(ary)32 b(from)f(ev)m(en)m(t)j(to)e(ev)m(en)m(t)i(\(a)458
14269 3689 y(Breit-Wigner)k(shap)s(e,)j(e.g.\),)f(the)f(curren)m(t)h(mass)f
14270 (rather)f(than)h(the)g(nominal)d(mass)j(is)458 3797 y(used)34
14271 b(to)e(de\014ne)i(the)f(cut-o\013)f(scales)i(of)e(parton)g(sho)m(w)m
14272 (er)i(ev)m(olution.)360 3915 y Fn(\017)48 b Fq(LULOGO)40
14273 b Fw(has)f(b)s(een)g(mo)s(di\014ed)e(to)h(tak)m(e)h(in)m(to)f(accoun)m
14274 (t)h(that)f(a)g(new)i Fm(Pythia/Jetset)458 4024 y Fw(description)33
14275 b(has)g(b)s(een)g(published)f(in)458 4132 y(T.)i(Sj\177)-49
14276 b(ostrand,)32 b(Computer)h(Ph)m(ys.)45 b(Comm)m(un.)e
14277 Fo(82)33 b Fw(\(1994\))e(74)458 4240 y(and)i(is)f(from)g(no)m(w)h(on)f
14278 (the)h(standard)g(reference)h(to)f(these)h(t)m(w)m(o)f(programs.)119
14279 4358 y(5.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.405,)f(27)g(Jan)m(uary)
14280 i(1995:)360 4476 y Fn(\017)48 b Fq(LUCELL)27 b Fw(has)e(b)s(een)g
14281 (corrected,)j(in)c(that)g(in)g(the)h(option)f(with)g(smearing)f(of)i
14282 (energy)g(rather)458 4584 y(than)37 b(transv)m(erse)h(energy)-8
14283 b(,)38 b(the)f(con)m(v)m(ersion)g(factor)f(b)s(et)m(w)m(een)i(the)e(t)m
14284 (w)m(o)h(w)m(as)g(applied)e(in)458 4693 y(the)e(wrong)g(direction.)360
14285 4810 y Fn(\017)48 b Fq(LUSHOW)33 b Fw(has)d(b)s(een)i(corrected)f(in)f
14286 (one)h(place)f(where)i(the)f(PMTH)g(arra)m(y)g(w)m(as)h(addressed)458
14287 4919 y(with)38 b(the)g(wrong)g(order)g(of)f(the)h(indices.)59
14288 b(This)38 b(a\013ected)g(quark)h(mass)e(corrections)h(in)458
14289 5027 y(the)33 b(matc)m(hing)f(to)g(the)h(three-jet)g(matrix)e(elemen)m
14290 (ts.)360 5145 y Fn(\017)48 b Fw(An)38 b(additional)d(c)m(hec)m(k)40
14291 b(has)e(b)s(een)h(included)e(in)g Fq(LUBOEI)i Fw(that)f(there)g(are)g
14292 (at)f(least)h(t)m(w)m(o)458 5253 y(particles)k(in)m(v)m(olv)m(ed)h(in)e
14293 (the)i(Bose-Einstein)f(e\013ects.)73 b(\(No)42 b(problem)f(except)j(in)
14294 e(some)458 5362 y(bizarre)33 b(situations.\))119 5479
14295 y(6.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.406,)f(20)g(F)-8
14296 b(ebruary)33 b(1995:)360 5597 y Fn(\017)48 b Fw(A)c(new)h(option)e(has)
14297 h(b)s(een)g(added)h(for)e(the)h(b)s(eha)m(viour)g(of)f(the)h(running)g
14298 Fj(\013)3368 5612 y Fl(em)3462 5597 y Fw(\()p Fj(Q)3577
14299 5561 y Fl(2)3617 5597 y Fw(\))f(in)1841 5953 y(24)p eop
14300 %%Page: 25 31
14301 25 30 bop 458 -18 a Fq(ULALEM)p Fw(.)25 b(This)e(is)f(not)h(added)h(as)
14302 f(a)f(true)h(ph)m(ysics)i(scenario,)g(but)e(only)f(to)h(pro)s(duce)g
14303 (results)458 90 y(with)g(a)h(giv)m(en,)h(\014xed)g(v)-5
14304 b(alue)22 b(for)h(the)h(hard)f(ev)m(en)m(ts,)28 b(while)23
14305 b(still)e(k)m(eeping)j(the)f(con)m(v)m(en)m(tional)458
14306 198 y(v)-5 b(alue)34 b(in)g(the)h Fj(Q)1075 162 y Fl(2)1145
14307 198 y Fw(=)c(0)j(limit.)45 b(See)36 b Fq(MSTU\(101\))p
14308 Fw(,)h Fq(PARU\(103\))p Fw(,)g Fq(PARU\(104\))p Fw(.)51
14309 b(Addition-)458 307 y(ally)-8 b(,)31 b(the)i Fj(G)909
14310 322 y Fl(F)992 307 y Fw(constan)m(t)h(has)e(b)s(een)i(added)f(to)f(the)
14311 h(parameter)f(list,)g(see)h Fq(PARU\(105\))p Fw(.)360
14312 424 y Fn(\017)48 b Fw(The)34 b(LULOGO)e(routine)g(has)h(b)s(een)g(up)s
14313 (dated)g(to)f(re\015ect)i(m)m(y)f(c)m(hange)g(of)f(a\016liation.)119
14314 542 y(7.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.407,)f(21)g(June)i
14315 (1995:)360 660 y Fn(\017)48 b Fw(Header)f(and)f Fq(LULOGO)h
14316 Fw(ha)m(v)m(e)h(b)s(een)e(up)s(dated)h(with)e(resp)s(ect)i(to)f(phone)g
14317 (n)m(um)m(b)s(er)g(and)458 768 y(WWW)34 b(access.)360
14318 886 y Fn(\017)48 b Fw(The)30 b Fq(PHEP)g Fw(and)f Fq(VHEP)h
14319 Fw(v)-5 b(ariables)27 b(in)h(the)i Fq(/HEPEVT/)g Fw(common)e(blo)s(c)m
14320 (k)g(are)h(no)m(w)h(assumed)458 994 y(to)45 b(b)s(e)h(in)e
14321 Fq(DOUBLE)53 b(PRECISION)p Fw(,)47 b(in)e(accord)g(with)g(the)h(prop)s
14322 (osed)f(LEP)h(2)f(w)m(orkshop)458 1103 y(addendum)33
14323 b(to)g(the)g(standard.)360 1221 y Fn(\017)48 b Fw(In)33
14324 b Fq(LUTEST)h Fw(a)f(missing)e(decimal)f(p)s(oin)m(t)i(on)h(the)g
14325 (energy)g(c)m(hec)m(k)i(has)e(b)s(een)g(reinstated.)360
14326 1338 y Fn(\017)48 b Fw(In)33 b Fq(LUINDF)h Fw(an)f(expression)h(has)f
14327 (b)s(een)g(protected)h(against)d(v)-5 b(anishing)32 b(denominator.)119
14328 1456 y(8.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.408,)f(23)g(August)i
14329 (1995:)360 1574 y Fn(\017)48 b Fw(Chec)m(k)35 b(against)d(division)f(b)
14330 m(y)i(zero)g(in)f Fq(LUSHOW)p Fw(.)119 1692 y(9.)49 b
14331 Fm(Jetset)31 b Fw(v)m(ersion)i(7.409,)f(21)g(Marc)m(h)i(1996:)360
14332 1809 y Fn(\017)48 b Fw(Default)31 b(v)-5 b(alue)30 b(of)h(MSTJ\(50\))h
14333 (c)m(hanged)h(from)d(0)h(to)h(3;)f(this)g(ough)m(t)h(to)f(ha)m(v)m(e)i
14334 (b)s(een)f(done)458 1918 y(already)37 b(in)e(v)m(ersion)j(00)e(but)h
14335 (seems)g(to)f(ha)m(v)m(e)i(b)s(een)g(forgotten.)55 b(It)36
14336 b(a\013ects)i(wide-angle)458 2026 y(QCD)33 b(radiation)d(in)i(hadron)h
14337 (collisions.)70 2144 y(10.)49 b Fm(Jetset)31 b Fw(v)m(ersion)i(7.410,)f
14338 (20)g(Jan)m(uary)i(1997:)360 2262 y Fn(\017)48 b Fw(Correction)30
14339 b(for)f(bug)g(in)g Fq(LUZDIS)p Fw(;)i(in)d(principle)g(sev)m(ere)k(but)
14340 e(for)f(a)g(com)m(bination)e(that)i(in)458 2370 y(practice)k(is)f(not)h
14341 (encoun)m(tered.)360 2488 y Fn(\017)48 b Fw(The)34 b(Durham)d(distance)
14342 i(measure)g(no)m(w)g(a)m(v)-5 b(ailable)30 b(in)i Fq(LUCLUS)p
14343 Fw(.)360 2606 y Fn(\017)48 b Fw(A)33 b(photon)g(from)e(initial-state)e
14344 (radiation)h(is)i(not)h(included)f(in)g(the)h Fq(LUBOEI)h
14345 Fw(rescaling.)360 2723 y Fn(\017)48 b Fw(Some)33 b(mo)s(di\014cations)d
14346 (to)i(b)s(etter)h(handle)g(junctions.)0 2971 y Fo(3.1.2)112
14347 b(Up)s(dates)39 b(in)e(PYTHIA)e(5.7)0 3144 y Fw(The)g(up)s(dates)g
14348 (from)d(v)m(ersion)j(5.6)e(to)h(5.7)f(are)h(all)e(minor,)h(and)h(just)g
14349 (ab)s(out)g(an)m(y)g(program)f(that)h(ran)0 3252 y(with)i(v)m(ersion)h
14350 (5.6)f(will)e(also)i(w)m(ork)h(with)f Fm(Pythia)h Fw(5.7.)55
14351 b(Ho)m(w)m(ev)m(er,)39 b(as)e(for)f Fm(Jetset)p Fw(,)g(it)g(should)g(b)
14352 s(e)0 3361 y(noted)d(that)f(some)h(imp)s(ortan)m(t)d(default)i(v)-5
14353 b(alues)33 b(ha)m(v)m(e)h(b)s(een)f(c)m(hanged.)145 3474
14354 y Fn(\017)49 b Fw(New)d(parametrizations)e(of)h(the)h(total)e(cross)j
14355 (sections)f(of)g(hadronic)f(reactions,)k(based)d(in)244
14356 3582 y(Donnac)m(hie{Landsho\013)32 b([Don92)o(],)h(whic)m(h)g(replace)g
14357 (the)g(old)e(ones.)145 3700 y Fn(\017)49 b Fw(New)38
14358 b(parametrizations)d(of)i(elastic)g(and)g(single)f(and)i(double)f
14359 (di\013ractiv)m(e)g(cross)h(sections)g(of)244 3808 y(hadronic)d
14360 (reactions,)i(based)g(on)f(Sc)m(h)m(uler{Sj\177)-49 b(ostrand)37
14361 b([Sc)m(h94)q(,)f(Sc)m(h93a],)h(whic)m(h)g(replace)f(the)244
14362 3916 y(old)j(ones.)68 b(Also)40 b(the)h(slop)s(e)f(parameters,)i(the)f
14363 (di\013ractiv)m(e)f(mass)g(distributions)f(and)h(other)244
14364 4025 y(asp)s(ects)34 b(of)e(the)h(ev)m(en)m(t)h(generation)e(ha)m(v)m
14365 (e)i(b)s(een)f(c)m(hanged)h(accordingly)-8 b(.)145 4143
14366 y Fn(\017)49 b Fw(A)33 b(p)s(ossibilit)m(y)d(to)i(giv)m(e)h(o)m(wn)g
14367 (total,)e(elastic)h(and)g(di\013ractiv)m(e)g(cross)i(sections.)145
14368 4260 y Fn(\017)49 b Fw(The)37 b(single)e(di\013ractiv)m(e)g(cross)i
14369 (section)f(has)h(b)s(een)g(split)d(in)m(to)i(its)f(t)m(w)m(o)i
14370 (constituen)m(ts,)h Fj(AB)h Fn(!)244 4369 y Fj(X)8 b(B)33
14371 b Fw(and)c Fj(AB)k Fn(!)27 b Fj(AX)8 b Fw(.)42 b(As)29
14372 b(a)f(consequence,)k(the)d(di\013ractiv)m(e)f(subpro)s(cess)j(co)s(des)
14373 e(92{94)e(ha)m(v)m(e)244 4477 y(receiv)m(ed)34 b(c)m(hanged)f(meaning.)
14374 145 4595 y Fn(\017)49 b Fw(A)35 b(new)h(common)d(blo)s(c)m(k)i
14375 Fq(PYINT7)i Fw(has)e(b)s(een)h(added)f(for)g(the)g(expanded)i(total)c
14376 (cross)j(section)244 4703 y(information,)47 b(and)g(this)g(information)
14377 d(has)j(b)s(een)h(partly)e(remo)m(v)m(ed)i(from)e(other)h(common)244
14378 4812 y(blo)s(c)m(ks.)145 4929 y Fn(\017)i Fw(A)42 b(m)m(uc)m(h)h
14379 (extended)h(description)e(of)g(photopro)s(duction)g(ph)m(ysics,)k(with)
14380 c(the)h(p)s(ossibilit)m(y)d(to)244 5038 y(sim)m(ulate)31
14381 b(separately)i(VMD,)f(anomalous)f(and)i(direct)f(pro)s(cesses)j([Sc)m
14382 (h93)q(,)d(Sc)m(h93a)q(].)145 5156 y Fn(\017)49 b Fw(The)35
14383 b(selection)e(of)h(proton)f(parton)h(distributions)f(that)g(come)h
14384 (with)f(the)i(program)d(has)j(b)s(een)244 5264 y(up)s(dated)30
14385 b(with)f(the)h(CTEQ2)h(ones,)g(while)d(some)i(others)g(ha)m(v)m(e)h(b)s
14386 (een)f(remo)m(v)m(ed.)44 b(New)30 b(default)244 5372
14387 y(is)i(the)h(leading-order)e(\014t)h(CTEQ2L.)145 5490
14388 y Fn(\017)49 b Fw(Since)25 b(the)h Fm(Pdflib)f Fw(library)f(no)m(w)i
14389 (has)f(b)s(een)h(expanded)h(to)e(con)m(tain)g(also)f
14390 (parton-distribution)244 5598 y(functions)32 b(for)g(the)h(photon,)g
14391 (the)g(in)m(terfaces)g(to)f(the)h Fm(P)-9 b(akpdf)33
14392 b Fw(and)g Fm(Phopdf)g Fw(libraries)d(ha)m(v)m(e)1841
14393 5953 y(25)p eop
14394 %%Page: 26 32
14395 26 31 bop 244 -18 a Fw(b)s(een)34 b(remo)m(v)m(ed.)47
14396 b(In)34 b(addition,)e(the)i(in)m(terface)g(to)f Fm(Pdflib)h
14397 Fw(has)f(b)s(een)i(mo)s(di\014ed,)d(and)i(is)f(no)m(w)244
14398 90 y(for)f(appropriate)g(for)g Fm(Pdflib)h Fw(v)m(ersion)g(4.)145
14399 208 y Fn(\017)49 b Fw(An)j(extension)h(of)e(hadron)h(parton)g
14400 (distributions)f(in)m(to)g(the)h(lo)m(w-)p Fj(x)g Fw(and)g(lo)m(w-)p
14401 Fj(Q)3429 171 y Fl(2)3519 208 y Fw(region)244 316 y([Sc)m(h93a].)145
14402 434 y Fn(\017)d Fw(The)41 b(top)g(quark)g(can)g(b)s(e)f(made)g(to)h
14403 (deca)m(y)h(b)s(efore)e(it)g(has)g(time)g(to)g(fragmen)m(t.)66
14404 b(In)41 b(view)g(of)244 542 y(the)d(curren)m(t)h(b)s(est)f(estimate)f
14405 (for)g(the)h(top)g(mass,)h(this)e(is)g(the)i(exp)s(ected)g(b)s(eha)m
14406 (viour,)g(and)f(is)244 650 y(therefore)45 b(no)m(w)g(default.)79
14407 b(F)-8 b(urther,)47 b(a)d(parton)g(sho)m(w)m(er)j(is)d(allo)m(w)m(ed)f
14408 (to)h(ev)m(olv)m(e)i(in)e(the)h(top)244 759 y(deca)m(y)-8
14409 b(.)70 b(Also)40 b(fourth)h(generation)f(quarks)j(are)e(allo)m(w)m(ed)f
14410 (to)h(deca)m(y)h(b)s(efore)f(they)h(fragmen)m(t,)244
14411 867 y(and)33 b(so)f(on.)145 985 y Fn(\017)49 b Fw(It)42
14412 b(is)f(p)s(ossible)g(to)h(call)e Fq(PYEVNT)k Fw(with)d(energies)h(that)
14413 g(v)-5 b(ary)42 b(from)f(one)h(ev)m(en)m(t)i(to)d(the)h(next,)244
14414 1093 y(without)32 b(the)h(need)h(to)e(reinitialize.)145
14415 1211 y Fn(\017)49 b Fw(Impro)m(v)m(ed)32 b(sc)m(heme)h(for)d(p)s
14416 (ost-factor)h(conserv)-5 b(ation)31 b(of)g Fj(x)g Fw(and)h
14417 Fj(Q)2671 1175 y Fl(2)2742 1211 y Fw(in)e(deep)j(inelastic)c(scatter-)
14418 244 1319 y(ing.)145 1437 y Fn(\017)49 b Fw(Pro)s(cesses)34
14419 b(15,)d(19,)g(30)g(and)h(35)f(ha)m(v)m(e)h(b)s(een)h(expanded)g(to)e
14420 (co)m(v)m(er)i Fj(\015)2749 1401 y Fk(\003)2820 1437
14421 y Fw(pro)s(duction)e(in)f(addition)244 1546 y(to)i(the)h(Z)591
14422 1509 y Fl(0)663 1546 y Fw(one,)g(with)f(full)f(in)m(terference.)145
14423 1663 y Fn(\017)49 b Fw(New)33 b(pro)s(cess)h(80,)e(q)p
14424 Fj(\015)h Fn(!)28 b Fw(q)1274 1627 y Fk(0)1298 1663 y
14425 Fj(\031)1357 1627 y Fk(\006)1415 1663 y Fw(.)145 1781
14426 y Fn(\017)49 b Fw(New)33 b(pro)s(cess)h(110,)e(f)p 1046
14427 1702 37 4 v 7 w(f)i Fn(!)28 b Fj(\015)5 b Fw(H)1367 1745
14428 y Fl(0)1406 1781 y Fw(.)145 1899 y Fn(\017)49 b Fw(New)33
14429 b(pro)s(cess)h(149,)e(gg)d Fn(!)e Fj(\021)1311 1914 y
14430 Fl(tec)n(hni)1501 1899 y Fw(.)145 2017 y Fn(\017)49 b
14431 Fw(New)32 b(option)e(for)g(initial)e(state)j(radiation)e(to)i(restrict)
14432 g(angular)f(range)h(of)g(emission)e(in)i(accor-)244 2125
14433 y(dance)i(with)f(coherence)j(considerations.)145 2243
14434 y Fn(\017)49 b Fw(Some)34 b(options)g(ha)m(v)m(e)h(b)s(een)h(added)f
14435 (or)f(remo)m(v)m(ed,)i(and)e(default)g(v)-5 b(alues)34
14436 b(ha)m(v)m(e)i(b)s(een)f(c)m(hanged.)244 2351 y(This)40
14437 b(includes)h Fq(KFIN)g Fw(\(top)g(parton)f(distributions)f(o\013)h(b)m
14438 (y)h(default\),)h Fq(MSTP\(7\))p Fw(,)i Fq(MSTP\(11\))p
14439 Fw(,)244 2460 y Fq(MSTP\(14\))p Fw(,)73 b Fq(MSTP\(23\))p
14440 Fw(,)g Fq(MSTP\(30\))66 b Fw(\(remo)m(v)m(ed\),)72 b
14441 Fq(MSTP\(31\))p Fw(,)136 b Fq(MSTP\(34\))p Fw(,)73 b
14442 Fq(MSTP\(45\))p Fw(,)244 2568 y Fq(MSTP\(48\))p Fw(,)g
14443 Fq(MSTP\(49\))p Fw(,)g Fq(MSTP\(62\))p Fw(,)f Fq(MSTP\(67\))p
14444 Fw(,)h Fq(MSTP\(101\))p Fw(,)g Fq(PARP\(13\))p Fw(,)g
14445 Fq(PARP\(81\))p Fw(,)244 2676 y Fq(PARP\(82\))p Fw(,)35
14446 b Fq(PARP\(47\))f Fw(and)f Fq(PARP\(101\))p Fw(.)145
14447 2794 y Fn(\017)49 b Fw(All)42 b(obsolescen)m(t)j(features)f(of)f(the)i
14448 (F)-8 b(ortran)42 b(90)i(standard)g(ha)m(v)m(e)h(b)s(een)f(remo)m(v)m
14449 (ed,)k(i.e.)76 b(the)244 2902 y(program)36 b(should)h(w)m(ork)h(w)m
14450 (ell)f(either)g(with)g(a)g(F)-8 b(ortran)36 b(77)h(compiler)f(or)h
14451 (with)g(a)g(F)-8 b(ortran)36 b(90)244 3011 y(one.)145
14452 3129 y Fn(\017)49 b Fw(A)33 b(few)g(minor)d(errors)j(ha)m(v)m(e)h(b)s
14453 (een)g(corrected.)146 3242 y(The)46 b(follo)m(wing)c(c)m(hanges)j(ha)m
14454 (v)m(e)h(b)s(een)g(made)e(since)h(the)g(b)s(eginning)e(of)h(1994,)i
14455 (i.e.)79 b(since)45 b(the)0 3350 y(original)29 b(distribution)i(5.700:)
14456 119 3463 y(1.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.701,)f(27)g(Jan)m
14457 (uary)h(1994:)360 3581 y Fn(\017)48 b Fw(The)28 b(mac)m(hinery)e(to)g
14458 (handle)h Fj(\015)5 b(\015)31 b Fw(in)m(teractions)26
14459 b(is)g(expanded)i(to)e(the)h(lev)m(el)f(already)g(a)m(v)-5
14460 b(ail-)458 3689 y(able)29 b(for)g Fj(\015)5 b Fw(p.)43
14461 b(This)30 b(in)f(particular)f(means)h(that)h(a)f(n)m(um)m(b)s(er)h(of)f
14462 (new)i(options)e(app)s(ear)g(for)458 3797 y Fq(MSTP\(14\))p
14463 Fw(.)60 b(A\013ected)39 b(are)e(also)f Fq(MINT\(105\))p
14464 Fw(,)41 b Fq(MINT\(107\))p Fw(,)g Fq(MINT\(108\))p Fw(,)g
14465 Fq(MINT\(109\))p Fw(,)458 3906 y Fq(VINT\(282\))30 b
14466 Fw(\(remo)m(v)m(ed\),)f Fq(VINT\(283\))g Fw(and)e Fq(VINT\(284\))p
14467 Fw(.)44 b(P)m(arametrizations)25 b(are)i(in)m(tro-)458
14468 4014 y(duced)34 b(for)e(meson{meson)g(total,)f(elastic)g(and)i
14469 (di\013ractiv)m(e)f(cross)h(sections,)g(needed)h(for)458
14470 4122 y(the)41 b(VMD)e(part)h(of)f(the)h(photon.)65 b(The)40
14471 b(treatmen)m(t)g(of)f(cross)i(sections)f(for)f(hard)h(pro-)458
14472 4231 y(cesses,)30 b(of)c(initial)c(state)27 b(radiation,)e(of)h(b)s
14473 (eam)f(remnan)m(ts)i(and)f(of)g(other)g(asp)s(ects)h(are)f(also)458
14474 4339 y(expanded)39 b(to)d(co)m(v)m(er)i(the)f(new)g(p)s(ossibilities.)
14475 52 b(A)37 b(\014rst)g(study)h(of)e(the)h(relev)-5 b(an)m(t)36
14476 b(ph)m(ysics)458 4448 y(asp)s(ects)e(is)e(found)h(in)f([Sc)m(h94a].)360
14477 4565 y Fn(\017)48 b Fw(An)37 b(option)f(is)f(in)m(tro)s(duced)i(to)f
14478 (mo)s(dify)f(the)i Fj(Q)2227 4529 y Fl(2)2303 4565 y
14479 Fw(scale)f(of)g(the)h(anomalous)e(part)h(of)g(the)458
14480 4674 y(photon)d(parton)f(distributions,)g(see)h Fq(MSTP\(59\))i
14481 Fw(and)e Fq(PARP\(59\))p Fw(.)360 4791 y Fn(\017)48 b
14482 Fw(Correction)26 b(of)g(an)f(error,)j(where)f(the)f(generation)f(of)h
14483 (jet)g(and)g(lo)m(w-)p Fj(p)2985 4806 y Fk(?)3069 4791
14484 y Fw(ev)m(en)m(ts)i(could)e(giv)m(e)458 4900 y(incorrect)k(cross)i
14485 (section)e(information)d(with)i Fq(PYSTAT\(1\))k Fw(at)d(lo)m(w)f
14486 (energies.)44 b(The)31 b(ev)m(en)m(t)458 5008 y(generation)38
14487 b(itself)f(w)m(as)i(correct.)62 b(\(The)39 b(error)f(w)m(as)i(in)m(tro)
14488 s(duced)e(as)h(a)f(consequence)j(of)458 5116 y(allo)m(wing)31
14489 b(v)-5 b(ariable)30 b(energies.\))360 5234 y Fn(\017)48
14490 b Fw(A)28 b(rejection)g(is)f(in)m(tro)s(duced)h(for)f(top)h(ev)m(en)m
14491 (ts)i(where)f(the)f(top)g(mass)f(\(selected)i(according)458
14492 5343 y(to)k(a)f(Breit-Wigner\))f(is)h(to)s(o)g(lo)m(w)g(to)g(allo)m(w)f
14493 (the)i(deca)m(y)h(in)m(to)e(a)g(W)i(on)f(the)g(mass)f(shell.)360
14494 5460 y Fn(\017)48 b Fw(The)34 b(correction)e(of)g(a)h(few)g(other)f
14495 (minor)f(bugs,)j(probably)e(harmless.)119 5578 y(2.)49
14496 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.702,)f(13)g(F)-8 b(ebruary)33
14497 b(1994:)1841 5953 y(26)p eop
14498 %%Page: 27 33
14499 27 32 bop 360 -18 a Fn(\017)48 b Fw(The)24 b(in)m(terface)g(to)e
14500 Fm(Pdflib)i Fw(has)f(b)s(een)h(mo)s(di\014ed)e(to)h(re\015ect)h(that)e
14501 Fq(TMAS)j Fw(should)d(no)h(longer)458 90 y(b)s(e)37 b(set)h(except)g
14502 (in)e(\014rst)h Fq(PDFSET)i Fw(call.)54 b(\(Else)37 b(a)f(h)m(uge)i
14503 (amoun)m(t)e(of)g(irrelev)-5 b(an)m(t)36 b(w)m(arning)458
14504 198 y(messages)e(are)f(generated)g(b)m(y)i Fm(Pdflib)p
14505 Fw(.\))360 316 y Fn(\017)48 b Fw(The)32 b Fq(STOP)f Fw(statemen)m(t)g
14506 (in)f(a)g(few)h(dumm)m(y)f(routines)g(has)h(b)s(een)g(mo)s(difed)d(to)i
14507 (a)m(v)m(oid)h(irrel-)458 424 y(ev)-5 b(an)m(t)34 b(compilation)29
14508 b(w)m(arning)j(messages)h(on)g(IBM)g(mainframes.)360
14509 542 y Fn(\017)48 b Fw(A)33 b(few)g(lab)s(els)e(ha)m(v)m(e)j(b)s(een)g
14510 (ren)m(um)m(b)s(ered.)119 660 y(3.)49 b Fm(Pythia)33
14511 b Fw(v)m(ersion)g(5.703,)f(22)g(F)-8 b(ebruary)33 b(1994:)360
14512 778 y Fn(\017)48 b Fw(Remo)m(v)-5 b(al)27 b(of)h(a)h(bug)f(in)g
14513 Fq(PYRESD)p Fw(,)i(whic)m(h)f(could)f(giv)m(e)h(\(under)g(some)f(sp)s
14514 (eci\014c)h(conditions\))458 886 y(errors)k(in)f(the)h(colour)f(\015o)m
14515 (w.)119 1004 y(4.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.704,)f(7)g
14516 (April)f(1994:)360 1122 y Fn(\017)48 b Fw(Pro)s(cess)32
14517 b(11)d(has)h(b)s(een)h(corrected,)g(for)f(the)g(part)f(that)h(concerns)
14518 h(anomalous)d(couplings)458 1230 y(\(con)m(tact)37 b(in)m(teractions\))
14519 e(in)h(the)g(qq)1805 1194 y Fk(0)1863 1230 y Fn(!)d Fw(qq)2098
14520 1194 y Fk(0)2159 1230 y Fw(pro)s(cess.)55 b(The)37 b(error)f(w)m(as)h
14521 (presen)m(t)h(in)d(the)458 1349 y(expression)j(for)e(u)p
14522 1139 1270 55 4 v(d)f Fn(!)f Fw(u)p 1416 1270 V(d)j(and)g(ob)m(vious)f
14523 (p)s(erm)m(utations,)h(while)f(ud)e Fn(!)g Fw(ud,)k(u)p
14524 3448 1296 V(u)d Fn(!)f Fw(u)p 3725 1296 V(u)458 1457
14525 y(and)f(the)g(others)g(w)m(ere)h(correct.)360 1575 y
14526 Fn(\017)48 b Fw(The)28 b(option)d(with)g(p)s(ost-facto)h(\()p
14527 Fj(x;)17 b(Q)1829 1539 y Fl(2)1868 1575 y Fw(\))26 b(conserv)-5
14528 b(ation)26 b(in)g(deep)h(inelastic)d(scattering)i(can)458
14529 1683 y(giv)m(e)33 b(in\014nite)e(lo)s(ops)h(when)i(applied)d(to)h(pro)s
14530 (cess)i(83,)e(in)g(particular)e(if)i(one)g(asks)i(for)e(the)458
14531 1792 y(pro)s(duction)i(of)g(a)g(top.)49 b(\(Remem)m(b)s(er)34
14532 b(that)h(the)f(standard)h(DIS)g(kinematics)e(is)h(de\014ned)458
14533 1900 y(for)29 b(massless)g(quarks.\))44 b(Therefore)30
14534 b(the)g(switc)m(h)g Fq(MSTP\(23\))h Fw(has)e(b)s(een)h(mo)s(difed)d(so)
14535 j(that)458 2008 y(b)m(y)k(default)e(only)g(pro)s(cess)i(10)e(is)g
14536 (a\013ected.)360 2126 y Fn(\017)48 b Fq(PYRESD)41 b Fw(is)e(mo)s
14537 (di\014ed)f(to)h(ensure)h(isotropic)e(angular)g(distributions)g(in)g
14538 (the)i(deca)m(ys)h(of)458 2235 y(the)33 b(top)f(or)f(a)h(fourth)f
14539 (generation)h(particle,)f(i.e.)42 b(in)31 b(t)d Fn(!)f
14540 Fw(bW)2776 2198 y Fl(+)2836 2235 y Fw(.)43 b(This)32
14541 b(ma)m(y)g(not)g(b)s(e)g(the)458 2343 y(correct)40 b(distribution)d
14542 (but,)k(unless)f(explicit)d(kno)m(wledge)j(exists)g(for)e(a)h(giv)m(en)
14543 g(pro)s(cess,)458 2451 y(this)33 b(should)f(alw)m(a)m(ys)h(b)s(e)g(the)
14544 g(default.)360 2569 y Fn(\017)48 b Fw(In)32 b(pro)s(cesses)i(16,)e(20,)
14545 f(31)g(and)h(36)f(the)h(W)h(propagator)e(has)h(b)s(een)g(mo)s(di\014ed)
14546 f(to)g(include)458 2677 y Fj(s)p Fw(-dep)s(enden)m(t)41
14547 b(widths)e(in)e(the)j(Breit-Wigner)d(shap)s(e.)62 b(The)40
14548 b(most)e(notable)g(e\013ect)i(is)e(a)458 2786 y(suppression)c(of)e(the)
14549 h(lo)m(w-mass)f(tail)f(of)h(the)h(W)h(mass)e(sp)s(ectrum.)360
14550 2904 y Fn(\017)48 b Fw(When)27 b Fm(Pdflib)f Fw(is)f(used,)j
14551 Fq(PDFSET)f Fw(is)e(no)m(w)h(only)f(called)f(whenev)m(er)k(a)e
14552 (di\013eren)m(t)f(structure)458 3012 y(function)34 b(is)g(requested.)50
14553 b(F)-8 b(or)33 b(pp)i(ev)m(en)m(ts)h(therefore)f(only)f(one)g(call)e
14554 (is)i(made,)g(while)f Fj(\015)5 b Fw(p)458 3120 y(in)m(teractions)34
14555 b(still)d(in)m(v)m(olv)m(e)j(a)g(call)e(to)h Fq(PDFSET)i
14556 Fw(for)f(eac)m(h)g Fq(STRUCTM)i Fw(one,)e(since)h Fj(\015)j
14557 Fw(and)c(p)458 3229 y(structure)k(functions)f(ha)m(v)m(e)g(to)f(b)s(e)h
14558 (called)e(alternatingly)-8 b(.)53 b Fq(MINT\(93\))38
14559 b Fw(is)e(used)i(to)e(k)m(eep)458 3337 y(trac)m(k)e(of)e(latest)g
14560 (structure)i(function)e(called.)360 3455 y Fn(\017)48
14561 b Fw(In)28 b(a)e(few)h(places,)i(a)d(dot)h(has)g(b)s(een)h(mo)m(v)m(ed)
14562 f(from)f(the)h(end)g(of)g(one)g(line)e(to)i(the)g(b)s(eginning)458
14563 3563 y(of)i(the)g(next)h(con)m(tin)m(uation)e(line,)g(or)g(the)i(other)
14564 e(w)m(a)m(y)j(around,)e(to)g(k)m(eep)h(together)f(tok)m(ens)458
14565 3671 y(suc)m(h)35 b(as)d Fq(.EQ.)i Fw(or)e Fq(.AND.)p
14566 Fw(,)i(since)f(some)f(debuggers)i(ma)m(y)f(otherwise)g(complain.)360
14567 3789 y Fn(\017)48 b Fw(A)33 b(n)m(um)m(b)s(er)g(of)f(minor)f(errors)i
14568 (ha)m(v)m(e)h(b)s(een)f(corrected.)119 3907 y(5.)49 b
14569 Fm(Pythia)33 b Fw(v)m(ersion)g(5.705,)f(15)g(July)g(1994:)360
14570 4025 y Fn(\017)48 b Fw(A)36 b(completely)d(new)j(p)s(ossibilit)m(y)d
14571 (to)i(ha)m(v)m(e)h Fm(Pythia)f Fw(mix)f(di\013eren)m(t)h(allo)m(w)m(ed)
14572 f(pro)s(cesses)458 4133 y(\(direct,)i(VMD)f(and)g(anomalous\))f(in)g
14573 Fj(\015)5 b Fw(p)36 b(and)f Fj(\015)5 b(\015)40 b Fw(in)m(teractions.)
14574 50 b(This)36 b(option)e(can)h(b)s(e)458 4241 y(accessed)45
14575 b(with)c Fq(MSTP\(14\)=10)p Fw(.)75 b(The)43 b(relev)-5
14576 b(an)m(t)41 b(ph)m(ysics)j(description)d(and)h(program-)458
14577 4350 y(ming)h(details)g(ma)m(y)i(b)s(e)f(found)h(in)e(sections)i(7.7.2)
14578 f(and)h(8.3.2.)78 b(This)45 b(facilit)m(y)d(is)i(still)458
14579 4458 y(not)29 b(de\014nitiv)m(e,)h(in)f(that)f(it)g(is)h(hop)s(ed)g(to)
14580 g(gradually)e(enhance)k(it)d(with)g(further)i(features.)458
14581 4567 y(The)c(cross-section)f(output)f(of)g(the)h Fq(PYSTAT)g
14582 Fw(has)g(b)s(een)g(expanded)h(to)e(re\015ect)h(the)g(further)458
14583 4675 y(sub)s(division)32 b(of)g(the)h(total)e(cross)j(section.)360
14584 4793 y Fn(\017)48 b Fw(The)k(new)f(facilit)m(y)d(ab)s(o)m(v)m(e)j(has)f
14585 (required)h(a)f(ma)5 b(jor)49 b(restructuring)i(of)e(some)h(of)g(the)
14586 458 4901 y(co)s(de:)70 b(the)46 b(routine)f Fq(PYEVKI)i
14587 Fw(has)f(b)s(een)g(remo)m(v)m(ed,)k(new)c(routines)g
14588 Fq(PYINBM)p Fw(,)h Fq(PYINPR)458 5009 y Fw(and)41 b Fq(PYSAVE)g
14589 Fw(created,)i(and)d(some)f(material)f(has)i(b)s(een)h(mo)m(v)m(ed)f(to)
14590 g(or)f(from)g Fq(PYINIT)p Fw(,)458 5118 y Fq(PYINRE)g
14591 Fw(and)e Fq(PYINKI)p Fw(.)h(New)g(v)-5 b(ariables)36
14592 b(include)g Fq(MSTI\(9\))p Fw(,)k Fq(MINT\(121\))p Fw(,)g
14593 Fq(MINT\(122\))p Fw(,)458 5226 y Fq(MINT\(123\))35 b
14594 Fw(and)e Fq(VINT\(285\))p Fw(.)360 5344 y Fn(\017)48
14595 b Fw(The)38 b(GR)-11 b(V)37 b(leading-order)e(dynamically)g(generated)i
14596 (parton)g(distributions)f(for)g(the)h(p)458 5452 y(and)c
14597 Fj(\031)k Fw(ha)m(v)m(e)c(b)s(een)h(included)e(as)h(options,)f(see)i
14598 Fq(MSTP\(51\))g Fw(and)f Fq(MSTP\(53\))p Fw(.)360 5570
14599 y Fn(\017)48 b Fw(A)32 b(parametrization)c(of)j(the)h(homogeneous)f
14600 (solution)f(to)h(the)g(anomalous)f(photon)h(par-)1841
14601 5953 y(27)p eop
14602 %%Page: 28 34
14603 28 33 bop 458 -18 a Fw(ton)33 b(distributions)e(ha)m(v)m(e)j(b)s(een)f
14604 (added)g(as)g(an)g(option,)e(see)j Fq(MSTP\(56\)=3)p
14605 Fw(.)360 99 y Fn(\017)48 b Fw(The)35 b(treatmen)m(t)e(of)g(the)h
14606 (anomalous)e(photon)h(comp)s(onen)m(t)h(can)f(b)s(e)h(mo)s(di\014ed)e
14607 (with)h(the)458 208 y(new)h(switc)m(h)f Fq(MSTP\(15\))h
14608 Fw(and)f(v)-5 b(ariable)30 b Fq(PARP\(17\))p Fw(;)35
14609 b(at)d(the)h(same)f(time)f Fq(MSTP\(59\))j Fw(and)458
14610 316 y Fq(PARP\(59\))i Fw(ha)m(v)m(e)g(b)s(een)e(remo)m(v)m(ed.)48
14611 b(The)35 b(new)g(options)e(are)h(mainly)e(in)m(tended)i(for)g(com-)458
14612 424 y(parativ)m(e)f(studies)g(and)g(should)f(not)h(normally)d(b)s(e)j
14613 (touc)m(hed.)360 542 y Fn(\017)48 b Fw(The)31 b(option)e
14614 Fq(MSTP\(92\)=5)j Fw(for)d(b)s(eam)g(remnan)m(t)h(treatmen)m(t)g
14615 (erroneously)g(missed)g(some)458 650 y(statemen)m(ts)45
14616 b(whic)m(h)g(no)m(w)f(ha)m(v)m(e)i(b)s(een)e(inserted.)78
14617 b(F)-8 b(urther,)47 b(new)e(options)e(ha)m(v)m(e)j(b)s(een)458
14618 759 y(added)36 b(for)f(the)g(b)s(eam)g(remnan)m(t)g(splitting)e(of)i
14619 (momen)m(tum)e(b)s(et)m(w)m(een)k(a)e(hadron)g(and)h(a)458
14620 867 y(quark/diquark)29 b(jet,)f(where)h Fq(MSTP\(94\))h
14621 Fw(should)d(no)m(w)h(b)s(e)g(used)g(rather)g(than)f Fq(MSTP\(92\))p
14622 Fw(.)360 985 y Fn(\017)48 b Fw(In)29 b Fq(PYDIFF)h Fw(the)f(recoiling)d
14623 (gluon)i(energy)h(is)f(calculated)g(in)f(a)h(n)m(umerically)f(more)h
14624 (stable)458 1093 y(fashion.)119 1211 y(6.)49 b Fm(Pythia)33
14625 b Fw(v)m(ersion)g(5.706,)f(25)g(August)h(1994:)360 1329
14626 y Fn(\017)48 b Fw(New)43 b(pro)s(cesses)g(167)d(and)i(168,)g(qq)1821
14627 1293 y Fk(0)1888 1329 y Fn(!)g Fw(q)2081 1293 y Fk(00)2124
14628 1329 y Fw(d)2178 1293 y Fk(\003)2259 1329 y Fw(and)f(qq)2559
14629 1293 y Fk(0)2626 1329 y Fn(!)h Fw(q)2819 1293 y Fk(00)2862
14630 1329 y Fw(d)2916 1293 y Fk(\003)2955 1329 y Fw(,)i(resp)s(ectiv)m(ely)
14631 -8 b(,)44 b(ha)m(v)m(e)458 1437 y(b)s(een)i(in)m(tro)s(duced.)79
14632 b(These)46 b(con)m(tact)f(in)m(teraction)f(pro)s(duction)f(pro)s
14633 (cesses)k(of)d(excited)458 1546 y(quarks)31 b(complemen)m(t)e(the)h
14634 (quark{gluon)f(fusion)f(ones)j(in)d(pro)s(cesses)k(147)c(and)i(148,)f
14635 (and)458 1654 y(ob)s(ey)34 b(the)f(same)f(general)g(rules,)h(see)g
14636 (section)g(8.5.5.)360 1772 y Fn(\017)48 b Fw(The)39 b(option)e
14637 Fq(MSTP\(57\)=3)k Fw(no)m(w)e(also)e(allo)m(ws)g(a)h(damp)s(ening)f(of)
14638 g Fj(\031)2999 1736 y Fk(\006)3096 1772 y Fw(parton)h(distribu-)458
14639 1880 y(tions.)360 1998 y Fn(\017)48 b Fw(A)33 b(few)g(minor)e(errors)i
14640 (ha)m(v)m(e)h(b)s(een)f(corrected.)119 2116 y(7.)49 b
14641 Fm(Pythia)33 b Fw(v)m(ersion)g(5.707,)f(20)g(Octob)s(er)g(1994:)360
14642 2233 y Fn(\017)48 b Fw(A)32 b(ma)5 b(jor)30 b(bug)i(disco)m(v)m(ered)h
14643 (in)e(pro)s(cesses)i(121)e(and)g(122)g(\(and)g(th)m(us)i(also)d
14644 (a\013ecting)h(181,)458 2351 y(182,)45 b(186)d(and)h(187\),)h(gg\(q)p
14645 1509 2298 52 4 v(q)q(\))h Fn(!)f Fw(Q)p 1864 2273 76
14646 4 v(QH:)64 b(the)43 b(kinematics)f(w)m(as)h(incorrectly)g(handed)458
14647 2460 y(on)f(to)g(the)g(Kunszt)h(matrix)d(elemen)m(ts.)72
14648 b(This)42 b(a\013ected)h(the)g(default)e(option)g(Q)i(=)g(t,)458
14649 2568 y(but)i(e\013ects)h(w)m(ere)g(esp)s(ecially)e(dramatic)f(when)i
14650 (the)g(alternativ)m(e)f(Q)k(=)g(b)d(w)m(as)g(used.)458
14651 2676 y(The)32 b(c)m(hoice)e(of)g(appropriate)g Fj(Q)1654
14652 2640 y Fl(2)1724 2676 y Fw(scale)g(for)g(structure)h(functions)f(in)m
14653 (tro)s(duces)h(a)f(further)458 2785 y(uncertain)m(t)m(y)k(in)e(cross)h
14654 (sections)g(for)f(the)h(pro)s(cesses)i(ab)s(o)m(v)m(e.)44
14655 b(So)33 b(long)e(as)i(only)f(t)g(quarks)458 2893 y(are)e(considered,)g
14656 (the)g(t)f(mass)g(is)g(a)g(reasonable)g(c)m(hoice,)h(but)g(for)e(the)i
14657 (Q)d(=)h(b)h(alternativ)m(e)458 3001 y(this)42 b(is)f(presumably)g(to)s
14658 (o)g(lo)m(w.)70 b(Therefore)42 b(new)h(options)d(ha)m(v)m(e)j(b)s(een)g
14659 (in)m(tro)s(duced)e(in)458 3110 y Fq(MSTP\(39\))p Fw(,)35
14660 b(with)d(the)h(default)f(b)s(eha)m(viour)h(c)m(hanged.)360
14661 3227 y Fn(\017)48 b Fw(Another)30 b(imp)s(ortan)m(t)c(bug)j(corrected)h
14662 (in)d(the)i(calculation)d(of)j(the)g(reduction)f(of)g(t)p
14663 3506 3156 38 4 v(t)h(cross)458 3336 y(section)24 b(when)g(deca)m(y)h
14664 (mo)s(des)e(are)h(forced.)40 b(This)24 b(o)s(ccured)g(when)h(b)s(oth)e
14665 (t)g(and)p 3325 3265 V 23 w(t)h(pro)s(duced)458 3444
14666 y(a)33 b(W)q(,)g(and)g(W)992 3408 y Fl(+)1084 3444 y
14667 Fw(and)f(W)1374 3408 y Fk(\000)1467 3444 y Fw(deca)m(y)i(mo)s(des)e(w)m
14668 (ere)i(set)f(di\013eren)m(tly)-8 b(.)119 3562 y(8.)49
14669 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.708,)f(25)g(Octob)s(er)g(1994:)360
14670 3680 y Fn(\017)48 b Fw(A)40 b(few)f(further)g(places)g(c)m(hanged)h(to)
14671 f(mak)m(e)g(pro)s(cesses)i(181,)f(182,)g(186)e(and)h(187)g(w)m(ork)458
14672 3788 y(\(see)34 b(v)m(ersion)f(5.707)f(ab)s(o)m(v)m(e\).)119
14673 3906 y(9.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.709,)f(26)g(Octob)s(er)
14674 g(1994:)360 4024 y Fn(\017)48 b Fw(The)33 b(matrix)e(elemen)m(t)g(for)h
14675 (f)p 1520 3945 37 4 v 7 w(f)i Fn(!)27 b Fw(W)1812 3988
14676 y Fl(+)1872 4024 y Fw(W)1973 3988 y Fk(\000)2064 4024
14677 y Fw(has)33 b(b)s(een)f(replaced,)h(using)e(the)i(form)m(ulae)d(of)458
14678 4132 y(D.)47 b(Bardin,)j(M.)e(Bilenky)-8 b(,)50 b(D.)d(Lehner,)52
14679 b(A.)47 b(Olc)m(hevski)h(and)f(T.)h(Riemann,)h(CERN-)458
14680 4240 y(TH.7295/94,)458 4361 y(but)g(with)f(the)h(dep)s(endence)i(on)e
14681 (the)1951 4343 y(^)1950 4361 y Fj(t)f Fw(v)-5 b(ariable)47
14682 b(not)h(in)m(tegrated)h(out)f(\(D.)g(Bardin,)458 4469
14683 y(priv)-5 b(ate)41 b(comm)m(unication\).)69 b(This)41
14684 b(a)m(v)m(oids)h(some)g(problems)f(encoun)m(tered)j(in)c(the)i(old)458
14685 4578 y(expressions)35 b(when)f(one)e(or)h(b)s(oth)f(W)q('s)i(w)m(ere)g
14686 (far)e(o\013)g(the)h(mass)f(shell.)360 4696 y Fn(\017)48
14687 b Fw(Change)35 b(in)f(calls)f(to)g Fm(Pdflib)p Fw(,)i(so)g(that)f(the)g
14688 (input)g Fj(Q)g Fw(is)g(alw)m(a)m(ys)h(at)f(least)f(the)i
14689 Fj(Q)3545 4711 y Fl(min)3701 4696 y Fw(of)458 4804 y(the)e(resp)s
14690 (ectiv)m(e)i(set.)360 4922 y Fn(\017)48 b Fw(Extra)34
14691 b(protection)e(against)f(in\014nite)h(lo)s(ops)f(in)h(PYSSP)-8
14692 b(A.)70 5040 y(10.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.710,)f(27)g
14693 (Jan)m(uary)h(1995:)360 5157 y Fn(\017)48 b Fw(The)37
14694 b(dimensions)d(of)h(the)g Fq(HGZ)h Fw(arra)m(y)g(in)e
14695 Fq(PYRESD)j Fw(has)f(b)s(een)g(expanded)g(to)f(a)m(v)m(oid)g(acci-)458
14696 5266 y(den)m(tal)e(writing)e(outside)h(the)h(b)s(ounds.)360
14697 5383 y Fn(\017)48 b Fq(VINT\(41\)-VINT\(66\))29 b Fw(are)24
14698 b(sa)m(v)m(ed)i(and)e(restored)i(in)d Fq(PYSCAT)p Fw(,)j(for)d(use)i
14699 (in)f(lo)m(w-)p Fj(p)3407 5398 y Fk(?)3489 5383 y Fw(ev)m(en)m(ts,)458
14700 5492 y(when)34 b(b)s(eam)e(remnan)m(t)h(treatmen)m(t)f(has)h(failed)e
14701 (\(with)h(nonzero)h Fq(MINT\(57\))p Fw(\).)360 5610 y
14702 Fn(\017)48 b Fw(The)41 b(routine)e Fq(PYSTGH)i Fw(has)f(b)s(een)g
14703 (replaced)g(b)m(y)g(the)g(routine)f Fq(PYSTHG)p Fw(.)i(This)e(con)m
14704 (tains)1841 5953 y(28)p eop
14705 %%Page: 29 35
14706 29 34 bop 458 -18 a Fw(an)39 b(impro)m(v)m(ed)g(parametrization)d(of)i
14707 (the)h(homogeneous)g(ev)m(olution)e(of)i(an)f(anomalous)458
14708 90 y(photon)c(from)e(some)i(giv)m(en)f(initial)d(scale.)46
14709 b(The)35 b(argumen)m(t)e Fq(NF)h Fw(of)f(the)h Fq(PYSTGH)h
14710 Fw(routine)458 198 y(has)43 b(b)s(een)g(remo)m(v)m(ed;)k(no)m(w)c(\003)
14711 f(is)f(alw)m(a)m(ys)i(automatically)38 b(con)m(v)m(erted)44
14712 b(to)e(the)h(relev)-5 b(an)m(t)458 307 y Fj(n)516 322
14713 y Fh(f)562 307 y Fw(-\015a)m(v)m(our)33 b(v)-5 b(alue)32
14714 b(from)f(its)h(4-\015a)m(v)m(our)h(one,)g(at)f(\015a)m(v)m(our)i
14715 (thresholds.)70 424 y(11.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.711,)f
14716 (20)g(F)-8 b(ebruary)33 b(1995:)360 542 y Fn(\017)48
14717 b Fw(New)f(p)s(ossibilities)c(ha)m(v)m(e)k(b)s(een)f(added)h(to)e
14718 (switc)m(h)h(b)s(et)m(w)m(een)i(electro)m(w)m(eak)f(couplings)458
14719 650 y(b)s(eing)41 b(expressed)j(in)c(terms)h(of)g(a)g(running)g
14720 Fj(\013)2222 665 y Fl(em)2316 650 y Fw(\()p Fj(Q)2431
14721 614 y Fl(2)2471 650 y Fw(\))g(or)g(in)f(terms)h(of)g(a)g(\014xed)h(F)-8
14722 b(ermi)458 759 y(constan)m(t)32 b Fj(G)927 774 y Fl(F)977
14723 759 y Fw(.)43 b(This)31 b(a\013ects)h(b)s(oth)e(deca)m(y)i(widths)f
14724 (and)g(pro)s(cess)h(cross)g(sections,)g(in)e(the)458
14725 867 y(routines)g Fq(PYINRE)p Fw(,)h Fq(PYRESD)p Fw(,)g
14726 Fq(PYWIDT)g Fw(and)e Fq(PYSIGH)p Fw(.)i(See)g Fq(MSTP\(8\))g
14727 Fw(for)e(details;)g(default)458 976 y(corresp)s(onds)34
14728 b(to)f(old)e(b)s(eha)m(viour.)360 1093 y Fn(\017)48 b
14729 Fw(The)i(option)d Fq(MSTP\(37\)=1)p Fw(,)56 b(with)48
14730 b(running)g(quark)h(masses)h(in)d(couplings)h(to)g(Higgs)458
14731 1202 y(b)s(osons,)42 b(only)c(w)m(orks)i(when)h Fj(\013)1639
14732 1217 y Fl(s)1709 1202 y Fw(is)e(allo)m(w)m(ed)f(to)h(run)g(\(so)g(one)g
14733 (can)h(de\014ne)g(a)e(\003)h(v)-5 b(alue\).)458 1310
14734 y(Therefore)35 b(a)e(c)m(hec)m(k)j(has)d(b)s(een)h(in)m(tro)s(duced)g
14735 (in)e Fq(PYWIDT)j Fw(and)f Fq(PYSIGH)h Fw(that)e(the)h(option)458
14736 1418 y Fq(MSTP\(37\)=1)i Fw(is)c(only)g(executed)j(if)c(additionally)g
14737 Fq(MSTP\(2\))p Fn(\025)f Fw(1.)360 1536 y Fn(\017)48
14738 b Fw(Some)29 b(non-ph)m(ysics)h(c)m(hanges)g(ha)m(v)m(e)g(b)s(een)g
14739 (made)e(in)h(the)g Fq(RKBBV)h Fw(and)f Fq(STRUCTM)i Fw(co)s(des)e(so)
14740 458 1644 y(as)k(to)f(a)m(v)m(oid)h(some)f(\(in)g(principle)f
14741 (harmless\))h(compiler)f(w)m(arnings.)70 1762 y(12.)49
14742 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.712,)f(15)g(Marc)m(h)h(1995:)360
14743 1880 y Fn(\017)48 b Fw(A)37 b(serious)h(error)e(has)i(b)s(een)f
14744 (corrected)i(in)d(the)h Fq(MSTP\(173\)=1)j Fw(option,)d(i.e.)56
14745 b(when)38 b(the)458 1988 y(program)31 b(is)h(run)g(with)g
14746 (user-de\014ned)i(w)m(eigh)m(ts)f(that)f(should)g(comp)s(ensate)h(for)f
14747 (a)f(biased)458 2097 y(c)m(hoice)j(of)f(v)-5 b(ariable)31
14748 b(b)s(eam)i(energies.)46 b(This)33 b(b)s(oth)g(a\013ected)h(the)g
14749 (relativ)m(e)e(admixture)h(of)458 2205 y(lo)m(w-)j(and)g(high-)p
14750 Fj(p)1131 2220 y Fk(?)1224 2205 y Fw(ev)m(en)m(ts)j(and)d(the)g(total)e
14751 (cross)j(section)f(obtained)g(b)m(y)h(Mon)m(te)f(Carlo)458
14752 2313 y(in)m(tegration.)42 b(\()p Fq(PYRAND)34 b Fw(c)m(hanged.\))360
14753 2431 y Fn(\017)48 b Fw(In)33 b(order)e(to)h(impro)m(v)m(e)f(the)h
14754 (\015exibilit)m(y)e(and)i(e\016ciency)h(of)f(the)g(v)-5
14755 b(ariable-energy)30 b(option,)458 2540 y(the)49 b(user)g(should)g(no)m
14756 (w)f(set)h Fq(PARP\(174\))i Fw(b)s(efore)d(the)h Fq(PYINIT)h
14757 Fw(call,)h(and)d(thereafter)458 2648 y(not)36 b(c)m(hange)h(it.)53
14758 b(This)36 b(allo)m(ws)f Fq(PARP\(173\))j Fw(w)m(eigh)m(ts)f(of)f
14759 (arbitrary)f(size.)54 b(\()p Fq(PYRAND)37 b Fw(and)458
14760 2756 y Fq(PYMAXI)e Fw(c)m(hanged.\))360 2874 y Fn(\017)48
14761 b Fq(MSTI\(5\))d Fw(\(and)e Fq(MINT\(5\))p Fw(\))h(are)e(no)m(w)i(c)m
14762 (hanged)f(so)g(they)h(coun)m(t)f(the)g(n)m(um)m(b)s(er)g(of)f(suc-)458
14763 2982 y(cessfully)32 b(generated)g(ev)m(en)m(ts,)i(rather)d(than)g(the)h
14764 (n)m(um)m(b)s(er)f(of)g(tries)g(made.)42 b(This)32 b(c)m(hange)458
14765 3091 y(only)26 b(a\013ects)h(runs)g(with)f(v)-5 b(ariable)24
14766 b(energies,)k Fq(MSTP\(171\)=1)h Fw(and)e Fq(MSTP\(172\)=2)p
14767 Fw(,)j(where)458 3199 y Fq(MSTI\(61\)=1)25 b Fw(signals)d(that)g(a)g
14768 (user-pro)m(vided)h(energy)h(has)e(b)s(een)i(rejected)f(in)f(the)h(w)m
14769 (eigh)m(t-)458 3307 y(ing.)40 b(This)24 b(c)m(hange)g(also)f(a\013ects)
14770 h Fq(PARI\(2\))p Fw(,)j(whic)m(h)d(b)s(ecomes)g(the)g(cross)h(section)e
14771 (p)s(er)h(fully)458 3416 y(generated)34 b(ev)m(en)m(t.)45
14772 b(\()p Fq(PYEVNT)34 b Fw(c)m(hanged.\))360 3534 y Fn(\017)48
14773 b Fw(The)30 b(option)e Fq(MSTP\(14\)=10)k Fw(has)d(no)m(w)h(b)s(een)g
14774 (extended)h(so)e(that)g(it)f(also)g(w)m(orks)i(for)e(deep)458
14775 3642 y(inelastic)g(scattering)i(of)f(an)h(electron)f(o\013)g(a)h
14776 (\(real\))e(photon,)j(i.e.)42 b(subpro)s(cess)31 b(10.)42
14777 b(What)458 3750 y(is)27 b(obtained)g(is)g(a)g(mixture)f(of)h(the)h
14778 (photon)f(acting)f(as)i(a)f(v)m(ector)h(meson)f(and)h(it)e(acting)g(as)
14779 458 3859 y(an)i(anomalous)e(state.)43 b(This)28 b(should)g(therefore)g
14780 (b)s(e)g(the)g(sum)g(of)g(what)g(can)g(b)s(e)g(obtained)458
14781 3967 y(with)k Fq(MSTP\(14\)=2)i Fw(and)e Fq(=3)p Fw(.)44
14782 b(It)32 b(is)f(distinct)g(from)f Fq(MSTP\(14\)=1)35 b
14783 Fw(in)c(that)g(di\013eren)m(t)h(sets)458 4075 y(are)e(used)g(for)f(the)
14784 h(parton)f(distributions)f(|)h(in)f Fq(MSTP\(14\)=1)k
14785 Fw(all)27 b(the)j(con)m(tributions)f(to)458 4184 y(the)f(photon)f
14786 (distributions)e(are)i(lump)s(ed)f(together,)j(while)d(they)i(are)f
14787 (split)e(in)h(VMD)h(and)458 4292 y(anomalous)g(parts)i(for)g
14788 Fq(MSTP\(14\)=10)p Fw(.)45 b(Also)28 b(the)h(b)s(eam)f(remnan)m(t)h
14789 (treatmen)m(t)f(is)h(di\013er-)458 4400 y(en)m(t,)36
14790 b(with)e(a)h(simple)e(Gaussian)h(distribution)e(\(at)j(least)f(b)m(y)h
14791 (default\))f(for)g Fq(MSTP\(14\)=1)458 4509 y Fw(and)e(the)h(VMD)f
14792 (part)f(of)39 b Fq(MSTP\(14\)=10)p Fw(,)c(but)d(a)f(p)s(o)m(w)m(erlik)m
14793 (e)i(distribution)c(d)p Fj(k)3362 4472 y Fl(2)3359 4533
14794 y Fk(?)3418 4509 y Fw(\))p Fj(=k)3559 4472 y Fl(2)3556
14795 4533 y Fk(?)3647 4509 y Fw(b)s(e-)458 4617 y(t)m(w)m(een)49
14796 b Fq(PARP\(15\))f Fw(and)f Fj(Q)f Fw(for)g(the)h(anomalous)e(part)h(of)
14797 53 b Fq(MSTP\(14\)=10)p Fw(.)88 b(\()p Fq(PYINIT)p Fw(,)458
14798 4725 y Fq(PYINPR)35 b Fw(and)d Fq(PYSTAT)i Fw(c)m(hanged.\))458
14799 4834 y(T)-8 b(o)40 b(access)g(this)f(option)f(for)g(e)i(and)f
14800 Fj(\015)44 b Fw(as)39 b(incoming)e(b)s(eams,)j(it)e(is)h(only)f
14801 (necessary)k(to)458 4942 y(set)32 b Fq(MSTP\(14\)=10)i
14802 Fw(and)d(k)m(eep)h Fq(MSEL)g Fw(at)e(its)g(default)h(v)-5
14803 b(alue.)42 b(Unlik)m(e)30 b(the)i(corresp)s(onding)458
14804 5050 y(option)37 b(for)g Fj(\015)5 b Fw(p)38 b(and)g
14805 Fj(\015)5 b(\015)g Fw(,)39 b(no)f(cuts)h(are)e(o)m(v)m(erwritten,)k
14806 (i.e.)58 b(it)37 b(is)g(still)f(the)i(resp)s(onsabil-)458
14807 5159 y(it)m(y)45 b(of)g(the)h(user)g(to)f(set)h(these)g(appropriately)
14808 -8 b(.)80 b(Those)47 b(esp)s(ecially)d(appropriate)g(for)458
14809 5267 y(DIS)j(usage)h(are)f Fq(CKIN\(21\)-CKIN\(22\))52
14810 b Fw(or)46 b Fq(CKIN\(23\)-CKIN\(24\))52 b Fw(for)47
14811 b(the)g Fj(x)g Fw(range)458 5375 y(\(former)39 b(or)g(latter)f(dep)s
14812 (ending)h(on)g(whic)m(h)h(side)g(is)e(the)i(incoming)d(real)h
14813 (photon\),)j(and)458 5484 y Fq(CKIN\(35\)-CKIN\(36\))g
14814 Fw(for)36 b(the)h Fj(Q)1768 5448 y Fl(2)1844 5484 y Fw(range.)56
14815 b(A)36 b(further)h(new)g(option)f(has)h(b)s(een)g(added)458
14816 5592 y(\(in)32 b Fq(PYKLIM)p Fw(\))i(to)f(set)g(the)g
14817 Fj(W)1534 5556 y Fl(2)1605 5592 y Fw(range)g(as)g(w)m(ell,)f(see)h
14818 Fq(CKIN\(39\)-CKIN\(40\))p Fw(.)1841 5953 y(29)p eop
14819 %%Page: 30 36
14820 30 35 bop 458 -18 a Fw(A)28 b(w)m(arning)e(ab)s(out)h(the)g(usage)h(of)
14821 33 b Fm(Pdflib)28 b Fw(for)e(photons.)42 b(So)27 b(long)f(as)h
14822 Fq(MSTP\(14\)=1)p Fw(,)k(i.e.)458 90 y(the)37 b(photon)e(is)h(not)f
14823 (split)g(up,)i Fm(Pdflib)f Fw(is)f(accessed)j(b)m(y)g
14824 Fq(MSTP\(56\)=2)h Fw(and)c Fq(MSTP\(55\))458 198 y Fw(the)41
14825 b(parton)f(distribution)e(set,)43 b(as)d(describ)s(ed)h(in)f(the)g(man)
14826 m(ual.)65 b(Ho)m(w)m(ev)m(er,)45 b(when)c(the)458 307
14827 y(VMD)31 b(and)g(anomalous)e(pieces)i(are)g(split,)f(the)h(VMD)g(part)f
14828 (is)h(based)g(on)g(a)f(rescaling)g(of)458 415 y(pion)g(distributions)e
14829 (b)m(y)j(VMD)f(factors)h(\(except)g(for)f(the)g(SaS)g(sets,)i(that)e
14830 (already)g(come)458 523 y(with)f(a)h(separate)g(VMD)f(piece\).)43
14831 b(Therefore,)31 b(to)e(access)i Fm(Pdflib)f Fw(for)f
14832 Fq(MSTP\(14\)=10)p Fw(,)j(it)458 632 y(is)37 b(not)f(correct)i(to)e
14833 (set)h Fq(MSTP\(56\)=2)j Fw(and)d(a)f(photon)h(distribution)e(in)h
14834 Fq(MSTP\(55\))p Fw(.)58 b(In-)458 740 y(stead,)28 b(one)f(should)e(put)
14835 h Fq(MSTP\(56\)=2)p Fw(,)k Fq(MSTP\(54\)=2)f Fw(and)d(a)f(pion)g
14836 (distribution)f(co)s(de)i(in)458 848 y Fq(MSTP\(53\))p
14837 Fw(,)35 b(while)d Fq(MSTP\(55\))j Fw(has)e(no)g(function.)44
14838 b(The)33 b(anomalous)e(part)i(is)f(still)f(based)458
14839 957 y(on)i(the)g(SaS)g(parametrization,)d(with)i Fq(PARP\(15\))j
14840 Fw(as)d(main)f(free)i(parameter.)360 1074 y Fn(\017)48
14841 b Fw(A)33 b(c)m(hange)h(has)f(b)s(een)g(made)f(in)g Fq(PYREMN)i
14842 Fw(to)e(reduce)i(the)f(p)s(ossibilit)m(y)e(of)h(in\014nite)f(lo)s(ops.)
14843 70 1192 y(13.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.713,)f(22)g(Marc)m
14844 (h)h(1995:)360 1310 y Fn(\017)48 b Fw(The)d(SaS)e(parton)g
14845 (distributions)e(of)i(the)h(photons)f(are)g(no)m(w)h(a)m(v)-5
14846 b(ailable,)43 b(see)i([Sc)m(h95].)458 1418 y(There)33
14847 b(are)e(four)g(new)h(sets.)44 b(These)33 b(di\013er)d(in)h(that)f(t)m
14848 (w)m(o)i(use)g(a)f Fj(Q)2889 1433 y Fl(0)2956 1418 y
14849 Fw(=)d(0)p Fj(:)p Fw(6)j(GeV)g(and)g(t)m(w)m(o)458 1527
14850 y(a)36 b Fj(Q)620 1542 y Fl(0)694 1527 y Fw(=)d(2)j(GeV,)g(and)g(in)g
14851 (that)g(t)m(w)m(o)h(use)g(the)f(DIS)g(and)g(t)m(w)m(o)h(the)p
14852 2954 1449 144 4 v 37 w(MS)f(con)m(v)m(en)m(tions)i(for)458
14853 1635 y(the)h(dominan)m(t)e(non-leading)g(con)m(tributions.)60
14854 b(\(Ho)m(w)m(ev)m(er,)42 b(the)d(\014ts)g(are)f(formally)e(still)458
14855 1743 y(leading-order,)24 b(in)f(that)h(not)f(all)f(next-to-leading)g
14856 (con)m(tributions)h(ha)m(v)m(e)i(b)s(een)g(included.\))458
14857 1852 y(New)h(default)f(is)f(the)i(SaS)f(1D)f(set.)41
14858 b(F)-8 b(urthermore,)26 b(for)f(the)g(de\014nition)f(of)h
14859 Fj(F)3254 1804 y Fh(\015)3240 1873 y Fl(2)3298 1852 y
14860 Fw(,)h(additional)458 1960 y(terms)h(app)s(ear)g(that)f(do)g(not)h
14861 (form)e(part)i(of)f(the)h(parton)f(distributions)f(itself.)40
14862 b(T)-8 b(o)27 b(partly)458 2068 y(tak)m(e)48 b(this)f(in)m(to)f(accoun)
14863 m(t,)51 b(an)c(additional)d(doubling)i(of)g(the)h(p)s(ossibilities)d
14864 (has)k(b)s(een)458 2177 y(included.)f(These)35 b(eigh)m(t)e(p)s
14865 (ossibilites)f(can)i(b)s(e)f(accesed)j(with)d Fq(MSTP\(55\))p
14866 Fw(.)49 b(The)34 b(default)458 2285 y(v)-5 b(alue)29
14867 b(of)36 b Fq(PARP\(15\))c Fw(has)e(b)s(een)g(c)m(hanged)g(from)e(0.5)h
14868 (to)g(0.6)g(GeV,)h(for)f(consistency)i(with)458 2393
14869 y(SaS)i(1D.)458 2502 y(The)h(generic)e(routine)g Fq(PYSTFU)i
14870 Fw(has)e(b)s(een)h(rewritten)g(to)f(handle)g(the)g(in)m(terfacing.)43
14871 b(The)458 2610 y(old)31 b(routines)g Fq(PYSTAG)p Fw(,)i
14872 Fq(PYSTGS)p Fw(,)f Fq(PYDILN)h Fw(and)e Fq(PYSTHG)i Fw(ha)m(v)m(e)g(b)s
14873 (een)e(remo)m(v)m(ed.)44 b(Instead)458 2718 y(the)34
14874 b(routines)e(of)g(the)h Fm(SaSgam)g Fw(library)e(ha)m(v)m(e)j(b)s(een)f
14875 (inserted.)44 b(In)33 b(order)g(to)f(a)m(v)m(oid)h(an)m(y)458
14876 2827 y(clashes,)41 b(the)d(routines)g Fq(SAS***)i Fw(ha)m(v)m(e)f(b)s
14877 (een)g(renamed)f Fq(PYG***)p Fw(.)61 b(Th)m(us)40 b(new)f(routines)458
14878 2935 y(are)33 b Fq(PYGGAM)p Fw(,)i Fq(PYGVMD)p Fw(,)g
14879 Fq(PYGANO)p Fw(,)f Fq(PYGBEH)h Fw(and)e Fq(PYGDIR)p Fw(.)i(The)e
14880 (common)f(blo)s(c)m(k)h Fq(SASCOM)458 3043 y Fw(is)e(renamed)g
14881 Fq(PYINT8)p Fw(.)45 b(If)31 b(y)m(ou)h(w)m(an)m(t)g(to)f(use)h(the)f
14882 (parton)g(distributions)f(for)h(standalone)458 3152 y(purp)s(oses,)g(y)
14883 m(ou)d(are)g(encouraged)g(to)g(use)g(the)h(original)24
14884 b Fm(SaSgam)k Fw(routines)g(rather)f(than)458 3260 y(going)32
14885 b(the)h(w)m(a)m(y)g(via)f(the)h Fm(Pythia)g Fw(adaptations.)360
14886 3378 y Fn(\017)48 b Fq(PYDOCU)37 b Fw(has)e(b)s(een)g(corrected)h(so)f
14887 (that)g Fq(PARI\(2\))h Fw(refers)g(to)e(the)i(full)c(cross)k(section)f
14888 (for)458 3486 y Fj(\015)5 b Fw(p)33 b(and)g Fj(\015)5
14889 b(\015)37 b Fw(pro)s(cesses,)e(rather)e(than)f(that)h(of)f(the)h
14890 (latest)f(subpro)s(cess)j(considered.)360 3604 y Fn(\017)48
14891 b Fw(An)33 b(additional)d(c)m(hec)m(k)35 b(has)e(b)s(een)g(inserted)g
14892 (in)m(to)f(PYREMN.)70 3722 y(14.)49 b Fm(Pythia)33 b
14893 Fw(v)m(ersion)g(5.714,)f(22)g(Marc)m(h)h(1995:)360 3840
14894 y Fn(\017)48 b Fw(Some)38 b(minor)d(mo)s(di\014cations)h(to)h
14895 Fq(PYSTFU)i Fw(and)f Fq(PYGGAM)h Fw(in)e(the)h(w)m(ak)m(e)h(of)e(the)h
14896 (c)m(hanges)458 3948 y(of)33 b(the)g(previous)g(v)m(ersion.)70
14897 4066 y(15.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.715,)f(24)g(April)f
14898 (1995:)360 4184 y Fn(\017)48 b Fw(An)29 b(unfortunate)f(c)m(hoice)g(of)
14899 g(default)f(v)-5 b(alues)28 b(has)g(b)s(een)h(corrected:)42
14900 b(the)28 b(old)f Fq(MSTP\(3\)=2)458 4292 y Fw(v)-5 b(alue)28
14901 b(implied)e(that)i(\003)1324 4307 y Fl(QCD)1516 4292
14902 y Fw(w)m(as)i(en)m(tirely)e(based)h(on)f(the)h(\003)f(v)-5
14903 b(alue)28 b(of)g(the)h(proton)f(struc-)458 4400 y(ture)35
14904 b(function;)e(also)g(e.g.)47 b(for)34 b(e)1660 4364 y
14905 Fl(+)1719 4400 y Fw(e)1762 4364 y Fk(\000)1855 4400 y
14906 Fw(annihilation)c(ev)m(en)m(ts.)50 b(Th)m(us)35 b(the)f(\003)f(in)g
14907 Fq(PARJ\(81\))458 4509 y Fw(w)m(as)e(o)m(v)m(erwritten,)g(i.e.)42
14908 b(did)30 b(not)f(k)m(eep)i(the)g(v)-5 b(alue)29 b(required)h(b)m(y)g
14909 (standard)h(phenomenol-)458 4617 y(ogy)-8 b(,)40 b(whic)m(h)f(t)m
14910 (ypically)d(ga)m(v)m(e)j(to)s(o)f(narro)m(w)g(jets.)61
14911 b(\(While)36 b(switc)m(hing)i(to)g Fq(MSTP\(3\)=1)i Fw(it)458
14912 4725 y(w)m(ork)m(ed)26 b(\014ne.\))42 b(In)24 b(the)h(mo)s(di\014ed)e
14913 (option)g Fq(MSTP\(3\)=2)k Fw(this)d(has)h(b)s(een)g(corrected,)i(to)d
14914 (b)s(et-)458 4834 y(ter)37 b(agree)f(with)f(user)i(exp)s(ectations.)54
14915 b(Since)36 b(further)g(c)m(hanges)h(w)m(ere)g(made)f(in)f(v)m(ersion)
14916 458 4942 y(5.716,)d(w)m(e)i(refer)f(b)s(elo)m(w)f(for)g(additional)e
14917 (commen)m(ts.)360 5060 y Fn(\017)48 b Fw(The)42 b(form)e(for)h
14918 Fq(PTMANO)p Fw(,)h(the)g Fj(p)1665 5075 y Fk(?)p Fl(min)1882
14919 5060 y Fw(for)f(anomalous)e(pro)s(cesses,)45 b(as)d(used)g(in)e
14920 Fq(PYINPR)458 5168 y Fw(when)33 b(pro)s(cesses)h(are)e(mixed)f(for)g
14921 Fj(\015)5 b Fw(p)32 b(or)f Fj(\015)5 b(\015)37 b Fw(ev)m(en)m(ts,)d
14922 (has)e(b)s(een)g(up)s(dated)h(to)e(matc)m(h)g(\(as)458
14923 5276 y(w)m(ell)h(as)h(can)g(b)s(e)g(exp)s(ected\))h(the)f(SaS)g(1D)f
14924 (photon)g(distributions.)70 5394 y(16.)49 b Fm(Pythia)33
14925 b Fw(v)m(ersion)g(5.716,)f(30)g(June)h(1995:)360 5512
14926 y Fn(\017)48 b Fw(The)38 b(strategy)f(for)e(the)i(c)m(hanges)h(to)e
14927 (\003)g(in)f(v)m(ersion)i(5.715)f(ab)s(o)m(v)m(e)h(ha)m(v)m(e)h(b)s
14928 (een)f(mo)s(di\014ed)458 5620 y(for)27 b(b)s(etter)h(transparency)-8
14929 b(.)43 b(No)m(w)29 b Fq(PARJ\(81\))h Fw(is)c(used)j(for)e(resonance)h
14930 (deca)m(ys)h(\(including)1841 5953 y(30)p eop
14931 %%Page: 31 37
14932 31 36 bop 458 -18 a Fw(e.g.)80 b(Z)744 -55 y Fl(0)827
14933 -18 y Fw(deca)m(y)-8 b(,)49 b(from)43 b(whic)m(h)i(it)f(is)f
14934 (determined\),)48 b(and)c Fq(PARP\(72\))j Fw(for)d(other)g(time-)458
14935 90 y(lik)m(e)e(sho)m(w)m(ers.)74 b Fq(PARJ\(81\))44 b
14936 Fw(is)e(not)g(o)m(v)m(erwritten)h Fq(for)52 b(MSTP\(3\)=2)p
14937 Fw(,)47 b(but)42 b(only)f(for)h Fq(=3)p Fw(.)458 198
14938 y(Changes)34 b(a\013ect)f Fq(PYINIT)p Fw(,)h Fq(PYEVNT)g
14939 Fw(and)f Fq(PYRESD)p Fw(.)360 316 y Fn(\017)48 b Fw(A)33
14940 b(new)f(m)m(ultiplicativ)m(e)d(factor)i(has)i(b)s(een)g(in)m(tro)s
14941 (duced)f(for)f(the)i Fj(Q)2940 280 y Fl(2)3011 316 y
14942 Fw(scale)f(c)m(hoice)h(of)e(the)458 424 y(hard)d(scattering)f(in)f
14943 Fq(PYSIGH)p Fw(,)j(a\013ecting)d(parton)h(distributions)f(and)h
14944 Fj(\013)3103 439 y Fl(s)3135 424 y Fw(,)h(see)g Fq(PARP\(34\))p
14945 Fw(.)360 542 y Fn(\017)48 b Fq(PYREMN)35 b Fw(has)e(b)s(een)g
14946 (corrected)h(for)e(o)s(ccasional)f(to)s(o)g(large)h(b)s(o)s(ost)g
14947 (factors.)360 660 y Fn(\017)48 b Fw(An)33 b(error)g(in)f
14948 Fq(PYSIGH)i Fw(for)e(pro)s(cess)i(148)d(has)i(b)s(een)h(corrected.)360
14949 778 y Fn(\017)48 b Fw(The)34 b Fq(MSTP\(62\)=1)h Fw(option)d(of)39
14950 b Fq(PYSSPA)34 b Fw(is)e(mo)s(di\014ed)f(to)h(a)m(v)m(oid)h(division)e
14951 (b)m(y)i(zero.)360 896 y Fn(\017)48 b Fw(Header)34 b(has)f(b)s(een)g
14952 (up)s(dated)g(with)f(WWW-information.)70 1013 y(17.)49
14953 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.717,)f(23)g(August)h(1995:)360
14954 1131 y Fn(\017)48 b Fq(MIN1)p Fw(,)29 b Fq(MIN2)p Fw(,)g
14955 Fq(MAX1)p Fw(,)g Fq(MAX2)p Fw(,)g Fq(MINA)e Fw(and)g
14956 Fq(MAXA)g Fw(in)f Fq(PYSIGH)i Fw(ha)m(v)m(e)f(had)g(an)f(extra)h
14957 Fq(M)g Fw(pre\014xed)458 1239 y(to)33 b(a)m(v)m(oid)f(confusion)h(with)
14958 f(F)-8 b(ortran)31 b(functions.)360 1357 y Fn(\017)48
14959 b Fw(Protect)34 b(against)d Fq(MDCY\(0,1\))k Fw(b)s(eing)d(accessed)j
14960 (in)d Fq(PYSIGH)p Fw(.)360 1475 y Fn(\017)48 b Fw(Protect)34
14961 b(against)d Fq(THB=0)j Fw(in)e Fq(PYRAND)p Fw(.)360 1593
14962 y Fn(\017)48 b Fw(Protect)34 b(against)d Fq(YSTMAX-YSTMIN)55
14963 b(=)c(0)33 b Fw(in)f Fq(PYSIGH)p Fw(.)360 1711 y Fn(\017)48
14964 b Fw(Chec)m(k)29 b(for)d(mo)m(v)m(ed)g(lepto)s(quark)h(at)f(b)s
14965 (eginning)e(of)33 b Fq(PYRESD)28 b Fw(just)f(lik)m(e)e(for)h(other)g
14966 (particles)458 1819 y(with)33 b(colour.)70 1937 y(18.)49
14967 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.718,)f(14)g(Septem)m(b)s(er)h(1995:)
14968 360 2055 y Fn(\017)48 b Fw(The)32 b(protection)d(ab)s(o)m(v)m(e)i
14969 (against)f Fq(YSTMAX-YSTMIN)54 b(=)e(0)30 b Fw(in)g Fq(PYSIGH)h
14970 Fw(turned)g(out)f(to)g(b)s(e)458 2163 y(\015a)m(w)m(ed:)51
14971 b(when)36 b(used)h(with)d(electron-inside-electron)g(structure)j
14972 (functions)e(it)f(cut)i(out)458 2271 y(part)26 b(of)f(the)h(allo)m(w)m
14973 (ed)f(phase)i(space)g(and)f(th)m(us)h(ga)m(v)m(e)f(to)s(o)f(lo)m(w)g(a)
14974 h(cross)h(section)f(for)f(sev)m(eral)458 2380 y(e+e-)33
14975 b(pro)s(cesses.)46 b(This)32 b(is)g(no)m(w)i(corrected.)70
14976 2497 y(19.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.719,)f(27)g(Octob)s
14977 (er)g(1995:)360 2615 y Fn(\017)48 b Fw(A)29 b(signi\014can)m(t)e(bug)h
14978 (has)g(b)s(een)h(corrected)g(in)f(the)g(handling)f(of)g(structure)i
14979 (functions)f(and)458 2723 y(phase)34 b(space)f(for)f(initial-state)c
14980 (radiation)i(in)i(e)2233 2687 y Fl(+)2292 2723 y Fw(e)2335
14981 2687 y Fk(\000)2395 2723 y Fw(.)43 b(This)33 b(bug)f(has)h(resulted)f
14982 (in)g(ab)s(out)458 2832 y(5\045)f(to)s(o)e(large)g(cross)i(sections.)43
14983 b(\(This)30 b(is)g(the)h(n)m(um)m(b)s(er)f(for)g(W)h(pair)e(pro)s
14984 (duction,)h(where)458 2940 y(the)38 b(problem)f(w)m(as)h(found,)h(but)f
14985 (it)f(should)g(b)s(e)h(almost)e(pro)s(cess-indep)s(enden)m(t.\))60
14986 b(Since)458 3049 y(the)35 b(bug)g(resulted)g(from)e(a)h(`doublecoun)m
14987 (ting')g(of)g(phase)h(space)h(for)e Fj(x)g Fw(v)m(ery)i(close)f(to)f
14988 (1,)458 3157 y(it)i(also)f(ga)m(v)m(e)i(to)s(o)e(little)f
14989 (initial-state)e(radiation,)j(b)m(y)i(ab)s(out)f(the)h(same)f(amoun)m
14990 (t.)54 b(The)458 3265 y(problem)28 b(is)h(sp)s(eci\014c)h(to)e(the)i
14991 (strongly)e(p)s(eak)m(ed)j(electron-inside-electron)c(distribution,)458
14992 3374 y(and)33 b(so)g(do)s(es)g(not)f(a\013ect)h(e.g.)44
14993 b(pp)33 b(ph)m(ysics.)360 3491 y Fn(\017)48 b Fw(There)g(is)e(also)g
14994 (another)g(c)m(hange)i(in)d(cross)j(section)e(calculations.)84
14995 b(In)46 b Fm(Pythia)h Fw(the)458 3600 y(cross)40 b(section)e(of)g(a)g
14996 (pro)s(cess)i(is)d(calculated)h(from)f(the)i(sum)f(of)g(cross-section)h
14997 (w)m(eigh)m(ts)458 3708 y(for)f(all)d(phase)k(space)g(p)s(oin)m(ts)e
14998 (selected)i(during)e(the)h(course)g(of)f(the)i(run.)59
14999 b(This)37 b(sum)h(is)458 3816 y(stored)h(in)e(single)g(precision,)i
15000 (whic)m(h)f(is)f(normally)f(reasonable,)j(since)f Fm(Pythia)g
15001 Fw(is)g(not)458 3925 y(really)f(in)m(tended)i(to)e(giv)m(e)h
15002 (high-precision)e(cross)j(section)f(information.)57 b(In)38
15003 b(v)m(ery)i(long)458 4033 y(runs,)f(ho)m(w)m(ev)m(er,)h(this)c(giv)m
15004 (es)h(problems)e(when)j(a)e(single)f(small)f(w)m(eigh)m(t)j(is)f(to)g
15005 (b)s(e)h(added)458 4141 y(to)h(a)f(large)f(sum)h(of)g(preceding)h(w)m
15006 (eigh)m(ts.)59 b(Bey)m(ond)39 b(a)e(certain)g(p)s(oin)m(t)g(\(of)g(the)
15007 g(order)h(of)458 4250 y(100,000)30 b(ev)m(en)m(ts)k(of)c(one)h(and)h
15008 (the)f(same)g(pro)s(cess\))h(one)f(ma)m(y)g(therefore)h(start)f(to)g
15009 (obtain)458 4358 y(to)s(o)38 b(lo)m(w)f(cross)i(sections,)i(a)c
15010 (problem)g(that)h(then)h(gradually)d(w)m(orsens.)62 b(T)-8
15011 b(o)38 b(solv)m(e)h(this)458 4466 y(problem,)k(the)f(sum)g(of)f(w)m
15012 (eigh)m(ts)i(is)e(no)m(w)h(stored)g(in)f(double)h(precision.)70
15013 b(F)-8 b(or)41 b(reasons)458 4575 y(of)d(bac)m(kw)m(ards)i
15014 (compatibilit)m(y)-8 b(,)36 b(this)h(is)h(put)g(in)f(a)h(new)g(common)m
15015 (blo)s(c)m(k,)h Fq(PYINT9)p Fw(.)61 b(The)458 4683 y(old)34
15016 b(w)m(eigh)m(t)g(information)e(is)h(still)f(\014lled)i(as)g(w)m(ell,)g
15017 (but)h(not)f(used)i(for)d(the)i(cross)g(section)458 4791
15018 y(calculation.)360 4909 y Fn(\017)48 b Fw(An)60 b(option)e(has)h(b)s
15019 (een)h(in)m(tro)s(duced)f(to)g(select)g(b)s(et)m(w)m(een)i(sev)m(eral)f
15020 (electron-inside-)458 5018 y(electron)39 b(parton)g(distributions.)60
15021 b(The)40 b(t)m(w)m(o)g(found)f(so)g(far)f(are)h(almost)e(inden)m(tical)
15022 g(|)458 5126 y(di\013erences)d(are)f(on)f(the)h(p)s(er)g(mille)c(lev)m
15023 (el.)44 b(See)33 b Fq(MSTP\(59\))p Fw(.)360 5244 y Fn(\017)48
15024 b Fw(Coulom)m(b)35 b(corrections)h(ha)m(v)m(e)h(b)s(een)f(in)m(tro)s
15025 (duced)g(as)g(an)g(option)e(for)i(W)3147 5208 y Fl(+)3206
15026 5244 y Fw(W)3307 5208 y Fk(\000)3402 5244 y Fw(pair)f(pro-)458
15027 5352 y(duction)e(\(pro)s(cess)g(25\),)g(see)g Fq(MSTP\(40\))p
15028 Fw(.)70 5470 y(20.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.720,)f(29)g
15029 (No)m(v)m(em)m(b)s(er)h(1995:)360 5588 y Fn(\017)48 b
15030 Fq(PYRAND)37 b Fw(has)d(b)s(een)i(corrected)f(so)g(that)g(a)f(VMD)g(v)m
15031 (ector)i(meson)e(is)h(reselected)g(also)f(for)1841 5953
15032 y(31)p eop
15033 %%Page: 32 38
15034 32 37 bop 458 -18 a Fw(VMD*\(direct)33 b(or)f(anomalous\).)360
15035 99 y Fn(\017)48 b Fq(PYSTFU)43 b Fw(and)d(\(mainly\))f
15036 Fq(PYSTFL)j Fw(ha)m(v)m(e)g(b)s(een)f(corrected)h(so)f(that)f(a)h(VMD)f
15037 (photon)h(is)458 208 y(not)f(mapp)s(ed)f(to)g(a)g(pion)g(for)g
15038 Fq(MSTP\(57\)=3)p Fw(,)44 b(but)c(is)f(treated)h(with)f(the)h(same)f
15039 (photon)458 316 y(parton)32 b(distributions)f(as)h(for)g(other)g
15040 Fq(MSTP\(57\))j Fw(v)-5 b(alues,)32 b(but)g(with)g(prop)s(erly)g(mo)s
15041 (di\014ed)458 424 y(b)s(eha)m(viour)40 b(for)g(small)e
15042 Fj(x)i Fw(or)f Fj(Q)p Fw(2.)66 b(A)40 b(new)h(v)-5 b(ariable)38
15043 b Fq(VINT\(232\))43 b Fw(is)c(in)m(tro)s(duced)h(for)g(a)458
15044 533 y(temp)s(orary)32 b(result.)360 650 y Fn(\017)48
15045 b Fw(The)h(matrix)e(elemen)m(t)h(for)f(pro)s(cess)j(86)d(in)g
15046 Fq(PYSIGH)j Fw(has)e(b)s(een)h(rewritten)f(with)g(the)458
15047 759 y(addition)31 b(of)h(brac)m(k)m(ets)j(to)d(a)m(v)m(oid)h(o)m(v)m
15048 (er\015o)m(w)h(in)e(in)m(termediate)f(results.)70 877
15049 y(21.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.721,)f(21)g(Marc)m(h)h
15050 (1996:)360 994 y Fn(\017)48 b Fw(New)29 b(options)f(ha)m(v)m(e)h(b)s
15051 (een)g(added)f(for)g(the)g(scale)g(of)g(QED)f(initial-state)e(parton)i
15052 (sho)m(w)m(ers)458 1103 y(in)32 b(e)615 1067 y Fl(+)675
15053 1103 y Fw(e)718 1067 y Fk(\000)777 1103 y Fw(.)44 b(See)33
15054 b Fq(MSTP\(68\))i Fw(for)d(a)g(discussion.)70 1221 y(22.)49
15055 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.722,)f(23)g(Ma)m(y)h(1996:)360
15056 1338 y Fn(\017)48 b Fw(A)31 b(bug)g(corrected)g(in)f(the)h(description)
15057 f(of)g(the)h(lo)m(w-mass)e(tail)f(of)i(the)h Fj(\015)3135
15058 1302 y Fk(\003)3175 1338 y Fj(=)p Fw(Z)e(propagator)458
15059 1447 y(in)35 b(pro)s(cesses)j(19)e(and)f(22.)53 b(Dep)s(ending)35
15060 b(on)h(cuts,)i(the)e(error)f(could)h(go)f(up)h(to)f(a)h(factor)458
15061 1555 y(of)e(ab)s(out)f(2)g(at)g(the)h(v)m(ery)i(lo)m(w)m(est)e(masses)g
15062 (\(2)g(GeV\),)f(but)h(is)f(irrelev)-5 b(an)m(t)33 b(around)g(the)h(Z)
15063 3740 1519 y Fl(0)458 1663 y Fw(p)s(eak)g(itself.)360
15064 1781 y Fn(\017)48 b Fw(Some)54 b(minor)f(up)s(dates)i(of)f(the)h
15065 (gamma-gamma)50 b(treatmen)m(t)k(in)f(accordance)j(with)458
15066 1889 y([Sc)m(h97)q(].)74 b(This)42 b(includes)h(the)g(default)f(b)s
15067 (eha)m(viour)g(of)g(the)h Fj(p)2803 1904 y Fk(?)p Fl(min)3022
15068 1889 y Fw(cuto\013)g(for)f(anoma-)458 1998 y(lous)36
15069 b(pro)s(cesses)i(and)e(the)g(reggeon)g(co)s(e\016cien)m(ts)i(of)d(the)h
15070 (total)f(cross)i(section)f(of)f(v)m(ector)458 2106 y(mesons.)70
15071 2224 y(23.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.723,)f(27)g(Ma)m(y)h
15072 (1997:)360 2342 y Fn(\017)48 b Fw(In)m(tro)s(duce)36
15073 b(lo)m(w)m(er)f(limit)c(for)j(the)i(cross-section)f(parametrizations)e
15074 (stored)i(in)f Fq(PYXTOT)p Fw(,)458 2450 y(see)g Fq(PARP\(104\))p
15075 Fw(.)360 2568 y Fn(\017)48 b Fw(Inclusion)34 b(of)f(top)g(\(and)h
15076 (fourth)f(generation\))g(quarks)i(as)e(allo)m(w)m(ed)g(remnan)m(t)h
15077 (\015a)m(v)m(our)g(in)458 2676 y(some)f(pro)s(cesses)i(that)d(in)m(v)m
15078 (olv)m(e)h(q)28 b Fn(!)f Fw(q)1921 2640 y Fk(0)1967 2676
15079 y Fw(+)22 b(W)q(,)33 b(see)h Fq(MSTP\(9\))p Fw(.)360
15080 2794 y Fn(\017)48 b Fq(PYSCAT)66 b Fw(mo)s(di\014ed)c(so)i(that)f(hea)m
15081 (vy)j(quark)e(masses)h(set)f(where)h(the)f Fq(VINT\(63\),)458
15082 2902 y(VINT\(64\))35 b Fw(v)-5 b(alues)33 b(are)f(not)h(applicable.)360
15083 3020 y Fn(\017)48 b Fw(Z)33 b(width)f(calculation)e(mo)s(di\014ed)i
15084 (for)g(initial-\015a)m(v)m(our)d(dep)s(endence)35 b(in)d
15085 Fq(PYWIDT)p Fw(.)360 3138 y Fn(\017)48 b Fq(PYSIGH)34
15086 b Fw(corrected)f(so)e(that)h(pro)s(cess)h(145)e(w)m(orks)i(also)d(for)i
15087 (e)2728 3102 y Fl(+)2787 3138 y Fw(q)g(lepto)s(quarks,)g(not)g(only)458
15088 3246 y(e)501 3210 y Fk(\000)561 3246 y Fw(q)h(ones.)360
15089 3364 y Fn(\017)48 b Fw(New)34 b(colour)e(\015o)m(w)h(option)e(33)h(in)g
15090 Fq(ICOL)i Fw(arra)m(y)-8 b(.)360 3482 y Fn(\017)48 b
15091 Fw(New)34 b(pro)s(cesses)h(106)c(and)i(107)f(in)m(tro)s(duced.)70
15092 3600 y(24.)49 b Fm(Pythia)33 b Fw(v)m(ersion)g(5.724,)f(4)g(June)h
15093 (1997:)360 3717 y Fn(\017)48 b Fw(New)34 b(pro)s(cess)g(108)e(in)m(tro)
15094 s(duced.)0 3991 y Fp(3.2)135 b(Program)46 b(Installation)0
15095 4164 y Fw(Sev)m(eral)34 b(`authorized')g(sources)h(of)e(the)i(programs)
15096 d(exist.)48 b(The)34 b(`master)g(cop)m(y')h(of)e(the)h(programs)f(is)0
15097 4272 y(the)g(one)g(found)g(on)f(m)m(y)h(W)-8 b(orld)31
15098 b(Wide)i(W)-8 b(eb)33 b(homepage)0 4381 y Fq(http://thep.lu.se/tf2/sta)
15099 q(ff/t)q(orb)q(jorn)q(/Wel)q(come)q(.ht)q(ml)0 4489 y
15100 Fw(There)h(y)m(ou)f(ha)m(v)m(e:)130 4680 y Fq(jetset74.f)263
15101 b Fw(the)33 b Fm(Jetset)e Fw(co)s(de,)130 4789 y Fq(pythia57.f)263
15102 b Fw(the)33 b Fm(Pythia)g Fw(co)s(de,)130 4897 y Fq(pythia57.tex)161
15103 b Fw(this)32 b(common)f Fm(Pythia/Jetset)h Fw(man)m(ual,)f(and)130
15104 5005 y Fq(update57.notes)59 b Fw(plain)31 b(text)i(up)s(date)g(notes)g
15105 (to)f(the)h(man)m(ual.)0 5197 y(In)27 b(addition)f(to)h(these,)i(one)f
15106 (ma)m(y)e(also)h(\014nd)g(older)g(v)m(ersions)h(of)e(the)i(program)e
15107 (and)h(man)m(uals,)g(sample)0 5305 y(main)k(programs)h(and)g(other)h
15108 (pieces)g(of)f(related)h(soft)m(w)m(are,)g(and)g(other)g(ph)m(ysics)h
15109 (pap)s(ers.)146 5414 y(The)45 b(lac)m(k)e(of)g(stable)g(v)m(ersions)h
15110 (ma)m(y)f(mak)m(e)h(it)e(less)i(con)m(v)m(enien)m(t)h(to)e(rely)g(on)g
15111 (the)h(ab)s(o)m(v)m(e)g(\014les.)0 5522 y(New)e(v)m(ersions)g(are)g(in)
15112 m(tro)s(duced)f(in)f(the)i(general)f(distribution)e(of)i(the)g(CERN)h
15113 (program)e(library)-8 b(,)0 5630 y(ma)m(yb)s(e)28 b(once)h(a)e(y)m
15114 (ear.)43 b(These)30 b(v)m(ersions)f(are)f(b)s(etter)g(c)m(hec)m(k)m(ed)
15115 j(b)s(efore)d(release,)h(and)f(should)g(b)s(e)g(useful)1841
15116 5953 y(32)p eop
15117 %%Page: 33 39
15118 33 38 bop 0 -18 a Fw(for)38 b(most)g(applications.)60
15119 b(Ho)m(w)m(ev)m(er,)43 b(clearly)-8 b(,)39 b(they)h(ma)m(y)e(b)s(e)h
15120 (less)g(up-to-date.)62 b(Read)39 b(the)g(CERN)0 90 y(Computer)e
15121 (Newsletter)g(for)f(announcemen)m(ts.)57 b(Copies)37
15122 b(of)f(the)h(programs)e(are)i(also)e(a)m(v)-5 b(ailable)34
15123 b(via)0 198 y(anon)m(ymous)f(ftp,)g(e.g.)43 b(from)32
15124 b(the)h(asisftp)f(serv)m(er)i(at)e(CERN.)146 307 y(The)45
15125 b(programs)e(are)h(written)g(en)m(tirely)g(in)f(standard)h(F)-8
15126 b(ortran)43 b(77,)k(and)d(should)g(run)g(on)g(an)m(y)0
15127 415 y(mac)m(hine)f(with)f(suc)m(h)j(a)d(compiler.)73
15128 b(T)-8 b(o)44 b(a)e(\014rst)i(appro)m(ximation,)f(program)f
15129 (compilation)e(should)0 523 y(therefore)33 b(b)s(e)g(straigh)m(tforw)m
15130 (ard.)146 632 y(Unfortunately)-8 b(,)25 b(exp)s(erience)g(with)e(man)m
15131 (y)g(di\013eren)m(t)h(compilers)d(has)j(b)s(een)g(uniform:)37
15132 b(the)24 b(options)0 740 y(a)m(v)-5 b(ailable)34 b(for)h(obtaining)g
15133 (optimized)f(co)s(de)j(actually)e(pro)s(duce)i(erroneous)g(co)s(de)g
15134 (\(e.g.)54 b(op)s(erations)0 848 y(inside)28 b Fq(DO)h
15135 Fw(lo)s(ops)e(are)i(mo)m(v)m(ed)g(out)f(b)s(efore)h(them,)g(where)h
15136 (some)e(of)g(the)h(v)-5 b(ariables)27 b(ha)m(v)m(e)j(not)e(y)m(et)i(b)s
15137 (een)0 957 y(prop)s(erly)k(set\).)49 b(Therefore)35 b(the)f(general)g
15138 (advice)g(is)g(to)g(use)h(a)e(lo)m(w)h(optimization)d(lev)m(el.)47
15139 b(Note)35 b(that)0 1065 y(this)d(is)g(often)h(not)f(the)h(default)f
15140 (setting.)146 1173 y Fq(SAVE)37 b Fw(statemen)m(ts)f(ha)m(v)m(e)h(b)s
15141 (een)f(included)e(in)h(accordance)h(with)f(the)h(F)-8
15142 b(ortran)34 b(standard.)52 b(Since)0 1282 y(most)28 b(ordinary)g(mac)m
15143 (hines)h(tak)m(e)g Fq(SAVE)h Fw(for)e(gran)m(ted,)i(this)f(part)f(is)g
15144 (not)h(particularly)d(w)m(ell)i(tried)h(out,)0 1390 y(ho)m(w)m(ev)m
15145 (er.)146 1498 y(All)23 b(default)h(settings)h(and)f(particle)f(and)i
15146 (pro)s(cess)h(data)e(are)g(stored)h(in)f Fq(BLOCK)53
15147 b(DATA)f(LUDATA)26 b Fw(for)0 1607 y Fm(Jetset)35 b Fw(and)g
15148 Fq(BLOCK)53 b(DATA)f(PYDATA)37 b Fw(for)e Fm(Pythia)p
15149 Fw(.)53 b(These)37 b(subprograms)f(m)m(ust)g(b)s(e)f(link)m(ed)h(for)f
15150 (a)0 1715 y(prop)s(er)25 b(functioning)e(of)i(the)g(other)g(routines.)
15151 41 b(On)25 b(some)f(mac)m(hines)h(this)g(is)f(not)h(done)g
15152 (automatically)0 1823 y(but)f(m)m(ust)g(b)s(e)f(forced)h(b)m(y)h(y)m
15153 (ou,)h(in)d(particular)e(if)30 b Fm(Jetset)22 b Fw(and)i
15154 Fm(Pythia)g Fw(are)f(main)m(tained)f(as)i(libraries)0
15155 1932 y(from)34 b(whic)m(h)i(routines)f(are)h(to)f(b)s(e)g(loaded)g
15156 (only)g(when)h(they)g(are)g(needed.)53 b(In)36 b(this)f(connection)g(w)
15157 m(e)0 2040 y(note)47 b(that)g(the)g(library)f(approac)m(h)h(do)s(es)h
15158 (not)e(giv)m(e)h(an)m(y)h(signi\014can)m(t)e(space)i(adv)-5
15159 b(an)m(tages)48 b(o)m(v)m(er)g(a)0 2148 y(loading)34
15160 b(of)i(the)h(pac)m(k)-5 b(ages)37 b(as)g(a)f(whole,)h(since)g(a)f
15161 (normal)e(run)i(will)e(call)h(on)h(most)g(of)g(the)h(routines)0
15162 2257 y(an)m(yw)m(a)m(y)-8 b(,)35 b(directly)c(or)i(indirectly)-8
15163 b(.)146 2365 y(Since)46 b(most)f(mac)m(hines)g(in)f(curren)m(t)j(use)f
15164 (are)g(32-bit)d(ones,)50 b(this)44 b(is)h(the)h(precision)f(normally)0
15165 2473 y(assumed.)52 b(A)35 b(few)h(pieces)g(of)e(co)s(de)i(ha)m(v)m(e)g
15166 (therefore)g(had)f(to)g(b)s(e)g(written)g(in)f(double)h(precision.)51
15167 b(As)0 2582 y(a)34 b(rule)h(of)f(th)m(um)m(b,)i(double-precision)d(v)-5
15168 b(ariables)34 b(ha)m(v)m(e)i(as)f(\014rst)g(c)m(haracter)g
15169 Fq(D)p Fw(,)g(but)g(there)h(are)e(a)h(few)0 2690 y(exceptions.)146
15170 2798 y(F)-8 b(or)28 b(applications)e(at)i(v)m(ery)i(high)e(energies,)i
15171 (suc)m(h)g(as)e(LHC,)h(the)g(use)h(of)e(single)f(precision)h(for)g(an)m
15172 (y)0 2907 y(real)h(v)-5 b(ariable)29 b(is)h(a)g(problem.)42
15173 b(It)30 b(migh)m(t)f(then)i(b)s(e)g(necessary)h(to)e(rewrite)h(the)g
15174 (program)e(completely)-8 b(,)0 3015 y(i.e.)69 b(to)40
15175 b(ha)m(v)m(e)j(a)d(declaration)g Fq(IMPLICIT)53 b(DOUBLE)g
15176 (PRECISION\(A-H,O-Z\))46 b Fw(at)41 b(the)g(b)s(eginning)f(of)0
15177 3123 y(eac)m(h)d(subprogram,)h(and)e(to)g(c)m(hange)i(all)c(real)i
15178 (constan)m(ts)i(to)e(double)g(precision.)55 b(Needless)38
15179 b(to)f(sa)m(y)-8 b(,)0 3232 y(the)38 b(latter)e(is)h(a)f(ma)5
15180 b(jor)37 b(undertaking.)57 b(In)38 b(some)f(cases,)i(shortcuts)g(are)e
15181 (a)m(v)-5 b(ailable.)55 b(On)37 b(the)h(IBM,)0 3340 y(for)i(instance,)j
15182 (the)e Fq(AUTODBL)i Fw(compiler)c(option)g(for)i(automatic)d(precision)
15183 i(doubling)g(w)m(orks)i(\014ne,)0 3448 y(pro)m(vided)26
15184 b(only)f(that)g(an)h(ev)m(en)h(n)m(um)m(b)s(er)f(of)f(in)m(tegers)h
15185 (precede)h(real)d(n)m(um)m(b)s(ers)j(in)e(common)f(blo)s(c)m(ks.)41
15186 b(In)0 3557 y Fm(Jetset)25 b Fw(y)m(ou)i(therefore)g(need)h(to)e(in)m
15187 (tro)s(duce)g(an)h(additional)c(in)m(teger)k(v)-5 b(ariable)24
15188 b(\()p Fq(NPAD)p Fw(,)k(sa)m(y\))f(directly)0 3665 y(after)i
15189 Fq(N)g Fw(in)g(the)h Fq(LUJETS)g Fw(common)e(blo)s(c)m(k,)i(and)g(in)e
15190 Fm(Pythia)h Fw(an)h(additional)c(in)m(teger)j(\()p Fq(MSEPAD)p
15191 Fw(\))i(after)0 3774 y Fq(MSEL)24 b Fw(in)e(the)h Fq(PYSUBS)h
15192 Fw(common)e(blo)s(c)m(k.)40 b(Some)22 b(pieces)i(of)e(co)s(de)i(will)c
15193 (then)j(actually)f(run)h(in)f(quadruple)0 3882 y(precision.)146
15194 3990 y(A)47 b(test)g(program,)i Fq(LUTEST)p Fw(,)f(is)e(included)g(in)g
15195 (the)h Fm(Jetset)f Fw(pac)m(k)-5 b(age.)86 b(It)47 b(is)f(disguised)g
15196 (as)h(a)0 4099 y(subroutine,)33 b(so)g(y)m(ou)g(ha)m(v)m(e)h(to)e(run)h
15197 (a)f(main)f(program)308 4261 y Fq(CALL)52 b(LUTEST\(1\))308
15198 4369 y(END)0 4532 y Fw(This)34 b(program)e(will)f(generate)j(six)g(h)m
15199 (undred)h(ev)m(en)m(ts)h(of)d(di\013eren)m(t)g(t)m(yp)s(es,)j(under)e
15200 (a)f(v)-5 b(ariet)m(y)34 b(of)f(con-)0 4640 y(ditions.)68
15201 b(If)48 b Fm(Jetset)41 b Fw(has)g(not)g(b)s(een)h(prop)s(erly)f
15202 (installed,)h(this)f(program)f(is)h(lik)m(ely)f(to)h(crash,)j(or)0
15203 4748 y(at)35 b(least)g(generate)i(a)e(n)m(um)m(b)s(er)h(of)f(erroneous)
15204 i(ev)m(en)m(ts.)55 b(This)35 b(will)f(then)i(clearly)f(b)s(e)g(mark)m
15205 (ed)h(in)f(the)0 4857 y(output,)j(whic)m(h)f(otherwise)h(will)c(just)j
15206 (con)m(tain)g(a)f(few)i(sample)e(ev)m(en)m(t)i(listings)d(and)i(a)g
15207 (table)f(of)g(the)0 4965 y(n)m(um)m(b)s(er)k(of)g(di\013eren)m(t)g
15208 (particles)f(pro)s(duced.)66 b(T)-8 b(o)40 b(switc)m(h)g(o\013)g(the)g
15209 (output)g(of)f(normal)f(ev)m(en)m(ts)k(and)0 5073 y(\014nal)27
15210 b(table,)i(use)g Fq(LUTEST\(0\))h Fw(instead)e(of)35
15211 b Fq(LUTEST\(1\))p Fw(.)44 b(The)29 b(\014nal)e(tally)g(of)g(errors)i
15212 (detected)h(should)0 5182 y(read)j(0.)146 5290 y(In)42
15213 b(exactly)f(the)h(same)f(v)m(ein,)j(a)d(test)g(program)f
15214 Fq(PYTEST)j Fw(comes)e(with)g(the)h Fm(Pythia)f Fw(pac)m(k)-5
15215 b(age.)0 5399 y(Y)d(ou)32 b(then)i(ha)m(v)m(e)g(to)e(run)h(a)f(program)
15216 308 5561 y Fq(CALL)52 b(PYTEST\(1\))308 5669 y(END)1841
15217 5953 y Fw(33)p eop
15218 %%Page: 34 40
15219 34 39 bop 0 -18 a Fw(As)39 b(b)s(efore)f(the)h(alternativ)m(e)f
15220 Fq(PYTEST\(0\))i Fw(will)d(giv)m(e)h(a)g(less)h(extensiv)m(e)h
15221 (listing.)59 b(No)38 b(errors)h(should)0 90 y(app)s(ear)32
15222 b(during)g(execution.)0 364 y Fp(3.3)135 b(Program)46
15223 b(Philosoph)l(y)0 536 y Fw(The)36 b(Mon)m(te)f(Carlo)f(programs)f(are)i
15224 (built)e(as)i(sla)m(v)m(e)g(systems,)i(i.e.)49 b(y)m(ou,)36
15225 b(the)f(user,)h(ha)m(v)m(e)g(to)e(supply)0 645 y(the)41
15226 b(main)e(program.)66 b(F)-8 b(rom)39 b(this)h(the)h(v)-5
15227 b(arious)40 b(subroutines)i(are)e(called)g(on)g(to)g(execute)j(sp)s
15228 (eci\014c)0 753 y(tasks,)36 b(after)f(whic)m(h)g(con)m(trol)e(is)i
15229 (returned)g(to)f(the)h(main)e(program.)48 b(Some)34 b(of)g(these)i
15230 (tasks)g(ma)m(y)e(b)s(e)0 861 y(v)m(ery)g(trivial,)c(whereas)k(the)f
15231 (`high-lev)m(el')e(routines)i(b)m(y)g(themselv)m(es)h(ma)m(y)f(mak)m(e)
15232 f(a)h(large)e(n)m(um)m(b)s(er)i(of)0 970 y(subroutine)k(calls.)55
15233 b(Man)m(y)38 b(routines)e(are)h(not)g(in)m(tended)g(to)g(b)s(e)g
15234 (called)e(directly)i(b)m(y)g(y)m(ou,)i(but)e(only)0 1078
15235 y(from)31 b(higher-lev)m(el)h(routines)g(suc)m(h)i(as)f
15236 Fq(LUEXEC)p Fw(,)h Fq(LUEEVT)p Fw(,)g Fq(PYINIT)g Fw(or)f
15237 Fq(PYEVNT)p Fw(.)146 1187 y(Basically)-8 b(,)36 b(this)g(means)h(that)f
15238 (there)h(are)g(three)g(w)m(a)m(ys)i(b)m(y)e(whic)m(h)g(y)m(ou)g(comm)m
15239 (unicate)f(with)g(the)0 1295 y(programs.)58 b(First,)38
15240 b(b)m(y)h(setting)e(common)f(blo)s(c)m(k)i(v)-5 b(ariables,)37
15241 b(y)m(ou)i(sp)s(ecify)f(the)g(details)f(of)g(ho)m(w)h(the)0
15242 1403 y(programs)32 b(should)g(p)s(erform)g(sp)s(eci\014c)i(tasks,)g
15243 (i.e.)43 b(whic)m(h)33 b(subpro)s(cesses)j(should)d(b)s(e)g(generated)g
15244 (\(for)0 1512 y Fm(Pythia)p Fw(\),)27 b(whic)m(h)f(particle)e(masses)i
15245 (should)f(b)s(e)h(assumed,)h(whic)m(h)f(coupling)e(constan)m(ts)j
15246 (used,)h(whic)m(h)0 1620 y(fragmen)m(tation)39 b(scenarios,)44
15247 b(and)d(so)g(on)g(with)g(h)m(undreds)i(of)e(options)f(and)h
15248 (parameters.)69 b(Second,)0 1728 y(b)m(y)44 b(calling)c(subroutines)j
15249 (y)m(ou)h(tell)d(the)i(programs)f(to)g(generate)i(ev)m(en)m(ts)h
15250 (according)d(to)g(the)h(rules)0 1837 y(established)37
15251 b(ab)s(o)m(v)m(e.)57 b(Normally)34 b(there)k(are)e(few)i(subroutine)f
15252 (argumen)m(ts,)h(and)f(those)g(are)g(usually)0 1945 y(related)27
15253 b(to)g(details)f(of)h(the)g(ph)m(ysical)g(situation,)g(suc)m(h)i(as)e
15254 (what)h(c.m.)41 b(energy)29 b(to)e(assume)g(for)g(ev)m(en)m(ts.)0
15255 2053 y(Third,)41 b(y)m(ou)f(can)g(either)f(lo)s(ok)g(at)g(the)h(common)
15256 e(blo)s(c)m(k)h Fq(LUJETS)i Fw(to)e(extract)h(information)d(on)i(the)0
15257 2162 y(generated)28 b(ev)m(en)m(t,)j(or)c(y)m(ou)i(can)e(call)f(on)i(v)
15258 -5 b(arious)27 b(functions)g(and)h(subroutines)h(to)e(analyse)h(the)g
15259 (ev)m(en)m(t)0 2270 y(further)33 b(for)f(y)m(ou.)146
15260 2378 y(It)42 b(should)f(b)s(e)g(noted)h(that,)h(while)e(the)g(ph)m
15261 (ysics)i(con)m(ten)m(t)g(is)d(ob)m(viously)h(at)g(the)h(cen)m(tre)h(of)
15262 d(at-)0 2487 y(ten)m(tion,)i(the)e Fm(Jetset/Pythia)f
15263 Fw(pac)m(k)-5 b(age)41 b(also)e(con)m(tains)h(a)g(v)m(ery)h(extensiv)m
15264 (e)h(setup)f(of)f(auxiliary)0 2595 y(service)d(routines.)52
15265 b(The)37 b(hop)s(e)f(is)f(that)g(this)h(will)d(pro)m(vide)j(a)g
15266 (comfortable)d(w)m(orking)j(en)m(vironmen)m(t,)0 2703
15267 y(where)c(not)f(only)f(ev)m(en)m(ts)j(are)e(generated,)h(but)f(where)i
15268 (y)m(ou)e(also)f(linger)f(on)i(to)g(p)s(erform)e(a)i(lot)f(of)g(the)0
15269 2812 y(subsequen)m(t)39 b(studies.)56 b(Of)35 b(course,)k(for)c
15270 (detailed)h(studies,)i(it)d(ma)m(y)h(b)s(e)g(necessary)j(to)d(in)m
15271 (terface)g(the)0 2920 y(output)d(directly)f(to)g(a)g(detector)i(sim)m
15272 (ulation)29 b(program.)146 3028 y(The)f(general)e(rule)g(is)g(that)h
15273 (all)d(routines)j(ha)m(v)m(e)h(names)f(that)f(are)h(six)f(c)m
15274 (haracters)i(long,)f(b)s(eginning)0 3137 y(with)34 b
15275 Fq(LU)i Fw(for)e Fm(Jetset)f Fw(routines)i(and)g Fq(PY)g
15276 Fw(for)f Fm(Pythia)h Fw(ones.)51 b(Real-v)-5 b(alued)33
15277 b(functions)i(in)f Fm(Jetset)0 3245 y Fw(b)s(egin)44
15278 b(with)g Fq(UL)h Fw(instead.)80 b(There)46 b(are)f(three)g(exceptions)h
15279 (to)f(b)s(oth)f(the)h(length)f(and)h(the)g(initial)0
15280 3353 y(c)m(haracter)34 b(rules:)45 b Fq(KLU)p Fw(,)34
15281 b Fq(PLU)g Fw(and)g Fq(RLU)p Fw(.)g(The)g(former)e(t)m(w)m(o)i
15282 (functions)g(are)f(strongly)g(coupled)g(to)g(the)0 3462
15283 y Fq(K)f Fw(and)f Fq(P)h Fw(matrices)e(in)h(the)h Fq(LUJETS)g
15284 Fw(common)e(blo)s(c)m(k,)i(the)g(latter)e(uses)j Fq(R)f
15285 Fw(to)f(emphasize)g(the)h(r^)-49 b(ole)30 b(as)0 3570
15286 y(a)g(random-n)m(um)m(b)s(er)f(generator.)42 b(Also)30
15287 b(common)e(blo)s(c)m(k)i(names)g(are)g(six)g(c)m(haracters)h(long)d
15288 (and)i(start)0 3678 y(with)i Fq(LU)h Fw(or)f Fq(PY)p
15289 Fw(.)146 3787 y(On)44 b(the)h(issue)f(of)f(initialization,)f
15290 Fm(Jetset)g Fw(and)i Fm(Pythia)g Fw(b)s(eha)m(v)m(e)i(quite)e
15291 (di\013eren)m(tly)-8 b(.)77 b(Most)0 3895 y Fm(Jetset)31
15292 b Fw(routines)g(w)m(ork)i(without)e(an)m(y)i(initialization)26
15293 b(\(except)34 b(for)d(the)h(one)g(implied)d(b)m(y)k(the)f(pres-)0
15294 4003 y(ence)c(of)k Fq(BLOCK)53 b(DATA)f(LUDATA)p Fw(,)28
15295 b(see)g(ab)s(o)m(v)m(e\),)g(i.e.)41 b(eac)m(h)28 b(ev)m(en)m(t)g(and)e
15296 (eac)m(h)i(task)f(stand)g(on)f(their)g(o)m(wn.)0 4112
15297 y(Curren)m(t)38 b(common)d(blo)s(c)m(k)i(v)-5 b(alues)36
15298 b(are)h(used)h(to)e(p)s(erform)g(the)h(tasks)g(in)f(sp)s(eci\014c)i(w)m
15299 (a)m(ys,)h(and)e(those)0 4220 y(rules)i(can)g(b)s(e)g(c)m(hanged)h
15300 (from)d(one)i(ev)m(en)m(t)i(to)d(the)h(next)h(\(or)f(ev)m(en)h(within)e
15301 (the)h(generation)f(of)g(one)0 4328 y(and)30 b(the)h(same)f(ev)m(en)m
15302 (t\))i(without)e(an)m(y)h(p)s(enalt)m(y)-8 b(.)43 b(The)31
15303 b(random-n)m(um)m(b)s(er)e(generator)i(is)e(initialized)e(at)0
15304 4437 y(the)33 b(\014rst)g(call,)f(but)h(usually)f(this)g(is)g
15305 (transparen)m(t.)45 b(Therefore)34 b(the)f(t)m(w)m(o)h
15306 Fm(Jetset)d Fw(routines)i Fq(LUEEVT)0 4545 y Fw(\(and)f(some)f(of)g
15307 (the)h(routines)g(called)e(b)m(y)j(it\))e(and)g Fq(LUONIA)i
15308 Fw(are)f(basically)e(the)i(only)f(ones)i(to)e(con)m(tain)0
15309 4653 y(some)j(elemen)m(ts)g(of)g(initialization,)29 b(where)35
15310 b(there)g(are)f(a)f(few)i(adv)-5 b(an)m(tages)34 b(if)f(ev)m(en)m(ts)k
15311 (are)d(generated)0 4762 y(in)e(a)g(coheren)m(t)i(fashion,)e(but)h(ev)m
15312 (en)h(here)f(the)g(p)s(enalt)m(y)g(for)f(not)g(doing)g(it)f(is)i
15313 (small.)146 4870 y(In)f Fm(Pythia)p Fw(,)g(on)g(the)g(other)g(hand,)g
15314 (a)g(sizeable)f(amoun)m(t)g(of)g(initialization)c(is)k(p)s(erformed)g
15315 (in)g(the)0 4979 y Fq(PYINIT)h Fw(call,)d(and)i(thereafter)g(the)g(ev)m
15316 (en)m(ts)i(generated)e(b)m(y)i Fq(PYEVNT)f Fw(all)d(ob)s(ey)i(the)g
15317 (rules)f(established)0 5087 y(at)e(that)h(p)s(oin)m(t.)41
15318 b(Therefore)30 b(common)d(blo)s(c)m(k)i(v)-5 b(ariables)27
15319 b(that)i(sp)s(ecify)g(metho)s(ds)g(to)f(b)s(e)h(used)h(ha)m(v)m(e)g(to)
15320 0 5195 y(b)s(e)36 b(set)h(b)s(efore)f(the)g Fq(PYINIT)i
15321 Fw(call)c(and)i(then)g(not)g(b)s(e)g(c)m(hanged)h(afterw)m(ards,)h
15322 (with)e(few)g(exceptions.)0 5304 y(Of)h(course,)i(it)d(is)h(p)s
15323 (ossible)g(to)f(p)s(erform)h(sev)m(eral)g Fq(PYINIT)i
15324 Fw(calls)d(in)g(the)i(same)f(run,)i(but)e(there)h(is)f(a)0
15325 5412 y(signi\014can)m(t)h(time)g(o)m(v)m(erhead)j(in)m(v)m(olv)m(ed,)g
15326 (so)e(this)g(is)f(not)h(something)f(one)h(w)m(ould)g(do)g(for)g(eac)m
15327 (h)h(new)0 5520 y(ev)m(en)m(t.)146 5629 y(Apart)28 b(from)e(writing)g
15328 (a)i(title)e(page,)i(giving)e(a)i(brief)f(initialization)22
15329 b(information,)j(prin)m(ting)i(error)1841 5953 y(34)p
15330 eop
15331 %%Page: 35 41
15332 35 40 bop 0 -18 a Fw(messages)49 b(if)e(need)i(b)s(e,)j(and)c(resp)s
15333 (onding)g(to)g(explicit)f(requests)j(for)d(listings,)j(all)c(tasks)j
15334 (of)f(the)0 90 y(programs)40 b(are)h(p)s(erformed)f(`silen)m(tly'.)67
15335 b(All)39 b(output)i(is)f(directed)h(to)g(unit)f Fq(MSTU\(11\))p
15336 Fw(,)45 b(b)m(y)c(default)0 198 y(6,)e(and)g(it)e(is)h(up)g(to)g(y)m
15337 (ou)h(to)f(set)h(this)f(unit)g(op)s(en)g(for)g(write.)60
15338 b(The)39 b(only)f(exceptions)i(are)e Fq(RLUGET)p Fw(,)0
15339 307 y Fq(RLUSET)c Fw(and)e Fq(LUUPDA)h Fw(where,)h(for)d(ob)m(vious)i
15340 (reasons,)g(the)f(input/output)g(\014le)g(n)m(um)m(b)s(er)g(is)g(sp)s
15341 (eci\014ed)0 415 y(at)g(eac)m(h)i(call.)41 b(Here)34
15342 b(y)m(ou)f(again)e(ha)m(v)m(e)j(to)e(see)i(to)e(it)g(that)g(prop)s(er)h
15343 (read/write)f(access)i(is)f(set.)146 523 y(The)42 b(programs)e(are)h
15344 (extremely)g(v)m(ersatile,)h(but)f(the)g(price)g(to)f(b)s(e)h(paid)f
15345 (for)h(this)f(is)g(ha)m(ving)h(a)0 632 y(large)36 b(n)m(um)m(b)s(er)h
15346 (of)g(adjustable)f(parameters)h(and)g(switc)m(hes)i(for)d(alternativ)m
15347 (e)g(mo)s(des)h(of)g(op)s(eration.)0 740 y(No)e(single)f(user)i(is)e
15348 (ev)m(er)j(lik)m(ely)c(to)i(need)h(more)e(than)h(a)g(fraction)f(of)g
15349 (the)i(a)m(v)-5 b(ailable)32 b(options.)50 b(Since)0
15350 848 y(all)31 b(these)k(parameters)e(and)h(switc)m(hes)g(are)g(assigned)
15351 f(sensible)h(default)e(v)-5 b(alues,)34 b(there)g(is)f(no)g(reason)0
15352 957 y(to)f(w)m(orry)i(ab)s(out)e(them)g(un)m(til)f(the)i(need)h
15353 (arises.)146 1065 y(Unless)c(explicitly)d(stated)j(\(or)f(ob)m(vious)g
15354 (from)f(the)h(con)m(text\))h(all)d(switc)m(hes)k(and)e(parameters)g
15355 (can)0 1173 y(b)s(e)40 b(c)m(hanged)g(indep)s(enden)m(tly)h(of)e(eac)m
15356 (h)h(other.)65 b(One)40 b(should)f(note,)j(ho)m(w)m(ev)m(er,)i(that)39
15357 b(if)g(only)g(a)g(few)0 1282 y(switc)m(hes/parameters)i(are)e(c)m
15358 (hanged,)j(this)d(ma)m(y)g(result)g(in)g(an)g(arti\014cially)d(bad)j
15359 (agreemen)m(t)h(with)0 1390 y(data.)65 b(Man)m(y)41 b(disagreemen)m(ts)
15360 g(can)f(often)g(b)s(e)g(cured)h(b)m(y)g(a)e(subsequen)m(t)k(retuning)d
15361 (of)g(some)f(other)0 1498 y(parameters)32 b(of)f(the)i(mo)s(del,)d(in)i
15362 (particular)e(those)j(that)e(w)m(ere)j(once)e(determined)g(b)m(y)h(a)f
15363 (comparison)0 1607 y(with)d(data)g(in)g(the)h(con)m(text)h(of)e(the)h
15364 (default)e(scenario.)43 b(F)-8 b(or)29 b(example,)g(for)g(e)2834
15365 1571 y Fl(+)2894 1607 y Fw(e)2937 1571 y Fk(\000)3025
15366 1607 y Fw(annihilation,)e(suc)m(h)0 1715 y(a)38 b(retuning)f(could)h
15367 (in)m(v)m(olv)m(e)g(one)h(QCD)e(parameter)h(\()p Fj(\013)2096
15368 1730 y Fl(s)2166 1715 y Fw(or)f(\003\),)j(the)e(longitudinal)c(fragmen)
15369 m(tation)0 1823 y(function,)e(and)h(the)g(a)m(v)m(erage)g(transv)m
15370 (erse)i(fragmen)m(tation)c(momen)m(tum.)146 1932 y(The)36
15371 b(programs)d(con)m(tain)h(a)g(n)m(um)m(b)s(er)h(of)e(c)m(hec)m(ks)k
15372 (that)d(requested)j(pro)s(cesses)f(ha)m(v)m(e)g(b)s(een)f(imple-)0
15373 2040 y(men)m(ted,)c(that)g(\015a)m(v)m(ours)g(sp)s(eci\014ed)h(for)d
15374 (jet)i(systems)h(mak)m(e)e(sense,)j(that)d(the)h(energy)g(is)f
15375 (su\016cien)m(t)i(to)0 2148 y(allo)m(w)i(hadronization,)h(that)g(the)h
15376 (memory)e(space)j(in)e Fq(LUJETS)i Fw(is)e(large)f(enough,)j(etc.)53
15377 b(If)36 b(an)m(ything)0 2257 y(go)s(es)g(wrong)f(that)h(the)f(program)g
15378 (can)g(catc)m(h)i(\(ob)m(viously)e(this)g(ma)m(y)h(not)f(alw)m(a)m(ys)h
15379 (b)s(e)g(p)s(ossible\),)g(an)0 2365 y(error)i(message)i(will)c(b)s(e)j
15380 (prin)m(ted)f(and)h(the)g(treatmen)m(t)g(of)f(the)h(corresp)s(onding)f
15381 (ev)m(en)m(t)j(will)36 b(b)s(e)j(cut)0 2473 y(short.)51
15382 b(In)35 b(serious)g(cases,)i(the)f(program)d(will)g(ab)s(ort.)50
15383 b(As)35 b(long)f(as)h(no)g(error)g(messages)h(app)s(ear)f(on)0
15384 2582 y(the)e(output,)g(it)e(ma)m(y)i(not)f(b)s(e)h(w)m(orth)m(while)f
15385 (to)g(lo)s(ok)g(in)m(to)f(the)i(rules)g(for)f(error)g(c)m(hec)m(king,)i
15386 (but)f(if)e(but)0 2690 y(one)39 b(message)f(app)s(ears,)i(it)e(should)g
15387 (b)s(e)g(enough)h(cause)g(for)f(alarm)e(to)i(receiv)m(e)h(prompt)f
15388 (atten)m(tion.)0 2798 y(Also)h(w)m(arnings)h(are)g(sometimes)f(prin)m
15389 (ted.)65 b(These)41 b(are)f(less)g(serious,)i(and)e(the)g(exp)s
15390 (erienced)i(user)0 2907 y(migh)m(t)g(delib)s(erately)g(do)i(op)s
15391 (erations)f(whic)m(h)h(go)f(against)f(the)i(rules,)j(but)d(still)d(can)
15392 j(b)s(e)g(made)f(to)0 3015 y(mak)m(e)38 b(sense)h(in)e(their)g(con)m
15393 (text.)60 b(Only)37 b(the)h(\014rst)g(few)g(w)m(arnings)g(will)d(b)s(e)
15394 j(prin)m(ted,)h(thereafter)f(the)0 3123 y(program)33
15395 b(will)f(b)s(e)j(quiet.)50 b(By)35 b(default,)f(the)h(program)e(is)h
15396 (set)h(to)g(stop)g(execution)g(after)f(ten)h(errors,)0
15397 3232 y(after)d(prin)m(ting)g(the)h(last)e(erroneous)j(ev)m(en)m(t.)146
15398 3340 y(It)25 b(m)m(ust)g(b)s(e)f(emphasized)h(that)f(not)h(all)d
15399 (errors)j(will)d(b)s(e)j(caugh)m(t.)41 b(In)25 b(particular,)g(one)f
15400 (tric)m(ky)h(ques-)0 3448 y(tion)39 b(is)h(what)g(happ)s(ens)i(if)d(an)
15401 h(in)m(teger-v)-5 b(alued)39 b(common)g(blo)s(c)m(k)h(switc)m(h)h(or)f
15402 (subroutine/function)0 3557 y(argumen)m(t)f(is)g(used)i(with)e(a)h(v)-5
15403 b(alue)39 b(that)g(is)g(not)h(de\014ned.)66 b(In)39 b(some)h
15404 (subroutine)g(calls,)g(a)f(prompt)0 3665 y(return)e(will)e(b)s(e)i(exp)
15405 s(edited,)i(but)e(in)f(most)g(instances)h(the)h(subsequen)m(t)h(action)
15406 d(is)h(en)m(tirely)f(unpre-)0 3774 y(dictable,)c(and)h(often)g
15407 (completely)f(ha)m(ywire.)45 b(The)34 b(same)f(go)s(es)g(for)g(real-v)
15408 -5 b(alued)31 b(v)-5 b(ariables)32 b(that)g(are)0 3882
15409 y(assigned)40 b(v)-5 b(alues)40 b(outside)g(the)h(ph)m(ysically)e
15410 (sensible)h(range.)66 b(One)41 b(example)e(will)f(su\016ce)j(here:)60
15411 b(if)0 3990 y Fq(PARJ\(2\))37 b Fw(is)d(de\014ned)i(as)f(the)g(s)p
15412 Fj(=)p Fw(u)g(suppression)h(factor,)f(a)g(v)-5 b(alue)34
15413 b Fj(>)d Fw(1)k(will)d(not)j(giv)m(e)g(more)f(profuse)0
15414 4099 y(pro)s(duction)e(of)g(s)h(than)g(of)f(u,)g(but)h(actually)f(a)g
15415 (spillo)m(v)m(er)f(in)m(to)h(c)h(pro)s(duction.)43 b(Users,)34
15416 b(b)s(ew)m(are!)0 4372 y Fp(3.4)135 b(Man)l(ual)46 b(Con)l(v)l(en)l
15417 (tions)0 4545 y Fw(In)28 b(the)h(man)m(ual)d(parts)i(of)f(this)h(rep)s
15418 (ort,)h(some)e(con)m(v)m(en)m(tions)j(are)e(used.)43
15419 b(All)26 b(names)i(of)f(subprograms,)0 4653 y(common)c(blo)s(c)m(ks)i
15420 (and)g(v)-5 b(ariables)23 b(are)h(giv)m(en)h(in)f(upp)s(er-case)h(`t)m
15421 (yp)s(ewriter')h(st)m(yle,)h(e.g.)41 b Fq(MSTP\(111\)=0)p
15422 Fw(.)0 4762 y(Also)32 b(program)f(examples)i(are)f(giv)m(en)h(in)f
15423 (this)g(st)m(yle.)146 4870 y(If)g(a)g(common)e(blo)s(c)m(k)i(v)-5
15424 b(ariable)30 b(m)m(ust)i(ha)m(v)m(e)i(a)d(v)-5 b(alue)32
15425 b(set)g(at)g(the)g(b)s(eginning)f(of)g(execution,)i(then)0
15426 4979 y(a)f(default)g(v)-5 b(alue)32 b(is)g(stored)h(in)f(one)h(of)f
15427 (the)h(blo)s(c)m(k)g(data)f(subprograms)g Fq(LUDATA)i
15428 Fw(and)f Fq(PYDATA)p Fw(.)h(Suc)m(h)0 5087 y(a)g(default)f(v)-5
15429 b(alue)33 b(is)g(usually)g(indicated)g(b)m(y)i(a)f(`\(D=.)16
15430 b(.)g(.)g(\)')47 b(immediately)31 b(after)j(the)g(v)-5
15431 b(ariable)32 b(name,)0 5195 y(e.g.)0 5304 y Fq(MSTJ\(1\))53
15432 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(fragmen)m(tation)f(sc)m
15433 (heme.)146 5412 y(All)25 b(v)-5 b(ariables)24 b(in)h(the)i
15434 Fm(Jetset)e Fw(common)f(blo)s(c)m(ks)i(\(with)g(v)m(ery)h(few)g
15435 (exceptions,)h(clearly)d(mark)m(ed\))0 5520 y(can)39
15436 b(b)s(e)g(freely)g(c)m(hanged)h(from)e(one)h(ev)m(en)m(t)i(to)d(the)h
15437 (next,)j(or)c(ev)m(en)j(within)d(the)h(treatmen)m(t)g(of)f(one)0
15438 5629 y(single)44 b(ev)m(en)m(t.)81 b(In)45 b(the)g Fm(Pythia)g
15439 Fw(common)e(blo)s(c)m(ks)i(the)g(situation)e(is)i(more)e(complicated.)
15440 79 b(The)1841 5953 y(35)p eop
15441 %%Page: 36 42
15442 36 41 bop 0 -18 a Fw(v)-5 b(alues)33 b(of)f(man)m(y)g(switc)m(hes)j
15443 (and)d(parameters)h(are)f(used)i(already)e(in)g(the)h
15444 Fq(PYINIT)i Fw(call,)c(and)h(cannot)0 90 y(b)s(e)27 b(c)m(hanged)h
15445 (after)e(that.)42 b(The)28 b(problem)d(is)h(men)m(tioned)h(in)f(the)h
15446 (pream)m(ble)f(to)h(the)g(a\017icted)g(common)0 198 y(blo)s(c)m(ks,)33
15447 b(whic)m(h)g(in)e(particular)g(means)h Fq(/PYPARS/)j
15448 Fw(and)d Fq(/PYSUBS/)p Fw(.)46 b(F)-8 b(or)31 b(the)i(v)-5
15449 b(ariables)31 b(whic)m(h)i(ma)m(y)0 307 y(still)22 b(b)s(e)j(c)m
15450 (hanged)h(from)d(one)i(ev)m(en)m(t)i(to)d(the)h(next,)i(a)e(`\(C\)')g
15451 (is)f(added)h(after)g(the)g(`\(D=.)16 b(.)g(.)g(\)')41
15452 b(statemen)m(t.)146 415 y(Normally)-8 b(,)33 b(v)-5 b(ariables)33
15453 b(in)m(ternal)g(to)h(the)h(program)e(are)h(k)m(ept)i(in)d(separate)j
15454 (common)d(blo)s(c)m(ks)h(and)0 523 y(arra)m(ys,)42 b(but)e(in)e(a)h
15455 (few)i(cases)f(suc)m(h)h(in)m(ternal)e(v)-5 b(ariables)38
15456 b(app)s(ear)h(among)f(arra)m(ys)i(of)f(switc)m(hes)i(and)0
15457 632 y(parameters,)f(mainly)c(for)i(historical)f(reasons.)62
15458 b(These)40 b(are)f(denoted)g(b)m(y)g(`\(R\)')g(for)f(v)-5
15459 b(ariables)37 b(y)m(ou)0 740 y(ma)m(y)d(w)m(an)m(t)i(to)e(read,)i(b)s
15460 (ecause)g(they)f(con)m(tain)f(p)s(oten)m(tially)f(in)m(teresting)h
15461 (information,)e(and)j(b)m(y)g(`\(I\)')0 848 y(for)d(purely)h(in)m
15462 (ternal)e(v)-5 b(ariables.)42 b(In)33 b(neither)g(case)g(ma)m(y)g(the)g
15463 (v)-5 b(ariables)31 b(b)s(e)i(c)m(hanged)g(b)m(y)h(y)m(ou.)146
15464 957 y(In)42 b(the)g(description)f(of)g(a)g(switc)m(h,)k(the)d
15465 (alternativ)m(es)f(that)g(this)g(switc)m(h)h(ma)m(y)g(tak)m(e)g(are)f
15466 (often)0 1065 y(en)m(umerated,)33 b(e.g.)0 1173 y Fq(MSTJ\(1\))53
15467 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(fragmen)m(tation)f(sc)m
15468 (heme.)236 1282 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(jet)h(fragmen)m
15469 (tation)d(at)j(all.)236 1390 y Fq(=)52 b(1)f(:)217 b
15470 Fw(string)32 b(fragmen)m(tation)e(according)i(to)g(the)h(Lund)h(mo)s
15471 (del.)236 1498 y Fq(=)52 b(2)f(:)217 b Fw(indep)s(enden)m(t)45
15472 b(fragmen)m(tation,)h(according)e(to)g(sp)s(eci\014cation)g(in)f
15473 Fq(MSTJ\(2\))j Fw(and)709 1607 y Fq(MSTJ\(3\))p Fw(.)0
15474 1715 y(If)28 b(y)m(ou)h(then)f(use)h(an)m(y)g(v)-5 b(alue)27
15475 b(other)i(than)f(0,)g(1)g(or)g(2,)h(results)f(are)g(unpredictable.)42
15476 b(The)29 b(action)e(could)0 1823 y(ev)m(en)37 b(b)s(e)e(di\013eren)m(t)
15477 h(in)e(di\013eren)m(t)h(parts)h(of)e(the)i(program,)f(dep)s(ending)g
15478 (on)g(the)h(order)f(in)f(whic)m(h)i(the)0 1932 y(alternativ)m(es)c(are)
15479 h(iden)m(ti\014ed.)146 2040 y(It)40 b(is)g(also)f(up)h(to)f(y)m(ou)i
15480 (to)e(c)m(ho)s(ose)i(ph)m(ysically)e(sensible)h(v)-5
15481 b(alues)40 b(for)g(parameters:)58 b(there)40 b(is)g(no)0
15482 2148 y(c)m(hec)m(k)f(on)e(the)h(allo)m(w)m(ed)e(ranges)h(of)g(v)-5
15483 b(ariables.)56 b(W)-8 b(e)37 b(ga)m(v)m(e)h(an)f(example)f(of)h(this)g
15484 (at)f(the)i(end)f(of)g(the)0 2257 y(preceding)c(section.)146
15485 2365 y(Subroutines)d(y)m(ou)h(are)e(exp)s(ected)j(to)d(use)h(are)g
15486 (enclosed)g(in)f(a)g(b)s(o)m(x)h(at)g(the)f(p)s(oin)m(t)g(where)i(they)
15487 f(are)0 2473 y(de\014ned:)p 0 2598 1082 9 v 0 2818 9
15488 220 v 79 2738 a Fq(CALL)52 b(LULIST\(MLIST\))p 1073 2818
15489 V 0 2826 1082 9 v 146 3012 a Fw(This)24 b(is)f(follo)m(w)m(ed)f(b)m(y)i
15490 (a)f(description)g(of)g(input)g(or)g(output)h(parameters.)40
15491 b(The)24 b(di\013erence)g(b)s(et)m(w)m(een)0 3120 y(input)38
15492 b(and)h(output)f(is)g(not)g(explicitly)f(mark)m(ed,)j(but)f(should)f(b)
15493 s(e)h(ob)m(vious)g(from)e(the)i(con)m(text.)62 b(In)0
15494 3228 y(fact,)31 b(the)h(ev)m(en)m(t-analysis)g(routines)f(of)f(section)
15495 i(15.4)e(return)i(v)-5 b(alues,)31 b(while)f(all)f(the)j(rest)g(only)e
15496 (ha)m(v)m(e)0 3337 y(input)i(v)-5 b(ariables.)146 3445
15497 y(Routines)29 b(that)g(are)g(only)g(used)h(in)m(ternally)d(are)i(not)g
15498 (b)s(o)m(xed)h(in.)42 b(Ho)m(w)m(ev)m(er,)32 b(w)m(e)e(use)g(b)s(o)m
15499 (xes)g(for)f(all)0 3553 y(common)i(blo)s(c)m(ks,)i(so)g(as)g(to)f
15500 (enhance)i(the)f(readabilit)m(y)-8 b(.)0 3827 y Fp(3.5)135
15501 b(Getting)46 b(Started)g(with)f(JETSET)0 4000 y Fw(As)33
15502 b(a)f(\014rst)h(example,)e(assume)i(that)f(y)m(ou)h(w)m(an)m(t)g(to)f
15503 (study)i(the)f(pro)s(duction)e(of)h(u)p 3020 3947 55
15504 4 v(u)h(2-jet)e(systems)j(at)0 4108 y(20)e(GeV)h(energy)-8
15505 b(.)44 b(T)-8 b(o)33 b(do)f(this,)g(write)h(a)f(main)f(program)308
15506 4300 y Fq(CALL)52 b(LU2ENT\(0,2,-2,20.\))308 4408 y(CALL)g(LULIST\(1\))
15507 308 4516 y(END)0 4708 y Fw(and)38 b(run)g(this)f(program,)g(link)m(ed)h
15508 (together)g(with)f Fm(Jetset)p Fw(.)57 b(The)39 b(routine)e
15509 Fq(LU2ENT)i Fw(is)e(sp)s(eci\014cally)0 4816 y(in)m(tended)d(for)g
15510 (storing)e(t)m(w)m(o)j(en)m(tries)f(\(jets)g(or)g(particles\).)46
15511 b(The)34 b(\014rst)g(argumen)m(t)g(\(0\))f(is)g(a)h(command)0
15512 4924 y(to)25 b(p)s(erform)g(fragmen)m(tation)f(and)h(deca)m(y)i
15513 (directly)e(after)h(the)g(en)m(tries)g(ha)m(v)m(e)h(b)s(een)f(stored,)i
15514 (the)e(second)0 5033 y(and)32 b(third)g(that)f(the)i(t)m(w)m(o)g(en)m
15515 (tries)f(are)h(u)f(\(2\))g(and)p 1901 4980 V 32 w(u)g(\()p
15516 Fn(\000)p Fw(2\),)g(and)h(the)f(last)f(that)h(the)h(c.m.)43
15517 b(energy)33 b(of)0 5141 y(the)d(pair)f(is)g(20)h(GeV.)g(When)g(this)g
15518 (is)f(run,)i(the)f(resulting)f(ev)m(en)m(t)i(is)f(stored)g(in)f(the)h
15519 Fq(LUJETS)i Fw(common)0 5249 y(blo)s(c)m(k.)45 b(This)33
15520 b(information)d(can)j(then)h(b)s(e)f(read)g(out)g(b)m(y)h(y)m(ou.)46
15521 b(No)33 b(output)g(is)g(pro)s(duced)h(b)m(y)h Fq(LU2ENT)0
15522 5358 y Fw(itself,)c(except)k(for)d(a)g(title)f(page)h(whic)m(h)i(app)s
15523 (ears)e(once)i(for)e(ev)m(ery)k Fm(Jetset/Pythia)31 b
15524 Fw(run.)146 5466 y(Instead)42 b(the)g(second)g(command,)g(to)f
15525 Fq(LULIST)p Fw(,)h(pro)m(vides)g(a)f(simple)e(visible)h(summary)h(of)f
15526 (the)0 5575 y(information)33 b(stored)j(in)f Fq(LUJETS)p
15527 Fw(.)j(The)e(argumen)m(t)g(\(1\))f(indicates)g(that)h(the)g(short)g(v)m
15528 (ersion)h(should)1841 5953 y(36)p eop
15529 %%Page: 37 43
15530 37 42 bop 0 -18 a Fw(b)s(e)27 b(used,)i(whic)m(h)e(is)f(suitable)f(for)
15531 h(viewing)g(the)h(listing)d(directly)i(on)g(an)g(80-column)f(terminal)f
15532 (screen.)0 90 y(It)33 b(migh)m(t)e(lo)s(ok)g(as)i(sho)m(wn)h(here.)1230
15533 279 y Fq(Event)53 b(listing)g(\(summary\))103 496 y(I)102
15534 b(particle/jet)55 b(KS)257 b(KF)51 b(orig)155 b(p_x)257
15535 b(p_y)h(p_z)308 b(E)359 b(m)103 713 y(1)102 b(\(u\))360
15536 b(A)103 b(12)308 b(2)205 b(0)154 b(0.000)h(0.000)104
15537 b(10.000)g(10.000)156 b(0.006)103 821 y(2)102 b(\(u~\))309
15538 b(V)103 b(11)257 b(-2)205 b(0)154 b(0.000)h(0.000)53
15539 b(-10.000)104 b(10.000)156 b(0.006)103 929 y(3)102 b(\(string\))259
15540 b(11)e(92)205 b(1)154 b(0.000)h(0.000)h(0.000)103 b(20.000)i(20.000)103
15541 1038 y(4)d(\(rho+\))361 b(11)205 b(213)h(3)154 b(0.098)104
15542 b(-0.154)156 b(2.710)f(2.856)g(0.885)103 1146 y(5)102
15543 b(\(rho-\))361 b(11)154 b(-213)206 b(3)103 b(-0.227)155
15544 b(0.145)h(6.538)f(6.590)g(0.781)103 1254 y(6)102 b(pi+)565
15545 b(1)205 b(211)h(3)154 b(0.125)104 b(-0.266)156 b(0.097)f(0.339)g(0.140)
15546 103 1363 y(7)102 b(\(Sigma0\))259 b(11)154 b(3212)206
15547 b(3)103 b(-0.254)155 b(0.034)104 b(-1.397)156 b(1.855)f(1.193)103
15548 1471 y(8)102 b(\(K*+\))412 b(11)205 b(323)h(3)103 b(-0.124)155
15549 b(0.709)104 b(-2.753)156 b(2.968)f(0.846)103 1579 y(9)102
15550 b(p~-)565 b(1)103 b(-2212)206 b(3)154 b(0.395)104 b(-0.614)g(-3.806)156
15551 b(3.988)f(0.938)51 1688 y(10)103 b(pi-)565 b(1)154 b(-211)206
15552 b(3)103 b(-0.013)155 b(0.146)104 b(-1.389)156 b(1.403)f(0.140)51
15553 1796 y(11)103 b(pi+)565 b(1)205 b(211)h(4)154 b(0.109)104
15554 b(-0.456)156 b(2.164)f(2.218)g(0.140)51 1904 y(12)103
15555 b(\(pi0\))412 b(11)205 b(111)h(4)103 b(-0.011)155 b(0.301)h(0.546)f
15556 (0.638)g(0.135)51 2013 y(13)103 b(pi-)565 b(1)154 b(-211)206
15557 b(5)154 b(0.089)h(0.343)h(2.089)f(2.124)g(0.140)51 2121
15558 y(14)103 b(\(pi0\))412 b(11)205 b(111)h(5)103 b(-0.316)h(-0.197)156
15559 b(4.449)f(4.467)g(0.135)51 2230 y(15)103 b(\(Lambda0\))208
15560 b(11)154 b(3122)206 b(7)103 b(-0.208)155 b(0.014)104
15561 b(-1.403)156 b(1.804)f(1.116)51 2338 y(16)103 b(gamma)463
15562 b(1)257 b(22)205 b(7)103 b(-0.046)155 b(0.020)h(0.006)f(0.050)g(0.000)
15563 51 2446 y(17)103 b(K+)616 b(1)205 b(321)h(8)103 b(-0.084)155
15564 b(0.299)104 b(-2.139)156 b(2.217)f(0.494)51 2555 y(18)103
15565 b(\(pi0\))412 b(11)205 b(111)h(8)103 b(-0.040)155 b(0.410)104
15566 b(-0.614)156 b(0.751)f(0.135)51 2663 y(19)103 b(gamma)463
15567 b(1)257 b(22)154 b(12)g(0.059)h(0.146)h(0.224)f(0.274)g(0.000)51
15568 2771 y(20)103 b(gamma)463 b(1)257 b(22)154 b(12)103 b(-0.070)155
15569 b(0.155)h(0.322)f(0.364)g(0.000)51 2880 y(21)103 b(gamma)463
15570 b(1)257 b(22)154 b(14)103 b(-0.322)h(-0.162)156 b(4.027)f(4.043)g
15571 (0.000)51 2988 y(22)103 b(gamma)463 b(1)257 b(22)154
15572 b(14)g(0.006)104 b(-0.035)156 b(0.422)f(0.423)g(0.000)51
15573 3096 y(23)103 b(p+)616 b(1)154 b(2212)h(15)103 b(-0.178)155
15574 b(0.033)104 b(-1.343)156 b(1.649)f(0.938)51 3205 y(24)103
15575 b(pi-)565 b(1)154 b(-211)h(15)103 b(-0.030)h(-0.018)g(-0.059)156
15576 b(0.156)f(0.140)51 3313 y(25)103 b(gamma)463 b(1)257
15577 b(22)154 b(18)103 b(-0.006)155 b(0.384)104 b(-0.585)156
15578 b(0.699)f(0.000)51 3421 y(26)103 b(gamma)463 b(1)257
15579 b(22)154 b(18)103 b(-0.034)155 b(0.026)104 b(-0.029)156
15580 b(0.052)f(0.000)872 3530 y(sum:)103 b(0.00)411 b(0.000)155
15581 b(0.000)h(0.000)103 b(20.000)i(20.000)0 3719 y Fw(\(A)42
15582 b(few)g(blanks)g(ha)m(v)m(e)i(b)s(een)e(remo)m(v)m(ed)h(b)s(et)m(w)m
15583 (een)h(the)e(columns)f(to)h(mak)m(e)g(it)f(\014t)h(in)m(to)f(the)h
15584 (format)0 3827 y(of)d(this)g(text.\))66 b(Lo)s(ok)39
15585 b(in)g(the)h(particle/jet)e(column)g(and)i(note)g(that)f(the)h(\014rst)
15586 g(t)m(w)m(o)h(lines)d(are)i(the)0 3936 y(original)32
15587 b(u)k(and)p 637 3883 55 4 v 35 w(u,)h(where)f(`bar')g(is)f(actually)f
15588 (written)h(`)p Fn(\030)p Fw(')h(to)f(sa)m(v)m(e)j(space)e(in)f(longer)f
15589 (names.)53 b(The)0 4044 y(paren)m(theses)32 b(enclosing)d(the)h(names,)
15590 g(`)p Fq(\(u\))p Fw(')h(and)e(`)p Fq(\(u~\))p Fw(',)j(are)d(there)i(as)
15591 f(a)f(reminder)g(that)g(these)i(jets)0 4152 y(actually)f(ha)m(v)m(e)i
15592 (b)s(een)g(allo)m(w)m(ed)e(to)h(fragmen)m(t.)43 b(The)32
15593 b(jets)f(are)g(still)e(retained)i(so)g(that)g(ev)m(en)m(t)i(histories)0
15594 4261 y(can)k(b)s(e)g(studied.)56 b(Also)36 b(note)h(that)f(the)h
15595 Fq(KF)h Fw(\(\015a)m(v)m(our)f(co)s(de\))g(column)f(con)m(tains)g(2)h
15596 (in)f(the)h(\014rst)g(line)0 4369 y(and)44 b Fn(\000)p
15597 Fw(2)f(in)g(the)h(second.)77 b(These)45 b(are)f(the)g(co)s(des)g
15598 (actually)e(stored)i(to)f(denote)h(the)g(presence)i(of)0
15599 4478 y(a)c(u)h(and)g(a)p 480 4425 V 43 w(u,)i(cf.)74
15600 b(the)44 b Fq(LU2ENT)g Fw(call,)f(while)f(the)i(names)e(written)h(are)g
15601 (just)g(con)m(v)m(eniences)i(used)0 4586 y(when)g(pro)s(ducing)e
15602 (visible)g(output.)78 b(The)44 b Fq(A)g Fw(and)g Fq(V)g
15603 Fw(near)h(the)f(end)g(of)g(the)g(particle/jet)f(column)0
15604 4694 y(indicate)h(the)h(b)s(eginning)e(and)h(end)i(of)e(a)g(string)g
15605 (\(or)g(cluster,)k(or)d(indep)s(enden)m(t)g(fragmen)m(tation\))0
15606 4803 y(parton)29 b(system;)i(an)m(y)e(in)m(termediate)f(en)m(tries)h(b)
15607 s(elonging)e(to)i(the)g(same)g(system)h(w)m(ould)e(ha)m(v)m(e)j(had)e
15608 (an)0 4911 y Fq(I)k Fw(in)f(that)g(column.)42 b(\(This)33
15609 b(giv)m(es)g(a)f(p)s(o)s(or)g(man's)g(represen)m(tation)i(of)e(an)g
15610 (up-do)m(wn)h(arro)m(w,)g Fn(l)p Fw(.\))146 5019 y(In)39
15611 b(the)h Fq(orig)f Fw(\(origin\))e(column,)i(the)g(zeros)h(indicate)d
15612 (that)i(u)g(and)p 2733 4966 V 39 w(u)g(are)f(t)m(w)m(o)i(initial)35
15613 b(en)m(tries.)0 5128 y(The)29 b(subsequen)m(t)i(line,)d(n)m(um)m(b)s
15614 (er)g(3,)h(denotes)g(the)g(fragmen)m(ting)d(u)p 2457
15615 5075 V(u)i(string)g(system)h(as)f(a)g(whole,)g(and)0
15616 5236 y(has)34 b(origin)d(1,)i(since)g(the)h(\014rst)g(parton)e(of)h
15617 (this)g(string)f(system)j(is)d(en)m(try)j(n)m(um)m(b)s(er)e(1.)45
15618 b(The)34 b(particles)0 5344 y(in)i(lines)f(4{10)h(ha)m(v)m(e)i(origin)c
15619 (3)i(to)g(denote)i(that)e(they)h(come)f(directly)g(from)f(the)i
15620 (fragmen)m(tation)e(of)0 5453 y(this)29 b(string.)42
15621 b(In)30 b(string)f(fragmen)m(tation)f(it)h(is)g(not)g(meaningful)f(to)h
15622 (sa)m(y)i(that)e(a)g(particle)g(comes)h(from)0 5561 y(only)j(the)i(u)f
15623 (quark)g(or)g(only)f(the)p 1256 5508 V 35 w(u)h(one.)47
15624 b(It)34 b(is)g(the)g(string)f(system)i(as)f(a)g(whole)g(that)f(giv)m
15625 (es)i(a)e Fj(\032)3610 5525 y Fl(+)3669 5561 y Fw(,)i(a)0
15626 5669 y Fj(\032)50 5633 y Fk(\000)109 5669 y Fw(,)h(a)g
15627 Fj(\031)316 5633 y Fl(+)374 5669 y Fw(,)h(a)e(\006)592
15628 5633 y Fl(0)632 5669 y Fw(,)h(a)f(K)855 5633 y Fk(\003)p
15629 Fl(+)949 5669 y Fw(,)h(a)p 1096 5616 V 35 w(p)1150 5633
15630 y Fk(\000)1209 5669 y Fw(,)g(and)g(a)f Fj(\031)1608 5633
15631 y Fk(\000)1667 5669 y Fw(.)52 b(Note)35 b(that)g(some)g(of)g(the)h
15632 (particle)e(names)i(are)f(again)1841 5953 y(37)p eop
15633 %%Page: 38 44
15634 38 43 bop 0 -18 a Fw(enclosed)36 b(in)f(paren)m(theses,)40
15635 b(indicating)33 b(that)i(these)i(particles)e(are)h(not)g(presen)m(t)h
15636 (in)e(the)h(\014nal)f(state)0 90 y(either,)c(but)f(ha)m(v)m(e)i(deca)m
15637 (y)m(ed)h(further.)43 b(Th)m(us)31 b(the)g Fj(\031)1899
15638 54 y Fk(\000)1988 90 y Fw(in)f(line)f(13)h(and)g(the)h
15639 Fj(\031)2822 54 y Fl(0)2892 90 y Fw(in)e(line)g(14)h(ha)m(v)m(e)i
15640 (origin)0 198 y(5,)38 b(as)g(an)f(indication)e(that)j(they)g(come)f
15641 (from)f(the)i(deca)m(y)h(of)e(the)h Fj(\032)2557 162
15642 y Fk(\000)2653 198 y Fw(in)f(line)f(5.)58 b(Only)37 b(the)g(names)0
15643 307 y(not)45 b(enclosed)g(in)f(paren)m(theses)j(remain)d(at)g(the)h
15644 (end)h(of)e(the)h(fragmen)m(tation/deca)m(y)g(c)m(hain,)i(and)0
15645 415 y(are)36 b(th)m(us)h(exp)s(erimen)m(tally)d(observ)-5
15646 b(able.)53 b(The)37 b(actual)e(status)h(co)s(de)h(used)f(to)g
15647 (distinguish)e(b)s(et)m(w)m(een)0 523 y(di\013eren)m(t)g(classes)h(of)e
15648 (en)m(tries)i(is)e(giv)m(en)h(in)f(the)i Fq(KS)f Fw(column;)g(co)s(des)
15649 g(in)f(the)i(range)f(1{10)f(corresp)s(ond)0 632 y(to)f(remaining)e(en)m
15650 (tries,)k(and)e(those)i(ab)s(o)m(v)m(e)f(10)f(to)g(those)i(that)e(ha)m
15651 (v)m(e)i(fragmen)m(ted)e(or)h(deca)m(y)m(ed.)146 740
15652 y(The)43 b(columns)f(with)f Fq(p)p 1034 740 31 4 v 38
15653 w(x)p Fw(,)j Fq(p)p 1245 740 V 38 w(y)p Fw(,)g Fq(p)p
15654 1456 740 V 37 w(z)p Fw(,)h Fq(E)d Fw(and)h Fq(m)f Fw(are)g(quite)g
15655 (self-explanatory)-8 b(.)71 b(All)41 b(momen)m(ta,)0
15656 848 y(energies)27 b(and)f(masses)h(are)f(giv)m(en)g(in)f(units)h(of)g
15657 (GeV,)g(since)h(the)f(sp)s(eed)i(of)d(ligh)m(t)g(is)g(tak)m(en)i(to)f
15658 (b)s(e)g Fj(c)i Fw(=)g(1.)0 957 y(Note)33 b(that)g(energy)h(and)f
15659 (momen)m(tum)e(are)i(conserv)m(ed)i(at)e(eac)m(h)h(step)f(of)g(the)g
15660 (fragmen)m(tation/deca)m(y)0 1065 y(pro)s(cess)39 b(\(although)d(there)
15661 i(exist)g(options)f(where)i(this)e(is)g(not)g(true\).)59
15662 b(Also)37 b(note)g(that)h(the)g Fj(z)k Fw(axis)0 1173
15663 y(pla)m(ys)26 b(the)g(r^)-49 b(ole)25 b(of)h(preferred)h(direction,)f
15664 (along)e(whic)m(h)j(the)f(original)c(partons)k(are)g(placed.)41
15665 b(The)27 b(\014nal)0 1282 y(line)34 b(is)h(in)m(tended)h(as)g(a)f(quic)
15666 m(k)h(c)m(hec)m(k)i(that)d(nothing)g(funn)m(y)i(happ)s(ened.)53
15667 b(It)35 b(con)m(tains)h(the)g(summed)0 1390 y(c)m(harge,)28
15668 b(summed)f(momen)m(tum,)f(summed)g(energy)i(and)f(in)m(v)-5
15669 b(arian)m(t)25 b(mass)h(of)g(the)h(\014nal)f(en)m(tries)h(at)f(the)0
15670 1498 y(end)i(of)g(the)g(fragmen)m(tation/deca)m(y)f(c)m(hain,)i(and)f
15671 (the)g(v)-5 b(alues)28 b(should)f(agree)h(with)g(the)g(input)f(implied)
15672 0 1607 y(b)m(y)43 b(the)f Fq(LU2ENT)h Fw(argumen)m(ts.)71
15673 b(\(In)41 b(fact,)j(w)m(arnings)e(w)m(ould)g(normally)d(app)s(ear)i(on)
15674 h(the)g(output)g(if)0 1715 y(an)m(ything)32 b(un)m(to)m(w)m(ard)i(happ)
15675 s(ened,)g(but)f(that)f(is)g(another)h(story)-8 b(.\))146
15676 1823 y(The)31 b(ab)s(o)m(v)m(e)g(example)e(has)h(illustrated)e(roughly)
15677 h(what)h(information)c(is)j(to)h(b)s(e)g(had)g(in)e(the)j(ev)m(en)m(t)0
15678 1932 y(record,)f(but)e(not)g(so)h(m)m(uc)m(h)g(ab)s(out)e(ho)m(w)i(it)f
15679 (is)f(stored.)43 b(This)29 b(is)e(b)s(etter)i(seen)h(b)m(y)f(using)f(a)
15680 g(132-column)0 2040 y(format)j(for)h(listing)e(ev)m(en)m(ts.)46
15681 b(T)-8 b(ry)33 b(e.g.)44 b(the)33 b(follo)m(wing)d(program)308
15682 2231 y Fq(CALL)52 b(LU3ENT\(0,1,21,-1,30.,0.9,)q(0.7\))308
15683 2340 y(CALL)g(LULIST\(2\))308 2448 y(CALL)g(LUEDIT\(3\))308
15684 2556 y(CALL)g(LULIST\(2\))308 2665 y(END)0 2856 y Fw(where)32
15685 b(a)e(3-jet)g(dg)p 686 2777 55 4 v 1 w(d)g(ev)m(en)m(t)j(is)d
15686 (generated)h(in)f(the)h(\014rst)f(line)g(and)g(listed)g(in)f(the)i
15687 (second.)44 b(This)31 b(listing)0 2964 y(will)f(con)m(tain)i(the)h(n)m
15688 (um)m(b)s(ers)h(as)f(directly)f(stored)h(in)f(the)h(common)e(blo)s(c)m
15689 (k)h Fq(LUJETS)308 3156 y(COMMON/LUJETS/N,K\(4000,5\),)q(P\(40)q(00,5)q
15690 (\),V\()q(400)q(0,5\))0 3347 y Fw(F)-8 b(or)44 b(particle)f
15691 Fq(I)p Fw(,)i Fq(K\(I,1\))h Fw(th)m(us)f(giv)m(es)g(information)d(on)i
15692 (whether)i(or)e(not)h(a)f(jet)h(or)f(particle)f(has)0
15693 3456 y(fragmen)m(ted)g(or)f(deca)m(y)m(ed,)48 b Fq(K\(I,2\))c
15694 Fw(giv)m(es)f(the)g(particle)f(co)s(de,)j Fq(K\(I,3\))g
15695 Fw(its)d(origin,)h Fq(K\(I,4\))h Fw(and)0 3564 y Fq(K\(I,5\))e
15696 Fw(the)e(p)s(osition)e(of)i(fragmen)m(tation/deca)m(y)f(pro)s(ducts,)k
15697 (and)d Fq(P\(I,1)p Fw(\){)p Fq(P\(I,5\))j Fw(momen)m(tum,)0
15698 3672 y(energy)32 b(and)g(mass.)43 b(The)32 b(n)m(um)m(b)s(er)g(of)e
15699 (lines)h(in)f(curren)m(t)j(use)f(is)f(giv)m(en)g(b)m(y)j
15700 Fq(N)p Fw(,)d(i.e.)43 b(1)31 b Fn(\024)g Fq(I)h Fn(\024)f
15701 Fq(N)p Fw(.)h(The)g Fq(V)0 3781 y Fw(matrix)g(con)m(tains)i(deca)m(y)h
15702 (v)m(ertices;)g(to)e(view)h(those)h Fq(LULIST\(3\))h
15703 Fw(has)e(to)f(b)s(e)h(used.)48 b(It)33 b(is)g(imp)s(ortan)m(t)0
15704 3889 y(to)f(learn)g(the)h(rules)g(for)f(ho)m(w)h(information)c(is)j
15705 (stored)i(in)d Fq(LUJETS)p Fw(.)146 3997 y(The)40 b(third)e(line)f(in)h
15706 (the)h(program)f(illustrates)f(another)h(imp)s(ortan)m(t)f(p)s(oin)m(t)
15707 h(ab)s(out)g Fm(Jetset)p Fw(:)55 b(a)0 4106 y(n)m(um)m(b)s(er)41
15708 b(of)g(routines)g(are)g(a)m(v)-5 b(ailable)38 b(for)j(manipulating)c
15709 (the)42 b(ev)m(en)m(t)h(record)e(after)g(the)g(ev)m(en)m(t)i(has)0
15710 4214 y(b)s(een)33 b(generated.)44 b(Th)m(us)33 b Fq(LUEDIT\(3\))i
15711 Fw(will)29 b(remo)m(v)m(e)k(ev)m(erything)g(except)h(stable)d(c)m
15712 (harged)i(particles,)0 4322 y(as)42 b(sho)m(wn)g(b)m(y)h(the)e(result)h
15713 (of)f(the)h(second)g Fq(LULIST)h Fw(call.)69 b(More)41
15714 b(adv)-5 b(anced)43 b(p)s(ossibilities)38 b(include)0
15715 4431 y(things)32 b(lik)m(e)g(sphericit)m(y)h(or)f(clustering)g
15716 (routines.)146 4539 y(Apart)g(from)f(the)h(input)g(argumen)m(ts)g(of)g
15717 (subroutine)g(calls,)f(con)m(trol)g(on)h(the)h(doings)e(of)39
15718 b Fm(Jetset)0 4647 y Fw(ma)m(y)46 b(b)s(e)h(imp)s(osed)e(via)g(the)i
15719 Fq(LUDAT1)p Fw(,)52 b Fq(LUDAT2)p Fw(,)f Fq(LUDAT3)d
15720 Fw(and)e Fq(LUDAT4)i Fw(common)d(blo)s(c)m(ks.)85 b(Here)0
15721 4756 y(sensible)36 b(default)e(v)-5 b(alues)36 b(are)f(alw)m(a)m(ys)h
15722 (pro)m(vided.)52 b(A)36 b(user)g(migh)m(t)e(w)m(an)m(t)i(to)f(switc)m
15723 (h)h(o\013)f(all)f(particle)0 4864 y(deca)m(ys)50 b(b)m(y)f(putting)g
15724 Fq(MSTJ\(21\)=0)h Fw(or)e(increase)g(the)h(s)p Fj(=)p
15725 Fw(u)f(ratio)f(in)g(fragmen)m(tation)f(b)m(y)j(putting)0
15726 4972 y Fq(PARJ\(2\)=0.40)p Fw(,)37 b(to)c(giv)m(e)g(but)g(t)m(w)m(o)h
15727 (examples.)46 b(It)33 b(is)g(b)m(y)h(exploring)e(the)i(p)s
15728 (ossibilities)c(o\013ered)k(here)0 5081 y(that)c Fm(Jetset)g
15729 Fw(can)g(b)s(e)h(turned)g(in)m(to)f(an)h(extremely)f(v)m(ersatile)g(to)
15730 s(ol,)g(ev)m(en)i(if)d(all)g(the)i(nice)f(ph)m(ysics)i(is)0
15731 5189 y(already)g(presen)m(t)i(in)e(the)h(default)f(v)-5
15732 b(alues.)146 5297 y(As)39 b(a)f(\014nal,)h(semirealistic)c(example,)k
15733 (assume)g(that)f(the)g Fj(p)2391 5312 y Fk(?)2489 5297
15734 y Fw(sp)s(ectrum)g(of)g Fj(\031)3096 5261 y Fl(+)3193
15735 5297 y Fw(particles)f(is)h(to)0 5406 y(b)s(e)c(studied)h(in)f(91.2)f
15736 (GeV)h(e)1071 5370 y Fl(+)1131 5406 y Fw(e)1174 5370
15737 y Fk(\000)1267 5406 y Fw(annihilation)d(ev)m(en)m(ts,)37
15738 b(where)e Fj(p)2468 5421 y Fk(?)2562 5406 y Fw(is)e(to)h(b)s(e)h
15739 (de\014ned)g(with)f(resp)s(ect)0 5514 y(to)j(the)g(sphericit)m(y)g
15740 (axis.)57 b(Using)36 b(the)i(HBOOK)e(pac)m(k)-5 b(age)38
15741 b(\(v)m(ersion)f(4,)h(w)m(atc)m(h)h(out)d(for)h(v)m(ersion-)g(or)0
15742 5622 y(installation-sp)s(eci\014c)29 b(di\013erences\))34
15743 b(for)e(histogramming,)d(a)j(complete)g(program)g(migh)m(t)f(lo)s(ok)g
15744 (lik)m(e)1841 5953 y(38)p eop
15745 %%Page: 39 45
15746 39 44 bop 0 -18 a Fq(C...Common)54 b(blocks.)308 90 y
15747 (COMMON/LUJETS/N,K\(4000,5\),)q(P\(40)q(00,5)q(\),V\()q(400)q(0,5\))308
15748 198 y(COMMON/PAWC/HMEMOR\(10000\))0 415 y(C...Reserve)g(histogram)g
15749 (memory)f(and)f(book)g(histograms.)308 523 y(CALL)g(HLIMIT\(10000\))308
15750 632 y(CALL)g(HBOOK1\(1,'pT)i(spectrum)g(of)e(pi+',100,0.,5.,0.\))0
15751 848 y(C...Number)i(of)e(events)h(to)e(generate.)j(Loop)e(over)h
15752 (events.)308 957 y(NEVT=100)308 1065 y(DO)e(110)h(IEVT=1,NEVT)0
15753 1282 y(C...Generate)i(event.)f(List)g(first)f(one.)308
15754 1390 y(CALL)g(LUEEVT\(0,91.2\))308 1498 y(IF\(IEVT.EQ.1\))i(CALL)f
15755 (LULIST\(1\))0 1715 y(C...Find)g(sphericity)h(axis)f(and)f(rotate)h
15756 (event)f(so)g(sphericity)i(along)e(z)g(axis.)308 1823
15757 y(CALL)g(LUSPHE\(SPH,APL\))308 1932 y(CALL)g(LUEDIT\(31\))0
15758 2148 y(C...Loop)h(over)g(all)f(particles,)i(but)e(skip)g(if)g(not)g
15759 (pi+.)308 2257 y(DO)f(100)h(I=1,N)308 2365 y(IF\(K\(I,2\).NE.211\))j
15760 (GOTO)e(100)0 2582 y(C...Calculate)i(pT)d(and)g(fill)g(in)g(histogram.)
15761 308 2690 y(PT=SQRT\(P\(I,1\)**2+P\(I,2\)**)q(2\))308
15762 2798 y(CALL)g(HF1\(1,PT,1.\))0 3015 y(C...End)h(of)f(particle)h(and)f
15763 (event)h(loops.)103 3123 y(100)f(CONTINUE)103 3232 y(110)g(CONTINUE)0
15764 3448 y(C...Normalize)j(histogram)e(properly)h(and)e(list)g(it.)308
15765 3557 y(CALL)g(HOPERA\(1,'+',1,1,20./NEVT)q(,0.\))308
15766 3665 y(CALL)g(HISTDO)308 3882 y(END)0 4073 y Fw(Study)39
15767 b(this)f(program,)g(try)g(to)g(understand)h(what)f(happ)s(ens)h(at)f
15768 (eac)m(h)h(step,)h(and)e(run)h(it)e(to)g(c)m(hec)m(k)0
15769 4182 y(that)h(it)g(w)m(orks.)63 b(Y)-8 b(ou)38 b(should)h(then)g(b)s(e)
15770 g(ready)g(to)f(lo)s(ok)f(at)i(the)g(relev)-5 b(an)m(t)38
15771 b(sections)h(of)f(this)h(rep)s(ort)0 4290 y(and)33 b(start)f(writing)f
15772 (y)m(our)i(o)m(wn)h(programs.)0 4564 y Fp(3.6)135 b(Getting)46
15773 b(Started)g(with)f(PYTHIA)0 4737 y Fw(A)25 b Fm(Pythia)g
15774 Fw(run)h(has)f(to)g(b)s(e)h(more)e(strictly)g(organized)h(than)g(a)g
15775 Fm(Jetset)f Fw(one,)j(in)d(that)h(it)f(is)h(necessary)0
15776 4845 y(to)34 b(initialize)d(the)k(generation)f(b)s(efore)g(ev)m(en)m
15777 (ts)j(can)e(b)s(e)g(generated,)h(and)e(in)g(that)g(it)g(is)g(not)g(p)s
15778 (ossible)0 4953 y(to)j(c)m(hange)h(switc)m(hes)h(and)e(parameters)h
15779 (freely)f(during)g(the)g(course)i(of)d(the)i(run.)58
15780 b(A)37 b(fairly)f(precise)0 5062 y(recip)s(e)d(for)f(ho)m(w)h(a)f(run)h
15781 (should)f(b)s(e)h(structured)h(can)f(therefore)g(b)s(e)g(giv)m(en.)146
15782 5170 y(Th)m(us,)i(the)e(usage)g(of)39 b Fm(Pythia)32
15783 b Fw(can)h(b)s(e)g(sub)s(divided)g(in)m(to)f(three)h(steps.)119
15784 5283 y(1.)49 b(The)42 b(initialization)35 b(step.)70
15785 b(It)41 b(is)g(here)h(that)e(all)f(the)j(basic)f(c)m(haracteristics)g
15786 (of)g(the)g(coming)244 5391 y(generation)32 b(are)g(sp)s(eci\014ed.)45
15787 b(The)33 b(material)d(in)i(this)g(section)h(includes)f(the)h(follo)m
15788 (wing.)360 5509 y Fn(\017)48 b Fw(Common)32 b(blo)s(c)m(ks,)h(at)f
15789 (least)g(the)h(follo)m(wing,)d(and)j(ma)m(yb)s(e)f(some)h(more:)766
15790 5627 y Fq(COMMON/LUJETS/N,K\(4000,5\))q(,P\()q(4000)q(,5\),)q(V\(40)q
15791 (00,)q(5\))1841 5953 y Fw(39)p eop
15792 %%Page: 40 46
15793 40 45 bop 766 -18 a Fq(COMMON/LUDAT1/MSTU\(200\),P)q(ARU)q(\(200)q
15794 (\),MS)q(TJ\(2)q(00\))q(,PAR)q(J\(20)q(0\))766 90 y
15795 (COMMON/PYSUBS/MSEL,MSUB\(2)q(00\))q(,KFI)q(N\(2,)q(-40:)q(40\))q(,CKI)
15796 q(N\(20)q(0\))766 198 y(COMMON/PYPARS/MSTP\(200\),P)q(ARP)q(\(200)q
15797 (\),MS)q(TI\(2)q(00\))q(,PAR)q(I\(20)q(0\))360 321 y
15798 Fn(\017)48 b Fw(Selection)d(of)f(required)h(pro)s(cesses.)82
15799 b(Some)45 b(\014xed)h(`men)m(us')f(of)g(subpro)s(cesses)i(can)e(b)s(e)
15800 458 429 y(selected)33 b(with)f(di\013eren)m(t)f Fq(MSEL)i
15801 Fw(v)-5 b(alues,)32 b(but)g(with)f Fq(MSEL)p Fw(=0)h(it)f(is)g(p)s
15802 (ossible)g(to)h(comp)s(ose)458 537 y(`\022)-49 b(a)37
15803 b(la)f(carte',)j(using)e(the)g(subpro)s(cess)i(n)m(um)m(b)s(ers.)58
15804 b(T)-8 b(o)37 b(generate)h(pro)s(cesses)h(14,)f(18)e(and)458
15805 646 y(29,)d(for)f(instance,)h(one)g(needs)766 764 y Fq(MSEL=0)766
15806 872 y(MSUB\(14\)=1)766 980 y(MSUB\(18\)=1)766 1089 y(MSUB\(29\)=1)360
15807 1211 y Fn(\017)48 b Fw(Selection)39 b(of)f(kinematics)h(cuts)g(in)g
15808 (the)g Fq(CKIN)h Fw(arra)m(y)-8 b(.)63 b(T)-8 b(o)39
15809 b(generate)h(hard)f(scatterings)458 1319 y(with)33 b(5)f(GeV)h
15810 Fn(\024)28 b Fj(p)1142 1334 y Fk(?)1228 1319 y Fn(\024)33
15811 b Fw(10)f(GeV,)h(for)f(instance,)h(use)766 1437 y Fq(CKIN\(3\)=5.)766
15812 1546 y(CKIN\(4\)=10.)458 1663 y Fw(Unfortunately)-8 b(,)27
15813 b(initial-)21 b(and)26 b(\014nal-state)f(radiation)e(will)g(shift)i
15814 (around)h(the)f(kinematics)458 1772 y(of)f(the)h(hard)f(scattering,)i
15815 (making)d(the)h(e\013ects)i(of)d(cuts)j(less)e(predictable.)40
15816 b(One)25 b(therefore)458 1880 y(alw)m(a)m(ys)33 b(has)f(to)f(b)s(e)h(v)
15817 m(ery)h(careful)e(that)h(no)g(desired)g(ev)m(en)m(t)h(con\014gurations)
15818 f(are)f(cut)i(out.)360 1998 y Fn(\017)48 b Fw(De\014nition)31
15819 b(of)h(underlying)g(ph)m(ysics)j(scenario,)d(e.g.)44
15820 b(top)32 b(mass.)360 2116 y Fn(\017)48 b Fw(Selection)28
15821 b(of)f(parton-distribution)e(sets,)30 b Fj(Q)2104 2079
15822 y Fl(2)2172 2116 y Fw(de\014nitions,)e(and)g(all)e(other)i(details)f
15823 (of)g(the)458 2224 y(generation.)360 2342 y Fn(\017)48
15824 b Fw(Switc)m(hing)34 b(o\013)g(of)f(generator)h(parts)g(not)g(needed)i
15825 (for)d(to)m(y)i(sim)m(ulations,)d(e.g.)48 b(fragmen-)458
15826 2450 y(tation)32 b(for)g(parton)g(lev)m(el)g(studies.)360
15827 2568 y Fn(\017)48 b Fw(Initialization)40 b(of)k(the)g(ev)m(en)m(t)i
15828 (generation)e(pro)s(cedure.)79 b(Here)45 b(kinematics)e(is)g(set)i(up,)
15829 458 2676 y(maxima)d(of)h(di\013eren)m(tial)f(cross)j(sections)g(are)f
15830 (found)g(for)f(future)h(Mon)m(te)h(Carlo)e(gen-)458 2785
15831 y(eration,)g(and)f(a)f(n)m(um)m(b)s(er)h(of)f(other)h(preparatory)f
15832 (tasks)i(carried)e(out.)70 b(Initialization)458 2893
15833 y(is)41 b(p)s(erformed)g(b)m(y)i Fq(PYINIT)p Fw(,)g(whic)m(h)e(should)g
15834 (b)s(e)h(called)e(only)g(after)h(the)h(switc)m(hes)g(and)458
15835 3001 y(parameters)35 b(ab)s(o)m(v)m(e)f(ha)m(v)m(e)i(b)s(een)f(set)f
15836 (to)g(their)g(desired)g(v)-5 b(alues.)48 b(The)35 b(frame,)f(the)g(b)s
15837 (eam)458 3110 y(particles)e(and)h(the)g(energy)h(ha)m(v)m(e)f(to)g(b)s
15838 (e)f(sp)s(eci\014ed.)766 3227 y Fq(CALL)52 b(PYINIT\('CMS','p','pbar')q
15839 (,180)q(0.\))360 3350 y Fn(\017)c Fw(An)m(y)34 b(other)f(initial)c
15840 (material)g(required)k(b)m(y)h(the)f(user,)h(e.g.)43
15841 b(histogram)31 b(b)s(o)s(oking.)119 3468 y(2.)49 b(The)37
15842 b(generation)e(lo)s(op.)53 b(It)36 b(is)g(here)g(that)g(ev)m(en)m(ts)j
15843 (are)d(generated)h(and)f(studied.)54 b(It)37 b(includes)244
15844 3576 y(the)c(follo)m(wing)d(tasks:)360 3694 y Fn(\017)48
15845 b Fw(Generation)32 b(of)g(the)h(next)h(ev)m(en)m(t,)g(with)766
15846 3812 y Fq(CALL)52 b(PYEVNT)360 3934 y Fn(\017)c Fw(Prin)m(ting)32
15847 b(of)g(a)g(few)h(ev)m(en)m(ts,)i(to)e(c)m(hec)m(k)h(that)f(ev)m
15848 (erything)g(is)g(w)m(orking)f(as)h(planned,)f(with)766
15849 4052 y Fq(CALL)52 b(LULIST\(1\))360 4174 y Fn(\017)c
15850 Fw(An)37 b(analysis)e(of)h(the)g(ev)m(en)m(t)i(for)e(prop)s(erties)g
15851 (of)f(in)m(terest,)j(either)e(directly)f(reading)h(out)458
15852 4283 y(information)42 b(from)i(the)h Fq(LUJETS)i Fw(common)c(blo)s(c)m
15853 (k)i(or)g(making)e(use)j(of)f(a)g(n)m(um)m(b)s(er)g(of)458
15854 4391 y(utilit)m(y)31 b(routines)i(in)e Fm(Jetset)p Fw(.)360
15855 4509 y Fn(\017)48 b Fw(Sa)m(ving)33 b(of)f(ev)m(en)m(ts)j(on)d(tap)s
15856 (e,)h(or)f(in)m(terfacing)f(to)i(detector)g(sim)m(ulation.)119
15857 4627 y(3.)49 b(The)33 b(\014nishing)f(step.)45 b(Here)33
15858 b(the)g(tasks)h(are:)360 4745 y Fn(\017)48 b Fw(Prin)m(ting)43
15859 b(a)h(table)g(of)f(deduced)j(cross)f(sections,)j(obtained)43
15860 b(as)i(a)f(b)m(y-pro)s(duct)g(of)g(the)458 4853 y(Mon)m(te)34
15861 b(Carlo)d(generation)h(activit)m(y)-8 b(,)32 b(with)h(the)g(command)766
15862 4971 y Fq(CALL)52 b(PYSTAT\(1\))360 5093 y Fn(\017)c
15863 Fw(Prin)m(ting)32 b(histograms)f(and)i(other)g(user)g(output.)146
15864 5211 y(T)-8 b(o)36 b(illustrate)d(this)i(structure,)j(imagine)33
15865 b(a)i(to)m(y)h(example,)g(where)h(one)f(w)m(an)m(ts)h(to)e(sim)m(ulate)
15866 f(the)0 5319 y(pro)s(duction)46 b(of)g(a)h(300)f(GeV)h(Higgs)f
15867 (particle.)85 b(In)47 b Fm(Pythia)p Fw(,)k(a)46 b(program)g(for)g(this)
15868 g(migh)m(t)g(lo)s(ok)0 5428 y(something)32 b(lik)m(e)f(the)i(follo)m
15869 (wing.)0 5619 y Fq(C...Common)54 b(blocks.)1841 5953
15870 y Fw(40)p eop
15871 %%Page: 41 47
15872 41 46 bop 308 -18 a Fq(COMMON/LUJETS/N,K\(4000,5\),)q(P\(40)q(00,5)q
15873 (\),V\()q(400)q(0,5\))308 90 y(COMMON/LUDAT1/MSTU\(200\),PA)q(RU\(2)q
15874 (00\),)q(MSTJ)q(\(20)q(0\),P)q(ARJ\()q(200\))308 198
15875 y(COMMON/LUDAT2/KCHG\(500,3\),)q(PMAS)q(\(500)q(,4\),)q(PAR)q(F\(20)q
15876 (00\),)q(VCKM)q(\(4,4)q(\))308 307 y(COMMON/LUDAT3/MDCY\(500,3\),)q
15877 (MDME)q(\(200)q(0,2\))q(,BR)q(AT\(2)q(000\))q(,KFD)q(P\(20)q(00,)q(5\))
15878 308 415 y(COMMON/PYSUBS/MSEL,MSUB\(20)q(0\),K)q(FIN\()q(2,-4)q(0:4)q
15879 (0\),C)q(KIN\()q(200\))308 523 y(COMMON/PYPARS/MSTP\(200\),PA)q(RP\(2)q
15880 (00\),)q(MSTI)q(\(20)q(0\),P)q(ARI\()q(200\))308 632
15881 y(COMMON/PAWC/HBOOK\(10000\))0 848 y(C...Number)54 b(of)e(events)h(to)e
15882 (generate.)j(Switch)f(on)f(proper)h(processes.)308 957
15883 y(NEV=1000)308 1065 y(MSEL=0)308 1173 y(MSUB\(102\)=1)308
15884 1282 y(MSUB\(123\)=1)308 1390 y(MSUB\(124\)=1)0 1607
15885 y(C...Select)h(t)d(and)i(H)e(masses)i(and)f(kinematics)i(cuts)e(in)g
15886 (mass.)308 1715 y(PMAS\(6,1\)=140.)308 1823 y(PMAS\(25,1\)=300.)308
15887 1932 y(CKIN\(1\)=290.)308 2040 y(CKIN\(2\)=310.)0 2257
15888 y(C...For)h(simulation)h(of)e(hard)g(process)h(only:)g(cut)f(out)g
15889 (unnecessary)i(tasks.)308 2365 y(MSTP\(61\)=0)308 2473
15890 y(MSTP\(71\)=0)308 2582 y(MSTP\(81\)=0)308 2690 y(MSTP\(111\)=0)0
15891 2907 y(C...Initialize)h(and)d(list)g(partial)i(widths.)308
15892 3015 y(CALL)e(PYINIT\('CMS','p','p',1600)q(0.\))308 3123
15893 y(CALL)g(PYSTAT\(2\))0 3340 y(C...Book)h(histograms.)308
15894 3448 y(CALL)f(HLIMIT\(10000\))308 3557 y(CALL)g(HBOOK1\(1,'Higgs)j
15895 (mass',50,275.,325.,0.\))0 3774 y(C...Generate)f(events.)g(Look)e(at)g
15896 (first)g(few.)308 3882 y(DO)f(200)h(IEV=1,NEV)308 3990
15897 y(CALL)g(PYEVNT)308 4099 y(IF\(IEV.LE.3\))i(CALL)e(LULIST\(1\))0
15898 4315 y(C...Loop)h(over)g(particles)g(to)f(find)h(Higgs)f(and)g
15899 (histogram)i(its)e(mass.)308 4424 y(DO)f(100)h(I=1,N)103
15900 4532 y(100)g(IF\(K\(I,2\).EQ.25\))j(HMASS=P\(I,5\))308
15901 4640 y(CALL)d(HF1\(1,HMASS,1.\))103 4749 y(200)g(CONTINUE)0
15902 4965 y(C...Print)i(cross)e(sections)i(and)e(histograms.)308
15903 5074 y(CALL)g(PYSTAT\(1\))308 5182 y(CALL)g(HISTDO)308
15904 5399 y(END)146 5561 y Fw(Here)32 b(102,)f(123)g(and)h(124)e(are)i(the)g
15905 (three)g(main)d(Higgs)i(pro)s(duction)g(graphs)g(gg)e
15906 Fn(!)e Fw(H,)32 b(ZZ)27 b Fn(!)g Fw(H,)0 5669 y(and)47
15907 b(WW)55 b Fn(!)d Fw(H,)f(and)c Fq(MSUB\(ISUB\)=1)j Fw(is)d(the)g
15908 (command)f(to)h(switc)m(h)h(on)f(pro)s(cess)h Fq(ISUB)p
15909 Fw(.)h(F)-8 b(ull)1841 5953 y(41)p eop
15910 %%Page: 42 48
15911 42 47 bop 0 -18 a Fw(freedom)35 b(to)h(com)m(bine)f(subpro)s(cesses)k
15912 (`\022)-49 b(a)35 b(la)g(carte')h(is)f(ensured)i(b)m(y)h
15913 Fq(MSEL=0)p Fw(;)h(ready-made)d(`men)m(us')0 90 y(can)c(b)s(e)g
15914 (ordered)g(with)f(other)h Fq(MSEL)h Fw(n)m(um)m(b)s(ers.)44
15915 b(The)33 b Fq(PMAS)f Fw(commands)f(set)i(the)f(masses)g(of)g(the)g(top)
15916 0 198 y(quark)40 b(and)e(the)i(Higgs)e(itself,)h(and)g(the)g
15917 Fq(CKIN)g Fw(v)-5 b(ariables)38 b(the)h(desired)g(mass)g(range)g(of)f
15918 (the)h(Higgs)0 307 y(|)34 b(a)g(Higgs)f(with)h(a)g(300)g(GeV)g(nominal)
15919 d(mass)k(actually)e(has)h(a)g(fairly)f(broad)h(Breit{Wigner)f(t)m(yp)s
15920 (e)0 415 y(mass)f(distribution.)42 b(The)33 b Fq(MSTP)h
15921 Fw(switc)m(hes)g(that)e(come)g(next)h(are)g(there)g(to)f(mo)s(dify)e
15922 (the)j(generation)0 523 y(pro)s(cedure,)d(in)d(this)h(case)h(to)f
15923 (switc)m(h)h(o\013)e(initial-)d(and)k(\014nal-state)g(radiation,)f(m)m
15924 (ultiple)e(in)m(teractions)0 632 y(among)c(b)s(eam)h(jets,)j(and)d
15925 (fragmen)m(tation,)h(to)f(giv)m(e)g(only)g(the)h(`parton)f(sk)m
15926 (eleton')i(of)e(the)h(hard)f(pro)s(cess.)0 740 y(The)28
15927 b Fq(PYINIT)h Fw(call)c(initializes)f Fm(Pythia)p Fw(,)k(b)m(y)g
15928 (\014nding)f(maxima)d(of)j(cross)h(sections,)h(recalculating)c(the)0
15929 848 y(Higgs)30 b(deca)m(y)i(prop)s(erties)f(\(whic)m(h)g(dep)s(end)h
15930 (on)e(the)h(Higgs)f(mass\),)h(etc.)44 b(The)31 b(deca)m(y)i(prop)s
15931 (erties)d(can)0 957 y(b)s(e)j(listed)e(with)i Fq(PYSTAT\(2\))p
15932 Fw(.)146 1065 y(Inside)41 b(the)f(ev)m(en)m(t)h(lo)s(op,)f
15933 Fq(PYEVNT)i Fw(is)d(called)g(to)g(generate)h(an)g(ev)m(en)m(t,)k(and)39
15934 b Fq(LULIST\(1\))k Fw(to)c(list)0 1173 y(the)29 b(ev)m(en)m(t.)45
15935 b(The)29 b(information)d(used)k(b)m(y)i Fq(LULIST\(1\))f
15936 Fw(is)d(the)i(ev)m(en)m(t)g(record,)h(stored)e(in)f(the)i(common)0
15937 1282 y(blo)s(c)m(k)24 b Fq(LUJETS)p Fw(.)i(Here)f(one)g(\014nds)g(all)d
15938 (pro)s(duced)k(particles,)f(b)s(oth)f(\014nal)f(and)i(in)m(termediate)e
15939 (ones,)k(with)0 1390 y(information)35 b(on)i(particle)g(sp)s(ecies)h
15940 (and)g(ev)m(en)m(t)i(history)d(\()p Fq(K)h Fw(arra)m(y\),)h(particle)e
15941 (momen)m(ta)g(\()p Fq(P)g Fw(arra)m(y\))0 1498 y(and)g(pro)s(duction)f
15942 (v)m(ertices)i(\()p Fq(V)f Fw(arra)m(y\).)55 b(In)37
15943 b(the)h(lo)s(op)d(o)m(v)m(er)j(all)c(particles)i(pro)s(duced,)j
15944 Fq(1)e Fw(through)f Fq(N)p Fw(,)0 1607 y(the)d(Higgs)f(particle)f(is)h
15945 (found)h(b)m(y)g(its)f(co)s(de,)h Fq(K\(I,2\)=25)p Fw(,)i(and)e(its)f
15946 (mass)h(is)f(stored)h(in)f Fq(P\(I,5\))p Fw(.)146 1715
15947 y(After)38 b(all)e(ev)m(en)m(ts)k(ha)m(v)m(e)f(b)s(een)f(generated,)i
15948 Fq(PYSTAT\(1\))g Fw(giv)m(es)e(a)f(summary)h(of)f(the)h(n)m(um)m(b)s
15949 (er)g(of)0 1823 y(ev)m(en)m(ts)d(generated)e(in)f(the)h(v)-5
15950 b(arious)32 b(allo)m(w)m(ed)g(c)m(hannels,)h(and)g(the)g(inferred)f
15951 (cross)i(sections.)146 1932 y(In)f(the)g(run)g(ab)s(o)m(v)m(e,)h(a)e(t)
15952 m(ypical)g(ev)m(en)m(t)i(listing)c(migh)m(t)h(lo)s(ok)h(lik)m(e)g(the)h
15953 (follo)m(wing.)1282 2121 y Fq(Event)52 b(listing)h(\(summary\))205
15954 2338 y(I)103 b(particle/jet)259 b(KF)206 b(p_x)308 b(p_y)h(p_z)359
15955 b(E)411 b(m)205 2555 y(1)103 b(!p+!)565 b(2212)206 b(0.000)g(0.000)53
15956 b(8000.000)g(8000.000)208 b(0.938)205 2663 y(2)103 b(!p+!)565
15957 b(2212)206 b(0.000)g(0.000-8000.000)55 b(8000.000)208
15958 b(0.938)51 2771 y(========================)q(====)q(===)q(====)q(====)q
15959 (====)q(===)q(====)q(====)q(====)q(====)q(===)q(====)q(=)205
15960 2880 y(3)103 b(!g!)718 b(21)155 b(-0.505)g(-0.229)h(28.553)f(28.558)207
15961 b(0.000)205 2988 y(4)103 b(!g!)718 b(21)206 b(0.224)g(0.041)53
15962 b(-788.073)105 b(788.073)207 b(0.000)205 3096 y(5)103
15963 b(!g!)718 b(21)155 b(-0.505)g(-0.229)h(28.553)f(28.558)207
15964 b(0.000)205 3205 y(6)103 b(!g!)718 b(21)206 b(0.224)g(0.041)53
15965 b(-788.073)105 b(788.073)207 b(0.000)205 3313 y(7)103
15966 b(!H0!)667 b(25)155 b(-0.281)g(-0.188)53 b(-759.520)105
15967 b(816.631)f(300.027)205 3421 y(8)f(!W+!)667 b(24)103
15968 b(120.648)156 b(35.239)53 b(-397.843)105 b(424.829)155
15969 b(80.023)205 3530 y(9)103 b(!W-!)616 b(-24)52 b(-120.929)105
15970 b(-35.426)53 b(-361.677)105 b(391.801)155 b(82.579)154
15971 3638 y(10)103 b(!e+!)616 b(-11)155 b(12.922)g(-4.760)53
15972 b(-160.940)105 b(161.528)207 b(0.001)154 3746 y(11)103
15973 b(!nu_e!)565 b(12)103 b(107.726)156 b(39.999)53 b(-236.903)105
15974 b(263.302)207 b(0.000)154 3855 y(12)103 b(!s!)770 b(3)102
15975 b(-62.423)207 b(7.195)53 b(-256.713)105 b(264.292)207
15976 b(0.199)154 3963 y(13)103 b(!c~!)667 b(-4)103 b(-58.506)i(-42.621)53
15977 b(-104.963)105 b(127.509)207 b(1.350)51 4071 y
15978 (========================)q(====)q(===)q(====)q(====)q(====)q(===)q
15979 (====)q(====)q(====)q(====)q(===)q(====)q(=)154 4180
15980 y(14)103 b(\(H0\))667 b(25)155 b(-0.281)g(-0.188)53 b(-759.520)105
15981 b(816.631)f(300.027)154 4288 y(15)f(\(W+\))667 b(24)103
15982 b(120.648)156 b(35.239)53 b(-397.843)105 b(424.829)155
15983 b(80.023)154 4396 y(16)103 b(\(W-\))616 b(-24)52 b(-120.929)105
15984 b(-35.426)53 b(-361.677)105 b(391.801)155 b(82.579)154
15985 4505 y(17)103 b(e+)718 b(-11)155 b(12.922)g(-4.760)53
15986 b(-160.940)105 b(161.528)207 b(0.001)154 4613 y(18)103
15987 b(nu_e)667 b(12)103 b(107.726)156 b(39.999)53 b(-236.903)105
15988 b(263.302)207 b(0.000)154 4721 y(19)103 b(s)462 b(A)359
15989 b(3)102 b(-62.423)207 b(7.195)53 b(-256.713)105 b(264.292)207
15990 b(0.199)154 4830 y(20)103 b(c~)411 b(V)307 b(-4)103 b(-58.506)i
15991 (-42.621)53 b(-104.963)105 b(127.509)207 b(1.350)154
15992 4938 y(21)103 b(ud_1)309 b(A)205 b(2103)155 b(-0.101)206
15993 b(0.176)53 b(7971.328)g(7971.328)208 b(0.771)154 5046
15994 y(22)103 b(d)462 b(V)359 b(1)154 b(-0.316)206 b(0.001)104
15995 b(-87.390)156 b(87.390)207 b(0.010)154 5155 y(23)103
15996 b(u)462 b(A)359 b(2)205 b(0.606)h(0.052)156 b(-0.751)206
15997 b(0.967)h(0.006)154 5263 y(24)103 b(uu_1)309 b(V)205
15998 b(2203)h(0.092)155 b(-0.042-7123.668)55 b(7123.668)208
15999 b(0.771)51 5371 y(========================)q(====)q(===)q(====)q(====)q
16000 (====)q(===)q(====)q(====)q(====)q(====)q(===)q(====)q(=)820
16001 5480 y(sum:)104 b(2.00)257 b(0.00)h(0.00)f(0.00)52 b(15999.98)i
16002 (15999.98)0 5669 y Fw(The)29 b(ab)s(o)m(v)m(e)h(ev)m(en)m(t)g(listing)c
16003 (is)i(abnormally)e(short,)k(in)d(part)i(b)s(ecause)h(some)e(columns)g
16004 (of)g(information)1841 5953 y(42)p eop
16005 %%Page: 43 49
16006 43 48 bop 0 -18 a Fw(w)m(ere)31 b(remo)m(v)m(ed)f(to)f(mak)m(e)h(it)e
16007 (\014t)i(in)m(to)e(this)h(text,)i(in)e(part)g(b)s(ecause)i(all)c
16008 (initial-)f(and)j(\014nal-state)g(QCD)0 90 y(radiation,)37
16009 b(all)f(non-trivial)f(b)s(eam)i(jet)h(structure,)i(and)e(all)e(fragmen)
16010 m(tation)g(w)m(as)j(inhibited)d(in)h(the)0 198 y(generation.)69
16011 b(Therefore)43 b(only)e(the)g(sk)m(eleton)i(of)d(the)i(pro)s(cess)h(is)
16012 e(visible.)68 b(In)42 b(lines)f(1)g(and)g(2)g(one)0 307
16013 y(recognizes)30 b(the)f(t)m(w)m(o)h(incoming)d(protons.)43
16014 b(In)29 b(lines)f(3)h(and)g(4)g(are)g(incoming)e(partons)j(b)s(efore)f
16015 (initial-)0 415 y(state)h(radiation)d(and)j(in)f(5)g(and)h(6)f(after)g
16016 (|)g(since)h(there)g(is)f(no)h(suc)m(h)h(radiation)c(they)k(coincide)e
16017 (here.)0 523 y(Line)j(7)g(sho)m(ws)h(the)g(Higgs)e(pro)s(duced)i(b)m(y)
16018 h(gg)f(fusion,)e(8)h(and)h(9)f(its)f(deca)m(y)j(pro)s(ducts)f(and)f
16019 (10{13)f(the)0 632 y(second-step)37 b(deca)m(y)f(pro)s(ducts.)52
16020 b(Up)35 b(to)g(this)f(p)s(oin)m(t)h(lines)f(giv)m(e)h(a)f(summary)h(of)
16021 f(the)i(ev)m(en)m(t)h(history)-8 b(,)0 740 y(indicated)36
16022 b(b)m(y)h(the)g(exclamation)e(marks)i(that)f(surround)i(particle)d
16023 (names)i(\(and)f(also)g(re\015ected)i(in)0 848 y(the)29
16024 b Fq(K\(I,1\))h Fw(co)s(de,)g(not)e(sho)m(wn\).)44 b(F)-8
16025 b(rom)27 b(line)g(14)h(on)m(w)m(ards)i(come)f(the)g(particles)e
16026 (actually)h(pro)s(duced)0 957 y(in)41 b(the)g(\014nal)g(states,)j
16027 (\014rst)e(in)e(lines)h(14{16)f(particles)g(that)i(subsequen)m(tly)i
16028 (deca)m(y)m(ed,)h(whic)m(h)d(ha)m(v)m(e)0 1065 y(their)g(names)h
16029 (surrounded)h(b)m(y)g(brac)m(k)m(ets,)k(and)42 b(\014nally)g(the)h
16030 (particles)f(and)h(jets)g(left)f(in)g(the)i(end,)0 1173
16031 y(including)35 b(b)s(eam)h(remnan)m(ts.)56 b(Here)37
16032 b(this)g(also)f(includes)g(a)g(n)m(um)m(b)s(er)i(of)e(unfragmen)m(ted)h
16033 (jets,)h(since)0 1282 y(fragmen)m(tation)25 b(w)m(as)j(inhibited.)40
16034 b(Ordinarily)-8 b(,)25 b(the)j(listing)c(w)m(ould)j(ha)m(v)m(e)h(gone)f
16035 (on)g(for)f(a)h(few)g(h)m(undred)0 1390 y(more)38 b(lines,)i(with)e
16036 (the)h(particles)f(pro)s(duced)i(in)e(the)h(fragmen)m(tation)e(and)i
16037 (their)f(deca)m(y)j(pro)s(ducts.)0 1498 y(The)48 b(\014nal)e(line)f
16038 (giv)m(es)i(total)f(c)m(harge)h(and)g(momen)m(tum,)i(as)e(a)f(con)m(v)m
16039 (enien)m(t)j(c)m(hec)m(k)g(that)d(nothing)0 1607 y(unexp)s(ected)37
16040 b(happ)s(ened.)50 b(The)36 b(\014rst)f(column)e(of)h(the)h(listing)d
16041 (is)i(just)h(a)f(coun)m(ter,)i(the)f(second)h(giv)m(es)0
16042 1715 y(the)e(particle)e(name)h(and)g(information)d(on)k(status)g(and)f
16043 (string)g(dra)m(wing)g(\(the)h Fq(A)f Fw(and)h Fq(V)p
16044 Fw(\),)f(the)h(third)0 1823 y(the)j(particle-\015a)m(v)m(our)f(co)s(de)
16045 h(\(whic)m(h)h(is)e(used)i(to)f(giv)m(e)f(the)i(name\),)f(and)g(the)g
16046 (subsequen)m(t)j(columns)0 1932 y(giv)m(e)33 b(the)g(momen)m(tum)e
16047 (comp)s(onen)m(ts.)146 2040 y(One)g(of)e(the)i(main)d(problems)i(is)f
16048 (to)h(select)h(kinematics)e(e\016cien)m(tly)-8 b(.)43
16049 b(Imagine)29 b(for)g(instance)i(that)0 2148 y(one)f(is)g(in)m(terested)
16050 h(in)e(the)i(pro)s(duction)e(of)h(a)g(single)f(Z)h(with)f(a)h(transv)m
16051 (erse)i(momen)m(tum)d(in)g(excess)k(of)0 2257 y(50)d(GeV.)g(If)h(one)g
16052 (tries)f(to)g(generate)h(the)g(inclusiv)m(e)f(sample)f(of)h(Z)g(ev)m
16053 (en)m(ts,)k(b)m(y)d(the)g(basic)f(pro)s(duction)0 2365
16054 y(graphs)35 b(q)p 368 2312 52 4 v(q)e Fn(!)e Fw(Z,)k(then)g(most)f(ev)m
16055 (en)m(ts)k(will)32 b(ha)m(v)m(e)k(lo)m(w)f(transv)m(erse)i(momen)m(ta)c
16056 (and)i(will)e(ha)m(v)m(e)j(to)e(b)s(e)0 2473 y(discarded.)57
16057 b(That)37 b(an)m(y)h(of)e(the)h(desired)h(ev)m(en)m(ts)h(are)e(pro)s
16058 (duced)g(at)g(all)e(is)h(due)h(to)g(the)g(initial-state)0
16059 2582 y(generation)j(mac)m(hinery)-8 b(,)43 b(whic)m(h)e(can)g(build)f
16060 (up)h(transv)m(erse)i(momen)m(ta)d(for)g(the)i(incoming)c(q)j(and)p
16061 0 2637 V 0 2690 a(q.)52 b(Ho)m(w)m(ev)m(er,)38 b(the)d(amoun)m(t)g(of)g
16062 (initial-state)c(radiation)i(cannot)i(b)s(e)g(constrained)h(b)s
16063 (eforehand.)51 b(T)-8 b(o)0 2798 y(increase)44 b(the)g(e\016ciency)-8
16064 b(,)47 b(one)d(ma)m(y)f(therefore)h(turn)f(to)g(the)h(higher-order)f
16065 (pro)s(cesses)i(qg)j Fn(!)d Fw(Zq)0 2907 y(and)39 b(q)p
16066 247 2854 V(q)i Fn(!)d Fw(Zg)q(,)j(where)g(already)d(the)i(hard)g
16067 (subpro)s(cess)h(giv)m(es)f(a)f(transv)m(erse)i(momen)m(tum)d(to)h(the)
16068 0 3015 y(Z.)59 b(This)38 b(transv)m(erse)i(momen)m(tum)c(can)i(b)s(e)g
16069 (constrained)g(as)g(one)g(wishes,)i(but)e(again)f(initial-)c(and)0
16070 3123 y(\014nal-state)40 b(radiation)e(will)g(smear)i(the)h(picture.)67
16071 b(If)40 b(one)h(w)m(ere)h(to)e(set)h(a)f Fj(p)2889 3138
16072 y Fk(?)2989 3123 y Fw(cut)h(at)f(50)g(GeV)g(for)0 3232
16073 y(the)30 b(hard-pro)s(cess)h(generation,)f(those)g(ev)m(en)m(ts)i
16074 (where)f(the)f(Z)f(w)m(as)i(giv)m(en)f(only)f(40)h(GeV)f(in)g(the)h
16075 (hard)0 3340 y(pro)s(cess)35 b(but)e(got)g(the)h(rest)g(from)e
16076 (initial-state)e(radiation)h(w)m(ould)i(b)s(e)h(missed.)46
16077 b(Not)33 b(only)g(therefore)0 3448 y(w)m(ould)g(cross)h(sections)f
16078 (come)g(out)g(wrong,)g(but)g(so)g(migh)m(t)f(the)h(t)m(ypical)f(ev)m
16079 (en)m(t)j(shap)s(es.)46 b(In)33 b(the)h(end,)0 3557 y(it)g(is)h
16080 (therefore)g(necessary)j(to)d(\014nd)g(some)g(reasonable)g(compromise,)
16081 f(b)m(y)i(starting)f(the)g(generation)0 3665 y(at)g(30)f(GeV,)h(sa)m(y)
16082 -8 b(,)36 b(if)e(one)h(kno)m(ws)i(that)d(only)h(rarely)f(do)h(ev)m(en)m
16083 (ts)i(b)s(elo)m(w)e(this)f(v)-5 b(alue)35 b(\015uctuate)h(up)f(to)0
16084 3774 y(50)28 b(GeV.)h(Of)f(course,)j(most)d(ev)m(en)m(ts)j(will)26
16085 b(therefore)j(not)g(con)m(tain)f(a)h(Z)f(ab)s(o)m(v)m(e)h(50)f(GeV,)h
16086 (and)g(one)g(will)0 3882 y(ha)m(v)m(e)40 b(to)d(liv)m(e)h(with)g(some)g
16087 (ine\016ciency)-8 b(.)61 b(It)38 b(is)g(not)g(uncommon)f(that)h(only)g
16088 (one)g(ev)m(en)m(t)i(out)e(of)g(ten)0 3990 y(can)33 b(b)s(e)g(used,)g
16089 (and)g(o)s(ccasionally)e(it)g(can)i(b)s(e)g(ev)m(en)h(w)m(orse.)146
16090 4099 y(If)24 b(it)f(is)h(di\016cult)f(to)h(set)h(kinematics,)g(it)e(is)
16091 g(often)h(easier)g(to)g(set)h(the)f(\015a)m(v)m(our)h(con)m(ten)m(t)h
16092 (of)d(a)h(pro)s(cess.)0 4207 y(In)38 b(a)g(Higgs)f(study)-8
16093 b(,)41 b(one)d(migh)m(t)f(wish,)j(for)d(example,)i(to)f(consider)g(the)
16094 h(deca)m(y)g(H)3112 4171 y Fl(0)3189 4207 y Fn(!)d Fw(Z)3385
16095 4171 y Fl(0)3424 4207 y Fw(Z)3484 4171 y Fl(0)3523 4207
16096 y Fw(,)k(with)0 4315 y(eac)m(h)d(Z)283 4279 y Fl(0)356
16097 4315 y Fn(!)c Fw(e)532 4279 y Fl(+)591 4315 y Fw(e)634
16098 4279 y Fk(\000)729 4315 y Fw(or)j Fj(\026)911 4279 y
16099 Fl(+)970 4315 y Fj(\026)1029 4279 y Fk(\000)1088 4315
16100 y Fw(.)53 b(It)36 b(is)g(therefore)h(necessary)h(to)e(inhibit)d(all)h
16101 (other)i(H)3137 4279 y Fl(0)3213 4315 y Fw(and)g(Z)3466
16102 4279 y Fl(0)3541 4315 y Fw(deca)m(y)0 4424 y(c)m(hannels,)g(and)f(also)
16103 f(to)g(adjust)h(cross)h(sections)f(to)g(tak)m(e)g(in)m(to)f(accoun)m(t)
16104 i(this)e(c)m(hange,)i(all)d(of)h(whic)m(h)0 4532 y(is)g(fairly)f
16105 (straigh)m(tforw)m(ard.)49 b(Ho)m(w)m(ev)m(er,)38 b(if)33
16106 b(one)i(w)m(an)m(ted)h(to)e(consider)h(instead)g(the)g(deca)m(y)h(Z)
16107 3465 4496 y Fl(0)3535 4532 y Fn(!)31 b Fw(c)p 3709 4479
16108 44 4 v(c,)0 4640 y(with)c(a)g(D)g(meson)h(pro)s(ducing)e(a)i(lepton,)g
16109 (not)f(only)g(w)m(ould)g(there)h(then)h(b)s(e)e(the)h(problem)e(of)h
16110 (di\013eren)m(t)0 4749 y(leptonic)40 b(branc)m(hing)i(ratios)e(for)h
16111 (di\013eren)m(t)g(D:s)h(\(whic)m(h)g(means)f(that)g(fragmen)m(tation)f
16112 (and)h(deca)m(y)0 4857 y(treatmen)m(ts)c(w)m(ould)g(no)g(longer)e
16113 (decouple\),)k(but)e(also)e(that)i(of)f(additional)e(c)p
16114 2913 4804 V(c)j(pair)f(pro)s(duction)g(in)0 4965 y(parton-sho)m(w)m(er)
16115 28 b(ev)m(olution,)g(at)f(a)f(rate)i(that)f(is)f(unkno)m(wn)j(b)s
16116 (eforehand.)42 b(In)28 b(practice,)g(it)e(is)h(therefore)0
16117 5074 y(imp)s(ossible)j(to)j(force)f(D)g(deca)m(y)i(mo)s(des)f(in)e(a)i
16118 (consisten)m(t)g(manner.)1841 5953 y(43)p eop
16119 %%Page: 44 50
16120 44 49 bop 0 -18 a Ft(4)161 b(Mon)l(te)52 b(Carlo)j(T)-13
16121 b(ec)l(hniques)0 189 y Fw(Quan)m(tum)45 b(mec)m(hanics)g(in)m(tro)s
16122 (duces)h(a)f(concept)h(of)e(randomness)i(in)e(the)i(b)s(eha)m(viour)f
16123 (of)g(ph)m(ysical)0 297 y(pro)s(cesses.)67 b(The)40 b(virtue)g(of)f(ev)
16124 m(en)m(t)i(generators)g(is)e(that)g(this)g(randomness)i(can)e(b)s(e)h
16125 (sim)m(ulated)f(b)m(y)0 405 y(the)30 b(use)g(of)f(Mon)m(te)h(Carlo)f
16126 (tec)m(hniques.)44 b(In)30 b(the)g(pro)s(cess,)h(the)f(program)e
16127 (authors)h(ha)m(v)m(e)i(to)e(use)i(some)0 514 y(ingen)m(uit)m(y)j(to)f
16128 (\014nd)i(the)f(most)f(e\016cien)m(t)i(w)m(a)m(y)g(to)f(sim)m(ulate)e
16129 (an)i(assumed)g(probabilit)m(y)e(distribution.)0 622
16130 y(A)37 b(detailed)f(description)h(of)g(p)s(ossible)g(tec)m(hniques)i(w)
16131 m(ould)e(carry)g(us)h(to)s(o)f(far,)h(but)f(in)f(this)h(section)0
16132 730 y(some)44 b(of)g(the)h(most)f(frequen)m(tly)i(used)g(approac)m(hes)
16133 g(are)e(presen)m(ted,)50 b(since)45 b(they)h(will)c(app)s(ear)i(in)0
16134 839 y(discussions)33 b(in)f(subsequen)m(t)k(sections.)44
16135 b(F)-8 b(urther)33 b(examples)f(ma)m(y)g(b)s(e)h(found)g(e.g.)44
16136 b(in)31 b([Jam80)o(].)146 947 y(First)i(of)g(all)f(one)i(assumes)h(the)
16137 f(existence)h(of)f(a)f(random)g(n)m(um)m(b)s(er)h(generator.)47
16138 b(This)34 b(is)f(a)h(\(F)-8 b(or-)0 1055 y(tran\))35
16139 b(function)g(whic)m(h,)i(eac)m(h)f(time)f(it)f(is)h(called,)g(returns)i
16140 (a)e(n)m(um)m(b)s(er)h Fj(R)g Fw(in)f(the)h(range)f(b)s(et)m(w)m(een)j
16141 (0)0 1164 y(and)27 b(1,)h(suc)m(h)h(that)d(the)i(inclusiv)m(e)e
16142 (distribution)f(of)i(n)m(um)m(b)s(ers)h Fj(R)g Fw(is)e(\015at)h(in)f
16143 (the)i(range,)g(and)f(suc)m(h)i(that)0 1272 y(di\013eren)m(t)40
16144 b(n)m(um)m(b)s(ers)h Fj(R)g Fw(are)e(uncorrelated.)66
16145 b(The)40 b(random)f(n)m(um)m(b)s(er)h(generator)g(that)g(comes)g(with)0
16146 1380 y Fm(Jetset)31 b Fw(is)i(describ)s(ed)g(at)f(the)h(end)g(of)g
16147 (this)f(section,)h(and)f(w)m(e)i(defer)f(the)g(discussion)g(un)m(til)e
16148 (then.)0 1654 y Fp(4.1)135 b(Selection)46 b(F)-11 b(rom)45
16149 b(a)g(Distribution)0 1827 y Fw(The)i(situation)d(that)h(is)h(probably)f
16150 (most)g(common)f(is)i(that)f(w)m(e)i(kno)m(w)g(a)e(function)g
16151 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))46 b(whic)m(h)0 1935 y(is)c(non-negativ)
16152 m(e)h(in)f(the)i(allo)m(w)m(ed)e Fj(x)h Fw(range)g Fj(x)1782
16153 1950 y Fl(min)1950 1935 y Fn(\024)i Fj(x)h Fn(\024)g
16154 Fj(x)2351 1950 y Fl(max)2487 1935 y Fw(.)74 b(W)-8 b(e)44
16155 b(w)m(an)m(t)g(to)e(select)i(an)e Fj(x)i Fw(`at)0 2044
16156 y(random')29 b(so)g(that)h(the)g(probabilit)m(y)d(for)i(a)g(giv)m(en)h
16157 Fj(x)g Fw(is)f(prop)s(ortional)e(to)i Fj(f)11 b Fw(\()p
16158 Fj(x)p Fw(\).)43 b(Here)30 b Fj(f)11 b Fw(\()p Fj(x)p
16159 Fw(\))29 b(migh)m(t)f(b)s(e)0 2152 y(a)i(fragmen)m(tation)f(function,)h
16160 (a)g(di\013eren)m(tial)f(cross)i(section,)g(or)f(an)m(y)h(of)f(a)g(n)m
16161 (um)m(b)s(er)h(of)f(distributions.)146 2260 y(One)c(do)s(es)h(not)e(ha)
16162 m(v)m(e)i(to)e(assume)i(that)e(the)h(in)m(tegral)e(of)i
16163 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))25 b(is)g(explicitly)f(normalized)g(to)h
16164 (unit)m(y:)0 2369 y(b)m(y)37 b(the)f(Mon)m(te)g(Carlo)f(pro)s(cedure)i
16165 (of)e(pic)m(king)g(exactly)h(one)g(accepted)h Fj(x)f
16166 Fw(v)-5 b(alue,)36 b(normalization)c(is)0 2477 y(implicit)h(in)j(the)h
16167 (\014nal)e(result.)56 b(Sometimes)35 b(the)i(in)m(tegral)e(of)h
16168 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))37 b(do)s(es)g(carry)g(a)f(ph)m(ysics)i
16169 (con)m(ten)m(t)0 2585 y(of)i(its)g(o)m(wn,)j(as)d(part)h(of)e(an)i(o)m
16170 (v)m(erall)e(w)m(eigh)m(t)i(factor)f(w)m(e)h(w)m(an)m(t)h(to)e(k)m(eep)
16171 i(trac)m(k)f(of.)66 b(Consider,)43 b(for)0 2694 y(instance,)50
16172 b(the)d(case)g(when)g Fj(x)g Fw(represen)m(ts)h(one)f(or)f(sev)m(eral)h
16173 (phase-space)g(v)-5 b(ariables)45 b(and)i Fj(f)11 b Fw(\()p
16174 Fj(x)p Fw(\))46 b(a)0 2802 y(di\013eren)m(tial)39 b(cross)k(section;)i
16175 (here)d(the)g(in)m(tegral)e(has)h(a)g(meaning)f(of)h(total)f(cross)i
16176 (section)f(for)g(the)0 2910 y(pro)s(cess)35 b(studied.)46
16177 b(The)34 b(task)g(of)f(a)g(Mon)m(te)i(Carlo)d(is)h(then,)h(on)g(the)f
16178 (one)h(hand,)g(to)f(generate)h(ev)m(en)m(ts)0 3019 y(one)d(at)e(a)h
16179 (time,)g(and,)h(on)f(the)h(other)f(hand,)h(to)f(estimate)f(the)i(total)
16180 e(cross)i(section.)43 b(The)31 b(discussion)0 3127 y(of)h(this)g(imp)s
16181 (ortan)m(t)f(example)h(is)g(deferred)i(to)e(section)h(7.4.)146
16182 3235 y(If)j(it)e(is)h(p)s(ossible)g(to)g(\014nd)g(a)h(primitiv)m(e)d
16183 (function)i Fj(F)14 b Fw(\()p Fj(x)p Fw(\))35 b(whic)m(h)h(has)g(a)f
16184 (kno)m(wn)h(in)m(v)m(erse)h Fj(F)3527 3199 y Fk(\000)p
16185 Fl(1)3621 3235 y Fw(\()p Fj(x)p Fw(\),)0 3344 y(an)32
16186 b Fj(x)h Fw(can)g(b)s(e)g(found)g(as)g(follo)m(ws)e(\(metho)s(d)h(1\):)
16187 1306 3479 y Fg(Z)1389 3505 y Fh(x)1352 3667 y(x)1392
16188 3678 y Ff(min)1517 3596 y Fj(f)11 b Fw(\()p Fj(x)p Fw(\))17
16189 b(d)p Fj(x)28 b Fw(=)g Fj(R)2057 3479 y Fg(Z)2140 3505
16190 y Fh(x)2180 3513 y Ff(max)2103 3667 y Fh(x)2143 3678
16191 y Ff(min)2317 3596 y Fj(f)11 b Fw(\()p Fj(x)p Fw(\))17
16192 b(d)p Fj(x)783 3814 y Fw(=)-17 b Fn(\))83 b Fj(x)28 b
16193 Fw(=)f Fj(F)1288 3778 y Fk(\000)p Fl(1)1382 3814 y Fw(\()p
16194 Fj(F)14 b Fw(\()p Fj(x)1590 3829 y Fl(min)1712 3814 y
16195 Fw(\))22 b(+)g Fj(R)q Fw(\()p Fj(F)14 b Fw(\()p Fj(x)2153
16196 3829 y Fl(max)2289 3814 y Fw(\))22 b Fn(\000)g Fj(F)14
16197 b Fw(\()p Fj(x)2618 3829 y Fl(min)2740 3814 y Fw(\)\)\))33
16198 b Fj(:)741 b Fw(\(2\))0 4022 y(The)32 b(statemen)m(t)f(of)g(the)g
16199 (\014rst)h(line)d(is)i(that)f(a)h(fraction)f Fj(R)i Fw(of)e(the)i
16200 (total)d(area)i(under)h Fj(f)11 b Fw(\()p Fj(x)p Fw(\))30
16201 b(should)h(b)s(e)0 4130 y(to)h(the)h(left)e(of)h Fj(x)p
16202 Fw(.)44 b(Ho)m(w)m(ev)m(er,)35 b(seldom)c(are)h(functions)h(of)e(in)m
16203 (terest)i(so)g(nice)f(that)g(the)h(metho)s(d)f(ab)s(o)m(v)m(e)0
16204 4239 y(w)m(orks.)45 b(It)33 b(is)f(therefore)h(necessary)i(to)d(use)h
16205 (more)f(complicated)f(sc)m(hemes.)146 4347 y(Sp)s(ecial)39
16206 b(tric)m(ks)h(can)h(sometimes)e(b)s(e)h(found.)65 b(Consider)41
16207 b(e.g.)65 b(the)41 b(generation)e(of)g(a)h(Gaussian)0
16208 4455 y Fj(f)11 b Fw(\()p Fj(x)p Fw(\))41 b(=)f(exp)q(\()p
16209 Fn(\000)p Fj(x)666 4419 y Fl(2)706 4455 y Fw(\).)66 b(This)41
16210 b(function)e(is)h(not)g(in)m(tegrable,)h(but)f(if)f(w)m(e)j(com)m(bine)
16211 d(it)g(with)h(the)h(same)0 4564 y(Gaussian)22 b(distribution)e(of)i(a)g
16212 (second)i(v)-5 b(ariable)20 b Fj(y)t Fw(,)k(it)d(is)h(p)s(ossible)g(to)
16213 g(transform)f(to)h(p)s(olar)f(co)s(ordinates)628 4772
16214 y Fj(f)11 b Fw(\()p Fj(x)p Fw(\))17 b(d)p Fj(x)g(f)11
16215 b Fw(\()p Fj(y)t Fw(\))17 b(d)p Fj(y)29 b Fw(=)e(exp)q(\()p
16216 Fn(\000)p Fj(x)1718 4731 y Fl(2)1781 4772 y Fn(\000)22
16217 b Fj(y)1932 4731 y Fl(2)1971 4772 y Fw(\))17 b(d)p Fj(x)g
16218 Fw(d)p Fj(y)31 b Fw(=)c Fj(r)20 b Fw(exp)q(\()p Fn(\000)p
16219 Fj(r)2763 4731 y Fl(2)2802 4772 y Fw(\))d(d)p Fj(r)i
16220 Fw(d)p Fj(')33 b(;)503 b Fw(\(3\))0 4980 y(and)38 b(no)m(w)h(the)f
16221 Fj(r)j Fw(and)d Fj(')g Fw(distributions)e(ma)m(y)i(b)s(e)g(easily)f
16222 (generated)i(and)f(recom)m(bined)g(to)g(yield)f Fj(x)p
16223 Fw(.)0 5088 y(A)m(t)c(the)g(same)g(time)e(w)m(e)j(get)e(a)h(second)h(n)
16224 m(um)m(b)s(er)f Fj(y)t Fw(,)f(whic)m(h)h(can)g(also)e(b)s(e)i(used.)45
16225 b(F)-8 b(or)32 b(the)h(generation)0 5196 y(of)e(transv)m(erse)j(momen)m
16226 (ta)c(in)h(fragmen)m(tation,)f(this)h(is)g(v)m(ery)i(con)m(v)m(enien)m
16227 (t,)h(since)e(in)e(fact)i(w)m(e)g(w)m(an)m(t)h(to)0 5305
16228 y(assign)f(t)m(w)m(o)i(transv)m(erse)g(degrees)g(of)e(freedom.)146
16229 5413 y(If)c(the)f(maxim)m(um)e(of)i Fj(f)11 b Fw(\()p
16230 Fj(x)p Fw(\))27 b(is)g(kno)m(wn,)j Fj(f)11 b Fw(\()p
16231 Fj(x)p Fw(\))28 b Fn(\024)g Fj(f)1970 5428 y Fl(max)2133
16232 5413 y Fw(in)e(the)i Fj(x)g Fw(range)f(considered,)i(a)e(hit-or-miss)0
16233 5521 y(metho)s(d)32 b(will)e(alw)m(a)m(ys)j(yield)f(the)h(correct)g
16234 (answ)m(er)h(\(metho)s(d)e(2\):)119 5634 y(1.)49 b(select)25
16235 b(an)g Fj(x)h Fw(with)e(ev)m(en)j(probabilit)m(y)c(in)h(the)i(allo)m(w)
16236 m(ed)e(range,)j(i.e.)40 b Fj(x)28 b Fw(=)g Fj(x)2931
16237 5649 y Fl(min)3060 5634 y Fw(+)7 b Fj(R)q Fw(\()p Fj(x)3311
16238 5649 y Fl(max)3453 5634 y Fn(\000)g Fj(x)3592 5649 y
16239 Fl(min)3714 5634 y Fw(\);)1841 5953 y(44)p eop
16240 %%Page: 45 51
16241 45 50 bop 119 -18 a Fw(2.)49 b(compare)37 b(a)g(\(new\))h
16242 Fj(R)g Fw(with)f(the)h(ratio)e Fj(f)11 b Fw(\()p Fj(x)p
16243 Fw(\))p Fj(=f)2043 -3 y Fl(max)2178 -18 y Fw(;)40 b(if)c
16244 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))p Fj(=f)2626 -3 y Fl(max)2797
16245 -18 y Fn(\024)37 b Fj(R)q Fw(,)h(then)g(reject)g(the)g
16246 Fj(x)244 90 y Fw(v)-5 b(alue)32 b(and)h(return)g(to)f(p)s(oin)m(t)g(1)g
16247 (for)g(a)g(new)i(try;)119 208 y(3.)49 b(otherwise)33
16248 b(the)g(most)f(recen)m(t)i Fj(x)f Fw(v)-5 b(alue)32 b(is)g(retained)g
16249 (as)h(\014nal)f(answ)m(er.)0 321 y(The)26 b(probabilit)m(y)c(that)j
16250 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))p Fj(=f)1174 336 y Fl(max)1337
16251 321 y Fj(>)28 b(R)d Fw(is)g(prop)s(ortional)d(to)i Fj(f)11
16252 b Fw(\()p Fj(x)p Fw(\);)28 b(hence)e(the)f(correct)g(distribution)0
16253 429 y(of)36 b(retained)g Fj(x)h Fw(v)-5 b(alues.)55 b(The)37
16254 b(e\016ciency)h(of)e(this)g(metho)s(d,)h(i.e.)55 b(the)37
16255 b(a)m(v)m(erage)g(probabilit)m(y)d(that)j(an)0 537 y
16256 Fj(x)h Fw(will)c(b)s(e)k(retained,)g(is)f(\()972 466
16257 y Fg(R)1060 537 y Fj(f)11 b Fw(\()p Fj(x)p Fw(\))17 b(d)p
16258 Fj(x)p Fw(\))p Fj(=)p Fw(\()p Fj(f)1549 552 y Fl(max)1685
16259 537 y Fw(\()p Fj(x)1778 552 y Fl(max)1939 537 y Fn(\000)26
16260 b Fj(x)2097 552 y Fl(min)2219 537 y Fw(\)\).)57 b(The)38
16261 b(metho)s(d)f(is)f(acceptable)i(if)e(this)0 646 y(n)m(um)m(b)s(er)d(is)
16262 f(not)g(to)s(o)g(lo)m(w,)g(i.e.)43 b(if)32 b Fj(f)11
16263 b Fw(\()p Fj(x)p Fw(\))32 b(do)s(es)h(not)g(\015uctuate)g(to)s(o)f
16264 (wildly)-8 b(.)146 754 y(V)g(ery)39 b(often)g Fj(f)11
16265 b Fw(\()p Fj(x)p Fw(\))38 b(do)s(es)h(ha)m(v)m(e)h(narro)m(w)e(spik)m
16266 (es,)k(and)c(it)g(ma)m(y)g(not)g(ev)m(en)i(b)s(e)e(p)s(ossible)g(to)g
16267 (de\014ne)0 862 y(an)44 b Fj(f)195 877 y Fl(max)330 862
16268 y Fw(.)78 b(An)44 b(example)f(of)g(the)i(former)d(phenomenon)j(is)e(a)h
16269 (function)f(with)g(a)h(singularit)m(y)e(just)0 971 y(outside)34
16270 b(the)h(allo)m(w)m(ed)f(region,)g(an)h(example)f(of)g(the)h(latter)e
16271 (an)i(in)m(tegrable)e(singularit)m(y)g(just)i(at)f(the)0
16272 1079 y Fj(x)55 1094 y Fl(min)206 1079 y Fw(and/or)28
16273 b Fj(x)582 1094 y Fl(max)747 1079 y Fw(b)s(orders.)42
16274 b(V)-8 b(ariable)27 b(transformations)g(ma)m(y)i(then)g(b)s(e)g(used)g
16275 (to)g(mak)m(e)g(a)f(function)0 1187 y(smo)s(other.)47
16276 b(Th)m(us)36 b(a)e(function)g Fj(f)11 b Fw(\()p Fj(x)p
16277 Fw(\))34 b(whic)m(h)g(blo)m(ws)h(up)f(as)g(1)p Fj(=x)g
16278 Fw(for)g Fj(x)d Fn(!)e Fw(0,)35 b(with)e(an)h Fj(x)3301
16279 1202 y Fl(min)3458 1187 y Fw(close)g(to)0 1296 y(0,)e(w)m(ould)h
16280 (instead)f(b)s(e)h(roughly)f(constan)m(t)i(if)d(transformed)h(to)g(the)
16281 i(v)-5 b(ariable)30 b Fj(y)h Fw(=)d(ln)16 b Fj(x)p Fw(.)146
16282 1404 y(The)32 b(v)-5 b(ariable)28 b(transformation)g(strategy)j(ma)m(y)
16283 f(b)s(e)g(seen)i(as)e(a)g(com)m(bination)f(of)g(metho)s(ds)h(1)g(and)0
16284 1512 y(2,)h(as)g(follo)m(ws.)42 b(Assume)31 b(the)h(existence)g(of)f(a)
16285 f(function)g Fj(g)t Fw(\()p Fj(x)p Fw(\),)h(with)g Fj(f)11
16286 b Fw(\()p Fj(x)p Fw(\))27 b Fn(\024)i Fj(g)t Fw(\()p
16287 Fj(x)p Fw(\))h(o)m(v)m(er)i(the)f Fj(x)g Fw(range)0 1621
16288 y(of)f(in)m(terest.)43 b(Here)32 b Fj(g)t Fw(\()p Fj(x)p
16289 Fw(\))e(is)f(pic)m(k)m(ed)j(to)e(b)s(e)h(a)f(`simple')f(function,)i
16290 (suc)m(h)h(that)e(the)h(primitiv)m(e)d(function)0 1729
16291 y Fj(G)p Fw(\()p Fj(x)p Fw(\))33 b(and)f(its)g(in)m(v)m(erse)i
16292 Fj(G)966 1693 y Fk(\000)p Fl(1)1061 1729 y Fw(\()p Fj(x)p
16293 Fw(\))f(are)f(kno)m(wn.)45 b(Then)34 b(\(metho)s(d)e(3\):)119
16294 1842 y(1.)49 b(select)33 b(an)f Fj(x)h Fw(according)f(to)h(the)g
16295 (distribution)d Fj(g)t Fw(\()p Fj(x)p Fw(\),)i(using)h(metho)s(d)f(1;)
16296 119 1960 y(2.)49 b(compare)37 b(a)g(\(new\))i Fj(R)f
16297 Fw(with)g(the)g(ratio)e Fj(f)11 b Fw(\()p Fj(x)p Fw(\))p
16298 Fj(=g)t Fw(\()p Fj(x)p Fw(\);)39 b(if)d Fj(f)11 b Fw(\()p
16299 Fj(x)p Fw(\))p Fj(=g)t Fw(\()p Fj(x)p Fw(\))36 b Fn(\024)h
16300 Fj(R)q Fw(,)i(then)f(reject)g(the)g Fj(x)244 2068 y Fw(v)-5
16301 b(alue)32 b(and)h(return)g(to)f(p)s(oin)m(t)g(1)g(for)g(a)g(new)i(try;)
16302 119 2186 y(3.)49 b(otherwise)33 b(the)g(most)f(recen)m(t)i
16303 Fj(x)f Fw(v)-5 b(alue)32 b(is)g(retained)g(as)h(\014nal)f(answ)m(er.)0
16304 2299 y(This)j(w)m(orks,)i(since)e(the)g(\014rst)g(step)h(will)c(select)
16305 k Fj(x)f Fw(with)f(a)h(probabilit)m(y)e Fj(g)t Fw(\()p
16306 Fj(x)p Fw(\))17 b(d)p Fj(x)31 b Fw(=)g(d)p Fj(G)p Fw(\()p
16307 Fj(x)p Fw(\))k(and)g(the)0 2408 y(second)28 b(retain)f(this)g(c)m
16308 (hoice)g(with)g(probabilit)m(y)e Fj(f)11 b Fw(\()p Fj(x)p
16309 Fw(\))p Fj(=g)t Fw(\()p Fj(x)p Fw(\).)41 b(The)28 b(total)e(probabilit)
16310 m(y)f(to)i(pic)m(k)g(a)g(v)-5 b(alue)0 2516 y Fj(x)33
16311 b Fw(is)f(then)h(just)g(the)g(pro)s(duct)g(of)f(the)h(t)m(w)m(o,)g
16312 (i.e.)43 b Fj(f)11 b Fw(\()p Fj(x)p Fw(\))17 b(d)p Fj(x)p
16313 Fw(.)146 2624 y(If)37 b Fj(f)11 b Fw(\()p Fj(x)p Fw(\))38
16314 b(has)f(sev)m(eral)h(spik)m(es,)i(metho)s(d)d(3)f(ma)m(y)h(w)m(ork)i
16315 (for)d(eac)m(h)i(spik)m(e)g(separately)-8 b(,)39 b(but)f(it)e(ma)m(y)0
16316 2733 y(not)h(b)s(e)h(p)s(ossible)f(to)g(\014nd)i(a)e
16317 Fj(g)t Fw(\()p Fj(x)p Fw(\))g(that)g(co)m(v)m(ers)j(all)35
16318 b(of)i(them)h(at)f(the)h(same)f(time,)h(and)g(whic)m(h)g(still)0
16319 2841 y(has)30 b(an)g(in)m(v)m(ertible)f(primitiv)m(e)f(function.)42
16320 b(Ho)m(w)m(ev)m(er,)33 b(assume)d(that)g(w)m(e)h(can)f(\014nd)g(a)g
16321 (function)f Fj(g)t Fw(\()p Fj(x)p Fw(\))f(=)0 2883 y
16322 Fg(P)88 2970 y Fh(i)132 2949 y Fj(g)179 2964 y Fh(i)207
16323 2949 y Fw(\()p Fj(x)p Fw(\),)33 b(suc)m(h)h(that)f Fj(f)11
16324 b Fw(\()p Fj(x)p Fw(\))28 b Fn(\024)g Fj(g)t Fw(\()p
16325 Fj(x)p Fw(\))k(o)m(v)m(er)i(the)f Fj(x)g Fw(range)g(considered,)g(and)g
16326 (suc)m(h)h(that)e(the)h(functions)0 3058 y Fj(g)47 3073
16327 y Fh(i)75 3058 y Fw(\()p Fj(x)p Fw(\))f(eac)m(h)i(are)e(non-negativ)m
16328 (e)g(and)h(simple,)e(in)g(the)i(sense)h(that)e(w)m(e)i(can)f(\014nd)f
16329 (primitiv)m(e)e(functions)0 3166 y(and)j(their)f(in)m(v)m(erses.)45
16330 b(In)33 b(that)f(case)i(\(metho)s(d)e(4\):)119 3279 y(1.)49
16331 b(select)33 b(an)f Fj(i)h Fw(at)f(random,)g(with)g(relativ)m(e)g
16332 (probabilit)m(y)f(giv)m(en)i(b)m(y)g(the)g(in)m(tegrals)1194
16333 3391 y Fg(Z)1277 3417 y Fh(x)1317 3425 y Ff(max)1240
16334 3579 y Fh(x)1280 3590 y Ff(min)1454 3508 y Fj(g)1501
16335 3523 y Fh(i)1529 3508 y Fw(\()p Fj(x)p Fw(\))17 b(d)p
16336 Fj(x)28 b Fw(=)g Fj(G)1995 3523 y Fh(i)2023 3508 y Fw(\()p
16337 Fj(x)2116 3523 y Fl(max)2252 3508 y Fw(\))22 b Fn(\000)g
16338 Fj(G)2488 3523 y Fh(i)2517 3508 y Fw(\()p Fj(x)2610 3523
16339 y Fl(min)2732 3508 y Fw(\))32 b(;)826 b(\(4\))119 3754
16340 y(2.)49 b(for)32 b(the)h Fj(i)g Fw(selected,)g(use)h(metho)s(d)e(1)g
16341 (to)g(\014nd)i(an)e Fj(x)p Fw(,)h(i.e.)1024 3944 y Fj(x)c
16342 Fw(=)e Fj(G)1288 3903 y Fk(\000)p Fl(1)1288 3968 y Fh(i)1382
16343 3944 y Fw(\()p Fj(G)1497 3959 y Fh(i)1525 3944 y Fw(\()p
16344 Fj(x)1618 3959 y Fl(min)1741 3944 y Fw(\))22 b(+)g Fj(R)q
16345 Fw(\()p Fj(G)2089 3959 y Fh(i)2117 3944 y Fw(\()p Fj(x)2210
16346 3959 y Fl(max)2346 3944 y Fw(\))g Fn(\000)g Fj(G)2582
16347 3959 y Fh(i)2610 3944 y Fw(\()p Fj(x)2703 3959 y Fl(min)2826
16348 3944 y Fw(\)\)\))32 b(;)656 b(\(5\))119 4138 y(3.)49
16349 b(compare)37 b(a)g(\(new\))i Fj(R)f Fw(with)g(the)g(ratio)e
16350 Fj(f)11 b Fw(\()p Fj(x)p Fw(\))p Fj(=g)t Fw(\()p Fj(x)p
16351 Fw(\);)39 b(if)d Fj(f)11 b Fw(\()p Fj(x)p Fw(\))p Fj(=g)t
16352 Fw(\()p Fj(x)p Fw(\))36 b Fn(\024)h Fj(R)q Fw(,)i(then)f(reject)g(the)g
16353 Fj(x)244 4247 y Fw(v)-5 b(alue)32 b(and)h(return)g(to)f(p)s(oin)m(t)g
16354 (1)g(for)g(a)g(new)i(try;)119 4364 y(4.)49 b(otherwise)33
16355 b(the)g(most)f(recen)m(t)i Fj(x)f Fw(v)-5 b(alue)32 b(is)g(retained)g
16356 (as)h(\014nal)f(answ)m(er.)0 4478 y(This)44 b(is)f(just)h(a)g(trivial)d
16357 (extension)k(of)e(metho)s(d)g(3,)k(where)e(steps)g(1)e(and)h(2)g
16358 (ensure)h(that,)h(on)e(the)0 4586 y(a)m(v)m(erage,)36
16359 b(eac)m(h)g Fj(x)f Fw(v)-5 b(alue)34 b(pic)m(k)m(ed)h(there)h(is)e
16360 (distributed)g(according)g(to)g Fj(g)t Fw(\()p Fj(x)p
16361 Fw(\):)47 b(the)35 b(\014rst)g(step)h(pic)m(ks)f Fj(i)0
16362 4694 y Fw(with)21 b(relativ)m(e)h(probabilit)m(y)1035
16363 4623 y Fg(R)1107 4694 y Fj(g)1154 4709 y Fh(i)1182 4694
16364 y Fw(\()p Fj(x)p Fw(\))17 b(d)p Fj(x)p Fw(,)25 b(the)d(second)h
16365 Fj(x)g Fw(with)e(absolute)h(probabilit)m(y)e Fj(g)3151
16366 4709 y Fh(i)3178 4694 y Fw(\()p Fj(x)p Fw(\))p Fj(=)3375
16367 4623 y Fg(R)3447 4694 y Fj(g)3494 4709 y Fh(i)3522 4694
16368 y Fw(\()p Fj(x)p Fw(\))d(d)p Fj(x)0 4803 y Fw(\(this)34
16369 b(is)g(one)h(place)f(where)h(one)g(m)m(ust)g(remem)m(b)s(er)f(to)g(do)g
16370 (normalization)d(correctly\);)k(the)g(pro)s(duct)0 4911
16371 y(of)d(the)h(t)m(w)m(o)g(is)f(therefore)i Fj(g)1018 4926
16372 y Fh(i)1046 4911 y Fw(\()p Fj(x)p Fw(\))e(and)h(the)g(sum)f(o)m(v)m(er)
16373 i(all)d Fj(i)h Fw(giv)m(es)h(bac)m(k)h Fj(g)t Fw(\()p
16374 Fj(x)p Fw(\).)146 5019 y(W)-8 b(e)34 b(ha)m(v)m(e)g(no)m(w)g(arriv)m
16375 (ed)f(at)f(an)h(approac)m(h)h(that)f(is)f(su\016cien)m(tly)i(p)s(o)m(w)
16376 m(erful)f(for)f(a)h(large)f(selection)0 5128 y(of)f(problems.)43
16377 b(In)32 b(general,)f(for)g(a)h(function)f Fj(f)11 b Fw(\()p
16378 Fj(x)p Fw(\))32 b(whic)m(h)g(is)f(kno)m(wn)i(to)f(ha)m(v)m(e)h(sharp)f
16379 (p)s(eaks)h(in)d(a)i(few)0 5236 y(di\013eren)m(t)42 b(places,)i(the)e
16380 (generic)f(b)s(eha)m(viour)g(at)g(eac)m(h)i(p)s(eak)f(separately)g(ma)m
16381 (y)f(b)s(e)g(co)m(v)m(ered)j(b)m(y)e(one)0 5344 y(or)d(a)g(few)h
16382 (simple)e(functions)h Fj(g)1182 5359 y Fh(i)1210 5344
16383 y Fw(\()p Fj(x)p Fw(\),)i(to)e(whic)m(h)h(one)f(adds)h(a)f(few)h(more)f
16384 Fj(g)2810 5359 y Fh(i)2838 5344 y Fw(\()p Fj(x)p Fw(\))g(to)g(co)m(v)m
16385 (er)i(the)f(basic)0 5453 y(b)s(eha)m(viour)e(a)m(w)m(a)m(y)h(from)e
16386 (the)h(p)s(eaks.)60 b(By)39 b(a)e(suitable)g(selection)h(of)f(the)h
16387 (relativ)m(e)g(strengths)h(of)e(the)0 5561 y(di\013eren)m(t)28
16388 b Fj(g)427 5576 y Fh(i)455 5561 y Fw('s,)h(it)e(is)h(p)s(ossible)f(to)g
16389 (\014nd)i(a)e(function)g Fj(g)t Fw(\()p Fj(x)p Fw(\))h(that)f(matc)m
16390 (hes)i(w)m(ell)e(the)h(general)g(b)s(eha)m(viour)0 5669
16391 y(of)k Fj(f)11 b Fw(\()p Fj(x)p Fw(\),)33 b(and)f(th)m(us)i(ac)m(hiev)m
16392 (e)g(a)e(reasonable)g(Mon)m(te)i(Carlo)d(e\016ciency)-8
16393 b(.)1841 5953 y(45)p eop
16394 %%Page: 46 52
16395 46 51 bop 146 -18 a Fw(The)34 b(ma)5 b(jor)32 b(additional)f
16396 (complication)f(is)i(when)i Fj(x)g Fw(is)f(a)f(m)m(ultidimensional)d(v)
16397 -5 b(ariable.)43 b(Usually)0 90 y(the)36 b(problem)d(is)i(not)g(so)g(m)
16398 m(uc)m(h)h Fj(f)11 b Fw(\()p Fj(x)p Fw(\))35 b(itself,)g(but)g(rather)g
16399 (that)g(the)h(phase-space)h(b)s(oundaries)e(ma)m(y)0
16400 198 y(b)s(e)f(v)m(ery)h(complicated.)46 b(If)33 b(the)h(b)s(oundaries)g
16401 (factorize)f(it)g(is)g(p)s(ossible)g(to)g(pic)m(k)i(phase-space)g(p)s
16402 (oin)m(ts)0 307 y(restricted)26 b(to)g(the)g(desired)g(region.)41
16403 b(Otherwise)26 b(the)g(region)f(ma)m(y)h(ha)m(v)m(e)h(to)e(b)s(e)h
16404 (inscrib)s(ed)f(in)g(a)h(h)m(yp)s(er-)0 415 y(rectangle,)36
16405 b(with)e(p)s(oin)m(ts)h(pic)m(k)m(ed)h(within)f(the)g(whole)g(h)m(yp)s
16406 (er-rectangle)h(but)f(only)g(retained)g(if)f(they)0 523
16407 y(are)k(inside)e(the)i(allo)m(w)m(ed)f(region.)58 b(This)37
16408 b(ma)m(y)h(lead)e(to)i(a)f(signi\014can)m(t)g(loss)g(in)g(e\016ciency)
16409 -8 b(.)59 b(V)-8 b(ariable)0 632 y(transformations)31
16410 b(ma)m(y)h(often)h(mak)m(e)g(the)g(allo)m(w)m(ed)e(region)h(easier)h
16411 (to)f(handle.)146 740 y(There)38 b(are)e(t)m(w)m(o)h(main)e(metho)s(ds)
16412 h(to)g(handle)g(sev)m(eral)h(dimensions,)f(eac)m(h)i(with)e(its)f(set)i
16413 (of)f(v)-5 b(ari-)0 848 y(ations.)75 b(The)45 b(\014rst)f(metho)s(d)f
16414 (is)g(based)h(on)g(a)f(factorized)g(ansatz,)k(i.e.)75
16415 b(one)44 b(attempts)g(to)f(\014nd)h(a)0 957 y(function)f
16416 Fj(g)t Fw(\()p Fo(x)p Fw(\))g(whic)m(h)h(is)f(ev)m(erywhere)k(larger)42
16417 b(than)i Fj(f)11 b Fw(\()p Fo(x)p Fw(\),)46 b(and)d(whic)m(h)i(can)e(b)
16418 s(e)h(factorized)f(in)m(to)0 1076 y Fj(g)t Fw(\()p Fo(x)p
16419 Fw(\))f(=)h Fj(g)398 1040 y Fl(\(1\))491 1076 y Fw(\()p
16420 Fj(x)584 1091 y Fl(1)624 1076 y Fw(\))17 b Fj(g)730 1040
16421 y Fl(\(2\))823 1076 y Fw(\()p Fj(x)916 1091 y Fl(2)956
16422 1076 y Fw(\))g Fn(\001)g(\001)g(\001)d Fj(g)1194 1040
16423 y Fl(\()p Fh(n)p Fl(\))1295 1076 y Fw(\()p Fj(x)1388
16424 1091 y Fh(n)1436 1076 y Fw(\),)43 b(where)g Fo(x)g Fw(=)f(\()p
16425 Fj(x)2148 1091 y Fl(1)2188 1076 y Fj(;)17 b(x)2287 1091
16426 y Fl(2)2327 1076 y Fj(;)g(:)g(:)g(:)f(;)h(x)2601 1091
16427 y Fh(n)2648 1076 y Fw(\).)69 b(Here)43 b(eac)m(h)f Fj(g)3301
16428 1040 y Fl(\()p Fh(j)t Fl(\))3392 1076 y Fw(\()p Fj(x)3485
16429 1091 y Fh(j)3521 1076 y Fw(\))g(ma)m(y)0 1213 y(in)d(its)f(turn)i(b)s
16430 (e)f(a)g(sum)g(of)g(functions)g Fj(g)1523 1162 y Fl(\()p
16431 Fh(j)t Fl(\))1519 1236 y Fh(i)1614 1213 y Fw(,)i(as)f(in)e(metho)s(d)h
16432 (4)g(ab)s(o)m(v)m(e.)64 b(First,)40 b(eac)m(h)g Fj(x)3267
16433 1228 y Fh(j)3344 1213 y Fw(is)e(selected)0 1321 y(indep)s(enden)m(tly)
16434 -8 b(,)31 b(and)e(afterw)m(ards)i(the)f(ratio)d Fj(f)11
16435 b Fw(\()p Fo(x)p Fw(\))p Fj(=g)t Fw(\()p Fo(x)p Fw(\))29
16436 b(is)g(used)h(to)f(determine)g(whether)i(to)e(retain)0
16437 1429 y(the)k(p)s(oin)m(t.)146 1538 y(The)f(second)h(metho)s(d)d(is)h
16438 (useful)g(if)f(the)i(b)s(oundaries)f(of)f(the)i(allo)m(w)m(ed)e(region)
16439 h(can)g(b)s(e)g(written)g(in)0 1646 y(a)k(form)f(where)j(the)f(maxim)m
16440 (um)d(range)j(of)f Fj(x)1669 1661 y Fl(1)1744 1646 y
16441 Fw(is)g(kno)m(wn,)j(the)d(allo)m(w)m(ed)g(range)h(of)f
16442 Fj(x)3143 1661 y Fl(2)3218 1646 y Fw(only)g(dep)s(ends)0
16443 1754 y(on)f Fj(x)192 1769 y Fl(1)232 1754 y Fw(,)h(that)g(of)f
16444 Fj(x)676 1769 y Fl(3)750 1754 y Fw(only)g(on)g Fj(x)1158
16445 1769 y Fl(1)1232 1754 y Fw(and)h Fj(x)1479 1769 y Fl(2)1519
16446 1754 y Fw(,)g(and)f(so)h(on)g(un)m(til)e Fj(x)2319 1769
16447 y Fh(n)2366 1754 y Fw(,)i(whose)h(range)e(ma)m(y)h(dep)s(end)g(on)g
16448 (all)0 1863 y(the)g(preceding)f(v)-5 b(ariables.)47 b(In)35
16449 b(that)f(case)h(it)e(ma)m(y)h(b)s(e)g(p)s(ossible)g(to)g(\014nd)g(a)g
16450 (function)g Fj(g)t Fw(\()p Fo(x)p Fw(\))f(that)h(can)0
16451 1971 y(b)s(e)28 b(in)m(tegrated)g(o)m(v)m(er)i Fj(x)847
16452 1986 y Fl(2)914 1971 y Fw(through)f Fj(x)1334 1986 y
16453 Fh(n)1409 1971 y Fw(to)f(yield)f(a)h(simple)f(function)g(of)h
16454 Fj(x)2671 1986 y Fl(1)2711 1971 y Fw(,)h(according)f(to)f(whic)m(h)i
16455 Fj(x)3646 1986 y Fl(1)3714 1971 y Fw(is)0 2079 y(selected.)44
16456 b(Ha)m(ving)31 b(done)h(that,)g Fj(x)1258 2094 y Fl(2)1329
16457 2079 y Fw(is)f(selected)h(according)f(to)g(a)g(distribution)f(whic)m(h)
16458 i(no)m(w)g(dep)s(ends)0 2188 y(on)i Fj(x)192 2203 y Fl(1)232
16459 2188 y Fw(,)g(but)g(with)g Fj(x)752 2203 y Fl(3)826 2188
16460 y Fw(through)g Fj(x)1251 2203 y Fh(n)1332 2188 y Fw(in)m(tegrated)g(o)m
16461 (v)m(er.)49 b(In)34 b(particular,)f(the)h(allo)m(w)m(ed)g(range)g(for)f
16462 Fj(x)3640 2203 y Fl(2)3714 2188 y Fw(is)0 2296 y(kno)m(wn.)47
16463 b(The)34 b(pro)s(cedure)h(is)e(con)m(tin)m(ued)h(un)m(til)e
16464 Fj(x)1834 2311 y Fh(n)1915 2296 y Fw(is)h(reac)m(hed,)i(where)f(no)m(w)
16465 g(the)g(function)f(dep)s(ends)0 2404 y(on)d(all)e(the)j(preceding)f
16466 Fj(x)923 2419 y Fh(j)990 2404 y Fw(v)-5 b(alues.)43 b(In)30
16467 b(the)h(end,)g(the)g(ratio)d Fj(f)11 b Fw(\()p Fo(x)p
16468 Fw(\))p Fj(=g)t Fw(\()p Fo(x)p Fw(\))29 b(is)h(again)f(used)i(to)f
16469 (determine)0 2513 y(whether)k(to)e(retain)g(the)h(p)s(oin)m(t.)0
16470 2785 y Fp(4.2)135 b(The)45 b(V)-11 b(eto)45 b(Algorithm)0
16471 2957 y Fw(The)28 b(`radioactiv)m(e)f(deca)m(y')h(t)m(yp)s(e)h(of)d
16472 (problems)h(is)g(v)m(ery)i(common,)e(in)f(particular)g(in)g(parton)h
16473 (sho)m(w)m(ers,)0 3066 y(but)35 b(it)f(is)h(also)f(used,)j(e.g.)51
16474 b(in)35 b(the)g(m)m(ultiple)e(in)m(teractions)h(description)h(in)f
16475 Fm(Pythia)p Fw(.)51 b(In)36 b(this)f(kind)0 3174 y(of)30
16476 b(problems)f(there)h(is)g(one)g(v)-5 b(ariable)28 b Fj(t)p
16477 Fw(,)j(whic)m(h)g(ma)m(y)f(b)s(e)g(though)m(t)g(of)f(as)i(giving)d(a)i
16478 (kind)g(of)f(time)g(axis)0 3282 y(along)37 b(whic)m(h)i(di\013eren)m(t)
16479 g(ev)m(en)m(ts)i(are)e(ordered.)63 b(The)39 b(probabilit)m(y)e(that)i
16480 (`something)e(will)g(happ)s(en')0 3391 y(\(a)42 b(n)m(ucleus)h(deca)m
16481 (y)-8 b(,)46 b(a)c(parton)g(branc)m(h\))h(at)f(time)e
16482 Fj(t)j Fw(is)e(describ)s(ed)i(b)m(y)g(a)f(function)g
16483 Fj(f)11 b Fw(\()p Fj(t)p Fw(\),)44 b(whic)m(h)f(is)0
16484 3499 y(non-negativ)m(e)d(in)g(the)h(range)f(of)g Fj(t)h
16485 Fw(v)-5 b(alues)40 b(to)g(b)s(e)h(studied.)67 b(Ho)m(w)m(ev)m(er,)45
16486 b(this)40 b(na)-11 b(\177)-38 b(\020v)m(e)41 b(probabilit)m(y)d(is)0
16487 3607 y(mo)s(di\014ed)g(b)m(y)j(the)e(additional)e(requiremen)m(t)j
16488 (that)f(something)g(can)g(only)g(happ)s(en)h(at)f(time)g
16489 Fj(t)g Fw(if)f(it)0 3716 y(did)i(not)g(happ)s(en)h(at)f(earlier)f
16490 (times)h Fj(t)1446 3679 y Fk(0)1510 3716 y Fj(<)h(t)p
16491 Fw(.)67 b(\(The)42 b(original)37 b(n)m(ucleus)k(cannot)g(deca)m(y)h
16492 (once)f(again)0 3824 y(if)34 b(it)f(already)h(did)h(deca)m(y;)i(p)s
16493 (ossibly)d(the)h(deca)m(y)h(pro)s(ducts)f(ma)m(y)g(deca)m(y)h(in)e
16494 (their)g(turn,)i(but)e(that)h(is)0 3932 y(another)e(question.\))146
16495 4041 y(The)44 b(probabilit)m(y)d(that)i(nothing)f(has)i(happ)s(ened)g
16496 (b)m(y)g(time)d Fj(t)i Fw(is)g(expressed)j(b)m(y)e(the)f(function)0
16497 4149 y Fn(N)15 b Fw(\()p Fj(t)p Fw(\))43 b(and)g(the)h(di\013eren)m
16498 (tial)e(probabilit)m(y)f(that)j(something)e(happ)s(ens)j(at)e(time)f
16499 Fj(t)h Fw(b)m(y)i Fn(P)8 b Fw(\()p Fj(t)p Fw(\).)77 b(The)0
16500 4257 y(basic)32 b(equation)h(then)g(is)1313 4422 y Fn(P)8
16501 b Fw(\()p Fj(t)p Fw(\))29 b(=)e Fn(\000)1720 4354 y Fw(d)p
16502 Fn(N)p 1720 4398 151 4 v 1751 4490 a Fw(d)p Fj(t)1909
16503 4422 y Fw(=)h Fj(f)11 b Fw(\()p Fj(t)p Fw(\))17 b Fn(N)e
16504 Fw(\()p Fj(t)p Fw(\))31 b Fj(:)1189 b Fw(\(6\))0 4621
16505 y(F)-8 b(or)32 b(simplicit)m(y)-8 b(,)30 b(w)m(e)j(shall)e(assume)j
16506 (that)e(the)h(pro)s(cess)h(starts)f(at)f(time)f Fj(t)d
16507 Fw(=)g(0,)k(with)g Fn(N)15 b Fw(\(0\))27 b(=)g(1.)146
16508 4729 y(The)34 b(ab)s(o)m(v)m(e)f(equation)g(can)f(b)s(e)h(solv)m(ed)g
16509 (easily)f(if)g(one)g(notes)i(that)e(d)p Fn(N)15 b Fj(=)p
16510 Fn(N)42 b Fw(=)27 b(d)17 b(ln)f Fn(N)f Fw(:)662 4979
16511 y Fn(N)g Fw(\()p Fj(t)p Fw(\))27 b(=)h Fn(N)15 b Fw(\(0\))i(exp)1404
16512 4857 y Fg(\032)1466 4979 y Fn(\000)1560 4861 y Fg(Z)1643
16513 4888 y Fh(t)1606 5050 y Fl(0)1690 4979 y Fj(f)11 b Fw(\()p
16514 Fj(t)1822 4937 y Fk(0)1845 4979 y Fw(\))17 b(d)p Fj(t)1989
16515 4937 y Fk(0)2012 4857 y Fg(\033)2102 4979 y Fw(=)27 b(exp)2371
16516 4857 y Fg(\032)2433 4979 y Fn(\000)2527 4861 y Fg(Z)2610
16517 4888 y Fh(t)2574 5050 y Fl(0)2657 4979 y Fj(f)11 b Fw(\()p
16518 Fj(t)2789 4937 y Fk(0)2812 4979 y Fw(\))17 b(d)p Fj(t)2956
16519 4937 y Fk(0)2979 4857 y Fg(\033)3091 4979 y Fj(;)537
16520 b Fw(\(7\))0 5216 y(and)33 b(th)m(us)1181 5356 y Fn(P)8
16521 b Fw(\()p Fj(t)p Fw(\))28 b(=)f Fj(f)11 b Fw(\()p Fj(t)p
16522 Fw(\))17 b(exp)1852 5234 y Fg(\032)1915 5356 y Fn(\000)2009
16523 5238 y Fg(Z)2092 5265 y Fh(t)2055 5427 y Fl(0)2138 5356
16524 y Fj(f)11 b Fw(\()p Fj(t)2270 5314 y Fk(0)2293 5356 y
16525 Fw(\))17 b(d)p Fj(t)2437 5314 y Fk(0)2460 5234 y Fg(\033)2572
16526 5356 y Fj(:)1056 b Fw(\(8\))0 5561 y(With)31 b Fj(f)11
16527 b Fw(\()p Fj(t)p Fw(\))28 b(=)g Fj(c)k Fw(this)f(is)h(nothing)f(but)h
16528 (the)h(textb)s(o)s(ok)f(form)m(ulae)f(for)h(radioactiv)m(e)f(deca)m(y)
16529 -8 b(.)44 b(In)33 b(partic-)0 5669 y(ular,)38 b(at)f(small)e(times)i
16530 (the)g(correct)h(deca)m(y)h(probabilit)m(y)-8 b(,)37
16531 b Fn(P)8 b Fw(\()p Fj(t)p Fw(\),)39 b(agrees)f(w)m(ell)f(with)g(the)h
16532 (input)f(one,)1841 5953 y(46)p eop
16533 %%Page: 47 53
16534 47 52 bop 0 -18 a Fj(f)11 b Fw(\()p Fj(t)p Fw(\),)46
16535 b(since)e(the)f(exp)s(onen)m(tial)g(factor)g(is)g(close)g(to)g(unit)m
16536 (y)h(there.)76 b(A)m(t)44 b(larger)e Fj(t)p Fw(,)k(the)e(exp)s(onen)m
16537 (tial)0 90 y(giv)m(es)37 b(a)f(damp)s(ening)f(whic)m(h)i(ensures)i
16538 (that)d(the)h(in)m(tegral)e(of)h Fn(P)8 b Fw(\()p Fj(t)p
16539 Fw(\))37 b(nev)m(er)h(can)f(exceed)h(unit)m(y)-8 b(,)38
16540 b(ev)m(en)0 198 y(if)33 b(the)h(in)m(tegral)f(of)h Fj(f)11
16541 b Fw(\()p Fj(t)p Fw(\))33 b(do)s(es.)49 b(The)35 b(exp)s(onen)m(tial)e
16542 (can)i(b)s(e)f(seen)i(as)e(the)g(probabilit)m(y)e(that)i(nothing)0
16543 307 y(happ)s(ens)d(b)s(et)m(w)m(een)i(the)d(original)d(time)i(0)h(and)g
16544 (the)h(\014nal)e(time)g Fj(t)p Fw(.)43 b(In)31 b(the)f(parton-sho)m(w)m
16545 (er)h(language,)0 415 y(this)h(is)g(\(almost\))f(the)i(so-called)e
16546 (Sudak)m(o)m(v)j(form)e(factor.)146 523 y(If)45 b Fj(f)11
16547 b Fw(\()p Fj(t)p Fw(\))44 b(has)h(a)f(primitiv)m(e)f(function)h(with)g
16548 (a)g(kno)m(wn)i(in)m(v)m(erse,)j(it)44 b(is)g(easy)i(to)e(select)h
16549 Fj(t)g Fw(v)-5 b(alues)0 632 y(correctly:)527 752 y Fg(Z)610
16550 779 y Fh(t)573 941 y Fl(0)656 869 y Fn(P)8 b Fw(\()p
16551 Fj(t)806 828 y Fk(0)830 869 y Fw(\))17 b(d)p Fj(t)974
16552 828 y Fk(0)1025 869 y Fw(=)27 b Fn(N)15 b Fw(\(0\))22
16553 b Fn(\000)g(N)15 b Fw(\()p Fj(t)p Fw(\))27 b(=)h(1)22
16554 b Fn(\000)g Fw(exp)2146 748 y Fg(\032)2208 869 y Fn(\000)2302
16555 752 y Fg(Z)2385 779 y Fh(t)2349 941 y Fl(0)2432 869 y
16556 Fj(f)11 b Fw(\()p Fj(t)2564 828 y Fk(0)2587 869 y Fw(\))17
16557 b(d)p Fj(t)2731 828 y Fk(0)2754 748 y Fg(\033)2844 869
16558 y Fw(=)28 b(1)22 b Fn(\000)g Fj(R)34 b(;)402 b Fw(\(9\))0
16559 1100 y(whic)m(h)33 b(has)g(the)g(solution)793 1287 y
16560 Fj(F)14 b Fw(\(0\))22 b Fn(\000)g Fj(F)14 b Fw(\()p Fj(t)p
16561 Fw(\))28 b(=)f(ln)16 b Fj(R)126 b Fw(=)-17 b Fn(\))125
16562 b Fj(t)28 b Fw(=)g Fj(F)2261 1246 y Fk(\000)p Fl(1)2355
16563 1287 y Fw(\()p Fj(F)14 b Fw(\(0\))21 b Fn(\000)i Fw(ln)16
16564 b Fj(R)q Fw(\))32 b Fj(:)620 b Fw(\(10\))146 1474 y(If)36
16565 b Fj(f)11 b Fw(\()p Fj(t)p Fw(\))36 b(is)g(not)g(su\016cien)m(tly)g
16566 (nice,)h(one)g(ma)m(y)f(again)e(try)i(to)g(\014nd)h(a)f(b)s(etter)g
16567 (function)f Fj(g)t Fw(\()p Fj(t)p Fw(\),)i(with)0 1582
16568 y Fj(f)11 b Fw(\()p Fj(t)p Fw(\))32 b Fn(\024)g Fj(g)t
16569 Fw(\()p Fj(t)p Fw(\))i(for)h(all)e Fj(t)f Fn(\025)g Fw(0.)50
16570 b(Ho)m(w)m(ev)m(er)38 b(to)c(use)i(metho)s(d)e(3)h(with)g(this)f
16571 Fj(g)t Fw(\()p Fj(t)p Fw(\))h(w)m(ould)g(not)f(w)m(ork,)j(since)0
16572 1691 y(the)f(metho)s(d)f(w)m(ould)h(not)g(correctly)g(tak)m(e)g(in)m
16573 (to)f(accoun)m(t)i(the)f(e\013ects)h(of)f(the)g(exp)s(onen)m(tial)f
16574 (term)g(in)0 1799 y Fn(P)8 b Fw(\()p Fj(t)p Fw(\).)44
16575 b(Instead)34 b(one)f(ma)m(y)f(use)h(the)g(so-called)f(v)m(eto)h
16576 (algorithm:)119 1912 y(1.)49 b(start)32 b(with)h Fj(i)28
16577 b Fw(=)f(0)32 b(and)h Fj(t)1170 1927 y Fl(0)1237 1912
16578 y Fw(=)28 b(0;)119 2030 y(2.)49 b(add)34 b(1)h(to)f Fj(i)g
16579 Fw(and)h(select)g Fj(t)1202 2045 y Fh(i)1261 2030 y Fw(=)c
16580 Fj(G)1445 1994 y Fk(\000)p Fl(1)1539 2030 y Fw(\()p Fj(G)p
16581 Fw(\()p Fj(t)1727 2045 y Fh(i)p Fk(\000)p Fl(1)1845 2030
16582 y Fw(\))24 b Fn(\000)g Fw(ln)16 b Fj(R)q Fw(\),)34 b(i.e.)49
16583 b(according)34 b(to)g Fj(g)t Fw(\()p Fj(t)p Fw(\),)g(but)h(with)f(the)
16584 244 2138 y(constrain)m(t)e(that)h Fj(t)949 2153 y Fh(i)1005
16585 2138 y Fj(>)27 b(t)1143 2153 y Fh(i)p Fk(\000)p Fl(1)1262
16586 2138 y Fw(,)119 2256 y(3.)49 b(compare)42 b(a)g(\(new\))i
16587 Fj(R)f Fw(with)f(the)h(ratio)e Fj(f)11 b Fw(\()p Fj(t)1924
16588 2271 y Fh(i)1952 2256 y Fw(\))p Fj(=g)t Fw(\()p Fj(t)2163
16589 2271 y Fh(i)2191 2256 y Fw(\);)47 b(if)41 b Fj(f)11 b
16590 Fw(\()p Fj(t)2534 2271 y Fh(i)2563 2256 y Fw(\))p Fj(=g)t
16591 Fw(\()p Fj(t)2774 2271 y Fh(i)2801 2256 y Fw(\))44 b
16592 Fn(\024)i Fj(R)q Fw(,)f(then)e(return)g(to)244 2364 y(p)s(oin)m(t)32
16593 b(2)g(for)g(a)g(new)i(try;)119 2482 y(4.)49 b(otherwise)33
16594 b Fj(t)713 2497 y Fh(i)774 2482 y Fw(is)f(retained)g(as)h(\014nal)f
16595 (answ)m(er.)146 2595 y(It)e(ma)m(y)f(not)g(b)s(e)g(apparen)m(t)h(wh)m
16596 (y)g(this)f(w)m(orks.)44 b(Consider,)30 b(ho)m(w)m(ev)m(er,)j(the)c(v)
16597 -5 b(arious)29 b(w)m(a)m(ys)i(in)d(whic)m(h)0 2703 y(one)34
16598 b(can)f(select)h(a)f(sp)s(eci\014c)h(time)e Fj(t)p Fw(.)45
16599 b(The)35 b(probabilit)m(y)c(that)i(the)h(\014rst)f(try)h(w)m(orks,)h
16600 Fj(t)29 b Fw(=)g Fj(t)3331 2718 y Fl(1)3370 2703 y Fw(,)34
16601 b(i.e.)45 b(that)0 2812 y(no)32 b(in)m(termediate)g Fj(t)h
16602 Fw(v)-5 b(alues)32 b(need)i(b)s(e)e(rejected,)i(is)e(giv)m(en)h(b)m(y)
16603 489 3060 y Fn(P)558 3075 y Fl(0)598 3060 y Fw(\()p Fj(t)p
16604 Fw(\))28 b(=)f(exp)1006 2939 y Fg(\032)1068 3060 y Fn(\000)1162
16605 2943 y Fg(Z)1245 2969 y Fh(t)1208 3132 y Fl(0)1292 3060
16606 y Fj(g)t Fw(\()p Fj(t)1416 3019 y Fk(0)1438 3060 y Fw(\))17
16607 b(d)p Fj(t)1582 3019 y Fk(0)1606 2939 y Fg(\033)1701
16608 3060 y Fj(g)t Fw(\()p Fj(t)p Fw(\))1889 2993 y Fj(f)11
16609 b Fw(\()p Fj(t)p Fw(\))p 1889 3037 170 4 v 1893 3128
16610 a Fj(g)t Fw(\()p Fj(t)p Fw(\))2097 3060 y(=)27 b Fj(f)11
16611 b Fw(\()p Fj(t)p Fw(\))17 b(exp)2552 2939 y Fg(\032)2614
16612 3060 y Fn(\000)2708 2943 y Fg(Z)2791 2969 y Fh(t)2755
16613 3132 y Fl(0)2838 3060 y Fj(g)t Fw(\()p Fj(t)2962 3019
16614 y Fk(0)2984 3060 y Fw(\))g(d)p Fj(t)3128 3019 y Fk(0)3152
16615 2939 y Fg(\033)3263 3060 y Fj(;)316 b Fw(\(11\))0 3315
16616 y(where)33 b(the)e(exp)s(onen)m(tial)g(times)f Fj(g)t
16617 Fw(\()p Fj(t)p Fw(\))h(comes)h(from)e(eq.)i(\(8\))f(applied)f(to)h
16618 Fj(g)t Fw(,)g(and)g(the)h(ratio)e Fj(f)11 b Fw(\()p Fj(t)p
16619 Fw(\))p Fj(=g)t Fw(\()p Fj(t)p Fw(\))0 3423 y(is)32 b(the)i(probabilit)
16620 m(y)d(that)h Fj(t)h Fw(is)g(accepted.)46 b(No)m(w)33
16621 b(consider)h(the)f(case)h(where)g(one)f(in)m(termediate)f(time)0
16622 3532 y Fj(t)35 3547 y Fl(1)107 3532 y Fw(is)g(rejected)i(and)f
16623 Fj(t)28 b Fw(=)f Fj(t)962 3547 y Fl(2)1034 3532 y Fw(is)32
16624 b(only)h(accepted)h(in)d(the)i(second)h(step.)45 b(This)32
16625 b(giv)m(es)50 3787 y Fn(P)119 3802 y Fl(1)159 3787 y
16626 Fw(\()p Fj(t)p Fw(\))27 b(=)401 3670 y Fg(Z)484 3696
16627 y Fh(t)447 3859 y Fl(0)530 3787 y Fw(d)p Fj(t)619 3802
16628 y Fl(1)676 3787 y Fw(exp)841 3666 y Fg(\032)903 3787
16629 y Fn(\000)997 3670 y Fg(Z)1081 3696 y Fh(t)1106 3705
16630 y Ff(1)1044 3859 y Fl(0)1161 3787 y Fj(g)t Fw(\()p Fj(t)1285
16631 3746 y Fk(0)1308 3787 y Fw(\))17 b(d)p Fj(t)1452 3746
16632 y Fk(0)1475 3666 y Fg(\033)1554 3787 y Fj(g)t Fw(\()p
16633 Fj(t)1678 3802 y Fl(1)1717 3787 y Fw(\))1772 3641 y Fg(")1820
16634 3787 y Fw(1)22 b Fn(\000)2001 3720 y Fj(f)11 b Fw(\()p
16635 Fj(t)2133 3735 y Fl(1)2172 3720 y Fw(\))p 2001 3764 210
16636 4 v 2005 3855 a Fj(g)t Fw(\()p Fj(t)2129 3870 y Fl(1)2168
16637 3855 y Fw(\))2220 3641 y Fg(#)2285 3787 y Fw(exp)2451
16638 3666 y Fg(\032)2513 3787 y Fn(\000)2607 3670 y Fg(Z)2690
16639 3696 y Fh(t)2653 3859 y(t)2678 3868 y Ff(1)2736 3787
16640 y Fj(g)t Fw(\()p Fj(t)2860 3746 y Fk(0)2883 3787 y Fw(\))17
16641 b(d)p Fj(t)3027 3746 y Fk(0)3050 3666 y Fg(\033)3129
16642 3787 y Fj(g)t Fw(\()p Fj(t)p Fw(\))3317 3720 y Fj(f)11
16643 b Fw(\()p Fj(t)p Fw(\))p 3317 3764 170 4 v 3321 3855
16644 a Fj(g)t Fw(\()p Fj(t)p Fw(\))3529 3787 y Fj(;)50 b Fw(\(12\))0
16645 4048 y(where)38 b(the)g(\014rst)f(exp)s(onen)m(tial)f(times)g
16646 Fj(g)t Fw(\()p Fj(t)1580 4063 y Fl(1)1619 4048 y Fw(\))h(giv)m(es)g
16647 (the)h(probabilit)m(y)d(that)h Fj(t)2863 4063 y Fl(1)2940
16648 4048 y Fw(is)g(\014rst)i(selected,)h(the)0 4157 y(square)h(brac)m(k)m
16649 (ets)h(the)e(probabilit)m(y)e(that)i Fj(t)1634 4172 y
16650 Fl(1)1712 4157 y Fw(is)f(subsequen)m(tly)k(rejected,)g(the)d(follo)m
16651 (wing)d(piece)j(the)0 4265 y(probabilit)m(y)g(that)h
16652 Fj(t)i Fw(=)g Fj(t)956 4280 y Fl(2)1036 4265 y Fw(is)e(selected)i(when)
16653 g(starting)e(from)g Fj(t)2423 4280 y Fl(1)2462 4265 y
16654 Fw(,)j(and)e(the)g(\014nal)f(factor)g(that)h Fj(t)g Fw(is)0
16655 4373 y(retained.)82 b(The)47 b(whole)e(is)g(to)g(b)s(e)h(in)m(tegrated)
16656 g(o)m(v)m(er)g(all)e(p)s(ossible)g(in)m(termediate)h(times)f
16657 Fj(t)3462 4388 y Fl(1)3502 4373 y Fw(.)83 b(The)0 4482
16658 y(exp)s(onen)m(tials)36 b(together)f(giv)m(e)h(an)g(in)m(tegral)e(o)m
16659 (v)m(er)j(the)f(range)f(from)g(0)g(to)g Fj(t)p Fw(,)i(just)f(as)g(in)f
16660 Fn(P)3348 4497 y Fl(0)3388 4482 y Fw(,)h(and)g(the)0
16661 4590 y(factor)c(for)g(the)h(\014nal)f(step)h(b)s(eing)f(accepted)i(is)e
16662 (also)g(the)h(same,)g(so)f(therefore)h(one)g(\014nds)h(that)1128
16663 4828 y Fn(P)1197 4843 y Fl(1)1236 4828 y Fw(\()p Fj(t)p
16664 Fw(\))28 b(=)g Fn(P)1548 4843 y Fl(0)1587 4828 y Fw(\()p
16665 Fj(t)p Fw(\))1715 4711 y Fg(Z)1798 4737 y Fh(t)1761 4899
16666 y Fl(0)1844 4828 y Fw(d)p Fj(t)1933 4843 y Fl(1)1990
16667 4828 y Fw([)p Fj(g)t Fw(\()p Fj(t)2141 4843 y Fl(1)2180
16668 4828 y Fw(\))22 b Fn(\000)g Fj(f)11 b Fw(\()p Fj(t)2471
16669 4843 y Fl(1)2511 4828 y Fw(\)])49 b Fj(:)954 b Fw(\(13\))0
16670 5055 y(This)33 b(generalizes.)45 b(In)33 b Fn(P)942 5070
16671 y Fl(2)1015 5055 y Fw(one)g(has)h(to)e(consider)i(t)m(w)m(o)f(in)m
16672 (termediate)f(times,)g(0)d Fn(\024)g Fj(t)3127 5070 y
16673 Fl(1)3195 5055 y Fn(\024)g Fj(t)3336 5070 y Fl(2)3404
16674 5055 y Fn(\024)g Fj(t)3545 5070 y Fl(3)3613 5055 y Fw(=)f
16675 Fj(t)p Fw(,)0 5164 y(and)33 b(so)663 5382 y Fn(P)732
16676 5397 y Fl(2)772 5382 y Fw(\()p Fj(t)p Fw(\))83 b(=)g
16677 Fn(P)1194 5397 y Fl(0)1234 5382 y Fw(\()p Fj(t)p Fw(\))1362
16678 5265 y Fg(Z)1445 5291 y Fh(t)1408 5454 y Fl(0)1491 5382
16679 y Fw(d)p Fj(t)1580 5397 y Fl(1)1636 5382 y Fw([)p Fj(g)t
16680 Fw(\()p Fj(t)1787 5397 y Fl(1)1826 5382 y Fw(\))22 b
16681 Fn(\000)h Fj(f)11 b Fw(\()p Fj(t)2118 5397 y Fl(1)2157
16682 5382 y Fw(\)])2239 5265 y Fg(Z)2322 5291 y Fh(t)2285
16683 5454 y(t)2310 5463 y Ff(1)2368 5382 y Fw(d)p Fj(t)2457
16684 5397 y Fl(2)2514 5382 y Fw([)p Fj(g)t Fw(\()p Fj(t)2665
16685 5397 y Fl(2)2704 5382 y Fw(\))22 b Fn(\000)g Fj(f)11
16686 b Fw(\()p Fj(t)2995 5397 y Fl(2)3035 5382 y Fw(\)])966
16687 5644 y(=)83 b Fn(P)1194 5659 y Fl(0)1234 5644 y Fw(\()p
16688 Fj(t)p Fw(\))1355 5577 y(1)p 1355 5621 49 4 v 1355 5713
16689 a(2)1430 5523 y Fg(\022)1491 5527 y(Z)1574 5554 y Fh(t)1537
16690 5716 y Fl(0)1621 5644 y Fw([)p Fj(g)t Fw(\()p Fj(t)1772
16691 5603 y Fk(0)1794 5644 y Fw(\))22 b Fn(\000)h Fj(f)11
16692 b Fw(\()p Fj(t)2086 5603 y Fk(0)2109 5644 y Fw(\)])17
16693 b(d)p Fj(t)2280 5603 y Fk(0)2304 5523 y Fg(\023)2365
16694 5539 y Fl(2)2453 5644 y Fj(:)1126 b Fw(\(14\))1841 5953
16695 y(47)p eop
16696 %%Page: 48 54
16697 48 53 bop 0 -18 a Fw(The)34 b(last)f(equalit)m(y)g(is)f(most)h(easily)g
16698 (seen)h(if)e(one)i(also)e(considers)i(the)g(alternativ)m(e)e(region)h
16699 (0)28 b Fn(\024)i Fj(t)3634 -3 y Fl(2)3702 -18 y Fn(\024)0
16700 90 y Fj(t)35 105 y Fl(1)102 90 y Fn(\024)e Fj(t)p Fw(,)i(where)g(the)g
16701 (r^)-49 b(oles)28 b(of)g Fj(t)1108 105 y Fl(1)1177 90
16702 y Fw(and)h Fj(t)1398 105 y Fl(2)1466 90 y Fw(ha)m(v)m(e)h(just)f(b)s
16703 (een)h(in)m(terc)m(hanged,)h(and)d(the)i(in)m(tegral)d(therefore)0
16704 198 y(has)41 b(the)h(same)f(v)-5 b(alue)40 b(as)i(in)e(the)i(region)e
16705 (considered.)70 b(Adding)40 b(the)i(t)m(w)m(o)g(regions,)g(ho)m(w)m(ev)
16706 m(er,)k(the)0 307 y(in)m(tegrals)28 b(o)m(v)m(er)i Fj(t)630
16707 322 y Fl(1)699 307 y Fw(and)f Fj(t)920 322 y Fl(2)989
16708 307 y Fw(decouple,)h(and)f(b)s(ecome)g(equal.)42 b(In)30
16709 b(general,)f(for)g Fn(P)2934 322 y Fh(i)2962 307 y Fw(,)h(the)f
16710 Fj(i)h Fw(in)m(termediate)0 415 y(times)35 b(can)g(b)s(e)h(ordered)g
16711 (in)f Fj(i)p Fw(!)g(di\013eren)m(t)h(w)m(a)m(ys.)54 b(Therefore)36
16712 b(the)g(total)e(probabilit)m(y)f(to)j(accept)g Fj(t)p
16713 Fw(,)g(in)0 523 y(an)m(y)d(step,)h(is)608 788 y Fn(P)8
16714 b Fw(\()p Fj(t)p Fw(\))84 b(=)1063 680 y Fk(1)1038 705
16715 y Fg(X)1041 888 y Fh(i)p Fl(=0)1175 788 y Fn(P)1244 803
16716 y Fh(i)1272 788 y Fw(\()p Fj(t)p Fw(\))28 b(=)g Fn(P)1584
16717 803 y Fl(0)1624 788 y Fw(\()p Fj(t)p Fw(\))1776 680 y
16718 Fk(1)1751 705 y Fg(X)1754 888 y Fh(i)p Fl(=0)1904 721
16719 y Fw(1)p 1898 765 61 4 v 1898 857 a Fj(i)p Fw(!)1985
16720 667 y Fg(\022)2046 671 y(Z)2129 697 y Fh(t)2092 860 y
16721 Fl(0)2175 788 y Fw([)p Fj(g)t Fw(\()p Fj(t)2326 747 y
16722 Fk(0)2349 788 y Fw(\))22 b Fn(\000)h Fj(f)11 b Fw(\()p
16723 Fj(t)2641 747 y Fk(0)2664 788 y Fw(\)])16 b(d)p Fj(t)2834
16724 747 y Fk(0)2858 667 y Fg(\023)2919 683 y Fh(i)880 1061
16725 y Fw(=)82 b Fj(f)11 b Fw(\()p Fj(t)p Fw(\))17 b(exp)1391
16726 940 y Fg(\032)1453 1061 y Fn(\000)1547 944 y Fg(Z)1630
16727 970 y Fh(t)1593 1132 y Fl(0)1676 1061 y Fj(g)t Fw(\()p
16728 Fj(t)1800 1020 y Fk(0)1823 1061 y Fw(\))g(d)p Fj(t)1967
16729 1020 y Fk(0)1990 940 y Fg(\033)2069 1061 y Fw(exp)2235
16730 940 y Fg(\032)2297 944 y(Z)2380 970 y Fh(t)2343 1132
16731 y Fl(0)2426 1061 y Fw([)p Fj(g)t Fw(\()p Fj(t)2577 1020
16732 y Fk(0)2600 1061 y Fw(\))22 b Fn(\000)h Fj(f)11 b Fw(\()p
16733 Fj(t)2892 1020 y Fk(0)2915 1061 y Fw(\)])17 b(d)p Fj(t)3086
16734 1020 y Fk(0)3109 940 y Fg(\033)880 1300 y Fw(=)82 b Fj(f)11
16735 b Fw(\()p Fj(t)p Fw(\))17 b(exp)1391 1179 y Fg(\032)1453
16736 1300 y Fn(\000)1547 1183 y Fg(Z)1630 1210 y Fh(t)1593
16737 1372 y Fl(0)1676 1300 y Fj(f)11 b Fw(\()p Fj(t)1808 1259
16738 y Fk(0)1831 1300 y Fw(\))17 b(d)p Fj(t)1975 1259 y Fk(0)1999
16739 1179 y Fg(\033)2110 1300 y Fj(;)1469 b Fw(\(15\))0 1541
16740 y(whic)m(h)33 b(is)f(the)h(desired)g(answ)m(er.)146 1649
16741 y(If)42 b(the)g(pro)s(cess)h(is)e(to)g(b)s(e)g(stopp)s(ed)i(at)e(some)g
16742 (scale)h Fj(t)2190 1664 y Fl(max)2326 1649 y Fw(,)h(i.e.)70
16743 b(if)41 b(one)g(w)m(ould)h(lik)m(e)f(to)g(remain)0 1757
16744 y(with)32 b(a)f(fraction)g Fn(N)15 b Fw(\()p Fj(t)832
16745 1772 y Fl(max)967 1757 y Fw(\))32 b(of)f(ev)m(en)m(ts)k(where)e
16746 (nothing)e(happ)s(ens)i(at)e(all,)f(this)i(is)f(easy)i(to)f(include)f
16747 (in)0 1866 y(the)j(v)m(eto)f(algorithm:)42 b(just)33
16748 b(iterate)g(up)m(w)m(ards)i(in)d Fj(t)h Fw(at)g(usual,)g(but)h(stop)f
16749 (the)h(pro)s(cess)g(if)e(no)h(allo)m(w)m(ed)0 1974 y(branc)m(hing)g(is)
16750 f(found)g(b)s(efore)h Fj(t)1152 1989 y Fl(max)1288 1974
16751 y Fw(.)146 2082 y(Usually)28 b Fj(f)11 b Fw(\()p Fj(t)p
16752 Fw(\))27 b(is)h(a)g(function)f(also)g(of)h(additional)d(v)-5
16753 b(ariables)27 b Fj(x)p Fw(.)42 b(The)29 b(metho)s(ds)f(of)g(the)g
16754 (preceding)0 2191 y(subsection)34 b(are)e(easy)i(to)f(generalize)e(if)h
16755 (one)h(can)g(\014nd)g(a)g(suitable)e(function)i Fj(g)t
16756 Fw(\()p Fj(t;)17 b(x)p Fw(\))32 b(with)g Fj(f)11 b Fw(\()p
16757 Fj(t;)17 b(x)p Fw(\))28 b Fn(\024)0 2299 y Fj(g)t Fw(\()p
16758 Fj(t;)17 b(x)p Fw(\).)58 b(The)39 b Fj(g)t Fw(\()p Fj(t)p
16759 Fw(\))e(used)i(in)e(the)h(v)m(eto)g(algorithm)d(is)i(the)h(in)m(tegral)
16760 e(of)h Fj(g)t Fw(\()p Fj(t;)17 b(x)p Fw(\))37 b(o)m(v)m(er)i
16761 Fj(x)p Fw(.)59 b(Eac)m(h)39 b(time)0 2407 y(a)33 b Fj(t)117
16762 2422 y Fh(i)178 2407 y Fw(has)h(b)s(een)g(selected)g(also)f(an)g
16763 Fj(x)1336 2422 y Fh(i)1398 2407 y Fw(is)f(pic)m(k)m(ed,)j(according)e
16764 (to)f Fj(g)t Fw(\()p Fj(t)2508 2422 y Fh(i)2536 2407
16765 y Fj(;)17 b(x)p Fw(\))g Fj(dx)p Fw(,)33 b(and)h(the)f(\()p
16766 Fj(t;)17 b(x)p Fw(\))34 b(p)s(oin)m(t)e(is)0 2516 y(accepted)i(with)e
16767 (probabilit)m(y)f Fj(f)11 b Fw(\()p Fj(t)1254 2531 y
16768 Fh(i)1282 2516 y Fj(;)17 b(x)1381 2531 y Fh(i)1409 2516
16769 y Fw(\))p Fj(=g)t Fw(\()p Fj(t)1620 2531 y Fh(i)1648
16770 2516 y Fj(;)g(x)1747 2531 y Fh(i)1775 2516 y Fw(\).)0
16771 2788 y Fp(4.3)135 b(The)45 b(Random)g(Num)l(b)t(er)g(Generator)0
16772 2961 y Fw(The)i(construction)g(of)f(a)g(go)s(o)s(d,)i(p)s(ortable)d
16773 (\(pseudo\)random)i(generator)f(is)g(not)g(a)g(trivial)e(task.)0
16774 3069 y(Therefore)d Fm(Jetset)f Fw(has)g(traditionally)d(sta)m(y)m(ed)42
16775 b(a)m(w)m(a)m(y)g(from)d(that)h(area,)i(and)f(just)f(pro)m(vided)h(the)
16776 0 3177 y(routine)c Fq(RLU)h Fw(as)g(an)g(in)m(terface,)h(whic)m(h)f
16777 (the)g(user)h(could)e(mo)s(dify)f(to)h(call)f(on)h(an)h(existing)f
16778 (routine,)0 3286 y(implemen)m(ted)31 b(on)i(the)g(actual)e(mac)m(hine)h
16779 (b)s(eing)g(used.)146 3394 y(In)c(recen)m(t)h(y)m(ears,)h(progress)e
16780 (has)g(b)s(een)g(made)f(in)g(constructing)g(p)s(ortable)g(generators)h
16781 (with)f(large)0 3502 y(p)s(erio)s(ds)k(and)g(other)h(go)s(o)s(d)e(prop)
16782 s(erties;)i(see)h(the)f(review)g([Jam90)o(].)43 b(Therefore)32
16783 b(the)g(curren)m(t)h(v)m(ersion)0 3611 y(con)m(tains)47
16784 b(a)f(random)g(n)m(um)m(b)s(er)i(generator)f(based)g(on)g(the)g
16785 (algorithm)d(prop)s(osed)k(b)m(y)f(Marsaglia,)0 3719
16786 y(Zaman)37 b(and)i(Tsang)g([Mar90].)61 b(This)39 b(routine)f(should)g
16787 (w)m(ork)h(on)g(an)m(y)g(mac)m(hine)f(with)g(a)g(man)m(tissa)0
16788 3827 y(of)c(at)f(least)h(24)g(digits,)f(i.e.)47 b(all)32
16789 b(common)h(32-bit)f(\(or)i(more\))f(computers.)49 b(Giv)m(en)34
16790 b(the)g(same)g(initial)0 3936 y(state,)50 b(the)c(sequence)j(will)44
16791 b(also)h(b)s(e)h(iden)m(tical)f(on)h(di\013eren)m(t)g(mac)m(hines.)84
16792 b(This)46 b(need)h(not)f(mean)0 4044 y(that)c(the)g(same)g(sequence)j
16793 (of)c(ev)m(en)m(ts)j(will)c(b)s(e)i(generated)h(on)f(an)g(IBM)g(and)h
16794 (a)e(V)-11 b(AX,)43 b(sa)m(y)-8 b(,)45 b(since)0 4152
16795 y(the)d(di\013eren)m(t)f(treatmen)m(ts)h(of)f(roundo\013)g(errors)h(in)
16796 f(n)m(umerical)f(op)s(erations)g(will)f(lead)i(to)g(sligh)m(tly)0
16797 4261 y(di\013eren)m(t)29 b(real)g(n)m(um)m(b)s(ers)h(b)s(eing)e(tested)
16798 i(against)f(these)h(random)e(n)m(um)m(b)s(ers)i(in)f(IF)g(statemen)m
16799 (ts.)43 b(Also)0 4369 y(co)s(de)d(optimization)d(ma)m(y)j(lead)f(to)h
16800 (a)g(div)m(ergence.)67 b(Apart)40 b(from)e(nomenclature)i(issues,)j
16801 (and)d(the)0 4478 y(co)s(ding)h(of)49 b Fq(RLU)43 b Fw(as)g(a)f
16802 (function)f(rather)i(than)f(a)g(subroutine,)j(the)e(only)f
16803 (di\013erence)h(b)s(et)m(w)m(een)h(the)0 4586 y Fm(Jetset)32
16804 b Fw(co)s(de)h(and)g(the)g(co)s(de)g(giv)m(en)g(in)f([Jam90)o(])h(is)f
16805 (that)h(sligh)m(tly)e(di\013eren)m(t)i(algorithms)d(are)j(used)0
16806 4694 y(to)f(ensure)i(that)f(the)g(random)e(n)m(um)m(b)s(er)i(is)f(not)h
16807 (equal)f(to)g(0)h(or)f(1)g(within)g(the)h(mac)m(hine)f(precision.)146
16808 4803 y(The)j(generator)e(has)h(a)g(p)s(erio)s(d)e(of)i(o)m(v)m(er)g(10)
16809 1764 4766 y Fl(43)1838 4803 y Fw(,)g(and)g(the)g(p)s(ossibilit)m(y)e
16810 (to)h(obtain)f(almost)g(10)3563 4766 y Fl(9)3636 4803
16811 y Fw(dif-)0 4911 y(feren)m(t)j(and)f(disjoin)m(t)f(subsequences,)38
16812 b(selected)e(b)m(y)f(giving)d(an)i(initial)c(in)m(teger)k(n)m(um)m(b)s
16813 (er.)49 b(The)35 b(price)0 5019 y(to)28 b(b)s(e)h(paid)f(for)g(the)i
16814 (long)d(p)s(erio)s(d)h(is)g(that)g(the)i(state)f(of)f(the)h(generator)g
16815 (at)f(a)h(giv)m(en)f(momen)m(t)g(cannot)0 5128 y(b)s(e)40
16816 b(describ)s(ed)g(b)m(y)g(a)f(single)f(in)m(teger,)j(but)f(requires)g
16817 (ab)s(out)f(100)f(w)m(ords.)65 b(Some)39 b(of)f(these)j(are)e(real)0
16818 5236 y(n)m(um)m(b)s(ers,)32 b(and)f(are)f(th)m(us)i(not)f(correctly)g
16819 (represen)m(ted)i(in)d(decimal)e(form.)42 b(The)32 b(normal)c(pro)s
16820 (cedure,)0 5344 y(whic)m(h)41 b(mak)m(es)f(it)f(p)s(ossible)h(to)g
16821 (restart)g(the)h(generation)e(from)g(a)h(seed)h(v)-5
16822 b(alue)40 b(written)g(to)g(the)g(run)0 5453 y(output,)29
16823 b(is)e(therefore)i(not)e(con)m(v)m(enien)m(t.)44 b(The)29
16824 b(CERN)f(library)f(implemen)m(tation)d(k)m(eeps)30 b(trac)m(k)f(of)e
16825 (the)0 5561 y(n)m(um)m(b)s(er)33 b(of)f(random)f(n)m(um)m(b)s(ers)j
16826 (generated)f(since)g(the)g(start.)43 b(With)32 b(this)g(v)-5
16827 b(alue)32 b(sa)m(v)m(ed,)i(in)e(a)g(subse-)0 5669 y(quen)m(t)f(run)f
16828 (the)g(random)f(generator)h(can)g(b)s(e)g(ask)m(ed)h(to)e(skip)h(ahead)
16829 g(the)g(corresp)s(onding)g(n)m(um)m(b)s(er)g(of)1841
16830 5953 y(48)p eop
16831 %%Page: 49 55
16832 49 54 bop 0 -18 a Fw(random)29 b(n)m(um)m(b)s(ers.)44
16833 b Fm(Jetset)29 b Fw(is)h(a)g(hea)m(vy)h(user)h(of)d(random)h(n)m(um)m
16834 (b)s(ers,)h(ho)m(w)m(ev)m(er:)45 b(t)m(ypically)29 b(30\045)h(of)0
16835 90 y(the)g(full)e(run)i(time)e(is)h(sp)s(en)m(t)i(on)f(random)f(n)m(um)
16836 m(b)s(er)h(generation.)42 b(Of)29 b(this,)h(half)f(is)g(o)m(v)m(erhead)
16837 i(coming)0 198 y(from)j(the)i(function)f(call)f(administration,)f(but)i
16838 (the)h(other)g(half)e(is)h(truly)g(related)g(to)g(the)h(sp)s(eed)h(of)0
16839 307 y(the)31 b(algorithm.)40 b(Therefore)32 b(a)f(skipping)f(ahead)h(w)
16840 m(ould)g(tak)m(e)h(place)f(with)f(15\045)h(of)g(the)g(time)f(cost)h(of)
16841 0 415 y(the)i(original)c(run,)k(i.e.)43 b(an)33 b(uncomfortably)e(high)
16842 h(\014gure.)146 523 y(Instead)48 b(a)f(di\013eren)m(t)g(solution)f(is)g
16843 (c)m(hosen)j(here.)88 b(Tw)m(o)48 b(sp)s(ecial)e(routines)h(are)g(pro)m
16844 (vided)g(for)0 632 y(writing)35 b(and)i(reading)f(the)h(state)g(of)f
16845 (the)h(random)f(n)m(um)m(b)s(er)h(generator)g(\(plus)f(some)h
16846 (initialization)0 740 y(information\))24 b(on)j(a)g(sequen)m(tial)h
16847 (\014le,)g(in)f(a)g(mac)m(hine-dep)s(enden)m(t)h(in)m(ternal)e
16848 (represen)m(tation.)43 b(The)28 b(\014le)0 848 y(used)34
16849 b(for)f(this)f(purp)s(ose)i(has)f(to)g(b)s(e)g(sp)s(eci\014ed)h(b)m(y)g
16850 (y)m(ou,)f(and)g(op)s(ened)h(for)f(read)g(and)g(write.)44
16851 b(A)33 b(state)0 957 y(is)d(written)g(as)h(a)f(single)f(record,)i(in)f
16852 (free)h(format.)41 b(It)30 b(is)g(p)s(ossible)g(to)g(write)g(an)g
16853 (arbitrary)f(n)m(um)m(b)s(er)i(of)0 1065 y(states)h(on)f(a)g(\014le,)h
16854 (and)f(a)g(record)h(can)f(b)s(e)h(o)m(v)m(erwritten,)h(if)d(so)h
16855 (desired.)44 b(The)32 b(ev)m(en)m(t)h(generation)e(lo)s(op)0
16856 1173 y(migh)m(t)g(then)i(lo)s(ok)f(something)f(lik)m(e:)119
16857 1286 y(1.)49 b(sa)m(v)m(e)34 b(the)f(state)g(of)f(the)h(generator)g(on)
16858 f(\014le)g(\(using)h(\015ag)f(set)h(in)f(p)s(oin)m(t)g(3)g(b)s(elo)m
16859 (w\),)119 1404 y(2.)49 b(generate)33 b(an)g(ev)m(en)m(t,)119
16860 1522 y(3.)49 b(study)42 b(the)f(ev)m(en)m(t)i(for)d(errors)h(or)f
16861 (other)h(reasons)h(wh)m(y)g(to)f(regenerate)g(it)f(later;)k(set)d
16862 (\015ag)g(to)244 1630 y(o)m(v)m(erwrite)48 b(previous)f(generator)g
16863 (state)g(if)f(no)h(errors,)k(otherwise)c(set)h(\015ag)e(to)h(create)h
16864 (new)244 1739 y(record;)119 1856 y(4.)h(lo)s(op)31 b(bac)m(k)j(to)e(p)s
16865 (oin)m(t)f(1.)0 1969 y(With)25 b(this)g(pro)s(cedure,)j(the)e(\014le)f
16866 (will)e(con)m(tain)j(the)g(state)g(b)s(efore)f(eac)m(h)i(of)e(the)h
16867 (problematical)c(ev)m(en)m(ts.)0 2078 y(An)34 b(alternativ)m(e)g
16868 (approac)m(h)g(migh)m(t)f(b)s(e)h(to)g(sa)m(v)m(e)h(the)g(state)f(ev)m
16869 (ery)i(100)d(ev)m(en)m(ts)k(or)d(so.)48 b(If)34 b(the)g(ev)m(en)m(ts)0
16870 2186 y(are)25 b(subsequen)m(tly)j(pro)s(cessed)f(through)e(a)f
16871 (detector)i(sim)m(ulation,)e(y)m(ou)i(ma)m(y)f(ha)m(v)m(e)h(to)f(sa)m
16872 (v)m(e)h(also)e(other)0 2295 y(sets)34 b(of)e(seeds,)i(naturally)-8
16873 b(.)146 2403 y(In)32 b(addition)e(to)i(the)g(service)h(routines,)f(the)
16874 g(common)e(blo)s(c)m(k)i(whic)m(h)g(con)m(tains)g(the)h(state)f(of)f
16875 (the)0 2511 y(generator)41 b(is)g(a)m(v)-5 b(ailable)39
16876 b(for)i(manipulation,)g(if)f(y)m(ou)i(so)g(desire.)71
16877 b(In)41 b(particular,)h(the)g(initial)c(seed)0 2620 y(v)-5
16878 b(alue)35 b(is)g(b)m(y)i(default)e(19780503,)g(i.e.)52
16879 b(di\013eren)m(t)36 b(from)f(the)h(Marsaglia/CERN)e(default)h
16880 (54217137.)0 2728 y(It)k(is)e(p)s(ossible)h(to)g(c)m(hange)i(this)e(v)
16881 -5 b(alue)38 b(b)s(efore)g(an)m(y)h(random)f(n)m(um)m(b)s(ers)h(ha)m(v)
16882 m(e)h(b)s(een)f(generated,)i(or)0 2836 y(to)36 b(force)h
16883 (reinitialization)32 b(in)k(mid-run)f(with)h(an)m(y)i(desired)f(new)h
16884 (seed.)57 b(Inside)37 b Fm(Jetset/Pythia)p Fw(,)0 2945
16885 y(some)d(initialization)29 b(ma)m(y)34 b(tak)m(e)h(place)f(in)f
16886 (connection)h(with)g(the)h(v)m(ery)h(\014rst)e(ev)m(en)m(t)i(generated)
16887 f(in)f(a)0 3053 y(run,)d(so)g(sometimes)e(it)g(ma)m(y)h(b)s(e)h
16888 (necessary)i(to)d(generate)h(one)f(ordinary)g(ev)m(en)m(t)i(b)s(efore)f
16889 (reading)e(in)h(a)0 3161 y(sa)m(v)m(ed)k(state)f(to)g(generate)g(an)f
16890 (in)m(teresting)h(ev)m(en)m(t.)45 b(In)33 b(the)g(curren)m(t)h
16891 Fm(Pythia)e Fw(v)m(ersion,)i(some)e(of)g(the)0 3270 y(m)m(ultiple)d(in)
16892 m(teraction)h(mac)m(hinery)h(options)f(con)m(tain)h(an)g(elemen)m(t)g
16893 (of)g(learning,)f(whic)m(h)h(means)h(that)0 3378 y(the)h(ev)m(en)m(t)h
16894 (sequence)i(ma)m(y)c(b)s(e)h(brok)m(en.)146 3486 y(It)44
16895 b(should)g(b)s(e)g(noted)g(that,)j(of)c(course,)48 b(the)d(app)s
16896 (earance)f(of)g(a)f(random)g(n)m(um)m(b)s(er)h(generator)0
16897 3595 y(pac)m(k)-5 b(age)32 b(inside)f Fm(Jetset)g Fw(do)s(es)h(in)f(no)
16898 h(w)m(a)m(y)h(preclude)f(the)h(use)f(of)g(other)f(routines.)44
16899 b(Y)-8 b(ou)31 b(can)h(easily)0 3703 y(rev)m(ert)f(to)e(the)h(old)e
16900 (approac)m(h,)j(where)f Fq(RLU)g Fw(is)f(nothing)g(but)h(an)f(in)m
16901 (terface)h(to)f(an)g(arbitrary)f(external)0 3811 y(random)k(n)m(um)m(b)
16902 s(er)h(generator;)f(e.g.)44 b(to)32 b(call)f(a)h(routine)g
16903 Fq(RNDM)i Fw(all)c(y)m(ou)k(need)f(to)g(ha)m(v)m(e)g(is)308
16904 3997 y Fq(FUNCTION)53 b(RLU\(IDUMMY\))103 4105 y(100)f
16905 (RLU=RNDM\(IDUMMY\))308 4214 y(IF\(RLU.LE.0..OR.RLU.GE.1.\))58
16906 b(GOTO)52 b(100)308 4322 y(RETURN)308 4430 y(END)146
16907 4616 y Fw(The)34 b(random)e(generator)g(subpac)m(k)-5
16908 b(age)34 b(consists)f(of)f(the)h(follo)m(wing)d(comp)s(onen)m(ts.)p
16909 0 4760 928 9 v 0 4980 9 220 v 79 4900 a Fq(R)52 b(=)f(RLU\(IDUMMY\))p
16910 919 4980 V 0 4988 928 9 v 0 5125 a Fo(Purp)s(ose:)d Fw(to)38
16911 b(generate)h(a)f(\(pseudo\)random)h(n)m(um)m(b)s(er)g
16912 Fq(R)g Fw(uniformly)d(in)i(the)h(range)f(0)p Fj(<)p Fq(R)p
16913 Fj(<)p Fw(1,)i(i.e.)472 5233 y(excluding)33 b(the)g(endp)s(oin)m(ts.)0
16914 5342 y Fq(IDUMMY)53 b(:)62 b Fw(dumm)m(y)33 b(input)f(argumen)m(t;)g
16915 (normally)e(0.)p 0 5486 1235 9 v 0 5711 9 225 v 79 5626
16916 a Fq(CALL)52 b(RLUGET\(LFN,MOVE\))p 1227 5711 V 0 5719
16917 1235 9 v 1841 5953 a Fw(49)p eop
16918 %%Page: 50 56
16919 50 55 bop 0 -18 a Fo(Purp)s(ose:)48 b Fw(to)30 b(dump)h(the)h(curren)m
16920 (t)g(state)f(of)g(the)g(random)f(n)m(um)m(b)s(er)i(generator)e(on)h(a)g
16921 (separate)h(\014le,)472 90 y(using)i(in)m(ternal)e(represen)m(tation)i
16922 (for)f(real)g(and)h(in)m(teger)f(n)m(um)m(b)s(ers.)47
16923 b(T)-8 b(o)34 b(b)s(e)f(precise,)i(the)472 198 y(full)41
16924 b(con)m(ten)m(ts)k(of)d(the)h Fq(LUDATR)i Fw(common)c(blo)s(c)m(k)i
16925 (are)f(written)h(on)g(the)g(\014le,)i(with)d(the)472
16926 307 y(exception)34 b(of)39 b Fq(MRLU\(6\))p Fw(.)0 415
16927 y Fq(LFN)52 b(:)216 b Fw(\(logical)30 b(\014le)j(n)m(um)m(b)s(er\))g
16928 (the)h(\014le)f(n)m(um)m(b)s(er)g(to)g(whic)m(h)h(the)f(state)h(is)e
16929 (dump)s(ed.)45 b(Y)-8 b(ou)33 b(m)m(ust)472 523 y(asso)s(ciate)g(this)g
16930 (n)m(um)m(b)s(er)h(with)f(a)g(true)g(\014le)g(\(with)g(a)g(mac)m
16931 (hine-dep)s(enden)m(t)h(name\),)f(and)472 632 y(see)h(to)e(it)g(that)g
16932 (this)h(\014le)f(is)g(op)s(en)h(for)f(write.)0 740 y
16933 Fq(MOVE)52 b(:)165 b Fw(c)m(hoice)27 b(of)f(adding)f(a)h(new)h(record)g
16934 (to)f(the)h(\014le)f(or)g(o)m(v)m(erwriting)f(old)h(record\(s\).)42
16935 b(Normally)472 848 y(only)33 b(options)e(0)i(or)f Fn(\000)p
16936 Fw(1)h(should)f(b)s(e)h(used.)236 957 y Fq(=)52 b(0)f(\(or)h(>)g(0\))g
16937 (:)47 b Fw(add)33 b(a)f(new)i(record)f(to)f(the)h(end)g(of)f(the)h
16938 (\014le.)236 1065 y Fq(=)52 b(-1)g(:)165 b Fw(o)m(v)m(erwrite)36
16939 b(the)f(last)g(record)h(with)f(a)f(new)j(one)e(\(i.e.)51
16940 b(do)35 b(one)h Fq(BACKSPACE)h Fw(b)s(efore)709 1173
16941 y(the)c(new)g(write\).)236 1282 y Fq(=)52 b Fn(\000)p
16942 Fj(n)g Fq(:)132 b Fw(bac)m(k)35 b(up)g Fj(n)g Fw(records)g(b)s(efore)g
16943 (writing)e(the)i(new)g(record.)50 b(The)36 b(records)f(follo)m(wing)709
16944 1390 y(after)k(the)h(new)h(one)f(are)g(lost,)h(i.e.)65
16945 b(the)40 b(last)f Fj(n)h Fw(old)f(records)h(are)g(lost)f(and)h(one)709
16946 1498 y(new)33 b(added.)p 0 1623 1235 9 v 0 1848 9 225
16947 v 79 1763 a Fq(CALL)52 b(RLUSET\(LFN,MOVE\))p 1227 1848
16948 V 0 1856 1235 9 v 0 1988 a Fo(Purp)s(ose:)c Fw(to)24
16949 b(read)g(in)g(a)g(state)h(for)f(the)g(random)g(n)m(um)m(b)s(er)h
16950 (generator,)h(from)d(whic)m(h)i(the)f(subsequen)m(t)472
16951 2096 y(generation)48 b(can)g(pro)s(ceed.)91 b(The)49
16952 b(state)g(m)m(ust)f(previously)g(ha)m(v)m(e)i(b)s(een)f(sa)m(v)m(ed)h
16953 (b)m(y)f(a)472 2205 y Fq(RLUGET)42 b Fw(call.)63 b(Again)39
16954 b(the)h(full)e(con)m(ten)m(ts)k(of)d(the)h Fq(LUDATR)h
16955 Fw(common)e(blo)s(c)m(k)g(are)h(read,)472 2313 y(with)33
16956 b(the)g(exception)g(of)39 b Fq(MRLU\(6\))p Fw(.)0 2421
16957 y Fq(LFN)52 b(:)216 b Fw(\(logical)34 b(\014le)i(n)m(um)m(b)s(er\))g
16958 (the)h(\014le)f(n)m(um)m(b)s(er)h(from)e(whic)m(h)i(the)f(state)h(is)f
16959 (read.)55 b(Y)-8 b(ou)36 b(m)m(ust)472 2530 y(asso)s(ciate)i(this)f(n)m
16960 (um)m(b)s(er)h(with)f(a)g(true)h(\014le)f(previously)h(written)g(with)f
16961 (a)g Fq(RLUGET)i Fw(call,)472 2638 y(and)33 b(see)h(to)e(it)g(that)g
16962 (this)g(\014le)g(is)g(op)s(en)h(for)f(read.)0 2746 y
16963 Fq(MOVE)52 b(:)165 b Fw(p)s(ositioning)23 b(in)i(\014le)h(b)s(efore)g
16964 (a)f(record)h(is)g(read.)41 b(With)25 b(zero)h(v)-5 b(alue,)27
16965 b(records)g(are)e(read)h(one)472 2855 y(after)f(the)g(other)h(for)e
16966 (eac)m(h)i(new)g(call,)e(while)h(non-zero)f(v)-5 b(alues)25
16967 b(ma)m(y)g(b)s(e)g(used)h(to)f(na)m(vigate)472 2963 y(bac)m(k)34
16968 b(and)f(forth,)f(and)h(e.g.)43 b(return)33 b(to)g(the)g(same)f(initial)
16969 d(state)k(sev)m(eral)g(times.)236 3071 y Fq(=)52 b(0)f(:)217
16970 b Fw(read)32 b(the)h(next)h(record.)236 3180 y Fq(=)52
16971 b Fw(+)p Fj(n)f Fq(:)134 b Fw(skip)32 b(ahead)h Fj(n)f
16972 Fw(records)i(b)s(efore)e(reading)g(the)g(record)h(that)f(sets)i(the)e
16973 (state)h(of)f(the)709 3288 y(random)f(n)m(um)m(b)s(er)i(generator.)236
16974 3396 y Fq(=)52 b Fn(\000)p Fj(n)g Fq(:)132 b Fw(bac)m(k)42
16975 b(up)g Fj(n)f Fw(records)h(b)s(efore)g(reading)e(the)i(record)g(that)f
16976 (sets)i(the)e(state)h(of)f(the)709 3505 y(random)31 b(n)m(um)m(b)s(er)i
16977 (generator.)p 0 3649 1748 9 v 0 3874 9 225 v 79 3789
16978 a Fq(COMMON/LUDATR/MRLU\(6\),RR)q(LU\(1)q(00\))p 1739
16979 3874 V 0 3882 1748 9 v 0 4019 a Fo(Purp)s(ose:)48 b Fw(to)e(con)m(tain)
16980 g(the)h(state)h(of)e(the)h(random)f(n)m(um)m(b)s(er)h(generator)g(at)f
16981 (an)m(y)h(momen)m(t)f(\(for)472 4128 y(comm)m(unication)c(b)s(et)m(w)m
16982 (een)k Fq(RLU)p Fw(,)f Fq(RLUGET)h Fw(and)e Fq(RLUSET)p
16983 Fw(\),)i(and)e(also)f(to)h(pro)m(vide)g(the)472 4236
16984 y(user)35 b(with)d(the)i(p)s(ossibilit)m(y)d(to)i(initialize)c
16985 (di\013eren)m(t)34 b(random)e(n)m(um)m(b)s(er)i(sequences,)i(and)472
16986 4344 y(to)d(kno)m(w)g(ho)m(w)h(man)m(y)e(n)m(um)m(b)s(ers)i(ha)m(v)m(e)
16987 g(b)s(een)f(generated.)0 4453 y Fq(MRLU\(1\))53 b(:)48
16988 b Fw(\(D=19780503\))30 b(the)j(in)m(teger)f(n)m(um)m(b)s(er)h(that)g
16989 (sp)s(eci\014es)h(whic)m(h)f(of)f(the)h(p)s(ossible)f(subse-)472
16990 4561 y(quences)k(will)c(b)s(e)h(initialized)d(in)j(the)h(next)h
16991 Fq(RLU)f Fw(call)e(for)h(whic)m(h)h Fq(MRLU\(2\)=0)p
16992 Fw(.)49 b(Allo)m(w)m(ed)472 4669 y(v)-5 b(alues)24 b(are)f(0)p
16993 Fn(\024)p Fq(MRLU\(1\))p Fn(\024)p Fw(900)16 b(000)g(000,)26
16994 b(the)e(original)c(Marsaglia)i(\(and)h(CERN)h(library\))472
16995 4778 y(seed)42 b(is)e(54217137.)64 b(The)41 b Fq(MRLU\(1\))h
16996 Fw(v)-5 b(alue)40 b(is)g(not)g(c)m(hanged)h(b)m(y)g(an)m(y)g(of)f(the)h
16997 Fm(Jetset)472 4886 y Fw(routines.)0 4994 y Fq(MRLU\(2\))53
16998 b(:)48 b Fw(\(D=0\))24 b(initialization)c(\015ag,)26
16999 b(put)g(to)f(1)g(in)f(the)i(\014rst)g Fq(RLU)g Fw(call)d(of)i(run.)41
17000 b(A)26 b(reinitialization)472 5103 y(of)g(the)h(random)e(n)m(um)m(b)s
17001 (er)i(generator)f(can)h(b)s(e)g(made)e(in)h(mid-run)f(b)m(y)i
17002 (resetting)h Fq(MRLU\(2\))472 5211 y Fw(to)j(0)g(b)m(y)i(hand.)43
17003 b(In)32 b(addition,)e(an)m(y)i(time)e(the)h(coun)m(ter)i
17004 Fq(MRLU\(3\))g Fw(reac)m(hes)g(1000000000,)472 5319 y(it)f(is)g(reset)i
17005 (to)e(0)g(and)h Fq(MRLU\(2\))h Fw(is)e(increased)i(b)m(y)f(1.)0
17006 5428 y Fq(MRLU\(3\))53 b(:)48 b Fw(\(D=0\))29 b(coun)m(ter)i(for)f(the)
17007 g(n)m(um)m(b)s(er)h(of)f(random)f(n)m(um)m(b)s(ers)i(generated)g(from)e
17008 (the)i(b)s(egin-)472 5536 y(ning)38 b(of)g(the)h(run.)62
17009 b(T)-8 b(o)39 b(a)m(v)m(oid)g(o)m(v)m(er\015o)m(w)h(when)g(v)m(ery)g
17010 (man)m(y)e(n)m(um)m(b)s(ers)i(are)f(generated,)472 5644
17011 y Fq(MRLU\(2\))c Fw(is)d(used)i(as)e(describ)s(ed)i(ab)s(o)m(v)m(e.)
17012 1841 5953 y(50)p eop
17013 %%Page: 51 57
17014 51 56 bop 0 -18 a Fq(MRLU\(4\),)53 b(MRLU\(5\))h(:)47
17015 b(I97)26 b Fw(and)e Fq(J97)i Fw(of)e(the)h(CERN)h(library)d(implemen)m
17016 (tation;)h(part)h(of)f(the)h(state)472 90 y(of)33 b(the)g(generator.)0
17017 198 y Fq(MRLU\(6\))53 b(:)48 b Fw(\(D=0\))40 b(curren)m(t)i(p)s
17018 (osition,)f(i.e.)69 b(ho)m(w)41 b(man)m(y)g(records)h(after)f(b)s
17019 (eginning,)h(in)e(the)i(\014le;)472 307 y(used)34 b(b)m(y)h
17020 Fq(RLUGET)f Fw(and)f Fq(RLUSET)p Fw(.)0 415 y Fq(RRLU\(1\))53
17021 b(-)f(RRLU\(97\))h(:)48 b Fw(the)43 b Fq(U)g Fw(arra)m(y)g(of)g(the)g
17022 (CERN)g(library)f(implemen)m(tation;)j(part)e(of)f(the)472
17023 523 y(state)33 b(of)g(the)g(generator.)0 632 y Fq(RRLU\(98\))53
17024 b(-)f(RRLU\(100\))i(:)47 b(C)p Fw(,)39 b Fq(CD)g Fw(and)g
17025 Fq(CM)g Fw(of)f(the)h(CERN)g(library)e(implemen)m(tation;)i(the)g
17026 (\014rst)472 740 y(part)f(of)f(the)h(state)g(of)f(the)h(generator,)i
17027 (the)e(latter)e(t)m(w)m(o)j(constan)m(ts)g(calculated)d(at)i(ini-)472
17028 848 y(tialization.)1841 5953 y(51)p eop
17029 %%Page: 52 58
17030 52 57 bop 0 -18 a Ft(5)161 b(The)53 b(Ev)l(en)l(t)f(Record)0
17031 189 y Fw(The)39 b(ev)m(en)m(t)h(record)e(is)g(the)g(cen)m(tral)g(rep)s
17032 (ository)g(for)g(information)c(ab)s(out)k(the)g(particles)g(pro)s
17033 (duced)0 297 y(in)33 b(the)h(curren)m(t)h(ev)m(en)m(t:)48
17034 b(\015a)m(v)m(ours,)35 b(momen)m(ta,)e(ev)m(en)m(t)j(history)-8
17035 b(,)34 b(and)g(pro)s(duction)f(v)m(ertices.)48 b(It)34
17036 b(pla)m(ys)0 405 y(a)e(v)m(ery)i(cen)m(tral)e(r^)-49
17037 b(ole:)42 b(without)32 b(a)g(prop)s(er)h(understanding)f(of)g(what)h
17038 (the)f(record)h(is)f(and)g(ho)m(w)h(infor-)0 514 y(mation)j(is)h
17039 (stored,)j(it)c(is)i(meaningless)e(to)i(try)g(to)f(use)i(either)e
17040 Fm(Jetset)g Fw(or)g Fm(Pythia)p Fw(.)59 b(The)39 b(record)0
17041 622 y(is)34 b(stored)h(in)e(the)i(common)e(blo)s(c)m(k)h
17042 Fq(LUJETS)p Fw(.)h(Almost)e(all)f(the)j(routines)f(thatthe)h(user)g
17043 (calls)e(can)h(b)s(e)0 730 y(view)m(ed)d(as)g(p)s(erforming)d(some)i
17044 (action)f(on)h(the)h(record:)42 b(\014ll)29 b(a)h(new)h(ev)m(en)m(t,)i
17045 (let)c(partons)h(fragmen)m(t)g(or)0 839 y(particles)i(deca)m(y)-8
17046 b(,)34 b(b)s(o)s(ost)e(it,)f(list)h(it,)f(\014nd)i(clusters,)h(etc.)146
17047 947 y(In)42 b(this)g(section)g(w)m(e)g(will)e(\014rst)i(describ)s(e)g
17048 (the)g(KF)f(\015a)m(v)m(our)i(co)s(de,)h(subsequen)m(tly)h(the)d
17049 Fq(LUJETS)0 1055 y Fw(common)35 b(blo)s(c)m(k,)h(and)h(then)f(giv)m(e)g
17050 (a)g(few)g(commen)m(ts)g(ab)s(out)g(the)g(r^)-49 b(ole)35
17051 b(of)h(the)g(ev)m(en)m(t)i(record)f(in)e(the)0 1164 y(programs.)146
17052 1272 y(T)-8 b(o)28 b(ease)g(the)f(in)m(terfacing)f(of)h(di\013eren)m(t)
17053 h(ev)m(en)m(t)h(generators,)f(a)f Fq(HEPEVT)i Fw(standard)f(common)e
17054 (blo)s(c)m(k)0 1380 y(structure)42 b(for)e(the)h(ev)m(en)m(t)h(record)f
17055 (has)g(b)s(een)g(agreed)g(on.)68 b(F)-8 b(or)39 b(historical)g(reasons)
17056 i(the)g(standard)0 1489 y(common)28 b(blo)s(c)m(ks)i(are)g(not)f
17057 (directly)g(used)i(in)e Fm(Jetset)p Fw(,)g(but)h(a)f(con)m(v)m(ersion)i
17058 (routine)e(comes)h(with)f(the)0 1597 y(program,)i(and)i(is)f(describ)s
17059 (ed)h(at)g(the)g(end)g(of)f(this)g(section.)0 1871 y
17060 Fp(5.1)135 b(P)l(article)47 b(Co)t(des)0 2044 y Fw(The)30
17061 b(new)g(particle)d(co)s(de)i(no)m(w)h(adopted)f(b)m(y)h(the)f(P)m
17062 (article)f(Data)g(Group)g([PDG88)o(,)h(PDG92)o(])g(is)f(used)0
17063 2152 y(consisten)m(tly)41 b(throughout)f(the)h(program,)g(and)g(is)f
17064 (referred)h(to)f(as)h(the)g(KF)f(particle)f(co)s(de.)67
17065 b(This)0 2260 y(co)s(de)33 b(y)m(ou)g(ha)m(v)m(e)h(to)e(b)s(e)h
17066 (thoroughly)f(familiar)c(with.)43 b(It)33 b(is)f(describ)s(ed)i(b)s
17067 (elo)m(w.)146 2369 y(Note)29 b(that)f(a)g(few)i(inconsistencies)e(b)s
17068 (et)m(w)m(een)j(the)e(KF)f(and)h(the)f(PDG)g(co)s(des)i(are)e(kno)m
17069 (wn,)j(whic)m(h)0 2477 y(stem)k(from)f(di\013erences)j(of)e(in)m
17070 (terpretation)f(of)h(the)g(rules)h(agreed)f(on)g(when)i(dev)m(eloping)e
17071 (the)h(stan-)0 2585 y(dard.)51 b(These)37 b(rules)f(form)d(the)j(basis)
17072 f(of)g(the)h(PDG)e(tables)h(and)g(\(indep)s(enden)m(tly\))h(of)f(the)h
17073 Fm(Jetset)0 2694 y Fw(tables.)65 b(\(Of)39 b(course,)k(m)m(y)d(priv)-5
17074 b(ate)39 b(opinion)f(is)i(that)f(I)h(follo)m(w)e(the)j(original)36
17075 b(agreemen)m(t,)42 b(and)e(the)0 2802 y(PDG)31 b(deviate)g(from)f
17076 (it.\))42 b(Hop)s(efully)-8 b(,)30 b(this)h(should)g(ha)m(v)m(e)i(few)f
17077 (practical)d(consequences,)35 b(since)d(only)0 2910 y(rarely-pro)s
17078 (duced)h(particles)e(are)i(a\013ected.)44 b(An)m(yw)m(a)m(y)-8
17079 b(,)35 b(here)e(is)g(a)f(list)f(of)h(the)h(kno)m(wn)h(discrepancies:)
17080 119 3023 y(1.)49 b(The)37 b(PDG)e(has)h(not)g(allo)m(w)m(ed)f(for)g
17081 (the)h(existence)h(of)f(an)f Fj(\021)2447 3038 y Fl(b)2491
17082 3023 y Fw(,)i(whic)m(h)f(in)f Fm(Jetset)g Fw(is)g(included)244
17083 3132 y(with)24 b(co)s(de)i(551.)40 b(This)25 b(co)s(de)g(is)g(reserv)m
17084 (ed)i(for)e Fj(\037)1988 3147 y Fl(0b)2091 3132 y Fw(b)m(y)h(the)g
17085 (PDG,)e(a)h(particle)e(whic)m(h)j(app)s(ears)f(as)244
17086 3240 y(10551)g(in)i Fm(Jetset)p Fw(.)40 b(\(W)-8 b(e)27
17087 b(agree)g(to)g(ha)m(v)m(e)h Fj(\021)1852 3255 y Fl(c)1914
17088 3240 y Fw(as)f(441,)g(whic)m(h)h(illustrates)d(the)i(basic)g
17089 (di\013erence:)244 3348 y(I)46 b(use)i(the)f(additional)c(recurrence)48
17090 b(\014gure)f(to)f(refer)h(to)f(a)g(whole)g(m)m(ultiplet,)i(whether)g
17091 (all)244 3457 y(particles)39 b(of)h(that)g(m)m(ultiplet)e(ha)m(v)m(e)k
17092 (b)s(een)f(found)f(or)g(not;)k(the)d(PDG,)f(on)g(the)h(other)f(hand,)
17093 244 3565 y(do)s(es)29 b(not)f(reserv)m(e)j(space)f(for)e(particles)f
17094 (whic)m(h)j(w)m(e)f(kno)m(w)h(should)e(b)s(e)h(there)g(but)g(ha)m(v)m
17095 (e)h(not)e(y)m(et)244 3673 y(b)s(een)33 b(disco)m(v)m(ered,)i(whic)m(h)
17096 e(means)f(that)h(mem)m(b)s(ers)f(of)g(a)g(m)m(ultiplet)f(need)i(not)g
17097 (go)f(together.\))119 3791 y(2.)49 b(The)26 b(PDG)e(has)h(not)g(allo)m
17098 (w)m(ed)g(for)f(the)h(existence)i(of)d(an)h(h)2345 3806
17099 y Fl(1c)2416 3791 y Fw(,)i(whic)m(h)e(in)g Fm(Jetset)e
17100 Fw(is)i(represen)m(ted)244 3900 y(b)m(y)37 b(10443.)53
17101 b(Therefore)37 b Fj(\037)1214 3915 y Fl(1c)1321 3900
17102 y Fw(is)e(the)i(PDG)e(co)s(de)i(10443)e(but)h Fm(Jetset)f
17103 Fw(co)s(de)i(20443.)52 b(F)-8 b(urther)244 4008 y Fj( )311
17104 3972 y Fk(0)370 4008 y Fw(is)35 b(either)h(20443)f(or)g(30443,)h(and)g
17105 (\007)1730 3972 y Fk(0)1786 4008 y Fw(=)e(\007\(2)p Fj(S)6
17106 b Fw(\))35 b(either)g(20553)g(or)h(30553.)52 b(\(Commen)m(t)35
17107 b(as)244 4116 y(for)d(p)s(oin)m(t)g(1.\))119 4234 y(3.)49
17108 b(Di\013eren)m(t)32 b(con)m(v)m(en)m(tions)j(for)d(spin)h(1)p
17109 Fj(=)p Fw(2)g(bary)m(ons)h(with)e(one)i(hea)m(vy)g(\015a)m(v)m(our)g
17110 (\(c)m(harm,)f(b)s(ottom,)244 4342 y(top\),)e(one)g(strange)g(\015a)m
17111 (v)m(our,)h(and)f(one)g(ligh)m(t)e(\(u)h(or)h(d\).)43
17112 b(Here)31 b(t)m(w)m(o)h(states)f(exist,)h(e.g.)43 b(\004)3533
17113 4306 y Fl(+)3533 4367 y(c)3622 4342 y Fw(and)244 4451
17114 y(\004)309 4415 y Fk(0)p Fl(+)309 4475 y(c)387 4451 y
17115 Fw(,)c(b)s(oth)e(with)g(\015a)m(v)m(our)i(con)m(ten)m(t)f(csu.)60
17116 b(By)38 b(analogy)e(with)h(the)h(\003)2807 4415 y Fl(0)2846
17117 4451 y Fw({\006)g(pair,)g Fm(Jetset)e Fw(uses)244 4559
17118 y(the)i(decreasing)g(order)g(of)g(\015a)m(v)m(our)g(con)m(ten)m(t)i
17119 (for)d(the)h(hea)m(vier)g(state)h(and)f(in)m(v)m(ersed)h(order)f(of)244
17120 4667 y(the)31 b(t)m(w)m(o)h(ligh)m(ter)e(\015a)m(v)m(ours)i(for)f(the)h
17121 (ligh)m(ter)d(state,)j(while)e(the)i(PDG)e(tables)h(use)h(the)g(opp)s
17122 (osite)244 4776 y(con)m(v)m(en)m(tion.)44 b(Th)m(us)33
17123 b(in)d Fm(Jetset)g Fw(\004)1554 4740 y Fl(+)1554 4800
17124 y(c)1645 4776 y Fw(is)g(4232)g(and)i(\004)2221 4740 y
17125 Fk(0)p Fl(+)2221 4800 y(c)2330 4776 y Fw(4322,)f(while)f(in)g(PDG)h(it)
17126 f(is)h(the)g(other)244 4884 y(w)m(a)m(y)j(around.)0 4997
17127 y(There)i(are)f(no)f(plans)h(to)f(c)m(hange)i(the)f Fm(Jetset)f
17128 Fw(rules)h(to)f(agree)h(with)f(the)i(PDG)e(ones)h(in)f(either)h(of)0
17129 5106 y(the)e(cases)h(ab)s(o)m(v)m(e.)146 5214 y(The)42
17130 b(KF)e(co)s(de)i(is)e(not)h(con)m(v)m(enien)m(t)h(for)f(a)f(direct)h
17131 (storing)f(of)g(masses,)k(deca)m(y)e(data,)h(or)d(other)0
17132 5322 y(particle)30 b(prop)s(erties,)i(since)g(the)g(KF)f(co)s(des)h
17133 (are)f(so)h(spread)h(out.)43 b(Instead)32 b(a)f(compressed)i(co)s(de)f
17134 (K)m(C)0 5431 y(b)s(et)m(w)m(een)h(1)d(and)h(500)f(is)g(used)i(here,)g
17135 (where)g(the)f(most)f(frequen)m(tly)i(used)f(particles)f(ha)m(v)m(e)i
17136 (a)f(separate)0 5539 y(co)s(de,)e(but)e(man)m(y)g(hea)m(vy-\015a)m(v)m
17137 (our)i(hadrons)e(are)g(lump)s(ed)f(together)i(in)e(groups.)42
17138 b(Normally)24 b(this)j(co)s(de)0 5647 y(is)j(only)f(used)j(at)d(v)m
17139 (ery)j(sp)s(eci\014c)f(places)f(in)f(the)i(program,)e(not)h(visible)f
17140 (to)h(the)g(user.)44 b(If)30 b(need)h(b)s(e,)g(the)1841
17141 5953 y(52)p eop
17142 %%Page: 53 59
17143 53 58 bop 1151 34 a Fw(T)-8 b(able)32 b(3:)44 b(Quark)32
17144 b(and)h(lepton)f(co)s(des.)p 877 160 2025 4 v 875 281
17145 4 121 v 927 248 a(KF)p 1115 281 V 99 w(Name)p 1461 281
17146 V 99 w(Prin)m(ted)p 1879 281 V 1896 281 V 117 w(KF)p
17147 2135 281 V 99 w(Name)p 2481 281 V 99 w(Prin)m(ted)p 2899
17148 281 V 877 284 2025 4 v 875 404 4 121 v 973 372 a(1)p
17149 1115 404 V 240 w(d)p 1461 404 V 330 w Fq(d)p 1879 404
17150 V 1896 404 V 271 w Fw(11)p 2135 404 V 192 w(e)2301 336
17151 y Fk(\000)p 2481 404 V 2640 372 a Fq(e-)p 2899 404 V
17152 875 525 V 973 492 a Fw(2)p 1115 525 V 240 w(u)p 1461
17153 525 V 330 w Fq(u)p 1879 525 V 1896 525 V 271 w Fw(12)p
17154 2135 525 V 202 w Fj(\027)2316 507 y Fl(e)p 2481 525 V
17155 2596 492 a Fq(nu)p 2704 492 31 4 v 38 w(e)p 2899 525
17156 4 121 v 875 645 V 973 613 a Fw(3)p 1115 645 V 248 w(s)p
17157 1461 645 V 338 w Fq(s)p 1879 645 V 1896 645 V 271 w Fw(13)p
17158 2135 645 V 185 w Fj(\026)2310 576 y Fk(\000)p 2481 645
17159 V 2615 613 a Fq(mu-)p 2899 645 V 875 765 V 973 733 a
17160 Fw(4)p 1115 765 V 246 w(c)p 1461 765 V 335 w Fq(c)p 1879
17161 765 V 1896 765 V 271 w Fw(14)p 2135 765 V 196 w Fj(\027)2310
17162 748 y Fh(\026)p 2481 765 V 2571 733 a Fq(nu)p 2679 733
17163 31 4 v 37 w(mu)p 2899 765 4 121 v 875 886 V 973 853 a
17164 Fw(5)p 1115 886 V 240 w(b)p 1461 886 V 330 w Fq(b)p 1879
17165 886 V 1896 886 V 271 w Fw(15)p 2135 886 V 187 w Fj(\034)2306
17166 817 y Fk(\000)p 2481 886 V 2589 853 a Fq(tau-)p 2899
17167 886 V 875 1006 V 973 974 a Fw(6)p 1115 1006 V 249 w(t)p
17168 1461 1006 V 337 w Fq(t)p 1879 1006 V 1896 1006 V 271
17169 w Fw(16)p 2135 1006 V 198 w Fj(\027)2312 989 y Fh(\034)p
17170 2481 1006 V 2545 974 a Fq(nu)p 2653 974 31 4 v 37 w(tau)p
17171 2899 1006 4 121 v 875 1127 V 973 1094 a Fw(7)p 1115 1127
17172 V 254 w(l)p 1461 1127 V 342 w Fq(l)p 1879 1127 V 1896
17173 1127 V 271 w Fw(17)p 2135 1127 V 183 w Fj(\037)2310 1058
17174 y Fk(\000)p 2481 1127 V 2589 1094 a Fq(chi-)p 2899 1127
17175 V 875 1247 V 973 1214 a Fw(8)p 1115 1247 V 240 w(h)p
17176 1461 1247 V 330 w Fq(h)p 1879 1247 V 1896 1247 V 271
17177 w Fw(18)p 2135 1247 V 195 w Fj(\027)2309 1229 y Fh(\037)p
17178 2481 1247 V 2545 1214 a Fq(nu)p 2653 1214 31 4 v 37 w(chi)p
17179 2899 1247 4 121 v 875 1367 V 973 1335 a Fw(9)p 1115 1367
17180 V 1461 1367 V 1879 1367 V 1896 1367 V 946 w(19)p 2135
17181 1367 V 2481 1367 V 2899 1367 V 875 1488 V 948 1455 a(10)p
17182 1115 1488 V 1461 1488 V 1879 1488 V 1896 1488 V 922 w(20)p
17183 2135 1488 V 2481 1488 V 2899 1488 V 877 1491 2025 4 v
17184 0 1761 a(corresp)s(ondence)g(can)e(alw)m(a)m(ys)g(b)s(e)f(obtained)g(b)
17185 m(y)i(using)e(the)h(function)f Fq(LUCOMP)p Fw(,)i Fq(KC)52
17186 b(=)g(LUCOMP\(KF\))r Fw(.)0 1870 y(It)38 b(is)f(therefore)h(not)f(in)m
17187 (tended)h(that)f(y)m(ou)h(should)g(ev)m(er)h(need)f(to)f(kno)m(w)i(an)m
17188 (y)f(K)m(C)g(co)s(des)g(at)f(all.)56 b(It)0 1978 y(ma)m(y)32
17189 b(b)s(e)h(useful)g(to)f(kno)m(w,)i(ho)m(w)m(ev)m(er,)h(that)d(for)g(co)
17190 s(des)i(smaller)c(than)j(80,)f(KF)g(and)h(K)m(C)g(agree.)146
17191 2086 y(The)25 b(particle)e(names)h(prin)m(ted)g(in)f(the)i(tables)e(in)
17192 h(this)f(section)h(corresp)s(ond)h(to)f(the)g(ones)h(obtained)0
17193 2195 y(with)45 b(the)h(routine)e Fq(LUNAME)p Fw(,)j(whic)m(h)f(is)f
17194 (used)h(extensiv)m(ely)-8 b(,)50 b(e.g.)82 b(in)44 b
17195 Fq(LULIST)p Fw(.)j(Greek)f(c)m(haracters)0 2303 y(are)41
17196 b(sp)s(elt)g(out)f(in)g(full,)i(with)e(a)h(capital)e(\014rst)i(letter)g
17197 (to)f(corresp)s(ond)i(to)f(a)f(capital)f(Greek)j(letter.)0
17198 2411 y(Generically)31 b(the)i(name)f(of)g(a)g(particle)g(is)g(made)g
17199 (up)h(of)f(the)h(follo)m(wing)d(pieces:)119 2525 y(1.)49
17200 b(The)38 b(basic)f(ro)s(ot)f(name.)57 b(This)37 b(includes)g(a)g(*)g
17201 (for)f(most)h(spin)g(1)g(\()p Fj(L)f Fw(=)f(0\))i(mesons)g(and)h(spin)
17202 244 2633 y(3)p Fj(=)p Fw(2)f(bary)m(ons,)j(and)e(a)1106
17203 2597 y Fk(0)1167 2633 y Fw(for)g(some)f(spin)h(1)p Fj(=)p
17204 Fw(2)f(bary)m(ons)i(\(where)g(there)f(are)g(t)m(w)m(o)g(states)h(to)e
17205 (b)s(e)244 2741 y(distinguished,)27 b(cf.)42 b(\003{\006)1187
17206 2705 y Fl(0)1226 2741 y Fw(\).)g(The)27 b(rules)g(for)f(hea)m(vy)j
17207 (bary)m(on)e(naming)e(are)i(in)f(accordance)i(with)244
17208 2850 y(the)38 b(1986)e(P)m(article)h(Data)f(Group)h(con)m(v)m(en)m
17209 (tions)i([PDG86)o(].)59 b(F)-8 b(or)36 b(mesons)i(with)f(one)h(unit)f
17210 (of)244 2958 y(orbital)28 b(angular)g(momen)m(tum,)h(K)h(\(D,)f(B,)h(.)
17211 16 b(.)g(.)g(\))44 b(is)29 b(used)i(for)f(quark-spin)g(0)f(and)h(K*)g
17212 (\(D*,)g(B*,)244 3066 y(.)16 b(.)g(.)g(\))45 b(for)33
17213 b(quark-spin)g(1)g(mesons;)g(the)h(con)m(v)m(en)m(tion)g(for)e(`*')h
17214 (ma)m(y)g(here)g(deviate)g(sligh)m(tly)f(from)244 3175
17215 y(the)h(one)g(used)g(b)m(y)h(the)f(PDG.)119 3292 y(2.)49
17216 b(An)m(y)38 b(lo)m(w)m(er)g(indices,)g(separated)g(from)e(the)i(ro)s
17217 (ot)e(b)m(y)i(a)p 2367 3292 30 4 v 72 w(.)58 b(F)-8 b(or)36
17218 b(hea)m(vy)j(hadrons,)g(this)e(is)g(the)244 3401 y(additional)30
17219 b(hea)m(vy-\015a)m(v)m(our)k(con)m(ten)m(t)g(not)f(inheren)m(t)g(in)f
17220 (the)h(ro)s(ot)f(itself.)43 b(F)-8 b(or)32 b(a)g(diquark,)h(it)f(is)244
17221 3509 y(the)h(spin.)119 3627 y(3.)49 b(The)32 b(c)m(haracter)f
17222 Fn(\030)g Fw(\(alternativ)m(ely)f(bar,)h(see)g Fq(MSTU\(15\))p
17223 Fw(\))i(for)d(an)h(an)m(tiparticle,)e(wherev)m(er)k(the)244
17224 3735 y(distinction)f(b)s(et)m(w)m(een)k(particle)d(and)h(an)m
17225 (tiparticle)e(is)h(not)h(inheren)m(t)g(in)f(the)i(c)m(harge)f(informa-)
17226 244 3844 y(tion.)119 3961 y(4.)49 b(Charge)22 b(information:)35
17227 b(++,)24 b(+,)g(0,)g Fn(\000)p Fw(,)g(or)e Fn(\000\000)p
17228 Fw(.)40 b(Charge)23 b(is)e(not)h(giv)m(en)g(for)f(quarks)i(or)f
17229 (diquarks.)244 4070 y(Some)40 b(neutral)f(particles)g(whic)m(h)i(are)f
17230 (customarily)f(giv)m(en)h(without)g(a)f(0)h(also)f(here)i(lac)m(k)f
17231 (it,)244 4178 y(suc)m(h)h(as)f(neutrinos,)h(g)q(,)g Fj(\015)5
17232 b Fw(,)42 b(and)d(\015a)m(v)m(our-diagonal)f(mesons)i(other)f(than)h
17233 Fj(\031)3120 4142 y Fl(0)3199 4178 y Fw(and)f Fj(\032)3445
17234 4142 y Fl(0)3485 4178 y Fw(.)64 b(Note)244 4286 y(that)35
17235 b(c)m(harge)g(is)g(included)f(b)s(oth)h(for)g(the)g(proton)g(and)g(the)
17236 g(neutron.)51 b(While)34 b(non-standard,)244 4395 y(it)d(is)i(helpful)e
17237 (in)h(a)m(v)m(oiding)f(misunderstandings)i(when)g(lo)s(oking)e(at)h(an)
17238 h(ev)m(en)m(t)h(listing.)146 4508 y(Belo)m(w)i(follo)m(ws)f(a)g(list)f
17239 (of)i(KF)f(particle)f(co)s(des.)54 b(The)37 b(list)d(is)i(not)f
17240 (complete;)i(a)e(more)g(extensiv)m(e)0 4616 y(one)42
17241 b(ma)m(y)f(b)s(e)h(obtained)e(with)i Fq(CALL)52 b(LULIST\(11\))p
17242 Fw(.)73 b(P)m(articles)41 b(are)g(group)s(ed)h(together,)i(and)d(the)0
17243 4724 y(basic)i(rules)f(are)h(describ)s(ed)h(for)e(eac)m(h)i(group.)74
17244 b(Whenev)m(er)45 b(a)d(distinct)g(an)m(tiparticle)f(exists,)46
17245 b(it)c(is)0 4833 y(giv)m(en)33 b(the)g(same)f(KF)g(co)s(de)h(with)f(a)h
17246 (min)m(us)f(sign)g(\(whereas)i(K)m(C)f(co)s(des)g(are)g(alw)m(a)m(ys)g
17247 (p)s(ositiv)m(e\).)119 4951 y(1.)49 b(Quarks)33 b(and)g(leptons,)f(T)-8
17248 b(able)33 b(3.)244 5059 y(This)48 b(group)g(con)m(tains)h(the)f(basic)g
17249 (building)e(blo)s(c)m(ks)j(of)f(matter,)j(arranged)d(according)g(to)244
17250 5167 y(family)-8 b(,)43 b(with)g(the)h(lo)m(w)m(er)f(mem)m(b)s(er)g(of)
17251 f(w)m(eak)j(iso)s(doublets)d(also)g(ha)m(ving)h(the)h(smaller)d(co)s
17252 (de)244 5276 y(\(th)m(us)29 b(d)g(precedes)i(u,)e(con)m(trary)g(to)f
17253 (the)h(ordering)f(in)g(previous)h Fm(Jetset)e Fw(v)m(ersions\).)43
17254 b(A)29 b(fourth)244 5384 y(generation)38 b(is)h(included)g(for)f
17255 (future)i(reference.)65 b(The)40 b(quark)g(co)s(des)g(are)f(used)h(as)g
17256 (building)244 5492 y(blo)s(c)m(ks)33 b(for)f(the)h(diquark,)g(meson)f
17257 (and)h(bary)m(on)g(co)s(des)g(b)s(elo)m(w.)119 5610 y(2.)49
17258 b(Gauge)32 b(b)s(osons)h(and)g(other)g(fundamen)m(tal)e(b)s(osons,)i(T)
17259 -8 b(able)33 b(4.)1841 5953 y(53)p eop
17260 %%Page: 54 60
17261 54 59 bop 610 34 a Fw(T)-8 b(able)32 b(4:)43 b(Gauge)32
17262 b(b)s(oson)h(and)g(other)f(fundamen)m(tal)g(b)s(oson)h(co)s(des.)p
17263 793 160 2195 4 v 791 281 4 121 v 843 248 a(KF)p 1030
17264 281 V 99 w(Name)p 1376 281 V 119 w(Prin)m(ted)p 1835
17265 281 V 1852 281 V 137 w(KF)p 2091 281 V 99 w(Name)p 2437
17266 281 V 164 w(Prin)m(ted)p 2983 281 V 793 284 2195 4 v
17267 791 404 4 121 v 864 372 a(21)p 1030 404 V 218 w(g)p 1376
17268 404 V 353 w Fq(g)p 1835 404 V 1852 404 V 291 w Fw(31)p
17269 2091 404 V 2437 404 V 2983 404 V 791 525 V 864 492 a(22)p
17270 1030 525 V 215 w Fj(\015)p 1376 525 V 251 w Fq(gamma)p
17271 1835 525 V 1852 525 V 190 w Fw(32)p 2091 525 V 184 w(Z)2266
17272 456 y Fk(0)p Fl(0)p 2437 525 V 2635 492 a Fq(Z'0)p 2983
17273 525 V 791 645 V 864 613 a Fw(23)p 1030 645 V 193 w(Z)1215
17274 576 y Fl(0)p 1376 645 V 1556 613 a Fq(Z0)p 1835 645 V
17275 1852 645 V 266 w Fw(33)p 2091 645 V 175 w(Z)2257 576
17276 y Fk(00)p Fl(0)p 2437 645 V 2635 613 a Fq(Z"0)p 2983
17277 645 V 791 765 V 864 733 a Fw(24)p 1030 765 V 163 w(W)1226
17278 697 y Fl(+)p 1376 765 V 1556 733 a Fq(W+)p 1835 765 V
17279 1852 765 V 266 w Fw(34)p 2091 765 V 153 w(W)2276 697
17280 y Fk(0)p Fl(+)p 2437 765 V 2635 733 a Fq(W'+)p 2983 765
17281 V 791 886 V 864 853 a Fw(25)p 1030 886 V 187 w(H)1222
17282 817 y Fl(0)p 1376 886 V 1556 853 a Fq(H0)p 1835 886 V
17283 1852 886 V 266 w Fw(35)p 2091 886 V 178 w(H)2273 817
17284 y Fk(0)p Fl(0)p 2437 886 V 2635 853 a Fq(H'0)p 2983 886
17285 V 791 1006 V 864 974 a Fw(26)p 1030 1006 V 1376 1006
17286 V 1835 1006 V 1852 1006 V 962 w(36)p 2091 1006 V 187
17287 w(A)2282 938 y Fl(0)p 2437 1006 V 2661 974 a Fq(A0)p
17288 2983 1006 V 791 1127 V 864 1094 a Fw(27)p 1030 1127 V
17289 1376 1127 V 1835 1127 V 1852 1127 V 962 w(37)p 2091 1127
17290 V 177 w(H)2272 1058 y Fl(+)p 2437 1127 V 2661 1094 a
17291 Fq(H+)p 2983 1127 V 791 1247 V 864 1214 a Fw(28)p 1030
17292 1247 V 198 w(I)-17 b(R)p 1376 1247 V 178 w Fq(reggeon)p
17293 1835 1247 V 1852 1247 V 139 w Fw(38)p 2091 1247 V 124
17294 w Fj(\021)2194 1229 y Fl(tec)n(hni)p 2437 1247 V 2488
17295 1214 a Fq(eta)p 2647 1214 31 4 v 38 w(tech0)p 2983 1247
17296 4 121 v 791 1367 V 864 1335 a Fw(29)p 1030 1367 V 200
17297 w(I)g(P)p 1376 1367 V 182 w Fq(pomeron)p 1835 1367 V
17298 1852 1367 V 139 w Fw(39)p 2091 1367 V 183 w(L)2266 1350
17299 y Fl(Q)p 2437 1367 V 2661 1335 a Fq(LQ)p 2983 1367 V
17300 791 1488 V 864 1455 a Fw(30)p 1030 1488 V 1376 1488 V
17301 1835 1488 V 1852 1488 V 962 w(40)p 2091 1488 V 188 w(R)2282
17302 1419 y Fl(0)p 2437 1488 V 2661 1455 a Fq(R0)p 2983 1488
17303 V 793 1491 2195 4 v 244 1747 a Fw(This)34 b(group)f(includes)h(all)e
17304 (the)i(gauge)g(and)g(Higgs)f(b)s(osons)h(of)f(the)h(standard)h(mo)s
17305 (del,)d(as)i(w)m(ell)244 1855 y(as)44 b(some)h(of)e(the)i(b)s(osons)g
17306 (app)s(earing)e(in)h(v)-5 b(arious)43 b(extensions)j(of)e(it.)78
17307 b(The)45 b(latter)e(are)i(not)244 1963 y(co)m(v)m(ered)e(b)m(y)f(the)g
17308 (standard)f(PDG)g(co)s(des.)70 b(They)42 b(corresp)s(ond)g(to)f(one)h
17309 (extra)f Fo(U\(1\))g Fw(group)244 2072 y(and)35 b(one)h(extra)g
17310 Fo(SU\(2\))e Fw(one,)j(a)e(further)g(Higgs)g(doublet,)h(a)f(\(scalar,)g
17311 (colour)f(o)s(ctet\))i(tec)m(hni-)244 2180 y Fj(\021)t
17312 Fw(,)48 b(a)d(\(scalar\))g(lepto)s(quark)g(L)1395 2195
17313 y Fl(Q)1454 2180 y Fw(,)j(and)e(a)f(horizon)m(tal)e(gauge)i(b)s(oson)h
17314 (R)f(\(coupling)e(b)s(et)m(w)m(een)244 2288 y(families\).)k
17315 (Additionally)-8 b(,)33 b(w)m(e)j(here)g(include)e(the)i(p)s(omeron)e
17316 (I)-17 b(P)36 b(and)f(reggeon)g(I)-17 b(R)35 b(`particles',)244
17317 2397 y(whic)m(h)41 b(are)f(imp)s(ortan)m(t)e(e.g.)67
17318 b(in)39 b(the)i(description)f(of)g(di\013ractiv)m(e)f(scattering,)j
17319 (but)f(ha)m(v)m(e)h(no)244 2505 y(ob)m(vious)33 b(p)s(osition)d(an)m
17320 (ywhere)35 b(in)d(the)h(classi\014cation)e(sc)m(heme.)119
17321 2623 y(3.)49 b(F)-8 b(ree)33 b(space.)244 2731 y(The)42
17322 b(p)s(ositions)d(41{80)h(are)h(curren)m(tly)h(un)m(used.)70
17323 b(In)42 b(the)f(future,)j(they)d(migh)m(t)f(come)h(to)f(b)s(e)244
17324 2839 y(used,)46 b(e.g.)75 b(for)42 b(sup)s(ersymmetric)h(partners)g(of)
17325 g(the)g(particles)f(ab)s(o)m(v)m(e,)k(or)c(for)h(some)f(other)244
17326 2948 y(kind)32 b(of)g(new)i(ph)m(ysics.)45 b(A)m(t)33
17327 b(the)g(momen)m(t,)f(they)h(are)g(at)f(y)m(our)h(disp)s(osal.)119
17328 3066 y(4.)49 b(V)-8 b(arious)32 b(sp)s(ecial)f(co)s(des,)j(T)-8
17329 b(able)32 b(5.)244 3174 y(In)38 b(a)g(Mon)m(te)h(Carlo,)g(it)e(is)h
17330 (alw)m(a)m(ys)h(necessary)h(to)e(ha)m(v)m(e)i(co)s(des)f(that)f(do)g
17331 (not)g(corresp)s(ond)h(to)244 3282 y(an)m(y)f(sp)s(eci\014c)g
17332 (particle,)f(but)g(are)h(used)g(to)f(lump)f(together)h(groups)h(of)f
17333 (similar)d(particles)i(for)244 3391 y(deca)m(y)41 b(treatmen)m(t,)h(or)
17334 e(to)f(sp)s(ecify)i(generic)f(deca)m(y)h(pro)s(ducts.)67
17335 b(These)42 b(co)s(des,)g(whic)m(h)f(again)244 3499 y(are)31
17336 b(non-standard,)g(are)g(found)g(b)s(et)m(w)m(een)i(n)m(um)m(b)s(ers)f
17337 (81)e(and)h(100.)42 b(Sev)m(eral)32 b(are)f(not)f(found)h(in)244
17338 3607 y(the)i(ev)m(en)m(t)h(record,)f(and)g(therefore)g(prop)s(erly)g(b)
17339 s(elong)e(only)h(to)g(the)h(K)m(C)h(group)e(of)g(co)s(des.)119
17340 3725 y(5.)49 b(Diquark)32 b(co)s(des,)h(T)-8 b(able)33
17341 b(6.)244 3833 y(A)j(diquark)g(made)g(up)g(of)g(a)g(quark)g(with)g(co)s
17342 (de)h Fj(i)f Fw(and)g(another)g(with)g(co)s(de)g Fj(j)6
17343 b Fw(,)37 b(where)g Fj(i)d Fn(\025)g Fj(j)6 b Fw(,)244
17344 3942 y(and)33 b(with)f(total)f(spin)h Fj(s)p Fw(,)h(is)f(giv)m(en)h
17345 (the)g(co)s(de)1384 4124 y(KF)27 b(=)h(1000)p Fj(i)21
17346 b Fw(+)h(100)p Fj(j)28 b Fw(+)22 b(2)p Fj(s)g Fw(+)g(1)32
17347 b Fj(;)967 b Fw(\(16\))244 4306 y(i.e.)51 b(the)36 b(tens)g(p)s
17348 (osition)d(is)i(left)g(empt)m(y)g(\(cf.)52 b(the)36 b(bary)m(on)g(co)s
17349 (de)f(b)s(elo)m(w\).)52 b(Some)35 b(of)f(the)i(most)244
17350 4414 y(frequen)m(tly)47 b(used)g(co)s(des)g(are)f(listed)f(in)g(the)h
17351 (table.)83 b(All)44 b(the)j(lo)m(w)m(est-lying)d(spin)i(0)g(and)g(1)244
17352 4522 y(diquarks)33 b(are)g(included)f(in)g(the)h(program.)244
17353 4636 y(The)g(corresp)s(onding)g(K)m(C)g(co)s(de)g(is)f(90,)g(and)h(it)e
17354 (is)h(mainly)f(used)j(to)e(store)h(colour)f(c)m(harge.)119
17355 4753 y(6.)49 b(Meson)34 b(co)s(des,)f(T)-8 b(ables)33
17356 b(7)f(and)h(8.)244 4862 y(A)38 b(meson)h(made)f(up)g(of)g(a)g(quark)i
17357 (with)e(co)s(de)g Fj(i)h Fw(and)f(an)h(an)m(tiquark)f(with)g(co)s(de)h
17358 Fn(\000)p Fj(j)6 b Fw(,)40 b Fj(j)k Fn(6)p Fw(=)37 b
17359 Fj(i)p Fw(,)244 4970 y(and)c(with)f(total)f(spin)h Fj(s)p
17360 Fw(,)h(is)f(giv)m(en)h(the)g(co)s(de)467 5162 y(KF)27
17361 b(=)g Fn(f)p Fw(100)17 b(max)o(\()p Fj(i;)g(j)6 b Fw(\))22
17362 b(+)g(10)17 b(min)m(\()p Fj(i;)g(j)6 b Fw(\))22 b(+)g(2)p
17363 Fj(s)g Fw(+)g(1)p Fn(g)33 b Fw(sign\()p Fj(i)22 b Fn(\000)h
17364 Fj(j)6 b Fw(\))17 b(\()p Fn(\000)p Fw(1\))3058 5121 y
17365 Fl(max)o(\()p Fh(i;j)t Fl(\))3356 5162 y Fj(:)223 b Fw(\(17\))244
17366 5344 y(Note)24 b(the)h(presence)h(of)e(an)g(extra)g Fn(\000)h
17367 Fw(sign)e(if)g(the)i(hea)m(viest)g(quark)g(is)e(a)h(do)m(wn-t)m(yp)s(e)
17368 i(one.)41 b(This)24 b(is)244 5453 y(in)29 b(accordance)i(with)e(the)i
17369 (particle{an)m(tiparticle)26 b(distinction)i(adopted)j(in)e(the)h(1986)
17370 f(Review)244 5561 y(of)j(P)m(article)g(Prop)s(erties)i([PDG86)o(].)44
17371 b(It)33 b(means)g(for)g(example)f(that)h(a)g(B)g(meson)g(con)m(tains)g
17372 (a)p 3725 5482 55 4 v 32 w(b)244 5669 y(an)m(tiquark)g(rather)f(than)h
17373 (a)f(b)h(quark.)1841 5953 y(54)p eop
17374 %%Page: 55 61
17375 55 60 bop 1210 34 a Fw(T)-8 b(able)32 b(5:)44 b(V)-8
17376 b(arious)31 b(sp)s(ecial)h(co)s(des.)p 360 160 3059 4
17377 v 358 281 4 121 v 414 248 a(KF)p 605 281 V 148 w(Prin)m(ted)p
17378 1114 281 V 1064 w(Meaning)p 3416 281 V 360 284 3059 4
17379 v 358 404 4 121 v 435 372 a(81)p 605 404 V 123 w Fq(specflav)p
17380 1114 404 V 171 w Fw(Sp)s(ectator)h(\015a)m(v)m(our;)g(used)h(in)e(deca)
17381 m(y-pro)s(duct)h(listings)p 3416 404 V 358 525 V 435
17382 492 a(82)p 605 525 V 123 w Fq(rndmflav)p 1114 525 V 102
17383 w Fw(A)f(random)g(u,)h(d,)g(or)f(s)h(\015a)m(v)m(our;)h(p)s(ossible)d
17384 (deca)m(y)j(pro)s(duct)p 3416 525 V 358 645 V 435 613
17385 a(83)p 605 645 V 123 w Fq(phasespa)p 1114 645 V 460 w
17386 Fw(Simple)c(isotropic)h(phase-space)k(deca)m(y)p 3416
17387 645 V 358 765 V 435 733 a(84)p 605 765 V 123 w Fq(c-hadron)p
17388 1114 765 V 214 w Fw(Information)30 b(on)j(deca)m(y)h(of)e(generic)g(c)m
17389 (harm)h(hadron)p 3416 765 V 358 886 V 435 853 a(85)p
17390 605 886 V 123 w Fq(b-hadron)p 1114 886 V 189 w Fw(Information)e(on)h
17391 (deca)m(y)i(of)e(generic)h(b)s(ottom)e(hadron)p 3416
17392 886 V 358 1006 V 435 974 a(86)p 605 1006 V 123 w Fq(t-hadron)p
17393 1114 1006 V 275 w Fw(Information)f(on)j(deca)m(y)h(of)e(generic)g(top)h
17394 (hadron)p 3416 1006 V 358 1127 V 435 1094 a(87)p 605
17395 1127 V 123 w Fq(l-hadron)p 1114 1127 V 273 w Fw(Information)e(on)h
17396 (deca)m(y)i(of)e(generic)h(lo)m(w)f(hadron)p 3416 1127
17397 V 358 1247 V 435 1214 a(88)p 605 1247 V 123 w Fq(h-hadron)p
17398 1114 1247 V 253 w Fw(Information)f(on)h(deca)m(y)i(of)e(generic)h(high)
17399 e(hadron)p 3416 1247 V 358 1367 V 435 1335 a(89)p 605
17400 1367 V 200 w Fq(Wvirt)p 1114 1367 V 283 w Fw(O\013-mass-shell)g(W)j(in)
17401 e(w)m(eak)i(deca)m(ys)g(of)e(t,)h(l,)e(h)i(or)f Fj(\037)p
17402 3416 1367 V 358 1488 V 435 1455 a Fw(90)p 605 1488 V
17403 149 w Fq(diquark)p 1114 1488 V 289 w Fw(Generic)g(co)s(de)h(for)f
17404 (diquark)h(colour)e(information)p 3416 1488 V 358 1608
17405 V 435 1576 a(91)p 605 1608 V 149 w Fq(cluster)p 1114
17406 1608 V 392 w Fw(P)m(arton)i(system)g(in)f(cluster)h(fragmen)m(tation)p
17407 3416 1608 V 358 1728 V 435 1696 a(92)p 605 1728 V 174
17408 w Fq(string)p 1114 1728 V 437 w Fw(P)m(arton)f(system)i(in)e(string)g
17409 (fragmen)m(tation)p 3416 1728 V 358 1849 V 435 1816 a(93)p
17410 605 1849 V 174 w Fq(indep.)p 1114 1849 V 299 w Fw(P)m(arton)h(system)g
17411 (in)f(indep)s(enden)m(t)i(fragmen)m(tation)p 3416 1849
17412 V 358 1969 V 435 1937 a(94)p 605 1969 V 123 w Fq(CMshower)p
17413 1114 1969 V 205 w Fw(F)-8 b(our-momen)m(tum)31 b(of)h(time-lik)m(e)e
17414 (sho)m(w)m(ering)j(system)p 3416 1969 V 358 2090 V 435
17415 2057 a(95)p 605 2090 V 123 w Fq(SPHEaxis)p 1114 2090
17416 V 562 w Fw(Ev)m(en)m(t)h(axis)e(found)h(with)f Fq(LUSPHE)p
17417 3416 2090 V 358 2210 V 435 2177 a Fw(96)p 605 2210 V
17418 123 w Fq(THRUaxis)p 1114 2210 V 562 w Fw(Ev)m(en)m(t)i(axis)e(found)h
17419 (with)f Fq(LUTHRU)p 3416 2210 V 358 2330 V 435 2298 a
17420 Fw(97)p 605 2330 V 149 w Fq(CLUSjet)p 1114 2330 V 549
17421 w Fw(Jet)h(\(cluster\))f(found)h(with)f Fq(LUCLUS)p 3416
17422 2330 V 358 2451 V 435 2418 a Fw(98)p 605 2451 V 149 w
17423 Fq(CELLjet)p 1114 2451 V 549 w Fw(Jet)h(\(cluster\))f(found)h(with)f
17424 Fq(LUCELL)p 3416 2451 V 358 2571 V 435 2539 a Fw(99)p
17425 605 2571 V 200 w Fq(table)p 1114 2571 V 667 w Fw(T)-8
17426 b(abular)32 b(output)h(from)e Fq(LUTABU)p 3416 2571 V
17427 358 2692 V 410 2659 a Fw(100)p 605 2692 V 1114 2692 V
17428 3416 2692 V 360 2695 3059 4 v 244 2965 a(The)i(\015a)m(v)m
17429 (our-diagonal)e(states)i(are)g(arranged)f(in)g(order)g(of)g(ascending)h
17430 (mass.)44 b(The)33 b(standard)244 3074 y(rule)41 b(of)h(ha)m(ving)f
17431 (the)h(last)g(digit)d(of)j(the)g(form)f(2)p Fj(s)28 b
17432 Fw(+)g(1)42 b(is)f(brok)m(en)i(for)e(the)i(K)3204 3037
17433 y Fl(0)3204 3098 y(S)3247 3074 y Fw({K)3372 3037 y Fl(0)3372
17434 3098 y(L)3461 3074 y Fw(system,)244 3182 y(where)32 b(it)e(is)h(0,)g
17435 (and)g(this)g(con)m(v)m(en)m(tion)h(should)f(carry)g(o)m(v)m(er)i(to)d
17436 (mixed)h(states)h(in)e(the)h(B)g(meson)244 3290 y(system.)44
17437 b(F)-8 b(or)30 b(higher)h(m)m(ultiplets)e(with)h(the)i(same)f(spin,)g
17438 Fn(\006)p Fw(10000,)g Fn(\006)p Fw(20000,)g(etc.,)h(are)f(added)244
17439 3399 y(to)d(pro)m(vide)h(the)f(extra)h(distinction)e(needed.)44
17440 b(Some)28 b(of)g(the)g(most)g(frequen)m(tly)i(used)f(co)s(des)g(are)244
17441 3507 y(giv)m(en)k(b)s(elo)m(w.)244 3620 y(The)24 b(full)e(lo)m(w)m
17442 (est-lying)g(pseudoscalar)i(and)g(v)m(ector)g(m)m(ultiplets)e(are)h
17443 (included)g(in)g(the)h(program,)244 3728 y(T)-8 b(able)32
17444 b(7.)244 3841 y(Also)22 b(the)h(lo)m(w)m(est-lying)f(orbital)f(angular)
17445 g(momen)m(tum)g Fj(L)28 b Fw(=)g(1)23 b(mesons)g(are)g(included,)h(T)-8
17446 b(able)23 b(8:)244 3950 y(one)32 b(pseudo)m(v)m(ector)j(m)m(ultiplet)30
17447 b(obtained)h(for)h(total)e(quark-spin)j(0)f(\()p Fj(L)c
17448 Fw(=)f(1)p Fj(;)17 b(S)33 b Fw(=)28 b(0)f Fn(\))g Fj(J)37
17449 b Fw(=)28 b(1\))244 4058 y(and)h(one)h(scalar,)f(one)g(pseudo)m(v)m
17450 (ector)j(and)d(one)h(tensor)g(m)m(ultiplet)c(obtained)j(for)f(total)g
17451 (quark-)244 4166 y(spin)33 b(1)g(\()p Fj(L)c Fw(=)f(1)p
17452 Fj(;)17 b(S)34 b Fw(=)28 b(1)h Fn(\))f Fj(J)38 b Fw(=)28
17453 b(0)p Fj(;)17 b Fw(1)32 b(or)h(2\),)g(where)i Fj(J)42
17454 b Fw(is)32 b(what)i(is)e(con)m(v)m(en)m(tionally)h(called)f(the)244
17455 4275 y(spin)39 b Fj(s)f Fw(of)h(the)g(meson.)63 b(An)m(y)39
17456 b(mixing)e(b)s(et)m(w)m(een)k(the)e(t)m(w)m(o)h(pseudo)m(v)m(ector)h(m)
17457 m(ultiplets)c(is)i(not)1356 4612 y(T)-8 b(able)33 b(6:)43
17458 b(Diquark)32 b(co)s(des.)p 822 4738 2137 4 v 820 4859
17459 4 121 v 899 4826 a(KF)p 1115 4859 V 127 w(Name)p 1461
17460 4859 V 99 w(Prin)m(ted)p 1879 4859 V 1896 4859 V 145
17461 w(KF)p 2190 4859 V 127 w(Name)p 2536 4859 V 99 w(Prin)m(ted)p
17462 2954 4859 V 822 4862 2137 4 v 820 4983 4 121 v 1115 4983
17463 V 1461 4983 V 1879 4983 V 1896 4983 V 1947 4950 a(1103)p
17464 2190 4983 V 148 w(dd)2399 4965 y Fl(1)p 2536 4983 V 2652
17465 4950 a Fq(dd)p 2760 4950 31 4 v 37 w(1)p 2954 4983 4
17466 121 v 820 5103 V 872 5070 a Fw(2101)p 1115 5103 V 148
17467 w(ud)1324 5085 y Fl(0)p 1461 5103 V 1576 5070 a Fq(ud)p
17468 1684 5070 31 4 v 38 w(0)p 1879 5103 4 121 v 1896 5103
17469 V 180 w Fw(2103)p 2190 5103 V 148 w(ud)2399 5085 y Fl(1)p
17470 2536 5103 V 2652 5070 a Fq(ud)p 2760 5070 31 4 v 37 w(1)p
17471 2954 5103 4 121 v 820 5223 V 1115 5223 V 1461 5223 V
17472 1879 5223 V 1896 5223 V 1947 5191 a Fw(2203)p 2190 5223
17473 V 148 w(uu)2399 5206 y Fl(1)p 2536 5223 V 2652 5191 a
17474 Fq(uu)p 2760 5191 31 4 v 37 w(1)p 2954 5223 4 121 v 820
17475 5344 V 872 5311 a Fw(3101)p 1115 5344 V 155 w(sd)1315
17476 5326 y Fl(0)p 1461 5344 V 1576 5311 a Fq(sd)p 1684 5311
17477 31 4 v 38 w(0)p 1879 5344 4 121 v 1896 5344 V 180 w Fw(3103)p
17478 2190 5344 V 156 w(sd)2391 5326 y Fl(1)p 2536 5344 V 2652
17479 5311 a Fq(sd)p 2760 5311 31 4 v 37 w(1)p 2954 5344 4
17480 121 v 820 5464 V 872 5432 a Fw(3201)p 1115 5464 V 155
17481 w(su)1315 5447 y Fl(0)p 1461 5464 V 1576 5432 a Fq(su)p
17482 1684 5432 31 4 v 38 w(0)p 1879 5464 4 121 v 1896 5464
17483 V 180 w Fw(3203)p 2190 5464 V 156 w(su)2391 5447 y Fl(1)p
17484 2536 5464 V 2652 5432 a Fq(su)p 2760 5432 31 4 v 37 w(1)p
17485 2954 5464 4 121 v 820 5584 V 1115 5584 V 1461 5584 V
17486 1879 5584 V 1896 5584 V 1947 5552 a Fw(3303)p 2190 5584
17487 V 164 w(ss)2383 5567 y Fl(1)p 2536 5584 V 2652 5552 a
17488 Fq(ss)p 2760 5552 31 4 v 37 w(1)p 2954 5584 4 121 v 822
17489 5588 2137 4 v 1841 5953 a Fw(55)p eop
17490 %%Page: 56 62
17491 56 61 bop 1232 34 a Fw(T)-8 b(able)32 b(7:)44 b(Meson)33
17492 b(co)s(des,)h(part)e(1.)p 850 160 2080 4 v 848 281 4
17493 121 v 903 248 a(KF)p 1095 281 V 103 w(Name)p 1441 281
17494 V 99 w(Prin)m(ted)p 1859 281 V 1876 281 V 120 w(KF)p
17495 2121 281 V 103 w(Name)p 2467 281 V 119 w(Prin)m(ted)p
17496 2926 281 V 850 284 2080 4 v 848 404 4 121 v 900 372 a(211)p
17497 1095 404 V 163 w Fj(\031)1269 336 y Fl(+)p 1441 404 V
17498 1574 372 a Fq(pi+)p 1859 404 V 1876 404 V 200 w Fw(213)p
17499 2121 404 V 167 w Fj(\032)2291 336 y Fl(+)p 2467 404 V
17500 2596 372 a Fq(rho+)p 2926 404 V 848 525 V 900 492 a Fw(311)p
17501 1095 525 V 165 w(K)1288 456 y Fl(0)p 1441 525 V 1600
17502 492 a Fq(K0)p 1859 525 V 1876 525 V 225 w Fw(313)p 2121
17503 525 V 147 w(K)2297 456 y Fk(\003)p Fl(0)p 2467 525 V
17504 2621 492 a Fq(K*0)p 2926 525 V 848 645 V 900 613 a Fw(321)p
17505 1095 645 V 155 w(K)1278 576 y Fl(+)p 1441 645 V 1600
17506 613 a Fq(K+)p 1859 645 V 1876 645 V 225 w Fw(323)p 2121
17507 645 V 137 w(K)2287 576 y Fk(\003)p Fl(+)p 2467 645 V
17508 2621 613 a Fq(K*+)p 2926 645 V 848 765 V 900 733 a Fw(411)p
17509 1095 765 V 156 w(D)1278 697 y Fl(+)p 1441 765 V 1600
17510 733 a Fq(D+)p 1859 765 V 1876 765 V 225 w Fw(413)p 2121
17511 765 V 138 w(D)2287 697 y Fk(\003)p Fl(+)p 2467 765 V
17512 2621 733 a Fq(D*+)p 2926 765 V 848 886 V 900 853 a Fw(421)p
17513 1095 886 V 165 w(D)1287 817 y Fl(0)p 1441 886 V 1600
17514 853 a Fq(D0)p 1859 886 V 1876 886 V 225 w Fw(423)p 2121
17515 886 V 147 w(D)2296 817 y Fk(\003)p Fl(0)p 2467 886 V
17516 2621 853 a Fq(D*0)p 2926 886 V 848 1006 V 900 974 a Fw(431)p
17517 1095 1006 V 156 w(D)1278 938 y Fl(+)1278 998 y Fh(s)p
17518 1441 1006 V 1556 974 a Fq(D)p 1613 974 31 4 v 37 w(s+)p
17519 1859 1006 4 121 v 1876 1006 V 181 w Fw(433)p 2121 1006
17520 V 138 w(D)2287 938 y Fk(\003)p Fl(+)2287 998 y(s)p 2467
17521 1006 V 2577 974 a Fq(D*)p 2685 974 31 4 v 38 w(s+)p 2926
17522 1006 4 121 v 848 1127 V 900 1094 a Fw(511)p 1095 1127
17523 V 168 w(B)1284 1058 y Fl(0)p 1441 1127 V 1600 1094 a
17524 Fq(B0)p 1859 1127 V 1876 1127 V 225 w Fw(513)p 2121 1127
17525 V 150 w(B)2293 1058 y Fk(\003)p Fl(0)p 2467 1127 V 2621
17526 1094 a Fq(B*0)p 2926 1127 V 848 1247 V 900 1214 a Fw(521)p
17527 1095 1247 V 158 w(B)1274 1178 y Fl(+)p 1441 1247 V 1600
17528 1214 a Fq(B+)p 1859 1247 V 1876 1247 V 225 w Fw(523)p
17529 2121 1247 V 140 w(B)2283 1178 y Fk(\003)p Fl(+)p 2467
17530 1247 V 2621 1214 a Fq(B*+)p 2926 1247 V 848 1367 V 900
17531 1335 a Fw(531)p 1095 1367 V 168 w(B)1284 1299 y Fl(0)1284
17532 1359 y Fh(s)p 1441 1367 V 1556 1335 a Fq(B)p 1613 1335
17533 31 4 v 37 w(s0)p 1859 1367 4 121 v 1876 1367 V 181 w
17534 Fw(533)p 2121 1367 V 150 w(B)2293 1299 y Fk(\003)p Fl(0)2293
17535 1359 y(s)p 2467 1367 V 2577 1335 a Fq(B*)p 2685 1335
17536 31 4 v 38 w(s0)p 2926 1367 4 121 v 848 1488 V 900 1455
17537 a Fw(541)p 1095 1488 V 158 w(B)1274 1419 y Fl(+)1274
17538 1480 y Fh(c)p 1441 1488 V 1556 1455 a Fq(B)p 1613 1455
17539 31 4 v 37 w(c+)p 1859 1488 4 121 v 1876 1488 V 181 w
17540 Fw(543)p 2121 1488 V 140 w(B)2283 1419 y Fk(\003)p Fl(+)2283
17541 1480 y(c)p 2467 1488 V 2577 1455 a Fq(B*)p 2685 1455
17542 31 4 v 38 w(c+)p 2926 1488 4 121 v 848 1608 V 900 1576
17543 a Fw(111)p 1095 1608 V 173 w Fj(\031)1279 1539 y Fl(0)p
17544 1441 1608 V 1574 1576 a Fq(pi0)p 1859 1608 V 1876 1608
17545 V 200 w Fw(113)p 2121 1608 V 177 w Fj(\032)2301 1539
17546 y Fl(0)p 2467 1608 V 2596 1576 a Fq(rho0)p 2926 1608
17547 V 848 1728 V 900 1696 a Fw(221)p 1095 1728 V 196 w Fj(\021)p
17548 1441 1728 V 283 w Fq(eta)p 1859 1728 V 1876 1728 V 200
17549 w Fw(223)p 2121 1728 V 190 w Fj(!)p 2467 1728 V 245 w
17550 Fq(omega)p 2926 1728 V 848 1849 V 900 1816 a Fw(331)p
17551 1095 1849 V 185 w Fj(\021)1284 1780 y Fk(0)p 1441 1849
17552 V 1549 1816 a Fq(eta')p 1859 1849 V 1876 1849 V 174 w
17553 Fw(333)p 2121 1849 V 193 w Fj(\036)p 2467 1849 V 296
17554 w Fq(phi)p 2926 1849 V 848 1969 V 900 1937 a Fw(441)p
17555 1095 1969 V 180 w Fj(\021)1275 1952 y Fl(c)p 1441 1969
17556 V 1530 1937 a Fq(eta)p 1689 1937 31 4 v 38 w(c)p 1859
17557 1969 4 121 v 1876 1969 V 155 w Fw(443)p 2121 1969 V 139
17558 w(J)p Fj(= )p 2467 1969 V 195 w Fq(J/psi)p 2926 1969
17559 V 848 2090 V 900 2057 a Fw(551)p 1095 2090 V 177 w Fj(\021)1272
17560 2072 y Fl(b)p 1441 2090 V 1530 2057 a Fq(eta)p 1689 2057
17561 31 4 v 38 w(b)p 1859 2090 4 121 v 1876 2090 V 155 w Fw(553)p
17562 2121 2090 V 184 w(\007)p 2467 2090 V 185 w Fq(Upsilon)p
17563 2926 2090 V 848 2210 V 900 2177 a Fw(661)p 1095 2210
17564 V 182 w Fj(\021)1277 2192 y Fl(t)p 1441 2210 V 1530 2177
17565 a Fq(eta)p 1689 2177 31 4 v 38 w(t)p 1859 2210 4 121
17566 v 1876 2210 V 155 w Fw(663)p 2121 2210 V 184 w(\002)p
17567 2467 2210 V 236 w Fq(Theta)p 2926 2210 V 848 2330 V 900
17568 2298 a Fw(130)p 1095 2330 V 160 w(K)1283 2262 y Fl(0)1283
17569 2322 y(L)p 1441 2330 V 1556 2298 a Fq(K)p 1613 2298 31
17570 4 v 37 w(L0)p 1859 2330 4 121 v 1876 2330 V 2121 2330
17571 V 2467 2330 V 2926 2330 V 848 2451 V 900 2418 a Fw(310)p
17572 1095 2451 V 163 w(K)1286 2382 y Fl(0)1286 2443 y(S)p
17573 1441 2451 V 1556 2418 a Fq(K)p 1613 2418 31 4 v 37 w(S0)p
17574 1859 2451 4 121 v 1876 2451 V 2121 2451 V 2467 2451 V
17575 2926 2451 V 850 2454 2080 4 v 244 2724 a Fw(tak)m(en)40
17576 b(in)m(to)e(accoun)m(t.)63 b(Please)39 b(note)g(that)f(some)h(mem)m(b)s
17577 (ers)g(of)f(these)i(m)m(ultiplets)d(ha)m(v)m(e)j(still)244
17578 2833 y(not)e(b)s(een)h(found,)h(and)e(are)g(included)g(here)h(only)f
17579 (based)h(on)f(guessw)m(ork.)63 b(Ev)m(en)39 b(for)f(kno)m(wn)244
17580 2941 y(ones,)31 b(the)f(information)c(on)k(particles)f(\(mass,)h
17581 (width,)g(deca)m(y)h(mo)s(des\))e(is)g(highly)g(incomplete.)244
17582 3054 y(Only)j(t)m(w)m(o)h(radial)e(excitations)h(are)g(included,)h(the)
17583 g Fj( )2252 3018 y Fk(0)2303 3054 y Fw(=)27 b Fj( )t
17584 Fw(\(2)p Fj(S)6 b Fw(\))32 b(and)h(\007)2962 3018 y Fk(0)3013
17585 3054 y Fw(=)27 b(\007\(2)p Fj(S)6 b Fw(\).)244 3167 y(The)26
17586 b(corresp)s(onding)g(meson)f(K)m(C)h(co)s(des,)i(used)f(for)e
17587 (organizing)e(mass)i(and)h(deca)m(y)h(data,)f(range)244
17588 3276 y(b)s(et)m(w)m(een)35 b(101)c(and)i(240.)119 3393
17589 y(7.)49 b(Bary)m(on)33 b(co)s(des,)g(T)-8 b(able)33 b(9.)244
17590 3502 y(A)i(bary)m(on)h(made)f(up)h(of)e(quarks)j Fj(i)p
17591 Fw(,)f Fj(j)41 b Fw(and)36 b Fj(k)s Fw(,)g(with)f Fj(i)d
17592 Fn(\025)h Fj(j)38 b Fn(\025)33 b Fj(k)s Fw(,)j(and)g(total)d(spin)j
17593 Fj(s)p Fw(,)g(is)e(giv)m(en)244 3610 y(the)f(co)s(de)1248
17594 3718 y(KF)28 b(=)f(1000)p Fj(i)22 b Fw(+)g(100)p Fj(j)27
17595 b Fw(+)22 b(10)p Fj(k)j Fw(+)d(2)p Fj(s)g Fw(+)g(1)32
17596 b Fj(:)831 b Fw(\(18\))244 3881 y(An)38 b(exception)g(is)g(pro)m(vided)
17597 g(b)m(y)h(spin)e(1)p Fj(=)p Fw(2)h(bary)m(ons)g(made)g(up)g(of)f(three)
17598 i(di\013eren)m(t)f(t)m(yp)s(es)h(of)244 3989 y(quarks,)33
17599 b(where)g(the)f(t)m(w)m(o)g(ligh)m(test)f(quarks)i(form)d(a)h(spin-0)g
17600 (diquark)h(\(\003-lik)m(e)e(bary)m(ons\).)44 b(Here)244
17601 4097 y(the)g(order)g(of)f(the)h Fj(j)50 b Fw(and)43 b
17602 Fj(k)k Fw(quarks)e(is)e(rev)m(ersed,)49 b(so)44 b(as)g(to)f(pro)m(vide)
17603 h(a)f(simple)f(means)i(of)244 4206 y(distinction)28 b(to)h(bary)m(ons)i
17604 (with)e(the)h(ligh)m(test)e(quarks)j(in)e(a)g(spin-1)g(diquark)h
17605 (\(\006-lik)m(e)e(bary)m(ons\).)244 4319 y(F)-8 b(or)31
17606 b(hadrons)h(with)f(hea)m(vy)i(\015a)m(v)m(ours,)g(the)f(ro)s(ot)f
17607 (names)g(are)h(Lam)m(b)s(da)e(or)h(Sigma)f(for)h(hadrons)244
17608 4427 y(with)g(t)m(w)m(o)h(u)g(or)f(d)h(quarks,)h(Xi)e(for)g(those)h
17609 (with)f(one,)h(and)g(Omega)e(for)h(those)h(without)f(u)h(or)f(d)244
17610 4536 y(quarks.)244 4649 y(Some)i(of)g(the)i(most)e(frequen)m(tly)i
17611 (used)g(co)s(des)f(are)g(giv)m(en)g(in)f(T)-8 b(able)33
17612 b(9.)47 b(The)35 b(full)d(lo)m(w)m(est-lying)244 4757
17613 y(spin)g(1)p Fj(=)p Fw(2)g(and)h(3)p Fj(=)p Fw(2)f(m)m(ultiplets)e(are)
17614 j(included)f(in)g(the)h(program.)244 4870 y(The)k(corresp)s(onding)g(K)
17615 m(C)g(co)s(des,)i(used)f(for)e(organizing)e(mass)j(and)g(deca)m(y)h
17616 (data,)f(range)g(b)s(e-)244 4978 y(t)m(w)m(een)d(301)e(and)h(400,)f
17617 (with)g(some)g(slots)h(still)d(free.)119 5096 y(8.)49
17618 b(Di\013ractiv)m(e)31 b(states,)j(T)-8 b(able)32 b(10.)244
17619 5204 y(These)37 b(co)s(des)f(are)g(not)f(standard)h(ones:)50
17620 b(they)36 b(ha)m(v)m(e)h(b)s(een)f(de\014ned)h(b)m(y)f(analogy)f(to)g
17621 (b)s(e)g(used)244 5313 y(for)28 b(denoting)h(di\013ractiv)m(e)f(states)
17622 i(in)e Fm(Pythia)p Fw(,)h(as)h(part)e(of)h(the)g(ev)m(en)m(t)i(history)
17623 -8 b(.)42 b(The)29 b(\014rst)h(t)m(w)m(o)244 5421 y(or)h(three)i
17624 (digits)d(giv)m(e)h(\015a)m(v)m(our)i(con)m(ten)m(t,)g(while)e(the)h
17625 (last)f(one)h(is)f(0,)g(to)h(denote)g(the)g(somewhat)244
17626 5530 y(un)m(usual)k(c)m(haracter)g(of)e(the)i(co)s(de.)52
17627 b(Only)35 b(a)g(few)h(co)s(des)g(ha)m(v)m(e)g(b)s(een)g(in)m(tro)s
17628 (duced;)h(dep)s(ending)244 5638 y(on)32 b(circumstances)i(these)g(also)
17629 d(ha)m(v)m(e)j(to)e(double)h(up)g(for)f(other)g(di\013ractiv)m(e)g
17630 (states.)1841 5953 y(56)p eop
17631 %%Page: 57 63
17632 57 62 bop 1232 34 a Fw(T)-8 b(able)32 b(8:)44 b(Meson)33
17633 b(co)s(des,)h(part)e(2.)p 714 160 2352 4 v 712 281 4
17634 121 v 816 248 a(KF)p 1056 281 V 151 w(Name)p 1402 281
17635 V 145 w(Prin)m(ted)p 1912 281 V 1929 281 V 215 w(KF)p
17636 2272 281 V 151 w(Name)p 2618 281 V 113 w(Prin)m(ted)p
17637 3062 281 V 714 284 2352 4 v 712 404 4 121 v 764 372 a(10213)p
17638 1056 404 V 175 w(b)1238 387 y Fl(1)p 1402 404 V 1563
17639 372 a Fq(b)p 1620 372 31 4 v 37 w(1+)p 1912 404 4 121
17640 v 1929 404 V 227 w Fw(10211)p 2272 404 V 168 w(a)2442
17641 331 y Fl(+)2442 394 y(0)p 2618 404 V 2746 372 a Fq(a)p
17642 2803 372 31 4 v 38 w(0+)p 3062 404 4 121 v 712 525 V
17643 764 492 a Fw(10313)p 1056 525 V 164 w(K)1249 456 y Fl(0)1249
17644 517 y(1)p 1402 525 V 1563 492 a Fq(K)p 1620 492 31 4
17645 v 37 w(10)p 1912 525 4 121 v 1929 525 V 227 w Fw(10311)p
17646 2272 525 V 146 w(K)2447 456 y Fk(\003)p Fl(0)2447 517
17647 y(0)p 2618 525 V 2721 492 a Fq(K*)p 2829 492 31 4 v 37
17648 w(00)p 3062 525 4 121 v 712 645 V 764 613 a Fw(10323)p
17649 1056 645 V 154 w(K)1239 571 y Fl(+)1239 634 y(1)p 1402
17650 645 V 1563 613 a Fq(K)p 1620 613 31 4 v 37 w(1+)p 1912
17651 645 4 121 v 1929 645 V 227 w Fw(10321)p 2272 645 V 137
17652 w(K)2438 571 y Fk(\003)p Fl(+)2438 634 y(0)p 2618 645
17653 V 2721 613 a Fq(K*)p 2829 613 31 4 v 37 w(0+)p 3062 645
17654 4 121 v 712 765 V 764 733 a Fw(10413)p 1056 765 V 155
17655 w(D)1239 692 y Fl(+)1239 755 y(1)p 1402 765 V 1563 733
17656 a Fq(D)p 1620 733 31 4 v 37 w(1+)p 1912 765 4 121 v 1929
17657 765 V 227 w Fw(10411)p 2272 765 V 137 w(D)2437 692 y
17658 Fk(\003)p Fl(+)2437 755 y(0)p 2618 765 V 2721 733 a Fq(D*)p
17659 2829 733 31 4 v 37 w(0+)p 3062 765 4 121 v 712 886 V
17660 764 853 a Fw(10423)p 1056 886 V 165 w(D)1249 817 y Fl(0)1249
17661 878 y(1)p 1402 886 V 1563 853 a Fq(D)p 1620 853 31 4
17662 v 37 w(10)p 1912 886 4 121 v 1929 886 V 227 w Fw(10421)p
17663 2272 886 V 147 w(D)2447 817 y Fk(\003)p Fl(0)2447 878
17664 y(0)p 2618 886 V 2721 853 a Fq(D*)p 2829 853 31 4 v 37
17665 w(00)p 3062 886 4 121 v 712 1006 V 764 974 a Fw(10433)p
17666 1056 1006 V 151 w(D)1235 932 y Fl(+)1235 995 y(1s)p 1402
17667 1006 V 1538 974 a Fq(D)p 1595 974 31 4 v 37 w(1s+)p 1912
17668 1006 4 121 v 1929 1006 V 201 w Fw(10431)p 2272 1006 V
17669 137 w(D)2437 932 y Fk(\003)p Fl(+)2437 995 y(0s)p 2618
17670 1006 V 2695 974 a Fq(D*)p 2803 974 31 4 v 38 w(0s+)p
17671 3062 1006 4 121 v 712 1127 V 764 1094 a Fw(10113)p 1056
17672 1127 V 175 w(b)1238 1058 y Fl(0)1238 1119 y(1)p 1402
17673 1127 V 1563 1094 a Fq(b)p 1620 1094 31 4 v 37 w(10)p
17674 1912 1127 4 121 v 1929 1127 V 227 w Fw(10111)p 2272 1127
17675 V 178 w(a)2452 1058 y Fl(0)2452 1119 y(0)p 2618 1127
17676 V 2746 1094 a Fq(a)p 2803 1094 31 4 v 38 w(00)p 3062
17677 1127 4 121 v 712 1247 V 764 1214 a Fw(10223)p 1056 1247
17678 V 175 w(h)1238 1178 y Fl(0)1238 1239 y(1)p 1402 1247
17679 V 1563 1214 a Fq(h)p 1620 1214 31 4 v 37 w(10)p 1912
17680 1247 4 121 v 1929 1247 V 227 w Fw(10221)p 2272 1247 V
17681 184 w(f)2446 1178 y Fl(0)2439 1239 y(0)p 2618 1247 V
17682 2746 1214 a Fq(f)p 2803 1214 31 4 v 38 w(00)p 3062 1247
17683 4 121 v 712 1367 V 764 1335 a Fw(10333)p 1056 1367 V
17684 165 w(h)1228 1299 y Fk(0)p Fl(0)1228 1359 y(1)p 1402
17685 1367 V 1538 1335 a Fq(h')p 1646 1335 31 4 v 37 w(10)p
17686 1912 1367 4 121 v 1929 1367 V 201 w Fw(10331)p 2272 1367
17687 V 174 w(f)2436 1299 y Fk(0)p Fl(0)2429 1359 y(0)p 2618
17688 1367 V 2721 1335 a Fq(f')p 2829 1335 31 4 v 37 w(00)p
17689 3062 1367 4 121 v 712 1488 V 764 1455 a Fw(10443)p 1056
17690 1488 V 159 w(h)1222 1419 y Fl(0)1222 1480 y(1c)p 1402
17691 1488 V 1538 1455 a Fq(h)p 1595 1455 31 4 v 37 w(1c0)p
17692 1912 1488 4 121 v 1929 1488 V 201 w Fw(10441)p 2272 1488
17693 V 156 w Fj(\037)2442 1419 y Fl(0)2442 1480 y(0c)p 2618
17694 1488 V 2670 1455 a Fq(chi)p 2829 1455 31 4 v 37 w(0c0)p
17695 3062 1488 4 121 v 714 1491 2352 4 v 712 1611 4 121 v
17696 764 1579 a Fw(20213)p 1056 1611 V 168 w(a)1226 1538 y
17697 Fl(+)1226 1601 y(1)p 1402 1611 V 1563 1579 a Fq(a)p 1620
17698 1579 31 4 v 37 w(1+)p 1912 1611 4 121 v 1929 1611 V 276
17699 w Fw(215)p 2272 1611 V 217 w(a)2442 1538 y Fl(+)2442
17700 1601 y(2)p 2618 1611 V 2746 1579 a Fq(a)p 2803 1579 31
17701 4 v 38 w(2+)p 3062 1611 4 121 v 712 1732 V 764 1699 a
17702 Fw(20313)p 1056 1732 V 146 w(K)1231 1663 y Fk(\003)p
17703 Fl(0)1231 1724 y(1)p 1402 1732 V 1538 1699 a Fq(K*)p
17704 1646 1699 31 4 v 37 w(10)p 1912 1732 4 121 v 1929 1732
17705 V 250 w Fw(315)p 2272 1732 V 195 w(K)2447 1663 y Fk(\003)p
17706 Fl(0)2447 1724 y(2)p 2618 1732 V 2721 1699 a Fq(K*)p
17707 2829 1699 31 4 v 37 w(20)p 3062 1732 4 121 v 712 1852
17708 V 764 1820 a Fw(20323)p 1056 1852 V 137 w(K)1222 1778
17709 y Fk(\003)p Fl(+)1222 1841 y(1)p 1402 1852 V 1538 1820
17710 a Fq(K*)p 1646 1820 31 4 v 37 w(1+)p 1912 1852 4 121
17711 v 1929 1852 V 250 w Fw(325)p 2272 1852 V 186 w(K)2438
17712 1778 y Fk(\003)p Fl(+)2438 1841 y(2)p 2618 1852 V 2721
17713 1820 a Fq(K*)p 2829 1820 31 4 v 37 w(2+)p 3062 1852 4
17714 121 v 712 1973 V 764 1940 a Fw(20413)p 1056 1973 V 137
17715 w(D)1221 1899 y Fk(\003)p Fl(+)1221 1962 y(1)p 1402 1973
17716 V 1538 1940 a Fq(D*)p 1646 1940 31 4 v 37 w(1+)p 1912
17717 1973 4 121 v 1929 1973 V 250 w Fw(415)p 2272 1973 V 186
17718 w(D)2437 1899 y Fk(\003)p Fl(+)2437 1962 y(2)p 2618 1973
17719 V 2721 1940 a Fq(D*)p 2829 1940 31 4 v 37 w(2+)p 3062
17720 1973 4 121 v 712 2093 V 764 2060 a Fw(20423)p 1056 2093
17721 V 147 w(D)1231 2024 y Fk(\003)p Fl(0)1231 2085 y(1)p
17722 1402 2093 V 1538 2060 a Fq(D*)p 1646 2060 31 4 v 37 w(10)p
17723 1912 2093 4 121 v 1929 2093 V 250 w Fw(425)p 2272 2093
17724 V 196 w(D)2447 2024 y Fk(\003)p Fl(0)2447 2085 y(2)p
17725 2618 2093 V 2721 2060 a Fq(D*)p 2829 2060 31 4 v 37 w(20)p
17726 3062 2093 4 121 v 712 2213 V 764 2181 a Fw(20433)p 1056
17727 2213 V 137 w(D)1221 2140 y Fk(\003)p Fl(+)1221 2203 y(1s)p
17728 1402 2213 V 1512 2181 a Fq(D*)p 1620 2181 31 4 v 37 w(1s+)p
17729 1912 2213 4 121 v 1929 2213 V 225 w Fw(435)p 2272 2213
17730 V 186 w(D)2437 2140 y Fk(\003)p Fl(+)2437 2203 y(2s)p
17731 2618 2213 V 2695 2181 a Fq(D*)p 2803 2181 31 4 v 38 w(2s+)p
17732 3062 2213 4 121 v 712 2334 V 764 2301 a Fw(20113)p 1056
17733 2334 V 177 w(a)1235 2265 y Fl(0)1235 2326 y(1)p 1402
17734 2334 V 1563 2301 a Fq(a)p 1620 2301 31 4 v 37 w(10)p
17735 1912 2334 4 121 v 1929 2334 V 276 w Fw(115)p 2272 2334
17736 V 227 w(a)2452 2265 y Fl(0)2452 2326 y(2)p 2618 2334
17737 V 2746 2301 a Fq(a)p 2803 2301 31 4 v 38 w(20)p 3062
17738 2334 4 121 v 712 2454 V 764 2422 a Fw(20223)p 1056 2454
17739 V 184 w(f)1230 2385 y Fl(0)1223 2446 y(1)p 1402 2454
17740 V 1563 2422 a Fq(f)p 1620 2422 31 4 v 37 w(10)p 1912
17741 2454 4 121 v 1929 2454 V 276 w Fw(225)p 2272 2454 V 233
17742 w(f)2446 2385 y Fl(0)2439 2446 y(2)p 2618 2454 V 2746
17743 2422 a Fq(f)p 2803 2422 31 4 v 38 w(20)p 3062 2454 4
17744 121 v 712 2574 V 764 2542 a Fw(20333)p 1056 2574 V 174
17745 w(f)1220 2506 y Fk(0)p Fl(0)1213 2567 y(1)p 1402 2574
17746 V 1538 2542 a Fq(f')p 1646 2542 31 4 v 37 w(10)p 1912
17747 2574 4 121 v 1929 2574 V 250 w Fw(335)p 2272 2574 V 223
17748 w(f)2436 2506 y Fk(0)p Fl(0)2429 2567 y(2)p 2618 2574
17749 V 2721 2542 a Fq(f')p 2829 2542 31 4 v 37 w(20)p 3062
17750 2574 4 121 v 712 2695 V 764 2662 a Fw(20443)p 1056 2695
17751 V 156 w Fj(\037)1226 2626 y Fl(0)1226 2687 y(1c)p 1402
17752 2695 V 1486 2662 a Fq(chi)p 1645 2662 31 4 v 38 w(1c0)p
17753 1912 2695 4 121 v 1929 2695 V 199 w Fw(445)p 2272 2695
17754 V 205 w Fj(\037)2442 2626 y Fl(0)2442 2687 y(2c)p 2618
17755 2695 V 2670 2662 a Fq(chi)p 2829 2662 31 4 v 37 w(2c0)p
17756 3062 2695 4 121 v 714 2698 2352 4 v 712 2819 4 121 v
17757 764 2786 a Fw(30443)p 1056 2819 V 176 w Fj( )1252 2750
17758 y Fk(0)p 1402 2819 V 1556 2786 a Fq(psi')p 1912 2819
17759 V 1929 2819 V 2272 2819 V 2618 2819 V 3062 2819 V 712
17760 2939 V 764 2906 a Fw(30553)p 1056 2939 V 172 w(\007)1257
17761 2870 y Fk(0)p 1402 2939 V 1453 2906 a Fq(Upsilon')p 1912
17762 2939 V 1929 2939 V 2272 2939 V 2618 2939 V 3062 2939
17763 V 714 2942 2352 4 v 119 3213 a Fw(9.)49 b(F)-8 b(ree)41
17764 b(compressed)h(co)s(des.)69 b(The)42 b(p)s(ositions)d(401{500)h(of)g
17765 (mass)h(and)g(deca)m(y)h(arra)m(ys)f(are)g(left)244 3321
17766 y(op)s(en.)48 b(Here)35 b(a)f(user)h(ma)m(y)f(map)f(an)m(y)i(new)g
17767 (kind)f(of)g(particle)f(from)g(the)h(ordinary)g(KF)g(co)s(des,)244
17768 3429 y(whic)m(h)k(probably)f(are)g(ab)s(o)m(v)m(e)h(10000,)g(in)m(to)e
17769 (a)h(more)g(manageable)f(K)m(C)i(range)f(for)g(mass)g(and)244
17770 3538 y(deca)m(y)27 b(data)d(information.)38 b(The)26
17771 b(mapping)e(m)m(ust)i(b)s(e)f(implemen)m(ted)f(in)g(the)i
17772 Fq(LUCOMP)h Fw(function.)0 3812 y Fp(5.2)135 b(The)45
17773 b(Ev)l(en)l(t)h(Record)0 3984 y Fw(Eac)m(h)40 b(new)g(ev)m(en)m(t)h
17774 (generated)f(is)e(in)g(its)h(en)m(tiret)m(y)h(stored)f(in)f(the)i
17775 (common)d(blo)s(c)m(k)i Fq(LUJETS)p Fw(,)i(whic)m(h)0
17776 4093 y(th)m(us)46 b(forms)e(the)h(ev)m(en)m(t)h(record.)80
17777 b(Here)46 b(eac)m(h)f(jet)g(or)f(particle)g(that)g(app)s(ears)h(at)g
17778 (some)f(stage)h(of)0 4201 y(the)h(fragmen)m(tation)e(or)h(deca)m(y)i(c)
17779 m(hain)f(will)d(o)s(ccup)m(y)k(one)f(line)f(in)f(the)j(matrices.)82
17780 b(The)46 b(di\013eren)m(t)0 4309 y(comp)s(onen)m(ts)h(of)f(this)h(line)
17781 e(will)g(tell)g(whic)m(h)i(jet/particle)e(it)h(is,)k(from)c(where)i(it)
17782 d(originates,)k(its)0 4418 y(presen)m(t)42 b(status)g(\(fragmen)m
17783 (ted/deca)m(y)m(ed)h(or)d(not\),)j(its)d(momen)m(tum,)i(energy)f(and)g
17784 (mass,)i(and)e(the)0 4526 y(space{time)33 b(p)s(osition)e(of)h(its)h
17785 (pro)s(duction)f(v)m(ertex.)47 b(Note)33 b(that)g Fq(K\(I,3\))p
17786 Fw({)p Fq(K\(I,5\))i Fw(and)f(the)f Fq(P)g Fw(and)g Fq(V)0
17787 4634 y Fw(v)m(ectors)e(ma)m(y)f(tak)m(e)h(sp)s(ecial)d(meaning)h(for)g
17788 (some)h(sp)s(eci\014c)g(applications)e(\(e.g.)43 b(sphericit)m(y)30
17789 b(or)f(cluster)0 4743 y(analysis\),)j(as)h(describ)s(ed)g(in)f(those)h
17790 (connections.)146 4851 y(The)k(ev)m(en)m(t)h(history)d(information)e
17791 (stored)j(in)f Fq(K\(I,3\))p Fw({)p Fq(K\(I,5\))k Fw(should)d(not)f(b)s
17792 (e)h(tak)m(en)h(to)s(o)e(lit-)0 4959 y(erally)-8 b(.)76
17793 b(In)44 b(the)g(particle)f(deca)m(y)i(c)m(hains,)i(the)d(meaning)f(of)g
17794 (a)g(mother)h(is)f(w)m(ell-de\014ned,)k(but)d(the)0 5068
17795 y(fragmen)m(tation)31 b(description)i(is)f(more)h(complicated.)43
17796 b(The)34 b(primary)d(hadrons)j(pro)s(duced)g(in)e(string)0
17797 5176 y(fragmen)m(tation)k(come)h(from)g(the)h(string)f(as)h(a)g(whole,)
17798 h(rather)e(than)h(from)f(an)g(individual)f(parton.)0
17799 5284 y(Ev)m(en)45 b(when)g(the)f(string)f(is)g(not)h(included)f(in)g
17800 (the)h(history)f(\(see)i Fq(MSTU\(16\))p Fw(\),)k(the)44
17801 b(p)s(oin)m(ter)f(from)0 5393 y(hadron)37 b(to)f(parton)g(is)g
17802 (deceptiv)m(e.)57 b(F)-8 b(or)36 b(instance,)i(in)d(a)i(qg)p
17803 2251 5340 52 4 v 1 w(q)g(ev)m(en)m(t,)j(those)d(hadrons)g(are)f(p)s
17804 (oin)m(ting)0 5501 y(to)m(w)m(ards)26 b(the)g(q)f(\()p
17805 631 5448 V(q)q(\))f(parton)h(that)g(w)m(ere)i(pro)s(duced)e(b)m(y)h
17806 (fragmen)m(tation)e(from)f(that)i(end)h(of)f(the)g(string,)0
17807 5609 y(according)k(to)h(the)g(random)f(pro)s(cedure)i(used)g(in)e(the)h
17808 (fragmen)m(tation)e(routine.)42 b(No)29 b(particles)g(p)s(oin)m(t)1841
17809 5953 y(57)p eop
17810 %%Page: 58 64
17811 58 63 bop 1375 34 a Fw(T)-8 b(able)33 b(9:)43 b(Bary)m(on)33
17812 b(co)s(des.)p 667 160 2445 4 v 665 281 4 121 v 745 248
17813 a(KF)p 960 281 V 127 w(Name)p 1307 281 V 163 w(Prin)m(ted)p
17814 1853 281 V 1870 281 V 209 w(KF)p 2165 281 V 127 w(Name)p
17815 2511 281 V 189 w(Prin)m(ted)p 3109 281 V 667 284 2445
17816 4 v 665 404 4 121 v 960 404 V 1307 404 V 1853 404 V 1870
17817 404 V 1921 372 a(1114)p 2165 404 V 152 w(\001)2350 336
17818 y Fk(\000)p 2511 404 V 2658 372 a Fq(Delta-)p 3109 404
17819 V 665 525 V 717 492 a Fw(2112)p 960 525 V 195 w(n)p 1307
17820 525 V 368 w Fq(n0)p 1853 525 V 1870 525 V 289 w Fw(2114)p
17821 2165 525 V 162 w(\001)2360 456 y Fl(0)p 2511 525 V 2658
17822 492 a Fq(Delta0)p 3109 525 V 665 645 V 717 613 a Fw(2212)p
17823 960 645 V 195 w(p)p 1307 645 V 368 w Fq(p+)p 1853 645
17824 V 1870 645 V 289 w Fw(2214)p 2165 645 V 152 w(\001)2350
17825 576 y Fl(+)p 2511 645 V 2658 613 a Fq(Delta+)p 3109 645
17826 V 665 765 V 960 765 V 1307 765 V 1853 765 V 1870 765
17827 V 1921 733 a Fw(2224)p 2165 765 V 125 w(\001)2323 697
17828 y Fl(++)p 2511 765 V 2632 733 a Fq(Delta++)p 3109 765
17829 V 665 886 V 717 853 a Fw(3112)p 960 886 V 157 w(\006)1140
17830 817 y Fk(\000)p 1307 886 V 1428 853 a Fq(Sigma-)p 1853
17831 886 V 1870 886 V 187 w Fw(3114)p 2165 886 V 140 w(\006)2327
17832 817 y Fk(\003\000)p 2511 886 V 2632 853 a Fq(Sigma*-)p
17833 3109 886 V 665 1006 V 717 974 a Fw(3122)p 960 1006 V
17834 169 w(\003)1150 938 y Fl(0)p 1307 1006 V 1402 974 a Fq(Lambda0)p
17835 1853 1006 V 1870 1006 V 2165 1006 V 2511 1006 V 3109
17836 1006 V 665 1127 V 717 1094 a Fw(3212)p 960 1127 V 167
17837 w(\006)1150 1058 y Fl(0)p 1307 1127 V 1428 1094 a Fq(Sigma0)p
17838 1853 1127 V 1870 1127 V 187 w Fw(3214)p 2165 1127 V 150
17839 w(\006)2337 1058 y Fk(\003)p Fl(0)p 2511 1127 V 2632
17840 1094 a Fq(Sigma*0)p 3109 1127 V 665 1247 V 717 1214 a
17841 Fw(3222)p 960 1247 V 157 w(\006)1140 1178 y Fl(+)p 1307
17842 1247 V 1428 1214 a Fq(Sigma+)p 1853 1247 V 1870 1247
17843 V 187 w Fw(3224)p 2165 1247 V 140 w(\006)2327 1178 y
17844 Fk(\003)p Fl(+)p 2511 1247 V 2632 1214 a Fq(Sigma*+)p
17845 3109 1247 V 665 1367 V 717 1335 a Fw(3312)p 960 1367
17846 V 160 w(\004)1138 1299 y Fk(\000)p 1307 1367 V 1505 1335
17847 a Fq(Xi-)p 1853 1367 V 1870 1367 V 263 w Fw(3314)p 2165
17848 1367 V 143 w(\004)2325 1299 y Fk(\003\000)p 2511 1367
17849 V 2709 1335 a Fq(Xi*-)p 3109 1367 V 665 1488 V 717 1455
17850 a Fw(3322)p 960 1488 V 170 w(\004)1148 1419 y Fl(0)p
17851 1307 1488 V 1505 1455 a Fq(Xi0)p 1853 1488 V 1870 1488
17852 V 263 w Fw(3324)p 2165 1488 V 153 w(\004)2335 1419 y
17853 Fk(\003)p Fl(0)p 2511 1488 V 2709 1455 a Fq(Xi*0)p 3109
17854 1488 V 665 1608 V 960 1608 V 1307 1608 V 1853 1608 V
17855 1870 1608 V 1921 1576 a Fw(3334)p 2165 1608 V 158 w(\012)2345
17856 1539 y Fk(\000)p 2511 1608 V 2658 1576 a Fq(Omega-)p
17857 3109 1608 V 665 1728 V 717 1696 a Fw(4112)p 960 1728
17858 V 167 w(\006)1150 1660 y Fl(0)1150 1721 y(c)p 1307 1728
17859 V 1384 1696 a Fq(Sigma)p 1645 1696 31 4 v 38 w(c0)p 1853
17860 1728 4 121 v 1870 1728 V 142 w Fw(4114)p 2165 1728 V
17861 150 w(\006)2337 1660 y Fk(\003)p Fl(0)2337 1721 y(c)p
17862 2511 1728 V 2588 1696 a Fq(Sigma*)p 2900 1696 31 4 v
17863 38 w(c0)p 3109 1728 4 121 v 665 1849 V 717 1816 a Fw(4122)p
17864 960 1849 V 159 w(\003)1140 1780 y Fl(+)1140 1841 y(c)p
17865 1307 1849 V 1358 1816 a Fq(Lambda)p 1670 1816 31 4 v
17866 39 w(c+)p 1853 1849 4 121 v 1870 1849 V 2165 1849 V 2511
17867 1849 V 3109 1849 V 665 1969 V 717 1937 a Fw(4212)p 960
17868 1969 V 157 w(\006)1140 1901 y Fl(+)1140 1961 y(c)p 1307
17869 1969 V 1384 1937 a Fq(Sigma)p 1645 1937 31 4 v 38 w(c+)p
17870 1853 1969 4 121 v 1870 1969 V 142 w Fw(4214)p 2165 1969
17871 V 140 w(\006)2327 1901 y Fk(\003)p Fl(+)2327 1961 y(c)p
17872 2511 1969 V 2588 1937 a Fq(Sigma*)p 2900 1937 31 4 v
17873 38 w(c+)p 3109 1969 4 121 v 665 2090 V 717 2057 a Fw(4222)p
17874 960 2090 V 130 w(\006)1113 2021 y Fl(++)1113 2082 y(c)p
17875 1307 2090 V 1358 2057 a Fq(Sigma)p 1619 2057 31 4 v 38
17876 w(c++)p 1853 2090 4 121 v 1870 2090 V 117 w Fw(4224)p
17877 2165 2090 V 113 w(\006)2300 2021 y Fk(\003)p Fl(++)2300
17878 2082 y(c)p 2511 2090 V 2562 2057 a Fq(Sigma*)p 2874 2057
17879 31 4 v 39 w(c++)p 3109 2090 4 121 v 665 2210 V 717 2177
17880 a Fw(4132)p 960 2210 V 170 w(\004)1148 2141 y Fl(0)1148
17881 2202 y(c)p 1307 2210 V 1461 2177 a Fq(Xi)p 1569 2177
17882 31 4 v 37 w(c0)p 1853 2210 4 121 v 1870 2210 V 2165 2210
17883 V 2511 2210 V 3109 2210 V 665 2330 V 717 2298 a Fw(4312)p
17884 960 2330 V 160 w(\004)1138 2262 y Fk(0)p Fl(0)1138 2322
17885 y(c)p 1307 2330 V 1435 2298 a Fq(Xi')p 1594 2298 31 4
17886 v 38 w(c0)p 1853 2330 4 121 v 1870 2330 V 193 w Fw(4314)p
17887 2165 2330 V 153 w(\004)2335 2262 y Fk(\003)p Fl(0)2335
17888 2322 y(c)p 2511 2330 V 2665 2298 a Fq(Xi*)p 2824 2298
17889 31 4 v 38 w(c0)p 3109 2330 4 121 v 665 2451 V 717 2418
17890 a Fw(4232)p 960 2451 V 160 w(\004)1138 2382 y Fl(+)1138
17891 2443 y(c)p 1307 2451 V 1461 2418 a Fq(Xi)p 1569 2418
17892 31 4 v 37 w(c+)p 1853 2451 4 121 v 1870 2451 V 2165 2451
17893 V 2511 2451 V 3109 2451 V 665 2571 V 717 2539 a Fw(4322)p
17894 960 2571 V 151 w(\004)1129 2502 y Fk(0)p Fl(+)1129 2563
17895 y(c)p 1307 2571 V 1435 2539 a Fq(Xi')p 1594 2539 31 4
17896 v 38 w(c+)p 1853 2571 4 121 v 1870 2571 V 193 w Fw(4324)p
17897 2165 2571 V 143 w(\004)2325 2502 y Fk(\003)p Fl(+)2325
17898 2563 y(c)p 2511 2571 V 2665 2539 a Fq(Xi*)p 2824 2539
17899 31 4 v 38 w(c+)p 3109 2571 4 121 v 665 2692 V 717 2659
17900 a Fw(4332)p 960 2692 V 167 w(\012)1150 2623 y Fl(0)1150
17901 2684 y(c)p 1307 2692 V 1384 2659 a Fq(Omega)p 1645 2659
17902 31 4 v 38 w(c0)p 1853 2692 4 121 v 1870 2692 V 142 w
17903 Fw(4334)p 2165 2692 V 150 w(\012)2337 2623 y Fk(\003)p
17904 Fl(0)2337 2684 y(c)p 2511 2692 V 2588 2659 a Fq(Omega*)p
17905 2900 2659 31 4 v 38 w(c0)p 3109 2692 4 121 v 665 2812
17906 V 717 2779 a Fw(5112)p 960 2812 V 157 w(\006)1140 2738
17907 y Fk(\000)1140 2804 y Fl(b)p 1307 2812 V 1384 2779 a
17908 Fq(Sigma)p 1645 2779 31 4 v 38 w(b-)p 1853 2812 4 121
17909 v 1870 2812 V 142 w Fw(5114)p 2165 2812 V 140 w(\006)2327
17910 2738 y Fk(\003\000)2327 2804 y Fl(b)p 2511 2812 V 2588
17911 2779 a Fq(Sigma*)p 2900 2779 31 4 v 38 w(b-)p 3109 2812
17912 4 121 v 665 2932 V 717 2900 a Fw(5122)p 960 2932 V 167
17913 w(\003)1148 2864 y Fl(0)1148 2924 y(b)p 1307 2932 V 1358
17914 2900 a Fq(Lambda)p 1670 2900 31 4 v 39 w(b0)p 1853 2932
17915 4 121 v 1870 2932 V 2165 2932 V 2511 2932 V 3109 2932
17916 V 665 3053 V 717 3020 a Fw(5212)p 960 3053 V 165 w(\006)1148
17917 2984 y Fl(0)1148 3045 y(b)p 1307 3053 V 1384 3020 a Fq(Sigma)p
17918 1645 3020 31 4 v 38 w(b0)p 1853 3053 4 121 v 1870 3053
17919 V 142 w Fw(5214)p 2165 3053 V 150 w(\006)2337 2984 y
17920 Fk(\003)p Fl(0)2337 3045 y(b)p 2511 3053 V 2588 3020
17921 a Fq(Sigma*)p 2900 3020 31 4 v 38 w(b0)p 3109 3053 4
17922 121 v 665 3173 V 717 3141 a Fw(5222)p 960 3173 V 157
17923 w(\006)1140 3099 y Fl(+)1140 3166 y(b)p 1307 3173 V 1384
17924 3141 a Fq(Sigma)p 1645 3141 31 4 v 38 w(b+)p 1853 3173
17925 4 121 v 1870 3173 V 142 w Fw(5224)p 2165 3173 V 140 w(\006)2327
17926 3099 y Fk(\003)p Fl(+)2327 3166 y(b)p 2511 3173 V 2588
17927 3141 a Fq(Sigma*)p 2900 3141 31 4 v 38 w(b+)p 3109 3173
17928 4 121 v 667 3176 2445 4 v 0 3447 a Fw(to)g(the)i(g)q(.)47
17929 b(This)34 b(assignmen)m(t)g(seldom)f(agrees)h(with)g(the)g(visual)f
17930 (impression,)g(and)h(is)f(not)h(in)m(tended)0 3555 y(to.)146
17931 3663 y(The)f(common)d(blo)s(c)m(k)h Fq(LUJETS)i Fw(has)f(expanded)h
17932 (with)e(time,)g(and)g(can)h(no)m(w)g(house)g(4000)f(en)m(tries.)0
17933 3772 y(This)49 b(\014gure)g(ma)m(y)f(seem)i(ridiculously)c(large,)52
17934 b(but)d(actually)e(the)i(previous)g(limit)d(of)i(2000)g(w)m(as)0
17935 3880 y(often)38 b(reac)m(hed)h(in)e(studies)h(of)g(high-)p
17936 Fj(p)1446 3895 y Fk(?)1541 3880 y Fw(pro)s(cesses)i(at)e(the)g(LHC)g
17937 (and)g(SSC.)h(This)f(is)f(b)s(ecause)i(the)0 3988 y(ev)m(en)m(t)g
17938 (record)f(con)m(tains)g(not)f(only)g(the)h(\014nal)f(particles,)h(but)f
17939 (also)g(all)e(in)m(termediate)i(partons)g(and)0 4097
17940 y(hadrons,)30 b(whic)m(h)f(subsequen)m(t)m(y)k(sho)m(w)m(ered,)f
17941 (fragmen)m(ted)c(or)h(deca)m(y)m(ed.)44 b(Included)30
17942 b(are)e(also)g(a)g(w)m(ealth)0 4205 y(of)42 b(photons)h(coming)e(from)h
17943 Fj(\031)1146 4169 y Fl(0)1228 4205 y Fw(deca)m(ys;)49
17944 b(the)43 b(simplest)f(w)m(a)m(y)i(of)e(reducing)g(the)i(size)e(of)h
17945 (the)g(ev)m(en)m(t)1162 4543 y(T)-8 b(able)33 b(10:)43
17946 b(Di\013ractiv)m(e)31 b(state)i(co)s(des.)p 889 4659
17947 2002 4 v 887 4780 4 121 v 967 4747 a(KF)p 1182 4780 V
17948 191 w(Prin)m(ted)p 1729 4780 V 511 w(Meaning)p 2887 4780
17949 V 889 4783 2002 4 v 887 4903 4 121 v 963 4871 a(110)p
17950 1182 4903 V 124 w Fq(rho)p 1393 4871 31 4 v 37 w(diff0)p
17951 1729 4903 4 121 v 101 w Fw(Di\013ractiv)m(e)e Fj(\031)2317
17952 4835 y Fl(0)2357 4871 y Fj(=\032)2456 4835 y Fl(0)2495
17953 4871 y Fj(=\015)38 b Fw(state)p 2887 4903 V 887 5024
17954 V 963 4991 a(210)p 1182 5024 V 124 w Fq(pi)p 1342 4991
17955 31 4 v 37 w(diffr+)p 1729 5024 4 121 v 213 w Fw(Di\013ractiv)m(e)31
17956 b Fj(\031)2429 4955 y Fl(+)2521 4991 y Fw(state)p 2887
17957 5024 V 887 5144 V 963 5111 a(220)p 1182 5144 V 124 w
17958 Fq(omega)p 1495 5111 31 4 v 38 w(di0)p 1729 5144 4 121
17959 v 239 w Fw(Di\013ractiv)m(e)g Fj(!)36 b Fw(state)p 2887
17960 5144 V 887 5264 V 963 5232 a(330)p 1182 5264 V 124 w
17961 Fq(phi)p 1393 5232 31 4 v 37 w(diff0)p 1729 5264 4 121
17962 v 243 w Fw(Di\013ractiv)m(e)31 b Fj(\036)i Fw(state)p
17963 2887 5264 V 887 5385 V 963 5352 a(440)p 1182 5385 V 124
17964 w Fq(J/psi)p 1495 5352 31 4 v 38 w(di0)p 1729 5385 4
17965 121 v 188 w Fw(Di\013ractiv)m(e)e(J)p Fj(= )37 b Fw(state)p
17966 2887 5385 V 887 5505 V 939 5473 a(2110)p 1182 5505 V
17967 150 w Fq(n)p 1342 5473 31 4 v 37 w(diffr)p 1729 5505
17968 4 121 v 296 w Fw(Di\013ractiv)m(e)31 b(n)i(state)p 2887
17969 5505 V 887 5626 V 939 5593 a(2210)p 1182 5626 V 124 w
17970 Fq(p)p 1316 5593 31 4 v 37 w(diffr+)p 1729 5626 4 121
17971 v 271 w Fw(Di\013ractiv)m(e)e(p)i(state)p 2887 5626 V
17972 889 5629 2002 4 v 1841 5953 a(58)p eop
17973 %%Page: 59 65
17974 59 64 bop 0 -18 a Fw(record)41 b(is)f(actually)g(to)g(switc)m(h)i
17975 (o\013)e Fj(\031)1434 -55 y Fl(0)1514 -18 y Fw(deca)m(ys)i(b)m(y)h
17976 Fq(MDCY\(LUCOMP\(111\),1\)=0)p Fw(.)74 b(Also)40 b(note)h(that)0
17977 90 y(some)32 b(routines,)h(suc)m(h)h(as)e Fq(LUCLUS)j
17978 Fw(and)d Fq(LUCELL)p Fw(,)i(use)g(memory)d(after)h(the)h(ev)m(en)m(t)i
17979 (record)e(prop)s(er)f(as)0 198 y(a)g(w)m(orking)h(area.)43
17980 b(Still,)30 b(to)i(c)m(hange)i(the)f(size)g(of)f(the)h(common)e(blo)s
17981 (c)m(k,)h(up)m(w)m(ards)j(or)d(do)m(wn)m(w)m(ards,)j(is)0
17982 307 y(easy:)40 b(just)25 b(do)e(a)h(global)e(substitute)i(in)f(the)i
17983 (common)d(blo)s(c)m(k)i(and)g(c)m(hange)h(the)f Fq(MSTU\(4\))i
17984 Fw(v)-5 b(alue)23 b(to)h(the)0 415 y(new)35 b(n)m(um)m(b)s(er.)49
17985 b(If)34 b(more)g(than)g(10000)f(lines)g(are)i(to)e(b)s(e)i(used,)h(the)
17986 e(pac)m(king)h(of)e(colour)h(information)0 523 y(should)e(also)g(b)s(e)
17987 h(c)m(hanged,)h(see)f Fq(MSTU\(5\))p Fw(.)p 0 668 2466
17988 9 v 0 892 9 225 v 79 808 a Fq(COMMON/LUJETS/N,K\(4000,5)q(\),P\()q
17989 (4000)q(,5\),)q(V\(4)q(000,)q(5\))p 2457 892 V 0 900
17990 2466 9 v 0 1057 a Fo(Purp)s(ose:)48 b Fw(to)34 b(con)m(tain)g(the)h(ev)
17991 m(en)m(t)h(record,)f(i.e.)49 b(the)34 b(complete)g(list)f(of)h(all)e
17992 (partons)j(and)f(particles)472 1166 y(in)e(the)h(curren)m(t)h(ev)m(en)m
17993 (t.)0 1274 y Fq(N)52 b(:)318 b Fw(n)m(um)m(b)s(er)38
17994 b(of)g(lines)e(in)h(the)h Fq(K)p Fw(,)g Fq(P)g Fw(and)f
17995 Fq(V)h Fw(matrices)f(o)s(ccupied)h(b)m(y)g(the)g(curren)m(t)h(ev)m(en)m
17996 (t.)60 b Fq(N)472 1382 y Fw(is)32 b(con)m(tin)m(uously)g(up)s(dated)g
17997 (as)g(the)g(de\014nition)f(of)g(the)i(original)28 b(con\014guration)j
17998 (and)h(the)472 1491 y(treatmen)m(t)26 b(of)f(fragmen)m(tation)e(and)i
17999 (deca)m(y)i(pro)s(ceed.)42 b(In)26 b(the)f(follo)m(wing,)f(the)i
18000 (individual)472 1599 y(parton/particle)31 b(n)m(um)m(b)s(er,)i(running)
18001 f(b)s(et)m(w)m(een)j(1)d(and)h Fq(N)p Fw(,)g(is)f(called)f
18002 Fq(I)p Fw(.)0 1707 y Fq(K\(I,1\))53 b(:)62 b Fw(status)30
18003 b(co)s(de)f(KS,)g(whic)m(h)g(giv)m(es)h(the)f(curren)m(t)h(status)f(of)
18004 g(the)g(parton/particle)e(stored)i(in)472 1816 y(the)36
18005 b(line.)48 b(The)35 b(ground)g(rule)f(is)g(that)h(co)s(des)g(1{10)f
18006 (corresp)s(ond)h(to)g(curren)m(tly)g(existing)472 1924
18007 y(partons/particles,)27 b(while)e(larger)f(co)s(des)j(con)m(tain)e
18008 (partons/particles)g(whic)m(h)i(no)e(longer)472 2032
18009 y(exist,)33 b(or)g(other)f(kinds)h(of)f(ev)m(en)m(t)j(information.)236
18010 2141 y Fq(=)52 b(0)f(:)217 b Fw(empt)m(y)33 b(line.)236
18011 2249 y Fq(=)52 b(1)f(:)217 b Fw(an)36 b(undeca)m(y)m(ed)j(particle)c
18012 (or)i(an)f(unfragmen)m(ted)h(jet,)g(the)g(latter)f(b)s(eing)f(either)i
18013 (a)709 2357 y(single)31 b(jet)i(or)f(the)h(last)f(one)h(of)f(a)g(jet)h
18014 (system.)236 2466 y Fq(=)52 b(2)f(:)217 b Fw(an)33 b(unfragmen)m(ted)h
18015 (jet,)g(whic)m(h)g(is)f(follo)m(w)m(ed)g(b)m(y)i(more)d(jets)j(in)d
18016 (the)i(same)g(colour-)709 2574 y(singlet)d(jet)i(system.)236
18017 2682 y Fq(=)52 b(3)f(:)217 b Fw(an)22 b(unfragmen)m(ted)g(jet)g(with)g
18018 (sp)s(ecial)f(colour)g(\015o)m(w)i(information)c(stored)k(in)e
18019 Fq(K\(I,4\))709 2791 y Fw(and)31 b Fq(K\(I,5\))p Fw(,)i(suc)m(h)f(that)
18020 f(adjacen)m(t)h(partons)f(along)f(the)i(string)e(need)i(not)f(follo)m
18021 (w)709 2899 y(eac)m(h)i(other)g(in)f(the)h(ev)m(en)m(t)h(record.)236
18022 3007 y Fq(=)52 b(4)f(:)217 b Fw(a)47 b(particle)g(whic)m(h)i(could)e
18023 (ha)m(v)m(e)j(deca)m(y)m(ed,)k(but)48 b(did)g(not)g(within)f(the)h
18024 (allo)m(w)m(ed)709 3116 y(v)m(olume)32 b(around)g(the)h(original)d(v)m
18025 (ertex.)236 3224 y Fq(=)52 b(5)f(:)217 b Fw(a)34 b(particle)f(whic)m(h)
18026 i(is)g(to)f(b)s(e)h(forced)g(to)f(deca)m(y)i(in)e(the)h(next)h
18027 Fq(LUEXEC)g Fw(call,)d(in)h(the)709 3332 y(v)m(ertex)g(p)s(osition)d
18028 (giv)m(en)i(\(this)f(co)s(de)h(is)f(only)g(set)h(b)m(y)h(user)f(in)m
18029 (terv)m(en)m(tion\).)236 3441 y Fq(=)52 b(11)g(:)165
18030 b Fw(a)28 b(deca)m(y)m(ed)k(particle)27 b(or)i(a)g(fragmen)m(ted)f
18031 (jet,)i(the)g(latter)e(b)s(eing)g(either)h(a)f(single)g(jet)709
18032 3549 y(or)k(the)h(last)f(one)h(of)f(a)g(jet)h(system,)g(cf.)44
18033 b Fq(=1)p Fw(.)236 3657 y Fq(=)52 b(12)g(:)165 b Fw(a)23
18034 b(fragmen)m(ted)h(jet,)i(whic)m(h)e(is)g(follo)m(w)m(ed)f(b)m(y)i(more)
18035 e(jets)i(in)e(the)h(same)g(colour-singlet)709 3766 y(jet)29
18036 b(system,)i(cf.)43 b Fq(=2)p Fw(.)g(F)-8 b(urther,)30
18037 b(a)f(B)h(meson)f(whic)m(h)h(deca)m(y)m(ed)i(as)e(a)p
18038 3196 3688 70 4 v 29 w(B)g(one,)g(or)f(vice)709 3874 y(v)m(ersa,)i(b)s
18039 (ecause)h(of)d(B{)p 1568 3796 V(B)h(mixing,)f(is)g(mark)m(ed)h(with)g
18040 (this)f(co)s(de)i(rather)f(than)g Fq(=11)p Fw(.)236 3982
18041 y Fq(=)52 b(13)g(:)165 b Fw(a)35 b(jet)h(whic)m(h)h(has)f(b)s(een)h
18042 (remo)m(v)m(ed)g(when)g(sp)s(ecial)e(colour)g(\015o)m(w)h(information)d
18043 (has)709 4091 y(b)s(een)g(used)h(to)e(rearrange)h(a)f(jet)g(system,)i
18044 (cf.)44 b Fq(=3)p Fw(.)236 4199 y Fq(=)52 b(14)g(:)165
18045 b Fw(a)38 b(parton)h(whic)m(h)g(has)g(branc)m(hed)i(in)m(to)d(further)h
18046 (partons,)i(with)d(sp)s(ecial)g(colour-)709 4307 y(\015o)m(w)33
18047 b(information)c(pro)m(vided,)k(cf.)44 b Fq(=3)p Fw(.)236
18048 4416 y Fq(=)52 b(15)g(:)165 b Fw(a)32 b(particle)f(whic)m(h)i(has)g(b)s
18049 (een)h(forced)f(to)f(deca)m(y)i(\(b)m(y)f(user)h(in)m(terv)m(en)m
18050 (tion\),)f(cf.)43 b Fq(=5)p Fw(.)236 4524 y Fq(=)52 b(21)g(:)165
18051 b Fw(do)s(cumen)m(tation)32 b(lines)g(used)i(to)e(giv)m(e)h(a)g
18052 (compressed)h(story)f(of)g(the)g(ev)m(en)m(t)i(at)d(the)709
18053 4632 y(b)s(eginning)f(of)h(the)h(ev)m(en)m(t)h(record.)236
18054 4741 y Fq(=)52 b(31)g(:)165 b Fw(lines)31 b(with)i(information)c(on)j
18055 (sphericit)m(y)-8 b(,)33 b(thrust)h(or)e(cluster)h(searc)m(h.)236
18056 4849 y Fq(=)52 b(32)g(:)165 b Fw(tabular)31 b(output,)i(as)g(generated)
18057 g(b)m(y)i Fq(LUTABU)p Fw(.)236 4958 y Fq(=)52 b(41)g(:)165
18058 b Fw(junction)32 b(\(curren)m(tly)h(not)f(fully)g(implemen)m(ted\).)236
18059 5066 y Fq(<)52 b(0)f(:)217 b Fw(these)45 b(co)s(des)g(are)f(nev)m(er)h
18060 (used)h(b)m(y)e(the)h(program,)g(and)g(are)f(therefore)g(usually)709
18061 5174 y(not)c(a\013ected)i(b)m(y)g(op)s(erations)e(on)h(the)g(record,)j
18062 (suc)m(h)e(as)f Fq(LUROBO)p Fw(,)i Fq(LULIST)f Fw(and)709
18063 5283 y(ev)m(en)m(t-analysis)36 b(routines)g(\(the)g(exception)h(is)e
18064 (some)h Fq(LUEDIT)i Fw(calls,)d(where)i(lines)709 5391
18065 y(are)30 b(mo)m(v)m(ed)i(but)f(not)g(deleted\).)43 b(Suc)m(h)32
18066 b(co)s(des)g(ma)m(y)e(therefore)i(b)s(e)f(useful)g(in)f(some)709
18067 5499 y(connections.)0 5608 y Fq(K\(I,2\))53 b(:)62 b
18068 Fw(parton/particle)31 b(KF)h(co)s(de,)h(as)g(describ)s(ed)g(in)f
18069 (section)h(5.1.)1841 5953 y(59)p eop
18070 %%Page: 60 66
18071 60 65 bop 0 -18 a Fq(K\(I,3\))53 b(:)62 b Fw(line)28
18072 b(n)m(um)m(b)s(er)h(of)f(paren)m(t)i(particle)d(or)i(jet,)g(where)h
18073 (kno)m(wn,)h(otherwise)f(0.)42 b(Note)28 b(that)h(the)472
18074 90 y(assignmen)m(t)j(of)g(a)f(particle)g(to)g(a)h(giv)m(en)g(jet)g(in)f
18075 (a)h(jet)f(system)i(is)f(unph)m(ysical,)g(and)g(what)472
18076 198 y(is)h(giv)m(en)f(there)i(is)e(only)g(related)g(to)g(the)h(w)m(a)m
18077 (y)h(the)f(ev)m(en)m(t)h(w)m(as)g(generated.)0 307 y
18078 Fq(K\(I,4\))53 b(:)62 b Fw(normally)25 b(the)i(line)e(n)m(um)m(b)s(er)i
18079 (of)f(the)h(\014rst)g(daugh)m(ter;)j(it)25 b(is)i(0)f(for)g(an)h
18080 (undeca)m(y)m(ed)i(particle)472 415 y(or)k(unfragmen)m(ted)f(jet.)472
18081 523 y(F)-8 b(or)26 b Fq(K\(I,1\))53 b(=)e(3,)h(13)27
18082 b Fw(or)f Fq(14)p Fw(,)j(instead,)e(it)f(con)m(tains)g(sp)s(ecial)g
18083 (colour-\015o)m(w)g(information)472 632 y(\(for)32 b(in)m(ternal)g(use)
18084 h(only\))f(of)g(the)h(form)472 740 y Fq(K\(I,4\))i Fw(=)d
18085 (200000000*MCFR)e(+)j(100000000*MCTO)e(+)i(10000*ICFR)e(+)h(ICTO,)472
18086 848 y(where)38 b(ICFR)f(and)g(ICTO)h(giv)m(e)e(the)i(line)d(n)m(um)m(b)
18087 s(ers)j(of)e(the)h(partons)g(from)f(whic)m(h)h(the)472
18088 957 y(colour)31 b(comes)g(and)g(to)f(where)j(it)d(go)s(es,)h(resp)s
18089 (ectiv)m(ely;)i(MCFR)e(and)g(MCTO)h(originally)472 1065
18090 y(are)23 b(0)f(and)h(are)f(set)h(to)g(1)f(when)h(the)g(corresp)s
18091 (onding)g(colour)e(connection)i(has)g(b)s(een)g(traced)472
18092 1173 y(in)36 b(the)g Fq(LUPREP)h Fw(rearrangemen)m(t)f(pro)s(cedure.)55
18093 b(\(The)37 b(pac)m(king)f(ma)m(y)g(b)s(e)g(c)m(hanged)h(with)472
18094 1282 y Fq(MSTU\(5\))p Fw(.\))58 b(The)37 b(`from')f(colour)g(p)s
18095 (osition)e(ma)m(y)j(indicate)e(a)i(parton)f(whic)m(h)h(branc)m(hed)472
18096 1390 y(to)e(pro)s(duce)h(the)g(curren)m(t)g(parton,)f(or)g(a)g(parton)g
18097 (created)h(together)f(with)g(the)g(curren)m(t)472 1498
18098 y(parton)27 b(but)g(with)g(matc)m(hed)g(an)m(ticolour,)f(while)g(the)i
18099 (`to')e(normally)f(indicates)h(a)h(parton)472 1607 y(that)38
18100 b(the)g(curren)m(t)h(parton)e(branc)m(hes)j(in)m(to.)58
18101 b(Th)m(us,)40 b(for)d(setting)h(up)g(an)f(initial)d(colour)472
18102 1715 y(con\014guration,)40 b(it)e(is)g(normally)e(only)j(the)g(`from')f
18103 (part)g(that)h(is)f(used,)k(while)37 b(the)j(`to')472
18104 1823 y(part)33 b(is)f(added)h(b)m(y)g(the)g(program)e(in)h(a)g
18105 (subsequen)m(t)k(call)31 b(to)h(parton-sho)m(w)m(er)h(ev)m(olution)472
18106 1932 y(\(for)28 b(\014nal-state)f(radiation;)h(it)f(is)h(the)h(other)f
18107 (w)m(a)m(y)h(around)g(for)e(initial-state)e(radiation\).)472
18108 2040 y Fo(Note:)69 b Fw(normally)43 b(most)i(users)h(nev)m(er)h(ha)m(v)
18109 m(e)g(to)e(w)m(orry)h(ab)s(out)f(the)h(exact)g(rules)f(for)472
18110 2148 y(colour-\015o)m(w)35 b(storage,)h(since)g(this)f(is)g(used)i
18111 (mainly)c(for)i(in)m(ternal)g(purp)s(oses.)53 b(Ho)m(w)m(ev)m(er,)472
18112 2257 y(when)36 b(it)d(is)h(necessary)j(to)d(de\014ne)i(this)e(\015o)m
18113 (w,)i(it)d(is)h(recommended)h(to)f(use)h(the)g Fq(LUJOIN)472
18114 2365 y Fw(routine,)f(since)g(it)f(is)g(lik)m(ely)g(that)h(this)f(w)m
18115 (ould)h(reduce)h(the)f(c)m(hances)i(of)d(making)g(a)g(mis-)472
18116 2473 y(tak)m(e.)0 2582 y Fq(K\(I,5\))53 b(:)62 b Fw(normally)26
18117 b(the)i(line)f(n)m(um)m(b)s(er)h(of)f(the)h(last)g(daugh)m(ter;)i(it)c
18118 (is)i(0)f(for)h(an)f(undeca)m(y)m(ed)k(particle)472 2690
18119 y(or)i(unfragmen)m(ted)f(jet.)472 2798 y(F)-8 b(or)26
18120 b Fq(K\(I,1\))53 b(=)e(3,)h(13)27 b Fw(or)f Fq(14)p Fw(,)j(instead,)e
18121 (it)f(con)m(tains)g(sp)s(ecial)g(colour-\015o)m(w)g(information)472
18122 2907 y(\(for)32 b(in)m(ternal)g(use)h(only\))f(of)g(the)h(form)472
18123 3015 y Fq(K\(I,5\))i Fw(=)d(200000000*MCFR)e(+)j(100000000*MCTO)e(+)i
18124 (10000*ICFR)e(+)h(ICTO,)472 3123 y(where)38 b(ICFR)f(and)g(ICTO)h(giv)m
18125 (e)e(the)i(line)d(n)m(um)m(b)s(ers)j(of)e(the)h(partons)g(from)f(whic)m
18126 (h)h(the)472 3232 y(an)m(ticolour)c(comes)i(and)f(to)g(where)i(it)d(go)
18127 s(es,)i(resp)s(ectiv)m(ely;)i(MCFR)d(and)h(MCTO)g(orig-)472
18128 3340 y(inally)40 b(are)i(0)f(and)h(are)g(set)g(to)f(1)h(when)h(the)f
18129 (corresp)s(onding)f(colour)g(connection)h(has)472 3448
18130 y(b)s(een)e(traced)f(in)e(the)i Fq(LUPREP)h Fw(rearrangemen)m(t)f(pro)s
18131 (cedure.)62 b(F)-8 b(or)37 b(further)i(discussion,)472
18132 3557 y(see)34 b Fq(K\(I,4\))p Fw(.)0 3665 y Fq(P\(I,1\))53
18133 b(:)62 b Fj(p)521 3680 y Fh(x)565 3665 y Fw(,)33 b(momen)m(tum)e(in)h
18134 (the)h Fj(x)g Fw(direction,)e(in)h(GeV/)p Fj(c)p Fw(.)0
18135 3774 y Fq(P\(I,2\))53 b(:)62 b Fj(p)521 3789 y Fh(y)563
18136 3774 y Fw(,)32 b(momen)m(tum)g(in)f(the)i Fj(y)j Fw(direction,)c(in)f
18137 (GeV/)p Fj(c)p Fw(.)0 3882 y Fq(P\(I,3\))53 b(:)62 b
18138 Fj(p)521 3897 y Fh(z)561 3882 y Fw(,)33 b(momen)m(tum)e(in)h(the)h
18139 Fj(z)k Fw(direction,)32 b(in)f(GeV/)p Fj(c)p Fw(.)0 3990
18140 y Fq(P\(I,4\))53 b(:)62 b Fj(E)6 b Fw(,)33 b(energy)-8
18141 b(,)34 b(in)d(GeV.)0 4099 y Fq(P\(I,5\))53 b(:)62 b Fj(m)p
18142 Fw(,)31 b(mass,)e(in)g(GeV/)p Fj(c)1273 4062 y Fl(2)1312
18143 4099 y Fw(.)42 b(In)30 b(parton)e(sho)m(w)m(ers,)k(with)d(space-lik)m
18144 (e)g(virtualities,)e(i.e.)42 b(where)472 4207 y Fj(Q)549
18145 4171 y Fl(2)617 4207 y Fw(=)27 b Fn(\000)p Fj(m)882 4171
18146 y Fl(2)950 4207 y Fj(>)h Fw(0,)k(one)h(puts)g Fq(P\(I,5\))p
18147 Fw(=)d Fn(\000)p Fj(Q)p Fw(.)0 4315 y Fq(V\(I,1\))53
18148 b(:)62 b Fj(x)33 b Fw(p)s(osition)e(of)h(pro)s(duction)g(v)m(ertex,)j
18149 (in)c(mm.)0 4424 y Fq(V\(I,2\))53 b(:)62 b Fj(y)36 b
18150 Fw(p)s(osition)31 b(of)h(pro)s(duction)g(v)m(ertex,)i(in)e(mm.)0
18151 4532 y Fq(V\(I,3\))53 b(:)62 b Fj(z)38 b Fw(p)s(osition)30
18152 b(of)j(pro)s(duction)e(v)m(ertex,)k(in)d(mm.)0 4640 y
18153 Fq(V\(I,4\))53 b(:)62 b Fw(time)32 b(of)g(pro)s(duction,)g(in)g(mm/)p
18154 Fj(c)e Fw(\()p Fn(\031)e Fw(3)p Fj(:)p Fw(33)22 b Fn(\002)h
18155 Fw(10)2265 4604 y Fk(\000)p Fl(12)2426 4640 y Fw(s\).)0
18156 4749 y Fq(V\(I,5\))53 b(:)62 b Fw(prop)s(er)36 b(lifetime)d(of)i
18157 (particle,)g(in)g(mm/)p Fj(c)f Fw(\()p Fn(\031)g Fw(3)p
18158 Fj(:)p Fw(33)23 b Fn(\002)i Fw(10)2589 4712 y Fk(\000)p
18159 Fl(12)2754 4749 y Fw(s\).)53 b(If)36 b(the)g(particle)e(is)i(not)472
18160 4857 y(exp)s(ected)e(to)d(deca)m(y)-8 b(,)33 b Fq(V\(I,5\)=0)p
18161 Fw(.)45 b(A)32 b(line)e(with)h Fq(K\(I,1\)=4)p Fw(,)j(i.e.)42
18162 b(a)32 b(particle)e(that)h(could)472 4965 y(ha)m(v)m(e)k(deca)m(y)m
18163 (ed,)i(but)d(did)f(not)h(within)e(the)i(allo)m(w)m(ed)f(region,)g(has)i
18164 (the)f(prop)s(er)f(non-zero)472 5074 y Fq(V\(I,5\))p
18165 Fw(.)472 5182 y(In)i(the)h(absence)g(of)e(electric)g(or)g(magnetic)g
18166 (\014elds,)h(or)g(other)g(disturbances,)h(the)f(deca)m(y)472
18167 5290 y(v)m(ertex)g Fq(VP)e Fw(of)f(an)g(unstable)h(particle)e(ma)m(y)i
18168 (b)s(e)g(calculated)e(as)472 5399 y Fq(VP\(j\))53 b(=)f(V\(I,j\))g(+)g
18169 (V\(I,5\)*P\(I,j\)/P\(I,5\))p Fw(,)38 b Fq(j)33 b Fw(=)f(1{4.)1841
18170 5953 y(60)p eop
18171 %%Page: 61 67
18172 61 66 bop 0 -18 a Fp(5.3)135 b(Ho)l(w)46 b(The)e(Ev)l(en)l(t)i(Record)g
18173 (W)-11 b(orks)0 154 y Fw(The)28 b(ev)m(en)m(t)i(record)d(is)g(the)h
18174 (main)e(rep)s(ository)h(for)g(information)d(ab)s(out)j(an)g(ev)m(en)m
18175 (t.)44 b(In)27 b(the)h(generation)0 263 y(c)m(hain,)38
18176 b(it)e(is)h(used)h(as)f(a)g(`scoreb)s(oard')g(for)g(what)g(has)h
18177 (already)e(b)s(een)i(done)f(and)g(what)h(remains)e(to)0
18178 371 y(b)s(e)g(done.)54 b(This)36 b(information)d(can)j(b)s(e)g(studied)
18179 g(b)m(y)h(y)m(ou,)h(to)d(access)j(information)33 b(not)j(only)f(ab)s
18180 (out)0 479 y(the)e(\014nal)f(state,)h(but)g(also)e(ab)s(out)h(what)h
18181 (came)g(b)s(efore.)0 727 y Fo(5.3.1)112 b(A)37 b(simple)f(example)0
18182 900 y Fw(The)27 b(example)g(of)f(section)g(3.5)g(ma)m(y)h(help)f(to)g
18183 (clarify)f(what)i(is)f(going)f(on.)42 b(When)27 b Fq(LU2ENT)h
18184 Fw(is)e(called)g(to)0 1008 y(generate)j(a)g(q)p 515 955
18185 52 4 v(q)h(pair,)e(the)i(quarks)g(are)f(stored)g(in)f(lines)g(1)h(and)f
18186 (2)h(of)f(the)i(ev)m(en)m(t)g(record,)g(resp)s(ectiv)m(ely)-8
18187 b(.)0 1116 y(Colour)43 b(information)e(is)j(set)g(to)g(sho)m(w)h(that)f
18188 (they)h(b)s(elong)e(together)i(as)f(a)g(colour)f(singlet.)77
18189 b(The)0 1225 y(coun)m(ter)32 b Fq(N)f Fw(is)f(also)g(up)s(dated)i(to)e
18190 (the)i(v)-5 b(alue)30 b(of)g(2.)43 b(A)m(t)31 b(no)g(stage)g(is)g(the)g
18191 (previously)g(generated)h(ev)m(en)m(t)0 1333 y(remo)m(v)m(ed.)53
18192 b(Lines)35 b(1)g(and)h(2)f(are)g(o)m(v)m(erwritten,)i(but)f(lines)e(3)h
18193 (on)m(w)m(ards)i(still)c(con)m(tain)i(whatev)m(er)i(ma)m(y)0
18194 1441 y(ha)m(v)m(e)j(b)s(een)f(there)g(b)s(efore.)60 b(This)39
18195 b(do)s(es)f(not)g(matter,)h(since)g Fq(N)g Fw(indicates)e(where)j(the)e
18196 (`real')g(record)0 1550 y(ends.)146 1658 y(As)e Fq(LUEXEC)h
18197 Fw(is)e(called,)h(explicitly)d(b)m(y)k(y)m(ou)f(or)f(indirectly)f(b)m
18198 (y)k Fq(LU2ENT)p Fw(,)f(the)f(\014rst)g(en)m(try)h(is)e(con-)0
18199 1766 y(sidered)29 b(and)f(found)g(to)f(b)s(e)i(the)f(\014rst)h(jet)f
18200 (of)f(a)h(system.)43 b(Therefore)29 b(the)f(second)i(en)m(try)f(is)e
18201 (also)g(found,)0 1875 y(and)h(these)g(t)m(w)m(o)g(together)g(form)e(a)h
18202 (jet)h(system,)h(whic)m(h)f(ma)m(y)f(b)s(e)h(allo)m(w)m(ed)e(to)h
18203 (fragmen)m(t.)42 b(The)28 b(`string')0 1983 y(that)35
18204 b(fragmen)m(ts)f(is)g(put)h(in)f(line)g(3)g(and)h(the)h(fragmen)m
18205 (tation)c(pro)s(ducts)k(in)e(lines)g(4)g(through)h(10)f(\(in)0
18206 2091 y(this)g(particular)f(case\).)51 b(A)m(t)35 b(the)g(same)f(time,)g
18207 (the)h(q)g(and)p 2192 2039 V 35 w(q)g(in)f(the)h(\014rst)g(t)m(w)m(o)h
18208 (lines)e(are)g(mark)m(ed)h(as)0 2200 y(ha)m(ving)c(fragmen)m(ted,)g
18209 (and)g(the)g(same)f(for)h(the)g(string.)42 b(A)m(t)31
18210 b(this)g(stage,)g Fq(N)g Fw(is)g(10.)42 b(In)m(ternally)30
18211 b(there)i(is)0 2308 y(another)k(coun)m(ter)h(with)f(the)g(v)-5
18212 b(alue)36 b(2,)h(whic)m(h)f(indicates)g(ho)m(w)g(far)g(do)m(wn)h(in)e
18213 (the)i(record)f(the)h(ev)m(en)m(t)0 2416 y(has)c(b)s(een)g(studied.)146
18214 2525 y(This)23 b(second)g(coun)m(ter)g(is)f(gradually)e(increased)j(b)m
18215 (y)g(one.)41 b(If)22 b(the)g(en)m(try)i(in)d(the)i(corresp)s(onding)f
18216 (line)0 2633 y(can)g(fragmen)m(t)f(or)h(deca)m(y)-8 b(,)25
18217 b(then)d(fragmen)m(tation)e(or)i(deca)m(y)h(is)e(p)s(erfomed.)39
18218 b(The)23 b(fragmen)m(tation/deca)m(y)0 2741 y(pro)s(ducts)40
18219 b(are)g(added)h(at)e(the)h(end)g(of)g(the)g(ev)m(en)m(t)h(record,)i
18220 (and)c Fq(N)h Fw(is)g(up)s(dated)g(accordingly)-8 b(.)64
18221 b(The)0 2850 y(en)m(try)30 b(is)f(then)h(also)e(mark)m(ed)h(as)h(ha)m
18222 (ving)f(b)s(een)g(treated.)43 b(F)-8 b(or)29 b(instance,)h(when)g(line)
18223 e(3)h(is)f(considered,)0 2958 y(the)g(`string')e(en)m(try)j(of)e(this)g
18224 (line)e(is)i(seen)i(to)e(ha)m(v)m(e)h(b)s(een)g(fragmen)m(ted,)h(and)e
18225 (no)g(action)f(is)h(tak)m(en.)43 b(Line)0 3067 y(4,)d(a)e
18226 Fj(\032)253 3030 y Fl(+)312 3067 y Fw(,)i(is)e(allo)m(w)m(ed)g(to)g
18227 (deca)m(y)h(to)g Fj(\031)1422 3030 y Fl(+)1480 3067 y
18228 Fj(\031)1539 3030 y Fl(0)1579 3067 y Fw(;)i(the)e(deca)m(y)h(pro)s
18229 (ducts)f(are)f(stored)h(in)f(lines)f(11)h(and)h(12,)0
18230 3175 y(and)34 b(line)g(4)g(is)g(mark)m(ed)g(as)h(ha)m(ving)f(deca)m(y)m
18231 (ed.)51 b(Next,)36 b(en)m(try)f(5)g(is)e(allo)m(w)m(ed)h(to)g(deca)m(y)
18232 -8 b(.)50 b(The)36 b(en)m(try)f(in)0 3283 y(line)d(6,)g
18233 Fj(\031)352 3247 y Fl(+)411 3283 y Fw(,)i(is)e(a)h(stable)f(particle)g
18234 (\(b)m(y)i(default\))e(and)h(is)g(therefore)g(passed)h(b)m(y)g(without)
18235 f(an)m(y)g(action)0 3392 y(b)s(eing)f(tak)m(en.)146 3500
18236 y(In)i(the)g(b)s(eginning)e(of)h(the)h(pro)s(cess,)h(en)m(tries)f(are)f
18237 (usually)g(unstable,)h(and)f Fq(N)h Fw(gro)m(ws)g(faster)f(than)0
18238 3608 y(the)j(second)h(coun)m(ter)g(of)f(treated)g(en)m(tries.)54
18239 b(Later)35 b(on,)i(an)f(increasing)f(fraction)f(of)i(the)g(en)m(tries)g
18240 (are)0 3717 y(stable)42 b(end)i(pro)s(ducts,)h(and)e(the)g(r^)-49
18241 b(oles)42 b(are)h(no)m(w)g(rev)m(ersed,)48 b(with)42
18242 b(the)h(second)h(coun)m(ter)f(gro)m(wing)0 3825 y(faster.)53
18243 b(When)37 b(the)f(t)m(w)m(o)g(coincide,)g(the)g(end)g(of)g(the)g
18244 (record)g(has)g(b)s(een)g(reac)m(hed,)i(and)e(the)g(pro)s(cess)0
18245 3933 y(can)d(b)s(e)g(stopp)s(ed.)45 b(All)31 b(unstable)i(ob)5
18246 b(jects)34 b(ha)m(v)m(e)g(no)m(w)f(b)s(een)h(allo)m(w)m(ed)e(to)g
18247 (fragmen)m(t)g(or)h(deca)m(y)-8 b(.)45 b(They)0 4042
18248 y(are)33 b(still)d(presen)m(t)k(in)e(the)h(record,)g(so)g(as)g(to)f
18249 (simplify)e(the)j(tracing)e(of)i(the)g(history)-8 b(.)146
18250 4150 y(Notice)26 b(that)g Fq(LUEXEC)h Fw(could)f(w)m(ell)f(b)s(e)i
18251 (called)d(a)i(second)i(time.)39 b(The)27 b(second)h(coun)m(ter)f(w)m
18252 (ould)f(then)0 4258 y(start)41 b(all)d(o)m(v)m(er)k(from)d(the)i(b)s
18253 (eginning,)g(but)g(slide)f(through)h(un)m(til)e(the)i(end)g(without)f
18254 (causing)h(an)m(y)0 4367 y(action,)25 b(since)h(all)c(ob)5
18255 b(jects)26 b(that)f(can)f(b)s(e)h(treated)g(already)g(ha)m(v)m(e)h(b)s
18256 (een.)41 b(Unless)26 b(some)e(of)g(the)i(relev)-5 b(an)m(t)0
18257 4475 y(switc)m(hes)41 b(w)m(ere)f(c)m(hanged)g(mean)m(while,)g(that)f
18258 (is.)62 b(F)-8 b(or)38 b(instance,)j(if)d Fj(\031)2643
18259 4439 y Fl(0)2721 4475 y Fw(deca)m(ys)j(w)m(ere)g(switc)m(hed)f(o\013)0
18260 4583 y(the)30 b(\014rst)g(time)e(around)i(but)f(on)h(the)g(second,)h
18261 (all)d(the)h Fj(\031)2078 4547 y Fl(0)2118 4583 y Fw('s)h(found)f(in)g
18262 (the)h(record)g(w)m(ould)g(b)s(e)f(allo)m(w)m(ed)0 4692
18263 y(to)g(deca)m(y)i(in)e(the)i(second)g(call.)40 b(A)30
18264 b(particle)f(once)h(deca)m(y)m(ed)i(is)d(not)h(`undeca)m(y)m(ed',)j(ho)
18265 m(w)m(ev)m(er,)g(so)c(if)g(the)0 4800 y Fj(\031)59 4764
18266 y Fl(0)131 4800 y Fw(is)j(put)h(bac)m(k)g(stable)g(and)f
18267 Fq(LUEXEC)j Fw(is)d(called)f(a)h(third)g(time,)g(nothing)f(will)f(happ)
18268 s(en.)0 5048 y Fo(5.3.2)112 b(Applications)36 b(to)h(PYTHIA)0
18269 5220 y Fw(In)d(a)g(full-blo)m(wn)e(ev)m(en)m(t)k(generated)f(with)f
18270 Fm(Pythia)p Fw(,)g(the)h(usage)g(of)40 b Fq(LUJETS)c
18271 Fw(is)e(more)f(complicated,)0 5329 y(although)g(the)h(general)f
18272 (principles)g(surviv)m(e.)49 b Fq(LUJETS)35 b Fw(is)e(used)i(extensiv)m
18273 (ely)h(b)s(oth)d(b)m(y)i(the)f Fm(Pythia)0 5437 y Fw(and)43
18274 b(the)f Fm(Jetset)g Fw(routines;)47 b(indeed)c(it)e(pro)m(vides)i(the)g
18275 (bridge)f(that)g(allo)m(ws)g(the)h(general)e(utilit)m(y)0
18276 5545 y(routines)32 b(in)g Fm(Jetset)f Fw(to)h(b)s(e)h(used)g(also)f
18277 (for)f Fm(Pythia)i Fw(ev)m(en)m(ts.)46 b(The)33 b Fm(Pythia)g
18278 Fw(ev)m(en)m(t)h(listing)c(b)s(egins)0 5654 y(\(optionally\))39
18279 b(with)j(a)g(few)h(lines)e(of)g(ev)m(en)m(t)j(summary)-8
18280 b(,)44 b(sp)s(eci\014c)f(to)f(the)g(hard)g(pro)s(cess)i(sim)m(ulated)
18281 1841 5953 y(61)p eop
18282 %%Page: 62 68
18283 62 67 bop 0 -18 a Fw(and)41 b(th)m(us)i(not)e(describ)s(ed)h(in)f(the)h
18284 (o)m(v)m(erview)g(ab)s(o)m(v)m(e.)71 b(These)43 b(sp)s(eci\014c)f
18285 (parts)g(are)f(co)m(v)m(ered)i(in)e(the)0 90 y(follo)m(wing.)146
18286 198 y(In)26 b(most)f(instances,)i(only)e(the)h(partons)f(and)g
18287 (particles)g(actually)f(pro)s(duced)i(are)f(of)g(in)m(terest.)41
18288 b(F)-8 b(or)0 307 y Fq(MSTP\(125\)=0)p Fw(,)32 b(the)27
18289 b(ev)m(en)m(t)j(record)e(starts)g(o\013)f(with)g(the)h(parton)g
18290 (con\014guration)e(existing)h(after)g(hard)0 415 y(in)m(teraction,)45
18291 b(initial-)39 b(and)k(\014nal-state)f(radiation,)i(m)m(ultiple)d(in)m
18292 (teractions)h(and)i(b)s(eam)e(remnan)m(ts)0 523 y(ha)m(v)m(e)i(b)s(een)
18293 g(considered.)76 b(The)45 b(partons)e(are)g(arranged)g(in)g(colour)f
18294 (singlet)g(clusters,)k(ordered)e(as)0 632 y(required)30
18295 b(for)e(string)h(fragmen)m(tation.)41 b(Also)28 b(photons)i(and)f
18296 (leptons)g(pro)s(duced)i(as)e(part)g(of)g(the)g(hard)0
18297 740 y(in)m(teraction)39 b(\(e.g.)66 b(from)39 b(q)p 1037
18298 687 52 4 v(q)i Fn(!)f Fw(g)q Fj(\015)45 b Fw(or)40 b(u)p
18299 1596 687 55 4 v(u)h Fn(!)f Fw(Z)1891 704 y Fl(0)1970
18300 740 y Fn(!)g Fw(e)2153 704 y Fl(+)2213 740 y Fw(e)2256
18301 704 y Fk(\000)2315 740 y Fw(\))g(app)s(ear)g(in)f(this)h(part)g(of)f
18302 (the)i(ev)m(en)m(t)0 848 y(record.)i(These)30 b(original)c(en)m(tries)j
18303 (app)s(ear)g(with)g(p)s(oin)m(ter)f Fq(K\(I,3\)=0)p Fw(,)k(whereas)e
18304 (the)f(pro)s(ducts)h(of)e(the)0 957 y(subsequen)m(t)41
18305 b(fragmen)m(tation)c(and)h(deca)m(y)i(ha)m(v)m(e)g Fq(K\(I,3\))g
18306 Fw(n)m(um)m(b)s(ers)f(p)s(oin)m(ting)e(bac)m(k)i(to)f(the)h(line)e(of)0
18307 1065 y(the)c(paren)m(t.)146 1173 y(The)f(standard)e(do)s(cumen)m
18308 (tation,)g(obtained)g(with)g Fq(MSTP\(125\)=1)p Fw(,)k(includes)c(a)g
18309 (few)h(lines)e(at)h(the)0 1282 y(b)s(eginning)23 b(of)h(the)g(ev)m(en)m
18310 (t)j(record,)f(whic)m(h)f(con)m(tain)f(a)g(brief)g(summary)f(of)h(the)h
18311 (pro)s(cess)h(that)e(has)g(tak)m(en)0 1390 y(place.)43
18312 b(The)33 b(n)m(um)m(b)s(er)g(of)f(lines)f(used)j(dep)s(ends)g(on)e(the)
18313 h(nature)f(of)g(the)h(hard)f(pro)s(cess)i(and)e(is)g(stored)0
18314 1498 y(in)e Fq(MSTI\(4\))i Fw(for)f(the)g(curren)m(t)h(ev)m(en)m(t.)44
18315 b(These)33 b(lines)d(all)e(ha)m(v)m(e)k Fq(K\(I,1\)=21)p
18316 Fw(.)46 b(F)-8 b(or)29 b(all)g(pro)s(cesses,)k(lines)0
18317 1607 y(1)e(and)g(2)f(giv)m(e)h(the)g(t)m(w)m(o)h(incoming)d(hadrons.)43
18318 b(When)32 b(listed)e(with)g Fq(LULIST)p Fw(,)j(these)f(t)m(w)m(o)g
18319 (lines)e(will)e(b)s(e)0 1715 y(separated)36 b(from)f(subsequen)m(t)j
18320 (ones)e(b)m(y)h(a)e(sequence)j(of)d(`)p Fq(======)p Fw(')i(signs,)f(to)
18321 f(impro)m(v)m(e)g(readabilit)m(y)-8 b(.)0 1823 y(F)g(or)36
18322 b(di\013ractiv)m(e)h(and)g(elastic)f(ev)m(en)m(ts,)41
18323 b(the)c(t)m(w)m(o)h(outgoing)d(states)j(in)f(lines)f(3)h(and)g(4)g
18324 (complete)f(the)0 1932 y(list.)56 b(Otherwise,)40 b(lines)c(3)h(and)h
18325 (4)f(con)m(tain)g(the)h(t)m(w)m(o)g(partons)f(that)h(initiate)c(the)k
18326 (t)m(w)m(o)g(initial-state)0 2040 y(parton)k(sho)m(w)m(ers,)47
18327 b(and)42 b(5)g(and)g(6)g(the)g(end)h(pro)s(ducts)g(of)e(these)j(sho)m
18328 (w)m(ers,)i(i.e.)72 b(the)42 b(partons)h(that)0 2148
18329 y(en)m(ter)f(the)f(hard)f(in)m(teraction.)67 b(With)40
18330 b(initial-state)d(radiation)h(switc)m(hed)k(o\013,)g(lines)e(3)g(and)h
18331 (5)f(and)0 2257 y(lines)e(4)h(and)g(6)g(coincide.)62
18332 b(F)-8 b(or)39 b(a)f(simple)g(2)g Fn(!)h Fw(2)g(hard)g(scattering,)h
18333 (lines)f(7)f(and)h(8)g(giv)m(e)g(the)h(t)m(w)m(o)0 2365
18334 y(outgoing)25 b(partons/particles)h(from)f(the)i(hard)g(in)m
18335 (teraction,)f(b)s(efore)h(an)m(y)g(\014nal-state)f(radiation.)39
18336 b(F)-8 b(or)0 2473 y(2)29 b Fn(!)f Fw(2)33 b(pro)s(cesses)j(pro)s
18337 (ceeding)d(via)g(an)g(in)m(termediate)f(resonance)j(suc)m(h)g(as)e
18338 Fj(\015)2909 2437 y Fk(\003)2949 2473 y Fj(=)p Fw(Z)3058
18339 2437 y Fl(0)3096 2473 y Fw(,)h(W)3258 2437 y Fk(\006)3351
18340 2473 y Fw(or)f(H)3544 2437 y Fl(0)3583 2473 y Fw(,)h(the)0
18341 2582 y(resonance)i(is)f(found)g(in)f(line)g(7)g(and)h(the)h(t)m(w)m(o)f
18342 (outgoing)f(partons/particles)g(in)g(8)h(and)g(9.)50
18343 b(In)36 b(some)0 2690 y(cases)g(one)g(of)e(these)i(ma)m(y)f(b)s(e)g(a)g
18344 (resonance)i(in)d(its)g(o)m(wn)i(righ)m(t,)f(or)f(b)s(oth)h(of)g(them,)
18345 g(so)g(that)g(further)0 2798 y(pairs)43 b(of)h(lines)f(are)g(added)i
18346 (for)e(subsequen)m(t)k(deca)m(ys.)79 b(If)44 b(the)g(deca)m(y)h(of)e(a)
18347 h(giv)m(en)g(resonance)h(has)0 2907 y(b)s(een)36 b(switc)m(hed)g
18348 (o\013,)g(then)g(no)f(deca)m(y)i(pro)s(ducts)f(are)f(listed)f(either)h
18349 (in)f(this)h(initial)d(summary)i(or)h(in)0 3015 y(the)e(subsequen)m(t)i
18350 (ordinary)d(listing.)41 b(Whenev)m(er)35 b(partons)e(are)f(listed,)g
18351 (they)h(are)g(assumed)g(to)f(b)s(e)h(on)0 3123 y(the)h(mass)g(shell)f
18352 (for)g(simplicit)m(y)-8 b(.)44 b(The)34 b(fact)g(that)f(e\013ectiv)m(e)
18353 i(masses)f(ma)m(y)g(b)s(e)g(generated)g(b)m(y)h(initial-)0
18354 3232 y(and)h(\014nal-state)e(radiation)g(is)h(tak)m(en)h(in)m(to)f
18355 (accoun)m(t)h(in)f(the)h(actual)f(parton)g(con\014guration)g(that)g(is)
18356 0 3340 y(allo)m(w)m(ed)c(to)g(fragmen)m(t,)h(ho)m(w)m(ev)m(er.)45
18357 b(A)32 b(sp)s(ecial)f(case)h(is)f(pro)m(vided)i(b)m(y)f(W)2674
18358 3304 y Fl(+)2734 3340 y Fw(W)2835 3304 y Fk(\000)2926
18359 3340 y Fw(or)f(Z)3104 3304 y Fl(0)3143 3340 y Fw(Z)3203
18360 3304 y Fl(0)3274 3340 y Fw(fusion)g(to)h(an)0 3448 y(H)73
18361 3412 y Fl(0)113 3448 y Fw(.)64 b(Then)41 b(the)g(virtual)d(W)q('s)j(or)
18362 e(Z's)h(are)g(sho)m(wn)h(in)e(lines)f(7)i(and)g(8,)h(the)f(H)2938
18363 3412 y Fl(0)3017 3448 y Fw(in)f(line)g(9,)i(and)f(the)0
18364 3557 y(t)m(w)m(o)32 b(recoiling)d(quarks)j(\(that)g(emitted)e(the)i(b)s
18365 (osons\))f(in)g(10)g(and)g(11,)g(follo)m(w)m(ed)g(b)m(y)h(the)g(Higgs)e
18366 (deca)m(y)0 3665 y(pro)s(ducts.)65 b(Since)40 b(the)g(W)q('s)h(and)e
18367 (Z's)h(are)g(space-lik)m(e,)h(what)f(is)f(actually)f(listed)h(as)g(the)
18368 h(mass)g(for)0 3782 y(them)35 b(is)f Fn(\000)429 3701
18369 y(p)p 513 3701 203 4 v 513 3782 a(\000)p Fj(m)675 3754
18370 y Fl(2)715 3782 y Fw(.)51 b(The)36 b(listing)d(of)i(the)g(ev)m(en)m(t)i
18371 (do)s(cumen)m(tation)e(closes)g(with)g(another)g(line)f(made)0
18372 3891 y(up)f(of)f(`)p Fq(======)p Fw(')i(signs.)146 3999
18373 y(A)25 b(few)g(examples)f(ma)m(y)h(help)f(clarify)f(the)i(picture.)41
18374 b(F)-8 b(or)23 b(a)h(single)g(di\013ractiv)m(e)g(ev)m(en)m(t)i(p)p
18375 3303 3946 55 4 v(p)i Fn(!)f Fw(p)3566 4014 y Fl(di\013r)p
18376 3698 3946 V 3698 3999 a Fw(p,)0 4107 y(the)33 b(ev)m(en)m(t)h(record)f
18377 (will)e(start)h(with)51 4216 y Fq(I)52 b(K\(I,1\))155
18378 b(K\(I,2\))53 b(K\(I,3\))85 b Fw(commen)m(t)51 4324 y
18379 Fq(1)257 b(21)g(2212)308 b(0)84 b Fw(incoming)31 b(p)51
18380 4432 y Fq(2)257 b(21)205 b(-2212)309 b(0)84 b Fw(incoming)p
18381 1783 4380 V 31 w(p)0 4541 y Fq(=========================)90
18382 b Fw(not)33 b(part)f(of)g(record;)h(app)s(ears)g(in)f(listings)51
18383 4649 y Fq(3)257 b(21)359 b(27)308 b(1)84 b Fw(outgoing)31
18384 b(p)1820 4664 y Fl(di\013r)51 4757 y Fq(4)257 b(21)205
18385 b(-2212)309 b(2)84 b Fw(outgoing)p 1766 4705 V 31 w(p)0
18386 4866 y Fq(=========================)90 b Fw(again)32
18387 b(not)g(part)g(of)g(record)146 4974 y(The)i(t)m(ypical)e(QCD)g(2)27
18388 b Fn(!)h Fw(2)k(pro)s(cess)i(w)m(ould)e(b)s(e)51 5082
18389 y Fq(I)52 b(K\(I,1\))155 b(K\(I,2\))53 b(K\(I,3\))85
18390 b Fw(commen)m(t)51 5191 y Fq(1)257 b(21)g(2212)308 b(0)84
18391 b Fw(incoming)31 b(p)51 5299 y Fq(2)257 b(21)205 b(-2212)309
18392 b(0)84 b Fw(incoming)p 1783 5246 V 31 w(p)0 5408 y Fq
18393 (=========================)51 5516 y(3)257 b(21)411 b(2)307
18394 b(1)84 b Fw(u)33 b(pic)m(k)m(ed)h(from)d(incoming)g(p)51
18395 5624 y Fq(4)257 b(21)359 b(-1)308 b(2)p 1365 5545 V 84
18396 w Fw(d)33 b(pic)m(k)m(ed)h(from)d(incoming)p 2401 5571
18397 V 31 w(p)1841 5953 y(62)p eop
18398 %%Page: 63 69
18399 63 68 bop 51 -18 a Fq(5)257 b(21)359 b(21)308 b(3)84
18400 b Fw(u)33 b(ev)m(olv)m(ed)h(to)e(g)i(at)e(hard)h(scattering)51
18401 90 y Fq(6)257 b(21)359 b(-1)308 b(4)84 b Fw(still)p 1556
18402 11 55 4 v 31 w(d)32 b(at)h(hard)f(scattering)51 198 y
18403 Fq(7)257 b(21)359 b(21)308 b(0)84 b Fw(outgoing)31 b(g)j(from)d(hard)i
18404 (scattering)51 307 y Fq(8)257 b(21)359 b(-1)308 b(0)84
18405 b Fw(outgoing)p 1766 227 V 31 w(d)33 b(from)f(hard)g(scattering)0
18406 415 y Fq(=========================)146 523 y Fw(Note)h(that,)g(where)i
18407 (w)m(ell)d(de\014ned,)i(the)g Fq(K\(I,3\))g Fw(co)s(de)f(do)s(es)h(con)
18408 m(tain)e(information)e(as)j(to)g(whic)m(h)0 632 y(side)h(the)h
18409 (di\013eren)m(t)f(partons)h(come)e(from,)h(e.g.)48 b(ab)s(o)m(v)m(e)35
18410 b(the)g(gluon)e(in)g(line)g(5)h(p)s(oin)m(ts)g(bac)m(k)h(to)f(the)g(u)0
18411 740 y(in)e(line)f(3,)i(whic)m(h)g(p)s(oin)m(ts)g(bac)m(k)h(to)e(the)h
18412 (proton)g(in)f(line)f(1.)44 b(In)33 b(the)h(example)e(ab)s(o)m(v)m(e,)i
18413 (it)d(w)m(ould)i(ha)m(v)m(e)0 848 y(b)s(een)k(p)s(ossible)f(to)g(asso)s
18414 (ciate)g(the)h(scattered)h(g)e(in)g(line)f(7)h(with)g(the)h(incoming)d
18415 (one)j(in)f(line)f(5,)i(but)0 957 y(this)27 b(is)g(not)h(p)s(ossible)f
18416 (in)g(the)h(general)f(case,)i(consider)f(e.g.)42 b(gg)29
18417 b Fn(!)e Fw(gg)q(.)42 b(As)28 b(a)f(\014nal)g(example,)h(W)3559
18418 920 y Fl(+)3619 957 y Fw(W)3720 920 y Fk(\000)0 1065
18419 y Fw(fusion)k(to)g(an)h(H)613 1029 y Fl(0)685 1065 y
18420 Fw(in)f(pro)s(cess)h(8)g(\(not)f(pro)s(cess)i(124,)e(whic)m(h)h(is)f
18421 (lengthier\))f(migh)m(t)h(lo)s(ok)f(lik)m(e)51 1173 y
18422 Fq(I)52 b(K\(I,1\))155 b(K\(I,2\))53 b(K\(I,3\))85 b
18423 Fw(commen)m(t)51 1282 y Fq(1)257 b(21)g(2212)308 b(0)84
18424 b Fw(\014rst)33 b(incoming)e(p)51 1390 y Fq(2)257 b(21)g(2212)308
18425 b(0)84 b Fw(second)34 b(incoming)d(p)0 1498 y Fq
18426 (=========================)51 1607 y(3)257 b(21)411 b(2)307
18427 b(1)84 b Fw(u)33 b(pic)m(k)m(ed)h(from)d(\014rst)i(p)51
18428 1715 y Fq(4)257 b(21)359 b(21)308 b(2)84 b Fw(g)34 b(pic)m(k)m(ed)g
18429 (from)d(second)j(p)51 1823 y Fq(5)257 b(21)411 b(2)307
18430 b(3)84 b Fw(still)31 b(u)h(after)h(initial-state)c(radiation)51
18431 1932 y Fq(6)257 b(21)359 b(-4)308 b(4)84 b Fw(g)34 b(ev)m(olv)m(ed)g
18432 (to)p 1914 1879 44 4 v 32 w(c)51 2040 y Fq(7)257 b(21)359
18433 b(24)308 b(5)84 b Fw(space-lik)m(e)33 b(W)1906 2004 y
18434 Fl(+)1998 2040 y Fw(emitted)f(b)m(y)h(u)g(quark)51 2148
18435 y Fq(8)257 b(21)308 b(-24)g(6)84 b Fw(space-lik)m(e)33
18436 b(W)1906 2112 y Fk(\000)1998 2148 y Fw(emitted)f(b)m(y)p
18437 2491 2096 V 33 w(c)h(quark)51 2257 y Fq(9)257 b(21)359
18438 b(25)308 b(0)84 b Fw(Higgs)32 b(pro)s(duced)i(b)m(y)f(W)2296
18439 2221 y Fl(+)2356 2257 y Fw(W)2457 2221 y Fk(\000)2549
18440 2257 y Fw(fusion)0 2365 y Fq(10)257 b(21)411 b(1)307
18441 b(5)84 b Fw(u)33 b(turned)g(in)m(to)f(d)h(b)m(y)g(emission)f(of)g(W)
18442 2790 2329 y Fl(+)0 2473 y Fq(11)257 b(21)359 b(-3)308
18443 b(6)p 1365 2421 V 84 w Fw(c)33 b(turned)h(in)m(to)p 1953
18444 2421 39 4 v 31 w(s)f(b)m(y)h(emission)d(of)h(W)2763 2437
18445 y Fk(\000)0 2582 y Fq(12)257 b(21)359 b(23)308 b(9)84
18446 b Fw(\014rst)33 b(Z)1626 2546 y Fl(0)1698 2582 y Fw(coming)e(from)g
18447 (deca)m(y)j(of)e(H)2719 2546 y Fl(0)0 2690 y Fq(13)257
18448 b(21)359 b(23)308 b(9)84 b Fw(second)34 b(Z)1740 2654
18449 y Fl(0)1812 2690 y Fw(coming)d(from)g(deca)m(y)j(of)e(H)2833
18450 2654 y Fl(0)0 2798 y Fq(14)257 b(21)359 b(12)257 b(12)84
18451 b Fj(\027)1413 2813 y Fl(e)1482 2798 y Fw(from)31 b(\014rst)i(Z)1973
18452 2762 y Fl(0)2045 2798 y Fw(deca)m(y)0 2907 y Fq(15)257
18453 b(21)308 b(-12)257 b(12)p 1365 2854 55 4 v 84 w Fj(\027)1420
18454 2922 y Fl(e)1488 2907 y Fw(from)31 b(\014rst)i(Z)1979
18455 2871 y Fl(0)2051 2907 y Fw(deca)m(y)0 3015 y Fq(16)257
18456 b(21)411 b(5)256 b(13)84 b Fw(b)33 b(quark)h(from)d(second)j(Z)2334
18457 2979 y Fl(0)2405 3015 y Fw(deca)m(y)0 3123 y Fq(17)257
18458 b(21)359 b(-5)257 b(13)p 1365 3044 V 84 w Fw(b)33 b(an)m(tiquark)g
18459 (from)e(second)j(Z)2499 3087 y Fl(0)2571 3123 y Fw(deca)m(y)0
18460 3232 y Fq(=========================)146 3340 y Fw(After)49
18461 b(these)g(lines)e(with)h(the)g(initial)d(information,)j(the)h(ev)m(en)m
18462 (t)h(record)f(lo)s(oks)e(the)h(same)g(as)0 3448 y(for)39
18463 b Fq(MSTP\(125\)=0)p Fw(,)44 b(i.e.)64 b(\014rst)40 b(comes)g(the)g
18464 (parton)f(con\014guration)g(to)g(b)s(e)h(fragmen)m(ted)f(and,)j(after)0
18465 3557 y(another)e(separator)g(line)e(`)p Fq(======)p Fw(')j(in)e(the)i
18466 (output)e(\(but)h(not)g(the)g(ev)m(en)m(t)i(record\),)g(the)e(pro)s
18467 (ducts)0 3665 y(of)35 b(subsequen)m(t)k(fragmen)m(tation)34
18468 b(and)i(deca)m(y)h(c)m(hains.)54 b(The)37 b Fq(K\(I,3\))g
18469 Fw(p)s(oin)m(ters)f(for)f(the)h(partons,)h(as)0 3774
18470 y(w)m(ell)d(as)h(leptons)g(and)h(photons)f(pro)s(duced)h(in)e(the)i
18471 (hard)f(in)m(teraction,)f(are)h(no)m(w)h(p)s(oin)m(ting)d(to)m(w)m
18472 (ards)0 3882 y(the)k(do)s(cumen)m(tation)f(lines)h(ab)s(o)m(v)m(e,)i
18473 (ho)m(w)m(ev)m(er.)59 b(In)37 b(particular,)g(b)s(eam)f(remnan)m(ts)h
18474 (p)s(oin)m(t)g(to)f(1)h(or)g(2,)0 3990 y(dep)s(ending)f(on)f(whic)m(h)h
18475 (side)g(they)g(b)s(elong)f(to,)g(and)h(partons)g(emitted)e(in)h(the)h
18476 (initial-state)c(parton)0 4099 y(sho)m(w)m(ers)43 b(p)s(oin)m(t)d(to)g
18477 (3)g(or)g(4.)68 b(In)40 b(the)i(second)f(example)f(ab)s(o)m(v)m(e,)k
18478 (the)d(partons)g(pro)s(duced)g(b)m(y)h(\014nal-)0 4207
18479 y(state)34 b(radiation)e(will)f(b)s(e)k(p)s(oin)m(ting)d(bac)m(k)i(to)g
18480 (7)g(and)g(8;)g(as)g(usual,)g(it)f(should)h(b)s(e)g(remem)m(b)s(ered)g
18481 (that)0 4315 y(a)41 b(sp)s(eci\014c)h(assignmen)m(t)f(to)f(7)h(or)g(8)g
18482 (need)h(not)f(b)s(e)g(unique.)70 b(F)-8 b(or)40 b(the)i(third)e
18483 (example,)j(\014nal-state)0 4424 y(radiation)37 b(partons)i(will)d
18484 (come)j(b)s(oth)g(from)e(partons)j(10)e(and)h(11)g(and)g(from)e
18485 (partons)i(16)g(and)g(17,)0 4532 y(and)f(additionally)d(there)j(will)e
18486 (b)s(e)i(a)g(neutrino{an)m(tineutrino)e(pair)h(p)s(oin)m(ting)f(to)i
18487 (14)f(and)h(15.)60 b(The)0 4640 y(extra)39 b(pairs)f(of)g(partons)g
18488 (that)g(are)h(generated)g(b)m(y)g(m)m(ultiple)d(in)m(teractions)i(do)h
18489 (not)f(p)s(oin)m(t)f(bac)m(k)j(to)0 4749 y(an)m(ything,)33
18490 b(i.e.)43 b(they)33 b(ha)m(v)m(e)h Fq(K\(I,3\)=0)p Fw(.)146
18491 4857 y(There)h(exists)e(a)g(third)f(do)s(cumen)m(tation)g(option,)h
18492 Fq(MSTP\(125\)=2)p Fw(.)47 b(Here)34 b(the)f(history)g(of)g(initial-)0
18493 4965 y(and)27 b(\014nal-state)f(parton)h(branc)m(hings)g(ma)m(y)g(b)s
18494 (e)g(traced,)i(including)c(all)g(details)h(on)h(colour)f(\015o)m(w.)42
18495 b(This)0 5074 y(information)25 b(has)k(not)g(b)s(een)g(optimized)e(for)
18496 h(user-friendliness,)h(and)g(cannot)f(b)s(e)h(recommended)g(for)0
18497 5182 y(general)34 b(usage.)50 b(With)33 b(this)i(option,)e(the)i
18498 (initial)c(do)s(cumen)m(tation)j(lines)f(are)i(the)g(same.)49
18499 b(They)35 b(are)0 5290 y(follo)m(w)m(ed)h(b)m(y)i(blank)e(lines,)i
18500 Fq(K\(I,1\)=0)p Fw(,)i(up)d(to)g(line)e(20)i(\(can)g(b)s(e)g(c)m
18501 (hanged)h(in)e Fq(MSTP\(126\))p Fw(\).)59 b(F)-8 b(rom)0
18502 5399 y(line)37 b(21)h(on)m(w)m(ards)i(eac)m(h)g(parton)e(with)g
18503 Fq(K\(I,1\)=)j Fw(3,)f(13)e(or)g(14)g(app)s(ears)h(with)g(sp)s(ecial)e
18504 (colour-\015o)m(w)0 5507 y(information)32 b(in)j(the)h
18505 Fq(K\(I,4\))h Fw(and)e Fq(K\(I,5\))i Fw(p)s(ositions.)51
18506 b(F)-8 b(or)34 b(an)i(ordinary)f(2)d Fn(!)g Fw(2)j(scattering,)h(the)0
18507 5615 y(t)m(w)m(o)i(incoming)e(partons)h(at)h(the)g(hard)f(scattering)h
18508 (are)f(stored)h(in)f(lines)g(21)g(and)h(22,)g(and)g(the)g(t)m(w)m(o)
18509 1841 5953 y(63)p eop
18510 %%Page: 64 70
18511 64 69 bop 0 -18 a Fw(outgoing)20 b(in)i(23)f(and)h(24.)40
18512 b(The)23 b(colour)e(\015o)m(w)h(b)s(et)m(w)m(een)i(these)g(partons)e
18513 (has)g(to)g(b)s(e)g(c)m(hosen)h(according)f(to)0 90 y(the)31
18514 b(prop)s(er)g(relativ)m(e)g(probabilities)d(in)i(cases)j(when)f(man)m
18515 (y)f(alternativ)m(es)f(are)h(p)s(ossible,)g(see)h(section)0
18516 198 y(8.2.1.)41 b(If)27 b(there)h(is)e(initial-state)e(radiation,)i
18517 (the)h(t)m(w)m(o)h(partons)f(in)f(lines)g(21)h(and)g(22)g(are)g(copied)
18518 g(do)m(wn)0 307 y(to)k(lines)g(25)f(and)i(26,)f(from)f(whic)m(h)i(the)g
18519 (initial-state)c(sho)m(w)m(ers)33 b(are)f(reconstructed)h(bac)m(kw)m
18520 (ards)h(step)0 415 y(b)m(y)43 b(step.)72 b(The)42 b(branc)m(hing)g
18521 (history)g(ma)m(y)f(b)s(e)h(read)g(b)m(y)h(noting)d(that,)k(for)d(a)h
18522 (branc)m(hing)g Fj(a)h Fn(!)g Fj(bc)p Fw(,)0 523 y(the)38
18523 b Fq(K\(I,3\))g Fw(co)s(des)h(of)d Fj(b)i Fw(and)f Fj(c)h
18524 Fw(p)s(oin)m(t)e(to)m(w)m(ards)i(the)g(line)e(n)m(um)m(b)s(er)h(of)g
18525 Fj(a)p Fw(.)58 b(Since)37 b(the)h(sho)m(w)m(ers)h(are)0
18526 632 y(reconstructed)g(bac)m(kw)m(ards,)j(this)37 b(actually)f(means)i
18527 (that)f(parton)g Fj(b)h Fw(w)m(ould)g(app)s(ear)f(in)g(the)h(listing)0
18528 740 y(b)s(efore)43 b(parton)f Fj(a)g Fw(and)h Fj(c)p
18529 Fw(,)i(and)d(hence)i(ha)m(v)m(e)g(a)e(p)s(oin)m(ter)g(to)g(a)g(p)s
18530 (osition)f(b)s(elo)m(w)h(itself)f(in)h(the)h(list.)0
18531 848 y(Asso)s(ciated)49 b(time-lik)m(e)d(partons)j Fj(c)g
18532 Fw(ma)m(y)f(initiate)e(time-lik)m(e)g(sho)m(w)m(ers,)55
18533 b(as)49 b(ma)m(y)g(the)g(partons)g(of)0 957 y(the)42
18534 b(hard)f(scattering.)68 b(Again)40 b(a)h(sho)m(w)m(ering)h(parton)f(or)
18535 g(pair)f(of)g(partons)i(will)c(b)s(e)k(copied)f(do)m(wn)0
18536 1065 y(to)m(w)m(ards)f(the)g(end)f(of)g(the)g(list)f(and)h(allo)m(w)m
18537 (ed)f(to)h(undergo)g(successiv)m(e)j(branc)m(hings)d
18538 Fj(c)g Fn(!)f Fj(de)p Fw(,)j(with)0 1173 y Fj(d)34 b
18539 Fw(and)h Fj(e)f Fw(p)s(oin)m(ting)f(to)m(w)m(ards)j Fj(c)p
18540 Fw(.)49 b(The)36 b(mass)e(of)g(time-lik)m(e)e(partons)j(is)f(prop)s
18541 (erly)g(stored)h(in)f Fq(P\(I,5\))p Fw(;)0 1290 y(for)41
18542 b(space-lik)m(e)h(partons)h Fn(\000)1047 1209 y(p)p 1130
18543 1209 203 4 v 81 x(\000)p Fj(m)1292 1262 y Fl(2)1374 1290
18544 y Fw(is)f(stored)g(instead.)72 b(After)42 b(this)g(section,)j(con)m
18545 (taining)40 b(all)g(the)0 1399 y(branc)m(hings,)29 b(comes)f(the)g
18546 (\014nal)e(parton)h(con\014guration,)h(prop)s(erly)f(arranged)h(in)e
18547 (colour,)i(follo)m(w)m(ed)f(b)m(y)0 1507 y(all)j(subsequen)m(t)36
18548 b(fragmen)m(tation)31 b(and)h(deca)m(y)i(pro)s(ducts,)g(as)f(usual.)0
18549 1781 y Fp(5.4)135 b(The)45 b(HEPEVT)f(Standard)0 1954
18550 y Fw(A)34 b(set)h(of)f(common)f(blo)s(c)m(ks)h(w)m(as)i(dev)m(elop)s
18551 (ed)f(and)f(agreed)h(on)f(within)f(the)i(framew)m(ork)f(of)g(the)g
18552 (1989)0 2062 y(LEP)41 b(ph)m(ysics)h(study)-8 b(,)43
18553 b(see)f([Sj\177)-49 b(o89)o(].)67 b(This)40 b(standard)h(de\014nes)h
18554 (an)e(ev)m(en)m(t)j(record)d(structure)i(whic)m(h)0 2170
18555 y(should)32 b(mak)m(e)h(the)g(in)m(terfacing)e(of)i(di\013eren)m(t)f
18556 (ev)m(en)m(t)j(generators)e(m)m(uc)m(h)g(simpler.)146
18557 2279 y(It)43 b(w)m(ould)g(b)s(e)f(a)h(ma)5 b(jor)41 b(w)m(ork)j(to)e
18558 (rewrite)h Fm(Pythia/Jetset)f Fw(to)g(agree)h(with)f(this)g(standard)0
18559 2387 y(ev)m(en)m(t)35 b(record)e(structure.)45 b(More)33
18560 b(imp)s(ortan)m(tly)-8 b(,)31 b(the)i(standard)g(only)g(co)m(v)m(ers)h
18561 (quan)m(tities)f(whic)m(h)g(can)0 2495 y(b)s(e)42 b(de\014ned)h(unam)m
18562 (biguously)-8 b(,)43 b(i.e.)70 b(whic)m(h)42 b(are)g(indep)s(enden)m(t)
18563 h(of)e(the)h(particular)e(program)g(used.)0 2604 y(There)k(are)e(th)m
18564 (us)i(no)e(pro)m(visions)h(for)f(the)h(need)g(for)f(colour-\015o)m(w)g
18565 (information)d(in)j(mo)s(dels)g(based)0 2712 y(on)35
18566 b(string)g(fragmen)m(tation,)g(etc.,)i(so)f(the)g(standard)g(common)e
18567 (blo)s(c)m(ks)i(w)m(ould)g(an)m(yw)m(a)m(y)h(ha)m(v)m(e)g(to)e(b)s(e)0
18568 2820 y(supplemen)m(ted)d(with)e(additional)d(ev)m(en)m(t)33
18569 b(information.)39 b(F)-8 b(or)30 b(the)h(momen)m(t,)f(the)h(adopted)g
18570 (approac)m(h)0 2929 y(is)40 b(therefore)g(to)g(retain)f(the)i
18571 Fq(LUJETS)g Fw(ev)m(en)m(t)h(record,)h(but)d(supply)h(a)f(routine)f
18572 Fq(LUHEPC)j Fw(whic)m(h)e(can)0 3037 y(con)m(v)m(ert)j(to)e(or)g(from)g
18573 (the)h(standard)f(ev)m(en)m(t)j(record.)71 b(Owing)40
18574 b(to)i(a)f(somewhat)g(di\013eren)m(t)h(con)m(ten)m(t)0
18575 3146 y(in)37 b(the)g(t)m(w)m(o)i(records,)g(some)e(am)m(biguities)e(do)
18576 j(exist)f(in)g(the)h(translation)d(pro)s(cedure.)59 b
18577 Fq(LUHEPC)39 b Fw(has)0 3254 y(therefore)33 b(to)f(b)s(e)h(used)h(with)
18578 e(some)h(judgmen)m(t.)146 3362 y(In)j(this)e(section,)i(the)f(new)h
18579 (standard)f(ev)m(en)m(t)i(structure)f(is)f(\014rst)g(presen)m(ted,)j
18580 (i.e.)50 b(the)35 b(most)g(im-)0 3471 y(p)s(ortan)m(t)25
18581 b(p)s(oin)m(ts)h(in)f([Sj\177)-49 b(o89)o(])26 b(are)g(recapitulated.)
18582 40 b(Thereafter)27 b(the)f(con)m(v)m(ersion)h(routine)e(is)h(describ)s
18583 (ed,)0 3579 y(with)32 b(particular)f(atten)m(tion)h(to)g(am)m
18584 (biguities)e(and)j(limitations.)146 3687 y(The)41 b(standard)f(ev)m(en)
18585 m(t)i(record)e(is)f(stored)i(in)e(t)m(w)m(o)h(common)f(blo)s(c)m(ks.)65
18586 b(The)41 b(second)g(of)e(these)i(is)0 3796 y(sp)s(eci\014cally)35
18587 b(in)m(tended)i(for)f(spin)g(information.)52 b(Since)36
18588 b Fm(Jetset)g Fw(nev)m(er)h(\(explicitly\))e(mak)m(es)i(use)g(of)0
18589 3904 y(spin)31 b(information,)d(this)j(latter)g(common)e(blo)s(c)m(k)i
18590 (is)g(not)g(addressed)i(here.)44 b(A)31 b(third)g(common)f(blo)s(c)m(k)
18591 0 4012 y(for)i(colour)g(\015o)m(w)h(information)c(has)k(b)s(een)h
18592 (discussed,)g(but)f(nev)m(er)h(formalized.)146 4121 y(In)40
18593 b(order)f(to)g(mak)m(e)g(the)h(comp)s(onen)m(ts)g(of)e(the)i(standard)g
18594 (more)e(distinguishable)g(in)g(user)i(pro-)0 4229 y(grams,)30
18595 b(the)i(three)f(c)m(haracters)h Fq(HEP)g Fw(\(for)e(High)g(Energy)i(Ph)
18596 m(ysics\))g(ha)m(v)m(e)g(b)s(een)g(c)m(hosen)g(to)e(b)s(e)h(a)g(part)0
18597 4337 y(of)h(all)f(names.)146 4446 y(Originally)39 b(it)i(w)m(as)j(not)e
18598 (sp)s(eci\014ed)h(whether)h(real)d(v)-5 b(ariables)41
18599 b(should)h(b)s(e)h(in)e(single)h(or)g(double)0 4554 y(precision.)61
18600 b(A)m(t)39 b(the)g(time,)f(this)g(mean)m(t)h(that)f(single)g(precision)
18601 f(b)s(ecame)i(the)g(default)f(c)m(hoice,)i(but)0 4662
18602 y(since)35 b(then)g(the)g(trend)f(has)h(b)s(een)g(to)m(w)m(ards)h
18603 (increasing)d(precision.)48 b(In)35 b(connection)g(with)f(the)g(1995)0
18604 4771 y(LEP)40 b(2)e(w)m(orkshop,)k(it)c(w)m(as)i(therefore)g(agreed)f
18605 (to)g(adopt)f Fq(DOUBLE)53 b(PRECISION)42 b Fw(real)c(v)-5
18606 b(ariables)37 b(as)0 4879 y(part)32 b(of)g(the)h(standard.)p
18607 0 5023 3440 9 v 0 5598 9 576 v 130 5170 a Fq(PARAMETER)54
18608 b(\(NMXHEP=2000\))130 5278 y(COMMON/HEPEVT/NEVHEP,NH)q(EP,I)q(STHE)q
18609 (P\(NM)q(XHE)q(P\),I)q(DHEP)q(\(NMX)q(HEP)q(\),)79 5387
18610 y(&JMOHEP\(2,NMXHEP\),JDAHEP)q(\(2,N)q(MXHE)q(P\),P)q(HEP)q(\(5,N)q
18611 (MXHE)q(P\),V)q(HEP)q(\(4,N)q(MXHE)q(P\))130 5495 y(DOUBLE)f(PRECISION)
18612 h(PHEP,)f(VHEP)p 3431 5598 V 0 5606 3440 9 v 1841 5953
18613 a Fw(64)p eop
18614 %%Page: 65 71
18615 65 70 bop 0 -18 a Fo(Purp)s(ose:)48 b Fw(to)32 b(con)m(tain)g(an)h(ev)m
18616 (en)m(t)h(record)f(in)f(a)g(Mon)m(te)i(Carlo-indep)s(enden)m(t)e
18617 (format.)0 90 y Fq(NMXHEP:)115 b Fw(maxim)m(um)44 b(n)m(um)m(b)s(ers)j
18618 (of)e(en)m(tries)i(\(partons/particles\))e(that)h(can)g(b)s(e)g(stored)
18619 h(in)e(the)472 198 y(common)35 b(blo)s(c)m(k.)55 b(The)37
18620 b(default)f(v)-5 b(alue)36 b(of)g(2000)f(can)i(b)s(e)f(c)m(hanged)i
18621 (via)d(the)i(parameter)472 307 y(construction.)44 b(In)33
18622 b(the)g(translation,)e(it)g(is)h(c)m(hec)m(k)m(ed)k(that)d(this)f(v)-5
18623 b(alue)32 b(is)g(not)g(exceeded.)0 415 y Fq(NEVHEP:)115
18624 b Fw(is)39 b(normally)e(the)j(ev)m(en)m(t)h(n)m(um)m(b)s(er,)h(but)e
18625 (ma)m(y)f(ha)m(v)m(e)h(sp)s(ecial)f(meanings,)h(according)f(to)472
18626 523 y(the)33 b(description)g(b)s(elo)m(w:)236 632 y Fq(>)52
18627 b(0)f(:)217 b Fw(ev)m(en)m(t)30 b(n)m(um)m(b)s(er,)g(sequen)m(tially)f
18628 (increased)g(b)m(y)g(1)g(for)f(eac)m(h)h(call)e(to)i(the)g(main)e(ev)m
18629 (en)m(t)709 740 y(generation)32 b(routine,)g(starting)f(with)i(1)f(for)
18630 g(the)h(\014rst)g(ev)m(en)m(t)h(generated.)236 848 y
18631 Fq(=)52 b(0)f(:)217 b Fw(for)32 b(a)g(program)f(whic)m(h)i(do)s(es)g
18632 (not)g(k)m(eep)h(trac)m(k)f(of)f(ev)m(en)m(t)j(n)m(um)m(b)s(ers,)e(as)g
18633 Fm(Jetset)p Fw(.)236 957 y Fq(=)52 b(-1)g(:)165 b Fw(sp)s(ecial)31
18634 b(initialization)c(record;)33 b(not)g(used)h(b)m(y)g
18635 Fm(Jetset)p Fw(.)236 1065 y Fq(=)52 b(-2)g(:)165 b Fw(sp)s(ecial)31
18636 b(\014nal)h(record;)h(not)g(used)g(b)m(y)i Fm(Jetset)p
18637 Fw(.)0 1173 y Fq(NHEP:)217 b Fw(the)25 b(actual)f(n)m(um)m(b)s(er)h(of)
18638 f(en)m(tries)h(stored)g(in)e(the)i(curren)m(t)h(ev)m(en)m(t.)42
18639 b(These)26 b(are)f(found)f(in)g(the)472 1282 y(\014rst)j
18640 Fq(NHEP)h Fw(p)s(ositions)d(of)h(the)g(resp)s(ectiv)m(e)i(arra)m(ys)f
18641 (b)s(elo)m(w.)41 b(Index)28 b Fq(IHEP)p Fw(,)g(1)p Fn(\024)p
18642 Fq(IHEP)p Fn(\024)p Fq(NHEP)p Fw(,)472 1390 y(is)33 b(used)g(b)s(elo)m
18643 (w)g(to)f(denote)h(a)g(giv)m(en)f(en)m(try)-8 b(.)0 1498
18644 y Fq(ISTHEP\(IHEP\):)51 b Fw(status)33 b(co)s(de)g(for)f(en)m(try)j
18645 Fq(IHEP)p Fw(,)f(with)e(the)h(follo)m(wing)d(meanings:)236
18646 1607 y Fq(=)52 b(0)f(:)217 b Fw(n)m(ull)31 b(en)m(try)-8
18647 b(.)236 1715 y Fq(=)52 b(1)f(:)217 b Fw(an)27 b(existing)g(en)m(try)-8
18648 b(,)29 b(whic)m(h)f(has)g(not)f(deca)m(y)m(ed)i(or)e(fragmen)m(ted.)42
18649 b(This)28 b(is)e(the)i(main)709 1823 y(class)j(of)g(en)m(tries,)i(whic)
18650 m(h)f(represen)m(ts)i(the)e(`\014nal)f(state')h(giv)m(en)g(b)m(y)g(the)
18651 g(generator.)236 1932 y Fq(=)52 b(2)f(:)217 b Fw(an)27
18652 b(en)m(try)h(whic)m(h)g(has)g(deca)m(y)m(ed)i(or)d(fragmen)m(ted)g(and)
18653 g(is)g(therefore)h(not)g(app)s(earing)709 2040 y(in)j(the)i(\014nal)f
18654 (state,)h(but)g(is)f(retained)h(for)f(ev)m(en)m(t)i(history)f
18655 (information.)236 2148 y Fq(=)52 b(3)f(:)217 b Fw(a)42
18656 b(do)s(cumen)m(tation)f(line,)i(de\014ned)h(separately)e(from)f(the)h
18657 (ev)m(en)m(t)i(history)-8 b(.)72 b(This)709 2257 y(could)32
18658 b(include)g(the)h(t)m(w)m(o)g(incoming)d(reacting)i(particles,)g(etc.)
18659 236 2365 y Fq(=)52 b(4)f(-)h(10)g(:)47 b Fw(unde\014ned,)35
18660 b(but)d(reserv)m(ed)j(for)d(future)h(standards.)236 2473
18661 y Fq(=)52 b(11)g(-)f(200)h(:)c Fw(at)39 b(the)h(disp)s(osal)e(of)h(eac)
18662 m(h)h(mo)s(del)e(builder)h(for)f(constructs)j(sp)s(eci\014c)g(to)e(his)
18663 709 2582 y(program,)23 b(but)g(equiv)-5 b(alen)m(t)22
18664 b(to)g(a)g(n)m(ull)f(line)h(in)f(the)i(con)m(text)h(of)e(an)m(y)h
18665 (other)g(program.)236 2690 y Fq(=)52 b(201)g(-)f(:)d
18666 Fw(at)31 b(the)h(disp)s(osal)e(of)h(users,)i(in)e(particular)f(for)g
18667 (ev)m(en)m(t)k(trac)m(king)d(in)g(the)h(detector.)0 2798
18668 y Fq(IDHEP\(IHEP\))54 b(:)48 b Fw(particle)38 b(iden)m(tit)m(y)-8
18669 b(,)42 b(according)d(to)g(the)h(PDG)g(standard.)65 b(The)41
18670 b(four)e(additional)472 2907 y(co)s(des)34 b(91{94)d(ha)m(v)m(e)i(b)s
18671 (een)g(in)m(tro)s(duced)g(to)f(mak)m(e)g(the)h(ev)m(en)m(t)h(history)e
18672 (more)g(legible,)e(see)472 3015 y(section)j(5.1)f(and)h(the)g
18673 Fq(MSTU\(16\))i Fw(description.)0 3123 y Fq(JMOHEP\(1,IHEP\))55
18674 b(:)48 b Fw(p)s(oin)m(ter)28 b(to)g(the)h(p)s(osition)e(where)j(the)g
18675 (mother)e(is)g(stored.)43 b(The)30 b(v)-5 b(alue)28 b(is)g(0)h(for)472
18676 3232 y(initial)g(en)m(tries.)0 3340 y Fq(JMOHEP\(2,IHEP\))55
18677 b(:)48 b Fw(p)s(oin)m(ter)e(to)h(p)s(osition)e(of)i(second)h(mother.)87
18678 b(Normally)45 b(only)i(one)g(mother)472 3448 y(exists,)55
18679 b(in)50 b(whic)m(h)g(case)h(the)f(v)-5 b(alue)49 b(0)h(is)f(to)h(b)s(e)
18680 g(used.)96 b(In)50 b Fm(Jetset)p Fw(,)j(en)m(tries)e(with)472
18681 3557 y(co)s(des)60 b(91{94)d(are)i(the)f(only)g(ones)i(to)e(ha)m(v)m(e)
18682 i(t)m(w)m(o)f(mothers.)121 b(The)59 b(\015a)m(v)m(our)h(con-)472
18683 3665 y(ten)m(ts)46 b(of)e(these)i(ob)5 b(jects,)48 b(as)d(w)m(ell)f(as)
18684 g(details)g(of)g(momen)m(tum)f(sharing,)j(ha)m(v)m(e)g(to)e(b)s(e)472
18685 3774 y(found)i(b)m(y)h(lo)s(oking)d(at)h(the)h(mother)g(partons,)j
18686 (i.e.)83 b(the)46 b(t)m(w)m(o)h(partons)f(in)f(p)s(ositions)472
18687 3882 y Fq(JMOHEP\(1,IHEP\))c Fw(and)c Fq(JMOHEP\(2,IHEP\))j
18688 Fw(for)c(a)h(cluster)g(or)f(a)h(sho)m(w)m(er)h(system,)h(and)472
18689 3990 y(the)k(range)f Fq(JMOHEP\(1,IHEP\))p Fw({)p Fq(JMOHEP\(2,IHEP)q
18690 (\))48 b Fw(for)41 b(a)h(string)f(or)g(an)h(indep)s(enden)m(t)472
18691 4099 y(fragmen)m(tation)31 b(parton)h(system.)0 4207
18692 y Fq(JDAHEP\(1,IHEP\))55 b(:)48 b Fw(p)s(oin)m(ter)d(to)g(the)i(p)s
18693 (osition)d(of)h(the)i(\014rst)f(daugh)m(ter.)84 b(If)46
18694 b(an)g(en)m(try)h(has)g(not)472 4315 y(deca)m(y)m(ed,)35
18695 b(this)e(is)f(0.)0 4424 y Fq(JDAHEP\(2,IHEP\))55 b(:)48
18696 b Fw(p)s(oin)m(ter)e(to)h(the)g(p)s(osition)f(of)g(the)i(last)e(daugh)m
18697 (ter.)88 b(If)47 b(an)g(en)m(try)h(has)g(not)472 4532
18698 y(deca)m(y)m(ed,)h(this)43 b(is)g(0.)75 b(It)44 b(is)f(assumed)h(that)f
18699 (daugh)m(ters)h(are)g(stored)f(sequen)m(tially)-8 b(,)46
18700 b(so)472 4640 y(that)40 b(the)h(whole)e(range)h Fq(JDAHEP\(1,IHEP\))p
18701 Fw({)p Fq(JDAHEP\(2,IH)q(EP\))46 b Fw(con)m(tains)40
18702 b(daugh)m(ters.)472 4749 y(This)49 b(v)-5 b(ariable)46
18703 b(should)i(b)s(e)g(set)h(also)e(when)j(only)d(one)i(daugh)m(ter)f(is)g
18704 (presen)m(t,)54 b(as)48 b(in)472 4857 y(K)548 4821 y
18705 Fl(0)615 4857 y Fn(!)28 b Fw(K)819 4821 y Fl(0)819 4882
18706 y(S)892 4857 y Fw(deca)m(ys,)33 b(so)d(that)g(lo)s(oping)e(from)h(the)h
18707 (\014rst)h(daugh)m(ter)g(to)f(the)g(last)g(one)g(w)m(orks)472
18708 4965 y(transparen)m(tly)-8 b(.)43 b(Normally)28 b(daugh)m(ters)i(are)g
18709 (stored)h(after)e(mothers,)h(but)g(in)f(bac)m(kw)m(ards)472
18710 5074 y(ev)m(olution)j(of)g(initial-state)c(radiation)i(the)j(opp)s
18711 (osite)e(ma)m(y)h(app)s(ear,)h(i.e.)43 b(that)32 b(mothers)472
18712 5182 y(are)e(found)f(b)s(elo)m(w)h(the)f(daugh)m(ters)i(they)f(branc)m
18713 (h)g(in)m(to.)42 b(Also,)30 b(the)f(t)m(w)m(o)h(daugh)m(ters)h(then)472
18714 5290 y(need)e(not)e(app)s(ear)h(one)g(after)f(the)h(other,)h(but)e(ma)m
18715 (y)h(b)s(e)f(separated)i(in)e(the)h(ev)m(en)m(t)h(record.)0
18716 5399 y Fq(PHEP\(1,IHEP\))54 b(:)48 b Fw(momen)m(tum)31
18717 b(in)h(the)h Fj(x)g Fw(direction,)e(in)h(GeV/)p Fj(c)p
18718 Fw(.)0 5507 y Fq(PHEP\(2,IHEP\))54 b(:)48 b Fw(momen)m(tum)31
18719 b(in)h(the)h Fj(y)j Fw(direction,)31 b(in)h(GeV/)p Fj(c)p
18720 Fw(.)0 5615 y Fq(PHEP\(3,IHEP\))54 b(:)48 b Fw(momen)m(tum)31
18721 b(in)h(the)h Fj(z)k Fw(direction,)32 b(in)g(GeV/)p Fj(c)p
18722 Fw(.)1841 5953 y(65)p eop
18723 %%Page: 66 72
18724 66 71 bop 0 -18 a Fq(PHEP\(4,IHEP\))54 b(:)48 b Fw(energy)-8
18725 b(,)34 b(in)d(GeV.)0 90 y Fq(PHEP\(5,IHEP\))54 b(:)48
18726 b Fw(mass,)31 b(in)g(GeV/)p Fj(c)1427 54 y Fl(2)1466
18727 90 y Fw(.)43 b(F)-8 b(or)30 b(space-lik)m(e)h(partons,)g(it)f(is)h
18728 (allo)m(w)m(ed)f(to)h(use)h(a)e(negativ)m(e)472 213 y(mass,)j
18729 (according)f(to)g Fq(PHEP\(5,IHEP\))p Fw(=)f Fn(\000)2093
18730 131 y(p)p 2177 131 203 4 v 2177 213 a(\000)p Fj(m)2339
18731 184 y Fl(2)2379 213 y Fw(.)0 321 y Fq(VHEP\(1,IHEP\))54
18732 b(:)48 b Fw(pro)s(duction)32 b(v)m(ertex)i Fj(x)f Fw(p)s(osition,)e(in)
18733 h(mm.)0 429 y Fq(VHEP\(2,IHEP\))54 b(:)48 b Fw(pro)s(duction)32
18734 b(v)m(ertex)i Fj(y)i Fw(p)s(osition,)31 b(in)h(mm.)0
18735 538 y Fq(VHEP\(3,IHEP\))54 b(:)48 b Fw(pro)s(duction)32
18736 b(v)m(ertex)i Fj(z)j Fw(p)s(osition,)31 b(in)h(mm.)0
18737 646 y Fq(VHEP\(4,IHEP\))54 b(:)48 b Fw(pro)s(duction)32
18738 b(time,)f(in)h(mm/)p Fj(c)f Fw(\()p Fn(\031)d Fw(3)p
18739 Fj(:)p Fw(33)21 b Fn(\002)i Fw(10)2446 610 y Fk(\000)p
18740 Fl(12)2608 646 y Fw(s\).)146 808 y(This)34 b(completes)g(the)h(brief)e
18741 (description)g(of)h(the)g(standard.)48 b(In)35 b Fm(Jetset)p
18742 Fw(,)e(the)i(routine)e Fq(LUHEPC)0 917 y Fw(is)f(pro)m(vided)h(as)g(an)
18743 f(in)m(terface.)p 0 1061 1082 9 v 0 1280 9 220 v 79 1201
18744 a Fq(CALL)52 b(LUHEPC\(MCONV\))p 1073 1280 V 0 1288 1082
18745 9 v 0 1420 a Fo(Purp)s(ose:)c Fw(to)32 b(con)m(v)m(ert)i(b)s(et)m(w)m
18746 (een)h(the)e Fq(LUJETS)h Fw(ev)m(en)m(t)g(record)f(and)g(the)g
18747 Fq(HEPEVT)h Fw(ev)m(en)m(t)h(record.)0 1529 y Fq(MCONV)53
18748 b(:)113 b Fw(direction)32 b(of)g(con)m(v)m(ersion.)236
18749 1637 y Fq(=)52 b(1)f(:)217 b Fw(translates)34 b(the)g(curren)m(t)h
18750 Fq(LUJETS)h Fw(record)f(in)m(to)e(the)i Fq(HEPEVT)g Fw(one,)g(while)e
18751 (lea)m(ving)709 1745 y(the)g(original)c Fq(LUJETS)34
18752 b Fw(one)f(una\013ected.)236 1854 y Fq(=)52 b(2)f(:)217
18753 b Fw(translates)34 b(the)g(curren)m(t)h Fq(HEPEVT)h Fw(record)f(in)m
18754 (to)e(the)i Fq(LUJETS)g Fw(one,)g(while)e(lea)m(ving)709
18755 1962 y(the)g(original)c Fq(HEPEVT)34 b Fw(one)f(una\013ected.)146
18756 2125 y(The)c(con)m(v)m(ersion)f(of)f(momen)m(ta)g(is)g(trivial:)38
18757 b(it)27 b(is)g(just)h(a)f(matter)f(of)h(exc)m(hanging)h(the)g(order)g
18758 (of)f(the)0 2233 y(indices.)43 b(The)31 b(v)m(ertex)i(information)27
18759 b(is)j(but)h(little)e(more)h(complicated;)f(the)j(extra)f(\014fth)f
18760 (comp)s(onen)m(t)0 2341 y(presen)m(t)k(in)e Fq(LUJETS)i
18761 Fw(can)f(b)s(e)f(easily)g(reconstructed)i(from)e(other)g(information)d
18762 (for)j(particles)g(whic)m(h)0 2450 y(ha)m(v)m(e)i(deca)m(y)m(ed.)45
18763 b(\(Some)32 b(of)g(the)g(adv)-5 b(anced)34 b(features)f(made)e(p)s
18764 (ossible)h(b)m(y)h(this)f(comp)s(onen)m(t,)h(suc)m(h)g(as)0
18765 2558 y(the)c(p)s(ossibilit)m(y)d(to)j(consider)g(deca)m(ys)h(within)d
18766 (expanding)i(spatial)e(v)m(olumes)h(in)g(subsequen)m(t)k
18767 Fq(LUEXEC)0 2666 y Fw(calls,)48 b(cannot)f(b)s(e)f(used)h(if)e(the)i
18768 (record)f(is)g(translated)g(bac)m(k)h(and)f(forth,)k(ho)m(w)m(ev)m
18769 (er.\))86 b(Also,)49 b(the)0 2775 y(particle)29 b(co)s(des)i
18770 Fq(K\(I,2\))g Fw(and)f Fq(IDHEP\(I\))i Fw(are)e(iden)m(tical,)f(since)i
18771 (they)g(are)f(b)s(oth)g(based)h(on)f(the)g(PDG)0 2883
18772 y(co)s(des.)146 2991 y(The)35 b(remaining,)c(non-trivial)f(areas)k
18773 (deal)e(with)h(the)h(status)g(co)s(des)g(and)f(the)h(ev)m(en)m(t)h
18774 (history)-8 b(.)45 b(In)0 3100 y(mo)m(ving)25 b(from)g
18775 Fq(LUJETS)j Fw(to)d Fq(HEPEVT)p Fw(,)j(information)23
18776 b(on)j(colour)f(\015o)m(w)i(is)f(lost.)40 b(On)26 b(the)h(other)f
18777 (hand,)i(the)0 3208 y(p)s(osition)j(of)i(a)g(second)h(mother,)f(if)f
18778 (an)m(y)-8 b(,)34 b(has)f(to)g(b)s(e)g(found;)h(this)e(only)h
18779 (a\013ects)h(lines)e(with)h Fq(K\(I,2\)=)0 3316 y Fw(91{94.)42
18780 b(Also,)30 b(for)f(lines)h(with)f Fq(K\(I,1\)=)j Fw(13)e(or)g(14,)g
18781 (the)h(daugh)m(ter)f(p)s(oin)m(ters)g(ha)m(v)m(e)i(to)e(b)s(e)g(found.)
18782 43 b(By)0 3425 y(and)37 b(large,)g(ho)m(w)m(ev)m(er,)k(the)c
18783 (translation)e(from)h Fq(LUJETS)i Fw(to)f Fq(HEPEVT)h
18784 Fw(should)f(cause)h(little)d(problem,)0 3533 y(and)28
18785 b(there)g(should)f(nev)m(er)j(b)s(e)d(an)m(y)i(need)f(for)f(user)i(in)m
18786 (terv)m(en)m(tion.)42 b(\(W)-8 b(e)28 b(assume)g(that)g
18787 Fm(Jetset)e Fw(is)h(run)0 3641 y(with)32 b(the)h(default)f
18788 Fq(MSTU\(16\)=1)p Fw(,)j(otherwise)e(some)f(discrepancies)h(with)f
18789 (resp)s(ect)i(to)e(the)h(prop)s(osed)0 3750 y(standard)g(ev)m(en)m(t)h
18790 (history)f(description)f(will)e(b)s(e)j(presen)m(t.\))146
18791 3858 y(In)48 b(mo)m(ving)e(from)g Fq(HEPEVT)j Fw(to)e
18792 Fq(LUJETS)p Fw(,)i(information)44 b(on)j(a)g(second)h(mother)f(is)g
18793 (lost.)86 b(An)m(y)0 3966 y(co)s(des)40 b Fq(IDHEP\(I\))i
18794 Fw(not)e(equal)f(to)h(1,)h(2)e(or)h(3)f(are)h(translated)f(in)m(to)g
18795 Fq(K\(I,1\)=0)p Fw(,)44 b(and)39 b(so)h(all)e(en)m(tries)0
18796 4075 y(with)k Fq(K\(I,1\))p Fn(\025)47 b Fw(30)42 b(are)g(e\013ectiv)m
18797 (ely)h(lost)f(in)g(a)g(translation)e(bac)m(k)k(and)e(forth.)73
18798 b(All)41 b(en)m(tries)i(with)0 4183 y Fq(IDHEP\(I\)=2)32
18799 b Fw(are)d(translated)f(in)m(to)h Fq(K\(I,1\)=11)p Fw(,)j(and)d(so)g
18800 (en)m(tries)h(of)f(t)m(yp)s(e)g Fq(K\(I,1\))53 b(=)f(12,)g(13,)g(14)0
18801 4291 y Fw(or)43 b Fq(15)h Fw(are)g(nev)m(er)h(found.)77
18802 b(There)45 b(is)e(th)m(us)i(no)f(colour-\015o)m(w)f(information)d(a)m
18803 (v)-5 b(ailable)41 b(for)i(partons)0 4400 y(whic)m(h)37
18804 b(ha)m(v)m(e)g(fragmen)m(ted.)55 b(F)-8 b(or)35 b(partons)i(with)f
18805 Fq(IDHEP\(I\)=1)p Fw(,)k(i.e.)54 b(whic)m(h)37 b(ha)m(v)m(e)g(not)g
18806 (fragmen)m(ted,)0 4508 y(an)43 b(attempt)g(is)g(made)g(to)f(sub)s
18807 (divide)i(the)f(partonic)g(system)h(in)m(to)f(colour)f(singlets,)j(as)f
18808 (required)0 4616 y(for)36 b(subsequen)m(t)41 b(string)36
18809 b(fragmen)m(tation.)55 b(T)-8 b(o)37 b(this)g(end,)i(it)d(is)g(assumed)
18810 i(that)f(partons)g(are)g(stored)0 4725 y(sequen)m(tially)28
18811 b(along)f(strings.)42 b(Normally)-8 b(,)26 b(a)i(string)g(w)m(ould)g
18812 (then)h(start)f(at)g(a)g(q)h(\()p 2968 4672 52 4 v(q\))f(or)p
18813 3200 4672 V 28 w(q)p 3252 4672 V 1 w(q)g(\(qq\))h(en)m(try)-8
18814 b(,)0 4833 y(co)m(v)m(er)42 b(a)e(n)m(um)m(b)s(er)h(of)f(in)m
18815 (termediate)g(gluons,)i(and)f(end)g(at)f(a)p 2353 4780
18816 V 40 w(q)h(\(q\))g(or)f(qq)i(\()p 2922 4780 V(q)p 2973
18817 4780 V(q)q(\))e(en)m(try)-8 b(.)69 b(P)m(articles)0 4941
18818 y(could)38 b(b)s(e)h(in)m(tersp)s(ersed)h(in)e(this)g(list)f(with)h(no)
18819 g(adv)m(erse)j(e\013ects,)g(i.e.)61 b(a)38 b(u)27 b Fn(\000)f
18820 Fw(g)i Fn(\000)e Fj(\015)31 b Fn(\000)p 3315 4889 55
18821 4 v 27 w Fw(u)39 b(sequence)0 5050 y(w)m(ould)30 b(b)s(e)f(in)m
18822 (terpreted)i(as)f(a)f(u)16 b Fn(\000)g Fw(g)i Fn(\000)p
18823 1428 4997 V 16 w Fw(u)31 b(string)e(plus)g(an)h(additional)c(photon.)43
18824 b(A)30 b(closed)f(gluon)g(lo)s(op)0 5158 y(w)m(ould)41
18825 b(b)s(e)g(assumed)g(to)f(b)s(e)h(made)f(up)h(of)g(a)f(sequen)m(tial)h
18826 (listing)d(of)i(the)h(gluons,)i(with)d(the)h(string)0
18827 5266 y(con)m(tin)m(uing)35 b(from)g(the)h(last)f(gluon)g(up)h(bac)m(k)h
18828 (to)f(the)g(\014rst)h(one.)53 b(Con)m(trary)37 b(to)f(the)g(previous,)h
18829 (op)s(en)0 5375 y(string)c(case,)i(the)f(app)s(earance)g(of)f(an)m(y)h
18830 (particle)e(but)i(a)f(gluon)f(w)m(ould)i(therefore)g(signal)e(the)i
18831 (end)g(of)0 5483 y(the)e(gluon)e(lo)s(op.)42 b(F)-8 b(or)30
18832 b(example,)h(a)g(g)21 b Fn(\000)f Fw(g)h Fn(\000)f Fw(g)h
18833 Fn(\000)f Fw(g)32 b(sequence)i(w)m(ould)e(b)s(e)f(in)m(terpreted)h(as)g
18834 (one)g(single)0 5592 y(four-gluon)k(lo)s(op,)i(while)f(a)g(g)27
18835 b Fn(\000)g Fw(g)f Fn(\000)h Fj(\015)j Fn(\000)d Fw(g)g
18836 Fn(\000)f Fw(g)39 b(sequence)h(w)m(ould)e(b)s(e)g(seen)h(as)f(comp)s
18837 (osed)g(of)g(t)m(w)m(o)1841 5953 y(66)p eop
18838 %%Page: 67 73
18839 67 72 bop 0 -18 a Fw(2-gluon)31 b(systems.)146 90 y(If)36
18840 b(these)i(in)m(terpretations,)e(whic)m(h)h(are)f(not)g(unique,)i(are)e
18841 (not)g(to)g(y)m(our)h(liking,)e(it)g(is)g(up)i(to)f(y)m(ou)0
18842 198 y(to)f(correct)g(them,)g(e.g.)51 b(b)m(y)36 b(using)g
18843 Fq(LUJOIN)g Fw(to)f(tell)e(exactly)j(whic)m(h)f(partons)g(should)g(b)s
18844 (e)g(joined,)g(in)0 307 y(whic)m(h)c(sequence,)j(to)d(giv)m(e)g(a)f
18845 (string.)43 b(Calls)29 b(to)i Fq(LUJOIN)h Fw(\(or)f(the)g(equiv)-5
18846 b(alen)m(t\))31 b(are)f(also)g(necessary)k(if)0 415 y
18847 Fq(LUSHOW)g Fw(is)e(to)g(b)s(e)h(used)h(to)e(ha)m(v)m(e)i(some)e
18848 (partons)h(dev)m(elop)h(a)e(sho)m(w)m(er.)146 523 y(F)-8
18849 b(or)27 b(practical)g(applications,)g(one)h(should)g(note)g(that)f
18850 Fm(Jetset)g Fw(e)2578 487 y Fl(+)2638 523 y Fw(e)2681
18851 487 y Fk(\000)2768 523 y Fw(ev)m(en)m(ts,)k(whic)m(h)d(ha)m(v)m(e)i(b)s
18852 (een)0 632 y(allo)m(w)m(ed)37 b(to)g(sho)m(w)m(er)i(but)e(not)g(to)g
18853 (fragmen)m(t,)h(do)g(ha)m(v)m(e)g(partons)g(arranged)f(in)g(the)g
18854 (order)h(assumed)0 740 y(ab)s(o)m(v)m(e,)26 b(so)e(that)g(a)g
18855 (translation)e(to)h Fq(HEPEVT)i Fw(and)f(bac)m(k)h(do)s(es)f(not)g
18856 (destro)m(y)h(the)f(p)s(ossibilit)m(y)e(to)i(p)s(erform)0
18857 848 y(fragmen)m(tation)34 b(b)m(y)j(a)f(simple)f Fq(LUEXEC)i
18858 Fw(call.)53 b(Also)35 b(the)i(hard)f(in)m(teractions)g(in)f
18859 Fm(Pythia)h Fw(ful\014l)f(this)0 957 y(condition,)c(while)g(problems)g
18860 (ma)m(y)g(app)s(ear)h(in)f(the)i(m)m(ultiple)c(in)m(teraction)i
18861 (scenario,)h(where)h(sev)m(eral)0 1065 y(closed)c(gg)h(lo)s(ops)e(ma)m
18862 (y)g(app)s(ear)h(directly)g(follo)m(wing)d(one)j(another,)h(and)f(th)m
18863 (us)h(w)m(ould)f(b)s(e)g(in)m(terpreted)0 1173 y(as)k(a)f(single)g(m)m
18864 (ultigluon)d(lo)s(op)i(after)h(translation)f(bac)m(k)j(and)e(forth.)
18865 1841 5953 y(67)p eop
18866 %%Page: 68 74
18867 68 73 bop 0 -18 a Ft(6)161 b(Hard)54 b(Pro)t(cesses)e(in)j(JETSET)0
18868 189 y Fm(Jetset)38 b Fw(con)m(tains)h(the)h(sim)m(ulation)c(of)i(t)m(w)
18869 m(o)i(hard)f(pro)s(cesses.)65 b(The)40 b(pro)s(cess)g(of)f(main)e(in)m
18870 (terest)j(is)0 297 y(e)43 261 y Fl(+)102 297 y Fw(e)145
18871 261 y Fk(\000)236 297 y Fn(!)31 b Fj(\015)423 261 y Fk(\003)462
18872 297 y Fj(=)p Fw(Z)571 261 y Fl(0)641 297 y Fn(!)g Fw(q)p
18873 823 244 52 4 v(q)q(.)49 b(Higher-order)34 b(QCD)h(corrections)f(can)h
18874 (b)s(e)g(obtained)f(either)g(with)h(parton)0 405 y(sho)m(w)m(ers)29
18875 b(or)e(with)f(second-order)i(matrix)e(elemen)m(ts.)42
18876 b(The)28 b(details)d(of)i(the)g(parton-sho)m(w)m(er)h(ev)m(olution)0
18877 514 y(are)g(giv)m(en)g(in)g(section)g(10,)g(while)g(this)f(section)i
18878 (con)m(tains)f(the)g(matrix-elemen)m(t)e(description,)j(includ-)0
18879 622 y(ing)j(a)g(summary)g(of)g(the)h Fm(Jetset)f Fw(algorithm)d(for)j
18880 (initial-state)d(photon)k(radiation.)41 b(Also)32 b Fm(Pythia)0
18881 730 y Fw(can)42 b(b)s(e)g(used)i(to)d(sim)m(ulate)g(the)h(pro)s(cess)h
18882 (e)1658 694 y Fl(+)1718 730 y Fw(e)1761 694 y Fk(\000)1864
18883 730 y Fn(!)g Fj(\015)2063 694 y Fk(\003)2102 730 y Fj(=)p
18884 Fw(Z)2211 694 y Fl(0)2294 730 y Fn(!)g Fw(q)p 2488 677
18885 V(q)q(,)h(but)f(without)e(the)i(options)e(of)0 839 y(using)31
18886 b(second-order)h(matrix)d(elemen)m(ts)j(or)e(p)s(olarized)g(incoming)f
18887 (b)s(eams.)42 b(Some)31 b(other)g(di\013erences)0 947
18888 y(b)s(et)m(w)m(een)k(the)e(t)m(w)m(o)g(algorithms)d(are)i(describ)s
18889 (ed.)146 1055 y(The)25 b(other)f(hard)g(pro)s(cess)g(in)f
18890 Fm(Jetset)g Fw(is)g(\007)h(deca)m(y)h(to)e(ggg)h(or)g
18891 Fj(\015)5 b Fw(gg)q(,)25 b(whic)m(h)f(is)g(brie\015y)f(commen)m(ted)0
18892 1164 y(on.)146 1272 y(The)34 b(main)d(sources)j(of)e(information)d(for)
18893 j(this)h(c)m(hapter)g(are)g(refs.)44 b([Sj\177)-49 b(o83)o(,)33
18894 b(Sj\177)-49 b(o86)o(,)33 b(Sj\177)-49 b(o89)o(].)0 1544
18895 y Fp(6.1)135 b(Annihilation)46 b(Ev)l(en)l(ts)g(in)f(the)g(Con)l(tin)l
18896 (uum)0 1716 y Fw(The)39 b(description)f(of)g(e)871 1680
18897 y Fl(+)931 1716 y Fw(e)974 1680 y Fk(\000)1071 1716 y
18898 Fw(annihilation)d(in)m(to)j(hadronic)f(ev)m(en)m(ts)k(in)m(v)m(olv)m
18899 (es)e(a)f(n)m(um)m(b)s(er)h(of)f(comp)s(o-)0 1825 y(nen)m(ts:)j(the)25
18900 b Fj(s)f Fw(dep)s(endence)j(of)d(the)g(total)f(cross)j(section)e(and)h
18901 (\015a)m(v)m(our)g(comp)s(osition,)f(m)m(ultijet)e(matrix)0
18902 1933 y(elemen)m(ts,)30 b(angular)e(orien)m(tation)f(of)i(ev)m(en)m(ts,)
18903 j(initial-state)25 b(photon)30 b(bremsstrahlung)e(and)i(e\013ects)g(of)
18904 0 2041 y(initial-state)f(electron)k(p)s(olarization.)42
18905 b(Man)m(y)34 b(of)f(the)g(published)g(form)m(ulae)f(ha)m(v)m(e)i(b)s
18906 (een)g(deriv)m(ed)g(for)0 2150 y(the)39 b(case)g(of)f(massless)g
18907 (outgoing)f(quarks.)62 b(F)-8 b(or)38 b(eac)m(h)h(of)f(the)g(comp)s
18908 (onen)m(ts)h(describ)s(ed)g(in)f(the)g(fol-)0 2258 y(lo)m(wing,)29
18909 b(w)m(e)j(will)27 b(b)s(egin)j(b)m(y)h(discussing)f(the)h(massless)f
18910 (case,)i(and)e(then)h(commen)m(t)f(on)g(what)g(is)g(done)0
18911 2366 y(to)i(accommo)s(date)f(massiv)m(e)i(quarks.)0 2612
18912 y Fo(6.1.1)112 b(Electro)m(w)m(eak)36 b(cross)i(sections)0
18913 2785 y Fw(In)27 b(the)h(standard)f(theory)-8 b(,)29 b(fermions)d(ha)m
18914 (v)m(e)i(the)g(follo)m(wing)c(couplings)i(\(illustrated)f(here)j(for)f
18915 (the)g(\014rst)0 2893 y(generation\):)918 3085 y Fj(e)963
18916 3100 y Fh(\027)1035 3085 y Fw(=)g(0,)275 b Fj(v)1536
18917 3100 y Fh(\027)1607 3085 y Fw(=)27 b(1,)746 b Fj(a)2583
18918 3100 y Fh(\027)2654 3085 y Fw(=)27 b(1,)918 3205 y Fj(e)963
18919 3220 y Fl(e)1027 3205 y Fw(=)g Fn(\000)p Fw(1,)206 b
18920 Fj(v)1536 3220 y Fl(e)1599 3205 y Fw(=)28 b Fn(\000)p
18921 Fw(1)22 b(+)g(4)17 b(sin)2134 3166 y Fl(2)2174 3205 y
18922 Fj(\022)2219 3220 y Fh(W)2300 3205 y Fw(,)205 b Fj(a)2583
18923 3220 y Fl(e)2646 3205 y Fw(=)28 b Fn(\000)p Fw(1,)918
18924 3326 y Fj(e)963 3341 y Fl(u)1035 3326 y Fw(=)f(2)p Fj(=)p
18925 Fw(3,)177 b Fj(v)1536 3341 y Fl(u)1607 3326 y Fw(=)27
18926 b(1)22 b Fn(\000)h Fw(8)17 b(sin)2066 3286 y Fl(2)2106
18927 3326 y Fj(\022)2151 3341 y Fh(W)2232 3326 y Fj(=)p Fw(3,)175
18928 b Fj(a)2583 3341 y Fh(\027)2654 3326 y Fw(=)27 b(1,)918
18929 3446 y Fj(e)963 3461 y Fl(d)1035 3446 y Fw(=)g Fn(\000)p
18930 Fw(1)p Fj(=)p Fw(3,)100 b Fj(v)1536 3461 y Fl(d)1607
18931 3446 y Fw(=)27 b Fn(\000)p Fw(1)c(+)f(4)17 b(sin)2142
18932 3406 y Fl(2)2181 3446 y Fj(\022)2226 3461 y Fh(W)2307
18933 3446 y Fj(=)p Fw(3,)100 b Fj(a)2583 3461 y Fl(d)2654
18934 3446 y Fw(=)28 b Fn(\000)p Fw(1,)0 3637 y(with)40 b Fj(e)h
18935 Fw(the)g(electric)f(c)m(harge,)k(and)d Fj(v)j Fw(and)d
18936 Fj(a)g Fw(the)g(v)m(ector)h(and)e(axial)f(couplings)h(to)h(the)g(Z)3478
18937 3601 y Fl(0)3517 3637 y Fw(.)68 b(The)0 3745 y(relativ)m(e)25
18938 b(energy)i(dep)s(endence)i(of)c(the)i(w)m(eak)g(neutral)f(curren)m(t)h
18939 (to)e(the)i(electromagnetic)d(one)j(is)e(giv)m(en)0 3854
18940 y(b)m(y)990 4013 y Fj(\037)p Fw(\()p Fj(s)p Fw(\))j(=)1622
18941 3945 y(1)p 1314 3990 664 4 v 1314 4082 a(4)17 b(sin)1499
18942 4042 y Fl(2)1539 4082 y Fj(\022)1584 4097 y Fh(W)1682
18943 4082 y Fw(cos)1812 4053 y Fl(2)1852 4082 y Fj(\022)1897
18944 4097 y Fh(W)2349 3945 y Fj(s)p 2025 3990 695 4 v 2025
18945 4081 a(s)22 b Fn(\000)h Fj(m)2278 4047 y Fl(2)2278 4105
18946 y(Z)2348 4081 y Fw(+)f Fj(im)2564 4096 y Fl(Z)2612 4081
18947 y Fw(\000)2673 4096 y Fl(Z)2762 4013 y Fj(;)817 b Fw(\(19\))0
18948 4244 y(where)40 b Fj(s)e Fw(=)f Fj(E)563 4208 y Fl(2)557
18949 4269 y(cm)652 4244 y Fw(.)61 b(In)39 b Fm(Jetset)f Fw(the)h(electro)m
18950 (w)m(eak)h(mixing)c(parameter)i(sin)2861 4204 y Fl(2)2901
18951 4244 y Fj(\022)2946 4259 y Fh(W)3065 4244 y Fw(and)h(the)g(Z)3495
18952 4208 y Fl(0)3573 4244 y Fw(mass)0 4353 y Fj(m)85 4368
18953 y Fl(Z)173 4353 y Fw(and)h(width)g(\000)715 4368 y Fl(Z)802
18954 4353 y Fw(are)h(considered)g(as)f(constan)m(ts)i(to)d(b)s(e)i(giv)m(en)
18955 f(b)m(y)h(y)m(ou)g(\(while)e Fm(Pythia)i Fw(itself)0
18956 4461 y(calculates)32 b(an)g Fj(s)p Fw(-dep)s(enden)m(t)i(width\).)146
18957 4569 y(Although)e(the)i(incoming)c(e)1206 4533 y Fl(+)1298
18958 4569 y Fw(and)j(e)1531 4533 y Fk(\000)1623 4569 y Fw(b)s(eams)g(are)g
18959 (normally)d(unp)s(olarized,)i(w)m(e)i(ha)m(v)m(e)g(included)0
18960 4678 y(the)d(p)s(ossibilit)m(y)e(of)h(p)s(olarized)f(b)s(eams,)i(follo)
18961 m(wing)d(the)k(formalism)27 b(of)j([Ols80)o(].)43 b(Th)m(us)33
18962 b(the)e(incoming)0 4786 y(e)43 4750 y Fl(+)135 4786 y
18963 Fw(and)i(e)368 4750 y Fk(\000)460 4786 y Fw(are)f(c)m(haracterized)i(b)
18964 m(y)f(p)s(olarizations)d Fo(P)2006 4750 y Fk(\006)2097
18965 4786 y Fw(in)i(the)h(rest)g(frame)f(of)g(the)h(particles:)1419
18966 4980 y Fo(P)1496 4939 y Fk(\006)1582 4980 y Fw(=)28 b
18967 Fj(P)1763 4939 y Fk(\006)1749 5004 y Fl(T)1819 4979 y
18968 Fw(^)1821 4980 y Fo(s)1865 4939 y Fk(\006)1946 4980 y
18969 Fw(+)22 b Fj(P)2121 4939 y Fk(\006)2107 5004 y Fl(L)2187
18970 4979 y Fw(^)2180 4980 y Fo(p)2242 4939 y Fk(\006)2334
18971 4980 y Fj(;)1245 b Fw(\(20\))0 5173 y(where)34 b(0)27
18972 b Fn(\024)h Fj(P)540 5132 y Fk(\006)526 5198 y Fl(T)627
18973 5173 y Fn(\024)g Fw(1)k(and)h Fn(\000)p Fw(1)28 b Fn(\024)g
18974 Fj(P)1339 5132 y Fk(\006)1325 5198 y Fl(L)1425 5173 y
18975 Fn(\024)g Fw(1,)k(with)h(the)g(constrain)m(t)1267 5367
18976 y(\()p Fo(P)1382 5326 y Fk(\006)1441 5367 y Fw(\))1479
18977 5326 y Fl(2)1546 5367 y Fw(=)27 b(\()p Fj(P)1764 5326
18978 y Fk(\006)1750 5392 y Fl(T)1823 5367 y Fw(\))1861 5326
18979 y Fl(2)1922 5367 y Fw(+)22 b(\()p Fj(P)2135 5326 y Fk(\006)2121
18980 5392 y Fl(L)2194 5367 y Fw(\))2232 5326 y Fl(2)2299 5367
18981 y Fn(\024)28 b Fw(1)k Fj(:)1094 b Fw(\(21\))0 5561 y(Here)238
18982 5560 y(^)240 5561 y Fo(s)284 5525 y Fk(\006)385 5561
18983 y Fw(are)42 b(unit)g(v)m(ectors)i(p)s(erp)s(endicular)d(to)h(the)g(b)s
18984 (eam)g(directions)2781 5560 y(^)2774 5561 y Fo(p)2836
18985 5525 y Fk(\006)2895 5561 y Fw(.)73 b(T)-8 b(o)42 b(b)s(e)g(sp)s
18986 (eci\014c,)j(w)m(e)0 5669 y(c)m(ho)s(ose)d(a)f(righ)m(t-handed)g(co)s
18987 (ordinate)g(frame)f(with)2003 5668 y(^)1996 5669 y Fo(p)2058
18988 5633 y Fk(\006)2160 5669 y Fw(=)i(\(0)p Fj(;)17 b Fw(0)p
18989 Fj(;)g Fn(\007)p Fw(1\),)43 b(and)f(standard)f(transv)m(erse)1841
18990 5953 y(68)p eop
18991 %%Page: 69 75
18992 69 74 bop 0 -18 a Fw(p)s(olarization)35 b(directions)j(\(out)g(of)f
18993 (the)i(mac)m(hine)f(plane)g(for)f(storage)i(rings\))2934
18994 -19 y(^)2936 -18 y Fo(s)2980 -55 y Fk(\006)3077 -18 y
18995 Fw(=)e(\(0)p Fj(;)17 b Fn(\006)p Fw(1)p Fj(;)g Fw(0\),)39
18996 b(the)0 90 y(latter)30 b(corresp)s(onding)i(to)f(azim)m(uthal)e(angles)
18997 j Fj(')1816 54 y Fk(\006)1902 90 y Fw(=)c Fn(\006)p Fj(\031)t(=)p
18998 Fw(2.)43 b(As)32 b(free)g(parameters)f(in)g(the)h(program)0
18999 233 y(w)m(e)i(c)m(ho)s(ose)f Fj(P)530 192 y Fl(+)516
19000 258 y(L)589 233 y Fw(,)f Fj(P)725 192 y Fk(\000)711 258
19001 y Fl(L)784 233 y Fw(,)g Fj(P)906 248 y Fl(T)989 233 y
19002 Fw(=)1092 130 y Fg(q)p 1175 130 271 4 v 103 x Fj(P)1252
19003 192 y Fl(+)1238 258 y(T)1311 233 y Fj(P)1388 192 y Fk(\000)1374
19004 258 y Fl(T)1479 233 y Fw(and)h(\001)p Fj(')27 b Fw(=)h(\()p
19005 Fj(')2047 197 y Fl(+)2128 233 y Fw(+)22 b Fj(')2290 197
19006 y Fk(\000)2349 233 y Fw(\))p Fj(=)p Fw(2.)146 363 y(In)30
19007 b(the)g(massless)g(QED)f(case,)i(the)f(probabilit)m(y)d(to)i(pro)s
19008 (duce)h(a)g(\015a)m(v)m(our)g(f)36 b(is)29 b(prop)s(ortional)e(to)i
19009 Fj(e)3713 327 y Fl(2)3713 388 y(f)3752 363 y Fw(,)0 471
19010 y(i.e)38 b(up-t)m(yp)s(e)i(quarks)g(are)f(four)g(times)f(as)h(lik)m
19011 (ely)e(as)i(do)m(wn-t)m(yp)s(e)i(ones.)63 b(In)39 b(lo)m(w)m(est-order)
19012 g(massless)0 580 y(QFD)32 b(the)h(corresp)s(onding)f(relativ)m(e)g
19013 (probabilities)e(are)i(giv)m(en)h(b)m(y)g([Ols80])163
19014 812 y Fj(h)219 827 y Fl(f)250 812 y Fw(\()p Fj(s)p Fw(\))83
19015 b(=)g Fj(e)659 771 y Fl(2)659 837 y(e)715 812 y Fw(\(1)22
19016 b Fn(\000)h Fj(P)1001 771 y Fl(+)987 837 y(L)1059 812
19017 y Fj(P)1136 771 y Fk(\000)1122 837 y Fl(L)1194 812 y
19018 Fw(\))17 b Fj(e)1294 771 y Fl(2)1294 837 y(f)1372 812
19019 y Fw(+)39 b(2)p Fj(e)1581 827 y Fl(e)1633 716 y Fg(n)1688
19020 812 y Fj(v)1735 827 y Fl(e)1771 812 y Fw(\(1)22 b Fn(\000)h
19021 Fj(P)2057 771 y Fl(+)2043 837 y(L)2115 812 y Fj(P)2192
19022 771 y Fk(\000)2178 837 y Fl(L)2251 812 y Fw(\))f Fn(\000)g
19023 Fj(a)2461 827 y Fl(e)2497 812 y Fw(\()p Fj(P)2612 771
19024 y Fk(\000)2598 837 y Fl(L)2692 812 y Fn(\000)h Fj(P)2869
19025 771 y Fl(+)2855 837 y(L)2928 812 y Fw(\))2966 716 y Fg(o)3054
19026 812 y Fn(<)p Fj(\037)p Fw(\()p Fj(s)p Fw(\))17 b Fj(e)3371
19027 827 y Fl(f)3402 812 y Fj(v)3449 827 y Fl(f)3519 812 y
19028 Fw(+)614 995 y(+)723 899 y Fg(n)778 995 y Fw(\()p Fj(v)867
19029 954 y Fl(2)863 1020 y(e)928 995 y Fw(+)22 b Fj(a)1077
19030 954 y Fl(2)1077 1020 y(e)1117 995 y Fw(\)\(1)g Fn(\000)h
19031 Fj(P)1441 954 y Fl(+)1427 1020 y(L)1499 995 y Fj(P)1576
19032 954 y Fk(\000)1562 1020 y Fl(L)1634 995 y Fw(\))g Fn(\000)f
19033 Fw(2)p Fj(v)1890 1010 y Fl(e)1926 995 y Fj(a)1977 1010
19034 y Fl(e)2012 995 y Fw(\()p Fj(P)2127 954 y Fk(\000)2113
19035 1020 y Fl(L)2208 995 y Fn(\000)g Fj(P)2384 954 y Fl(+)2370
19036 1020 y(L)2443 995 y Fw(\))2481 899 y Fg(o)2569 995 y
19037 Fn(j)p Fj(\037)p Fw(\()p Fj(s)p Fw(\))p Fn(j)2808 946
19038 y Fl(2)2880 899 y Fg(n)2936 995 y Fj(v)2987 954 y Fl(2)2983
19039 1020 y(f)3048 995 y Fw(+)g Fj(a)3197 954 y Fl(2)3197
19040 1020 y(f)3237 899 y Fg(o)3341 995 y Fj(;)238 b Fw(\(22\))0
19041 1227 y(where)37 b Fn(<)p Fj(\037)p Fw(\()p Fj(s)p Fw(\))f(denotes)h
19042 (the)f(real)f(part)h(of)f Fj(\037)p Fw(\()p Fj(s)p Fw(\).)53
19043 b(The)37 b Fj(h)2148 1242 y Fl(f)2179 1227 y Fw(\()p
19044 Fj(s)p Fw(\))e(expression)j(dep)s(ends)f(b)s(oth)f(on)f(the)i
19045 Fj(s)0 1336 y Fw(v)-5 b(alue)32 b(and)h(on)f(the)h(longitudinal)c(p)s
19046 (olarization)g(of)j(the)h(e)2148 1300 y Fk(\006)2240
19047 1336 y Fw(b)s(eams)g(in)e(a)i(non-trivial)c(w)m(a)m(y)-8
19048 b(.)146 1444 y(The)34 b(cross)f(section)g(for)f(the)h(pro)s(cess)h(e)
19049 1612 1408 y Fl(+)1671 1444 y Fw(e)1714 1408 y Fk(\000)1801
19050 1444 y Fn(!)28 b Fj(\015)1985 1408 y Fk(\003)2024 1444
19051 y Fj(=)p Fw(Z)2133 1408 y Fl(0)2200 1444 y Fn(!)f Fw(f)p
19052 2364 1365 37 4 v 7 w(f)39 b(ma)m(y)32 b(no)m(w)i(b)s(e)e(written)h(as)
19053 1435 1723 y Fj(\033)1490 1738 y Fl(f)1521 1723 y Fw(\()p
19054 Fj(s)p Fw(\))28 b(=)1784 1656 y(4)p Fj(\031)t(\013)1955
19055 1620 y Fl(2)1954 1680 y(em)p 1784 1700 265 4 v 1869 1792
19056 a Fw(3)p Fj(s)2058 1723 y(R)2132 1738 y Fl(f)2163 1723
19057 y Fw(\()p Fj(s)p Fw(\))33 b Fj(;)1261 b Fw(\(23\))0 1976
19058 y(where)39 b Fj(R)361 1991 y Fl(f)430 1976 y Fw(giv)m(es)f(the)g(ratio)
19059 e(to)i(the)g(lo)m(w)m(est-order)g(QED)g(cross)g(section)g(for)f(the)i
19060 (pro)s(cess)g(e)3482 1940 y Fl(+)3541 1976 y Fw(e)3584
19061 1940 y Fk(\000)3680 1976 y Fn(!)0 2084 y Fj(\026)59 2048
19062 y Fl(+)118 2084 y Fj(\026)177 2048 y Fk(\000)235 2084
19063 y Fw(,)1372 2192 y Fj(R)1446 2207 y Fl(f)1477 2192 y
19064 Fw(\()p Fj(s)p Fw(\))28 b(=)f Fj(N)1808 2207 y Fh(C)1884
19065 2192 y Fj(R)1958 2207 y Fl(QCD)2139 2192 y Fj(h)2195
19066 2207 y Fl(f)2226 2192 y Fw(\()p Fj(s)p Fw(\))32 b Fj(:)1199
19067 b Fw(\(24\))0 2355 y(The)37 b(factor)e(of)h Fj(N)679
19068 2370 y Fh(C)771 2355 y Fw(=)e(3)h(coun)m(ts)i(the)g(n)m(um)m(b)s(er)f
19069 (of)f(colour)g(states)i(a)m(v)-5 b(ailable)34 b(for)h(the)h(q)p
19070 3275 2302 52 4 v(q)h(pair.)53 b(The)0 2463 y Fj(R)74
19071 2478 y Fl(QCD)264 2463 y Fw(factor)26 b(tak)m(es)i(in)m(to)d(accoun)m
19072 (t)i(QCD)f(lo)s(op)f(corrections)h(to)g(the)h(cross)g(section.)41
19073 b(F)-8 b(or)26 b Fj(n)3364 2478 y Fh(f)3435 2463 y Fw(e\013ectiv)m(e)0
19074 2571 y(\015a)m(v)m(ours)34 b(\(normally)c Fj(n)866 2586
19075 y Fh(f)939 2571 y Fw(=)e(5\))866 2848 y Fj(R)940 2863
19076 y Fl(QCD)1131 2848 y Fn(\031)h Fw(1)22 b(+)1415 2781
19077 y Fj(\013)1477 2796 y Fl(s)p 1415 2825 95 4 v 1433 2917
19078 a Fj(\031)1542 2848 y Fw(+)g(\(1)p Fj(:)p Fw(986)f Fn(\000)i
19079 Fw(0)p Fj(:)p Fw(115)p Fj(n)2303 2863 y Fh(f)2347 2848
19080 y Fw(\))2402 2727 y Fg(\022)2473 2781 y Fj(\013)2535
19081 2796 y Fl(s)p 2473 2825 V 2491 2917 a Fj(\031)2577 2727
19082 y Fg(\023)2638 2750 y Fl(2)2700 2848 y Fw(+)f Fn(\001)17
19083 b(\001)g(\001)690 b Fw(\(25\))0 3116 y(in)35 b(the)p
19084 289 3038 144 4 v 37 w(MS)i(renormalization)c(sc)m(heme)k([Din79)n(].)55
19085 b(Note)36 b(that)g Fj(R)2426 3131 y Fl(QCD)2626 3116
19086 y Fw(do)s(es)h(not)f(a\013ect)h(the)f(relativ)m(e)0 3224
19087 y(quark-\015a)m(v)m(our)j(comp)s(osition,)e(and)h(so)g(is)g(of)f(p)s
19088 (eripheral)g(in)m(terest)h(in)g Fm(Jetset)p Fw(.)58 b(\(F)-8
19089 b(or)37 b(leptons)h(the)0 3332 y Fj(N)78 3347 y Fh(C)176
19090 3332 y Fw(and)g Fj(R)445 3347 y Fl(QCD)647 3332 y Fw(factors)h(w)m
19091 (ould)f(b)s(e)h(absen)m(t,)i(i.e.)60 b Fj(N)2004 3347
19092 y Fh(C)2080 3332 y Fj(R)2154 3347 y Fl(QCD)2356 3332
19093 y Fw(=)37 b(1,)j(but)e(leptonic)g(\014nal)f(states)i(are)0
19094 3441 y(not)32 b(generated)i(in)e Fm(Jetset)p Fw(.\))146
19095 3549 y(Neglecting)d(higher-order)h(QCD)g(and)g(QFD)f(e\013ects,)j(the)f
19096 (corrections)f(for)g(massiv)m(e)g(quarks)h(are)0 3677
19097 y(giv)m(en)j(in)f(terms)h(of)f(the)i(v)m(elo)s(cit)m(y)e
19098 Fj(v)1334 3692 y Fl(q)1410 3677 y Fw(of)g(a)h(quark)g(with)g(mass)g
19099 Fj(m)2432 3692 y Fl(q)2473 3677 y Fw(,)g Fj(v)2581 3692
19100 y Fl(q)2653 3677 y Fw(=)2759 3583 y Fg(q)p 2842 3583
19101 441 4 v 94 x Fw(1)22 b Fn(\000)g Fw(4)p Fj(m)3146 3648
19102 y Fl(2)3146 3702 y(q)3188 3677 y Fj(=s)o Fw(,)35 b(as)f(follo)m(ws.)0
19103 3817 y(The)g(v)m(ector)f(quark)h(curren)m(t)f(terms)g(in)f
19104 Fj(h)1550 3832 y Fl(f)1613 3817 y Fw(\(prop)s(ortional)e(to)i
19105 Fj(e)2376 3781 y Fl(2)2376 3841 y(f)2416 3817 y Fw(,)h
19106 Fj(e)2521 3832 y Fl(f)2552 3817 y Fj(v)2599 3832 y Fl(f)2630
19107 3817 y Fw(,)f(or)h Fj(v)2860 3781 y Fl(2)2856 3841 y(f)2899
19108 3817 y Fw(\))f(are)h(m)m(ultiplied)c(b)m(y)34 b(a)0 3925
19109 y(threshold)f(factor)g Fj(v)756 3940 y Fl(q)797 3925
19110 y Fw(\(3)22 b Fn(\000)h Fj(v)1057 3889 y Fl(2)1053 3950
19111 y(q)1096 3925 y Fw(\))p Fj(=)p Fw(2,)33 b(while)f(the)h(axial)e(v)m
19112 (ector)j(quark)g(curren)m(t)g(term)f(\(prop)s(ortional)d(to)0
19113 4050 y Fj(a)51 4014 y Fl(2)51 4074 y(f)91 4050 y Fw(\))35
19114 b(is)f(m)m(ultiplied)e(b)m(y)k Fj(v)919 4014 y Fl(3)915
19115 4074 y(q)958 4050 y Fw(.)51 b(While)34 b(inclusion)g(of)g(quark)i
19116 (masses)g(in)e(the)i(QFD)e(form)m(ulae)f(decreases)0
19117 4170 y(the)e(total)e(cross)i(section,)g(\014rst-order)g(QCD)f
19118 (corrections)h(tend)g(in)e(the)i(opp)s(osite)f(direction)f([Jer81].)0
19119 4279 y(Na)-11 b(\177)-38 b(\020v)m(ely)-8 b(,)34 b(one)f(w)m(ould)h
19120 (exp)s(ect)h(one)f(factor)f(of)g Fj(v)1767 4294 y Fl(q)1842
19121 4279 y Fw(to)h(get)f(cancelled.)47 b(So)33 b(far,)h(the)g(a)m(v)-5
19122 b(ailable)31 b(options)0 4387 y(are)i(either)f(to)g(include)g
19123 (threshold)h(factors)f(in)g(full)f(or)h(not)h(at)f(all.)146
19124 4495 y(Giv)m(en)38 b(that)f(all)f(\014v)m(e)i(quarks)h(are)f(ligh)m(t)e
19125 (at)h(the)h(scale)f(of)g(the)h(Z)2576 4459 y Fl(0)2615
19126 4495 y Fw(,)h(the)f(issue)g(of)f(quark)i(masses)0 4604
19127 y(is)31 b(not)g(really)g(of)g(in)m(terest)h(at)f(LEP)-8
19128 b(.)32 b(Here,)g(ho)m(w)m(ev)m(er,)j(purely)c(w)m(eak)i(corrections)f
19129 (are)f(imp)s(ortan)m(t,)f(in)0 4712 y(particular)i(since)j(they)g(c)m
19130 (hange)g(the)f(b)g(quark)h(partial)d(width)i(di\013eren)m(tly)g(from)e
19131 (that)i(of)g(the)g(other)0 4820 y(ones)f([K)s(\177)-51
19132 b(uh89)o(].)44 b(No)32 b(suc)m(h)i(e\013ects)g(are)f(included)f(in)g
19133 (the)h(program.)0 5068 y Fo(6.1.2)112 b(First-order)37
19134 b(QCD)h(matrix)e(elemen)m(ts)0 5241 y Fw(The)26 b(Born)g(pro)s(cess)g
19135 (e)804 5205 y Fl(+)864 5241 y Fw(e)907 5205 y Fk(\000)994
19136 5241 y Fn(!)h Fw(q)p 1172 5188 52 4 v(q)f(is)f(mo)s(di\014ed)f(in)h
19137 (\014rst-order)h(QCD)f(b)m(y)h(the)g(probabilit)m(y)d(for)i(the)h(q)g
19138 (or)p 0 5296 V 0 5349 a(q)31 b(to)f(radiate)f(a)h(gluon,)g(i.e.)43
19139 b(b)m(y)31 b(the)g(pro)s(cess)g(e)1744 5313 y Fl(+)1804
19140 5349 y Fw(e)1847 5313 y Fk(\000)1934 5349 y Fn(!)c Fw(q)p
19141 2112 5296 V(q)q(g)q(.)43 b(The)31 b(matrix)e(elemen)m(t)h(is)g(con)m(v)
19142 m(enien)m(tly)0 5458 y(giv)m(en)35 b(in)g(terms)g(of)g(scaled)g(energy)
19143 i(v)-5 b(ariables)34 b(in)g(the)i(c.m.)51 b(frame)34
19144 b(of)h(the)h(ev)m(en)m(t,)i Fj(x)3195 5473 y Fl(1)3267
19145 5458 y Fw(=)32 b(2)p Fj(E)3496 5473 y Fl(q)3537 5458
19146 y Fj(=E)3658 5473 y Fl(cm)3752 5458 y Fw(,)1841 5953
19147 y(69)p eop
19148 %%Page: 70 76
19149 70 75 bop 0 -18 a Fj(x)55 -3 y Fl(2)123 -18 y Fw(=)27
19150 b(2)p Fj(E)p 347 -42 42 4 v 14 x Fl(q)388 -18 y Fj(=E)509
19151 -3 y Fl(cm)604 -18 y Fw(,)32 b(and)g Fj(x)907 -3 y Fl(3)975
19152 -18 y Fw(=)27 b(2)p Fj(E)1199 -3 y Fl(g)1240 -18 y Fj(=E)1361
19153 -3 y Fl(cm)1455 -18 y Fw(,)32 b(i.e.)43 b Fj(x)1737 -3
19154 y Fl(1)1798 -18 y Fw(+)21 b Fj(x)1950 -3 y Fl(2)2011
19155 -18 y Fw(+)f Fj(x)2162 -3 y Fl(3)2230 -18 y Fw(=)28 b(2.)43
19156 b(F)-8 b(or)31 b(massless)h(quarks)i(the)e(matrix)0 90
19157 y(elemen)m(t)g(reads)i([Ell76)n(])1098 291 y(1)p 1075
19158 336 95 4 v 1075 427 a Fj(\033)1130 442 y Fl(0)1308 291
19159 y Fw(d)p Fj(\033)p 1207 336 315 4 v 1207 427 a Fw(d)p
19160 Fj(x)1316 442 y Fl(1)1372 427 y Fw(d)p Fj(x)1481 442
19161 y Fl(2)1559 359 y Fw(=)1680 291 y Fj(\013)1742 306 y
19162 Fl(s)p 1673 336 108 4 v 1673 427 a Fw(2)p Fj(\031)1807
19163 359 y(C)1877 374 y Fh(F)2148 291 y Fj(x)2203 255 y Fl(2)2203
19164 316 y(1)2265 291 y Fw(+)22 b Fj(x)2418 255 y Fl(2)2418
19165 316 y(2)p 1962 336 683 4 v 1962 427 a Fw(\(1)g Fn(\000)g
19166 Fj(x)2225 442 y Fl(1)2265 427 y Fw(\)\(1)g Fn(\000)h
19167 Fj(x)2567 442 y Fl(2)2607 427 y Fw(\))2687 359 y Fj(;)892
19168 b Fw(\(26\))0 625 y(where)32 b Fj(\033)335 640 y Fl(0)406
19169 625 y Fw(is)e(the)h(lo)m(w)m(est-order)g(cross)h(section,)g
19170 Fj(C)1874 640 y Fh(F)1960 625 y Fw(=)27 b(4)p Fj(=)p
19171 Fw(3)j(is)h(the)g(appropriate)f(colour)g(factor,)g(and)0
19172 733 y(the)k(kinematically)c(allo)m(w)m(ed)i(region)h(is)g(0)28
19173 b Fn(\024)i Fj(x)1750 748 y Fh(i)1807 733 y Fn(\024)f
19174 Fw(1)p Fj(;)17 b(i)29 b Fw(=)g(1)p Fj(;)17 b Fw(2)p Fj(;)g
19175 Fw(3.)44 b(By)34 b(kinematics,)e(the)i Fj(x)3370 748
19176 y Fh(k)3446 733 y Fw(v)-5 b(ariable)0 841 y(for)42 b(parton)h
19177 Fj(k)j Fw(is)c(related)g(to)h(the)g(in)m(v)-5 b(arian)m(t)41
19178 b(mass)i Fj(m)2086 856 y Fh(ij)2190 841 y Fw(of)f(the)h(other)g(t)m(w)m
19179 (o)h(partons)f Fj(i)g Fw(and)g Fj(j)49 b Fw(b)m(y)0 950
19180 y Fj(y)48 965 y Fh(ij)136 950 y Fw(=)27 b Fj(m)324 913
19181 y Fl(2)324 974 y Fh(ij)385 950 y Fj(=E)512 913 y Fl(2)506
19182 974 y(cm)628 950 y Fw(=)h(1)22 b Fn(\000)g Fj(x)957 965
19183 y Fh(k)1000 950 y Fw(.)146 1058 y(The)34 b(strong)e(coupling)g(constan)
19184 m(t)h Fj(\013)1491 1073 y Fl(s)1556 1058 y Fw(is)f(in)g(\014rst)h
19185 (order)f(giv)m(en)h(b)m(y)1186 1307 y Fj(\013)1248 1322
19186 y Fl(s)1280 1307 y Fw(\()p Fj(Q)1395 1266 y Fl(2)1434
19187 1307 y Fw(\))28 b(=)1991 1239 y(12)p Fj(\031)p 1614 1283
19188 911 4 v 1614 1375 a Fw(\(33)21 b Fn(\000)i Fw(2)p Fj(n)1978
19189 1390 y Fh(f)2023 1375 y Fw(\))33 b(ln\()p Fj(Q)2291 1346
19190 y Fl(2)2330 1375 y Fj(=)p Fw(\003)2447 1346 y Fl(2)2486
19191 1375 y Fw(\))2567 1307 y Fj(:)1012 b Fw(\(27\))0 1580
19192 y(Con)m(v)m(en)m(tionally)30 b Fj(Q)744 1543 y Fl(2)812
19193 1580 y Fw(=)d Fj(s)h Fw(=)g Fj(E)1171 1543 y Fl(2)1165
19194 1604 y(cm)1259 1580 y Fw(;)k(w)m(e)f(will)e(return)i(to)f(this)h(issue)
19195 g(b)s(elo)m(w.)43 b(The)32 b(n)m(um)m(b)s(er)f(of)f(\015a)m(v)m(ours)0
19196 1688 y Fj(n)58 1703 y Fh(f)137 1688 y Fw(is)k(5)g(for)f(LEP)h
19197 (applications,)f(and)h(so)g(the)g(\003)g(v)-5 b(alue)33
19198 b(determined)h(is)f(\003)2783 1703 y Fl(5)2856 1688 y
19199 Fw(\(while)g(e.g.)48 b(most)33 b(deep)0 1796 y(inelastic)27
19200 b(scattering)i(studies)h(refer)g(to)f(\003)1552 1811
19201 y Fl(4)1591 1796 y Fw(,)h(the)f(energies)h(for)e(these)j(exp)s(erimen)m
19202 (ts)f(b)s(eing)e(b)s(elo)m(w)h(the)0 1905 y(b)s(ottom)f(threshold\).)42
19203 b(The)30 b Fj(\013)1103 1920 y Fl(s)1164 1905 y Fw(v)-5
19204 b(alues)29 b(are)g(matc)m(hed)g(at)g(\015a)m(v)m(our)h(thresholds,)g
19205 (i.e.)42 b(as)29 b Fj(n)3266 1920 y Fh(f)3341 1905 y
19206 Fw(is)f(c)m(hanged)0 2013 y(the)e(\003)g(v)-5 b(alue)25
19207 b(is)g(also)g(c)m(hanged.)42 b(It)26 b(is)g(therefore)g(the)g(deriv)-5
19208 b(ativ)m(e)25 b(of)h Fj(\013)2553 2028 y Fl(s)2611 2013
19209 y Fw(that)f(c)m(hanges)i(at)f(a)f(threshold,)0 2121 y(not)32
19210 b Fj(\013)235 2136 y Fl(s)300 2121 y Fw(itself.)146 2230
19211 y(In)k(order)g(to)g(separate)g(2-jets)g(from)e(3-jets,)j(it)e(is)g
19212 (useful)h(to)f(in)m(tro)s(duce)h(jet-resolution)e(param-)0
19213 2338 y(eters.)85 b(This)46 b(can)h(b)s(e)f(done)h(in)e(sev)m(eral)i
19214 (di\013eren)m(t)f(w)m(a)m(ys.)86 b(Most)46 b(famous)g(are)g(the)g
19215 Fj(y)j Fw(and)e(\()p Fj(\017;)17 b(\016)t Fw(\))0 2446
19216 y(pro)s(cedures.)50 b(W)-8 b(e)35 b(will)d(only)i(refer)h(to)f(the)h
19217 Fj(y)i Fw(cut,)f(whic)m(h)f(is)f(the)g(one)h(used)h(in)d(the)i
19218 (program.)48 b(Here)0 2555 y(a)32 b(3-parton)g(con\014guration)g(is)g
19219 (called)f(a)h(2-jet)g(ev)m(en)m(t)j(if)1281 2825 y(min)1325
19220 2883 y Fh(i;j)1444 2825 y Fw(\()p Fj(y)1530 2840 y Fh(ij)1590
19221 2825 y Fw(\))28 b(=)f(min)1802 2883 y Fh(i;j)1938 2679
19222 y Fg( )2024 2751 y Fj(m)2109 2715 y Fl(2)2109 2775 y
19223 Fh(ij)p 2014 2802 167 4 v 2014 2893 a Fj(E)2092 2864
19224 y Fl(2)2086 2918 y(cm)2190 2679 y Fg(!)2284 2825 y Fj(<)g(y)36
19225 b(:)1108 b Fw(\(28\))146 3097 y(The)44 b(cross)g(section)f(in)f(eq.)h
19226 (\(26\))f(div)m(erges)i(for)e Fj(x)2046 3112 y Fl(1)2131
19227 3097 y Fn(!)j Fw(1)d(or)h Fj(x)2552 3112 y Fl(2)2637
19228 3097 y Fn(!)h Fw(1)f(but,)i(when)f(\014rst-order)0 3205
19229 y(propagator)27 b(and)h(v)m(ertex)i(corrections)e(are)f(included,)i(a)f
19230 (corresp)s(onding)f(singularit)m(y)g(with)g(opp)s(osite)0
19231 3314 y(sign)k(app)s(ears)h(in)g(the)g(q)p 892 3261 52
19232 4 v(q)h(cross)f(section,)h(so)f(that)f(the)h(total)f(cross)i(section)e
19233 (is)h(\014nite.)43 b(In)32 b(analytical)0 3422 y(calculations,)26
19234 b(the)g(a)m(v)m(erage)i(v)-5 b(alue)25 b(of)h(an)m(y)h(w)m(ell-b)s(eha)
19235 m(v)m(ed)g(quan)m(tit)m(y)g Fn(Q)f Fw(can)h(therefore)g(b)s(e)f
19236 (calculated)0 3530 y(as)176 3778 y Fn(hQi)h Fw(=)526
19237 3710 y(1)p 476 3754 150 4 v 476 3846 a Fj(\033)531 3861
19238 y Fl(tot)656 3778 y Fw(lim)652 3834 y Fh(y)r Fk(!)p Fl(0)812
19239 3631 y Fg( )878 3778 y Fn(Q)p Fw(\(2parton\))17 b Fj(\033)1438
19240 3793 y Fl(2parton)1681 3778 y Fw(\()p Fj(y)t Fw(\))k(+)1928
19241 3660 y Fg(Z)1974 3849 y Fh(y)2009 3859 y Fe(ij)2064 3849
19242 y Fh(>y)2177 3778 y Fn(Q)p Fw(\()p Fj(x)2351 3793 y Fl(1)2391
19243 3778 y Fj(;)c(x)2490 3793 y Fl(2)2529 3778 y Fw(\))2594
19244 3710 y(d)p Fj(\033)2703 3725 y Fl(3parton)p 2594 3754
19245 354 4 v 2613 3846 a Fw(d)p Fj(x)2722 3861 y Fl(1)2779
19246 3846 y Fw(d)p Fj(x)2888 3861 y Fl(2)2974 3778 y Fw(d)p
19247 Fj(x)3083 3793 y Fl(1)3139 3778 y Fw(d)p Fj(x)3248 3793
19248 y Fl(2)3288 3631 y Fg(!)3403 3778 y Fj(;)176 b Fw(\(29\))0
19249 4044 y(where)34 b(an)m(y)f(explicit)e Fj(y)36 b Fw(dep)s(endence)f
19250 (disapp)s(ears)e(in)e(the)i(limit)c Fj(y)i Fn(!)c Fw(0.)146
19251 4152 y(In)34 b(a)f(Mon)m(te)h(Carlo)e(program,)g(it)g(is)g(not)h(p)s
19252 (ossible)g(to)g(w)m(ork)h(with)e(a)h(negativ)m(e)g(total)f(2-jet)g
19253 (rate,)0 4261 y(and)f(th)m(us)h(it)e(is)g(necessary)j(to)d(in)m(tro)s
19254 (duce)h(a)g(\014xed)h(non-v)-5 b(anishing)29 b Fj(y)34
19255 b Fw(cut)d(in)f(the)h(3-jet)g(phase)g(space.)0 4369 y(Exp)s(erimen)m
19256 (tally)-8 b(,)34 b(there)i(is)e(evidence)i(for)f(the)g(need)h(of)f(a)f
19257 (lo)m(w)h Fj(y)j Fw(cut,)e(i.e.)50 b(a)35 b(large)e(3-jet)i(rate.)50
19258 b(F)-8 b(or)0 4478 y(LEP)32 b(applications,)e(the)h(recommended)h(v)-5
19259 b(alue)31 b(is)g Fj(y)g Fw(=)c(0)p Fj(:)p Fw(01,)k(whic)m(h)h(is)f(ab)s
19260 (out)g(as)h(far)e(do)m(wn)j(as)e(one)0 4586 y(can)39
19261 b(go)f(and)h(still)d(retain)i(a)g(p)s(ositiv)m(e)g(2-jet)g(rate.)61
19262 b(With)38 b Fj(\013)2262 4601 y Fl(s)2332 4586 y Fw(=)g(0)p
19263 Fj(:)p Fw(12,)i(in)d(full)g(second-order)j(QCD)0 4694
19264 y(\(see)34 b(b)s(elo)m(w\),)e(the)h(2)28 b(:)f(3)h(:)g(4)k(jet)g(comp)s
19265 (osition)f(is)h(then)h(appro)m(ximately)e(11\045)d(:)f(77\045)h(:)g
19266 (12\045.)146 4803 y(Note,)c(ho)m(w)m(ev)m(er,)j(that)21
19267 b(initial-state)d(QED)k(radiation)d(ma)m(y)j(o)s(ccasionally)e(lo)m(w)m
19268 (er)i(the)g(c.m.)39 b(energy)0 4911 y(signi\014can)m(tly)-8
19269 b(,)31 b(i.e.)43 b(increase)32 b Fj(\013)1159 4926 y
19270 Fl(s)1191 4911 y Fw(,)g(and)g(thereb)m(y)i(bring)d(the)h(3-jet)g
19271 (fraction)e(ab)s(o)m(v)m(e)j(unit)m(y)f(if)f Fj(y)k Fw(is)c(k)m(ept)0
19272 5019 y(\014xed)k(at)f(0.01)g(also)f(in)g(those)i(ev)m(en)m(ts.)50
19273 b(Therefore,)36 b(at)e(PETRA/PEP)i(energies,)f Fj(y)i
19274 Fw(v)-5 b(alues)34 b(sligh)m(tly)0 5128 y(ab)s(o)m(v)m(e)46
19275 b(0.01)f(are)h(needed.)84 b(In)46 b(addition)e(to)h(the)h
19276 Fj(y)j Fw(cut,)g(the)d(program)f(con)m(tains)g(a)g(cut)i(on)e(the)0
19277 5236 y(in)m(v)-5 b(arian)m(t)27 b(mass)i Fj(m)726 5251
19278 y Fh(ij)815 5236 y Fw(b)s(et)m(w)m(een)i(an)m(y)f(t)m(w)m(o)f(partons,)
19279 h(whic)m(h)f(is)f(t)m(ypically)g(required)h(to)f(b)s(e)h(larger)e(than)
19280 0 5344 y(2)h(GeV.)g(This)g(cut)g(corresp)s(onds)h(to)f(the)g(actual)f
19281 (merging)f(of)i(t)m(w)m(o)g(nearb)m(y)h(parton)f(jets,)h(i.e.)42
19282 b(where)29 b(a)0 5453 y(treatmen)m(t)h(with)g(t)m(w)m(o)h(separate)g
19283 (partons)f(rather)h(than)f(one)h(w)m(ould)f(b)s(e)g(sup)s(er\015uous)i
19284 (in)e(view)g(of)g(the)0 5561 y(smearing)g(arising)f(from)h(the)i
19285 (subsequen)m(t)i(fragmen)m(tation.)41 b(Since)31 b(the)h(cut-o\013)f
19286 (mass)g(scale)3479 5499 y Fn(p)p 3562 5499 52 4 v 62
19287 x Fj(y)s(E)3685 5576 y Fl(cm)0 5669 y Fw(normally)f(is)i(m)m(uc)m(h)h
19288 (larger,)f(this)g(additional)e(cut)j(only)f(en)m(ters)i(for)e(ev)m(en)m
19289 (ts)j(at)d(lo)m(w)g(energies.)1841 5953 y(70)p eop
19290 %%Page: 71 77
19291 71 76 bop 146 -18 a Fw(F)-8 b(or)32 b(massiv)m(e)h(quarks,)h(the)f
19292 (amoun)m(t)f(of)g(QCD)g(radiation)f(is)h(sligh)m(tly)f(reduced)j
19293 ([Iof78)o(]:)220 200 y(1)p 197 244 95 4 v 197 336 a Fj(\033)252
19294 351 y Fl(0)429 200 y Fw(d)p Fj(\033)p 328 244 315 4 v
19295 328 336 a Fw(d)p Fj(x)437 351 y Fl(1)494 336 y Fw(d)p
19296 Fj(x)603 351 y Fl(2)736 267 y Fw(=)911 200 y Fj(\013)973
19297 215 y Fl(s)p 905 244 108 4 v 905 336 a Fw(2)p Fj(\031)1039
19298 267 y(C)1109 282 y Fh(F)1200 121 y Fg(\()1464 200 y Fj(x)1519
19299 164 y Fl(2)1519 225 y(1)1581 200 y Fw(+)22 b Fj(x)1734
19300 164 y Fl(2)1734 225 y(2)p 1277 244 683 4 v 1277 336 a
19301 Fw(\(1)g Fn(\000)h Fj(x)1541 351 y Fl(1)1581 336 y Fw(\)\(1)e
19302 Fn(\000)i Fj(x)1882 351 y Fl(2)1922 336 y Fw(\))1992
19303 267 y Fn(\000)2102 193 y Fw(4)p Fj(m)2236 157 y Fl(2)2236
19304 218 y(q)p 2102 244 176 4 v 2166 336 a Fj(s)2304 146 y
19305 Fg(\022)2483 200 y Fw(1)p 2375 244 266 4 v 2375 336 a(1)f
19306 Fn(\000)g Fj(x)2600 351 y Fl(1)2672 267 y Fw(+)2888 200
19307 y(1)p 2780 244 V 2780 336 a(1)g Fn(\000)h Fj(x)3006 351
19308 y Fl(2)3056 146 y Fg(\023)895 577 y Fn(\000)1009 503
19309 y Fw(2)p Fj(m)1143 467 y Fl(2)1143 527 y(q)p 1009 554
19310 176 4 v 1073 645 a Fj(s)1211 431 y Fg( )1452 509 y Fw(1)p
19311 1286 554 381 4 v 1286 645 a(\(1)f Fn(\000)h Fj(x)1550
19312 660 y Fl(1)1590 645 y Fw(\))1628 616 y Fl(2)1699 577
19313 y Fw(+)1973 509 y(1)p 1807 554 V 1807 645 a(\(1)f Fn(\000)h
19314 Fj(x)2071 660 y Fl(2)2110 645 y Fw(\))2148 616 y Fl(2)2198
19315 431 y Fg(!)2286 577 y Fn(\000)2395 503 y Fw(4)p Fj(m)2529
19316 467 y Fl(4)2529 527 y(q)p 2395 554 176 4 v 2440 645 a
19317 Fj(s)2486 616 y Fl(2)2597 456 y Fg(\022)2777 509 y Fw(1)p
19318 2668 554 266 4 v 2668 645 a(1)f Fn(\000)h Fj(x)2894 660
19319 y Fl(1)2966 577 y Fw(+)3182 509 y(1)p 3074 554 V 3074
19320 645 a(1)f Fn(\000)g Fj(x)3299 660 y Fl(2)3349 456 y Fg(\023)3410
19321 472 y Fl(2)3450 431 y Fg(\))3566 577 y Fj(:)13 b Fw(\(30\))0
19322 854 y(In)33 b(addition,)e(the)i(phase)g(space)h(for)e(emission)f(is)h
19323 (reduced)i(b)m(y)g(the)f(requiremen)m(t)1208 1067 y(\(1)22
19324 b Fn(\000)h Fj(x)1472 1082 y Fl(1)1512 1067 y Fw(\)\(1)e
19325 Fn(\000)i Fj(x)1813 1082 y Fl(2)1853 1067 y Fw(\)\(1)f
19326 Fn(\000)g Fj(x)2154 1082 y Fl(3)2194 1067 y Fw(\))p 1208
19327 1111 1024 4 v 1673 1202 a Fj(x)1728 1168 y Fl(2)1728
19328 1224 y(3)2270 1134 y Fn(\025)2385 1060 y Fj(m)2470 1024
19329 y Fl(2)2470 1084 y(q)p 2385 1111 127 4 v 2425 1202 a
19330 Fj(s)2554 1134 y(:)1025 b Fw(\(31\))0 1401 y(F)-8 b(or)32
19331 b(b)g(quarks)i(at)f(LEP)g(energies,)g(these)h(corrections)e(are)h
19332 (fairly)e(small.)0 1649 y Fo(6.1.3)112 b(4-jet)38 b(matrix)e(elemen)m
19333 (ts)0 1822 y Fw(Tw)m(o)e(new)g(ev)m(en)m(t)h(t)m(yp)s(es)f(are)f(added)
19334 h(in)e(second-order)i(QCD,)f(e)2396 1785 y Fl(+)2455
19335 1822 y Fw(e)2498 1785 y Fk(\000)2586 1822 y Fn(!)28 b
19336 Fw(q)p 2765 1769 52 4 v(q)q(gg)34 b(and)f(e)3182 1785
19337 y Fl(+)3241 1822 y Fw(e)3284 1785 y Fk(\000)3372 1822
19338 y Fn(!)28 b Fw(q)p 3551 1769 V(q)q(q)3654 1785 y Fk(0)p
19339 3678 1769 V 3678 1822 a Fw(q)3729 1785 y Fk(0)3752 1822
19340 y Fw(.)0 1930 y(The)23 b(4-jet)e(cross)i(section)f(has)g(b)s(een)g
19341 (calculated)f(b)m(y)i(sev)m(eral)g(groups)f([Ali80a)m(,)g(Gae80)o(,)g
19342 (Ell81)n(,)g(Dan82)o(],)0 2038 y(whic)m(h)32 b(agree)f(on)g(the)h
19343 (result.)43 b(The)32 b(form)m(ulae)e(are)i(to)s(o)e(length)m(y)i(to)e
19344 (b)s(e)i(quoted)g(here.)44 b(In)32 b(one)f(of)g(the)0
19345 2147 y(calculations)40 b([Ali80a)n(],)k(quark)f(masses)g(w)m(ere)g
19346 (explicitly)e(included,)j(but)e Fm(Jetset)f Fw(only)h(includes)0
19347 2255 y(the)31 b(massless)h(expressions,)h(as)e(tak)m(en)h(from)e
19348 ([Ell81)n(].)43 b(Here)32 b(the)f(angular)f(orien)m(tation)f(of)h(the)i
19349 (ev)m(en)m(t)0 2363 y(has)37 b(b)s(een)g(in)m(tegrated)f(out,)h(so)f
19350 (that)g(\014v)m(e)i(indep)s(enden)m(t)f(in)m(ternal)e(kinematical)f(v)
19351 -5 b(ariables)35 b(remain.)0 2472 y(These)e(ma)m(y)e(b)s(e)g(related)g
19352 (to)f(the)i(six)f Fj(y)1426 2487 y Fh(ij)1517 2472 y
19353 Fw(and)g(the)h(four)f Fj(y)2122 2487 y Fh(ij)t(k)2251
19354 2472 y Fw(v)-5 b(ariables,)31 b Fj(y)2730 2487 y Fh(ij)2817
19355 2472 y Fw(=)d Fj(m)3006 2436 y Fl(2)3006 2496 y Fh(ij)3067
19356 2472 y Fj(=s)f Fw(=)h(\()p Fj(p)3380 2487 y Fh(i)3427
19357 2472 y Fw(+)19 b Fj(p)3571 2487 y Fh(j)3607 2472 y Fw(\))3645
19358 2436 y Fl(2)3685 2472 y Fj(=s)0 2596 y Fw(and)33 b Fj(y)238
19359 2611 y Fh(ij)t(k)364 2596 y Fw(=)28 b Fj(m)553 2560 y
19360 Fl(2)553 2621 y Fh(ij)t(k)652 2596 y Fj(=s)f Fw(=)h(\()p
19361 Fj(p)965 2611 y Fh(i)1015 2596 y Fw(+)22 b Fj(p)1162
19362 2611 y Fh(j)1221 2596 y Fw(+)g Fj(p)1368 2611 y Fh(k)1410
19363 2596 y Fw(\))1448 2560 y Fl(2)1488 2596 y Fj(=s)p Fw(,)32
19364 b(in)g(terms)g(of)g(whic)m(h)i(the)f(matrix)e(elemen)m(ts)h(are)h(giv)m
19365 (en.)146 2705 y(The)40 b(original)35 b(calculations)h(w)m(ere)k(for)d
19366 (the)i(pure)g Fj(\015)5 b Fw(-exc)m(hange)40 b(case;)i(it)37
19367 b(w)m(as)j(recen)m(tly)f(p)s(oin)m(ted)0 2813 y(out)27
19368 b([Kni89)o(])h(that)f(an)h(additional)c(con)m(tribution)j(to)g(the)h(e)
19369 2168 2777 y Fl(+)2227 2813 y Fw(e)2270 2777 y Fk(\000)2357
19370 2813 y Fn(!)g Fw(q)p 2536 2760 V(q)q(q)2639 2777 y Fk(0)p
19371 2663 2760 V 2663 2813 a Fw(q)2714 2777 y Fk(0)2765 2813
19372 y Fw(cross)g(section)g(arises)g(from)0 2921 y(the)36
19373 b(axial)d(part)i(of)g(the)h(Z)968 2885 y Fl(0)1007 2921
19374 y Fw(.)52 b(This)35 b(term)g(is)g(not)g(included)g(in)g(the)h(program,)
19375 e(but)i(fortunately)f(it)f(is)0 3030 y(\014nite)e(and)h(small.)146
19376 3138 y(Whereas)47 b(the)f(w)m(a)m(y)g(the)g(string,)i(i.e.)81
19377 b(the)46 b(fragmen)m(ting)d(colour)i(\015ux)h(tub)s(e,)j(is)c(stretc)m
19378 (hed)i(is)0 3247 y(uniquely)37 b(giv)m(en)h(in)e(q)p
19379 829 3194 V(q)q(g)j(ev)m(en)m(t,)h(for)d(q)p 1464 3194
19380 V(q)q(gg)h(ev)m(en)m(ts)i(there)e(are)f(t)m(w)m(o)h(p)s(ossibilities:)
19381 50 b(q)22 b Fn(\000)h Fw(g)3357 3262 y Fl(1)3418 3247
19382 y Fn(\000)g Fw(g)3567 3262 y Fl(2)3628 3247 y Fn(\000)p
19383 3728 3194 V 23 w Fw(q)0 3355 y(or)39 b(q)23 b Fn(\000)f
19384 Fw(g)348 3370 y Fl(2)410 3355 y Fn(\000)g Fw(g)558 3370
19385 y Fl(1)620 3355 y Fn(\000)p 719 3302 V 22 w Fw(q)q(.)64
19386 b(A)39 b(kno)m(wledge)i(of)e(quark)h(and)g(gluon)e(colours,)j(obtained)
19387 e(b)m(y)h(p)s(erturbation)0 3463 y(theory)-8 b(,)31 b(will)d(uniquely)j
19388 (sp)s(ecify)f(the)h(stretc)m(hing)g(of)e(the)i(string,)f(as)h(long)e
19389 (as)h(the)h(t)m(w)m(o)g(gluons)e(do)i(not)0 3572 y(ha)m(v)m(e)41
19390 b(the)e(same)h(colour.)62 b(The)41 b(probabilit)m(y)c(for)i(the)h
19391 (latter)e(is)h(do)m(wn)h(in)f(magnitude)f(b)m(y)i(a)f(factor)0
19392 3680 y(1)p Fj(=)-5 b(N)181 3644 y Fl(2)171 3705 y Fh(C)257
19393 3680 y Fw(=)28 b(1)p Fj(=)p Fw(9.)39 b(One)23 b(ma)m(y)g(either)g(c)m
19394 (ho)s(ose)g(to)g(neglect)g(these)h(terms)e(en)m(tirely)-8
19395 b(,)25 b(or)d(to)h(k)m(eep)h(them)f(for)f(the)0 3788
19396 y(c)m(hoice)33 b(of)g(kinematical)d(setup,)k(but)g(then)f(drop)g(them)g
19397 (at)f(the)i(c)m(hoice)f(of)g(string)f(dra)m(wing)g([Gus82].)0
19398 3897 y(W)-8 b(e)39 b(ha)m(v)m(e)g(adopted)g(the)g(latter)e(pro)s
19399 (cedure.)62 b(Comparing)36 b(the)j(t)m(w)m(o)g(p)s(ossibilities,)e
19400 (di\013erences)i(are)0 4005 y(t)m(ypically)c(10{20\045)g(for)g(a)h(giv)
19401 m(en)g(kinematical)e(con\014guration,)i(and)g(less)h(for)e(the)i(total)
19402 d(4-jet)i(cross)0 4113 y(section,)d(so)g(from)e(a)h(practical)f(p)s
19403 (oin)m(t)h(of)g(view)h(this)f(is)g(not)h(a)f(ma)5 b(jor)31
19404 b(problem.)146 4222 y(In)52 b(higher)f(orders,)57 b(results)52
19405 b(dep)s(end)g(on)g(the)g(renormalization)c(sc)m(heme;)62
19406 b(w)m(e)52 b(will)e(use)p 3636 4144 144 4 v 52 w(MS)0
19407 4330 y(throughout.)64 b(In)40 b(addition)d(to)j(this)f(c)m(hoice,)i
19408 (sev)m(eral)f(p)s(ossible)f(forms)g(can)h(b)s(e)f(c)m(hosen)i(for)e
19409 Fj(\013)3576 4345 y Fl(s)3608 4330 y Fw(,)j(all)0 4438
19410 y(of)g(whic)m(h)i(are)f(equiv)-5 b(alen)m(t)42 b(to)h(that)g(order)g
19411 (but)g(di\013er)f(in)g(higher)g(orders.)75 b(W)-8 b(e)44
19412 b(ha)m(v)m(e)g(pic)m(k)m(ed)g(the)0 4547 y(recommended)33
19413 b(standard)g([PDG88)o(])351 4834 y Fj(\013)413 4849 y
19414 Fl(s)445 4834 y Fw(\()p Fj(Q)560 4793 y Fl(2)599 4834
19415 y Fw(\))28 b(=)1190 4767 y(12)p Fj(\031)p 778 4811 980
19416 4 v 778 4902 a Fw(\(33)22 b Fn(\000)h Fw(2)p Fj(n)1143
19417 4917 y Fh(f)1188 4902 y Fw(\))33 b(ln)o(\()p Fj(Q)1455
19418 4874 y Fl(2)1495 4902 y Fj(=)p Fw(\003)1612 4868 y Fl(2)p
19419 1612 4888 108 4 v 1612 4943 a(MS)1720 4902 y Fw(\))1784
19420 4688 y Fg(\()1851 4834 y Fw(1)22 b Fn(\000)g Fw(6)2106
19421 4767 y(153)f Fn(\000)i Fw(19)p Fj(n)2530 4782 y Fh(f)p
19422 2097 4811 488 4 v 2097 4902 a Fw(\(33)e Fn(\000)i Fw(2)p
19423 Fj(n)2461 4917 y Fh(f)2506 4902 y Fw(\))2544 4874 y Fl(2)2620
19424 4758 y Fw(ln\(ln)o(\()p Fj(Q)2936 4722 y Fl(2)2976 4758
19425 y Fj(=)p Fw(\003)3093 4722 y Fl(2)p 3093 4742 108 4 v
19426 3093 4798 a(MS)3200 4758 y Fw(\)\))p 2620 4811 656 4
19427 v 2699 4902 a(ln)o(\()p Fj(Q)2895 4874 y Fl(2)2935 4902
19428 y Fj(=)p Fw(\003)3052 4868 y Fl(2)p 3052 4888 108 4 v
19429 3052 4943 a(MS)3159 4902 y Fw(\))3286 4688 y Fg(\))3402
19430 4834 y Fj(:)177 b Fw(\(32\))0 5160 y Fo(6.1.4)112 b(Second-order)39
19431 b(3-jet)f(matrix)e(elemen)m(ts)0 5333 y Fw(As)43 b(for)e(\014rst)i
19432 (order,)h(a)e(full)e(second-order)j(calculation)d(consists)j(b)s(oth)e
19433 (of)h(real)f(parton)h(emission)0 5441 y(terms)37 b(and)g(of)g(v)m
19434 (ertex)i(and)e(propagator)f(corrections.)57 b(These)39
19435 b(mo)s(dify)c(the)j(3-jet)e(and)h(2-jet)g(cross)0 5550
19436 y(sections.)57 b(Although)37 b(there)g(w)m(as)h(some)f(initial)d
19437 (confusion,)k(ev)m(eryb)s(o)s(dy)h(so)s(on)d(agreed)i(on)f(the)g(size)0
19438 5658 y(of)47 b(the)g(lo)s(op)e(corrections)j([Ell81)n(,)f(V)-8
19439 b(er81,)47 b(F)-8 b(ab82)o(].)86 b(In)48 b(analytic)d(calculations,)k
19440 (the)f(pro)s(cedure)1841 5953 y(71)p eop
19441 %%Page: 72 78
19442 72 77 bop 0 -18 a Fw(of)36 b(eq.)i(\(29\),)g(suitably)e(expanded,)k
19443 (can)d(therefore)h(b)s(e)f(used)h(unam)m(biguously)e(for)g(a)h(w)m
19444 (ell-b)s(eha)m(v)m(ed)0 90 y(v)-5 b(ariable.)146 198
19445 y(F)d(or)44 b(Mon)m(te)h(Carlo)f(ev)m(en)m(t)i(sim)m(ulation,)f(it)e
19446 (is)h(again)f(necessary)k(to)d(imp)s(ose)f(some)i(\014nite)f(jet-)0
19447 307 y(resolution)c(criterion.)70 b(This)41 b(means)h(that)f
19448 (four-parton)g(ev)m(en)m(ts)j(whic)m(h)e(fail)d(the)j(cuts)h(should)e
19449 (b)s(e)0 415 y(reassigned)30 b(either)f(to)g(the)g(3-jet)g(or)g(to)g
19450 (the)g(2-jet)g(ev)m(en)m(t)i(class.)42 b(It)30 b(is)e(this)h(area)g
19451 (that)g(caused)i(quite)e(a)0 523 y(lot)21 b(of)i(confusion)f(in)g(the)h
19452 (past)g([Kun81,)g(Got82)o(,)f(Ali82)n(,)h(Zh)m(u83,)g(Gut84)o(,)g
19453 (Gut87)o(,)g(Kra88)o(],)h(and)f(where)0 632 y(full)35
19454 b(agreemen)m(t)j(do)s(es)f(not)g(exist.)58 b(Most)37
19455 b(lik)m(ely)-8 b(,)37 b(agreemen)m(t)h(will)c(nev)m(er)39
19456 b(b)s(e)e(reac)m(hed,)j(since)e(there)0 740 y(are)32
19457 b(indeed)g(am)m(biguous)f(p)s(oin)m(ts)h(in)f(the)h(pro)s(cedure,)h
19458 (related)f(to)f(uncertain)m(ties)i(on)e(the)i(theoretical)0
19459 848 y(side,)g(as)g(follo)m(ws.)146 957 y(F)-8 b(or)41
19460 b(the)g Fj(y)t Fw(-cut)f(case,)k(an)m(y)e(t)m(w)m(o)g(partons)f(with)f
19461 (an)h(in)m(v)-5 b(arian)m(t)40 b(mass)h Fj(m)2882 920
19462 y Fl(2)2882 981 y Fh(ij)2985 957 y Fj(<)h(y)t(E)3233
19463 920 y Fl(2)3227 981 y(cm)3361 957 y Fw(should)f(b)s(e)0
19464 1065 y(recom)m(bined)h(in)m(to)g(one.)74 b(If)42 b(the)h(four-momen)m
19465 (ta)e(are)h(simply)f(added,)46 b(the)d(sum)f(will)f(corresp)s(ond)0
19466 1173 y(to)46 b(a)g(parton)f(with)h(a)g(p)s(ositiv)m(e)f(mass,)50
19467 b(namely)45 b(the)i(original)c Fj(m)2529 1188 y Fh(ij)2589
19468 1173 y Fw(.)85 b(The)47 b(lo)s(op)d(corrections)i(are)0
19469 1282 y(giv)m(en)j(in)e(terms)i(of)f(\014nal)g(massless)g(partons,)53
19470 b(ho)m(w)m(ev)m(er.)94 b(In)49 b(order)f(to)g(p)s(erform)g(the)h
19471 (\(partial\))0 1390 y(cancellation)43 b(b)s(et)m(w)m(een)j(the)g
19472 (four-parton)d(real)h(and)h(the)g(3-parton)f(virtual)f(con)m
19473 (tributions,)k(it)d(is)0 1498 y(therefore)36 b(necessary)i(to)d(get)h
19474 (rid)e(of)i(the)f(b)s(othersome)h(mass)f(in)g(the)h(four-parton)f
19475 (states.)53 b(Sev)m(eral)0 1607 y(recom)m(binations)44
19476 b(are)g(used)i(in)f(practice,)j(whic)m(h)d(go)f(under)i(names)f(suc)m
19477 (h)h(as)f(`E',)h(`E0',)i(`p')d(and)0 1715 y(`p0')c([OP)-8
19478 b(A91].)69 b(In)42 b(the)f(`E'-t)m(yp)s(e)h(sc)m(hemes,)k(the)41
19479 b(energy)h(of)f(a)g(recom)m(bined)g(parton)g(is)f(giv)m(en)i(b)m(y)0
19480 1823 y Fj(E)72 1838 y Fh(ij)180 1823 y Fw(=)k Fj(E)374
19481 1838 y Fh(i)432 1823 y Fw(+)30 b Fj(E)610 1838 y Fh(j)647
19482 1823 y Fw(,)46 b(and)e(three-momen)m(ta)f(ma)m(y)h(ha)m(v)m(e)h(to)e(b)
19483 s(e)i(adjusted)f(accordingly)-8 b(.)76 b(In)44 b(the)h(`p'-)0
19484 1932 y(t)m(yp)s(e)f(sc)m(hemes,)k(on)43 b(the)g(other)h(hand,)i
19485 (three-momen)m(ta)c(are)h(added,)k Fo(p)2765 1947 y Fh(ij)2871
19486 1932 y Fw(=)f Fo(p)3055 1947 y Fh(i)3113 1932 y Fw(+)29
19487 b Fo(p)3280 1947 y Fh(j)3317 1932 y Fw(,)46 b(and)d(then)0
19488 2040 y(energies)38 b(ma)m(y)f(ha)m(v)m(e)i(to)e(b)s(e)h(adjusted.)59
19489 b(These)40 b(pro)s(cedures)f(result)e(in)g(di\013eren)m(t)h(3-jet)e
19490 (top)s(ologies,)0 2148 y(and)d(therefore)g(in)f(di\013eren)m(t)g
19491 (second-order)i(di\013eren)m(tial)d(3-jet)h(cross)h(sections.)146
19492 2257 y(Within)g(eac)m(h)h(sc)m(heme,)i(a)d(n)m(um)m(b)s(er)h(of)f
19493 (lesser)i(p)s(oin)m(ts)e(remain)f(to)i(b)s(e)g(dealt)f(with,)g(in)g
19494 (particular)0 2365 y(what)25 b(to)g(do)g(if)e(a)i(recom)m(bination)e
19495 (of)i(a)f(nearb)m(y)j(parton)d(pair)g(w)m(ere)i(to)f(giv)m(e)g(an)g(ev)
19496 m(en)m(t)i(with)d(a)h(non-q)p 3678 2312 52 4 v(qg)0 2473
19497 y(\015a)m(v)m(our)33 b(structure.)146 2582 y Fm(Jetset)64
19498 b Fw(con)m(tains)g(t)m(w)m(o)h(alternativ)m(e)f(second-order)h(3-jet)f
19499 (implemen)m(tations,)69 b(GKS)64 b(and)0 2690 y(ER)-8
19500 b(T\(Zh)m(u\).)79 b(F)-8 b(or)43 b(historical)f(reasons)j(the)g(former)
19501 e(is)h(default,)i(but)f(actually)e(the)h(latter)f(is)h(the)0
19502 2798 y(recommended)31 b(one)g(to)s(da)m(y)-8 b(.)42 b(Other)31
19503 b(parametrizations)e(ha)m(v)m(e)j(also)d(b)s(een)j(made)e(a)m(v)-5
19504 b(ailable)28 b(that)i(run)0 2907 y(together)j(with)f
19505 Fm(Jetset)p Fw(,)g(see)h([Sj\177)-49 b(o89,)32 b(Mag89].)146
19506 3015 y(The)g(GKS)f(option)f(is)h(based)h(on)f(the)g(GKS)g([Gut84)o(])g
19507 (calculation,)e(where)k(some)e(of)f(the)i(original)0
19508 3123 y(mistak)m(es)d(in)g(FKSS)f([F)-8 b(ab82])29 b(ha)m(v)m(e)h(b)s
19509 (een)g(corrected.)44 b(The)30 b(GKS)e(form)m(ulae)g(ha)m(v)m(e)i(the)g
19510 (adv)-5 b(an)m(tage)29 b(of)0 3232 y(giving)36 b(the)h(second-order)i
19511 (corrections)e(in)g(closed)g(analytic)f(form,)i(as)f(not-to)s(o-long)e
19512 (functions)i(of)0 3340 y Fj(x)55 3355 y Fl(1)95 3340
19513 y Fw(,)28 b Fj(x)205 3355 y Fl(2)244 3340 y Fw(,)g(and)f(the)f
19514 Fj(y)k Fw(cut.)42 b(Ho)m(w)m(ev)m(er,)30 b(it)25 b(is)h(to)s(da)m(y)h
19515 (recognized,)h(also)d(b)m(y)i(the)g(authors,)h(that)e(imp)s(ortan)m(t)0
19516 3448 y(terms)37 b(are)g(still)e(missing,)i(and)h(that)f(the)g(matrix)f
19517 (elemen)m(ts)i(should)f(therefore)h(not)f(b)s(e)g(tak)m(en)h(to)s(o)0
19518 3557 y(seriously)-8 b(.)43 b(The)34 b(option)d(is)h(th)m(us)i(k)m(ept)g
19519 (mainly)c(for)i(bac)m(kw)m(ards)j(compatibilit)m(y)-8
19520 b(.)146 3665 y(The)36 b(ER)-8 b(T\(Zh)m(u\))36 b(generator)f([Zh)m
19521 (u83])h(is)e(based)i(on)f(the)h(ER)-8 b(T)36 b(matrix)d(elemen)m(ts)j
19522 ([Ell81)n(],)g(with)0 3774 y(a)e(Mon)m(te)g(Carlo)f(recom)m(bination)f
19523 (pro)s(cedure)j(suggested)g(b)m(y)g(Kunszt)g([Kun81])f(and)g(dev)m
19524 (elop)s(ed)h(b)m(y)0 3882 y(Ali)41 b([Ali82)m(].)73 b(It)42
19525 b(has)h(the)g(merit)d(of)i(giving)f(corrections)h(in)g(a)g(con)m(v)m
19526 (enien)m(t,)k(parametrized)c(form.)0 3990 y(F)-8 b(or)36
19527 b(practical)f(applications,)g(the)j(main)c(limitation)e(is)k(that)h
19528 (the)g(corrections)g(are)f(only)g(giv)m(en)h(for)0 4099
19529 y(discrete)c(v)-5 b(alues)33 b(of)f(the)h(cut-o\013)f(parameter)g
19530 Fj(y)t Fw(,)g(namely)g Fj(y)j Fw(=)e(0.01,)f(0.02,)g(0.03,)g(0.04,)g
19531 (and)g(0.05.)146 4207 y(The)38 b(basic)e(approac)m(h)g(is)g(the)h
19532 (follo)m(wing.)52 b(Without)35 b(an)m(y)i(loss)f(of)g(generalit)m(y)-8
19533 b(,)37 b(the)f(full)f(second-)0 4315 y(order)28 b(3-jet)f(cross)i
19534 (section)f(can)g(b)s(e)g(written)f(in)g(terms)h(of)f(the)h(`ratio)f
19535 (function')g Fj(R)q Fw(\()p Fj(X)r(;)17 b(Y)k Fw(;)c
19536 Fj(y)t Fw(\),)28 b(de\014ned)0 4424 y(b)m(y)914 4528
19537 y(1)p 891 4572 95 4 v 891 4664 a Fj(\033)946 4679 y Fl(0)1048
19538 4528 y Fw(d)p Fj(\033)1161 4492 y Fl(tot)1157 4553 y(3)p
19539 1006 4572 293 4 v 1006 4664 a Fw(d)p Fj(X)d Fw(d)p Fj(Y)1336
19540 4596 y Fw(=)1449 4528 y Fj(\013)1511 4543 y Fl(s)p 1449
19541 4572 95 4 v 1467 4664 a Fj(\031)1553 4596 y(A)1626 4611
19542 y Fl(0)1666 4596 y Fw(\()p Fj(X)r(;)17 b(Y)k Fw(\))1964
19543 4474 y Fg(\032)2026 4596 y Fw(1)h(+)2205 4528 y Fj(\013)2267
19544 4543 y Fl(s)p 2205 4572 V 2222 4664 a Fj(\031)2309 4596
19545 y(R)q Fw(\()p Fj(X)r(;)17 b(Y)k Fw(;)c Fj(y)t Fw(\))2761
19546 4474 y Fg(\033)2871 4596 y Fj(;)708 b Fw(\(33\))0 4810
19547 y(where)47 b Fj(X)57 b Fw(=)50 b Fj(x)614 4825 y Fl(1)684
19548 4810 y Fn(\000)32 b Fj(x)848 4825 y Fl(2)937 4810 y Fw(=)50
19549 b Fj(x)1118 4825 y Fl(q)1190 4810 y Fn(\000)32 b Fj(x)p
19550 1354 4787 42 4 v 15 x Fl(q)1396 4810 y Fw(,)48 b Fj(Y)71
19551 b Fw(=)50 b Fj(x)1780 4825 y Fl(3)1869 4810 y Fw(=)f
19552 Fj(x)2049 4825 y Fh(g)2090 4810 y Fw(,)g Fj(\033)2221
19553 4825 y Fl(0)2306 4810 y Fw(is)c(the)h(lo)m(w)m(est-order)g(hadronic)f
19554 (cross)0 4919 y(section,)33 b(and)f Fj(A)615 4934 y Fl(0)655
19555 4919 y Fw(\()p Fj(X)r(;)17 b(Y)k Fw(\))32 b(the)h(standard)f
19556 (\014rst-order)h(3-jet)f(cross)h(section,)f(cf.)44 b(eq.)33
19557 b(\(26\).)43 b(By)33 b(Mon)m(te)0 5027 y(Carlo)k(in)m(tegration,)g(the)
19558 h(v)-5 b(alue)37 b(of)g Fj(R)q Fw(\()p Fj(X)r(;)17 b(Y)k
19559 Fw(;)c Fj(y)t Fw(\))37 b(is)g(ev)-5 b(aluated)37 b(in)g(bins)h(of)f(\()
19560 p Fj(X)r(;)17 b(Y)k Fw(\),)39 b(and)e(the)i(result)0
19561 5135 y(parametrized)32 b(b)m(y)h(a)f(simple)g(function)g
19562 Fj(F)14 b Fw(\()p Fj(X)r(;)j(Y)k Fw(;)c Fj(y)t Fw(\).)146
19563 5244 y(In)35 b(order)f(to)g(obtain)f(the)i(second-order)g(3-jet)e
19564 (rate,)i(a)f(small)e(cut)i Fj(y)2706 5259 y Fl(0)2776
19565 5244 y Fw(=)c(10)2980 5208 y Fk(\000)p Fl(7)3108 5244
19566 y Fw(w)m(as)35 b(in)m(tro)s(duced.)0 5352 y(It)48 b(w)m(as)i(assumed)f
19567 (that)f(four-parton)f(ev)m(en)m(ts)k(whic)m(h)e(fail)d(this)i(cut)h
19568 (can)g(b)s(e)f(\(partly\))g(cancelled)0 5460 y(analytically)23
19569 b(against)i(the)i(virtual)d(3-jet)h(ev)m(en)m(ts,)30
19570 b(to)c(giv)m(e)g(a)f(net)i(`regularized)e(virtual')g(con)m(tribution)0
19571 5569 y(to)32 b(the)h(3-jet)f(rate.)44 b(F)-8 b(or)31
19572 b(a)i(giv)m(en)f(c)m(hoice)h(of)f Fj(y)k Fw(cut,)d(in)f(the)h(ph)m
19573 (ysical)g(range)f Fj(y)f Fn(\035)c Fj(y)3117 5584 y Fl(0)3156
19574 5569 y Fw(,)33 b(an)f(additional)1841 5953 y(72)p eop
19575 %%Page: 73 79
19576 73 78 bop 0 -18 a Fw(`soft')34 b(con)m(tribution)f(comes)h(from)f
19577 (four-parton)g(ev)m(en)m(ts)j(whic)m(h)e(surviv)m(e)i(the)e
19578 Fj(y)2970 -3 y Fl(0)3043 -18 y Fw(cut)g(but)g(fail)e(the)i
19579 Fj(y)0 90 y Fw(one.)146 198 y(A)26 b(large)e(sample)g(\(9)16
19580 b(000)g(000\))24 b(of)h(four-parton)f(ev)m(en)m(ts)k(w)m(as)e
19581 (generated)g(inside)f(the)g Fj(y)3267 213 y Fl(0)3332
19582 198 y Fw(cut)g(region.)0 307 y(F)-8 b(or)47 b(ev)m(en)m(ts)i(whic)m(h)g
19583 (failed)c(the)j(more)f(stringen)m(t)h Fj(y)i Fw(cuts,)i(the)c(parton)g
19584 (pair)e(with)h(the)h(smallest)0 415 y(in)m(v)-5 b(arian)m(t)28
19585 b(mass)i(w)m(as)h(recom)m(bined)f(in)m(to)f(an)g(e\013ectiv)m(e)i(jet,)
19586 g(using)e(the)h(`p0')g(recom)m(bination)e(sc)m(heme.)0
19587 523 y(This)39 b(means)f(that)h(the)g(individual)d(three-momen)m(ta)h(w)
19588 m(ere)j(added,)h Fo(p)2684 538 y Fh(ij)2783 523 y Fw(=)d
19589 Fo(p)2959 538 y Fh(i)3013 523 y Fw(+)26 b Fo(p)3177 538
19590 y Fh(j)3214 523 y Fw(,)40 b(the)f(mass)g(of)0 632 y(the)h(recom)m
19591 (bined)g(pair)f(w)m(as)h(set)h(to)e(zero)h(for)g(the)g(calculation)d
19592 (of)i(energy)-8 b(,)43 b Fj(E)2963 647 y Fh(ij)3064 632
19593 y Fw(=)c Fn(j)p Fo(p)3269 647 y Fh(i)3324 632 y Fw(+)27
19594 b Fo(p)3489 647 y Fh(j)3526 632 y Fn(j)p Fw(,)41 b(and)0
19595 740 y(\014nally)34 b(all)g(four-momen)m(ta)f(w)m(ere)k(rescaled)f(b)m
19596 (y)g(a)g(common)e(factor)h(so)g(as)h(to)f(preserv)m(e)j(the)e(correct)0
19597 848 y(c.m.)43 b(frame)32 b(energy)-8 b(.)146 957 y(In)34
19598 b(calculating)d(the)j Fn(O)s Fw(\()p Fj(\013)1115 920
19599 y Fl(2)1114 981 y(s)1154 957 y Fw(\))f(correction)g(functions,)h(care)f
19600 (w)m(as)i(tak)m(en)f(to)f(main)m(tain)e(the)j(\015a)m(v)m(our)0
19601 1065 y(signature)c(of)g(the)h(jets)g(in)e(the)i(recom)m(bination)d(pro)
19602 s(cess.)44 b(A)31 b(quark)g(and)f(a)g(gluon)g(w)m(ere)h(recom)m(bined)0
19603 1173 y(in)m(to)h(a)h(quark)h(with)e(the)i(same)e(\015a)m(v)m(our)i(as)f
19604 (the)h(original)c(quark,)j(t)m(w)m(o)h(gluons)f(w)m(ere)h(recom)m
19605 (bined)f(to)0 1282 y(form)d(a)h(gluon,)g(etc.)44 b(In)31
19606 b(some)h(cases)g(the)g(three)g(jets)g(of)f(the)h(\014nal)f(state)h(w)m
19607 (ere)g(not)g(in)e(the)i(standard)0 1390 y(q)p 51 1337
19608 52 4 v(q)q(g)j(con\014guration.)48 b(The)35 b(probabilit)m(y)e(for)g
19609 (this)h(to)g(happ)s(en)h(corresp)s(onded)h(to)e(less)g(than)h(0.5\045)f
19610 (of)0 1498 y(the)42 b(total)e(cross)j(section,)h(ev)m(en)f(for)e(the)h
19611 (most)f(stringen)m(t)h(cuts)g(used.)72 b(F)-8 b(or)41
19612 b(these)i(non-q)p 3452 1445 V(q)q(g)f(\014nal)0 1607
19613 y(states,)34 b(the)f(assignmen)m(t)f(of)g(q,)p 1197 1554
19614 V 33 w(q)h(and)g(g)g(w)m(as)h(done)f(at)f(random.)146
19615 1715 y(The)e(sum)e(of)h(`regularized)e(virtual')h(\(1)16
19616 b(000)g(000)27 b(3-jet)h(ev)m(en)m(ts)j(w)m(ere)f(generated,)g(with)f
19617 (ev)-5 b(aluated)0 1823 y(second-order)34 b(w)m(eigh)m(ts\))g(and)g
19618 (`soft')f(corrections,)h(normalized)e(to)h(the)g(\014rst-order)h(3-jet)
19619 f(cross)h(sec-)0 1932 y(tion,)40 b(w)m(as)g(tabulated)e(in)h(the)g(\()p
19620 Fj(X)r(;)17 b(Y)22 b Fw(\))39 b(plane,)h(using)f(bins)g(of)g(size)g(0)p
19621 Fj(:)p Fw(05)26 b Fn(\002)h Fw(0)p Fj(:)p Fw(05.)63 b(This)39
19622 b(estimated)0 2040 y Fj(R)q Fw(-function)32 b(b)s(eha)m(viour)g(w)m(as)
19623 i(then)f(\014t)g(with)f(a)g(12-parameter)f(function)h
19624 Fj(F)14 b Fw(,)338 2210 y Fj(F)g Fw(\()p Fj(X)r(;)j(Y)k
19625 Fw(;)c Fj(y)t Fw(\))82 b(=)h Fj(p)1082 2225 y Fl(1)1144
19626 2210 y Fw(+)22 b Fj(p)1291 2225 y Fl(2)1330 2210 y Fj(X)1419
19627 2169 y Fl(2)1480 2210 y Fw(+)g Fj(p)1627 2225 y Fl(3)1667
19628 2210 y Fj(X)1756 2169 y Fl(4)1817 2210 y Fw(+)g(\()p
19629 Fj(p)2002 2225 y Fl(4)2064 2210 y Fw(+)g Fj(p)2211 2225
19630 y Fl(5)2250 2210 y Fj(X)2339 2169 y Fl(2)2378 2210 y
19631 Fw(\))p Fj(Y)44 b Fw(+)22 b(\()p Fj(p)2702 2225 y Fl(6)2763
19632 2210 y Fw(+)g Fj(p)2910 2225 y Fl(7)2949 2210 y Fj(X)3038
19633 2169 y Fl(2)3078 2210 y Fw(\))p Fj(Y)3194 2169 y Fl(2)3255
19634 2210 y Fw(+)1033 2352 y(\()p Fj(p)1120 2367 y Fl(8)1181
19635 2352 y Fw(+)h Fj(p)1329 2367 y Fl(9)1368 2352 y Fj(X)1457
19636 2311 y Fl(2)1496 2352 y Fw(\))p Fj(Y)1612 2311 y Fl(3)1674
19637 2352 y Fw(+)f Fj(p)1821 2367 y Fl(10)1896 2352 y Fj(=)p
19638 Fw(\()p Fj(X)2072 2311 y Fl(2)2133 2352 y Fn(\000)g Fj(Y)2311
19639 2311 y Fl(2)2350 2352 y Fw(\))g(+)g Fj(p)2557 2367 y
19640 Fl(11)2632 2352 y Fj(=)p Fw(\(1)f Fn(\000)i Fj(Y)e Fw(\))h(+)g
19641 Fj(p)3174 2367 y Fl(12)3249 2352 y Fj(=)5 b(Y)54 b(:)165
19642 b Fw(\(34\))0 2522 y(The)34 b(parameters)e Fj(p)754 2537
19643 y Fh(i)815 2522 y Fw(are)g(repro)s(duced)i(in)e([Sj\177)-49
19644 b(o89)o(].)0 2764 y Fo(6.1.5)112 b(The)38 b(matrix-elemen)m(t)d(ev)m
19645 (en)m(t)j(generator)f(sc)m(heme)0 2937 y Fw(The)c(program)d(con)m
19646 (tains)i(parametrizations,)e(separately)-8 b(,)32 b(of)f(the)i(total)d
19647 (\014rst-order)i(3-jet)f(rate,)h(the)0 3045 y(total)i(second-order)j
19648 (3-jet)e(rate,)i(and)e(the)i(total)d(4-jet)h(rate,)h(all)e(as)i
19649 (functions)g(of)f Fj(y)k Fw(\(with)c Fj(\013)3540 3060
19650 y Fl(s)3608 3045 y Fw(as)h(a)0 3154 y(separate)d(prefactor\).)44
19651 b(These)34 b(parametrizations)d(ha)m(v)m(e)i(b)s(een)h(obtained)e(as)h
19652 (follo)m(ws:)145 3267 y Fn(\017)49 b Fw(The)42 b(\014rst-order)g(3-jet)
19653 e(matrix)g(elemen)m(t)h(is)g(almost)f(analytically)e(in)m(tegrable;)45
19654 b(some)c(small)244 3375 y(\014nite)26 b(pieces)h(w)m(ere)g(obtained)f
19655 (b)m(y)h(a)f(truncated)h(series)g(expansion)g(of)f(the)g(relev)-5
19656 b(an)m(t)27 b(in)m(tegrand.)145 3493 y Fn(\017)49 b Fw(The)35
19657 b(GKS)e(second-order)i(3-jet)e(matrix)g(elemen)m(ts)h(w)m(ere)h(in)m
19658 (tegrated)f(for)f(40)g(di\013eren)m(t)h Fj(y)t Fw(-cut)244
19659 3601 y(v)-5 b(alues,)35 b(ev)m(enly)h(distributed)f(in)f(ln)15
19660 b Fj(y)38 b Fw(b)s(et)m(w)m(een)f(a)e(smallest)e(v)-5
19661 b(alue)34 b Fj(y)h Fw(=)c(0)p Fj(:)p Fw(001)j(and)h(the)g(kine-)244
19662 3710 y(matical)27 b(limit)f Fj(y)k Fw(=)e(1)p Fj(=)p
19663 Fw(3.)42 b(F)-8 b(or)28 b(eac)m(h)j Fj(y)h Fw(v)-5 b(alue,)30
19664 b(250)16 b(000)28 b(phase-space)k(p)s(oin)m(ts)d(w)m(ere)i(generated,)
19665 244 3818 y(ev)m(enly)h(in)d(d)17 b(ln\(1)g Fn(\000)i
19666 Fj(x)1062 3833 y Fh(i)1090 3818 y Fw(\))28 b(=)g(d)p
19667 Fj(x)1369 3833 y Fh(i)1397 3818 y Fj(=)p Fw(\(1)18 b
19668 Fn(\000)g Fj(x)1701 3833 y Fh(i)1730 3818 y Fw(\),)31
19669 b Fj(i)d Fw(=)f(1)p Fj(;)17 b Fw(2,)31 b(and)f(the)h(second-order)h
19670 (3-jet)e(rate)g(in)g(the)244 3926 y(p)s(oin)m(t)f(ev)-5
19671 b(aluated.)42 b(The)31 b(prop)s(erly)f(normalized)e(sum)i(of)f(w)m
19672 (eigh)m(ts)i(in)e(eac)m(h)i(of)f(the)g(40)g Fj(y)j Fw(p)s(oin)m(ts)244
19673 4035 y(w)m(ere)f(then)f(\014tted)g(to)f(a)g(p)s(olynomial)c(in)k(ln)o
19674 (\()p Fj(y)1925 3999 y Fk(\000)p Fl(1)2036 4035 y Fn(\000)19
19675 b Fw(2\).)42 b(F)-8 b(or)30 b(the)g(ER)-8 b(T\(Zh)m(u\))31
19676 b(matrix)e(elemen)m(ts)244 4143 y(the)h(parametrizations)e(in)g(eq.)j
19677 (\(34\))e(w)m(ere)i(used)g(to)e(p)s(erform)g(a)g(corresp)s(onding)h
19678 (Mon)m(te)g(Carlo)244 4251 y(in)m(tegration)h(for)h(the)h(\014v)m(e)h
19679 Fj(y)h Fw(v)-5 b(alues)33 b(a)m(v)-5 b(ailable.)145 4369
19680 y Fn(\017)49 b Fw(The)30 b(4-jet)f(rate)h(w)m(as)h(in)m(tegrated)e(n)m
19681 (umerically)-8 b(,)28 b(separately)i(for)g(q)p 2707 4316
19682 V(q)q(gg)g(and)g(q)p 3125 4316 V(q)q(q)3228 4333 y Fk(0)p
19683 3252 4316 V 3252 4369 a Fw(q)3303 4333 y Fk(0)3356 4369
19684 y Fw(ev)m(en)m(ts,)j(b)m(y)244 4478 y(generating)27 b(large)g(samples)g
19685 (of)h(4-jet)f(phase-space)i(p)s(oin)m(ts)f(within)e(the)j(b)s(oundary)f
19686 Fj(y)j Fw(=)c(0)p Fj(:)p Fw(001.)244 4586 y(Eac)m(h)49
19687 b(p)s(oin)m(t)f(w)m(as)i(classi\014ed)e(according)g(to)g(the)h(actual)f
19688 (minim)m(um)d Fj(y)52 b Fw(b)s(et)m(w)m(een)f(an)m(y)e(t)m(w)m(o)244
19689 4694 y(partons.)64 b(The)40 b(same)g(ev)m(en)m(ts)h(could)e(then)h(b)s
19690 (e)g(used)g(to)f(up)s(date)h(the)g(summed)f(w)m(eigh)m(ts)h(for)244
19691 4803 y(40)c(di\013eren)m(t)h(coun)m(ters,)i(corresp)s(onding)e(to)f
19692 Fj(y)k Fw(v)-5 b(alues)37 b(ev)m(enly)h(distributed)e(in)g(ln)16
19693 b Fj(y)39 b Fw(b)s(et)m(w)m(een)244 4911 y Fj(y)31 b
19694 Fw(=)c(0)p Fj(:)p Fw(001)f(and)h(the)g(kinematical)d(limit)f
19695 Fj(y)31 b Fw(=)d(1)p Fj(=)p Fw(6.)40 b(In)27 b(fact,)h(since)f(the)g(w)
19696 m(eigh)m(t)g(sums)g(for)g(large)244 5019 y Fj(y)44 b
19697 Fw(v)-5 b(alues)41 b(only)g(receiv)m(ed)i(con)m(tributions)d(from)g
19698 (few)i(phase-space)h(p)s(oin)m(ts,)g(extra)f(\(smaller\))244
19699 5128 y(subsamples)48 b(of)f(ev)m(en)m(ts)j(w)m(ere)e(generated)h(with)e
19700 (larger)f Fj(y)51 b Fw(cuts.)89 b(The)48 b(summed)g(w)m(eigh)m(ts,)244
19701 5236 y(prop)s(erly)27 b(normalized,)g(w)m(ere)h(then)g(parametrized)f
19702 (in)g(terms)g(of)g(p)s(olynomials)d(in)j(ln)o(\()p Fj(y)3471
19703 5200 y Fk(\000)p Fl(1)3577 5236 y Fn(\000)12 b Fw(5\).)244
19704 5344 y(Since)30 b(it)g(turned)h(out)f(to)g(b)s(e)g(di\016cult)g(to)g
19705 (obtain)f(one)h(single)g(go)s(o)s(d)f(\014t)h(o)m(v)m(er)i(the)e(whole)
19706 g(range)244 5453 y(of)43 b Fj(y)j Fw(v)-5 b(alues,)45
19707 b(di\013eren)m(t)f(parametrizations)d(are)i(used)h(ab)s(o)m(v)m(e)g
19708 (and)f(b)s(elo)m(w)g Fj(y)49 b Fw(=)d(0)p Fj(:)p Fw(018.)74
19709 b(As)244 5561 y(originally)29 b(giv)m(en,)j(the)h(q)p
19710 1175 5508 V(q)q(q)1278 5525 y Fk(0)p 1302 5508 V 1302
19711 5561 a Fw(q)1354 5525 y Fk(0)1409 5561 y Fw(parametrization)d(only)i
19712 (to)s(ok)g(in)m(to)g(accoun)m(t)i(four)e(q)3368 5525
19713 y Fk(0)3424 5561 y Fw(\015a)m(v)m(ours,)244 5669 y(i.e.)43
19714 b(secondary)34 b(b)p 919 5590 55 4 v(b)f(pairs)f(w)m(ere)i(not)e
19715 (generated,)i(but)f(this)f(has)h(b)s(een)g(corrected)h(for)e(LEP)-8
19716 b(.)1841 5953 y(73)p eop
19717 %%Page: 74 80
19718 74 79 bop 146 -18 a Fw(In)29 b(the)g(generation)f(stage,)h(eac)m(h)h
19719 (ev)m(en)m(t)g(is)e(treated)h(on)f(its)g(o)m(wn,)i(whic)m(h)f(means)g
19720 (that)f(the)h Fj(\013)3562 -3 y Fl(s)3622 -18 y Fw(and)0
19721 90 y Fj(y)36 b Fw(v)-5 b(alues)32 b(ma)m(y)g(b)s(e)h(allo)m(w)m(ed)f
19722 (to)g(v)-5 b(ary)33 b(from)e(ev)m(en)m(t)k(to)d(ev)m(en)m(t.)45
19723 b(The)34 b(main)d(steps)j(are)e(the)h(follo)m(wing.)119
19724 203 y(1.)49 b(The)f Fj(y)j Fw(v)-5 b(alue)46 b(to)h(b)s(e)h(used)g(in)f
19725 (the)g(curren)m(t)i(ev)m(en)m(t)g(is)e(determined.)87
19726 b(If)48 b(p)s(ossible,)i(this)d(is)244 311 y(the)d(v)-5
19727 b(alue)44 b(giv)m(en)g(b)m(y)h(y)m(ou,)j(but)c(additional)d(constrain)m
19728 (ts)k(exist)f(from)f(the)h(v)-5 b(alidit)m(y)42 b(of)i(the)244
19729 420 y(parametrizations)g(\()p Fj(y)53 b Fn(\025)f Fw(0)p
19730 Fj(:)p Fw(001)45 b(for)g(GKS,)h(0)p Fj(:)p Fw(01)k Fn(\024)h
19731 Fj(y)j Fn(\024)d Fw(0)p Fj(:)p Fw(05)45 b(for)h(ER)-8
19732 b(T\(Zh)m(u\)\))46 b(and)h(an)244 528 y(extra)30 b(\(user-mo)s
19733 (di\014able\))f(requiremen)m(t)h(of)g(a)g(minim)m(um)d(absolute)j(in)m
19734 (v)-5 b(arian)m(t)28 b(mass)i(b)s(et)m(w)m(een)244 636
19735 y(jets)44 b(\(whic)m(h)g(translates)f(in)m(to)f(v)-5
19736 b(arying)43 b Fj(y)k Fw(cuts)d(due)g(to)f(the)h(e\013ects)g(of)f
19737 (initial-state)d(QED)244 745 y(radiation\).)119 862 y(2.)49
19738 b(The)33 b Fj(\013)506 877 y Fl(s)571 862 y Fw(v)-5 b(alue)32
19739 b(is)g(calculated.)119 980 y(3.)49 b(F)-8 b(or)42 b(the)h
19740 Fj(y)i Fw(and)e Fj(\013)962 995 y Fl(s)1036 980 y Fw(v)-5
19741 b(alues)43 b(giv)m(en,)i(the)e(relativ)m(e)f(t)m(w)m(o/three/4-jet)h
19742 (comp)s(osition)d(is)i(deter-)244 1089 y(mined.)58 b(This)38
19743 b(is)f(ac)m(hiev)m(ed)i(b)m(y)f(using)g(the)g(parametrized)f(functions)
19744 g(of)h Fj(y)i Fw(for)d(3-)g(and)h(4-jet)244 1197 y(rates,)e(m)m
19745 (ultiplied)31 b(b)m(y)36 b(the)f(relev)-5 b(an)m(t)35
19746 b(n)m(um)m(b)s(er)g(of)g(factors)f(of)h Fj(\013)2623
19747 1212 y Fl(s)2655 1197 y Fw(.)50 b(In)35 b(ER)-8 b(T\(Zh)m(u\),)36
19748 b(where)g(the)244 1305 y(second-order)h(3-jet)e(rate)h(is)f(a)m(v)-5
19749 b(ailable)33 b(only)j(at)f(a)h(few)g Fj(y)j Fw(v)-5 b(alues,)37
19750 b(in)m(termediate)d(results)i(are)244 1414 y(obtained)25
19751 b(b)m(y)i(linear)d(in)m(terp)s(olation)f(in)i(the)i(ratio)d(of)h
19752 (second-order)i(to)f(\014rst-order)g(3-jet)f(rates.)244
19753 1522 y(The)32 b(3-jet)f(and)g(4-jet)g(rates)h(are)f(normalized)e(to)i
19754 (the)h(analytically)c(kno)m(wn)33 b(second-order)f(to-)244
19755 1630 y(tal)j(ev)m(en)m(t)i(rate,)g(i.e.)53 b(divided)36
19756 b(b)m(y)h Fj(R)1625 1645 y Fl(QCD)1825 1630 y Fw(of)e(eq.)i(\(25\).)53
19757 b(Finally)-8 b(,)34 b(the)i(2-jet)g(rate)g(is)f(obtained)244
19758 1739 y(b)m(y)e(conserv)-5 b(ation)33 b(of)f(total)f(probabilit)m(y)-8
19759 b(.)119 1856 y(4.)49 b(If)33 b(the)h(com)m(bination)d(of)i
19760 Fj(y)j Fw(and)d Fj(\013)1515 1871 y Fl(s)1581 1856 y
19761 Fw(v)-5 b(alues)33 b(is)g(suc)m(h)h(that)f(the)h(total)e(3-)g(plus)h
19762 (4-jet)g(fraction)f(is)244 1965 y(larger)27 b(than)h(unit)m(y)-8
19763 b(,)29 b(i.e.)41 b(the)28 b(remainder)f(2-jet)h(fraction)e(negativ)m
19764 (e,)k(the)e Fj(y)t Fw(-cut)f(v)-5 b(alue)27 b(is)h(raised)244
19765 2073 y(\(for)k(that)g(ev)m(en)m(t\),)j(and)d(the)h(pro)s(cess)h(is)e
19766 (started)h(o)m(v)m(er)h(at)e(p)s(oin)m(t)g(3.)119 2191
19767 y(5.)49 b(The)c(c)m(hoice)g(is)g(made)f(b)s(et)m(w)m(een)j(generating)d
19768 (a)g(2-,)j(3-)d(or)g(4-jet)g(ev)m(en)m(t,)50 b(according)44
19769 b(to)g(the)244 2299 y(relativ)m(e)32 b(probabilities.)119
19770 2417 y(6.)49 b(F)-8 b(or)43 b(the)h(generation)g(of)f(4-jets,)k(it)c
19771 (is)g(\014rst)i(necessary)h(to)e(mak)m(e)g(a)f(c)m(hoice)i(b)s(et)m(w)m
19772 (een)h(q)p 3629 2364 52 4 v(q)q(gg)244 2525 y(and)36
19773 b(q)p 488 2473 V(q)q(q)591 2489 y Fk(0)p 615 2473 V 615
19774 2525 a Fw(q)667 2489 y Fk(0)726 2525 y Fw(ev)m(en)m(ts,)k(according)c
19775 (to)g(the)h(relativ)m(e)e(\(parametrized\))h(total)f(cross)i(sections.)
19776 55 b(A)244 2634 y(phase-space)34 b(p)s(oin)m(t)d(is)h(then)h(selected,)
19777 h(and)e(the)h(di\013eren)m(tial)e(cross)i(section)f(at)g(this)g(p)s
19778 (oin)m(t)g(is)244 2742 y(ev)-5 b(aluated)32 b(and)h(compared)g(with)g
19779 (a)f(parametrized)g(maxim)m(um)f(w)m(eigh)m(t.)45 b(If)33
19780 b(the)g(phase-space)244 2850 y(p)s(oin)m(t)f(is)g(rejected,)i(a)e(new)h
19781 (one)g(is)f(selected,)i(un)m(til)d(an)i(acceptable)g(4-jet)f(ev)m(en)m
19782 (t)i(is)e(found.)119 2968 y(7.)49 b(F)-8 b(or)33 b(3-jets,)g(a)g
19783 (phase-space)i(p)s(oin)m(t)e(is)g(\014rst)h(c)m(hosen)h(according)e(to)
19784 g(the)h(\014rst-order)f(cross)i(sec-)244 3077 y(tion.)42
19785 b(F)-8 b(or)32 b(this)g(p)s(oin)m(t,)g(the)h(w)m(eigh)m(t)1310
19786 3304 y Fj(W)14 b Fw(\()p Fj(x)1509 3319 y Fl(1)1549 3304
19787 y Fj(;)j(x)1648 3319 y Fl(2)1687 3304 y Fw(;)g Fj(y)t
19788 Fw(\))27 b(=)g(1)22 b(+)2130 3236 y Fj(\013)2192 3251
19789 y Fl(s)p 2130 3280 95 4 v 2148 3372 a Fj(\031)2234 3304
19790 y(R)q Fw(\()p Fj(x)2402 3319 y Fl(1)2442 3304 y Fj(;)17
19791 b(x)2541 3319 y Fl(2)2580 3304 y Fw(;)g Fj(y)t Fw(\))892
19792 b(\(35\))244 3544 y(is)43 b(ev)-5 b(aluated.)76 b(Here)44
19793 b Fj(R)q Fw(\()p Fj(x)1269 3559 y Fl(1)1309 3544 y Fj(;)17
19794 b(x)1408 3559 y Fl(2)1448 3544 y Fw(;)g Fj(y)t Fw(\))42
19795 b(is)h(analytically)e(giv)m(en)j(for)f(GKS)g([Gut84)o(],)k(while)42
19796 b(it)h(is)244 3652 y(appro)m(ximated)32 b(b)m(y)i(the)g
19797 (parametrization)d Fj(F)14 b Fw(\()p Fj(X)r(;)j(Y)k Fw(;)c
19798 Fj(y)t Fw(\))31 b(of)i(eq.)h(\(34\))f(for)g(ER)-8 b(T\(Zh)m(u\).)45
19799 b(Again,)244 3761 y(linear)33 b(in)m(terp)s(olation)e(of)j
19800 Fj(F)14 b Fw(\()p Fj(X)r(;)j(Y)k Fw(;)c Fj(y)t Fw(\))33
19801 b(has)i(to)f(b)s(e)h(applied)e(for)h(in)m(termediate)f
19802 Fj(y)38 b Fw(v)-5 b(alues.)49 b(The)244 3869 y(w)m(eigh)m(t)33
19803 b Fj(W)46 b Fw(is)32 b(compared)g(with)h(a)f(maxim)m(um)e(w)m(eigh)m(t)
19804 1429 4096 y Fj(W)1521 4111 y Fl(max)1657 4096 y Fw(\()p
19805 Fj(y)t Fw(\))c(=)i(1)22 b(+)2094 4029 y Fj(\013)2156
19806 4044 y Fl(s)p 2094 4073 V 2111 4164 a Fj(\031)2198 4096
19807 y(R)2272 4111 y Fl(max)2408 4096 y Fw(\()p Fj(y)t Fw(\))31
19808 b Fj(;)1012 b Fw(\(36\))244 4331 y(whic)m(h)38 b(has)g(b)s(een)h(n)m
19809 (umerically)d(determined)i(b)s(eforehand)g(and)g(suitably)f
19810 (parametrized.)59 b(If)244 4439 y(the)33 b(phase-space)h(p)s(oin)m(t)e
19811 (is)g(rejected,)i(a)e(new)i(p)s(oin)m(t)d(is)h(generated,)i(etc.)119
19812 4557 y(8.)49 b(Massiv)m(e)41 b(matrix)e(elemen)m(ts)h(are)g(not)g(a)m
19813 (v)-5 b(ailable)38 b(in)h Fm(Jetset)g Fw(for)g(second-order)i(QCD)f
19814 (\(but)244 4665 y(are)32 b(in)f(the)i(\014rst-order)f(option\).)42
19815 b(Ho)m(w)m(ev)m(er,)35 b(if)c(a)g(3-)h(or)f(4-jet)h(ev)m(en)m(t)i
19816 (determined)d(ab)s(o)m(v)m(e)i(falls)244 4774 y(outside)c(the)h
19817 (phase-space)h(region)e(allo)m(w)m(ed)f(for)h(massiv)m(e)h(quarks,)i
19818 (the)d(ev)m(en)m(t)j(is)d(rejected)h(and)244 4882 y(reassigned)39
19819 b(to)f(b)s(e)g(a)g(2-jet)g(ev)m(en)m(t.)62 b(\(The)40
19820 b(w)m(a)m(y)f(the)g Fj(y)2280 4897 y Fh(ij)2378 4882
19821 y Fw(and)g Fj(y)2622 4897 y Fh(ij)t(k)2759 4882 y Fw(v)-5
19822 b(ariables)37 b(of)g(4-jet)h(ev)m(en)m(ts)244 4990 y(should)g(b)s(e)h
19823 (in)m(terpreted)g(for)f(massiv)m(e)h(quarks)h(is)e(not)g(ev)m(en)j
19824 (unique,)f(so)f(some)f(latitute)f(has)244 5099 y(b)s(een)e(tak)m(en)h
19825 (here)g(to)e(pro)m(vide)h(a)f(reasonable)h(con)m(tin)m(uit)m(y)g(from)e
19826 (3-jet)h(ev)m(en)m(ts.\))53 b(This)35 b(pro)s(ce-)244
19827 5207 y(dure)j(is)g(kno)m(wn)h(not)f(to)g(giv)m(e)f(the)i(exp)s(ected)h
19828 (full)c(mass)i(suppression,)i(but)e(is)g(a)g(reasonable)244
19829 5315 y(\014rst)33 b(appro)m(ximation.)119 5433 y(9.)49
19830 b(Finally)-8 b(,)37 b(if)f(the)j(ev)m(en)m(t)h(is)d(classi\014ed)h(as)g
19831 (a)g(2-jet)f(ev)m(en)m(t,)k(either)d(b)s(ecause)i(it)d(w)m(as)h
19832 (initially)c(so)244 5542 y(assigned,)46 b(or)c(b)s(ecause)i(it)e
19833 (failed)f(the)i(massiv)m(e)g(phase-space)i(cuts)f(for)e(3-)g(and)h
19834 (4-jets,)i(the)244 5650 y(generation)32 b(of)g(2-jets)g(is)g(trivial.)
19835 1841 5953 y(74)p eop
19836 %%Page: 75 81
19837 75 80 bop 0 -18 a Fo(6.1.6)112 b(Optimized)36 b(p)s(erturbation)h
19838 (theory)0 154 y Fw(Theoretically)-8 b(,)24 b(it)f(turns)i(out)e(that)h
19839 (the)g(second-order)h(corrections)f(to)f(the)h(3-jet)f(rate)h(are)g
19840 (large.)39 b(It)24 b(is)0 263 y(therefore)f(not)g(unreasonable)g(to)g
19841 (exp)s(ect)h(large)e(third-order)g(corrections)h(to)f(the)i(4-jet)e
19842 (rate.)40 b(Indeed,)0 371 y(the)26 b(exp)s(erimen)m(tal)e(4-jet)h(rate)
19843 g(is)g(m)m(uc)m(h)h(larger)e(than)i(second)h(order)e(predicts)h(\(when)
19844 g(fragmen)m(tation)0 479 y(e\013ects)34 b(ha)m(v)m(e)g(b)s(een)f
19845 (folded)f(in\),)g(if)f Fj(\013)1371 494 y Fl(s)1436 479
19846 y Fw(is)h(determined)g(based)i(on)e(the)h(3-jet)f(rate)h([Sj\177)-49
19847 b(o84a)o(,)33 b(JAD88)o(].)146 588 y(The)e(only)e(consisten)m(t)i(w)m
19848 (a)m(y)f(to)g(resolv)m(e)g(this)f(issue)h(is)f(to)h(go)f(ahead)h(and)f
19849 (calculate)g(the)h(full)e(next)0 696 y(order.)64 b(This)39
19850 b(is)g(a)g(tough)g(task,)j(ho)m(w)m(ev)m(er,)h(so)d(p)s(eople)e(ha)m(v)
19851 m(e)j(lo)s(ok)m(ed)e(at)g(p)s(ossible)f(shortcuts.)65
19852 b(F)-8 b(or)0 804 y(example,)37 b(one)g(can)g(try)g(to)f(minimize)d
19853 (the)k(higher-order)f(con)m(tributions)g(b)m(y)h(a)f(suitable)g(c)m
19854 (hoice)h(of)0 913 y(the)h(renormalization)c(scale)j([Ste81])h(|)e
19855 (`optimized)g(p)s(erturbation)h(theory'.)58 b(This)38
19856 b(is)f(equiv)-5 b(alen)m(t)0 1021 y(to)41 b(a)g(di\013eren)m(t)g(c)m
19857 (hoice)h(for)f(the)h Fj(Q)1322 985 y Fl(2)1402 1021 y
19858 Fw(scale)g(in)e Fj(\013)1829 1036 y Fl(s)1861 1021 y
19859 Fw(,)k(a)d(scale)g(whic)m(h)h(is)f(not)g(unam)m(biguous)g(an)m(yw)m(a)m
19860 (y)-8 b(.)0 1129 y(Indeed)45 b(the)g(standard)f(v)-5
19861 b(alue)43 b Fj(Q)1266 1093 y Fl(2)1353 1129 y Fw(=)k
19862 Fj(s)g Fw(=)g Fj(E)1770 1093 y Fl(2)1764 1154 y(cm)1902
19863 1129 y Fw(is)c(larger)g(than)h(the)g(natural)f(ph)m(ysical)h(scale)g
19864 (of)0 1238 y(gluon)30 b(emission)h(in)f(ev)m(en)m(ts,)k(giv)m(en)e
19865 (that)f(most)g(gluons)g(are)h(fairly)d(soft.)43 b(One)32
19866 b(could)f(therefore)h(pic)m(k)0 1346 y(another)39 b(scale,)i
19867 Fj(Q)710 1310 y Fl(2)788 1346 y Fw(=)e Fj(f)11 b(s)p
19868 Fw(,)40 b(with)f Fj(f)49 b(<)38 b Fw(1.)63 b(The)40 b
19869 Fn(O)s Fw(\()p Fj(\013)2043 1361 y Fl(s)2075 1346 y Fw(\))f(3-jet)f
19870 (rate)h(w)m(ould)g(b)s(e)g(increased)h(b)m(y)g(suc)m(h)0
19871 1454 y(a)c(scale)g(c)m(hange,)i(and)e(so)g(w)m(ould)g(the)h(n)m(um)m(b)
19872 s(er)f(of)g(4-jet)f(ev)m(en)m(ts,)40 b(including)34 b(those)j(whic)m(h)
19873 f(collapse)0 1563 y(in)m(to)f(3-jet)h(ones.)54 b(The)37
19874 b(lo)s(op)e(corrections)h(dep)s(end)h(on)f(the)h Fj(Q)2344
19875 1527 y Fl(2)2420 1563 y Fw(scale,)g(ho)m(w)m(ev)m(er,)i(and)d(comp)s
19876 (ensate)0 1671 y(the)d(c)m(hanges)h(ab)s(o)m(v)m(e)f(b)m(y)h(giving)d
19877 (a)h(larger)f(negativ)m(e)i(con)m(tribution)f(to)g(the)h(3-jet)f(rate.)
19878 146 1779 y(The)49 b(p)s(ossibilit)m(y)d(of)h(pic)m(king)h(an)g
19879 (optimized)e(scale)i Fj(f)58 b Fw(is)48 b(implemen)m(ted)e(as)i(follo)m
19880 (ws)f([Sj\177)-49 b(o89)o(].)0 1888 y(Assume)33 b(that)g(the)g
19881 (di\013eren)m(tial)e(3-jet)g(rate)i(at)f(scale)h Fj(Q)2084
19882 1852 y Fl(2)2151 1888 y Fw(=)28 b Fj(s)k Fw(is)g(giv)m(en)h(b)m(y)g
19883 (the)g(expression)1496 2096 y Fj(R)1570 2111 y Fl(3)1637
19884 2096 y Fw(=)28 b Fj(r)1785 2111 y Fl(1)1824 2096 y Fj(\013)1886
19885 2111 y Fl(s)1940 2096 y Fw(+)22 b Fj(r)2082 2111 y Fl(2)2122
19886 2096 y Fj(\013)2185 2055 y Fl(2)2184 2120 y(s)2256 2096
19887 y Fj(;)1323 b Fw(\(37\))0 2304 y(where)38 b Fj(R)360
19888 2319 y Fl(3)399 2304 y Fw(,)g Fj(r)508 2319 y Fl(1)583
19889 2304 y Fw(and)f Fj(r)821 2319 y Fl(2)896 2304 y Fw(are)g(functions)f
19890 (of)g(the)h(kinematical)c(v)-5 b(ariables)36 b Fj(x)2764
19891 2319 y Fl(1)2840 2304 y Fw(and)g Fj(x)3088 2319 y Fl(2)3164
19892 2304 y Fw(and)h(the)g Fj(y)i Fw(cut,)0 2412 y(as)34 b(describ)s(ed)h
19893 (ab)s(o)m(v)m(e.)47 b(When)35 b(the)f(coupling)f(is)g(c)m(hosen)i(at)f
19894 (a)f(di\013eren)m(t)h(scale,)g Fj(Q)3058 2376 y Fk(0)p
19895 Fl(2)3147 2412 y Fw(=)29 b Fj(f)11 b(s)p Fw(,)34 b(the)g(3-jet)0
19896 2520 y(rate)f(has)f(to)h(b)s(e)f(c)m(hanged)i(to)1486
19897 2629 y Fj(R)1561 2588 y Fk(0)1560 2653 y Fl(3)1628 2629
19898 y Fw(=)27 b Fj(r)1778 2588 y Fk(0)1775 2653 y Fl(1)1815
19899 2629 y Fj(\013)1878 2588 y Fk(0)1877 2653 y Fl(s)1931
19900 2629 y Fw(+)22 b Fj(r)2073 2644 y Fl(2)2112 2629 y Fj(\013)2175
19901 2588 y Fk(0)p Fl(2)2174 2653 y(s)2266 2629 y Fj(;)1313
19902 b Fw(\(38\))0 2791 y(where)34 b Fj(r)329 2755 y Fk(0)326
19903 2816 y Fl(1)393 2791 y Fw(=)27 b Fj(r)540 2806 y Fl(1)580
19904 2791 y Fw(,)1327 2955 y Fj(r)1374 2914 y Fk(0)1371 2980
19905 y Fl(2)1438 2955 y Fw(=)g Fj(r)1585 2970 y Fl(2)1647
19906 2955 y Fw(+)22 b Fj(r)1789 2970 y Fl(1)1838 2888 y Fw(33)g
19907 Fn(\000)h Fw(2)p Fj(n)2165 2903 y Fh(f)p 1838 2932 372
19908 4 v 1946 3024 a Fw(12)p Fj(\031)2237 2955 y Fw(ln)15
19909 b Fj(f)44 b(;)1153 b Fw(\(39\))0 3161 y(and)34 b Fj(\013)254
19910 3125 y Fk(0)253 3185 y Fl(s)315 3161 y Fw(=)c Fj(\013)483
19911 3176 y Fl(s)515 3161 y Fw(\()p Fj(f)11 b(s)p Fw(\).)47
19912 b(Since)35 b(w)m(e)g(only)e(ha)m(v)m(e)i(the)g(Born)f(term)f(for)h
19913 (4-jets,)g(here)h(the)f(e\013ects)h(of)f(a)f(scale)0
19914 3269 y(c)m(hange)25 b(come)f(only)g(from)g(the)g(c)m(hange)i(in)d(the)i
19915 (coupling)e(constan)m(t.)42 b(Finally)-8 b(,)23 b(the)i(2-jet)f(cross)h
19916 (section)0 3378 y(can)34 b(still)d(b)s(e)i(calculated)f(from)g(the)i
19917 (di\013erence)g(b)s(et)m(w)m(een)i(the)d(total)f(cross)i(section)g(and)
19918 f(the)h(3-)e(and)0 3486 y(4-jet)g(cross)h(sections.)146
19919 3594 y(If)i(an)f(optimized)f(scale)h(is)g(used)h(in)f(the)h(program,)f
19920 (the)g(default)g(v)-5 b(alue)34 b(is)g Fj(f)41 b Fw(=)31
19921 b(0)p Fj(:)p Fw(002,)j(whic)m(h)h(is)0 3703 y(fa)m(v)m(oured)27
19922 b(b)m(y)g(the)g(studies)g(in)e(ref.)41 b([Bet89].)h(\(In)26
19923 b(fact,)i(it)d(is)g(also)h(p)s(ossible)f(to)h(use)h(a)f(corresp)s
19924 (ondingly)0 3811 y(optimized)36 b Fj(R)529 3826 y Fl(QCD)732
19925 3811 y Fw(factor,)j(eq.)g(\(25\),)g(but)f(then)h(the)f(corresp)s
19926 (onding)h Fj(f)48 b Fw(is)38 b(c)m(hosen)i(indep)s(enden)m(tly)0
19927 3919 y(and)29 b(m)m(uc)m(h)g(closer)f(to)h(unit)m(y)-8
19928 b(.\))42 b(The)29 b(success)i(of)e(describing)f(the)h(jet)f(rates)h
19929 (should)g(not)f(hide)h(the)g(fact)0 4028 y(that)k(one)h(is)f(dabbling)f
19930 (in)h(\(educated,)i(hop)s(efully\))e(guessw)m(ork,)j(and)d(that)h(an)m
19931 (y)g(conclusions)g(based)0 4136 y(on)e(this)h(metho)s(d)f(ha)m(v)m(e)i
19932 (to)e(b)s(e)h(tak)m(en)g(with)f(a)h(pinc)m(h)f(of)h(salt.)146
19933 4244 y(One)g(sp)s(ecial)d(problem)h(asso)s(ciated)h(with)f(the)i(use)f
19934 (of)g(optimized)e(p)s(erturbation)h(theory)h(is)g(that)0
19935 4353 y(the)42 b(di\013eren)m(tial)d(3-jet)i(rate)g(ma)m(y)h(b)s(ecome)f
19936 (negativ)m(e)h(o)m(v)m(er)g(large)e(regions)h(of)g(the)h(\()p
19937 Fj(x)3283 4368 y Fl(1)3323 4353 y Fj(;)17 b(x)3422 4368
19938 y Fl(2)3461 4353 y Fw(\))42 b(phase)0 4461 y(space.)h(This)29
19939 b(problem)f(already)g(exists,)j(at)d(least)g(in)g(principle,)g(ev)m(en)
19940 j(for)d(a)h(scale)f Fj(f)39 b Fw(=)27 b(1,)j(since)f
19941 Fj(r)3646 4476 y Fl(2)3714 4461 y Fw(is)0 4569 y(not)h(guaran)m(teed)h
19942 (to)e(b)s(e)i(p)s(ositiv)m(e)e(de\014nite.)43 b(Indeed,)32
19943 b(dep)s(ending)e(on)g(the)h(c)m(hoice)f(of)g Fj(y)j Fw(cut,)e
19944 Fj(\013)3498 4584 y Fl(s)3560 4569 y Fw(v)-5 b(alue)0
19945 4678 y(and)37 b(recom)m(bination)e(sc)m(heme,)j(one)f(ma)m(y)g(observ)m
19946 (e)h(a)e(small)f(region)g(of)i(negativ)m(e)f(di\013eren)m(tial)f(3-jet)
19947 0 4786 y(rate)25 b(for)g(the)g(full)f(second-order)i(expression.)42
19948 b(This)26 b(region)e(is)h(cen)m(tred)h(around)g(q)p 3029
19949 4733 52 4 v(qg)h(con\014gurations,)0 4894 y(where)i(the)f(q)g(and)p
19950 704 4841 V 28 w(q)g(are)f(close)h(together)g(in)f(one)h(hemisphere)g
19951 (and)f(the)h(g)h(is)e(alone)g(in)g(the)h(other,)h(i.e.)0
19952 5003 y Fj(x)55 5018 y Fl(1)124 5003 y Fn(\031)h Fj(x)286
19953 5018 y Fl(2)355 5003 y Fn(\031)g Fw(1)p Fj(=)p Fw(2.)45
19954 b(It)34 b(is)f(w)m(ell)g(understo)s(o)s(d)g(wh)m(y)i(second-order)g
19955 (corrections)e(should)h(b)s(e)g(negativ)m(e)f(in)0 5111
19956 y(this)25 b(region)g([Dok89]:)40 b(the)26 b(q)g(and)p
19957 1284 5058 V 26 w(q)g(of)g(a)f(q)p 1591 5058 V(q)q(g)i(state)f(are)g(in)
19958 f(a)g(relativ)m(e)g(colour)g(o)s(ctet)h(state,)i(and)d(th)m(us)0
19959 5219 y(the)33 b(colour)f(force)g(b)s(et)m(w)m(een)j(them)d(is)g
19960 (repulsiv)m(e,)h(whic)m(h)g(translates)g(in)m(to)e(a)i(negativ)m(e)f
19961 (second-order)0 5328 y(term.)146 5436 y(Ho)m(w)m(ev)m(er,)27
19962 b(as)c Fj(f)33 b Fw(is)22 b(decreased)j(b)s(elo)m(w)d(unit)m(y)-8
19963 b(,)25 b Fj(r)1846 5400 y Fk(0)1843 5461 y Fl(2)1905
19964 5436 y Fw(receiv)m(es)f(a)e(negativ)m(e)h(con)m(tribution)f(from)f(the)
19965 i(ln)16 b Fj(f)0 5544 y Fw(term,)27 b(and)f(the)h(region)e(of)g
19966 (negativ)m(e)i(di\013eren)m(tial)d(cross)j(section)f(has)h(a)f
19967 (tendency)i(to)d(b)s(ecome)i(larger,)0 5653 y(also)39
19968 b(after)h(taking)g(in)m(to)f(accoun)m(t)i(related)f(c)m(hanges)i(in)d
19969 Fj(\013)2208 5668 y Fl(s)2240 5653 y Fw(.)67 b(In)40
19970 b(an)h(ev)m(en)m(t-generator)g(framew)m(ork,)1841 5953
19971 y(75)p eop
19972 %%Page: 76 82
19973 76 81 bop 0 -18 a Fw(where)48 b(all)d(ev)m(en)m(ts)k(are)d(supp)s(osed)
19974 j(to)d(come)g(with)h(unit)f(w)m(eigh)m(t,)51 b(it)45
19975 b(is)h(clearly)g(not)h(p)s(ossible)f(to)0 90 y(sim)m(ulate)30
19976 b(negativ)m(e)i(cross)h(sections.)44 b(What)32 b(happ)s(ens)h(in)e(the)
19977 h(program)e(is)h(therefore)i(that)e(no)h(3-jet)0 198
19978 y(ev)m(en)m(ts)39 b(at)e(all)e(are)i(generated)h(in)f(the)g(regions)g
19979 (of)f(negativ)m(e)i(di\013eren)m(tial)d(cross)j(section,)g(and)g(that)0
19980 307 y(the)c(3-jet)e(rate)h(in)f(regions)h(of)g(p)s(ositiv)m(e)f(cross)i
19981 (sections)g(is)f(reduced)h(b)m(y)g(a)f(constan)m(t)h(factor,)f(c)m
19982 (hosen)0 415 y(so)39 b(that)g(the)g(total)f(n)m(um)m(b)s(er)h(of)f
19983 (3-jet)h(ev)m(en)m(ts)i(comes)e(out)g(as)g(it)f(should.)62
19984 b(This)39 b(is)g(a)f(consequence)0 523 y(of)f(the)g(w)m(a)m(y)i(the)e
19985 (program)f(w)m(orks,)j(where)g(it)d(is)h(\014rst)g(decided)h(what)f
19986 (kind)g(of)g(ev)m(en)m(t)i(to)e(generate,)0 632 y(based)31
19987 b(on)f(in)m(tegrated)f(3-jet)g(rates)i(in)e(whic)m(h)h(p)s(ositiv)m(e)f
19988 (and)h(negativ)m(e)g(con)m(tributions)g(are)g(added)g(up)0
19989 740 y(with)i(sign,)g(and)h(only)f(thereafter)h(the)g(kinematics)f(is)g
19990 (c)m(hosen.)146 848 y(Based)41 b(on)e(our)g(ph)m(ysics)i(understanding)
19991 f(of)f(the)h(origin)d(of)i(this)h(negativ)m(e)f(cross)i(section,)g(the)
19992 0 957 y(approac)m(h)27 b(adopted)g(is)f(as)h(sensible)g(as)g(an)m(y)-8
19993 b(,)28 b(at)f(least)f(to)g(that)g(order)h(in)f(p)s(erturbation)g
19994 (theory)h(\(what)0 1065 y(one)h(migh)m(t)f(striv)m(e)h(for)g(is)f(a)h
19995 (prop)s(erly)f(exp)s(onen)m(tiated)i(description)e(of)h(the)g(relev)-5
19996 b(an)m(t)28 b(region\).)41 b(It)28 b(can)0 1173 y(giv)m(e)39
19997 b(rise)f(to)h(funn)m(y)h(results)f(for)f(lo)m(w)g Fj(f)50
19998 b Fw(v)-5 b(alues,)40 b(ho)m(w)m(ev)m(er,)j(as)c(observ)m(ed)i(b)m(y)e
19999 (OP)-8 b(AL)39 b([OP)-8 b(A92])39 b(for)0 1282 y(the)33
20000 b(energy{energy)h(correlation)d(asymmetry)-8 b(.)0 1529
20001 y Fo(6.1.7)112 b(Angular)37 b(orien)m(tation)0 1702 y
20002 Fw(While)28 b(pure)i Fj(\015)k Fw(exc)m(hange)d(giv)m(es)f(a)f(simple)f
20003 (1)15 b(+)g(cos)1899 1666 y Fl(2)1955 1702 y Fj(\022)33
20004 b Fw(distribution)27 b(for)i(the)h(q)f(\(and)p 3177 1649
20005 52 4 v 30 w(q\))g(direction)f(in)0 1810 y(q)p 51 1758
20006 V(q)j(ev)m(en)m(ts,)i(Z)514 1774 y Fl(0)583 1810 y Fw(exc)m(hange)f
20007 (and)f Fj(\015)1242 1774 y Fk(\003)1281 1810 y Fj(=)p
20008 Fw(Z)1390 1774 y Fl(0)1459 1810 y Fw(in)m(terference)h(results)e(in)g
20009 (a)g(forw)m(ard{bac)m(kw)m(ard)i(asymmetry)-8 b(.)0 1919
20010 y(If)33 b(one)f(in)m(tro)s(duces)429 2127 y Fj(h)485
20011 2086 y Fk(0)485 2151 y Fl(f)517 2127 y Fw(\()p Fj(s)p
20012 Fw(\))82 b(=)h(2)p Fj(e)974 2142 y Fl(e)1026 2030 y Fg(n)1082
20013 2127 y Fj(a)1133 2142 y Fl(e)1168 2127 y Fw(\(1)22 b
20014 Fn(\000)h Fj(P)1454 2086 y Fl(+)1440 2151 y(L)1512 2127
20015 y Fj(P)1589 2086 y Fk(\000)1575 2151 y Fl(L)1648 2127
20016 y Fw(\))f Fn(\000)h Fj(v)1855 2142 y Fl(e)1890 2127 y
20017 Fw(\()p Fj(P)2005 2086 y Fk(\000)1991 2151 y Fl(L)2086
20018 2127 y Fn(\000)f Fj(P)2262 2086 y Fl(+)2248 2151 y(L)2321
20019 2127 y Fw(\))2359 2030 y Fg(o)2447 2127 y Fn(<)p Fj(\037)p
20020 Fw(\()p Fj(s)p Fw(\))p Fj(e)2747 2142 y Fl(f)2778 2127
20021 y Fj(a)2829 2142 y Fl(f)880 2309 y Fw(+)989 2213 y Fg(n)1045
20022 2309 y Fw(2)p Fj(v)1141 2324 y Fl(e)1176 2309 y Fj(a)1227
20023 2324 y Fl(e)1263 2309 y Fw(\(1)g Fn(\000)g Fj(P)1548
20024 2268 y Fl(+)1534 2334 y(L)1607 2309 y Fj(P)1684 2268
20025 y Fk(\000)1670 2334 y Fl(L)1742 2309 y Fw(\))g Fn(\000)h
20026 Fw(\()p Fj(v)1991 2268 y Fl(2)1987 2334 y(e)2052 2309
20027 y Fw(+)f Fj(a)2201 2268 y Fl(2)2201 2334 y(e)2241 2309
20028 y Fw(\)\()p Fj(P)2394 2268 y Fk(\000)2380 2334 y Fl(L)2474
20029 2309 y Fn(\000)h Fj(P)2651 2268 y Fl(+)2637 2334 y(L)2709
20030 2309 y Fw(\))2747 2213 y Fg(o)2836 2309 y Fn(j)p Fj(\037)p
20031 Fw(\()p Fj(s)p Fw(\))p Fn(j)3075 2268 y Fl(2)3130 2309
20032 y Fj(v)3177 2324 y Fl(f)3208 2309 y Fj(a)3259 2324 y
20033 Fl(f)3323 2309 y Fj(;)256 b Fw(\(40\))0 2536 y(then)33
20034 b(the)g(angular)e(distribution)g(of)h(the)h(quark)h(is)e(giv)m(en)g(b)m
20035 (y)1069 2733 y(d)p Fj(\033)p 949 2777 354 4 v 949 2869
20036 a Fw(d\(cos)18 b Fj(\022)1234 2884 y Fl(f)1265 2869 y
20037 Fw(\))1341 2800 y Fn(/)28 b Fj(h)1502 2815 y Fl(f)1533
20038 2800 y Fw(\()p Fj(s)p Fw(\)\(1)22 b(+)g(cos)1992 2759
20039 y Fl(2)2048 2800 y Fj(\022)2093 2815 y Fl(f)2125 2800
20040 y Fw(\))g(+)g(2)p Fj(h)2388 2759 y Fk(0)2388 2825 y Fl(f)2419
20041 2800 y Fw(\()p Fj(s)p Fw(\))17 b(cos)f Fj(\022)2749 2815
20042 y Fl(f)2813 2800 y Fj(:)766 b Fw(\(41\))146 3071 y(The)27
20043 b(angular)e(orien)m(tation)f(of)i(a)g(3-)f(or)g(4-jet)h(ev)m(en)m(t)i
20044 (ma)m(y)d(b)s(e)i(describ)s(ed)f(in)g(terms)g(of)f(three)i(angles)0
20045 3179 y Fj(\037)p Fw(,)43 b Fj(\022)h Fw(and)d Fj(')p
20046 Fw(;)k(for)40 b(2-jet)g(ev)m(en)m(ts)k(only)c Fj(\022)k
20047 Fw(and)d Fj(')g Fw(are)f(necessary)-8 b(.)71 b(F)-8 b(rom)39
20048 b(a)i(standard)g(orien)m(tation,)0 3287 y(with)48 b(the)h(q)g(along)e
20049 (the)i(+)p Fj(z)k Fw(axis)48 b(and)g(the)p 1759 3234
20050 52 4 v 49 w(q)h(in)f(the)g Fj(xz)54 b Fw(plane)48 b(with)g
20051 Fj(p)2889 3302 y Fh(x)2987 3287 y Fj(>)55 b Fw(0,)d(an)c(arbitrary)0
20052 3396 y(orien)m(tation)36 b(ma)m(y)i(b)s(e)h(reac)m(hed)g(b)m(y)g(the)g
20053 (rotations)e(+)p Fj(\037)h Fw(in)f(azim)m(uthal)f(angle,)j(+)p
20054 Fj(\022)i Fw(in)d(p)s(olar)e(angle,)0 3504 y(and)45 b(+)p
20055 Fj(')f Fw(in)g(azim)m(uthal)f(angle,)k(in)d(that)g(order.)80
20056 b(Di\013eren)m(tial)43 b(cross)i(sections,)k(including)42
20057 b(QFD)0 3612 y(e\013ects)d(and)e(arbitrary)f(b)s(eam)h(p)s
20058 (olarizations)d(ha)m(v)m(e)39 b(b)s(een)e(giv)m(en)h(for)f(2-)f(and)h
20059 (3-jet)g(ev)m(en)m(ts)i(in)e(refs.)0 3721 y([Ols80)o(,)22
20060 b(Sc)m(h80)q(].)40 b(W)-8 b(e)22 b(use)i(the)e(formalism)d(of)i(ref.)40
20061 b([Ols80],)24 b(with)e Fj(\037)27 b Fn(!)h Fj(\031)t
20062 Fn(\000)q Fj(\037)23 b Fw(and)f Fj(')3087 3684 y Fk(\000)3174
20063 3721 y Fn(!)27 b(\000)p Fw(\()p Fj(')q Fw(+)q Fj(\031)t(=)p
20064 Fw(2\).)0 3829 y(The)43 b(resulting)e(form)m(ulae)f(are)i(tedious,)j
20065 (but)d(straigh)m(tforw)m(ard)f(to)h(apply)-8 b(,)44 b(once)e(the)h(in)m
20066 (ternal)d(jet)0 3937 y(con\014guration)26 b(has)i(b)s(een)g(c)m(hosen.)
20067 43 b(4-jet)27 b(ev)m(en)m(ts)i(are)f(appro)m(ximated)e(b)m(y)i(3-jet)f
20068 (ones,)i(b)m(y)f(joining)d(the)0 4046 y(t)m(w)m(o)32
20069 b(gluons)g(of)f(a)g(q)p 728 3993 V(q)q(gg)i(ev)m(en)m(t)h(and)e(the)g
20070 (q)1575 4009 y Fk(0)1630 4046 y Fw(and)p 1819 3993 V
20071 32 w(q)1871 4009 y Fk(0)1926 4046 y Fw(of)f(a)g(q)p 2167
20072 3993 V(q)q(q)2270 4009 y Fk(0)p 2294 3993 V 2294 4046
20073 a Fw(q)2346 4009 y Fk(0)2401 4046 y Fw(ev)m(en)m(t)i(in)m(to)e(one)h
20074 (e\013ectiv)m(e)h(jet.)43 b(This)0 4154 y(means)c(that)f(some)g
20075 (angular)f(asymmetries)h(are)h(neglected)g([Ali80a)n(],)h(but)f(that)f
20076 (w)m(eak)i(e\013ects)f(are)0 4262 y(automatically)34
20077 b(included.)57 b(It)38 b(is)f(assumed)h(that)f(the)h(second-order)g
20078 (3-jet)f(ev)m(en)m(ts)i(ha)m(v)m(e)g(the)f(same)0 4371
20079 y(angular)h(orien)m(tation)g(as)i(the)g(\014rst-order)g(ones,)i(some)d
20080 (studies)i(on)e(this)g(issue)h(ma)m(y)g(b)s(e)g(found)f(in)0
20081 4479 y([K\177)-49 b(or85)o(].)51 b(F)-8 b(urther,)36
20082 b(the)f(form)m(ulae)f(normally)f(refer)i(to)g(the)g(massless)h(case;)h
20083 (only)d(for)h(the)g(QED)g(2-)0 4587 y(and)e(3-jet)f(cases)i(are)e(mass)
20084 h(corrections)f(a)m(v)-5 b(ailable.)146 4696 y(The)36
20085 b(main)d(e\013ect)j(of)e(the)i(angular)d(distribution)g(of)i(m)m
20086 (ultijet)d(ev)m(en)m(ts)38 b(is)c(to)g(smear)h(the)g(lo)m(w)m(est-)0
20087 4804 y(order)27 b(result,)i(i.e.)41 b(to)27 b(reduce)h(an)m(y)g
20088 (anisotropies)e(presen)m(t)j(in)e(2-jet)f(systems.)43
20089 b(In)28 b(the)f(parton-sho)m(w)m(er)0 4912 y(option)41
20090 b(of)h(the)h(program,)g(only)f(the)h(initial)38 b(q)p
20091 1785 4860 V(q)44 b(axis)e(is)g(determined.)72 b(The)43
20092 b(subsequen)m(t)j(sho)m(w)m(er)0 5021 y(ev)m(olution)28
20093 b(then)i Fi(de)h(facto)d Fw(leads)h(to)g(a)f(smearing)g(of)g(the)i(jet)
20094 f(axis,)g(although)f(not)h(necessarily)g(in)f(full)0
20095 5129 y(agreemen)m(t)33 b(with)f(the)h(exp)s(ectations)g(from)e(m)m
20096 (ultijet)g(matrix-elemen)m(t)f(treatmen)m(ts.)0 5377
20097 y Fo(6.1.8)112 b(Initial-state)36 b(radiation)0 5549
20098 y Fw(Initial-state)27 b(photon)j(radiation)d(has)j(b)s(een)h(included)e
20099 (using)g(the)h(formalism)c(of)k(ref.)42 b([Ber82].)h(Here)0
20100 5658 y(eac)m(h)h(ev)m(en)m(t)h(con)m(tains)f(either)f(no)g(photon)g(or)
20101 g(one,)j(i.e.)76 b(it)42 b(is)h(a)g(\014rst-order)g(non-exp)s(onen)m
20102 (tiated)1841 5953 y(76)p eop
20103 %%Page: 77 83
20104 77 82 bop 0 -18 a Fw(description.)43 b(The)34 b(main)c(form)m(ula)h
20105 (for)h(the)h(hard)g(radiativ)m(e)e(photon)i(cross)g(section)g(is)940
20106 191 y(d)p Fj(\033)p 920 235 155 4 v 920 327 a Fw(d)p
20107 Fj(x)1029 342 y Fh(\015)1111 258 y Fw(=)1225 191 y Fj(\013)1287
20108 206 y Fl(em)p 1225 235 157 4 v 1274 327 a Fj(\031)1424
20109 112 y Fg( )1490 258 y Fw(ln)1637 191 y Fj(s)p 1598 235
20110 125 4 v 1598 327 a(m)1683 298 y Fl(2)1683 351 y(e)1755
20111 258 y Fn(\000)23 b Fw(1)1904 112 y Fg(!)2012 191 y Fw(1)f(+)g(\(1)g
20112 Fn(\000)h Fj(x)2445 206 y Fh(\015)2489 191 y Fw(\))2527
20113 155 y Fl(2)p 2012 235 555 4 v 2240 327 a Fj(x)2295 342
20114 y Fh(\015)2593 258 y Fj(\033)2648 273 y Fl(0)2688 258
20115 y Fw(\()t(^)-53 b Fj(s)p Fw(\))33 b Fj(;)736 b Fw(\(42\))0
20116 541 y(where)35 b Fj(x)338 556 y Fh(\015)417 541 y Fw(is)f(the)g(photon)
20117 g(energy)h(fraction)e(of)h(the)g(b)s(eam)f(energy)-8
20118 b(,)40 b(^)-53 b Fj(s)30 b Fw(=)g(\(1)23 b Fn(\000)g
20119 Fj(x)3019 556 y Fh(\015)3064 541 y Fw(\))p Fj(s)34 b
20120 Fw(is)g(the)g(squared)0 649 y(reduced)42 b(hadronic)e(c.m.)68
20121 b(energy)-8 b(,)44 b(and)d Fj(\033)1621 664 y Fl(0)1701
20122 649 y Fw(is)g(the)g(ordinary)f(annihilation)d(cross)42
20123 b(section)f(at)f(the)0 757 y(reduced)g(energy)-8 b(.)64
20124 b(In)39 b(particular,)f(the)i(selection)e(of)g(jet)h(\015a)m(v)m(ours)i
20125 (should)d(b)s(e)h(done)h(according)e(to)0 866 y(exp)s(ectations)f(at)e
20126 (the)h(reduced)i(energy)-8 b(.)54 b(The)37 b(cross)g(section)f(is)g
20127 (div)m(ergen)m(t)g(b)s(oth)g(for)f Fj(x)3326 881 y Fh(\015)3405
20128 866 y Fn(!)e Fw(1)i(and)0 974 y Fj(x)55 989 y Fh(\015)131
20129 974 y Fn(!)c Fw(0.)49 b(The)36 b(former)d(is)i(related)f(to)g(the)h
20130 (fact)g(that)f Fj(\033)2085 989 y Fl(0)2159 974 y Fw(has)h(a)g(1)p
20131 Fj(=)t Fw(^)-53 b Fj(s)34 b Fw(singularit)m(y)f(\(the)i(real)e(photon)0
20132 1082 y(p)s(ole\))j(for)41 b(^)-53 b Fj(s)36 b Fn(!)g
20133 Fw(0.)58 b(An)37 b(upp)s(er)h(cut)g(on)g Fj(x)1574 1097
20134 y Fh(\015)1656 1082 y Fw(can)f(here)i(b)s(e)e(c)m(hosen)i(to)e(\014t)h
20135 (the)g(exp)s(erimen)m(tal)e(setup.)0 1191 y(The)41 b(latter)d(is)h(a)g
20136 (soft)h(photon)g(singularit)m(y)-8 b(,)39 b(whic)m(h)h(is)f(to)h(b)s(e)
20137 f(comp)s(ensated)h(in)f(the)h(no-radiation)0 1299 y(cross)47
20138 b(section.)85 b(A)47 b(requiremen)m(t)f Fj(x)1388 1314
20139 y Fh(\015)1484 1299 y Fj(>)51 b Fw(0)p Fj(:)p Fw(01)46
20140 b(has)h(therefore)g(b)s(een)g(c)m(hosen)h(so)e(that)g(the)h(hard-)0
20141 1407 y(photon)c(fraction)f(is)h(smaller)f(than)h(unit)m(y)-8
20142 b(.)76 b(In)43 b(the)h(total)e(cross)i(section,)i(e\013ects)f(from)d
20143 (photons)0 1516 y(with)g Fj(x)287 1531 y Fh(\015)377
20144 1516 y Fj(<)j Fw(0)p Fj(:)p Fw(01)d(are)g(tak)m(en)i(in)m(to)e(accoun)m
20145 (t,)k(together)d(with)f(v)m(ertex)j(and)d(v)-5 b(acuum)43
20146 b(p)s(olarization)0 1624 y(corrections)c(\(hadronic)g(v)-5
20147 b(acuum)39 b(p)s(olarizations)e(using)i(a)g(simple)f(parametrization)f
20148 (of)h(the)i(more)0 1732 y(complicated)31 b(form)m(ulae)g(of)h(ref.)44
20149 b([Ber82]\).)146 1841 y(The)32 b(hard)f(photon)g(sp)s(ectrum)g(can)g(b)
20150 s(e)g(in)m(tegrated)g(analytically)-8 b(,)28 b(for)j(the)g(full)e
20151 Fj(\015)3176 1804 y Fk(\003)3216 1841 y Fj(=)p Fw(Z)3325
20152 1804 y Fl(0)3394 1841 y Fw(structure)0 1949 y(including)24
20153 b(in)m(terference)k(terms,)g(pro)m(vided)e(that)g(no)h(new)g(\015a)m(v)
20154 m(our)g(thresholds)g(are)f(crossed)i(and)f(that)0 2057
20155 y(the)40 b Fj(R)249 2072 y Fl(QCD)454 2057 y Fw(term)f(in)g(the)i
20156 (cross)g(section)f(can)g(b)s(e)g(appro)m(ximated)f(b)m(y)i(a)f(constan)
20157 m(t)h(o)m(v)m(er)g(the)f(range)0 2166 y(of)45 b(allo)m(w)m(ed)j(^)-53
20158 b Fj(s)45 b Fw(v)-5 b(alues.)81 b(In)45 b(fact,)j(threshold)e
20159 (e\013ects)g(can)f(b)s(e)h(tak)m(en)g(in)m(to)e(accoun)m(t)i(b)m(y)g
20160 (standard)0 2274 y(rejection)28 b(tec)m(hniques,)k(at)c(the)h(price)g
20161 (of)f(not)h(obtaining)d(the)k(exact)f(cross)h(section)f(analytically)-8
20162 b(,)26 b(but)0 2382 y(only)39 b(b)m(y)i(an)e(e\013ectiv)m(e)i(Mon)m(te)
20163 f(Carlo)f(in)m(tegration)f(taking)h(place)g(in)g(parallel)e(with)i(the)
20164 h(ordinary)0 2491 y(ev)m(en)m(t)j(generation.)67 b(In)41
20165 b(addition)e(to)h Fj(x)1510 2506 y Fh(\015)1555 2491
20166 y Fw(,)j(the)e(p)s(olar)e(angle)h Fj(\022)2369 2506 y
20167 Fh(\015)2454 2491 y Fw(and)h(azim)m(uthal)e(angle)h Fj(')3440
20168 2506 y Fh(\015)3525 2491 y Fw(of)g(the)0 2599 y(photons)k(are)f(also)f
20169 (to)h(b)s(e)h(c)m(hosen.)77 b(F)-8 b(urther,)46 b(for)d(the)h(orien)m
20170 (tation)d(of)i(the)h(hadronic)f(system,)k(a)0 2707 y(c)m(hoice)39
20171 b(has)f(to)g(b)s(e)h(made)f(whether)i(the)e(photon)h(is)f(to)g(b)s(e)g
20172 (considered)h(as)g(ha)m(ving)f(b)s(een)h(radiated)0 2816
20173 y(from)31 b(the)i(e)441 2780 y Fl(+)533 2816 y Fw(or)f(from)g(the)h(e)
20174 1094 2780 y Fk(\000)1153 2816 y Fw(.)146 2924 y(Final-state)40
20175 b(photon)j(radiation,)f(as)g(w)m(ell)g(as)g(in)m(terference)i(b)s(et)m
20176 (w)m(een)g(initial-)38 b(and)k(\014nal-state)0 3032 y(radiation,)e(has)
20177 g(b)s(een)g(left)g(out)f(of)h(this)f(treatmen)m(t.)66
20178 b(The)41 b(form)m(ulae)d(for)h(e)2875 2996 y Fl(+)2935
20179 3032 y Fw(e)2978 2996 y Fk(\000)3077 3032 y Fn(!)h Fj(\026)3276
20180 2996 y Fl(+)3335 3032 y Fj(\026)3394 2996 y Fk(\000)3492
20181 3032 y Fw(cannot)0 3141 y(b)s(e)d(simply)d(tak)m(en)k(o)m(v)m(er)f(for)
20182 f(the)h(case)g(of)f(outgoing)e(quarks,)39 b(since)e(the)g(quarks)g(as)g
20183 (suc)m(h)g(only)f(liv)m(e)0 3249 y(for)d(a)g(short)g(while)g(b)s(efore)
20184 g(turning)g(in)m(to)f(hadrons.)46 b(Another)34 b(simpli\014cation)c(in)
20185 j(our)g(treatmen)m(t)g(is)0 3357 y(that)h(e\013ects)h(of)f(incoming)d
20186 (p)s(olarized)i(e)1506 3321 y Fk(\006)1599 3357 y Fw(b)s(eams)h(ha)m(v)
20187 m(e)h(b)s(een)g(completely)e(neglected,)i(i.e.)47 b(neither)0
20188 3466 y(the)29 b(e\013ectiv)m(e)g(shift)f(in)f(azim)m(uthal)f
20189 (distribution)g(of)i(photons)h(nor)f(the)g(reduction)h(in)e(p)s
20190 (olarization)e(is)0 3574 y(included.)41 b(The)27 b(p)s(olarization)c
20191 (parameters)j(of)g(the)g(program)f(are)h(to)g(b)s(e)g(though)m(t)h(of)e
20192 (as)i(the)f(e\013ectiv)m(e)0 3682 y(p)s(olarization)j(surviving)j
20193 (after)h(initial-state)c(radiation.)0 3930 y Fo(6.1.9)112
20194 b(Alternativ)m(e)36 b(matrix)g(elemen)m(ts)0 4103 y Fw(The)c(program)e
20195 (con)m(tains)h(t)m(w)m(o)g(sets)i(of)d(`to)m(y)i(mo)s(del')d(matrix)h
20196 (elemen)m(ts,)h(one)h(for)e(an)h(Ab)s(elian)e(v)m(ector)0
20197 4211 y(gluon)42 b(mo)s(del)g(and)h(one)g(for)g(a)g(scalar)f(gluon)g(mo)
20198 s(del.)74 b(Clearly)42 b(b)s(oth)h(of)f(these)j(alternativ)m(es)d(are)0
20199 4320 y(already)32 b(excluded)i(b)m(y)g(data,)f(and)g(are)f(an)m(yw)m(a)
20200 m(y)j(not)e(viable)f(alternativ)m(es)g(for)g(a)h(consisten)m(t)h
20201 (theory)0 4428 y(of)h(strong)h(in)m(teractions.)53 b(They)37
20202 b(are)f(therefore)g(included)f(more)h(as)g(references)h(to)f(sho)m(w)h
20203 (ho)m(w)f(w)m(ell)0 4536 y(the)d(c)m(haracteristic)f(features)i(of)e
20204 (QCD)g(can)h(b)s(e)g(measured)g(exp)s(erimen)m(tally)-8
20205 b(.)146 4645 y(Second-order)29 b(matrix)d(elemen)m(ts)j(are)f(a)m(v)-5
20206 b(ailable)25 b(for)j(the)g(Ab)s(elian)e(v)m(ector)j(gluon)e(mo)s(del.)
20207 41 b(These)0 4753 y(are)k(easily)g(obtained)g(from)f(the)i(standard)f
20208 (QCD)h(matrix)d(elemen)m(ts)j(b)m(y)g(a)f(substitution)g(of)g(the)0
20209 4861 y(Casimir)33 b(group)j(factors:)49 b Fj(C)1077 4876
20210 y Fh(F)1168 4861 y Fw(=)32 b(4)p Fj(=)p Fw(3)g Fn(!)g
20211 Fw(1,)k Fj(N)1777 4876 y Fh(C)1869 4861 y Fw(=)c(3)h
20212 Fn(!)f Fw(0,)k(and)f Fj(T)2552 4876 y Fh(R)2643 4861
20213 y Fw(=)d Fj(n)2809 4876 y Fl(f)2840 4861 y Fj(=)p Fw(2)h
20214 Fn(!)f Fw(3)p Fj(n)3210 4876 y Fl(f)3241 4861 y Fw(.)52
20215 b(First-order)0 4970 y(matrix)31 b(elemen)m(ts)i(con)m(tain)g(only)f
20216 Fj(C)1345 4985 y Fh(F)1403 4970 y Fw(;)h(therefore)h(the)f(standard)g
20217 (\014rst-order)g(QCD)g(results)g(ma)m(y)f(b)s(e)0 5078
20218 y(reco)m(v)m(ered)42 b(b)m(y)f(a)f(rescaling)f(of)h Fj(\013)1260
20219 5093 y Fl(s)1332 5078 y Fw(b)m(y)h(a)e(factor)h(4)p Fj(=)p
20220 Fw(3.)65 b(In)40 b(second)i(order)e(the)g(c)m(hange)h(of)f
20221 Fj(N)3505 5093 y Fh(C)3604 5078 y Fw(to)g(0)0 5186 y(means)32
20222 b(that)f(g)e Fn(!)e Fw(gg)32 b(couplings)f(are)g(absen)m(t)i(from)d
20223 (the)i(Ab)s(elian)e(mo)s(del,)h(while)f(the)i(c)m(hange)h(of)e
20224 Fj(T)3722 5201 y Fh(R)0 5295 y Fw(corresp)s(onds)37 b(to)f(an)f
20225 (enhancemen)m(t)j(of)d(the)h(g)f Fn(!)e Fw(q)1944 5259
20226 y Fk(0)p 1967 5242 52 4 v 1967 5295 a Fw(q)2019 5259
20227 y Fk(0)2078 5295 y Fw(coupling,)i(i.e.)53 b(to)36 b(an)f(enhancemen)m
20228 (t)j(of)d(the)0 5403 y(q)p 51 5350 V(q)q(q)154 5367 y
20229 Fk(0)p 178 5350 V 178 5403 a Fw(q)229 5367 y Fk(0)285
20230 5403 y Fw(4-jet)d(ev)m(en)m(t)i(rate.)146 5511 y(The)39
20231 b(second-order)f(corrections)f(to)g(the)h(3-jet)e(rate)i(turn)f(out)g
20232 (to)g(b)s(e)h(strongly)e(negativ)m(e)i(|)f(if)0 5620
20233 y Fj(\013)62 5635 y Fl(s)126 5620 y Fw(is)32 b(\014tted)h(to)e(get)i
20234 (ab)s(out)e(the)i(righ)m(t)e(rate)h(of)g(4-jet)g(ev)m(en)m(ts,)i(the)f
20235 (predicted)g(di\013eren)m(tial)d(3-jet)i(rate)1841 5953
20236 y(77)p eop
20237 %%Page: 78 84
20238 78 83 bop 0 -18 a Fw(is)36 b(negativ)m(e)i(almost)d(ev)m(erywhere)40
20239 b(in)c(the)h(\()p Fj(x)1705 -3 y Fl(1)1745 -18 y Fj(;)17
20240 b(x)1844 -3 y Fl(2)1884 -18 y Fw(\))37 b(plane.)56 b(Whether)38
20241 b(this)e(unph)m(ysical)i(b)s(eha)m(viour)0 90 y(w)m(ould)i(b)s(e)g(sa)m
20242 (v)m(ed)i(b)m(y)f(higher)e(orders)i(is)e(unclear.)66
20243 b(It)40 b(has)g(b)s(een)h(p)s(oin)m(ted)e(out)h(that)g(the)g(rate)g
20244 (can)0 198 y(b)s(e)35 b(made)f(p)s(ositiv)m(e)h(b)m(y)g(a)g(suitable)f
20245 (c)m(hoice)h(of)g(scale,)g(since)g Fj(\013)2320 213 y
20246 Fl(s)2387 198 y Fw(runs)h(in)e(opp)s(osite)g(directions)g(in)h(an)0
20247 307 y(Ab)s(elian)d(mo)s(del)g(and)h(in)g(QCD)g([Bet89].)47
20248 b(This)33 b(ma)m(y)h(b)s(e)f(seen)i(directly)e(from)f(eq.)47
20249 b(\(39\),)33 b(where)i(the)0 415 y(term)e(33)28 b(=)h(11)p
20250 Fj(N)641 430 y Fh(C)733 415 y Fw(is)k(absen)m(t)h(in)f(the)h(Ab)s
20251 (elian)d(mo)s(del,)h(and)i(therefore)g(the)f(scale-dep)s(enden)m(t)i
20252 (term)0 523 y(c)m(hanges)k(sign.)56 b(In)38 b(the)f(program,)g
20253 (optimized)f(scales)h(ha)m(v)m(e)i(not)e(b)s(een)h(implemen)m(ted)e
20254 (for)g(this)h(to)m(y)0 632 y(mo)s(del.)i(Therefore)26
20255 b(the)f(alternativ)m(es)g(pro)m(vided)g(for)f(y)m(ou)i(are)e(either)h
20256 (to)f(generate)i(only)e(4-jet)g(ev)m(en)m(ts,)0 740 y(or)32
20257 b(to)g(neglect)h(second-order)g(corrections)g(to)f(the)h(3-jet)e(rate,)
20258 i(or)f(to)g(ha)m(v)m(e)i(the)f(total)e(3-jet)g(rate)i(set)0
20259 848 y(v)-5 b(anishing)28 b(\(so)i(that)f(only)g(2-)f(and)i(4-jet)e(ev)m
20260 (en)m(ts)k(are)e(generated\).)43 b(Normally)27 b(w)m(e)j(w)m(ould)f
20261 (exp)s(ect)i(the)0 957 y(former)39 b(to)h(b)s(e)g(the)h(one)f(of)g
20262 (most)g(in)m(terest,)i(since)f(it)e(is)h(in)f(angular)g(\(and)h(\015a)m
20263 (v)m(our\))h(distributions)0 1065 y(of)i(4-jet)g(ev)m(en)m(ts)j(that)d
20264 (the)h(structure)h(of)e(QCD)g(can)h(b)s(e)f(tested.)78
20265 b(Also)43 b(note)g(that)h(the)g(`correct')0 1173 y(running)35
20266 b(of)h Fj(\013)543 1188 y Fl(s)610 1173 y Fw(is)g(not)f(included;)i(y)m
20267 (ou)g(are)f(exp)s(ected)h(to)f(use)g(the)h(option)d(where)j
20268 Fj(\013)3192 1188 y Fl(s)3260 1173 y Fw(is)e(just)h(giv)m(en)0
20269 1282 y(as)d(a)f(constan)m(t)i(n)m(um)m(b)s(er.)146 1390
20270 y(The)47 b(scalar)d(gluon)h(mo)s(del)e(is)i(ev)m(en)i(more)d(excluded)j
20271 (than)e(the)h(Ab)s(elian)e(v)m(ector)i(one,)j(since)0
20272 1498 y(di\013erences)34 b(app)s(ear)e(already)g(in)g(the)h(3-jet)f
20273 (matrix)f(elemen)m(t)h([Lae80]:)1415 1688 y(d)p Fj(\033)p
20274 1315 1732 315 4 v 1315 1823 a Fw(d)p Fj(x)1424 1838 y
20275 Fl(1)1480 1823 y Fw(d)p Fj(x)1589 1838 y Fl(2)1667 1755
20276 y Fn(/)2076 1688 y Fj(x)2131 1652 y Fl(2)2131 1712 y(3)p
20277 1782 1732 683 4 v 1782 1823 a Fw(\(1)22 b Fn(\000)h Fj(x)2046
20278 1838 y Fl(1)2086 1823 y Fw(\)\(1)e Fn(\000)i Fj(x)2387
20279 1838 y Fl(2)2427 1823 y Fw(\))3606 1755 y(\(43\))0 2013
20280 y(when)46 b(only)e Fj(\015)50 b Fw(exc)m(hange)c(is)e(included.)80
20281 b(The)45 b(axial)e(part)i(of)f(the)h(Z)2645 1977 y Fl(0)2729
20282 2013 y Fw(giv)m(es)g(a)f(sligh)m(tly)f(di\013eren)m(t)0
20283 2121 y(shap)s(e;)38 b(this)d(is)f(included)h(in)g(the)h(program)e(but)h
20284 (do)s(es)h(not)f(mak)m(e)h(m)m(uc)m(h)g(di\013erence.)52
20285 b(The)37 b(angular)0 2230 y(orien)m(tation)26 b(do)s(es)i(include)g
20286 (the)g(full)e Fj(\015)1423 2193 y Fk(\003)1462 2230 y
20287 Fj(=)p Fw(Z)1571 2193 y Fl(0)1638 2230 y Fw(in)m(terference)j([Lae80],)
20288 g(but)f(the)g(main)e(in)m(terest)j(is)e(in)g(the)0 2338
20289 y(3-jet)22 b(top)s(ology)e(as)j(suc)m(h)h([Ell79)n(].)40
20290 b(No)22 b(higher-order)g(corrections)g(are)g(included.)40
20291 b(It)22 b(is)g(recommended)0 2446 y(to)32 b(use)i(the)f(option)e(of)h
20292 (a)h(\014xed)g Fj(\013)1249 2461 y Fl(s)1314 2446 y Fw(also)f(here,)h
20293 (since)g(the)g(correct)g(running)f(is)g(not)h(a)m(v)-5
20294 b(ailable.)0 2717 y Fp(6.2)135 b(Deca)l(ys)46 b(of)f(Onia)h(Resonances)
20295 0 2890 y Fw(Man)m(y)35 b(di\013eren)m(t)g(p)s(ossibilities)c(are)k(op)s
20296 (en)f(for)g(the)h(deca)m(y)h(of)d(hea)m(vy)j Fj(J)2640
20297 2853 y Fh(P)10 b(C)2785 2890 y Fw(=)30 b(1)2940 2853
20298 y Fk(\000\000)3088 2890 y Fw(onia)k(resonances.)0 2998
20299 y(Of)40 b(sp)s(ecial)g(in)m(terest)h(are)g(the)g(deca)m(ys)h(in)m(to)e
20300 (three)i(gluons)e(or)g(t)m(w)m(o)h(gluons)f(plus)h(a)f(photon,)j(since)
20301 0 3106 y(these)37 b(o\013er)e(unique)i(p)s(ossibilities)32
20302 b(to)k(study)g(a)g(`pure)g(sample')f(of)g(gluon)g(jets.)53
20303 b(A)36 b(routine)f(for)g(this)0 3215 y(purp)s(ose)44
20304 b(is)f(included)h(in)e(the)j(program.)75 b(It)43 b(w)m(as)i(written)e
20305 (at)h(a)f(time)f(where)j(the)f(exp)s(ectations)0 3323
20306 y(w)m(ere)32 b(to)e(\014nd)h(top)s(onium)d(at)i(PETRA)i(energies.)43
20307 b(If,)31 b(as)f(no)m(w)h(seems)h(lik)m(ely)-8 b(,)29
20308 b(the)i(top)f(mass)h(is)f(ab)s(o)m(v)m(e)0 3431 y(100)i(GeV,)g(w)m(eak)
20309 h(deca)m(ys)i(will)30 b(dominate,)h(to)g(the)i(exten)m(t)h(that)e(the)h
20310 (top)f(quark)h(will)d(deca)m(y)k(w)m(eakly)0 3540 y(ev)m(en)g(b)s
20311 (efore)e(a)g(b)s(ound)g(top)s(onium)e(state)j(is)e(formed,)h(and)g(th)m
20312 (us)h(the)g(routine)e(will)f(b)s(e)i(of)g(no)g(use)h(for)0
20313 3648 y(top.)55 b(The)37 b(c)m(harm)f(system,)j(on)d(the)h(other)f
20314 (hand,)i(is)e(far)g(to)s(o)f(lo)m(w)h(in)g(mass)g(for)g(a)g(jet)h
20315 (language)e(to)0 3756 y(b)s(e)i(of)f(an)m(y)h(use.)56
20316 b(The)37 b(only)f(application)e(is)i(therefore)h(lik)m(ely)e(to)h(b)s
20317 (e)h(for)e(\007,)j(whic)m(h)f(unfortunately)0 3865 y(also)32
20318 b(is)g(on)g(the)h(lo)m(w)f(side)h(in)f(mass.)146 3973
20319 y(The)i(matrix)d(elemen)m(t)h(for)g(q)p 1224 3920 52
20320 4 v(q)d Fn(!)e Fw(ggg)33 b(is)g(\(in)e(lo)m(w)m(est)i(order\))g([Kol78)
20321 n(])584 4165 y(1)p 525 4210 167 4 v 525 4301 a Fj(\033)580
20322 4316 y Fl(ggg)759 4165 y Fw(d)p Fj(\033)868 4180 y Fl(ggg)p
20323 712 4210 315 4 v 712 4301 a Fw(d)p Fj(x)821 4316 y Fl(1)877
20324 4301 y Fw(d)p Fj(x)986 4316 y Fl(2)1064 4233 y Fw(=)1288
20325 4165 y(1)p 1177 4210 269 4 v 1177 4301 a Fj(\031)1236
20326 4272 y Fl(2)1298 4301 y Fn(\000)23 b Fw(9)1473 4087 y
20327 Fg(\()1540 4112 y(\022)1611 4165 y Fw(1)f Fn(\000)g Fj(x)1836
20328 4180 y Fl(1)p 1611 4210 266 4 v 1649 4301 a Fj(x)1704
20329 4316 y Fl(2)1744 4301 y Fj(x)1799 4316 y Fl(3)1886 4112
20330 y Fg(\023)1947 4128 y Fl(2)2009 4233 y Fw(+)2107 4112
20331 y Fg(\022)2178 4165 y Fw(1)g Fn(\000)h Fj(x)2404 4180
20332 y Fl(2)p 2178 4210 V 2216 4301 a Fj(x)2271 4316 y Fl(1)2311
20333 4301 y Fj(x)2366 4316 y Fl(3)2453 4112 y Fg(\023)2515
20334 4128 y Fl(2)2576 4233 y Fw(+)2674 4112 y Fg(\022)2745
20335 4165 y Fw(1)f Fn(\000)h Fj(x)2971 4180 y Fl(3)p 2745
20336 4210 V 2783 4301 a Fj(x)2838 4316 y Fl(1)2878 4301 y
20337 Fj(x)2933 4316 y Fl(2)3021 4112 y Fg(\023)3082 4128 y
20338 Fl(2)3121 4087 y Fg(\))3237 4233 y Fj(;)342 b Fw(\(44\))0
20339 4493 y(where,)43 b(as)d(b)s(efore,)j Fj(x)830 4508 y
20340 Fh(i)899 4493 y Fw(=)d(2)p Fj(E)1136 4508 y Fh(i)1164
20341 4493 y Fj(=E)1285 4508 y Fl(cm)1419 4493 y Fw(in)g(the)g(c.m.)66
20342 b(frame)39 b(of)g(the)i(ev)m(en)m(t.)68 b(This)40 b(is)f(a)h(w)m
20343 (ell-de\014ned)0 4601 y(expression,)c(without)e(the)g(kind)g(of)g
20344 (singularities)e(encoun)m(tered)k(in)d(the)i(q)p 2794
20345 4548 52 4 v(q)q(g)g(matrix)e(elemen)m(ts.)48 b(In)0 4709
20346 y(principle,)40 b(no)f(cuts)i(at)e(all)f(w)m(ould)h(b)s(e)h(necessary)
20347 -8 b(,)44 b(but)c(for)f(reasons)h(of)f(n)m(umerical)f(simplicit)m(y)f
20348 (w)m(e)0 4818 y(implemen)m(t)32 b(a)h Fj(y)j Fw(cut)e(as)g(for)f(con)m
20349 (tin)m(uum)g(jet)h(pro)s(duction,)f(with)g(all)f(ev)m(en)m(ts)j(not)f
20350 (ful\014lling)c(this)j(cut)0 4926 y(considered)i(as)f(\(e\013ectiv)m
20351 (e\))g(gg)h(ev)m(en)m(ts.)50 b(F)-8 b(or)33 b(ggg)h(ev)m(en)m(ts,)j
20352 (eac)m(h)d(gg)h(in)m(v)-5 b(arian)m(t)32 b(mass)i(is)g(required)g(to)0
20353 5034 y(b)s(e)f(at)f(least)g(2)g(GeV.)146 5143 y(Another)d(pro)s(cess)h
20354 (is)e(q)p 1005 5090 V(q)g Fn(!)g Fj(\015)5 b Fw(gg)q(,)29
20355 b(obtained)f(b)m(y)h(replacing)e(a)h(gluon)f(in)h(q)p
20356 2863 5090 V(q)h Fn(!)e Fw(ggg)i(b)m(y)g(a)f(photon.)0
20357 5251 y(This)36 b(pro)s(cess)h(has)f(the)g(same)g(normalized)e(cross)j
20358 (section)f(as)g(the)g(one)g(ab)s(o)m(v)m(e,)h(if)e(e.g.)54
20359 b Fj(x)3370 5266 y Fl(1)3445 5251 y Fw(is)35 b(tak)m(en)0
20360 5359 y(to)d(refer)h(to)f(the)h(photon.)44 b(The)33 b(relativ)m(e)f
20361 (rate)h(is)f([Kol78)n(])1488 5556 y Fj(\033)1543 5571
20362 y Fh(\015)t Fl(gg)p 1488 5600 172 4 v 1490 5691 a Fj(\033)1545
20363 5706 y Fl(ggg)1697 5623 y Fw(=)1811 5556 y(36)p 1811
20364 5600 98 4 v 1835 5691 a(5)1958 5549 y Fj(e)2003 5513
20365 y Fl(2)2003 5573 y(q)2062 5549 y Fj(\013)2124 5564 y
20366 Fl(em)p 1945 5600 287 4 v 1945 5691 a Fj(\013)2007 5706
20367 y Fl(s)2039 5691 y Fw(\()p Fj(Q)2154 5662 y Fl(2)2194
20368 5691 y Fw(\))2274 5623 y Fj(:)1305 b Fw(\(45\))1841 5953
20369 y(78)p eop
20370 %%Page: 79 85
20371 79 84 bop 0 -18 a Fw(Here)31 b Fj(e)273 -3 y Fl(q)344
20372 -18 y Fw(is)f(the)h(c)m(harge)f(of)g(the)g(hea)m(vy)i(quark,)g(and)e
20373 (the)g(scale)g(in)g Fj(\013)2519 -3 y Fl(s)2581 -18 y
20374 Fw(has)g(b)s(een)h(c)m(hosen)h(as)e(the)h(mass)0 90 y(of)i(the)i(onium)
20375 d(state.)48 b(If)34 b(the)g(mass)g(of)f(the)h(recoiling)e(gg)i(system)h
20376 (is)f(lo)m(w)m(er)g(than)f(some)h(cut-o\013)g(\(b)m(y)0
20377 198 y(default)e(2)g(GeV\),)h(the)g(ev)m(en)m(t)h(is)e(rejected.)146
20378 307 y(In)40 b(the)h(presen)m(t)g(implemen)m(tation)c(the)j(angular)e
20379 (orien)m(tation)g(of)i(the)g(ggg)g(and)g Fj(\015)5 b
20380 Fw(gg)41 b(ev)m(en)m(ts)h(is)0 415 y(giv)m(en)30 b(for)f(the)h(e)606
20381 379 y Fl(+)666 415 y Fw(e)709 379 y Fk(\000)796 415 y
20382 Fn(!)d Fj(\015)979 379 y Fk(\003)1046 415 y Fn(!)i Fw(onium)g(case)h
20383 ([Kol78)o(])f(\(optionally)e(with)j(b)s(eam)f(p)s(olarization)d
20384 (e\013ects)0 523 y(included\),)40 b(i.e.)62 b(w)m(eak)41
20385 b(e\013ects)f(ha)m(v)m(e)g(not)f(b)s(een)h(included,)g(since)f(they)h
20386 (are)f(negligible)d(at)i(around)0 632 y(10)32 b(GeV.)146
20387 740 y(It)41 b(is)f(p)s(ossible)f(to)h(start)h(a)f(p)s(erturbativ)m(e)h
20388 (sho)m(w)m(er)h(ev)m(olution)d(from)h(either)g(of)g(the)g(t)m(w)m(o)i
20389 (states)0 848 y(ab)s(o)m(v)m(e.)h(Ho)m(w)m(ev)m(er,)33
20390 b(for)d(\007)f(the)h(phase)h(space)g(for)f(additional)c(ev)m(olution)j
20391 (is)h(so)g(constrained)g(that)g(not)0 957 y(m)m(uc)m(h)40
20392 b(is)f(to)g(b)s(e)g(gained)g(from)f(that.)64 b(W)-8 b(e)39
20393 b(therefore)h(do)g(not)f(recommend)g(this)g(p)s(ossibilit)m(y)-8
20394 b(.)62 b(The)0 1065 y(sho)m(w)m(er)36 b(generation)e(mac)m(hinery)-8
20395 b(,)35 b(when)h(starting)e(up)h(from)e(a)i Fj(\015)5
20396 b Fw(gg)35 b(con\014guration,)g(is)f(constructed)0 1173
20397 y(suc)m(h)50 b(that)e(the)h(photon)f(energy)h(is)f(not)g(c)m(hanged.)92
20398 b(This)48 b(means)h(that)f(there)h(is)f(curren)m(tly)h(no)0
20399 1282 y(p)s(ossibilit)m(y)34 b(to)j(use)g(sho)m(w)m(ers)i(to)d(bring)g
20400 (the)h(theoretical)e(photon)i(sp)s(ectrum)g(in)e(b)s(etter)i(agreemen)m
20401 (t)0 1390 y(with)32 b(the)h(exp)s(erimen)m(tal)f(one.)146
20402 1498 y(In)37 b(string)f(fragmen)m(tation)e(language,)i(a)h(ggg)g(state)
20403 f(corresp)s(onds)i(to)e(a)g(closed)h(string)e(triangle)0
20404 1607 y(with)f(the)g(three)h(gluons)e(at)h(the)g(corners.)49
20405 b(As)35 b(the)f(partons)g(mo)m(v)m(e)h(apart)e(from)g(a)h(common)f
20406 (origin,)0 1715 y(the)39 b(string)f(triangle)e(expands.)63
20407 b(Since)38 b(the)h(photon)f(do)s(es)h(not)f(tak)m(e)i(part)e(in)f(the)i
20408 (fragmen)m(tation,)0 1823 y(the)33 b Fj(\015)5 b Fw(gg)33
20409 b(state)g(corresp)s(onds)h(to)f(a)f(double)g(string)g(running)g(b)s(et)
20410 m(w)m(een)j(the)e(t)m(w)m(o)g(gluons.)0 2097 y Fp(6.3)135
20411 b(Routines)46 b(and)f(Common)g(Blo)t(c)l(k)g(V)-11 b(ariables)0
20412 2270 y Fo(6.3.1)112 b Fw(e)385 2234 y Fl(+)445 2270 y
20413 Fw(e)488 2234 y Fk(\000)585 2270 y Fo(con)m(tin)m(uum)36
20414 b(ev)m(en)m(t)h(generation)0 2443 y Fw(The)j(only)e(routine)h(a)g
20415 (normal)e(user)i(will)e(call)g(to)i(generate)h(e)2349
20416 2406 y Fl(+)2408 2443 y Fw(e)2451 2406 y Fk(\000)2549
20417 2443 y Fw(con)m(tin)m(uum)f(ev)m(en)m(ts)i(is)e Fq(LUEEVT)p
20418 Fw(.)0 2551 y(The)27 b(other)f(routines)g(listed)f(b)s(elo)m(w,)j(as)e
20419 (w)m(ell)f(as)i Fq(LUSHOW)g Fw(\(see)g(section)g(10.4\),)f(are)h
20420 (called)d(b)m(y)29 b Fq(LUEEVT)p Fw(.)p 0 2701 1184 9
20421 v 0 2926 9 225 v 79 2841 a Fq(CALL)52 b(LUEEVT\(KFL,ECM\))p
20422 1175 2926 V 0 2934 1184 9 v 0 3075 a Fo(Purp)s(ose:)c
20423 Fw(to)23 b(generate)g(a)g(complete)g(ev)m(en)m(t)i(e)1736
20424 3039 y Fl(+)1795 3075 y Fw(e)1838 3039 y Fk(\000)1925
20425 3075 y Fn(!)j Fj(\015)2109 3039 y Fk(\003)2148 3075 y
20426 Fj(=)p Fw(Z)2257 3039 y Fl(0)2324 3075 y Fn(!)f Fw(q)p
20427 2502 3022 52 4 v(q)i Fn(!)22 b Fw(parton)h(sho)m(w)m(er)i
20428 Fn(!)e Fw(hadrons)472 3184 y(according)30 b(to)g(QFD)g(and)g(QCD)g
20429 (cross)i(sections.)43 b(As)31 b(an)f(alternativ)m(e)g(to)g(parton)g
20430 (sho)m(w-)472 3292 y(ers,)41 b(second-order)e(matrix)d(elemen)m(ts)i
20431 (are)g(a)m(v)-5 b(ailable)36 b(for)h(q)p 2740 3239 V(q)27
20432 b(+)f(q)p 2971 3239 V(q)q(g)f(+)h(q)p 3250 3239 V(q)q(gg)f(+)h(q)p
20433 3578 3239 V(q)q(q)3681 3256 y Fk(0)p 3705 3239 V 3705
20434 3292 a Fw(q)3756 3256 y Fk(0)472 3400 y Fw(pro)s(duction.)0
20435 3509 y Fq(KFL)52 b(:)216 b Fw(\015a)m(v)m(our)34 b(of)e(ev)m(en)m(ts)j
20436 (generated.)236 3617 y Fq(=)52 b(0)f(:)217 b Fw(mixture)31
20437 b(of)i(all)d(allo)m(w)m(ed)i(\015a)m(v)m(ours)i(according)e(to)g(relev)
20438 -5 b(an)m(t)33 b(probabilities.)236 3725 y Fq(=)52 b(1)f(-)h(8)f(:)d
20439 Fw(primary)31 b(quarks)j(are)f(only)f(of)g(the)h(sp)s(eci\014ed)g
20440 (\015a)m(v)m(our)h Fq(KFL)p Fw(.)0 3834 y Fq(ECM)52 b(:)216
20441 b Fw(total)31 b(c.m.)44 b(energy)33 b(of)f(system.)0
20442 3942 y Fo(Remark:)53 b Fw(Eac)m(h)41 b(call)d(generates)i(one)g(ev)m
20443 (en)m(t,)j(whic)m(h)d(is)f(indep)s(enden)m(t)i(of)e(preceding)h(ones,)i
20444 (with)472 4050 y(one)e(exception,)h(as)f(follo)m(ws.)62
20445 b(If)39 b(radiativ)m(e)f(corrections)h(are)g(included,)i(the)e(shap)s
20446 (e)h(of)472 4159 y(the)f(hard)g(photon)f(sp)s(ectrum)h(is)f
20447 (recalculated)g(only)g(with)g(eac)m(h)i Fq(LUXTOT)g Fw(call,)e(whic)m
20448 (h)472 4267 y(normally)33 b(is)i(done)h(only)f(if)41
20449 b Fq(KFL)p Fw(,)c Fq(ECM)f Fw(or)f Fq(MSTJ\(102\))j Fw(is)c(c)m
20450 (hanged.)54 b(A)35 b(c)m(hange)h(of)f(e.g.)472 4375 y(the)i(Z)704
20451 4339 y Fl(0)779 4375 y Fw(mass)e(in)h(mid-run)e(has)i(to)g(b)s(e)g
20452 (follo)m(w)m(ed)f(either)g(b)m(y)i(a)f(user)h(call)d(to)h
20453 Fq(LUXTOT)j Fw(or)472 4484 y(b)m(y)c(an)e(in)m(ternal)g(call)f(forced)i
20454 (e.g.)43 b(b)m(y)34 b(putting)f Fq(MSTJ\(116\)=3)p Fw(.)0
20455 4671 y Fq(SUBROUTINE)54 b(LUXTOT\(KFL,ECM,XTOT\))j(:)47
20456 b Fw(to)33 b(calculate)g(the)g(total)f(hadronic)h(cross)i(section,)f
20457 (in-)472 4780 y(cluding)i(quark)i(thresholds,)h(w)m(eak,)g(b)s(eam)d(p)
20458 s(olarization,)f(and)i(QCD)g(e\013ects)h(and)f(ra-)472
20459 4888 y(diativ)m(e)42 b(corrections.)71 b(In)42 b(the)h(pro)s(cess,)i(v)
20460 -5 b(ariables)41 b(necessary)j(for)e(the)g(treatmen)m(t)g(of)472
20461 4996 y(hard)33 b(photon)g(radiation)d(are)j(calculated)e(and)i(stored.)
20462 236 5105 y Fq(KFL,)53 b(ECM)f(:)47 b Fw(as)33 b(for)f
20463 Fq(LUEEVT)p Fw(.)236 5213 y Fq(XTOT)53 b(:)165 b Fw(the)33
20464 b(calculated)e(total)g(cross)j(section)f(in)e(n)m(b.)0
20465 5321 y Fq(SUBROUTINE)54 b(LURADK\(ECM,MK,PAK,THEK,PH)q(IK,A)q(LPK\))k
20466 (:)47 b Fw(to)k(describ)s(e)g(initial-state)d(hard)j
20467 Fj(\015)472 5430 y Fw(radiation.)0 5538 y Fq(SUBROUTINE)j
20468 (LUXKFL\(KFL,ECM,ECMC,KFLC\))k(:)47 b Fw(to)42 b(generate)g(the)g
20469 (primary)f(quark)i(\015a)m(v)m(our)f(in)472 5646 y(case)34
20470 b(this)e(is)g(not)h(sp)s(eci\014ed)g(b)m(y)h(the)f(user.)1841
20471 5953 y(79)p eop
20472 %%Page: 80 86
20473 80 85 bop 0 -18 a Fq(SUBROUTINE)54 b(LUXJET\(ECM,NJET,CUT\))j(:)47
20474 b Fw(to)29 b(determine)g(the)h(n)m(um)m(b)s(er)f(of)g(jets)h(\(2,)g(3)e
20475 (or)h(4\))g(to)g(b)s(e)472 90 y(generated)23 b(within)e(the)h
20476 (kinematically)d(allo)m(w)m(ed)j(region)f(\(c)m(haracterized)h(b)m(y)j
20477 Fq(CUT)d Fw(=)28 b Fj(y)3640 105 y Fl(cut)3742 90 y Fw(\))472
20478 198 y(in)39 b(the)h(matrix-elemen)m(t)e(approac)m(h;)43
20479 b(to)d(b)s(e)g(c)m(hosen)h(suc)m(h)g(that)e(all)f(probabilities)e(are)
20480 472 307 y(b)s(et)m(w)m(een)f(0)d(and)h(1.)0 415 y Fq(SUBROUTINE)54
20481 b(LUX3JT\(NJET,CUT,KFL,ECM,X)q(1,X2)q(\))j(:)48 b Fw(to)35
20482 b(generate)g(the)h(in)m(ternal)e(momen)m(tum)472 523
20483 y(v)-5 b(ariables)29 b(of)h(a)f(3-jet)h(ev)m(en)m(t,)i(q)p
20484 1617 470 52 4 v(q)q(g)q(,)f(according)e(to)h(\014rst-)g(or)f
20485 (second-order)i(QCD)f(matrix)472 632 y(elemen)m(ts.)0
20486 740 y Fq(SUBROUTINE)54 b(LUX4JT\(NJET,CUT,KFL,ECM,K)q(FLN,)q(X1,X)q
20487 (2,X)q(4,X1)q(2,X1)q(4\))j(:)48 b Fw(to)64 b(generate)g(the)472
20488 848 y(in)m(ternal)40 b(momen)m(tum)g(v)-5 b(ariables)40
20489 b(for)h(a)g(4-jet)f(ev)m(en)m(t,)45 b(q)p 2602 795 V(q)q(gg)d(or)f(q)p
20490 2973 795 V(q)q(q)3076 812 y Fk(0)p 3100 795 V 3100 848
20491 a Fw(q)3152 812 y Fk(0)3175 848 y Fw(,)i(according)e(to)472
20492 957 y(second-order)34 b(QCD)e(matrix)f(elemen)m(ts.)0
20493 1065 y Fq(SUBROUTINE)54 b(LUXDIF\(NC,NJET,KFL,ECM,CH)q(I,TH)q(E,PH)q
20494 (I\))k(:)47 b Fw(to)35 b(describ)s(e)h(the)g(angular)e(orien-)472
20495 1173 y(tation)29 b(of)g(the)h(jets.)43 b(In)30 b(\014rst-order)g(QCD)f
20496 (the)h(complete)f(QED)g(or)h(QFD)e(form)m(ulae)g(are)472
20497 1282 y(used;)46 b(in)39 b(second)j(order)e(3-jets)g(are)g(assumed)h(to)
20498 f(ha)m(v)m(e)i(the)e(same)g(orien)m(tation)f(as)h(in)472
20499 1390 y(\014rst,)34 b(and)e(4-jets)h(are)f(appro)m(ximated)g(b)m(y)i
20500 (3-jets.)0 1638 y Fo(6.3.2)112 b(A)37 b(routine)g(for)g(onium)g(deca)m
20501 (y)0 1810 y Fw(In)31 b Fq(LUONIA)h Fw(w)m(e)g(ha)m(v)m(e)f(implemen)m
20502 (ted)f(the)h(deca)m(ys)h(of)e(hea)m(vy)i(onia)d(resonances)k(in)m(to)d
20503 (three)h(gluons)f(or)0 1919 y(t)m(w)m(o)j(gluons)f(plus)h(a)f(photon,)h
20504 (whic)m(h)g(are)f(the)h(dominan)m(t)f(non-bac)m(kground-lik)m(e)g(deca)
20505 m(ys)i(of)e(\007.)p 0 2063 1184 9 v 0 2288 9 225 v 79
20506 2203 a Fq(CALL)52 b(LUONIA\(KFL,ECM\))p 1175 2288 V 0
20507 2296 1184 9 v 0 2435 a Fo(Purp)s(ose:)c Fw(to)27 b(sim)m(ulate)e(the)j
20508 (pro)s(cess)g(e)1516 2399 y Fl(+)1576 2435 y Fw(e)1619
20509 2399 y Fk(\000)1706 2435 y Fn(!)f Fj(\015)1889 2399 y
20510 Fk(\003)1956 2435 y Fn(!)g Fw(1)2132 2399 y Fk(\000\000)2273
20511 2435 y Fw(onium)f(resonance)i Fn(!)g Fw(\(ggg)g(or)e(gg)q
20512 Fj(\015)5 b Fw(\))28 b Fn(!)472 2543 y Fw(sho)m(w)m(er)35
20513 b Fn(!)d Fw(hadrons.)0 2652 y Fq(KFL)52 b(:)216 b Fw(the)33
20514 b(\015a)m(v)m(our)h(of)e(the)h(quark)g(giving)e(rise)i(to)f(the)h
20515 (resonance.)236 2760 y Fq(=)52 b(0)f(:)217 b Fw(generate)33
20516 b(ggg)g(ev)m(en)m(ts)i(alone.)236 2868 y Fq(=)52 b(1)f(-)h(8)f(:)d
20517 Fw(generate)i(ggg)g(and)g(gg)q Fj(\015)k Fw(ev)m(en)m(ts)e(in)d
20518 (mixture)g(determined)h(b)m(y)g(the)g(squared)709 2977
20519 y(c)m(harge)33 b(of)f(\015a)m(v)m(our)h Fq(KFL)p Fw(.)h(Normally)d
20520 Fq(KFL=)j Fw(5)e(or)g(6.)0 3085 y Fq(ECM)52 b(:)216 b
20521 Fw(total)31 b(c.m.)44 b(energy)33 b(of)f(system.)0 3333
20522 y Fo(6.3.3)112 b(Common)37 b(blo)s(c)m(k)g(v)-6 b(ariables)0
20523 3505 y Fw(The)41 b(status)h(co)s(des)f(and)g(parameters)f(relev)-5
20524 b(an)m(t)41 b(for)f(the)h(e)2239 3469 y Fl(+)2298 3505
20525 y Fw(e)2341 3469 y Fk(\000)2441 3505 y Fw(routines)g(are)f(found)h(in)f
20526 (the)h(com-)0 3614 y(mon)k(blo)s(c)m(k)h Fq(LUDAT1)p
20527 Fw(.)86 b(This)46 b(common)f(blo)s(c)m(k)h(also)f(con)m(tains)i(more)e
20528 (general)h(status)g(co)s(des)h(and)0 3722 y(parameters,)33
20529 b(describ)s(ed)g(elsewhere.)p 0 3866 2876 9 v 0 4091
20530 9 225 v 79 4006 a Fq(COMMON/LUDAT1/MSTU\(200\),)q(PARU)q(\(200)q(\),MS)
20531 q(TJ\()q(200\))q(,PAR)q(J\(20)q(0\))p 2867 4091 V 0 4099
20532 2876 9 v 0 4231 a Fo(Purp)s(ose:)48 b Fw(to)f(giv)m(e)h(access)i(to)d
20533 (a)h(n)m(um)m(b)s(er)g(of)f(status)i(co)s(des)f(and)g(parameters)g
20534 (regulating)e(the)472 4339 y(p)s(erformance)33 b(of)f(the)h(e)1353
20535 4303 y Fl(+)1412 4339 y Fw(e)1455 4303 y Fk(\000)1547
20536 4339 y Fw(ev)m(en)m(t)h(generation)e(routines.)0 4448
20537 y Fq(MSTJ\(101\))54 b(:)47 b Fw(\(D=5\))29 b(giv)m(es)i(the)g(t)m(yp)s
20538 (e)g(of)e(QCD)h(corrections)h(used)g(for)f(con)m(tin)m(uum)g(ev)m(en)m
20539 (ts.)236 4556 y Fq(=)52 b(0)f(:)217 b Fw(only)32 b(q)p
20540 974 4503 52 4 v(q)h(ev)m(en)m(ts)i(are)e(generated.)236
20541 4664 y Fq(=)52 b(1)f(:)217 b Fw(q)p 760 4612 V(q)23 b(+)f(q)p
20542 983 4612 V(q)q(g)33 b(ev)m(en)m(ts)i(are)e(generated)g(according)f(to)g
20543 (\014rst-order)h(QCD.)236 4773 y Fq(=)52 b(2)f(:)217
20544 b Fw(q)p 760 4720 V(q)20 b(+)f(q)p 977 4720 V(qg)g(+)g(q)p
20545 1242 4720 V(q)q(gg)g(+)g(q)p 1557 4720 V(q)q(q)1660 4737
20546 y Fk(0)p 1683 4720 V 1683 4773 a Fw(q)1735 4737 y Fk(0)1789
20547 4773 y Fw(ev)m(en)m(ts)33 b(are)e(generated)h(according)f(to)f
20548 (second-order)709 4881 y(QCD.)236 4989 y Fq(=)52 b(3)f(:)217
20549 b Fw(q)p 760 4937 V(q)18 b(+)g(q)p 974 4937 V(q)q(g)f(+)h(q)p
20550 1237 4937 V(q)q(gg)f(+)h(q)p 1549 4937 V(q)q(q)1652 4953
20551 y Fk(0)p 1676 4937 V 1676 4989 a Fw(q)1727 4953 y Fk(0)1781
20552 4989 y Fw(ev)m(en)m(ts)33 b(are)d(generated,)i(but)f(without)e
20553 (second-order)709 5098 y(corrections)j(to)h(the)g(3-jet)f(rate.)236
20554 5206 y Fq(=)52 b(5)f(:)217 b Fw(a)51 b(parton)g(sho)m(w)m(er)i(is)e
20555 (allo)m(w)m(ed)g(to)g(dev)m(elop)i(from)d(an)h(original)e(q)p
20556 3300 5153 V(q)j(pair,)j(see)709 5315 y Fq(MSTJ\(40\))e(-)f(MSTJ\(50\))
20557 34 b Fw(for)e(details.)236 5423 y Fq(=)52 b(-1)g(:)165
20558 b Fw(only)38 b(q)p 980 5370 V(q)q(g)i(ev)m(en)m(ts)h(are)e(generated)g
20559 (\(within)f(same)h(matrix-elemen)m(t)d(cuts)k(as)f(for)709
20560 5531 y Fq(=1)p Fw(\).)j(Since)30 b(the)f(c)m(hange)h(in)e(\015a)m(v)m
20561 (our)i(comp)s(osition)d(from)h(mass)h(cuts)h(or)f(radiativ)m(e)1841
20562 5953 y(80)p eop
20563 %%Page: 81 87
20564 81 86 bop 709 -18 a Fw(corrections)48 b(is)g(not)f(tak)m(en)j(in)m(to)d
20565 (accoun)m(t,)53 b(this)48 b(option)f(is)g(not)h(in)m(tended)h(for)709
20566 90 y(quan)m(titativ)m(e)32 b(studies.)236 198 y Fq(=)52
20567 b(-2)g(:)165 b Fw(only)27 b(q)p 969 145 52 4 v(q)q(gg)h(and)g(q)p
20568 1383 145 V(q)q(q)1486 162 y Fk(0)p 1510 145 V 1510 198
20569 a Fw(q)1561 162 y Fk(0)1612 198 y Fw(ev)m(en)m(ts)i(are)d(generated)i
20570 (\(as)f(for)f Fq(=2)p Fw(\).)42 b(The)28 b(same)g(w)m(arning)709
20571 307 y(as)k(for)g Fq(=-1)i Fw(applies.)236 415 y Fq(=)52
20572 b(-3)g(:)165 b Fw(only)29 b(q)p 971 362 V(q)q(gg)h(ev)m(en)m(ts)i(are)e
20573 (generated)g(\(as)g(for)f Fq(=2)p Fw(\).)43 b(The)30
20574 b(same)g(w)m(arning)f(as)h(for)f Fq(=-1)709 523 y Fw(applies.)236
20575 632 y Fq(=)52 b(-4)g(:)165 b Fw(only)39 b(q)p 981 579
20576 V(q)q(q)1084 595 y Fk(0)p 1108 579 V 1108 632 a Fw(q)1159
20577 595 y Fk(0)1222 632 y Fw(ev)m(en)m(ts)j(are)d(generated)i(\(as)f(for)f
20578 Fq(=2)p Fw(\).)65 b(The)40 b(same)g(w)m(arning)f(as)h(for)709
20579 740 y Fq(=-1)33 b Fw(applies.)236 848 y Fo(Note)k(1:)110
20580 b Fq(MSTJ\(101\))35 b Fw(is)d(also)f(used)j(in)e Fq(LUONIA)p
20581 Fw(,)i(with)236 957 y Fn(\024)52 b Fq(4)g(:)190 b Fw(ggg)5
20582 b(+)g Fj(\015)g Fw(gg)23 b(ev)m(en)m(ts)k(are)d(generated)h(according)e
20583 (to)h(lo)m(w)m(est-order)h(matrix)d(elemen)m(ts.)236
20584 1065 y Fn(\025)52 b Fq(5)g(:)190 b Fw(a)34 b(parton)g(sho)m(w)m(er)i
20585 (is)e(allo)m(w)m(ed)f(to)h(dev)m(elop)h(from)e(the)i(original)c(ggg)k
20586 (or)f(gg)q Fj(\015)39 b Fw(con-)709 1173 y(\014guration,)31
20587 b(see)j Fq(MSTJ\(40\))53 b(-)f(MSTJ\(50\))34 b Fw(for)e(details.)236
20588 1282 y Fo(Note)37 b(2:)110 b Fw(The)25 b(default)e(v)-5
20589 b(alues)24 b(of)g(fragmen)m(tation)e(parameters)i(ha)m(v)m(e)h(b)s(een)
20590 g(c)m(hosen)h(to)e(w)m(ork)709 1390 y(w)m(ell)32 b(with)g(the)h
20591 (default)f(parton-sho)m(w)m(er)i(approac)m(h)g(ab)s(o)m(v)m(e.)45
20592 b(If)32 b(an)m(y)i(of)e(the)h(other)709 1498 y(options)e(are)i(used,)h
20593 (or)e(if)f(the)i(parton)f(sho)m(w)m(er)i(is)e(used)i(in)d(non-default)h
20594 (mo)s(de,)f(it)709 1607 y(ma)m(y)21 b(b)s(e)h(necessary)i(to)e(retune)g
20595 (fragmen)m(tation)e(parameters.)40 b(As)22 b(an)g(example,)h(w)m(e)709
20596 1715 y(note)39 b(that)h(the)g(second-order)g(matrix-elemen)m(t)e
20597 (approac)m(h)i(\()p Fq(MSTJ\(101\)=2)p Fw(\))i(at)709
20598 1823 y(PETRA/PEP)24 b(energies)f(giv)m(es)g(a)g(b)s(etter)g
20599 (description)f(when)i(the)f Fj(a)f Fw(and)h Fj(b)g Fw(param-)709
20600 1932 y(eters)k(of)f(the)h(symmetric)e(fragmen)m(tation)g(function)h
20601 (are)g(set)h(to)f Fj(a)i Fw(=)p Fq(PARJ\(41\)=1)p Fw(,)709
20602 2040 y Fj(b)g Fw(=)p Fq(PARJ\(42\)=0.7)p Fw(,)36 b(and)c(the)h(width)g
20603 (of)f(the)h(transv)m(erse)i(momen)m(tum)c(distribu-)709
20604 2148 y(tion)37 b(to)g Fj(\033)k Fw(=)p Fq(PARJ\(21\)=0.40)p
20605 Fw(.)64 b(In)38 b(principle,)g(one)g(also)f(ough)m(t)h(to)g(c)m(hange)h
20606 (the)709 2257 y(joining)26 b(parameter)h(to)h Fq
20607 (PARJ\(33\)=PARJ\(35\)=1.1)34 b Fw(to)27 b(preserv)m(e)k(a)d(\015at)g
20608 (rapidit)m(y)709 2365 y(plateau,)34 b(but)h(if)f(this)g(should)h(b)s(e)
20609 g(forgotten,)f(it)g(do)s(es)h(not)g(mak)m(e)g(to)s(o)f(m)m(uc)m(h)h
20610 (dif-)709 2473 y(ference.)44 b(F)-8 b(or)31 b(applications)f(at)h
20611 (TRIST)-8 b(AN)33 b(or)e(LEP)-8 b(,)32 b(one)g(m)m(ust)g(exp)s(ect)h
20612 (to)e(ha)m(v)m(e)709 2582 y(to)k(c)m(hange)h(the)f(matrix-elemen)m(t)e
20613 (approac)m(h)j(parameters)f(ev)m(en)i(more,)e(to)g(mak)m(e)709
20614 2690 y(up)e(for)f(additional)d(soft)k(gluon)e(e\013ects)j(not)f(co)m(v)
20615 m(ered)h(in)e(this)g(approac)m(h.)0 2798 y Fq(MSTJ\(102\))54
20616 b(:)47 b Fw(\(D=2\))26 b(inclusion)g(of)g(w)m(eak)i(e\013ects)h(\(Z)
20617 2047 2762 y Fl(0)2113 2798 y Fw(exc)m(hange\))f(for)f(\015a)m(v)m(our)h
20618 (pro)s(duction,)f(angu-)472 2907 y(lar)33 b(orien)m(tation,)g(cross)i
20619 (sections)f(and)g(initial-state)c(photon)k(radiation)e(in)h(con)m(tin)m
20620 (uum)472 3015 y(ev)m(en)m(ts.)236 3123 y Fq(=)52 b(1)f(:)217
20621 b Fw(QED,)32 b(i.e.)43 b(no)33 b(w)m(eak)g(e\013ects)h(are)f(included.)
20622 236 3232 y Fq(=)52 b(2)f(:)217 b Fw(QFD,)31 b(i.e.)43
20623 b(including)31 b(w)m(eak)j(e\013ects.)236 3340 y Fq(=)52
20624 b(3)f(:)217 b Fw(as)43 b Fq(=2)p Fw(,)k(but)d(at)g(initialization)38
20625 b(in)43 b Fq(LUXTOT)i Fw(the)f(Z)2631 3304 y Fl(0)2713
20626 3340 y Fw(width)g(is)f(calculated)g(from)709 3448 y(sin)828
20627 3409 y Fl(2)868 3448 y Fj(\022)913 3463 y Fh(W)994 3448
20628 y Fw(,)30 b Fj(\013)1113 3463 y Fl(em)1236 3448 y Fw(and)f(Z)1482
20629 3412 y Fl(0)1550 3448 y Fw(and)g(quark)h(masses)g(\(including)d(b)s
20630 (ottom)h(and)h(top)g(thresh-)709 3557 y(old)g(factors)h(for)g
20631 Fq(MSTJ\(103\))j Fw(o)s(dd\),)e(assuming)e(three)i(full)e(generations,)
20632 i(and)f(the)709 3665 y(result)i(is)g(stored)h(in)f Fq(PARJ\(124\))p
20633 Fw(.)0 3774 y Fq(MSTJ\(103\))54 b(:)47 b Fw(\(D=7\))33
20634 b(mass)h(e\013ects)h(in)e(con)m(tin)m(uum)g(matrix)g(elemen)m(ts,)h(in)
20635 f(the)i(form)d Fq(MSTJ\(103\))472 3882 y Fw(=)c Fj(M)670
20636 3897 y Fl(1)722 3882 y Fw(+)12 b(2)p Fj(M)953 3897 y
20637 Fl(2)1006 3882 y Fw(+)g(4)p Fj(M)1237 3897 y Fl(3)1277
20638 3882 y Fw(,)28 b(where)i Fj(M)1704 3897 y Fh(i)1760 3882
20639 y Fw(=)d(0)h(if)f(no)g(mass)h(e\013ects)h(and)f Fj(M)2960
20640 3897 y Fh(i)3017 3882 y Fw(=)f(1)h(if)e(mass)i(e\013ects)472
20641 3990 y(should)33 b(b)s(e)g(included.)43 b(Here;)236 4099
20642 y Fj(M)330 4114 y Fl(1)421 4099 y Fq(:)237 b Fw(threshold)32
20643 b(factor)g(for)g(new)i(\015a)m(v)m(our)f(pro)s(duction)f(according)g
20644 (to)h(QFD)e(result;)236 4207 y Fj(M)330 4222 y Fl(2)421
20645 4207 y Fq(:)237 b Fw(gluon)32 b(emission)h(probabilit)m(y)e(\(only)i
20646 (applies)g(for)g Fq(|MSTJ\(101\)|)p Fn(\024)g Fw(1,)h(otherwise)709
20647 4315 y(no)e(mass)h(e\013ects)h(an)m(yho)m(w\);)236 4424
20648 y Fj(M)330 4439 y Fl(3)421 4424 y Fq(:)237 b Fw(angular)54
20649 b(orien)m(tation)f(of)i(ev)m(en)m(t)i(\(only)e(applies)f(for)h
20650 Fq(|MSTJ\(101\)|)p Fn(\024)69 b Fw(1)55 b(and)709 4532
20651 y Fq(MSTJ\(102\)=1)p Fw(,)35 b(otherwise)e(no)g(mass)f(e\013ects)i(an)m
20652 (yho)m(w\).)0 4640 y Fq(MSTJ\(104\))54 b(:)47 b Fw(\(D=5\))33
20653 b(n)m(um)m(b)s(er)h(of)g(allo)m(w)m(ed)f(\015a)m(v)m(ours,)j(i.e.)47
20654 b(\015a)m(v)m(ours)36 b(that)d(can)i(b)s(e)f(pro)s(duced)h(in)e(a)472
20655 4749 y(con)m(tin)m(uum)d(ev)m(en)m(t)i(if)d(the)h(energy)h(is)f
20656 (enough.)43 b(A)30 b(c)m(hange)h(to)e(6)h(mak)m(es)g(top)g(pro)s
20657 (duction)472 4857 y(allo)m(w)m(ed)i(ab)s(o)m(v)m(e)h(the)f(threshold,)g
20658 (etc.)44 b(Note)33 b(that)e(in)h(q)p 2523 4804 V(q)q(q)2626
20659 4821 y Fk(0)p 2649 4804 V 2649 4857 a Fw(q)2701 4821
20660 y Fk(0)2756 4857 y Fw(ev)m(en)m(ts)j(only)c(the)i(\014rst)f(\014v)m(e)
20661 472 4965 y(\015a)m(v)m(ours)i(are)f(allo)m(w)m(ed)f(in)g(the)h
20662 (secondary)h(pair,)d(pro)s(duced)j(b)m(y)f(a)f(gluon)g(breakup.)0
20663 5074 y Fq(MSTJ\(105\))54 b(:)47 b Fw(\(D=1\))32 b(fragmen)m(tation)e
20664 (and)j(deca)m(y)h(in)e Fq(LUEEVT)i Fw(and)f Fq(LUONIA)h
20665 Fw(calls.)236 5182 y Fq(=)52 b(0)f(:)217 b Fw(no)41 b
20666 Fq(LUEXEC)i Fw(calls,)g(i.e.)70 b(only)42 b(matrix-elemen)m(t)d(and/or)
20667 i(parton-sho)m(w)m(er)i(treat-)709 5290 y(men)m(t.)236
20668 5399 y Fq(=)52 b(1)f(:)217 b(LUEXEC)34 b Fw(calls)d(are)i(made)f(to)g
20669 (generate)h(fragmen)m(tation)e(and)i(deca)m(y)h(c)m(hain.)236
20670 5507 y Fq(=)52 b(-1)g(:)165 b Fw(no)45 b Fq(LUEXEC)i
20671 Fw(calls)e(and)g(no)h(collapse)f(of)g(small)e(jet)j(systems)h(in)m(to)e
20672 (one)h(or)f(t)m(w)m(o)709 5615 y(particles)31 b(\(in)h
20673 Fq(LUPREP)p Fw(\).)1841 5953 y(81)p eop
20674 %%Page: 82 88
20675 82 87 bop 0 -18 a Fq(MSTJ\(106\))54 b(:)47 b Fw(\(D=1\))32
20676 b(angular)f(orien)m(tation)g(in)h Fq(LUEEVT)i Fw(and)e
20677 Fq(LUONIA)p Fw(.)236 90 y Fq(=)52 b(0)f(:)217 b Fw(standard)33
20678 b(orien)m(tation)e(of)i(ev)m(en)m(ts,)i(i.e.)44 b(q)34
20679 b(along)d(+)p Fj(z)38 b Fw(axis)33 b(and)p 3109 37 52
20680 4 v 33 w(q)g(along)f Fn(\000)p Fj(z)38 b Fw(axis)709
20681 198 y(or)32 b(in)g Fj(xz)38 b Fw(plane)33 b(with)f Fj(p)1612
20682 213 y Fh(x)1685 198 y Fj(>)c Fw(0)k(for)h(con)m(tin)m(uum)f(ev)m(en)m
20683 (ts,)k(and)d(g)3065 213 y Fl(1)3104 198 y Fw(g)3153 213
20684 y Fl(2)3192 198 y Fw(g)3241 213 y Fl(3)3313 198 y Fw(or)g
20685 Fj(\015)5 b Fw(g)3538 213 y Fl(2)3577 198 y Fw(g)3626
20686 213 y Fl(3)3698 198 y Fw(in)709 307 y Fj(xz)37 b Fw(plane)32
20687 b(with)h(g)1378 322 y Fl(1)1449 307 y Fw(or)g Fj(\015)k
20688 Fw(along)31 b(the)i(+)p Fj(z)k Fw(axis)c(for)f(onium)f(ev)m(en)m(ts.)
20689 236 415 y Fq(=)52 b(1)f(:)217 b Fw(random)31 b(orien)m(tation)g
20690 (according)h(to)g(matrix)f(elemen)m(ts.)0 523 y Fq(MSTJ\(107\))54
20691 b(:)47 b Fw(\(D=0\))32 b(radiativ)m(e)f(corrections)i(to)f(con)m(tin)m
20692 (uum)g(ev)m(en)m(ts.)236 632 y Fq(=)52 b(0)f(:)217 b
20693 Fw(no)32 b(radiativ)m(e)g(corrections.)236 740 y Fq(=)52
20694 b(1)f(:)217 b Fw(initial-state)27 b(radiativ)m(e)i(corrections)i
20695 (\(including)e(w)m(eak)j(e\013ects)h(for)d Fq(MSTJ\(102\)=)709
20696 848 y Fw(2)i(or)g(3\).)0 957 y Fq(MSTJ\(108\))54 b(:)47
20697 b Fw(\(D=2\))39 b(calculation)f(of)i Fj(\013)1608 972
20698 y Fl(s)1681 957 y Fw(for)f(matrix-elemen)m(t)f(alternativ)m(es.)67
20699 b(The)41 b Fq(MSTU\(111\))472 1065 y Fw(and)27 b Fq(PARU\(112\))i
20700 Fw(v)-5 b(alues)26 b(are)h(automatically)c(o)m(v)m(erwritten)28
20701 b(in)d Fq(LUEEVT)j Fw(or)f Fq(LUONIA)h Fw(calls)472 1173
20702 y(accordingly)-8 b(.)236 1282 y Fq(=)52 b(0)f(:)217 b
20703 Fw(\014xed)33 b Fj(\013)1006 1297 y Fl(s)1071 1282 y
20704 Fw(v)-5 b(alue)32 b(as)h(giv)m(en)f(in)g Fq(PARU\(111\))p
20705 Fw(.)236 1390 y Fq(=)52 b(1)f(:)217 b Fw(\014rst-order)32
20706 b(form)m(ula)f(is)h(alw)m(a)m(ys)h(used,)h(with)e(\003)2472
20707 1405 y Fl(QCD)2669 1390 y Fw(giv)m(en)g(b)m(y)j Fq(PARJ\(121\))p
20708 Fw(.)236 1498 y Fq(=)52 b(2)f(:)217 b Fw(\014rst-)30
20709 b(or)g(second-order)i(form)m(ula)d(is)h(used,)i(dep)s(ending)f(on)f(v)
20710 -5 b(alue)30 b(of)37 b Fq(MSTJ\(101\))p Fw(,)709 1607
20711 y(with)32 b(\003)999 1622 y Fl(QCD)1195 1607 y Fw(giv)m(en)h(b)m(y)i
20712 Fq(PARJ\(121\))f Fw(or)f Fq(PARJ\(122\))p Fw(.)0 1715
20713 y Fq(MSTJ\(109\))54 b(:)47 b Fw(\(D=0\))c(giv)m(es)h(a)g(p)s(ossibilit)
20714 m(y)e(to)h(switc)m(h)i(from)e(QCD)g(matrix)g(elemen)m(ts)h(to)g(some)
20715 472 1823 y(alternativ)m(e)f(to)m(y)i(mo)s(dels.)76 b(Is)44
20716 b(not)g(relev)-5 b(an)m(t)44 b(for)f(sho)m(w)m(er)j(ev)m(olution,)g
20717 Fq(MSTJ\(101\)=5)p Fw(,)472 1932 y(where)34 b(one)f(can)g(use)g
20718 Fq(MSTJ\(49\))i Fw(instead.)236 2040 y Fq(=)52 b(0)f(:)217
20719 b Fw(standard)33 b(QCD)f(scenario.)236 2148 y Fq(=)52
20720 b(1)f(:)217 b Fw(a)34 b(scalar)f(gluon)h(mo)s(del.)47
20721 b(Since)34 b(no)g(second-order)i(corrections)e(are)g(a)m(v)-5
20722 b(ailable)32 b(in)709 2257 y(this)26 b(scenario,)h(one)g(can)g(only)e
20723 (use)j(this)e(with)g Fq(MSTJ\(101\))53 b(=)f(1)27 b Fw(or)f
20724 Fq(-1)p Fw(.)41 b(Also)26 b(note)709 2365 y(that)46 b(the)h(ev)m(en)m
20725 (t-as-a-whole)f(angular)f(distribution)g(is)h(for)f(photon)i(exc)m
20726 (hange)709 2473 y(only)37 b(\(i.e.)60 b(no)38 b(w)m(eak)h(e\013ects\),)
20727 i(and)d(that)g(no)g(higher-order)f(corrections)h(to)g(the)709
20728 2582 y(total)31 b(cross)i(section)g(are)g(included.)236
20729 2690 y Fq(=)52 b(2)f(:)217 b Fw(an)36 b(Ab)s(elian)f(v)m(ector)j(gluon)
20730 d(theory)-8 b(,)38 b(with)e(the)h(colour)f(factors)g
20731 Fj(C)3197 2705 y Fh(F)3290 2690 y Fw(=)e(1)i(\(=)e(4)p
20732 Fj(=)p Fw(3)709 2798 y(in)45 b(QCD\),)g Fj(N)1245 2813
20733 y Fh(C)1354 2798 y Fw(=)50 b(0)c(\(=)k(3)45 b(in)g(QCD\))g(and)h
20734 Fj(T)2524 2813 y Fh(R)2632 2798 y Fw(=)k(3)p Fj(n)2865
20735 2813 y Fh(f)2956 2798 y Fw(\(=)g Fj(n)3178 2813 y Fh(f)3224
20736 2798 y Fj(=)p Fw(2)45 b(in)g(QCD\).)709 2907 y(If)h(one)i(selects)g
20737 Fj(\013)1395 2922 y Fl(Ab)r(elian)1690 2907 y Fw(=)k(\(4)p
20738 Fj(=)p Fw(3\))p Fj(\013)2103 2922 y Fl(QCD)2266 2907
20739 y Fw(,)e(the)e(3-jet)e(cross)i(section)f(will)d(agree)709
20740 3015 y(with)37 b(the)g(QCD)g(one,)i(and)e(di\013erences)i(are)e(to)g(b)
20741 s(e)h(found)f(only)g(in)f(4-jets.)58 b(The)709 3123 y
20742 Fq(MSTJ\(109\)=2)31 b Fw(option)d(has)h(to)g(b)s(e)g(run)g(with)g
20743 Fq(MSTJ\(110\)=1)j Fw(and)d Fq(MSTJ\(111\)=0)p Fw(;)709
20744 3232 y(if)i(need)j(b)s(e,)f(the)g(latter)e(v)-5 b(ariables)31
20745 b(will)g(b)s(e)h(o)m(v)m(erwritten)i(b)m(y)f(the)g(program.)709
20746 3340 y Fo(W)-9 b(arning:)40 b Fw(second-order)30 b(corrections)e(giv)m
20747 (e)g(a)g(large)f(negativ)m(e)i(con)m(tribution)e(to)709
20748 3448 y(the)g(3-jet)g(cross)h(section,)h(so)e(large)f(that)h(the)h
20749 (whole)f(scenario)g(is)g(of)g(doubtful)f(use.)709 3557
20750 y(In)42 b(order)h(to)f(mak)m(e)h(the)f(second-order)i(options)e(w)m
20751 (ork)h(at)f(all,)h(the)g(3-jet)f(cross)709 3665 y(section)34
20752 b(is)h(here)g(b)m(y)h(hand)e(set)i(exactly)f(equal)f(to)h(zero)g(for)f
20753 Fq(MSTJ\(101\)=2)p Fw(.)52 b(It)35 b(is)709 3774 y(here)28
20754 b(probably)e(b)s(etter)i(to)f(use)h(the)g(option)e Fq(MSTJ\(101\)=3)p
20755 Fw(,)31 b(although)26 b(this)h(is)g(not)709 3882 y(a)32
20756 b(consisten)m(t)i(pro)s(cedure)f(either.)0 3990 y Fq(MSTJ\(110\))54
20757 b(:)47 b Fw(\(D=2\))32 b(c)m(hoice)h(of)f(second-order)h(con)m
20758 (tributions)f(to)h(the)g(3-jet)e(rate.)236 4099 y Fq(=)52
20759 b(1)f(:)217 b Fw(the)33 b(GKS)f(second-order)h(matrix)e(elemen)m(ts,)i
20760 (i.e.)43 b(the)33 b(old)f Fm(Jetset)f Fw(standard.)236
20761 4207 y Fq(=)52 b(2)f(:)217 b Fw(the)32 b(Zh)m(u)g(parametrization)d(of)
20762 i(the)i(ER)-8 b(T)32 b(matrix)e(elemen)m(ts,)i(based)h(on)f(the)g(pro-)
20763 709 4315 y(gram)21 b(of)h(Kunszt)h(and)g(Ali,)f(i.e.)40
20764 b(in)22 b(historical)e(sequence)25 b(ER)-8 b(T/Kunszt/Ali/Zh)m(u.)709
20765 4424 y(The)35 b(parametrization)e(is)h(a)m(v)-5 b(ailable)32
20766 b(for)i Fj(y)h Fw(=)g(0.01,)f(0.02,)h(0.03,)g(0.04)f(and)h(0.05.)709
20767 4532 y(V)-8 b(alues)35 b(outside)h(this)g(range)g(are)g(put)g(at)g(the)
20768 g(nearest)h(b)s(order,)g(while)e(those)i(in-)709 4640
20769 y(side)27 b(it)g(are)g(giv)m(en)h(b)m(y)g(a)g(linear)e(in)m(terp)s
20770 (olation)e(b)s(et)m(w)m(een)30 b(the)e(t)m(w)m(o)g(nearest)h(p)s(oin)m
20771 (ts.)709 4749 y(Since)38 b(this)g(pro)s(cedure)g(is)g(rather)g
20772 (primitiv)m(e,)f(one)i(should)f(try)g(to)g(w)m(ork)h(at)e(one)709
20773 4857 y(of)f(the)i(v)-5 b(alues)37 b(giv)m(en)h(ab)s(o)m(v)m(e.)58
20774 b(Note)37 b(that)g(no)g(Ab)s(elian)f(QCD)h(parametrization)709
20775 4965 y(is)32 b(a)m(v)-5 b(ailable)30 b(for)i(this)g(option.)0
20776 5074 y Fq(MSTJ\(111\))54 b(:)47 b Fw(\(D=0\))40 b(use)h(of)f(optimized)
20777 f(p)s(erturbation)h(theory)h(for)f(second-order)h(matrix)e(ele-)472
20778 5182 y(men)m(ts)44 b(\(it)e(can)h(also)g(b)s(e)g(used)h(for)f
20779 (\014rst-order)g(matrix)f(elemen)m(ts,)k(but)d(here)h(it)e(only)472
20780 5290 y(corresp)s(onds)34 b(to)f(a)f(trivial)e(rescaling)h(of)h(the)h
20781 Fj(\013)2240 5305 y Fl(s)2305 5290 y Fw(argumen)m(t\).)236
20782 5399 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(optimization)d(pro)s(cedure;)34
20783 b(i.e.)43 b Fj(Q)2138 5363 y Fl(2)2205 5399 y Fw(=)28
20784 b Fj(E)2387 5363 y Fl(2)2381 5423 y(cm)2475 5399 y Fw(.)236
20785 5507 y Fq(=)52 b(1)f(:)217 b Fw(an)31 b(optimized)e Fj(Q)1368
20786 5471 y Fl(2)1439 5507 y Fw(scale)i(is)f(c)m(hosen)j(as)e
20787 Fj(Q)2273 5471 y Fl(2)2341 5507 y Fw(=)c Fj(f)11 b(E)2581
20788 5471 y Fl(2)2575 5532 y(cm)2670 5507 y Fw(,)31 b(where)h
20789 Fj(f)39 b Fw(=)p Fq(PARJ\(128\))33 b Fw(for)709 5615
20790 y(the)d(total)e(cross)j(section)f Fj(R)h Fw(factor,)f(while)e
20791 Fj(f)39 b Fw(=)p Fq(PARJ\(129\))32 b Fw(for)d(the)h(3-)f(and)h(4-jet)
20792 1841 5953 y(82)p eop
20793 %%Page: 83 89
20794 83 88 bop 709 -18 a Fw(rates.)58 b(This)38 b Fj(f)48
20795 b Fw(v)-5 b(alue)36 b(en)m(ters)j(via)e(the)h Fj(\013)2270
20796 -3 y Fl(s)2302 -18 y Fw(,)h(and)e(also)f(via)h(a)g(term)g(prop)s
20797 (ortional)709 90 y(to)30 b Fj(\013)889 54 y Fl(2)888
20798 114 y(s)945 90 y Fw(ln)16 b Fj(f)11 b Fw(.)43 b(Some)30
20799 b(constrain)m(ts)i(are)f(imp)s(osed;)f(th)m(us)i(the)g(optimized)d
20800 (`3-jet')i(con-)709 198 y(tribution)f(to)h Fj(R)i Fw(is)e(assumed)i(to)
20801 e(b)s(e)h(p)s(ositiv)m(e)f(\(for)g Fq(PARJ\(128\))p Fw(\),)k(the)d
20802 (total)e(3-jet)709 307 y(rate)d(is)f(not)h(allo)m(w)m(ed)f(to)h(b)s(e)g
20803 (negativ)m(e)g(\(for)g Fq(PARJ\(129\))p Fw(\),)j(etc.)43
20804 b(Ho)m(w)m(ev)m(er,)30 b(there)e(is)709 415 y(no)i(guaran)m(tee)i(that)
20805 e(the)h(di\013eren)m(tial)e(3-jet)h(cross)i(section)f(is)f(not)h
20806 (negativ)m(e)f(\(and)709 523 y(truncated)g(to)f(0\))f(somewhere)j
20807 (\(this)e(can)g(also)f(happ)s(en)i(with)f Fj(f)38 b Fw(=)28
20808 b(1,)i(but)f(is)g(then)709 632 y(less)37 b(frequen)m(t\).)56
20809 b(The)38 b(actually)d(obtained)h Fj(f)47 b Fw(v)-5 b(alues)37
20810 b(are)f(stored)h(in)f Fq(PARJ\(168\))709 740 y Fw(and)e
20811 Fq(PARJ\(169\))p Fw(,)k(resp)s(ectiv)m(ely)-8 b(.)51
20812 b(If)34 b(an)h(optimized)d Fj(Q)2757 704 y Fl(2)2832
20813 740 y Fw(scale)i(is)g(used,)j(then)e(the)709 848 y(\003)777
20814 863 y Fl(QCD)982 848 y Fw(\(and)42 b Fj(\013)1281 863
20815 y Fl(s)1313 848 y Fw(\))g(should)f(also)g(b)s(e)h(c)m(hanged.)72
20816 b(With)41 b(the)i(v)-5 b(alue)41 b Fj(f)54 b Fw(=)43
20817 b(0)p Fj(:)p Fw(002,)g(it)709 957 y(has)g(b)s(een)g(sho)m(wn)h([Bet89])
20818 f(that)f(a)h(\003)2165 972 y Fl(QCD)2373 957 y Fw(=)i(0)p
20819 Fj(:)p Fw(100)d(GeV)g(giv)m(es)h(a)g(reasonable)709 1065
20820 y(agreemen)m(t;)29 b(the)f(parameter)g(to)f(b)s(e)h(c)m(hanged)h(is)e
20821 Fq(PARJ\(122\))j Fw(for)d(a)g(second-order)709 1173 y(running)33
20822 b Fj(\013)1135 1188 y Fl(s)1167 1173 y Fw(.)47 b(Note)34
20823 b(that,)f(since)i(the)f(optimized)e Fj(Q)2655 1137 y
20824 Fl(2)2728 1173 y Fw(scale)i(is)f(sometimes)g(b)s(elo)m(w)709
20825 1282 y(the)28 b(c)m(harm)f(threshold,)i(the)f(e\013ectiv)m(e)g(n)m(um)m
20826 (b)s(er)g(of)f(\015a)m(v)m(ours)i(used)g(in)d Fj(\013)3348
20827 1297 y Fl(s)3408 1282 y Fw(ma)m(y)h(w)m(ell)709 1390
20828 y(b)s(e)37 b(4)h(only)-8 b(.)58 b(If)37 b(one)h(feels)f(that)h(it)e(is)
20829 h(still)f(appropriate)g(to)i(use)g(5)f(\015a)m(v)m(ours)i(\(one)709
20830 1498 y(c)m(hoice)24 b(migh)m(t)e(b)s(e)i(as)g(go)s(o)s(d)e(as)i(the)g
20831 (other\),)i(it)d(is)g(necessary)j(to)e(put)g Fq(MSTU\(113\)=5)p
20832 Fw(.)0 1607 y Fq(MSTJ\(115\))54 b(:)47 b Fw(\(D=1\))27
20833 b(do)s(cumen)m(tation)h(of)f(con)m(tin)m(uum)h(or)g(onium)f(ev)m(en)m
20834 (ts,)32 b(in)27 b(increasing)h(order)g(of)472 1715 y(completeness.)236
20835 1823 y Fq(=)52 b(0)f(:)217 b Fw(only)53 b(the)h(parton)f(sho)m(w)m(er,)
20836 61 b(the)54 b(fragmen)m(ting)e(partons)i(and)g(the)g(generated)709
20837 1932 y(hadronic)32 b(system)h(are)g(stored)g(in)f(the)h
20838 Fq(LUJETS)h Fw(common)d(blo)s(c)m(k.)236 2040 y Fq(=)52
20839 b(1)f(:)217 b Fw(also)31 b(a)i(radiativ)m(e)e(photon)i(is)f(stored)h
20840 (\(for)f(con)m(tin)m(uum)g(ev)m(en)m(ts\).)236 2148 y
20841 Fq(=)52 b(2)f(:)217 b Fw(also)31 b(the)i(original)d(e)1468
20842 2112 y Fl(+)1527 2148 y Fw(e)1570 2112 y Fk(\000)1662
20843 2148 y Fw(are)i(stored)i(\(with)e Fq(K\(I,1\)=21)p Fw(\).)236
20844 2257 y Fq(=)52 b(3)f(:)217 b Fw(also)29 b(the)i Fj(\015)36
20845 b Fw(or)30 b Fj(\015)1328 2221 y Fk(\003)1367 2257 y
20846 Fj(=)p Fw(Z)1476 2221 y Fl(0)1546 2257 y Fw(exc)m(hanged)i(for)e(con)m
20847 (tin)m(uum)h(ev)m(en)m(ts,)i(the)e(onium)e(state)i(for)709
20848 2365 y(resonance)j(ev)m(en)m(ts)g(is)f(stored)g(\(with)f
20849 Fq(K\(I,1\)=21)p Fw(\).)0 2473 y Fq(MSTJ\(116\))54 b(:)47
20850 b Fw(\(D=1\))39 b(initialization)34 b(of)39 b(total)f(cross)i(section)g
20851 (and)f(radiativ)m(e)g(photon)g(sp)s(ectrum)472 2582 y(in)32
20852 b Fq(LUEEVT)i Fw(calls.)236 2690 y Fq(=)52 b(0)f(:)217
20853 b Fw(nev)m(er;)34 b(cannot)f(b)s(e)f(used)i(together)f(with)f(radiativ)
20854 m(e)g(corrections.)236 2798 y Fq(=)52 b(1)f(:)217 b Fw(calculated)34
20855 b(at)h(\014rst)h(call)d(and)i(then)h(whenev)m(er)i Fq(KFL)e
20856 Fw(or)f Fq(MSTJ\(102\))j Fw(is)c(c)m(hanged)709 2907
20857 y(or)e Fq(ECM)h Fw(is)f(c)m(hanged)i(b)m(y)f(more)f(than)h
20858 Fq(PARJ\(139\))p Fw(.)236 3015 y Fq(=)52 b(2)f(:)217
20859 b Fw(calculated)31 b(at)i(eac)m(h)g(call.)236 3123 y
20860 Fq(=)52 b(3)f(:)217 b Fw(ev)m(erything)37 b(is)f(reinitialized)d(in)j
20861 (the)g(next)i(call,)d(but)i Fq(MSTJ\(116\))i Fw(is)d(afterw)m(ards)709
20862 3232 y(automatically)29 b(put)k Fq(=1)g Fw(for)f(use)h(in)f(subsequen)m
20863 (t)k(calls.)0 3340 y Fq(MSTJ\(119\))54 b(:)47 b Fw(\(I\))33
20864 b(c)m(hec)m(k)i(on)d(need)i(to)e(reinitialize)d Fq(LUXTOT)p
20865 Fw(.)0 3448 y Fq(MSTJ\(120\))54 b(:)47 b Fw(\(R\))g(t)m(yp)s(e)i(of)e
20866 (con)m(tin)m(uum)g(ev)m(en)m(t)j(generated)e(with)f(the)h
20867 (matrix-elemen)m(t)e(option)472 3557 y(\(with)33 b(the)g(sho)m(w)m(er)h
20868 (one,)f(the)g(result)f(is)g(alw)m(a)m(ys)i Fq(=1)p Fw(\).)236
20869 3665 y Fq(=)52 b(1)f(:)217 b Fw(q)p 760 3612 52 4 v(q)q(.)236
20870 3774 y Fq(=)52 b(2)f(:)217 b Fw(q)p 760 3721 V(q)q(g)q(.)236
20871 3882 y Fq(=)52 b(3)f(:)217 b Fw(q)p 760 3829 V(q)q(gg)33
20872 b(from)e(Ab)s(elian)g(\(QED-lik)m(e\))g(graphs)i(in)f(matrix)f(elemen)m
20873 (t.)236 3990 y Fq(=)52 b(4)f(:)217 b Fw(q)p 760 3937
20874 V(q)q(gg)35 b(from)f(non-Ab)s(elian)f(\(i.e.)50 b(con)m(taining)34
20875 b(triple-gluon)e(coupling\))h(graphs)i(in)709 4099 y(matrix)c(elemen)m
20876 (t.)236 4207 y Fq(=)52 b(5)f(:)217 b Fw(q)p 760 4154
20877 V(q)q(q)863 4171 y Fk(0)p 886 4154 V 886 4207 a Fw(q)938
20878 4171 y Fk(0)961 4207 y Fw(.)0 4315 y Fq(MSTJ\(121\))54
20879 b(:)47 b Fw(\(R\))37 b(\015ag)h(set)g(if)f(a)g(negativ)m(e)h
20880 (di\013eren)m(tial)e(cross)j(section)f(w)m(as)g(encoun)m(tered)i(in)d
20881 (the)472 4424 y(latest)d Fq(LUX3JT)i Fw(call.)47 b(Ev)m(en)m(ts)37
20882 b(are)e(still)d(generated,)j(but)g(ma)m(yb)s(e)f(not)h(quite)f
20883 (according)472 4532 y(to)44 b(the)h(distribution)d(one)i(w)m(ould)g
20884 (lik)m(e)g(\(the)g(rate)g(is)g(set)g(to)g(zero)h(in)e(the)h(regions)g
20885 (of)472 4640 y(negativ)m(e)33 b(cross)f(section,)h(and)f(the)g
20886 (di\013eren)m(tial)e(rate)i(in)f(the)h(regions)g(of)f(p)s(ositiv)m(e)h
20887 (cross)472 4749 y(section)h(is)f(rescaled)h(to)g(giv)m(e)f(the)h
20888 (`correct')g(total)e(3-jet)h(rate\).)0 4911 y Fq(PARJ\(121\))54
20889 b(:)47 b Fw(\(D=1.0)39 b(GeV\))g(\003)h(v)-5 b(alue)39
20890 b(used)i(in)d(\014rst-order)i(calculation)e(of)h Fj(\013)3095
20891 4926 y Fl(s)3166 4911 y Fw(in)g(the)h(matrix-)472 5019
20892 y(elemen)m(t)33 b(alternativ)m(e.)0 5128 y Fq(PARJ\(122\))54
20893 b(:)47 b Fw(\(D=0.25)22 b(GeV\))h(\003)f(v)-5 b(alues)23
20894 b(used)h(in)e(second-order)i(calculation)d(of)h Fj(\013)3145
20895 5143 y Fl(s)3200 5128 y Fw(in)g(the)h(matrix-)472 5236
20896 y(elemen)m(t)33 b(alternativ)m(e.)0 5344 y Fq(PARJ\(123\))54
20897 b(:)47 b Fw(\(D=91.187)31 b(GeV\))h(mass)h(of)f(Z)1777
20898 5308 y Fl(0)1849 5344 y Fw(as)g(used)i(in)e(propagators)g(for)g(the)h
20899 (QFD)f(case.)0 5453 y Fq(PARJ\(124\))54 b(:)47 b Fw(\(D=2.489)g(GeV\))g
20900 (width)h(of)g(Z)1827 5417 y Fl(0)1914 5453 y Fw(as)g(used)h(in)e
20901 (propagators)h(for)f(the)i(QFD)d(case.)472 5561 y(Ov)m(erwritten)34
20902 b(at)e(initialization)27 b(if)38 b Fq(MSTJ\(102\)=3)p
20903 Fw(.)1841 5953 y(83)p eop
20904 %%Page: 84 90
20905 84 89 bop 0 -18 a Fq(PARJ\(125\))54 b(:)47 b Fw(\(D=0.01\))31
20906 b Fj(y)1091 -3 y Fl(cut)1192 -18 y Fw(,)h(minim)m(um)d(squared)k
20907 (scaled)f(in)m(v)-5 b(arian)m(t)31 b(mass)h(of)f(an)m(y)i(t)m(w)m(o)f
20908 (partons)472 90 y(in)g(3-)f(or)h(4-jet)g(ev)m(en)m(ts;)i(the)f(main)e
20909 (user-con)m(trolled)g(matrix-elemen)m(t)f(cut.)44 b Fq(PARJ\(126\))472
20910 198 y Fw(pro)m(vides)54 b(an)f(additional)d(constrain)m(t.)104
20911 b(F)-8 b(or)52 b(eac)m(h)h(new)h(ev)m(en)m(t,)60 b(it)52
20912 b(is)g(additionally)472 307 y(c)m(hec)m(k)m(ed)43 b(that)c(the)h(total)
20913 e(3-)h(plus)g(4-jet)g(fraction)f(do)s(es)i(not)f(exceed)j(unit)m(y;)h
20914 (if)38 b(so)i(the)472 415 y(e\013ectiv)m(e)34 b Fj(y)h
20915 Fw(cut)e(will)d(b)s(e)j(dynamically)d(increased.)44 b(The)33
20916 b(actual)f Fj(y)t Fw(-cut)f(v)-5 b(alue)32 b(is)g(stored)472
20917 523 y(in)g Fq(PARJ\(150\))p Fw(,)j(ev)m(en)m(t)g(b)m(y)e(ev)m(en)m(t.)0
20918 632 y Fq(PARJ\(126\))54 b(:)47 b Fw(\(D=2.)73 b(GeV\))42
20919 b(minim)m(um)e(in)m(v)-5 b(arian)m(t)41 b(mass)i(of)f(an)m(y)h(t)m(w)m
20920 (o)g(partons)g(in)f(3-)g(or)g(4-jet)472 740 y(ev)m(en)m(ts;)f(a)35
20921 b(cut)i(in)e(addition)f(to)i(the)g(one)h(ab)s(o)m(v)m(e,)h(mainly)33
20922 b(for)j(the)g(case)h(of)f(a)g(radiativ)m(e)472 848 y(photon)d(lo)m(w)m
20923 (ering)f(the)h(hadronic)f(c.m.)43 b(energy)34 b(signi\014can)m(tly)-8
20924 b(.)0 957 y Fq(PARJ\(127\))54 b(:)47 b Fw(\(D=1.)41 b(GeV\))29
20925 b(is)g(used)h(as)f(a)g(safet)m(y)h(margin)d(for)h(small)f
20926 (colour-singlet)f(jet)j(systems,)472 1065 y(cf.)77 b
20927 Fq(PARJ\(32\))p Fw(,)49 b(sp)s(eci\014cally)43 b(q)p
20928 1689 1012 52 4 v(q)1741 1029 y Fk(0)1808 1065 y Fw(masses)h(in)f(q)p
20929 2316 1012 V(q)q(q)2419 1029 y Fk(0)p 2443 1012 V 2443
20930 1065 a Fw(q)2494 1029 y Fk(0)2561 1065 y Fw(4-jet)g(ev)m(en)m(ts)j(and)
20931 e(gg)h(mass)e(in)472 1173 y(onium)32 b Fj(\015)5 b Fw(gg)33
20932 b(ev)m(en)m(ts.)0 1282 y Fq(PARJ\(128\))54 b(:)47 b Fw(\(D=0.25\))d
20933 (optimized)g Fj(Q)1596 1245 y Fl(2)1681 1282 y Fw(scale)h(for)g(the)g
20934 (QCD)g Fj(R)i Fw(\(total)c(rate\))i(factor)g(for)g(the)472
20935 1390 y Fq(MSTJ\(111\)=1)28 b Fw(option)23 b(is)h(giv)m(en)h(b)m(y)g
20936 Fj(Q)1897 1354 y Fl(2)1965 1390 y Fw(=)i Fj(f)11 b(E)2205
20937 1354 y Fl(2)2199 1415 y(cm)2293 1390 y Fw(,)26 b(where)g
20938 Fj(f)39 b Fw(=)p Fq(PARJ\(128\))p Fw(.)k(F)-8 b(or)23
20939 b(v)-5 b(arious)472 1498 y(reasons)27 b(the)f(actually)e(used)j
20940 Fj(f)36 b Fw(v)-5 b(alue)25 b(ma)m(y)g(b)s(e)h(increased)h(compared)e
20941 (with)g(the)h(nominal)472 1607 y(one;)k(while)e Fq(PARJ\(128\))i
20942 Fw(giv)m(es)e(the)h(nominal)c(v)-5 b(alue,)29 b Fq(PARJ\(168\))h
20943 Fw(giv)m(es)f(the)f(actual)f(one)472 1715 y(for)32 b(the)h(curren)m(t)h
20944 (ev)m(en)m(t.)0 1823 y Fq(PARJ\(129\))54 b(:)47 b Fw(\(D=0.002\))25
20945 b(optimized)g Fj(Q)1607 1787 y Fl(2)1673 1823 y Fw(scale)i(for)f(the)h
20946 (3-)f(and)g(4-jet)g(rate)h(for)f(the)h Fq(MSTJ\(111\)=1)472
20947 1932 y Fw(option)33 b(is)g(giv)m(en)h(b)m(y)h Fj(Q)1346
20948 1896 y Fl(2)1415 1932 y Fw(=)30 b Fj(f)11 b(E)1658 1896
20949 y Fl(2)1652 1956 y(cm)1746 1932 y Fw(,)34 b(where)h Fj(f)40
20950 b Fw(=)p Fq(PARJ\(129\))p Fw(.)49 b(F)-8 b(or)33 b(v)-5
20951 b(arious)33 b(reasons)i(the)472 2040 y(actually)29 b(used)i
20952 Fj(f)40 b Fw(v)-5 b(alue)29 b(ma)m(y)g(b)s(e)h(increased)h(compared)e
20953 (with)g(the)h(nominal)d(one;)k(while)472 2148 y Fq(PARJ\(129\))44
20954 b Fw(giv)m(es)d(the)h(nominal)d(v)-5 b(alue,)42 b Fq(PARJ\(169\))i
20955 Fw(giv)m(es)d(the)h(actual)e(one)h(for)g(the)472 2257
20956 y(curren)m(t)f(ev)m(en)m(t.)65 b(The)39 b(default)f(v)-5
20957 b(alue)39 b(is)f(in)g(agreemen)m(t)h(with)g(the)g(studies)g(of)g(Bethk)
20958 m(e)472 2365 y([Bet89].)0 2473 y Fq(PARJ\(131\),)54 b(PARJ\(132\))g(:)
20959 47 b Fw(\(D=2*0.\))i(longitudinal)31 b(p)s(olarizations)h
20960 Fj(P)2826 2432 y Fl(+)2812 2498 y(L)2919 2473 y Fw(and)j
20961 Fj(P)3188 2432 y Fk(\000)3174 2498 y Fl(L)3281 2473 y
20962 Fw(of)g(incoming)472 2582 y(e)515 2546 y Fl(+)607 2582
20963 y Fw(and)e(e)840 2546 y Fk(\000)899 2582 y Fw(.)0 2700
20964 y Fq(PARJ\(133\))54 b(:)47 b Fw(\(D=0.\))42 b(transv)m(erse)32
20965 b(p)s(olarization)27 b Fj(P)2015 2715 y Fl(T)2097 2700
20966 y Fw(=)2201 2597 y Fg(q)p 2284 2597 271 4 v 103 x Fj(P)2361
20967 2659 y Fl(+)2347 2725 y(T)2419 2700 y Fj(P)2496 2659
20968 y Fk(\000)2482 2725 y Fl(T)2555 2700 y Fw(,)k(with)e
20969 Fj(P)2909 2659 y Fl(+)2895 2725 y(T)2998 2700 y Fw(and)h
20970 Fj(P)3262 2659 y Fk(\000)3248 2725 y Fl(T)3350 2700 y
20971 Fw(transv)m(erse)472 2827 y(p)s(olarizations)g(of)i(incoming)f(e)1622
20972 2791 y Fl(+)1713 2827 y Fw(and)i(e)1946 2791 y Fk(\000)2006
20973 2827 y Fw(.)0 2936 y Fq(PARJ\(134\))54 b(:)47 b Fw(\(D=0.\))h(mean)35
20974 b(of)f(transv)m(erse)i(p)s(olarization)31 b(directions)j(of)g(incoming)
20975 f(e)3365 2900 y Fl(+)3458 2936 y Fw(and)i(e)3693 2900
20976 y Fk(\000)3752 2936 y Fw(,)472 3044 y(\001)p Fj(')g Fw(=)e(\()p
20977 Fj(')863 3008 y Fl(+)947 3044 y Fw(+)24 b Fj(')1111 3008
20978 y Fk(\000)1170 3044 y Fw(\))p Fj(=)p Fw(2,)37 b(with)f
20979 Fj(')g Fw(the)h(azim)m(uthal)d(angle)h(of)h(p)s(olarization,)e(leading)
20980 h(to)h(a)472 3152 y(shift)c(in)g(the)h Fj(')g Fw(distribution)d(of)i
20981 (jets)i(b)m(y)f(\001)p Fj(')p Fw(.)0 3261 y Fq(PARJ\(135\))54
20982 b(:)47 b Fw(\(D=0.01\))24 b(minim)m(um)e(photon)j(energy)h(fraction)e
20983 (\(of)h(b)s(eam)g(energy\))h(in)e(initial-state)472 3369
20984 y(radiation;)j(should)g(normally)d(nev)m(er)29 b(b)s(e)e(c)m(hanged)h
20985 (\(if)e(lo)m(w)m(ered)h(to)s(o)g(m)m(uc)m(h,)h(the)g(fraction)472
20986 3477 y(of)e(ev)m(en)m(ts)j(con)m(taining)c(a)h(radiativ)m(e)f(photon)h
20987 (will)e(exceed)29 b(unit)m(y)-8 b(,)27 b(leading)e(to)h(problems\).)0
20988 3586 y Fq(PARJ\(136\))54 b(:)47 b Fw(\(D=0.99\))22 b(maxim)m(um)f
20989 (photon)i(energy)h(fraction)e(\(of)g(b)s(eam)h(energy\))h(in)e
20990 (initial-state)472 3694 y(radiation;)j(ma)m(y)f(b)s(e)g(c)m(hanged)h
20991 (to)f(re\015ect)h(actual)e(trigger)g(conditions)g(of)h(a)f(detector)i
20992 (\(but)472 3802 y(m)m(ust)33 b(alw)m(a)m(ys)g(b)s(e)g(larger)e(than)i
20993 Fq(PARJ\(135\))p Fw(\).)0 3911 y Fq(PARJ\(139\))54 b(:)47
20994 b Fw(\(D=0.2)32 b(GeV\))h(maxim)m(um)e(deviation)h(of)g
20995 Fj(E)2286 3926 y Fl(cm)2414 3911 y Fw(from)g(the)h(corresp)s(onding)g
20996 (v)-5 b(alue)33 b(at)472 4019 y(last)f Fq(LUXTOT)i Fw(call,)d(ab)s(o)m
20997 (v)m(e)j(whic)m(h)f(a)f(new)i(call)c(is)j(made)f(if)38
20998 b Fq(MSTJ\(116\)=1)p Fw(.)0 4128 y Fq(PARJ\(141\))54
20999 b(:)47 b Fw(\(R\))c(v)-5 b(alue)42 b(of)h Fj(R)q Fw(,)j(the)d(ratio)f
21000 (of)g(con)m(tin)m(uum)h(cross)h(section)f(to)g(the)g(lo)m(w)m
21001 (est-order)472 4236 y(m)m(uon)28 b(pair)e(pro)s(duction)h(cross)h
21002 (section,)h(as)e(giv)m(en)h(in)e(massless)i(QED)f(\(i.e.)41
21003 b(three)28 b(times)472 4344 y(the)33 b(sum)g(of)f(activ)m(e)h(quark)g
21004 (squared)h(c)m(harges,)g(p)s(ossibly)e(mo)s(di\014ed)f(for)h(p)s
21005 (olarization\).)0 4453 y Fq(PARJ\(142\))54 b(:)47 b Fw(\(R\))25
21006 b(v)-5 b(alue)24 b(of)h Fj(R)h Fw(including)d(quark-mass)j(e\013ects)g
21007 (\(for)f Fq(MSTJ\(102\)=1)p Fw(\))i(and/or)e(w)m(eak)472
21008 4561 y(propagator)32 b(e\013ects)i(\(for)e Fq(MSTJ\(102\)=2)p
21009 Fw(\).)0 4669 y Fq(PARJ\(143\))54 b(:)47 b Fw(\(R\))36
21010 b(v)-5 b(alue)37 b(of)f Fj(R)i Fw(as)e Fq(PARJ\(142\))p
21011 Fw(,)41 b(but)c(including)d(QCD)j(corrections)g(as)g(giv)m(en)g(b)m(y)
21012 472 4778 y Fq(MSTJ\(101\))p Fw(.)0 4886 y Fq(PARJ\(144\))54
21013 b(:)47 b Fw(\(R\))37 b(v)-5 b(alue)36 b(of)g Fj(R)i Fw(as)f
21014 Fq(PARJ\(143\))p Fw(,)k(but)c(additionally)d(including)h(corrections)i
21015 (from)472 4994 y(initial-state)43 b(photon)k(radiation)e(\(if)52
21016 b Fq(MSTJ\(107\)=1)p Fw(\).)89 b(Since)47 b(the)g(e\013ects)h(of)e(hea)
21017 m(vy)472 5103 y(\015a)m(v)m(our)35 b(thresholds)f(are)f(not)h(simply)e
21018 (in)m(tegrable,)h(the)h(initial)29 b(v)-5 b(alue)33 b(of)40
21019 b Fq(PARJ\(144\))c Fw(is)472 5211 y(up)s(dated)e(during)d(the)i(course)
21020 h(of)e(the)h(run)g(to)f(impro)m(v)m(e)g(accuracy)-8 b(.)0
21021 5319 y Fq(PARJ\(145\))54 b(-)d(PARJ\(148\))j(:)47 b Fw(\(R\))31
21022 b(absolute)h(cross)g(sections)g(in)f(n)m(b)h(as)g(for)e(the)i(cases)h
21023 Fq(PARJ\(141\))472 5428 y(-)52 b(PARJ\(144\))35 b Fw(ab)s(o)m(v)m(e.)0
21024 5536 y Fq(PARJ\(150\))54 b(:)47 b Fw(\(R\))38 b(curren)m(t)h
21025 (e\013ectiv)m(e)g(matrix)e(elemen)m(t)g(cut-o\013)h Fj(y)2571
21026 5551 y Fl(cut)2673 5536 y Fw(,)h(as)f(giv)m(en)h(b)m(y)h
21027 Fq(PARJ\(125\),)472 5644 y(PARJ\(126\))d Fw(and)d(the)g(requiremen)m
21028 (ts)h(of)f(ha)m(ving)f(non-negativ)m(e)h(cross)h(sections)g(for)e(2-,)
21029 1841 5953 y(84)p eop
21030 %%Page: 85 91
21031 85 90 bop 472 -18 a Fw(3-)32 b(and)h(4-jet)f(ev)m(en)m(ts.)46
21032 b(Not)32 b(used)i(in)e(parton)g(sho)m(w)m(ers.)0 90 y
21033 Fq(PARJ\(151\))54 b(:)47 b Fw(\(R\))32 b(v)-5 b(alue)32
21034 b(of)g(c.m.)44 b(energy)35 b Fq(ECM)e Fw(at)f(last)g
21035 Fq(LUXTOT)i Fw(call.)0 198 y Fq(PARJ\(152\))54 b(:)47
21036 b Fw(\(R\))32 b(curren)m(t)i(\014rst-order)e(con)m(tribution)f(to)h
21037 (the)h(3-jet)f(fraction;)f(mo)s(di\014ed)g(b)m(y)j(mass)472
21038 307 y(e\013ects.)45 b(Not)33 b(used)g(in)f(parton)h(sho)m(w)m(ers.)0
21039 415 y Fq(PARJ\(153\))54 b(:)47 b Fw(\(R\))e(curren)m(t)i(second-order)g
21040 (con)m(tribution)d(to)h(the)h(3-jet)f(fraction;)51 b(mo)s(di\014ed)45
21041 b(b)m(y)472 523 y(mass)33 b(e\013ects.)45 b(Not)32 b(used)i(in)e
21042 (parton)g(sho)m(w)m(ers.)0 632 y Fq(PARJ\(154\))54 b(:)47
21043 b Fw(\(R\))e(curren)m(t)i(second-order)g(con)m(tribution)d(to)h(the)h
21044 (4-jet)f(fraction;)51 b(mo)s(di\014ed)45 b(b)m(y)472
21045 740 y(mass)33 b(e\013ects.)45 b(Not)32 b(used)i(in)e(parton)g(sho)m(w)m
21046 (ers.)0 848 y Fq(PARJ\(155\))54 b(:)47 b Fw(\(R\))34
21047 b(curren)m(t)i(fraction)e(of)g(4-jet)g(rate)g(attributable)f(to)i(q)p
21048 2756 795 52 4 v(q)q(q)2859 812 y Fk(0)p 2882 795 V 2882
21049 848 a Fw(q)2934 812 y Fk(0)2992 848 y Fw(ev)m(en)m(ts)i(rather)d(than)
21050 472 957 y(q)p 523 904 V(q)q(gg)g(ones;)f(mo)s(di\014ed)f(b)m(y)h(mass)g
21051 (e\013ects.)44 b(Not)33 b(used)h(in)d(parton)i(sho)m(w)m(ers.)0
21052 1065 y Fq(PARJ\(156\))54 b(:)47 b Fw(\(R\))c(has)g(t)m(w)m(o)h
21053 (functions)f(when)i(using)e(second-order)h(QCD.)f(F)-8
21054 b(or)42 b(a)h(3-jet)g(ev)m(en)m(t,)472 1173 y(it)g(giv)m(es)i(the)g
21055 (ratio)d(of)i(the)g(second-order)h(to)f(the)h(total)d(3-jet)h(cross)j
21056 (section)e(in)f(the)472 1282 y(giv)m(en)c(kinematical)d(p)s(oin)m(t.)60
21057 b(F)-8 b(or)37 b(a)i(4-jet)e(ev)m(en)m(t,)42 b(it)37
21058 b(giv)m(es)i(the)g(ratio)e(of)h(the)h(mo)s(di\014ed)472
21059 1390 y(4-jet)c(cross)i(section,)g(obtained)e(when)i(neglecting)d(in)m
21060 (terference)j(terms)f(whose)g(colour)472 1498 y(\015o)m(w)f(is)f(not)g
21061 (w)m(ell)g(de\014ned,)i(to)e(the)h(full)d(unmo)s(di\014ed)i(one,)h(all)
21062 d(ev)-5 b(aluated)34 b(in)g(the)g(giv)m(en)472 1607 y(kinematical)c(p)s
21063 (oin)m(t.)43 b(Not)32 b(used)i(in)e(parton)g(sho)m(w)m(ers.)0
21064 1715 y Fq(PARJ\(157\))54 b(-)d(PARJ\(159\))j(:)47 b Fw(\(I\))26
21065 b(used)i(for)d(cross-section)i(calculations)d(to)h(include)h(mass)g
21066 (thresh-)472 1823 y(old)45 b(e\013ects)h(to)f(radiativ)m(e)f(photon)h
21067 (cross)h(section.)81 b(What)45 b(is)f(stored)i(is)f(basic)g(cross)472
21068 1932 y(section,)33 b(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(generated)f
21069 (and)e(n)m(um)m(b)s(er)h(that)g(passed)h(cuts.)0 2040
21070 y Fq(PARJ\(160\))54 b(:)47 b Fw(\(R\))32 b(nominal)e(fraction)i(of)g
21071 (ev)m(en)m(ts)j(that)d(should)g(con)m(tain)h(a)f(radiativ)m(e)f
21072 (photon.)0 2148 y Fq(PARJ\(161\))54 b(-)d(PARJ\(164\))j(:)47
21073 b Fw(\(I\))36 b(giv)m(e)g(shap)s(e)h(of)e(radiativ)m(e)g(photon)h(sp)s
21074 (ectrum)g(including)e(w)m(eak)472 2257 y(e\013ects.)0
21075 2365 y Fq(PARJ\(168\))54 b(:)47 b Fw(\(R\))28 b(actual)g
21076 Fj(f)39 b Fw(v)-5 b(alue)28 b(of)g(curren)m(t)i(ev)m(en)m(t)h(in)c
21077 (optimized)g(p)s(erturbation)h(theory)h(for)f Fj(R)q
21078 Fw(;)472 2473 y(see)34 b Fq(MSTJ\(111\))h Fw(and)e Fq(PARJ\(128\))p
21079 Fw(.)0 2582 y Fq(PARJ\(169\))54 b(:)47 b Fw(\(R\))30
21080 b(actual)g Fj(f)41 b Fw(v)-5 b(alue)29 b(of)h(curren)m(t)i(ev)m(en)m(t)
21081 g(in)d(optimized)g(p)s(erturbation)g(theory)i(for)f(3-)472
21082 2690 y(and)j(4-jet)f(rate;)h(see)g Fq(MSTJ\(111\))i Fw(and)e
21083 Fq(PARJ\(129\))p Fw(.)0 2798 y Fq(PARJ\(171\))54 b(:)47
21084 b Fw(\(R\))38 b(fraction)e(of)h(cross)i(section)f(corresp)s(onding)g
21085 (to)f(the)h(axial)e(coupling)g(of)i(quark)472 2907 y(pair)28
21086 b(to)h(the)g(in)m(termediate)f Fj(\015)1568 2871 y Fk(\003)1608
21087 2907 y Fj(=)p Fw(Z)1717 2871 y Fl(0)1784 2907 y Fw(state;)j(needed)g
21088 (for)d(the)h(Ab)s(elian)f(gluon)g(mo)s(del)f(3-jet)472
21089 3015 y(matrix)k(elemen)m(t.)0 3288 y Fp(6.4)135 b(Examples)0
21090 3460 y Fw(An)32 b(ordinary)g(e)595 3424 y Fl(+)654 3460
21091 y Fw(e)697 3424 y Fk(\000)788 3460 y Fw(annihilation)d(ev)m(en)m(t)34
21092 b(in)d(the)h(con)m(tin)m(uum,)g(at)g(a)g(c.m.)43 b(energy)33
21093 b(of)e(40)h(GeV,)g(ma)m(y)0 3569 y(b)s(e)h(generated)g(with)308
21094 3752 y Fq(CALL)52 b(LUEEVT\(0,40.\))0 3936 y Fw(In)41
21095 b(this)g(case)h(a)e(q)p 684 3883 V(q)i(ev)m(en)m(t)h(is)e(generated,)j
21096 (including)39 b(w)m(eak)j(e\013ects,)j(follo)m(w)m(ed)40
21097 b(b)m(y)h(parton-sho)m(w)m(er)0 4044 y(ev)m(olution)22
21098 b(and)i(fragmen)m(tation/deca)m(y)e(treatmen)m(t.)40
21099 b(Before)24 b(a)f(call)e(to)i Fq(LUEEVT)p Fw(,)i(ho)m(w)m(ev)m(er,)i(a)
21100 c(n)m(um)m(b)s(er)0 4152 y(of)41 b(default)f(v)-5 b(alues)41
21101 b(ma)m(y)g(b)s(e)g(c)m(hanged,)j(e.g.)69 b Fq(MSTJ\(101\)=2)44
21102 b Fw(to)d(use)h(second-order)g(QCD)f(matrix)0 4261 y(elemen)m(ts,)28
21103 b(giving)c(a)i(mixture)f(of)g(q)p 1293 4208 V(q)q(,)i(q)p
21104 1450 4208 V(q)q(g)q(,)h(q)p 1658 4208 V(q)q(gg)q(,)f(and)f(q)p
21105 2097 4208 V(q)q(q)2200 4225 y Fk(0)p 2224 4208 V 2224
21106 4261 a Fw(q)2275 4225 y Fk(0)2324 4261 y Fw(ev)m(en)m(ts,)k
21107 Fq(MSTJ\(102\)=1)f Fw(to)d(ha)m(v)m(e)h(QED)0 4369 y(only)-8
21108 b(,)42 b Fq(MSTJ\(104\)=6)h Fw(to)d(allo)m(w)f(t)p 1272
21109 4298 38 4 v(t)h(pro)s(duction)g(as)g(w)m(ell,)i Fq(MSTJ\(107\)=1)h
21110 Fw(to)d(include)g(initial-state)0 4478 y(photon)35 b(radiation)d
21111 (\(including)h(a)h(treatmen)m(t)h(of)f(the)h(Z)2096 4441
21112 y Fl(0)2170 4478 y Fw(p)s(ole\),)f Fq(PARJ\(123\)=92.0)k
21113 Fw(to)d(c)m(hange)g(the)0 4586 y(Z)60 4550 y Fl(0)126
21114 4586 y Fw(mass,)28 b Fq(PARJ\(81\)=0.3)i Fw(to)c(c)m(hange)i(the)g
21115 (parton-sho)m(w)m(er)f(\003)g(v)-5 b(alue,)28 b(or)e
21116 Fq(PARJ\(82\)=1.5)k Fw(to)d(c)m(hange)0 4694 y(the)f(parton-sho)m(w)m
21117 (er)h(cut-o\013.)41 b(If)26 b(initial-state)d(photon)j(radiation)d(is)j
21118 (used,)i(some)e(restrictions)g(apply)0 4803 y(to)37 b(ho)m(w)h(one)g
21119 (can)g(alternate)f(the)h(generation)e(of)h(ev)m(en)m(ts)j(at)d
21120 (di\013eren)m(t)h(energies)g(or)f(with)g(di\013eren)m(t)0
21121 4911 y(Z)60 4875 y Fl(0)138 4911 y Fw(mass,)k(etc.)63
21122 b(These)41 b(restrictions)e(are)g(not)g(there)g(for)g(e\016ciency)h
21123 (reasons)g(\(the)g(extra)f(time)f(for)0 5019 y(recalculating)k(the)j
21124 (extra)g(constan)m(ts)g(ev)m(ery)h(time)d(is)h(small\),)h(but)g(b)s
21125 (ecause)g(it)f(ties)g(in)f(with)h(the)0 5128 y(cross-section)33
21126 b(calculations)e(\(see)j Fq(PARJ\(144\))p Fw(\).)146
21127 5236 y(Most)40 b(parameters)f(can)g(b)s(e)g(c)m(hanged)h(indep)s(enden)
21128 m(tly)g(of)e(eac)m(h)i(other.)62 b(Ho)m(w)m(ev)m(er,)43
21129 b(if)38 b(just)h(one)0 5344 y(or)e(a)f(few)i(parameters/switc)m(hes)h
21130 (are)e(c)m(hanged,)i(one)e(should)g(not)g(b)s(e)g(surprised)h(to)f
21131 (\014nd)h(a)e(rather)0 5453 y(bad)f(agreemen)m(t)g(with)f(the)i(data,)f
21132 (lik)m(e)f(e.g.)50 b(a)35 b(to)s(o)f(lo)m(w)g(or)g(high)g(a)m(v)m
21133 (erage)i(hadron)f(m)m(ultiplicit)m(y)-8 b(.)46 b(It)0
21134 5561 y(is)36 b(therefore)h(usually)e(necessary)k(to)d(retune)h(one)g
21135 (parameter)e(related)h(to)g(the)h(p)s(erturbativ)m(e)g(QCD)0
21136 5669 y(description,)50 b(lik)m(e)45 b Fj(\013)798 5684
21137 y Fl(s)877 5669 y Fw(or)h(\003,)k(one)d(of)f(the)h(t)m(w)m(o)g
21138 (parameters)f Fj(a)h Fw(and)f Fj(b)h Fw(of)f(the)h(Lund)g(symmetric)
21139 1841 5953 y(85)p eop
21140 %%Page: 86 92
21141 86 91 bop 0 -18 a Fw(fragmen)m(tation)40 b(function)i(\(since)g(they)h
21142 (are)f(so)g(strongly)g(correlated,)i(it)d(is)g(often)h(not)g(necessary)
21143 0 90 y(to)h(retune)i(b)s(oth)e(of)h(them\),)i(and)e(the)g(a)m(v)m
21144 (erage)g(fragmen)m(tation)e(transv)m(erse)k(momen)m(tum)c(|)h(see)0
21145 198 y(Note)32 b(2)g(of)g(the)g Fq(MSTJ\(101\))j Fw(description)c(for)h
21146 (an)g(example.)43 b(F)-8 b(or)31 b(v)m(ery)j(detailed)d(studies)h(it)f
21147 (ma)m(y)h(b)s(e)0 307 y(necessary)j(to)d(retune)i(ev)m(en)g(more)e
21148 (parameters.)146 415 y(The)i(three-gluon)e(and)g(gluon{gluon{photon)f
21149 (deca)m(ys)j(of)e(\007)h(ma)m(y)f(b)s(e)h(sim)m(ulated)e(b)m(y)i(a)g
21150 (call)308 606 y Fq(CALL)52 b(LUONIA\(5,9.46\))0 798 y
21151 Fw(Unfortunately)-8 b(,)32 b(with)h(presen)m(t)h(top-mass)e(limits,)e
21152 (this)i(routine)g(will)f(not)h(b)s(e)h(of)g(m)m(uc)m(h)g(in)m(terest)g
21153 (for)0 906 y(top)s(onium)e(studies)i(\(w)m(eak)h(deca)m(ys)g(will)c
21154 (dominate\).)146 1014 y(A)43 b(t)m(ypical)f(program)g(for)g(analysis)g
21155 (of)h(e)1694 978 y Fl(+)1753 1014 y Fw(e)1796 978 y Fk(\000)1898
21156 1014 y Fw(annihilation)d(ev)m(en)m(ts)45 b(at)d(100)g(GeV)h(migh)m(t)f
21157 (lo)s(ok)0 1123 y(something)32 b(lik)m(e)308 1314 y Fq
21158 (COMMON/LUJETS/N,K\(4000,5\),)q(P\(40)q(00,5)q(\),V\()q(400)q(0,5\))308
21159 1422 y(COMMON/LUDAT1/MSTU\(200\),PA)q(RU\(2)q(00\),)q(MSTJ)q(\(20)q
21160 (0\),P)q(ARJ\()q(200\))308 1531 y(COMMON/LUDAT2/KCHG\(500,3\),)q(PMAS)q
21161 (\(500)q(,4\),)q(PAR)q(F\(20)q(00\),)q(VCKM)q(\(4,4)q(\))308
21162 1639 y(COMMON/LUDAT3/MDCY\(500,3\),)q(MDME)q(\(200)q(0,2\))q(,BR)q
21163 (AT\(2)q(000\))q(,KFD)q(P\(20)q(00,)q(5\))308 1747 y
21164 (MDCY\(LUCOMP\(111\),1\)=0)569 b(!)52 b(put)g(pi0)g(stable)308
21165 1856 y(MSTJ\(107\)=1)1079 b(!)52 b(include)h(initial-state)h(radiation)
21166 308 1964 y(PARU\(41\)=1.)1079 b(!)52 b(use)g(linear)h(sphericity)308
21167 2072 y(.....)1385 b(!)52 b(other)g(desired)h(changes)308
21168 2181 y(.....)1385 b(!)52 b(initialize)i(analysis)f(statistics)308
21169 2289 y(DO)e(100)h(IEVENT=1,1000)619 b(!)52 b(loop)g(over)g(events)308
21170 2397 y(CALL)g(LUEEVT\(0,100.\))670 b(!)52 b(generate)h(new)f(event)308
21171 2506 y(IF\(IEVENT.EQ.1\))j(CALL)d(LULIST\(2\))105 b(!)52
21172 b(list)g(first)h(event)308 2614 y(CALL)f(LUTABU\(11\))874
21173 b(!)52 b(save)g(particle)h(composition)1948 2722 y(!)154
21174 b(statistics)308 2831 y(CALL)52 b(LUEDIT\(2\))925 b(!)52
21175 b(remove)h(decayed)g(particles)308 2939 y(CALL)f(LUSPHE\(SPH,APL\))619
21176 b(!)52 b(linear)h(sphericity)g(analysis)308 3047 y(IF\(SPH.LT.0.\))h
21177 (GOTO)f(100)513 b(!)52 b(too)g(few)g(particles)h(in)f(event)h(for)1948
21178 3156 y(!)154 b(LUSPHE)53 b(to)f(work)g(on)g(it)g(\(unusual\))308
21179 3264 y(CALL)g(LUEDIT\(31\))874 b(!)52 b(orient)h(event)f(along)h(axes)f
21180 (above)308 3373 y(IF\(IEVENT.EQ.1\))j(CALL)d(LULIST\(2\))105
21181 b(!)52 b(list)g(first)h(treated)g(event)308 3481 y(.....)1385
21182 b(!)52 b(fill)g(analysis)h(statistics)308 3589 y(CALL)f
21183 (LUTHRU\(THR,OBL\))619 b(!)52 b(now)g(do)g(thrust)g(analysis)308
21184 3698 y(.....)1385 b(!)52 b(more)g(analysis)h(statistics)103
21185 3806 y(100)f(CONTINUE)1232 b(!)308 3914 y(CALL)52 b(LUTABU\(12\))874
21186 b(!)52 b(print)g(particle)i(composition)1948 4023 y(!)154
21187 b(statistics)308 4131 y(.....)1385 b(!)52 b(print)g(analysis)i
21188 (statistics)308 4239 y(END)1841 5953 y Fw(86)p eop
21189 %%Page: 87 93
21190 87 92 bop 0 -18 a Ft(7)161 b(Pro)t(cess)53 b(Generation)g(in)h(PYTHIA)0
21191 189 y Fw(Muc)m(h)36 b(can)f(b)s(e)g(said)f(ab)s(out)g(the)h(hard)g(pro)
21192 s(cesses)h(in)e Fm(Pythia)h Fw(and)g(the)g(w)m(a)m(y)g(they)h(are)f
21193 (generated.)0 297 y(Therefore)40 b(the)f(material)c(has)k(b)s(een)g
21194 (split)f(in)m(to)f(three)j(sections.)62 b(In)38 b(the)h(curren)m(t)h
21195 (one)f(the)g(philo-)0 405 y(soph)m(y)j(underlying)d(the)i(ev)m(en)m(t)h
21196 (generation)e(sc)m(heme)i(is)d(presen)m(ted.)69 b(Here)41
21197 b(w)m(e)h(pro)m(vide)e(a)g(generic)0 514 y(description,)i(where)f(some)
21198 f(sp)s(ecial)f(cases)j(are)e(sw)m(ept)h(under)g(the)g(carp)s(et.)66
21199 b(In)41 b(the)f(next)h(section,)0 622 y(the)31 b(existing)f(pro)s
21200 (cesses)j(are)e(en)m(umerated,)g(with)g(some)f(commen)m(ts)h(ab)s(out)f
21201 (applications)f(and)h(limi-)0 730 y(tations.)44 b(Finally)-8
21202 b(,)30 b(in)j(the)g(third)f(section)i(the)f(generation)f(routines)h
21203 (and)g(common)f(blo)s(c)m(k)h(switc)m(hes)0 839 y(are)g(describ)s(ed.)
21204 146 947 y(The)27 b(section)e(starts)h(with)f(a)h(surv)m(ey)h(of)e
21205 (parton)g(distributions,)h(follo)m(w)m(ed)e(b)m(y)j(a)e(detailed)f
21206 (descrip-)0 1055 y(tion)32 b(of)h(the)h(simple)e(2)d
21207 Fn(!)g Fw(2)k(and)g(2)c Fn(!)g Fw(1)k(hard)h(subpro)s(cess)h
21208 (generation)e(sc)m(hemes,)i(including)d(pairs)0 1164
21209 y(of)g(resonances.)45 b(This)33 b(is)f(follo)m(w)m(ed)g(b)m(y)h(a)g
21210 (few)g(commen)m(ts)f(on)h(more)f(complicated)f(con\014gurations.)0
21211 1438 y Fp(7.1)135 b(P)l(arton)46 b(Distributions)0 1610
21212 y Fw(The)34 b(parton-distribution)d(function)i Fj(f)1490
21213 1574 y Fh(a)1479 1635 y(i)1531 1610 y Fw(\()p Fj(x;)17
21214 b(Q)1745 1574 y Fl(2)1785 1610 y Fw(\))33 b(parametrizes)g(the)h
21215 (probabilit)m(y)d(to)i(\014nd)h(a)f(parton)0 1719 y Fj(i)41
21216 b Fw(with)g(a)f(fraction)g Fj(x)h Fw(of)f(the)i(b)s(eam)e(energy)i
21217 (when)g(the)f(b)s(eam)f(particle)g Fj(a)h Fw(is)f(prob)s(ed)h(b)m(y)h
21218 (a)e(hard)0 1827 y(scattering)22 b(at)g(virtualit)m(y)f(scale)i
21219 Fj(Q)1271 1791 y Fl(2)1310 1827 y Fw(.)40 b(Usually)22
21220 b(the)h(momen)m(tum-w)m(eigh)m(ted)f(com)m(bination)e
21221 Fj(xf)3446 1791 y Fh(a)3435 1852 y(i)3488 1827 y Fw(\()p
21222 Fj(x;)d(Q)3702 1791 y Fl(2)3742 1827 y Fw(\))0 1948 y(is)35
21223 b(used,)i(for)d(whic)m(h)i(the)f(normalization)d(condition)2008
21224 1881 y Fg(P)2096 1968 y Fh(i)2141 1877 y Fg(R)2196 1903
21225 y Fl(1)2180 1973 y(0)2252 1948 y Fj(dx)17 b(xf)2489 1911
21226 y Fh(a)2478 1972 y(i)2531 1948 y Fw(\()p Fj(x;)g(Q)2745
21227 1911 y Fl(2)2784 1948 y Fw(\))32 b Fn(\021)h Fw(1)i(normally)d
21228 (applies.)0 2056 y(The)c Fj(Q)272 2020 y Fl(2)338 2056
21229 y Fw(dep)s(endence)h(of)d(parton)h(distributions)e(is)h(p)s(erturbativ)
21230 m(ely)h(calculable,)f(see)i(section)f(10.3.1.)146 2164
21231 y(The)33 b(parton)e(distributions)e(in)i Fm(Pythia)g
21232 Fw(come)g(in)g(man)m(y)g(shap)s(es,)i(as)e(sho)m(wn)i(in)d(the)i(follo)
21233 m(wing.)0 2412 y Fo(7.1.1)112 b(Bary)m(ons)0 2585 y Fw(F)-8
21234 b(or)35 b(protons,)i(man)m(y)f(sets)h(exist)f(on)f(the)h(mark)m(et.)54
21235 b(These)37 b(are)f(obtained)f(b)m(y)i(\014ts)f(to)f(exp)s(erimen)m(tal)
21236 0 2693 y(data,)43 b(constrained)e(so)g(that)f(the)i Fj(Q)1390
21237 2657 y Fl(2)1470 2693 y Fw(dep)s(endence)h(is)e(in)f(accordance)i(with)
21238 e(the)h(standard)h(QCD)0 2801 y(ev)m(olution)25 b(equations.)41
21239 b(The)27 b(\(new\))f(default)f(in)g Fm(Pythia)g Fw(is)g(CTEQ2L)i
21240 ([Bot93)o(],)g(a)f(mo)s(dern)f(leading-)0 2910 y(order)33
21241 b(\014t.)43 b(T)-8 b(en)34 b(other)e(sets)i(are)f(found)f(in)g
21242 Fm(Pythia)p Fw(.)44 b(The)33 b(complete)f(list)f(is:)145
21243 3023 y Fn(\017)49 b Fw(EHLQ)33 b(sets)g(1)g(and)f(2)h([Eic84)o(];)145
21244 3141 y Fn(\017)49 b Fw(DO)32 b(sets)i(1)e(and)g(2)h([Duk82];)145
21245 3258 y Fn(\017)49 b Fw(the)28 b(other)g(CTEQ2)h(\014ts,)h(namely)d
21246 (CTEQ2M,)i(CTEQ2MS,)h(CTEQ2MF,)f(CTEQ2ML,)g(and)244 3367
21247 y(CTEQ2D)k([Bot93)o(];)g(and)145 3485 y Fn(\017)49 b
21248 Fw(the)33 b(dynamically)d(generated)k(\014t)e(GR)-11
21249 b(V)32 b(LO)h(\(up)s(dated)g(v)m(ersion\))g([Glu92)n(].)0
21250 3598 y(Of)24 b(these,)j(EHLQ,)e(DO,)f(CTEQ2L)h(and)f(GR)-11
21251 b(V)24 b(LO)g(are)g(leading-order)f(parton)h(distributions,)g(while)0
21252 3706 y(CTEQ2D)30 b(are)g(in)e(the)j(next-to-leading-order)c(DIS)i(sc)m
21253 (heme)i(and)f(the)g(rest)g(in)f(the)h(next-to-leading)0
21254 3814 y(order)p 258 3736 144 4 v 36 w(MS)37 b(sc)m(heme.)54
21255 b(The)37 b(EHLQ)g(and)f(DO)f(sets)i(are)f(b)m(y)h(no)m(w)f(rather)h
21256 (old,)e(and)h(are)g(k)m(ept)i(mainly)0 3923 y(for)g(bac)m(kw)m(ards)j
21257 (compatibilit)m(y)-8 b(.)58 b(Since)39 b(only)f(Born-lev)m(el)f(matrix)
21258 g(elemen)m(ts)i(are)g(included)f(in)g(the)0 4031 y(program,)45
21259 b(there)f(is)f(no)h(particular)e(reason)i(to)f(use)i(higher-order)d
21260 (parton)i(distributions)e(|)h(the)0 4139 y(resulting)27
21261 b(com)m(bination)g(is)g(an)m(yw)m(a)m(y)k(only)d(go)s(o)s(d)f(to)h
21262 (leading-order)e(accuracy)-8 b(.)43 b(\(Some)28 b(higher-order)0
21263 4248 y(corrections)i(are)h(e\013ectiv)m(ely)g(included)f(b)m(y)h(the)g
21264 (parton-sho)m(w)m(er)g(treatmen)m(t,)g(but)f(there)i(is)d(no)i(exact)0
21265 4356 y(matc)m(h.\))146 4464 y(There)38 b(is)e(a)g(steady)h(\015o)m(w)g
21266 (of)f(new)h(parton-distribution)d(sets)j(on)f(the)h(mark)m(et.)55
21267 b(T)-8 b(o)36 b(k)m(eep)i(trac)m(k)0 4573 y(of)32 b(all)f(of)h(them)g
21268 (is)g(a)h(ma)5 b(jor)31 b(w)m(ork)j(on)e(its)g(o)m(wn.)45
21269 b(Therefore)34 b Fm(Pythia)e Fw(con)m(tains)h(an)g(in)m(terface)f(to)h
21270 (an)0 4681 y(external)39 b(library)e(of)h(parton)h(distribution)d
21271 (functions,)41 b Fm(Pdflib)e Fw([Plo93)o(].)62 b(This)39
21272 b(is)f(a)g(truly)h(ency-)0 4789 y(clop)s(edic)e(collection)f(of)i
21273 (almost)e(all)g(proton,)k(pion)d(and)h(photon)g(parton)g(distributions)
21274 f(prop)s(osed)0 4898 y(since)d(the)f(late)g(70's.)45
21275 b(Tw)m(o)34 b(dumm)m(y)f(routines)g(come)g(with)g(the)h
21276 Fm(Pythia)f Fw(pac)m(k)-5 b(age,)34 b(so)f(as)h(to)f(a)m(v)m(oid)0
21277 5006 y(problems)39 b(with)g(unresolv)m(ed)i(external)f(references)i(if)
21278 j Fm(Pdflib)40 b Fw(is)g(not)f(link)m(ed.)65 b(One)40
21279 b(should)f(also)0 5114 y(note)d(that)f Fm(Pythia)g Fw(do)s(es)h(not)g
21280 (c)m(hec)m(k)h(the)f(results,)h(but)f(assumes)g(that)f(sensible)h(answ)
21281 m(ers)h(will)c(b)s(e)0 5223 y(returned,)38 b(also)d(outside)h(the)h
21282 (nominal)c(\()p Fj(x;)17 b(Q)1729 5187 y Fl(2)1769 5223
21283 y Fw(\))36 b(range)g(of)f(a)h(set.)55 b(Only)36 b(the)g(sets)h(that)f
21284 (come)g(with)0 5331 y Fm(Pythia)29 b Fw(ha)m(v)m(e)h(b)s(een)g
21285 (suitably)e(mo)s(di\014ed)g(to)g(pro)m(vide)h(reasonable)g(answ)m(ers)i
21286 (outside)e(their)f(nominal)0 5439 y(domain)j(of)h(v)-5
21287 b(alidit)m(y)d(.)146 5548 y(F)g(rom)39 b(the)i(proton)g(parton)f
21288 (distributions,)h(those)h(of)e(the)h(neutron)g(are)g(obtained)f(b)m(y)h
21289 (isospin)0 5656 y(conjugation,)31 b(i.e.)43 b Fj(f)782
21290 5620 y Fl(n)771 5681 y(u)853 5656 y Fw(=)28 b Fj(f)1016
21291 5609 y Fl(p)1005 5681 y(d)1091 5656 y Fw(and)33 b Fj(f)1340
21292 5620 y Fl(n)1329 5681 y(d)1411 5656 y Fw(=)27 b Fj(f)1573
21293 5620 y Fl(p)1562 5681 y(u)1616 5656 y Fw(.)1841 5953
21294 y(87)p eop
21295 %%Page: 88 94
21296 88 93 bop 146 -18 a Fw(The)44 b(program)c(do)s(es)j(allo)m(w)e(for)h
21297 (incoming)e(b)s(eams)i(of)g(a)g(n)m(um)m(b)s(er)g(of)g(h)m(yp)s(erons:)
21298 65 b(\003)3383 -55 y Fl(0)3422 -18 y Fw(,)45 b(\006)3564
21299 -55 y Fk(\000)p Fh(;)p Fl(0)p Fh(;)p Fl(+)3752 -18 y
21300 Fw(,)0 90 y(\004)65 54 y Fk(\000)p Fh(;)p Fl(0)214 90
21301 y Fw(and)36 b(\012)477 54 y Fk(\000)537 90 y Fw(.)52
21302 b(Here)36 b(one)g(has)g(essen)m(tially)f(no)g(exp)s(erimen)m(tal)g
21303 (information.)49 b(One)36 b(could)f(imagine)0 198 y(to)f(construct)i
21304 (mo)s(dels)d(in)h(whic)m(h)h(v)-5 b(alence)35 b(s)g(quarks)h(are)f
21305 (found)g(at)f(larger)f(a)m(v)m(erage)j Fj(x)f Fw(v)-5
21306 b(alues)34 b(than)0 307 y(v)-5 b(alence)35 b(u)h(and)f(d)h(ones,)g(b)s
21307 (ecause)h(of)e(the)h(larger)e(s-quark)i(mass.)51 b(Ho)m(w)m(ev)m(er,)39
21308 b(h)m(yp)s(eron)d(b)s(eams)f(is)g(a)0 415 y(little-used)24
21309 b(part)h(of)g(the)h(program,)g(included)f(only)g(for)g(a)g(few)h(sp)s
21310 (eci\014c)g(studies.)42 b(Therefore)27 b(a)e(simple)0
21311 523 y(approac)m(h)i(has)g(b)s(een)h(tak)m(en,)h(in)d(whic)m(h)h(an)g(a)
21312 m(v)m(erage)h(v)-5 b(alence)27 b(quark)h(distribution)c(is)j
21313 (constructed)h(as)0 632 y Fj(f)48 647 y Fl(v)l(al)168
21314 632 y Fw(=)g(\()p Fj(f)369 584 y Fl(p)358 657 y(u)p Fh(;)p
21315 Fl(v)l(al)523 632 y Fw(+)14 b Fj(f)672 584 y Fl(p)661
21316 657 y(d)p Fh(;)p Fl(v)l(al)812 632 y Fw(\))p Fj(=)p Fw(3,)29
21317 b(according)f(to)g(whic)m(h)h(eac)m(h)h(v)-5 b(alence)28
21318 b(quark)i(in)e(a)g(h)m(yp)s(eron)h(is)g(assumed)g(to)0
21319 740 y(b)s(e)g(distributed.)42 b(Sea-quark)29 b(and)g(gluon)f
21320 (distributions)g(are)h(tak)m(en)g(as)g(in)f(the)i(proton.)42
21321 b(An)m(y)30 b(proton)0 848 y(parton)i(distribution)f(set)i(ma)m(y)g(b)s
21322 (e)f(used)i(with)e(this)h(pro)s(cedure.)0 1096 y Fo(7.1.2)112
21323 b(Mesons)39 b(and)f(photons)0 1268 y Fw(Data)45 b(on)h(meson)g(parton)g
21324 (distributions)e(are)j(scarce,)j(so)d(only)e(v)m(ery)j(few)e(sets)h(ha)
21325 m(v)m(e)h(b)s(een)f(con-)0 1377 y(structed,)37 b(and)e(only)f(for)g
21326 (the)i Fj(\031)1199 1341 y Fk(\006)1258 1377 y Fw(.)50
21327 b Fm(Pythia)35 b Fw(con)m(tains)g(the)g(Ow)m(ens)i(set)e(1)g(and)g(2)f
21328 (parton)h(distribu-)0 1485 y(tions)29 b([Ow)m(e84],)h(whic)m(h)g(for)f
21329 (a)g(long)f(time)g(w)m(ere)i(essen)m(tially)f(the)h(only)e(sets)j(on)e
21330 (the)h(mark)m(et,)g(and)f(the)0 1593 y(more)h(recen)m(t)i(dynamically)c
21331 (generated)k(GR)-11 b(V)30 b(LO)g(\(up)s(dated)h(v)m(ersion\))g
21332 ([Glu92a)o(].)42 b(The)32 b(\014rst)f(one)g(is)0 1702
21333 y(the)37 b(default)e(in)h Fm(Pythia)p Fw(.)54 b(F)-8
21334 b(urther)36 b(sets)i(are)e(found)g(in)g Fm(Pdflib)g Fw(and)h(can)f
21335 (therefore)h(b)s(e)f(used)i(b)m(y)0 1810 y Fm(Pythia)p
21336 Fw(,)33 b(just)g(as)g(describ)s(ed)g(ab)s(o)m(v)m(e)g(for)f(protons.)
21337 146 1918 y(Sets)j(of)e(photon)h(parton)g(distributions)e(ha)m(v)m(e)j
21338 (b)s(een)g(obtained)e(as)h(for)g(hadrons;)h(an)e(additional)0
21339 2027 y(complication)c(comes)k(from)e(the)i(necessit)m(y)h(to)e(handle)g
21340 (the)h(matc)m(hing)e(of)h(the)h(v)m(ector)g(meson)g(dom-)0
21341 2135 y(inance)j(\(VMD\))h(and)f(the)h(p)s(erturbativ)m(e)g(pieces)g(in)
21342 f(a)g(consisten)m(t)h(manner.)55 b(New)37 b(sets)h(ha)m(v)m(e)g(b)s
21343 (een)0 2243 y(pro)s(duced)25 b(where)g(this)e(division)g(is)g(explicit)
21344 g(and)h(therefore)g(esp)s(ecially)f(w)m(ell)g(suited)h(for)g
21345 (applications)0 2352 y(to)k(ev)m(en)m(t)i(generation[Sc)m(h95].)42
21346 b(The)30 b(Sc)m(h)m(uler)f(and)f(Sj\177)-49 b(ostand)29
21347 b(set)g(1D)e(is)h(the)h(default.)41 b(Although)28 b(the)0
21348 2460 y(v)m(ector-meson)38 b(philosoph)m(y)f(is)g(at)h(the)g(base,)h
21349 (the)f(details)e(of)i(the)f(\014ts)i(do)e(not)g(rely)h(on)f(pion)g
21350 (data,)0 2569 y(but)c(only)f(on)g Fj(F)605 2521 y Fh(\015)591
21351 2590 y Fl(2)682 2569 y Fw(data.)43 b(Here)33 b(follo)m(ws)f(a)g(brief)g
21352 (summary)g(of)g(relev)-5 b(an)m(t)33 b(details.)146 2677
21353 y(Photons)i(ob)s(ey)f(a)g(set)h(of)e(inhomogeneous)h(ev)m(olution)f
21354 (equations,)h(where)i(the)e(inhomogeneous)0 2785 y(term)j(is)f(induced)
21355 i(b)m(y)g Fj(\015)j Fn(!)35 b Fw(q)p 1126 2732 52 4 v(q)j(branc)m
21356 (hings.)58 b(The)38 b(solution)e(can)h(b)s(e)h(written)f(as)g(the)h
21357 (sum)f(of)g(t)m(w)m(o)0 2894 y(terms,)862 3002 y Fj(f)921
21358 2961 y Fh(\015)910 3027 y(a)965 3002 y Fw(\()p Fj(x;)17
21359 b(Q)1179 2961 y Fl(2)1219 3002 y Fw(\))28 b(=)f Fj(f)1447
21360 2961 y Fh(\015)t(;)p Fl(NP)1436 3027 y Fh(a)1612 3002
21361 y Fw(\()p Fj(x;)17 b(Q)1826 2961 y Fl(2)1866 3002 y Fw(;)g
21362 Fj(Q)1987 2961 y Fl(2)1987 3027 y(0)2026 3002 y Fw(\))22
21363 b(+)g Fj(f)2243 2961 y Fh(\015)t(;)p Fl(PT)2232 3027
21364 y Fh(a)2406 3002 y Fw(\()p Fj(x;)17 b(Q)2620 2961 y Fl(2)2659
21365 3002 y Fw(;)g Fj(Q)2780 2961 y Fl(2)2780 3027 y(0)2820
21366 3002 y Fw(\))32 b Fj(;)689 b Fw(\(46\))0 3163 y(where)64
21367 b(the)g(former)e(term)h(is)g(a)g(solution)f(to)h(the)g(homogeneous)h
21368 (ev)m(olution)e(with)h(a)g(\(non-)0 3272 y(p)s(erturbativ)m(e\))43
21369 b(input)g(at)f Fj(Q)j Fw(=)g Fj(Q)1329 3287 y Fl(0)1412
21370 3272 y Fw(and)e(the)g(latter)f(is)g(a)h(solution)e(to)i(the)g(full)e
21371 (inhomogeneous)0 3380 y(equation)33 b(with)f(b)s(oundary)h(condition)f
21372 Fj(f)1548 3344 y Fh(\015)t(;)p Fl(PT)1537 3405 y Fh(a)1710
21373 3380 y Fw(\()p Fj(x;)17 b(Q)1924 3344 y Fl(2)1924 3405
21374 y(0)1964 3380 y Fw(;)g Fj(Q)2085 3344 y Fl(2)2085 3405
21375 y(0)2125 3380 y Fw(\))28 b Fn(\021)g Fw(0.)44 b(One)33
21376 b(p)s(ossible)g(ph)m(ysics)h(in)m(terpreta-)0 3488 y(tion)h(is)h(to)g
21377 (let)f Fj(f)632 3452 y Fh(\015)t(;)p Fl(NP)621 3513 y
21378 Fh(a)833 3488 y Fw(corresp)s(ond)i(to)f Fj(\015)j Fn($)33
21379 b Fj(V)58 b Fw(\015uctuations,)37 b(where)h Fj(V)55 b
21380 Fw(=)34 b Fj(\032)2915 3452 y Fl(0)2955 3488 y Fj(;)17
21381 b(!)t(;)g(\036;)g(:)g(:)g(:)33 b Fw(is)j(a)g(set)h(of)0
21382 3597 y(v)m(ector)i(mesons,)h(and)f(let)e Fj(f)1070 3561
21383 y Fh(\015)t(;)p Fl(PT)1059 3621 y Fh(a)1271 3597 y Fw(corresp)s(ond)i
21384 (to)f(p)s(erturbativ)m(e)h(\(`anomalous'\))d Fj(\015)42
21385 b Fn($)37 b Fw(q)p 3364 3544 V(q)i(\015uctua-)0 3705
21386 y(tions.)57 b(The)38 b(discrete)g(sp)s(ectum)f(of)g(v)m(ector)h(mesons)
21387 g(can)g(b)s(e)f(com)m(bined)g(with)g(the)g(con)m(tin)m(uous)h(\(in)0
21388 3813 y(virtualit)m(y)31 b Fj(k)485 3777 y Fl(2)524 3813
21389 y Fw(\))i(sp)s(ectrum)g(of)f(q)p 1183 3760 V(q)h(\015uctuations,)g(to)f
21390 (giv)m(e)245 4091 y Fj(f)304 4049 y Fh(\015)293 4115
21391 y(a)348 4091 y Fw(\()p Fj(x;)17 b(Q)562 4049 y Fl(2)602
21392 4091 y Fw(\))27 b(=)771 4007 y Fg(X)802 4191 y Fh(V)917
21393 4023 y Fw(4)p Fj(\031)t(\013)1087 4038 y Fl(em)p 917
21394 4067 265 4 v 995 4159 a Fj(f)1054 4125 y Fl(2)1043 4183
21395 y Fh(V)1191 4091 y Fj(f)1250 4049 y Fh(\015)t(;V)1239
21396 4115 y(a)1371 4091 y Fw(\()p Fj(x;)17 b(Q)1585 4049 y
21397 Fl(2)1625 4091 y Fw(\))22 b(+)1793 4023 y Fj(\013)1855
21398 4038 y Fl(em)p 1793 4067 157 4 v 1817 4159 a Fw(2)p Fj(\031)1992
21399 4007 y Fg(X)2034 4182 y Fl(q)2129 4091 y Fw(2)p Fj(e)2223
21400 4049 y Fl(2)2223 4115 y(q)2297 3973 y Fg(Z)2380 4000
21401 y Fh(Q)2436 3976 y Ff(2)2344 4162 y Fh(Q)2400 4139 y
21402 Ff(2)2400 4185 y(0)2501 4023 y Fw(d)p Fj(k)2609 3987
21403 y Fl(2)p 2501 4067 148 4 v 2528 4159 a Fj(k)2582 4130
21404 y Fl(2)2676 4091 y Fj(f)2735 4049 y Fh(\015)t(;)p Fl(q)p
21405 2832 4011 38 4 v(q)2724 4115 y Fh(a)2873 4091 y Fw(\()p
21406 Fj(x;)17 b(Q)3087 4049 y Fl(2)3127 4091 y Fw(;)g Fj(k)3225
21407 4049 y Fl(2)3264 4091 y Fw(\))32 b Fj(;)245 b Fw(\(47\))0
21408 4390 y(where)34 b(eac)m(h)f(comp)s(onen)m(t)g Fj(f)1059
21409 4354 y Fh(\015)t(;V)1212 4390 y Fw(and)g Fj(f)1461 4354
21410 y Fh(\015)t(;)p Fl(q)p 1558 4316 V(q)1631 4390 y Fw(ob)s(eys)h(a)e
21411 (unit)g(momen)m(tum)f(sum)i(rule.)146 4499 y(In)f(sets)g(1)f(the)g
21412 Fj(Q)779 4514 y Fl(0)850 4499 y Fw(scale)g(is)f(pic)m(k)m(ed)i(at)f(a)g
21413 (lo)m(w)f(v)-5 b(alue,)31 b(0.6)g(GeV,)g(where)h(an)f(iden)m
21414 (ti\014cation)f(of)g(the)0 4607 y(non-p)s(erturbativ)m(e)35
21415 b(comp)s(onen)m(t)f(with)g(a)g(set)i(of)e(lo)m(w-lying)e(mesons)j(app)s
21416 (ear)f(natural,)g(while)g(sets)i(2)0 4715 y(use)30 b(a)e(higher)h(v)-5
21417 b(alue,)29 b(2)f(GeV,)h(where)h(the)f(v)-5 b(alidit)m(y)27
21418 b(of)h(p)s(erturbation)g(theory)i(is)e(b)s(etter)h(established.)0
21419 4824 y(The)38 b(data)g(are)f(not)g(go)s(o)s(d)g(enough)h(to)f(allo)m(w)
21420 f(a)h(precise)h(determination)e(of)h(\003)2973 4839 y
21421 Fl(QCD)3137 4824 y Fw(.)58 b(Therefore)38 b(w)m(e)0 4946
21422 y(use)46 b(a)f(\014xed)i(v)-5 b(alue)44 b(\003)856 4910
21423 y Fl(\(4\))1000 4946 y Fw(=)49 b(200)44 b(MeV,)i(in)f(agreemen)m(t)g
21424 (with)g(con)m(v)m(en)m(tional)g(results)h(for)f(proton)0
21425 5054 y(distributions.)e(In)33 b(the)h(VMD)e(comp)s(onen)m(t)h(the)h
21426 Fj(\032)1887 5018 y Fl(0)1959 5054 y Fw(and)f Fj(!)j
21427 Fw(ha)m(v)m(e)f(b)s(een)e(added)h(coheren)m(tly)-8 b(,)34
21428 b(so)f(that)0 5163 y(u)p 54 5110 55 4 v(u)28 b(:)g(d)p
21429 245 5083 V(d)g(=)f(4)h(:)g(1)k(at)g Fj(Q)839 5178 y Fl(0)879
21430 5163 y Fw(.)146 5271 y(Unlik)m(e)37 b(the)h(p,)h(the)e
21431 Fj(\015)42 b Fw(has)c(a)f(direct)g(comp)s(onen)m(t)g(where)i(the)f
21432 (photon)f(acts)h(as)f(an)g(unresolv)m(ed)0 5379 y(prob)s(e.)44
21433 b(In)33 b(the)g(de\014nition)e(of)h Fj(F)1223 5332 y
21434 Fh(\015)1209 5401 y Fl(2)1300 5379 y Fw(this)g(adds)h(a)f(comp)s(onen)m
21435 (t)h Fj(C)2375 5343 y Fh(\015)2419 5379 y Fw(,)g(sym)m(b)s(olically)801
21436 5607 y Fj(F)878 5559 y Fh(\015)864 5628 y Fl(2)922 5607
21437 y Fw(\()p Fj(x;)17 b(Q)1136 5565 y Fl(2)1176 5607 y Fw(\))27
21438 b(=)1345 5524 y Fg(X)1386 5698 y Fl(q)1481 5607 y Fj(e)1526
21439 5565 y Fl(2)1526 5631 y(q)1585 5510 y Fg(h)1624 5607
21440 y Fj(f)1683 5565 y Fh(\015)1672 5631 y Fl(q)1749 5607
21441 y Fw(+)22 b Fj(f)1906 5559 y Fh(\015)p 1895 5592 42 4
21442 v 1895 5631 a Fl(q)1950 5510 y Fg(i)2012 5607 y Fn(\012)g
21443 Fj(C)2181 5622 y Fl(q)2244 5607 y Fw(+)h Fj(f)2402 5565
21444 y Fh(\015)2391 5631 y Fl(g)2468 5607 y Fn(\012)f Fj(C)2637
21445 5622 y Fl(g)2700 5607 y Fw(+)g Fj(C)2875 5565 y Fh(\015)2952
21446 5607 y Fj(:)627 b Fw(\(48\))1841 5953 y(88)p eop
21447 %%Page: 89 95
21448 89 94 bop 0 -18 a Fw(Since)33 b Fj(C)332 -55 y Fh(\015)404
21449 -18 y Fn(\021)c Fw(0)k(in)f(leading)f(order,)i(and)g(since)g(w)m(e)h
21450 (sta)m(y)g(with)f(leading-order)d(\014ts,)k(it)e(is)g(p)s(ermissible)0
21451 90 y(to)j(neglect)g(this)g(complication.)49 b(Numerically)-8
21452 b(,)33 b(ho)m(w)m(ev)m(er,)39 b(it)34 b(mak)m(es)i(a)f(non-negligible)d
21453 (di\013erence.)0 198 y(W)-8 b(e)27 b(therefore)f(mak)m(e)h(t)m(w)m(o)g
21454 (kinds)f(of)g(\014ts,)i(one)e(DIS)g(t)m(yp)s(e)h(with)f
21455 Fj(C)2400 162 y Fh(\015)2472 198 y Fw(=)i(0)e(and)g(one)p
21456 3007 120 144 4 v 27 w(MS)g(t)m(yp)s(e)h(including)0 307
21457 y(the)33 b(univ)m(ersal)f(part)h(of)f Fj(C)980 270 y
21458 Fh(\015)1024 307 y Fw(.)146 415 y(When)47 b(jet)f(pro)s(duction)g(is)f
21459 (studied)i(for)e(real)h(incoming)d(photons,)50 b(the)d(standard)f(ev)m
21460 (olution)0 523 y(approac)m(h)31 b(is)g(reasonable)g(also)e(for)i(hea)m
21461 (vy)h(\015a)m(v)m(ours,)h(i.e.)42 b(predominan)m(tly)30
21462 b(the)h(c,)h(but)f(with)g(a)f(lo)m(w)m(er)0 632 y(cut-o\013)36
21463 b Fj(Q)387 647 y Fl(0)462 632 y Fn(\031)f Fj(m)659 647
21464 y Fl(c)732 632 y Fw(for)h Fj(\015)k Fn(!)34 b Fw(c)p
21465 1153 579 44 4 v(c)q(.)56 b(Mo)m(ving)36 b(to)h(deep)h(inelastic)d
21466 (scattering,)i(e)p Fj(\015)j Fn(!)35 b Fw(e)p Fj(X)8
21467 b Fw(,)38 b(there)f(is)g(an)0 740 y(extra)43 b(kinematical)c(constrain)
21468 m(t:)63 b Fj(W)1416 704 y Fl(2)1500 740 y Fw(=)44 b Fj(Q)1697
21469 704 y Fl(2)1736 740 y Fw(\(1)29 b Fn(\000)g Fj(x)p Fw(\))p
21470 Fj(=x)45 b(>)f Fw(4)p Fj(m)2454 704 y Fl(2)2454 765 y(c)2493
21471 740 y Fw(.)73 b(It)42 b(is)g(here)h(b)s(etter)g(to)f(use)h(the)0
21472 848 y(`Bethe-Heitler')d(cross)i(section)f(for)f Fj(\015)1460
21473 812 y Fk(\003)1499 848 y Fj(\015)47 b Fn(!)41 b Fw(c)p
21474 1781 795 V(c)q(.)68 b(Therefore)41 b(eac)m(h)h(distribution)d(app)s
21475 (ears)i(in)f(t)m(w)m(o)0 957 y(v)-5 b(arian)m(ts.)42
21476 b(F)-8 b(or)27 b(applications)f(to)i(real)g Fj(\015)5
21477 b Fw('s)29 b(the)g(parton)f(distributions)f(are)h(calculated)f(as)i
21478 (the)g(sum)f(of)0 1065 y(a)36 b(v)m(ector-meson)h(part)g(and)f(an)h
21479 (anomalous)e(part)h(including)f(all)f(\014v)m(e)k(\015a)m(v)m(ours.)57
21480 b(F)-8 b(or)36 b(applications)0 1173 y(to)e(DIS,)h(the)h(sum)e(runs)i
21481 (o)m(v)m(er)g(the)f(same)g(v)m(ector-meson)g(part,)h(an)e(anomalous)f
21482 (part)i(and)g(p)s(ossibly)0 1282 y(a)d Fj(C)158 1245
21483 y Fh(\015)235 1282 y Fw(part)h(for)f(the)h(three)g(ligh)m(t)e(\015a)m
21484 (v)m(ours,)j(and)e(a)h(Bethe-Heitler)f(part)g(for)g(c)h(and)g(b.)146
21485 1390 y(In)43 b(addition)e(to)h(the)h(SaS)g(sets,)j Fm(Pythia)d
21486 Fw(also)e(con)m(tains)i(the)g(Drees{Grassie)f(set)i(of)e(parton)0
21487 1498 y(distributions)35 b([Dre85])i(and,)h(as)f(for)g(the)g(proton,)h
21488 (there)f(is)g(an)g(in)m(terface)g(to)f(the)i Fm(Pdflib)f
21489 Fw(library)0 1607 y([Plo93)o(].)42 b(Ho)m(w)m(ev)m(er,)31
21490 b(these)e(sets)g(do)e(not)h(allo)m(w)e(a)h(sub)s(division)g(of)g(the)h
21491 (photon)g(parton)f(distributions)0 1715 y(in)m(to)f(one)g(VMD)g(part)h
21492 (and)f(one)h(anomalous)d(part.)41 b(This)27 b(sub)s(division)e(is)h
21493 (necessary)j(a)d(sophisticated)0 1823 y(mo)s(delling)36
21494 b(of)j Fj(\015)5 b Fw(p)40 b(and)f Fj(\015)5 b(\015)45
21495 b Fw(ev)m(en)m(ts,)f(see)c(ab)s(o)m(v)m(e)h(and)e(section)h(7.7.2.)64
21496 b(As)40 b(an)f(alternativ)m(e,)i(for)e(the)0 1932 y(VMD)33
21497 b(part)f(alone,)g(the)h Fj(\032)981 1896 y Fl(0)1053
21498 1932 y Fw(parton)f(distribution)f(can)i(b)s(e)g(found)f(from)g(the)h
21499 (assumed)g(equalit)m(y)1294 2191 y Fj(f)1353 2143 y Fh(\032)1389
21500 2120 y Ff(0)1342 2213 y Fh(i)1455 2191 y Fw(=)28 b Fj(f)1618
21501 2149 y Fh(\031)1661 2126 y Ff(0)1607 2215 y Fh(i)1727
21502 2191 y Fw(=)1840 2123 y(1)p 1840 2167 49 4 v 1840 2259
21503 a(2)1916 2191 y(\()p Fj(f)2013 2149 y Fh(\031)2056 2126
21504 y Ff(+)2002 2215 y Fh(i)2132 2191 y Fw(+)22 b Fj(f)2289
21505 2149 y Fh(\031)2332 2126 y Fd(\000)2278 2215 y Fh(i)2388
21506 2191 y Fw(\))33 b Fj(:)1120 b Fw(\(49\))0 2446 y(Th)m(us)33
21507 b(an)m(y)f Fj(\031)488 2410 y Fl(+)578 2446 y Fw(parton)f(distribution)
21508 e(set,)j(from)e(an)m(y)i(library)-8 b(,)30 b(can)h(b)s(e)g(turned)h(in)
21509 m(to)f(a)g(VMD)g Fj(\032)3562 2410 y Fl(0)3633 2446 y
21510 Fw(set.)0 2554 y(The)39 b Fj(!)j Fw(parton)c(distribution)f(is)h
21511 (assumed)h(the)g(same,)h(while)e(the)h Fj(\036)f Fw(and)g(J)p
21512 Fj(= )43 b Fw(ones)c(are)g(handled)0 2681 y(in)d(the)g(v)m(ery)i(crude)
21513 f(appro)m(ximation)d Fj(f)1489 2633 y Fh(\036)1478 2706
21514 y Fl(s)p Fh(;)p Fl(v)l(al)1652 2681 y Fw(=)g Fj(f)1821
21515 2645 y Fh(\031)1864 2621 y Ff(+)1810 2705 y Fl(u)p Fh(;)p
21516 Fl(v)l(al)1998 2681 y Fw(and)i Fj(f)2250 2645 y Fh(\036)2239
21517 2705 y Fl(sea)2372 2681 y Fw(=)e Fj(f)2541 2645 y Fh(\031)2584
21518 2621 y Ff(+)2530 2705 y Fl(sea)2638 2681 y Fw(.)55 b(therefore)37
21519 b(is)f(default.)54 b(The)0 2789 y(VMD)36 b(part)g(needs)i(to)e(b)s(e)g
21520 (complemen)m(ted)g(b)m(y)h(an)f(anomalous)e(part)i(to)g(mak)m(e)h(upp)f
21521 (a)g(full)e(photon)0 2897 y(distribution.)69 b(The)43
21522 b(latter)e(is)g(fully)g(p)s(erturbativ)m(ely)g(calculable,)i(giv)m(en)f
21523 (the)g(lo)m(w)m(er)g(cut-o\013)f(scale)0 3006 y Fj(Q)77
21524 3021 y Fl(0)117 3006 y Fw(.)h(The)32 b(SaS)e(parametrization)e(of)i
21525 (the)h(anomalous)d(part)i(is)g(therefore)h(used)h(throughout)e(for)g
21526 (this)0 3114 y(purp)s(ose.)44 b(The)34 b Fj(Q)682 3129
21527 y Fl(0)754 3114 y Fw(scale)f(can)f(b)s(e)h(set)h(freely)e(in)g(the)h
21528 Fq(PARP\(15\))i Fw(parameter.)146 3222 y(The)46 b Fj(f)418
21529 3175 y Fh(\015)t(;)p Fl(anom)407 3245 y Fh(i)695 3222
21530 y Fw(distribution)d(can)i(b)s(e)g(further)g(decomp)s(osed,)k(b)m(y)d
21531 (the)f(\015a)m(v)m(our)h(and)f(the)g Fj(p)3597 3237 y
21532 Fk(?)3701 3222 y Fw(of)0 3331 y(the)40 b(original)c(branc)m(hing)j
21533 Fj(\015)44 b Fn(!)38 b Fw(q)p 1277 3278 52 4 v(q)q(.)64
21534 b(The)40 b(\015a)m(v)m(our)g(is)f(distributed)g(according)f(to)h
21535 (squared)i(c)m(harge)0 3439 y(\(plus)32 b(\015a)m(v)m(our)h(thresholds)
21536 g(for)f(hea)m(vy)i(\015a)m(v)m(ours\))f(and)g(the)f Fj(p)2265
21537 3454 y Fk(?)2357 3439 y Fw(according)f(to)h(d)p Fj(p)3017
21538 3403 y Fl(2)3017 3464 y Fk(?)3076 3439 y Fj(=p)3174 3403
21539 y Fl(2)3174 3464 y Fk(?)3265 3439 y Fw(in)g(the)g(range)0
21540 3547 y Fj(Q)77 3562 y Fl(0)160 3547 y Fj(<)44 b(p)329
21541 3562 y Fk(?)431 3547 y Fj(<)g(Q)p Fw(.)71 b(A)m(t)43
21542 b(the)f(branc)m(hing)g(scale,)i(the)e(photon)g(only)g(consists)g(of)g
21543 (a)f(q)p 3159 3495 V(q)i(pair,)h(with)d Fj(x)0 3656 y
21544 Fw(distribution)34 b Fn(/)h Fj(x)702 3620 y Fl(2)766
21545 3656 y Fw(+)25 b(\(1)f Fn(\000)h Fj(x)p Fw(\))1173 3620
21546 y Fl(2)1213 3656 y Fw(.)54 b(A)37 b(comp)s(onen)m(t)f
21547 Fj(f)1965 3620 y Fh(\015)t(;)p Fl(q)p 2062 3581 38 4
21548 v(q)1954 3680 y Fh(a)2103 3656 y Fw(\()p Fj(x;)17 b(Q)2317
21549 3620 y Fl(2)2357 3656 y Fw(;)g Fj(k)2455 3620 y Fl(2)2494
21550 3656 y Fw(\),)37 b(c)m(haracterized)g(b)m(y)g(its)f Fj(k)h
21551 Fn(\031)e Fj(p)3721 3671 y Fk(?)0 3764 y Fw(and)40 b(\015a)m(v)m(our,)i
21552 (then)e(is)f(ev)m(olv)m(ed)i(homogeneously)e(from)g Fj(p)2212
21553 3779 y Fk(?)2310 3764 y Fw(to)g Fj(Q)p Fw(.)65 b(F)-8
21554 b(or)39 b(theoretical)f(studies)i(it)f(is)0 3872 y(con)m(v)m(enien)m(t)
21555 33 b(to)e(b)s(e)g(able)f(to)h(access)i(a)e(sp)s(eci\014c)h(comp)s(onen)
21556 m(t)f(of)f(this)h(kind.)43 b(Therefore)32 b(also)f(leading-)0
21557 3981 y(order)i(parametrizations)d(of)i(these)i(decomp)s(osed)f
21558 (distributions)e(are)i(a)m(v)-5 b(ailable)30 b([Sc)m(h95)q(].)0
21559 4229 y Fo(7.1.3)112 b(Leptons)0 4401 y Fw(Con)m(trary)40
21560 b(to)g(the)g(hadron)f(case,)k(there)d(is)f(no)h(necessit)m(y)h(to)e(in)
21561 m(tro)s(duce)h(the)g(parton-distribution)0 4510 y(function)g(concept)h
21562 (for)f(leptons.)67 b(A)41 b(lepton)f(can)h(b)s(e)f(considered)h(as)g(a)
21563 f(p)s(oin)m(t-lik)m(e)f(particle,)i(with)0 4618 y(initial-state)i
21564 (radiation)i(handled)i(b)m(y)g(higher-order)f(matrix)g(elemen)m(ts.)87
21565 b(Ho)m(w)m(ev)m(er,)52 b(the)c(parton)0 4726 y(distribution)27
21566 b(function)i(approac)m(h)h(o\013ers)f(a)g(sligh)m(tly)f(simpli\014ed)f
21567 (but)j(v)m(ery)h(economical)c(description)0 4835 y(of)41
21568 b(initial-state)c(radiation)i(e\013ects)k(for)e(an)m(y)h(hard)f(pro)s
21569 (cess,)k(also)c(those)h(for)e(whic)m(h)i(higher-order)0
21570 4943 y(corrections)33 b(are)f(not)h(y)m(et)g(calculated.)146
21571 5051 y(P)m(arton)40 b(distributions)f(for)g(electrons)h(ha)m(v)m(e)i(b)
21572 s(een)e(in)m(tro)s(duced)g(in)f Fm(Pythia)p Fw(,)j(but)e(not)g(y)m(et)h
21573 (for)0 5160 y(m)m(uons,)28 b(i.e.)41 b(curren)m(tly)28
21574 b Fj(f)966 5124 y Fh(\026)955 5184 y(\026)1012 5160 y
21575 Fw(\()p Fj(x;)17 b(Q)1226 5124 y Fl(2)1266 5160 y Fw(\))27
21576 b(=)h Fj(\016)t Fw(\()p Fj(x)10 b Fn(\000)g Fw(1\).)42
21577 b(Also)26 b(for)g(the)i(electron)e(one)h(is)f(free)i(to)e(use)i(a)e
21578 (simple)0 5284 y(`unresolv)m(ed')34 b(e,)f Fj(f)699 5248
21579 y Fl(e)688 5309 y(e)734 5284 y Fw(\()p Fj(x;)17 b(Q)948
21580 5248 y Fl(2)988 5284 y Fw(\))28 b(=)f Fj(\016)t Fw(\()p
21581 Fj(x)c Fn(\000)f Fw(1\),)33 b(where)g(the)g(e)g(retains)g(the)g(full)d
21582 (original)g(momen)m(tum.)146 5393 y(Electron)f(parton)g(distributions)e
21583 (are)i(calculable)e(en)m(tirely)i(from)e(\014rst)j(principles,)e(but)h
21584 (di\013eren)m(t)0 5501 y(lev)m(els)39 b(of)f(appro)m(ximation)f(ma)m(y)
21585 i(b)s(e)g(used.)64 b(The)40 b(parton-distribution)c(form)m(ulae)h(in)h
21586 Fm(Pythia)h Fw(are)0 5610 y(based)d(on)f(a)g(next-to-leading-order)e
21587 (exp)s(onen)m(tiated)j(description,)g(see)g(ref.)52 b([Kle89)o(],)36
21588 b(p.)52 b(34.)f(The)1841 5953 y(89)p eop
21589 %%Page: 90 96
21590 90 95 bop 0 -18 a Fw(appro)m(ximate)32 b(b)s(eha)m(viour)g(is)1380
21591 235 y Fj(f)1439 194 y Fl(e)1428 259 y(e)1474 235 y Fw(\()p
21592 Fj(x;)17 b(Q)1688 194 y Fl(2)1728 235 y Fw(\))28 b Fn(\031)1909
21593 167 y Fj(\014)p 1909 212 61 4 v 1915 303 a Fw(2)1979
21594 235 y(\(1)22 b Fn(\000)h Fj(x)p Fw(\))2281 194 y Fh(\014)s(=)p
21595 Fl(2)p Fk(\000)p Fl(1)2522 235 y Fw(;)1380 486 y Fj(\014)33
21596 b Fw(=)1582 418 y(2)p Fj(\013)1693 433 y Fl(em)p 1582
21597 463 206 4 v 1655 554 a Fj(\031)1814 340 y Fg( )1879 486
21598 y Fw(ln)1991 418 y Fj(Q)2068 382 y Fl(2)p 1987 463 125
21599 4 v 1987 554 a Fj(m)2072 525 y Fl(2)2072 579 y(e)2144
21600 486 y Fn(\000)23 b Fw(1)2293 340 y Fg(!)2407 486 y Fj(:)1172
21601 b Fw(\(50\))0 752 y(The)32 b(form)e(is)g(div)m(ergen)m(t)i(but)g(in)m
21602 (tegrable)e(for)g Fj(x)e Fn(!)g Fw(1,)j(i.e.)42 b(the)32
21603 b(electron)f(lik)m(es)g(to)f(k)m(eep)j(most)d(of)h(the)0
21604 860 y(energy)-8 b(.)47 b(T)-8 b(o)33 b(handle)g(the)h(n)m(umerical)e
21605 (precision)h(problems)f(for)h Fj(x)h Fw(v)m(ery)h(close)e(to)g(unit)m
21606 (y)-8 b(,)34 b(the)g(parton)0 969 y(distribution)25 b(is)h(set,)j(b)m
21607 (y)f(hand,)g(to)f(zero)g(for)f Fj(x)j(>)e Fw(0)p Fj(:)p
21608 Fw(999999,)g(and)g(is)f(rescaled)h(up)m(w)m(ards)i(in)d(the)h(range)0
21609 1077 y(0)p Fj(:)p Fw(9999)g Fj(<)g(x)h(<)g Fw(0)p Fj(:)p
21610 Fw(999999,)h(in)h(suc)m(h)h(a)f(w)m(a)m(y)i(that)e(the)g(total)f(area)h
21611 (under)h(the)g(parton)f(distribution)e(is)0 1185 y(preserv)m(ed:)479
21612 1493 y Fg(\020)529 1589 y Fj(f)588 1548 y Fl(e)577 1614
21613 y(e)623 1589 y Fw(\()p Fj(x;)17 b(Q)837 1548 y Fl(2)877
21614 1589 y Fw(\))915 1493 y Fg(\021)964 1643 y Fl(mo)r(d)1131
21615 1589 y Fw(=)1235 1315 y Fg(8)1235 1390 y(>)1235 1415
21616 y(>)1235 1440 y(>)1235 1465 y(>)1235 1489 y(<)1235 1639
21617 y(>)1235 1664 y(>)1235 1689 y(>)1235 1714 y(>)1235 1739
21618 y(:)1350 1381 y Fj(f)1409 1345 y Fl(e)1398 1406 y(e)1444
21619 1381 y Fw(\()p Fj(x;)g(Q)1658 1345 y Fl(2)1698 1381 y
21620 Fw(\))554 b(0)28 b Fn(\024)g Fj(x)g Fn(\024)g Fw(0)p
21621 Fj(:)p Fw(9999)1445 1552 y(100)1592 1511 y Fh(\014)s(=)p
21622 Fl(2)p 1360 1568 435 4 v 1360 1662 a Fw(100)1507 1621
21623 y Fh(\014)s(=)p Fl(2)1646 1662 y Fn(\000)23 b Fw(1)1821
21624 1591 y Fj(f)1880 1555 y Fl(e)1869 1616 y(e)1915 1591
21625 y Fw(\()p Fj(x;)17 b(Q)2129 1555 y Fl(2)2169 1591 y Fw(\))83
21626 b(0)p Fj(:)p Fw(9999)27 b Fj(<)g(x)h Fn(\024)h Fw(0)p
21627 Fj(:)p Fw(999999)1350 1794 y(0)891 b Fj(x)28 b(>)g Fw(0)p
21628 Fj(:)p Fw(999999)47 b Fj(:)3606 1589 y Fw(\(51\))146
21629 1993 y(The)h(branc)m(hings)f(e)52 b Fn(!)f Fw(e)p Fj(\015)5
21630 b Fw(,)51 b(whic)m(h)c(are)g(resp)s(onsible)f(for)g(the)h(softening)g
21631 (of)f(the)h Fj(f)3416 1957 y Fl(e)3405 2017 y(e)3498
21632 1993 y Fw(parton)0 2101 y(distribution,)26 b(also)h(giv)m(es)g(rise)g
21633 (to)g(a)g(\015o)m(w)h(of)f(photons.)42 b(In)28 b(photon-induced)f(hard)
21634 g(pro)s(cesses,)k(the)c Fj(f)3744 2065 y Fl(e)3733 2126
21635 y Fh(\015)0 2210 y Fw(parton)34 b(distribution)e(can)j(b)s(e)f(used)h
21636 (to)f(describ)s(e)h(the)g(equiv)-5 b(alen)m(t)34 b(\015o)m(w)h(of)e
21637 (photons.)49 b(The)35 b(form)m(ula)0 2318 y(used)g(in)e(the)h(program)f
21638 (is)g(the)h(simple)e(\014rst-order)i(expression.)49 b(There)35
21639 b(is)e(some)h(am)m(biguit)m(y)e(in)h(the)0 2426 y(c)m(hoice)d(of)f
21640 Fj(Q)472 2390 y Fl(2)542 2426 y Fw(range)g(o)m(v)m(er)i(whic)m(h)f
21641 (emissions)f(should)h(b)s(e)f(included.)43 b(The)30 b(na)-11
21642 b(\177)-38 b(\020v)m(e)30 b(\(default\))f(c)m(hoice)h(is)1028
21643 2698 y Fj(f)1087 2657 y Fl(e)1076 2723 y Fh(\015)1122
21644 2698 y Fw(\()p Fj(x;)17 b(Q)1336 2657 y Fl(2)1376 2698
21645 y Fw(\))28 b(=)1555 2631 y Fj(\013)1617 2646 y Fl(em)p
21646 1555 2675 157 4 v 1579 2766 a Fw(2)p Fj(\031)1748 2631
21647 y Fw(1)22 b(+)g(\(1)g Fn(\000)g Fj(x)p Fw(\))2218 2594
21648 y Fl(2)p 1748 2675 511 4 v 1975 2766 a Fj(x)2301 2698
21649 y Fw(ln)2399 2552 y Fg( )2479 2631 y Fj(Q)2556 2594 y
21650 Fl(2)p 2475 2675 125 4 v 2475 2766 a Fj(m)2560 2738 y
21651 Fl(2)2560 2791 y(e)2610 2552 y Fg(!)2724 2698 y Fj(:)855
21652 b Fw(\(52\))0 2964 y(Here)49 b(it)e(is)h(assumed)h(that)f(only)g(one)h
21653 (scale)f(en)m(ters)i(the)f(problem,)i(namely)d(that)g(of)g(the)g(hard)0
21654 3072 y(in)m(teraction,)40 b(and)g(that)f(the)h(scale)g(of)f(the)h
21655 (branc)m(hing)f(e)h Fn(!)g Fw(e)p Fj(\015)k Fw(is)c(b)s(ounded)g(from)e
21656 (ab)s(o)m(v)m(e)j(b)m(y)f(the)0 3181 y(hard)47 b(in)m(teraction)f
21657 (scale.)87 b(F)-8 b(or)46 b(a)g(pure)i(QCD)f(or)f(pure)i(QED)f(sho)m(w)
21658 m(er)h(this)f(is)f(an)h(appropriate)0 3289 y(pro)s(cedure,)34
21659 b(cf.)44 b(section)33 b(10.1.3,)f(but)h(in)f(other)h(cases)h(it)e(ma)m
21660 (y)g(not)h(b)s(e)g(optimal.)41 b(In)33 b(particular,)e(for)0
21661 3398 y(photopro)s(duction)h(the)h(alternativ)m(e)f(that)g(is)g
21662 (probably)g(most)g(appropriate)g(is)g([Ali88)n(]:)833
21663 3669 y Fj(f)892 3628 y Fl(e)881 3694 y Fh(\015)927 3669
21664 y Fw(\()p Fj(x;)17 b(Q)1141 3628 y Fl(2)1181 3669 y Fw(\))28
21665 b(=)1360 3602 y Fj(\013)1422 3617 y Fl(em)p 1360 3646
21666 157 4 v 1384 3738 a Fw(2)p Fj(\031)1553 3602 y Fw(1)22
21667 b(+)g(\(1)g Fn(\000)g Fj(x)p Fw(\))2023 3566 y Fl(2)p
21668 1553 3646 511 4 v 1780 3738 a Fj(x)2106 3669 y Fw(ln)2204
21669 3523 y Fg( )2280 3602 y Fj(Q)2357 3566 y Fl(2)2357 3626
21670 y(max)2493 3602 y Fw(\(1)g Fn(\000)g Fj(x)p Fw(\))p 2280
21671 3646 515 4 v 2419 3738 a Fj(m)2504 3709 y Fl(2)2504 3762
21672 y(e)2561 3738 y Fj(x)2616 3709 y Fl(2)2805 3523 y Fg(!)2919
21673 3669 y Fj(:)660 b Fw(\(53\))0 3945 y(Here)46 b Fj(Q)320
21674 3909 y Fl(2)320 3970 y(max)500 3945 y Fw(is)e(a)h(user-de\014ned)i(cut)
21675 e(for)f(the)h(range)g(of)g(scattered)h(electron)f(kinematics)e(that)i
21676 (is)0 4054 y(coun)m(ted)d(as)g(photopro)s(duction.)68
21677 b(Note)41 b(that)g(w)m(e)h(no)m(w)g(deal)f(with)f(t)m(w)m(o)i
21678 (di\013eren)m(t)g Fj(Q)3243 4017 y Fl(2)3323 4054 y Fw(scales,)i(one)0
21679 4162 y(related)38 b(to)g(the)g(hard)g(subpro)s(cess)j(itself,)d(whic)m
21680 (h)h(app)s(ears)f(as)h(the)f(argumen)m(t)g(of)g(the)g(parton)g(dis-)0
21681 4270 y(tribution,)43 b(and)g(the)f(other)h(related)f(to)g(the)h
21682 (scattering)f(of)g(the)h(electron,)h(whic)m(h)f(is)f(re\015ected)i(in)0
21683 4379 y Fj(Q)77 4342 y Fl(2)77 4403 y(max)213 4379 y Fw(.)146
21684 4487 y(In)29 b(resolv)m(ed)f(photopro)s(duction)f(or)h(resolv)m(ed)h
21685 Fj(\015)5 b(\015)33 b Fw(in)m(teractions,)28 b(one)g(has)g(to)g
21686 (include)f(the)i(parton)0 4595 y(distributions)36 b(for)h(quarks)j(and)
21687 d(gluons)h(inside)f(the)h(photon)g(inside)f(the)h(electron.)59
21688 b(There)39 b(are)f(no)0 4704 y(published)33 b(sets)i(where)g(results)f
21689 (are)f(directly)g(presen)m(ted)j(in)c(terms)i(of)f(quark)h(and)f(gluon)
21690 g(distribu-)0 4812 y(tions)h(inside)g(the)h(electron.)49
21691 b(In)35 b(the)g(program,)f(the)h Fj(f)2045 4776 y Fl(e)2034
21692 4837 y(q)p Fh(;)p Fl(g)2166 4812 y Fw(are)f(therefore)h(obtained)f(b)m
21693 (y)i(a)e(n)m(umerical)0 4920 y(con)m(v)m(olution)e(according)g(to)902
21694 5186 y Fj(f)961 5145 y Fl(e)950 5211 y(q)p Fh(;)p Fl(g)1048
21695 5186 y Fw(\()p Fj(x;)17 b(Q)1262 5145 y Fl(2)1302 5186
21696 y Fw(\))27 b(=)1471 5069 y Fg(Z)1554 5096 y Fl(1)1517
21697 5258 y Fh(x)1620 5119 y Fj(dx)1726 5134 y Fh(\015)p 1620
21698 5163 151 4 v 1645 5255 a Fj(x)1700 5270 y Fh(\015)1797
21699 5186 y Fj(f)1856 5145 y Fl(e)1845 5211 y Fh(\015)1891
21700 5186 y Fw(\()p Fj(x)1984 5201 y Fh(\015)2029 5186 y Fj(;)17
21701 b(Q)2150 5145 y Fl(2)2189 5186 y Fw(\))g Fj(f)2303 5145
21702 y Fh(\015)2292 5211 y Fl(q)p Fh(;)p Fl(g)2389 5040 y
21703 Fg( )2487 5119 y Fj(x)p 2465 5163 100 4 v 2465 5255 a(x)2520
21704 5270 y Fh(\015)2575 5186 y Fj(;)g(Q)2696 5145 y Fl(2)2735
21705 5040 y Fg(!)2850 5186 y Fj(;)729 b Fw(\(54\))0 5453 y(with)38
21706 b Fj(f)287 5416 y Fl(e)276 5477 y Fh(\015)360 5453 y
21707 Fw(as)h(discussed)h(ab)s(o)m(v)m(e.)61 b(The)39 b(necessit)m(y)i(for)c
21708 (n)m(umerical)g(con)m(v)m(olution)h(mak)m(es)h(this)f(parton)0
21709 5561 y(distribution)c(ev)-5 b(aluation)34 b(rather)i(slo)m(w)g
21710 (compared)g(with)f(the)h(others;)j(one)d(should)g(therefore)g(only)0
21711 5669 y(ha)m(v)m(e)e(it)d(switc)m(hed)j(on)f(for)f(resolv)m(ed)h
21712 (photopro)s(duction)f(studies.)1841 5953 y(90)p eop
21713 %%Page: 91 97
21714 91 96 bop 146 -18 a Fw(One)32 b(can)f(obtain)e(the)j(p)s(ositron)e
21715 (distribution)e(inside)j(an)f(electron,)i(whic)m(h)f(is)f(also)g(the)i
21716 (electron)0 90 y(sea)38 b(parton)f(distribution,)f(b)m(y)i(a)f(con)m(v)
21717 m(olution)f(of)h(the)g(t)m(w)m(o)h(branc)m(hings)g(e)e
21718 Fn(!)f Fw(e)p Fj(\015)42 b Fw(and)37 b Fj(\015)k Fn(!)35
21719 b Fw(e)3591 54 y Fl(+)3650 90 y Fw(e)3693 54 y Fk(\000)3752
21720 90 y Fw(;)0 198 y(the)e(result)g(is)f([Che75])201 497
21721 y Fj(f)260 456 y Fl(e)291 432 y Fd(\000)249 522 y Fl(e)280
21722 503 y Ff(+)347 497 y Fw(\()p Fj(x;)17 b(Q)561 456 y Fl(2)601
21723 497 y Fw(\))28 b(=)780 430 y(1)p 780 474 49 4 v 780 565
21724 a(2)872 351 y Fg(\()949 430 y Fj(\013)1011 445 y Fl(em)p
21725 949 474 157 4 v 973 565 a Fw(2)p Fj(\031)1149 351 y Fg( )1214
21726 497 y Fw(ln)1326 430 y Fj(Q)1403 393 y Fl(2)p 1322 474
21727 125 4 v 1322 565 a Fj(m)1407 537 y Fl(2)1407 590 y(e)1479
21728 497 y Fn(\000)23 b Fw(1)1628 351 y Fg(!)o(\))1760 374
21729 y Fl(2)1846 430 y Fw(1)p 1843 474 56 4 v 1843 565 a Fj(x)1941
21730 376 y Fg(\022)2012 430 y Fw(4)p 2012 474 49 4 v 2012
21731 565 a(3)2093 497 y Fn(\000)g Fj(x)2248 456 y Fl(2)2310
21732 497 y Fn(\000)2420 430 y Fw(4)p 2420 474 V 2420 565 a(3)2478
21733 497 y Fj(x)2533 456 y Fl(3)2595 497 y Fw(+)f(2)p Fj(x)p
21734 Fw(\(1)g(+)g Fj(x)p Fw(\))17 b(ln)f Fj(x)3267 376 y Fg(\023)3378
21735 497 y Fj(:)201 b Fw(\(55\))146 781 y(Finally)-8 b(,)30
21736 b(the)j(program)e(also)g(con)m(tains)h(the)h(distribution)e(of)g(a)i
21737 (transv)m(erse)h(W)3086 745 y Fk(\000)3178 781 y Fw(inside)e(an)g
21738 (elec-)0 889 y(tron)715 1047 y Fj(f)774 1006 y Fl(e)763
21739 1072 y(W)841 1047 y Fw(\()p Fj(x;)17 b(Q)1055 1006 y
21740 Fl(2)1095 1047 y Fw(\))27 b(=)1274 980 y Fj(\013)1336
21741 995 y Fl(em)p 1274 1024 157 4 v 1298 1115 a Fw(2)p Fj(\031)1617
21742 980 y Fw(1)p 1467 1024 351 4 v 1467 1116 a(4)17 b(sin)1652
21743 1076 y Fl(2)1691 1116 y Fj(\022)1736 1131 y Fh(W)1854
21744 980 y Fw(1)22 b(+)g(\(1)f Fn(\000)i Fj(x)p Fw(\))2324
21745 943 y Fl(2)p 1854 1024 511 4 v 2081 1115 a Fj(x)2407
21746 1047 y Fw(ln)2505 901 y Fg( )2571 1047 y Fw(1)f(+)2773
21747 980 y Fj(Q)2850 943 y Fl(2)p 2750 1024 163 4 v 2750 1115
21748 a Fj(m)2835 1081 y Fl(2)2835 1140 y(W)2922 901 y Fg(!)3037
21749 1047 y Fj(:)542 b Fw(\(56\))0 1377 y Fp(7.2)135 b(Kinematics)47
21750 b(and)e(Cross)g(section)g(for)h(a)f Fs(2)32 b Fc(!)h
21751 Fs(2)45 b Fp(Pro)t(cess)0 1550 y Fw(In)33 b(this)e(section)i(w)m(e)g(b)
21752 s(egin)e(the)i(description)f(of)f(kinematics)g(selection)h(and)h
21753 (cross-section)f(calcula-)0 1658 y(tion.)45 b(The)34
21754 b(example)f(is)g(for)f(the)i(case)g(of)f(a)g(2)c Fn(!)f
21755 Fw(2)33 b(pro)s(cess,)i(with)e(\014nal-state)g(masses)h(assumed)g(to)0
21756 1767 y(b)s(e)f(v)-5 b(anishing.)42 b(Later)33 b(on)f(w)m(e)i(will)c
21757 (expand)k(to)e(\014nite)g(\014xed)i(masses,)f(and)g(to)f(resonances.)
21758 146 1875 y(Consider)39 b(t)m(w)m(o)g(incoming)c(b)s(eam)j(particles)f
21759 (in)g(their)h(c.m.)59 b(frame,)39 b(eac)m(h)g(with)e(energy)i
21760 Fj(E)3581 1890 y Fl(b)r(eam)3752 1875 y Fw(.)0 1983 y(The)46
21761 b(total)e(squared)j(c.m.)81 b(energy)47 b(is)e(then)h
21762 Fj(s)j Fw(=)g(4)p Fj(E)2111 1947 y Fl(2)2105 2008 y(b)r(eam)2276
21763 1983 y Fw(.)82 b(The)46 b(t)m(w)m(o)g(partons)g(that)f(en)m(ter)h(the)0
21764 2092 y(hard)37 b(in)m(teraction)f(do)i(not)f(carry)g(the)h(total)e(b)s
21765 (eam)g(momen)m(tum,)h(but)h(only)f(fractions)f Fj(x)3386
21766 2107 y Fl(1)3463 2092 y Fw(and)i Fj(x)3713 2107 y Fl(2)3752
21767 2092 y Fw(,)0 2200 y(resp)s(ectiv)m(ely)-8 b(,)34 b(i.e.)43
21768 b(they)33 b(ha)m(v)m(e)h(four-momen)m(ta)1287 2408 y
21769 Fj(p)1336 2423 y Fl(1)1459 2408 y Fw(=)83 b Fj(E)1690
21770 2423 y Fl(b)r(eam)1861 2408 y Fw(\()p Fj(x)1954 2423
21771 y Fl(1)1994 2408 y Fw(;)17 b(0)p Fj(;)g Fw(0)p Fj(;)g(x)2279
21772 2423 y Fl(1)2317 2408 y Fw(\))33 b Fj(;)1287 2541 y(p)1336
21773 2556 y Fl(2)1459 2541 y Fw(=)83 b Fj(E)1690 2556 y Fl(b)r(eam)1861
21774 2541 y Fw(\()p Fj(x)1954 2556 y Fl(2)1994 2541 y Fw(;)17
21775 b(0)p Fj(;)g Fw(0)p Fj(;)g Fn(\000)p Fj(x)2356 2556 y
21776 Fl(2)2395 2541 y Fw(\))32 b Fj(:)1114 b Fw(\(57\))0 2749
21777 y(There)37 b(is)d(no)i(reason)f(to)g(put)h(the)g(incoming)d(partons)i
21778 (on)h(the)f(mass)h(shell,)f(i.e.)51 b(to)35 b(ha)m(v)m(e)i(time-lik)m
21779 (e)0 2858 y(incoming)d(four-v)m(ectors,)j(since)g(partons)f(inside)f(a)
21780 h(particle)f(are)h(alw)m(a)m(ys)g(virtual)f(and)h(th)m(us)h(space-)0
21781 2966 y(lik)m(e.)42 b(These)31 b(space-lik)m(e)e(virtualities)e(are)i
21782 (in)m(tro)s(duced)h(as)f(part)g(of)g(the)h(initial-state)25
21783 b(parton-sho)m(w)m(er)0 3074 y(description,)38 b(see)h(section)e
21784 (10.3.3,)h(but)f(do)g(not)h(a\013ect)f(the)h(formalism)c(of)i(this)h
21785 (section.)58 b(The)38 b(one)0 3183 y(example)23 b(where)i(it)e(w)m
21786 (ould)g(b)s(e)h(appropriate)f(to)g(put)h(a)f(parton)h(on)f(the)h(mass)g
21787 (shell)f(is)g(for)g(an)h(incoming)0 3291 y(lepton)k(b)s(eam,)g(but)h
21788 (ev)m(en)h(here)f(the)f(massless)h(kinematics)e(description)h(is)g
21789 (adequate)h(as)g(long)e(as)h(the)0 3399 y(c.m.)43 b(energy)34
21790 b(is)e(correctly)h(calculated)e(with)i(masses.)146 3508
21791 y(The)h(squared)g(in)m(v)-5 b(arian)m(t)31 b(mass)h(of)h(the)g(t)m(w)m
21792 (o)g(partons)g(is)f(de\014ned)i(as)1369 3716 y(^)-53
21793 b Fj(s)28 b Fw(=)f(\()p Fj(p)1629 3731 y Fl(1)1691 3716
21794 y Fw(+)22 b Fj(p)1838 3731 y Fl(2)1877 3716 y Fw(\))1915
21795 3674 y Fl(2)1982 3716 y Fw(=)28 b Fj(x)2141 3731 y Fl(1)2197
21796 3716 y Fj(x)2252 3731 y Fl(2)2309 3716 y Fj(s)k(:)1192
21797 b Fw(\(58\))0 3924 y(Instead)34 b(of)e Fj(x)511 3939
21798 y Fl(1)583 3924 y Fw(and)h Fj(x)828 3939 y Fl(2)868 3924
21799 y Fw(,)f(it)g(is)g(often)h(customary)f(to)g(use)i Fj(\034)44
21800 b Fw(and)33 b(either)f Fj(y)k Fw(or)c Fj(x)2942 3939
21801 y Fl(F)2993 3924 y Fw(:)1537 4187 y Fj(\034)94 b Fw(=)83
21802 b Fj(x)1887 4202 y Fl(1)1927 4187 y Fj(x)1982 4202 y
21803 Fl(2)2049 4187 y Fw(=)2167 4120 y(^)-53 b Fj(s)p 2163
21804 4164 46 4 v 2163 4256 a(s)2251 4187 y Fw(;)1328 b(\(59\))1539
21805 4421 y Fj(y)86 b Fw(=)1842 4353 y(1)p 1842 4397 49 4
21806 v 1842 4489 a(2)1917 4421 y(ln)2025 4353 y Fj(x)2080
21807 4368 y Fl(1)p 2025 4397 95 4 v 2025 4489 a Fj(x)2080
21808 4504 y Fl(2)2163 4421 y Fw(;)1416 b(\(60\))1484 4612
21809 y Fj(x)1539 4627 y Fl(F)1673 4612 y Fw(=)83 b Fj(x)1887
21810 4627 y Fl(1)1949 4612 y Fn(\000)23 b Fj(x)2104 4627 y
21811 Fl(2)2176 4612 y Fj(:)1403 b Fw(\(61\))146 4820 y(In)25
21812 b(addition)d(to)h Fj(x)801 4835 y Fl(1)865 4820 y Fw(and)h
21813 Fj(x)1101 4835 y Fl(2)1141 4820 y Fw(,)i(t)m(w)m(o)f(additional)c(v)-5
21814 b(ariables)22 b(are)i(needed)i(to)d(describ)s(e)i(the)f(kinematics)0
21815 4928 y(of)30 b(a)f(scattering)h(1)17 b(+)f(2)28 b Fn(!)f
21816 Fw(3)17 b(+)g(4.)42 b(One)30 b(corresp)s(onds)i(to)d(the)i(azim)m
21817 (uthal)d(angle)h Fj(')h Fw(of)f(the)i(scattering)0 5036
21818 y(plane)c(around)g(the)h(b)s(eam)e(axis.)42 b(This)27
21819 b(angle)f(is)h(alw)m(a)m(ys)h(isotropically)c(distributed)j(for)g(unp)s
21820 (olarized)0 5145 y(incoming)32 b(b)s(eam)i(particles,)g(and)g(so)h
21821 (need)g(not)g(b)s(e)f(considered)h(further.)50 b(The)35
21822 b(other)g(v)-5 b(ariable)32 b(can)0 5268 y(b)s(e)h(pic)m(k)m(ed)g(as)
21823 560 5242 y(^)553 5268 y Fj(\022)s Fw(,)f(the)h(p)s(olar)e(angle)g(of)h
21824 (parton)g(3)g(in)g(the)h(c.m.)43 b(frame)31 b(of)h(the)h(hard)f
21825 (scattering.)44 b(The)0 5376 y(con)m(v)m(en)m(tional)33
21826 b(c)m(hoice)g(is)f(to)g(use)h(the)g(v)-5 b(ariable)939
21827 5602 y(^)938 5621 y Fj(t)28 b Fw(=)f(\()p Fj(p)1191 5636
21828 y Fl(1)1253 5621 y Fn(\000)22 b Fj(p)1401 5636 y Fl(3)1441
21829 5621 y Fw(\))1479 5580 y Fl(2)1546 5621 y Fw(=)27 b(\()p
21830 Fj(p)1736 5636 y Fl(2)1798 5621 y Fn(\000)22 b Fj(p)1946
21831 5636 y Fl(4)1986 5621 y Fw(\))2024 5580 y Fl(2)2091 5621
21832 y Fw(=)27 b Fn(\000)2286 5553 y Fw(^)-53 b Fj(s)p 2281
21833 5598 49 4 v 2281 5689 a Fw(2)2340 5621 y(\(1)22 b Fn(\000)h
21834 Fw(cos)2704 5594 y(^)2696 5621 y Fj(\022)s Fw(\))33 b
21835 Fj(;)764 b Fw(\(62\))1841 5953 y(91)p eop
21836 %%Page: 92 98
21837 92 97 bop 0 -18 a Fw(with)236 -45 y(^)228 -18 y Fj(\022)42
21838 b Fw(de\014ned)e(as)f(ab)s(o)m(v)m(e.)63 b(In)39 b(the)g(follo)m(wing,)
21839 f(w)m(e)h(will)e(mak)m(e)h(use)i(of)e(b)s(oth)2995 -37
21840 y(^)2994 -18 y Fj(t)h Fw(and)3271 -45 y(^)3263 -18 y
21841 Fj(\022)t Fw(.)61 b(It)39 b(is)f(also)0 90 y(customary)33
21842 b(to)f(de\014ne)40 b(^)-55 b Fj(u)o Fw(,)934 310 y(^)g
21843 Fj(u)28 b Fw(=)f(\()p Fj(p)1202 325 y Fl(1)1264 310 y
21844 Fn(\000)22 b Fj(p)1412 325 y Fl(4)1452 310 y Fw(\))1490
21845 268 y Fl(2)1557 310 y Fw(=)27 b(\()p Fj(p)1747 325 y
21846 Fl(2)1809 310 y Fn(\000)22 b Fj(p)1957 325 y Fl(3)1997
21847 310 y Fw(\))2035 268 y Fl(2)2102 310 y Fw(=)27 b Fn(\000)2297
21848 242 y Fw(^)-53 b Fj(s)p 2292 286 49 4 v 2292 378 a Fw(2)2351
21849 310 y(\(1)22 b(+)g(cos)2713 283 y(^)2705 310 y Fj(\022)t
21850 Fw(\))32 b Fj(;)755 b Fw(\(63\))0 511 y(but)39 b(^)-55
21851 b Fj(u)32 b Fw(is)g(not)g(an)h(indep)s(enden)m(t)h(v)-5
21852 b(ariable)30 b(since)1585 675 y(^)-53 b Fj(s)23 b Fw(+)1749
21853 656 y(^)1748 675 y Fj(t)f Fw(+)28 b(^)-55 b Fj(u)27 b
21854 Fw(=)h(0)k Fj(:)1408 b Fw(\(64\))146 838 y(If)45 b(the)h(t)m(w)m(o)g
21855 (outgoing)e(particles)g(ha)m(v)m(e)i(masses)g Fj(m)2107
21856 853 y Fl(3)2192 838 y Fw(and)f Fj(m)2479 853 y Fl(4)2519
21857 838 y Fw(,)k(resp)s(ectiv)m(ely)-8 b(,)49 b(then)d(the)f(four-)0
21858 947 y(momen)m(ta)31 b(in)h(the)h(c.m.)43 b(frame)32 b(of)g(the)h(hard)g
21859 (in)m(teraction)e(are)i(giv)m(en)g(b)m(y)670 1190 y(^)-57
21860 b Fj(p)711 1205 y Fl(3)p Fh(;)p Fl(4)833 1190 y Fw(=)936
21861 1044 y Fg( )1016 1122 y Fw(^)k Fj(s)22 b Fn(\006)h Fw(\()p
21862 Fj(m)1303 1086 y Fl(2)1303 1147 y(3)1365 1122 y Fn(\000)f
21863 Fj(m)1549 1086 y Fl(2)1549 1147 y(4)1589 1122 y Fw(\))p
21864 1012 1167 615 4 v 1231 1269 a(2)1280 1184 y Fn(p)p 1363
21865 1184 46 4 v 1367 1269 a Fw(^)-53 b Fj(s)1637 1190 y(;)17
21866 b Fn(\006)1768 1038 y(p)p 1851 1038 V 1855 1122 a Fw(^)-53
21867 b Fj(s)p 1768 1167 129 4 v 1808 1258 a Fw(2)1924 1190
21868 y Fj(\014)1979 1205 y Fl(34)2070 1190 y Fw(sin)2214 1164
21869 y(^)2206 1190 y Fj(\022)t(;)17 b Fw(0)p Fj(;)g Fn(\006)2479
21870 1038 y(p)p 2561 1038 46 4 v 2565 1122 a Fw(^)-53 b Fj(s)p
21871 2479 1167 129 4 v 2518 1258 a Fw(2)2634 1190 y Fj(\014)2689
21872 1205 y Fl(34)2780 1190 y Fw(cos)2935 1164 y(^)2927 1190
21873 y Fj(\022)2976 1044 y Fg(!)3090 1190 y Fj(;)489 b Fw(\(65\))0
21874 1422 y(where)1063 1625 y Fj(\014)1118 1640 y Fl(34)1220
21875 1625 y Fw(=)1324 1437 y Fg(v)1324 1484 y(u)1324 1534
21876 y(u)1324 1583 y(t)p 1411 1437 1246 4 v 1411 1479 a( )1477
21877 1625 y Fw(1)22 b Fn(\000)1658 1558 y Fj(m)1743 1524 y
21878 Fl(2)1743 1580 y(3)p 1658 1602 125 4 v 1701 1694 a Fw(^)-53
21879 b Fj(s)1815 1625 y Fn(\000)1924 1558 y Fj(m)2009 1524
21880 y Fl(2)2009 1580 y(4)p 1924 1602 V 1968 1694 a Fw(^)g
21881 Fj(s)2059 1479 y Fg(!)2125 1502 y Fl(2)2186 1625 y Fn(\000)23
21882 b Fw(4)2361 1558 y Fj(m)2446 1524 y Fl(2)2446 1580 y(3)p
21883 2361 1602 V 2405 1694 a Fw(^)-53 b Fj(s)2522 1558 y(m)2607
21884 1524 y Fl(2)2607 1580 y(4)p 2522 1602 V 2566 1694 a Fw(^)g
21885 Fj(s)2690 1625 y(:)889 b Fw(\(66\))0 1864 y(Then)256
21886 1845 y(^)255 1864 y Fj(t)32 b Fw(and)39 b(^)-55 b Fj(u)32
21887 b Fw(are)h(mo)s(di\014ed)e(to)1013 2041 y(^)1012 2059
21888 y Fj(t;)23 b Fw(^)-55 b Fj(u)27 b Fw(=)g Fn(\000)1364
21889 1992 y Fw(1)p 1364 2036 49 4 v 1364 2127 a(2)1440 1963
21890 y Fg(n)1495 2059 y Fw(\()t(^)-53 b Fj(s)22 b Fn(\000)h
21891 Fj(m)1786 2018 y Fl(2)1786 2084 y(3)1848 2059 y Fn(\000)g
21892 Fj(m)2033 2018 y Fl(2)2033 2084 y(4)2072 2059 y Fw(\))f
21893 Fn(\007)27 b Fw(^)-53 b Fj(s)17 b(\014)2350 2074 y Fl(34)2441
21894 2059 y Fw(cos)2596 2033 y(^)2588 2059 y Fj(\022)2636
21895 1963 y Fg(o)2741 2059 y Fj(;)838 b Fw(\(67\))0 2260 y(with)1425
21896 2369 y(^)-53 b Fj(s)22 b Fw(+)1588 2350 y(^)1587 2369
21897 y Fj(t)g Fw(+)29 b(^)-56 b Fj(u)28 b Fw(=)f Fj(m)2014
21898 2328 y Fl(2)2014 2393 y(3)2076 2369 y Fw(+)22 b Fj(m)2259
21899 2328 y Fl(2)2259 2393 y(4)2331 2369 y Fj(:)1248 b Fw(\(68\))146
21900 2512 y(The)34 b(cross)f(section)g(for)f(the)h(pro)s(cess)h(1)22
21901 b(+)g(2)27 b Fn(!)h Fw(3)22 b(+)g(4)32 b(ma)m(y)g(b)s(e)h(written)f(as)
21902 777 2732 y Fj(\033)87 b Fw(=)1078 2615 y Fg(Z)54 b(Z)f(Z)1377
21903 2732 y Fw(d)p Fj(x)1486 2747 y Fl(1)1543 2732 y Fw(d)p
21904 Fj(x)1652 2747 y Fl(2)1708 2732 y Fw(d)1763 2713 y(^)1762
21905 2732 y Fj(t)17 b(f)1862 2747 y Fl(1)1902 2732 y Fw(\()p
21906 Fj(x)1995 2747 y Fl(1)2035 2732 y Fj(;)g(Q)2156 2691
21907 y Fl(2)2195 2732 y Fw(\))g Fj(f)2298 2747 y Fl(2)2337
21908 2732 y Fw(\()p Fj(x)2430 2747 y Fl(2)2470 2732 y Fj(;)g(Q)2591
21909 2691 y Fl(2)2630 2732 y Fw(\))2695 2664 y(d)5 b(^)-54
21910 b Fj(\033)p 2695 2709 114 4 v 2707 2806 a Fw(d)2762 2788
21911 y(^)2761 2806 y Fj(t)919 2976 y Fw(=)1078 2859 y Fg(Z)54
21912 b(Z)f(Z)1387 2909 y Fw(d)p Fj(\034)p 1387 2953 108 4
21913 v 1414 3044 a(\034)1521 2976 y Fw(d)p Fj(y)20 b Fw(d)1698
21914 2958 y(^)1697 2976 y Fj(t)d(x)1804 2991 y Fl(1)1844 2976
21915 y Fj(f)1892 2991 y Fl(1)1932 2976 y Fw(\()p Fj(x)2025
21916 2991 y Fl(1)2064 2976 y Fj(;)g(Q)2185 2935 y Fl(2)2225
21917 2976 y Fw(\))g Fj(x)2335 2991 y Fl(2)2374 2976 y Fj(f)2422
21918 2991 y Fl(2)2462 2976 y Fw(\()p Fj(x)2555 2991 y Fl(2)2595
21919 2976 y Fj(;)g(Q)2716 2935 y Fl(2)2755 2976 y Fw(\))2819
21920 2909 y(d)5 b(^)-54 b Fj(\033)p 2819 2953 114 4 v 2831
21921 3050 a Fw(d)2886 3032 y(^)2885 3050 y Fj(t)2975 2976
21922 y(:)604 b Fw(\(69\))146 3193 y(The)48 b(c)m(hoice)f(of)g
21923 Fj(Q)868 3157 y Fl(2)954 3193 y Fw(scale)g(is)f(am)m(biguous,)k(and)d
21924 (sev)m(eral)g(alternativ)m(es)g(are)g(a)m(v)-5 b(ailable)44
21925 b(in)i(the)0 3301 y(program.)40 b(F)-8 b(or)25 b(massless)i(outgoing)d
21926 (particles)i(the)g(default)g(is)f(the)i(squared)h(transv)m(erse)g
21927 (momen)m(tum)1341 3539 y Fj(Q)1418 3498 y Fl(2)1485 3539
21928 y Fw(=)36 b(^)-57 b Fj(p)1638 3498 y Fl(2)1638 3564 y
21929 Fk(?)1724 3539 y Fw(=)1843 3472 y(^)k Fj(s)p 1838 3516
21930 49 4 v 1838 3608 a Fw(4)1913 3539 y(sin)2033 3498 y Fl(2)2097
21931 3513 y Fw(^)2089 3539 y Fj(\022)31 b Fw(=)2280 3454 y(^)2278
21932 3472 y Fj(t)7 b Fw(^)-55 b Fj(u)p 2278 3516 91 4 v 2305
21933 3608 a Fw(^)i Fj(s)2412 3539 y(;)1167 b Fw(\(70\))0 3741
21934 y(whic)m(h)33 b(is)f(mo)s(di\014ed)g(to)393 3959 y Fj(Q)470
21935 3918 y Fl(2)538 3959 y Fw(=)651 3892 y(1)p 651 3936 49
21936 4 v 651 4028 a(2)710 3959 y(\()p Fj(m)833 3918 y Fl(2)833
21937 3984 y Fk(?)p Fl(3)950 3959 y Fw(+)22 b Fj(m)1133 3918
21938 y Fl(2)1133 3984 y Fk(?)p Fl(4)1227 3959 y Fw(\))28 b(=)1406
21939 3892 y(1)p 1406 3936 V 1406 4028 a(2)1465 3959 y(\()p
21940 Fj(m)1588 3918 y Fl(2)1588 3984 y(3)1650 3959 y Fw(+)22
21941 b Fj(m)1833 3918 y Fl(2)1833 3984 y(4)1873 3959 y Fw(\))g(+)30
21942 b(^)-57 b Fj(p)2080 3918 y Fl(2)2080 3984 y Fk(?)2166
21943 3959 y Fw(=)2280 3892 y(1)p 2280 3936 V 2280 4028 a(2)2339
21944 3959 y(\()p Fj(m)2462 3918 y Fl(2)2462 3984 y(3)2524
21945 3959 y Fw(+)22 b Fj(m)2707 3918 y Fl(2)2707 3984 y(4)2746
21946 3959 y Fw(\))g(+)2916 3874 y(^)2914 3892 y Fj(t)7 b Fw(^)-55
21947 b Fj(u)21 b Fn(\000)i Fj(m)3212 3856 y Fl(2)3212 3917
21948 y(3)3252 3892 y Fj(m)3337 3856 y Fl(2)3337 3917 y(4)p
21949 2914 3936 463 4 v 3126 4028 a Fw(^)-53 b Fj(s)3606 3959
21950 y Fw(\(71\))0 4161 y(when)32 b(masses)g(are)f(in)m(tro)s(duced.)43
21951 b(The)32 b(mass)f(term)f(is)h(selected)h(suc)m(h)g(that,)f(for)f
21952 Fj(m)3073 4176 y Fl(3)3141 4161 y Fw(=)d Fj(m)3329 4176
21953 y Fl(4)3397 4161 y Fw(=)g Fj(m)p Fw(,)32 b(the)0 4269
21954 y(expression)i(reduces)g(to)e(the)h(squared)h(transv)m(erse)h(mass,)e
21955 Fj(Q)2271 4233 y Fl(2)2338 4269 y Fw(=)46 b(^)-67 b Fj(m)2527
21956 4233 y Fl(2)2527 4294 y Fk(?)2614 4269 y Fw(=)27 b Fj(m)2802
21957 4233 y Fl(2)2864 4269 y Fw(+)j(^)-57 b Fj(p)3011 4233
21958 y Fl(2)3011 4294 y Fk(?)3070 4269 y Fw(.)146 4390 y(The)32
21959 b(d)5 b(^)-54 b Fj(\033)t(=)p Fw(d)562 4371 y(^)561 4390
21960 y Fj(t)30 b Fw(expresses)k(the)c(di\013eren)m(tial)f(cross)i(section)f
21961 (for)g(a)g(scattering,)h(as)f(a)g(function)g(of)g(the)0
21962 4510 y(kinematical)d(quan)m(tities)34 b(^)-53 b Fj(s)p
21963 Fw(,)1073 4492 y(^)1071 4510 y Fj(t)30 b Fw(and)36 b(^)-55
21964 b Fj(u)p Fw(.)42 b(It)30 b(is)g(in)f(this)g(function)h(that)g(the)g(ph)
21965 m(ysics)h(of)f(a)f(giv)m(en)h(pro)s(cess)0 4619 y(resides.)146
21966 4727 y(The)47 b(p)s(erformance)e(of)g(a)g(mac)m(hine)g(is)g(measured)i
21967 (in)d(terms)i(of)f(its)g(luminosit)m(y)e Fn(L)p Fw(,)49
21968 b(whic)m(h)d(is)0 4835 y(directly)31 b(prop)s(ortional)f(to)h(the)i(n)m
21969 (um)m(b)s(er)f(of)g(particles)f(in)g(eac)m(h)i(bunc)m(h)h(and)e(to)g
21970 (the)g(bunc)m(h)h(crossing)0 4944 y(frequency)-8 b(,)45
21971 b(and)40 b(in)m(v)m(ersely)i(prop)s(ortional)c(to)i(the)h(area)g(of)f
21972 (the)h(bunc)m(hes)h(at)f(the)g(collision)c(p)s(oin)m(t.)0
21973 5052 y(F)-8 b(or)29 b(a)g(pro)s(cess)i(with)e(a)g Fj(\033)34
21974 b Fw(as)c(giv)m(en)g(b)m(y)g(eq.)h(\(69\),)e(the)h(di\013eren)m(tial)e
21975 (ev)m(en)m(t)j(rate)f(is)f(giv)m(en)h(b)m(y)g Fj(\033)t
21976 Fn(L)p Fw(,)g(and)0 5160 y(the)j(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j
21977 (collected)d(o)m(v)m(er)i(a)e(giv)m(en)h(p)s(erio)s(d)e(of)h(time)1567
21978 5361 y Fj(N)38 b Fw(=)28 b Fj(\033)1879 5244 y Fg(Z)1978
21979 5361 y Fn(L)17 b Fw(d)p Fj(t)33 b(:)1393 b Fw(\(72\))0
21980 5561 y(The)49 b(program)d(do)s(es)i(not)g(calculate)e(the)i(n)m(um)m(b)
21981 s(er)h(of)e(ev)m(en)m(ts,)54 b(but)48 b(only)f(the)h(in)m(tegrated)g
21982 (cross)0 5669 y(sections.)1841 5953 y(92)p eop
21983 %%Page: 93 99
21984 93 98 bop 0 -18 a Fp(7.3)135 b(Resonance)46 b(Pro)t(duction)0
21985 154 y Fw(The)e(simplest)e(w)m(a)m(y)i(to)f(pro)s(duce)g(a)g(resonance)i
21986 (is)d(b)m(y)i(a)f(2)i Fn(!)g Fw(1)e(pro)s(cess.)76 b(If)43
21987 b(the)g(deca)m(y)i(of)d(the)0 263 y(resonance)30 b(is)d(not)h
21988 (considered,)i(the)f(cross-section)g(form)m(ula)d(do)s(es)j(not)f(dep)s
21989 (end)i(on)3134 244 y(^)3133 263 y Fj(t)p Fw(,)f(but)g(tak)m(es)g(the)0
21990 371 y(form)912 516 y Fj(\033)i Fw(=)1102 399 y Fg(Z)53
21991 b(Z)1311 448 y Fw(d)p Fj(\034)p 1311 493 108 4 v 1338
21992 584 a(\034)1445 516 y Fw(d)p Fj(y)20 b(x)1622 531 y Fl(1)1662
21993 516 y Fj(f)1710 531 y Fl(1)1750 516 y Fw(\()p Fj(x)1843
21994 531 y Fl(1)1882 516 y Fj(;)d(Q)2003 475 y Fl(2)2043 516
21995 y Fw(\))g Fj(x)2153 531 y Fl(2)2192 516 y Fj(f)2240 531
21996 y Fl(2)2280 516 y Fw(\()p Fj(x)2373 531 y Fl(2)2413 516
21997 y Fj(;)g(Q)2534 475 y Fl(2)2573 516 y Fw(\))22 b(^)-54
21998 b Fj(\033)t Fw(\()t(^)h Fj(s)o Fw(\))33 b Fj(:)738 b
21999 Fw(\(73\))0 708 y(Here)35 b(the)h(ph)m(ysics)g(is)e(con)m(tained)h(in)f
22000 (the)h(cross)h(section)k(^)-55 b Fj(\033)t Fw(\()t(^)i
22001 Fj(s)p Fw(\).)50 b(The)36 b Fj(Q)2679 671 y Fl(2)2753
22002 708 y Fw(scale)f(is)f(usually)g(tak)m(en)i(to)0 816 y(b)s(e)d
22003 Fj(Q)210 780 y Fl(2)277 816 y Fw(=)f(^)-53 b Fj(s)p Fw(.)146
22004 924 y(In)30 b(published)g(form)m(ulae,)e(cross)j(sections)f(are)f
22005 (often)h(giv)m(en)g(in)e(the)i(zero-width)g(appro)m(ximation,)0
22006 1033 y(i.e.)66 b(^)-54 b Fj(\033)t Fw(\()t(^)h Fj(s)p
22007 Fw(\))38 b Fn(/)h Fj(\016)t Fw(\()t(^)-53 b Fj(s)26 b
22008 Fn(\000)h Fj(m)867 996 y Fl(2)867 1057 y Fh(R)925 1033
22009 y Fw(\),)40 b(where)g Fj(m)1403 1048 y Fh(R)1499 1033
22010 y Fw(is)f(the)g(mass)f(of)g(the)i(resonance.)63 b(In)m(tro)s(ducing)38
22011 b(the)h(scaled)0 1141 y(mass)f Fj(\034)287 1156 y Fh(R)382
22012 1141 y Fw(=)f Fj(m)580 1105 y Fl(2)580 1166 y Fh(R)638
22013 1141 y Fj(=s)p Fw(,)j(this)e(corresp)s(onds)h(to)f(a)g(delta)f
22014 (function)h Fj(\016)t Fw(\()p Fj(\034)f Fn(\000)26 b
22015 Fj(\034)2694 1156 y Fh(R)2753 1141 y Fw(\),)39 b(whic)m(h)g(can)f(b)s
22016 (e)h(used)g(to)0 1249 y(eliminate)30 b(the)j(in)m(tegral)e(o)m(v)m(er)i
22017 Fj(\034)11 b Fw(.)146 1358 y(Ho)m(w)m(ev)m(er,)41 b(what)d(w)m(e)g
22018 (normally)d(w)m(an)m(t)k(to)e(do)g(is)g(replace)g(the)h
22019 Fj(\016)j Fw(function)c(b)m(y)i(the)e(appropriate)0 1466
22020 y(Breit{Wigner)31 b(shap)s(e.)44 b(F)-8 b(or)32 b(a)g(resonance)i
22021 (width)f(\000)1959 1481 y Fh(R)2049 1466 y Fw(this)f(is)g(ac)m(hiev)m
22022 (ed)i(b)m(y)g(the)f(replacemen)m(t)1095 1687 y Fj(\016)t
22023 Fw(\()p Fj(\034)h Fn(\000)22 b Fj(\034)1397 1702 y Fh(R)1455
22024 1687 y Fw(\))28 b Fn(!)1665 1620 y Fj(s)p 1658 1664 59
22025 4 v 1658 1756 a(\031)2053 1620 y(m)2138 1635 y Fh(R)2196
22026 1620 y Fw(\000)2257 1635 y Fh(R)p 1754 1664 862 4 v 1754
22027 1756 a Fw(\()p Fj(s\034)33 b Fn(\000)23 b Fj(m)2098 1721
22028 y Fl(2)2098 1780 y Fh(R)2156 1756 y Fw(\))2194 1727 y
22029 Fl(2)2255 1756 y Fw(+)f Fj(m)2438 1721 y Fl(2)2438 1780
22030 y Fh(R)2496 1756 y Fw(\000)2557 1721 y Fl(2)2557 1780
22031 y Fh(R)2657 1687 y Fj(:)922 b Fw(\(74\))0 1916 y(In)33
22032 b(this)f(form)m(ula)f(the)i(resonance)h(width)e(\000)1620
22033 1931 y Fh(R)1710 1916 y Fw(is)g(a)h(constan)m(t.)146
22034 2024 y(An)49 b(impro)m(v)m(ed)g(description)f(of)h(resonance)h(shap)s
22035 (es)g(is)e(obtained)g(if)g(the)h(width)f(is)h(made)j(^)-53
22036 b Fj(s)p Fw(-)0 2133 y(dep)s(enden)m(t)25 b(\(o)s(ccasionally)c(also)i
22037 (referred)h(to)f(as)g(mass-dep)s(enden)m(t)i(width,)g(since)j(^)-53
22038 b Fj(s)23 b Fw(is)g(not)g(alw)m(a)m(ys)h(the)0 2241 y(resonance)32
22039 b(mass\),)f(see)h(e.g.)44 b([Ber89].)f(T)-8 b(o)30 b(\014rst)i(appro)m
22040 (ximation,)d(this)h(means)h(that)g(the)g(expression)0
22041 2350 y Fj(m)85 2365 y Fh(R)143 2350 y Fw(\000)204 2365
22042 y Fh(R)301 2350 y Fw(is)40 b(to)f(b)s(e)h(replaced)g(b)m(y)k(^)-53
22043 b Fj(s)p Fw(\000)1314 2365 y Fh(R)1372 2350 y Fj(=m)1506
22044 2365 y Fh(R)1564 2350 y Fw(.)64 b(T)-8 b(o)40 b(b)s(e)g(more)f
22045 (precise,)j(in)d(the)h(program)f(the)h(quan)m(tit)m(y)0
22046 2458 y Fj(H)81 2473 y Fh(R)139 2458 y Fw(\()t(^)-53 b
22047 Fj(s)o Fw(\))33 b(is)f(in)m(tro)s(duced,)h(and)f(the)h(Breit{Wigner)f
22048 (is)g(written)g(as)1069 2691 y Fj(\016)t Fw(\()p Fj(\034)h
22049 Fn(\000)23 b Fj(\034)1371 2706 y Fh(R)1429 2691 y Fw(\))28
22050 b Fn(!)1638 2624 y Fj(s)p 1632 2668 59 4 v 1632 2760
22051 a(\031)2027 2624 y(H)2108 2639 y Fh(R)2166 2624 y Fw(\()p
22052 Fj(s\034)11 b Fw(\))p 1727 2668 914 4 v 1727 2760 a(\()p
22053 Fj(s\034)34 b Fn(\000)23 b Fj(m)2072 2725 y Fl(2)2072
22054 2784 y Fh(R)2130 2760 y Fw(\))2168 2731 y Fl(2)2229 2760
22055 y Fw(+)f Fj(H)2416 2725 y Fl(2)2408 2784 y Fh(R)2466
22056 2760 y Fw(\()p Fj(s\034)11 b Fw(\))2683 2691 y Fj(:)896
22057 b Fw(\(75\))0 2952 y(The)31 b Fj(H)279 2967 y Fh(R)366
22058 2952 y Fw(factor)e(is)h(ev)-5 b(aluated)29 b(as)h(a)g(sum)f(o)m(v)m(er)
22059 i(all)d(p)s(ossible)h(\014nal-state)g(c)m(hannels,)i
22060 Fj(H)3225 2967 y Fh(R)3310 2952 y Fw(=)3414 2885 y Fg(P)3502
22061 2973 y Fh(f)3564 2952 y Fj(H)3653 2901 y Fl(\()p Fh(f)7
22062 b Fl(\))3645 2976 y Fh(R)3752 2952 y Fw(.)0 3060 y(Eac)m(h)34
22063 b(deca)m(y)f(c)m(hannel)g(ma)m(y)g(ha)m(v)m(e)h(its)e(o)m(wn)37
22064 b(^)-53 b Fj(s)32 b Fw(dep)s(endence,)k(as)c(follo)m(ws.)146
22065 3168 y(A)42 b(deca)m(y)g(to)f(a)g(fermion)e(pair,)j Fj(R)i
22066 Fn(!)e Fw(f)p 1656 3089 37 4 v 7 w(f)6 b(,)43 b(giv)m(es)f(no)f(con)m
22067 (tribution)f(b)s(elo)m(w)h(threshold,)i(i.e.)69 b(for)4
22068 3297 y(^)-53 b Fj(s)41 b(<)g Fw(4)p Fj(m)338 3261 y Fl(2)338
22069 3321 y(f)378 3297 y Fw(.)67 b(Ab)s(o)m(v)m(e)41 b(threshold,)i
22070 Fj(H)1335 3246 y Fl(\()p Fh(f)7 b Fl(\))1327 3321 y Fh(R)1475
22071 3297 y Fw(is)40 b(prop)s(ortional)e(to)44 b(^)-53 b Fj(s)p
22072 Fw(,)43 b(m)m(ultiplied)37 b(b)m(y)k(a)f(threshold)h(factor)0
22073 3405 y Fj(\014)6 b Fw(\(3)18 b Fn(\000)g Fj(\014)322
22074 3369 y Fl(2)361 3405 y Fw(\))p Fj(=)p Fw(2)30 b(for)g(the)h(v)m(ector)h
22075 (part)f(of)f(a)g(spin)h(1)f(resonance,)j(b)m(y)e Fj(\014)2478
22076 3369 y Fl(3)2548 3405 y Fw(for)f(the)h(axial)e(v)m(ector)i(part,)g(and)
22077 0 3546 y(again)k(b)m(y)j Fj(\014)465 3510 y Fl(3)541
22078 3546 y Fw(for)e(a)h(spin)g(0)f(resonance.)58 b(Here)37
22079 b Fj(\014)k Fw(=)2013 3445 y Fg(q)p 2096 3445 439 4 v
22080 101 x Fw(1)22 b Fn(\000)g Fw(4)p Fj(m)2400 3512 y Fl(2)2400
22081 3571 y(f)2440 3546 y Fj(=)t Fw(^)-53 b Fj(s)o Fw(.)57
22082 b(F)-8 b(or)36 b(the)h(deca)m(y)h(in)m(to)e(unequal)0
22083 3676 y(masses,)d(e.g.)44 b(of)32 b(the)h(W)918 3640 y
22084 Fl(+)978 3676 y Fw(,)f(corresp)s(onding)h(but)g(more)f(complicated)f
22085 (expressions)j(are)f(used.)146 3784 y(F)-8 b(or)44 b(deca)m(ys)i(in)m
22086 (to)d(a)h(quark)h(pair,)h(the)f(univ)m(ersal)f(\014rst-order)g(strong)g
22087 (correction)g(factor)g(1)30 b(+)0 3912 y Fj(\013)62 3927
22088 y Fl(s)94 3912 y Fw(\()t(^)-53 b Fj(s)p Fw(\))p Fj(=\031)49
22089 b Fw(is)c(included)g(in)g Fj(H)1099 3862 y Fl(\()p Fh(f)7
22090 b Fl(\))1091 3937 y Fh(R)1199 3912 y Fw(.)82 b(The)47
22091 b(second-order)f(corrections)g(are)f(often)h(kno)m(wn,)k(but)c(then)0
22092 4021 y(are)38 b(sp)s(eci\014c)h(to)f(eac)m(h)h(resonance,)j(and)c(are)g
22093 (not)g(included.)61 b(An)38 b(option)f(exists)i(for)f(the)h
22094 Fj(\015)5 b(=)p Fw(Z)3574 3985 y Fl(0)3613 4021 y Fj(=)p
22095 Fw(Z)3722 3985 y Fk(0)p Fl(0)0 4129 y Fw(resonances,)27
22096 b(where)c(threshold)g(e\013ects)h(due)g(to)e(q)p 1814
22097 4076 52 4 v(q)h(b)s(ound-state)g(formation)d(are)j(tak)m(en)h(in)m(to)e
22098 (accoun)m(t)0 4238 y(in)32 b(a)g(smeared-out,)h(a)m(v)m(erage)g(sense,)
22099 i(see)e(eq.)h(\(117\).)146 4346 y(F)-8 b(or)35 b(other)h(deca)m(y)h(c)m
22100 (hannels,)h(not)d(in)m(to)g(fermion)f(pairs,)i(the)41
22101 b(^)-53 b Fj(s)35 b Fw(dep)s(endence)j(is)e(t)m(ypically)e(more)0
22102 4454 y(complicated.)39 b(F)-8 b(or)25 b(instance,)i(the)f(deca)m(y)h(H)
22103 1644 4418 y Fl(0)1711 4454 y Fn(!)g Fw(W)1939 4418 y
22104 Fl(+)1999 4454 y Fw(W)2100 4418 y Fk(\000)2185 4454 y
22105 Fw(has)e(a)g(partial)e(width)i(prop)s(ortional)e(to)29
22106 b(^)-53 b Fj(s)3713 4418 y Fl(2)3752 4454 y Fw(,)0 4563
22107 y(with)24 b(a)f(threshold)i(factor)e Fj(\014)1038 4526
22108 y Fl(3)1077 4563 y Fw(.)41 b(Since)24 b(a)g(Higgs)f(with)h
22109 Fj(m)2023 4578 y Fl(H)2108 4563 y Fj(<)j Fw(2)p Fj(m)2345
22110 4578 y Fl(W)2447 4563 y Fw(could)d(still)d(deca)m(y)26
22111 b(in)d(this)h(c)m(hannel,)0 4671 y(it)35 b(is)h(in)g(fact)g(necessary)j
22112 (to)d(p)s(erform)g(a)g(t)m(w)m(o-dimensional)e(in)m(tegral)h(o)m(v)m
22113 (er)j(the)f Fj(W)3109 4635 y Fk(\006)3204 4671 y Fw(Breit{Wigner)0
22114 4779 y(mass)h(distributions)e(to)i(obtain)e(the)i(correct)h(result)f
22115 (\(and)f(this)h(has)g(to)f(b)s(e)h(done)h(n)m(umerically)-8
22116 b(,)37 b(at)0 4888 y(least)d(in)g(part\).)48 b(F)-8 b(ortunately)g(,)34
22117 b(a)h(Higgs)e(particle)g(ligh)m(ter)g(than)i(2)p Fj(m)2569
22118 4903 y Fl(W)2681 4888 y Fw(is)f(su\016cien)m(tly)h(narro)m(w)g(that)0
22119 4996 y(the)i(in)m(tegral)f(only)g(needs)i(to)f(b)s(e)g(p)s(erformed)f
22120 (once)i(and)f(for)f(all)f(at)h(initialization)c(\(whereas)38
22121 b(most)0 5104 y(other)29 b(partial)d(widths)j(are)g(recalculated)f
22122 (whenev)m(er)j(needed\).)44 b(Channels)29 b(that)g(pro)s(ceed)g(via)f
22123 (lo)s(ops,)0 5213 y(suc)m(h)34 b(as)f(H)28 b Fn(!)f Fw(gg)q(,)32
22124 b(also)g(displa)m(y)g(complicated)f(threshold)i(b)s(eha)m(viours.)146
22125 5321 y(The)e(coupling)d(structure)j(within)e(the)h(electro)m(w)m(eak)h
22126 (sector)g(is)e(usually)g(\(re\)expressed)k(in)c(terms)0
22127 5429 y(of)j(gauge)g(b)s(oson)h(masses,)h Fj(\013)1078
22128 5444 y Fl(em)1204 5429 y Fw(and)f(sin)1514 5389 y Fl(2)1553
22129 5429 y Fj(\022)1598 5444 y Fh(W)1679 5429 y Fw(,)g(i.e.)43
22130 b(factors)33 b(of)f Fj(G)2413 5444 y Fl(F)2495 5429 y
22131 Fw(are)h(replaced)g(according)f(to)1423 5538 y Fn(p)p
22132 1506 5538 49 4 v 87 x Fw(2)o Fj(G)1631 5640 y Fl(F)1709
22133 5625 y Fw(=)1939 5558 y Fj(\031)21 b(\013)2077 5573 y
22134 Fl(em)p 1823 5602 465 4 v 1823 5695 a Fw(sin)1942 5655
22135 y Fl(2)1982 5695 y Fj(\022)2027 5710 y Fh(W)2124 5695
22136 y Fj(m)2209 5660 y Fl(2)2209 5719 y(W)2330 5625 y Fj(:)1249
22137 b Fw(\(76\))1841 5953 y(93)p eop
22138 %%Page: 94 100
22139 94 99 bop 0 -18 a Fw(Ha)m(ving)30 b(done)i(that,)e Fj(\013)861
22140 -3 y Fl(em)986 -18 y Fw(is)h(allo)m(w)m(ed)f(to)g(run)h([Kle89)o(],)g
22141 (and)g(is)f(ev)-5 b(aluated)30 b(at)h(the)k(^)-53 b Fj(s)30
22142 b Fw(scale.)43 b(Thereb)m(y)0 90 y(the)31 b(relev)-5
22143 b(an)m(t)31 b(electro)m(w)m(eak)i(lo)s(op)c(correction)i(factors)g(are)
22144 g(reco)m(v)m(ered)i(at)e(the)g Fj(m)2996 105 y Fl(W)3074
22145 90 y Fj(=m)3208 105 y Fl(Z)3286 90 y Fw(scale.)43 b(Ho)m(w-)0
22146 198 y(ev)m(er,)33 b(the)e(option)f(exists)h(to)g(go)f(the)i(other)f(w)m
22147 (a)m(y)h(and)f(eliminate)d Fj(\013)2500 213 y Fh(e)2537
22148 198 y Fj(m)j Fw(in)f(fa)m(v)m(our)h(of)g Fj(G)3248 213
22149 y Fl(F)3298 198 y Fw(.)43 b(Curren)m(tly)0 307 y(sin)120
22150 267 y Fl(2)159 307 y Fj(\022)204 322 y Fh(W)322 307 y
22151 Fw(is)36 b(not)h(allo)m(w)m(ed)f(to)g(run.)56 b(F)-8
22152 b(or)36 b(the)h(Higgs)f(particle,)h(the)g(couplings)e(to)i(fermions)e
22153 (are)i(pro-)0 415 y(p)s(ortional)30 b(to)i(the)h(fermion)e(masses;)j
22154 (then)f(also)f(the)h(masses)g(are)f(ev)-5 b(aluated)33
22155 b(at)f(the)37 b(^)-53 b Fj(s)32 b Fw(scale.)146 523 y(In)39
22156 b(summary)-8 b(,)39 b(w)m(e)h(see)g(that)e(an)k(^)-53
22157 b Fj(s)39 b Fw(dep)s(endence)h(ma)m(y)f(en)m(ter)g(sev)m(eral)g
22158 (di\013eren)m(t)g(w)m(a)m(ys)h(in)m(to)e(the)0 652 y
22159 Fj(H)89 601 y Fl(\()p Fh(f)7 b Fl(\))81 676 y Fh(R)221
22160 652 y Fw(expressions)33 b(from)e(whic)m(h)h(the)g(total)f
22161 Fj(H)1717 667 y Fh(R)1806 652 y Fw(is)g(built)f(up.)44
22162 b(Also)31 b(note)h(that,)g(with)g(the)g(exception)0 760
22163 y(of)j(the)h(term)f(\(s)p Fj(\034)h Fn(\000)25 b Fj(m)862
22164 724 y Fl(2)862 785 y Fh(R)920 760 y Fw(\))958 724 y Fl(2)1033
22165 760 y Fw(in)34 b(the)i(denominator)e(of)h(the)h(Breit{Wigner,)f(no)h
22166 (memory)e(remains)h(of)0 886 y(the)e(nominal)d Fj(m)627
22167 901 y Fh(R)717 886 y Fw(mass:)44 b(ev)m(erywhere)36 b(else,)d(what)f
22168 (en)m(ters)j(is)d(the)h(actual)e(resonance)j(mass)3486
22169 801 y Fn(p)p 3569 801 46 4 v 3573 886 a Fw(^)-53 b Fj(s)p
22170 Fw(.)146 994 y(When)28 b(only)e(deca)m(ys)j(to)d(a)h(sp)s(eci\014c)g
22171 (\014nal)f(state)h Fj(f)38 b Fw(are)27 b(considered,)h(the)g
22172 Fj(H)2889 1009 y Fh(R)2973 994 y Fw(in)e(the)h(denominator)0
22173 1102 y(remains)40 b(the)h(sum)f(o)m(v)m(er)i(all)c(allo)m(w)m(ed)i
22174 (deca)m(y)i(c)m(hannels,)h(but)e(the)g(n)m(umerator)f(only)g(con)m
22175 (tains)h(the)0 1231 y Fj(H)89 1180 y Fl(\()p Fh(f)7 b
22176 Fl(\))81 1255 y Fh(R)221 1231 y Fw(term)32 b(of)g(the)h(\014nal)f
22177 (state)h(considered.)146 1339 y(If)j(the)h(com)m(bined)e(pro)s(duction)
22178 h(and)g(deca)m(y)h(pro)s(cess)g Fj(i)d Fn(!)f Fj(R)h
22179 Fn(!)g Fj(f)46 b Fw(is)36 b(considered,)h(the)g(same)j(^)-53
22180 b Fj(s)0 1447 y Fw(dep)s(endence)28 b(is)e(implicit)c(in)j(the)i
22181 (coupling)e(structure)i(of)e Fj(i)j Fn(!)g Fj(R)f Fw(as)f(one)g(w)m
22182 (ould)g(ha)m(v)m(e)i(had)e(in)f Fj(R)k Fn(!)e Fj(i)p
22183 Fw(,)0 1556 y(i.e.)54 b(to)36 b(\014rst)h(appro)m(ximation)d(there)j
22184 (is)f(a)g(symmetry)g(b)s(et)m(w)m(een)i(couplings)e(of)g(a)f(resonance)
22185 j(to)e(the)0 1664 y(initial)30 b(and)j(to)g(the)h(\014nal)e(state.)46
22186 b(The)35 b(cross)f(section)k(^)-54 b Fj(\033)38 b Fw(is)32
22187 b(therefore,)j(in)d(the)i(program,)e(written)h(in)0 1772
22188 y(the)g(form)1117 1949 y(^)-54 b Fj(\033)1167 1964 y
22189 Fh(i)p Fk(!)p Fh(R)p Fk(!)p Fh(f)1431 1949 y Fw(\()t(^)h
22190 Fj(s)p Fw(\))28 b Fn(/)1696 1881 y Fj(\031)p 1696 1926
22191 59 4 v 1706 2017 a Fw(^)-53 b Fj(s)1884 1881 y(H)1973
22192 1831 y Fl(\()p Fh(i)p Fl(\))1965 1906 y Fh(R)2056 1881
22193 y Fw(\()t(^)g Fj(s)p Fw(\))17 b Fj(H)2284 1831 y Fl(\()p
22194 Fh(f)7 b Fl(\))2276 1906 y Fh(R)2383 1881 y Fw(\()t(^)-53
22195 b Fj(s)p Fw(\))p 1791 1926 807 4 v 1791 2017 a(\()t(^)g
22196 Fj(s)23 b Fn(\000)f Fj(m)2082 1983 y Fl(2)2082 2042 y
22197 Fh(R)2140 2017 y Fw(\))2178 1988 y Fl(2)2240 2017 y Fw(+)g
22198 Fj(H)2427 1983 y Fl(2)2419 2042 y Fh(R)2476 2017 y Fw(\()t(^)-53
22199 b Fj(s)p Fw(\))2641 1949 y Fj(:)938 b Fw(\(77\))0 2181
22200 y(As)27 b(a)e(simple)g(example,)i(the)f(cross)h(section)f(for)g(the)g
22201 (pro)s(cess)h(e)2307 2145 y Fk(\000)p 2367 2128 55 4
22202 v 2367 2181 a Fj(\027)2421 2196 y Fl(e)2484 2181 y Fn(!)h
22203 Fw(W)2713 2145 y Fk(\000)2800 2181 y Fn(!)f Fj(\026)2986
22204 2145 y Fk(\000)p 3045 2128 V 3045 2181 a Fj(\027)3100
22205 2196 y Fh(\026)3172 2181 y Fw(can)f(b)s(e)h(written)0
22206 2289 y(as)1171 2465 y(^)-54 b Fj(\033)t Fw(\()t(^)h Fj(s)p
22207 Fw(\))28 b(=)f(12)1602 2398 y Fj(\031)p 1602 2442 59
22208 4 v 1612 2534 a Fw(^)-53 b Fj(s)1810 2398 y(H)1899 2347
22209 y Fl(\()p Fh(i)p Fl(\))1891 2422 y(W)1982 2398 y Fw(\()t(^)g
22210 Fj(s)p Fw(\))17 b Fj(H)2210 2347 y Fl(\()p Fh(f)7 b Fl(\))2202
22211 2422 y(W)2309 2398 y Fw(\()t(^)-53 b Fj(s)p Fw(\))p 1698
22212 2442 847 4 v 1698 2534 a(\()t(^)g Fj(s)22 b Fn(\000)g
22213 Fj(m)1988 2499 y Fl(2)1988 2558 y(W)2066 2534 y Fw(\))2104
22214 2505 y Fl(2)2166 2534 y Fw(+)g Fj(H)2353 2499 y Fl(2)2345
22215 2558 y(W)2422 2534 y Fw(\()t(^)-53 b Fj(s)p Fw(\))2586
22216 2465 y Fj(;)993 b Fw(\(78\))0 2690 y(where)1178 2841
22217 y Fj(H)1267 2790 y Fl(\()p Fh(i)p Fl(\))1259 2865 y(W)1349
22218 2841 y Fw(\()t(^)-53 b Fj(s)p Fw(\))28 b(=)f Fj(H)1691
22219 2790 y Fl(\()p Fh(f)7 b Fl(\))1683 2865 y(W)1791 2841
22220 y Fw(\()t(^)-53 b Fj(s)p Fw(\))27 b(=)2123 2773 y Fj(\013)2185
22221 2788 y Fl(em)2279 2773 y Fw(\()t(^)-53 b Fj(s)p Fw(\))p
22222 2054 2817 416 4 v 2054 2910 a(24)33 b(sin)2304 2870 y
22223 Fl(2)2344 2910 y Fj(\022)2389 2925 y Fh(W)2500 2841 y
22224 Fw(^)-53 b Fj(s)33 b(:)1004 b Fw(\(79\))0 3062 y(If)46
22225 b(the)g(e\013ects)g(of)g(sev)m(eral)g(initial)c(and/or)j(\014nal)g
22226 (states)h(are)g(studied,)j(it)c(is)g(straigh)m(tforw)m(ard)g(to)0
22227 3170 y(in)m(tro)s(duce)33 b(an)f(appropriate)g(summation)e(in)i(the)h
22228 (n)m(umerator.)146 3299 y(The)47 b(analogy)e(b)s(et)m(w)m(een)j(the)e
22229 Fj(H)1394 3248 y Fl(\()p Fh(f)7 b Fl(\))1386 3323 y Fh(R)1539
22230 3299 y Fw(and)46 b Fj(H)1831 3248 y Fl(\()p Fh(i)p Fl(\))1823
22231 3323 y Fh(R)1960 3299 y Fw(cannot)g(b)s(e)g(pushed)h(to)s(o)e(far,)k
22232 (ho)m(w)m(ev)m(er.)86 b(The)0 3407 y(t)m(w)m(o)31 b(di\013er)f(in)g
22233 (sev)m(eral)h(imp)s(ortan)m(t)e(asp)s(ects.)44 b(Firstly)-8
22234 b(,)30 b(colour)f(factors)i(app)s(ear)f(rev)m(ersed:)45
22235 b(the)31 b(deca)m(y)0 3515 y Fj(R)e Fn(!)e Fw(q)p 281
22236 3462 52 4 v(q)d(con)m(tains)g(a)f(colour)g(factor)g Fj(N)1434
22237 3530 y Fh(C)1521 3515 y Fw(=)k(3)c(enhancemen)m(t,)k(while)c(q)p
22238 2601 3462 V(q)28 b Fn(!)g Fj(R)c Fw(is)f(instead)h(suppressed)0
22239 3624 y(b)m(y)40 b(a)e(factor)g(1)p Fj(=)-5 b(N)685 3639
22240 y Fh(C)782 3624 y Fw(=)38 b(1)p Fj(=)p Fw(3.)61 b(Secondly)-8
22241 b(,)41 b(the)e(1)26 b(+)g Fj(\013)1980 3639 y Fl(s)2012
22242 3624 y Fw(\()t(^)-53 b Fj(s)p Fw(\))p Fj(=\031)42 b Fw(\014rst-order)d
22243 (correction)g(factor)f(for)g(the)0 3732 y(\014nal)c(state)i(has)f(to)f
22244 (b)s(e)i(replaced)f(b)m(y)h(a)e(more)g(complicated)g
22245 Fj(K)42 b Fw(factor)34 b(for)h(the)g(initial)c(state.)51
22246 b(This)0 3840 y(factor)33 b(is)h(not)g(usually)f(kno)m(wn,)i(or)f(it)f
22247 (is)g(kno)m(wn)j(\(to)d(\014rst)h(non-trivial)d(order\))j(but)h(to)s(o)
22248 e(length)m(y)h(to)0 3949 y(b)s(e)j(included)f(in)f(the)i(program.)54
22249 b(Thirdly)-8 b(,)37 b(incoming)d(partons)j(as)g(a)f(rule)g(are)g
22250 (space-lik)m(e.)55 b(All)35 b(the)0 4057 y(threshold)h(suppression)i
22251 (factors)e(of)g(the)h(\014nal)e(state)i(expressions)h(are)e(therefore)h
22252 (irrelev)-5 b(an)m(t)35 b(when)0 4185 y(pro)s(duction)29
22253 b(is)g(considered.)43 b(In)30 b(sum,)g(the)g Fj(H)1706
22254 4134 y Fl(\()p Fh(f)7 b Fl(\))1698 4210 y Fh(R)1806 4185
22255 y Fw({)p Fj(H)1944 4134 y Fl(\()p Fh(i)p Fl(\))1936 4210
22256 y Fh(R)2056 4185 y Fw(analogy)28 b(is)h(mainly)e(useful)j(as)g(a)f
22257 (consistency)0 4294 y(cross-c)m(hec)m(k,)h(while)25 b(the)h(t)m(w)m(o)g
22258 (usually)f(are)h(calculated)f(separately)-8 b(.)41 b(Exceptions)27
22259 b(include)e(the)h(rather)0 4402 y(messy)34 b(lo)s(op)d(structure)j(in)m
22260 (v)m(olv)m(ed)f(in)e(gg)e Fn(!)e Fw(H)1740 4366 y Fl(0)1812
22261 4402 y Fw(and)33 b(H)2075 4366 y Fl(0)2142 4402 y Fn(!)28
22262 b Fw(gg)q(,)k(whic)m(h)h(is)f(only)g(co)s(ded)h(once.)146
22263 4510 y(It)38 b(is)e(of)h(some)g(in)m(terest)h(to)f(consider)h(the)f
22264 (observ)-5 b(able)38 b(resonance)g(shap)s(e)g(when)h(the)e(e\013ects)i
22265 (of)0 4619 y(parton)i(distributions)g(are)g(included.)71
22266 b(In)42 b(a)f(hadron)h(collider,)g(to)f(\014rst)h(appro)m(ximation,)g
22267 (parton)0 4727 y(distributions)30 b(tend)i(to)f(ha)m(v)m(e)i(a)e(b)s
22268 (eha)m(viour)g(roughly)g(lik)m(e)g Fj(f)11 b Fw(\()p
22269 Fj(x)p Fw(\))28 b Fn(/)g Fw(1)p Fj(=x)j Fw(for)g(small)e
22270 Fj(x)j Fw(|)f(this)g(is)g(wh)m(y)0 4835 y Fj(f)11 b Fw(\()p
22271 Fj(x)p Fw(\))38 b(is)f(replaced)i(b)m(y)f Fj(xf)11 b
22272 Fw(\()p Fj(x)p Fw(\))39 b(in)e(eq.)60 b(\(69\).)f(Instead,)41
22273 b(the)d(basic)g(parton-distribution)e(b)s(eha)m(viour)0
22274 4944 y(is)f(shifted)g(in)m(to)f(the)i(factor)e(of)h(1)p
22275 Fj(=\034)46 b Fw(in)34 b(the)i(in)m(tegration)d(phase)j(space)g(d)p
22276 Fj(\034)11 b(=\034)g Fw(,)37 b(cf.)51 b(eq.)36 b(\(73\).)51
22277 b(When)0 5052 y(folded)27 b(with)h(the)g(Breit{Wigner)e(shap)s(e,)k(t)m
22278 (w)m(o)e(e\013ects)h(app)s(ear.)42 b(One)28 b(is)g(that)f(the)h(o)m(v)m
22279 (erall)f(resonance)0 5161 y(is)42 b(tilted:)62 b(the)42
22280 b(lo)m(w-mass)g(tail)e(is)i(enhanced)i(and)f(the)f(high-mass)g(one)g
22281 (suppressed.)76 b(The)43 b(other)0 5269 y(is)j(that)g(an)h(extremely)g
22282 (long)e(tail)g(dev)m(elops)i(on)g(the)g(lo)m(w-mass)f(side)g(of)g(the)h
22283 (resonance:)73 b(when)0 5377 y Fj(\034)52 b Fn(!)39 b
22284 Fw(0,)j(eq.)66 b(\(77\))40 b(with)f Fj(H)1062 5392 y
22285 Fh(R)1120 5377 y Fw(\()t(^)-53 b Fj(s)p Fw(\))40 b Fn(/)k
22286 Fw(^)-53 b Fj(s)40 b Fw(giv)m(es)h(a)j(^)-54 b Fj(\033)t
22287 Fw(\()t(^)h Fj(s)p Fw(\))40 b Fn(/)45 b Fw(^)-53 b Fj(s)40
22288 b Fn(/)h Fj(\034)11 b Fw(,)42 b(whic)m(h)e(exactly)h(cancels)f(the)g(1)
22289 p Fj(=\034)0 5486 y Fw(factor)33 b(men)m(tioned)g(ab)s(o)m(v)m(e.)48
22290 b(Na)-11 b(\177)-38 b(\020v)m(ely)-8 b(,)34 b(the)g(in)m(tegral)e(o)m
22291 (v)m(er)j Fj(y)t Fw(,)2293 5414 y Fg(R)2365 5486 y Fw(d)p
22292 Fj(y)d Fw(=)e Fn(\000)17 b Fw(ln)f Fj(\034)11 b Fw(,)34
22293 b(therefore)h(giv)m(es)f(a)f(net)0 5594 y(logarithmic)e(div)m(ergence)k
22294 (of)f(the)h(resonance)h(shap)s(e)f(when)g Fj(\034)43
22295 b Fn(!)30 b Fw(0.)49 b(Clearly)-8 b(,)34 b(it)f(is)h(then)h(necessary)
22296 1841 5953 y(94)p eop
22297 %%Page: 95 101
22298 95 100 bop 0 -18 a Fw(to)29 b(consider)g(the)h(shap)s(e)g(of)f(the)g
22299 (parton)g(distributions)f(in)h(more)f(detail.)41 b(A)m(t)29
22300 b(not-to)s(o-small)c Fj(Q)3547 -55 y Fl(2)3587 -18 y
22301 Fw(,)30 b(the)0 90 y(ev)m(olution)36 b(equations)g(in)g(fact)h(lead)e
22302 (to)i(parton)f(distributions)f(more)h(strongly)g(p)s(eak)m(ed)i(than)e
22303 (1)p Fj(=x)p Fw(,)0 198 y(t)m(ypically)k(with)h Fj(xf)11
22304 b Fw(\()p Fj(x)p Fw(\))44 b Fn(/)f Fj(x)1102 162 y Fk(\000)p
22305 Fl(0)p Fh(:)p Fl(3)1252 198 y Fw(,)g(and)f(therefore)g(a)f(div)m
22306 (ergence)i(lik)m(e)e Fj(\034)2756 162 y Fk(\000)p Fl(0)p
22307 Fh(:)p Fl(3)2947 198 y Fw(in)g(the)h(cross-section)0
22308 307 y(expression.)82 b(Ev)m(en)m(tually)46 b(this)f(div)m(ergence)h(is)
22309 f(regularized)f(b)m(y)i(a)f(closing)f(of)h(the)g(phase)h(space,)0
22310 415 y(i.e.)55 b(that)36 b Fj(H)476 430 y Fh(R)533 415
22311 y Fw(\()t(^)-53 b Fj(s)p Fw(\))37 b(v)-5 b(anishes)37
22312 b(faster)f(than)41 b(^)-53 b Fj(s)p Fw(,)37 b(and)g(b)m(y)g(a)f(less)h
22313 (drastic)f(small-)p Fj(x)e Fw(parton-distribution)0 523
22314 y(b)s(eha)m(viour)f(when)g Fj(Q)784 487 y Fl(2)852 523
22315 y Fn(\031)f Fw(^)-53 b Fj(s)27 b Fn(!)h Fw(0.)146 632
22316 y(The)37 b(secondary)g(p)s(eak)f(at)f(small)e Fj(\034)47
22317 b Fw(ma)m(y)35 b(giv)m(e)g(a)g(rather)h(high)e(cross)j(section,)f(whic)
22318 m(h)g(can)g(ev)m(en)0 740 y(riv)-5 b(al)33 b(that)i(of)g(the)h
22319 (ordinary)f(p)s(eak)g(around)h(the)g(nominal)c(mass.)52
22320 b(This)36 b(is)e(the)i(case,)h(for)e(instance,)0 848
22321 y(with)c(W)i(pro)s(duction.)42 b(Suc)m(h)33 b(a)e(p)s(eak)h(has)g(nev)m
22322 (er)h(b)s(een)f(observ)m(ed)i(exp)s(erimen)m(tally)-8
22323 b(,)30 b(but)i(this)f(is)g(not)0 957 y(surprising,)43
22324 b(since)e(the)h(bac)m(kground)g(from)e(other)h(pro)s(cesses)j(is)c(o)m
22325 (v)m(erwhelming)h(at)g(lo)m(w)k(^)-53 b Fj(s)p Fw(.)69
22326 b(Th)m(us)0 1065 y(a)39 b(lepton)f(of)h(one)g(or)f(a)h(few)h(GeV)e(of)h
22327 (transv)m(erse)i(momen)m(tum)d(is)g(far)g(more)h(lik)m(ely)e(to)i(come)
22328 g(from)0 1173 y(the)34 b(deca)m(y)i(of)d(a)h(c)m(harm)g(or)f(b)s(ottom)
22329 g(hadron)h(than)g(from)e(a)i(`W)q(')h(of)e(a)h(mass)g(of)f(a)h(few)h
22330 (GeV.)f(When)0 1282 y(resonance)e(pro)s(duction)e(is)h(studied,)g(it)f
22331 (is)g(therefore)i(imp)s(ortan)m(t)c(to)j(set)g(limits)d(on)j(the)g
22332 (mass)g(of)f(the)0 1390 y(resonance,)h(so)d(as)h(to)f(agree)h(with)f
22333 (the)h(exp)s(erimen)m(tal)e(de\014nition,)h(at)h(least)f(to)g(\014rst)h
22334 (appro)m(ximation.)0 1498 y(If)k(not,)f(cross-section)h(information)d
22335 (giv)m(en)i(b)m(y)i(the)f(program)e(ma)m(y)h(b)s(e)h(v)m(ery)h
22336 (confusing.)146 1607 y(Another)23 b(problem)e(is)h(that)g(often)h(the)f
22337 (matrix)f(elemen)m(ts)i(really)e(are)h(v)-5 b(alid)21
22338 b(only)h(in)f(the)i(resonance)0 1715 y(region.)47 b(The)36
22339 b(reason)e(is)g(that)g(one)g(usually)g(includes)g(only)g(the)g
22340 (simplest)g Fj(s)p Fw(-c)m(hannel)g(graph)g(in)f(the)0
22341 1823 y(calculation.)39 b(It)25 b(is)g(this)f(`signal')g(graph)h(that)g
22342 (has)h(a)e(p)s(eak)i(at)f(the)g(p)s(osition)f(of)h(the)g(resonance,)j
22343 (where)0 1932 y(it)37 b(\(usually\))f(giv)m(es)j(m)m(uc)m(h)f(larger)e
22344 (cross)j(sections)f(than)g(the)g(other)g(`bac)m(kground')h(graphs.)59
22345 b(Aw)m(a)m(y)0 2040 y(from)39 b(the)h(resonance)i(p)s(osition,)e
22346 (`signal')e(and)i(`bac)m(kground')i(ma)m(y)d(b)s(e)i(of)e(comparable)g
22347 (order,)j(or)0 2148 y(the)34 b(`bac)m(kground')g(ma)m(y)f(ev)m(en)i
22348 (dominate.)45 b(There)34 b(is)f(a)g(quan)m(tum)h(mec)m(hanical)e(in)m
22349 (terference)i(when)0 2257 y(some)26 b(of)f(the)i(`signal')d(and)i(`bac)
22350 m(kground')h(graphs)f(ha)m(v)m(e)i(the)e(same)g(initial)c(and)k
22351 (\014nal)f(state,)j(and)e(this)0 2365 y(in)m(terference)35
22352 b(ma)m(y)e(b)s(e)h(destructiv)m(e)h(or)e(constructiv)m(e.)48
22353 b(When)34 b(the)g(in)m(terference)h(is)e(non-negligible,)0
22354 2473 y(it)27 b(is)h(no)g(longer)f(meaningful)f(to)i(sp)s(eak)h(of)e(a)h
22355 (`signal')f(cross)i(section.)42 b(As)29 b(an)f(example,)h(consider)f
22356 (the)0 2582 y(scattering)h(of)h(longitudinal)c(W)q('s,)31
22357 b(W)1420 2541 y Fl(+)1419 2606 y(L)1480 2582 y Fw(W)1581
22358 2541 y Fk(\000)1580 2606 y Fl(L)1668 2582 y Fn(!)d Fw(W)1897
22359 2541 y Fl(+)1896 2606 y(L)1956 2582 y Fw(W)2057 2541
22360 y Fk(\000)2056 2606 y Fl(L)2117 2582 y Fw(,)i(where)h(the)f(`signal')e
22361 (pro)s(cess)j(is)f Fj(s)p Fw(-c)m(hannel)0 2690 y(exc)m(hange)36
22362 b(of)e(a)g(Higgs.)47 b(This)35 b(graph)f(b)m(y)h(itself)e(is)h(ill-b)s
22363 (eha)m(v)m(ed)f(a)m(w)m(a)m(y)i(from)e(the)i(resonance)g(region.)0
22364 2798 y(Destructiv)m(e)f(in)m(terference)h(with)e(`bac)m(kground')h
22365 (graphs)g(suc)m(h)h(as)f Fj(t)p Fw(-c)m(hannel)f(exc)m(hange)i(of)e(a)g
22366 (Higgs)0 2907 y(and)g Fj(s)p Fw(-)f(and)g Fj(t)p Fw(-c)m(hannel)h(exc)m
22367 (hange)h(of)e(a)h Fj(\015)5 b(=)p Fw(Z)32 b(is)g(required)h(to)f(sa)m
22368 (v)m(e)i(unitarit)m(y)e(at)g(large)f(energies.)146 3015
22369 y(In)j(e)312 2979 y Fl(+)371 3015 y Fw(e)414 2979 y Fk(\000)507
22370 3015 y Fw(colliders,)d(the)j Fj(f)1142 2979 y Fl(e)1131
22371 3040 y(e)1210 3015 y Fw(parton)f(distribution)e(is)i(p)s(eak)m(ed)h(at)
22372 f Fj(x)c Fw(=)f(1)33 b(rather)g(than)g(at)g Fj(x)c Fw(=)g(0.)0
22373 3123 y(The)36 b(situation)d(therefore)i(is)f(the)h(opp)s(osite,)g(if)e
22374 (one)i(considers)g(e.g.)50 b(Z)2659 3087 y Fl(0)2733
22375 3123 y Fw(pro)s(duction)34 b(in)g(a)g(mac)m(hine)0 3232
22376 y(running)j(at)g(energies)i(ab)s(o)m(v)m(e)f Fj(m)1233
22377 3247 y Fl(Z)1281 3232 y Fw(:)53 b(the)38 b(tail)e(to)m(w)m(ards)j(lo)m
22378 (w)m(er)e(masses)i(is)e(suppressed)j(and)e(the)g(one)0
22379 3340 y(to)m(w)m(ards)44 b(higher)e(masses)i(enhanced,)j(with)c(a)f
22380 (sharp)i(secondary)g(p)s(eak)f(at)g(around)g(the)g(nominal)0
22381 3448 y(energy)49 b(of)e(the)i(mac)m(hine.)89 b(Also)47
22382 b(in)g(this)h(case,)53 b(an)48 b(appropriate)f(de\014nition)g(of)g
22383 (cross)i(sections)0 3557 y(therefore)29 b(is)e(necessary)j(|)e(with)g
22384 (additional)d(complications)g(due)k(to)e(the)i(in)m(terference)g(b)s
22385 (et)m(w)m(een)h Fj(\015)3740 3521 y Fk(\003)0 3665 y
22386 Fw(and)k(Z)251 3629 y Fl(0)290 3665 y Fw(.)49 b(When)35
22387 b(other)g(pro)s(cesses)h(are)e(considered,)i(problems)d(of)h(in)m
22388 (terference)h(with)f(bac)m(kground)0 3774 y(app)s(ears)43
22389 b(also)e(here.)73 b(Numerically)40 b(the)i(problems)g(ma)m(y)g(b)s(e)g
22390 (less)g(pressing,)j(ho)m(w)m(ev)m(er,)i(since)c(the)0
22391 3882 y(secondary)j(p)s(eak)g(is)e(o)s(ccuring)g(in)g(a)h(high-mass)e
22392 (region,)48 b(rather)c(than)h(in)f(a)h(more)f(complicated)0
22393 3990 y(lo)m(w-mass)37 b(one.)59 b(F)-8 b(urther,)39 b(in)e(e)1202
22394 3954 y Fl(+)1262 3990 y Fw(e)1305 3954 y Fk(\000)1402
22395 3990 y Fw(there)h(is)f(little)f(uncertain)m(t)m(y)i(from)f(the)h(shap)s
22396 (e)g(of)g(the)g(parton)0 4099 y(distributions.)146 4207
22397 y(In)33 b(2)28 b Fn(!)g Fw(2)k(pro)s(cesses)j(where)f(a)e(pair)g(of)g
22398 (resonances)j(are)e(pro)s(duced,)h(e.g.)44 b(e)2984 4171
22399 y Fl(+)3043 4207 y Fw(e)3086 4171 y Fk(\000)3173 4207
22400 y Fn(!)28 b Fw(Z)3361 4171 y Fl(0)3400 4207 y Fw(H)3473
22401 4171 y Fl(0)3513 4207 y Fw(,)33 b(cross)0 4315 y(section)c(are)g
22402 (almost)e(alw)m(a)m(ys)j(giv)m(en)f(in)f(the)h(zero-width)g(appro)m
22403 (ximation)e(for)h(the)i(resonances.)44 b(Here)0 4424
22404 y(t)m(w)m(o)33 b(substitutions)g(of)f(the)h(t)m(yp)s(e)673
22405 4686 y(1)28 b(=)853 4569 y Fg(Z)953 4686 y Fj(\016)t
22406 Fw(\()p Fj(m)1123 4645 y Fl(2)1185 4686 y Fn(\000)22
22407 b Fj(m)1369 4645 y Fl(2)1369 4711 y Fh(R)1427 4686 y
22408 Fw(\))17 b Fj(dm)1618 4645 y Fl(2)1685 4686 y Fn(!)1812
22409 4569 y Fg(Z)1927 4619 y Fw(1)p 1922 4663 59 4 v 1922
22410 4755 a Fj(\031)2330 4619 y(m)2415 4634 y Fh(R)2473 4619
22411 y Fw(\000)2534 4634 y Fh(R)p 2017 4663 887 4 v 2017 4755
22412 a Fw(\()p Fj(m)2140 4726 y Fl(2)2202 4755 y Fn(\000)23
22413 b Fj(m)2387 4720 y Fl(2)2387 4779 y Fh(R)2445 4755 y
22414 Fw(\))2483 4726 y Fl(2)2544 4755 y Fw(+)f Fj(m)2727 4720
22415 y Fl(2)2727 4779 y Fh(R)2785 4755 y Fw(\000)2846 4720
22416 y Fl(2)2846 4779 y Fh(R)2931 4686 y Fj(dm)3067 4645 y
22417 Fl(2)3606 4686 y Fw(\(80\))0 4966 y(are)37 b(used)h(to)f(in)m(tro)s
22418 (duce)f(mass)h(distributions)f(for)g(the)h(t)m(w)m(o)h(resonance)g
22419 (masses,)h(i.e.)56 b Fj(m)3357 4930 y Fl(2)3357 4991
22420 y(3)3434 4966 y Fw(and)37 b Fj(m)3713 4930 y Fl(2)3713
22421 4991 y(4)3752 4966 y Fw(.)0 5075 y(In)42 b(the)f(form)m(ula,)h
22422 Fj(m)788 5090 y Fh(R)887 5075 y Fw(is)f(the)h(nominal)d(mass)i(and)g
22423 Fj(m)h Fw(the)f(actually)f(selected)j(one.)70 b(The)42
22424 b(phase-)0 5183 y(space)36 b(in)m(tegral)e(o)m(v)m(er)i
22425 Fj(x)887 5198 y Fl(1)927 5183 y Fw(,)g Fj(x)1045 5198
22426 y Fl(1)1120 5183 y Fw(and)1314 5165 y(^)1313 5183 y Fj(t)f
22427 Fw(in)g(eq.)52 b(\(69\))35 b(is)f(then)i(extended)i(to)c(in)m(v)m(olv)m
22428 (e)i(also)e Fj(m)3360 5147 y Fl(2)3360 5208 y(3)3435
22429 5183 y Fw(and)i Fj(m)3713 5147 y Fl(2)3713 5208 y(4)3752
22430 5183 y Fw(.)0 5292 y(The)h(e\013ects)g(of)e(the)i(mass-dep)s(enden)m(t)
22431 g(width)f(is)f(only)g(partly)g(tak)m(en)i(in)m(to)e(accoun)m(t,)j(b)m
22432 (y)f(replacing)0 5400 y(the)h(nominal)d(masses)k Fj(m)964
22433 5364 y Fl(2)964 5424 y(3)1041 5400 y Fw(and)f Fj(m)1321
22434 5364 y Fl(2)1321 5424 y(4)1399 5400 y Fw(in)f(the)h(d)5
22435 b(^)-54 b Fj(\033)t(=)p Fw(d)1908 5381 y(^)1907 5400
22436 y Fj(t)38 b Fw(expression)h(b)m(y)g(the)f(actually)e(generated)j(ones)0
22437 5529 y(\(also)k(e.g.)78 b(in)44 b(the)g(relation)e(b)s(et)m(w)m(een)
22438 1533 5510 y(^)1532 5529 y Fj(t)i Fw(and)g(cos)1967 5502
22439 y(^)1959 5529 y Fj(\022)s Fw(\),)j(while)d(the)g(widths)g(are)h(ev)-5
22440 b(aluated)43 b(at)h(the)0 5637 y(nominal)33 b(masses.)52
22441 b(This)35 b(is)g(the)g(equiv)-5 b(alen)m(t)35 b(of)g(a)g(simple)f
22442 (replacemen)m(t)h(of)g Fj(m)2957 5652 y Fh(R)3015 5637
22443 y Fw(\000)3076 5652 y Fh(R)3169 5637 y Fw(b)m(y)40 b(^)-53
22444 b Fj(s)p Fw(\000)3414 5652 y Fh(R)3471 5637 y Fj(=m)3605
22445 5652 y Fh(R)3698 5637 y Fw(in)1841 5953 y(95)p eop
22446 %%Page: 96 102
22447 96 101 bop 0 -18 a Fw(the)39 b(n)m(umerator)g(of)f(eq.)64
22448 b(\(74\),)40 b(but)f(not)g(in)f(the)i(denominator.)61
22449 b(In)39 b(addition,)g(the)g(full)e(threshold)0 90 y(dep)s(endence,)e
22450 (i.e.)43 b(the)33 b Fj(\014)6 b Fw(-dep)s(enden)m(t)34
22451 b(factors,)e(is)g(not)h(repro)s(duced.)146 198 y(There)i(is)e(no)g
22452 (particular)e(reason)j(wh)m(y)h(the)e(full)f(mass-dep)s(endence)j
22453 (could)e(not)g(b)s(e)g(in)m(tro)s(duced,)0 307 y(except)42
22454 b(for)e(the)h(extra)g(w)m(ork)h(and)f(time)e(consumption)h(needed)i
22455 (for)e(eac)m(h)i(pro)s(cess.)69 b(In)41 b(fact,)h(the)0
22456 415 y(matrix)c(elemen)m(ts)i(for)g(sev)m(eral)g Fj(\015)1270
22457 379 y Fk(\003)1310 415 y Fj(=)p Fw(Z)1419 379 y Fl(0)1497
22458 415 y Fw(pro)s(duction)f(pro)s(cesses)j(do)e(con)m(tain)f(the)i(full)d
22459 (expressions.)0 523 y(On)32 b(the)h(other)f(hand,)h(the)f(matrix)f
22460 (elemen)m(ts)h(giv)m(en)g(in)g(the)g(literature)f(are)h(often)g(v)-5
22461 b(alid)31 b(only)g(when)0 632 y(the)f(resonances)h(are)f(almost)d(on)j
22462 (the)g(mass)f(shell,)h(since)f(some)h(graphs)g(ha)m(v)m(e)g(b)s(een)h
22463 (omitted.)41 b(As)30 b(an)0 740 y(example,)e(the)f(pro)s(cess)h(q)p
22464 952 687 52 4 v(q)h Fn(!)e Fw(e)1202 704 y Fk(\000)p 1262
22465 687 55 4 v 1262 740 a Fj(\027)1316 755 y Fl(e)1352 740
22466 y Fj(\026)1411 704 y Fl(+)1469 740 y Fj(\027)1517 755
22467 y Fh(\026)1591 740 y Fw(is)g(dominated)f(b)m(y)i(q)p
22468 2342 687 52 4 v(q)g Fn(!)f Fw(W)2649 704 y Fk(\000)2709
22469 740 y Fw(W)2810 704 y Fl(+)2897 740 y Fw(when)h(eac)m(h)g(of)e(the)i(t)
22470 m(w)m(o)0 848 y(lepton)35 b(pairs)g(is)g(close)h(to)f
22471 Fj(m)1088 863 y Fl(W)1201 848 y Fw(in)g(mass,)i(but)e(in)g(general)g
22472 (also)g(receiv)m(es)i(con)m(tributions)e(e.g.)53 b(from)0
22473 957 y(q)p 51 904 V(q)29 b Fn(!)e Fw(Z)318 920 y Fl(0)385
22474 957 y Fn(!)g Fw(e)555 920 y Fl(+)614 957 y Fw(e)657 920
22475 y Fk(\000)717 957 y Fw(,)j(follo)m(w)m(ed)e(b)m(y)i(e)1322
22476 920 y Fl(+)1409 957 y Fn(!)p 1536 904 55 4 v 27 w Fj(\027)1591
22477 972 y Fl(e)1626 957 y Fw(W)1727 920 y Fl(+)1816 957 y
22478 Fw(and)f(W)2103 920 y Fl(+)2191 957 y Fn(!)e Fj(\026)2377
22479 920 y Fl(+)2436 957 y Fj(\027)2484 972 y Fh(\026)2530
22480 957 y Fw(.)43 b(The)30 b(latter)e(con)m(tributions)g(are)0
22481 1065 y(neglected)33 b(in)f(cross)h(sections)h(giv)m(en)e(in)g(the)h
22482 (zero-width)g(appro)m(ximation.)146 1173 y(Pro)s(cesses)e(with)e(one)g
22483 (\014nal-state)f(resonance)i(and)f(another)f(ordinary)g(\014nal-state)g
22484 (pro)s(duct,)i(e.g.)0 1282 y(qg)35 b Fn(!)e Fw(W)369
22485 1245 y Fl(+)429 1282 y Fw(q)480 1245 y Fk(0)504 1282
22486 y Fw(,)k(are)f(treated)g(in)f(the)i(same)f(spirit)e(as)j(the)f(2)d
22487 Fn(!)g Fw(2)j(pro)s(cesses)i(with)e(t)m(w)m(o)h(resonances,)0
22488 1390 y(except)d(that)f(only)f(one)g(mass)h(need)h(b)s(e)e(selected)i
22489 (according)e(to)g(a)h(Breit{Wigner.)0 1663 y Fp(7.4)135
22490 b(Cross-section)46 b(Calculations)0 1836 y Fw(In)c(the)g(program,)h
22491 (the)g(v)-5 b(ariables)40 b(used)j(in)e(the)i(generation)e(of)g(a)h(2)h
22492 Fn(!)g Fw(2)f(pro)s(cess)h(are)f Fj(\034)11 b Fw(,)44
22493 b Fj(y)h Fw(and)0 1959 y Fj(z)35 b Fw(=)c(cos)342 1933
22494 y(^)334 1959 y Fj(\022)s Fw(.)49 b(F)-8 b(or)33 b(a)h(2)c
22495 Fn(!)g Fw(1)k(pro)s(cess,)i(the)f Fj(z)k Fw(v)-5 b(ariable)33
22496 b(can)h(b)s(e)h(in)m(tegrated)f(out,)g(and)h(need)g(therefore)0
22497 2067 y(not)h(b)s(e)g(generated)h(as)f(part)g(of)f(the)i(hard)f(pro)s
22498 (cess,)i(except)g(when)f(the)f(allo)m(w)m(ed)f(angular)g(range)h(of)0
22499 2176 y(deca)m(ys)30 b(is)e(restricted.)42 b(In)29 b(unresolv)m(ed)g
22500 (lepton)f(b)s(eams,)h(i.e.)41 b(when)30 b Fj(f)2560 2139
22501 y Fl(e)2549 2200 y(e)2595 2176 y Fw(\()p Fj(x)p Fw(\))e(=)f
22502 Fj(\016)t Fw(\()p Fj(x)13 b Fn(\000)g Fw(1\),)30 b(the)f(v)-5
22503 b(ariables)0 2284 y Fj(\034)46 b Fw(and/or)34 b Fj(y)j
22504 Fw(ma)m(y)d(b)s(e)g(in)m(tegrated)g(out.)49 b(W)-8 b(e)35
22505 b(will)c(co)m(v)m(er)36 b(all)c(these)k(sp)s(ecial)d(cases)j(to)m(w)m
22506 (ards)f(the)g(end)0 2392 y(of)d(the)h(section,)g(and)g(here)g(concen)m
22507 (trate)h(on)e(`standard')i(2)27 b Fn(!)g Fw(2)33 b(and)f(2)c
22508 Fn(!)f Fw(1)32 b(pro)s(cesses.)0 2639 y Fo(7.4.1)112
22509 b(The)38 b(simple)e Fw(2)27 b Fn(!)h Fw(2)37 b Fo(pro)s(cesses)0
22510 2812 y Fw(In)31 b(the)g(spirit)e(of)h(section)g(4.1,)h(w)m(e)g(w)m(an)m
22511 (t)g(to)g(select)g(simple)d(functions)j(suc)m(h)h(that)e(the)h(true)f
22512 Fj(\034)11 b Fw(,)32 b Fj(y)h Fw(and)0 2920 y Fj(z)38
22513 b Fw(dep)s(endence)d(of)e(the)g(cross)h(sections)g(is)e(appro)m
22514 (ximately)g(mo)s(delled.)43 b(In)33 b(particular,)e(\(almost\))h(all)0
22515 3029 y(conceiv)-5 b(able)24 b(kinematical)d(p)s(eaks)k(should)f(b)s(e)h
22516 (represen)m(ted)h(b)m(y)f(separate)g(terms)f(in)g(the)g(appro)m(ximate)
22517 0 3137 y(form)m(ulae.)39 b(If)25 b(this)g(can)h(b)s(e)f(ac)m(hiev)m
22518 (ed,)j(the)d(ratio)f(of)g(the)i(correct)g(to)e(the)i(appro)m(ximate)e
22519 (cross)i(sections)0 3245 y(will)k(not)j(\015uctuate)g(to)s(o)f(m)m(uc)m
22520 (h,)h(but)g(allo)m(w)e(reasonable)h(Mon)m(te)i(Carlo)d(e\016ciency)-8
22521 b(.)146 3354 y(Therefore)35 b(the)f(v)-5 b(ariables)33
22522 b(are)h(generated)g(according)f(to)h(the)g(distributions)e
22523 Fj(h)3130 3369 y Fh(\034)3174 3354 y Fw(\()p Fj(\034)11
22524 b Fw(\),)34 b Fj(h)3420 3369 y Fh(y)3462 3354 y Fw(\()p
22525 Fj(y)t Fw(\))e(and)0 3462 y Fj(h)56 3477 y Fh(z)96 3462
22526 y Fw(\()p Fj(z)t Fw(\),)h(where)h(normally)468 3721 y
22527 Fj(h)524 3736 y Fh(\034)567 3721 y Fw(\()p Fj(\034)11
22528 b Fw(\))84 b(=)955 3654 y Fj(c)997 3669 y Fl(1)p 949
22529 3698 94 4 v 949 3789 a Fn(I)1003 3804 y Fl(1)1081 3654
22530 y Fw(1)p 1079 3698 54 4 v 1079 3789 a Fj(\034)1164 3721
22531 y Fw(+)1279 3654 y Fj(c)1321 3669 y Fl(2)p 1272 3698
22532 94 4 v 1272 3789 a Fn(I)1326 3804 y Fl(2)1425 3654 y
22533 Fw(1)p 1403 3698 93 4 v 1403 3789 a Fj(\034)1456 3761
22534 y Fl(2)1528 3721 y Fw(+)1642 3654 y Fj(c)1684 3669 y
22535 Fl(3)p 1636 3698 94 4 v 1636 3789 a Fn(I)1690 3804 y
22536 Fl(3)1943 3654 y Fw(1)p 1766 3698 404 4 v 1766 3789 a
22537 Fj(\034)11 b Fw(\()p Fj(\034)34 b Fw(+)22 b Fj(\034)2073
22538 3804 y Fh(R)2131 3789 y Fw(\))2201 3721 y(+)2315 3654
22539 y Fj(c)2357 3669 y Fl(4)p 2309 3698 94 4 v 2309 3789
22540 a Fn(I)2363 3804 y Fl(4)2846 3654 y Fw(1)p 2439 3698
22541 862 4 v 2439 3789 a(\()p Fj(s\034)34 b Fn(\000)22 b Fj(m)2783
22542 3755 y Fl(2)2783 3814 y Fh(R)2841 3789 y Fw(\))2879 3761
22543 y Fl(2)2941 3789 y Fw(+)g Fj(m)3124 3755 y Fl(2)3124
22544 3814 y Fh(R)3182 3789 y Fw(\000)3243 3755 y Fl(2)3243
22545 3814 y Fh(R)939 3979 y Fw(+)1031 3912 y Fj(c)1073 3927
22546 y Fl(5)p 1025 3956 94 4 v 1025 4047 a Fn(I)1079 4062
22547 y Fl(5)1343 3912 y Fw(1)p 1155 3956 426 4 v 1155 4047
22548 a Fj(\034)11 b Fw(\()p Fj(\034)34 b Fw(+)22 b Fj(\034)1462
22549 4062 y Fh(R)1515 4043 y Fd(0)1542 4047 y Fw(\))1612 3979
22550 y(+)1726 3912 y Fj(c)1768 3927 y Fl(6)p 1720 3956 94
22551 4 v 1720 4047 a Fn(I)1774 4062 y Fl(6)2290 3912 y Fw(1)p
22552 1850 3956 929 4 v 1850 4047 a(\()p Fj(s\034)34 b Fn(\000)23
22553 b Fj(m)2195 4013 y Fl(2)2195 4073 y Fh(R)2248 4054 y
22554 Fd(0)2275 4047 y Fw(\))2313 4019 y Fl(2)2375 4047 y Fw(+)f
22555 Fj(m)2558 4013 y Fl(2)2558 4073 y Fh(R)2611 4054 y Fd(0)2638
22556 4047 y Fw(\000)2699 4013 y Fl(2)2699 4073 y Fh(R)2752
22557 4054 y Fd(0)2821 3979 y Fj(;)758 b Fw(\(81\))472 4261
22558 y Fj(h)528 4276 y Fh(y)570 4261 y Fw(\()p Fj(y)t Fw(\))82
22559 b(=)955 4194 y Fj(c)997 4209 y Fl(1)p 949 4238 94 4 v
22560 949 4330 a Fn(I)1003 4345 y Fl(1)1069 4261 y Fw(\()p
22561 Fj(y)25 b Fn(\000)e Fj(y)1328 4276 y Fl(min)1449 4261
22562 y Fw(\))f(+)1623 4194 y Fj(c)1665 4209 y Fl(2)p 1617
22563 4238 V 1617 4330 a Fn(I)1671 4345 y Fl(2)1737 4261 y
22564 Fw(\()p Fj(y)1823 4276 y Fl(max)1981 4261 y Fn(\000)g
22565 Fj(y)t Fw(\))f(+)2305 4194 y Fj(c)2347 4209 y Fl(3)p
22566 2299 4238 V 2299 4330 a Fn(I)2353 4345 y Fl(3)2531 4194
22567 y Fw(1)p 2430 4238 253 4 v 2430 4330 a(cosh)c Fj(y)2725
22568 4261 y(;)854 b Fw(\(82\))475 4538 y Fj(h)531 4553 y Fh(z)571
22569 4538 y Fw(\()p Fj(z)t Fw(\))84 b(=)955 4470 y Fj(c)997
22570 4485 y Fl(1)p 949 4514 94 4 v 949 4606 a Fn(I)1003 4621
22571 y Fl(1)1074 4538 y Fw(+)1189 4470 y Fj(c)1231 4485 y
22572 Fl(2)p 1182 4514 V 1182 4606 a Fn(I)1236 4621 y Fl(2)1400
22573 4470 y Fw(1)p 1313 4514 223 4 v 1313 4606 a Fj(a)22 b
22574 Fn(\000)h Fj(z)1567 4538 y Fw(+)1682 4470 y Fj(c)1724
22575 4485 y Fl(3)p 1675 4514 94 4 v 1675 4606 a Fn(I)1729
22576 4621 y Fl(3)1892 4470 y Fw(1)p 1806 4514 222 4 v 1806
22577 4606 a Fj(a)f Fw(+)g Fj(z)2059 4538 y Fw(+)2173 4470
22578 y Fj(c)2215 4485 y Fl(4)p 2167 4514 94 4 v 2167 4606
22579 a Fn(I)2221 4621 y Fl(4)2442 4470 y Fw(1)p 2297 4514
22580 339 4 v 2297 4606 a(\()p Fj(a)g Fn(\000)h Fj(z)t Fw(\))2595
22581 4577 y Fl(2)2667 4538 y Fw(+)2781 4470 y Fj(c)2823 4485
22582 y Fl(5)p 2775 4514 94 4 v 2775 4606 a Fn(I)2829 4621
22583 y Fl(5)3049 4470 y Fw(1)p 2905 4514 337 4 v 2905 4606
22584 a(\()p Fj(a)g Fw(+)f Fj(z)t Fw(\))3202 4577 y Fl(2)3284
22585 4538 y Fj(:)295 b Fw(\(83\))0 4803 y(Here)37 b(eac)m(h)f(term)g(is)f
22586 (separately)h(in)m(tegrable,)g(with)g(an)f(in)m(v)m(ertible)g(primitiv)
22587 m(e)f(function,)i(suc)m(h)i(that)0 4911 y(generation)31
22588 b(of)h Fj(\034)11 b Fw(,)33 b Fj(y)i Fw(and)d Fj(z)37
22589 b Fw(separately)c(is)e(a)h(standard)h(task,)g(as)f(describ)s(ed)h(in)e
22590 (section)i(4.1.)43 b(In)32 b(the)0 5019 y(follo)m(wing)e(w)m(e)35
22591 b(describ)s(e)f(the)f(details)f(of)h(the)h(sc)m(heme,)g(including)e
22592 (the)h(meaning)f(of)h(the)g(co)s(e\016cien)m(ts)0 5128
22593 y Fj(c)42 5143 y Fh(i)103 5128 y Fw(and)f Fn(I)346 5143
22594 y Fh(i)375 5128 y Fw(,)g(whic)m(h)h(are)g(separate)g(for)f
22595 Fj(\034)11 b Fw(,)34 b Fj(y)h Fw(and)e Fj(z)t Fw(.)146
22596 5236 y(The)38 b(\014rst)g(v)-5 b(ariable)35 b(to)i(b)s(e)g(selected)h
22597 (is)f Fj(\034)11 b Fw(.)57 b(The)38 b(range)f(of)f(allo)m(w)m(ed)h(v)-5
22598 b(alues,)38 b Fj(\034)3103 5251 y Fl(min)3260 5236 y
22599 Fn(\024)e Fj(\034)47 b Fn(\024)36 b Fj(\034)3617 5251
22600 y Fl(max)3752 5236 y Fw(,)0 5344 y(is)d(generally)f(constrained)i(b)m
22601 (y)g(a)f(n)m(um)m(b)s(er)h(of)e(user-de\014ned)k(requiremen)m(ts.)46
22602 b(A)34 b(cut)f(on)g(the)h(allo)m(w)m(ed)0 5453 y(mass)c(range)f(is)h
22603 (directly)f(re\015ected)i(in)e Fj(\034)11 b Fw(,)31 b(a)f(cut)g(on)f
22604 (the)i Fj(p)2147 5468 y Fk(?)2235 5453 y Fw(range)f(indirectly)-8
22605 b(.)41 b(The)31 b(\014rst)f(t)m(w)m(o)h(terms)0 5561
22606 y(of)c Fj(h)162 5576 y Fh(\034)234 5561 y Fw(are)g(in)m(tended)i(to)f
22607 (represen)m(t)i(a)d(smo)s(oth)g Fj(\034)40 b Fw(dep)s(endence,)31
22608 b(as)d(generally)f(obtained)g(in)g(pro)s(cesses)0 5669
22609 y(whic)m(h)38 b(do)f(not)g(receiv)m(e)h(con)m(tributions)e(from)g
22610 Fj(s)p Fw(-c)m(hannel)h(resonances.)59 b(Also)37 b Fj(s)p
22611 Fw(-c)m(hannel)g(exc)m(hange)1841 5953 y(96)p eop
22612 %%Page: 97 103
22613 97 102 bop 0 -18 a Fw(of)36 b(essen)m(tially)g(massless)h(particles)e
22614 (\()p Fj(\015)5 b Fw(,)38 b(g)q(,)f(ligh)m(t)e(quarks)j(and)e
22615 (leptons\))h(are)f(accoun)m(ted)i(for,)f(since)0 90 y(these)47
22616 b(do)e(not)g(pro)s(duce)h(an)m(y)g(separate)h(p)s(eaks)f(at)f(non-v)-5
22617 b(anishing)44 b Fj(\034)11 b Fw(.)82 b(The)47 b(last)e(four)g(terms)g
22618 (of)0 198 y Fj(h)56 213 y Fh(\034)139 198 y Fw(are)40
22619 b(there)g(to)f(catc)m(h)i(the)f(p)s(eaks)h(in)e(the)h(cross)g(section)g
22620 (from)f(resonance)i(pro)s(duction.)64 b(These)0 307 y(terms)28
22621 b(are)g(only)g(included)f(when)i(needed.)44 b(Eac)m(h)29
22622 b(resonance)g(is)f(represen)m(ted)j(b)m(y)e(t)m(w)m(o)f(pieces,)i(a)e
22623 (\014rst)0 415 y(to)37 b(co)m(v)m(er)h(the)f(in)m(terference)h(with)f
22624 (graphs)g(whic)m(h)g(p)s(eak)h(at)e Fj(\034)47 b Fw(=)35
22625 b(0,)j(plus)e(the)i(v)-5 b(ariation)34 b(of)j(parton)0
22626 523 y(distributions,)25 b(and)g(a)f(second)j(to)d(appro)m(ximate)g(the)
22627 h(Breit{Wigner)f(shap)s(e)h(of)f(the)i(resonance)g(itself.)0
22628 632 y(The)h(subscripts)h Fj(R)f Fw(and)g Fj(R)1005 595
22629 y Fk(0)1054 632 y Fw(denote)g(v)-5 b(alues)27 b(p)s(ertaining)d(to)i
22630 (the)h(t)m(w)m(o)g(resonances,)i(with)d Fj(\034)3325
22631 647 y Fh(R)3411 632 y Fw(=)i Fj(m)3600 595 y Fl(2)3600
22632 656 y Fh(R)3658 632 y Fj(=s)p Fw(.)0 740 y(Curren)m(tly)34
22633 b(there)g(is)f(only)g(one)h(pro)s(cess)g(where)h(the)f(full)d
22634 (structure)k(with)e(t)m(w)m(o)h(resonances)h(is)e(used,)0
22635 848 y(namely)c(f)p 373 769 37 4 v 7 w(f)34 b Fn(!)27
22636 b Fj(\015)620 812 y Fk(\003)660 848 y Fj(=)p Fw(Z)769
22637 812 y Fl(0)807 848 y Fj(=)p Fw(Z)916 812 y Fk(0)p Fl(0)974
22638 848 y Fw(.)43 b(Otherwise)30 b(either)g(one)f(or)h(no)f(resonance)i(p)s
22639 (eak)f(is)f(tak)m(en)i(in)m(to)e(accoun)m(t.)146 957
22640 y(The)41 b(kinematically)36 b(allo)m(w)m(ed)j(range)g(of)g
22641 Fj(y)k Fw(v)-5 b(alues)39 b(is)g(constrained)h(b)m(y)g
22642 Fj(\034)11 b Fw(,)42 b Fn(j)p Fj(y)t Fn(j)c(\024)h(\000)3340
22643 917 y Fl(1)p 3340 933 36 4 v 3340 991 a(2)3403 957 y
22644 Fw(ln)16 b Fj(\034)11 b Fw(,)41 b(and)0 1065 y(y)m(ou)g(ma)m(y)e(imp)s
22645 (ose)g(additional)e(cuts.)67 b(Therefore)41 b(the)g(allo)m(w)m(ed)e
22646 (range)h Fj(y)2781 1080 y Fl(min)2942 1065 y Fn(\024)h
22647 Fj(y)j Fn(\024)c Fj(y)3317 1080 y Fl(max)3492 1065 y
22648 Fw(is)g(only)0 1173 y(constructed)31 b(after)f Fj(\034)41
22649 b Fw(has)30 b(b)s(een)h(selected.)44 b(The)30 b(\014rst)h(t)m(w)m(o)f
22650 (terms)g(of)f Fj(h)2644 1188 y Fh(y)2715 1173 y Fw(giv)m(e)h(a)g
22651 (fairly)e(\015at)h Fj(y)k Fw(dep)s(en-)0 1282 y(dence)c(|)f(for)f(pro)s
22652 (cesses)j(whic)m(h)e(are)g(symmetric)f(in)h Fj(y)i Fn($)e(\000)p
22653 Fj(y)t Fw(,)g(they)h(will)d(add)i(to)f(giv)m(e)h(a)g(completely)0
22654 1390 y(\015at)38 b Fj(y)i Fw(sp)s(ectrum)f(b)s(et)m(w)m(een)g(the)g
22655 (allo)m(w)m(ed)e(limits.)55 b(In)39 b(principle,)e(the)h(natural)f(sub)
22656 s(division)g(w)m(ould)0 1498 y(ha)m(v)m(e)d(b)s(een)f(one)f(term)g
22657 (\015at)g(in)g Fj(y)j Fw(and)d(one)h(forw)m(ard{bac)m(kw)m(ard)h
22658 (asymmetric,)d(i.e.)43 b(prop)s(ortional)30 b(to)0 1607
22659 y Fj(y)t Fw(.)54 b(The)38 b(latter)d(is)h(disallo)m(w)m(ed)g(b)m(y)h
22660 (the)g(requiremen)m(t)g(of)f(p)s(ositivit)m(y)-8 b(,)36
22661 b(ho)m(w)m(ev)m(er.)58 b(The)37 b Fj(y)28 b Fn(\000)e
22662 Fj(y)3465 1622 y Fl(min)3622 1607 y Fw(and)0 1715 y Fj(y)48
22663 1730 y Fl(max)211 1715 y Fn(\000)i Fj(y)44 b Fw(terms)d(actually)f
22664 (used)i(giv)m(e)f(the)h(same)f(amoun)m(t)f(of)h(freedom,)h(but)g(resp)s
22665 (ect)g(p)s(ositivit)m(y)-8 b(.)0 1823 y(The)30 b(third)f(term)g(is)f(p)
22666 s(eak)m(ed)j(at)e(around)g Fj(y)i Fw(=)d(0,)h(and)h(represen)m(ts)i
22667 (the)d(bias)g(of)g(parton)g(distributions)0 1932 y(to)m(w)m(ards)34
22668 b(this)e(region.)146 2055 y(The)j(allo)m(w)m(ed)e Fj(z)h
22669 Fw(=)c(cos)1036 2029 y(^)1028 2055 y Fj(\022)37 b Fw(range)c(is)h(na)
22670 -11 b(\177)-38 b(\020v)m(ely)33 b Fn(\000)p Fw(1)d Fn(\024)g
22671 Fj(z)k Fn(\024)c Fw(1.)47 b(Ho)m(w)m(ev)m(er,)36 b(most)d(cross)i
22672 (sections)f(are)0 2163 y(div)m(ergen)m(t)f(for)g Fj(z)f
22673 Fn(!)c(\006)p Fw(1,)33 b(so)f(some)h(kind)f(of)h(regularization)c(is)k
22674 (necessary)-8 b(.)46 b(Normally)30 b(one)j(requires)0
22675 2272 y Fj(p)49 2287 y Fk(?)145 2272 y Fn(\025)j Fj(p)307
22676 2287 y Fk(?)p Fl(min)484 2272 y Fw(,)j(whic)m(h)f(translates)g(in)m(to)
22677 f Fj(z)1537 2235 y Fl(2)1614 2272 y Fn(\024)g Fw(1)25
22678 b Fn(\000)h Fw(4)p Fj(p)2003 2235 y Fl(2)2003 2296 y
22679 Fk(?)p Fl(min)2180 2272 y Fj(=)p Fw(\()p Fj(\034)11 b(s)p
22680 Fw(\))38 b(for)f(massless)h(outgoing)e(particles.)0 2380
22681 y(Since)e(again)e(the)i(limits)d(dep)s(end)j(on)g Fj(\034)11
22682 b Fw(,)34 b(the)g(selection)f(of)h Fj(z)k Fw(is)33 b(done)h(after)f
22683 (that)h(of)f Fj(\034)11 b Fw(.)47 b(Additional)0 2488
22684 y(requiremen)m(ts)30 b(ma)m(y)e(constrain)h(the)g(range)g(further.)43
22685 b(In)29 b(particular,)f(a)g Fj(p)2713 2503 y Fk(?)p Fl(max)2932
22686 2488 y Fw(constrain)m(t)h(ma)m(y)g(split)0 2597 y(the)37
22687 b(allo)m(w)m(ed)f Fj(z)41 b Fw(range)c(in)m(to)f(t)m(w)m(o,)i(i.e.)56
22688 b Fj(z)1523 2612 y Fk(\000)p Fl(min)1734 2597 y Fn(\024)35
22689 b Fj(z)40 b Fn(\024)35 b Fj(z)2088 2612 y Fk(\000)p Fl(max)2315
22690 2597 y Fw(or)i Fj(z)2484 2612 y Fl(+min)2695 2597 y Fn(\024)e
22691 Fj(z)40 b Fn(\024)35 b Fj(z)3049 2612 y Fl(+max)3240
22692 2597 y Fw(.)55 b(An)37 b(unsplit)0 2705 y(range)29 b(is)g(represen)m
22693 (ted)i(b)m(y)f Fj(z)1048 2720 y Fk(\000)p Fl(max)1267
22694 2705 y Fw(=)d Fj(z)1415 2720 y Fl(+min)1620 2705 y Fw(=)h(0.)42
22695 b(F)-8 b(or)28 b(massless)i(outgoing)d(particles)h(the)i(parameter)0
22696 2823 y Fj(a)e Fw(=)f(1)c(in)f Fj(h)414 2838 y Fh(z)454
22697 2823 y Fw(,)j(suc)m(h)g(that)d(the)i(\014v)m(e)g(terms)f(represen)m(t)i
22698 (a)e(piece)g(\015at)g(in)f(angle)g(and)h(pieces)h(p)s(eak)m(ed)g(as)g
22699 (1)p Fj(=)3719 2804 y Fw(^)3718 2823 y Fj(t)o Fw(,)0
22700 2943 y(1)p Fj(=)6 b Fw(^)-55 b Fj(u)o Fw(,)36 b(1)p Fj(=)315
22701 2925 y Fw(^)314 2943 y Fj(t)349 2907 y Fl(2)389 2943
22702 y Fw(,)g(and)f(1)p Fj(=)6 b Fw(^)-55 b Fj(u)798 2907
22703 y Fl(2)837 2943 y Fw(,)36 b(resp)s(ectiv)m(ely)-8 b(.)53
22704 b(F)-8 b(or)35 b(non-v)-5 b(anishing)34 b(masses)i(one)g(has)g
22705 Fj(a)d Fw(=)f(1)24 b(+)g(2)p Fj(m)3454 2907 y Fl(2)3454
22706 2968 y(3)3494 2943 y Fj(m)3579 2907 y Fl(2)3579 2968
22707 y(4)3618 2943 y Fj(=)t Fw(^)-53 b Fj(s)3713 2907 y Fl(2)3752
22708 2943 y Fw(.)0 3064 y(In)32 b(this)f(case,)i(the)f(full)d(range)j
22709 Fn(\000)p Fw(1)c Fn(\024)g Fj(z)33 b Fn(\024)28 b Fw(1)j(is)g
22710 (therefore)h(a)m(v)-5 b(ailable)29 b(|)i(ph)m(ysically)-8
22711 b(,)31 b(the)h(standard)3746 3046 y(^)3744 3064 y Fj(t)0
22712 3173 y Fw(and)39 b(^)-55 b Fj(u)32 b Fw(singularities)e(are)i
22713 (regularized)g(b)m(y)h(the)g(masses)h Fj(m)2192 3188
22714 y Fl(3)2264 3173 y Fw(and)f Fj(m)2539 3188 y Fl(4)2578
22715 3173 y Fw(.)146 3281 y(F)-8 b(or)48 b(eac)m(h)h(of)e(the)i(terms,)j
22716 (the)d Fn(I)1438 3296 y Fh(i)1514 3281 y Fw(co)s(e\016cien)m(ts)h
22717 (represen)m(t)g(the)e(in)m(tegral)f(o)m(v)m(er)i(the)g(quan)m(tit)m(y)0
22718 3389 y(m)m(ultiplying)29 b(the)k(co)s(e\016cien)m(t)h
22719 Fj(c)1186 3404 y Fh(i)1214 3389 y Fw(;)e(th)m(us,)i(for)e(instance:)713
22720 3653 y Fj(h)769 3668 y Fh(\034)840 3653 y Fw(:)166 b
22721 Fn(I)1087 3668 y Fl(1)1154 3653 y Fw(=)1258 3536 y Fg(Z)1367
22722 3586 y Fw(d)p Fj(\034)p 1367 3630 108 4 v 1394 3721 a(\034)1513
22723 3653 y Fw(=)27 b(ln)1714 3532 y Fg(\022)1785 3586 y Fj(\034)1827
22724 3601 y Fl(max)p 1785 3630 178 4 v 1792 3721 a Fj(\034)1834
22725 3736 y Fl(min)1973 3532 y Fg(\023)2083 3653 y Fj(;)1033
22726 3906 y Fn(I)1087 3921 y Fl(2)1154 3906 y Fw(=)1258 3789
22727 y Fg(Z)1367 3839 y Fw(d)p Fj(\034)p 1367 3883 108 4 v
22728 1374 3975 a(\034)1427 3946 y Fl(2)1513 3906 y Fw(=)1684
22729 3839 y(1)p 1626 3883 165 4 v 1626 3975 a Fj(\034)1668
22730 3990 y Fl(min)1822 3906 y Fn(\000)1996 3839 y Fw(1)p
22731 1932 3883 178 4 v 1932 3975 a Fj(\034)1974 3990 y Fl(max)2152
22732 3906 y Fw(;)714 4154 y Fj(h)770 4169 y Fh(y)840 4154
22733 y Fw(:)166 b Fn(I)1087 4169 y Fl(1)1154 4154 y Fw(=)1258
22734 4037 y Fg(Z)1341 4154 y Fw(\()p Fj(y)25 b Fn(\000)e Fj(y)1600
22735 4169 y Fl(min)1721 4154 y Fw(\))17 b(d)p Fj(y)30 b Fw(=)2022
22736 4087 y(1)p 2022 4131 49 4 v 2022 4223 a(2)2081 4154 y(\()p
22737 Fj(y)2167 4169 y Fl(max)2324 4154 y Fn(\000)22 b Fj(y)2471
22738 4169 y Fl(min)2593 4154 y Fw(\))2631 4113 y Fl(2)2703
22739 4154 y Fw(;)716 4373 y Fj(h)772 4388 y Fh(z)840 4373
22740 y Fw(:)166 b Fn(I)1087 4388 y Fl(1)1154 4373 y Fw(=)1258
22741 4256 y Fg(Z)1357 4373 y Fw(d)p Fj(z)33 b Fw(=)27 b(\()p
22742 Fj(z)1675 4388 y Fk(\000)p Fl(max)1888 4373 y Fn(\000)c
22743 Fj(z)2033 4388 y Fk(\000)p Fl(min)2210 4373 y Fw(\))f(+)g(\()p
22744 Fj(z)2451 4388 y Fl(+max)2664 4373 y Fn(\000)g Fj(z)2808
22745 4388 y Fl(+min)2985 4373 y Fw(\))p Fj(;)1033 4623 y Fn(I)1087
22746 4638 y Fl(2)1154 4623 y Fw(=)1258 4506 y Fg(Z)1427 4556
22747 y Fw(d)p Fj(z)p 1367 4600 223 4 v 1367 4691 a(a)h Fn(\000)f
22748 Fj(z)1628 4623 y Fw(=)27 b(ln)1829 4477 y Fg( )1912 4556
22749 y Fw(\()p Fj(a)22 b Fn(\000)g Fj(z)2167 4571 y Fk(\000)p
22750 Fl(min)2344 4556 y Fw(\)\()p Fj(a)h Fn(\000)f Fj(z)2638
22751 4571 y Fl(+min)2815 4556 y Fw(\))p 1905 4600 956 4 v
22752 1905 4691 a(\()p Fj(a)g Fn(\000)h Fj(z)2161 4706 y Fk(\000)p
22753 Fl(max)2351 4691 y Fw(\)\()p Fj(a)g Fn(\000)f Fj(z)2645
22754 4706 y Fk(\000)p Fl(min)2822 4691 y Fw(\))2870 4477 y
22755 Fg(!)2985 4623 y Fj(:)594 b Fw(\(84\))146 4900 y(The)45
22756 b Fj(c)400 4915 y Fh(i)471 4900 y Fw(co)s(e\016cien)m(ts)f(are)g
22757 (normalized)d(to)i(unit)g(sum)g(for)g Fj(h)2438 4915
22758 y Fh(\034)2481 4900 y Fw(,)j Fj(h)2610 4915 y Fh(y)2695
22759 4900 y Fw(and)d Fj(h)2951 4915 y Fh(z)3034 4900 y Fw(separately)-8
22760 b(.)76 b(They)0 5008 y(ha)m(v)m(e)40 b(a)e(simple)e(in)m(terpretation,)
22761 j(as)f(the)h(probabilit)m(y)d(for)i(eac)m(h)h(of)f(the)h(terms)f(to)g
22762 (b)s(e)g(used)i(in)d(the)0 5116 y(preliminary)d(selection)i(of)f
22763 Fj(\034)11 b Fw(,)38 b Fj(y)i Fw(and)c Fj(z)t Fw(,)i(resp)s(ectiv)m
22764 (ely)-8 b(.)56 b(The)37 b(v)-5 b(ariation)34 b(of)i(the)h(cross)g
22765 (section)f(o)m(v)m(er)0 5225 y(the)d(allo)m(w)m(ed)f(phase)i(space)g
22766 (is)e(explored)i(in)e(the)h(initialization)27 b(pro)s(cedure)34
22767 b(of)f(a)f Fm(Pythia)h Fw(run,)g(and)0 5333 y(based)k(on)f(this)g(kno)m
22768 (wledge)h(the)g Fj(c)1297 5348 y Fh(i)1361 5333 y Fw(are)f(optimized)f
22769 (so)h(as)g(to)g(giv)m(e)g(functions)g Fj(h)3034 5348
22770 y Fh(\034)3078 5333 y Fw(,)h Fj(h)3198 5348 y Fh(y)3275
22771 5333 y Fw(and)g Fj(h)3525 5348 y Fh(z)3601 5333 y Fw(that)0
22772 5441 y(closely)30 b(follo)m(w)e(the)i(general)g(b)s(eha)m(viour)f(of)h
22773 (the)g(true)h(cross)g(section.)42 b(F)-8 b(or)30 b(instance,)g(the)h
22774 (co)s(e\016cien)m(t)0 5550 y Fj(c)42 5565 y Fl(4)115
22775 5550 y Fw(in)h Fj(h)285 5565 y Fh(\034)361 5550 y Fw(is)h(to)g(b)s(e)g
22776 (made)g(larger)f(the)i(more)e(the)i(total)e(cross)i(section)f(is)g
22777 (dominated)f(b)m(y)i(the)f(region)0 5658 y(around)g(the)g(resonance)h
22778 (mass.)1841 5953 y(97)p eop
22779 %%Page: 98 104
22780 98 103 bop 146 -18 a Fw(The)35 b(phase-space)h(p)s(oin)m(ts)e(tested)h
22781 (at)f(initialization)28 b(are)35 b(put)f(on)g(a)g(grid,)f(with)h(the)g
22782 (n)m(um)m(b)s(er)h(of)0 90 y(p)s(oin)m(ts)40 b(in)f(eac)m(h)j
22783 (dimension)d(giv)m(en)h(b)m(y)h(the)g(n)m(um)m(b)s(er)g(of)e(terms)i
22784 (in)e(the)i(resp)s(ectiv)m(e)h Fj(h)e Fw(expression,)0
22785 198 y(and)34 b(with)g(the)g(p)s(osition)e(of)i(eac)m(h)h(p)s(oin)m(t)e
22786 (giv)m(en)h(b)m(y)h(the)f(median)f(v)-5 b(alue)34 b(of)f(the)i
22787 (distribution)d(of)h(one)0 307 y(of)e(the)i(terms.)43
22788 b(F)-8 b(or)31 b(instance,)h(the)g(d)p Fj(\034)11 b(=\034)44
22789 b Fw(distribution)30 b(giv)m(es)i(a)f(median)g(p)s(oin)m(t)g(at)3138
22790 243 y Fn(p)p 3221 243 342 4 v 64 x Fj(\034)3263 322 y
22791 Fl(min)3386 307 y Fj(\034)3428 322 y Fl(max)3563 307
22792 y Fw(,)h(and)0 426 y(d)p Fj(\034)11 b(=\034)209 389 y
22793 Fl(2)284 426 y Fw(has)35 b(the)g(median)e(2)p Fj(\034)1064
22794 441 y Fl(min)1186 426 y Fj(\034)1228 441 y Fl(max)1364
22795 426 y Fj(=)p Fw(\()p Fj(\034)1493 441 y Fl(min)1638 426
22796 y Fw(+)24 b Fj(\034)1780 441 y Fl(max)1916 426 y Fw(\).)49
22797 b(Since)35 b(the)g(allo)m(w)m(ed)f Fj(y)j Fw(and)e Fj(z)k
22798 Fw(ranges)c(dep)s(end)0 534 y(on)d(the)h Fj(\034)44 b
22799 Fw(v)-5 b(alue)32 b(selected,)i(then)f(so)g(do)g(the)g(median)e(p)s
22800 (oin)m(ts)h(de\014ned)i(for)e(these)i(t)m(w)m(o)f(v)-5
22801 b(ariables.)146 642 y(With)24 b(only)g(a)g(limited)d(set)k(of)f
22802 (phase-space)i(p)s(oin)m(ts)e(studied)g(at)g(the)h(initialization,)20
22803 b(the)25 b(`optimal')0 751 y(set)i(of)e(co)s(e\016cien)m(ts)i(is)f(not)
22804 g(uniquely)g(de\014ned.)43 b(T)-8 b(o)26 b(b)s(e)g(on)g(the)g(safe)h
22805 (side,)g(40\045)f(of)g(the)g(total)f(w)m(eigh)m(t)h(is)0
22806 859 y(therefore)31 b(assigned)g(ev)m(enly)h(b)s(et)m(w)m(een)g(all)d
22807 (allo)m(w)m(ed)g Fj(c)1984 874 y Fh(i)2012 859 y Fw(,)i(whereas)h(the)f
22808 (remaining)d(60\045)j(are)f(assigned)0 967 y(according)h(to)g(the)h
22809 (relativ)m(e)f(imp)s(ortance)g(surmised,)h(under)g(the)g(constrain)m(t)
22810 g(that)f(no)h(co)s(e\016cien)m(t)g(is)0 1076 y(allo)m(w)m(ed)g(to)g
22811 (receiv)m(e)i(a)e(negativ)m(e)h(con)m(tribution)e(from)h(this)g(second)
22812 i(piece.)146 1184 y(After)41 b(a)f(preliminary)e(c)m(hoice)i(has)h(b)s
22813 (een)g(made)f(of)g Fj(\034)11 b Fw(,)43 b Fj(y)g Fw(and)d
22814 Fj(z)t Fw(,)j(it)d(is)g(necessary)i(to)e(\014nd)h(the)0
22815 1292 y(w)m(eigh)m(t)k(of)e(the)i(ev)m(en)m(t,)k(whic)m(h)c(is)f(to)g(b)
22816 s(e)h(used)g(to)f(determine)g(whether)i(to)e(k)m(eep)i(it)d(or)h
22817 (generate)0 1401 y(another)33 b(one.)43 b(Using)33 b(the)g(relation)d
22818 (d)1429 1382 y(^)1428 1401 y Fj(t)e Fw(=)k(^)-53 b Fj(s)17
22819 b(\014)1713 1416 y Fl(34)1804 1401 y Fw(d)p Fj(z)t(=)p
22820 Fw(2,)33 b(eq.)g(\(69\))f(ma)m(y)h(b)s(e)g(rewritten)f(as)264
22821 1670 y Fj(\033)87 b Fw(=)565 1553 y Fg(Z)53 b(Z)h(Z)874
22822 1603 y Fw(d)p Fj(\034)p 874 1647 108 4 v 901 1738 a(\034)1008
22823 1670 y Fw(d)p Fj(y)1144 1603 y Fw(^)-53 b Fj(s\014)1241
22824 1618 y Fl(34)p 1140 1647 176 4 v 1203 1738 a Fw(2)1326
22825 1670 y(d)p Fj(z)21 b(x)1501 1685 y Fl(1)1541 1670 y Fj(f)1589
22826 1685 y Fl(1)1628 1670 y Fw(\()p Fj(x)1721 1685 y Fl(1)1761
22827 1670 y Fj(;)c(Q)1882 1629 y Fl(2)1922 1670 y Fw(\))g
22828 Fj(x)2032 1685 y Fl(2)2071 1670 y Fj(f)2119 1685 y Fl(2)2159
22829 1670 y Fw(\()p Fj(x)2252 1685 y Fl(2)2291 1670 y Fj(;)g(Q)2412
22830 1629 y Fl(2)2452 1670 y Fw(\))2516 1603 y(d)5 b(^)-54
22831 b Fj(\033)p 2516 1647 114 4 v 2528 1744 a Fw(d)2583 1726
22832 y(^)2582 1744 y Fj(t)406 1948 y Fw(=)575 1880 y Fj(\031)p
22833 575 1924 59 4 v 581 2016 a(s)660 1830 y Fg(Z)760 1948
22834 y Fj(h)816 1963 y Fh(\034)859 1948 y Fw(\()p Fj(\034)11
22835 b Fw(\))17 b(d)p Fj(\034)1129 1830 y Fg(Z)1229 1948 y
22836 Fj(h)1285 1963 y Fh(y)1327 1948 y Fw(\()p Fj(y)t Fw(\))g(d)p
22837 Fj(y)1592 1830 y Fg(Z)1692 1948 y Fj(h)1748 1963 y Fh(z)1788
22838 1948 y Fw(\()p Fj(z)t Fw(\))g(d)p Fj(z)22 b(\014)2106
22839 1963 y Fl(34)2207 1880 y Fj(x)2262 1895 y Fl(1)2302 1880
22840 y Fj(f)2350 1895 y Fl(1)2389 1880 y Fw(\()p Fj(x)2482
22841 1895 y Fl(1)2522 1880 y Fj(;)17 b(Q)2643 1844 y Fl(2)2683
22842 1880 y Fw(\))g Fj(x)2793 1895 y Fl(2)2832 1880 y Fj(f)2880
22843 1895 y Fl(2)2919 1880 y Fw(\()p Fj(x)3012 1895 y Fl(2)3052
22844 1880 y Fj(;)g(Q)3173 1844 y Fl(2)3213 1880 y Fw(\))p
22845 2207 1924 1044 4 v 2304 2016 a Fj(\034)2357 1987 y Fl(2)2397
22846 2016 y Fj(h)2453 2031 y Fh(\034)2496 2016 y Fw(\()p Fj(\034)11
22847 b Fw(\))17 b Fj(h)2698 2031 y Fh(y)2740 2016 y Fw(\()p
22848 Fj(y)t Fw(\))g(2)p Fj(h)2990 2031 y Fh(z)3028 2016 y
22849 Fw(\()p Fj(z)t Fw(\))3291 1880 y(^)-53 b Fj(s)3333 1844
22850 y Fl(2)p 3287 1924 86 4 v 3300 2016 a Fj(\031)3392 1880
22851 y Fw(d)5 b(^)-54 b Fj(\033)p 3392 1924 114 4 v 3404 2022
22852 a Fw(d)3459 2003 y(^)3458 2022 y Fj(t)406 2250 y Fw(=)565
22853 2104 y Fg(*)642 2183 y Fj(\031)p 642 2227 59 4 v 648
22854 2318 a(s)1097 2183 y(\014)1152 2198 y Fl(34)p 737 2227
22855 850 4 v 737 2318 a Fj(\034)790 2290 y Fl(2)830 2318 y
22856 Fj(h)886 2333 y Fh(\034)929 2318 y Fw(\()p Fj(\034)11
22857 b Fw(\))17 b Fj(h)1131 2333 y Fh(y)1173 2318 y Fw(\()p
22858 Fj(y)t Fw(\))g(2)p Fj(h)1423 2333 y Fh(z)1461 2318 y
22859 Fw(\()p Fj(z)t Fw(\))1613 2250 y Fj(x)1668 2265 y Fl(1)1708
22860 2250 y Fj(f)1756 2265 y Fl(1)1796 2250 y Fw(\()p Fj(x)1889
22861 2265 y Fl(1)1929 2250 y Fj(;)g(Q)2050 2209 y Fl(2)2089
22862 2250 y Fw(\))g Fj(x)2199 2265 y Fl(2)2238 2250 y Fj(f)2286
22863 2265 y Fl(2)2326 2250 y Fw(\()p Fj(x)2419 2265 y Fl(2)2459
22864 2250 y Fj(;)g(Q)2580 2209 y Fl(2)2619 2250 y Fw(\))2688
22865 2183 y(^)-53 b Fj(s)2730 2146 y Fl(2)p 2684 2227 86 4
22866 v 2697 2318 a Fj(\031)2789 2183 y Fw(d)5 b(^)-54 b Fj(\033)p
22867 2789 2227 114 4 v 2801 2324 a Fw(d)2856 2306 y(^)2855
22868 2324 y Fj(t)2912 2104 y Fg(+)3028 2250 y Fj(:)551 b Fw(\(85\))0
22869 2532 y(In)33 b(the)f(middle)f(line,)g(a)h(factor)g(of)f(1)d(=)f
22870 Fj(h)1526 2547 y Fh(\034)1570 2532 y Fj(=h)1675 2547
22871 y Fh(\034)1750 2532 y Fw(has)33 b(b)s(een)g(in)m(tro)s(duced)f(to)g
22872 (rewrite)g(the)h Fj(\034)44 b Fw(in)m(tegral)30 b(in)0
22873 2641 y(terms)36 b(of)g(a)g(phase)h(space)g(of)e(unit)h(v)m(olume:)1719
22874 2570 y Fg(R)1791 2641 y Fj(h)1847 2656 y Fh(\034)1890
22875 2641 y Fw(\()p Fj(\034)11 b Fw(\))17 b(d)p Fj(\034)46
22876 b Fw(=)33 b(1)j(according)g(to)f(the)i(relations)e(ab)s(o)m(v)m(e.)0
22877 2749 y(Corresp)s(ondingly)29 b(for)g(the)h Fj(y)i Fw(and)e
22878 Fj(z)k Fw(in)m(tegrals.)41 b(In)30 b(addition,)f(factors)g(of)g(1)e(=)
22879 32 b(^)-53 b Fj(s=)p Fw(\()p Fj(\034)11 b(s)p Fw(\))29
22880 b(and)h(1)d(=)h Fj(\031)t(=\031)0 2870 y Fw(are)35 b(used)i(to)e
22881 (isolate)f(the)i(dimensionless)e(cross)j(section)e(\()t(^)-53
22882 b Fj(s)2257 2834 y Fl(2)2297 2870 y Fj(=\031)t Fw(\))17
22883 b(d)5 b(^)-54 b Fj(\033)s(=)p Fw(d)2676 2851 y(^)2675
22884 2870 y Fj(t)p Fw(.)52 b(The)37 b(con)m(ten)m(t)f(of)f(the)h(last)0
22885 2978 y(line)30 b(is)i(that,)f(with)h Fj(\034)11 b Fw(,)32
22886 b Fj(y)j Fw(and)c Fj(z)37 b Fw(selected)32 b(according)g(to)f(the)h
22887 (expressions)h Fj(h)2854 2993 y Fh(\034)2898 2978 y Fw(\()p
22888 Fj(\034)11 b Fw(\),)32 b Fj(h)3142 2993 y Fh(y)3183 2978
22889 y Fw(\()p Fj(y)t Fw(\))f(and)h Fj(h)3587 2993 y Fh(z)3627
22890 2978 y Fw(\()p Fj(z)t Fw(\),)0 3086 y(resp)s(ectiv)m(ely)-8
22891 b(,)41 b(the)e(cross)g(section)f(is)g(obtained)g(as)g(the)h(a)m(v)m
22892 (erage)g(of)f(the)h(\014nal)f(expression)h(o)m(v)m(er)h(all)0
22893 3195 y(ev)m(en)m(ts.)52 b(Since)35 b(the)g Fj(h)p Fw('s)g(ha)m(v)m(e)h
22894 (b)s(een)f(pic)m(k)m(ed)h(to)e(giv)m(e)h(unit)f(v)m(olume,)g(there)h
22895 (is)g(no)f(need)i(to)e(m)m(ultiply)0 3303 y(b)m(y)f(the)g(total)f
22896 (phase-space)i(v)m(olume.)146 3411 y(As)29 b(can)f(b)s(e)g(seen,)i(the)
22897 e(cross)h(section)f(for)f(a)h(giv)m(en)g(Mon)m(te)g(Carlo)f(ev)m(en)m
22898 (t)j(is)d(giv)m(en)h(as)g(the)g(pro)s(duct)0 3520 y(of)k(four)g
22899 (factors,)h(as)g(follo)m(ws:)119 3633 y(1.)49 b(The)36
22900 b Fj(\031)t(=s)e Fw(factor,)h(whic)m(h)g(is)g(common)e(to)i(all)e(ev)m
22901 (en)m(ts,)k(giv)m(es)f(the)f(o)m(v)m(erall)f(dimensions)g(of)g(the)244
22902 3741 y(cross)40 b(section,)h(in)e(GeV)1165 3705 y Fk(\000)p
22903 Fl(2)1259 3741 y Fw(.)64 b(Since)39 b(the)h(\014nal)e(cross)i(section)g
22904 (is)f(giv)m(en)g(in)f(units)i(of)e(m)m(b,)j(the)244 3850
22905 y(con)m(v)m(ersion)34 b(factor)e(of)g(1)g(GeV)1383 3813
22906 y Fk(\000)p Fl(2)1505 3850 y Fw(=)c(0)p Fj(:)p Fw(3894)j(m)m(b)h(is)h
22907 (also)e(included)h(here.)119 3967 y(2.)49 b(Next)36 b(comes)f(the)g
22908 (`Jacobian',)g(whic)m(h)h(comp)s(ensates)f(for)g(the)g(c)m(hange)h
22909 (from)e(the)h(original)d(to)244 4076 y(the)h(\014nal)f(phase-space)i(v)
22910 m(olume.)119 4193 y(3.)49 b(The)42 b(parton-distribution)c(function)i
22911 (w)m(eigh)m(t)h(is)f(obtained)h(b)m(y)g(making)f(use)h(of)g(the)g
22912 (parton)244 4302 y(distribution)35 b(libraries)g(in)i
22913 Fm(Pythia)g Fw(or)g(externally)-8 b(.)58 b(The)38 b Fj(x)2545
22914 4317 y Fl(1)2622 4302 y Fw(and)f Fj(x)2871 4317 y Fl(2)2948
22915 4302 y Fw(v)-5 b(alues)38 b(are)f(obtained)244 4410 y(from)31
22916 b Fj(\034)44 b Fw(and)33 b Fj(y)j Fw(via)31 b(the)i(relations)f
22917 Fj(x)1613 4425 y Fl(1)p Fh(;)p Fl(2)1735 4410 y Fw(=)1839
22918 4339 y Fn(p)p 1922 4339 54 4 v 71 x Fj(\034)c Fw(exp)q(\()p
22919 Fn(\006)p Fj(y)t Fw(\).)119 4543 y(4.)49 b(Finally)-8
22920 b(,)31 b(the)j(dimensionless)f(cross)h(section)g(\()t(^)-53
22921 b Fj(s)2026 4507 y Fl(2)2065 4543 y Fj(=\031)t Fw(\))17
22922 b(d)5 b(^)-54 b Fj(\033)t(=)p Fw(d)2445 4525 y(^)2444
22923 4543 y Fj(t)33 b Fw(is)g(the)h(quan)m(tit)m(y)h(that)e(has)h(to)f(b)s
22924 (e)244 4652 y(co)s(ded)g(for)f(eac)m(h)h(pro)s(cess)h(separately)-8
22925 b(,)33 b(and)g(where)h(the)f(ph)m(ysics)h(con)m(ten)m(t)g(is)e(found.)
22926 146 4765 y(Of)k(course,)h(the)f(expression)h(in)e(the)h(last)e(line)h
22927 (is)g(not)g(strictly)g(necessary)j(to)d(obtain)g(the)h(cross)0
22928 4873 y(section)d(b)m(y)h(Mon)m(te)g(Carlo)e(in)m(tegration.)44
22929 b(One)33 b(could)g(also)f(ha)m(v)m(e)j(used)f(eq.)g(\(69\))e(directly)
22930 -8 b(,)33 b(selecting)0 4994 y(phase-space)38 b(p)s(oin)m(ts)e(ev)m
22931 (enly)i(in)e Fj(\034)11 b Fw(,)38 b Fj(y)h Fw(and)1656
22932 4976 y(^)1655 4994 y Fj(t)p Fw(,)f(and)f(a)m(v)m(eraging)f(o)m(v)m(er)h
22933 (those)h(Mon)m(te)f(Carlo)f(w)m(eigh)m(ts.)0 5102 y(Clearly)47
22934 b(this)g(w)m(ould)h(b)s(e)g(m)m(uc)m(h)g(simpler,)i(but)e(the)g(price)g
22935 (to)g(b)s(e)f(paid)g(is)h(that)f(the)h(w)m(eigh)m(ts)h(of)0
22936 5211 y(individual)44 b(ev)m(en)m(ts)49 b(could)e(\015uctuate)h(wildly)
22937 -8 b(.)84 b(F)-8 b(or)46 b(instance,)51 b(if)46 b(the)h(cross)h
22938 (section)f(con)m(tains)g(a)0 5319 y(narro)m(w)33 b(resonance,)i(the)e
22939 (few)h(phase-space)g(p)s(oin)m(ts)f(that)g(are)g(generated)g(in)g(the)g
22940 (resonance)h(region)0 5427 y(obtain)46 b(large)f(w)m(eigh)m(ts,)52
22941 b(while)45 b(the)j(rest)f(do)g(not.)86 b(With)46 b(our)h(pro)s(cedure,)
22942 k(a)46 b(resonance)j(w)m(ould)0 5536 y(b)s(e)39 b(included)f(in)f(the)i
22943 Fj(h)884 5551 y Fh(\034)928 5536 y Fw(\()p Fj(\034)11
22944 b Fw(\))38 b(factor,)i(so)e(that)h(more)e(ev)m(en)m(ts)k(w)m(ould)e(b)s
22945 (e)f(generated)h(at)g(around)f(the)0 5644 y(appropriate)27
22946 b Fj(\034)563 5659 y Fh(R)649 5644 y Fw(v)-5 b(alue)28
22947 b(\(o)m(wing)f(to)h(the)g Fj(h)1543 5659 y Fh(\034)1614
22948 5644 y Fw(n)m(umerator)g(in)f(the)i(phase-space)g(expression\),)i(but)d
22949 (with)1841 5953 y(98)p eop
22950 %%Page: 99 105
22951 99 104 bop 0 -18 a Fw(these)29 b(ev)m(en)m(ts)h(assigned)f(a)e(lo)m(w)m
22952 (er,)i(more)e(normal)f(w)m(eigh)m(t)i(\(o)m(wing)g(to)f(the)i(factor)e
22953 (1)p Fj(=h)3160 -3 y Fh(\034)3231 -18 y Fw(in)g(the)h(w)m(eigh)m(t)0
22954 90 y(expression\).)44 b(Since)29 b(the)g(w)m(eigh)m(ts)h(\015uctuate)f
22955 (less,)i(few)m(er)f(phase-space)g(p)s(oin)m(ts)f(need)h(b)s(e)f
22956 (selected)h(to)0 198 y(get)j(a)f(reasonable)g(cross-section)i
22957 (estimate.)146 307 y(In)27 b(the)h(program,)e(the)h(cross)h(section)f
22958 (is)f(obtained)g(as)h(the)g(a)m(v)m(erage)h(o)m(v)m(er)g(all)d
22959 (phase-space)j(p)s(oin)m(ts)0 415 y(generated.)52 b(The)37
22960 b(ev)m(en)m(ts)g(actually)d(handed)i(on)g(to)e(the)i(user)g(should)f
22961 (ha)m(v)m(e)i(unit)e(w)m(eigh)m(t,)h(ho)m(w)m(ev)m(er)0
22962 523 y(\(an)27 b(option)g(with)g(w)m(eigh)m(ted)h(ev)m(en)m(ts)i
22963 (exists,)g(but)d(do)s(es)h(not)g(represen)m(t)h(the)f(mainstream)e
22964 (usage\).)42 b(A)m(t)0 632 y(initialization,)33 b(after)k(the)h
22965 Fj(c)1052 647 y Fh(i)1118 632 y Fw(co)s(e\016cien)m(ts)g(ha)m(v)m(e)h
22966 (b)s(een)f(determined,)h(a)e(searc)m(h)i(inside)d(the)i(allo)m(w)m(ed)0
22967 740 y(phase-space)h(v)m(olume)f(is)f(therefore)h(made)f(to)h(\014nd)g
22968 (the)g(maxim)m(um)e(of)h(the)h(w)m(eigh)m(t)g(expression)h(in)0
22969 848 y(the)f(last)g(line)e(of)i(eq.)h(\(85\).)59 b(In)38
22970 b(the)g(subsequen)m(t)k(generation)37 b(of)g(ev)m(en)m(ts,)42
22971 b(a)c(selected)h(phase-space)0 957 y(p)s(oin)m(t)44 b(is)h(then)g
22972 (retained)g(with)g(a)f(probabilit)m(y)f(equal)i(to)g(the)g(w)m(eigh)m
22973 (t)g(in)g(the)g(p)s(oin)m(t)f(divided)h(b)m(y)0 1065
22974 y(the)36 b(maxim)m(um)e(w)m(eigh)m(t.)53 b(Only)36 b(the)g(retained)g
22975 (phase-space)h(p)s(oin)m(ts)f(are)g(considered)g(further,)h(and)0
22976 1173 y(generated)c(as)g(complete)f(ev)m(en)m(ts.)146
22977 1282 y(The)40 b(searc)m(h)g(for)e(the)h(maxim)m(um)d(is)i(b)s(egun)h(b)
22978 m(y)h(ev)-5 b(aluating)36 b(the)j(w)m(eigh)m(t)g(in)f(the)h(same)f
22979 (grid)g(of)0 1390 y(p)s(oin)m(ts)c(as)h(used)h(to)e(determine)h(the)g
22980 Fj(c)1433 1405 y Fh(i)1496 1390 y Fw(co)s(e\016cien)m(ts.)51
22981 b(The)35 b(p)s(oin)m(t)f(with)h(highest)f(w)m(eigh)m(t)h(is)f(used)i
22982 (as)0 1498 y(starting)c(p)s(oin)m(t)g(for)h(a)g(searc)m(h)h(to)m(w)m
22983 (ards)g(the)g(maxim)m(um.)43 b(In)33 b(unfortunate)h(cases,)g(the)g
22984 (con)m(v)m(ergence)0 1607 y(could)42 b(b)s(e)h(to)m(w)m(ards)g(a)f(lo)s
22985 (cal)e(maxim)m(um)h(whic)m(h)i(is)e(not)i(the)g(global)d(one.)73
22986 b(T)-8 b(o)43 b(somewhat)f(reduce)0 1715 y(this)31 b(risk,)h(also)f
22987 (the)i(grid)d(p)s(oin)m(t)h(with)h(second-highest)g(w)m(eigh)m(t)g(is)g
22988 (used)h(for)e(another)h(searc)m(h.)44 b(After)0 1823
22989 y(initialization,)32 b(when)37 b(ev)m(en)m(ts)i(are)d(generated,)i(a)e
22990 (w)m(arning)g(message)g(will)e(b)s(e)j(giv)m(en)f(b)m(y)h(default)f(at)
22991 0 1932 y(an)m(y)i(time)e(a)h(phase-space)h(p)s(oin)m(t)f(is)f(selected)
22992 j(where)f(the)g(w)m(eigh)m(t)f(is)g(larger)f(than)h(the)h(maxim)m(um,)0
22993 2040 y(and)28 b(thereafter)g(the)g(maxim)m(um)e(w)m(eigh)m(t)i(is)f
22994 (adjusted)i(to)e(re\015ect)i(the)f(new)h(kno)m(wledge.)43
22995 b(This)27 b(means)0 2148 y(that)35 b(ev)m(en)m(ts)j(generated)f(b)s
22996 (efore)f(this)f(time)f(ha)m(v)m(e)j(a)e(somewhat)h(erroneous)h
22997 (distribution)d(in)h(phase)0 2257 y(space,)29 b(but)e(if)e(the)i(maxim)
22998 m(um)d(violation)g(is)i(rather)h(mo)s(dest)f(the)h(e\013ects)h(should)e
22999 (b)s(e)h(negligible.)39 b(The)0 2365 y(estimation)f(of)i(the)g(cross)i
23000 (section)e(is)g(not)g(a\013ected)h(b)m(y)g(an)m(y)g(of)e(these)j
23001 (considerations,)f(since)g(the)0 2473 y(maxim)m(um)30
23002 b(w)m(eigh)m(t)j(do)s(es)g(not)g(en)m(ter)g(in)m(to)f(eq.)44
23003 b(\(85\).)146 2582 y(F)-8 b(or)35 b(2)f Fn(!)f Fw(2)i(pro)s(cesses)j
23004 (with)e(iden)m(tical)e(\014nal-state)h(particles,)h(the)h
23005 (symmetrization)c(factor)j(of)0 2690 y(1)p Fj(=)p Fw(2)f(is)h
23006 (explicitly)e(included)h(at)h(the)g(end)h(of)f(the)g(d)5
23007 b(^)-54 b Fj(\033)t(=)p Fw(d)2088 2672 y(^)2087 2690
23008 y Fj(t)36 b Fw(calculation.)51 b(In)37 b(the)f(\014nal)f(cross)i
23009 (section,)0 2798 y(a)42 b(factor)g(of)g(2)h(is)f(retriev)m(ed)h(b)s
23010 (ecause)h(of)e(in)m(tegration)f(o)m(v)m(er)i(the)g(full)e(phase)i
23011 (space)h(\(rather)e(than)0 2907 y(only)29 b(half)e(of)i(it\).)41
23012 b(That)29 b(w)m(a)m(y)-8 b(,)31 b(no)e(sp)s(ecial)f(pro)m(visions)h
23013 (are)g(needed)i(in)d(the)i(phase-space)g(in)m(tegration)0
23014 3015 y(mac)m(hinery)-8 b(.)0 3263 y Fo(7.4.2)112 b(Resonance)39
23015 b(pro)s(duction)0 3436 y Fw(W)-8 b(e)32 b(ha)m(v)m(e)h(no)m(w)g(co)m(v)
23016 m(ered)g(the)f(simple)f(2)c Fn(!)g Fw(2)32 b(case.)44
23017 b(In)32 b(a)f(2)d Fn(!)f Fw(1)32 b(pro)s(cess,)h(the)2961
23018 3417 y(^)2960 3436 y Fj(t)f Fw(in)m(tegral)e(is)h(absen)m(t,)0
23019 3544 y(and)37 b(the)g(di\013eren)m(tial)e(cross)j(section)f(d)5
23020 b(^)-54 b Fj(\033)t(=)p Fw(d)1649 3526 y(^)1648 3544
23021 y Fj(t)37 b Fw(is)f(replaced)h(b)m(y)43 b(^)-54 b Fj(\033)t
23022 Fw(\()t(^)h Fj(s)p Fw(\).)56 b(The)38 b(cross)f(section)g(ma)m(y)g(no)m
23023 (w)0 3652 y(b)s(e)c(written)f(as)556 3897 y Fj(\033)87
23024 b Fw(=)857 3780 y Fg(Z)53 b(Z)1066 3829 y Fw(d)p Fj(\034)p
23025 1066 3874 108 4 v 1093 3965 a(\034)1200 3897 y Fw(d)p
23026 Fj(y)20 b(x)1377 3912 y Fl(1)1417 3897 y Fj(f)1465 3912
23027 y Fl(1)1504 3897 y Fw(\()p Fj(x)1597 3912 y Fl(1)1637
23028 3897 y Fj(;)d(Q)1758 3856 y Fl(2)1798 3897 y Fw(\))g
23029 Fj(x)1908 3912 y Fl(2)1947 3897 y Fj(f)1995 3912 y Fl(2)2035
23030 3897 y Fw(\()p Fj(x)2128 3912 y Fl(2)2167 3897 y Fj(;)g(Q)2288
23031 3856 y Fl(2)2328 3897 y Fw(\))k(^)-53 b Fj(\033)s Fw(\()t(^)g
23032 Fj(s)p Fw(\))698 4145 y(=)867 4077 y Fj(\031)p 867 4121
23033 59 4 v 873 4213 a(s)952 4028 y Fg(Z)1052 4145 y Fj(h)1108
23034 4160 y Fh(\034)1151 4145 y Fw(\()p Fj(\034)11 b Fw(\))17
23035 b(d)p Fj(\034)1421 4028 y Fg(Z)1521 4145 y Fj(h)1577
23036 4160 y Fh(y)1618 4145 y Fw(\()p Fj(y)t Fw(\))g(d)p Fj(y)1894
23037 4077 y(x)1949 4092 y Fl(1)1989 4077 y Fj(f)2037 4092
23038 y Fl(1)2076 4077 y Fw(\()p Fj(x)2169 4092 y Fl(1)2209
23039 4077 y Fj(;)g(Q)2330 4041 y Fl(2)2370 4077 y Fw(\))g
23040 Fj(x)2480 4092 y Fl(2)2519 4077 y Fj(f)2567 4092 y Fl(2)2606
23041 4077 y Fw(\()p Fj(x)2699 4092 y Fl(2)2739 4077 y Fj(;)g(Q)2860
23042 4041 y Fl(2)2900 4077 y Fw(\))p 1894 4121 1044 4 v 2134
23043 4213 a Fj(\034)2187 4184 y Fl(2)2227 4213 y Fj(h)2283
23044 4228 y Fh(\034)2327 4213 y Fw(\()p Fj(\034)11 b Fw(\))17
23045 b Fj(h)2529 4228 y Fh(y)2570 4213 y Fw(\()p Fj(y)t Fw(\))2985
23046 4077 y(^)-53 b Fj(s)p 2974 4121 59 4 v 2974 4213 a(\031)3048
23047 4145 y Fw(^)f Fj(\033)t Fw(\()t(^)h Fj(s)p Fw(\))698
23048 4424 y(=)857 4277 y Fg(*)933 4356 y Fj(\031)p 933 4400
23049 V 939 4492 a(s)1286 4356 y Fw(1)p 1029 4400 563 4 v 1029
23050 4492 a Fj(\034)1082 4463 y Fl(2)1122 4492 y Fj(h)1178
23051 4507 y Fh(\034)1221 4492 y Fw(\()p Fj(\034)11 b Fw(\))17
23052 b Fj(h)1423 4507 y Fh(y)1465 4492 y Fw(\()p Fj(y)t Fw(\))1618
23053 4424 y Fj(x)1673 4439 y Fl(1)1713 4424 y Fj(f)1761 4439
23054 y Fl(1)1801 4424 y Fw(\()p Fj(x)1894 4439 y Fl(1)1933
23055 4424 y Fj(;)g(Q)2054 4382 y Fl(2)2094 4424 y Fw(\))g
23056 Fj(x)2204 4439 y Fl(2)2243 4424 y Fj(f)2291 4439 y Fl(2)2331
23057 4424 y Fw(\()p Fj(x)2424 4439 y Fl(2)2464 4424 y Fj(;)g(Q)2585
23058 4382 y Fl(2)2624 4424 y Fw(\))2699 4356 y(^)-53 b Fj(s)p
23059 2688 4400 59 4 v 2688 4492 a(\031)2762 4424 y Fw(^)f
23060 Fj(\033)t Fw(\()t(^)h Fj(s)p Fw(\))2938 4277 y Fg(+)3054
23061 4424 y Fj(:)525 b Fw(\(86\))0 4700 y(The)35 b(structure)h(is)d(th)m(us)
23062 j(exactly)e(the)h(same,)f(but)h(the)f Fj(z)t Fw(-related)g(pieces)h
23063 (are)g(absen)m(t,)g(and)g(the)f(r^)-49 b(ole)0 4809 y(of)32
23064 b(the)h(dimensionless)f(cross)h(section)g(is)f(pla)m(y)m(ed)h(b)m(y)h
23065 (\()t(^)-53 b Fj(s=\031)t Fw(\))5 b(^)-54 b Fj(\033)s
23066 Fw(\()t(^)h Fj(s)p Fw(\).)146 4917 y(If)38 b(the)h(range)f(of)g(allo)m
23067 (w)m(ed)f(deca)m(y)i(angles)f(of)g(the)g(resonance)i(is)d(restricted,)j
23068 (e.g.)60 b(b)m(y)39 b(requiring)0 5025 y(the)34 b(deca)m(y)i(pro)s
23069 (ducts)e(to)g(ha)m(v)m(e)h(a)f(minim)m(um)c(transv)m(erse)36
23070 b(momen)m(tum,)d(e\013ectiv)m(ely)i(this)f(translates)0
23071 5148 y(in)m(to)d(constrain)m(ts)g(on)g(the)h Fj(z)h Fw(=)27
23072 b(cos)1329 5122 y(^)1321 5148 y Fj(\022)35 b Fw(v)-5
23073 b(ariable)29 b(of)i(the)h(2)27 b Fn(!)h Fw(2)j(pro)s(cess.)44
23074 b(The)32 b(di\013erence)g(is)f(that)g(the)0 5257 y(angular)38
23075 b(dep)s(endence)k(of)c(a)h(resonance)i(deca)m(y)f(is)f(trivial,)f(and)i
23076 (that)f(therefore)h(the)f Fj(z)t Fw(-dep)s(enden)m(t)0
23077 5365 y(factor)j(can)g(b)s(e)g(easily)f(ev)-5 b(aluated.)72
23078 b(F)-8 b(or)41 b(a)g(spin-0)h(resonance,)j(whic)m(h)e(deca)m(ys)h
23079 (isotropically)-8 b(,)41 b(the)0 5473 y(relev)-5 b(an)m(t)23
23080 b(w)m(eigh)m(t)g(is)g(simply)e(\()p Fj(z)1132 5488 y
23081 Fk(\000)p Fl(max)1325 5473 y Fn(\000)s Fj(z)1450 5488
23082 y Fk(\000)p Fl(min)1627 5473 y Fw(\))p Fj(=)p Fw(2)s(+)s(\()p
23083 Fj(z)1928 5488 y Fl(+max)2120 5473 y Fn(\000)s Fj(z)2245
23084 5488 y Fl(+min)2422 5473 y Fw(\))p Fj(=)p Fw(2.)40 b(F)-8
23085 b(or)22 b(a)g(transv)m(ersely)j(p)s(olarized)1841 5953
23086 y(99)p eop
23087 %%Page: 100 106
23088 100 105 bop 0 -18 a Fw(spin-1)32 b(resonance)i(the)f(expression)h(is,)e
23089 (instead,)116 147 y(3)p 116 191 49 4 v 116 282 a(8)174
23090 214 y(\()p Fj(z)257 229 y Fk(\000)p Fl(max)470 214 y
23091 Fn(\000)23 b Fj(z)615 229 y Fk(\000)p Fl(min)792 214
23092 y Fw(\))f(+)960 147 y(3)p 960 191 V 960 282 a(8)1018
23093 214 y(\()p Fj(z)1101 229 y Fl(+max)1314 214 y Fn(\000)h
23094 Fj(z)1459 229 y Fl(+min)1636 214 y Fw(\))f(+)1804 147
23095 y(1)p 1804 191 V 1804 282 a(8)1863 214 y(\()p Fj(z)1946
23096 229 y Fk(\000)p Fl(max)2158 214 y Fn(\000)h Fj(z)2303
23097 229 y Fk(\000)p Fl(min)2480 214 y Fw(\))2518 173 y Fl(3)2579
23098 214 y Fw(+)2687 147 y(1)p 2687 191 V 2687 282 a(8)2746
23099 214 y(\()p Fj(z)2829 229 y Fl(+max)3042 214 y Fn(\000)g
23100 Fj(z)3187 229 y Fl(+min)3364 214 y Fw(\))3402 173 y Fl(3)3473
23101 214 y Fj(:)106 b Fw(\(87\))0 439 y(Since)36 b(the)g(allo)m(w)m(ed)f
23102 Fj(z)41 b Fw(range)36 b(could)f(dep)s(end)i(on)f Fj(\034)47
23103 b Fw(and/or)35 b Fj(y)k Fw(\(it)c(do)s(es)h(for)f(a)h
23104 Fj(p)3030 454 y Fk(?)3125 439 y Fw(cut\),)h(the)f(factor)0
23105 547 y(has)d(to)g(b)s(e)g(ev)-5 b(aluated)33 b(for)f(eac)m(h)i
23106 (individual)c(phase-space)35 b(p)s(oin)m(t)d(and)h(included)g(in)f(the)
23107 h(expression)0 655 y(of)f(eq.)44 b(\(86\).)146 764 y(F)-8
23108 b(or)36 b(2)f Fn(!)g Fw(2)i(pro)s(cesses)i(where)f(either)e(of)h(the)g
23109 (\014nal-state)f(particles)h(is)f(a)h(resonance,)i(or)e(b)s(oth,)0
23110 872 y(an)32 b(additional)d(c)m(hoice)j(has)h(to)e(b)s(e)i(made)e(for)h
23111 (eac)m(h)h(resonance)g(mass,)f(eq.)h(\(80\).)43 b(Since)32
23112 b(the)g(allo)m(w)m(ed)0 980 y Fj(\034)11 b Fw(,)45 b
23113 Fj(y)h Fw(and)d Fj(z)k Fw(ranges)c(dep)s(end)g(on)g Fj(m)1404
23114 944 y Fl(2)1404 1005 y(3)1486 980 y Fw(and)f Fj(m)1770
23115 944 y Fl(2)1770 1005 y(4)1810 980 y Fw(,)j(the)e(selection)f(of)g
23116 (masses)h(ha)m(v)m(e)h(to)e(precede)i(the)0 1089 y(c)m(hoice)i(of)e
23117 (the)i(other)g(phase-space)g(v)-5 b(ariables.)81 b(Just)46
23118 b(as)f(for)g(the)h(other)f(v)-5 b(ariables,)47 b(masses)f(are)0
23119 1197 y(not)c(selected)i(uniformly)d(o)m(v)m(er)i(the)g(allo)m(w)m(ed)f
23120 (range,)j(but)e(are)g(rather)g(distributed)f(according)g(to)0
23121 1305 y(a)h(function)f Fj(h)540 1320 y Fh(m)607 1305 y
23122 Fw(\()p Fj(m)730 1269 y Fl(2)770 1305 y Fw(\))17 b Fj(dm)961
23123 1269 y Fl(2)1000 1305 y Fw(,)46 b(with)c(a)h(comp)s(ensating)f(factor)h
23124 (1)p Fj(=h)2467 1320 y Fh(m)2533 1305 y Fw(\()p Fj(m)2656
23125 1269 y Fl(2)2696 1305 y Fw(\))g(in)f(the)i(`Jacobian'.)75
23126 b(The)0 1414 y(functional)31 b(form)g(pic)m(k)m(ed)j(is)e(normally)555
23127 1650 y Fj(h)611 1665 y Fh(m)677 1650 y Fw(\()p Fj(m)800
23128 1609 y Fl(2)840 1650 y Fw(\))c(=)1025 1583 y Fj(c)1067
23129 1598 y Fl(1)p 1019 1627 94 4 v 1019 1718 a Fn(I)1073
23130 1733 y Fl(1)1154 1583 y Fw(1)p 1149 1627 59 4 v 1149
23131 1718 a Fj(\031)1557 1583 y(m)1642 1598 y Fh(R)1700 1583
23132 y Fw(\000)1761 1598 y Fh(R)p 1245 1627 887 4 v 1245 1718
23133 a Fw(\()p Fj(m)1368 1690 y Fl(2)1430 1718 y Fn(\000)22
23134 b Fj(m)1614 1684 y Fl(2)1614 1743 y Fh(R)1672 1718 y
23135 Fw(\))1710 1690 y Fl(2)1772 1718 y Fw(+)g Fj(m)1955 1684
23136 y Fl(2)1955 1743 y Fh(R)2013 1718 y Fw(\000)2074 1684
23137 y Fl(2)2074 1743 y Fh(R)2164 1650 y Fw(+)2278 1583 y
23138 Fj(c)2320 1598 y Fl(2)p 2272 1627 94 4 v 2272 1718 a
23139 Fn(I)2326 1733 y Fl(2)2397 1650 y Fw(+)2511 1583 y Fj(c)2553
23140 1598 y Fl(3)p 2505 1627 V 2505 1718 a Fn(I)2559 1733
23141 y Fl(3)2674 1583 y Fw(1)p 2636 1627 125 4 v 2636 1718
23142 a Fj(m)2721 1690 y Fl(2)2792 1650 y Fw(+)2907 1583 y
23143 Fj(c)2949 1598 y Fl(4)p 2900 1627 94 4 v 2900 1718 a
23144 Fn(I)2954 1733 y Fl(4)3069 1583 y Fw(1)p 3031 1627 125
23145 4 v 3031 1718 a Fj(m)3116 1690 y Fl(4)3198 1650 y Fj(:)381
23146 b Fw(\(88\))0 1894 y(The)28 b(de\014nition)e(of)g(the)h
23147 Fn(I)944 1909 y Fh(i)1000 1894 y Fw(in)m(tegrals)e(is)i(analogous)e(to)
23148 i(the)g(one)g(b)s(efore.)42 b(The)28 b Fj(c)2939 1909
23149 y Fh(i)2994 1894 y Fw(co)s(e\016cien)m(ts)g(are)f(not)0
23150 2002 y(found)37 b(b)m(y)h(optimization,)c(but)j(predetermined,)h
23151 (normally)d(to)h Fj(c)2458 2017 y Fl(1)2533 2002 y Fw(=)e(0)p
23152 Fj(:)p Fw(8,)k Fj(c)2875 2017 y Fl(2)2949 2002 y Fw(=)d
23153 Fj(c)3102 2017 y Fl(3)3176 2002 y Fw(=)g(0)p Fj(:)p Fw(1,)j
23154 Fj(c)3519 2017 y Fl(4)3593 2002 y Fw(=)d(0.)0 2111 y(Clearly)-8
23155 b(,)36 b(had)f(the)h(phase)h(space)g(and)f(the)g(cross)g(section)g(b)s
23156 (een)h(indep)s(enden)m(t)f(of)g Fj(m)3188 2075 y Fl(2)3188
23157 2135 y(3)3263 2111 y Fw(and)g Fj(m)3541 2075 y Fl(2)3541
23158 2135 y(4)3581 2111 y Fw(,)g(the)0 2219 y(optimal)28 b(c)m(hoice)j(w)m
23159 (ould)g(ha)m(v)m(e)h(b)s(een)g(to)f(put)g Fj(c)1716 2234
23160 y Fl(1)1783 2219 y Fw(=)d(1)i(and)h(ha)m(v)m(e)h(all)d(other)i
23161 Fj(c)2806 2234 y Fh(i)2865 2219 y Fw(v)-5 b(anishing)30
23162 b(|)g(then)i(the)0 2327 y(1)p Fj(=h)154 2342 y Fh(m)255
23163 2327 y Fw(factor)i(of)h(the)g(`Jacobian')f(w)m(ould)h(exactly)g(ha)m(v)
23164 m(e)h(cancelled)e(the)i(Breit{Wigner)d(of)h(eq.)i(\(80\))0
23165 2436 y(in)j(the)h(cross)h(section.)65 b(The)41 b(second)g(and)f(the)g
23166 (third)g(terms)f(are)h(there)h(to)e(co)m(v)m(er)i(the)g(p)s(ossibilit)m
23167 (y)0 2544 y(that)31 b(the)h(cross)g(section)f(do)s(es)h(not)f(die)g(a)m
23168 (w)m(a)m(y)h(quite)f(as)h(fast)f(as)g(giv)m(en)h(b)m(y)g(the)f(na)-11
23169 b(\177)-38 b(\020v)m(e)32 b(Breit{Wigner)0 2653 y(shap)s(e.)59
23170 b(In)38 b(particular,)f(the)h(third)f(term)g(co)m(v)m(ers)i(the)f(p)s
23171 (ossibilit)m(y)d(of)i(a)h(secondary)h(p)s(eak)f(at)f(small)0
23172 2761 y Fj(m)85 2725 y Fl(2)125 2761 y Fw(,)42 b(in)e(a)g(spirit)e
23173 (sligh)m(tly)h(similar)e(to)j(the)h(one)f(discussed)i(for)e(resonance)i
23174 (pro)s(duction)d(in)h(2)g Fn(!)h Fw(1)0 2869 y(pro)s(cesses.)146
23175 2978 y(The)f(fourth)e(term)g(is)g(only)f(used)j(for)e(pro)s(cesses)i
23176 (in)m(v)m(olving)d Fj(\015)2506 2941 y Fk(\003)2546 2978
23177 y Fj(=)p Fw(Z)2655 2941 y Fl(0)2732 2978 y Fw(pro)s(duction,)i(where)h
23178 (the)f Fj(\015)0 3086 y Fw(propagator)d(guaran)m(tees)j(that)e(the)h
23179 (cross)g(section)g(do)s(es)g(ha)m(v)m(e)g(a)g(signi\014can)m(t)e
23180 (secondary)j(p)s(eak)f(for)0 3194 y Fj(m)85 3158 y Fl(2)152
23181 3194 y Fn(!)28 b Fw(0.)43 b(Therefore)34 b(here)f(the)g(c)m(hoice)g(is)
23182 f Fj(c)1650 3209 y Fl(1)1717 3194 y Fw(=)c(0)p Fj(:)p
23183 Fw(4,)k Fj(c)2047 3209 y Fl(2)2114 3194 y Fw(=)c(0)p
23184 Fj(:)p Fw(05,)k Fj(c)2493 3209 y Fl(3)2560 3194 y Fw(=)27
23185 b(0)p Fj(:)p Fw(3)32 b(and)h Fj(c)3052 3209 y Fl(4)3119
23186 3194 y Fw(=)28 b(0)p Fj(:)p Fw(25.)146 3303 y(A)36 b(few)g(sp)s(ecial)e
23187 (tric)m(ks)i(ha)m(v)m(e)g(b)s(een)g(included)f(to)g(impro)m(v)m(e)g
23188 (e\016ciency)i(when)f(the)g(allo)m(w)m(ed)f(mass)0 3411
23189 y(range)h(of)f(resonances)i(is)f(constrained)f(b)m(y)i(kinematics)e(or)
23190 g(b)m(y)i(user)f(cuts.)54 b(F)-8 b(or)35 b(instance,)i(if)d(a)i(pair)0
23191 3519 y(of)d(equal)h(or)f(c)m(harge-conjugate)h(resonances)h(are)f(pro)s
23192 (duced,)h(suc)m(h)g(as)f(in)f(e)2842 3483 y Fl(+)2901
23193 3519 y Fw(e)2944 3483 y Fk(\000)3033 3519 y Fn(!)c Fw(W)3263
23194 3483 y Fl(+)3323 3519 y Fw(W)3424 3483 y Fk(\000)3483
23195 3519 y Fw(,)34 b(use)h(is)0 3628 y(made)h(of)g(the)i(constrain)m(t)e
23196 (that)h(the)g(ligh)m(ter)e(of)h(the)h(t)m(w)m(o)h(has)f(to)f(ha)m(v)m
23197 (e)i(a)f(mass)f(smaller)f(than)i(half)0 3736 y(the)c(c.m.)43
23198 b(energy)-8 b(.)0 3980 y Fo(7.4.3)112 b(Lepton)38 b(b)s(eams)0
23199 4152 y Fw(Lepton)27 b(b)s(eams)g(ha)m(v)m(e)h(to)f(b)s(e)g(handled)g
23200 (sligh)m(tly)f(di\013eren)m(tly)h(from)e(what)j(has)f(b)s(een)h
23201 (describ)s(ed)g(so)f(far.)0 4261 y(One)33 b(also)f(has)h(to)f
23202 (distinguish)g(b)s(et)m(w)m(een)i(a)f(lepton)f(for)g(whic)m(h)h(parton)
23203 g(distributions)e(are)i(included)0 4369 y(and)27 b(one)g(whic)m(h)h(is)
23204 e(treated)i(as)f(an)g(unresolv)m(ed)h(p)s(oin)m(t-lik)m(e)d(particle.)
23205 40 b(The)28 b(necessary)i(mo)s(di\014cations)0 4478 y(are)38
23206 b(the)g(same)g(for)g(2)e Fn(!)h Fw(2)g(and)h(2)f Fn(!)f
23207 Fw(1)i(pro)s(cesses,)j(ho)m(w)m(ev)m(er,)h(since)d(the)2840
23208 4459 y(^)2839 4478 y Fj(t)f Fw(degree)h(of)e(freedom)h(is)0
23209 4586 y(una\013ected.)146 4694 y(If)d(one)h(incoming)d(b)s(eam)h(is)h
23210 (an)g(unresolv)m(ed)i(lepton,)e(the)h(corresp)s(onding)f
23211 (parton-distribution)0 4803 y(piece)d(collapses)e(to)h(a)g
23212 Fj(\016)36 b Fw(function.)42 b(This)32 b(function)e(can)i(b)s(e)g(used)
23213 g(to)f(in)m(tegrate)g(out)g(the)h Fj(y)i Fw(v)-5 b(ariable:)0
23214 4911 y Fj(\016)t Fw(\()p Fj(x)140 4926 y Fl(1)p Fh(;)p
23215 Fl(2)262 4911 y Fn(\000)27 b Fw(1\))40 b(=)f Fj(\016)t
23216 Fw(\()p Fj(y)30 b Fn(\006)e Fw(\(1)p Fj(=)p Fw(2\))17
23217 b(ln)d Fj(\034)d Fw(\).)66 b(It)39 b(is)h(therefore)g(only)f(necessary)
23218 j(to)d(select)i(the)f Fj(\034)51 b Fw(and)40 b(the)g
23219 Fj(z)0 5019 y Fw(v)-5 b(ariables)40 b(according)h(to)g(the)g(prop)s(er)
23220 h(distributions,)g(with)f(comp)s(ensating)f(w)m(eigh)m(t)i(factors,)h
23221 (and)0 5128 y(only)32 b(one)h(set)g(of)f(parton)h(distributions)e(has)i
23222 (to)f(b)s(e)h(ev)-5 b(aluated)32 b(explicitly)-8 b(.)146
23223 5236 y(If)41 b(b)s(oth)g(incoming)d(b)s(eams)j(are)g(unresolv)m(ed)h
23224 (leptons,)h(b)s(oth)d(the)i Fj(\034)52 b Fw(and)41 b(the)g
23225 Fj(y)j Fw(v)-5 b(ariables)39 b(are)0 5344 y(trivially)32
23226 b(giv)m(en:)49 b Fj(\034)43 b Fw(=)32 b(1)j(and)g Fj(y)h
23227 Fw(=)c(0.)51 b(P)m(arton-distribution)33 b(w)m(eigh)m(ts)j(disapp)s
23228 (ear)e(completely)-8 b(.)50 b(F)-8 b(or)0 5453 y(a)35
23229 b(2)c Fn(!)g Fw(2)k(pro)s(cess,)h(only)f(the)g Fj(z)k
23230 Fw(selection)c(remains)f(to)g(b)s(e)h(p)s(erformed,)g(while)f(a)h(2)c
23231 Fn(!)g Fw(1)k(pro)s(cess)h(is)0 5561 y(completely)f(sp)s(eci\014ed,)j
23232 (i.e.)53 b(the)36 b(cross)h(section)f(is)g(a)g(simple)e(n)m(um)m(b)s
23233 (er)i(that)g(only)g(dep)s(ends)h(on)f(the)0 5669 y(c.m.)43
23234 b(energy)-8 b(.)1817 5953 y(100)p eop
23235 %%Page: 101 107
23236 101 106 bop 146 -18 a Fw(F)-8 b(or)34 b(a)h(resolv)m(ed)h(electron,)g
23237 (the)f Fj(f)1412 -55 y Fl(e)1401 6 y(e)1482 -18 y Fw(parton)g
23238 (distribution)e(is)h(strongly)h(p)s(eak)m(ed)h(to)m(w)m(ards)g
23239 Fj(x)c Fw(=)g(1.)0 90 y(This)40 b(a\013ects)g(b)s(oth)g(the)g
23240 Fj(\034)51 b Fw(and)40 b(the)g Fj(y)j Fw(distributions,)d(whic)m(h)g
23241 (are)g(not)g(w)m(ell)e(describ)s(ed)j(b)m(y)g(either)0
23242 198 y(of)32 b(the)h(pieces)g(in)f Fj(h)731 213 y Fh(\034)774
23243 198 y Fw(\()p Fj(\034)11 b Fw(\))33 b(or)f Fj(h)1111
23244 213 y Fh(y)1153 198 y Fw(\()p Fj(y)t Fw(\))g(in)f(pro)s(cesses)k(with)d
23245 (in)m(teracting)g(e)2604 162 y Fk(\006)2663 198 y Fw(.)43
23246 b(\(Pro)s(cesses)35 b(whic)m(h)e(in)m(v)m(olv)m(e)0 307
23247 y(e.g.)44 b(the)33 b Fj(\015)k Fw(con)m(ten)m(t)d(of)e(the)h(e)g(are)g
23248 (still)d(w)m(ell)i(sim)m(ulated,)f(since)i Fj(f)2466
23249 270 y Fl(e)2455 331 y Fh(\015)2534 307 y Fw(is)f(p)s(eak)m(ed)i(at)e
23250 (small)e Fj(x)p Fw(.\))146 427 y(If)40 b(b)s(oth)g(parton)f
23251 (distributions)g(are)g(p)s(eak)m(ed)j(close)d(to)h(1,)h(the)g
23252 Fj(h)2609 442 y Fh(\034)2652 427 y Fw(\()p Fj(\034)11
23253 b Fw(\))40 b(expression)h(in)e(eq.)66 b(\(83\))0 535
23254 y(is)47 b(therefore)h(increased)g(with)f(one)g(additional)e(term)i(of)g
23255 (the)g(form)f Fj(h)2738 550 y Fh(\034)2782 535 y Fw(\()p
23256 Fj(\034)11 b Fw(\))53 b Fn(/)g Fw(1)p Fj(=)p Fw(\(1)32
23257 b Fn(\000)g Fj(\034)11 b Fw(\),)52 b(with)0 644 y(co)s(e\016cien)m(ts)
23258 33 b Fj(c)535 659 y Fl(7)607 644 y Fw(and)f Fn(I)850
23259 659 y Fl(7)922 644 y Fw(determined)g(as)g(b)s(efore.)43
23260 b(The)34 b(div)m(ergence)f(when)g Fj(\034)39 b Fn(!)28
23261 b Fw(1)k(is)f(cut)i(o\013)f(b)m(y)h(our)0 752 y(regularization)h(pro)s
23262 (cedure)k(for)f(the)g Fj(f)1464 716 y Fl(e)1453 777 y(e)1536
23263 752 y Fw(parton)g(distribution;)g(therefore)h(w)m(e)g(only)e(need)i
23264 (consider)0 860 y Fj(\034)h(<)28 b Fw(1)22 b Fn(\000)g
23265 Fw(2)g Fn(\002)h Fw(10)624 824 y Fk(\000)p Fl(6)718 860
23266 y Fw(.)146 969 y(Corresp)s(ondingly)-8 b(,)25 b(the)f
23267 Fj(h)1105 984 y Fh(y)1146 969 y Fw(\()p Fj(y)t Fw(\))e(expression)j(is)
23268 e(expanded)i(with)e(a)g(term)f(1)p Fj(=)p Fw(\(1)s Fn(\000)s
23269 Fw(exp)q(\()p Fj(y)7 b Fn(\000)s Fj(y)3419 984 y Fl(0)3458
23270 969 y Fw(\)\))23 b(when)0 1077 y(incoming)28 b(b)s(eam)h(n)m(um)m(b)s
23271 (er)h(1)f(consists)i(of)e(a)h(resolv)m(ed)h(e)2064 1041
23272 y Fk(\006)2123 1077 y Fw(,)f(and)g(with)g(a)f(term)h(1)p
23273 Fj(=)p Fw(\(1)17 b Fn(\000)g Fw(exp\()p Fn(\000)p Fj(y)j
23274 Fn(\000)d Fj(y)3665 1092 y Fl(0)3704 1077 y Fw(\)\))0
23275 1186 y(when)45 b(incoming)c(b)s(eam)i(n)m(um)m(b)s(er)h(2)f(consists)i
23276 (of)e(a)g(resolv)m(ed)i(e)2440 1149 y Fk(\006)2499 1186
23277 y Fw(.)77 b(Both)43 b(terms)h(are)g(presen)m(t)h(for)0
23278 1294 y(an)40 b(e)186 1258 y Fl(+)246 1294 y Fw(e)289
23279 1258 y Fk(\000)388 1294 y Fw(collider,)g(only)g(one)h(for)e(an)i(ep)f
23280 (one.)67 b(The)42 b(co)s(e\016cien)m(t)e Fj(y)2571 1309
23281 y Fl(0)2651 1294 y Fw(=)h Fn(\000)p Fw(\(1)p Fj(=)p Fw(2\))17
23282 b(ln)e Fj(\034)52 b Fw(is)40 b(the)g(na)-11 b(\177)-38
23283 b(\020v)m(e)0 1402 y(kinematical)39 b(limit)f(of)j(the)h
23284 Fj(y)j Fw(range,)f Fn(j)p Fj(y)t Fn(j)d Fj(<)i(y)1784
23285 1417 y Fl(0)1823 1402 y Fw(.)71 b(F)-8 b(rom)40 b(the)i(de\014nitions)f
23286 (of)g Fj(y)k Fw(and)c Fj(y)3303 1417 y Fl(0)3384 1402
23287 y Fw(it)f(is)h(easy)0 1511 y(to)e(see)h(that)f(the)g(t)m(w)m(o)h(terms)
23288 f(ab)s(o)m(v)m(e)h(corresp)s(ond)g(to)f(1)p Fj(=)p Fw(\(1)26
23289 b Fn(\000)h Fj(x)2433 1526 y Fl(1)2473 1511 y Fw(\))39
23290 b(and)g(1)p Fj(=)p Fw(\(1)26 b Fn(\000)h Fj(x)3116 1526
23291 y Fl(2)3156 1511 y Fw(\),)40 b(resp)s(ectiv)m(ely)-8
23292 b(,)0 1619 y(and)32 b(th)m(us)h(are)g(again)d(regularized)i(b)m(y)h
23293 (our)f(parton-distribution)d(function)j(cut-o\013.)43
23294 b(Therefore)33 b(the)0 1727 y(in)m(tegration)c(ranges)j(are)f
23295 Fj(y)g(<)c(y)1188 1742 y Fl(0)1246 1727 y Fn(\000)20
23296 b Fw(10)1441 1691 y Fk(\000)p Fl(6)1566 1727 y Fw(for)30
23297 b(the)i(\014rst)g(term)e(and)h Fj(y)g(>)d Fn(\000)p Fj(y)2807
23298 1742 y Fl(0)2865 1727 y Fw(+)19 b(10)3058 1691 y Fk(\000)p
23299 Fl(6)3183 1727 y Fw(for)31 b(the)g(second)0 1836 y(one.)0
23300 2083 y Fo(7.4.4)112 b(Mixing)37 b(pro)s(cesses)0 2256
23301 y Fw(In)e(the)h(cross-section)g(form)m(ulae)d(giv)m(en)i(so)h(far,)f(w)
23302 m(e)h(ha)m(v)m(e)g(delib)s(erately)e(suppressed)k(a)c(summation)0
23303 2364 y(o)m(v)m(er)c(the)f(allo)m(w)m(ed)g(incoming)d(\015a)m(v)m(ours.)
23304 44 b(F)-8 b(or)28 b(instance,)i(the)f(pro)s(cess)i(f)p
23305 2637 2285 37 4 v 7 w(f)j Fn(!)27 b Fw(Z)2888 2328 y Fl(0)2956
23306 2364 y Fw(in)h(a)h(hadron)g(collider)0 2473 y(receiv)m(es)36
23307 b(con)m(tributions)d(from)g(u)p 1241 2420 55 4 v(u)e
23308 Fn(!)f Fw(Z)1516 2437 y Fl(0)1555 2473 y Fw(,)k(d)p 1670
23309 2394 V(d)d Fn(!)f Fw(Z)1945 2437 y Fl(0)1984 2473 y Fw(,)35
23310 b(s)p 2084 2420 39 4 v(s)c Fn(!)f Fw(Z)2343 2437 y Fl(0)2382
23311 2473 y Fw(,)35 b(and)f(so)g(on.)48 b(These)36 b(con)m(tributions)0
23312 2581 y(share)29 b(the)g(same)f(basic)g(form,)g(but)h(di\013er)f(in)f
23313 (the)i(parton-distribution)d(w)m(eigh)m(ts)j(and)g(\(usually\))e(in)h
23314 (a)0 2689 y(few)h(coupling)e(constan)m(ts)i(in)f(the)g(hard)h(matrix)d
23315 (elemen)m(ts.)43 b(It)28 b(it)f(therefore)i(con)m(v)m(enien)m(t)h(to)e
23316 (generate)0 2798 y(the)33 b(terms)g(together,)f(as)h(follo)m(ws:)119
23317 2911 y(1.)49 b(A)42 b(phase-space)i(p)s(oin)m(t)e(is)g(pic)m(k)m(ed,)k
23318 (and)c(all)e(common)h(factors)i(related)f(to)g(this)g(c)m(hoice)g(are)
23319 244 3019 y(ev)-5 b(aluated,)38 b(i.e.)57 b(the)37 b(`Jacobian')g(and)g
23320 (the)g(common)f(pieces)i(of)f(the)g(matrix)f(elemen)m(ts)h(\(e.g.)244
23321 3127 y(for)32 b(a)g(Z)534 3091 y Fl(0)606 3127 y Fw(the)h(basic)f
23322 (Breit{Wigner)f(shap)s(e,)j(excluding)e(couplings)g(to)g(the)h(initial)
23323 c(\015a)m(v)m(our\).)119 3245 y(2.)49 b(The)39 b
23324 (parton-distribution-function)34 b(library)i(is)h(called)g(to)g(pro)s
23325 (duce)i(all)d(the)i(parton)f(distri-)244 3354 y(butions,)32
23326 b(at)h(the)g(relev)-5 b(an)m(t)32 b Fj(x)h Fw(and)g Fj(Q)1629
23327 3317 y Fl(2)1701 3354 y Fw(v)-5 b(alues,)33 b(for)f(the)h(t)m(w)m(o)g
23328 (incoming)d(b)s(eams.)119 3471 y(3.)49 b(A)37 b(lo)s(op)e(is)h(made)g
23329 (o)m(v)m(er)i(the)f(t)m(w)m(o)h(incoming)c(\015a)m(v)m(ours,)39
23330 b(one)e(from)f(eac)m(h)i(b)s(eam)e(particle.)54 b(F)-8
23331 b(or)244 3580 y(eac)m(h)48 b(allo)m(w)m(ed)f(set)i(of)e(incoming)f
23332 (\015a)m(v)m(ours,)52 b(the)d(full)c(matrix-elemen)m(t)h(expression)j
23333 (is)e(put)244 3688 y(together,)e(using)d(the)h(common)e(pieces)j(and)e
23334 (the)h(\015a)m(v)m(our-dep)s(enden)m(t)i(couplings.)72
23335 b(This)43 b(is)244 3796 y(m)m(ultiplied)33 b(b)m(y)k(the)f(common)f
23336 (factors)h(and)g(the)h(parton-distribution)c(w)m(eigh)m(ts)k(to)f
23337 (obtain)f(a)244 3905 y(cross-section)e(w)m(eigh)m(t.)119
23338 4023 y(4.)49 b(Eac)m(h)35 b(allo)m(w)m(ed)e(\015a)m(v)m(our)i(com)m
23339 (bination)c(is)j(stored)g(as)h(a)e(separate)i(en)m(try)g(in)e(a)h
23340 (table,)f(together)244 4131 y(with)f(its)g(w)m(eigh)m(t.)44
23341 b(In)33 b(addition,)e(a)h(summed)g(w)m(eigh)m(t)h(is)f(calculated.)119
23342 4249 y(5.)49 b(The)28 b(phase-space)h(p)s(oin)m(t)e(is)g(k)m(ept)i(or)e
23343 (rejected,)i(according)e(to)g(a)h(comparison)e(of)h(the)h(summed)244
23344 4357 y(w)m(eigh)m(t)35 b(with)f(the)h(maxim)m(um)d(w)m(eigh)m(t)j
23345 (obtained)f(at)h(initialization.)44 b(Also)34 b(the)h(cross-section)244
23346 4465 y(Mon)m(te)e(Carlo)f(in)m(tegration)f(is)h(based)h(on)g(the)g
23347 (summed)f(w)m(eigh)m(t.)119 4583 y(6.)49 b(If)31 b(the)h(p)s(oin)m(t)e
23348 (is)h(retained,)h(one)f(of)g(the)h(allo)m(w)m(ed)f(\015a)m(v)m(our)h
23349 (com)m(binations)e(is)h(pic)m(k)m(ed)h(according)244
23350 4692 y(to)g(the)h(relativ)m(e)f(w)m(eigh)m(ts)h(stored)h(in)d(the)i
23351 (full)e(table.)146 4805 y(Generally)-8 b(,)43 b(the)e(\015a)m(v)m(ours)
23352 i(of)e(the)h(\014nal)e(state)i(are)f(either)g(completely)g(sp)s
23353 (eci\014ed)h(b)m(y)g(those)g(of)0 4913 y(the)j(initial)40
23354 b(state,)48 b(e.g.)79 b(as)44 b(in)g(qg)49 b Fn(!)f Fw(qg)q(,)g(or)43
23355 b(completely)h(decoupled)h(from)e(them,)k(e.g.)79 b(as)44
23356 b(in)0 5037 y(f)p 37 4958 37 4 v 7 w(f)38 b Fn(!)32 b
23357 Fw(Z)297 5001 y Fl(0)368 5037 y Fn(!)f Fw(f)536 5001
23358 y Fk(0)p 559 4958 V 559 5037 a Fw(f)596 4978 y Fk(0)619
23359 5037 y Fw(.)51 b(In)35 b(neither)g(case)h(need)g(therefore)g(the)f
23360 (\014nal-state)f(\015a)m(v)m(ours)j(b)s(e)e(sp)s(eci\014ed)h(in)e(the)0
23361 5145 y(cross-section)44 b(calculation.)73 b(It)43 b(is)f(only)h
23362 (necessary)-8 b(,)48 b(in)43 b(the)g(latter)f(case,)47
23363 b(to)c(include)f(an)h(o)m(v)m(erall)0 5254 y(w)m(eigh)m(t)37
23364 b(factor,)f(whic)m(h)h(tak)m(es)h(in)m(to)d(accoun)m(t)i(the)g(summed)f
23365 (con)m(tribution)f(of)h(all)e(\014nal)i(states)h(that)0
23366 5362 y(are)d(to)g(b)s(e)g(sim)m(ulated.)47 b(F)-8 b(or)33
23367 b(instance,)i(if)e(only)g(the)i(pro)s(cess)g(Z)2366 5326
23368 y Fl(0)2435 5362 y Fn(!)30 b Fw(e)2608 5326 y Fl(+)2667
23369 5362 y Fw(e)2710 5326 y Fk(\000)2804 5362 y Fw(is)j(studied,)i(the)g
23370 (relev)-5 b(an)m(t)0 5470 y(w)m(eigh)m(t)43 b(factor)g(is)g(simply)e
23371 (\000)1101 5485 y Fl(ee)1168 5470 y Fj(=)p Fw(\000)1278
23372 5485 y Fl(tot)1372 5470 y Fw(.)75 b(Once)44 b(the)g(kinematics)e(and)h
23373 (the)h(incoming)d(\015a)m(v)m(ours)j(ha)m(v)m(e)0 5579
23374 y(b)s(een)37 b(selected,)i(the)e(outgoing)e(\015a)m(v)m(ours)j(can)f(b)
23375 s(e)g(pic)m(k)m(ed)h(according)e(to)g(the)h(appropriate)f(relativ)m(e)
23376 1817 5953 y(101)p eop
23377 %%Page: 102 108
23378 102 107 bop 0 -18 a Fw(probabilities.)146 90 y(In)40
23379 b(some)e(pro)s(cesses,)43 b(suc)m(h)e(as)e(gg)g Fn(!)f
23380 Fw(gg)q(,)j(sev)m(eral)e(di\013eren)m(t)h(colour)e(\015o)m(ws)i(are)f
23381 (allo)m(w)m(ed,)h(eac)m(h)0 198 y(with)25 b(its)f(o)m(wn)i(kinematical)
23382 c(dep)s(endence)27 b(of)e(the)g(matrix-elemen)m(t)e(w)m(eigh)m(t,)k
23383 (see)f(section)f(8.2.1.)41 b(Eac)m(h)0 307 y(colour)28
23384 b(\015o)m(w)i(is)f(then)h(giv)m(en)f(as)h(a)f(separate)h(en)m(try)g(in)
23385 f(the)g(table)g(men)m(tioned)g(ab)s(o)m(v)m(e,)h(i.e.)42
23386 b(in)29 b(total)f(an)0 415 y(en)m(try)35 b(is)e(c)m(haracterized)h(b)m
23387 (y)g(the)g(t)m(w)m(o)g(incoming)d(\015a)m(v)m(ours,)36
23388 b(a)d(colour-\015o)m(w)g(index,)h(and)f(the)h(w)m(eigh)m(t.)0
23389 523 y(F)-8 b(or)42 b(an)g(accepted)i(phase-space)g(p)s(oin)m(t,)g(the)e
23390 (colour)g(\015o)m(w)h(is)f(selected)h(in)f(the)h(same)f(w)m(a)m(y)h(as)
23391 g(the)0 632 y(incoming)30 b(\015a)m(v)m(ours.)146 740
23392 y(The)i(program)e(can)h(also)f(allo)m(w)g(the)h(mixed)g(generation)f
23393 (of)h(t)m(w)m(o)g(or)g(more)f(completely)g(di\013eren)m(t)0
23394 848 y(pro)s(cesses,)d(suc)m(h)e(as)f(f)p 800 769 37 4
23395 v 7 w(f)34 b Fn(!)27 b Fw(Z)1051 812 y Fl(0)1113 848
23396 y Fw(and)d(q)p 1345 795 52 4 v(q)k Fn(!)g Fw(gg)q(.)40
23397 b(In)24 b(that)f(case,)j(eac)m(h)e(pro)s(cess)h(is)e(initialized)c
23398 (separately)-8 b(,)0 957 y(with)27 b(its)g(o)m(wn)h(set)g(of)f(co)s
23399 (e\016cien)m(ts)h Fj(c)1329 972 y Fh(i)1385 957 y Fw(and)g(so)f(on.)42
23400 b(The)28 b(maxima)d(obtained)i(for)g(the)h(individual)d(cross)0
23401 1065 y(sections)38 b(are)f(all)f(expressed)k(in)c(the)i(same)f(units,)i
23402 (ev)m(en)g(when)f(the)g(dimensionalit)m(y)d(of)i(the)h(phase)0
23403 1173 y(space)33 b(is)f(di\013eren)m(t.)44 b(\(This)32
23404 b(is)g(b)s(ecause)h(w)m(e)g(alw)m(a)m(ys)g(transform)e(to)h(a)g(phase)h
23405 (space)h(of)d(unit)h(v)m(olume,)0 1211 y Fg(R)72 1282
23406 y Fj(h)128 1297 y Fh(\034)171 1282 y Fw(\()p Fj(\034)11
23407 b Fw(\))17 b(d)p Fj(\034)41 b Fn(\021)30 b Fw(1,)k(etc.\))47
23408 b(The)35 b(ab)s(o)m(v)m(e)f(generation)f(sc)m(heme)i(need)g(therefore)f
23409 (only)f(b)s(e)h(generalized)f(as)0 1390 y(follo)m(ws:)119
23410 1503 y(1.)49 b(One)29 b(pro)s(cess)g(is)g(selected)g(among)e(the)i
23411 (allo)m(w)m(ed)f(ones,)i(with)e(a)h(relativ)m(e)e(probabilit)m(y)g(giv)
23412 m(en)i(b)m(y)244 1611 y(the)k(maxim)m(um)d(w)m(eigh)m(t)j(for)f(this)g
23413 (pro)s(cess.)119 1729 y(2.)49 b(A)29 b(phase-space)h(p)s(oin)m(t)e(is)g
23414 (found,)i(using)e(the)h(distributions)f Fj(h)2555 1744
23415 y Fh(\034)2598 1729 y Fw(\()p Fj(\034)11 b Fw(\))29 b(and)g(so)g(on,)g
23416 (optimized)e(for)244 1838 y(this)32 b(particular)f(pro)s(cess.)119
23417 1955 y(3.)49 b(The)e(total)d(w)m(eigh)m(t)i(for)g(the)g(phase-space)i
23418 (p)s(oin)m(t)d(is)g(ev)-5 b(aluated,)49 b(again)c(with)g(`Jacobians',)
23419 244 2064 y(matrix)29 b(elemen)m(ts)i(and)g(allo)m(w)m(ed)g(incoming)d
23420 (\015a)m(v)m(our)k(com)m(binations)d(that)i(are)g(sp)s(eci\014c)g(to)g
23421 (the)244 2172 y(pro)s(cess.)119 2290 y(4.)49 b(The)d(p)s(oin)m(t)e(is)g
23422 (retained)g(with)h(a)f(probabilit)m(y)f(giv)m(en)i(b)m(y)h(the)f(ratio)
23423 e(of)i(the)g(actual)f(to)g(the)244 2398 y(maxim)m(um)29
23424 b(w)m(eigh)m(t)i(of)g(the)h(pro)s(cess.)44 b(If)32 b(the)f(p)s(oin)m(t)
23425 g(is)f(rejected,)j(one)f(has)g(to)f(go)f(bac)m(k)j(to)e(step)244
23426 2506 y(1)h(and)h(pic)m(k)g(a)f(new)i(pro)s(cess.)119
23427 2624 y(5.)49 b(Once)26 b(a)f(phase-space)i(p)s(oin)m(t)d(has)i(b)s(een)
23428 g(accepted,)i(\015a)m(v)m(ours)e(ma)m(y)f(b)s(e)h(selected,)i(and)d
23429 (the)h(ev)m(en)m(t)244 2733 y(generated)33 b(in)f(full.)0
23430 2846 y(It)38 b(is)g(clear)f(wh)m(y)j(this)d(w)m(orks:)56
23431 b(although)37 b(phase-space)j(p)s(oin)m(ts)e(are)g(selected)h(among)e
23432 (the)h(allo)m(w)m(ed)0 2954 y(pro)s(cesses)30 b(according)e(to)g
23433 (relativ)m(e)f(probabilities)f(giv)m(en)i(b)m(y)h(the)g(maxim)m(um)d(w)
23434 m(eigh)m(ts,)k(the)f(probabil-)0 3062 y(it)m(y)j(that)g(a)g(p)s(oin)m
23435 (t)f(is)g(accepted)j(is)e(prop)s(ortional)d(to)j(the)g(ratio)f(of)h
23436 (actual)f(to)h(maxim)m(um)d(w)m(eigh)m(t.)44 b(In)0 3171
23437 y(total,)34 b(the)h(probabilit)m(y)d(for)i(a)g(giv)m(en)h(pro)s(cess)h
23438 (to)e(b)s(e)h(retained)f(is)g(therefore)h(only)f(prop)s(ortional)e(to)0
23439 3279 y(the)h(a)m(v)m(erage)h(of)e(the)h(actual)e(w)m(eigh)m(ts,)j(and)e
23440 (an)m(y)i(dep)s(endence)h(on)d(the)h(maxim)m(um)d(w)m(eigh)m(t)j(is)f
23441 (gone.)146 3387 y(In)26 b Fj(\015)5 b Fw(p)25 b(and)g
23442 Fj(\015)5 b(\015)30 b Fw(ph)m(ysics,)e(the)e(di\013eren)m(t)f(comp)s
23443 (onen)m(ts)h(of)e(the)i(photon)f(giv)m(e)g(di\013eren)m(t)g(\014nal)f
23444 (states,)0 3496 y(see)32 b(section)f(7.7.2.)42 b(T)-8
23445 b(ec)m(hnically)g(,)31 b(this)f(in)m(tro)s(duces)h(a)g(further)g(lev)m
23446 (el)f(of)g(administration,)e(since)k(eac)m(h)0 3604 y(ev)m(en)m(t)j
23447 (class)f(con)m(tains)g(a)f(set)i(of)e(\(partly)g(o)m(v)m(erlapping\))g
23448 (pro)s(cesses.)49 b(F)-8 b(rom)32 b(an)h(ideological)d(p)s(oin)m(t)j
23449 (of)0 3712 y(view,)i(ho)m(w)m(ev)m(er,)j(it)33 b(just)i(represen)m(ts)i
23450 (one)d(more)g(c)m(hoice)h(to)f(b)s(e)g(made,)h(that)f(of)g(ev)m(en)m(t)
23451 i(class,)f(b)s(efore)0 3821 y(the)h(selection)g(of)f(pro)s(cess)i(in)e
23452 (step)i(1)f(ab)s(o)m(v)m(e.)54 b(When)37 b(a)e(w)m(eigh)m(ting)h
23453 (fails,)f(b)s(oth)g(class)h(and)g(pro)s(cess)0 3929 y(ha)m(v)m(e)e(to)e
23454 (b)s(e)h(pic)m(k)m(ed)h(anew.)0 4196 y Fp(7.5)135 b Fs(2)33
23455 b Fc(!)g Fs(3)44 b Fp(and)h Fs(2)33 b Fc(!)f Fs(4)45
23456 b Fp(Pro)t(cesses)0 4369 y Fw(The)34 b Fm(Pythia)g Fw(mac)m(hinery)g
23457 (to)f(handle)g(2)c Fn(!)g Fw(1)k(and)h(2)29 b Fn(!)g
23458 Fw(2)k(pro)s(cesses)i(is)e(fairly)f(sophisticated)h(and)0
23459 4478 y(generic.)43 b(The)33 b(same)e(cannot)h(b)s(e)g(said)f(ab)s(out)g
23460 (the)h(generation)f(of)g(hard)h(scattering)f(pro)s(cesses)j(with)0
23461 4586 y(more)c(than)h(t)m(w)m(o)h(\014nal-state)e(particles.)42
23462 b(The)32 b(n)m(um)m(b)s(er)f(of)g(phase-space)h(v)-5
23463 b(ariables)30 b(is)g(larger,)g(and)h(it)0 4694 y(is)25
23464 b(therefore)g(more)f(di\016cult)h(to)f(\014nd)i(and)f(transform)f(a)m
23465 (w)m(a)m(y)i(all)d(p)s(ossible)i(p)s(eaks)h(in)e(the)h(cross)h(section)
23466 0 4803 y(b)m(y)i(a)e(suitably)g(biased)h(c)m(hoice)g(of)f(phase-space)j
23467 (p)s(oin)m(ts.)41 b(In)27 b(addition,)f(matrix-elemen)m(t)f
23468 (expressions)0 4911 y(for)35 b(2)d Fn(!)h Fw(3)i(pro)s(cesses)j(are)d
23469 (t)m(ypically)g(fairly)e(length)m(y)-8 b(.)53 b(Therefore)36
23470 b Fm(Pythia)g Fw(only)f(con)m(tains)h(a)f(v)m(ery)0 5019
23471 y(limited)25 b(n)m(um)m(b)s(er)j(of)f(2)h Fn(!)f Fw(3)g(and)h(2)g
23472 Fn(!)f Fw(4)g(pro)s(cesses,)k(and)d(almost)e(eac)m(h)j(pro)s(cess)g(is)
23473 e(a)h(sp)s(ecial)e(case)j(of)0 5128 y(its)j(o)m(wn.)45
23474 b(It)33 b(is)g(therefore)g(less)g(in)m(teresting)g(to)f(discuss)i
23475 (details,)e(and)h(w)m(e)h(only)f(giv)m(e)g(a)f(v)m(ery)i(generic)0
23476 5236 y(o)m(v)m(erview.)146 5344 y(If)d(the)g(Higgs)f(mass)g(is)g(not)h
23477 (ligh)m(t,)e(in)m(teractions)h(among)g(longitudinal)d(W)32
23478 b(and)e(Z)h(gauge)f(b)s(osons)0 5453 y(are)45 b(of)f(in)m(terest.)81
23479 b(In)45 b(the)h(program,)g(2)j Fn(!)f Fw(1)c(pro)s(cesses)j(suc)m(h)g
23480 (as)e(W)2709 5411 y Fl(+)2708 5477 y(L)2768 5453 y Fw(W)2869
23481 5411 y Fk(\000)2868 5477 y Fl(L)2978 5453 y Fn(!)j Fw(H)3199
23482 5416 y Fl(0)3283 5453 y Fw(and)d(2)k Fn(!)f Fw(2)0 5561
23483 y(ones)38 b(suc)m(h)g(as)g(W)672 5520 y Fl(+)671 5585
23484 y(L)731 5561 y Fw(W)832 5520 y Fk(\000)831 5585 y Fl(L)927
23485 5561 y Fn(!)d Fw(Z)1122 5525 y Fl(0)1122 5586 y(L)1170
23486 5561 y Fw(Z)1230 5525 y Fl(0)1230 5586 y(L)1315 5561
23487 y Fw(are)i(included.)56 b(The)38 b(former)e(are)h(for)g(use)h(when)g
23488 (the)g(H)3443 5525 y Fl(0)3519 5561 y Fw(still)d(is)0
23489 5669 y(reasonably)k(narro)m(w,)i(suc)m(h)f(that)e(a)h(resonance)h
23490 (description)f(is)f(applicable,)g(while)g(the)i(latter)d(are)1817
23491 5953 y(102)p eop
23492 %%Page: 103 109
23493 103 108 bop 0 -18 a Fw(in)m(tended)35 b(for)f(high)f(energies,)i(where)
23494 h(di\013eren)m(t)e(con)m(tributions)g(ha)m(v)m(e)i(to)d(b)s(e)i(added)g
23495 (up.)49 b(Since)34 b(the)0 90 y(program)24 b(do)s(es)i(not)g(con)m
23496 (tain)f(W)1200 105 y Fl(L)1274 90 y Fw(or)g(Z)1446 105
23497 y Fl(L)1519 90 y Fw(distributions)f(inside)h(hadrons,)j(the)e(basic)f
23498 (hard)h(scattering)0 198 y(has)h(to)f(b)s(e)g(con)m(v)m(oluted)i(with)e
23499 (the)g(q)j Fn(!)e Fw(q)1527 162 y Fk(0)1551 198 y Fw(W)1651
23500 213 y Fl(L)1725 198 y Fw(and)g(q)h Fn(!)f Fw(qZ)2226
23501 213 y Fl(L)2301 198 y Fw(branc)m(hings,)h(to)e(yield)g(e\013ectiv)m(e)h
23502 (2)g Fn(!)h Fw(3)0 307 y(and)33 b(2)28 b Fn(!)f Fw(4)32
23503 b(pro)s(cesses.)46 b(Ho)m(w)m(ev)m(er,)36 b(it)31 b(is)i(p)s(ossible)f
23504 (to)g(in)m(tegrate)g(out)h(the)g(scattering)f(angles)h(of)f(the)0
23505 415 y(quarks)38 b(analytically)-8 b(,)35 b(as)h(w)m(ell)g(as)h(one)g
23506 (energy-sharing)f(v)-5 b(ariable)35 b([Cha85].)56 b(Only)36
23507 b(after)g(an)h(ev)m(en)m(t)0 523 y(has)j(b)s(een)h(accepted)g(are)f
23508 (these)h(other)f(kinematical)d(v)-5 b(ariables)38 b(selected.)67
23509 b(This)40 b(in)m(v)m(olv)m(es)g(further)0 632 y(c)m(hoices)33
23510 b(of)g(random)e(v)-5 b(ariables,)32 b(according)g(to)g(a)g(separate)h
23511 (selection)g(lo)s(op.)146 740 y(In)d(total,)e(it)f(is)i(therefore)g
23512 (only)g(necessary)i(to)d(in)m(tro)s(duce)h(one)g(additional)d(v)-5
23513 b(ariable)27 b(in)h(the)i(basic)0 848 y(phase-space)45
23514 b(selection,)h(whic)m(h)e(is)f(c)m(hosen)i(to)f(b)s(e)j(^)-53
23515 b Fj(s)2022 812 y Fk(0)2046 848 y Fw(,)46 b(the)e(squared)h(in)m(v)-5
23516 b(arian)m(t)42 b(mass)h(of)g(the)h(full)0 957 y(2)i Fn(!)h
23517 Fw(3)c(or)h(2)i Fn(!)h Fw(4)c(pro)s(cess,)48 b(while)f(^)-53
23518 b Fj(s)43 b Fw(is)h(used)h(for)e(the)h(squared)h(in)m(v)-5
23519 b(arian)m(t)43 b(mass)g(of)h(the)g(inner)0 1065 y(2)g
23520 Fn(!)g Fw(1)f(or)f(2)i Fn(!)g Fw(2)f(pro)s(cess.)74 b(The)43
23521 b Fj(y)j Fw(v)-5 b(ariable)41 b(is)h(coupled)g(to)g(the)h(full)e(pro)s
23522 (cess,)46 b(since)d(parton-)0 1183 y(distribution)31
23523 b(w)m(eigh)m(ts)i(ha)m(v)m(e)h(to)e(b)s(e)h(giv)m(en)f(for)g(the)h
23524 (original)d(quarks)j(at)g Fj(x)2769 1198 y Fl(1)p Fh(;)p
23525 Fl(2)2891 1183 y Fw(=)2995 1101 y Fn(p)p 3078 1101 77
23526 4 v 82 x Fj(\034)3131 1155 y Fk(0)3171 1183 y Fw(exp)18
23527 b(\()p Fn(\006)p Fj(y)t Fw(\))o(.)44 b(The)1 1289 y(^)0
23528 1307 y Fj(t)38 b Fw(v)-5 b(ariable)36 b(is)h(related)h(to)f(the)i
23529 (inner)e(pro)s(cess,)k(and)d(th)m(us)g(not)g(needed)i(for)d(the)h(2)f
23530 Fn(!)f Fw(3)h(pro)s(cesses.)0 1415 y(The)e(selection)f(of)g(the)h
23531 Fj(\034)936 1379 y Fk(0)990 1415 y Fw(=)g(^)-53 b Fj(s)1143
23532 1379 y Fk(0)1166 1415 y Fj(=s)34 b Fw(v)-5 b(ariable)33
23533 b(is)h(done)g(after)g Fj(\034)11 b Fw(,)36 b(but)e(b)s(efore)h
23534 Fj(y)i Fw(has)e(b)s(een)g(c)m(hosen.)50 b(T)-8 b(o)0
23535 1524 y(impro)m(v)m(e)36 b(the)h(e\016ciency)-8 b(,)39
23536 b(the)d(selection)g(is)g(made)g(according)g(to)g(a)g(w)m(eigh)m(ted)h
23537 (phase)h(space)f(of)f(the)0 1632 y(form)230 1561 y Fg(R)302
23538 1632 y Fj(h)358 1647 y Fh(\034)397 1628 y Fd(0)424 1632
23539 y Fw(\()p Fj(\034)515 1596 y Fk(0)539 1632 y Fw(\))17
23540 b(d)p Fj(\034)701 1596 y Fk(0)724 1632 y Fw(,)33 b(where)849
23541 1911 y Fj(h)905 1926 y Fh(\034)944 1907 y Fd(0)971 1911
23542 y Fw(\()p Fj(\034)1062 1870 y Fk(0)1086 1911 y Fw(\))27
23543 b(=)1271 1844 y Fj(c)1313 1859 y Fl(1)p 1265 1888 94
23544 4 v 1265 1980 a Fn(I)1319 1995 y Fl(1)1392 1844 y Fw(1)p
23545 1378 1888 77 4 v 1378 1980 a Fj(\034)1431 1951 y Fk(0)1487
23546 1911 y Fw(+)1601 1844 y Fj(c)1643 1859 y Fl(2)p 1595
23547 1888 94 4 v 1595 1980 a Fn(I)1649 1995 y Fl(2)1725 1844
23548 y Fw(\(1)22 b Fn(\000)h Fj(\034)11 b(=\034)2089 1808
23549 y Fk(0)2113 1844 y Fw(\))2151 1808 y Fl(3)p 1725 1888
23550 465 4 v 1902 1980 a Fj(\034)1955 1951 y Fk(0)p Fl(2)2222
23551 1911 y Fw(+)2337 1844 y Fj(c)2379 1859 y Fl(3)p 2330
23552 1888 94 4 v 2330 1980 a Fn(I)2384 1995 y Fl(3)2636 1844
23553 y Fw(1)p 2461 1888 400 4 v 2461 1980 a Fj(\034)2514 1951
23554 y Fk(0)2537 1980 y Fw(\(1)22 b Fn(\000)h Fj(\034)2799
23555 1951 y Fk(0)2823 1980 y Fw(\))2903 1911 y Fj(;)676 b
23556 Fw(\(89\))0 2182 y(in)31 b(con)m(v)m(en)m(tional)i(notation.)42
23557 b(The)33 b Fj(c)1347 2197 y Fh(i)1407 2182 y Fw(co)s(e\016cien)m(ts)h
23558 (are)e(optimized)e(at)i(initialization.)38 b(The)33 b
23559 Fj(c)3480 2197 y Fl(3)3552 2182 y Fw(term,)0 2290 y(p)s(eak)m(ed)k(at)f
23560 Fj(\034)507 2254 y Fk(0)565 2290 y Fn(\031)e Fw(1,)j(is)e(only)h(used)h
23561 (for)f(e)1530 2254 y Fl(+)1589 2290 y Fw(e)1632 2254
23562 y Fk(\000)1728 2290 y Fw(collisions.)51 b(The)37 b(c)m(hoice)g(of)e
23563 Fj(h)2857 2305 y Fh(\034)2896 2286 y Fd(0)2959 2290 y
23564 Fw(is)h(roughly)f(matc)m(hed)0 2398 y(to)d(the)h(longitudinal)c
23565 (gauge-b)s(oson)j(\015ux)i(factor,)e(whic)m(h)h(is)f(of)g(the)h(form)
23566 1194 2529 y Fg(\022)1256 2650 y Fw(1)21 b(+)1446 2583
23567 y Fj(\034)p 1434 2627 77 4 v 1434 2718 a(\034)1487 2690
23568 y Fk(0)1521 2529 y Fg(\023)1615 2650 y Fw(ln)1713 2529
23569 y Fg(\022)1796 2583 y Fj(\034)p 1784 2627 V 1784 2718
23570 a(\034)1837 2690 y Fk(0)1871 2529 y Fg(\023)1954 2650
23571 y Fn(\000)i Fw(2)2120 2529 y Fg(\022)2181 2650 y Fw(1)e
23572 Fn(\000)2373 2583 y Fj(\034)p 2361 2627 V 2361 2718 a(\034)2414
23573 2690 y Fk(0)2448 2529 y Fg(\023)2558 2650 y Fj(:)1021
23574 b Fw(\(90\))146 2902 y(F)-8 b(or)28 b(a)h(ligh)m(t)e(H)i(the)h
23575 (e\013ectiv)m(e)g(W)g(appro)m(ximation)d(ab)s(o)m(v)m(e)j(breaks)g(do)m
23576 (wn,)g(and)f(it)f(is)h(necessary)i(to)0 3010 y(include)c(the)h(full)e
23577 (structure)j(of)f(the)g(qq)1445 2974 y Fk(0)1497 3010
23578 y Fn(!)f Fw(qq)1726 2974 y Fk(0)1750 3010 y Fw(H)1823
23579 2974 y Fl(0)1891 3010 y Fw(\(i.e.)41 b(ZZ)27 b(fusion\))g(and)h(qq)2847
23580 2974 y Fk(0)2899 3010 y Fn(!)f Fw(q)3077 2974 y Fk(00)3120
23581 3010 y Fw(q)3171 2974 y Fk(000)3233 3010 y Fw(H)3306
23582 2974 y Fl(0)3373 3010 y Fw(\(i.e.)42 b(WW)0 3119 y(fusion\))21
23583 b(matrix)g(elemen)m(ts.)40 b(The)23 b Fj(\034)1295 3083
23584 y Fk(0)1319 3119 y Fw(,)h Fj(\034)33 b Fw(and)22 b Fj(y)j
23585 Fw(v)-5 b(ariables)21 b(are)g(here)i(retained,)h(and)e(selected)h
23586 (according)0 3227 y(to)32 b(standard)i(pro)s(cedures.)45
23587 b(The)34 b(Higgs)e(mass)g(is)h(represen)m(ted)i(b)m(y)f(the)f
23588 Fj(\034)44 b Fw(c)m(hoice;)33 b(normally)e(the)i(H)3740
23589 3191 y Fl(0)0 3335 y Fw(is)g(so)g(narro)m(w)h(that)e(the)i
23590 Fj(\034)45 b Fw(distribution)31 b(e\013ectiv)m(ely)j(collapses)e(to)h
23591 (a)g Fj(\016)k Fw(function.)45 b(In)33 b(addition,)f(the)0
23592 3444 y(three-b)s(o)s(dy)h(\014nal-state)f(phase)h(space)h(is)e
23593 (rewritten)h(as)0 3584 y Fg( )105 3622 y Fl(5)70 3647
23594 y Fg(Y)66 3829 y Fh(i)p Fl(=3)294 3663 y Fw(1)p 206 3707
23595 223 4 v 206 3798 a(\(2)p Fj(\031)t Fw(\))390 3770 y Fl(3)449
23596 3663 y Fw(d)503 3626 y Fl(3)543 3663 y Fj(p)592 3678
23597 y Fh(i)p 449 3707 171 4 v 460 3798 a Fw(2)p Fj(E)581
23598 3813 y Fh(i)630 3584 y Fg(!)729 3730 y Fw(\(2)p Fj(\031)t
23599 Fw(\))913 3689 y Fl(4)952 3730 y Fj(\016)999 3689 y Fl(\(4\))1093
23600 3730 y Fw(\()p Fj(p)1180 3745 y Fl(3)1233 3730 y Fw(+)13
23601 b Fj(p)1371 3745 y Fl(4)1423 3730 y Fw(+)g Fj(p)1561
23602 3745 y Fl(5)1613 3730 y Fn(\000)g Fj(p)1752 3745 y Fl(1)1805
23603 3730 y Fn(\000)g Fj(p)1944 3745 y Fl(2)1983 3730 y Fw(\))28
23604 b(=)2250 3663 y(1)p 2163 3707 223 4 v 2163 3798 a(\(2)p
23605 Fj(\031)t Fw(\))2347 3770 y Fl(5)2532 3663 y Fj(\031)2591
23606 3626 y Fl(2)p 2422 3707 319 4 v 2422 3802 a Fw(4)2471
23607 3725 y Fn(p)p 2554 3725 187 4 v 77 x Fj(\025)2611 3817
23608 y Fk(?)p Fl(34)2767 3730 y Fw(d)p Fj(p)2870 3689 y Fl(2)2870
23609 3755 y Fk(?)p Fl(3)2991 3663 y Fw(d)p Fj(')3109 3678
23610 y Fl(3)p 2991 3707 158 4 v 3016 3798 a Fw(2)p Fj(\031)3175
23611 3730 y Fw(d)p Fj(p)3278 3689 y Fl(2)3278 3755 y Fk(?)p
23612 Fl(4)3399 3663 y Fw(d)p Fj(')3517 3678 y Fl(4)p 3399
23613 3707 V 3424 3798 a Fw(2)p Fj(\031)3583 3730 y Fw(d)p
23614 Fj(y)3685 3745 y Fl(5)3752 3730 y Fj(;)3606 3921 y Fw(\(91\))0
23615 4029 y(where)f Fj(\025)332 4044 y Fk(?)p Fl(34)489 4029
23616 y Fw(=)h(\()p Fj(m)716 3993 y Fl(2)716 4054 y Fk(?)p
23617 Fl(34)854 4029 y Fn(\000)8 b Fj(m)1024 3993 y Fl(2)1024
23618 4054 y Fk(?)p Fl(3)1128 4029 y Fn(\000)g Fj(m)1298 3993
23619 y Fl(2)1298 4054 y Fk(?)p Fl(4)1393 4029 y Fw(\))1431
23620 3993 y Fl(2)1479 4029 y Fn(\000)g Fw(4)p Fj(m)1698 3993
23621 y Fl(2)1698 4054 y Fk(?)p Fl(3)1793 4029 y Fj(m)1878
23622 3993 y Fl(2)1878 4054 y Fk(?)p Fl(4)1973 4029 y Fw(.)41
23623 b(The)26 b(outgoing)f(quarks)i(are)f(lab)s(elled)d(3)j(and)g(4,)0
23624 4137 y(and)g(the)g(outgoing)e(Higgs)h(5.)41 b(The)27
23625 b Fj(')f Fw(angles)f(are)h(selected)h(isotropically)-8
23626 b(,)24 b(while)h(the)h(t)m(w)m(o)g(transv)m(erse)0 4246
23627 y(momen)m(ta)37 b(are)h(pic)m(k)m(ed,)j(with)c(some)h(forekno)m(wledge)
23628 h(of)f(the)g(shap)s(e)h(of)e(the)i(W)q Fj(=)p Fw(Z)f(propagators)f(in)0
23629 4354 y(the)c(cross)h(sections,)f(according)f(to)g Fj(h)1413
23630 4369 y Fk(?)1472 4354 y Fw(\()p Fj(p)1559 4318 y Fl(2)1559
23631 4379 y Fk(?)1618 4354 y Fw(\))17 b(d)p Fj(p)1776 4318
23632 y Fl(2)1776 4379 y Fk(?)1835 4354 y Fw(,)33 b(where)889
23633 4618 y Fj(h)945 4633 y Fk(?)1004 4618 y Fw(\()p Fj(p)1091
23634 4577 y Fl(2)1091 4643 y Fk(?)1150 4618 y Fw(\))28 b(=)1335
23635 4551 y Fj(c)1377 4566 y Fl(1)p 1329 4595 94 4 v 1329
23636 4687 a Fn(I)1383 4702 y Fl(1)1455 4618 y Fw(+)1569 4551
23637 y Fj(c)1611 4566 y Fl(2)p 1563 4595 V 1563 4687 a Fn(I)1617
23638 4702 y Fl(2)1854 4551 y Fw(1)p 1693 4595 372 4 v 1693
23639 4687 a Fj(m)1778 4652 y Fl(2)1778 4711 y Fh(R)1858 4687
23640 y Fw(+)22 b Fj(p)2005 4652 y Fl(2)2005 4712 y Fk(?)2096
23641 4618 y Fw(+)2210 4551 y Fj(c)2252 4566 y Fl(3)p 2204
23642 4595 94 4 v 2204 4687 a Fn(I)2258 4702 y Fl(3)2553 4551
23643 y Fw(1)p 2335 4595 487 4 v 2335 4687 a(\()p Fj(m)2458
23644 4652 y Fl(2)2458 4711 y Fh(R)2538 4687 y Fw(+)g Fj(p)2685
23645 4652 y Fl(2)2685 4712 y Fk(?)2744 4687 y Fw(\))2782 4658
23646 y Fl(2)2864 4618 y Fj(;)715 b Fw(\(92\))0 4889 y(with)35
23647 b Fj(m)310 4904 y Fh(R)403 4889 y Fw(the)h(W)h(or)e(Z)g(mass,)i(dep)s
23648 (ending)e(on)g(pro)s(cess,)j(and)d Fj(c)2413 4904 y Fl(1)2485
23649 4889 y Fw(=)e Fj(c)2636 4904 y Fl(2)2708 4889 y Fw(=)f(0)p
23650 Fj(:)p Fw(05,)k Fj(c)3095 4904 y Fl(3)3167 4889 y Fw(=)c(0)p
23651 Fj(:)p Fw(9.)52 b(Within)0 4997 y(the)31 b(limits)d(giv)m(en)j(b)m(y)h
23652 (the)f(other)g(v)-5 b(ariable)29 b(c)m(hoices,)j(the)f(rapidit)m(y)f
23653 Fj(y)2541 5012 y Fl(5)2611 4997 y Fw(is)g(c)m(hosen)j(uniformly)-8
23654 b(.)40 b(A)31 b(\014nal)0 5106 y(c)m(hoice)45 b(remains)e(to)h(b)s(e)h
23655 (made,)h(whic)m(h)f(comes)g(from)e(a)h(t)m(w)m(ofold)g(am)m(biguit)m(y)
23656 e(of)i(exc)m(hanging)h(the)0 5214 y(longitudinal)28 b(momen)m(ta)j(of)h
23657 (partons)g(3)f(and)h(4)g(\(with)g(minor)e(mo)s(di\014cations)g(if)g
23658 (they)j(are)f(massiv)m(e\).)0 5322 y(Here)42 b(the)g(relativ)m(e)f(w)m
23659 (eigh)m(t)h(can)f(b)s(e)h(obtained)f(exactly)h(from)e(the)i(form)e(of)h
23660 (the)h(matrix)e(elemen)m(t)0 5431 y(itself.)146 5539
23661 y(No)h(go)s(o)s(d)e(phase-space)k(c)m(hoice)e(w)m(as)g(found)g(for)f
23662 (the)h(pro)s(cess)h(gg)g Fn(!)f Fw(Z)2893 5503 y Fl(0)2932
23663 5539 y Fw(b)p 2986 5460 55 4 v(b)q(.)67 b(This)41 b(pro)s(cess)h(is)0
23664 5647 y(therefore)h(not)g(so)g(easy)g(to)f(generate)i(with)e
23665 Fm(Pythia)p Fw(.)74 b(What)42 b(is)h(curren)m(tly)g(done)g(is)f(to)g
23666 (use)i(the)1817 5953 y(103)p eop
23667 %%Page: 104 110
23668 104 109 bop 0 -18 a Fw(basic)34 b(formalism)d(of)i(2)d
23669 Fn(!)g Fw(2)k(pro)s(cesses,)j(where)e(the)g(b)23 b(+)p
23670 2185 -98 55 4 v 23 w(b)34 b(system)h(is)f(considered)h(as)f(an)g
23671 (e\013ectiv)m(e)0 90 y(`resonance'.)44 b(Tw)m(o)30 b(masses)h(are)e
23672 (then)h(selected,)h(the)f(Z)2062 54 y Fl(0)2131 90 y
23673 Fw(one)f(according)g(to)g(eq.)i(\(88\))d(and)i(the)g(b)16
23674 b(+)p 3726 11 V 16 w(b)0 198 y(one)36 b(according)f(to)g(d)p
23675 Fj(m)885 162 y Fl(2)925 198 y Fj(=m)1059 162 y Fl(2)1099
23676 198 y Fw(.)53 b(Both)35 b(`deca)m(ys')j(are)e(selected)h(isotropically)
23677 c(in)h(the)j(resp)s(ectiv)m(e)g(rest)0 307 y(frame,)g(to)f(giv)m(e)h
23678 (the)g(\014nal)f(four)h(fermions)e(in)h(terms)h(of)f(whic)m(h)i(the)f
23679 (matrix)e(elemen)m(t)i(is)f(giv)m(en.)56 b(In)0 415 y(addition,)31
23680 b Fj(\034)11 b Fw(,)33 b Fj(y)j Fw(and)c Fj(z)38 b Fw(are)32
23681 b(selected)i(according)e(to)g(the)h(standard)g(rules)g(for)f(2)27
23682 b Fn(!)g Fw(2)33 b(pro)s(cesses.)0 689 y Fp(7.6)135 b(Resonance)46
23683 b(Deca)l(ys)0 861 y Fw(Resonances)40 b(can)e(b)s(e)g(made)g(to)g(deca)m
23684 (y)h(in)e(t)m(w)m(o)i(di\013eren)m(t)f(routines.)60 b(One)39
23685 b(is)e(the)i(standard)f(deca)m(y)0 970 y(treatmen)m(t)23
23686 b(\(in)g Fq(LUDECY)p Fw(\))h(that)g(can)f(b)s(e)h(used)g(for)f(an)m(y)h
23687 (unstable)f(particle,)h(where)h(deca)m(y)f(c)m(hannels)g(are)0
23688 1078 y(c)m(hosen)36 b(according)d(to)h(\014xed)i(probabilities,)c(and)i
23689 (deca)m(y)h(angles)f(usually)g(are)g(pic)m(k)m(ed)h(isotropically)0
23690 1187 y(in)k(the)h(rest)g(frame)e(of)h(the)h(resonance,)j(see)d(section)
23691 g(13.3.)63 b(The)41 b(more)d(sophisticated)i(treatmen)m(t)0
23692 1295 y(\(in)30 b Fq(PYRESD)p Fw(\))i(is)e(the)h(default)f(one)h(for)g
23693 (resonances)h(pro)s(duced)g(in)e Fm(Pythia)p Fw(,)h(and)g(is)f(describ)
23694 s(ed)i(here.)0 1403 y(The)k(follo)m(wing)c(are)j(included)g(in)f(the)i
23695 (list)d(of)i(resonances:)50 b(Z)2327 1367 y Fl(0)2366
23696 1403 y Fw(,)36 b(W)2530 1367 y Fk(\006)2589 1403 y Fw(,)g(H)2725
23697 1367 y Fl(0)2765 1403 y Fw(,)f(Z)2887 1367 y Fk(0)p Fl(0)2946
23698 1403 y Fw(,)g(W)3109 1367 y Fk(0\006)3188 1403 y Fw(,)h(H)3324
23699 1367 y Fk(0)p Fl(0)3382 1403 y Fw(,)g(A)3518 1367 y Fl(0)3558
23700 1403 y Fw(,)f(H)3693 1367 y Fk(\006)3752 1403 y Fw(,)0
23701 1512 y Fj(\021)52 1475 y Fl(0)48 1536 y(tec)n(h)180 1512
23702 y Fw(,)43 b(L)311 1527 y Fl(Q)370 1512 y Fw(,)g(and)e(R)710
23703 1475 y Fl(0)749 1512 y Fw(.)69 b(The)42 b(top)f(is)f(also)g(considered)
23704 i(as)f(a)g(resonance)h(if)e(it)g(is)h(assumed)g(to)g(deca)m(y)0
23705 1620 y(b)s(efore)31 b(it)g(has)g(time)f(to)h(fragmen)m(t.)42
23706 b(Lik)m(ewise)32 b(for)f(the)g(fourth)g(generation)g(fermions.)42
23707 b(If)31 b(the)h(fourth)0 1728 y(generation)37 b(is)g(used)i(to)f
23708 (represen)m(t)h(excited)g(quarks)g(and)f(leptons,)h(these)g(are)e(also)
23709 g(considered)i(to)0 1837 y(b)s(e)33 b(resonances.)0 2084
23710 y Fo(7.6.1)112 b(The)38 b(deca)m(y)g(sc)m(heme)0 2257
23711 y Fw(In)h(the)h(b)s(eginning)e(of)g(the)i(deca)m(y)g(treatmen)m(t,)h
23712 (either)e(one)g(or)g(t)m(w)m(o)h(resonances)h(ma)m(y)d(b)s(e)i(presen)m
23713 (t,)0 2365 y(the)g(former)f(represen)m(ted)j(b)m(y)e(pro)s(cesses)i
23714 (suc)m(h)f(as)e(q)p 1994 2312 52 4 v(q)2046 2329 y Fk(0)2109
23715 2365 y Fn(!)g Fw(W)2349 2329 y Fl(+)2448 2365 y Fw(and)h(qg)h
23716 Fn(!)e Fw(W)3026 2329 y Fl(+)3086 2365 y Fw(q)3137 2329
23717 y Fk(0)3161 2365 y Fw(,)i(the)f(latter)f(b)m(y)0 2474
23718 y(q)p 51 2421 V(q)33 b Fn(!)f Fw(W)368 2438 y Fl(+)428
23719 2474 y Fw(W)529 2438 y Fk(\000)589 2474 y Fw(.)51 b(If)35
23720 b(the)h(latter)e(is)h(the)h(case,)h(the)f(deca)m(y)g(of)f(the)h(t)m(w)m
23721 (o)g(resonances)h(is)e(considered)h(in)0 2582 y(parallel)30
23722 b(\(unlik)m(e)i Fq(LUDECY)p Fw(,)i(where)g(one)f(particle)e(at)h(a)h
23723 (time)e(is)h(made)g(to)g(deca)m(y\).)146 2690 y(First)e(the)h(deca)m(y)
23724 h(c)m(hannel)g(of)e(eac)m(h)i(resonance)g(is)e(selected)i(according)e
23725 (to)g(the)i(relativ)m(e)e(w)m(eigh)m(ts)0 2819 y Fj(H)89
23726 2768 y Fl(\()p Fh(f)7 b Fl(\))81 2843 y Fh(R)189 2819
23727 y Fw(,)38 b(as)f(describ)s(ed)g(ab)s(o)m(v)m(e,)i(ev)-5
23728 b(aluated)37 b(at)f(the)h(actual)f(mass)h(of)f(the)i(resonance,)h
23729 (rather)e(than)g(at)0 2927 y(the)d(nominal)d(one.)47
23730 b(Threshold)34 b(factors)f(are)h(therefore)g(fully)e(tak)m(en)j(in)m
23731 (to)e(accoun)m(t,)h(with)g(c)m(hannels)0 3035 y(automatically)c(switc)m
23732 (hed)36 b(o\013)d(b)s(elo)m(w)h(the)g(threshold.)48 b(Normally)31
23733 b(the)j(masses)h(of)f(the)g(deca)m(y)h(pro)s(d-)0 3144
23734 y(ucts)j(are)e(w)m(ell-de\014ned,)i(but)f(e.g.)57 b(in)36
23735 b(deca)m(ys)i(lik)m(e)e(H)2016 3108 y Fl(0)2090 3144
23736 y Fn(!)f Fw(W)2326 3108 y Fl(+)2385 3144 y Fw(W)2486
23737 3108 y Fk(\000)2583 3144 y Fw(it)g(is)i(also)e(necessary)40
23738 b(to)c(select)0 3252 y(the)j(deca)m(y)h(pro)s(duct)e(masses.)62
23739 b(This)38 b(is)g(done)h(according)f(to)g(t)m(w)m(o)h(Breit{Wigners)e
23740 (of)h(the)h(t)m(yp)s(e)g(in)0 3360 y(eq.)33 b(\(80\),)f(m)m(ultiplied)e
23741 (b)m(y)j(the)g(threshold)g(factor,)f(whic)m(h)h(dep)s(ends)i(on)d(b)s
23742 (oth)g(masses.)146 3469 y(Next)46 b(the)e(deca)m(y)i(angles)e(of)g(the)
23743 h(resonance)h(are)e(selected)h(isotropically)d(in)h(its)h(rest)h
23744 (frame.)0 3577 y(Normally)38 b(the)j(full)e(range)h(of)g(deca)m(y)i
23745 (angles)e(is)g(a)m(v)-5 b(ailable,)40 b(but)h(in)f(2)h
23746 Fn(!)f Fw(1)h(pro)s(cesses)h(the)f(deca)m(y)0 3686 y(angles)25
23747 b(of)g(the)h(original)c(resonance)k(ma)m(y)f(b)s(e)h(restrained)g(b)m
23748 (y)g(user)g(cuts,)i(e.g.)41 b(on)25 b(the)h Fj(p)3192
23749 3701 y Fk(?)3276 3686 y Fw(of)f(the)h(deca)m(y)0 3794
23750 y(pro)s(ducts.)48 b(Based)35 b(on)f(the)g(angles,)g(the)h(four-momen)m
23751 (ta)d(of)h(the)i(deca)m(y)g(pro)s(ducts)g(are)f(constructed)0
23752 3902 y(and)i(b)s(o)s(osted)h(to)f(the)h(correct)g(frame.)54
23753 b(As)37 b(a)f(rule,)h(matrix)e(elemen)m(ts)h(are)h(giv)m(en)f(with)g
23754 (quark)h(and)0 4011 y(lepton)e(masses)h(assumed)g(v)-5
23755 b(anishing.)51 b(Therefore)36 b(the)g(four-momen)m(tum)d(v)m(ectors)k
23756 (constructed)g(at)0 4119 y(this)32 b(stage)h(are)g(actually)e(massless)
23757 i(for)f(all)e(quarks)k(and)f(leptons.)146 4227 y(The)k(matrix)c(elemen)
23758 m(ts)j(ma)m(y)f(no)m(w)h(b)s(e)g(ev)-5 b(aluated.)51
23759 b(F)-8 b(or)35 b(a)g(pro)s(cess)i(suc)m(h)f(as)g(q)p
23760 3110 4174 V(q)d Fn(!)f Fw(W)3427 4191 y Fl(+)3487 4227
23761 y Fw(W)3588 4191 y Fk(\000)3680 4227 y Fn(!)0 4336 y
23762 Fw(e)43 4299 y Fl(+)102 4336 y Fj(\027)150 4351 y Fl(e)186
23763 4336 y Fj(\026)245 4299 y Fk(\000)p 304 4283 55 4 v 304
23764 4336 a Fj(\027)358 4351 y Fh(\026)405 4336 y Fw(,)47
23765 b(the)d(matrix)f(elemen)m(t)h(is)f(a)h(function)g(of)f(the)i
23766 (four-momen)m(ta)d(of)i(the)g(t)m(w)m(o)h(incoming)0
23767 4444 y(fermions)g(and)g(of)h(the)g(four)f(outgoing)f(ones.)84
23768 b(An)46 b(upp)s(er)g(limit)c(for)k(the)g(ev)m(en)m(t)h(w)m(eigh)m(t)f
23769 (can)g(b)s(e)0 4552 y(constructed)32 b(from)e(the)h(cross)h(section)f
23770 (for)f(the)h(basic)f(pro)s(cess)i(q)p 2425 4499 52 4
23771 v(q)d Fn(!)e Fw(W)2733 4516 y Fl(+)2793 4552 y Fw(W)2894
23772 4516 y Fk(\000)2954 4552 y Fw(,)k(as)g(already)f(used)i(to)0
23773 4661 y(select)g(the)g(t)m(w)m(o)h(W)g(momen)m(ta.)42
23774 b(If)31 b(the)h(w)m(eigh)m(ting)g(fails,)e(new)i(resonance)h(deca)m(y)g
23775 (angles)f(are)f(pic)m(k)m(ed)0 4769 y(and)i(the)g(pro)s(cedure)g(is)f
23776 (iterated)g(un)m(til)g(acceptance.)146 4877 y(Based)e(on)g(the)g
23777 (accepted)g(set)g(of)f(angles,)h(the)g(correct)g(deca)m(y)g(pro)s(duct)
23778 g(four-momen)m(ta)d(are)j(con-)0 4986 y(structed,)k(including)d
23779 (previously)i(neglected)h(fermion)d(masses.)45 b(Quarks)34
23780 b(and,)f(optionally)-8 b(,)30 b(leptons)0 5094 y(are)25
23781 b(allo)m(w)m(ed)g(to)f(radiate,)i(using)f(the)h(standard)f
23782 (\014nal-state)g(sho)m(w)m(ering)g(mac)m(hinery)-8 b(,)27
23783 b(with)e(maxim)m(um)0 5202 y(virtualit)m(y)31 b(giv)m(en)i(b)m(y)g(the)
23784 g(resonance)h(mass.)146 5311 y(In)28 b(some)g(deca)m(ys)h(new)g
23785 (resonances)g(are)f(pro)s(duced,)h(and)f(these)h(are)f(then)g
23786 (subsequen)m(tly)i(allo)m(w)m(ed)0 5419 y(to)e(deca)m(y)-8
23787 b(.)44 b(Only)28 b(one)i(resonance)g(pair)d(is)i(considered)h(at)e(a)h
23788 (time,)f(i.e.)42 b(it)27 b(is)i(not)f(p)s(ossible)h(to)f(include)0
23789 5527 y(correlations)h(whic)m(h)j(in)m(v)m(olv)m(e)f(the)g(sim)m
23790 (ultaneous)e(deca)m(y)k(of)d(three)h(or)f(more)g(resonances.)45
23791 b(This)31 b(is)f(in)0 5636 y(fact)g(all)f(that)h(is)g(curren)m(tly)i
23792 (needed:)44 b(in)30 b(a)g(pro)s(cess)i(lik)m(e)d(q)p
23793 2163 5583 V(q)g Fn(!)e Fw(Z)2430 5600 y Fl(0)2469 5636
23794 y Fw(H)2542 5600 y Fl(0)2610 5636 y Fn(!)g Fw(Z)2797
23795 5600 y Fl(0)2836 5636 y Fw(W)2937 5600 y Fl(+)2997 5636
23796 y Fw(W)3098 5600 y Fk(\000)3185 5636 y Fn(!)g Fw(6)j(fermions,)1817
23797 5953 y(104)p eop
23798 %%Page: 105 111
23799 105 110 bop 0 -18 a Fw(the)33 b(spinless)f(nature)h(of)e(the)i(H)1181
23800 -55 y Fl(0)1253 -18 y Fw(ensures)h(that)e(the)g(W)2074
23801 -55 y Fk(\006)2166 -18 y Fw(deca)m(ys)i(are)f(decoupled)f(from)f(that)h
23802 (of)g(the)0 90 y(Z)60 54 y Fl(0)132 90 y Fw(\(but)g(not)h(from)e(eac)m
23803 (h)j(other\).)0 338 y Fo(7.6.2)112 b(Cross-section)38
23804 b(considerations)0 510 y Fw(The)30 b(cross)g(section)g(for)f(a)g(pro)s
23805 (cess)h(whic)m(h)g(in)m(v)m(olv)m(es)g(the)g(pro)s(duction)e(of)h(one)h
23806 (or)f(sev)m(eral)h(resonances)0 619 y(is)j(alw)m(a)m(ys)i(reduced)g(to)
23807 f(tak)m(e)h(in)m(to)e(accoun)m(t)i(c)m(hannels)f(not)g(allo)m(w)m(ed)f
23808 (b)m(y)i(user)g(\015ags.)48 b(This)34 b(is)f(trivial)0
23809 727 y(for)j(a)g(single)g Fj(s)p Fw(-c)m(hannel)g(resonance,)j(cf.)56
23810 b(eq.)37 b(\(77\),)g(but)g(can)g(also)e(b)s(e)i(included)f(appro)m
23811 (ximately)g(if)0 835 y(sev)m(eral)j(la)m(y)m(ers)h(of)e(resonance)i
23812 (deca)m(ys)g(are)f(in)m(v)m(olv)m(ed.)62 b(A)m(t)39 b(initialization,)c
23813 (the)k(ratio)e(b)s(et)m(w)m(een)k(the)0 944 y(user-allo)m(w)m(ed)31
23814 b(width)h(and)f(the)h(nominally)d(p)s(ossible)i(one)h(is)f(ev)-5
23815 b(aluated)31 b(and)h(stored,)g(starting)f(from)0 1052
23816 y(the)f(ligh)m(test)e(resonances)j(and)e(mo)m(ving)f(up)m(w)m(ards.)44
23817 b(As)30 b(an)f(example,)g(one)g(\014rst)h(\014nds)g(the)f(reduction)0
23818 1160 y(factors)34 b(for)f(W)570 1124 y Fl(+)663 1160
23819 y Fw(and)h(for)f(W)1105 1124 y Fk(\000)1198 1160 y Fw(deca)m(ys,)j
23820 (whic)m(h)e(need)h(not)f(b)s(e)f(the)h(same)g(if)e(e.g.)47
23821 b(W)3152 1124 y Fl(+)3246 1160 y Fw(is)33 b(allo)m(w)m(ed)g(to)0
23822 1269 y(deca)m(y)38 b(only)d(to)h(quarks)i(and)e(W)1228
23823 1233 y Fk(\000)1323 1269 y Fw(only)g(to)g(leptons.)54
23824 b(These)38 b(factors)e(en)m(ter)i(together)e(as)g(a)g(w)m(eigh)m(t)0
23825 1377 y(for)31 b(the)h(H)388 1341 y Fl(0)455 1377 y Fn(!)c
23826 Fw(W)684 1341 y Fl(+)743 1377 y Fw(W)844 1341 y Fk(\000)936
23827 1377 y Fw(c)m(hannel,)k(whic)m(h)g(is)f(th)m(us)i(reduced)g(in)e(imp)s
23828 (ortance)g(compared)g(with)g(other)0 1485 y(p)s(ossible)h(Higgs)h(deca)
23829 m(y)h(c)m(hannels.)47 b(This)33 b(is)g(also)f(re\015ected)j(in)d(the)i
23830 (w)m(eigh)m(t)f(factor)g(of)f(the)i(H)3476 1449 y Fl(0)3549
23831 1485 y Fw(itself,)0 1594 y(where)e(some)e(c)m(hannels)h(are)f(op)s(en)h
23832 (in)e(full,)g(others)i(completely)f(closed,)h(and)f(\014nally)f(some)h
23833 (\(lik)m(e)g(the)0 1702 y(one)i(ab)s(o)m(v)m(e\))g(op)s(en)f(but)h
23834 (with)f(reduced)i(w)m(eigh)m(t.)43 b(Finally)-8 b(,)29
23835 b(the)j(w)m(eigh)m(t)g(for)f(the)g(pro)s(cess)i(q)p 3361
23836 1649 52 4 v(q)c Fn(!)e Fw(Z)3628 1666 y Fl(0)3667 1702
23837 y Fw(H)3740 1666 y Fl(0)0 1810 y Fw(is)35 b(ev)-5 b(aluated)36
23838 b(as)g(the)g(pro)s(duct)g(of)g(the)g(Z)1550 1774 y Fl(0)1625
23839 1810 y Fw(w)m(eigh)m(t)g(factor)f(and)h(the)h(H)2657
23840 1774 y Fl(0)2732 1810 y Fw(one.)53 b(The)37 b(standard)g(cross)0
23841 1919 y(section)c(of)f(the)h(pro)s(cess)h(is)e(m)m(ultiplied)d(with)j
23842 (this)g(w)m(eigh)m(t.)146 2027 y(Since)k(the)g(restriction)f(on)g(allo)
23843 m(w)m(ed)g(deca)m(y)i(mo)s(des)f(is)f(already)g(included)h(in)e(the)j
23844 (hard)e(pro)s(cess)0 2135 y(cross)23 b(section,)h(mixing)c(of)i
23845 (di\013eren)m(t)g(ev)m(en)m(t)i(t)m(yp)s(es)g(is)d(greatly)h
23846 (simpli\014ed,)g(and)g(the)h(selection)e(of)h(deca)m(y)0
23847 2244 y(c)m(hannel)39 b(c)m(hains)f(is)g(straigh)m(tforw)m(ard.)60
23848 b(There)39 b(is)f(a)g(price)g(to)g(b)s(e)h(paid,)f(ho)m(w)m(ev)m(er.)63
23849 b(The)39 b(reduction)0 2352 y(factors)k(ev)-5 b(aluated)43
23850 b(at)f(initialization)c(all)j(refer)i(to)g(resonances)i(at)e(their)f
23851 (nominal)f(masses.)75 b(F)-8 b(or)0 2460 y(instance,)42
23852 b(the)e(W)i(reduction)e(factor)f(is)g(ev)-5 b(aluated)40
23853 b(at)g(the)g(nominal)d(W)k(mass,)h(ev)m(en)g(when)f(that)0
23854 2569 y(factor)29 b(is)g(used,)i(later)d(on,)i(in)e(the)i(description)f
23855 (of)g(the)g(deca)m(y)i(of)e(a)g(120)f(GeV)h(Higgs,)h(where)g(at)f
23856 (least)0 2677 y(one)e(W)h(w)m(ould)e(b)s(e)h(pro)s(duced)h(b)s(elo)m(w)
23857 e(this)g(mass.)42 b(W)-8 b(e)27 b(kno)m(w)h(of)e(no)g(case)i(where)f
23858 (this)g(appro)m(ximation)0 2785 y(has)33 b(an)m(y)g(serious)g
23859 (consequences,)j(ho)m(w)m(ev)m(er.)146 2894 y(The)44
23860 b(w)m(eigh)m(ting)f(pro)s(cedure)g(w)m(orks)i(b)s(ecause)f(the)f(n)m
23861 (um)m(b)s(er)h(of)e(resonances)j(to)d(b)s(e)i(pro)s(duced,)0
23862 3002 y(directly)c(or)h(in)f(subsequen)m(t)45 b(deca)m(ys,)g(can)c(b)s
23863 (e)g(deriv)m(ed)h(recursiv)m(ely)g(already)f(from)f(the)h(start.)69
23864 b(It)0 3111 y(do)s(es)45 b(not)f(w)m(ork)h(for)e(particles)h(whic)m(h)h
23865 (could)e(also)h(b)s(e)g(pro)s(duced)h(at)f(later)f(stages,)48
23866 b(suc)m(h)e(as)e(the)0 3219 y(parton-sho)m(w)m(er)27
23867 b(ev)m(olution)d(and)i(the)g(fragmen)m(tation.)39 b(F)-8
23868 b(or)25 b(instance,)i(D)2695 3183 y Fl(0)2759 3219 y
23869 Fw(mesons)f(can)g(b)s(e)g(pro)s(duced)0 3327 y(fairly)32
23870 b(late)i(in)f(the)i(ev)m(en)m(t)h(generation)e(c)m(hain,)h(in)e(unkno)m
23871 (wn)j(n)m(um)m(b)s(ers,)g(and)e(so)h(w)m(eigh)m(ts)g(could)f(not)0
23872 3436 y(b)s(e)h(in)m(tro)s(duced)g(to)f(comp)s(ensate,)h(e.g.)50
23873 b(for)34 b(the)h(forcing)e(of)h(deca)m(ys)j(only)d(in)m(to)g
23874 Fj(\031)3045 3399 y Fl(+)3104 3436 y Fw(K)3180 3399 y
23875 Fk(\000)3239 3436 y Fw(.)49 b(F)-8 b(or)34 b(similar)0
23876 3544 y(reasons)42 b(the)f(top)g(is)g(only)f(considered)i(as)f(a)g
23877 (resonance)h(if)e(it)g(is)h(not)f(allo)m(w)m(ed)h(to)f(hadronize;)45
23878 b(see)0 3652 y(discussion)33 b(in)f(section)g(8.2.2.)146
23879 3761 y(One)46 b(should)e(note)h(that)g(this)f(reduction)h(factor)g(is)f
23880 (separate)h(from)f(the)h(description)g(of)f(the)0 3869
23881 y(resonance)35 b(shap)s(e)g(itself,)e(where)i(the)f(full)e(width)i(of)f
23882 (the)i(resonance)g(has)f(to)g(b)s(e)g(used.)49 b(This)34
23883 b(width)0 3977 y(is)k(based)i(on)f(the)g(sum)g(of)g(all)d(p)s(ossible)j
23884 (deca)m(y)h(mo)s(des,)g(not)f(just)g(the)h(sim)m(ulated)d(ones.)63
23885 b Fm(Pythia)0 4086 y Fw(do)s(es)35 b(allo)m(w)e(the)j(p)s(ossibilit)m
23886 (y)c(to)j(c)m(hange)g(also)f(the)h(underlying)g(ph)m(ysics)h(scenario,)
23887 f(e.g.)51 b(to)34 b(include)0 4194 y(the)f(deca)m(y)h(of)e(a)g(Z)691
23888 4158 y Fl(0)763 4194 y Fw(in)m(to)g(a)g(fourth-generation)f(neutrino.)
23889 146 4302 y(Normally)45 b(the)j(ev)-5 b(aluation)45 b(of)i(the)h
23890 (reduction)f(factors)g(is)g(straigh)m(tforw)m(ard.)87
23891 b(Ho)m(w)m(ev)m(er,)53 b(for)0 4411 y(deca)m(ys)35 b(in)m(to)e(a)g
23892 (pair)f(of)h(equal)g(or)g(c)m(harge-conjugate)g(resonances,)j(suc)m(h)e
23893 (as)g(Z)2943 4374 y Fl(0)2982 4411 y Fw(Z)3042 4374 y
23894 Fl(0)3114 4411 y Fw(or)f(W)3335 4374 y Fl(+)3395 4411
23895 y Fw(W)3496 4374 y Fk(\000)3555 4411 y Fw(,)h(it)e(is)0
23896 4519 y(p)s(ossible)d(to)h(pic)m(k)g(com)m(binations)f(in)g(suc)m(h)i(a)
23897 f(w)m(a)m(y)h(that)f(the)h(w)m(eigh)m(t)f(of)f(the)i(pair)e(do)s(es)h
23898 (not)g(factorize)0 4627 y(in)m(to)37 b(a)h(pro)s(duct)h(of)e(the)i(w)m
23899 (eigh)m(t)f(of)g(eac)m(h)h(resonance)g(itself.)59 b(T)-8
23900 b(o)38 b(b)s(e)g(precise,)j(an)m(y)e(deca)m(y)g(c)m(hannel)0
23901 4736 y(can)33 b(b)s(e)g(giv)m(en)f(sev)m(en)j(di\013eren)m(t)e(status)g
23902 (co)s(des:)145 4849 y Fn(\017)49 b(\000)p Fw(1:)44 b(a)32
23903 b(non-existen)m(t)h(deca)m(y)h(mo)s(de,)e(completely)g(switc)m(hed)h
23904 (o\013)g(and)f(of)g(no)h(concern)h(to)e(us;)145 4967
23905 y Fn(\017)49 b Fw(0:)43 b(an)33 b(existing)f(deca)m(y)h(c)m(hannel,)h
23906 (whic)m(h)f(is)f(switc)m(hed)i(o\013;)145 5084 y Fn(\017)49
23907 b Fw(1:)43 b(a)32 b(c)m(hannel)h(whic)m(h)g(is)g(switc)m(hed)g(on;)145
23908 5202 y Fn(\017)49 b Fw(2:)43 b(a)32 b(c)m(hannel)h(switc)m(hed)h(on)f
23909 (for)f(particles,)g(but)g(o\013)h(for)f(an)m(tiparticles;)145
23910 5320 y Fn(\017)49 b Fw(3:)43 b(a)32 b(c)m(hannel)h(switc)m(hed)h(on)f
23911 (for)f(an)m(tiparticles,)f(but)i(o\013)f(for)g(particles;)145
23912 5438 y Fn(\017)49 b Fw(4:)43 b(a)32 b(c)m(hannel)h(switc)m(hed)h(on)f
23913 (for)f(one)h(of)f(the)h(resonances,)h(but)f(not)f(for)h(b)s(oth;)145
23914 5555 y Fn(\017)49 b Fw(5:)43 b(a)32 b(c)m(hannel)h(switc)m(hed)h(on)f
23915 (for)f(the)h(other)f(of)h(the)g(resonances,)h(but)f(not)f(for)g(b)s
23916 (oth.)1817 5953 y(105)p eop
23917 %%Page: 106 112
23918 106 111 bop 0 -18 a Fw(The)38 b(meaning)d(of)h(p)s(ossibilities)e(4)j
23919 (and)g(5)f(is)g(exempli\014ed)h(b)m(y)g(the)h(statemen)m(t)f(`in)f(a)g
23920 (W)3327 -55 y Fl(+)3387 -18 y Fw(W)3488 -55 y Fk(\000)3584
23921 -18 y Fw(pair,)0 90 y(one)30 b(W)i(deca)m(ys)f(hadronically)d(and)i
23922 (the)g(other)g(leptonically',)f(whic)m(h)h(th)m(us)h(co)m(v)m(ers)h
23923 (the)e(cases)h(where)0 198 y(either)h(W)377 162 y Fl(+)470
23924 198 y Fw(or)g(W)690 162 y Fk(\000)782 198 y Fw(deca)m(ys)i
23925 (hadronically)-8 b(.)146 307 y(Neglecting)32 b(non-existing)g(c)m
23926 (hannels,)i(eac)m(h)f(c)m(hannel)g(b)s(elongs)g(to)f(either)g(of)h(the)
23927 g(classes)h(ab)s(o)m(v)m(e.)0 415 y(If)i(w)m(e)h(denote)g(the)g(total)d
23928 (branc)m(hing)i(ratio)f(in)m(to)g(c)m(hannels)i(of)f(t)m(yp)s(e)h
23929 Fj(i)f Fw(b)m(y)h Fj(r)2855 430 y Fh(i)2883 415 y Fw(,)g(this)f(then)h
23930 (translates)0 523 y(in)m(to)29 b(the)h(requiremen)m(t)g
23931 Fj(r)943 538 y Fl(0)999 523 y Fw(+)16 b Fj(r)1135 538
23932 y Fl(1)1191 523 y Fw(+)g Fj(r)1327 538 y Fl(2)1383 523
23933 y Fw(+)g Fj(r)1519 538 y Fl(3)1576 523 y Fw(+)g Fj(r)1712
23934 538 y Fl(4)1768 523 y Fw(+)g Fj(r)1904 538 y Fl(5)1971
23935 523 y Fw(=)28 b(1.)42 b(F)-8 b(or)29 b(a)g(single)g(particle)g(the)h(w)
23936 m(eigh)m(t)g(factor)0 632 y(is)f Fj(r)139 647 y Fl(1)195
23937 632 y Fw(+)17 b Fj(r)332 647 y Fl(2)388 632 y Fw(+)g
23938 Fj(r)525 647 y Fl(4)564 632 y Fw(,)30 b(and)g(for)f(a)h(single)f(an)m
23939 (tiparticle)f Fj(r)1861 647 y Fl(1)1917 632 y Fw(+)17
23940 b Fj(r)2054 647 y Fl(3)2109 632 y Fw(+)g Fj(r)2246 647
23941 y Fl(4)2285 632 y Fw(.)43 b(F)-8 b(or)29 b(a)g(pair)g(of)g(iden)m
23942 (tical)g(resonances,)0 740 y(the)k(join)m(t)f(w)m(eigh)m(t)h(is)f
23943 (instead)1044 948 y(\()p Fj(r)1126 963 y Fl(1)1187 948
23944 y Fw(+)22 b Fj(r)1329 963 y Fl(2)1369 948 y Fw(\))1407
23945 907 y Fl(2)1468 948 y Fw(+)g(2\()p Fj(r)1697 963 y Fl(1)1758
23946 948 y Fw(+)g Fj(r)1900 963 y Fl(2)1940 948 y Fw(\)\()p
23947 Fj(r)2060 963 y Fl(4)2121 948 y Fw(+)g Fj(r)2263 963
23948 y Fl(5)2303 948 y Fw(\))g(+)g(2)p Fj(r)2554 963 y Fl(4)2593
23949 948 y Fj(r)2637 963 y Fl(5)2709 948 y Fj(;)870 b Fw(\(93\))0
23950 1156 y(and)33 b(for)f(a)g(resonance{an)m(tiresonance)i(pair)780
23951 1364 y(\()p Fj(r)862 1379 y Fl(1)924 1364 y Fw(+)22 b
23952 Fj(r)1066 1379 y Fl(2)1105 1364 y Fw(\)\()p Fj(r)1225
23953 1379 y Fl(1)1287 1364 y Fw(+)g Fj(r)1429 1379 y Fl(3)1468
23954 1364 y Fw(\))g(+)g(\(2)p Fj(r)1757 1379 y Fl(1)1818 1364
23955 y Fw(+)g Fj(r)1960 1379 y Fl(2)2022 1364 y Fw(+)g Fj(r)2164
23956 1379 y Fl(3)2203 1364 y Fw(\)\()p Fj(r)2323 1379 y Fl(4)2385
23957 1364 y Fw(+)g Fj(r)2527 1379 y Fl(5)2566 1364 y Fw(\))g(+)g(2)p
23958 Fj(r)2817 1379 y Fl(4)2856 1364 y Fj(r)2900 1379 y Fl(5)2972
23959 1364 y Fj(:)607 b Fw(\(94\))0 1572 y(If)30 b(some)g(c)m(hannels)h(come)
23960 f(with)g(a)g(reduced)h(w)m(eigh)m(t)g(b)s(ecause)g(of)f(restrictions)g
23961 (on)g(subsequen)m(t)j(deca)m(y)0 1680 y(c)m(hains,)d(this)e(ma)m(y)g(b)
23962 s(e)g(describ)s(ed)i(in)d(terms)i(of)f(prop)s(erly)g(reduced)h
23963 Fj(r)2541 1695 y Fh(i)2570 1680 y Fw(,)g(so)f(that)h(the)f(sum)h(is)f
23964 (less)g(than)0 1788 y(unit)m(y)-8 b(.)47 b(F)-8 b(or)33
23965 b(instance,)h(in)f(a)h(t)p 1108 1717 38 4 v(t)29 b Fn(!)g
23966 Fw(bW)1459 1752 y Fl(+)p 1536 1709 55 4 v 1536 1788 a
23967 Fw(bW)1691 1752 y Fk(\000)1784 1788 y Fw(pro)s(cess,)36
23968 b(the)e(W)h(deca)m(y)g(mo)s(des)f(ma)m(y)f(b)s(e)h(restricted)0
23969 1897 y(to)28 b(W)216 1861 y Fl(+)303 1897 y Fn(!)g Fw(q)p
23970 482 1844 52 4 v(q)h(and)g(W)849 1861 y Fk(\000)936 1897
23971 y Fn(!)e Fw(e)1106 1861 y Fk(\000)1171 1897 y Fw(\026)-54
23972 b Fj(\027)1214 1912 y Fl(e)1249 1897 y Fw(,)30 b(in)d(whic)m(h)i(case)g
23973 (\()1930 1830 y Fg(P)2035 1897 y Fj(r)2079 1912 y Fh(i)2107
23974 1897 y Fw(\))2145 1912 y Fl(t)2204 1897 y Fn(\031)f Fw(2)p
23975 Fj(=)p Fw(3)g(and)g(\()2707 1830 y Fg(P)2811 1897 y Fj(r)2855
23976 1912 y Fh(i)2884 1897 y Fw(\))p 2922 1869 32 4 v 23 x
23977 Fl(t)2981 1897 y Fn(\031)g Fw(1)p Fj(=)p Fw(9.)41 b(With)28
23978 b(index)0 2005 y Fn(\006)33 b Fw(denoting)f(resonance/an)m
23979 (tiresonance,)j(eq.)e(\(94\))f(then)h(generalizes)f(to)56
23980 2213 y(\()p Fj(r)138 2228 y Fl(1)199 2213 y Fw(+)22 b
23981 Fj(r)341 2228 y Fl(2)381 2213 y Fw(\))419 2172 y Fl(+)478
23982 2213 y Fw(\()p Fj(r)560 2228 y Fl(1)621 2213 y Fw(+)g
23983 Fj(r)763 2228 y Fl(3)803 2213 y Fw(\))841 2172 y Fk(\000)922
23984 2213 y Fw(+)g(\()p Fj(r)1102 2228 y Fl(1)1163 2213 y
23985 Fw(+)g Fj(r)1305 2228 y Fl(2)1345 2213 y Fw(\))1383 2172
23986 y Fl(+)1442 2213 y Fw(\()p Fj(r)1524 2228 y Fl(4)1585
23987 2213 y Fw(+)g Fj(r)1727 2228 y Fl(5)1767 2213 y Fw(\))1805
23988 2172 y Fk(\000)1886 2213 y Fw(+)g(\()p Fj(r)2066 2228
23989 y Fl(4)2127 2213 y Fw(+)g Fj(r)2269 2228 y Fl(5)2309
23990 2213 y Fw(\))2347 2172 y Fl(+)2406 2213 y Fw(\()p Fj(r)2488
23991 2228 y Fl(1)2549 2213 y Fw(+)g Fj(r)2691 2228 y Fl(3)2730
23992 2213 y Fw(\))2768 2172 y Fk(\000)2850 2213 y Fw(+)g Fj(r)2995
23993 2172 y Fl(+)2992 2238 y(4)3053 2213 y Fj(r)3100 2172
23994 y Fk(\000)3097 2238 y Fl(5)3181 2213 y Fw(+)g Fj(r)3326
23995 2172 y Fl(+)3323 2238 y(5)3385 2213 y Fj(r)3432 2172
23996 y Fk(\000)3429 2238 y Fl(4)3523 2213 y Fj(:)56 b Fw(\(95\))0
23997 2487 y Fp(7.7)135 b(Nonp)t(erturbativ)l(e)46 b(Pro)t(cesses)0
23998 2660 y Fw(A)31 b(few)h(pro)s(cesses)h(are)e(not)f(co)m(v)m(ered)j(b)m
23999 (y)f(the)g(discussion)f(so)g(far.)43 b(These)32 b(are)f(the)h(ones)g
24000 (that)e(dep)s(end)0 2768 y(on)f(the)g(details)e(of)h(hadronic)g(w)m(a)m
24001 (v)m(e)j(functions,)e(and)g(therefore)g(are)g(not)f(strictly)g
24002 (calculable)f(p)s(ertur-)0 2876 y(bativ)m(ely)g(\(although)f(p)s
24003 (erturbation)g(theory)i(ma)m(y)f(often)g(pro)m(vide)h(some)f
24004 (guidance\).)42 b(What)27 b(w)m(e)h(ha)m(v)m(e)0 2985
24005 y(primarily)34 b(in)i(mind)f(is)h(elastic)g(scattering,)i(di\013ractiv)
24006 m(e)e(scattering)h(and)g(lo)m(w-)p Fj(p)3026 3000 y Fk(?)3121
24007 2985 y Fw(`minim)m(um-bias')0 3093 y(ev)m(en)m(ts)i(in)d(hadron{hadron)
24008 h(collisions,)f(but)h(one)g(can)g(also)f(\014nd)h(corresp)s(onding)g
24009 (pro)s(cesses)i(in)d Fj(\015)5 b Fw(p)0 3201 y(and)41
24010 b Fj(\015)5 b(\015)45 b Fw(in)m(teractions.)67 b(The)41
24011 b(description)f(of)g(these)i(pro)s(cesses)g(is)e(rather)h(di\013eren)m
24012 (tly)f(structured)0 3310 y(from)h(that)h(of)g(the)h(other)g(ones,)j(as)
24013 c(is)g(explained)g(b)s(elo)m(w.)73 b(Mo)s(dels)43 b(for)f(`minim)m
24014 (um-bias')c(ev)m(en)m(ts)0 3418 y(are)i(discussed)i(in)d(detail)f(in)h
24015 (section)h(11.2,)h(to)f(whic)m(h)g(w)m(e)h(refer)f(for)g(details)f(on)g
24016 (this)h(part)g(of)f(the)0 3526 y(program.)0 3774 y Fo(7.7.1)112
24017 b(Hadron{hadron)39 b(in)m(teractions)0 3947 y Fw(In)29
24018 b(hadron{hadron)g(in)m(teractions,)g(the)h(total)d(hadronic)i(cross)h
24019 (section)f(for)g Fj(AB)k Fn(!)28 b Fw(an)m(ything,)i
24020 Fj(\033)3639 3911 y Fh(AB)3635 3972 y Fl(tot)3752 3947
24021 y Fw(,)0 4055 y(is)46 b(calculated)f(using)i(the)f(parametrization)e
24022 (of)i(Donnac)m(hie)g(and)h(Landsho\013)g([Don92)o(].)85
24023 b(In)47 b(this)0 4164 y(approac)m(h,)39 b(eac)m(h)g(cross)g(section)e
24024 (app)s(ears)h(as)g(the)g(sum)g(of)f(one)h(p)s(omeron)f(term)g(and)g
24025 (one)h(reggeon)0 4272 y(one)1263 4380 y Fj(\033)1322
24026 4339 y Fh(AB)1318 4405 y Fl(tot)1435 4380 y Fw(\()p Fj(s)p
24027 Fw(\))28 b(=)f Fj(X)1777 4339 y Fh(AB)1907 4380 y Fj(s)1953
24028 4339 y Fh(\017)2008 4380 y Fw(+)22 b Fj(Y)2184 4339 y
24029 Fh(AB)2314 4380 y Fj(s)2360 4339 y Fk(\000)p Fh(\021)2490
24030 4380 y Fj(;)1089 b Fw(\(96\))0 4543 y(where)42 b Fj(s)f
24031 Fw(=)f Fj(E)571 4506 y Fl(2)565 4567 y(cm)660 4543 y
24032 Fw(.)67 b(The)41 b(p)s(o)m(w)m(ers)h Fj(\017)g Fw(=)e(0)p
24033 Fj(:)p Fw(0808)g(and)g Fj(\021)45 b Fw(=)c(0)p Fj(:)p
24034 Fw(4525)e(are)i(exp)s(ected)h(to)e(b)s(e)h(univ)m(ersal,)0
24035 4651 y(whereas)30 b(the)e(co)s(e\016cien)m(ts)h Fj(X)1106
24036 4615 y Fh(AB)1248 4651 y Fw(and)f Fj(Y)1511 4615 y Fh(AB)1653
24037 4651 y Fw(are)g(sp)s(eci\014c)h(to)e(eac)m(h)i(initial)c(state.)42
24038 b(\(In)28 b(fact,)h(the)g(high-)0 4759 y(energy)k(b)s(eha)m(viour)f
24039 (giv)m(en)g(b)m(y)h(the)g(p)s(omeron)e(term)h(is)f(exp)s(ected)j(to)e
24040 (b)s(e)h(the)f(same)g(for)g(particle)e(and)0 4885 y(an)m(tiparticle)38
24041 b(in)m(teractions,)k(i.e.)65 b Fj(X)p 1370 4794 53 4
24042 v 1370 4849 a Fh(AB)1524 4885 y Fw(=)41 b Fj(X)1730 4849
24043 y Fh(AB)1843 4885 y Fw(.\))66 b(P)m(arametrizations)38
24044 b(not)i(pro)m(vided)h(in)e([Don92)o(])0 4993 y(ha)m(v)m(e)34
24045 b(b)s(een)f(calculated)f(in)g(the)h(same)f(spirit,)f(making)h(use)h(of)
24046 f(quark)i(coun)m(ting)e(rules)h([Sc)m(h93a].)146 5102
24047 y(The)h(total)d(cross)i(section)g(is)f(sub)s(divided)h(according)f(to)
24048 544 5310 y Fj(\033)603 5269 y Fh(AB)599 5334 y Fl(tot)717
24049 5310 y Fw(\()p Fj(s)p Fw(\))27 b(=)h Fj(\033)1029 5269
24050 y Fh(AB)1025 5334 y Fl(el)1142 5310 y Fw(\()p Fj(s)p
24051 Fw(\))22 b(+)g Fj(\033)1443 5269 y Fh(AB)1439 5334 y
24052 Fl(sd)q(\()p Fh(X)5 b(B)s Fl(\))1685 5310 y Fw(\()p Fj(s)p
24053 Fw(\))22 b(+)g Fj(\033)1986 5269 y Fh(AB)1982 5334 y
24054 Fl(sd)q(\()p Fh(AX)5 b Fl(\))2225 5310 y Fw(\()p Fj(s)p
24055 Fw(\))22 b(+)g Fj(\033)2526 5269 y Fh(AB)2522 5334 y
24056 Fl(dd)2639 5310 y Fw(\()p Fj(s)p Fw(\))g(+)g Fj(\033)2940
24057 5269 y Fh(AB)2936 5334 y Fl(nd)3054 5310 y Fw(\()p Fj(s)p
24058 Fw(\))32 b Fj(:)371 b Fw(\(97\))0 5534 y(Here)41 b(`el')g(is)f(the)h
24059 (elastic)e(pro)s(cess)j Fj(AB)47 b Fn(!)41 b Fj(AB)5
24060 b Fw(,)43 b(`sd\()p Fj(X)8 b(B)d Fw(\)')41 b(the)g(single)f
24061 (di\013ractiv)m(e)g Fj(AB)46 b Fn(!)c Fj(X)8 b(B)d Fw(,)0
24062 5642 y(`sd\()p Fj(AX)j Fw(\)')35 b(the)g(single)f(di\013ractiv)m(e)g
24063 Fj(AB)i Fn(!)31 b Fj(AX)8 b Fw(,)35 b(`dd')h(the)f(double)f
24064 (di\013ractiv)m(e)g Fj(AB)j Fn(!)30 b Fj(X)3400 5657
24065 y Fl(1)3440 5642 y Fj(X)3521 5657 y Fl(2)3560 5642 y
24066 Fw(,)35 b(and)1817 5953 y(106)p eop
24067 %%Page: 107 113
24068 107 112 bop 0 -18 a Fw(`nd')30 b(the)f(non-di\013ractiv)m(e)f(ones.)43
24069 b(Higher)29 b(di\013ractiv)m(e)f(top)s(ologies,)g(suc)m(h)i(as)g(cen)m
24070 (tral)e(di\013raction,)g(are)0 90 y(curren)m(tly)36 b(neglected.)51
24071 b(In)35 b(the)h(follo)m(wing,)d(the)i(elastic)f(and)i(di\013ractiv)m(e)
24072 e(cross)i(sections)g(and)f(ev)m(en)m(t)0 198 y(c)m(haracteristics)47
24073 b(are)f(describ)s(ed,)51 b(as)c(giv)m(en)f(in)g(the)h(mo)s(del)e(b)m(y)
24074 i(Sc)m(h)m(uler)g(and)g(Sj\177)-49 b(ostrand)47 b([Sc)m(h94,)0
24075 307 y(Sc)m(h93a].)76 b(The)45 b(non-di\013ractiv)m(e)d(comp)s(onen)m(t)
24076 i(is)f(iden)m(ti\014ed)g(with)g(the)h(`minim)m(um)c(bias')j(ph)m(ysics)
24077 0 415 y(already)33 b(men)m(tioned,)g(a)g(practical)f(but)i(not)f(unam)m
24078 (biguous)g(c)m(hoice.)46 b(Its)34 b(cross)h(section)e(is)g(giv)m(en)h
24079 (b)m(y)0 523 y(`whatev)m(er)g(is)e(left')g(according)g(to)g(eq.)i
24080 (\(97\),)e(and)h(its)f(prop)s(erties)g(are)h(discussed)h(in)e(section)h
24081 (11.2.)146 632 y(A)m(t)38 b(not)f(to)s(o)f(large)g(squared)i(momen)m
24082 (tum)e(transfers)h Fj(t)p Fw(,)i(the)e(elastic)f(cross)i(section)g(can)
24083 f(b)s(e)g(ap-)0 740 y(pro)m(ximated)27 b(b)m(y)h(a)f(simple)e(exp)s
24084 (onen)m(tial)i(fall-o\013.)39 b(If)27 b(one)g(neglects)h(the)g(small)d
24085 (real)h(part)h(of)g(the)h(cross)0 848 y(section,)33 b(the)g(optical)e
24086 (theorem)h(then)h(giv)m(es)1412 1046 y(d)p Fj(\033)1521
24087 1061 y Fl(el)p 1412 1090 165 4 v 1450 1181 a Fw(d)p Fj(t)1615
24088 1113 y Fw(=)1732 1046 y Fj(\033)1791 1009 y Fl(2)1787
24089 1070 y(tot)p 1728 1090 157 4 v 1728 1181 a Fw(16)p Fj(\031)1928
24090 1113 y Fw(exp)q(\()p Fj(B)2189 1128 y Fl(el)2244 1113
24091 y Fj(t)p Fw(\))g Fj(;)1229 b Fw(\(98\))0 1359 y(and)33
24092 b Fj(\033)245 1374 y Fl(el)328 1359 y Fw(=)27 b Fj(\033)490
24093 1323 y Fl(2)486 1384 y(tot)581 1359 y Fj(=)p Fw(16)p
24094 Fj(\031)t(B)861 1374 y Fl(el)916 1359 y Fw(.)43 b(The)34
24095 b(elastic)d(slop)s(e)h(parameter)g(is)h(parametrized)e(b)m(y)1051
24096 1569 y Fj(B)1125 1584 y Fl(el)1208 1569 y Fw(=)c Fj(B)1390
24097 1528 y Fh(AB)1385 1594 y Fl(el)1504 1569 y Fw(\()p Fj(s)p
24098 Fw(\))g(=)h(2)p Fj(b)1847 1584 y Fh(A)1926 1569 y Fw(+)22
24099 b(2)p Fj(b)2114 1584 y Fh(B)2197 1569 y Fw(+)g(4)p Fj(s)2390
24100 1528 y Fh(\017)2445 1569 y Fn(\000)h Fw(4)p Fj(:)p Fw(2)32
24101 b Fj(;)877 b Fw(\(99\))0 1768 y(with)27 b Fj(s)h Fw(giv)m(en)g(in)f
24102 (units)h(of)f(GeV)h(and)g Fj(B)1476 1783 y Fl(el)1559
24103 1768 y Fw(in)f(GeV)1861 1732 y Fk(\000)p Fl(2)1956 1768
24104 y Fw(.)41 b(The)29 b(constan)m(ts)h Fj(b)2689 1783 y
24105 Fh(A;B)2850 1768 y Fw(are)e Fj(b)3049 1783 y Fl(p)3120
24106 1768 y Fw(=)g(2)p Fj(:)p Fw(3,)g Fj(b)3445 1783 y Fh(\031)r(;\032;!)r
24107 (;\036)3704 1768 y Fw(=)0 1877 y(1)p Fj(:)p Fw(4,)43
24108 b Fj(b)236 1892 y Fl(J)p Fh(= )403 1877 y Fw(=)e(0)p
24109 Fj(:)p Fw(23.)69 b(The)42 b(increase)f(of)g(the)g(slop)s(e)g(parameter)
24110 f(with)h(c.m.)69 b(energy)42 b(is)e(faster)h(than)0 1985
24111 y(the)32 b(logarithmically)26 b(one)32 b(con)m(v)m(en)m(tionally)f
24112 (assumed;)i(that)f(w)m(a)m(y)g(the)g(ratio)e Fj(\033)2933
24113 2000 y Fl(el)2989 1985 y Fj(=\033)3093 2000 y Fl(tot)3219
24114 1985 y Fw(remains)h(w)m(ell-)0 2093 y(b)s(eha)m(v)m(ed)j(at)f(large)e
24115 (energies.)146 2202 y(The)j(di\013ractiv)m(e)e(cross)h(sections)h(are)e
24116 (giv)m(en)h(b)m(y)754 2395 y(d)p Fj(\033)863 2410 y Fl(sd)q(\()p
24117 Fh(X)5 b(B)s Fl(\))1110 2395 y Fw(\()p Fj(s)p Fw(\))p
24118 754 2440 478 4 v 841 2532 a(d)p Fj(t)17 b Fw(d)p Fj(M)1105
24119 2503 y Fl(2)1324 2463 y Fw(=)1498 2396 y Fj(g)1545 2411
24120 y Fl(3I)-12 b(P)p 1493 2440 157 4 v 1493 2532 a Fw(16)p
24121 Fj(\031)1676 2463 y(\014)1731 2478 y Fh(A)p Fl(I)g(P)1867
24122 2463 y Fj(\014)1928 2422 y Fl(2)1922 2488 y Fh(B)s Fl(I)g(P)2118
24123 2396 y Fw(1)p 2071 2440 145 4 v 2071 2532 a Fj(M)2175
24124 2503 y Fl(2)2258 2463 y Fw(exp)q(\()p Fj(B)2519 2479
24125 y Fl(sd\()p Fh(X)5 b(B)s Fl(\))2765 2463 y Fj(t)p Fw(\))17
24126 b Fj(F)2918 2478 y Fl(sd)3021 2463 y Fj(;)758 2640 y
24127 Fw(d)p Fj(\033)867 2655 y Fl(sd)q(\()p Fh(AX)5 b Fl(\))1110
24128 2640 y Fw(\()p Fj(s)p Fw(\))p 758 2685 474 4 v 842 2777
24129 a(d)p Fj(t)17 b Fw(d)p Fj(M)1106 2748 y Fl(2)1324 2708
24130 y Fw(=)1498 2641 y Fj(g)1545 2656 y Fl(3I)-12 b(P)p 1493
24131 2685 157 4 v 1493 2777 a Fw(16)p Fj(\031)1676 2708 y(\014)1737
24132 2667 y Fl(2)1731 2733 y Fh(A)p Fl(I)g(P)1867 2708 y Fj(\014)1922
24133 2723 y Fh(B)s Fl(I)g(P)2118 2641 y Fw(1)p 2071 2685 145
24134 4 v 2071 2777 a Fj(M)2175 2748 y Fl(2)2258 2708 y Fw(exp)q(\()p
24135 Fj(B)2519 2724 y Fl(sd\()p Fh(AX)5 b Fl(\))2761 2708
24136 y Fj(t)p Fw(\))17 b Fj(F)2914 2723 y Fl(sd)3018 2708
24137 y Fj(;)815 2889 y Fw(d)p Fj(\033)924 2904 y Fl(dd)1007
24138 2889 y Fw(\()p Fj(s)p Fw(\))p 712 2933 520 4 v 712 3025
24139 a(d)p Fj(t)g Fw(d)p Fj(M)976 2990 y Fl(2)966 3046 y(1)1033
24140 3025 y Fw(d)p Fj(M)1191 2990 y Fl(2)1181 3046 y(2)1324
24141 2956 y Fw(=)1498 2889 y Fj(g)1549 2853 y Fl(2)1545 2913
24142 y(3I)-12 b(P)p 1493 2933 157 4 v 1493 3025 a Fw(16)p
24143 Fj(\031)1676 2956 y(\014)1731 2971 y Fh(A)p Fl(I)g(P)1867
24144 2956 y Fj(\014)1922 2971 y Fh(B)s Fl(I)g(P)2118 2889
24145 y Fw(1)p 2071 2933 145 4 v 2071 3025 a Fj(M)2175 2990
24146 y Fl(2)2165 3046 y(1)2299 2889 y Fw(1)p 2251 2933 V 2251
24147 3025 a Fj(M)2355 2990 y Fl(2)2345 3046 y(2)2439 2956
24148 y Fw(exp)q(\()p Fj(B)2700 2971 y Fl(dd)2782 2956 y Fj(t)p
24149 Fw(\))17 b Fj(F)2935 2971 y Fl(dd)3050 2956 y Fj(:)480
24150 b Fw(\(100\))146 3227 y(The)36 b(couplings)d Fj(\014)834
24151 3242 y Fh(A)p Fl(I)-12 b(P)988 3227 y Fw(are)34 b(related)g(to)h(the)g
24152 (p)s(omeron)e(term)h Fj(X)2500 3191 y Fh(AB)2614 3227
24153 y Fj(s)2660 3191 y Fh(\017)2727 3227 y Fw(of)g(the)h(total)e(cross)i
24154 (section)0 3335 y(parametrization,)j(eq.)j(\(96\).)63
24155 b(Pic)m(king)39 b(a)g(reference)i(scale)2270 3271 y Fn(p)p
24156 2353 3271 136 4 v 64 x Fj(s)2399 3350 y Fl(ref)2528 3335
24157 y Fw(=)e(20)g(GeV,)g(the)h(couplings)e(are)0 3457 y(giv)m(en)j(b)m(y)h
24158 Fj(\014)462 3472 y Fh(A)p Fl(I)-12 b(P)580 3457 y Fj(\014)635
24159 3472 y Fh(B)s Fl(I)g(P)799 3457 y Fw(=)42 b Fj(X)1006
24160 3421 y Fh(AB)1136 3457 y Fj(s)1182 3421 y Fh(\017)1182
24161 3481 y Fl(ref)1271 3457 y Fw(.)68 b(The)42 b(triple-p)s(omeron)c
24162 (coupling)i(is)g(determined)h(from)e(single-)0 3576 y(di\013ractiv)m(e)
24163 46 b(data)g(to)h(b)s(e)g Fj(g)1036 3591 y Fl(3I)-12 b(P)1188
24164 3576 y Fn(\031)53 b Fw(0)p Fj(:)p Fw(318)46 b(m)m(b)1720
24165 3540 y Fl(1)p Fh(=)p Fl(2)1829 3576 y Fw(;)54 b(within)46
24166 b(the)h(con)m(text)h(of)e(the)i(form)m(ulae)d(in)h(this)0
24167 3684 y(section.)146 3792 y(The)38 b(sp)s(ectrum)g(of)e(di\013ractiv)m
24168 (e)h(masses)h Fj(M)48 b Fw(is)36 b(tak)m(en)i(to)f(b)s(egin)g(0.28)f
24169 (GeV)h Fn(\031)f Fw(2)p Fj(m)3279 3807 y Fh(\031)3363
24170 3792 y Fw(ab)s(o)m(v)m(e)i(the)0 3901 y(mass)31 b(of)f(the)h(resp)s
24171 (ectiv)m(e)i(incoming)28 b(particle)i(and)h(extend)h(to)e(the)i
24172 (kinematical)c(limit.)39 b(The)32 b(simple)0 4009 y(d)p
24173 Fj(M)158 3973 y Fl(2)198 4009 y Fj(=)-5 b(M)346 3973
24174 y Fl(2)414 4009 y Fw(form)27 b(is)g(mo)s(di\014ed)g(b)m(y)i(the)g
24175 (mass-dep)s(endence)h(in)d(the)i(di\013ractiv)m(e)e(slop)s(es)h(and)g
24176 (in)g(the)g Fj(F)3708 4024 y Fl(sd)0 4117 y Fw(and)33
24177 b Fj(F)253 4132 y Fl(dd)368 4117 y Fw(factors.)146 4226
24178 y(The)h(slop)s(e)e(parameters)h(are)f(assumed)h(to)g(b)s(e)1063
24179 4469 y Fj(B)1137 4484 y Fl(sd\()p Fh(X)5 b(B)s Fl(\))1383
24180 4469 y Fw(\()p Fj(s)p Fw(\))83 b(=)g(2)p Fj(b)1837 4484
24181 y Fh(B)1920 4469 y Fw(+)22 b(2)p Fj(\013)2130 4427 y
24182 Fk(0)2169 4469 y Fw(ln)2267 4347 y Fg(\022)2387 4401
24183 y Fj(s)p 2338 4445 145 4 v 2338 4537 a(M)2442 4508 y
24184 Fl(2)2492 4347 y Fg(\023)2602 4469 y Fj(;)1067 4701 y(B)1141
24185 4717 y Fl(sd\()p Fh(AX)5 b Fl(\))1383 4701 y Fw(\()p
24186 Fj(s)p Fw(\))83 b(=)g(2)p Fj(b)1837 4716 y Fh(A)1916
24187 4701 y Fw(+)22 b(2)p Fj(\013)2126 4660 y Fk(0)2165 4701
24188 y Fw(ln)2263 4580 y Fg(\022)2383 4634 y Fj(s)p 2334 4678
24189 V 2334 4769 a(M)2438 4741 y Fl(2)2488 4580 y Fg(\023)2599
24190 4701 y Fj(;)1226 4958 y(B)1300 4973 y Fl(dd)1383 4958
24191 y Fw(\()p Fj(s)p Fw(\))83 b(=)g(2)p Fj(\013)1859 4917
24192 y Fk(0)1898 4958 y Fw(ln)1996 4812 y Fg( )2062 4958 y
24193 Fj(e)2107 4917 y Fl(4)2168 4958 y Fw(+)2355 4891 y Fj(ss)2447
24194 4906 y Fl(0)p 2276 4935 289 4 v 2276 5027 a Fj(M)2380
24195 4992 y Fl(2)2370 5049 y(1)2421 5027 y Fj(M)2525 4992
24196 y Fl(2)2515 5049 y(2)2575 4812 y Fg(!)2690 4958 y Fj(:)840
24197 b Fw(\(101\))0 5236 y(Here)35 b Fj(\013)295 5200 y Fk(0)349
24198 5236 y Fw(=)c(0)p Fj(:)p Fw(25)j(GeV)857 5200 y Fk(\000)p
24199 Fl(2)986 5236 y Fw(and)h(con)m(v)m(en)m(tionally)f Fj(s)1868
24200 5251 y Fl(0)1942 5236 y Fw(is)g(pic)m(k)m(ed)i(as)f Fj(s)2513
24201 5251 y Fl(0)2583 5236 y Fw(=)c(1)p Fj(=\013)2851 5200
24202 y Fk(0)2874 5236 y Fw(.)49 b(The)36 b(term)e Fj(e)3433
24203 5200 y Fl(4)3507 5236 y Fw(in)g Fj(B)3697 5251 y Fl(dd)0
24204 5344 y Fw(is)42 b(added)h(b)m(y)h(hand)f(to)f(a)m(v)m(oid)h(a)f
24205 (breakdo)m(wn)i(of)f(the)g(standard)g(expression)h(for)e(large)f(v)-5
24206 b(alues)43 b(of)0 5453 y Fj(M)104 5416 y Fl(2)94 5477
24207 y(1)144 5453 y Fj(M)248 5416 y Fl(2)238 5477 y(2)288
24208 5453 y Fw(.)j(The)34 b Fj(b)603 5468 y Fh(A;B)770 5453
24209 y Fw(terms)f(protect)h Fj(B)1453 5468 y Fl(sd)1557 5453
24210 y Fw(from)e(breaking)h(do)m(wn;)i(ho)m(w)m(ev)m(er)g(a)e(minim)m(um)d
24211 (v)-5 b(alue)33 b(of)g(2)0 5561 y(is)d(still)f(explicitly)g(required)i
24212 (for)f Fj(B)1307 5576 y Fl(sd)1379 5561 y Fw(,)h(whic)m(h)g(comes)g(in)
24213 m(to)f(pla)m(y)h(e.g.)43 b(for)30 b(a)h(J)p Fj(= )k Fw(state)c(\(as)g
24214 (part)f(of)h(a)0 5669 y(VMD)i(photon)f(b)s(eam\).)1817
24215 5953 y(107)p eop
24216 %%Page: 108 114
24217 108 113 bop 146 -18 a Fw(The)43 b(kinematical)c(range)j(in)f
24218 Fj(t)h Fw(dep)s(ends)h(on)f(all)e(the)i(masses)h(of)e(the)h(problem.)70
24219 b(In)42 b(terms)g(of)0 90 y(the)h(scaled)g(v)-5 b(ariables)42
24220 b Fj(\026)950 105 y Fl(1)1034 90 y Fw(=)j Fj(m)1240 54
24221 y Fl(2)1240 114 y Fh(A)1298 90 y Fj(=s)p Fw(,)g Fj(\026)1524
24222 105 y Fl(2)1608 90 y Fw(=)g Fj(m)1814 54 y Fl(2)1814
24223 114 y Fh(B)1875 90 y Fj(=s)p Fw(,)h Fj(\026)2102 105
24224 y Fl(3)2186 90 y Fw(=)f Fj(M)2411 54 y Fl(2)2401 117
24225 y(\(1\))2496 90 y Fj(=s)d Fw(\(=)j Fj(m)2877 54 y Fl(2)2877
24226 114 y Fh(A)2935 90 y Fj(=s)d Fw(when)i Fj(A)f Fw(scatters)0
24227 221 y(elastically\),)30 b Fj(\026)577 236 y Fl(4)644
24228 221 y Fw(=)d Fj(M)851 185 y Fl(2)841 248 y(\(2\))936
24229 221 y Fj(=s)32 b Fw(\(=)c Fj(m)1290 185 y Fl(2)1290 245
24230 y Fh(B)1351 221 y Fj(=s)k Fw(when)i Fj(B)j Fw(scatters)d
24231 (elastically\),)c(and)j(the)g(com)m(binations)519 447
24232 y Fj(C)589 462 y Fl(1)712 447 y Fw(=)82 b(1)22 b Fn(\000)h
24233 Fw(\()p Fj(\026)1138 462 y Fl(1)1199 447 y Fw(+)f Fj(\026)1356
24234 462 y Fl(2)1417 447 y Fw(+)g Fj(\026)1574 462 y Fl(3)1636
24235 447 y Fw(+)g Fj(\026)1793 462 y Fl(4)1832 447 y Fw(\))g(+)g(\()p
24236 Fj(\026)2087 462 y Fl(1)2148 447 y Fn(\000)h Fj(\026)2307
24237 462 y Fl(2)2346 447 y Fw(\)\()p Fj(\026)2481 462 y Fl(3)2542
24238 447 y Fn(\000)g Fj(\026)2701 462 y Fl(4)2740 447 y Fw(\))32
24239 b Fj(;)519 617 y(C)589 632 y Fl(2)712 617 y Fw(=)870
24240 512 y Fg(q)p 953 512 971 4 v 105 x Fw(\(1)22 b Fn(\000)h
24241 Fj(\026)1221 632 y Fl(1)1282 617 y Fn(\000)g Fj(\026)1441
24242 632 y Fl(2)1480 617 y Fw(\))1518 588 y Fl(2)1579 617
24243 y Fn(\000)g Fw(4)p Fj(\026)1787 632 y Fl(1)1826 617 y
24244 Fj(\026)1885 632 y Fl(2)1941 512 y Fg(q)p 2024 512 V
24245 105 x Fw(\(1)f Fn(\000)g Fj(\026)2291 632 y Fl(3)2353
24246 617 y Fn(\000)g Fj(\026)2511 632 y Fl(4)2550 617 y Fw(\))2588
24247 588 y Fl(2)2650 617 y Fn(\000)g Fw(4)p Fj(\026)2857 632
24248 y Fl(3)2896 617 y Fj(\026)2955 632 y Fl(4)3027 617 y
24249 Fj(;)519 766 y(C)589 781 y Fl(3)712 766 y Fw(=)82 b(\()p
24250 Fj(\026)967 781 y Fl(3)1029 766 y Fn(\000)22 b Fj(\026)1187
24251 781 y Fl(1)1226 766 y Fw(\)\()p Fj(\026)1361 781 y Fl(4)1423
24252 766 y Fn(\000)g Fj(\026)1581 781 y Fl(2)1620 766 y Fw(\))g(+)g(\()p
24253 Fj(\026)1875 781 y Fl(1)1937 766 y Fw(+)g Fj(\026)2094
24254 781 y Fl(4)2155 766 y Fn(\000)g Fj(\026)2313 781 y Fl(2)2375
24255 766 y Fn(\000)g Fj(\026)2533 781 y Fl(3)2573 766 y Fw(\)\()p
24256 Fj(\026)2708 781 y Fl(1)2747 766 y Fj(\026)2806 781 y
24257 Fl(4)2867 766 y Fn(\000)g Fj(\026)3025 781 y Fl(2)3065
24258 766 y Fj(\026)3124 781 y Fl(3)3163 766 y Fw(\))32 b Fj(;)297
24259 b Fw(\(102\))0 974 y(one)33 b(has)g Fj(t)388 989 y Fl(min)537
24260 974 y Fj(<)28 b(t)g(<)f(t)842 989 y Fl(max)1011 974 y
24261 Fw(with)887 1207 y Fj(t)922 1222 y Fl(min)1127 1207 y
24262 Fw(=)83 b Fn(\000)1374 1139 y Fj(s)p 1373 1184 49 4 v
24263 1373 1275 a Fw(2)1432 1207 y(\()p Fj(C)1540 1222 y Fl(1)1601
24264 1207 y Fw(+)22 b Fj(C)1769 1222 y Fl(2)1809 1207 y Fw(\))32
24265 b Fj(;)873 1455 y(t)908 1470 y Fl(max)1127 1455 y Fw(=)83
24266 b Fn(\000)1374 1387 y Fj(s)p 1373 1431 V 1373 1523 a
24267 Fw(2)1432 1455 y(\()p Fj(C)1540 1470 y Fl(1)1601 1455
24268 y Fn(\000)23 b Fj(C)1771 1470 y Fl(2)1810 1455 y Fw(\))28
24269 b(=)f Fn(\000)2067 1387 y Fj(s)p 2066 1431 V 2066 1523
24270 a Fw(2)2243 1387 y(4)p Fj(C)2362 1402 y Fl(3)p 2152 1431
24271 339 4 v 2152 1523 a Fj(C)2222 1538 y Fl(1)2284 1523 y
24272 Fw(+)22 b Fj(C)2452 1538 y Fl(2)2528 1455 y Fw(=)2642
24273 1387 y Fj(s)2688 1351 y Fl(2)2727 1387 y Fj(C)2797 1402
24274 y Fl(3)p 2642 1431 195 4 v 2661 1523 a Fj(t)2696 1538
24275 y Fl(min)2879 1455 y Fj(:)651 b Fw(\(103\))146 1715 y(The)42
24276 b(Regge)e(form)m(ulae)f(ab)s(o)m(v)m(e)i(for)f(single-)e(and)j
24277 (double-di\013ractiv)m(e)e(ev)m(en)m(ts)k(are)d(supp)s(osed)i(to)0
24278 1823 y(hold)j(in)g(certain)g(asymptotic)f(regions)i(of)f(the)h(total)e
24279 (phase)i(space.)84 b(Of)45 b(course,)50 b(there)c(will)d(b)s(e)0
24280 1932 y(di\013raction)26 b(also)i(outside)g(these)h(restrictiv)m(e)f
24281 (regions.)42 b(Lac)m(king)28 b(a)g(theory)h(whic)m(h)f(predicts)h
24282 (di\013eren-)0 2040 y(tial)f(cross)k(sections)f(at)f(arbitrary)g
24283 Fj(t)h Fw(and)f Fj(M)1658 2004 y Fl(2)1729 2040 y Fw(v)-5
24284 b(alues,)31 b(the)g(Regge)g(form)m(ulae)e(are)h(used)i(ev)m(erywhere,)0
24285 2148 y(but)i(fudge)h(factors)f(are)g(in)m(tro)s(duced)g(in)g(order)g
24286 (to)g(obtain)f(`sensible')h(b)s(eha)m(viour)g(in)g(the)g(full)f(phase)0
24287 2257 y(space.)45 b(These)34 b(factors)f(are:)890 2534
24288 y Fj(F)953 2549 y Fl(sd)1108 2534 y Fw(=)1268 2387 y
24289 Fg( )1334 2534 y Fw(1)22 b Fn(\000)1514 2466 y Fj(M)1618
24290 2430 y Fl(2)p 1514 2510 145 4 v 1563 2602 a Fj(s)1668
24291 2387 y Fg(!)17 b( )1817 2534 y Fw(1)k(+)2053 2466 y Fj(c)2095
24292 2481 y Fl(res)2202 2466 y Fj(M)2306 2430 y Fl(2)2296
24293 2491 y(res)p 1995 2510 450 4 v 1995 2602 a Fj(M)2099
24294 2573 y Fl(2)2089 2627 y(res)2203 2602 y Fw(+)h Fj(M)2405
24295 2573 y Fl(2)2455 2387 y Fg(!)2570 2534 y Fj(;)879 2825
24296 y(F)942 2840 y Fl(dd)1108 2825 y Fw(=)1268 2679 y Fg( )1334
24297 2825 y Fw(1)g Fn(\000)1514 2758 y Fw(\()p Fj(M)1646 2773
24298 y Fl(1)1708 2758 y Fw(+)g Fj(M)1900 2773 y Fl(2)1940
24299 2758 y Fw(\))1978 2709 y Fl(2)p 1514 2802 504 4 v 1743
24300 2893 a Fj(s)2027 2679 y Fg(!)17 b( )2398 2751 y Fj(s)g(m)2546
24301 2715 y Fl(2)2546 2776 y(p)p 2185 2802 617 4 v 2185 2893
24302 a Fj(s)g(m)2333 2865 y Fl(2)2333 2918 y(p)2399 2893 y
24303 Fw(+)22 b Fj(M)2601 2859 y Fl(2)2591 2915 y(1)2658 2893
24304 y Fj(M)2762 2859 y Fl(2)2752 2915 y(2)2812 2679 y Fg(!)1108
24305 3114 y Fn(\002)1268 2967 y Fg( )1334 3114 y Fw(1)g(+)1570
24306 3046 y Fj(c)1612 3061 y Fl(res)1720 3046 y Fj(M)1824
24307 3010 y Fl(2)1814 3071 y(res)p 1513 3090 450 4 v 1513
24308 3182 a Fj(M)1617 3153 y Fl(2)1607 3207 y(res)1720 3182
24309 y Fw(+)g Fj(M)1922 3148 y Fl(2)1912 3204 y(1)1972 2967
24310 y Fg(!)17 b( )2120 3114 y Fw(1)22 b(+)2357 3046 y Fj(c)2399
24311 3061 y Fl(res)2506 3046 y Fj(M)2610 3010 y Fl(2)2600
24312 3071 y(res)p 2299 3090 V 2299 3182 a Fj(M)2403 3153 y
24313 Fl(2)2393 3207 y(res)2507 3182 y Fw(+)g Fj(M)2709 3148
24314 y Fl(2)2699 3204 y(2)2759 2967 y Fg(!)2874 3114 y Fj(:)656
24315 b Fw(\(104\))0 3390 y(The)33 b(\014rst)g(factor)f(in)g(either)g
24316 (expression)i(suppresses)h(pro)s(duction)d(close)g(to)g(the)h
24317 (kinematical)d(limit.)0 3499 y(The)49 b(second)h(factor)e(in)g
24318 Fj(F)1035 3514 y Fh(dd)1160 3499 y Fw(suppresses)k(con\014gurations)c
24319 (where)h(the)g(t)m(w)m(o)g(di\013ractiv)m(e)f(systems)0
24320 3607 y(o)m(v)m(erlap)34 b(in)f(rapidit)m(y)g(space.)48
24321 b(The)35 b(\014nal)e(factors)h(giv)m(e)g(an)f(enhancemen)m(t)j(of)d
24322 (the)h(lo)m(w-mass)f(region,)0 3715 y(where)38 b(a)f(resonance)h
24323 (structure)g(is)f(observ)m(ed)i(in)d(the)h(data.)56 b(Clearly)36
24324 b(a)h(more)f(detailed)g(mo)s(delling)0 3824 y(w)m(ould)47
24325 b(ha)m(v)m(e)h(to)e(b)s(e)h(based)h(on)e(a)h(set)g(of)g(exclusiv)m(e)g
24326 (states)h(rather)f(than)g(on)f(this)h(smeared-out)0 3932
24327 y(a)m(v)m(eraging)34 b(pro)s(cedure.)49 b(A)35 b(reasonable)f(\014t)g
24328 (to)g(pp)p Fj(=)p 1924 3879 55 4 v Fw(pp)h(data)f(is)f(obtained)h(for)g
24329 Fj(c)2986 3947 y Fl(res)3107 3932 y Fw(=)d(2)j(and)g
24330 Fj(M)3582 3947 y Fl(res)3704 3932 y Fw(=)0 4040 y(2)c(GeV,)h(for)f(an)g
24331 (arbitary)g(particle)f Fj(A)h Fw(whic)m(h)h(is)f(di\013ractiv)m(ely)g
24332 (excited)h(w)m(e)h(use)f Fj(M)3089 4004 y Fh(A)3079 4065
24333 y Fl(res)3198 4040 y Fw(=)d Fj(m)3387 4055 y Fh(A)3462
24334 4040 y Fn(\000)18 b Fj(m)3642 4055 y Fl(p)3704 4040 y
24335 Fw(+)0 4149 y(2)32 b(GeV.)146 4257 y(The)46 b(di\013ractiv)m(e)d
24336 (cross-section)i(form)m(ulae)e(ab)s(o)m(v)m(e)i(ha)m(v)m(e)h(b)s(een)f
24337 (in)m(tegrated)f(for)g(a)g(set)h(of)f(c.m.)0 4365 y(energies,)54
24338 b(starting)49 b(at)g(10)g(GeV,)g(and)h(the)g(results)f(ha)m(v)m(e)i(b)s
24339 (een)f(parametrized.)93 b(The)51 b(form)d(of)0 4474 y(these)34
24340 b(parametrizations)c(is)i(giv)m(en)g(in)g(ref.)43 b([Sc)m(h94)q(],)32
24341 b(with)g(explicit)f(n)m(um)m(b)s(ers)i(for)f(the)h(pp)p
24342 Fj(=)p 3438 4421 V Fw(pp)f(case.)0 4582 y Fm(Pythia)42
24343 b Fw(also)f(con)m(tains)h(similar)c(parametrizations)i(for)h
24344 Fj(\031)t Fw(p)h(\(assumed)g(to)g(b)s(e)g(same)f(as)h
24345 Fj(\032)p Fw(p)g(and)0 4690 y Fj(!)t Fw(p\),)32 b Fj(\036)p
24346 Fw(p,)h(J)p Fj(= )t Fw(p,)f Fj(\032\032)h Fw(\()p Fj(\031)t(\031)k
24347 Fw(etc.\),)c Fj(\032\036)p Fw(,)g Fj(\032)p Fw(J)p Fj(= )t
24348 Fw(,)f Fj(\036\036)p Fw(,)h Fj(\036)p Fw(J)p Fj(= )j
24349 Fw(and)c(J)p Fj(= )t Fw(J)p Fj(= )t Fw(.)146 4799 y(The)c(pro)s(cesses)
24350 h(ab)s(o)m(v)m(e)f(do)f(not)g(ob)s(ey)h(the)f(ordinary)f(ev)m(en)m(t)j
24351 (mixing)c(strategy)-8 b(.)42 b(First)26 b(of)h(all,)f(since)0
24352 4907 y(their)h(total)f(cross)i(sections)g(are)g(kno)m(wn,)i(it)c(is)h
24353 (p)s(ossible)g(to)g(pic)m(k)h(the)g(appropriate)e(pro)s(cess)j(from)d
24354 (the)0 5015 y(start,)39 b(and)f(then)g(remain)e(with)h(that)g(c)m
24355 (hoice.)59 b(In)38 b(other)g(w)m(ords,)i(if)c(the)i(selection)f(of)g
24356 (kinematical)0 5124 y(v)-5 b(ariables)39 b(fails,)i(one)g(w)m(ould)g
24357 (not)f(go)g(bac)m(k)i(and)e(pic)m(k)h(a)g(new)g(pro)s(cess,)j(the)d(w)m
24358 (a)m(y)h(it)e(w)m(as)h(done)g(in)0 5232 y(section)35
24359 b(7.4.4.)51 b(Second,)37 b(it)d(is)h(not)g(p)s(ossible)f(to)h(imp)s
24360 (ose)f(an)m(y)i(cuts)g(or)f(restrain)f(allo)m(w)m(ed)h(incoming)0
24361 5340 y(or)k(outgoing)f(\015a)m(v)m(ours:)59 b(if)38 b(not)i(additional)
24362 c(information)h(w)m(ere)k(to)e(b)s(e)h(pro)m(vided,)h(it)e(w)m(ould)g
24363 (mak)m(e)0 5449 y(the)e(whole)g(scenario)g(ill-de\014ned.)54
24364 b(Third,)38 b(it)e(is)h(not)f(recommended)h(to)g(mix)f(generation)g(of)
24365 g(these)0 5557 y(pro)s(cesses)g(with)d(that)h(of)f(an)m(y)h(of)g(the)g
24366 (other)g(ones:)46 b(normally)32 b(the)i(other)g(pro)s(cesses)i(ha)m(v)m
24367 (e)f(so)f(small)0 5665 y(cross)h(sections)g(that)f(they)i(w)m(ould)e
24368 (almost)f(nev)m(er)j(b)s(e)e(generated)h(an)m(yw)m(a)m(y)-8
24369 b(.)51 b(\(W)-8 b(e)35 b(here)g(exclude)g(the)1817 5953
24370 y(108)p eop
24371 %%Page: 109 115
24372 109 114 bop 0 -18 a Fw(cases)37 b(of)e(`underlying)g(ev)m(en)m(ts')i
24373 (and)f(`pile-up)e(ev)m(en)m(ts',)k(where)f(mixing)c(is)i(pro)m(vided)h
24374 (for,)f(and)h(ev)m(en)0 90 y(is)c(a)g(cen)m(tral)h(part)f(of)g(the)h
24375 (formalism,)c(see)34 b(sections)f(11.2)f(and)h(11.3.\))146
24376 198 y(Once)40 b(the)f(cross-section)h(parametrizations)d(has)i(b)s(een)
24377 h(used)g(to)e(pic)m(k)h(one)h(of)e(the)h(pro)s(cesses,)0
24378 307 y(the)33 b(v)-5 b(ariables)31 b Fj(t)i Fw(and)g Fj(M)43
24379 b Fw(are)33 b(selected)g(according)f(to)g(the)h(form)m(ulae)e(giv)m(en)
24380 i(ab)s(o)m(v)m(e.)146 415 y(A)j Fj(\032)305 379 y Fl(0)381
24381 415 y Fw(formed)f(b)m(y)i Fj(\015)i Fn(!)33 b Fj(\032)1124
24382 379 y Fl(0)1200 415 y Fw(in)i(elastic)g(or)h(di\013ractiv)m(e)f
24383 (scattering)h(is)f(p)s(olarized,)h(and)g(therefore)0
24384 523 y(its)e(deca)m(y)i(angular)d(distribution)g(in)h
24385 Fj(\032)1465 487 y Fl(0)1535 523 y Fn(!)d Fj(\031)1725
24386 487 y Fl(+)1784 523 y Fj(\031)1843 487 y Fk(\000)1936
24387 523 y Fw(is)k(tak)m(en)g(to)f(b)s(e)h(prop)s(ortional)d(to)i(sin)3364
24388 483 y Fl(2)3420 523 y Fj(\022)s Fw(,)h(where)0 632 y(the)e(reference)h
24389 (axis)f(is)f(giv)m(en)g(b)m(y)i(the)f Fj(\032)1482 595
24390 y Fl(0)1554 632 y Fw(direction)f(of)g(motion.)146 740
24391 y(A)43 b(ligh)m(t)e(di\013ractiv)m(e)g(system,)46 b(with)c(a)g(mass)h
24392 (less)g(than)f(1)g(GeV)h(ab)s(o)m(v)m(e)g(the)g(mass)f(of)g(the)h(in-)0
24393 848 y(coming)30 b(particle,)h(is)g(allo)m(w)m(ed)g(to)h(deca)m(y)h
24394 (isotropically)c(in)m(to)i(a)g(t)m(w)m(o-b)s(o)s(dy)h(state.)44
24395 b(Single-resonance)0 957 y(di\013ractiv)m(e)39 b(states,)j(suc)m(h)f
24396 (as)e(a)h(\001)1301 920 y Fl(+)1360 957 y Fw(,)h(are)f(therefore)g(not)
24397 f(explicily)f(generated,)k(but)d(are)h(assumed)0 1065
24398 y(describ)s(ed)33 b(in)f(an)h(a)m(v)m(erage,)g(smeared-out)g(sense.)146
24399 1173 y(A)24 b(more)f(massiv)m(e)h(di\013ractiv)m(e)f(system)h(is)f
24400 (subsequen)m(tly)k(treated)d(as)g(a)f(string)g(with)g(the)h(quan)m(tum)
24401 0 1282 y(n)m(um)m(b)s(ers)h(of)f(the)h(original)c(hadron.)41
24402 b(Since)24 b(the)h(exact)g(nature)g(of)f(the)h(p)s(omeron)e(exc)m
24403 (hanged)j(b)s(et)m(w)m(een)0 1390 y(the)49 b(hadrons)f(is)g(unkno)m
24404 (wn,)54 b(t)m(w)m(o)49 b(alternativ)m(es)f(are)g(included.)91
24405 b(In)48 b(the)h(\014rst,)k(the)c(p)s(omeron)e(is)0 1498
24406 y(assumed)28 b(to)f(couple)g(to)g(\(v)-5 b(alence\))28
24407 b(quarks,)h(so)f(that)f(the)h(string)f(is)g(stretc)m(hed)i(directly)e
24408 (b)s(et)m(w)m(een)i(the)0 1607 y(struc)m(k)j(quark)g(and)e(the)i
24409 (remnan)m(t)e(diquark)h(\(an)m(tiquark\))f(of)h(the)g(di\013ractiv)m(e)
24410 f(state.)43 b(In)31 b(the)g(second,)0 1715 y(the)f(in)m(teraction)e(is)
24411 h(rather)h(with)f(a)g(gluon,)h(giving)e(rise)h(to)g(a)g(`hairpin')g
24412 (con\014guration)f(in)h(whic)m(h)h(the)0 1823 y(string)g(is)g(stretc)m
24413 (hed)i(from)d(a)h(quark)i(to)e(a)g(gluon)f(and)i(then)g(bac)m(k)g(to)f
24414 (a)g(diquark)h(\(an)m(tiquark\).)43 b(Both)0 1932 y(of)30
24415 b(these)h(scenarios)f(could)g(b)s(e)g(presen)m(t)i(in)e(the)g(data;)h
24416 (the)f(default)g(c)m(hoice)g(is)g(to)g(mix)e(them)i(in)g(equal)0
24417 2040 y(prop)s(ortions.)146 2148 y(There)45 b(is)e(exp)s(erimen)m(tal)g
24418 (supp)s(ort)h(for)f(more)g(complicated)f(scenarios)i([Ing85],)j
24419 (wherein)d(the)0 2257 y(p)s(omeron)38 b(has)h(a)f(partonic)g
24420 (substructure,)43 b(whic)m(h)c(e.g.)62 b(can)39 b(lead)f(to)g(high-)p
24421 Fj(p)2950 2272 y Fk(?)3047 2257 y Fw(jet)g(pro)s(duction)g(in)0
24422 2365 y(the)33 b(di\013ractiv)m(e)f(system.)44 b(The)33
24423 b(full)e(mac)m(hinery)-8 b(,)32 b(wherein)h(a)f(p)s(omeron)f(sp)s
24424 (ectrum)i(is)f(folded)g(with)g(a)0 2473 y(p)s(omeron-proton)f(hard)i
24425 (in)m(teraction,)e(is)h(not)h(a)m(v)-5 b(ailable)30 b(in)i
24426 Fm(Pythia)p Fw(.)0 2717 y Fo(7.7.2)112 b(Photopro)s(duction)37
24427 b(and)h Fj(\015)5 b(\015)43 b Fo(ph)m(ysics)0 2890 y
24428 Fw(The)35 b(photopro)s(duction)f(part)g(is)g(still)e(under)j(activ)m(e)
24429 g(dev)m(elopmen)m(t.)50 b(Curren)m(tly)35 b(only)f(in)m(teractions)0
24430 2998 y(b)s(et)m(w)m(een)27 b(a)e(hadron)h(and)f(a)g(real)f(photon)h(ha)
24431 m(v)m(e)i(b)s(een)f(studied)g(in)e(detail.)39 b Fj(\015)5
24432 b(\015)31 b Fw(ph)m(ysics)26 b(is)f(under)h(study)0 3106
24433 y([Sc)m(h94a],)32 b(and)f(is)g(no)m(w)h(preliminarily)27
24434 b(included)k(for)f(real)h(photons.)43 b(Deep)32 b(inelastic)e
24435 (scattering)h(on)0 3215 y(a)i(real)f(photon)h(is)g(also)f
24436 (preliminarily)c(included.)45 b(In)33 b(the)h(future)f(it)f(is)h(hop)s
24437 (ed)g(to)g(add)g(in)m(teractions)0 3323 y(of)i(mildly)e(virtual)h
24438 (photons)j(\(the)f(transition)e(region)h(b)s(et)m(w)m(een)i(real)e
24439 (photons)i(and)e(deep)i(inelastic)0 3431 y(scattering\).)146
24440 3540 y(The)d(total)d Fj(\015)5 b Fw(p)32 b(and)h Fj(\015)5
24441 b(\015)37 b Fw(cross)c(sections)g(can)g(again)e(b)s(e)i(parametrized)e
24442 (in)h(a)g(form)f(lik)m(e)h(eq.)h(\(96\),)0 3648 y(whic)m(h)27
24443 b(is)f(not)h(so)g(ob)m(vious)g(since)g(the)g(photon)g(has)g(more)f
24444 (complicated)f(structure)j(than)f(an)f(ordinary)0 3756
24445 y(hadron.)43 b(In)30 b(fact,)h(the)f(structure)h(is)f(still)e(not)i(so)
24446 g(w)m(ell)f(understo)s(o)s(d.)43 b(The)31 b(mo)s(del)e(w)m(e)i(outline)
24447 d(is)i(the)0 3865 y(one)i(studied)g(b)m(y)g(Sc)m(h)m(uler)g(and)g
24448 (Sj\177)-49 b(ostrand)32 b([Sc)m(h93,)g(Sc)m(h93a].)43
24449 b(In)32 b(this)f(mo)s(del)f(the)i(ph)m(ysical)f(photon)0
24450 3973 y(is)h(represen)m(ted)j(b)m(y)484 4184 y Fn(j)p
24451 Fj(\015)5 b Fn(i)27 b Fw(=)738 4078 y Fg(q)p 821 4078
24452 107 4 v 106 x Fj(Z)888 4199 y Fl(3)943 4184 y Fn(j)p
24453 Fj(\015)1022 4199 y Fh(B)1082 4184 y Fn(i)22 b Fw(+)1406
24454 4101 y Fg(X)1241 4291 y Fh(V)16 b Fl(=)p Fh(\032)1389
24455 4272 y Ff(0)1424 4291 y Fh(;!)r(;\036;)p Fl(J)p Fh(= )1749
24456 4117 y Fj(e)p 1717 4161 110 4 v 1717 4253 a(f)1765 4268
24457 y Fh(V)1853 4184 y Fn(j)p Fj(V)21 b Fn(i)h Fw(+)2169
24458 4117 y Fj(e)p 2128 4161 127 4 v 2128 4253 a(f)2176 4268
24459 y Fl(q)p 2213 4229 38 4 v(q)2281 4184 y Fn(j)p Fw(q)p
24460 2360 4131 52 4 v(q)q Fn(i)g Fw(+)2629 4101 y Fg(X)2571
24461 4286 y Fh(`)p Fl(=e)p Fh(;\026;\034)2865 4117 y Fj(e)p
24462 2833 4161 110 4 v 2833 4253 a(f)2881 4268 y Fh(``)2970
24463 4184 y Fn(j)p Fj(`)3039 4143 y Fl(+)3097 4184 y Fj(`)3138
24464 4143 y Fk(\000)3197 4184 y Fn(i)32 b Fj(:)262 b Fw(\(105\))146
24465 4463 y(By)35 b(virtue)g(of)f(this)g(sup)s(erp)s(osition,)h(one)g(is)f
24466 (led)g(to)g(a)g(mo)s(del)f(of)i Fj(\015)5 b Fw(p)34 b(in)m(teractions,)
24467 h(where)h(three)0 4572 y(di\013eren)m(t)d(kinds)g(of)f(ev)m(en)m(ts)j
24468 (ma)m(y)d(b)s(e)h(distinguished:)145 4685 y Fn(\017)49
24469 b Fw(Direct)36 b(ev)m(en)m(ts,)41 b(wherein)d(the)g(bare)f(photon)h
24470 Fn(j)p Fj(\015)2051 4700 y Fh(B)2110 4685 y Fn(i)f Fw(in)m(teracts)h
24471 (directly)f(with)g(a)g(parton)g(from)244 4793 y(the)j(proton.)63
24472 b(The)41 b(pro)s(cess)f(is)f(p)s(erturbativ)m(ely)h(calculable,)f(and)g
24473 (no)h(parton)f(distributions)244 4901 y(of)e(the)i(photon)f(are)g(in)m
24474 (v)m(olv)m(ed.)61 b(The)38 b(t)m(ypical)g(ev)m(en)m(t)i(structure)f(is)
24475 f(t)m(w)m(o)g(high-)p Fj(p)3252 4916 y Fk(?)3348 4901
24476 y Fw(jets)h(and)f(a)244 5010 y(proton)32 b(remnan)m(t,)h(while)f(the)h
24477 (photon)f(do)s(es)h(not)g(lea)m(v)m(e)g(b)s(ehind)f(an)m(y)h(remnan)m
24478 (t.)145 5128 y Fn(\017)49 b Fw(VMD)33 b(ev)m(en)m(ts,)j(in)d(whic)m(h)h
24479 (the)g(photon)f(\015uctuates)i(in)m(to)d(a)h(v)m(ector)i(meson,)f
24480 (predominan)m(tly)e(a)244 5236 y Fj(\032)294 5200 y Fl(0)334
24481 5236 y Fw(.)41 b(All)26 b(the)i(ev)m(en)m(t)h(classes)g(kno)m(wn)g
24482 (from)d(ordinary)h(hadron{hadron)g(in)m(teractions)g(ma)m(y)g(th)m(us)
24483 244 5344 y(o)s(ccur)38 b(here,)j(suc)m(h)f(as)e(elastic,)h
24484 (di\013ractiv)m(e,)g(lo)m(w-)p Fj(p)2160 5359 y Fk(?)2256
24485 5344 y Fw(and)g(high-)p Fj(p)2719 5359 y Fk(?)2815 5344
24486 y Fw(ev)m(en)m(ts.)62 b(F)-8 b(or)38 b(the)g(latter,)244
24487 5453 y(one)45 b(ma)m(y)f(de\014ne)i(\(VMD\))e(parton)g(distributions)f
24488 (of)h(the)h(photon,)i(and)e(the)g(photon)f(also)244 5561
24489 y(lea)m(v)m(es)35 b(b)s(ehind)f(a)g(b)s(eam)f(remnan)m(t.)49
24490 b(This)34 b(remnan)m(t)g(is)g(smeared)g(in)g(transv)m(erse)i(momen)m
24491 (tum)244 5669 y(b)m(y)d(a)g(t)m(ypical)e(`primordial)e
24492 Fj(k)1335 5684 y Fk(?)1394 5669 y Fw(')k(of)f(a)g(few)h(h)m(undred)h
24493 (MeV.)1817 5953 y(109)p eop
24494 %%Page: 110 116
24495 110 115 bop 145 -18 a Fn(\017)49 b Fw(Anomalous)29 b(ev)m(en)m(ts,)k
24496 (in)c(whic)m(h)i(the)f(photon)g(\015uctuates)i(in)m(to)d(a)h(q)p
24497 2719 -71 52 4 v(q)h(pair)e(of)g(larger)g(virtualit)m(y)244
24498 90 y(than)37 b(in)f(the)h(VMD)g(class.)57 b(This)37 b(pro)s(cess)h(is)e
24499 (p)s(erturbativ)m(ely)h(calculable,)f(as)i(is)e(the)h(subse-)244
24500 198 y(quen)m(t)j(QCD)e(ev)m(olution.)60 b(It)39 b(giv)m(es)g(rise)f(to)
24501 g(the)h(so-called)e(anomalous)g(part)h(of)g(the)h(parton)244
24502 307 y(distributions)32 b(ofthe)i(photon,)h(whence)g(the)g(name)e(for)g
24503 (the)i(class.)47 b(It)34 b(is)g(assumed)g(that)g(only)244
24504 415 y(high-)p Fj(p)511 430 y Fk(?)601 415 y Fw(ev)m(en)m(ts)h(ma)m(y)e
24505 (o)s(ccur.)44 b(Either)33 b(the)g(q)g(or)f(the)p 2250
24506 362 V 34 w(q)h(pla)m(ys)g(the)g(r^)-49 b(ole)32 b(of)g(a)g(b)s(eam)g
24507 (remnan)m(t,)244 523 y(but)f(this)f(remnan)m(t)h(has)g(a)g(larger)f
24508 Fj(p)1571 538 y Fk(?)1660 523 y Fw(than)h(in)f(the)i(VMD)e(case,)j
24509 (related)d(to)h(the)g(virtualit)m(y)e(of)244 632 y(the)k
24510 Fj(\015)g Fn($)27 b Fw(q)p 674 579 V(q)33 b(\015uctuation.)0
24511 745 y(The)44 b Fn(j)p Fj(`)280 708 y Fl(+)339 745 y Fj(`)380
24512 708 y Fk(\000)439 745 y Fn(i)e Fw(states)i(can)g(only)e(in)m(teract)h
24513 (strongly)g(with)g(partons)g(inside)g(the)g(hadron)g(at)g(higher)0
24514 853 y(orders,)33 b(and)g(can)g(therefore)g(b)s(e)g(neglected.)146
24515 961 y(In)28 b(order)f(that)g(the)h(ab)s(o)m(v)m(e)g(classi\014cation)e
24516 (is)h(smo)s(oth)f(and)h(free)h(of)f(double)g(coun)m(ting,)h(one)f(has)h
24517 (to)0 1070 y(in)m(tro)s(duce)g(scales)h(that)e(separate)i(the)g(three)f
24518 (comp)s(onen)m(ts.)43 b(The)29 b(main)d(one)j(is)e Fj(p)3018
24519 1085 y Fl(0)3058 1070 y Fw(,)i(whic)m(h)f(separates)0
24520 1178 y(the)38 b(lo)m(w-mass)f(v)m(ector)h(meson)g(region)e(from)h(the)g
24521 (high-mass)g Fn(j)p Fw(q)p 2441 1125 V(q)p Fn(i)h Fw(one,)h
24522 Fj(p)2830 1193 y Fl(0)2905 1178 y Fn(\031)e Fj(m)3104
24523 1193 y Fh(\036)3150 1178 y Fj(=)p Fw(2)f Fn(\031)g Fw(0)p
24524 Fj(:)p Fw(5)h(GeV.)0 1286 y(Since)23 b(it)g(is)g(the)g(same)h
24525 Fj(\015)5 b Fw(q)p 924 1233 V(q)24 b(v)m(ertex)h(that)e(is)g(resp)s
24526 (onsible)g(for)g(the)h(bare)f Fj(\015)5 b Fw(p)24 b(in)m(teractions,)g
24527 Fj(p)3306 1301 y Fl(0)3369 1286 y Fw(is)f(also)f(the)0
24528 1395 y(lo)m(w)m(er)29 b(cut-o\013)f(of)g(the)h(photon{parton)f(cross)i
24529 (sections.)42 b(In)29 b(addition,)f(a)g Fj(p)2770 1410
24530 y Fk(?)p Fl(min)2975 1395 y Fw(cut-o\013)h(is)f(needed)i(to)0
24531 1503 y(separate)e(lo)m(w-)p Fj(p)606 1518 y Fk(?)691
24532 1503 y Fw(and)f(high-)p Fj(p)1142 1518 y Fk(?)1226 1503
24533 y Fw(ph)m(ysics;)k(see)d(section)f(11.2.)41 b(As)28 b(it)d(turns)j
24534 (out,)g(somewhat)f(di\013eren)m(t)0 1611 y Fj(p)49 1626
24535 y Fk(?)p Fl(min)255 1611 y Fw(v)-5 b(alues)30 b(are)f(needed)j(for)d
24536 (the)h(VMD)f(and)h(anomalous)e(parts;)j(at)e(least)g(qualitativ)m(ely)f
24537 (this)h(can)0 1720 y(b)s(e)k(understo)s(o)s(d)g(in)f(terms)g(of)g
24538 (di\013eren)m(t)h(sizes)g(of)f(the)h(w)m(a)m(v)m(e)i(functions.)146
24539 1828 y(The)g(VMD)f(and)g(anomalous)e(ev)m(en)m(ts)k(are)e(together)g
24540 (called)f(resolv)m(ed)i(ones.)48 b(In)34 b(terms)g(of)g(high-)0
24541 1936 y Fj(p)49 1951 y Fk(?)144 1936 y Fw(jet)h(pro)s(duction,)h(the)g
24542 (VMD)g(and)g(anomalous)e(con)m(tributions)h(can)h(b)s(e)f(com)m(bined)h
24543 (in)m(to)f(a)g(total)0 2045 y(resolv)m(ed)40 b(one,)i(and)e(the)f(same)
24544 h(for)f(parton-distribution)e(functions.)64 b(Ho)m(w)m(ev)m(er,)43
24545 b(the)d(t)m(w)m(o)h(classes)0 2153 y(di\013er)32 b(in)g(the)h
24546 (structure)h(of)e(the)h(underlying)f(ev)m(en)m(t)i(and)f(in)f(the)h
24547 (app)s(earance)g(of)f(soft)g(pro)s(cesses.)146 2261 y(In)h(terms)g(of)f
24548 (cross)h(sections,)h(eq.)f(\(105\))f(corresp)s(onds)i(to)1053
24549 2464 y Fj(\033)1112 2416 y Fh(\015)t Fl(p)1108 2483 y(tot)1203
24550 2464 y Fw(\()p Fj(s)p Fw(\))27 b(=)h Fj(\033)1515 2416
24551 y Fh(\015)t Fl(p)1511 2489 y(dir)1602 2464 y Fw(\()p
24552 Fj(s)p Fw(\))22 b(+)g Fj(\033)1903 2416 y Fh(\015)t Fl(p)1899
24553 2488 y(VMD)2075 2464 y Fw(\()p Fj(s)p Fw(\))g(+)g Fj(\033)2376
24554 2423 y Fh(\015)t Fl(p)2372 2488 y(anom)2545 2464 y Fw(\()p
24555 Fj(s)p Fw(\))32 b Fj(:)831 b Fw(\(106\))146 2666 y(The)34
24556 b(direct)f(cross)i(section)e(is,)g(to)g(lo)m(w)m(est)g(order,)h(the)g
24557 (p)s(erturbativ)m(e)f(cross)h(section)g(for)e(the)i(t)m(w)m(o)0
24558 2774 y(pro)s(cesses)39 b Fj(\015)5 b Fw(q)35 b Fn(!)f
24559 Fw(qg)k(and)f Fj(\015)5 b Fw(g)36 b Fn(!)e Fw(q)p 1360
24560 2721 V(q)q(,)k(with)e(a)g(lo)m(w)m(er)h(cut-o\013)f Fj(p)2406
24561 2789 y Fk(?)2500 2774 y Fj(>)f(p)2660 2789 y Fl(0)2699
24562 2774 y Fw(.)56 b(Prop)s(erly)36 b(sp)s(eaking,)i(this)0
24563 2883 y(should)32 b(b)s(e)h(m)m(ultiplied)d(b)m(y)j(the)g
24564 Fj(Z)1276 2898 y Fl(3)1348 2883 y Fw(co)s(e\016cien)m(t,)708
24565 3170 y Fj(Z)775 3185 y Fl(3)842 3170 y Fw(=)27 b(1)22
24566 b Fn(\000)1280 3087 y Fg(X)1116 3276 y Fh(V)15 b Fl(=)p
24567 Fh(\032)1263 3258 y Ff(0)1298 3276 y Fh(;!)r(;\036;)p
24568 Fl(J)p Fh(= )1582 3024 y Fg( )1689 3103 y Fj(e)p 1657
24569 3147 110 4 v 1657 3238 a(f)1705 3253 y Fh(V)1776 3024
24570 y Fg(!)1842 3047 y Fl(2)1904 3170 y Fn(\000)2003 3024
24571 y Fg( )2120 3103 y Fj(e)p 2079 3147 127 4 v 2079 3238
24572 a(f)2127 3253 y Fl(q)p 2164 3215 38 4 v(q)2216 3024 y
24573 Fg(!)2281 3047 y Fl(2)2343 3170 y Fn(\000)2500 3087 y
24574 Fg(X)2443 3272 y Fh(`)p Fl(=e)p Fh(;\026;\034)2695 3024
24575 y Fg( )2803 3103 y Fj(e)p 2771 3147 110 4 v 2771 3238
24576 a(f)2819 3253 y Fh(``)2890 3024 y Fg(!)2956 3047 y Fl(2)3045
24577 3170 y Fj(;)485 b Fw(\(107\))0 3473 y(but)33 b(normally)d
24578 Fj(Z)655 3488 y Fl(3)727 3473 y Fw(is)i(so)h(close)f(to)g(unit)m(y)h
24579 (as)g(to)f(mak)m(e)h(no)f(di\013erence.)146 3581 y(The)h(VMD)g(factor)e
24580 (\()p Fj(e=f)1074 3596 y Fh(V)1135 3581 y Fw(\))1173
24581 3545 y Fl(2)1240 3581 y Fw(=)d(4)p Fj(\031)t(\013)1514
24582 3596 y Fl(em)1608 3581 y Fj(=f)1716 3545 y Fl(2)1705
24583 3606 y Fh(V)1798 3581 y Fw(giv)m(es)k(the)h(probabilit)m(y)d(for)i(the)
24584 g(transition)f Fj(\015)i Fn(!)27 b Fj(V)21 b Fw(.)0 3689
24585 y(The)34 b(co)s(e\016cien)m(ts)h Fj(f)755 3653 y Fl(2)744
24586 3714 y Fh(V)805 3689 y Fj(=)p Fw(4)p Fj(\031)i Fw(are)d(determined)f
24587 (from)f(data)i(to)f(b)s(e)g(\(with)h(a)f(non-negligible)d(amoun)m(t)j
24588 (of)0 3798 y(uncertain)m(t)m(y\))g(2.20)f(for)f Fj(\032)959
24589 3762 y Fl(0)999 3798 y Fw(,)h(23.6)g(for)g Fj(!)t Fw(,)f(18.4)h(for)g
24590 Fj(\036)g Fw(and)g(11.5)f(for)h(J)p Fj(= )t Fw(.)43 b(T)-8
24591 b(ogether)33 b(these)h(n)m(um)m(b)s(ers)0 3906 y(imply)d(that)i(the)h
24592 (photon)f(can)h(b)s(e)f(found)h(in)e(a)h(VMD)g(state)h(ab)s(out)f
24593 (0.4\045)g(of)g(the)h(time,)e(dominated)0 4014 y(b)m(y)39
24594 b(the)f Fj(\032)364 3978 y Fl(0)441 4014 y Fw(con)m(tribution.)57
24595 b(All)36 b(the)i(prop)s(erties)g(of)f(the)h(VMD)g(in)m(teractions)f
24596 (can)h(b)s(e)f(obtained)h(b)m(y)0 4123 y(appropriately)29
24597 b(scaling)f(do)m(wn)j Fj(V)22 b Fw(p)30 b(ph)m(ysics)h(predictions.)42
24598 b(Th)m(us)32 b(the)e(whole)g(mac)m(hinery)g(dev)m(elop)s(ed)0
24599 4231 y(in)44 b(the)h(previous)f(subsection)i(for)e(hadron{hadron)g(in)m
24600 (teractions)g(is)g(directly)g(applicable.)77 b(Also)0
24601 4339 y(parton)36 b(distributions)e(of)i(the)h(VMD)f(comp)s(onen)m(t)g
24602 (inside)f(the)i(photon)f(are)g(obtained)f(b)m(y)i(suitable)0
24603 4448 y(rescaling.)146 4556 y(The)32 b(con)m(tribution)f(from)e(the)j
24604 (`anomalous')e(high-mass)g(\015uctuations)h(dep)s(ends)i(on)e(the)g(t)m
24605 (ypical)0 4664 y(scale)i Fj(\026)f Fw(of)g(the)h(in)m(teraction)1043
24606 4806 y Fg( )1159 4885 y Fj(e)p 1119 4929 127 4 v 1119
24607 5020 a(f)1167 5035 y Fl(q)p 1204 4997 38 4 v(q)1255 4806
24608 y Fg(!)1321 4829 y Fl(2)1388 4952 y Fn(\031)1503 4885
24609 y Fj(\013)1565 4900 y Fl(em)p 1503 4929 157 4 v 1528
24610 5020 a Fw(2)p Fj(\031)1696 4885 y(N)1774 4900 y Fh(C)p
24611 1696 4929 138 4 v 1740 5020 a Fw(3)1877 4806 y Fg( )1942
24612 4952 y Fw(2)2008 4869 y Fg(X)2049 5043 y Fl(q)2144 4952
24613 y Fj(e)2189 4911 y Fl(2)2189 4977 y(q)2231 4806 y Fg(!)2313
24614 4952 y Fw(ln)2411 4806 y Fg( )2487 4885 y Fj(\026)2546
24615 4848 y Fl(2)p 2487 4929 99 4 v 2492 5020 a Fj(p)2541
24616 4986 y Fl(2)2541 5042 y(0)2595 4806 y Fg(!)2710 4952
24617 y Fj(;)820 b Fw(\(108\))0 5236 y(where)43 b Fj(N)369
24618 5251 y Fh(C)471 5236 y Fw(=)g(3)e(and)h(q)g(runs)g(o)m(v)m(er)g(the)g
24619 (quarks)h(that)f(can)f(b)s(e)h(tak)m(en)h(massless)e(compared)h(with)0
24620 5344 y Fj(\026)p Fw(.)63 b(The)40 b(logarithmic)35 b(increase)k(with)g
24621 Fj(\026)g Fw(implies)d(that)j(the)h(anomalous)d(con)m(tribution)h(to)h
24622 (the)g(to-)0 5453 y(tal)g(photopro)s(duction)g(cross)i(section)g(\()p
24623 Fj(\026)f Fn(\030)h Fj(m)1822 5468 y Fh(V)1883 5453 y
24624 Fw(\))f(is)g(less)g(imp)s(ortan)m(t)f(than)h(that)g(to)g(high-)p
24625 Fj(p)3571 5468 y Fk(?)3668 5453 y Fw(jet)0 5561 y(pro)s(duction)34
24626 b(\()p Fj(\026)c Fn(\030)h Fj(p)782 5576 y Fk(?)841 5561
24627 y Fw(\).)48 b(T)-8 b(o)34 b(\014rst)h(appro)m(ximation,)e(therefore)i
24628 (only)e(p)s(erturbativ)m(e)i(jet)f(pro)s(duction)0 5669
24629 y(ab)s(o)m(v)m(e)42 b(some)g Fj(p)588 5684 y Fk(?)p Fl(min)806
24630 5669 y Fw(scale)f(is)g(considered.)71 b(This)42 b(includes)f(the)h
24631 (standard)g(QCD)f(parton{parton)1817 5953 y(110)p eop
24632 %%Page: 111 117
24633 111 116 bop 0 -18 a Fw(scattering)28 b(pro)s(cesses,)j(with)d
24634 (anomalous-photon)e(parton)h(distributions)g(that)h(are)g(fully)f(p)s
24635 (erturba-)0 90 y(tiv)m(ely)j(calculable)f([Sc)m(h95)q(].)42
24636 b(In)31 b(order)g(to)f(satisfy)g(the)h(equalit)m(y)f(in)g(eq.)h
24637 (\(106\),)g(with)f(the)h(total)e(cross)0 198 y(section)j(kno)m(wn)i
24638 (and)e(the)g(direct)g(and)h(VDM)f(con)m(tributions)f(already)h
24639 (\014xed,)h(a)f(b)s(eha)m(viour)g(roughly)0 307 y(lik)m(e)1039
24640 415 y Fj(p)1088 374 y Fl(anom)1088 440 y Fk(?)p Fl(min)1264
24641 415 y Fw(\()p Fj(s)p Fw(\))c(=)f(0)p Fj(:)p Fw(70)22
24642 b(+)g(0)p Fj(:)p Fw(17)17 b(log)2127 372 y Fl(2)2166
24643 415 y Fw(\(1)p Fj(:)22 b Fw(+)g(0)p Fj(:)p Fw(05)2574
24644 339 y Fn(p)p 2657 339 46 4 v 76 x Fj(s)p Fw(\))816 b(\(109\))0
24645 577 y(is)49 b(needed)h(o)m(v)m(er)h(the)e(HERA)h(energy)g(range.)93
24646 b(This)49 b(is)g(to)g(b)s(e)g(seen)h(en)m(tirely)f(as)h(a)e(pragmatic)0
24647 686 y(parametrization,)28 b(not)i(b)s(e)h(giv)m(en)f(an)m(y)h(fundamen)
24648 m(tal)f(in)m(terpretation.)41 b(It)31 b(is)e(based)j(on)e(SaS)g(set)h
24649 (1D,)0 794 y(another)i(set)g(migh)m(t)e(w)m(ell)h(require)h(a)f
24650 (somewhat)h(di\013eren)m(t)g(form.)146 902 y(In)40 b
24651 Fj(\015)5 b(\015)44 b Fw(ph)m(ysics)d([Sc)m(h94a)q(],)g(the)f(sup)s
24652 (erp)s(osition)e(in)h(eq.)h(\(105\))f(applies)f(separately)i(for)f(eac)
24653 m(h)h(of)0 1011 y(the)31 b(t)m(w)m(o)h(incoming)c(photons.)44
24654 b(In)31 b(total)e(there)j(are)e(therefore)i(3)18 b Fn(\002)h
24655 Fw(3)28 b(=)f(9)k(com)m(binations.)41 b(Ho)m(w)m(ev)m(er,)0
24656 1119 y(trivial)36 b(symmetry)j(reduces)i(this)e(to)g(six)f(distinct)h
24657 (classes,)i(written)e(in)f(terms)h(of)g(the)g(total)f(cross)0
24658 1227 y(section)33 b(\(cf.)43 b(eq.)34 b(\(106\)\))d(as)629
24659 1435 y Fj(\033)688 1388 y Fh(\015)t(\015)684 1455 y Fl(tot)779
24660 1435 y Fw(\()p Fj(s)p Fw(\))83 b(=)g Fj(\033)1202 1388
24661 y Fh(\015)t(\015)1198 1460 y Fl(dir)o Fk(\002)p Fl(dir)1430
24662 1435 y Fw(\()p Fj(s)p Fw(\))22 b(+)g Fj(\033)1731 1388
24663 y Fh(\015)t(\015)1727 1460 y Fl(VMD)p Fk(\002)p Fl(VMD)2129
24664 1435 y Fw(\()p Fj(s)p Fw(\))g(+)g Fj(\033)2430 1388 y
24665 Fh(\015)t(\015)2426 1454 y Fl(anom)p Fk(\002)p Fl(anom)2823
24666 1435 y Fw(\()p Fj(s)p Fw(\))984 1568 y(+)83 b(2)p Fj(\033)1251
24667 1521 y Fh(\015)t(\015)1247 1594 y Fl(dir)o Fk(\002)p
24668 Fl(VMD)1564 1568 y Fw(\()p Fj(s)p Fw(\))22 b(+)g(2)p
24669 Fj(\033)1914 1521 y Fh(\015)t(\015)1910 1594 y Fl(dir)o
24670 Fk(\002)p Fl(anom)2224 1568 y Fw(\()p Fj(s)p Fw(\))g(+)g(2)p
24671 Fj(\033)2574 1521 y Fh(\015)t(\015)2570 1593 y Fl(VMD)o
24672 Fk(\002)p Fl(anom)2969 1568 y Fw(\()p Fj(s)p Fw(\))32
24673 b Fj(:)407 b Fw(\(110\))0 1776 y(A)31 b(parametrization)e(of)h(the)i
24674 (total)d Fj(\015)5 b(\015)36 b Fw(cross)c(section)f(and)g(commen)m(ts)g
24675 (on)g(its)g(sub)s(division)f(in)m(to)g(the)0 1885 y(six)j(classes)g(is)
24676 f(found)h(in)f([Sc)m(h94a].)146 1993 y(The)i(six)e(di\013eren)m(t)h
24677 (kinds)g(of)f Fj(\015)5 b(\015)38 b Fw(ev)m(en)m(ts)d(are)d(th)m(us:)
24678 145 2106 y Fn(\017)49 b Fw(The)36 b(direct)p Fn(\002)p
24679 Fw(direct)g(ev)m(en)m(ts,)j(whic)m(h)d(corresp)s(ond)g(to)f(the)h
24680 (subpro)s(cess)i Fj(\015)5 b(\015)38 b Fn(!)32 b Fw(q)p
24681 3267 2053 52 4 v(q)k(\(or)g Fj(`)3556 2070 y Fl(+)3615
24682 2106 y Fj(`)3656 2070 y Fk(\000)3714 2106 y Fw(\).)244
24683 2215 y(The)g(t)m(ypical)f(ev)m(en)m(t)i(structure)g(is)e(t)m(w)m(o)h
24684 (high-)p Fj(p)2006 2230 y Fk(?)2099 2215 y Fw(jets)g(and)g(no)f(b)s
24685 (eam)g(remnan)m(ts.)53 b(The)36 b(lo)m(w)m(er)244 2323
24686 y(cut-o\013)c(is)g Fj(p)697 2338 y Fk(?)784 2323 y Fj(>)27
24687 b(p)936 2338 y Fl(0)976 2323 y Fw(.)145 2441 y Fn(\017)49
24688 b Fw(The)39 b(VMD)p Fn(\002)p Fw(VMD)f(ev)m(en)m(ts,)j(whic)m(h)d(ha)m
24689 (v)m(e)h(the)f(same)g(prop)s(erties)g(as)f(the)i(VMD)e
24690 Fj(\015)5 b Fw(p)38 b(ev)m(en)m(ts.)244 2549 y(There)f(are)g(four)f(b)m
24691 (y)h(four)f(com)m(binations)f(of)g(the)i(t)m(w)m(o)g(incoming)d(v)m
24692 (ector)j(mesons,)h(with)e(one)244 2657 y(VMD)c(factor)h(for)f(eac)m(h)h
24693 (meson.)145 2775 y Fn(\017)49 b Fw(The)39 b(anomalous)p
24694 Fn(\002)p Fw(anomalous)d(ev)m(en)m(ts,)42 b(wherein)d(eac)m(h)h(photon)
24695 e(\015uctuates)i(in)m(to)e(a)g(q)p 3521 2722 V(q)i(pair)244
24696 2883 y(of)c(larger)g(virtualit)m(y)f(than)h(in)g(the)h(VMD)g(class.)56
24697 b(One)37 b(parton)f(of)g(eac)m(h)i(pair)e(giv)m(es)h(a)f(b)s(eam)244
24698 2992 y(remnan)m(t,)29 b(whereas)g(the)f(other)g(\(or)f(a)h(daugh)m(ter)
24699 g(parton)g(thereof)7 b(\))27 b(participates)g(in)g(a)h(high-)p
24700 Fj(p)3722 3007 y Fk(?)244 3100 y Fw(scattering,)k(with)h
24701 Fj(p)993 3115 y Fk(?)1079 3100 y Fj(>)28 b(p)1232 3064
24702 y Fl(anom)1232 3125 y Fk(?)p Fl(min)1408 3100 y Fw(.)145
24703 3218 y Fn(\017)49 b Fw(The)33 b(direct)p Fn(\002)p Fw(VMD)g(ev)m(en)m
24704 (ts,)i(whic)m(h)e(ha)m(v)m(e)h(the)f(same)g(prop)s(erties)f(as)h(the)g
24705 (direct)f Fj(\015)5 b Fw(p)33 b(ev)m(en)m(ts.)145 3336
24706 y Fn(\017)49 b Fw(The)31 b(direct)p Fn(\002)p Fw(anomalous)e(ev)m(en)m
24707 (ts,)k(in)c(whic)m(h)i(a)f(bare)g(photon)h(in)m(teracts)f(with)g(a)g
24708 (parton)g(from)244 3444 y(the)k(anomalous)e(photon.)48
24709 b(The)34 b(lo)m(w)m(er)g(cut-o\013)g(for)f(the)h(hard)g(scattering)g
24710 (is)f(giv)m(en)h(b)m(y)h Fj(p)3576 3408 y Fl(anom)3576
24711 3469 y Fk(?)p Fl(min)3752 3444 y Fw(.)244 3552 y(The)e(t)m(ypical)f
24712 (structure)i(is)e(then)h(t)m(w)m(o)h(high-)p Fj(p)1954
24713 3567 y Fk(?)2044 3552 y Fw(jets)f(and)g(a)f(b)s(eam)g(remnan)m(t.)145
24714 3670 y Fn(\017)49 b Fw(The)30 b(VMD)p Fn(\002)p Fw(anomalous)d(ev)m(en)
24715 m(ts,)32 b(whic)m(h)d(ha)m(v)m(e)i(the)e(same)f(prop)s(erties)h(as)g
24716 (the)g(anomalous)e Fj(\015)5 b Fw(p)244 3779 y(ev)m(en)m(ts.)0
24717 3892 y(In)26 b(m)m(uc)m(h)h(of)e(the)i(literature,)f(where)h(a)f
24718 (coarser)g(classi\014cation)f(us)i(used,)h(our)e(direct)p
24719 Fn(\002)p Fw(direct)g(is)g(called)0 4000 y(direct,)f(our)f(direct)p
24720 Fn(\002)p Fw(VMD)g(and)f(direct)p Fn(\002)p Fw(anomalous)g(is)g(called)
24721 f(1-resolv)m(ed)i(since)g(they)h(b)s(oth)e(in)m(v)m(olv)m(e)0
24722 4108 y(one)32 b(resolv)m(ed)g(photon)g(whic)m(h)g(giv)m(es)g(a)f(b)s
24723 (eam)g(remnan)m(t,)g(and)h(the)g(rest)g(are)g(called)e(2-resolv)m(es)i
24724 (since)0 4217 y(b)s(oth)g(photons)h(are)g(resolv)m(ed)g(and)g(giv)m(e)g
24725 (b)s(eam)e(remnan)m(ts.)1817 5953 y(111)p eop
24726 %%Page: 112 118
24727 112 117 bop 0 -18 a Ft(8)161 b(Ph)l(ysics)53 b(Pro)t(cesses)g(in)h
24728 (PYTHIA)0 189 y Fw(In)26 b(this)f(section)h(w)m(e)h(en)m(umerate)f(the)
24729 h(ph)m(ysics)g(pro)s(cesses)h(that)d(are)h(a)m(v)-5 b(ailable)23
24730 b(in)i Fm(Pythia)p Fw(,)i(in)m(tro)s(duc-)0 297 y(ing)34
24731 b(the)h(ISUB)h(co)s(de)f(that)g(can)g(b)s(e)g(used)h(to)f(select)g
24732 (desired)h(pro)s(cesses.)53 b(A)35 b(n)m(um)m(b)s(er)g(of)g(commen)m
24733 (ts)0 405 y(are)45 b(made)g(ab)s(out)g(the)h(ph)m(ysics)h(scenarios)f
24734 (in)m(v)m(olv)m(ed,)j(in)44 b(particular)g(with)h(resp)s(ect)i(to)e
24735 (underly-)0 514 y(ing)36 b(assumptions)h(and)g(domain)f(of)g(v)-5
24736 b(alidit)m(y)d(.)55 b(The)38 b(section)g(closes)f(with)g(a)g(surv)m(ey)
24737 i(of)e(in)m(teresting)0 622 y(pro)s(cesses)e(b)m(y)e(mac)m(hine.)0
24738 896 y Fp(8.1)135 b(The)45 b(Pro)t(cess)g(Classi\014cation)h(Sc)l(heme)0
24739 1068 y Fw(A)34 b(wide)g(selection)g(of)g(fundamen)m(tal)f(2)d
24740 Fn(!)g Fw(1)k(and)g(2)d Fn(!)f Fw(2)j(tree)i(pro)s(cesses)h(of)e(the)h
24741 (Standard)f(Mo)s(del)0 1177 y(\(electro)m(w)m(eak)h(and)g(strong\))f
24742 (has)g(b)s(een)h(included)f(in)f Fm(Pythia)p Fw(,)h(and)h(slots)e(are)h
24743 (pro)m(vided)h(for)e(man)m(y)0 1285 y(more,)28 b(not)f(y)m(et)i
24744 (implemen)m(ted.)41 b(In)27 b(addition,)g(a)h(few)g(`minim)m
24745 (um-bias'-t)m(yp)s(e)c(pro)s(cesses)30 b(\(lik)m(e)c(elastic)0
24746 1394 y(scattering\),)38 b(lo)s(op)e(graphs,)j(b)s(o)m(x)f(graphs,)h(2)c
24747 Fn(!)h Fw(3)h(tree)h(graphs)f(and)h(some)f(non-Standard)g(Mo)s(del)0
24748 1502 y(pro)s(cesses)g(are)e(included.)49 b(The)36 b(classi\014cation)d
24749 (is)h(not)h(alw)m(a)m(ys)g(unique.)51 b(A)35 b(pro)s(cess)h(that)e(pro)
24750 s(ceeds)0 1610 y(only)j(via)f(an)h Fj(s)p Fw(-c)m(hannel)g(state)h(is)f
24751 (classi\014ed)g(as)g(a)g(2)f Fn(!)f Fw(1)i(pro)s(cess)h(\(e.g.)58
24752 b(q)p 2873 1557 52 4 v(q)36 b Fn(!)g Fj(\015)3152 1574
24753 y Fk(\003)3191 1610 y Fj(=)p Fw(Z)3300 1574 y Fl(0)3374
24754 1610 y Fn(!)g Fw(e)3553 1574 y Fl(+)3612 1610 y Fw(e)3655
24755 1574 y Fk(\000)3714 1610 y Fw(\),)0 1719 y(but)30 b(a)g(2)d
24756 Fn(!)h Fw(2)h(cross)i(section)f(ma)m(y)g(w)m(ell)f(ha)m(v)m(e)j(con)m
24757 (tributions)d(from)g Fj(s)p Fw(-c)m(hannel)h(diagrams)e(\(gg)g
24758 Fn(!)g Fw(gg)0 1827 y(obtains)41 b(con)m(tributions)g(from)f(gg)k
24759 Fn(!)f Fw(g)1528 1791 y Fk(\003)1610 1827 y Fn(!)g Fw(gg)q(\).)70
24760 b(Also,)43 b(in)e(the)h(program,)g(2)h Fn(!)g Fw(1)e(and)g(2)i
24761 Fn(!)g Fw(2)0 1935 y(graphs)d(ma)m(y)g(sometimes)f(b)s(e)h(folded)f
24762 (with)h(t)m(w)m(o)g(1)g Fn(!)g Fw(2)f(splittings)f(to)i(form)f
24763 (e\013ectiv)m(e)i(2)e Fn(!)h Fw(3)g(or)0 2044 y(2)49
24764 b Fn(!)g Fw(4)44 b(pro)s(cesses)k(\(W)914 2007 y Fl(+)973
24765 2044 y Fw(W)1074 2007 y Fk(\000)1183 2044 y Fn(!)h Fw(H)1405
24766 2007 y Fl(0)1489 2044 y Fw(is)c(folded)f(with)h(q)50
24767 b Fn(!)e Fw(q)2437 2007 y Fk(00)2480 2044 y Fw(W)2581
24768 2007 y Fl(+)2686 2044 y Fw(and)d(q)2939 2007 y Fk(0)3012
24769 2044 y Fn(!)k Fw(q)3212 2007 y Fk(000)3274 2044 y Fw(W)3375
24770 2007 y Fk(\000)3480 2044 y Fw(to)c(giv)m(e)0 2152 y(qq)102
24771 2116 y Fk(0)154 2152 y Fn(!)27 b Fw(q)332 2116 y Fk(00)375
24772 2152 y Fw(q)426 2116 y Fk(000)488 2152 y Fw(H)561 2116
24773 y Fl(0)601 2152 y Fw(\).)146 2260 y(It)33 b(is)e(p)s(ossible)h(to)g
24774 (select)h(a)f(com)m(bination)e(of)i(subpro)s(cesses)j(to)d(sim)m
24775 (ulate,)f(and)h(also)g(afterw)m(ards)0 2369 y(to)47 b(kno)m(w)i(whic)m
24776 (h)f(subpro)s(cess)h(w)m(as)g(actually)d(selected)i(in)f(eac)m(h)i(ev)m
24777 (en)m(t.)90 b(F)-8 b(or)46 b(this)h(purp)s(ose,)53 b(all)0
24778 2477 y(subpro)s(cesses)32 b(are)d(n)m(um)m(b)s(ered)g(according)g(to)f
24779 (an)h(ISUB)g(co)s(de.)43 b(The)29 b(list)f(of)g(p)s(ossible)g(co)s(des)
24780 i(is)e(giv)m(en)0 2585 y(in)c(T)-8 b(ables)24 b(11,)i(12,)g(13)e(and)g
24781 (14.)41 b(Only)24 b(pro)s(cesses)i(mark)m(ed)f(with)f(a)h(`+')f(sign)g
24782 (in)g(the)h(\014rst)g(column)e(ha)m(v)m(e)0 2694 y(b)s(een)29
24783 b(implemen)m(ted)d(in)i(the)g(program)f(to)g(date.)43
24784 b(Although)27 b(ISUB)h(co)s(des)h(w)m(ere)h(originally)24
24785 b(designed)0 2802 y(in)37 b(a)h(logical)e(fashion,)j(w)m(e)g(m)m(ust)f
24786 (admit)f(that)h(subsequen)m(t)j(dev)m(elopmen)m(ts)f(of)e(the)g
24787 (program)f(ha)m(v)m(e)0 2910 y(tended)d(to)e(obscure)i(the)f
24788 (structure.)44 b(F)-8 b(or)32 b(instance,)h(the)g(pro)s(cess)h(n)m(um)m
24789 (b)s(ers)f(for)f(Higgs)g(pro)s(duction)0 3019 y(are)43
24790 b(spread)g(out,)j(in)c(part)g(as)h(a)g(consequence)j(of)c(the)h
24791 (original)d(classi\014cation,)k(in)e(part)g(b)s(ecause)0
24792 3127 y(further)h(pro)s(duction)f(mec)m(hanisms)h(ha)m(v)m(e)h(b)s(een)f
24793 (added)h(one)f(at)f(a)h(time,)h(in)e(whatev)m(er)j(free)e(slots)0
24794 3235 y(could)d(b)s(e)h(found.)69 b(A)m(t)41 b(some)g(future)g(date)g
24795 (the)g(subpro)s(cess)i(list)d(will)e(therefore)k(b)s(e)f(reorganized.)0
24796 3344 y(In)j(the)h(thematic)d(descriptions)i(that)g(follo)m(w)e(the)i
24797 (main)f(tables,)j(the)f(pro)s(cesses)h(of)d(in)m(terest)h(are)0
24798 3452 y(rep)s(eated)f(in)d(a)i(more)f(logical)e(order.)71
24799 b(If)42 b(y)m(ou)g(w)m(an)m(t)h(to)e(lo)s(ok)g(for)g(a)g(sp)s(eci\014c)
24800 i(pro)s(cess,)i(it)c(will)e(b)s(e)0 3560 y(easier)33
24801 b(to)f(\014nd)h(it)e(there.)146 3669 y(In)36 b(the)f(follo)m(wing,)e(f)
24802 913 3684 y Fh(i)977 3669 y Fw(represen)m(ts)k(a)e(fundamen)m(tal)f
24803 (fermion)g(of)g(\015a)m(v)m(our)i Fj(i)p Fw(,)g(i.e.)51
24804 b(d,)36 b(u,)g(s,)g(c,)g(b,)g(t,)0 3777 y(l,)h(h,)h(e)254
24805 3741 y Fk(\000)313 3777 y Fw(,)g Fj(\027)426 3792 y Fl(e)462
24806 3777 y Fw(,)g Fj(\026)586 3741 y Fk(\000)645 3777 y Fw(,)g
24807 Fj(\027)758 3792 y Fh(\026)804 3777 y Fw(,)g Fj(\034)922
24808 3741 y Fk(\000)982 3777 y Fw(,)g Fj(\027)1095 3792 y
24809 Fh(\034)1138 3777 y Fw(,)g Fj(\037)1264 3741 y Fk(\000)1360
24810 3777 y Fw(or)e Fj(\027)1531 3792 y Fh(\037)1579 3777
24811 y Fw(.)56 b(A)37 b(corresp)s(onding)g(an)m(tifermion)d(is)j(denoted)g
24812 (b)m(y)p 3542 3698 37 4 v 38 w(f)3579 3792 y Fh(i)3607
24813 3777 y Fw(.)56 b(In)0 3885 y(sev)m(eral)39 b(cases,)i(some)c(classes)i
24814 (of)f(fermions)f(are)h(explicitly)e(excluded,)k(since)f(they)g(do)f
24815 (not)g(couple)0 3994 y(to)c(the)g(g)h(or)f Fj(\015)39
24816 b Fw(\(no)34 b(e)803 3958 y Fl(+)863 3994 y Fw(e)906
24817 3958 y Fk(\000)995 3994 y Fn(!)c Fw(gg)q(,)35 b(e.g.\).)48
24818 b(When)35 b(pro)s(cesses)h(ha)m(v)m(e)f(only)f(b)s(een)h(included)f
24819 (for)f(quarks,)0 4102 y(while)f(leptons)g(migh)m(t)f(also)g(ha)m(v)m(e)
24820 j(b)s(een)f(p)s(ossible,)f(the)h(notation)e(q)2523 4117
24821 y Fh(i)2584 4102 y Fw(is)h(used.)44 b(A)33 b(lepton)f(is)g(denoted)0
24822 4210 y(b)m(y)41 b Fj(`)p Fw(;)j(in)39 b(a)h(few)g(cases)i(neutrinos)e
24823 (are)g(also)f(lump)s(ed)g(under)i(this)e(heading.)66
24824 b(In)40 b(pro)s(cesses)i(where)0 4319 y(fermion)32 b(masses)i(are)g
24825 (explicitly)d(included)i(in)g(the)h(matrix)e(elemen)m(ts,)i(an)f(F)h
24826 (is)f(used)h(to)f(denote)i(an)0 4427 y(arbitrary)j(fermion)g(and)i(a)f
24827 (Q)g(a)g(quark.)64 b(Fla)m(v)m(ours)40 b(app)s(earing)e(already)h(in)f
24828 (the)i(initial)c(state)j(are)0 4535 y(denoted)34 b(b)m(y)h(indices)e
24829 Fj(i)h Fw(and)f Fj(j)6 b Fw(,)34 b(whereas)h(new)f(\015a)m(v)m(ours)h
24830 (in)e(the)h(\014nal)f(state)h(are)f(denoted)h(b)m(y)h
24831 Fj(k)h Fw(and)0 4644 y Fj(l)r Fw(.)146 4752 y(Charge-conjugate)29
24832 b(c)m(hannels)h(are)e(alw)m(a)m(ys)h(assumed)h(included)e(as)h(w)m(ell)
24833 e(\(where)j(separate\),)g(and)0 4860 y(pro)s(cesses)35
24834 b(in)m(v)m(olving)d(a)h(W)1023 4824 y Fl(+)1115 4860
24835 y Fw(also)g(imply)e(those)j(in)m(v)m(olving)d(a)i(W)2442
24836 4824 y Fk(\000)2502 4860 y Fw(.)45 b(Wherev)m(er)35 b(Z)3076
24837 4824 y Fl(0)3148 4860 y Fw(is)e(written,)g(it)f(is)0
24838 4969 y(understo)s(o)s(d)k(that)f Fj(\015)783 4933 y Fk(\003)859
24839 4969 y Fw(and)g Fj(\015)1107 4933 y Fk(\003)1147 4969
24840 y Fj(=)p Fw(Z)1256 4933 y Fl(0)1330 4969 y Fw(in)m(terference)i(should)
24841 e(b)s(e)h(included)g(as)f(w)m(ell)g(\(with)g(p)s(ossibilities)0
24842 5077 y(to)29 b(switc)m(h)h(o\013)e(either,)i(if)e(so)h(desired\).)43
24843 b(In)30 b(some)f(cases)h(this)f(is)g(not)g(fully)e(implemen)m(ted,)i
24844 (see)h(further)0 5186 y(b)s(elo)m(w.)63 b(Corresp)s(ondingly)-8
24845 b(,)40 b(Z)1153 5149 y Fk(0)p Fl(0)1251 5186 y Fw(denotes)g(the)g
24846 (complete)e(set)i Fj(\015)2418 5149 y Fk(\003)2457 5186
24847 y Fj(=)p Fw(Z)2566 5149 y Fl(0)2605 5186 y Fj(=)p Fw(Z)2714
24848 5149 y Fk(0)p Fl(0)2811 5186 y Fw(\(or)f(some)g(subset)i(of)d(it\).)0
24849 5294 y(Th)m(us)c(the)f(notation)e Fj(\015)38 b Fw(is)32
24850 b(only)g(used)i(for)e(a)g(photon)h(on)f(the)h(mass)g(shell.)146
24851 5402 y(In)48 b(the)g(last)f(column)g(of)g(the)h(tables)f(b)s(elo)m(w,)k
24852 (references)f(are)e(giv)m(en)f(to)h(w)m(orks)h(from)d(whic)m(h)0
24853 5511 y(form)m(ulae)37 b(ha)m(v)m(e)i(b)s(een)g(tak)m(en.)61
24854 b(Sometimes)37 b(these)j(references)g(are)e(to)g(the)h(original)34
24855 b(w)m(orks)40 b(on)e(the)0 5619 y(sub)5 b(ject,)32 b(sometimes)c(only)g
24856 (to)h(the)g(place)g(where)h(the)g(form)m(ulae)d(are)i(giv)m(en)h(in)e
24857 (the)h(most)g(con)m(v)m(enien)m(t)1817 5953 y(112)p eop
24858 %%Page: 113 119
24859 113 118 bop 0 42 a Fw(T)-8 b(able)37 b(11:)52 b(Subpro)s(cess)39
24860 b(co)s(des,)g(part)e(1.)57 b(First)37 b(column)f(is)g(`+')i(for)e(pro)s
24861 (cesses)k(implemen)m(ted)35 b(and)0 151 y(blank)e(for)f(those)i(that)e
24862 (are)h(only)g(foreseen.)45 b(Second)34 b(is)f(the)g(subpro)s(cess)i(n)m
24863 (um)m(b)s(er)e Fq(ISUB)p Fw(,)h(and)f(third)0 259 y(the)41
24864 b(description)g(of)f(the)i(pro)s(cess.)70 b(The)42 b(\014nal)e(column)g
24865 (giv)m(es)h(references)i(from)d(whic)m(h)h(the)h(cross)0
24866 367 y(sections)33 b(ha)m(v)m(e)h(b)s(een)f(obtained.)43
24867 b(See)34 b(text)f(for)f(further)h(information.)p 565
24868 487 2651 4 v 563 607 4 121 v 614 575 a(In)p 752 607 V
24869 100 w(No.)p 1001 607 V 100 w(Subpro)s(cess)p 1833 607
24870 V 364 w(Reference)p 3212 607 V 565 611 2651 4 v 563 731
24871 4 121 v 752 731 V 1001 731 V 1052 699 a(a\))f(2)c Fn(!)f
24872 Fw(1,)32 b(tree)p 1833 731 V 3212 731 V 563 851 V 621
24873 819 a(+)p 752 851 V 207 w(1)p 1001 851 V 99 w(f)1082
24874 834 y Fh(i)p 1110 740 37 4 v 1110 819 a Fw(f)1147 834
24875 y Fh(i)1203 819 y Fn(!)27 b Fj(\015)1386 783 y Fk(\003)1425
24876 819 y Fj(=)p Fw(Z)1534 783 y Fl(0)p 1833 851 4 121 v
24877 1884 819 a Fw([Eic84])p 3212 851 V 563 972 V 621 939
24878 a(+)p 752 972 V 207 w(2)p 1001 972 V 99 w(f)1082 954
24879 y Fh(i)p 1110 860 37 4 v 1110 939 a Fw(f)1147 954 y Fh(j)1211
24880 939 y Fn(!)g Fw(W)1439 903 y Fl(+)p 1833 972 4 121 v
24881 1884 939 a Fw([Eic84])p 3212 972 V 563 1092 V 621 1060
24882 a(+)p 752 1092 V 207 w(3)p 1001 1092 V 99 w(f)1082 1075
24883 y Fh(i)p 1110 981 37 4 v 1110 1060 a Fw(f)1147 1075 y
24884 Fh(i)1203 1060 y Fn(!)g Fw(H)1403 1024 y Fl(0)p 1833
24885 1092 4 121 v 1884 1060 a Fw([Eic84])p 3212 1092 V 563
24886 1213 V 752 1213 V 904 1180 a(4)p 1001 1213 V 99 w Fj(\015)5
24887 b Fw(W)1209 1144 y Fl(+)1296 1180 y Fn(!)28 b Fw(W)1525
24888 1144 y Fl(+)p 1833 1213 V 3212 1213 V 563 1333 V 621
24889 1301 a Fw(+)p 752 1333 V 207 w(5)p 1001 1333 V 99 w(Z)1112
24890 1264 y Fl(0)1151 1301 y Fw(Z)1211 1264 y Fl(0)1278 1301
24891 y Fn(!)f Fw(H)1478 1264 y Fl(0)p 1833 1333 V 1884 1301
24892 a Fw([Eic84,)33 b(Cha85])p 3212 1333 V 563 1453 V 752
24893 1453 V 904 1421 a(6)p 1001 1453 V 99 w(Z)1112 1385 y
24894 Fl(0)1151 1421 y Fw(W)1252 1385 y Fl(+)1339 1421 y Fn(!)28
24895 b Fw(W)1568 1385 y Fl(+)p 1833 1453 V 3212 1453 V 563
24896 1574 V 752 1574 V 904 1541 a Fw(7)p 1001 1574 V 99 w(W)1153
24897 1505 y Fl(+)1213 1541 y Fw(W)1314 1505 y Fk(\000)1401
24898 1541 y Fn(!)f Fw(Z)1588 1505 y Fl(0)p 1833 1574 V 3212
24899 1574 V 563 1694 V 621 1662 a Fw(+)p 752 1694 V 207 w(8)p
24900 1001 1694 V 99 w(W)1153 1626 y Fl(+)1213 1662 y Fw(W)1314
24901 1626 y Fk(\000)1401 1662 y Fn(!)g Fw(H)1601 1626 y Fl(0)p
24902 1833 1694 V 1884 1662 a Fw([Eic84,)33 b(Cha85])p 3212
24903 1694 V 565 1697 2651 4 v 563 1818 4 121 v 752 1818 V
24904 1001 1818 V 1052 1785 a(b\))g(2)27 b Fn(!)g Fw(2,)33
24905 b(tree)p 1833 1818 V 3212 1818 V 563 1938 V 621 1906
24906 a(+)p 752 1938 V 158 w(10)p 1001 1938 V 99 w(f)1082 1921
24907 y Fh(i)1110 1906 y Fw(f)1140 1921 y Fh(j)1204 1906 y
24908 Fn(!)27 b Fw(f)1361 1921 y Fh(i)1389 1906 y Fw(f)1419
24909 1921 y Fh(j)1488 1906 y Fw(\(QFD\))p 1833 1938 V 105
24910 w([Ing87b])p 3212 1938 V 563 2059 V 621 2026 a(+)p 752
24911 2059 V 158 w(11)p 1001 2059 V 99 w(f)1082 2041 y Fh(i)1110
24912 2026 y Fw(f)1140 2041 y Fh(j)1204 2026 y Fn(!)g Fw(f)1361
24913 2041 y Fh(i)1389 2026 y Fw(f)1419 2041 y Fh(j)1488 2026
24914 y Fw(\(QCD\))p 1833 2059 V 99 w([Com77,)32 b(Ben84,)h(Eic84)o(,)g
24915 (Chi90)o(])p 3212 2059 V 563 2179 V 621 2147 a(+)p 752
24916 2179 V 158 w(12)p 1001 2179 V 99 w(f)1082 2162 y Fh(i)p
24917 1110 2067 37 4 v 1110 2147 a Fw(f)1147 2162 y Fh(i)1203
24918 2147 y Fn(!)27 b Fw(f)1360 2162 y Fh(k)p 1402 2067 V
24919 1402 2147 a Fw(f)1439 2162 y Fh(k)p 1833 2179 4 121 v
24920 1884 2147 a Fw([Com77,)32 b(Ben84,)h(Eic84)o(,)g(Chi90)o(])p
24921 3212 2179 V 563 2299 V 621 2267 a(+)p 752 2299 V 158
24922 w(13)p 1001 2299 V 99 w(f)1082 2282 y Fh(i)p 1110 2188
24923 37 4 v 1110 2267 a Fw(f)1147 2282 y Fh(i)1203 2267 y
24924 Fn(!)27 b Fw(gg)p 1833 2299 4 121 v 456 w([Com77,)32
24925 b(Ben84])p 3212 2299 V 563 2420 V 621 2387 a(+)p 752
24926 2420 V 158 w(14)p 1001 2420 V 99 w(f)1082 2402 y Fh(i)p
24927 1110 2308 37 4 v 1110 2387 a Fw(f)1147 2402 y Fh(i)1203
24928 2387 y Fn(!)27 b Fw(g)q Fj(\015)p 1833 2420 4 121 v 453
24929 w Fw([Hal78)o(,)33 b(Ben84])p 3212 2420 V 563 2540 V
24930 621 2508 a(+)p 752 2540 V 158 w(15)p 1001 2540 V 99 w(f)1082
24931 2523 y Fh(i)p 1110 2429 37 4 v 1110 2508 a Fw(f)1147
24932 2523 y Fh(i)1203 2508 y Fn(!)27 b Fw(gZ)1439 2471 y Fl(0)p
24933 1833 2540 4 121 v 1884 2508 a Fw([Eic84])p 3212 2540
24934 V 563 2661 V 621 2628 a(+)p 752 2661 V 158 w(16)p 1001
24935 2661 V 99 w(f)1082 2643 y Fh(i)p 1110 2549 37 4 v 1110
24936 2628 a Fw(f)1147 2643 y Fh(j)1211 2628 y Fn(!)g Fw(gW)1488
24937 2592 y Fl(+)p 1833 2661 4 121 v 1884 2628 a Fw([Eic84])p
24938 3212 2661 V 563 2781 V 752 2781 V 855 2748 a(17)p 1001
24939 2781 V 99 w(f)1082 2763 y Fh(i)p 1110 2669 37 4 v 1110
24940 2748 a Fw(f)1147 2763 y Fh(i)1203 2748 y Fn(!)g Fw(gH)1452
24941 2712 y Fl(0)p 1833 2781 4 121 v 3212 2781 V 563 2901
24942 V 621 2869 a Fw(+)p 752 2901 V 158 w(18)p 1001 2901 V
24943 99 w(f)1082 2884 y Fh(i)p 1110 2790 37 4 v 1110 2869
24944 a Fw(f)1147 2884 y Fh(i)1203 2869 y Fn(!)g Fj(\015)5
24945 b(\015)p 1833 2901 4 121 v 447 w Fw([Ber84)q(])p 3212
24946 2901 V 563 3022 V 621 2989 a(+)p 752 3022 V 158 w(19)p
24947 1001 3022 V 99 w(f)1082 3004 y Fh(i)p 1110 2910 37 4
24948 v 1110 2989 a Fw(f)1147 3004 y Fh(i)1203 2989 y Fn(!)27
24949 b Fj(\015)5 b Fw(Z)1446 2953 y Fl(0)p 1833 3022 4 121
24950 v 1884 2989 a Fw([Eic84])p 3212 3022 V 563 3142 V 621
24951 3110 a(+)p 752 3142 V 158 w(20)p 1001 3142 V 99 w(f)1082
24952 3125 y Fh(i)p 1110 3030 37 4 v 1110 3110 a Fw(f)1147
24953 3125 y Fh(j)1211 3110 y Fn(!)27 b Fj(\015)5 b Fw(W)1495
24954 3073 y Fl(+)p 1833 3142 4 121 v 1884 3110 a Fw([Eic84,)33
24955 b(Sam91)n(])p 3212 3142 V 563 3262 V 752 3262 V 855 3230
24956 a(21)p 1001 3262 V 99 w(f)1082 3245 y Fh(i)p 1110 3151
24957 37 4 v 1110 3230 a Fw(f)1147 3245 y Fh(i)1203 3230 y
24958 Fn(!)27 b Fj(\015)5 b Fw(H)1459 3194 y Fl(0)p 1833 3262
24959 4 121 v 3212 3262 V 563 3383 V 621 3350 a Fw(+)p 752
24960 3383 V 158 w(22)p 1001 3383 V 99 w(f)1082 3365 y Fh(i)p
24961 1110 3271 37 4 v 1110 3350 a Fw(f)1147 3365 y Fh(i)1203
24962 3350 y Fn(!)27 b Fw(Z)1390 3314 y Fl(0)1429 3350 y Fw(Z)1489
24963 3314 y Fl(0)p 1833 3383 4 121 v 1884 3350 a Fw([Eic84,)33
24964 b(Gun86)o(])p 3212 3383 V 563 3503 V 621 3471 a(+)p 752
24965 3503 V 158 w(23)p 1001 3503 V 99 w(f)1082 3486 y Fh(i)p
24966 1110 3392 37 4 v 1110 3471 a Fw(f)1147 3486 y Fh(j)1211
24967 3471 y Fn(!)27 b Fw(Z)1398 3435 y Fl(0)1437 3471 y Fw(W)1538
24968 3435 y Fl(+)p 1833 3503 4 121 v 1884 3471 a Fw([Eic84,)33
24969 b(Gun86)o(])p 3212 3503 V 563 3624 V 621 3591 a(+)p 752
24970 3624 V 158 w(24)p 1001 3624 V 99 w(f)1082 3606 y Fh(i)p
24971 1110 3512 37 4 v 1110 3591 a Fw(f)1147 3606 y Fh(i)1203
24972 3591 y Fn(!)27 b Fw(Z)1390 3555 y Fl(0)1429 3591 y Fw(H)1502
24973 3555 y Fl(0)p 1833 3624 4 121 v 1884 3591 a Fw([Ber85)q(])p
24974 3212 3624 V 563 3744 V 621 3711 a(+)p 752 3744 V 158
24975 w(25)p 1001 3744 V 99 w(f)1082 3726 y Fh(i)p 1110 3632
24976 37 4 v 1110 3711 a Fw(f)1147 3726 y Fh(i)1203 3711 y
24977 Fn(!)g Fw(W)1431 3675 y Fl(+)1491 3711 y Fw(W)1592 3675
24978 y Fk(\000)p 1833 3744 4 121 v 1884 3711 a Fw([Bar94,)33
24979 b(Gun86)o(])p 3212 3744 V 563 3864 V 621 3832 a(+)p 752
24980 3864 V 158 w(26)p 1001 3864 V 99 w(f)1082 3847 y Fh(i)p
24981 1110 3753 37 4 v 1110 3832 a Fw(f)1147 3847 y Fh(j)1211
24982 3832 y Fn(!)27 b Fw(W)1439 3796 y Fl(+)1499 3832 y Fw(H)1572
24983 3796 y Fl(0)p 1833 3864 4 121 v 1884 3832 a Fw([Eic84])p
24984 3212 3864 V 563 3985 V 752 3985 V 855 3952 a(27)p 1001
24985 3985 V 99 w(f)1082 3967 y Fh(i)p 1110 3873 37 4 v 1110
24986 3952 a Fw(f)1147 3967 y Fh(i)1203 3952 y Fn(!)g Fw(H)1403
24987 3916 y Fl(0)1443 3952 y Fw(H)1516 3916 y Fl(0)p 1833
24988 3985 4 121 v 3212 3985 V 563 4105 V 621 4073 a Fw(+)p
24989 752 4105 V 158 w(28)p 1001 4105 V 99 w(f)1082 4088 y
24990 Fh(i)1110 4073 y Fw(g)i Fn(!)e Fw(f)1345 4088 y Fh(i)1373
24991 4073 y Fw(g)p 1833 4105 V 462 w([Com77,)32 b(Ben84])p
24992 3212 4105 V 563 4225 V 621 4193 a(+)p 752 4225 V 158
24993 w(29)p 1001 4225 V 99 w(f)1082 4208 y Fh(i)1110 4193
24994 y Fw(g)d Fn(!)e Fw(f)1345 4208 y Fh(i)1373 4193 y Fj(\015)p
24995 1833 4225 V 460 w Fw([Hal78)o(,)33 b(Ben84])p 3212 4225
24996 V 563 4346 V 621 4313 a(+)p 752 4346 V 158 w(30)p 1001
24997 4346 V 99 w(f)1082 4328 y Fh(i)1110 4313 y Fw(g)c Fn(!)e
24998 Fw(f)1345 4328 y Fh(i)1373 4313 y Fw(Z)1433 4277 y Fl(0)p
24999 1833 4346 V 1884 4313 a Fw([Eic84])p 3212 4346 V 563
25000 4466 V 621 4434 a(+)p 752 4466 V 158 w(31)p 1001 4466
25001 V 99 w(f)1082 4449 y Fh(i)1110 4434 y Fw(g)i Fn(!)e Fw(f)1345
25002 4449 y Fh(k)1388 4434 y Fw(W)1489 4398 y Fl(+)p 1833
25003 4466 V 1884 4434 a Fw([Eic84])p 3212 4466 V 563 4587
25004 V 752 4587 V 855 4554 a(32)p 1001 4587 V 99 w(f)1082
25005 4569 y Fh(i)1110 4554 y Fw(g)i Fn(!)e Fw(f)1345 4569
25006 y Fh(i)1373 4554 y Fw(H)1446 4518 y Fl(0)p 1833 4587
25007 V 3212 4587 V 563 4707 V 621 4675 a Fw(+)p 752 4707 V
25008 158 w(33)p 1001 4707 V 99 w(f)1082 4690 y Fh(i)1110 4675
25009 y Fj(\015)33 b Fn(!)27 b Fw(f)1351 4690 y Fh(i)1379 4675
25010 y Fw(g)p 1833 4707 V 456 w([Duk82])p 3212 4707 V 563
25011 4827 V 621 4795 a(+)p 752 4827 V 158 w(34)p 1001 4827
25012 V 99 w(f)1082 4810 y Fh(i)1110 4795 y Fj(\015)33 b Fn(!)27
25013 b Fw(f)1351 4810 y Fh(i)1379 4795 y Fj(\015)p 1833 4827
25014 V 454 w Fw([Duk82])p 3212 4827 V 563 4948 V 621 4915
25015 a(+)p 752 4948 V 158 w(35)p 1001 4948 V 99 w(f)1082 4930
25016 y Fh(i)1110 4915 y Fj(\015)33 b Fn(!)27 b Fw(f)1351 4930
25017 y Fh(i)1379 4915 y Fw(Z)1439 4879 y Fl(0)p 1833 4948
25018 V 1884 4915 a Fw([Gab86])p 3212 4948 V 563 5068 V 621
25019 5036 a(+)p 752 5068 V 158 w(36)p 1001 5068 V 99 w(f)1082
25020 5051 y Fh(i)1110 5036 y Fj(\015)33 b Fn(!)27 b Fw(f)1351
25021 5051 y Fh(k)1394 5036 y Fw(W)1495 5000 y Fl(+)p 1833
25022 5068 V 1884 5036 a Fw([Gab86])p 3212 5068 V 563 5189
25023 V 752 5189 V 855 5156 a(37)p 1001 5189 V 99 w(f)1082
25024 5171 y Fh(i)1110 5156 y Fj(\015)33 b Fn(!)27 b Fw(f)1351
25025 5171 y Fh(i)1379 5156 y Fw(H)1452 5120 y Fl(0)p 1833
25026 5189 V 3212 5189 V 563 5309 V 752 5309 V 855 5276 a Fw(38)p
25027 1001 5309 V 99 w(f)1082 5291 y Fh(i)1110 5276 y Fw(Z)1170
25028 5240 y Fl(0)1237 5276 y Fn(!)g Fw(f)1394 5291 y Fh(i)1422
25029 5276 y Fw(g)p 1833 5309 V 3212 5309 V 563 5429 V 752
25030 5429 V 855 5397 a(39)p 1001 5429 V 99 w(f)1082 5412 y
25031 Fh(i)1110 5397 y Fw(Z)1170 5361 y Fl(0)1237 5397 y Fn(!)g
25032 Fw(f)1394 5412 y Fh(i)1422 5397 y Fj(\015)p 1833 5429
25033 V 3212 5429 V 563 5550 V 752 5550 V 855 5517 a Fw(40)p
25034 1001 5550 V 99 w(f)1082 5532 y Fh(i)1110 5517 y Fw(Z)1170
25035 5481 y Fl(0)1237 5517 y Fn(!)g Fw(f)1394 5532 y Fh(i)1422
25036 5517 y Fw(Z)1482 5481 y Fl(0)p 1833 5550 V 3212 5550
25037 V 565 5553 2651 4 v 1817 5953 a Fw(113)p eop
25038 %%Page: 114 120
25039 114 119 bop 0 44 a Fw(T)-8 b(able)37 b(12:)52 b(Subpro)s(cess)39
25040 b(co)s(des,)g(part)e(2.)57 b(First)37 b(column)f(is)g(`+')i(for)e(pro)s
25041 (cesses)k(implemen)m(ted)35 b(and)0 152 y(blank)e(for)f(those)i(that)e
25042 (are)h(only)g(foreseen.)45 b(Second)34 b(is)f(the)g(subpro)s(cess)i(n)m
25043 (um)m(b)s(er)e Fq(ISUB)p Fw(,)h(and)f(third)0 261 y(the)41
25044 b(description)g(of)f(the)i(pro)s(cess.)70 b(The)42 b(\014nal)e(column)g
25045 (giv)m(es)h(references)i(from)d(whic)m(h)h(the)h(cross)0
25046 369 y(sections)33 b(ha)m(v)m(e)h(b)s(een)f(obtained.)43
25047 b(See)34 b(text)f(for)f(further)h(information.)p 515
25048 489 2751 4 v 513 609 4 121 v 564 577 a(In)p 702 609 V
25049 101 w(No.)p 951 609 V 99 w(Subpro)s(cess)p 2466 609 V
25050 1047 w(Reference)p 3262 609 V 515 612 2751 4 v 513 733
25051 4 121 v 702 733 V 951 733 V 1002 700 a(b\))g(2)27 b Fn(!)h
25052 Fw(2,)k(tree)h(\(con)m(t'd\))p 2466 733 V 3262 733 V
25053 513 853 V 702 853 V 805 821 a(41)p 951 853 V 99 w(f)1032
25054 836 y Fh(i)1060 821 y Fw(Z)1120 784 y Fl(0)1187 821 y
25055 Fn(!)27 b Fw(f)1344 836 y Fh(k)1387 821 y Fw(W)1488 784
25056 y Fl(+)p 2466 853 V 3262 853 V 513 974 V 702 974 V 805
25057 941 a Fw(42)p 951 974 V 99 w(f)1032 956 y Fh(i)1060 941
25058 y Fw(Z)1120 905 y Fl(0)1187 941 y Fn(!)g Fw(f)1344 956
25059 y Fh(i)1372 941 y Fw(H)1445 905 y Fl(0)p 2466 974 V 3262
25060 974 V 513 1094 V 702 1094 V 805 1061 a Fw(43)p 951 1094
25061 V 99 w(f)1032 1076 y Fh(i)1060 1061 y Fw(W)1161 1025
25062 y Fl(+)1248 1061 y Fn(!)h Fw(f)1406 1076 y Fh(k)1448
25063 1061 y Fw(g)p 2466 1094 V 3262 1094 V 513 1214 V 702
25064 1214 V 805 1182 a(44)p 951 1214 V 99 w(f)1032 1197 y
25065 Fh(i)1060 1182 y Fw(W)1161 1146 y Fl(+)1248 1182 y Fn(!)g
25066 Fw(f)1406 1197 y Fh(k)1448 1182 y Fj(\015)p 2466 1214
25067 V 3262 1214 V 513 1335 V 702 1335 V 805 1302 a Fw(45)p
25068 951 1335 V 99 w(f)1032 1317 y Fh(i)1060 1302 y Fw(W)1161
25069 1266 y Fl(+)1248 1302 y Fn(!)g Fw(f)1406 1317 y Fh(k)1448
25070 1302 y Fw(Z)1508 1266 y Fl(0)p 2466 1335 V 3262 1335
25071 V 513 1455 V 702 1455 V 805 1423 a Fw(46)p 951 1455 V
25072 99 w(f)1032 1438 y Fh(i)1060 1423 y Fw(W)1161 1386 y
25073 Fl(+)1248 1423 y Fn(!)g Fw(f)1406 1438 y Fh(k)1448 1423
25074 y Fw(W)1549 1386 y Fl(+)p 2466 1455 V 3262 1455 V 513
25075 1575 V 702 1575 V 805 1543 a Fw(47)p 951 1575 V 99 w(f)1032
25076 1558 y Fh(i)1060 1543 y Fw(W)1161 1507 y Fl(+)1248 1543
25077 y Fn(!)g Fw(f)1406 1558 y Fh(k)1448 1543 y Fw(H)1521
25078 1507 y Fl(0)p 2466 1575 V 3262 1575 V 513 1696 V 702
25079 1696 V 805 1663 a Fw(48)p 951 1696 V 99 w(f)1032 1678
25080 y Fh(i)1060 1663 y Fw(H)1133 1627 y Fl(0)1200 1663 y
25081 Fn(!)g Fw(f)1358 1678 y Fh(i)1386 1663 y Fw(g)p 2466
25082 1696 V 3262 1696 V 513 1816 V 702 1816 V 805 1784 a(49)p
25083 951 1816 V 99 w(f)1032 1799 y Fh(i)1060 1784 y Fw(H)1133
25084 1748 y Fl(0)1200 1784 y Fn(!)g Fw(f)1358 1799 y Fh(i)1386
25085 1784 y Fj(\015)p 2466 1816 V 3262 1816 V 513 1937 V 702
25086 1937 V 805 1904 a Fw(50)p 951 1937 V 99 w(f)1032 1919
25087 y Fh(i)1060 1904 y Fw(H)1133 1868 y Fl(0)1200 1904 y
25088 Fn(!)g Fw(f)1358 1919 y Fh(i)1386 1904 y Fw(Z)1446 1868
25089 y Fl(0)p 2466 1937 V 3262 1937 V 513 2057 V 702 2057
25090 V 805 2024 a Fw(51)p 951 2057 V 99 w(f)1032 2039 y Fh(i)1060
25091 2024 y Fw(H)1133 1988 y Fl(0)1200 2024 y Fn(!)g Fw(f)1358
25092 2039 y Fh(k)1400 2024 y Fw(W)1501 1988 y Fl(+)p 2466
25093 2057 V 3262 2057 V 513 2177 V 702 2177 V 805 2145 a Fw(52)p
25094 951 2177 V 99 w(f)1032 2160 y Fh(i)1060 2145 y Fw(H)1133
25095 2109 y Fl(0)1200 2145 y Fn(!)g Fw(f)1358 2160 y Fh(i)1386
25096 2145 y Fw(H)1459 2109 y Fl(0)p 2466 2177 V 3262 2177
25097 V 513 2298 V 571 2265 a Fw(+)p 702 2298 V 158 w(53)p
25098 951 2298 V 99 w(gg)h Fn(!)e Fw(f)1286 2280 y Fh(k)p 1328
25099 2186 37 4 v 1328 2265 a Fw(f)1365 2280 y Fh(k)p 2466
25100 2298 4 121 v 2517 2265 a Fw([Com77)o(,)33 b(Ben84])p
25101 3262 2298 V 513 2418 V 571 2386 a(+)p 702 2418 V 158
25102 w(54)p 951 2418 V 99 w(g)q Fj(\015)g Fn(!)27 b Fw(f)1293
25103 2401 y Fh(k)p 1336 2306 37 4 v 1336 2386 a Fw(f)1372
25104 2401 y Fh(k)p 2466 2418 4 121 v 2517 2386 a Fw([Duk82])p
25105 3262 2418 V 513 2538 V 702 2538 V 805 2506 a(55)p 951
25106 2538 V 99 w(gZ)1111 2470 y Fl(0)1178 2506 y Fn(!)g Fw(f)1335
25107 2521 y Fh(k)p 1377 2427 37 4 v 1377 2506 a Fw(f)1414
25108 2521 y Fh(k)p 2466 2538 4 121 v 3262 2538 V 513 2659
25109 V 702 2659 V 805 2626 a Fw(56)p 951 2659 V 99 w(gW)1152
25110 2590 y Fl(+)1239 2626 y Fn(!)g Fw(f)1396 2641 y Fh(k)p
25111 1439 2547 37 4 v 1439 2626 a Fw(f)1476 2641 y Fh(l)p
25112 2466 2659 4 121 v 3262 2659 V 513 2779 V 702 2779 V 805
25113 2747 a Fw(57)p 951 2779 V 99 w(gH)1124 2711 y Fl(0)1191
25114 2747 y Fn(!)g Fw(f)1348 2762 y Fh(k)p 1391 2668 37 4
25115 v 1391 2747 a Fw(f)1428 2762 y Fh(l)p 2466 2779 4 121
25116 v 3262 2779 V 513 2900 V 571 2867 a Fw(+)p 702 2900 V
25117 158 w(58)p 951 2900 V 99 w Fj(\015)5 b(\015)33 b Fn(!)27
25118 b Fw(f)1299 2882 y Fh(k)p 1342 2788 37 4 v 1342 2867
25119 a Fw(f)1378 2882 y Fh(k)p 2466 2900 4 121 v 2517 2867
25120 a Fw([Bar90)o(])p 3262 2900 V 513 3020 V 702 3020 V 805
25121 2988 a(59)p 951 3020 V 99 w Fj(\015)5 b Fw(Z)1118 2951
25122 y Fl(0)1185 2988 y Fn(!)27 b Fw(f)1342 3003 y Fh(k)p
25123 1385 2908 37 4 v 1385 2988 a Fw(f)1421 3003 y Fh(k)p
25124 2466 3020 4 121 v 3262 3020 V 513 3140 V 702 3140 V 805
25125 3108 a Fw(60)p 951 3140 V 99 w Fj(\015)5 b Fw(W)1159
25126 3072 y Fl(+)1246 3108 y Fn(!)28 b Fw(f)1404 3123 y Fh(k)p
25127 1446 3029 37 4 v 1446 3108 a Fw(f)1483 3123 y Fh(l)p
25128 2466 3140 4 121 v 3262 3140 V 513 3261 V 702 3261 V 805
25129 3228 a Fw(61)p 951 3261 V 99 w Fj(\015)5 b Fw(H)1131
25130 3192 y Fl(0)1198 3228 y Fn(!)28 b Fw(f)1356 3243 y Fh(k)p
25131 1398 3149 37 4 v 1398 3228 a Fw(f)1435 3243 y Fh(k)p
25132 2466 3261 4 121 v 3262 3261 V 513 3381 V 702 3381 V 805
25133 3349 a Fw(62)p 951 3381 V 99 w(Z)1062 3313 y Fl(0)1101
25134 3349 y Fw(Z)1161 3313 y Fl(0)1228 3349 y Fn(!)f Fw(f)1385
25135 3364 y Fh(k)p 1428 3270 37 4 v 1428 3349 a Fw(f)1464
25136 3364 y Fh(k)p 2466 3381 4 121 v 3262 3381 V 513 3502
25137 V 702 3502 V 805 3469 a Fw(63)p 951 3502 V 99 w(Z)1062
25138 3433 y Fl(0)1101 3469 y Fw(W)1202 3433 y Fl(+)1289 3469
25139 y Fn(!)h Fw(f)1447 3484 y Fh(k)p 1489 3390 37 4 v 1489
25140 3469 a Fw(f)1526 3484 y Fh(l)p 2466 3502 4 121 v 3262
25141 3502 V 513 3622 V 702 3622 V 805 3589 a Fw(64)p 951 3622
25142 V 99 w(Z)1062 3553 y Fl(0)1101 3589 y Fw(H)1174 3553
25143 y Fl(0)1241 3589 y Fn(!)g Fw(f)1399 3604 y Fh(k)p 1441
25144 3510 37 4 v 1441 3589 a Fw(f)1478 3604 y Fh(k)p 2466
25145 3622 4 121 v 3262 3622 V 513 3742 V 702 3742 V 805 3710
25146 a Fw(65)p 951 3742 V 99 w(W)1103 3674 y Fl(+)1163 3710
25147 y Fw(W)1264 3674 y Fk(\000)1351 3710 y Fn(!)f Fw(f)1508
25148 3725 y Fh(k)p 1551 3631 37 4 v 1551 3710 a Fw(f)1588
25149 3725 y Fh(k)p 2466 3742 4 121 v 3262 3742 V 513 3863
25150 V 702 3863 V 805 3830 a Fw(66)p 951 3863 V 99 w(W)1103
25151 3794 y Fl(+)1163 3830 y Fw(H)1236 3794 y Fl(0)1303 3830
25152 y Fn(!)g Fw(f)1460 3845 y Fh(k)p 1503 3751 37 4 v 1503
25153 3830 a Fw(f)1540 3845 y Fh(l)p 2466 3863 4 121 v 3262
25154 3863 V 513 3983 V 702 3983 V 805 3951 a Fw(67)p 951 3983
25155 V 99 w(H)1075 3914 y Fl(0)1115 3951 y Fw(H)1188 3914
25156 y Fl(0)1255 3951 y Fn(!)g Fw(f)1412 3966 y Fh(k)p 1455
25157 3871 37 4 v 1455 3951 a Fw(f)1491 3966 y Fh(k)p 2466
25158 3983 4 121 v 3262 3983 V 513 4103 V 571 4071 a Fw(+)p
25159 702 4103 V 158 w(68)p 951 4103 V 99 w(gg)i Fn(!)e Fw(gg)p
25160 2466 4103 V 1163 w([Com77)o(,)33 b(Ben84])p 3262 4103
25161 V 513 4224 V 571 4191 a(+)p 702 4224 V 158 w(69)p 951
25162 4224 V 99 w Fj(\015)5 b(\015)33 b Fn(!)27 b Fw(W)1370
25163 4155 y Fl(+)1430 4191 y Fw(W)1531 4155 y Fk(\000)p 2466
25164 4224 V 2517 4191 a Fw([Kat83)o(])p 3262 4224 V 513 4344
25165 V 571 4312 a(+)p 702 4344 V 158 w(70)p 951 4344 V 99
25166 w Fj(\015)5 b Fw(W)1159 4276 y Fl(+)1246 4312 y Fn(!)28
25167 b Fw(Z)1434 4276 y Fl(0)1473 4312 y Fw(W)1574 4276 y
25168 Fl(+)p 2466 4344 V 2517 4312 a Fw([Kun87])p 3262 4344
25169 V 513 4465 V 571 4432 a(+)p 702 4465 V 158 w(71)p 951
25170 4465 V 99 w(Z)1062 4396 y Fl(0)1101 4432 y Fw(Z)1161
25171 4396 y Fl(0)1228 4432 y Fn(!)f Fw(Z)1415 4396 y Fl(0)1454
25172 4432 y Fw(Z)1514 4396 y Fl(0)1586 4432 y Fw(\(longitudinal\))p
25173 2466 4465 V 342 w([Abb87])p 3262 4465 V 513 4585 V 571
25174 4552 a(+)p 702 4585 V 158 w(72)p 951 4585 V 99 w(Z)1062
25175 4516 y Fl(0)1101 4552 y Fw(Z)1161 4516 y Fl(0)1228 4552
25176 y Fn(!)g Fw(W)1456 4516 y Fl(+)1516 4552 y Fw(W)1617
25177 4516 y Fk(\000)1709 4552 y Fw(\(longitudinal\))p 2466
25178 4585 V 219 w([Abb87])p 3262 4585 V 513 4705 V 571 4673
25179 a(+)p 702 4705 V 158 w(73)p 951 4705 V 99 w(Z)1062 4637
25180 y Fl(0)1101 4673 y Fw(W)1202 4637 y Fl(+)1289 4673 y
25181 Fn(!)h Fw(Z)1477 4637 y Fl(0)1516 4673 y Fw(W)1617 4637
25182 y Fl(+)1709 4673 y Fw(\(longitudinal\))p 2466 4705 V
25183 219 w([Dob91)o(])p 3262 4705 V 513 4826 V 702 4826 V
25184 805 4793 a(74)p 951 4826 V 99 w(Z)1062 4757 y Fl(0)1101
25185 4793 y Fw(H)1174 4757 y Fl(0)1241 4793 y Fn(!)g Fw(Z)1429
25186 4757 y Fl(0)1468 4793 y Fw(H)1541 4757 y Fl(0)p 2466
25187 4826 V 3262 4826 V 513 4946 V 702 4946 V 805 4914 a Fw(75)p
25188 951 4946 V 99 w(W)1103 4877 y Fl(+)1163 4914 y Fw(W)1264
25189 4877 y Fk(\000)1351 4914 y Fn(!)f Fj(\015)5 b(\015)p
25190 2466 4946 V 3262 4946 V 513 5067 V 571 5034 a Fw(+)p
25191 702 5067 V 158 w(76)p 951 5067 V 99 w(W)1103 4998 y Fl(+)1163
25192 5034 y Fw(W)1264 4998 y Fk(\000)1351 5034 y Fn(!)27 b
25193 Fw(Z)1538 4998 y Fl(0)1577 5034 y Fw(Z)1637 4998 y Fl(0)1709
25194 5034 y Fw(\(longitudinal\))p 2466 5067 V 219 w([Ben87b])p
25195 3262 5067 V 513 5187 V 571 5154 a(+)p 702 5187 V 158
25196 w(77)p 951 5187 V 99 w(W)1103 5118 y Fl(+)1163 5154 y
25197 Fw(W)1264 5118 y Fk(\006)1351 5154 y Fn(!)g Fw(W)1579
25198 5118 y Fl(+)1639 5154 y Fw(W)1740 5118 y Fk(\006)1832
25199 5154 y Fw(\(longitudinal\))p 2466 5187 V 96 w([Dun86,)32
25200 b(Bar90a)o(])p 3262 5187 V 513 5307 V 702 5307 V 805
25201 5275 a(78)p 951 5307 V 99 w(W)1103 5239 y Fl(+)1163 5275
25202 y Fw(H)1236 5239 y Fl(0)1303 5275 y Fn(!)27 b Fw(W)1531
25203 5239 y Fl(+)1591 5275 y Fw(H)1664 5239 y Fl(0)p 2466
25204 5307 V 3262 5307 V 513 5428 V 702 5428 V 805 5395 a Fw(79)p
25205 951 5428 V 99 w(H)1075 5359 y Fl(0)1115 5395 y Fw(H)1188
25206 5359 y Fl(0)1255 5395 y Fn(!)g Fw(H)1455 5359 y Fl(0)1495
25207 5395 y Fw(H)1568 5359 y Fl(0)p 2466 5428 V 3262 5428
25208 V 513 5548 V 571 5516 a Fw(+)p 702 5548 V 158 w(80)p
25209 951 5548 V 99 w(q)1053 5531 y Fh(i)1082 5516 y Fj(\015)32
25210 b Fn(!)c Fw(q)1344 5531 y Fh(k)1387 5516 y Fj(\031)1446
25211 5479 y Fk(\006)p 2466 5548 V 2517 5516 a Fw([Bag82)o(])p
25212 3262 5548 V 515 5551 2751 4 v 1817 5953 a(114)p eop
25213 %%Page: 115 121
25214 115 120 bop 0 98 a Fw(T)-8 b(able)37 b(13:)52 b(Subpro)s(cess)39
25215 b(co)s(des,)g(part)e(3.)57 b(First)37 b(column)f(is)g(`+')i(for)e(pro)s
25216 (cesses)k(implemen)m(ted)35 b(and)0 206 y(blank)e(for)f(those)i(that)e
25217 (are)h(only)g(foreseen.)45 b(Second)34 b(is)f(the)g(subpro)s(cess)i(n)m
25218 (um)m(b)s(er)e Fq(ISUB)p Fw(,)h(and)f(third)0 314 y(the)41
25219 b(description)g(of)f(the)i(pro)s(cess.)70 b(The)42 b(\014nal)e(column)g
25220 (giv)m(es)h(references)i(from)d(whic)m(h)h(the)h(cross)0
25221 423 y(sections)33 b(ha)m(v)m(e)h(b)s(een)f(obtained.)43
25222 b(See)34 b(text)f(for)f(further)h(information.)p 350
25223 542 3080 4 v 348 663 4 121 v 400 630 a(In)p 537 663 V
25224 100 w(No.)p 786 663 V 100 w(Subpro)s(cess)p 2392 663
25225 V 1137 w(Reference)p 3426 663 V 350 666 3080 4 v 348
25226 786 4 121 v 537 786 V 786 786 V 838 754 a(c\))f(2)c Fn(!)f
25227 Fw(2,)32 b(tree,)i(massiv)m(e)e(\014nal)g(quarks)p 2392
25228 786 V 3426 786 V 348 907 V 407 874 a(+)p 537 907 V 157
25229 w(81)p 786 907 V 100 w(f)868 889 y Fh(i)p 895 795 37
25230 4 v 895 874 a Fw(f)932 889 y Fh(i)988 874 y Fn(!)27 b
25231 Fw(Q)1191 889 y Fh(k)p 1234 796 76 4 v 1234 874 a Fw(Q)1310
25232 898 y Fh(k)p 2392 907 4 121 v 2443 874 a Fw([Com79)o(])p
25233 3426 907 V 348 1027 V 407 995 a(+)p 537 1027 V 157 w(82)p
25234 786 1027 V 100 w(gg)h Fn(!)f Fw(Q)1167 1010 y Fh(k)p
25235 1210 917 76 4 v 1210 995 a Fw(Q)1286 1018 y Fh(k)p 2392
25236 1027 4 121 v 2443 995 a Fw([Com79)o(])p 3426 1027 V 348
25237 1147 V 407 1115 a(+)p 537 1147 V 157 w(83)p 786 1147
25238 V 100 w(q)889 1130 y Fh(i)917 1115 y Fw(f)947 1130 y
25239 Fh(j)1011 1115 y Fn(!)g Fw(Q)1214 1130 y Fh(k)1257 1115
25240 y Fw(f)1287 1130 y Fh(l)p 2392 1147 V 2443 1115 a Fw([Dic86)o(])p
25241 3426 1147 V 348 1268 V 407 1235 a(+)p 537 1268 V 157
25242 w(84)p 786 1268 V 100 w(g)q Fj(\015)32 b Fn(!)c Fw(Q)1175
25243 1250 y Fh(k)p 1217 1157 76 4 v 1217 1235 a Fw(Q)1293
25244 1259 y Fh(k)p 2392 1268 4 121 v 2443 1235 a Fw([F)-8
25245 b(on81)o(])p 3426 1268 V 348 1388 V 407 1356 a(+)p 537
25246 1388 V 157 w(85)p 786 1388 V 100 w Fj(\015)5 b(\015)32
25247 b Fn(!)c Fw(F)1169 1371 y Fh(k)p 1211 1278 64 4 v 1211
25248 1356 a Fw(F)1275 1371 y Fh(k)p 2392 1388 4 121 v 2443
25249 1356 a Fw([Bar90])p 3426 1388 V 348 1509 V 407 1476 a(+)p
25250 537 1509 V 157 w(86)p 786 1509 V 100 w(gg)g Fn(!)f Fw(J)p
25251 Fj(= )t Fw(g)p 2392 1509 V 1137 w([Bai83)o(])p 3426 1509
25252 V 348 1629 V 407 1596 a(+)p 537 1629 V 157 w(87)p 786
25253 1629 V 100 w(gg)h Fn(!)f Fj(\037)1152 1611 y Fl(0c)1223
25254 1596 y Fw(g)p 2392 1629 V 1171 w([Gas87])p 3426 1629
25255 V 348 1749 V 407 1717 a(+)p 537 1749 V 157 w(88)p 786
25256 1749 V 100 w(gg)h Fn(!)f Fj(\037)1152 1732 y Fl(1c)1223
25257 1717 y Fw(g)p 2392 1749 V 1171 w([Gas87])p 3426 1749
25258 V 348 1870 V 407 1837 a(+)p 537 1870 V 157 w(89)p 786
25259 1870 V 100 w(gg)h Fn(!)f Fj(\037)1152 1852 y Fl(2c)1223
25260 1837 y Fw(g)p 2392 1870 V 1171 w([Gas87])p 3426 1870
25261 V 348 1990 V 407 1958 a(+)p 537 1990 V 109 w(106)p 786
25262 1990 V 99 w(gg)h Fn(!)f Fw(J)p Fj(= )t(\015)p 2392 1990
25263 V 1135 w Fw([Dre91])p 3426 1990 V 348 2111 V 407 2078
25264 a(+)p 537 2111 V 109 w(107)p 786 2111 V 99 w(g)q Fj(\015)32
25265 b Fn(!)c Fw(J)p Fj(= )t Fw(g)p 2392 2111 V 1129 w([Ber81])p
25266 3426 2111 V 348 2231 V 407 2198 a(+)p 537 2231 V 109
25267 w(108)p 786 2231 V 99 w Fj(\015)5 b(\015)32 b Fn(!)c
25268 Fw(J)p Fj(= )t(\015)p 2392 2231 V 1121 w Fw([Jun97])p
25269 3426 2231 V 350 2234 3080 4 v 348 2355 4 121 v 537 2355
25270 V 786 2355 V 838 2322 a(d\))k(`minim)m(um)e(bias')p 2392
25271 2355 V 3426 2355 V 348 2475 V 407 2442 a(+)p 537 2475
25272 V 157 w(91)p 786 2475 V 100 w(elastic)h(scattering)p
25273 2392 2475 V 889 w([Sc)m(h94)q(])p 3426 2475 V 348 2595
25274 V 407 2563 a(+)p 537 2595 V 157 w(92)p 786 2595 V 100
25275 w(single)g(di\013raction)g(\()p Fj(AB)i Fn(!)27 b Fj(X)8
25276 b(B)d Fw(\))p 2392 2595 V 314 w([Sc)m(h94)q(])p 3426
25277 2595 V 348 2716 V 407 2683 a(+)p 537 2716 V 157 w(93)p
25278 786 2716 V 100 w(single)31 b(di\013raction)g(\()p Fj(AB)i
25279 Fn(!)27 b Fj(AX)8 b Fw(\))p 2392 2716 V 320 w([Sc)m(h94)q(])p
25280 3426 2716 V 348 2836 V 407 2804 a(+)p 537 2836 V 157
25281 w(94)p 786 2836 V 100 w(double)32 b(di\013raction)p 2392
25282 2836 V 853 w([Sc)m(h94)q(])p 3426 2836 V 348 2957 V 407
25283 2924 a(+)p 537 2957 V 157 w(95)p 786 2957 V 100 w(lo)m(w-)p
25284 Fj(p)1064 2939 y Fk(?)1154 2924 y Fw(pro)s(duction)p
25285 2392 2957 V 825 w([Sj\177)-49 b(o87])p 3426 2957 V 350
25286 2960 3080 4 v 348 3080 4 121 v 537 3080 V 786 3080 V
25287 838 3048 a(e\))32 b(2)c Fn(!)f Fw(1,)32 b(lo)s(op)p 2392
25288 3080 V 3426 3080 V 348 3201 V 537 3201 V 592 3168 a(101)p
25289 786 3201 V 99 w(gg)c Fn(!)f Fw(Z)1151 3132 y Fl(0)p 2392
25290 3201 V 3426 3201 V 348 3321 V 407 3288 a Fw(+)p 537 3321
25291 V 109 w(102)p 786 3321 V 99 w(gg)h Fn(!)f Fw(H)1164 3252
25292 y Fl(0)p 2392 3321 V 2443 3288 a Fw([Eic84])p 3426 3321
25293 V 348 3441 V 407 3409 a(+)p 537 3441 V 109 w(103)p 786
25294 3441 V 99 w Fj(\015)5 b(\015)32 b Fn(!)c Fw(H)1178 3373
25295 y Fl(0)p 2392 3441 V 2443 3409 a Fw([Dre89])p 3426 3441
25296 V 350 3445 3080 4 v 348 3565 4 121 v 537 3565 V 786 3565
25297 V 838 3533 a(f)7 b(\))32 b(2)27 b Fn(!)g Fw(2,)33 b(b)s(o)m(x)p
25298 2392 3565 V 3426 3565 V 348 3685 V 407 3653 a(+)p 537
25299 3685 V 109 w(110)p 786 3685 V 99 w(f)868 3668 y Fh(i)p
25300 895 3574 37 4 v 895 3653 a Fw(f)932 3668 y Fh(i)988 3653
25301 y Fn(!)27 b Fj(\015)5 b Fw(H)1244 3617 y Fl(0)p 2392
25302 3685 4 121 v 2443 3653 a Fw([Ber85a])p 3426 3685 V 348
25303 3806 V 407 3773 a(+)p 537 3806 V 109 w(111)p 786 3806
25304 V 99 w(f)868 3788 y Fh(i)p 895 3694 37 4 v 895 3773 a
25305 Fw(f)932 3788 y Fh(i)988 3773 y Fn(!)27 b Fw(gH)1237
25306 3737 y Fl(0)p 2392 3806 4 121 v 2443 3773 a Fw([Ell88)n(])p
25307 3426 3806 V 348 3926 V 407 3894 a(+)p 537 3926 V 109
25308 w(112)p 786 3926 V 99 w(f)868 3909 y Fh(i)895 3894 y
25309 Fw(g)i Fn(!)f Fw(f)1131 3909 y Fh(i)1159 3894 y Fw(H)1232
25310 3858 y Fl(0)p 2392 3926 V 2443 3894 a Fw([Ell88)n(])p
25311 3426 3926 V 348 4047 V 407 4014 a(+)p 537 4047 V 109
25312 w(113)p 786 4047 V 99 w(gg)g Fn(!)f Fw(gH)1213 3978 y
25313 Fl(0)p 2392 4047 V 2443 4014 a Fw([Ell88)n(])p 3426 4047
25314 V 348 4167 V 407 4134 a(+)p 537 4167 V 109 w(114)p 786
25315 4167 V 99 w(gg)h Fn(!)f Fj(\015)5 b(\015)p 2392 4167
25316 V 1245 w Fw([Con71,)33 b(Ber84,)f(Dic88)o(])p 3426 4167
25317 V 348 4287 V 407 4255 a(+)p 537 4287 V 109 w(115)p 786
25318 4287 V 99 w(gg)c Fn(!)f Fw(g)q Fj(\015)p 2392 4287 V
25319 1251 w Fw([Con71,)33 b(Ber84,)f(Dic88)o(])p 3426 4287
25320 V 348 4408 V 537 4408 V 592 4375 a(116)p 786 4408 V 99
25321 w(gg)c Fn(!)f Fj(\015)5 b Fw(Z)1207 4339 y Fl(0)p 2392
25322 4408 V 3426 4408 V 348 4528 V 537 4528 V 592 4496 a Fw(117)p
25323 786 4528 V 99 w(gg)28 b Fn(!)f Fw(Z)1151 4459 y Fl(0)1190
25324 4496 y Fw(Z)1250 4459 y Fl(0)p 2392 4528 V 3426 4528
25325 V 348 4648 V 537 4648 V 592 4616 a Fw(118)p 786 4648
25326 V 99 w(gg)h Fn(!)f Fw(W)1192 4580 y Fl(+)1252 4616 y
25327 Fw(W)1353 4580 y Fk(\000)p 2392 4648 V 3426 4648 V 348
25328 4769 V 537 4769 V 592 4736 a Fw(119)p 786 4769 V 99 w
25329 Fj(\015)5 b(\015)32 b Fn(!)c Fw(gg)p 2392 4769 V 3426
25330 4769 V 350 4772 3080 4 v 348 4893 4 121 v 537 4893 V
25331 786 4893 V 838 4860 a(g\))k(2)27 b Fn(!)g Fw(3,)33 b(tree)p
25332 2392 4893 V 3426 4893 V 348 5013 V 407 4980 a(+)p 537
25333 5013 V 109 w(121)p 786 5013 V 99 w(gg)28 b Fn(!)f Fw(Q)1167
25334 4995 y Fh(k)p 1210 4902 76 4 v 1210 4980 a Fw(Q)1286
25335 5004 y Fh(k)1328 4980 y Fw(H)1401 4944 y Fl(0)p 2392
25336 5013 4 121 v 2443 4980 a Fw([Kun84])p 3426 5013 V 348
25337 5133 V 407 5101 a(+)p 537 5133 V 109 w(122)p 786 5133
25338 V 99 w(q)889 5116 y Fh(i)p 917 5048 52 4 v 917 5101 a
25339 Fw(q)969 5124 y Fh(i)1025 5101 y Fn(!)g Fw(Q)1228 5116
25340 y Fh(k)p 1270 5023 76 4 v 1270 5101 a Fw(Q)1346 5124
25341 y Fh(k)1389 5101 y Fw(H)1462 5065 y Fl(0)p 2392 5133
25342 4 121 v 2443 5101 a Fw([Kun84])p 3426 5133 V 348 5254
25343 V 407 5221 a(+)p 537 5254 V 109 w(123)p 786 5254 V 99
25344 w(f)868 5236 y Fh(i)895 5221 y Fw(f)925 5236 y Fh(j)989
25345 5221 y Fn(!)h Fw(f)1147 5236 y Fh(i)1175 5221 y Fw(f)1205
25346 5236 y Fh(j)1241 5221 y Fw(H)1314 5185 y Fl(0)1386 5221
25347 y Fw(\(ZZ)k(fusion\))p 2392 5254 V 576 w([Cah84])p 3426
25348 5254 V 348 5374 V 407 5342 a(+)p 537 5374 V 109 w(124)p
25349 786 5374 V 99 w(f)868 5357 y Fh(i)895 5342 y Fw(f)925
25350 5357 y Fh(j)989 5342 y Fn(!)c Fw(f)1147 5357 y Fh(k)1189
25351 5342 y Fw(f)1219 5357 y Fh(l)1245 5342 y Fw(H)1318 5305
25352 y Fl(0)1390 5342 y Fw(\(W)1529 5305 y Fl(+)1589 5342
25353 y Fw(W)1690 5305 y Fk(\000)1782 5342 y Fw(fusion\))p
25354 2392 5374 V 370 w([Cah84])p 3426 5374 V 348 5494 V 407
25355 5462 a(+)p 537 5494 V 109 w(131)p 786 5494 V 99 w(gg)g
25356 Fn(!)f Fw(Z)1151 5426 y Fl(0)1190 5462 y Fw(Q)1266 5477
25357 y Fh(k)p 1309 5384 76 4 v 1309 5462 a Fw(Q)1385 5485
25358 y Fh(k)p 2392 5494 4 121 v 2443 5462 a Fw([Eij90)o(])p
25359 3426 5494 V 350 5498 3080 4 v 1817 5953 a(115)p eop
25360 %%Page: 116 122
25361 116 121 bop 0 343 a Fw(T)-8 b(able)37 b(14:)52 b(Subpro)s(cess)39
25362 b(co)s(des,)g(part)e(4.)57 b(First)37 b(column)f(is)g(`+')i(for)e(pro)s
25363 (cesses)k(implemen)m(ted)35 b(and)0 452 y(blank)e(for)f(those)i(that)e
25364 (are)h(only)g(foreseen.)45 b(Second)34 b(is)f(the)g(subpro)s(cess)i(n)m
25365 (um)m(b)s(er)e Fq(ISUB)p Fw(,)h(and)f(third)0 560 y(the)41
25366 b(description)g(of)f(the)i(pro)s(cess.)70 b(The)42 b(\014nal)e(column)g
25367 (giv)m(es)h(references)i(from)d(whic)m(h)h(the)h(cross)0
25368 668 y(sections)33 b(ha)m(v)m(e)h(b)s(een)f(obtained.)43
25369 b(See)34 b(text)f(for)f(further)h(information.)p 373
25370 788 3034 4 v 371 908 4 121 v 423 876 a(In)p 560 908 V
25371 100 w(No.)p 809 908 V 99 w(Subpro)s(cess)p 2671 908 V
25372 1394 w(Reference)p 3403 908 V 373 912 3034 4 v 371 1032
25373 4 121 v 560 1032 V 809 1032 V 860 1000 a(h\))g(non-Standard)f(Mo)s
25374 (del,)h(2)27 b Fn(!)g Fw(1)p 2671 1032 V 3403 1032 V
25375 371 1152 V 430 1120 a(+)p 560 1152 V 108 w(141)p 809
25376 1152 V 99 w(f)890 1135 y Fh(i)p 918 1041 37 4 v 918 1120
25377 a Fw(f)955 1135 y Fh(i)1011 1120 y Fn(!)g Fj(\015)5 b(=)p
25378 Fw(Z)1303 1084 y Fl(0)1342 1120 y Fj(=)p Fw(Z)1451 1084
25379 y Fk(0)p Fl(0)p 2671 1152 4 121 v 2722 1120 a Fw([Alt89)o(])p
25380 3403 1152 V 371 1273 V 430 1240 a(+)p 560 1273 V 108
25381 w(142)p 809 1273 V 99 w(f)890 1255 y Fh(i)p 918 1161
25382 37 4 v 918 1240 a Fw(f)955 1255 y Fh(j)1019 1240 y Fn(!)28
25383 b Fw(W)1248 1204 y Fk(0)p Fl(+)p 2671 1273 4 121 v 2722
25384 1240 a Fw([Alt89)o(])p 3403 1273 V 371 1393 V 430 1361
25385 a(+)p 560 1393 V 108 w(143)p 809 1393 V 99 w(f)890 1376
25386 y Fh(i)p 918 1282 37 4 v 918 1361 a Fw(f)955 1376 y Fh(j)1019
25387 1361 y Fn(!)g Fw(H)1220 1325 y Fl(+)p 2671 1393 4 121
25388 v 2722 1361 a Fw([Gun87])p 3403 1393 V 371 1514 V 430
25389 1481 a(+)p 560 1514 V 108 w(144)p 809 1514 V 99 w(f)890
25390 1496 y Fh(i)p 918 1402 37 4 v 918 1481 a Fw(f)955 1496
25391 y Fh(j)1019 1481 y Fn(!)g Fw(R)p 2671 1514 4 121 v 1503
25392 w([Ben85a])p 3403 1514 V 371 1634 V 430 1601 a(+)p 560
25393 1634 V 108 w(145)p 809 1634 V 99 w(q)911 1616 y Fh(i)940
25394 1601 y Fj(`)981 1616 y Fh(j)1045 1601 y Fn(!)g Fw(L)1234
25395 1616 y Fl(Q)p 2671 1634 V 2722 1601 a Fw([W)-8 b(ud86)q(])p
25396 3403 1634 V 371 1754 V 430 1722 a(+)p 560 1754 V 108
25397 w(147)p 809 1754 V 99 w(dg)29 b Fn(!)f Fw(d)1174 1686
25398 y Fk(\003)p 2671 1754 V 2722 1722 a Fw([Bau90])p 3403
25399 1754 V 371 1875 V 430 1842 a(+)p 560 1875 V 108 w(148)p
25400 809 1875 V 99 w(ug)h Fn(!)f Fw(u)1174 1806 y Fk(\003)p
25401 2671 1875 V 2722 1842 a Fw([Bau90])p 3403 1875 V 371
25402 1995 V 430 1963 a(+)p 560 1995 V 108 w(149)p 809 1995
25403 V 99 w(gg)h Fn(!)e Fj(\021)1162 1978 y Fl(tec)n(hni)p
25404 2671 1995 V 2722 1963 a Fw([Eic84,)32 b(App92)q(])p 3403
25405 1995 V 371 2115 V 430 2083 a(+)p 560 2115 V 108 w(151)p
25406 809 2115 V 99 w(f)890 2098 y Fh(i)p 918 2004 37 4 v 918
25407 2083 a Fw(f)955 2098 y Fh(i)1011 2083 y Fn(!)27 b Fw(H)1211
25408 2047 y Fk(0)p Fl(0)p 2671 2115 4 121 v 2722 2083 a Fw([Eic84])p
25409 3403 2115 V 371 2236 V 430 2203 a(+)p 560 2236 V 108
25410 w(152)p 809 2236 V 99 w(gg)i Fn(!)e Fw(H)1187 2167 y
25411 Fk(0)p Fl(0)p 2671 2236 V 2722 2203 a Fw([Eic84])p 3403
25412 2236 V 371 2356 V 430 2324 a(+)p 560 2356 V 108 w(153)p
25413 809 2356 V 99 w Fj(\015)5 b(\015)33 b Fn(!)27 b Fw(H)1200
25414 2288 y Fk(0)p Fl(0)p 2671 2356 V 2722 2324 a Fw([Dre89])p
25415 3403 2356 V 371 2477 V 430 2444 a(+)p 560 2477 V 108
25416 w(156)p 809 2477 V 99 w(f)890 2459 y Fh(i)p 918 2365
25417 37 4 v 918 2444 a Fw(f)955 2459 y Fh(i)1011 2444 y Fn(!)g
25418 Fw(A)1211 2408 y Fl(0)p 2671 2477 4 121 v 2722 2444 a
25419 Fw([Eic84])p 3403 2477 V 371 2597 V 430 2565 a(+)p 560
25420 2597 V 108 w(157)p 809 2597 V 99 w(gg)i Fn(!)e Fw(A)1187
25421 2528 y Fl(0)p 2671 2597 V 2722 2565 a Fw([Eic84])p 3403
25422 2597 V 371 2717 V 430 2685 a(+)p 560 2717 V 108 w(158)p
25423 809 2717 V 99 w Fj(\015)5 b(\015)33 b Fn(!)27 b Fw(A)1200
25424 2649 y Fl(0)p 2671 2717 V 2722 2685 a Fw([Dre89])p 3403
25425 2717 V 373 2721 3034 4 v 371 2841 4 121 v 560 2841 V
25426 809 2841 V 860 2809 a(i\))32 b(non-Standard)g(Mo)s(del,)h(2)27
25427 b Fn(!)g Fw(2)33 b(and)f(2)c Fn(!)f Fw(3)p 2671 2841
25428 V 3403 2841 V 371 2961 V 430 2929 a(+)p 560 2961 V 108
25429 w(161)p 809 2961 V 99 w(f)890 2944 y Fh(i)918 2929 y
25430 Fw(g)i Fn(!)f Fw(f)1154 2944 y Fh(k)1196 2929 y Fw(H)1269
25431 2893 y Fl(+)p 2671 2961 V 2722 2929 a Fw([Bar88])p 3403
25432 2961 V 371 3082 V 430 3049 a(+)p 560 3082 V 108 w(162)p
25433 809 3082 V 99 w(qg)i Fn(!)d Fj(`)p Fw(L)1219 3064 y Fl(Q)p
25434 2671 3082 V 2722 3049 a Fw([Hew88)q(])p 3403 3082 V 371
25435 3202 V 430 3170 a(+)p 560 3202 V 108 w(163)p 809 3202
25436 V 99 w(gg)i Fn(!)e Fw(L)1175 3185 y Fl(Q)p 1234 3092
25437 61 4 v 1234 3170 a Fw(L)1295 3185 y Fl(Q)p 2671 3202
25438 4 121 v 2722 3170 a Fw([Hew88)q(,)33 b(Eic84)o(])p 3403
25439 3202 V 371 3323 V 430 3290 a(+)p 560 3323 V 108 w(164)p
25440 809 3323 V 99 w(q)911 3305 y Fh(i)p 940 3237 52 4 v 940
25441 3290 a Fw(q)992 3314 y Fh(i)1047 3290 y Fn(!)28 b Fw(L)1236
25442 3305 y Fl(Q)p 1295 3212 61 4 v 1295 3290 a Fw(L)1356
25443 3305 y Fl(Q)p 2671 3323 4 121 v 2722 3290 a Fw([Hew88)q(])p
25444 3403 3323 V 371 3443 V 430 3411 a(+)p 560 3443 V 108
25445 w(165)p 809 3443 V 99 w(f)890 3426 y Fh(i)p 918 3331
25446 37 4 v 918 3411 a Fw(f)955 3426 y Fh(i)1011 3411 y Fn(!)f
25447 Fw(f)1168 3426 y Fh(k)p 1211 3331 V 1211 3411 a Fw(f)1248
25448 3426 y Fh(k)1323 3411 y Fw(\(via)32 b Fj(\015)1577 3374
25449 y Fk(\003)1616 3411 y Fj(=)p Fw(Z)1725 3374 y Fl(0)1764
25450 3411 y Fw(\))p 2671 3443 4 121 v 920 w([Eic84,)g(Lan91])p
25451 3403 3443 V 371 3563 V 430 3531 a(+)p 560 3563 V 108
25452 w(166)p 809 3563 V 99 w(f)890 3546 y Fh(i)p 918 3452
25453 37 4 v 918 3531 a Fw(f)955 3546 y Fh(j)1019 3531 y Fn(!)c
25454 Fw(f)1177 3546 y Fh(k)p 1219 3452 V 1219 3531 a Fw(f)1256
25455 3546 y Fh(l)1314 3531 y Fw(\(via)k(W)1613 3495 y Fk(\006)1673
25456 3531 y Fw(\))p 2671 3563 4 121 v 1011 w([Eic84,)g(Lan91])p
25457 3403 3563 V 371 3684 V 430 3651 a(+)p 560 3684 V 108
25458 w(167)p 809 3684 V 99 w(qq)962 3615 y Fk(0)1014 3651
25459 y Fn(!)c Fw(q)1193 3615 y Fk(00)1236 3651 y Fw(d)1290
25460 3615 y Fk(\003)p 2671 3684 V 2722 3651 a Fw([Bau90])p
25461 3403 3684 V 371 3804 V 430 3772 a(+)p 560 3804 V 108
25462 w(168)p 809 3804 V 99 w(qq)962 3736 y Fk(0)1014 3772
25463 y Fn(!)g Fw(q)1193 3736 y Fk(00)1236 3772 y Fw(u)1290
25464 3736 y Fk(\003)p 2671 3804 V 2722 3772 a Fw([Bau90])p
25465 3403 3804 V 371 3925 V 430 3892 a(+)p 560 3925 V 108
25466 w(171)p 809 3925 V 99 w(f)890 3907 y Fh(i)p 918 3813
25467 37 4 v 918 3892 a Fw(f)955 3907 y Fh(i)1011 3892 y Fn(!)f
25468 Fw(Z)1198 3856 y Fl(0)1237 3892 y Fw(H)1310 3856 y Fk(0)p
25469 Fl(0)p 2671 3925 4 121 v 2722 3892 a Fw([Eic84])p 3403
25470 3925 V 371 4045 V 430 4012 a(+)p 560 4045 V 108 w(172)p
25471 809 4045 V 99 w(f)890 4027 y Fh(i)p 918 3933 37 4 v 918
25472 4012 a Fw(f)955 4027 y Fh(j)1019 4012 y Fn(!)h Fw(W)1248
25473 3976 y Fl(+)1307 4012 y Fw(H)1380 3976 y Fk(0)p Fl(0)p
25474 2671 4045 4 121 v 2722 4012 a Fw([Eic84])p 3403 4045
25475 V 371 4165 V 430 4133 a(+)p 560 4165 V 108 w(173)p 809
25476 4165 V 99 w(f)890 4148 y Fh(i)918 4133 y Fw(f)948 4148
25477 y Fh(j)1012 4133 y Fn(!)g Fw(f)1170 4148 y Fh(i)1198
25478 4133 y Fw(f)1228 4148 y Fh(j)1264 4133 y Fw(H)1337 4097
25479 y Fk(0)p Fl(0)1428 4133 y Fw(\(ZZ)k(fusion\))p 2671 4165
25480 V 813 w([Cah84])p 3403 4165 V 371 4286 V 430 4253 a(+)p
25481 560 4286 V 108 w(174)p 809 4286 V 99 w(f)890 4268 y Fh(i)918
25482 4253 y Fw(f)948 4268 y Fh(j)1012 4253 y Fn(!)c Fw(f)1170
25483 4268 y Fh(k)1212 4253 y Fw(f)1242 4268 y Fh(l)1268 4253
25484 y Fw(H)1341 4217 y Fk(0)p Fl(0)1432 4253 y Fw(\(W)1571
25485 4217 y Fl(+)1631 4253 y Fw(W)1732 4217 y Fk(\000)1824
25486 4253 y Fw(fusion\))p 2671 4286 V 607 w([Cah84])p 3403
25487 4286 V 371 4406 V 430 4374 a(+)p 560 4406 V 108 w(176)p
25488 809 4406 V 99 w(f)890 4389 y Fh(i)p 918 4294 37 4 v 918
25489 4374 a Fw(f)955 4389 y Fh(i)1011 4374 y Fn(!)f Fw(Z)1198
25490 4337 y Fl(0)1237 4374 y Fw(A)1310 4337 y Fl(0)p 2671
25491 4406 4 121 v 2722 4374 a Fw([Eic84])p 3403 4406 V 371
25492 4526 V 430 4494 a(+)p 560 4526 V 108 w(177)p 809 4526
25493 V 99 w(f)890 4509 y Fh(i)p 918 4415 37 4 v 918 4494 a
25494 Fw(f)955 4509 y Fh(j)1019 4494 y Fn(!)h Fw(W)1248 4458
25495 y Fl(+)1307 4494 y Fw(A)1380 4458 y Fl(0)p 2671 4526
25496 4 121 v 2722 4494 a Fw([Eic84])p 3403 4526 V 371 4647
25497 V 430 4614 a(+)p 560 4647 V 108 w(178)p 809 4647 V 99
25498 w(f)890 4629 y Fh(i)918 4614 y Fw(f)948 4629 y Fh(j)1012
25499 4614 y Fn(!)g Fw(f)1170 4629 y Fh(i)1198 4614 y Fw(f)1228
25500 4629 y Fh(j)1264 4614 y Fw(A)1337 4578 y Fl(0)1409 4614
25501 y Fw(\(ZZ)k(fusion\))p 2671 4647 V 832 w([Cah84])p 3403
25502 4647 V 371 4767 V 430 4735 a(+)p 560 4767 V 108 w(179)p
25503 809 4767 V 99 w(f)890 4750 y Fh(i)918 4735 y Fw(f)948
25504 4750 y Fh(j)1012 4735 y Fn(!)c Fw(f)1170 4750 y Fh(k)1212
25505 4735 y Fw(f)1242 4750 y Fh(l)1268 4735 y Fw(A)1341 4699
25506 y Fl(0)1413 4735 y Fw(\(W)1552 4699 y Fl(+)1612 4735
25507 y Fw(W)1713 4699 y Fk(\000)1805 4735 y Fw(fusion\))p
25508 2671 4767 V 626 w([Cah84])p 3403 4767 V 371 4888 V 430
25509 4855 a(+)p 560 4888 V 108 w(181)p 809 4888 V 99 w(gg)h
25510 Fn(!)e Fw(Q)1190 4870 y Fh(k)p 1233 4777 76 4 v 1233
25511 4855 a Fw(Q)1309 4879 y Fh(k)1351 4855 y Fw(H)1424 4819
25512 y Fk(0)p Fl(0)p 2671 4888 4 121 v 2722 4855 a Fw([Kun84])p
25513 3403 4888 V 371 5008 V 430 4975 a(+)p 560 5008 V 108
25514 w(182)p 809 5008 V 99 w(q)911 4990 y Fh(i)p 940 4923
25515 52 4 v 940 4975 a Fw(q)992 4999 y Fh(i)1047 4975 y Fn(!)h
25516 Fw(Q)1251 4990 y Fh(k)p 1293 4897 76 4 v 1293 4975 a
25517 Fw(Q)1369 4999 y Fh(k)1412 4975 y Fw(H)1485 4939 y Fk(0)p
25518 Fl(0)p 2671 5008 4 121 v 2722 4975 a Fw([Kun84])p 3403
25519 5008 V 371 5128 V 430 5096 a(+)p 560 5128 V 108 w(186)p
25520 809 5128 V 99 w(gg)h Fn(!)e Fw(Q)1190 5111 y Fh(k)p 1233
25521 5018 76 4 v 1233 5096 a Fw(Q)1309 5119 y Fh(k)1351 5096
25522 y Fw(A)1424 5060 y Fl(0)p 2671 5128 4 121 v 2722 5096
25523 a Fw([Kun84])p 3403 5128 V 371 5249 V 430 5216 a(+)p
25524 560 5249 V 108 w(187)p 809 5249 V 99 w(q)911 5231 y Fh(i)p
25525 940 5163 52 4 v 940 5216 a Fw(q)992 5240 y Fh(i)1047
25526 5216 y Fn(!)h Fw(Q)1251 5231 y Fh(k)p 1293 5138 76 4
25527 v 1293 5216 a Fw(Q)1369 5240 y Fh(k)1412 5216 y Fw(A)1485
25528 5180 y Fl(0)p 2671 5249 4 121 v 2722 5216 a Fw([Kun84])p
25529 3403 5249 V 373 5252 3034 4 v 1817 5953 a(116)p eop
25530 %%Page: 117 123
25531 117 122 bop 0 -18 a Fw(or)35 b(accessible)h(form,)f(or)h(where)h(c)m
25532 (hance)g(lead)e(us.)53 b(Ap)s(ologies)34 b(to)h(all)e(matrix-elemen)m
25533 (t)h(calculators)0 90 y(who)i(are)g(not)f(men)m(tioned.)53
25534 b(Ho)m(w)m(ev)m(er,)39 b(remem)m(b)s(er)c(that)h(this)f(is)h(not)f(a)h
25535 (review)g(article)e(on)i(ph)m(ysics)0 198 y(pro)s(cesses,)f(but)d(only)
25536 g(a)g(w)m(a)m(y)i(for)e(readers)h(to)f(kno)m(w)h(what)g(is)f(actually)f
25537 (found)h(in)g(the)h(program,)e(for)0 307 y(b)s(etter)i(or)f(w)m(orse.)
25538 46 b(In)33 b(sev)m(eral)g(instances,)h(errata)e(ha)m(v)m(e)i(b)s(een)f
25539 (obtained)g(from)e(the)i(authors.)44 b(Often)0 415 y(the)j(form)m(ulae)
25540 e(giv)m(en)i(in)e(the)i(literature)e(ha)m(v)m(e)j(b)s(een)g
25541 (generalized)e(to)g(include)g(trivial)e(radiativ)m(e)0
25542 523 y(corrections,)33 b(Breit{Wigner)e(line)g(shap)s(es)j(with)i(^)-53
25543 b Fj(s)p Fw(-dep)s(enden)m(t)34 b(widths)f(\(see)h(section)e(7.3\),)h
25544 (etc.)146 632 y(The)46 b(follo)m(wing)c(sections)j(con)m(tain)g(some)f
25545 (useful)h(commen)m(ts)f(on)h(the)g(pro)s(cesses)i(included)d(in)0
25546 740 y(the)32 b(program,)f(group)s(ed)h(b)m(y)h(ph)m(ysics)g(in)m
25547 (terest)g(rather)f(than)g(sequen)m(tially)f(b)m(y)i(ISUB)g(or)e
25548 Fq(MSEL)i Fw(co)s(de)0 848 y(\(see)38 b(9.2)f(for)f(further)i
25549 (information)c(on)j(the)g Fq(MSEL)h Fw(co)s(de\).)57
25550 b(The)39 b(di\013eren)m(t)e(ISUB)g(and)h Fq(MSEL)g Fw(co)s(des)0
25551 957 y(that)c(can)g(b)s(e)g(used)h(to)f(sim)m(ulate)e(the)j(di\013eren)m
25552 (t)f(groups)g(are)g(giv)m(en.)48 b(ISUB)35 b(co)s(des)g(within)d(brac)m
25553 (k)m(ets)0 1065 y(indicate)41 b(the)h(kind)f(of)g(pro)s(cesses)j(that)d
25554 (indirectly)g(in)m(v)m(olv)m(e)g(the)h(giv)m(en)g(ph)m(ysics)h(topic,)h
25555 (although)0 1173 y(only)29 b(as)h(part)g(of)f(a)h(larger)e(whole.)43
25556 b(Some)29 b(ob)m(vious)h(examples,)g(suc)m(h)i(as)e(the)g(p)s
25557 (ossibilit)m(y)d(to)j(pro)s(duce)0 1282 y(jets)j(in)f(just)h(ab)s(out)f
25558 (an)m(y)h(pro)s(cess,)h(are)f(not)f(sp)s(elled)g(out)h(in)e(detail.)146
25559 1390 y(The)g(text)f(at)f(times)f(con)m(tains)i(information)c(on)j(whic)
25560 m(h)h(sp)s(ecial)e(switc)m(hes)j(or)e(parameters)h(are)f(of)0
25561 1498 y(particular)f(in)m(terest)j(to)f(a)g(giv)m(en)g(pro)s(cess.)44
25562 b(All)29 b(these)i(switc)m(hes)h(are)e(describ)s(ed)h(in)e(detail)g(in)
25563 g(section)0 1607 y(9.3,)35 b(but)g(are)g(alluded)f(to)g(here)i(so)f(as)
25564 g(to)g(pro)m(vide)g(a)f(more)h(complete)f(picture)h(of)f(the)h(p)s
25565 (ossibilities)0 1715 y(a)m(v)-5 b(ailable)33 b(for)i(the)h(di\013eren)m
25566 (t)f(subpro)s(cesses.)55 b(Ho)m(w)m(ev)m(er,)39 b(the)d(list)e(of)h(p)s
25567 (ossibilities)d(is)j(certainly)g(not)0 1823 y(exhausted)f(b)m(y)g(the)f
25568 (text)g(b)s(elo)m(w.)0 2097 y Fp(8.2)135 b(QCD)45 b(Pro)t(cesses)0
25569 2270 y Fw(In)38 b(this)e(section)i(w)m(e)g(discuss)h(scatterings)e
25570 (exclusiv)m(ely)h(b)s(et)m(w)m(een)h(coloured)e(partons)h(|)e(a)h(pro)s
25571 (cess)0 2378 y(lik)m(e)d(e)224 2342 y Fl(+)284 2378 y
25572 Fw(e)327 2342 y Fk(\000)417 2378 y Fn(!)e Fj(\015)605
25573 2342 y Fk(\003)644 2378 y Fj(=)p Fw(Z)753 2342 y Fl(0)823
25574 2378 y Fn(!)g Fw(q)p 1006 2325 52 4 v(q)j(is)g(also)f(traditionally)d
25575 (called)i(a)i(QCD)g(ev)m(en)m(t,)i(but)e(is)f(here)i(b)s(o)s(ok-k)m
25576 (ept)0 2487 y(as)d Fj(\015)176 2450 y Fk(\003)215 2487
25577 y Fj(=)p Fw(Z)324 2450 y Fl(0)396 2487 y Fw(pro)s(duction.)0
25578 2734 y Fo(8.2.1)112 b(QCD)38 b(jets)0 2907 y Fq(MSEL)c
25579 Fw(=)e(1,)g(2)0 3015 y(ISUB)h(=)50 3112 y(11)99 b(q)298
25580 3127 y Fh(i)327 3112 y Fw(q)378 3127 y Fh(j)442 3112
25581 y Fn(!)28 b Fw(q)621 3127 y Fh(i)649 3112 y Fw(q)700
25582 3127 y Fh(j)50 3232 y Fw(12)99 b(q)298 3247 y Fh(i)p
25583 327 3179 V 327 3232 a Fw(q)378 3255 y Fh(i)434 3232 y
25584 Fn(!)27 b Fw(q)612 3247 y Fh(k)p 655 3179 V 655 3232
25585 a Fw(q)707 3255 y Fh(k)50 3352 y Fw(13)99 b(q)298 3367
25586 y Fh(i)p 327 3299 V 327 3352 a Fw(q)378 3376 y Fh(i)434
25587 3352 y Fn(!)27 b Fw(gg)50 3473 y(28)99 b(q)298 3488 y
25588 Fh(i)327 3473 y Fw(g)28 b Fn(!)g Fw(q)583 3488 y Fh(i)611
25589 3473 y Fw(g)50 3593 y(53)99 b(gg)29 b Fn(!)e Fw(q)552
25590 3608 y Fh(k)p 595 3540 V 595 3593 a Fw(q)647 3617 y Fh(k)50
25591 3713 y Fw(68)99 b(gg)29 b Fn(!)e Fw(gg)146 3823 y(No)d(higher-order)f
25592 (pro)s(cesses)j(are)e(explicitly)f(included,)i(nor)f(an)m(y)h
25593 (higher-order)e(lo)s(op)f(corrections)0 3932 y(to)h(the)h(2)k
25594 Fn(!)f Fw(2)d(pro)s(cesses.)42 b(Ho)m(w)m(ev)m(er,)28
25595 b(b)m(y)d(initial-)19 b(and)24 b(\014nal-state)f(QCD)g(radiation,)h(m)m
25596 (ultijet)d(ev)m(en)m(ts)0 4040 y(are)48 b(b)s(eing)f(generated,)52
25597 b(starting)47 b(from)g(the)h(ab)s(o)m(v)m(e)g(pro)s(cesses.)91
25598 b(The)49 b(sho)m(w)m(er)h(rate)d(of)h(m)m(ultijet)0 4149
25599 y(pro)s(duction)32 b(is)g(clearly)g(uncertain)g(b)m(y)i(some)e(amoun)m
25600 (t,)g(esp)s(ecially)g(for)g(w)m(ell-separated)g(jets.)146
25601 4257 y(A)44 b(string-based)g(fragmen)m(tation)e(sc)m(heme)k(suc)m(h)f
25602 (as)f(the)h(Lund)f(mo)s(del)e(needs)k(cross)f(sections)0
25603 4365 y(for)37 b(the)i(di\013eren)m(t)f(colour)f(\015o)m(ws;)42
25604 b(these)d(ha)m(v)m(e)h(b)s(een)e(calculated)f(in)h([Ben84])g(and)g
25605 (di\013er)f(from)g(the)0 4474 y(usual)26 b(calculations)e(b)m(y)j(in)m
25606 (terference)g(terms)g(of)e(the)i(order)f(1)p Fj(=)-5
25607 b(N)2383 4437 y Fl(2)2373 4498 y Fh(C)2432 4474 y Fw(.)41
25608 b(By)27 b(default,)f(the)h(standard)g(QCD)0 4582 y(expressions)k(for)e
25609 (the)h(di\013eren)m(tial)d(cross)k(sections)f(are)f(used.)44
25610 b(In)29 b(this)g(case,)i(the)f(in)m(terference)h(terms)0
25611 4690 y(are)36 b(distributed)g(on)g(the)g(v)-5 b(arious)35
25612 b(colour)g(\015o)m(ws)j(according)d(to)h(the)g(p)s(ole)f(structure)i
25613 (of)f(the)g(terms.)0 4799 y(Ho)m(w)m(ev)m(er,)f(the)e(in)m(terference)h
25614 (terms)e(can)h(b)s(e)g(excluded,)h(b)m(y)f(c)m(hanging)h
25615 Fq(MSTP\(34\))146 4907 y Fw(As)44 b(an)f(example,)i(consider)e(subpro)s
25616 (cess)i(28,)h(qg)h Fn(!)e Fw(qg)q(.)75 b(The)44 b(total)d(cross)j
25617 (section)f(for)g(this)0 5015 y(pro)s(cess,)33 b(obtained)d(b)m(y)i
25618 (summing)d(and)i(squaring)g(the)g(F)-8 b(eynman)35 b(^)-53
25619 b Fj(s)p Fw(-,)2619 4997 y(^)2618 5015 y Fj(t)p Fw(-,)31
25620 b(and)37 b(^)-55 b Fj(u)o Fw(-c)m(hannel)31 b(graphs,)h(is)0
25621 5124 y([Com77)o(])1226 5306 y(2)1292 5160 y Fg( )1357
25622 5306 y Fw(1)22 b Fn(\000)1543 5239 y Fw(^)-55 b Fj(u)t
25623 Fw(^)i Fj(s)p 1537 5283 102 4 v 1552 5362 a Fw(^)1550
25624 5381 y Fj(t)1585 5352 y Fl(2)1649 5160 y Fg(!)1736 5306
25625 y Fn(\000)1846 5239 y Fw(4)p 1846 5283 49 4 v 1846 5375
25626 a(9)1921 5160 y Fg( )2006 5239 y Fw(^)g Fj(s)p 1997 5283
25627 56 4 v 2003 5375 a Fw(^)e Fj(u)2085 5306 y Fw(+)2199
25628 5239 y(^)g Fj(u)p 2193 5283 V 2202 5375 a Fw(^)i Fj(s)2258
25629 5160 y Fg(!)2346 5306 y Fn(\000)23 b Fw(1)32 b Fj(:)1003
25630 b Fw(\(111\))0 5547 y(\(An)31 b(o)m(v)m(erall)g(factor)g
25631 Fj(\031)t(\013)907 5511 y Fl(2)906 5572 y(s)946 5547
25632 y Fj(=)t Fw(^)-53 b Fj(s)1041 5511 y Fl(2)1111 5547 y
25633 Fw(is)31 b(ignored.\))42 b(Using)31 b(the)h(iden)m(tit)m(y)f(of)g(the)g
25634 (Mandelstam)g(v)-5 b(ariables)30 b(for)1817 5953 y(117)p
25635 eop
25636 %%Page: 118 124
25637 118 123 bop 0 -18 a Fw(the)33 b(massless)g(case,)38 b(^)-53
25638 b Fj(s)22 b Fw(+)956 -37 y(^)955 -18 y Fj(t)g Fw(+)28
25639 b(^)-55 b Fj(u)27 b Fw(=)h(0,)k(this)g(can)h(b)s(e)g(rewritten)g(as)
25640 1401 178 y(^)-53 b Fj(s)1443 142 y Fl(2)1504 178 y Fw(+)28
25641 b(^)-55 b Fj(u)1658 142 y Fl(2)p 1397 222 301 4 v 1511
25642 301 a Fw(^)1510 319 y Fj(t)1545 291 y Fl(2)1729 245 y
25643 Fn(\000)1839 178 y Fw(4)p 1839 222 49 4 v 1839 314 a(9)1914
25644 99 y Fg( )1999 178 y Fw(^)i Fj(s)p 1990 222 56 4 v 1996
25645 314 a Fw(^)e Fj(u)2077 245 y Fw(+)2192 178 y(^)f Fj(u)p
25646 2185 222 V 2194 314 a Fw(^)j Fj(s)2251 99 y Fg(!)2366
25647 245 y Fj(:)1164 b Fw(\(112\))146 509 y(On)23 b(the)f(other)h(hand,)h
25648 (the)f(cross)g(sections)g(for)f(the)g(t)m(w)m(o)h(p)s(ossible)f(colour)
25649 f(\015o)m(ws)j(of)d(this)h(subpro)s(cess)0 617 y(are)33
25650 b([Ben84])1411 886 y Fj(A)27 b Fw(:)1714 819 y(4)p 1714
25651 863 49 4 v 1714 955 a(9)1790 740 y Fg( )1856 886 y Fw(2)1921
25652 819 y(^)-55 b Fj(u)1971 783 y Fl(2)p 1915 863 95 4 v
25653 1926 942 a Fw(^)1925 961 y Fj(t)1960 932 y Fl(2)2041
25654 886 y Fn(\000)2157 819 y Fw(^)g Fj(u)p 2151 863 56 4
25655 v 2160 955 a Fw(^)i Fj(s)2216 740 y Fg(!)2331 886 y Fw(;)1405
25656 1169 y Fj(B)32 b Fw(:)1714 1101 y(4)p 1714 1145 49 4
25657 v 1714 1237 a(9)1790 1023 y Fg( )1856 1169 y Fw(2)1919
25658 1101 y(^)-53 b Fj(s)1961 1065 y Fl(2)p 1915 1145 86 4
25659 v 1922 1225 a Fw(^)1920 1243 y Fj(t)1955 1214 y Fl(2)2032
25660 1169 y Fn(\000)2150 1101 y Fw(^)g Fj(s)p 2141 1145 56
25661 4 v 2147 1237 a Fw(^)e Fj(u)2207 1023 y Fg(!)2322 1169
25662 y Fj(:)1208 b Fw(\(113\))0 1432 y(Colour)36 b(con\014guration)g
25663 Fj(A)h Fw(is)g(one)g(in)f(whic)m(h)i(the)f(original)d(colour)i(of)g
25664 (the)i(q)f(annihilates)e(with)i(the)0 1541 y(an)m(ticolour)h(of)i(the)g
25665 (g)q(,)i(the)e(g)h(colour)e(\015o)m(ws)j(through,)f(and)f(a)g(new)h
25666 (colour{an)m(ticolour)c(is)j(created)0 1649 y(b)s(et)m(w)m(een)33
25667 b(the)f(\014nal)f(q)g(and)h(g)q(.)43 b(In)32 b(colour)e
25668 (con\014guration)h Fj(B)5 b Fw(,)31 b(the)h(gluon)e(an)m(ticolour)g
25669 (\015o)m(ws)i(through,)0 1757 y(but)f(the)g(q)g(and)g(g)h(colours)e
25670 (are)h(in)m(terc)m(hanged.)43 b(Note)31 b(that)g(these)h(t)m(w)m(o)f
25671 (colour)f(con\014gurations)g(ha)m(v)m(e)0 1866 y(di\013eren)m(t)39
25672 b(kinematics)f(dep)s(endence.)65 b(F)-8 b(or)38 b Fq(MSTP\(34\)=0)p
25673 Fw(,)44 b(these)c(are)f(the)g(cross)h(sections)g(actually)0
25674 1974 y(used.)146 2082 y(The)34 b(sum)e(of)g(the)h Fj(A)g
25675 Fw(and)g Fj(B)k Fw(con)m(tributions)32 b(is)1362 2259
25676 y(8)p 1362 2304 49 4 v 1362 2395 a(9)1435 2259 y(^)-53
25677 b Fj(s)1477 2223 y Fl(2)1539 2259 y Fw(+)28 b(^)-55 b
25678 Fj(u)1693 2223 y Fl(2)p 1431 2304 301 4 v 1545 2383 a
25679 Fw(^)1544 2401 y Fj(t)1579 2372 y Fl(2)1764 2327 y Fn(\000)1873
25680 2259 y Fw(4)p 1873 2304 49 4 v 1873 2395 a(9)1949 2181
25681 y Fg( )2033 2259 y Fw(^)i Fj(s)p 2024 2304 56 4 v 2030
25682 2395 a Fw(^)e Fj(u)2112 2327 y Fw(+)2226 2259 y(^)g Fj(u)p
25683 2220 2304 V 2229 2395 a Fw(^)i Fj(s)2285 2181 y Fg(!)2400
25684 2327 y Fj(:)1130 b Fw(\(114\))0 2596 y(The)37 b(di\013erence)f(b)s(et)m
25685 (w)m(een)i(this)d(expression)i(and)f(that)f(of)g([Com77],)h(corresp)s
25686 (onding)g(to)f(the)h(in)m(ter-)0 2704 y(ference)e(b)s(et)m(w)m(een)h
25687 (the)e(t)m(w)m(o)g(colour-\015o)m(w)f(con\014gurations,)g(is)g(then)
25688 1675 2898 y(1)p 1675 2942 49 4 v 1675 3033 a(9)1748 2898
25689 y(^)-53 b Fj(s)1790 2861 y Fl(2)1852 2898 y Fw(+)28 b(^)-55
25690 b Fj(u)2006 2861 y Fl(2)p 1744 2942 301 4 v 1858 3021
25691 a Fw(^)1857 3039 y Fj(t)1892 3010 y Fl(2)2087 2965 y
25692 Fj(;)1443 b Fw(\(115\))0 3203 y(whic)m(h)33 b(can)g(b)s(e)g(naturally)e
25693 (divided)h(b)s(et)m(w)m(een)j(colour)c(\015o)m(ws)j Fj(A)f
25694 Fw(and)f Fj(B)5 b Fw(:)1616 3464 y Fj(A)28 b Fw(:)1920
25695 3396 y(1)p 1920 3441 49 4 v 1920 3532 a(9)1995 3396 y(^)-55
25696 b Fj(u)2045 3360 y Fl(2)p 1989 3441 95 4 v 2000 3520
25697 a Fw(^)1999 3538 y Fj(t)2034 3509 y Fl(2)2126 3464 y
25698 Fw(;)1610 3718 y Fj(B)33 b Fw(:)1920 3650 y(1)p 1920
25699 3694 49 4 v 1920 3786 a(9)1993 3650 y(^)-53 b Fj(s)2035
25700 3614 y Fl(2)p 1989 3694 86 4 v 1996 3774 a Fw(^)1994
25701 3792 y Fj(t)2029 3763 y Fl(2)2116 3718 y Fj(:)1414 b
25702 Fw(\(116\))0 3956 y(F)-8 b(or)45 b Fq(MSTP\(34\)=1)p
25703 Fw(,)52 b(the)47 b(standard)f(QCD)g(matrix)e(elemen)m(t)i(is)f
25704 (therefore)i(used,)k(with)45 b(the)i(same)0 4064 y(relativ)m(e)c(imp)s
25705 (ortance)f(of)h(the)h(t)m(w)m(o)h(colour)e(con\014gurations)g(as)h(ab)s
25706 (o)m(v)m(e.)77 b(Similar)40 b(pro)s(cedures)45 b(are)0
25707 4173 y(follo)m(w)m(ed)32 b(also)f(for)h(the)h(other)g(QCD)f(subpro)s
25708 (cesses.)146 4281 y(All)42 b(the)h(matrix)f(elemen)m(ts)i(in)e(this)h
25709 (group)g(are)g(for)g(massless)h(quarks)g(\(although)e(\014nal-state)0
25710 4389 y(quarks)27 b(are)g(of)e(course)j(put)e(on)g(the)h(mass)f
25711 (shell\).)40 b(As)27 b(a)f(consequence,)31 b(cross)c(sections)f(are)h
25712 (div)m(ergen)m(t)0 4498 y(for)37 b Fj(p)203 4513 y Fk(?)298
25713 4498 y Fn(!)e Fw(0,)k(and)e(some)h(kind)f(of)g(regularization)e(is)h
25714 (required.)59 b(Normally)35 b(y)m(ou)j(are)g(exp)s(ected)h(to)0
25715 4606 y(set)33 b(the)g(desired)g Fj(p)700 4621 y Fk(?)p
25716 Fl(min)910 4606 y Fw(v)-5 b(alue)32 b(in)f Fq(CKIN\(3\))p
25717 Fw(.)146 4714 y(The)i(new)g(\015a)m(v)m(our)g(pro)s(duced)g(in)f(the)g
25718 (annihilation)d(pro)s(cesses)34 b(\(ISUB)e(=)g(12)g(and)g(53\))g(is)f
25719 (deter-)0 4823 y(mined)h(b)m(y)h(the)g(\015a)m(v)m(ours)h(allo)m(w)m
25720 (ed)e(for)g(gluon)g(splitting)e(in)m(to)i(quark{an)m(tiquark;)h(see)h
25721 (switc)m(h)f Fq(MDME)p Fw(.)0 5069 y Fo(8.2.2)112 b(Hea)m(vy)38
25722 b(\015a)m(v)m(ours)0 5241 y Fq(MSEL)c Fw(=)e(4,)g(5,)h(6,)f(7,)h(8)0
25723 5350 y(ISUB)g(=)126 5446 y(81)99 b(q)374 5461 y Fh(i)p
25724 403 5393 52 4 v 403 5446 a Fw(q)454 5469 y Fh(i)510 5446
25725 y Fn(!)27 b Fw(Q)713 5461 y Fh(k)p 756 5368 76 4 v 756
25726 5446 a Fw(Q)832 5469 y Fh(k)126 5566 y Fw(82)99 b(gg)28
25727 b Fn(!)g Fw(Q)653 5581 y Fh(k)p 695 5488 V 695 5566 a
25728 Fw(Q)771 5590 y Fh(k)50 5687 y Fw(\(83\))99 b(q)374 5702
25729 y Fh(i)403 5687 y Fw(f)433 5702 y Fh(j)497 5687 y Fn(!)27
25730 b Fj(Q)701 5702 y Fh(k)744 5687 y Fj(f)792 5702 y Fh(l)1817
25731 5953 y Fw(118)p eop
25732 %%Page: 119 125
25733 119 124 bop 146 -18 a Fw(The)43 b(matrix)d(elemen)m(ts)i(in)e(this)i
25734 (group)f(di\013er)g(from)f(the)i(corresp)s(onding)g(ones)g(in)f(the)h
25735 (group)0 90 y(ab)s(o)m(v)m(e)36 b(in)e(that)h(they)i(correctly)e(tak)m
25736 (e)h(in)m(to)e(accoun)m(t)i(the)g(quark)g(masses.)52
25737 b(As)36 b(a)f(consequence,)k(the)0 198 y(cross)33 b(sections)g(are)f
25738 (\014nite)f(for)h Fj(p)1211 213 y Fk(?)1297 198 y Fn(!)c
25739 Fw(0.)43 b(It)32 b(is)f(therefore)i(not)f(necessary)i(to)e(in)m(tro)s
25740 (duce)g(an)m(y)g(sp)s(ecial)0 307 y(cuts.)146 415 y(The)48
25741 b(t)m(w)m(o)f(\014rst)h(pro)s(cesses)g(that)f(app)s(ear)f(here)i(are)f
25742 (the)g(dominan)m(t)e(lo)m(w)m(est-order)i(graphs)g(in)0
25743 523 y(hadron)31 b(colliders)f(|)h(a)g(few)h(other)g(graphs)f(will)e(b)s
25744 (e)j(men)m(tioned)f(later,)g(suc)m(h)i(as)e(pro)s(cess)i(83,)e(whic)m
25745 (h)0 632 y(is)h(imp)s(ortan)m(t)f(for)h(a)g(hea)m(vy)i(top.)146
25746 740 y(The)g(c)m(hoice)f(of)f(\015a)m(v)m(our)h(to)g(pro)s(duce)g(is)f
25747 (according)g(to)g(a)g(hierarc)m(h)m(y)i(of)e(options:)119
25748 853 y(1.)49 b(if)38 b Fq(MSEL=4-8)d Fw(then)e(the)g(\015a)m(v)m(our)h
25749 (is)e(set)h(b)m(y)g(the)g Fq(MSEL)h Fw(v)-5 b(alue;)119
25750 971 y(2.)49 b(else)33 b(if)38 b Fq(MSTP\(7\)=1-8)d Fw(then)f(the)f
25751 (\015a)m(v)m(our)g(is)f(set)i(b)m(y)f(the)g Fq(MSTP\(7\))h
25752 Fw(v)-5 b(alue;)119 1089 y(3.)49 b(else)28 b(the)h(\015a)m(v)m(our)f
25753 (is)g(determined)g(b)m(y)h(the)f(hea)m(viest)h(\015a)m(v)m(our)g(allo)m
25754 (w)m(ed)e(for)h(gluon)e(splitting)g(in)m(to)244 1197
25755 y(quark{an)m(tiquark;)33 b(see)h(switc)m(h)f Fq(MDME)p
25756 Fw(.)0 1310 y(Note)k(that)f(only)g(one)h(hea)m(vy)h(\015a)m(v)m(our)g
25757 (is)e(allo)m(w)m(ed)g(at)g(a)g(time;)h(if)f(more)g(than)g(one)h(is)f
25758 (turned)i(on)e(in)0 1418 y Fq(MDME)p Fw(,)h(only)d(the)i(hea)m(viest)h
25759 (will)c(b)s(e)i(pro)s(duced)i(\(as)e(opp)s(osed)h(to)f(the)h(case)g
25760 (for)f(ISUB)h(=)g(12)e(and)i(53)0 1527 y(ab)s(o)m(v)m(e,)d(where)h
25761 (more)e(than)h(one)g(\015a)m(v)m(our)g(is)f(allo)m(w)m(ed)g(sim)m
25762 (ultaneously\).)146 1635 y(The)49 b(lo)m(w)m(est-order)g(pro)s(cesses)h
25763 (listed)d(ab)s(o)m(v)m(e)i(just)f(represen)m(t)i(one)f(source)g(of)e
25764 (hea)m(vy-\015a)m(v)m(our)0 1743 y(pro)s(duction.)42
25765 b(Hea)m(vy)33 b(quarks)g(can)e(also)g(b)s(e)g(presen)m(t)i(in)d(the)i
25766 (parton)f(distributions)f(at)h(the)h Fj(Q)3508 1707 y
25767 Fl(2)3578 1743 y Fw(scale)0 1852 y(of)c(the)g(hard)g(in)m(teraction,)g
25768 (leading)e(to)i(pro)s(cesses)i(lik)m(e)d(Qg)i Fn(!)e
25769 Fw(Qg)q(,)i(so-called)e(\015a)m(v)m(our)i(excitation,)f(or)0
25770 1960 y(they)i(can)f(b)s(e)g(created)h(b)m(y)g(gluon)d(splittings)h(g)g
25771 Fn(!)g Fw(Q)p 1953 1882 76 4 v(Q)g(in)g(initial-)d(or)k(\014nal-state)f
25772 (sho)m(w)m(er)i(ev)m(olution.)0 2068 y(In)i(fact,)g(as)g(the)g(c.m.)43
25773 b(energy)33 b(is)e(increased,)i(these)g(other)f(pro)s(cesses)i(gain)d
25774 (in)g(imp)s(ortance)f(relativ)m(e)0 2177 y(to)24 b(the)h(lo)m(w)m
25775 (est-order)f(pro)s(duction)g(graphs)h(ab)s(o)m(v)m(e.)41
25776 b(As)25 b(as)g(example,)g(only)f(10\045)g(of)g(the)h(b)f(pro)s(duction)
25777 0 2285 y(at)k(LHC)g(energies)h(come)e(from)g(the)h(lo)m(w)m(est-order)h
25778 (graphs.)42 b(The)29 b(\014gure)f(is)g(ev)m(en)h(smaller)d(for)i(c)m
25779 (harm,)0 2393 y(while)h(it)g(is)h(at)f(or)h(ab)s(o)m(v)m(e)h(50\045)e
25780 (for)h(top.)42 b(A)m(t)31 b(LHC)f(energies,)h(the)g(sp)s(ecialized)e
25781 (treatmen)m(t)h(describ)s(ed)0 2502 y(in)42 b(this)g(subsection)h(is)f
25782 (therefore)h(only)f(of)g(in)m(terest)h(for)f(top)g(\(and)h(p)s(oten)m
25783 (tial)e(fourth-generation)0 2610 y(quarks\))26 b(|)e(the)h
25784 (higher-order)f(corrections)h(can)g(here)g(b)s(e)g(appro)m(ximated)f(b)
25785 m(y)i(an)e(e\013ectiv)m(e)i Fj(K)32 b Fw(factor,)0 2718
25786 y(except)g(p)s(ossibly)d(in)h(some)g(rare)g(corners)h(of)e(phase)i
25787 (space.)44 b(F)-8 b(or)29 b(c)m(harm)h(and)h(b)s(ottom,)e(on)h(the)g
25788 (other)0 2827 y(hand,)48 b(it)43 b(is)h(necessary)j(to)d(sim)m(ulate)f
25789 (the)i(full)e(ev)m(en)m(t)j(sample)e(\(within)f(the)i(desired)g
25790 (kinematics)0 2935 y(cuts\),)38 b(and)d(then)i(only)e(k)m(eep)j(those)e
25791 (ev)m(en)m(ts)i(with)e(b)p Fj(=)p Fw(c)g(either)f(from)g(lo)m(w)m
25792 (est-order)h(pro)s(duction,)g(or)0 3043 y(\015a)m(v)m(our)31
25793 b(excitation,)f(or)f(gluon)h(splitting.)40 b(Ob)m(viously)30
25794 b(this)g(ma)m(y)g(b)s(e)g(a)g(time-consuming)d(en)m(terprise)0
25795 3152 y(|)h(although)f(the)i(probabilit)m(y)e(for)h(a)g(high-)p
25796 Fj(p)1676 3167 y Fk(?)1763 3152 y Fw(ev)m(en)m(t)i(to)e(con)m(tain)g
25797 (\(at)g(least\))h(one)f(c)m(harm)h(or)f(b)s(ottom)0 3260
25798 y(pair)j(is)i(fairly)d(large,)i(most)g(of)g(these)i(hea)m(vy)g(\015a)m
25799 (v)m(ours)g(are)e(carrying)g(a)g(small)f(fraction)g(of)h(the)h(total)0
25800 3368 y Fj(p)49 3383 y Fk(?)141 3368 y Fw(\015o)m(w)g(of)f(the)h(jets,)g
25801 (and)g(therefore)g(do)f(not)h(surviv)m(e)h(normal)c(exp)s(erimen)m(tal)
25802 i(cuts.)146 3477 y(As)37 b(an)f(aside,)h(it)f(is)f(not)h(only)g(for)g
25803 (the)h(lo)m(w)m(est-order)f(graphs)h(that)f(ev)m(en)m(ts)i(ma)m(y)e(b)s
25804 (e)h(generated)0 3585 y(with)h(a)g(guaran)m(teed)h(hea)m(vy-\015a)m(v)m
25805 (our)h(con)m(ten)m(t.)62 b(One)39 b(ma)m(y)f(also)g(generate)h(the)f
25806 (\015a)m(v)m(our)i(excitation)0 3694 y(pro)s(cess)e(b)m(y)f(itself,)f
25807 (in)f(the)i(massless)g(appro)m(ximation,)e(using)h(ISUB)g(=)h(28)e(and)
25808 i(setting)f(the)g Fq(KFIN)0 3802 y Fw(arra)m(y)46 b(appropriately)-8
25809 b(.)83 b(No)46 b(tric)m(k)g(exists)h(to)f(force)g(the)h(gluon)e
25810 (splittings)f(without)i(in)m(tro)s(ducing)0 3910 y(undesirable)32
25811 b(biases,)h(ho)m(w)m(ev)m(er.)146 4019 y(The)g(cross)f(section)f(for)g
25812 (a)g(hea)m(vy)i(quark)g(pair)d(close)h(to)g(threshold)h(can)f(b)s(e)h
25813 (mo)s(di\014ed)e(according)0 4127 y(to)k(the)g(form)m(ulae)f(of)g([F)-8
25814 b(ad90)o(],)35 b(see)g Fq(MSTP\(35\))p Fw(.)50 b(Here)35
25815 b(threshold)f(e\013ects)h(due)g(to)f(Q)p 3163 4049 V(Q)f(b)s
25816 (ound-state)0 4235 y(formation)g(are)j(tak)m(en)h(in)m(to)e(accoun)m(t)
25817 h(in)f(a)h(smeared-out,)g(a)m(v)m(erage)h(sense.)55 b(Then)36
25818 b(the)h(na)-11 b(\177)-38 b(\020v)m(e)36 b(cross)0 4344
25819 y(section)24 b(is)f(m)m(ultiplied)d(b)m(y)k(the)g(squared)h(w)m(a)m(v)m
25820 (e)g(function)e(at)g(the)h(origin.)38 b(In)24 b(a)f(colour-singlet)e(c)
25821 m(hannel)0 4452 y(this)32 b(giv)m(es)h(a)g(net)g(enhancemen)m(t)h(of)e
25822 (the)h(form)768 4695 y Fn(j)p Fw(\011)872 4654 y Fl(\()p
25823 Fh(s)p Fl(\))963 4695 y Fw(\(0\))p Fn(j)1116 4654 y Fl(2)1182
25824 4695 y Fw(=)1532 4627 y Fj(X)1613 4642 y Fl(\()p Fh(s)p
25825 Fl(\))p 1296 4672 646 4 v 1296 4764 a Fw(1)22 b Fn(\000)g
25826 Fw(exp)q(\()p Fn(\000)p Fj(X)1811 4779 y Fl(\()p Fh(s)p
25827 Fl(\))1903 4764 y Fw(\))1984 4695 y Fj(;)114 b Fw(where)34
25828 b Fj(X)2488 4711 y Fl(\()p Fh(s)p Fl(\))2607 4695 y Fw(=)2721
25829 4628 y(4)p 2721 4672 49 4 v 2721 4764 a(3)2789 4628 y
25830 Fj(\031)t(\013)2910 4643 y Fl(s)p 2789 4672 153 4 v 2836
25831 4764 a Fj(\014)2985 4695 y(;)545 b Fw(\(117\))0 4952
25832 y(while)32 b(in)g(a)g(colour)f(o)s(ctet)i(c)m(hannel)g(there)g(is)f(a)h
25833 (net)g(suppression)h(giv)m(en)e(b)m(y)764 5196 y Fn(j)p
25834 Fw(\011)868 5155 y Fl(\(8\))962 5196 y Fw(\(0\))p Fn(j)1115
25835 5155 y Fl(2)1181 5196 y Fw(=)1531 5127 y Fj(X)1612 5143
25836 y Fl(\(8\))p 1294 5172 649 4 v 1294 5264 a Fw(exp)q(\()p
25837 Fn(\000)p Fj(X)1639 5279 y Fl(\(8\))1734 5264 y Fw(\))22
25838 b Fn(\000)h Fw(1)1985 5196 y Fj(;)114 b Fw(where)34 b
25839 Fj(X)2489 5211 y Fl(\(8\))2611 5196 y Fw(=)2725 5128
25840 y(1)p 2725 5172 49 4 v 2725 5264 a(6)2793 5128 y Fj(\031)t(\013)2914
25841 5143 y Fl(s)p 2793 5172 153 4 v 2840 5264 a Fj(\014)2989
25842 5196 y(:)541 b Fw(\(118\))0 5453 y(The)37 b Fj(\013)266
25843 5468 y Fl(s)334 5453 y Fw(factor)f(in)g(this)f(expression)j(is)e
25844 (related)g(to)f(the)i(energy)g(scale)g(of)e(b)s(ound-state)i
25845 (formation;)0 5561 y(it)e(is)h(selected)i(indep)s(enden)m(tly)f(from)e
25846 (the)i(one)g(of)f(the)h(standard)g(pro)s(duction)f(cross)h(section.)56
25847 b(The)0 5669 y(presence)35 b(of)d(a)g(threshold)h(factor)f(a\013ects)h
25848 (the)g(total)e(rate)i(and)f(also)g(kinematical)e(distributions.)1817
25849 5953 y(119)p eop
25850 %%Page: 120 126
25851 120 125 bop 146 -18 a Fw(Hea)m(vy)36 b(\015a)m(v)m(ours,)h(i.e.)48
25852 b(top)35 b(and)f(fourth)g(generation,)h(are)f(assumed)h(to)g(b)s(e)f
25853 (so)h(short-liv)m(ed)f(that)0 90 y(they)k(deca)m(y)h(b)s(efore)e(they)h
25854 (ha)m(v)m(e)g(time)e(to)h(hadronize.)57 b(This)37 b(means)g(that)g(the)
25855 g(ligh)m(t)f(quark)i(in)e(the)0 198 y(deca)m(y)e(Q)27
25856 b Fn(!)h Fw(W)603 162 y Fk(\006)662 198 y Fw(q)33 b(inherits)e(the)i
25857 (colour)e(of)h(the)h(hea)m(vy)h(one.)43 b(The)34 b(new)g
25858 Fm(Pythia)f Fw(description)f(rep-)0 307 y(resen)m(ts)g(a)e(c)m(hange)g
25859 (of)g(philosoph)m(y)g(compared)f(to)h(previous)g(v)m(ersions,)i(form)m
25860 (ulated)c(at)i(a)g(time)e(when)0 415 y(the)e(top)f(w)m(as)h(though)m(t)
25861 f(to)g(b)s(e)h(m)m(uc)m(h)f(ligh)m(ter)f(than)i(is)e(b)s(eliev)m(ed)i
25862 (curren)m(tly)-8 b(.)41 b(Ho)m(w)m(ev)m(er,)29 b(optionally)23
25863 b(the)0 523 y(old)34 b(description)h(ma)m(y)g(still)d(b)s(e)k(used,)h
25864 (where)f(top)f(hadrons)h(are)f(formed)f(and)h(these)i(subsequen)m(tly)0
25865 632 y(allo)m(w)m(ed)e(to)h(deca)m(y;)k(see)d Fq(MSTP\(48\))h
25866 Fw(and)e Fq(MSTP\(49\))p Fw(.)56 b(F)-8 b(or)36 b(ev)m(en)m(t)i(shap)s
25867 (es)f(the)g(di\013erence)f(b)s(et)m(w)m(een)0 740 y(the)d(t)m(w)m(o)g
25868 (time)e(orderings)i(normally)d(has)j(only)f(marginal)d(e\013ects)34
25869 b([Sj\177)-49 b(o92a)o(].)146 848 y(It)42 b(should)g(b)s(e)f(noted)h
25870 (that)g(cross)g(section)g(calculations)e(are)h(di\013eren)m(t)h(in)f
25871 (the)h(t)m(w)m(o)g(cases.)73 b(If)0 957 y(the)36 b(top)g(\(or)g(the)g
25872 (fourth)g(generation)f(fermion\))f(is)i(assumed)h(short-liv)m(ed,)f
25873 (then)g(it)f(is)h(treated)g(lik)m(e)0 1065 y(a)j(resonance)i(in)d(the)i
25874 (sense)h(of)d(section)i(7.6.2,)g(i.e.)63 b(the)40 b(cross-section)g(is)
25875 e(reduced)j(so)f(as)f(only)g(to)0 1173 y(corresp)s(ond)f(to)g(the)f(c)m
25876 (hannels)i(left)e(op)s(en)g(b)m(y)i(the)f(user.)59 b(This)38
25877 b(also)e(includes)i(the)g(restrictions)f(on)0 1282 y(secondary)f(deca)m
25878 (ys,)h(i.e.)49 b(on)34 b(the)h(deca)m(ys)i(of)d(a)g(W)1884
25879 1245 y Fl(+)1978 1282 y Fw(or)g(a)h(H)2256 1245 y Fl(+)2349
25880 1282 y Fw(pro)s(duced)h(in)e(the)g(top)h(deca)m(y)-8
25881 b(.)51 b(If)34 b(the)0 1390 y(top)28 b(is)f(allo)m(w)m(ed)g(to)g(form)f
25882 (hadrons,)k(no)d(suc)m(h)i(reduction)f(tak)m(es)h(place.)42
25883 b(Branc)m(hing)27 b(ratios)g(then)h(ha)m(v)m(e)0 1498
25884 y(to)j(b)s(e)h(folded)f(in)f(b)m(y)j(hand)f(to)f(get)g(the)h(correct)g
25885 (cross)h(sections.)43 b(The)33 b(logic)c(b)s(ehind)j(this)f
25886 (di\013erence)0 1607 y(is)37 b(that)g(if)f(hadronization)f(tak)m(es)k
25887 (place,)f(one)f(w)m(ould)g(b)s(e)h(allo)m(w)m(ed)e(e.g.)58
25888 b(to)37 b(deca)m(y)h(the)g(T)3379 1571 y Fl(0)3456 1607
25889 y Fw(and)f(T)3720 1571 y Fl(+)0 1715 y Fw(meson)f(according)f(to)h
25890 (di\013eren)m(t)g(branc)m(hing)g(ratios.)53 b(But)36
25891 b(whic)m(h)h(T)f(mesons)h(are)f(to)f(b)s(e)i(formed)e(is)0
25892 1823 y(not)25 b(kno)m(wn)h(at)f(the)g(top)g(quark)h(creation,)g(so)f
25893 (one)g(could)g(not)g(w)m(eigh)m(t)g(for)g(that.)40 b(F)-8
25894 b(or)25 b(a)f(t)h(quark)h(whic)m(h)0 1932 y(deca)m(ys)32
25895 b(rapidly)d(this)h(am)m(biguit)m(y)e(do)s(es)j(not)f(exist,)h(and)f(so)
25896 h(a)f(reduction)g(factor)f(can)i(b)s(e)f(in)m(tro)s(duced)0
25897 2040 y(directly)i(coupled)h(to)f(the)h(t)f(quark)i(pro)s(duction)e(pro)
25898 s(cess.)146 2148 y(This)g(rule)f(ab)s(out)g(cross-section)h
25899 (calculations)d(applies)i(to)g(all)e(the)j(pro)s(cesses)h(explicitly)d
25900 (set)i(up)0 2257 y(to)j(handle)f(hea)m(vy)j(\015a)m(v)m(our)f
25901 (creation.)50 b(In)35 b(addition)e(to)h(the)i(ones)g(ab)s(o)m(v)m(e,)g
25902 (this)f(means)g(all)d(the)k(ones)0 2365 y(in)c(T)-8 b(ables)32
25903 b(11{14)f(where)j(the)e(fermion)f(\014nal)h(state)g(is)g(giv)m(en)g(as)
25904 h(capital)d(letters)j(\(`Q')f(and)g(`F'\))g(and)0 2473
25905 y(also)27 b(\015a)m(v)m(ours)j(pro)s(duced)f(in)f(resonance)i(deca)m
25906 (ys)g(\(Z)1923 2437 y Fl(0)1962 2473 y Fw(,)f(W)2119
25907 2437 y Fk(\006)2179 2473 y Fw(,)g(H)2308 2437 y Fl(0)2348
25908 2473 y Fw(,)g(etc.,)h(including)c(pro)s(cesses)31 b(165)c(and)0
25909 2582 y(166\).)41 b(Ho)m(w)m(ev)m(er,)31 b(hea)m(vy)e(\015a)m(v)m(ours)g
25910 (can)e(also)g(b)s(e)h(pro)s(duced)g(in)e(a)i(pro)s(cess)g(suc)m(h)h(as)
25911 f(31,)g(q)3264 2597 y Fh(i)3293 2582 y Fw(g)g Fn(!)g
25912 Fw(q)3549 2597 y Fh(k)3592 2582 y Fw(W)3693 2546 y Fk(\006)3752
25913 2582 y Fw(,)0 2690 y(where)40 b(q)339 2705 y Fh(k)420
25914 2690 y Fw(could)e(b)s(e)h(a)f(top)g(quark.)61 b(In)39
25915 b(this)f(case,)j(the)e(thrust)g(of)f(the)g(description)g(is)g(clearly)g
25916 (on)0 2798 y(ligh)m(t)29 b(\015a)m(v)m(ours)j(|)f(the)g(kinematics)f
25917 (of)g(the)h(pro)s(cess)h(is)f(form)m(ulated)e(in)h(the)i(massless)f
25918 (fermion)e(limit)0 2907 y(|)35 b(so)h(an)m(y)g(top)g(pro)s(duction)f
25919 (is)g(purely)h(inciden)m(tal.)51 b(Since)36 b(here)g(the)g(c)m(hoice)g
25920 (of)g(scattered)h(\015a)m(v)m(our)0 3015 y(is)f(only)g(done)h(at)f(a)g
25921 (later)f(stage,)j(the)f(top)f(branc)m(hing)g(ratios)f(are)i(not)f
25922 (correctly)h(folded)e(in)h(to)g(the)0 3123 y(hard)k(scattering)g(cross)
25923 h(section.)66 b(So,)41 b(for)f(applications)e(lik)m(e)h(these,)k(it)c
25924 (is)h(not)g(recommended)g(to)0 3232 y(restrict)31 b(the)h(allo)m(w)m
25925 (ed)e(top)h(deca)m(y)i(mo)s(des.)43 b(Often)31 b(one)g(migh)m(t)f(lik)m
25926 (e)g(to)h(get)g(rid)g(of)f(the)i(p)s(ossibilit)m(y)d(of)0
25927 3340 y(pro)s(ducing)f(top)h(together)g(with)f(ligh)m(t)f(\015a)m(v)m
25928 (ours.)44 b(This)28 b(can)h(b)s(e)g(done)h(b)m(y)f(switc)m(hing)g
25929 (o\013)f(\(i.e.)42 b(setting)0 3448 y Fq(MDME\(I,1\)=0)p
25930 Fw(\))d(the)d(`c)m(hannels')h(d)c Fn(!)g Fw(W)1581 3412
25931 y Fk(\000)1641 3448 y Fw(t,)k(s)c Fn(!)g Fw(W)2048 3412
25932 y Fk(\000)2108 3448 y Fw(t,)k(b)c Fn(!)g Fw(W)2531 3412
25933 y Fk(\000)2591 3448 y Fw(t,)j(g)f Fn(!)e Fw(t)p 2947
25934 3377 38 4 v(t)j(and)g Fj(\015)i Fn(!)33 b Fw(t)p 3474
25935 3377 V(t.)53 b(Also)0 3557 y(an)m(y)31 b(hea)m(vy)g(\015a)m(v)m(ours)g
25936 (pro)s(duced)g(b)m(y)g(parton)f(sho)m(w)m(er)h(ev)m(olution)f(w)m(ould)
25937 f(not)h(b)s(e)g(correctly)h(w)m(eigh)m(ted)0 3665 y(in)m(to)37
25938 b(the)h(cross)g(section.)59 b(Ho)m(w)m(ev)m(er,)41 b(curren)m(tly)d
25939 (top)f(pro)s(duction)g(is)g(switc)m(hed)i(o\013)e(in)g(b)s(oth)g
25940 (initial)0 3774 y(\(see)d Fq(KFIN)f Fw(arra)m(y\))g(and)g(\014nal)e
25941 (\(see)j Fq(MSTJ\(45\))p Fw(\))h(state)e(radiation.)0
25942 4021 y Fo(8.2.3)112 b(J/)p Fj( )0 4194 y Fw(ISUB)33 b(=)99
25943 4290 y(86)99 b(gg)28 b Fn(!)g Fw(J)p Fj(= )t Fw(g)99
25944 4411 y(87)99 b(gg)28 b Fn(!)g Fj(\037)611 4426 y Fl(0c)682
25945 4411 y Fw(g)99 4531 y(88)99 b(gg)28 b Fn(!)g Fj(\037)611
25946 4546 y Fl(1c)682 4531 y Fw(g)99 4651 y(89)99 b(gg)28
25947 b Fn(!)g Fj(\037)611 4666 y Fl(2c)682 4651 y Fw(g)50
25948 4772 y(106)99 b(gg)28 b Fn(!)g Fw(J)p Fj(= )t(\015)50
25949 4892 y Fw(107)99 b(g)q Fj(\015)33 b Fn(!)27 b Fw(J)p
25950 Fj(= )t Fw(g)50 5012 y(108)99 b Fj(\015)5 b(\015)32 b
25951 Fn(!)c Fw(J)p Fj(= )t(\015)146 5128 y Fw(One)33 b(ma)m(y)g(distinguish)
25952 e(three)i(main)e(sources)j(of)e(J)p Fj(= )37 b Fw(pro)s(duction.)119
25953 5241 y(1.)49 b(Deca)m(ys)34 b(of)e(B)g(mesons)h(and)g(bary)m(ons.)119
25954 5359 y(2.)49 b(P)m(arton-sho)m(w)m(er)26 b(ev)m(olution,)g(wherein)g(a)
25955 e(c)i(and)f(a)p 2077 5306 44 4 v 24 w(c)h(quark)f(pro)s(duced)h(in)e
25956 (adjacen)m(t)i(branc)m(hings)244 5467 y(\(e.g.)66 b(g)42
25957 b Fn(!)e Fw(gg)h Fn(!)f Fw(c)p 1047 5414 V(c)q(c)p 1134
25958 5414 V(c)q(\))g(turn)g(out)g(to)g(ha)m(v)m(e)h(so)g(small)c(an)j(in)m
25959 (v)-5 b(arian)m(t)39 b(mass)h(that)g(the)h(pair)244 5575
25960 y(collapses)32 b(to)g(a)h(single)e(particle.)1817 5953
25961 y(120)p eop
25962 %%Page: 121 127
25963 121 126 bop 119 -18 a Fw(3.)49 b(Direct)37 b(pro)s(duction,)j(where)f
25964 (a)f(c)h(quark)g(lo)s(op)e(giv)m(es)i(a)f(coupling)f(b)s(et)m(w)m(een)k
25965 (a)d(set)h(of)f(gluons)244 90 y(and)29 b(a)g(c)p 551
25966 37 44 4 v(c)g(b)s(ound)h(state.)42 b(Higher-lying)27
25967 b(states,)k(lik)m(e)d(the)h Fj(\037)2453 105 y Fh(c)2517
25968 90 y Fw(ones,)i(ma)m(y)d(subsequen)m(tly)k(deca)m(y)244
25969 198 y(to)g(J)p Fj(= )t Fw(.)146 311 y(In)f(this)g(section)g(are)f(giv)m
25970 (en)h(the)g(main)e(pro)s(cesses)k(for)d(the)i(third)e(source,)i(in)m
25971 (tended)f(for)g(applica-)0 420 y(tions)i(at)g(hadron)h(colliders)e(at)h
25972 (non-v)-5 b(anishing)32 b(transv)m(erse)j(momen)m(ta)e(|)g(in)g(the)h
25973 (limit)29 b(of)34 b Fj(p)3514 435 y Fk(?)3602 420 y Fn(!)29
25974 b Fw(0)0 528 y(it)e(is)g(necessary)j(to)d(include)g(a)g(n)m(um)m(b)s
25975 (er)h(of)f(2)g Fn(!)h Fw(1)f(pro)s(cesses)j(and)d(to)h(regularize)e
25976 (div)m(ergences)j(in)e(the)0 636 y(2)g Fn(!)h Fw(2)h(graphs)h(ab)s(o)m
25977 (v)m(e.)43 b(The)31 b(cross)f(sections)g(dep)s(end)h(on)e(w)m(a)m(v)m
25978 (e)j(function)d(v)-5 b(alues)29 b(at)g(the)h(origin,)e(see)0
25979 745 y Fq(PARP\(38\))j Fw(and)e Fq(PARP\(39\))p Fw(.)44
25980 b(A)29 b(review)g(of)f(the)h(ph)m(ysics)h(issues)g(in)m(v)m(olv)m(ed)f
25981 (ma)m(y)g(b)s(e)g(found)f(in)g([Glo88)n(])0 853 y(\(note,)33
25982 b(ho)m(w)m(ev)m(er,)i(that)d(the)h(c)m(hoice)g(of)f Fj(Q)1540
25983 817 y Fl(2)1612 853 y Fw(scale)h(is)f(di\013eren)m(t)h(in)f
25984 Fm(Pythia)p Fw(\).)0 1101 y Fo(8.2.4)112 b(Minim)m(um)36
25985 b(bias)0 1273 y Fq(MSEL)e Fw(=)e(1,)g(2)0 1382 y(ISUB)h(=)50
25986 1478 y(91)99 b(elastic)32 b(scattering)50 1598 y(92)99
25987 b(single)32 b(di\013raction)e(\()p Fj(AB)j Fn(!)27 b
25988 Fj(X)8 b(B)d Fw(\))50 1719 y(93)99 b(single)32 b(di\013raction)e(\()p
25989 Fj(AB)j Fn(!)27 b Fj(AX)8 b Fw(\))50 1839 y(94)99 b(double)32
25990 b(di\013raction)50 1959 y(95)99 b(lo)m(w-)p Fj(p)473
25991 1974 y Fk(?)564 1959 y Fw(pro)s(duction)146 2069 y(These)25
25992 b(pro)s(cesses)g(are)e(brie\015y)h(discussed)g(in)f(section)g(7.7.)40
25993 b(Curren)m(tly)24 b(they)g(are)f(mainly)e(in)m(tended)0
25994 2178 y(for)35 b(in)m(teractions)g(b)s(et)m(w)m(een)i(hadrons,)g
25995 (although)d(one)i(ma)m(y)f(also)g(consider)h Fj(\015)5
25996 b Fw(p)35 b(in)m(teractions)g(in)g(the)0 2286 y(option)k(where)j(the)e
25997 (incoming)e(photon)j(is)f(assumed)h(resolv)m(ed,)i Fq(MSTP\(14\)=1)g
25998 Fw(or)d Fq(=2)p Fw(.)67 b(A)40 b(p)s(ossible)0 2394 y(extension)33
25999 b(to)g Fj(\015)5 b(\015)37 b Fw(in)m(teractions)32 b(is)g(not)h(y)m(et)
26000 g(a)m(v)-5 b(ailable.)146 2503 y(Uncertain)m(ties)37
26001 b(come)g(from)f(a)g(n)m(um)m(b)s(er)i(of)e(sources,)k(e.g.)57
26002 b(from)35 b(the)j(parametrizations)d(of)h(the)0 2611
26003 y(v)-5 b(arious)32 b(cross)h(sections)h(and)e(slop)s(e)g(parameters.)
26004 146 2720 y(In)23 b(di\013ractiv)m(e)f(scattering,)j(the)e(structure)h
26005 (of)e(the)h(selected)h(hadronic)e(system)i(ma)m(y)e(b)s(e)h(regulated)0
26006 2828 y(with)32 b Fq(MSTP\(101\))p Fw(.)46 b(No)32 b(high-)p
26007 Fj(p)1175 2843 y Fk(?)1266 2828 y Fw(jet)g(pro)s(duction)g(in)g
26008 (di\013ractiv)m(e)g(ev)m(en)m(ts)j(is)d(included)g(so)h(far.)146
26009 2936 y(The)f(subpro)s(cess)g(95,)e(lo)m(w-)p Fj(p)1210
26010 2951 y Fk(?)1299 2936 y Fw(ev)m(en)m(ts,)j(is)d(somewhat)h(unique)f(in)
26011 g(that)g(no)g(meaningful)f(ph)m(ysical)0 3045 y(b)s(order-line)k(to)h
26012 (high-)p Fj(p)886 3060 y Fk(?)979 3045 y Fw(ev)m(en)m(ts)j(can)e(b)s(e)
26013 f(de\014ned.)52 b(Ev)m(en)36 b(if)d(the)i(QCD)g(2)c Fn(!)g
26014 Fw(2)j(high-)p Fj(p)3298 3060 y Fk(?)3390 3045 y Fw(pro)s(cesses)0
26015 3153 y(are)h(formally)d(switc)m(hed)k(o\013,)f(some)g(of)f(the)h
26016 (generated)h(ev)m(en)m(ts)h(will)32 b(b)s(e)j(classi\014ed)g(as)g(b)s
26017 (elonging)e(to)0 3261 y(this)26 b(group,)i(with)e(a)h
26018 Fj(p)824 3276 y Fk(?)909 3261 y Fw(sp)s(ectrum)g(of)f(in)m(teractions)g
26019 (to)h(matc)m(h)f(the)h(`minim)m(um-bias')c(ev)m(en)m(t)28
26020 b(sample.)0 3370 y(Only)34 b(with)h(the)g(option)e Fq(MSTP\(82\)=0)38
26021 b Fw(will)32 b(subpro)s(cess)37 b(95)d(yield)g(strictly)g(lo)m(w-)p
26022 Fj(p)3098 3385 y Fk(?)3191 3370 y Fw(ev)m(en)m(ts,)j(ev)m(en)m(ts)0
26023 3478 y(whic)m(h)i(will)e(then)i(probably)f(not)h(b)s(e)g(compatible)d
26024 (with)j(an)m(y)g(exp)s(erimen)m(tal)f(data.)61 b(A)39
26025 b(n)m(um)m(b)s(er)g(of)0 3586 y(options)34 b(exist)i(for)e(the)h
26026 (detailed)f(structure)i(of)f(lo)m(w-)p Fj(p)2030 3601
26027 y Fk(?)2123 3586 y Fw(ev)m(en)m(ts,)j(see)e(in)e(particular)f
26028 Fq(MSTP\(81\))k Fw(and)0 3695 y Fq(MSTP\(82\))p Fw(.)46
26029 b(F)-8 b(urther)33 b(details)f(on)g(the)h(mo)s(del\(s\))f(for)g(minim)m
26030 (um-bias)d(ev)m(en)m(ts)35 b(are)d(found)h(in)f(section)0
26031 3803 y(11.2.)0 4077 y Fp(8.3)135 b(Electro)l(w)l(eak)48
26032 b(Gauge)d(Bosons)0 4250 y Fw(This)27 b(section)g(co)m(v)m(ers)i(the)f
26033 (pro)s(duction)e(and/or)h(exc)m(hange)h(of)f Fj(\015)5
26034 b Fw(,)28 b(Z)2483 4213 y Fl(0)2549 4250 y Fw(and)f(W)2834
26035 4213 y Fk(\006)2921 4250 y Fw(gauge)g(b)s(osons,)h(singly)0
26036 4358 y(and)g(in)g(pairs.)42 b(The)29 b(topic)f(of)f(longitudinal)e
26037 (gauge-b)s(oson)j(scattering)g(at)g(high)g(energies)h(is)e(deferred)0
26038 4466 y(to)i(the)i(Higgs)d(section,)j(since)f(the)g(presence)i(or)e
26039 (absence)h(of)e(a)h(Higgs)f(here)h(mak)m(es)g(a)g(big)f(di\013erence.)0
26040 4714 y Fo(8.3.1)112 b(Prompt)36 b(photon)i(pro)s(duction)0
26041 4887 y Fq(MSEL)c Fw(=)e(10)0 4995 y(ISUB)h(=)99 5091
26042 y(14)99 b(q)347 5106 y Fh(i)p 375 5038 52 4 v 375 5091
26043 a Fw(q)427 5115 y Fh(i)483 5091 y Fn(!)27 b Fw(g)q Fj(\015)99
26044 5212 y Fw(18)99 b(f)326 5227 y Fh(i)p 354 5132 37 4 v
26045 354 5212 a Fw(f)391 5227 y Fh(i)446 5212 y Fn(!)28 b
26046 Fj(\015)5 b(\015)99 5332 y Fw(29)99 b(q)347 5347 y Fh(i)375
26047 5332 y Fw(g)29 b Fn(!)f Fw(q)632 5347 y Fh(i)660 5332
26048 y Fj(\015)50 5452 y Fw(114)99 b(gg)28 b Fn(!)g Fj(\015)5
26049 b(\015)50 5573 y Fw(115)99 b(gg)28 b Fn(!)g Fw(g)q Fj(\015)1817
26050 5953 y Fw(121)p eop
26051 %%Page: 122 128
26052 122 127 bop 146 -18 a Fw(In)46 b(hadron)f(colliders,)i(pro)s(cesses)g
26053 (ISUB)f(=)f(14)g(and)g(29)g(giv)m(e)g(the)g(main)f(source)i(of)f
26054 (single-)p Fj(\015)0 90 y Fw(pro)s(duction,)27 b(with)e(ISUB)i(=)f(115)
26055 f(giving)f(an)i(additional)d(con)m(tribution)i(whic)m(h,)j(in)e(some)f
26056 (kinematics)0 198 y(regions,)36 b(ma)m(y)g(b)s(ecome)g(imp)s(ortan)m
26057 (t.)52 b(F)-8 b(or)35 b Fj(\015)5 b Fw(-pair)34 b(pro)s(duction,)j(the)
26058 f(pro)s(cess)h(ISUB)g(=)f(18)f(is)g(often)0 307 y(o)m(v)m(ershado)m(w)m
26059 (ed)h(in)31 b(imp)s(ortance)h(b)m(y)h(ISUB)g(=)g(114.)146
26060 415 y(Another)38 b(source)h(of)e(photons)h(is)g(bremsstrahlung)f(o\013)
26061 g(incoming)f(or)h(outgoing)f(quarks.)60 b(This)0 523
26062 y(has)32 b(to)g(b)s(e)g(treated)g(on)g(an)g(equal)f(fo)s(oting)f(with)i
26063 (QCD)f(parton)h(sho)m(w)m(ering.)44 b(F)-8 b(or)31 b(time-lik)m(e)e
26064 (parton-)0 632 y(sho)m(w)m(er)36 b(ev)m(olution,)d(i.e.)47
26065 b(in)33 b(the)h(\014nal-state)f(sho)m(w)m(ering)i(and)f(in)f(the)h
26066 (side)g(branc)m(hes)i(of)d(the)i(initial-)0 740 y(state)46
26067 b(sho)m(w)m(ering,)51 b(photon)46 b(emission)f(ma)m(y)h(b)s(e)g(switc)m
26068 (hed)h(on)f(or)g(o\013)g(with)f Fq(MSTJ\(41\))p Fw(.)86
26069 b(Photon)0 848 y(radiation)43 b(o\013)i(the)h(space-lik)m(e)f(incoming)
26070 e(quark)j(legs)f(is)g(not)g(y)m(et)h(included,)j(but)c(should)g(b)s(e)h
26071 (of)0 957 y(lesser)28 b(imp)s(ortance)e(for)g(pro)s(duction)h(at)g
26072 (reasonably)g(large)f Fj(p)2273 972 y Fk(?)2359 957 y
26073 Fw(v)-5 b(alues.)42 b(Radiation)25 b(o\013)i(an)g(incoming)0
26074 1065 y(electron)33 b(is)f(included)g(in)g(a)g(leading-log)d(appro)m
26075 (ximation.)146 1173 y Fo(W)-9 b(arning:)39 b Fw(the)25
26076 b(cross)h(sections)g(for)e(the)h(b)s(o)m(x)g(graphs)g(114)f(and)h(115)f
26077 (b)s(ecome)h(v)m(ery)h(complicated,)0 1282 y(n)m(umerically)21
26078 b(unstable)i(and)g(slo)m(w)g(when)h(the)g(full)d(quark)j(mass)f(dep)s
26079 (endence)i(is)e(included.)39 b(F)-8 b(or)23 b(quark)0
26080 1390 y(masses)46 b(m)m(uc)m(h)f(b)s(elo)m(w)g(the)k(^)-53
26081 b Fj(s)44 b Fw(scale,)k(the)e(simpli\014ed)c(massless)k(expressions)g
26082 (are)f(therefore)g(used)0 1498 y(|)d(a)h(fairly)d(accurate)k(appro)m
26083 (ximation.)71 b(Ho)m(w)m(ev)m(er,)48 b(there)43 b(is)g(another)f(set)i
26084 (of)e(subtle)h(n)m(umerical)0 1607 y(cancellations)i(b)s(et)m(w)m(een)j
26085 (di\013eren)m(t)e(terms)g(in)f(the)i(massiv)m(e)f(matrix)f(elemen)m(ts)
26086 h(in)f(the)i(region)e(of)0 1715 y(small-angle)39 b(scattering.)74
26087 b(The)44 b(asso)s(ciated)f(problems)f(ha)m(v)m(e)i(not)e(b)s(een)i
26088 (sorted)f(out)g(y)m(et.)75 b(There)0 1823 y(are)44 b(therefore)h(t)m(w)
26089 m(o)f(p)s(ossible)f(solutions.)77 b(One)44 b(is)g(to)f(use)i(the)g
26090 (massless)f(form)m(ulae)f(throughout.)0 1932 y(The)30
26091 b(program)e(then)i(b)s(ecomes)g(faster)g(and)f(n)m(umerically)f
26092 (stable,)h(but)h(do)s(es)g(not)f(giv)m(e,)h(for)f(example,)0
26093 2040 y(the)49 b(c)m(haracteristic)f(dip)g(\(due)i(to)e(destructiv)m(e)i
26094 (in)m(terference\))g(at)e(top)g(threshold.)92 b(This)49
26095 b(is)f(the)0 2148 y(curren)m(t)40 b(default)d(pro)s(cedure,)k(with)d
26096 (\014v)m(e)i(\015a)m(v)m(ours)g(assumed,)g(but)f(this)f(n)m(um)m(b)s
26097 (er)h(can)g(b)s(e)f(c)m(hanged)0 2257 y(in)c Fq(MSTP\(38\))p
26098 Fw(.)51 b(The)35 b(other)f(p)s(ossibilit)m(y)f(is)h(to)g(imp)s(ose)f
26099 (cuts)i(on)f(the)h(scattering)f(angle)g(of)g(the)g(hard)0
26100 2365 y(pro)s(cess,)46 b(see)e Fq(CKIN\(27\))g Fw(and)f
26101 Fq(CKIN\(28\))p Fw(,)k(since)c(the)g(n)m(umerically)d(unstable)j
26102 (regions)f(are)g(when)0 2488 y Fn(j)17 b Fw(cos)199 2462
26103 y(^)191 2488 y Fj(\022)t Fn(j)32 b Fw(is)g(close)h(to)f(unit)m(y)-8
26104 b(.)43 b(It)33 b(is)f(then)h(also)f(necessary)j(to)d(c)m(hange)h
26105 Fq(MSTP\(38\))i Fw(to)d(0.)0 2736 y Fo(8.3.2)112 b(Photopro)s(duction)
26106 37 b(and)h Fj(\015)5 b(\015)43 b Fo(ph)m(ysics)0 2909
26107 y Fq(MSEL)34 b Fw(=)e(1,)g(2,)h(4,)f(5,)h(6,)f(7,)g(8)0
26108 3017 y(ISUB)h(=)50 3113 y(33)99 b(q)298 3128 y Fh(i)327
26109 3113 y Fj(\015)32 b Fn(!)c Fw(q)589 3128 y Fh(i)617 3113
26110 y Fw(g)50 3234 y(34)99 b(f)277 3249 y Fh(i)305 3234 y
26111 Fj(\015)33 b Fn(!)27 b Fw(f)546 3249 y Fh(i)574 3234
26112 y Fj(\015)50 3354 y Fw(54)99 b(g)q Fj(\015)33 b Fn(!)27
26113 b Fw(q)559 3369 y Fh(k)p 602 3301 52 4 v 602 3354 a Fw(q)654
26114 3377 y Fh(k)50 3474 y Fw(58)99 b Fj(\015)5 b(\015)33
26115 b Fn(!)27 b Fw(f)544 3489 y Fh(k)p 586 3395 37 4 v 586
26116 3474 a Fw(f)623 3489 y Fh(k)50 3595 y Fw(80)99 b(q)298
26117 3610 y Fh(i)327 3595 y Fj(\015)32 b Fn(!)c Fw(q)589 3610
26118 y Fh(k)632 3595 y Fj(\031)691 3559 y Fk(\006)50 3715
26119 y Fw(84)99 b(g)q Fj(\015)33 b Fn(!)27 b Fw(Q)584 3730
26120 y Fh(k)p 627 3637 76 4 v 627 3715 a Fw(Q)703 3739 y Fh(k)50
26121 3835 y Fw(85)99 b Fj(\015)5 b(\015)33 b Fn(!)27 b Fw(F)578
26122 3850 y Fh(k)p 620 3757 64 4 v 620 3835 a Fw(F)684 3850
26123 y Fh(k)146 3951 y Fw(An)j(\(almost\))d(real)h(photon)h(has)h(b)s(oth)f
26124 (a)f(p)s(oin)m(t-lik)m(e)g(comp)s(onen)m(t)h(and)g(a)g(hadron-lik)m(e)f
26125 (one.)42 b(This)0 4059 y(means)33 b(that)f(sev)m(eral)h(classes)h(of)e
26126 (pro)s(cesses)j(ma)m(y)d(b)s(e)h(distinguished,)f(see)h(section)g
26127 (7.7.2.)119 4172 y(1.)49 b(The)41 b(pro)s(cesses)h(listed)e(ab)s(o)m(v)
26128 m(e)h(are)f(p)s(ossible)g(when)h(the)g(photon)f(in)m(teracts)h(as)f(a)g
26129 (p)s(oin)m(t-lik)m(e)244 4281 y(particle,)31 b(i.e.)43
26130 b(couples)33 b(directly)f(to)g(quarks)i(and)f(leptons.)119
26131 4399 y(2.)49 b(When)43 b(the)h(photon)e(acts)h(lik)m(e)f(a)h(hadron,)i
26132 (i.e.)73 b(is)42 b(resolv)m(ed)i(in)e(a)g(partonic)g(substructure,)244
26133 4507 y(then)d(high-)p Fj(p)739 4522 y Fk(?)835 4507 y
26134 Fw(parton{parton)f(in)m(teractions)f(are)i(p)s(ossible,)g(as)f(already)
26135 g(describ)s(ed)h(in)f(sec-)244 4615 y(tions)32 b(8.2.1)g(and)h(8.3.1.)
26136 43 b(These)35 b(in)m(teractions)d(ma)m(y)g(b)s(e)h(further)g(sub)s
26137 (divided)g(in)m(to)f(VMD)g(and)244 4724 y(anomalous)f(ones)i([Sc)m(h93)
26138 q(,)f(Sc)m(h93a)q(].)119 4841 y(3.)49 b(A)25 b(hadron-lik)m(e)f(photon)
26139 g(can)h(also)f(pro)s(duce)i(the)f(equiv)-5 b(alen)m(t)25
26140 b(of)f(the)i(minim)m(um)21 b(bias)j(pro)s(cesses)244
26141 4950 y(of)32 b(section)h(8.2.4.)146 5063 y(F)-8 b(or)23
26142 b Fj(\015)5 b Fw(p)23 b(ev)m(en)m(ts,)k(w)m(e)d(b)s(eliev)m(e)f(that)g
26143 (the)h(b)s(est)g(description)e(can)i(b)s(e)f(obtained)g(when)h(three)g
26144 (separate)0 5171 y(ev)m(en)m(t)39 b(classes)f(are)f(com)m(bined,)h(one)
26145 g(for)e(direct,)i(one)g(for)e(VMD)h(and)h(one)f(for)g(anomalous)e(ev)m
26146 (en)m(ts,)0 5279 y(see)j(the)g(detailed)f(description)f(in)h([Sc)m(h93)
26147 q(,)g(Sc)m(h93a].)58 b(These)39 b(corresp)s(ond)g(to)e
26148 Fq(MSTP\(14\))i Fw(b)s(eing)e(0,)0 5388 y(2)45 b(and)f(3,)k(resp)s
26149 (ectiv)m(ely)-8 b(.)81 b(The)46 b(direct)e(and)h(anomalous)e(comp)s
26150 (onen)m(ts)j(are)f(high-)p Fj(p)3207 5403 y Fk(?)3309
26151 5388 y Fw(only)-8 b(,)47 b(while)0 5496 y(VMD)40 b(con)m(tains)g(b)s
26152 (oth)f(high-)p Fj(p)1171 5511 y Fk(?)1269 5496 y Fw(and)h(lo)m(w-)p
26153 Fj(p)1692 5511 y Fk(?)1790 5496 y Fw(ev)m(en)m(ts.)67
26154 b(The)41 b(option)e Fq(MSTP\(14\)=1)j Fw(com)m(bines)e(the)0
26155 5604 y(VMD)32 b(and)g(anomalous)f(parts)h(of)f(the)i(photon)f(in)m(to)f
26156 (one)i(single)e(resolv)m(ed)i(photon)f(concept,)h(whic)m(h)1817
26157 5953 y(122)p eop
26158 %%Page: 123 129
26159 123 128 bop 0 -18 a Fw(therefore)33 b(is)f(less)h(precise)g(than)g(the)
26160 g(full)e(sub)s(division.)146 90 y(When)40 b(com)m(bining)d(three)j
26161 (runs)g(to)e(obtain)g(the)i(totalit)m(y)d(of)h Fj(\015)5
26162 b Fw(p)39 b(in)m(teractions,)h(to)f(the)g(b)s(est)h(of)0
26163 198 y(our)29 b(kno)m(wledge,)i(it)e(is)g(necessary)j(to)d(c)m(ho)s(ose)
26164 h(the)g Fj(p)1921 213 y Fk(?)2009 198 y Fw(cut-o\013s)g(with)f(some)g
26165 (care,)i(so)f(as)f(to)g(represen)m(t)0 307 y(the)k(exp)s(ected)h(total)
26166 d(cross)j(section.)145 420 y Fn(\017)49 b Fw(The)64 b(direct)e(pro)s
26167 (cesses)j(only)d(dep)s(end)i(on)f(the)g Fq(CKIN\(3\))i
26168 Fw(cut-o\013)d(of)h(the)g(generation,)244 528 y(with)50
26169 b(preferred)i(v)-5 b(alue)49 b(0.5)i(GeV)f([Sc)m(h93)q(,)g(Sc)m(h93a)q
26170 (].)97 b(Since)51 b(this)f(v)-5 b(alue)50 b(is)g(so)h(lo)m(w,)j(one)244
26171 636 y(m)m(ust)k(remem)m(b)s(er)g(to)f(reduce)i(a)f(few)h(other)f
26172 (defaults)f(v)-5 b(alues:)95 b Fq(CKIN\(1\)=2.*CKIN\(3\))p
26173 Fw(,)244 745 y Fq(CKIN\(5\)=CKIN\(6\)=0.5*CKIN\()q(3\))p
26174 Fw(.)48 b(F)-8 b(or)26 b(the)h(same)g(reason)h(it)e(is)g(recommended)h
26175 (to)g(include)244 853 y(a)32 b(damp)s(ening)f(of)i(proton)f(parton)g
26176 (distributions,)f Fq(MSTP\(57\)=2)p Fw(.)145 971 y Fn(\017)49
26177 b Fw(The)40 b(VMD)f(pro)s(cesses)i(w)m(ork)e(as)h(ordinary)e
26178 (hadron{hadron)h(ones,)i(i.e.)62 b(one)39 b(obtains)g(b)s(oth)244
26179 1079 y(lo)m(w-)22 b(and)i(high-)p Fj(p)891 1094 y Fk(?)972
26180 1079 y Fw(ev)m(en)m(ts)i(b)m(y)f(default,)f(with)g(dividing)d(line)h
26181 (set)j(b)m(y)h Fq(PARP\(81\))f Fw(\(or)e Fq(PARP\(82\))p
26182 Fw(,)244 1187 y(dep)s(ending)33 b(on)f(minijet)e(unitarization)g(sc)m
26183 (heme\).)145 1305 y Fn(\017)49 b Fw(F)-8 b(or)48 b(the)h(anomalous,)i
26184 (\014nally)-8 b(,)51 b(the)e(minimal)44 b Fj(p)2111 1320
26185 y Fk(?)2219 1305 y Fw(of)k(the)h Fj(\015)60 b Fn(!)55
26186 b Fw(q)p 2847 1252 52 4 v(q)49 b(branc)m(hing)g(is)f(set)h(in)244
26187 1414 y Fq(PARP\(15\))p Fw(.)54 b(The)36 b(default)e(is)h(0.5)g(GeV,)g
26188 (in)g(agreemen)m(t)g(with)g(the)h(recommended)g(cuto\013)f(for)244
26189 1522 y(the)29 b(same)g(v)m(ertex)i(in)e(direct)f(pro)s(ccesses.)45
26190 b(In)30 b(addition,)e(a)g(lo)m(w)m(er)i Fq(CKIN\(3\))h
26191 Fw(cut-o\013)d(should)h(b)s(e)244 1630 y(selected)37
26192 b(for)e(the)i(hard)f(in)m(teractions.)53 b(This)36 b(needs)i(some)e
26193 (\014ne-tuning,)g(whic)m(h)h(in)e(principle)244 1739
26194 y(should)e(b)s(e)h(done)h(separately)f(for)f(eac)m(h)h(c.m.)47
26195 b(energy)-8 b(.)48 b(A)34 b(go)s(o)s(d)e(\014rst)j(appro)m(ximation)c
26196 (in)i(the)244 1847 y(HERA)g(energy)g(range)g(\(but)g(not)f(b)s(ey)m
26197 (ond)i(300)e(GeV\))g(is)g Fq(CKIN\(3\))p Fw(=)e(1)p Fj(:)p
26198 Fw(50)21 b(+)h(0)p Fj(:)p Fw(0035)17 b Fj(E)3524 1862
26199 y Fl(cm)3617 1847 y Fw(.)146 1960 y(The)35 b(pro)s(cesses)g(in)e(p)s
26200 (oin)m(ts)g(1)h(and)f(2)h(can)f(b)s(e)h(sim)m(ulated)e(either)i(with)f
26201 (a)g(photon)h(b)s(eam)f(or)g(with)0 2068 y(an)k(electron)g(b)s(eam.)56
26202 b(F)-8 b(or)36 b(a)h(photon)g(b)s(eam)f(it)g(is)h(necessary)i(to)e(use)
26203 h(option)e Fq(MSTP\(14\))j Fw(to)e(switc)m(h)0 2177 y(b)s(et)m(w)m(een)
26204 f(a)e(p)s(oin)m(t-lik)m(e)f(and)h(a)g(resolv)m(ed)i(photon)e(|)g(it)f
26205 (is)h(not)g(p)s(ossible)g(to)g(sim)m(ulate)e(the)j(t)m(w)m(o)g(sets)0
26206 2285 y(of)i(pro)s(cesses)i(in)d(a)h(single)f(run.)57
26207 b(An)37 b(electron)g(b)m(y)h(default)e(is)h(assumed)g(to)g(con)m(tain)g
26208 (photons,)h(but)0 2393 y(this)28 b(can)g(b)s(e)g(switc)m(hed)h(o\013)f
26209 (b)m(y)i Fq(MSTP\(11\)=0)p Fw(.)44 b(T)-8 b(o)28 b(ha)m(v)m(e)i(quark)e
26210 (and)g(gluon)f(distributions)g(inside)g(the)0 2502 y(photon)36
26211 b(\(itself)f(inside)h(the)h(electron\),)g Fq(MSTP\(12\)=1)i
26212 Fw(m)m(ust)d(b)s(e)h(used.)56 b(F)-8 b(or)35 b(the)i(electron,)g(the)g
26213 (t)m(w)m(o)0 2610 y(kinds)i(of)g(pro)s(cesses)i(ma)m(y)e(b)s(e)g
26214 (generated)h(together,)h(unlik)m(e)d(for)h(the)g(photon.)63
26215 b(It)39 b(is)f(not)h(p)s(ossible)0 2718 y(to)k(ha)m(v)m(e)h(also)e(the)
26216 h(lo)m(w-)p Fj(p)975 2733 y Fk(?)1076 2718 y Fw(ph)m(ysics)i
26217 (\(including)c(m)m(ultiple)g(in)m(teractions)h(in)g(high-)p
26218 Fj(p)3218 2733 y Fk(?)3319 2718 y Fw(ev)m(en)m(ts\))j(for)0
26219 2827 y(an)e(electron)h(b)s(eam.)75 b(Kindly)42 b(note)i(that)f(subpro)s
26220 (cess)i(34)e(con)m(tains)h(b)s(oth)f(the)g(scattering)h(of)f(an)0
26221 2935 y(electron)37 b(o\013)g(a)g(photon)h(and)f(the)h(scattering)f(of)g
26222 (a)g(quark)h(\(inside)e(a)h(photon)h(inside)e(an)i(electron\))0
26223 3043 y(o\013)32 b(a)g(photon;)h(the)g(former)f(can)h(b)s(e)f(switc)m
26224 (hed)i(o\013)e(with)h(the)g(help)f(of)g(the)h Fq(KFIN)h
26225 Fw(arra)m(y)-8 b(.)146 3152 y(If)33 b(y)m(ou)g(are)f(only)g(concerned)i
26226 (with)e(standard)h(QCD)f(ph)m(ysics,)j(the)d(option)g
26227 Fq(MSTP\(14\)=10)j Fw(giv)m(es)0 3260 y(an)h(automatic)e(mixture)i(of)g
26228 (the)g(VMD,)h(direct)f(and)g(anomalous)f(ev)m(en)m(t)j(classes.)55
26229 b(The)37 b(mixture)f(is)0 3368 y(prop)s(erly)k(giv)m(en)h(according)f
26230 (to)g(the)h(relativ)m(e)f(cross)i(sections.)68 b(Whenev)m(er)43
26231 b(p)s(ossible,)f(this)f(option)0 3477 y(is)36 b(therefore)h
26232 (preferrable)f(in)g(terms)h(of)f(user-friendliness.)55
26233 b(Ho)m(w)m(ev)m(er,)40 b(it)35 b(can)i(only)f(w)m(ork)h(b)s(ecause)0
26234 3585 y(of)j(a)h(completely)f(new)i(la)m(y)m(er)f(of)f(administration,)g
26235 (not)h(found)g(an)m(ywhere)i(else)e(in)f Fm(Pythia)p
26236 Fw(.)69 b(F)-8 b(or)0 3694 y(instance,)34 b(a)f(subpro)s(cess)i(lik)m
26237 (e)d(qg)e Fn(!)f Fw(qg)34 b(is)f(allo)m(w)m(ed)f(in)h(sev)m(eral)g(of)g
26238 (the)h(classes,)g(but)f(app)s(ears)h(with)0 3802 y(di\013eren)m(t)42
26239 b(sets)h(of)e(parton)g(distributions)f(and)i(di\013eren)m(t)g
26240 Fj(p)2258 3817 y Fk(?)2358 3802 y Fw(cut-o\013s)g(in)f(eac)m(h)i(of)e
26241 (these,)k(so)d(that)0 3910 y(it)36 b(is)h(necessary)i(to)e(switc)m(h)h
26242 (gears)f(b)s(et)m(w)m(een)j(eac)m(h)e(ev)m(en)m(t)h(in)d(the)i
26243 (generation.)56 b(It)37 b(is)g(therefore)h(not)0 4019
26244 y(p)s(ossible)32 b(to)g(a)m(v)m(oid)h(a)f(n)m(um)m(b)s(er)h(of)f
26245 (restrictions)g(on)g(what)h(y)m(ou)h(can)e(do)h(in)f(this)g(case:)145
26246 4132 y Fn(\017)49 b Fw(The)38 b Fq(MSTP\(14\)=10)j Fw(option)36
26247 b(can)i(only)f(b)s(e)h(used)h(for)e(incoming)e(photon)j(b)s(eams,)g
26248 (i.e.)58 b(when)244 4240 y Fq('gamma')28 b Fw(is)e(the)g(argumen)m(t)g
26249 (in)f(the)i Fq(PYINIT)h Fw(call.)39 b(A)27 b(con)m(v)m(olution)e(with)h
26250 (the)h(bremsstrahlung)244 4348 y(photon)k(sp)s(ectrum)g(in)f(an)h
26251 (electron)g(b)s(eam)f(ma)m(y)h(come)g(one)g(da)m(y)-8
26252 b(,)32 b(but)f(not)g(in)f(the)h(immediate)244 4457 y(future.)145
26253 4574 y Fn(\017)49 b Fw(The)30 b(mac)m(hinery)f(has)g(only)f(b)s(een)i
26254 (set)g(up)f(to)f(generate)i(standard)f(QCD)g(ph)m(ysics,)i(sp)s
26255 (eci\014cally)244 4683 y(either)j(`minim)m(um-bias')29
26256 b(one)35 b(or)e(high-)p Fj(p)1782 4698 y Fk(?)1874 4683
26257 y Fw(jets.)48 b(F)-8 b(or)33 b(minim)m(um)d(bias,)k(y)m(ou)h(are)e(not)
26258 h(allo)m(w)m(ed)244 4791 y(to)48 b(use)i(the)f Fq(CKIN)g
26259 Fw(v)-5 b(ariables)48 b(at)g(all.)89 b(This)49 b(is)f(not)h(a)f(ma)5
26260 b(jor)48 b(limitation,)g(since)h(it)e(is)h(in)244 4899
26261 y(the)f(spirit)f(of)g(minim)m(um-bias)d(ph)m(ysics)48
26262 b(not)f(to)g(imp)s(ose)f(an)m(y)h(con)m(train)m(ts)g(on)g(allo)m(w)m
26263 (ed)f(jet)244 5008 y(pro)s(duction.)41 b(\(If)28 b(y)m(ou)h(still)d
26264 (do,)j(these)h(cuts)f(will)d(b)s(e)j(ine\013ectiv)m(e)f(for)g(the)h
26265 (VMD)f(pro)s(cesses)i(but)244 5116 y(tak)m(e)41 b(e\013ect)f(for)g(the)
26266 g(other)g(ones,)j(giving)38 b(inconsistencies.\))66 b(The)41
26267 b(minim)m(um-bias)36 b(ph)m(ysics)244 5224 y(option)d(is)g(obtained)g
26268 (b)m(y)i(default;)f(b)m(y)g(switc)m(hing)g(from)e Fq(MSEL=1)k
26269 Fw(to)d Fq(MSEL=2)i Fw(also)e(the)h(elastic)244 5333
26270 y(and)25 b(di\013ractiv)m(e)g(comp)s(onen)m(ts)h(of)f(the)h(VMD)f(part)
26271 g(are)h(included.)41 b(High-)p Fj(p)3006 5348 y Fk(?)3089
26272 5333 y Fw(jet)25 b(pro)s(duction)g(is)244 5441 y(obtained)30
26273 b(b)m(y)j(setting)d(the)i Fq(CKIN\(3\))h Fw(cut-o\013)e(larger)f(than)h
26274 (eac)m(h)h(of)e(the)i(\(energy-dep)s(enden)m(t\))244
26275 5550 y(cut-o\013)e(scales)h(for)e(the)i(VMD,)g(direct)f(and)g
26276 (anomalous)f(comp)s(onen)m(ts;)i(t)m(ypically)e(this)h(means)244
26277 5658 y(at)45 b(least)h(3)f(GeV.)h(F)-8 b(or)45 b(lo)m(w)m(er)h(input)f
26278 Fq(CKIN\(3\))i Fw(v)-5 b(alues)46 b(the)g(program)f(will)e
26279 (automatically)1817 5953 y(123)p eop
26280 %%Page: 124 130
26281 124 129 bop 244 -18 a Fw(switc)m(h)33 b(bac)m(k)h(to)e(minim)m(um-bias)
26282 c(ph)m(ysics.)145 99 y Fn(\017)49 b Fw(Some)36 b(v)-5
26283 b(ariables)36 b(are)g(in)m(ternally)f(recalculated)i(and)f(reset:)53
26284 b Fq(CKIN\(1\))p Fw(,)40 b Fq(CKIN\(3\))p Fw(,)g Fq(CKIN\(5\))p
26285 Fw(,)244 208 y Fq(CKIN\(6\))p Fw(,)59 b Fq(MSTP\(57\))p
26286 Fw(,)h Fq(MSTP\(85\))p Fw(,)f Fq(PARP\(2\))p Fw(,)h Fq(PARP\(81\))p
26287 Fw(,)f Fq(PARP\(82\))p Fw(,)h Fq(PARU\(115\))54 b Fw(and)244
26288 316 y Fq(MDME\(22,J\))p Fw(.)34 b(This)d(is)g(b)s(ecause)i(they)f(m)m
26289 (ust)g(ha)m(v)m(e)g(v)-5 b(alues)32 b(that)f(dep)s(end)h(on)g(the)f
26290 (comp)s(onen)m(t)244 424 y(studied.)68 b(These)42 b(v)-5
26291 b(ariables)39 b(can)i(therefore)g(not)f(b)s(e)h(mo)s(di\014ed)e
26292 (without)h(c)m(hanging)i Fq(PYINPR)244 533 y Fw(and)33
26293 b(recompiling)c(the)k(program,)f(whic)m(h)h(ob)m(viously)f(is)g(a)g(ma)
26294 5 b(jor)32 b(exercise.)145 650 y Fn(\017)49 b Fw(Pileup)32
26295 b(ev)m(en)m(ts)j(are)d(not)h(at)f(all)e(allo)m(w)m(ed.)146
26296 764 y(Also,)k(a)g(w)m(arning)f(ab)s(out)h(the)g(usage)g(of)41
26297 b Fm(Pdflib)34 b Fw(for)f(photons.)48 b(So)34 b(long)f(as)h
26298 Fq(MSTP\(14\)=1)p Fw(,)j(i.e.)0 872 y(the)26 b(photon)f(is)g(not)h
26299 (split)e(up,)j Fm(Pdflib)f Fw(is)f(accessed)j(b)m(y)g
26300 Fq(MSTP\(56\)=2)g Fw(and)e Fq(MSTP\(55\))h Fw(as)f(the)g(parton)0
26301 980 y(distribution)i(set.)43 b(Ho)m(w)m(ev)m(er,)33 b(when)e(the)f(VMD)
26302 g(and)g(anomalous)e(pieces)j(are)e(split,)h(the)g(VMD)g(part)0
26303 1089 y(is)d(based)i(on)f(a)f(rescaling)g(of)g(pion)g(distributions)f(b)
26304 m(y)j(VMD)f(factors)f(\(except)j(for)d(the)h(SaS)g(sets,)i(that)0
26305 1197 y(already)c(come)g(with)g(a)g(separate)h(VMD)f(piece\).)42
26306 b(Therefore,)29 b(to)d(access)i Fm(Pdflib)f Fw(for)f
26307 Fq(MSTP\(14\)=10)p Fw(,)0 1305 y(it)33 b(is)g(not)h(correct)h(to)f(set)
26308 g Fq(MSTP\(56\)=2)j Fw(and)d(a)g(photon)g(distribution)e(in)h
26309 Fq(MSTP\(55\))p Fw(.)50 b(Instead,)35 b(one)0 1414 y(should)43
26310 b(put)h Fq(MSTP\(56\)=2)p Fw(,)49 b Fq(MSTP\(54\)=2)c
26311 Fw(and)f(a)f(pion)f(distribution)g(co)s(de)i(in)e Fq(MSTP\(53\))p
26312 Fw(,)48 b(while)0 1522 y Fq(MSTP\(55\))31 b Fw(has)e(no)g(function.)42
26313 b(The)30 b(anomalous)d(part)i(is)f(still)f(based)j(on)f(the)g(SaS)g
26314 (parametrization,)0 1630 y(with)j Fq(PARP\(15\))j Fw(as)e(main)d(free)j
26315 (parameter.)146 1739 y(Curren)m(tly)-8 b(,)35 b(hadrons)f(are)g(not)g
26316 (de\014ned)h(with)e(an)m(y)i(photonic)e(con)m(ten)m(t.)48
26317 b(None)34 b(of)f(the)h(pro)s(cesses)0 1847 y(are)f(therefore)g(relev)-5
26318 b(an)m(t)32 b(in)g(hadron{hadron)h(collisions.)40 b(In)33
26319 b(ep)g(collisions,)d(the)j(electron)g(can)g(emit)0 1955
26320 y(an)d(almost)e(real)h(photon,)i(whic)m(h)f(ma)m(y)g(in)m(teract)g
26321 (directly)f(or)h(b)s(e)g(resolv)m(ed.)43 b(In)31 b(e)3004
26322 1919 y Fl(+)3063 1955 y Fw(e)3106 1919 y Fk(\000)3195
26323 1955 y Fw(collisions,)d(one)0 2064 y(ma)m(y)k(ha)m(v)m(e)i(direct,)f
26324 (singly-resolv)m(ed)f(or)g(doubly-resolv)m(ed)h(pro)s(cesses.)146
26325 2172 y(The)40 b Fj(\015)5 b(\015)44 b Fw(equiv)-5 b(alen)m(t)39
26326 b(to)f(the)i Fj(\015)5 b Fw(p)39 b(description)f(in)m(v)m(olv)m(es)i
26327 (six)f(di\013eren)m(t)g(ev)m(en)m(t)i(classes,)h(see)e(sec-)0
26328 2280 y(tion)i(7.7.2.)73 b(These)45 b(classes)e(can)g(b)s(e)g(obtained)f
26329 (b)m(y)i(setting)g Fq(MSTP\(14\))h Fw(to)d(0,)j(2,)g(3,)g(5,)g(6)e(and)
26330 g(7,)0 2389 y(resp)s(ectiv)m(ely)-8 b(.)51 b(If)35 b(one)g(com)m(bines)
26331 f(the)h(VMD)g(and)g(anomalous)e(parts)i(of)f(the)h(parton)g
26332 (distributions)0 2497 y(of)41 b(the)i(photon,)h(in)d(a)h(more)f(coarse)
26333 i(description,)h(it)c(is)i(enough)g(to)g(use)h(the)f
26334 Fq(MSTP\(14\))i Fw(options)0 2605 y(0,)g(1)e(and)h(4.)72
26335 b(The)43 b(cut-o\013)f(pro)s(cedures)i(follo)m(ws)d(from)g(the)h(ones)h
26336 (used)h(for)d(the)i Fj(\015)5 b Fw(p)43 b(ones)g(ab)s(o)m(v)m(e.)0
26337 2714 y(Th)m(us)36 b(the)f(direct)p Fn(\002)p Fw(direct)f(and)g(direct)p
26338 Fn(\002)p Fw(VMD)h(pro)s(cesses)h(require)f(the)g(same)f(cut-o\013s)g
26339 (as)h(used)g(for)0 2822 y(direct)27 b Fj(\015)5 b Fw(p)27
26340 b(ev)m(en)m(ts,)k(the)c(VMD)p Fn(\002)p Fw(VMD)h(ones)f(the)h(same)f
26341 (as)g(used)h(for)f(VMD)f Fj(\015)5 b Fw(p)28 b(ev)m(en)m(ts,)i(and)d
26342 (the)h(rest)0 2930 y(\(anomalous)p Fn(\002)p Fw(anomalous,)i(direct)p
26343 Fn(\002)p Fw(anomalous)i(and)h(VMD)p Fn(\002)p Fw(anomalous\))f(the)h
26344 (same)g(as)g(used)h(for)0 3039 y(anomalous)d Fj(\015)5
26345 b Fw(p)33 b(ev)m(en)m(ts.)146 3147 y(As)43 b(with)f Fj(\015)5
26346 b Fw(p)43 b(ev)m(en)m(ts,)k(the)c(option)e Fq(MSTP\(14\)=10)k
26347 Fw(giv)m(es)e(a)f(mixture)g(of)g(the)g(six)h(p)s(ossible)e
26348 Fj(\015)5 b(\015)0 3255 y Fw(ev)m(en)m(t)33 b(classes.)44
26349 b(The)32 b(same)f(complications)d(and)k(restrictions)e(exist)i(here)f
26350 (as)h(already)e(listed)h(ab)s(o)m(v)m(e.)0 3364 y(F)-8
26351 b(or)32 b(normal)e(use)k(the)f(adv)-5 b(an)m(tages)33
26352 b(should)f(out)m(w)m(eigh)m(t)i(the)f(disadv)-5 b(an)m(tages.)146
26353 3472 y(It)36 b(is)e(hop)s(ed)i(to)f(extend)h(the)g(formalism)c(also)i
26354 (to)h(mildly)d(virtual)i(photons.)52 b(Curren)m(tly)36
26355 b(this)f(is)0 3580 y(not)29 b(done.)43 b(The)30 b(in)m(teraction)e(of)h
26356 (a)f(highly)g(virtual)g(photon)h(with)g(a)g(real)f(photon)h(is)g
26357 (included)g(in)f(the)0 3689 y(deep)34 b(inelastic)d(scattering)h
26358 (formalism)d(b)s(elo)m(w,)j(ho)m(w)m(ev)m(er.)146 3797
26359 y(Pro)s(cess)e(54)e(generates)h(a)f(mixture)f(of)h(quark)h(\015a)m(v)m
26360 (ours;)i(allo)m(w)m(ed)d(\015a)m(v)m(ours)h(are)g(set)g(b)m(y)g(the)f
26361 (gluon)0 3905 y Fq(MDME)52 b(values)p Fw(.)75 b(Pro)s(cess)44
26362 b(58)d(can)i(generate)g(b)s(oth)f(quark)h(and)g(lepton)f(pairs,)i
26363 (according)e(to)g(the)0 4014 y Fq(MDME)f Fw(v)-5 b(alues)40
26364 b(of)f(the)h(photon.)66 b(Pro)s(cesses)42 b(84)d(and)h(85)g(are)g(v)-5
26365 b(arian)m(ts)39 b(of)h(these)h(matrix)d(elemen)m(ts,)0
26366 4122 y(with)43 b(fermion)f(masses)i(included)f(in)g(the)h(matrix)d
26367 (elemen)m(ts,)47 b(but)d(where)g(only)f(one)h(\015a)m(v)m(our)g(can)0
26368 4231 y(b)s(e)g(generated)h(at)f(a)g(time.)76 b(This)45
26369 b(\015a)m(v)m(our)g(is)e(selected)i(as)g(describ)s(ed)g(for)e(pro)s
26370 (cesses)j(81)e(and)g(82)0 4339 y(in)35 b(section)g(8.2.2,)h(with)f(the)
26371 h(exception)g(that)f(for)g(pro)s(cess)i(85)e(the)g(`hea)m(viest')i
26372 (\015a)m(v)m(our)f(allo)m(w)m(ed)f(for)0 4447 y(photon)i(splitting)d
26373 (tak)m(es)k(to)f(place)f(of)g(the)h(hea)m(viest)h(\015a)m(v)m(our)g
26374 (allo)m(w)m(ed)e(for)g(gluon)g(splitting.)53 b(Since)0
26375 4556 y(lepton)41 b(KF)f(co)s(des)j(come)e(after)g(quark)h(ones,)i(they)
26376 e(are)f(coun)m(ted)i(as)e(b)s(eing)g(`hea)m(vier',)j(and)d(th)m(us)0
26377 4664 y(tak)m(e)33 b(precedence)j(if)31 b(they)i(ha)m(v)m(e)h(b)s(een)g
26378 (allo)m(w)m(ed.)146 4772 y(Pro)s(cess)43 b(80)d(is)g(a)h(higher)g(t)m
26379 (wist)g(one.)68 b(The)42 b(theory)g(for)e(suc)m(h)j(pro)s(cesses)g(is)d
26380 (rather)h(shaky)-8 b(,)44 b(so)0 4881 y(results)k(should)g(not)g(b)s(e)
26381 g(tak)m(en)g(to)s(o)f(literally)-8 b(.)86 b(The)49 b(messy)g(form)m
26382 (ulae)d(giv)m(en)i(in)f([Bag82)o(])h(ha)m(v)m(e)0 4989
26383 y(not)e(b)s(een)h(programmed)e(in)h(full,)i(instead)e(the)h(pion)e
26384 (form)g(factor)h(has)h(b)s(een)g(parametrized)e(as)0
26385 5097 y Fj(Q)77 5061 y Fl(2)117 5097 y Fj(F)180 5112 y
26386 Fh(\031)227 5097 y Fw(\()p Fj(Q)342 5061 y Fl(2)382 5097
26387 y Fw(\))27 b Fn(\031)h Fw(0)p Fj(:)p Fw(55)p Fj(=)17
26388 b Fw(ln)e Fj(Q)966 5061 y Fl(2)1006 5097 y Fw(,)32 b(with)h
26389 Fj(Q)f Fw(in)g(GeV.)0 5345 y Fo(8.3.3)112 b(Deep)38 b(inelastic)e
26390 (scattering)0 5518 y Fq(MSEL)e Fw(=)e(1,)g(2,)h(35,)f(36,)g(37,)g(38)0
26391 5626 y(ISUB)h(=)1817 5953 y(124)p eop
26392 %%Page: 125 131
26393 125 130 bop 50 -30 a Fw(10)99 b(f)277 -15 y Fh(i)305
26394 -30 y Fw(f)335 -15 y Fh(j)399 -30 y Fn(!)27 b Fw(f)556
26395 -15 y Fh(k)599 -30 y Fw(f)629 -15 y Fh(l)50 90 y Fw(83)99
26396 b(q)298 105 y Fh(i)327 90 y Fw(f)357 105 y Fh(j)421 90
26397 y Fn(!)27 b Fw(Q)624 105 y Fh(k)666 90 y Fw(f)696 105
26398 y Fh(l)146 206 y Fw(The)j(`deep)f(inelastic)e(scattering')h(\(DIS\))h
26399 (pro)s(cesses,)i(i.e.)42 b Fj(t)p Fw(-c)m(hannel)28 b(electro)m(w)m
26400 (eak)i(gauge)e(b)s(oson)0 314 y(exc)m(hange,)k(are)f(traditionally)26
26401 b(asso)s(ciated)k(with)g(in)m(teractions)f(b)s(et)m(w)m(een)j(a)e
26402 (lepton)g(or)g(neutrino)f(and)0 422 y(a)h(hadron,)g(but)g(pro)s(cesses)
26403 i(10)d(and)h(83)g(can)g(equally)f(w)m(ell)g(b)s(e)h(applied)f(for)g(qq)
26404 i(scattering)e(in)g(hadron)0 531 y(colliders)c(\(with)h(a)g(cross)h
26405 (section)g(m)m(uc)m(h)g(smaller)d(than)j(corresp)s(onding)f(QCD)g(pro)s
26406 (cesses,)k(ho)m(w)m(ev)m(er\).)0 639 y(If)j(applied)e(to)h(incoming)e
26407 (e)1018 603 y Fl(+)1078 639 y Fw(e)1121 603 y Fk(\000)1213
26408 639 y Fw(b)s(eams,)i(pro)s(cess)i(10)e(corresp)s(onds)i(to)e(Bhabha)h
26409 (scattering.)146 747 y(F)-8 b(or)25 b(pro)s(cess)j(10)d(b)s(oth)h
26410 Fj(\015)5 b Fw(,)27 b(Z)1165 711 y Fl(0)1230 747 y Fw(and)f(W)1514
26411 711 y Fk(\006)1599 747 y Fw(exc)m(hange)i(con)m(tribute,)f(including)d
26412 (in)m(terference)j(b)s(et)m(w)m(een)0 856 y Fj(\015)k
26413 Fw(and)c(Z)326 820 y Fl(0)365 856 y Fw(.)42 b(The)27
26414 b(switc)m(h)g Fq(MSTP\(21\))i Fw(ma)m(y)d(b)s(e)h(used)g(to)f(restrict)
26415 h(to)f(only)g(some)g(of)g(these,)j(e.g.)42 b(neutral)0
26416 964 y(or)32 b(c)m(harged)i(curren)m(t)f(only)-8 b(.)146
26417 1072 y(The)32 b(option)d Fq(MSTP\(14\)=10)k Fw(\(see)f(previous)e
26418 (section\))h(has)g(no)m(w)g(b)s(een)g(extended)h(so)f(that)f(it)f(also)
26419 0 1181 y(w)m(orks)44 b(for)d(deep)j(inelastic)c(sacattering)i(of)g(an)g
26420 (electron)g(o\013)g(a)g(\(real\))f(photon,)k(i.e.)71
26421 b(pro)s(cess)44 b(10.)0 1289 y(What)39 b(is)e(obtained)h(is)g(a)h
26422 (mixture)e(of)h(the)h(photon)f(acting)g(as)h(a)f(v)m(ector)h(meson)g
26423 (and)f(it)g(acting)f(as)0 1397 y(an)44 b(anomalous)e(state.)77
26424 b(This)44 b(should)f(therefore)i(b)s(e)f(the)g(sum)f(of)h(what)g(can)g
26425 (b)s(e)g(obtained)f(with)0 1506 y Fq(MSTP\(14\)=2)33
26426 b Fw(and)e Fq(=3)p Fw(.)43 b(It)30 b(is)g(distinct)g(from)f
26427 Fq(MSTP\(14\)=1)k Fw(in)d(that)g(di\013eren)m(t)h(sets)g(are)g(used)g
26428 (for)f(the)0 1614 y(parton)37 b(distributions)f(|)h(in)g
26429 Fq(MSTP\(14\)=1)j Fw(all)35 b(the)j(con)m(tributions)f(to)g(the)h
26430 (photon)f(distributions)0 1722 y(are)29 b(lump)s(ed)f(together,)i
26431 (while)f(they)h(are)f(split)f(in)g(VMD)h(and)g(anomalous)f(parts)h(for)
26432 g Fq(MSTP\(14\)=10)p Fw(.)0 1831 y(Also)40 b(the)h(b)s(eam)e(remnan)m
26433 (t)i(treatmen)m(t)f(is)g(di\013eren)m(t,)j(with)d(a)g(simple)f
26434 (Gaussian)g(distribution)g(\(at)0 1939 y(least)i(b)m(y)h(default\))f
26435 (for)g Fq(MSTP\(14\)=1)j Fw(and)d(the)h(VMD)g(part)f(of)48
26436 b Fq(MSTP\(14\)=10)p Fw(,)e(but)c(a)f(p)s(o)m(w)m(erlik)m(e)0
26437 2048 y(distribution)31 b(d)p Fj(k)640 2011 y Fl(2)637
26438 2072 y Fk(?)696 2048 y Fj(=k)799 2011 y Fl(2)796 2072
26439 y Fk(?)887 2048 y Fw(b)s(et)m(w)m(een)j Fq(PARP\(15\))h
26440 Fw(and)e Fj(Q)f Fw(for)g(the)h(anomalous)e(part)i(of)39
26441 b Fq(MSTP\(14\)=10)p Fw(.)146 2156 y(T)-8 b(o)49 b(access)h(this)e
26442 (option)g(for)f(e)i(and)g Fj(\015)k Fw(as)c(incoming)d(b)s(eams,)52
26443 b(it)c(is)g(only)g(necessary)j(to)d(set)0 2264 y Fq(MSTP\(14\)=10)35
26444 b Fw(and)e(k)m(eep)h Fq(MSEL)f Fw(at)f(its)g(default)f(v)-5
26445 b(alue.)43 b(Unlik)m(e)32 b(the)h(corresp)s(onding)f(option)g(for)f
26446 Fj(\015)5 b Fw(p)0 2373 y(and)35 b Fj(\015)5 b(\015)g
26447 Fw(,)36 b(no)f(cuts)h(are)g(o)m(v)m(erwritten,)h(i.e.)50
26448 b(it)35 b(is)f(still)f(the)j(resp)s(onsabilit)m(y)e(of)h(the)g(user)h
26449 (to)f(set)h(these)0 2481 y(appropriately)-8 b(.)146 2589
26450 y(Cuts)58 b(esp)s(ecially)e(appropriate)g(for)h(DIS)g(usage)g(include)g
26451 (either)f Fq(CKIN\(21\)-CKIN\(22\))62 b Fw(or)0 2698
26452 y Fq(CKIN\(23\)-CKIN\(24\))49 b Fw(for)44 b(the)i Fj(x)f
26453 Fw(range)f(\(former)g(or)g(latter)g(dep)s(ending)h(on)g(whic)m(h)g
26454 (side)g(is)f(the)0 2806 y(incoming)36 b(real)h(photon\),)j
26455 Fq(CKIN\(35\)-CKIN\(36\))i Fw(for)c(the)g Fj(Q)2335 2770
26456 y Fl(2)2413 2806 y Fw(range,)i(and)e Fq(CKIN\(39\)-CKIN\(40\))0
26457 2914 y Fw(for)32 b(the)h Fj(W)423 2878 y Fl(2)495 2914
26458 y Fw(range.)146 3023 y(In)48 b(principle,)h(the)f(DIS)f
26459 Fj(x)h Fw(v)-5 b(ariable)45 b(of)i(an)h(ev)m(en)m(t)h(corresp)s(onds)f
26460 (to)f(the)h Fj(x)g Fw(v)-5 b(alue)46 b(stored)i(in)0
26461 3131 y Fq(PARI\(33\))42 b Fw(or)e Fq(PARI\(34\))p Fw(,)k(dep)s(ending)d
26462 (on)f(whic)m(h)g(side)g(the)h(incoming)d(hadron)i(is)g(on,)i(while)d
26463 (the)0 3239 y(DIS)c Fj(Q)276 3203 y Fl(2)349 3239 y Fw(=)d
26464 Fn(\000)535 3221 y Fw(^)534 3239 y Fj(t)i Fw(=)p Fq(-PARI\(15\))p
26465 Fw(.)55 b(Ho)m(w)m(ev)m(er,)38 b(just)e(lik)m(e)f(initial-)c(and)36
26466 b(\014nal-state)f(radiation)e(can)j(shift)0 3348 y(jet)30
26467 b(momen)m(ta,)g(they)h(can)f(mo)s(dify)f(the)h(momen)m(tum)f(of)h(the)g
26468 (scattered)i(lepton.)42 b(Therefore)31 b(the)g(DIS)0
26469 3456 y Fj(x)36 b Fw(and)f Fj(Q)360 3420 y Fl(2)435 3456
26470 y Fw(v)-5 b(ariables)35 b(are)g(not)g(automatically)d(conserv)m(ed.)55
26471 b(An)36 b(option,)f(on)g(b)m(y)h(default,)g(exists)g(in)0
26472 3564 y Fq(MSTP\(23\))p Fw(,)k(where)e(the)g(ev)m(en)m(t)g(can)f(b)s(e)g
26473 (`mo)s(di\014ed)f(bac)m(k')i(so)f(as)g(to)g(conserv)m(e)i
26474 Fj(x)e Fw(and)g Fj(Q)3334 3528 y Fl(2)3374 3564 y Fw(,)h(but)f(this)0
26475 3673 y(option)31 b(is)i(still)d(rather)i(primitiv)m(e)f(and)h(should)h
26476 (not)f(b)s(e)h(tak)m(en)h(to)s(o)d(literally)-8 b(.)146
26477 3781 y(Pro)s(cess)34 b(83)e(is)g(the)h(equiv)-5 b(alen)m(t)33
26478 b(of)f(pro)s(cess)i(10)e(for)g(W)2189 3745 y Fk(\006)2281
26479 3781 y Fw(exc)m(hange)i(only)-8 b(,)32 b(but)h(with)f(the)h(hea)m(vy-)0
26480 3889 y(quark)d(mass)f(included)f(in)g(the)i(matrix)d(elemen)m(t.)42
26481 b(In)30 b(hadron)f(colliders)e(it)h(is)g(mainly)f(of)i(in)m(terest)g
26482 (for)0 3998 y(the)35 b(pro)s(duction)e(of)h(v)m(ery)i(hea)m(vy)f(\015a)
26483 m(v)m(ours,)h(where)g(the)e(p)s(ossibilit)m(y)f(of)g(pro)s(ducing)h
26484 (just)g(one)h(hea)m(vy)0 4106 y(quark)g(is)e(kinematically)e(fa)m(v)m
26485 (oured)k(o)m(v)m(er)g(pair)e(pro)s(duction.)48 b(The)34
26486 b(selection)g(of)g(the)g(hea)m(vy)i(\015a)m(v)m(our)0
26487 4214 y(is)c(already)g(discussed)j(in)c(section)i(8.2.2.)0
26488 4462 y Fo(8.3.4)112 b(Single)37 b Fw(W)q Fj(=)p Fw(Z)g
26489 Fo(pro)s(duction)0 4635 y Fq(MSEL)d Fw(=)e(11,)g(12,)g(13,)g(14,)h(15,)
26490 f(\(21\))0 4743 y(ISUB)h(=)1817 5953 y(125)p eop
26491 %%Page: 126 132
26492 126 131 bop 223 -30 a Fw(1)100 b(f)402 -15 y Fh(i)p 430
26493 -109 37 4 v 430 -30 a Fw(f)466 -15 y Fh(i)522 -30 y Fn(!)28
26494 b Fj(\015)706 -66 y Fk(\003)745 -30 y Fj(=)p Fw(Z)854
26495 -66 y Fl(0)223 90 y Fw(2)100 b(f)402 105 y Fh(i)p 430
26496 11 V 430 90 a Fw(f)466 105 y Fh(j)531 90 y Fn(!)27 b
26497 Fw(W)759 54 y Fl(+)174 211 y Fw(15)100 b(f)402 226 y
26498 Fh(i)p 430 131 V 430 211 a Fw(f)466 226 y Fh(i)522 211
26499 y Fn(!)28 b Fw(g\()p Fj(\015)793 174 y Fk(\003)832 211
26500 y Fj(=)p Fw(Z)941 174 y Fl(0)980 211 y Fw(\))174 331
26501 y(16)100 b(f)402 346 y Fh(i)p 430 252 V 430 331 a Fw(f)466
26502 346 y Fh(j)531 331 y Fn(!)27 b Fw(gW)808 295 y Fl(+)174
26503 451 y Fw(19)100 b(f)402 466 y Fh(i)p 430 372 V 430 451
26504 a Fw(f)466 466 y Fh(i)522 451 y Fn(!)28 b Fj(\015)5 b
26505 Fw(\()p Fj(\015)800 415 y Fk(\003)839 451 y Fj(=)p Fw(Z)948
26506 415 y Fl(0)987 451 y Fw(\))174 572 y(20)100 b(f)402 587
26507 y Fh(i)p 430 493 V 430 572 a Fw(f)466 587 y Fh(j)531
26508 572 y Fn(!)27 b Fj(\015)5 b Fw(W)815 536 y Fl(+)174 692
26509 y Fw(30)100 b(f)402 707 y Fh(i)430 692 y Fw(g)28 b Fn(!)g
26510 Fw(f)665 707 y Fh(i)693 692 y Fw(\()p Fj(\015)787 656
26511 y Fk(\003)826 692 y Fj(=)p Fw(Z)935 656 y Fl(0)974 692
26512 y Fw(\))174 812 y(31)100 b(f)402 827 y Fh(i)430 812 y
26513 Fw(g)28 b Fn(!)g Fw(f)665 827 y Fh(k)707 812 y Fw(W)808
26514 776 y Fl(+)174 933 y Fw(35)100 b(f)402 948 y Fh(i)430
26515 933 y Fj(\015)32 b Fn(!)c Fw(f)671 948 y Fh(i)699 933
26516 y Fw(\()p Fj(\015)793 897 y Fk(\003)832 933 y Fj(=)p
26517 Fw(Z)941 897 y Fl(0)980 933 y Fw(\))174 1053 y(36)100
26518 b(f)402 1068 y Fh(i)430 1053 y Fj(\015)32 b Fn(!)c Fw(f)671
26519 1068 y Fh(k)713 1053 y Fw(W)814 1017 y Fl(+)126 1174
26520 y Fw(131)99 b(gg)28 b Fn(!)g Fw(Z)686 1137 y Fl(0)725
26521 1174 y Fw(Q)801 1189 y Fh(k)p 843 1096 76 4 v 843 1174
26522 a Fw(Q)919 1197 y Fh(k)50 1294 y Fw(\(141\))99 b(f)402
26523 1309 y Fh(i)p 430 1215 37 4 v 430 1294 a Fw(f)466 1309
26524 y Fh(i)522 1294 y Fn(!)28 b Fj(\015)5 b(=)p Fw(Z)815
26525 1258 y Fl(0)853 1294 y Fj(=)p Fw(Z)962 1258 y Fk(0)p
26526 Fl(0)146 1404 y Fw(This)43 b(group)f(consists)h(of)e(2)j
26527 Fn(!)g Fw(1)e(pro)s(cesses,)47 b(i.e.)72 b(pro)s(duction)41
26528 b(of)h(a)g(single)f(resonance,)46 b(and)0 1512 y(2)30
26529 b Fn(!)f Fw(2)34 b(pro)s(cesses,)i(where)f(the)f(resonance)h(is)f
26530 (recoiling)d(against)i(a)g(jet)h(or)g(a)f(photon.)47
26531 b(The)35 b(pro)s(cess)0 1621 y(141,)d(whic)m(h)h(also)f(is)g(listed)f
26532 (here,)j(is)e(describ)s(ed)h(further)g(elsewhere.)146
26533 1729 y(With)26 b(initial-state)c(sho)m(w)m(ers)28 b(turned)e(on,)h(the)
26534 g(2)g Fn(!)g Fw(1)f(pro)s(cesses)i(also)d(generate)h(additional)d
26535 (jets;)0 1837 y(in)j(order)g(to)g(a)m(v)m(oid)h(double-coun)m(ting,)g
26536 (the)f(corresp)s(onding)h(2)g Fn(!)h Fw(2)e(pro)s(cesses)i(should)f
26537 (therefore)g(not)0 1946 y(b)s(e)37 b(turned)i(on)e(sim)m(ultaneously)-8
26538 b(.)56 b(The)38 b(basic)f(rule)g(is)g(to)g(use)h(the)g(2)d
26539 Fn(!)h Fw(1)h(pro)s(cesses)i(for)e(inclusiv)m(e)0 2054
26540 y(generation)d(of)f(W)q Fj(=)p Fw(Z,)i(i.e.)48 b(where)36
26541 b(the)f(bulk)f(of)g(the)g(ev)m(en)m(ts)j(studied)e(ha)m(v)m(e)g
26542 Fj(p)2910 2069 y Fk(?)3000 2054 y Fn(\034)30 b Fj(m)3215
26543 2070 y Fl(W)q Fh(=)p Fl(Z)3371 2054 y Fw(,)35 b(whic)m(h)g(is)0
26544 2162 y(where)h(parton)e(sho)m(w)m(ers)j(ma)m(y)e(b)s(e)f(exp)s(ected)j
26545 (to)d(do)h(a)f(go)s(o)s(d)g(job.)49 b(F)-8 b(or)34 b(dedicated)h
26546 (studies)g(of)g(W)q Fj(=)p Fw(Z)0 2271 y(pro)s(duction)f(at)g(larger)f
26547 (transv)m(erse)k(momen)m(ta,)d(the)h(parton)f(sho)m(w)m(ers)i(tend)f
26548 (to)g(underestimate)f(the)0 2379 y(ev)m(en)m(t)e(rates.)43
26549 b(It)30 b(is)g(here)h(b)s(etter)g(to)e(start)i(from)e(the)h(2)e
26550 Fn(!)f Fw(2)j(matrix)e(elemen)m(ts)j(and)f(add)g(sho)m(w)m(ers)j(to)0
26551 2487 y(these.)48 b(Ho)m(w)m(ev)m(er,)36 b(the)e(2)29
26552 b Fn(!)g Fw(2)k(matrix)f(elemen)m(ts)i(are)g(div)m(ergen)m(t)g(for)f
26553 Fj(p)2677 2502 y Fk(?)2765 2487 y Fn(!)c Fw(0,)34 b(and)f(should)h(not)
26554 f(b)s(e)0 2596 y(used)j(do)m(wn)f(to)f(the)h(lo)m(w-)p
26555 Fj(p)1001 2611 y Fk(?)1094 2596 y Fw(region,)f(or)g(one)h(ma)m(y)f(get)
26556 h(unph)m(ysical)g(cross)g(sections.)50 b(The)36 b(problem)0
26557 2704 y(of)31 b(double-coun)m(ting)g(applies)h(not)f(only)h(to)f(W)q
26558 Fj(=)p Fw(Z)h(pro)s(duction)f(in)h(hadron)f(colliders,)g(but)h(also)f
26559 (to)h(a)0 2812 y(pro)s(cess)h(lik)m(e)e(e)560 2776 y
26560 Fl(+)619 2812 y Fw(e)662 2776 y Fk(\000)749 2812 y Fn(!)c
26561 Fw(Z)936 2776 y Fl(0)976 2812 y Fj(\015)5 b Fw(,)31 b(whic)m(h)i
26562 (clearly)d(is)h(part)h(of)f(the)h(initial-state)c(radiation)h
26563 (corrections)j(to)0 2921 y(e)43 2885 y Fl(+)102 2921
26564 y Fw(e)145 2885 y Fk(\000)233 2921 y Fn(!)27 b Fw(Z)420
26565 2885 y Fl(0)492 2921 y Fw(obtained)32 b(for)g Fq(MSTP\(11\)=1)p
26566 Fw(.)46 b(As)33 b(is)f(the)h(case)h(for)e(Z)g(pro)s(duction)g(in)g
26567 (asso)s(ciation)f(with)0 3029 y(jets,)i(the)g(2)28 b
26568 Fn(!)f Fw(2)32 b(pro)s(cess)i(should)e(therefore)i(only)e(b)s(e)g(used)
26569 i(for)e(the)h(high-)p Fj(p)2874 3044 y Fk(?)2965 3029
26570 y Fw(region.)146 3137 y(The)41 b(Z)414 3101 y Fl(0)493
26571 3137 y Fw(of)f(subpro)s(cess)i(1)d(includes)h(the)h(full)d(in)m
26572 (terference)j(structure)g Fj(\015)2944 3101 y Fk(\003)2984
26573 3137 y Fj(=)p Fw(Z)3093 3101 y Fl(0)3131 3137 y Fw(;)j(via)39
26574 b Fq(MSTP\(43\))0 3246 y Fw(y)m(ou)48 b(can)g(select)f(to)g(pro)s(duce)
26575 h(only)f Fj(\015)1478 3210 y Fk(\003)1518 3246 y Fw(,)k(only)46
26576 b(Z)1884 3210 y Fl(0)1924 3246 y Fw(,)51 b(or)c(the)g(full)f
26577 Fj(\015)2560 3210 y Fk(\003)2599 3246 y Fj(=)p Fw(Z)2708
26578 3210 y Fl(0)2747 3246 y Fw(.)88 b(The)48 b(same)f(holds)g(true)0
26579 3354 y(for)41 b(the)h(Z)395 3318 y Fk(0)p Fl(0)494 3354
26580 y Fw(of)f(subpro)s(cess)j(141;)h(via)c Fq(MSTP\(44\))i
26581 Fw(an)m(y)f(com)m(bination)e(of)h Fj(\015)2883 3318 y
26582 Fk(\003)2922 3354 y Fw(,)j(Z)3053 3318 y Fl(0)3133 3354
26583 y Fw(and)e(Z)3392 3318 y Fk(0)p Fl(0)3492 3354 y Fw(can)f(b)s(e)0
26584 3462 y(selected.)61 b(Th)m(us,)42 b(subpro)s(cess)e(141)d(with)h
26585 Fq(MSTP\(44\)=4)j Fw(is)d(essen)m(tially)g(equiv)-5 b(alen)m(t)38
26586 b(to)f(subpro)s(cess)0 3571 y(1)43 b(with)h Fq(MSTP\(43\)=3)p
26587 Fw(;)52 b(ho)m(w)m(ev)m(er,)d(pro)s(cess)c(141)d(also)h(includes)h(the)
26588 g(p)s(ossibilit)m(y)e(of)h(a)g(deca)m(y)i(in)m(to)0 3679
26589 y(Higgses.)c(Also)24 b(pro)s(cesses)j(15,)e(19,)h(30)e(and)h(35)f(con)m
26590 (tain)g(the)h(full)e(mixture)h(of)g Fj(\015)2915 3643
26591 y Fk(\003)2954 3679 y Fj(=)p Fw(Z)3063 3643 y Fl(0)3102
26592 3679 y Fw(,)i(with)e Fq(MSTP\(43\))0 3787 y Fw(a)m(v)-5
26593 b(ailable)28 b(to)h(c)m(hange)i(this.)43 b(Only)29 b(the)i(Z)1527
26594 3751 y Fl(0)1596 3787 y Fw(that)f(app)s(ears)g(in)g(pro)s(cess)h(131)e
26595 (do)s(es)i(not)f(con)m(tain)g(the)g Fj(\015)3740 3751
26596 y Fk(\003)0 3896 y Fw(con)m(tribution.)146 4004 y(Note)39
26597 b(that)f(pro)s(cess)i(1,)g(with)e(only)g(q)p 1566 3951
26598 52 4 v(q)g Fn(!)f Fj(\015)1848 3968 y Fk(\003)1926 4004
26599 y Fn(!)g Fj(`)2104 3968 y Fl(+)2163 4004 y Fj(`)2204
26600 3968 y Fk(\000)2301 4004 y Fw(allo)m(w)m(ed,)i(and)g(studied)g(in)f
26601 (the)g(region)0 4113 y(w)m(ell)g(b)s(elo)m(w)g(the)g(Z)719
26602 4076 y Fl(0)797 4113 y Fw(mass,)i(is)d(what)i(is)f(con)m(v)m(en)m
26603 (tionally)g(called)f(Drell{Y)-8 b(an.)58 b(This)39 b(latter)e(pro)s
26604 (cess)0 4221 y(therefore)i(do)s(es)g(not)f(app)s(ear)g(under)h(a)f
26605 (separate)h(heading,)h(but)e(can)h(b)s(e)f(obtained)g(b)m(y)h(a)f
26606 (suitable)0 4329 y(setting)32 b(of)g(switc)m(hes)j(and)d(parameters.)
26607 146 4438 y(A)37 b(pro)s(cess)h(lik)m(e)e(f)813 4453 y
26608 Fh(i)p 841 4358 37 4 v 841 4438 a Fw(f)878 4453 y Fh(j)950
26609 4438 y Fn(!)e Fj(\015)5 b Fw(W)1241 4401 y Fl(+)1338
26610 4438 y Fw(is)36 b(only)h(included)f(in)g(the)h(limit)d(that)i(the)i
26611 Fj(\015)k Fw(is)36 b(emitted)g(in)g(the)0 4546 y(`initial)28
26612 b(state',)k(while)f(the)h(p)s(ossibilit)m(y)d(of)i(a)g(\014nal-state)g
26613 (radiation)e(o\013)i(the)h(W)2950 4510 y Fl(+)3041 4546
26614 y Fw(deca)m(y)h(pro)s(ducts)f(is)0 4654 y(not)i(explicitly)d(included)j
26615 (\(but)g(can)g(b)s(e)g(obtained)f(implicitly)c(b)m(y)35
26616 b(the)f(parton-sho)m(w)m(er)h(mac)m(hinery\))0 4763 y(and)42
26617 b(v)-5 b(arious)40 b(in)m(terference)j(terms)e(are)h(not)f(at)g(all)e
26618 (presen)m(t.)72 b(Some)41 b(caution)g(m)m(ust)g(therefore)h(b)s(e)0
26619 4871 y(exercised;)34 b(see)g(also)e(section)g(8.3.5)g(for)g(related)h
26620 (commen)m(ts.)146 4979 y(F)-8 b(or)44 b(the)i(2)i Fn(!)g
26621 Fw(1)d(pro)s(cesses,)50 b(the)45 b(Breit{Wigner)e(includes)i(an)k(^)-53
26622 b Fj(s)p Fw(-dep)s(enden)m(t)46 b(width,)i(whic)m(h)0
26623 5088 y(should)38 b(pro)m(vide)g(an)g(impro)m(v)m(ed)g(description)g(of)
26624 f(line)g(shap)s(es.)61 b(In)38 b(fact,)i(from)d(a)g(line-shap)s(e)g(p)s
26625 (oin)m(t)0 5196 y(of)32 b(view,)g(pro)s(cess)i(1)e(should)g(pro)m(vide)
26626 g(a)g(more)g(accurate)h(sim)m(ulation)c(of)j(e)2781 5160
26627 y Fl(+)2840 5196 y Fw(e)2883 5160 y Fk(\000)2975 5196
26628 y Fw(annihilation)c(ev)m(en)m(ts)0 5304 y(than)40 b(the)g(dedicated)h
26629 (e)900 5268 y Fl(+)959 5304 y Fw(e)1002 5268 y Fk(\000)1102
26630 5304 y Fw(generation)e(sc)m(heme)i(of)47 b Fm(Jetset)38
26631 b Fw(\(see)j(section)g(6.1\).)65 b(Ho)m(w)m(ev)m(er,)44
26632 b(the)0 5413 y Fj(p)49 5428 y Fk(?)146 5413 y Fw(distribution)37
26633 b(of)h(radiated)f(initial-state)e(photons)k(is)f(probably)g(still)e(b)s
26634 (etter)j(mo)s(delled)d(in)i(the)0 5521 y Fm(Jetset)21
26635 b Fw(routines.)40 b(Another)22 b(di\013erence)h(is)f(that)g
26636 Fm(Jetset)f Fw(only)g(allo)m(ws)g(the)i(generation)e(of)h
26637 Fj(\015)3465 5485 y Fk(\003)3504 5521 y Fj(=)p Fw(Z)3613
26638 5485 y Fl(0)3680 5521 y Fn(!)0 5629 y Fw(q)p 51 5576
26639 52 4 v(q)q(,)40 b(while)d(pro)s(cess)i(1)f(additionally)d(con)m(tains)j
26640 Fj(\015)1851 5593 y Fk(\003)1891 5629 y Fj(=)p Fw(Z)2000
26641 5593 y Fl(0)2076 5629 y Fn(!)e Fj(`)2253 5593 y Fl(+)2312
26642 5629 y Fj(`)2353 5593 y Fk(\000)2450 5629 y Fw(and)j
26643 Fj(\015)2702 5593 y Fk(\003)2741 5629 y Fj(=)p Fw(Z)2850
26644 5593 y Fl(0)2926 5629 y Fn(!)e Fj(\027)p 3117 5576 55
26645 4 v 6 w(\027)7 b Fw(.)60 b(The)39 b(parton-)1817 5953
26646 y(126)p eop
26647 %%Page: 127 133
26648 127 132 bop 0 -18 a Fw(sho)m(w)m(er)29 b(and)d(fragmen)m(tation)f
26649 (descriptions)i(are)g(the)g(same,)h(but)f(the)g Fm(Pythia)g
26650 Fw(implemen)m(tation)d(has)0 90 y(not)36 b(b)s(een)h(in)m(terfaced)g
26651 (with)f(the)g(\014rst-)h(and)f(second-order)i(matrix-elemen)m(t)c
26652 (options)h(a)m(v)-5 b(ailable)34 b(in)0 198 y Fm(Jetset)p
26653 Fw(.)146 307 y(Almost)d(all)e(pro)s(cesses)34 b(in)d(this)g(group)h(ha)
26654 m(v)m(e)h(b)s(een)f(included)f(with)h(the)g(correct)g(angular)e
26655 (distri-)0 415 y(bution)f(in)h(the)g(subsequen)m(t)j(W)q
26656 Fj(=)p Fw(Z)28 b Fn(!)f Fw(f)p 1482 336 37 4 v 7 w(f)37
26657 b(deca)m(ys.)45 b(The)31 b(exception)f(is)g(pro)s(cess)h(36,)f(where)i
26658 (curren)m(tly)0 523 y(the)h(W)h(deca)m(ys)h(isotropically)-8
26659 b(.)146 632 y(The)36 b(pro)s(cess)g(e)734 595 y Fl(+)793
26660 632 y Fw(e)836 595 y Fk(\000)927 632 y Fn(!)31 b Fw(e)1101
26661 595 y Fl(+)1161 632 y Fw(e)1204 595 y Fk(\000)1263 632
26662 y Fw(Z)1323 595 y Fl(0)1397 632 y Fw(can)k(b)s(e)g(sim)m(ulated)e(in)h
26663 (t)m(w)m(o)i(di\013eren)m(t)f(w)m(a)m(ys.)51 b(One)36
26664 b(is)e(to)g(mak)m(e)0 740 y(use)45 b(of)e(the)i(e)f(`sea')h
26665 (distribution)d(inside)h(e,)k(i.e.)78 b(ha)m(v)m(e)45
26666 b(splittings)d(e)47 b Fn(!)g Fj(\015)52 b Fn(!)47 b Fw(e.)78
26667 b(This)44 b(can)g(b)s(e)0 848 y(obtained,)30 b(together)h(with)f
26668 (ordinary)f(Z)1479 812 y Fl(0)1549 848 y Fw(pro)s(duction,)h(b)m(y)h
26669 (using)f(subpro)s(cess)i(1,)f(with)f Fq(MSTP\(11\)=1)0
26670 957 y Fw(and)k Fq(MSTP\(12\)=1)p Fw(.)49 b(Then)34 b(the)g(con)m
26671 (tribution)f(of)g(the)h(t)m(yp)s(e)h(ab)s(o)m(v)m(e)f(is)f(5.0)g(pb)h
26672 (for)f(a)g(500)g(GeV)h(e)3618 920 y Fl(+)3677 957 y Fw(e)3720
26673 920 y Fk(\000)0 1065 y Fw(collider,)40 b(compared)f(with)h(the)g
26674 (correct)g(6.2)g(pb)g([Hag91)o(].)66 b(Alternativ)m(ely)39
26675 b(one)h(ma)m(y)f(use)i(pro)s(cess)0 1173 y(35,)31 b(with)h
26676 Fq(MSTP\(11\)=1)i Fw(and)e Fq(MSTP\(12\)=0)p Fw(.)46
26677 b(T)-8 b(o)31 b(catc)m(h)i(the)f(singularit)m(y)e(in)h(the)h(forw)m
26678 (ard)f(direction,)0 1282 y(regularized)j(b)m(y)i(the)g(electron)f
26679 (mass,)h(it)e(is)h(necessary)j(to)d(set)h Fq(CKIN\(3\)=CKIN\(5\)=0.01)k
26680 Fw(|)35 b(using)0 1390 y(lo)m(w)m(er)e(v)-5 b(alues)32
26681 b(will)f(only)h(slo)m(w)h(do)m(wn)g(execution,)h(not)e(signi\014can)m
26682 (tly)g(increasing)g(the)h(cross)g(section.)0 1498 y(One)h(then)h
26683 (obtains)e(5.1)g(pb,)i(i.e.)47 b(again)32 b(20\045)i(b)s(elo)m(w)f(the)
26684 i(correct)f(v)-5 b(alue,)34 b(but)g(no)m(w)g(also)f(generates)0
26685 1607 y(a)f Fj(p)130 1622 y Fk(?)222 1607 y Fw(distribution)e(for)i(the)
26686 h(Z)1130 1571 y Fl(0)1170 1607 y Fw(;)f(this)g(is)g(therefore)i(to)e(b)
26687 s(e)h(preferred.)146 1715 y(Pro)s(cess)42 b(36,)f(f)7
26688 b Fj(\015)45 b Fn(!)40 b Fw(f)982 1679 y Fk(0)1005 1715
26689 y Fw(W)1106 1679 y Fk(\006)1205 1715 y Fw(ma)m(y)g(ha)m(v)m(e)h
26690 (corresp)s(onding)f(problems;)j(except)f(that)d(in)g(e)3442
26691 1679 y Fl(+)3502 1715 y Fw(e)3545 1679 y Fk(\000)3644
26692 1715 y Fw(the)0 1823 y(forw)m(ard)f(scattering)f(amplitude)f(for)h(e)p
26693 Fj(\015)42 b Fn(!)36 b Fj(\027)6 b Fw(W)40 b(is)d(killed)f(\(radiation)
26694 f(zero\),)40 b(whic)m(h)e(means)g(that)0 1932 y(the)h(di\013eren)m
26695 (tial)e(cross)i(section)g(is)f(v)-5 b(anishing)38 b(for)g
26696 Fj(p)1991 1947 y Fk(?)2088 1932 y Fn(!)f Fw(0.)62 b(It)38
26697 b(is)g(therefore)i(feasible)d(to)h(use)i(the)0 2040 y(default)f
26698 Fq(CKIN\(3\))j Fw(and)f Fq(CKIN\(5\))g Fw(v)-5 b(alues)40
26699 b(in)g(e)1793 2004 y Fl(+)1852 2040 y Fw(e)1895 2004
26700 y Fk(\000)1955 2040 y Fw(,)i(and)e(one)g(also)f(comes)i(closer)f(to)f
26701 (the)i(correct)0 2148 y(cross)34 b(section.)146 2257
26702 y(One)23 b(single)f(true)h(2)k Fn(!)h Fw(3)22 b(pro)s(cess)i(is)e
26703 (included)h(in)e(this)i(class)g(as)f(w)m(ell;)k(namely)21
26704 b(gg)29 b Fn(!)e Fw(Z)3347 2221 y Fl(0)3386 2257 y Fw(Q)p
26705 3462 2179 76 4 v(Q,)e(with)0 2365 y(full)i(massiv)m(e)i(matrix)e
26706 (elemen)m(ts.)42 b(The)30 b(more)e(complicated)f(phase)j(space)g(and)e
26707 (the)i(length)m(y)e(matrix-)0 2473 y(elemen)m(t)34 b(ev)-5
26708 b(aluations)32 b(mak)m(e)i(this)g(pro)s(cess)h(extremely)f(slo)m(w.)48
26709 b(With)33 b(the)h(quark)h(\015a)m(v)m(our)g(pic)m(k)m(ed)g(to)0
26710 2582 y(b)s(e)h(b,)i(it)d(ma)m(y)h(form)f(an)h(imp)s(ortan)m(t)e(bac)m
26711 (kground)j(to)f(in)m(termediate)f(mass)h(Higgs)f(searc)m(hes)k(in)c
26712 (the)0 2690 y(m)m(ultilepton)f(c)m(hannel.)58 b(The)38
26713 b(quark)g(\015a)m(v)m(our)g(is)e(stored)i(in)e Fq(KFPR\(131,2\))p
26714 Fw(;)43 b(the)37 b(default)f(is)h(5)e(=)g(b.)0 2798 y(The)26
26715 b(kinematics)f(is)f(set)i(up)g(in)e(terms)i(of)f(a)g(Z)1650
26716 2762 y Fl(0)1714 2798 y Fw(recoiling)e(against)h(the)i(Q)p
26717 2663 2720 V(Q)f(system,)j(and)d(all)e(ordinary)0 2907
26718 y(kinematics)39 b(cut)i(for)f(a)g(2)h Fn(!)f Fw(2)g(pro)s(cess)i(can)f
26719 (b)s(e)f(used)i(on)e(this)g(lev)m(el,)i(including)e Fq(CKIN\(43\))i
26720 Fw(and)0 3015 y Fq(CKIN\(44\))g Fw(to)d(restrict)h(the)g(range)g(of)f
26721 (the)i(Q)p 1738 2937 V(Q)e(in)m(v)-5 b(arian)m(t)38 b(mass.)66
26722 b(In)40 b(addition,)g(for)f(this)g(pro)s(cess)0 3123
26723 y(alone,)25 b Fq(CKIN\(51\))54 b(-)d(CKIN\(54\))27 b
26724 Fw(can)e(b)s(e)g(used)g(to)g(set)g(the)g Fj(p)2249 3138
26725 y Fk(?)2333 3123 y Fw(range)f(of)g(the)h(t)m(w)m(o)g(quarks;)k(as)c(is)
26726 f(to)g(b)s(e)0 3232 y(exp)s(ected,)33 b(that)e(of)g(the)g(Z)978
26727 3196 y Fl(0)1048 3232 y Fw(is)g(set)h(b)m(y)h Fq(CKIN\(3\))53
26728 b(-)f(CKIN\(4\))p Fw(.)44 b(Since)32 b(the)f(optimization)d(pro)s
26729 (cedure)0 3340 y(is)47 b(not)g(set)g(up)h(to)f(prob)s(e)g(the)h(full)d
26730 (m)m(ultidimensional)d(phase)48 b(space)h(allo)m(w)m(ed)d(in)g(this)h
26731 (pro)s(cess,)0 3448 y(maxim)m(um)26 b(violations)g(ma)m(y)i(b)s(e)h
26732 (quite)f(large.)41 b(It)28 b(ma)m(y)g(then)h(b)s(e)g(useful)f(to)g(mak)
26733 m(e)g(a)g(preliminary)e(run)0 3557 y(to)36 b(\014nd)g(ho)m(w)h(big)e
26734 (the)h(violations)e(are)i(in)f(total,)g(and)h(then)h(use)g(the)f
26735 Fq(MSTP\(121\)=1)j Fw(option)c(in)g(the)0 3665 y(full)c(run.)0
26736 3913 y Fo(8.3.5)112 b Fw(W)q Fj(=)p Fw(Z)38 b Fo(pair)f(pro)s(duction)0
26737 4086 y Fq(MSEL)d Fw(=)e(15)0 4194 y(ISUB)h(=)50 4290
26738 y(22)99 b(f)277 4305 y Fh(i)p 305 4211 37 4 v 305 4290
26739 a Fw(f)342 4305 y Fh(i)398 4290 y Fn(!)27 b Fw(\()p Fj(\015)619
26740 4254 y Fk(\003)658 4290 y Fj(=)p Fw(Z)767 4254 y Fl(0)806
26741 4290 y Fw(\)\()p Fj(\015)938 4254 y Fk(\003)977 4290
26742 y Fj(=)p Fw(Z)1086 4254 y Fl(0)1125 4290 y Fw(\))50 4411
26743 y(23)99 b(f)277 4426 y Fh(i)p 305 4331 V 305 4411 a Fw(f)342
26744 4426 y Fh(j)406 4411 y Fn(!)27 b Fw(Z)593 4374 y Fl(0)632
26745 4411 y Fw(W)733 4374 y Fl(+)50 4531 y Fw(25)99 b(f)277
26746 4546 y Fh(i)p 305 4452 V 305 4531 a Fw(f)342 4546 y Fh(i)398
26747 4531 y Fn(!)27 b Fw(W)626 4495 y Fl(+)685 4531 y Fw(W)786
26748 4495 y Fk(\000)50 4651 y Fw(69)99 b Fj(\015)5 b(\015)33
26749 b Fn(!)27 b Fw(W)615 4615 y Fl(+)675 4651 y Fw(W)776
26750 4615 y Fk(\000)50 4772 y Fw(70)99 b Fj(\015)5 b Fw(W)404
26751 4736 y Fl(+)491 4772 y Fn(!)28 b Fw(Z)679 4736 y Fl(0)718
26752 4772 y Fw(W)819 4736 y Fl(+)146 4887 y Fw(In)d(this)f(section)g(w)m(e)h
26753 (mainly)d(consider)i(the)h(pro)s(duction)e(of)h(W)q Fj(=)p
26754 Fw(Z)g(pairs)g(b)m(y)h(fermion{an)m(tifermion)0 4996
26755 y(annihilation,)36 b(but)i(also)f(include)h(t)m(w)m(o)g(pro)s(cesses)i
26756 (whic)m(h)f(in)m(v)m(olv)m(e)f Fj(\015)5 b(=)p Fw(W)39
26757 b(b)s(eams.)60 b(Scatterings)38 b(b)s(e-)0 5104 y(t)m(w)m(een)g
26758 (gauge-b)s(oson)d(pairs,)h(i.e.)53 b(pro)s(cesses)38
26759 b(lik)m(e)d(W)1995 5068 y Fl(+)2055 5104 y Fw(W)2156
26760 5068 y Fk(\000)2249 5104 y Fn(!)e Fw(Z)2442 5068 y Fl(0)2481
26761 5104 y Fw(Z)2541 5068 y Fl(0)2580 5104 y Fw(,)k(dep)s(end)g(so)f
26762 (crucially)e(on)i(the)0 5212 y(assumed)d(Higgs)f(scenario)h(that)f
26763 (they)h(are)g(considered)g(separately)g(in)f(section)h(8.4.2.)146
26764 5321 y(The)f(cross)g(sections)g(used)g(for)e(the)h(ab)s(o)m(v)m(e)h
26765 (pro)s(cesses)h(are)e(those)h(deriv)m(ed)f(in)f(the)i(narro)m(w-width)0
26766 5429 y(limit,)53 b(but)f(ha)m(v)m(e)g(b)s(een)h(extended)g(to)e
26767 (include)g(Breit{Wigner)f(shap)s(es)j(with)e(mass-dep)s(enden)m(t)0
26768 5537 y(widths.)94 b(Ho)m(w)m(ev)m(er,)56 b(one)50 b(should)f(realize)f
26769 (that)h(other)h(graphs,)k(not)49 b(included)g(here,)54
26770 b(can)c(con-)0 5646 y(tribute)i(in)g(regions)g(a)m(w)m(a)m(y)i(from)d
26771 (the)i(W)q Fj(=)p Fw(Z)f(mass.)104 b(This)53 b(problem)e(is)h(esp)s
26772 (ecially)f(imp)s(ortan)m(t)1817 5953 y(127)p eop
26773 %%Page: 128 134
26774 128 133 bop 0 -18 a Fw(if)48 b(sev)m(eral)i(\015a)m(v)m(ours)g
26775 (coincide)f(in)f(the)h(four-fermion)e(\014nal)h(state.)94
26776 b(Consider,)54 b(as)49 b(an)g(example,)0 90 y(e)43 54
26777 y Fl(+)102 90 y Fw(e)145 54 y Fk(\000)242 90 y Fn(!)38
26778 b Fj(\026)439 54 y Fl(+)497 90 y Fj(\026)556 54 y Fk(\000)615
26779 90 y Fj(\027)663 105 y Fh(\026)p 710 37 55 4 v 710 90
26780 a Fj(\027)764 105 y Fh(\026)811 90 y Fw(.)61 b(Not)38
26781 b(only)g(w)m(ould)g(suc)m(h)i(a)e(\014nal)g(state)h(receiv)m(e)g(con)m
26782 (tributions)f(from)f(in)m(ter-)0 198 y(mediate)e(Z)432
26783 162 y Fl(0)471 198 y Fw(Z)531 162 y Fl(0)605 198 y Fw(and)h(W)899
26784 162 y Fl(+)959 198 y Fw(W)1060 162 y Fk(\000)1155 198
26785 y Fw(states,)h(but)f(also)f(from)f(pro)s(cesses)k(e)2545
26786 162 y Fl(+)2604 198 y Fw(e)2647 162 y Fk(\000)2740 198
26787 y Fn(!)32 b Fw(Z)2932 162 y Fl(0)3004 198 y Fn(!)g Fj(\026)3195
26788 162 y Fl(+)3254 198 y Fj(\026)3313 162 y Fk(\000)3372
26789 198 y Fw(,)k(follo)m(w)m(ed)0 307 y(either)d(b)m(y)h
26790 Fj(\026)472 270 y Fl(+)560 307 y Fn(!)28 b Fj(\026)747
26791 270 y Fl(+)806 307 y Fw(Z)866 270 y Fl(0)934 307 y Fn(!)h
26792 Fj(\026)1122 270 y Fl(+)1180 307 y Fj(\027)1228 322 y
26793 Fh(\026)p 1275 254 V 1275 307 a Fj(\027)1330 322 y Fh(\026)1376
26794 307 y Fw(,)34 b(or)f(b)m(y)h Fj(\026)1752 270 y Fl(+)1840
26795 307 y Fn(!)p 1968 254 V 28 w Fj(\027)2023 322 y Fh(\026)2069
26796 307 y Fw(W)2170 270 y Fl(+)2259 307 y Fn(!)p 2387 254
26797 V 28 w Fj(\027)2442 322 y Fh(\026)2488 307 y Fj(\026)2547
26798 270 y Fl(+)2606 307 y Fj(\027)2654 322 y Fh(\026)2701
26799 307 y Fw(.)46 b(In)33 b(addition,)f(all)f(p)s(ossible)0
26800 415 y(in)m(terferences)36 b(should)e(b)s(e)g(considered.)49
26801 b(Since)34 b(this)g(is)f(not)h(done,)h(the)g(pro)s(cesses)h(ha)m(v)m(e)
26802 f(to)f(b)s(e)g(used)0 523 y(with)i(some)h(sound)h(judgemen)m(t.)56
26803 b(V)-8 b(ery)38 b(often,)g(one)f(ma)m(y)g(wish)g(to)f(constrain)h(a)f
26804 (lepton)h(pair)f(mass)0 632 y(to)31 b(b)s(e)g(close)h(to)f
26805 Fj(m)685 647 y Fl(Z)732 632 y Fw(,)h(in)e(whic)m(h)i(case)g(a)f(n)m(um)
26806 m(b)s(er)h(of)f(the)h(p)s(ossible)e(`other')i(pro)s(cesses)h(are)e
26807 (negligible.)146 740 y(Of)44 b(the)g(ab)s(o)m(v)m(e)g(pro)s(cesses,)k
26808 (the)c(\014rst)h(con)m(tains)e(the)h(full)e(f)2400 755
26809 y Fh(i)p 2428 661 37 4 v 2428 740 a Fw(f)2465 755 y Fh(i)2539
26810 740 y Fn(!)k Fw(\()p Fj(\015)2779 704 y Fk(\003)2819
26811 740 y Fj(=)p Fw(Z)2928 704 y Fl(0)2966 740 y Fw(\)\()p
26812 Fj(\015)3098 704 y Fk(\003)3138 740 y Fj(=)p Fw(Z)3247
26813 704 y Fl(0)3286 740 y Fw(\))d(structure,)0 848 y(obtained)29
26814 b(b)m(y)i(a)e(straigh)m(tforw)m(ard)h(generalization)d(of)j(the)g(form)
26815 m(ulae)e(in)h(ref.)43 b([Gun86)o(])30 b(\(done)g(b)m(y)h(the)0
26816 957 y(presen)m(t)40 b(author\).)60 b(Of)38 b(course,)j(the)d(p)s
26817 (ossibilit)m(y)e(of)i(there)h(b)s(eing)f(signi\014can)m(t)f(con)m
26818 (tributions)h(from)0 1065 y(graphs)28 b(that)f(are)g(not)g(included)g
26819 (is)f(increased,)j(in)e(particular)e(if)h(one)i Fj(\015)2631
26820 1029 y Fk(\003)2698 1065 y Fw(is)e(v)m(ery)j(ligh)m(t)d(and)h
26821 (therefore)0 1173 y(could)f(b)s(e)g(a)g(bremsstrahlung-t)m(yp)s(e)h
26822 (photon.)41 b(It)27 b(is)f(p)s(ossible)f(to)h(use)i Fq(MSTP\(43\))g
26823 Fw(to)e(reco)m(v)m(er)i(the)f(pure)0 1282 y(Z)60 1245
26824 y Fl(0)127 1282 y Fw(case,)i(i.e.)42 b(f)553 1297 y Fh(i)p
26825 581 1202 V 581 1282 a Fw(f)618 1297 y Fh(i)673 1282 y
26826 Fn(!)28 b Fw(Z)861 1245 y Fl(0)900 1282 y Fw(Z)960 1245
26827 y Fl(0)1026 1282 y Fw(exclusiv)m(ely)-8 b(.)43 b(In)28
26828 b(pro)s(cesses)i(23)d(and)h(70,)g(only)f(the)h(pure)h(Z)3190
26829 1245 y Fl(0)3257 1282 y Fw(con)m(tribution)0 1390 y(is)j(included.)146
26830 1498 y(F)-8 b(ull)23 b(angular)g(correlations)g(are)i(included)f(for)g
26831 (the)h(\014rst)g(three)g(pro)s(cesses,)k(i.e.)40 b(the)25
26832 b(full)e(2)k Fn(!)g Fw(2)h Fn(!)0 1607 y Fw(4)33 b(matrix)e(elemen)m
26833 (ts)j(are)f(included)g(in)f(the)i(resonance)g(deca)m(ys,)h(including)c
26834 (the)j(appropriate)e Fj(\015)3592 1571 y Fk(\003)3632
26835 1607 y Fj(=)p Fw(Z)3741 1571 y Fl(0)0 1715 y Fw(in)m(terference)42
26836 b(in)d(pro)s(cess)j(22.)66 b(In)41 b(the)g(latter)e(t)m(w)m(o)i(pro)s
26837 (cesses)i(no)d(spin)h(information)c(is)j(curren)m(tly)0
26838 1823 y(preserv)m(ed,)35 b(i.e.)43 b(the)33 b(W)q Fj(=)p
26839 Fw(Z)g(b)s(osons)g(are)f(allo)m(w)m(ed)g(to)g(deca)m(y)i(isotropically)
26840 -8 b(.)146 1932 y(W)g(e)48 b(remind)f(y)m(ou)h(that)g(the)g(mass)g
26841 (ranges)g(of)f(the)h(t)m(w)m(o)g(resonances)i(ma)m(y)d(b)s(e)h(set)h
26842 (with)e(the)0 2040 y Fq(CKIN\(41\))53 b(-)f(CKIN\(44\))41
26843 b Fw(parameters;)i(this)c(is)f(particularly)f(con)m(v)m(enien)m(t,)43
26844 b(for)c(instance,)i(to)e(pic)m(k)0 2148 y(one)33 b(resonance)h(almost)d
26845 (on)h(the)h(mass)g(shell)e(and)i(the)g(other)g(not.)0
26846 2422 y Fp(8.4)135 b(Higgs)46 b(Pro)t(duction)0 2595 y
26847 Fw(A)33 b(fair)f(fraction)f(of)i(all)e(the)i(pro)s(cesses)i(in)d
26848 Fm(Pythia)h Fw(deal)g(with)f(Higgs)g(pro)s(duction)h(in)f(one)h(form)f
26849 (or)0 2703 y(another.)41 b(This)23 b(m)m(ultiplication)c(is)k(caused)i
26850 (b)m(y)f(the)g(need)h(to)e(consider)h(pro)s(duction)f(b)m(y)h(sev)m
26851 (eral)h(di\013er-)0 2812 y(en)m(t)i(pro)s(cesses,)j(dep)s(ending)d(on)g
26852 (Higgs)e(mass)i(and)g(mac)m(hine)f(t)m(yp)s(e.)42 b(F)-8
26853 b(urther,)28 b(the)f(program)e(con)m(tains)0 2920 y(a)37
26854 b(full)f(t)m(w)m(o-Higgs-m)m(ultiplet)e(scenario,)k(as)g(predicted)g
26855 (for)f(example)f(in)h(the)h(Minimal)c(Sup)s(ersym-)0
26856 3028 y(metric)f(extension)i(of)f(the)h(Standard)f(Mo)s(del)g(\(MSSM\).)
26857 h(Therefore)h(the)e(con)m(tin)m(ued)h(discussion)g(is,)0
26858 3137 y(somewhat)e(arbitrarily)-8 b(,)30 b(sub)s(divided)i(in)m(to)g(a)g
26859 (few)h(di\013eren)m(t)g(scenarios.)0 3384 y Fo(8.4.1)112
26860 b(Ligh)m(t)37 b(Standard)i(Mo)s(del)e(Higgs)0 3557 y
26861 Fq(MSEL)d Fw(=)e(16,)g(17,)g(18)0 3665 y(ISUB)h(=)147
26862 3762 y(3)100 b(f)326 3777 y Fh(i)p 354 3682 V 354 3762
26863 a Fw(f)391 3777 y Fh(i)446 3762 y Fn(!)28 b Fw(H)647
26864 3725 y Fl(0)99 3882 y Fw(24)99 b(f)326 3897 y Fh(i)p
26865 354 3803 V 354 3882 a Fw(f)391 3897 y Fh(i)446 3882 y
26866 Fn(!)28 b Fw(Z)634 3846 y Fl(0)673 3882 y Fw(H)746 3846
26867 y Fl(0)99 4002 y Fw(26)99 b(f)326 4017 y Fh(i)p 354 3923
26868 V 354 4002 a Fw(f)391 4017 y Fh(j)455 4002 y Fn(!)27
26869 b Fw(W)683 3966 y Fl(+)743 4002 y Fw(H)816 3966 y Fl(0)50
26870 4123 y Fw(102)99 b(gg)28 b Fn(!)g Fw(H)623 4087 y Fl(0)50
26871 4243 y Fw(103)99 b Fj(\015)5 b(\015)32 b Fn(!)c Fw(H)636
26872 4207 y Fl(0)50 4364 y Fw(110)99 b(f)326 4379 y Fh(i)p
26873 354 4284 V 354 4364 a Fw(f)391 4379 y Fh(i)446 4364 y
26874 Fn(!)28 b Fj(\015)5 b Fw(H)703 4327 y Fl(0)50 4484 y
26875 Fw(111)99 b(f)326 4499 y Fh(i)p 354 4405 V 354 4484 a
26876 Fw(f)391 4499 y Fh(i)446 4484 y Fn(!)28 b Fw(gH)696 4448
26877 y Fl(0)50 4604 y Fw(112)99 b(f)326 4619 y Fh(i)354 4604
26878 y Fw(g)29 b Fn(!)e Fw(f)589 4619 y Fh(i)617 4604 y Fw(H)690
26879 4568 y Fl(0)50 4725 y Fw(113)99 b(gg)28 b Fn(!)g Fw(gH)672
26880 4689 y Fl(0)50 4845 y Fw(121)99 b(gg)28 b Fn(!)g Fw(Q)626
26881 4860 y Fh(k)p 668 4767 76 4 v 668 4845 a Fw(Q)744 4869
26882 y Fh(k)787 4845 y Fw(H)860 4809 y Fl(0)50 4965 y Fw(122)99
26883 b(q)347 4980 y Fh(i)p 375 4913 52 4 v 375 4965 a Fw(q)427
26884 4989 y Fh(i)483 4965 y Fn(!)27 b Fw(Q)686 4980 y Fh(k)p
26885 729 4887 76 4 v 729 4965 a Fw(Q)804 4989 y Fh(k)847 4965
26886 y Fw(H)920 4929 y Fl(0)50 5086 y Fw(123)99 b(f)326 5101
26887 y Fh(i)354 5086 y Fw(f)384 5101 y Fh(j)448 5086 y Fn(!)27
26888 b Fw(f)605 5101 y Fh(i)633 5086 y Fw(f)663 5101 y Fh(j)699
26889 5086 y Fw(H)772 5050 y Fl(0)844 5086 y Fw(\(Z)942 5050
26890 y Fl(0)981 5086 y Fw(Z)1041 5050 y Fl(0)1113 5086 y Fw(fusion\))50
26891 5206 y(124)99 b(f)326 5221 y Fh(i)354 5206 y Fw(f)384
26892 5221 y Fh(j)448 5206 y Fn(!)27 b Fw(f)605 5221 y Fh(k)648
26893 5206 y Fw(f)678 5221 y Fh(l)703 5206 y Fw(H)776 5170
26894 y Fl(0)848 5206 y Fw(\(W)987 5170 y Fl(+)1047 5206 y
26895 Fw(W)1148 5170 y Fk(\000)1240 5206 y Fw(fusion\))146
26896 5316 y(In)k(this)f(section)h(w)m(e)h(discuss)g(the)f(pro)s(duction)f
26897 (of)g(a)g(reasonably)g(ligh)m(t)f(Standard)i(Mo)s(del)f(Higgs,)0
26898 5425 y(b)s(elo)m(w)44 b(700)f(GeV,)h(sa)m(y)-8 b(,)48
26899 b(so)c(that)g(the)g(narro)m(w)g(width)g(appro)m(ximation)e(can)i(b)s(e)
26900 g(used)h(with)f(some)0 5533 y(con\014dence.)71 b(Belo)m(w)41
26901 b(400)g(GeV)g(there)g(w)m(ould)h(certainly)e(b)s(e)h(no)g(trouble,)i
26902 (while)d(ab)s(o)m(v)m(e)i(that)f(the)0 5641 y(narro)m(w)33
26903 b(width)f(appro)m(ximation)f(is)h(gradually)f(starting)g(to)h(break)i
26904 (do)m(wn.)1817 5953 y(128)p eop
26905 %%Page: 129 135
26906 129 134 bop 146 -18 a Fw(In)28 b(a)g(hadron)f(collider,)g(the)h(main)e
26907 (pro)s(duction)h(pro)s(cesses)j(are)e(102,)g(123)f(and)g(124,)h(i.e.)42
26908 b(gg)q(,)28 b(Z)3641 -55 y Fl(0)3680 -18 y Fw(Z)3740
26909 -55 y Fl(0)0 90 y Fw(and)35 b(W)293 54 y Fl(+)353 90
26910 y Fw(W)454 54 y Fk(\000)549 90 y Fw(fusion.)51 b(In)35
26911 b(the)h(latter)e(t)m(w)m(o)i(pro)s(cesses,)i(it)c(is)h(also)f
26912 (necessary)j(to)e(tak)m(e)h(in)m(to)f(accoun)m(t)0 198
26913 y(the)43 b(emission)e(of)h(the)h(space-lik)m(e)g(W)q
26914 Fj(=)p Fw(Z)f(b)s(osons)h(o\013)f(quarks,)47 b(whic)m(h)c(in)e(total)g
26915 (giv)m(es)i(the)g(2)i Fn(!)f Fw(3)0 307 y(pro)s(cesses)35
26916 b(ab)s(o)m(v)m(e.)146 415 y(F)-8 b(urther)35 b(pro)s(cesses)i(of)d(lo)m
26917 (w)m(er)h(cross)h(sections)g(ma)m(y)e(b)s(e)h(of)g(in)m(terest)g(b)s
26918 (ecause)h(of)f(easier)g(signals.)0 523 y(F)-8 b(or)30
26919 b(instance,)i(pro)s(cesses)g(24)f(and)g(26)f(giv)m(e)h(asso)s(ciated)f
26920 (pro)s(duction)g(of)h(a)f(Z)h(or)f(a)h(W)h(together)f(with)0
26921 632 y(the)40 b(H)248 595 y Fl(0)287 632 y Fw(.)64 b(There)41
26922 b(is)e(also)g(the)g(pro)s(cesses)j(3,)f(121)e(and)g(122,)i(whic)m(h)f
26923 (in)m(v)m(olv)m(e)f(pro)s(duction)g(of)g(hea)m(vy)0 740
26924 y(\015a)m(v)m(ours.)146 848 y(Pro)s(cess)30 b(3)e(con)m(tains)g(con)m
26925 (tributions)g(from)f(all)f(\015a)m(v)m(ours,)31 b(but)d(is)g
26926 (completely)f(dominated)g(b)m(y)i(the)0 957 y(subpro)s(cess)34
26927 b(t)p 524 885 38 4 v(t)27 b Fn(!)h Fw(H)790 920 y Fl(0)829
26928 957 y Fw(,)k(i.e.)43 b(b)m(y)32 b(the)g(con)m(tribution)f(from)f(the)i
26929 (top)g(sea)g(distributions.)41 b(This)32 b(pro)s(cess)0
26930 1065 y(is)c(b)m(y)i(no)m(w)f(kno)m(wn)i(to)d(o)m(v)m(erestimate)h(the)g
26931 (cross)h(section)f(for)f(Higgs)g(pro)s(duction)g(as)h(compared)g(with)0
26932 1173 y(a)45 b(more)g(careful)g(calculation)e(based)j(on)f(the)h(subpro)
26933 s(cess)i(gg)i Fn(!)f Fw(t)p 2635 1102 V(tH)2746 1137
26934 y Fl(0)2831 1173 y Fw(\(121\).)81 b(The)47 b(di\013erence)0
26935 1282 y(b)s(et)m(w)m(een)42 b(the)e(t)m(w)m(o)g(is)f(that)g(in)g(pro)s
26936 (cess)i(3)e(the)h(t)g(and)p 2078 1210 V 39 w(t)g(are)f(added)h(b)m(y)h
26937 (the)f(initial-state)c(sho)m(w)m(er,)0 1390 y(while)29
26938 b(in)h(121)f(the)i(full)e(matrix)f(elemen)m(t)i(is)g(used.)44
26939 b(The)31 b(price)g(to)f(b)s(e)g(paid)g(is)f(that)h(the)h(complicated)0
26940 1498 y(m)m(ultib)s(o)s(dy)43 b(phase)j(space)g(in)f(pro)s(cess)h(121)f
26941 (mak)m(es)g(the)h(program)e(run)h(slo)m(w)m(er)h(than)f(with)g(most)0
26942 1607 y(other)35 b(pro)s(cesses.)52 b(One)35 b(should)g(therefore)g
26943 (think)f(t)m(wice)i(b)s(efore)e(using)h(it.)49 b(As)35
26944 b(usual,)g(it)f(w)m(ould)g(b)s(e)0 1715 y(double-coun)m(ting)27
26945 b(to)i(include)e(b)s(oth)i(3)f(and)g(121.)42 b(Pro)s(cess)29
26946 b(122)f(is)g(similar)d(in)j(structure)i(to)e(121,)g(but)0
26947 1823 y(is)k(less)i(imp)s(ortan)m(t.)42 b(In)33 b(b)s(oth)g(pro)s(cess)h
26948 (121)e(and)h(122)f(the)i(pro)s(duced)g(quark)f(is)g(assumed)g(to)g(b)s
26949 (e)g(a)f(t;)0 1932 y(this)g(can)h(b)s(e)g(c)m(hanged)g(in)f
26950 Fq(KFPR\(121,2\))k Fw(and)c Fq(KFPR\(122,2\))k Fw(b)s(efore)d
26951 (initialization,)27 b(ho)m(w)m(ev)m(er.)146 2040 y(A)41
26952 b(subpro)s(cess)j(lik)m(e)c(113,)i(with)f(a)g(Higgs)f(recoiling)f
26953 (against)h(a)h(gluon)f(jet,)j(is)e(also)f(e\013ectiv)m(ely)0
26954 2148 y(generated)f(b)m(y)g(initial-state)c(corrections)j(to)g(subpro)s
26955 (cess)i(102;)h(th)m(us,)f(in)e(order)g(to)g(a)m(v)m(oid)g(double-)0
26956 2257 y(coun)m(ting,)49 b(just)e(as)f(for)f(the)i(case)g(of)e(Z)1530
26957 2221 y Fl(0)1569 2257 y Fj(=)p Fw(W)1719 2221 y Fl(+)1824
26958 2257 y Fw(pro)s(duction,)k(section)d(8.3.4,)j(these)f(subpro)s(cesses)0
26959 2365 y(should)34 b(not)g(b)s(e)g(switc)m(hed)i(on)e(sim)m(ultaneously)
26960 -8 b(.)46 b(Pro)s(cess)36 b(102)d(should)h(b)s(e)h(used)g(for)e
26961 (inclusiv)m(e)h(pro-)0 2473 y(duction)d(of)g(Higgs,)g(and)g(111{113)f
26962 (for)g(the)i(study)h(of)d(the)i(Higgs)f(subsample)g(with)g(high)f
26963 (transv)m(erse)0 2582 y(momen)m(tum.)146 2690 y(In)j(e)311
26964 2654 y Fl(+)370 2690 y Fw(e)413 2654 y Fk(\000)505 2690
26965 y Fw(annihilation,)28 b(asso)s(ciated)k(pro)s(duction)g(of)g(an)g(H)
26966 2352 2654 y Fl(0)2423 2690 y Fw(with)g(a)g(Z)2786 2654
26967 y Fl(0)2825 2690 y Fw(,)g(pro)s(cess)i(24,)e(is)f(usually)0
26968 2798 y(the)e(dominan)m(t)f(one)h(close)g(to)f(threshold,)i(while)e(the)
26969 h(Z)2045 2762 y Fl(0)2084 2798 y Fw(Z)2144 2762 y Fl(0)2212
26970 2798 y Fw(and)g(W)2499 2762 y Fl(+)2559 2798 y Fw(W)2660
26971 2762 y Fk(\000)2748 2798 y Fw(fusion)f(pro)s(cesses)j(123)d(and)0
26972 2907 y(124)f(win)g(out)g(at)h(high)e(energies.)43 b(Pro)s(cess)29
26973 b(103,)f Fj(\015)5 b(\015)32 b Fw(fusion,)c(ma)m(y)g(also)e(b)s(e)i(of)
26974 f(in)m(terest,)i(in)e(particular)0 3015 y(when)k(the)e(p)s
26975 (ossibilities)e(of)i(b)s(eamstrahlung)f(photons)i(and)g(bac)m
26976 (kscattered)h(photons)f(are)g(included.)0 3123 y(Pro)s(cess)k(110,)d
26977 (whic)m(h)i(giv)m(es)g(an)f(H)1283 3087 y Fl(0)1355 3123
26978 y Fw(in)f(asso)s(ciation)g(with)h(a)g Fj(\015)5 b Fw(,)33
26979 b(is)e(a)h(lo)s(op)f(pro)s(cess)j(and)e(is)g(therefore)0
26980 3232 y(suppressed)38 b(in)d(rate.)51 b(Only)35 b(for)g(a)g(rather)g
26981 (massiv)m(e)h(H)2065 3196 y Fl(0)2140 3232 y Fw(\(mass)f(ab)s(o)m(v)m
26982 (e)h(60)f(GeV)g(at)g(LEP)h(1\))f(can)g(it)0 3340 y(start)c(to)g(comp)s
26983 (ete)g(with)f(the)i(asso)s(ciated)f(pro)s(duction)f(of)h(a)g(Z)2330
26984 3304 y Fl(0)2369 3340 y Fw(,)g(since)g(phase)h(space)h(suppression)f
26985 (is)0 3448 y(less)h(sev)m(ere)i(for)d(the)h(former)e(than)i(for)f(the)h
26986 (latter.)146 3557 y(The)j(branc)m(hing)e(ratios)f(of)h(the)g(Higgs)g
26987 (are)g(v)m(ery)i(strongly)e(dep)s(enden)m(t)i(on)e(the)h(mass.)48
26988 b(In)35 b(prin-)0 3665 y(ciple,)c(the)h(program)e(is)i(set)g(up)g(to)f
26989 (calculate)g(these)i(correctly)-8 b(,)32 b(as)g(a)f(function)g(of)g
26990 (the)i(actual)d(Higgs)0 3774 y(mass,)k(i.e.)45 b(not)33
26991 b(just)h(at)f(the)h(nominal)d(mass.)46 b(Ho)m(w)m(ev)m(er,)36
26992 b(higher-order)d(corrections)g(ma)m(y)g(at)g(times)0
26993 3882 y(b)s(e)g(imp)s(ortan)m(t)d(and)j(not)g(fully)e(unam)m(biguous;)h
26994 (see)i(for)e(instance)g Fq(MSTP\(37\))p Fw(.)146 3990
26995 y(Since)i(the)g(Higgs)e(is)h(a)g(spin-0)g(particle)f(it)g(deca)m(ys)k
26996 (isotropically)-8 b(.)42 b(In)34 b(deca)m(y)h(pro)s(cesses)g(suc)m(h)g
26997 (as)0 4099 y(H)73 4062 y Fl(0)145 4099 y Fn(!)c Fw(W)377
26998 4062 y Fl(+)437 4099 y Fw(W)538 4062 y Fk(\000)630 4099
26999 y Fn(!)h Fw(4)i(fermions)h(angular)e(correlations)h(are)h(included.)51
27000 b(Also)35 b(in)f(pro)s(cesses)k(24)c(and)0 4207 y(26,)e(Z)217
27001 4171 y Fl(0)289 4207 y Fw(and)g(W)579 4171 y Fk(\006)672
27002 4207 y Fw(deca)m(y)i(angular)d(distributions)g(are)h(correctly)h(tak)m
27003 (en)h(in)m(to)e(accoun)m(t.)0 4455 y Fo(8.4.2)112 b(Hea)m(vy)38
27004 b(Standard)h(Mo)s(del)e(Higgs)0 4627 y Fw(ISUB)c(=)99
27005 4724 y(5)99 b(Z)307 4687 y Fl(0)346 4724 y Fw(Z)406 4687
27006 y Fl(0)473 4724 y Fn(!)27 b Fw(H)673 4687 y Fl(0)99 4844
27007 y Fw(8)99 b(W)348 4808 y Fl(+)408 4844 y Fw(W)509 4808
27008 y Fk(\000)596 4844 y Fn(!)27 b Fw(H)796 4808 y Fl(0)50
27009 4964 y Fw(71)99 b(Z)307 4928 y Fl(0)346 4964 y Fw(Z)406
27010 4928 y Fl(0)473 4964 y Fn(!)27 b Fw(Z)660 4928 y Fl(0)699
27011 4964 y Fw(Z)759 4928 y Fl(0)831 4964 y Fw(\(longitudinal\))50
27012 5085 y(72)99 b(Z)307 5048 y Fl(0)346 5085 y Fw(Z)406
27013 5048 y Fl(0)473 5085 y Fn(!)27 b Fw(W)701 5048 y Fl(+)761
27014 5085 y Fw(W)862 5048 y Fk(\000)954 5085 y Fw(\(longitudinal\))50
27015 5205 y(73)99 b(Z)307 5169 y Fl(0)346 5205 y Fw(W)447
27016 5169 y Fl(+)534 5205 y Fn(!)28 b Fw(Z)722 5169 y Fl(0)761
27017 5205 y Fw(W)862 5169 y Fl(+)954 5205 y Fw(\(longitudinal\))50
27018 5325 y(76)99 b(W)348 5289 y Fl(+)408 5325 y Fw(W)509
27019 5289 y Fk(\000)596 5325 y Fn(!)27 b Fw(Z)783 5289 y Fl(0)822
27020 5325 y Fw(Z)882 5289 y Fl(0)954 5325 y Fw(\(longitudinal\))50
27021 5446 y(77)99 b(W)348 5410 y Fl(+)408 5446 y Fw(W)509
27022 5410 y Fk(\006)596 5446 y Fn(!)27 b Fw(W)824 5410 y Fl(+)884
27023 5446 y Fw(W)985 5410 y Fk(\006)1077 5446 y Fw(\(longitudinal\))146
27024 5556 y(Pro)s(cesses)38 b(5)d(and)g(8)g(are)g(the)h(simple)d(2)f
27025 Fn(!)g Fw(1)j(v)m(ersions)h(of)f(what)g(is)g(no)m(w)h(a)m(v)-5
27026 b(ailable)32 b(in)j(123)f(and)0 5664 y(124)c(with)h(the)h(full)d(2)f
27027 Fn(!)f Fw(3)k(kinematics.)42 b(F)-8 b(or)30 b(lo)m(w)h(Higgs)g(masses)h
27028 (pro)s(cesses)h(5)e(and)g(8)g(o)m(v)m(erestimate)1817
27029 5953 y(129)p eop
27030 %%Page: 130 136
27031 130 135 bop 0 -18 a Fw(the)36 b(correct)g(cross)h(sections)f(and)f
27032 (should)h(not)f(b)s(e)h(used,)h(whereas)g(go)s(o)s(d)e(agreemen)m(t)g
27033 (b)s(et)m(w)m(een)j(the)0 90 y(2)27 b Fn(!)h Fw(1)k(and)h(2)27
27034 b Fn(!)g Fw(3)33 b(descriptions)f(is)g(observ)m(ed)j(when)f(hea)m(vy)g
27035 (Higgs)e(pro)s(duction)g(is)g(studied.)146 198 y(The)i(subpro)s(cesses)
27036 h(5)e(and)g(8,)f Fj(V)22 b(V)49 b Fn(!)27 b Fw(H)1680
27037 162 y Fl(0)1720 198 y Fw(,)32 b(whic)m(h)i(con)m(tribute)e(to)h(the)g
27038 (pro)s(cesses)h Fj(V)22 b(V)49 b Fn(!)28 b Fj(V)3627
27039 162 y Fk(0)3651 198 y Fj(V)3729 162 y Fk(0)3752 198 y
27040 Fw(,)0 307 y(sho)m(w)43 b(a)f(bad)f(high-energy)h(b)s(eha)m(viour.)71
27041 b(Here)43 b Fj(V)63 b Fw(denotes)43 b(a)f(longitudinal)c(in)m
27042 (termediate)j(gauge)0 415 y(b)s(oson,)35 b(Z)369 379
27043 y Fl(0)443 415 y Fw(or)f(W)665 379 y Fk(\006)724 415
27044 y Fw(.)50 b(This)34 b(can)h(b)s(e)g(cured)g(only)f(b)m(y)i(the)f
27045 (inclusion)e(of)h(all)e Fj(V)22 b(V)52 b Fn(!)31 b Fj(V)3188
27046 379 y Fk(0)3212 415 y Fj(V)3290 379 y Fk(0)3348 415 y
27047 Fw(graphs,)k(as)0 523 y(is)j(done)i(in)e(subpro)s(cesses)k(71,)e(72,)g
27048 (73,)g(76)e(and)h(77.)62 b(In)39 b(particular,)g(subpro)s(cesses)i(5)e
27049 (and)g(8)g(giv)m(e)0 632 y(rise)e(to)g(a)h(\014ctitious)e(high-mass)g
27050 (tail)g(of)h(the)g(Higgs.)58 b(If)37 b(this)g(tail)f(is)h(thro)m(wn)h
27051 (a)m(w)m(a)m(y)-8 b(,)40 b(ho)m(w)m(ev)m(er,)h(the)0
27052 740 y(agreemen)m(t)36 b(b)s(et)m(w)m(een)i(the)f Fj(s)p
27053 Fw(-c)m(hannel)f(graphs)g(only)f(\(subpro)s(cesses)k(5)d(and)g(8\))g
27054 (and)g(the)g(full)e(set)j(of)0 848 y(graphs)29 b(\(subpro)s(cesses)j
27055 (71)d(etc.\))43 b(is)28 b(v)m(ery)j(go)s(o)s(d:)40 b(for)29
27056 b(a)g(Higgs)f(of)h(nominal)d(mass)j(300)f(\(800\))h(GeV,)g(a)0
27057 957 y(cut)34 b(at)f(600)g(\(1200\))f(GeV)i(retains)f(95\045)g
27058 (\(84\045\))g(of)g(the)h(total)e(cross)j(section,)f(and)f(di\013ers)h
27059 (from)e(the)0 1065 y(exact)h(calculation,)d(cut)i(at)g(the)g(same)g(v)
27060 -5 b(alues,)32 b(b)m(y)h(only)e(2\045)h(\(11\045\))g(\(n)m(um)m(b)s
27061 (ers)h(for)e(SSC)i(energies\).)0 1173 y(With)g(this)g(prescription)f
27062 (there)i(is)f(therefore)h(no)f(need)i(to)e(use)h(subpro)s(cesses)i(71)d
27063 (etc.)46 b(rather)33 b(than)0 1282 y(subpro)s(cesses)i(5)e(and)f(8.)146
27064 1390 y(F)-8 b(or)31 b(subpro)s(cess)j(77,)e(there)h(is)e(an)h(option,)f
27065 (see)i Fq(MSTP\(45\))p Fw(,)h(to)d(select)i(the)f(c)m(harge)h(com)m
27066 (bination)0 1498 y(of)f(the)h(scattering)f(W)q('s:)45
27067 b(lik)m(e-sign,)31 b(opp)s(osite-sign)g(\(relev)-5 b(an)m(t)33
27068 b(for)f(Higgs\),)f(or)i(b)s(oth.)146 1607 y(Pro)s(cess)40
27069 b(77)d(con)m(tains)h(a)f(div)m(ergence)i(for)f Fj(p)1799
27070 1622 y Fk(?)1894 1607 y Fn(!)e Fw(0)i(due)g(to)g Fj(\015)5
27071 b Fw(-exc)m(hange)39 b(con)m(tributions.)58 b(This)0
27072 1715 y(leads)28 b(to)g(an)g(in\014nite)f(total)g(cross)i(section,)h
27073 (whic)m(h)e(is)g(en)m(tirely)g(\014ctitious,)g(since)h(the)g(simple)d
27074 (parton-)0 1823 y(distribution)i(function)h(approac)m(h)h(to)f(the)h
27075 (longitudinal)c(W)31 b(\015ux)g(is)e(not)g(appropriate)g(in)g(this)g
27076 (limit.)0 1932 y(F)-8 b(or)32 b(this)g(pro)s(cess,)i(it)d(is)i
27077 (therefore)g(necessary)i(to)d(mak)m(e)h(use)g(of)f(a)g(cut,)i(e.g.)43
27078 b Fj(p)2937 1947 y Fk(?)3024 1932 y Fj(>)27 b(m)3212
27079 1947 y Fl(W)3290 1932 y Fw(.)146 2040 y(F)-8 b(or)30
27080 b(subpro)s(cesses)k(71,)d(72,)f(76)g(and)h(77,)g(an)f(option)g(is)g
27081 (included)h(\(see)g Fq(MSTP\(46\))p Fw(\))i(whereb)m(y)g(the)0
27082 2148 y(user)g(can)f(select)h(only)f(the)g Fj(s)p Fw(-c)m(hannel)g
27083 (Higgs)f(graph;)i(this)e(will)f(then)j(b)s(e)f(essen)m(tially)g(equiv)
27084 -5 b(alen)m(t)32 b(to)0 2257 y(running)j(subpro)s(cess)j(5)e(or)f(8)h
27085 (with)f(the)h(prop)s(er)g(deca)m(y)h(c)m(hannels)g(\(i.e.)53
27086 b(Z)2806 2221 y Fl(0)2845 2257 y Fw(Z)2905 2221 y Fl(0)2979
27087 2257 y Fw(or)36 b(W)3203 2221 y Fl(+)3262 2257 y Fw(W)3363
27088 2221 y Fk(\000)3423 2257 y Fw(\))g(set)g(via)0 2365 y
27089 Fq(MDME)p Fw(.)i(The)f(di\013erence)g(is)f(that)g(the)h(Breit{Wigners)f
27090 (in)g(subpro)s(cesses)j(5)d(and)h(8)f(con)m(tain)g(a)g(mass-)0
27091 2473 y(dep)s(enden)m(t)i(width,)f(whereas)h(the)f(width)f(in)f(subpro)s
27092 (cesses)k(71{77)c(is)h(calculated)g(at)f(the)i(nominal)0
27093 2582 y(Higgs)h(mass;)k(also,)e(higher-order)e(corrections)h(to)f(the)i
27094 (widths)f(are)g(treated)g(more)f(accurately)h(in)0 2690
27095 y(subpro)s(cesses)g(5)c(and)h(8.)54 b(F)-8 b(urther,)37
27096 b(pro)s(cesses)h(71{77)c(assume)j(the)f(incoming)e(W)q
27097 Fj(=)p Fw(Z)i(to)f(b)s(e)h(on)g(the)0 2798 y(mass)25
27098 b(shell,)h(with)f(asso)s(ciated)g(kinematics)f(factors,)j(while)d(pro)s
27099 (cesses)j(5)e(and)g(8)g(ha)m(v)m(e)h(W)q Fj(=)p Fw(Z)f(correctly)0
27100 2907 y(space-lik)m(e.)43 b(All)31 b(this)i(leads)f(to)g(di\013erences)i
27101 (in)e(the)h(cross)g(sections)g(b)m(y)h(up)f(to)f(a)g(factor)g(of)h
27102 (1.5.)146 3015 y(In)i(the)g(absence)h(of)d(a)h(Higgs,)g(the)h(sector)g
27103 (of)f(longitudinal)c(Z)k(and)h(W)g(scattering)g(will)c(b)s(ecome)0
27104 3123 y(strongly)k(in)m(teracting)g(at)g(energies)h(ab)s(o)m(v)m(e)g(1)g
27105 (T)-8 b(eV.)36 b(The)h(mo)s(dels)d(prop)s(osed)i(b)m(y)h(Dobado,)e
27106 (Herrero)0 3232 y(and)43 b(T)-8 b(erron)44 b([Dob91)o(])f(to)g(describ)
27107 s(e)g(this)g(kind)g(of)g(ph)m(ysics)h(ha)m(v)m(e)h(b)s(een)e(included)g
27108 (as)g(alternativ)m(e)0 3340 y(matrix)38 b(elemen)m(ts)j(for)e(subpro)s
27109 (cesses)k(71,)e(72,)g(73,)h(76)d(and)h(77,)h(selectable)f(b)m(y)i
27110 Fq(MSTP\(46\))p Fw(.)68 b(F)-8 b(rom)0 3448 y(the)29
27111 b(p)s(oin)m(t)e(of)h(view)g(of)g(the)h(general)f(classi\014cation)e(sc)
27112 m(heme)k(for)e(subpro)s(cesses,)k(this)c(kind)g(of)g(mo)s(dels)0
27113 3557 y(should)35 b(appropriately)e(b)s(e)i(included)g(as)g(separate)g
27114 (subpro)s(cesses)j(with)c(n)m(um)m(b)s(ers)i(ab)s(o)m(v)m(e)f(100,)g
27115 (but)0 3665 y(the)g(curren)m(t)g(solution)e(allo)m(ws)g(a)h(more)f
27116 (e\016cien)m(t)j(reuse)f(of)f(existing)f(co)s(de.)49
27117 b(By)35 b(a)f(prop)s(er)g(c)m(hoice)h(of)0 3774 y(parameters,)e(it)e
27118 (is)h(also)g(here)h(p)s(ossible)f(to)g(sim)m(ulate)f(the)i(pro)s
27119 (duction)f(of)g(a)h(tec)m(hni-)p Fj(\032)p Fw(.)146 3882
27120 y(Curren)m(tly)-8 b(,)25 b(the)e(scattering)f(of)g(transv)m(erse)i
27121 (gauge)e(b)s(osons)h(has)f(not)h(b)s(een)f(included,)i(neither)f(that)0
27122 3990 y(of)32 b(mixed)g(transv)m(erse{longitudinal)f(scatterings.)44
27123 b(These)35 b(are)d(exp)s(ected)j(to)d(b)s(e)h(less)g(imp)s(ortan)m(t)e
27124 (at)0 4099 y(high)23 b(energies,)j(and)e(do)g(not)g(con)m(tain)f(an)h
27125 (H)1605 4062 y Fl(0)1668 4099 y Fw(resonance)h(p)s(eak,)h(but)e(need)h
27126 (not)f(b)s(e)g(en)m(tirely)f(negligible)0 4207 y(in)33
27127 b(magnitude.)47 b(As)35 b(a)f(rule)f(of)h(th)m(um)m(b,)h(pro)s(cesses)h
27128 (71{77)d(should)h(not)g(b)s(e)g(used)h(for)f Fj(V)21
27129 b(V)56 b Fw(in)m(v)-5 b(arian)m(t)0 4315 y(masses)33
27130 b(b)s(elo)m(w)g(500)f(GeV.)146 4424 y(The)27 b(deca)m(y)f(pro)s(ducts)g
27131 (of)f(the)h(longitudinal)c(gauge)j(b)s(osons)h(are)f(correctly)h
27132 (distributed)f(in)f(angle.)0 4671 y Fo(8.4.3)112 b(Extended)38
27133 b(neutral)f(Higgs)g(sector)0 4844 y Fq(MSEL)d Fw(=)e(19)0
27134 4952 y(ISUB)h(=)1817 5953 y(130)p eop
27135 %%Page: 131 137
27136 131 136 bop 84 -30 a Fw(H)157 -66 y Fl(0)310 -30 y Fw(H)383
27137 -66 y Fk(0)p Fl(0)575 -30 y Fw(A)648 -66 y Fl(0)147 90
27138 y Fw(3)100 b(151)f(156)g(f)818 105 y Fh(i)p 846 11 37
27139 4 v 846 90 a Fw(f)882 105 y Fh(i)938 90 y Fn(!)28 b Fj(X)50
27140 211 y Fw(102)99 b(152)g(157)g(gg)28 b Fn(!)g Fj(X)50
27141 331 y Fw(103)99 b(153)g(158)g Fj(\015)5 b(\015)32 b Fn(!)c
27142 Fj(X)99 451 y Fw(24)99 b(171)g(176)g(f)818 466 y Fh(i)p
27143 846 372 V 846 451 a Fw(f)882 466 y Fh(i)938 451 y Fn(!)28
27144 b Fw(Z)1126 415 y Fl(0)1165 451 y Fj(X)99 572 y Fw(26)99
27145 b(172)g(177)g(f)818 587 y Fh(i)p 846 493 V 846 572 a
27146 Fw(f)882 587 y Fh(j)947 572 y Fn(!)27 b Fw(W)1175 536
27147 y Fl(+)1235 572 y Fj(X)50 692 y Fw(123)99 b(173)g(178)g(f)818
27148 707 y Fh(i)846 692 y Fw(f)876 707 y Fh(j)940 692 y Fn(!)27
27149 b Fw(f)1097 707 y Fh(i)1125 692 y Fw(f)1155 707 y Fh(j)1191
27150 692 y Fj(X)41 b Fw(\(ZZ)31 b(fusion\))50 812 y(124)99
27151 b(174)g(179)g(f)818 827 y Fh(i)846 812 y Fw(f)876 827
27152 y Fh(j)940 812 y Fn(!)27 b Fw(f)1097 827 y Fh(k)1139
27153 812 y Fw(f)1169 827 y Fh(l)1195 812 y Fj(X)41 b Fw(\(W)1456
27154 776 y Fl(+)1515 812 y Fw(W)1616 776 y Fk(\000)1708 812
27155 y Fw(fusion\))50 933 y(121)99 b(181)g(186)g(gg)28 b Fn(!)g
27156 Fw(Q)1118 948 y Fh(k)p 1160 855 76 4 v 1160 933 a Fw(Q)1236
27157 956 y Fh(k)1279 933 y Fj(X)50 1053 y Fw(122)99 b(182)g(187)g(q)839
27158 1068 y Fh(i)p 867 1000 52 4 v 867 1053 a Fw(q)919 1077
27159 y Fh(i)975 1053 y Fn(!)27 b Fw(Q)1178 1068 y Fh(k)p 1221
27160 975 76 4 v 1221 1053 a Fw(Q)1296 1077 y Fh(k)1339 1053
27161 y Fj(X)0 1162 y Fw(ISUB)33 b(=)50 1273 y(\(141\))99 b(f)402
27162 1288 y Fh(i)p 430 1194 37 4 v 430 1273 a Fw(f)466 1288
27163 y Fh(i)522 1273 y Fn(!)28 b Fj(\015)5 b(=)p Fw(Z)815
27164 1237 y Fl(0)853 1273 y Fj(=)p Fw(Z)962 1237 y Fk(0)p
27165 Fl(0)146 1379 y Fw(In)49 b Fm(Pythia)p Fw(,)j(the)c(particle)f(con)m
27166 (ten)m(t)i(of)e(a)h(t)m(w)m(o-Higgs-doublet)f(scenario)g(is)h
27167 (included:)74 b(t)m(w)m(o)0 1487 y(neutral)28 b(scalar)g(particles,)g
27168 (25)g(and)h(35,)g(one)g(pseudoscalar)g(one,)g(36,)g(and)g(a)f(c)m
27169 (harged)h(doublet,)g Fn(\006)p Fw(37.)0 1595 y(\(Of)45
27170 b(course,)50 b(these)c(particles)f(ma)m(y)g(also)f(b)s(e)i(asso)s
27171 (ciated)f(with)g(corresp)s(onding)g(Higgs)g(states)h(in)0
27172 1704 y(larger)35 b(m)m(ultiplets.\))52 b(By)37 b(con)m(v)m(en)m(tion,)i
27173 (w)m(e)e(c)m(ho)s(ose)g(to)f(call)e(the)j(ligh)m(ter)e(scalar)h(Higgs)f
27174 (H)3375 1668 y Fl(0)3451 1704 y Fw(and)h(the)0 1812 y(hea)m(vier)h(H)
27175 413 1776 y Fk(0)p Fl(0)508 1812 y Fw(|)e(this)h(di\013ers)h(from)e(the)
27176 h(con)m(v)m(en)m(tion)i(in)d(the)i(MSSM,)h(where)f(the)g(ligh)m(ter)e
27177 (is)h(called)0 1920 y(h)54 1884 y Fl(0)126 1920 y Fw(and)d(the)h(hea)m
27178 (vier)f(H)894 1884 y Fl(0)934 1920 y Fw(,)g(but)g(allo)m(ws)f(us)h(to)g
27179 (call)e(the)i(Higgs)f(of)h(the)g(one-Higgs)f(scenario)h(H)3501
27180 1884 y Fl(0)3540 1920 y Fw(.)45 b(The)0 2029 y(pseudoscalar)39
27181 b(is)f(called)g(A)1036 1993 y Fl(0)1114 2029 y Fw(and)h(the)g(c)m
27182 (harged)g(H)1923 1993 y Fk(\006)1983 2029 y Fw(.)61 b(Charged-Higgs)38
27183 b(pro)s(duction)g(is)h(co)m(v)m(ered)h(in)0 2137 y(section)33
27184 b(8.4.4.)146 2246 y(A)i(n)m(um)m(b)s(er)g(of)f(H)797
27185 2209 y Fl(0)871 2246 y Fw(pro)s(cesses)i(ha)m(v)m(e)g(b)s(een)f
27186 (duplicated)f(for)g(H)2456 2209 y Fk(0)p Fl(0)2549 2246
27187 y Fw(and)g(A)2813 2209 y Fl(0)2853 2246 y Fw(.)49 b(The)35
27188 b(corresp)s(ondence)0 2354 y(b)s(et)m(w)m(een)k(ISUB)e(n)m(um)m(b)s
27189 (ers)h(is)f(sho)m(wn)h(in)e(the)h(table)f(ab)s(o)m(v)m(e:)53
27190 b(the)38 b(\014rst)f(column)f(of)g(ISUB)i(n)m(um)m(b)s(ers)0
27191 2462 y(corresp)s(onds)50 b(to)e Fj(X)62 b Fw(=)55 b(H)1033
27192 2426 y Fl(0)1073 2462 y Fw(,)d(the)d(second)h(to)e Fj(X)62
27193 b Fw(=)55 b(H)2149 2426 y Fk(0)p Fl(0)2208 2462 y Fw(,)d(and)d(the)g
27194 (third)e(to)i Fj(X)62 b Fw(=)55 b(A)3419 2426 y Fl(0)3458
27195 2462 y Fw(.)91 b(Note)0 2571 y(that)37 b(sev)m(eral)g(of)f(these)i(pro)
27196 s(cesses)h(are)e(not)g(exp)s(ected)h(to)f(tak)m(e)g(place)g(at)f(all,)g
27197 (o)m(wing)g(to)h(v)-5 b(anishing)0 2679 y(Born)37 b(term)g(couplings.)
27198 56 b(W)-8 b(e)38 b(ha)m(v)m(e)g(still)d(included)i(them)g(for)f
27199 (\015exibilit)m(y)g(in)g(sim)m(ulating)e(arbitrary)0
27200 2787 y(couplings)e(at)g(the)h(Born)f(or)h(lo)s(op)e(lev)m(el.)146
27201 2896 y(A)j(few)g(Standard)g(Mo)s(del)f(Higgs)g(pro)s(cesses)j(ha)m(v)m
27202 (e)e(no)g(corresp)s(ondence)i(in)d(the)h(sc)m(heme)h(ab)s(o)m(v)m(e.)0
27203 3004 y(These)f(include)145 3117 y Fn(\017)49 b Fw(5)32
27204 b(and)h(8,)f(whic)m(h)h(an)m(yw)m(a)m(y)i(ha)m(v)m(e)f(b)s(een)f(sup)s
27205 (erseded)i(b)m(y)f(123)d(and)i(124;)145 3235 y Fn(\017)49
27206 b Fw(71,)32 b(72,)h(73,)f(76)g(and)h(77,)g(whic)m(h)g(deal)f(with)g
27207 (what)h(happ)s(ens)h(if)e(there)h(is)g(no)f(ligh)m(t)f(Higgs,)h(and)244
27208 3343 y(so)40 b(is)g(a)g(scenario)g(complemen)m(tary)g(to)g(the)g(one)h
27209 (ab)s(o)m(v)m(e,)i(where)f(sev)m(eral)f(ligh)m(t)d(Higgses)i(are)244
27210 3451 y(assumed;)145 3569 y Fn(\017)49 b Fw(110,)32 b(whic)m(h)h(is)f
27211 (mainly)e(of)j(in)m(terest)g(in)e(Standard)i(Mo)s(del)f(Higgs)g(searc)m
27212 (hes;)j(and)145 3687 y Fn(\017)49 b Fw(111,)33 b(112)f(and)h(113,)g
27213 (whic)m(h)h(describ)s(e)g(the)f(high-)p Fj(p)2120 3702
27214 y Fk(?)2211 3687 y Fw(tail)e(of)i(the)h(Higgs)e(pro)s(duction,)h(and)g
27215 (are)244 3795 y(less)g(in)m(teresting)f(for)g(most)g(Higgs)g(studies.)
27216 146 3908 y(In)g(pro)s(cesses)h(121,)e(122,)g(181,)g(182,)g(186)g(and)g
27217 (187)g(the)h(recoiling)d(hea)m(vy)k(\015a)m(v)m(our)f(is)f(assumed)h
27218 (to)0 4017 y(b)s(e)k(top,)h(whic)m(h)g(is)f(the)h(only)e(one)i(of)e(in)
27219 m(terest)i(in)f(the)g(Standard)h(Mo)s(del,)f(and)h(the)f(one)h(where)g
27220 (the)0 4125 y(parton-distribution-function)22 b(approac)m(h)k(in)m(v)m
27221 (ok)m(ed)h(in)d(pro)s(cesses)k(3,)f(151)d(and)i(156)f(is)f(least)i
27222 (reliable.)0 4233 y(Ho)m(w)m(ev)m(er,)33 b(it)28 b(is)h(p)s(ossible)g
27223 (to)h(c)m(hange)g(the)g(quark)h(\015a)m(v)m(our)f(in)f(121)g(etc.;)i
27224 (for)e(eac)m(h)i(pro)s(cess)g(ISUB)f(this)0 4342 y(\015a)m(v)m(our)f
27225 (is)f(giv)m(en)h(b)m(y)h Fq(KFPR\(ISUB,2\))p Fw(.)45
27226 b(This)29 b(ma)m(y)f(b)s(ecome)h(relev)-5 b(an)m(t)28
27227 b(if)f(couplings)g(to)i(b)p 3294 4263 55 4 v(b)f(states)h(are)0
27228 4450 y(enhanced,)34 b(e.g.)44 b(if)31 b(tan)17 b Fj(\014)33
27229 b Fn(\035)27 b Fw(1)33 b(in)f(the)h(MSSM.)146 4559 y(By)47
27230 b(default,)h(the)e(H)938 4522 y Fl(0)1024 4559 y Fw(has)g(the)g
27231 (couplings)f(of)g(the)h(Standard)g(Mo)s(del)f(Higgs,)k(while)c(the)h(H)
27232 3721 4522 y Fk(0)p Fl(0)0 4667 y Fw(and)i(A)278 4631
27233 y Fl(0)365 4667 y Fw(ha)m(v)m(e)i(couplings)d(set)h(in)f
27234 Fq(PARU\(171\))54 b(-)e(PARU\(178\))e Fw(and)e Fq(PARU\(181\))54
27235 b(-)d(PARU\(190\))p Fw(,)0 4775 y(resp)s(ectiv)m(ely)-8
27236 b(.)79 b(The)45 b(default)f(v)-5 b(alues)44 b(for)f(the)i(H)1863
27237 4739 y Fk(0)p Fl(0)1965 4775 y Fw(and)g(A)2240 4739 y
27238 Fl(0)2323 4775 y Fw(ha)m(v)m(e)h(no)e(deep)h(ph)m(ysics)g(motiv)-5
27239 b(ation,)0 4884 y(but)37 b(are)g(set)g(just)g(so)g(that)f(the)h
27240 (program)f(will)e(not)i(crash)i(due)f(to)f(the)i(absence)g(of)e(an)m(y)
27241 h(couplings)0 4992 y(whatso)s(ev)m(er.)62 b(Y)-8 b(ou)39
27242 b(should)f(therefore)h(set)g(the)f(ab)s(o)m(v)m(e)h(couplings)f(to)g(y)
27243 m(our)h(desired)f(v)-5 b(alues)39 b(if)e(y)m(ou)0 5100
27244 y(w)m(an)m(t)c(to)f(sim)m(ulate)e(either)i(H)1093 5064
27245 y Fk(0)p Fl(0)1184 5100 y Fw(or)g(A)1376 5064 y Fl(0)1416
27246 5100 y Fw(.)43 b(Also)31 b(the)i(couplings)e(of)h(the)g(H)2652
27247 5064 y Fl(0)2724 5100 y Fw(particle)f(can)h(b)s(e)h(mo)s(di\014ed,)0
27248 5209 y(in)f Fq(PARU\(161\))53 b(-)f(PARU\(165\))p Fw(,)35
27249 b(pro)m(vided)e(that)f Fq(MSTP\(4\))j Fw(is)d(set)h(to)f(1.)146
27250 5317 y(F)-8 b(or)22 b Fq(MSTP\(4\)=2)p Fw(,)27 b(the)c(mass)f(of)g(the)
27251 h(H)1543 5281 y Fl(0)1605 5317 y Fw(\(in)e Fq(PMAS\(25,1\))p
27252 Fw(\))k(and)e(the)f(tan)17 b Fj(\014)28 b Fw(v)-5 b(alue)22
27253 b(\(in)f Fq(PARU\(141\))p Fw(\))0 5425 y(are)54 b(used)h(to)e(deriv)m
27254 (e)h(the)g(masses)h(of)e(the)h(other)g(Higgses,)59 b(as)54
27255 b(w)m(ell)f(as)h(all)d(Higgs)i(couplings.)0 5534 y Fq(PMAS\(35,1\))h(-)
27256 d(PMAS\(37,1\))i Fw(and)c Fq(PARU\(161\))54 b(-)d(PARU\(195\))h
27257 Fw(are)e(o)m(v)m(erwritten)h(accordingly)-8 b(.)0 5642
27258 y(The)29 b(relations)e(used)j(are)e(the)h(ones)g(of)f(the)h(Born-lev)m
27259 (el)f(MSSM)h([Gun90].)42 b(T)-8 b(o)s(da)m(y)g(,)29 b(lo)s(op)e
27260 (corrections)1817 5953 y(131)p eop
27261 %%Page: 132 138
27262 132 137 bop 0 -18 a Fw(to)37 b(those)i(expressions)g(ha)m(v)m(e)g(b)s
27263 (een)f(calculated,)g(and)g(are)g(kno)m(wn)h(to)e(ha)m(v)m(e)i
27264 (non-negligible)34 b(e\013ects)0 90 y(on)c(the)h(resulting)e
27265 (phenomenology)-8 b(.)42 b(Ev)m(en)m(tually)30 b(the)h(mo)s(di\014ed)e
27266 (relations)f(will)g(b)s(e)j(included)e(as)i(an)0 198
27267 y(additional)f(option,)h(but)i(this)f(has)h(not)g(y)m(et)g(b)s(een)h
27268 (done.)146 307 y(Note)26 b(that)g(not)g(all)d(com)m(binations)i(of)g
27269 Fj(m)1652 322 y Fl(H)1735 307 y Fw(and)h(tan)17 b Fj(\014)31
27270 b Fw(are)26 b(allo)m(w)m(ed;)h(the)g(requiremen)m(t)f(of)f(a)h
27271 (\014nite)0 415 y(A)73 379 y Fl(0)145 415 y Fw(mass)33
27272 b(imp)s(oses)f(the)h(constrain)m(t)1441 689 y Fj(m)1526
27273 704 y Fl(H)1611 689 y Fj(<)27 b(m)1799 704 y Fl(Z)1874
27274 621 y Fw(tan)2014 585 y Fl(2)2071 621 y Fj(\014)g Fn(\000)c
27275 Fw(1)p 1874 665 429 4 v 1875 757 a(tan)2015 722 y Fl(2)2071
27276 757 y Fj(\014)28 b Fw(+)22 b(1)2312 689 y Fj(;)1218 b
27277 Fw(\(119\))0 953 y(or,)32 b(equiv)-5 b(alen)m(tly)d(,)1474
27278 1106 y(tan)1614 1065 y Fl(2)1670 1106 y Fj(\014)34 b(>)1873
27279 1038 y(m)1958 1053 y Fl(Z)2028 1038 y Fw(+)22 b Fj(m)2211
27280 1053 y Fl(H)p 1872 1083 397 4 v 1872 1174 a Fj(m)1957
27281 1189 y Fl(Z)2027 1174 y Fn(\000)h Fj(m)2212 1189 y Fl(H)2279
27282 1106 y Fj(:)1251 b Fw(\(120\))0 1321 y(If)33 b(this)f(condition)f(is)h
27283 (not)g(ful\014lled,)f(the)i(program)e(will)f(crash.)146
27284 1429 y(Pro)s(cess)45 b(141)e(can)g(also)g(b)s(e)h(used)g(to)f(sim)m
27285 (ulate)f(Z)2061 1393 y Fl(0)2146 1429 y Fn(!)k Fw(H)2365
27286 1393 y Fl(0)2405 1429 y Fw(A)2478 1393 y Fl(0)2560 1429
27287 y Fw(and)e(Z)2821 1393 y Fl(0)2906 1429 y Fn(!)i Fw(H)3125
27288 1393 y Fk(0)p Fl(0)3184 1429 y Fw(A)3257 1393 y Fl(0)3339
27289 1429 y Fw(for)d(asso)s(ci-)0 1537 y(ated)36 b(neutral)g(Higgs)f(pro)s
27290 (duction.)54 b(The)37 b(fact)f(that)g(w)m(e)h(here)g(mak)m(e)f(use)h
27291 (of)f(the)g(Z)3130 1501 y Fk(0)p Fl(0)3225 1537 y Fw(can)g(easily)f(b)s
27292 (e)0 1646 y(discoun)m(ted,)e(either)e(b)m(y)h(letting)e(the)i(relev)-5
27293 b(an)m(t)31 b(couplings)g(v)-5 b(anish,)31 b(or)g(b)m(y)i(the)e(option)
27294 g Fq(MSTP\(44\)=4)p Fw(.)146 1754 y(Finally)-8 b(,)31
27295 b(hea)m(vier)j(Higgses)g(ma)m(y)f(deca)m(y)i(in)m(to)e(ligh)m(ter)f
27296 (ones,)j(if)e(kinematically)d(allo)m(w)m(ed,)j(in)g(pro-)0
27297 1862 y(cesses)38 b(lik)m(e)c(A)535 1826 y Fl(0)607 1862
27298 y Fn(!)e Fw(Z)799 1826 y Fl(0)838 1862 y Fw(H)911 1826
27299 y Fl(0)985 1862 y Fw(or)j(H)1180 1826 y Fl(+)1272 1862
27300 y Fn(!)c Fw(W)1504 1826 y Fl(+)1564 1862 y Fw(H)1637
27301 1826 y Fl(0)1677 1862 y Fw(.)51 b(Suc)m(h)36 b(mo)s(des)f(are)g
27302 (included)g(as)h(part)f(of)f(the)i(general)0 1971 y(mixture)k(of)g
27303 (deca)m(y)h(c)m(hannels,)j(but)c(they)i(can)e(b)s(e)h(enhanced)h(if)d
27304 (the)i(unin)m(teresting)f(c)m(hannels)h(are)0 2079 y(switc)m(hed)34
27305 b(o\013.)0 2327 y Fo(8.4.4)112 b(Charged)39 b(Higgs)d(sector)0
27306 2499 y Fq(MSEL)e Fw(=)e(23)0 2608 y(ISUB)h(=)126 2704
27307 y(143)99 b(f)402 2719 y Fh(i)p 430 2625 37 4 v 430 2704
27308 a Fw(f)466 2719 y Fh(j)531 2704 y Fn(!)27 b Fw(H)731
27309 2668 y Fl(+)126 2824 y Fw(161)99 b(f)402 2839 y Fh(i)430
27310 2824 y Fw(g)28 b Fn(!)g Fw(f)665 2839 y Fh(k)707 2824
27311 y Fw(H)780 2788 y Fl(+)50 2945 y Fw(\(141\))99 b(f)402
27312 2960 y Fh(i)p 430 2866 V 430 2945 a Fw(f)466 2960 y Fh(i)522
27313 2945 y Fn(!)28 b Fj(\015)5 b(=)p Fw(Z)815 2909 y Fl(0)853
27314 2945 y Fj(=)p Fw(Z)962 2909 y Fk(0)p Fl(0)146 3062 y
27315 Fw(A)37 b(c)m(harged)h(Higgs)f(doublet,)h(H)1353 3026
27316 y Fk(\006)1412 3062 y Fw(,)g(is)f(included)f(in)h(the)g(program.)56
27317 b(This)37 b(doublet)g(ma)m(y)g(b)s(e)g(the)0 3170 y(one)27
27318 b(predicted)h(in)e(the)i(MSSM)g(scenario,)g(see)g(section)f(8.4.3,)h
27319 (or)f(in)f(an)m(y)i(other)f(scenario.)41 b(The)28 b(tan)17
27320 b Fj(\014)0 3278 y Fw(parameter,)32 b(whic)m(h)h(is)f(relev)-5
27321 b(an)m(t)33 b(also)f(for)g(c)m(harged)h(Higgs)f(couplings,)f(is)i(set)g
27322 (via)f Fq(PARU\(141\))p Fw(.)146 3387 y(The)48 b(basic)e(subpro)s(cess)
27323 i(for)e(c)m(harged)h(Higgs)f(pro)s(duction)f(in)h(hadron)g(colliders)f
27324 (is)h(ISUB)h(=)0 3495 y(143.)g(Ho)m(w)m(ev)m(er,)37 b(this)c(pro)s
27325 (cess)i(is)f(dominated)f(b)m(y)h(t)p 1933 3416 55 4 v(b)d
27326 Fn(!)e Fw(H)2220 3459 y Fl(+)2279 3495 y Fw(,)35 b(and)f(so)g(dep)s
27327 (ends)i(on)d(the)i(c)m(hoice)f(of)g(t)0 3604 y(parton)k(distribution.)
27328 57 b(A)38 b(b)s(etter)g(represen)m(tation)g(is)f(pro)m(vided)i(b)m(y)f
27329 (subpro)s(cess)i(161,)f(fg)e Fn(!)f Fw(f)3597 3567 y
27330 Fk(0)3620 3604 y Fw(H)3693 3567 y Fl(+)3752 3604 y Fw(;)0
27331 3712 y(i.e.)43 b(actually)p 538 3633 V 30 w(bg)29 b Fn(!)p
27332 797 3641 38 4 v 27 w Fw(tH)908 3676 y Fl(+)967 3712 y
27333 Fw(.)44 b(It)31 b(is)h(therefore)g(recommended)g(to)f(use)i(161)e(and)h
27334 (not)f(143;)h(to)f(use)i(b)s(oth)0 3820 y(w)m(ould)g(b)s(e)f
27335 (double-coun)m(ting.)146 3929 y(In)47 b(subpro)s(cess)i(141,)g(the)e
27336 (deca)m(y)g Fj(\015)1528 3892 y Fk(\003)1568 3929 y Fj(=)p
27337 Fw(Z)1677 3892 y Fl(0)1716 3929 y Fj(=)p Fw(Z)1825 3892
27338 y Fk(0)p Fl(0)1934 3929 y Fn(!)k Fw(H)2158 3892 y Fl(+)2217
27339 3929 y Fw(H)2290 3892 y Fk(\000)2396 3929 y Fw(allo)m(ws)45
27340 b(the)i(pro)s(duction)e(of)h(a)h(pair)0 4037 y(of)39
27341 b(c)m(harged)i(Higgs)d(particles.)64 b(This)40 b(pro)s(cess)h(is)e(esp)
27342 s(ecially)g(imp)s(ortan)m(t)e(in)i(e)2971 4001 y Fl(+)3031
27343 4037 y Fw(e)3074 4001 y Fk(\000)3173 4037 y Fw(colliders.)63
27344 b(The)0 4145 y(coupling)35 b(of)g(the)i Fj(\015)736 4109
27345 y Fk(\003)811 4145 y Fw(to)f(H)1007 4109 y Fl(+)1066
27346 4145 y Fw(H)1139 4109 y Fk(\000)1234 4145 y Fw(is)g(determined)g(b)m(y)
27347 h(the)f(c)m(harge)h(alone,)f(while)g(the)g(Z)3245 4109
27348 y Fl(0)3320 4145 y Fw(coupling)f(is)0 4254 y(regulated)27
27349 b(b)m(y)i Fq(PARU\(142\))p Fw(,)h(and)d(that)g(of)g(the)g(Z)1788
27350 4217 y Fk(0)p Fl(0)1873 4254 y Fw(b)m(y)i Fq(PARU\(143\))p
27351 Fw(.)44 b(The)28 b(Z)2789 4217 y Fk(0)p Fl(0)2874 4254
27352 y Fw(piece)g(can)f(b)s(e)g(switc)m(hed)0 4362 y(o\013,)33
27353 b(e.g.)47 b(b)m(y)36 b Fq(MSTP\(44\)=4)p Fw(.)49 b(An)33
27354 b(ordinary)g(Z)1697 4326 y Fl(0)1736 4362 y Fw(,)h(i.e.)46
27355 b(particle)32 b(co)s(de)i(23,)f(cannot)h(b)s(e)g(made)f(to)g(deca)m(y)0
27356 4470 y(in)m(to)f(H)271 4434 y Fl(+)330 4470 y Fw(H)403
27357 4434 y Fk(\000)462 4470 y Fw(,)h(ho)m(w)m(ev)m(er.)146
27358 4579 y(A)i(ma)5 b(jor)34 b(p)s(oten)m(tial)e(source)k(of)e(c)m(harged)i
27359 (Higgs)e(pro)s(duction)f(is)i(top)f(deca)m(y)-8 b(.)51
27360 b(When)35 b(the)g(top)g(is)0 4687 y(treated)f(as)g(a)f(resonance)i
27361 (\(the)f(default)f(option\),)g(it)f(is)h(p)s(ossible)g(to)g(switc)m(h)i
27362 (on)e(the)h(deca)m(y)h(c)m(hannel)0 4795 y(t)28 b Fn(!)f
27363 Fw(bH)320 4759 y Fl(+)379 4795 y Fw(.)42 b(T)-8 b(op)29
27364 b(will)d(then)j(deca)m(y)g(to)f(H)1494 4759 y Fl(+)1582
27365 4795 y Fw(a)f(fraction)h(of)f(the)i(time,)f(whic)m(hev)m(er)i(w)m(a)m
27366 (y)g(it)d(is)h(pro)s(duced.)0 4904 y(The)33 b(branc)m(hing)f(ratio)e
27367 (is)i(automatically)c(calculated,)k(based)g(on)g(the)h(tan)16
27368 b Fj(\014)38 b Fw(v)-5 b(alue)31 b(and)h(masses.)44 b(It)0
27369 5012 y(is)34 b(p)s(ossible)f(to)h(only)g(ha)m(v)m(e)i(the)f(H)1275
27370 4976 y Fl(+)1368 5012 y Fw(deca)m(y)h(mo)s(de)d(switc)m(hed)j(on,)f(in)
27371 e(whic)m(h)i(case)g(the)g(cross)g(section)0 5120 y(is)j(reduced)j
27372 (accordingly)-8 b(.)62 b(If)38 b(one)i(instead)f(assumes)h(that)e(top)h
27373 (hadrons)h(are)f(formed,)h(branc)m(hing)0 5229 y(ratios)30
27374 b(are)g(not)h(automatically)c(calculated.)42 b(Ho)m(w)m(ev)m(er,)33
27375 b(y)m(ou)e(can)g(set,)h(for)e(the)h(generic)g(top)f(hadron)0
27376 5337 y(86,)e(the)f(branc)m(hing)h(ratios)e(for)g(the)i(t)m(w)m(o)g
27377 (main)d(c)m(hannels)j(t)g Fn(!)f Fw(bH)2460 5301 y Fl(+)2547
27378 5337 y Fw(and)g(t)g Fn(!)h Fw(bW)3079 5301 y Fl(+)3139
27379 5337 y Fw(.)41 b(In)28 b(this)f(option)0 5445 y(the)41
27380 b(cross)h(section)f(for)g(top)g(pro)s(duction)f(will)f(not)h(b)s(e)i
27381 (reduced)g(if)e(only)g(the)i(t)g Fn(!)f Fw(bH)3334 5409
27382 y Fl(+)3435 5445 y Fw(deca)m(y)h(is)0 5554 y(switc)m(hed)34
27383 b(on,)e(cf.)44 b(section)33 b(7.6.2.)1817 5953 y(132)p
27384 eop
27385 %%Page: 133 139
27386 133 138 bop 0 -18 a Fp(8.5)135 b(Non-Standard)45 b(Ph)l(ysics)0
27387 154 y Fw(The)c(n)m(um)m(b)s(er)g(of)f(p)s(ossible)g(non-Standard)g(Mo)s
27388 (del)g(scenarios)h(is)e(essen)m(tially)h(in\014nite,)i(but)e(man)m(y)0
27389 263 y(of)d(the)i(studied)f(scenarios)g(still)d(share)k(a)e(lot)g(of)g
27390 (asp)s(ects.)60 b(F)-8 b(or)37 b(instance,)j(new)f(W)3159
27391 226 y Fk(0)3220 263 y Fw(and)f(Z)3475 226 y Fk(0)3536
27392 263 y Fw(gauge)0 371 y(b)s(osons)g(can)h(arise)e(in)g(a)h(n)m(um)m(b)s
27393 (er)g(of)f(di\013eren)m(t)h(w)m(a)m(ys.)62 b(Therefore)39
27394 b(it)d(still)g(mak)m(es)i(sense)i(to)e(try)g(to)0 479
27395 y(co)m(v)m(er)27 b(a)f(few)g(basic)g(classes)h(of)e(particles,)i(with)e
27396 (enough)i(freedom)e(in)g(couplings)g(that)h(man)m(y)g(kinds)g(of)0
27397 588 y(detailed)k(scenarios)h(can)g(b)s(e)g(accommo)s(dated)e(b)m(y)j
27398 (suitable)e(parameter)g(c)m(hoices.)44 b(W)-8 b(e)31
27399 b(ha)m(v)m(e)h(already)0 696 y(seen)i(one)f(example)f(of)g(this,)g(in)g
27400 (the)h(extended)h(Higgs)e(sector)h(ab)s(o)m(v)m(e.)44
27401 b(In)33 b(this)f(section)h(a)f(few)h(other)0 804 y(kinds)g(of)g
27402 (non-standard)g(generic)g(ph)m(ysics)h(is)f(discussed.)46
27403 b(Clearly)32 b(man)m(y)h(others)h(could)e(ha)m(v)m(e)j(b)s(een)0
27404 913 y(included,)i(but)g(there)g(is)f(probably)g(only)g(one)h(glaring)d
27405 (omission:)50 b(curren)m(tly)37 b(no)f(sup)s(ersymmetric)0
27406 1021 y(particle)f(pro)s(duction)i(has)g(b)s(een)g(included.)56
27407 b(One)37 b(main)e(reason)j(for)e(this)g(is)h(the)g(large)f(n)m(um)m(b)s
27408 (er)h(of)0 1129 y(particles,)32 b(pro)s(cesses,)j(p)s(ossible)c(mass)i
27409 (hierarc)m(hies)g(and)f(deca)m(y)i(c)m(hains.)0 1377
27410 y Fo(8.5.1)112 b(F)-9 b(ourth-generation)38 b(fermions)0
27411 1550 y Fq(MSEL)c Fw(=)e(7,)g(8,)h(37,)f(38)0 1658 y(ISUB)h(=)147
27412 1754 y(1)100 b(f)326 1769 y Fh(i)p 354 1675 37 4 v 354
27413 1754 a Fw(f)391 1769 y Fh(i)446 1754 y Fn(!)28 b Fj(\015)630
27414 1718 y Fk(\003)669 1754 y Fj(=)p Fw(Z)778 1718 y Fl(0)147
27415 1875 y Fw(2)100 b(f)326 1890 y Fh(i)p 354 1795 V 354
27416 1875 a Fw(f)391 1890 y Fh(j)455 1875 y Fn(!)27 b Fw(W)683
27417 1838 y Fl(+)99 1995 y Fw(81)99 b(q)347 2010 y Fh(i)p
27418 375 1942 52 4 v 375 1995 a Fw(q)427 2019 y Fh(i)483 1995
27419 y Fn(!)27 b Fw(Q)686 2010 y Fh(k)p 729 1917 76 4 v 729
27420 1995 a Fw(Q)804 2019 y Fh(k)99 2115 y Fw(82)99 b(gg)28
27421 b Fn(!)g Fw(Q)626 2130 y Fh(k)p 668 2037 V 668 2115 a
27422 Fw(Q)744 2139 y Fh(k)99 2236 y Fw(83)99 b(q)347 2251
27423 y Fh(i)375 2236 y Fw(f)405 2251 y Fh(j)469 2236 y Fn(!)28
27424 b Fw(Q)673 2251 y Fh(k)715 2236 y Fw(f)745 2251 y Fh(l)99
27425 2356 y Fw(84)99 b(g)q Fj(\015)33 b Fn(!)27 b Fw(Q)633
27426 2371 y Fh(k)p 675 2278 V 675 2356 a Fw(Q)751 2380 y Fh(k)99
27427 2477 y Fw(85)99 b Fj(\015)5 b(\015)32 b Fn(!)c Fw(F)627
27428 2492 y Fh(k)p 669 2398 64 4 v 669 2477 a Fw(F)733 2492
27429 y Fh(k)50 2597 y Fw(141)99 b(f)326 2612 y Fh(i)p 354
27430 2518 37 4 v 354 2597 a Fw(f)391 2612 y Fh(i)446 2597
27431 y Fn(!)28 b Fj(\015)5 b(=)p Fw(Z)739 2561 y Fl(0)777
27432 2597 y Fj(=)p Fw(Z)886 2561 y Fk(0)p Fl(0)50 2717 y Fw(142)99
27433 b(f)326 2732 y Fh(i)p 354 2638 V 354 2717 a Fw(f)391
27434 2732 y Fh(j)455 2717 y Fn(!)27 b Fw(W)683 2681 y Fk(0)p
27435 Fl(+)146 2827 y Fw(The)36 b(prosp)s(ects)g(of)e(a)g(fourth)h
27436 (generation)f(curren)m(tly)h(seem)g(rather)g(dim,)e(but)i(the)g
27437 (appropriate)0 2936 y(\015a)m(v)m(our)c(con)m(ten)m(t)g(is)f(still)e
27438 (found)i(in)f(the)i(program.)41 b(In)31 b(fact,)f(the)h(fourth)f
27439 (generation)f(is)h(included)g(on)0 3044 y(an)38 b(equal)g(basis)h(with)
27440 e(the)i(\014rst)g(three,)i(pro)m(vided)d Fq(MSTP\(1\)=4)p
27441 Fw(.)63 b(Also)38 b(pro)s(cesses)i(other)f(than)f(the)0
27442 3152 y(ones)g(ab)s(o)m(v)m(e)h(can)f(therefore)g(b)s(e)g(used,)i(e.g.)
27443 60 b(all)35 b(other)j(pro)s(cesses)i(with)d(gauge)h(b)s(osons,)h
27444 (including)0 3261 y(non-standard)j(ones)g(suc)m(h)h(as)f(the)g(Z)1427
27445 3225 y Fk(0)p Fl(0)1485 3261 y Fw(.)71 b(W)-8 b(e)42
27446 b(therefore)g(do)f(not)h(rep)s(eat)g(the)g(descriptions)f(found)0
27447 3369 y(elsewhere,)c(e.g.)51 b(ho)m(w)35 b(to)g(set)h(only)e(the)h
27448 (desired)h(\015a)m(v)m(our)g(in)e(pro)s(cesses)j(81{85.)49
27449 b(Note)35 b(that)g(it)f(ma)m(y)0 3477 y(b)s(e)27 b(con)m(v)m(enien)m(t)
27450 i(to)d(set)h Fq(CKIN\(1\))i Fw(and)e(other)g(cuts)h(suc)m(h)g(that)e
27451 (the)i(mass)e(of)h(pro)s(duced)g(gauge)g(b)s(osons)0
27452 3586 y(is)35 b(enough)h(for)f(the)h(w)m(an)m(ted)h(particle)e(pro)s
27453 (duction)f(|)i(in)e(principle)g(the)i(program)f(will)e(cop)s(e)j(ev)m
27454 (en)0 3694 y(without)c(that,)h(but)f(p)s(ossibly)g(at)h(the)g(exp)s
27455 (ense)h(of)e(v)m(ery)i(slo)m(w)f(execution.)0 3942 y
27456 Fo(8.5.2)112 b(New)38 b(gauge)g(b)s(osons)0 4114 y Fq(MSEL)c
27457 Fw(=)e(21,)g(22,)g(24)0 4223 y(ISUB)h(=)50 4319 y(141)99
27458 b(f)326 4334 y Fh(i)p 354 4240 V 354 4319 a Fw(f)391
27459 4334 y Fh(i)446 4319 y Fn(!)28 b Fj(\015)5 b(=)p Fw(Z)739
27460 4283 y Fl(0)777 4319 y Fj(=)p Fw(Z)886 4283 y Fk(0)p
27461 Fl(0)50 4439 y Fw(142)99 b(f)326 4454 y Fh(i)p 354 4360
27462 V 354 4439 a Fw(f)391 4454 y Fh(j)455 4439 y Fn(!)27
27463 b Fw(W)683 4403 y Fk(0)p Fl(+)50 4560 y Fw(144)99 b(f)326
27464 4575 y Fh(i)p 354 4481 V 354 4560 a Fw(f)391 4575 y Fh(j)455
27465 4560 y Fn(!)27 b Fw(R)146 4680 y(The)40 b(Z)413 4643
27466 y Fk(0)p Fl(0)509 4680 y Fw(of)e(subpro)s(cess)j(141)c(con)m(tains)i
27467 (the)g(full)d Fj(\015)2098 4643 y Fk(\003)2138 4680 y
27468 Fj(=)p Fw(Z)2247 4643 y Fl(0)2285 4680 y Fj(=)p Fw(Z)2394
27469 4643 y Fk(0)p Fl(0)2491 4680 y Fw(in)m(terference)j(structure)h(for)e
27470 (cou-)0 4788 y(plings)31 b(to)i(fermion)e(pairs.)43 b(With)32
27471 b Fq(MSTP\(44\))j Fw(it)d(is)g(p)s(ossible)g(to)h(pic)m(k)g(only)f(a)g
27472 (subset,)j(e.g.)44 b(only)32 b(the)0 4896 y(pure)i(Z)283
27473 4860 y Fk(0)p Fl(0)375 4896 y Fw(piece.)47 b(The)35 b(couplings)e(of)g
27474 (the)h(Z)1633 4860 y Fk(0)p Fl(0)1725 4896 y Fw(to)f(quarks)i(and)f
27475 (leptons)g(can)g(b)s(e)g(set)g(via)f Fq(PARU\(121\))0
27476 5005 y(-)52 b(PARU\(128\))p Fw(.)c(The)34 b(eigh)m(t)f(n)m(um)m(b)s
27477 (ers)h(corresp)s(ond)g(to)f(the)h(v)m(ector)h(and)e(axial)f(couplings)g
27478 (of)h(do)m(wn-)0 5113 y(t)m(yp)s(e)27 b(quarks,)h(up-t)m(yp)s(e)f
27479 (quarks,)i(leptons)d(and)g(neutrinos,)h(resp)s(ectiv)m(ely)-8
27480 b(.)42 b(The)27 b(default)e(corresp)s(onds)0 5221 y(to)38
27481 b(the)h(same)f(couplings)g(as)g(that)h(of)f(the)g(Standard)h(Mo)s(del)f
27482 (Z)2410 5185 y Fl(0)2449 5221 y Fw(,)i(with)e(axial)e(couplings)i
27483 Fj(a)3471 5236 y Fl(f)3540 5221 y Fw(=)f Fn(\006)p Fw(1)0
27484 5330 y(and)d(v)m(ector)g(couplings)f Fj(v)961 5345 y
27485 Fl(f)1021 5330 y Fw(=)c Fj(a)1177 5345 y Fl(f)1231 5330
27486 y Fn(\000)23 b Fw(4)p Fj(e)1425 5345 y Fl(f)1473 5330
27487 y Fw(sin)1593 5290 y Fl(2)1632 5330 y Fj(\022)1677 5345
27488 y Fh(W)1758 5330 y Fw(.)46 b(This)34 b(implies)d(a)i(resonance)i(width)
27489 e(that)h(increases)0 5438 y(linearly)e(with)i(the)g(mass.)48
27490 b(By)35 b(a)f(suitable)f(c)m(hoice)h(of)g(the)h(parameters,)f(it)f(is)h
27491 (p)s(ossible)f(to)h(sim)m(ulate)0 5546 y(just)e(ab)s(out)f(an)m(y)i
27492 (imaginable)28 b(Z)1206 5510 y Fk(0)p Fl(0)1296 5546
27493 y Fw(scenario,)k(with)f(full)f(in)m(terference)i(e\013ects)i(in)c
27494 (cross)j(sections)f(and)0 5655 y(deca)m(y)i(angular)d(distributions.)
27495 1817 5953 y(133)p eop
27496 %%Page: 134 140
27497 134 139 bop 146 -18 a Fw(The)54 b(coupling)e(to)h(the)g(deca)m(y)i(c)m
27498 (hannel)e(Z)1833 -55 y Fk(0)p Fl(0)1954 -18 y Fn(!)63
27499 b Fw(W)2218 -55 y Fl(+)2277 -18 y Fw(W)2378 -55 y Fk(\000)2491
27500 -18 y Fw(is)53 b(regulated)f(b)m(y)k Fq(PARU\(129\))d(-)0
27501 90 y(PARU\(130\))p Fw(.)43 b(The)25 b(former)e(giv)m(es)h(the)g
27502 (strength)h(of)e(the)h(coupling,)g(whic)m(h)h(determines)f(the)g(rate.)
27503 41 b(The)0 198 y(default,)27 b Fq(PARU\(129\)=1.)p Fw(,)k(corresp)s
27504 (onds)c(to)f(the)g(`extended)j(gauge)d(mo)s(del')e(of)i([Alt89)o(],)h
27505 (wherein)g(the)0 307 y(Z)60 270 y Fl(0)139 307 y Fn(!)40
27506 b Fw(W)380 270 y Fl(+)440 307 y Fw(W)541 270 y Fk(\000)640
27507 307 y Fw(coupling)f(is)h(used,)j(scaled)d(do)m(wn)h(b)m(y)g(a)e(factor)
27508 h Fj(m)2566 270 y Fl(2)2566 331 y(W)2644 307 y Fj(=m)2778
27509 270 y Fl(2)2778 331 y(Z)2821 312 y Fd(0)2847 307 y Fw(,)i(to)e(giv)m(e)
27510 g(a)g(Z)3400 270 y Fk(0)p Fl(0)3498 307 y Fw(partial)0
27511 415 y(width)30 b(in)m(to)g(this)h(c)m(hannel)g(that)f(again)g
27512 (increases)h(linearly)-8 b(.)41 b(If)31 b(this)f(factor)g(is)g
27513 (cancelled,)h(b)m(y)h(ha)m(ving)0 523 y Fq(PARU\(129\))38
27514 b Fw(prop)s(ortional)32 b(to)k Fj(m)1268 487 y Fl(2)1268
27515 548 y(Z)1311 529 y Fd(0)1338 523 y Fj(=m)1472 487 y Fl(2)1472
27516 548 y(W)1549 523 y Fw(,)g(one)g(obtains)f(a)g(partial)e(width)i(that)g
27517 (go)s(es)h(lik)m(e)f(the)g(\014fth)0 632 y(p)s(o)m(w)m(er)e(of)f(the)g
27518 (Z)622 595 y Fk(0)p Fl(0)712 632 y Fw(mass,)h(the)f(`reference)i(mo)s
27519 (del')c(of)i([Alt89)o(].)43 b(In)33 b(the)f(deca)m(y)i(angular)c
27520 (distribution)0 740 y(one)e(could)f(imagine)d(a)k(m)m(uc)m(h)f(ric)m
27521 (her)h(structure)h(than)e(is)g(giv)m(en)g(b)m(y)i(the)f(one)f
27522 (parameter)g Fq(PARU\(130\))p Fw(.)146 848 y(Other)j(deca)m(y)h(mo)s
27523 (des)e(include)f(Z)1383 812 y Fk(0)p Fl(0)1469 848 y
27524 Fn(!)f Fw(Z)1656 812 y Fl(0)1695 848 y Fw(H)1768 812
27525 y Fl(0)1808 848 y Fw(,)j(predicted)g(in)e(left{righ)m(t)g(symmetric)g
27526 (mo)s(dels)g(\(see)0 957 y Fq(PARU\(145\))39 b Fw(and)d(ref.)55
27527 b([Co)s(c91]\),)37 b(and)g(a)f(n)m(um)m(b)s(er)h(of)e(other)i(Higgs)e
27528 (deca)m(y)j(c)m(hannels,)g(see)g(sections)0 1065 y(8.4.3)32
27529 b(and)h(8.4.4.)146 1173 y(The)44 b(W)458 1137 y Fk(0\006)579
27530 1173 y Fw(of)f(subpro)s(cess)h(142)e(so)h(far)f(do)s(es)h(not)g(con)m
27531 (tain)f(in)m(terference)i(with)e(the)h(Standard)0 1282
27532 y(Mo)s(del)31 b(W)398 1245 y Fk(\006)489 1282 y Fw(|)g(in)g(practice)g
27533 (this)g(should)h(not)f(b)s(e)h(a)f(ma)5 b(jor)30 b(limitation.)39
27534 b(The)32 b(couplings)f(of)g(the)h(W)3756 1245 y Fk(0)0
27535 1390 y Fw(to)40 b(quarks)i(and)e(leptons)h(are)f(set)h(via)f
27536 Fq(PARU\(131\))54 b(-)d(PARU\(134\))p Fw(.)70 b(Again)39
27537 b(one)i(ma)m(y)f(set)h(v)m(ector)0 1498 y(and)29 b(axial)e(couplings)h
27538 (freely)-8 b(,)30 b(separately)f(for)f(the)i(q)p 1946
27539 1445 52 4 v(q)1998 1462 y Fk(0)2050 1498 y Fw(and)f(the)g
27540 Fj(`\027)2489 1513 y Fh(`)2551 1498 y Fw(deca)m(y)i(c)m(hannels.)43
27541 b(The)30 b(defaults)0 1607 y(corresp)s(ond)43 b(to)g(the)g
27542 Fj(V)50 b Fn(\000)30 b Fj(A)43 b Fw(structure)h(of)e(the)h(Standard)g
27543 (Mo)s(del)f(W)q(,)j(but)e(can)g(b)s(e)g(c)m(hanged)h(to)0
27544 1715 y(sim)m(ulate)35 b(a)h(wide)g(selection)g(of)g(mo)s(dels.)53
27545 b(One)37 b(p)s(ossible)e(limitation)d(is)k(that)g(the)g(same)g(Cabibb)s
27546 (o{)0 1823 y(Koba)m(y)m(ashi{Mask)-5 b(a)m(w)m(a)34 b(quark)f(mixing)e
27547 (matrix)g(is)h(assumed)h(as)g(for)f(the)h(standard)g(W)q(.)146
27548 1932 y(The)e(coupling)e(W)833 1896 y Fk(0)885 1932 y
27549 Fn(!)e Fw(Z)1072 1896 y Fl(0)1111 1932 y Fw(W)32 b(can)e(b)s(e)g(set)h
27550 (via)e Fq(PARU\(135\))54 b(-)d(PARU\(136\))p Fw(.)45
27551 b(F)-8 b(urther)31 b(commen)m(ts)0 2040 y(on)j(this)g(c)m(hannel)h(as)g
27552 (for)e(Z)1018 2004 y Fk(0)1041 2040 y Fw(;)i(in)f(particular,)f
27553 (default)h(couplings)f(again)g(agree)i(with)f(the)g(`extended)0
27554 2148 y(gauge)42 b(mo)s(del')f(of)h([Alt89)o(].)74 b(A)42
27555 b(W)1341 2112 y Fk(0)1410 2148 y Fn(!)i Fw(WH)1727 2112
27556 y Fl(0)1809 2148 y Fw(c)m(hannel)f(is)f(also)g(included,)j(in)d
27557 (analogy)f(with)h(the)0 2257 y(Z)60 2221 y Fk(0)p Fl(0)146
27558 2257 y Fn(!)27 b Fw(Z)333 2221 y Fl(0)372 2257 y Fw(H)445
27559 2221 y Fl(0)517 2257 y Fw(one,)33 b(see)h Fq(PARU\(146\))p
27560 Fw(.)146 2365 y(The)28 b(R)e(b)s(oson)g(\(particle)f(co)s(de)h(40\))g
27561 (of)g(subpro)s(cess)i(144)e(represen)m(ts)j(one)d(p)s(ossible)g
27562 (scenario)g(for)g(a)0 2473 y(horizon)m(tal)e(gauge)i(b)s(oson,)i(i.e.)
27563 41 b(a)26 b(gauge)g(b)s(oson)g(that)g(couples)g(b)s(et)m(w)m(een)j(the)
27564 d(generations,)h(inducing)0 2582 y(pro)s(cesses)h(lik)m(e)d(s)p
27565 625 2503 55 4 v(d)j Fn(!)f Fw(R)906 2546 y Fl(0)973 2582
27566 y Fn(!)h Fj(\026)1160 2546 y Fk(\000)1218 2582 y Fw(e)1261
27567 2546 y Fl(+)1321 2582 y Fw(.)41 b(Exp)s(erimen)m(tal)25
27568 b(limits)d(on)k(\015a)m(v)m(our-c)m(hanging)g(neutral)f(curren)m(ts)0
27569 2690 y(forces)38 b(suc)m(h)h(a)e(b)s(oson)h(to)f(b)s(e)h(fairly)d(hea)m
27570 (vy)-8 b(.)60 b(The)38 b(mo)s(del)e(implemen)m(ted)g(is)h(the)h(one)g
27571 (describ)s(ed)g(in)0 2798 y([Ben85a].)0 3046 y Fo(8.5.3)112
27572 b(Lepto)s(quarks)0 3219 y Fq(MSEL)34 b Fw(=)e(25)0 3327
27573 y(ISUB)h(=)50 3423 y(145)99 b(q)347 3438 y Fh(i)375 3423
27574 y Fj(`)416 3438 y Fh(j)481 3423 y Fn(!)27 b Fw(L)669
27575 3438 y Fl(Q)50 3544 y Fw(162)99 b(qg)29 b Fn(!)e Fj(`)p
27576 Fw(L)654 3559 y Fl(Q)50 3664 y Fw(163)99 b(gg)28 b Fn(!)g
27577 Fw(L)611 3679 y Fl(Q)p 670 3586 61 4 v 670 3664 a Fw(L)731
27578 3679 y Fl(Q)50 3785 y Fw(164)99 b(q)347 3800 y Fh(i)p
27579 375 3732 52 4 v 375 3785 a Fw(q)427 3808 y Fh(i)483 3785
27580 y Fn(!)27 b Fw(L)671 3800 y Fl(Q)p 730 3706 61 4 v 730
27581 3785 a Fw(L)791 3800 y Fl(Q)146 3895 y Fw(Sev)m(eral)34
27582 b(pro)s(cesses)i(that)e(can)g(generate)g(a)f(lepto)s(quark)h(ha)m(v)m
27583 (e)h(b)s(een)f(included.)46 b(Curren)m(tly)35 b(only)0
27584 4003 y(one)44 b(lepto)s(quark)f(has)h(b)s(een)g(implemen)m(ted,)h(as)e
27585 (particle)f(39,)k(denoted)e(L)2839 4018 y Fl(Q)2898 4003
27586 y Fw(.)76 b(The)45 b(lepto)s(quark)e(is)0 4111 y(assumed)c(to)g(carry)g
27587 (sp)s(eci\014c)g(quark)h(and)e(lepton)h(quan)m(tum)g(n)m(um)m(b)s(ers,)
27588 i(b)m(y)e(default)f(u)h(quark)h(plus)0 4220 y(electron.)55
27589 b(These)39 b(\015a)m(v)m(our)e(n)m(um)m(b)s(ers)g(are)g(conserv)m(ed,)j
27590 (i.e.)55 b(a)36 b(pro)s(cess)i(suc)m(h)g(as)e(ue)3125
27591 4183 y Fk(\000)3219 4220 y Fn(!)e Fw(L)3414 4235 y Fl(Q)3508
27592 4220 y Fn(!)g Fw(d)p Fj(\027)3744 4235 y Fl(e)0 4328
27593 y Fw(is)j(not)h(allo)m(w)m(ed.)59 b(This)38 b(ma)m(y)g(b)s(e)g(a)f(bit)
27594 g(restrictiv)m(e,)j(but)e(it)f(represen)m(ts)j(one)e(of)g(man)m(y)g
27595 (lepto)s(quark)0 4436 y(p)s(ossibilities.)h(The)28 b(spin)f(of)f(the)i
27596 (lepto)s(quark)f(is)g(assumed)g(to)g(b)s(e)g(zero,)i(i.e.)41
27597 b(its)27 b(deca)m(y)h(is)f(isotropical.)146 4545 y(Although)i(only)f
27598 (one)i(lepto)s(quark)f(is)f(implemen)m(ted,)h(its)f(\015a)m(v)m(ours)j
27599 (ma)m(y)e(b)s(e)g(c)m(hanged)h(arbitrarily)0 4653 y(to)44
27600 b(study)h(the)g(di\013eren)m(t)g(p)s(ossibilities.)75
27601 b(The)46 b(\015a)m(v)m(ours)f(of)f(the)h(lepto)s(quark)f(are)g
27602 (de\014ned)i(b)m(y)f(the)0 4761 y(quark)28 b(and)g(lepton)e(\015a)m(v)m
27603 (ours)j(in)e(the)g(deca)m(y)i(mo)s(de)e(list.)40 b(Since)27
27604 b(only)g(one)h(deca)m(y)h(c)m(hannel)e(is)g(allo)m(w)m(ed,)0
27605 4870 y(this)36 b(means)h(that)f(the)h(quark)g(\015a)m(v)m(our)g(is)f
27606 (stored)h(in)f Fq(KFDP\(MDCY\(39,2\),1\))41 b Fw(and)36
27607 b(the)h(lepton)f(one)0 4978 y(in)44 b Fq(KFDP\(MDCY\(39,2\),2\))p
27608 Fw(.)85 b(The)45 b(former)f(m)m(ust)h(alw)m(a)m(ys)g(b)s(e)g(a)g
27609 (quark,)j(while)c(the)h(latter)f(could)0 5086 y(b)s(e)35
27610 b(a)f(lepton)g(or)g(an)g(an)m(tilepton;)h(a)f(c)m(harge-conjugate)h
27611 (partner)g(is)f(automatically)d(de\014ned)36 b(b)m(y)f(the)0
27612 5195 y(program.)41 b(A)m(t)28 b(initialization,)c(the)k(c)m(harge)h(is)
27613 f(recalculated)f(as)i(a)f(function)f(of)h(the)g(\015a)m(v)m(ours)i
27614 (de\014ned;)0 5303 y(also)g(the)h(lepto)s(quark)f(name)g(is)g
27615 (rede\014ned)i(to)f(b)s(e)f(of)g(the)h(t)m(yp)s(e)h Fq('LQ)p
27616 2517 5303 31 4 v 37 w(\(q\)\(l\)')p Fw(,)h(where)f(actual)e(quark)0
27617 5411 y Fq(\(q\))j Fw(and)g(lepton)f Fq(\(l\))h Fw(\015a)m(v)m(ours)h
27618 (are)f(displa)m(y)m(ed.)146 5520 y(The)49 b(L)423 5535
27619 y Fl(Q)535 5520 y Fn(!)54 b Fw(q)p Fj(`)48 b Fw(v)m(ertex)h(con)m
27620 (tains)f(an)g(undetermined)g(Y)-8 b(uk)j(a)m(w)m(a)48
27621 b(coupling)f(strength,)52 b(whic)m(h)0 5628 y(a\013ects)30
27622 b(b)s(oth)g(the)f(width)h(of)f(the)h(lepto)s(quark)f(and)h(the)g(cross)
27623 g(section)g(for)f(man)m(y)g(of)g(the)h(pro)s(duction)1817
27624 5953 y(134)p eop
27625 %%Page: 135 141
27626 135 140 bop 0 -18 a Fw(graphs.)92 b(This)48 b(strength)h(ma)m(y)g(b)s
27627 (e)f(c)m(hanged)i(in)e Fq(PARU\(151\))p Fw(.)93 b(The)50
27628 b(de\014nition)d(of)55 b Fq(PARU\(151\))0 90 y Fw(corresp)s(onds)26
27629 b(to)f(the)h Fj(k)i Fw(factor)c(of)h([Hew88],)i(i.e.)40
27630 b(to)25 b Fj(\025)1980 54 y Fl(2)2020 90 y Fj(=)p Fw(\(4)p
27631 Fj(\031)t(\013)2277 105 y Fl(em)2370 90 y Fw(\),)i(where)f
27632 Fj(\025)f Fw(is)g(the)g(Y)-8 b(uk)j(a)m(w)m(a)26 b(coupling)0
27633 198 y(strength)33 b(of)f([W)-8 b(ud86)q(].)43 b(Note)33
27634 b(that)f Fq(PARU\(151\))j Fw(is)d(th)m(us)i(quadratic)e(in)g(the)h
27635 (coupling.)146 307 y(The)i(lepto)s(quark)f(is)f(lik)m(ely)f(to)i(b)s(e)
27636 f(fairly)f(long-liv)m(ed,)g(in)h(whic)m(h)h(case)h(it)d(has)j(time)d
27637 (to)h(fragmen)m(t)0 415 y(in)m(to)f(a)h(mesonic-)f(or)g(bary)m(onic-t)m
27638 (yp)s(e)h(state,)h(whic)m(h)f(w)m(ould)g(deca)m(y)h(later)e(on.)44
27639 b(This)34 b(is)e(a)g(bit)g(tedious)0 523 y(to)g(handle;)g(therefore)h
27640 (the)g(lepto)s(quark)f(is)g(alw)m(a)m(ys)h(assumed)g(to)f(deca)m(y)h(b)
27641 s(efore)g(fragmen)m(tation)d(has)0 632 y(to)k(b)s(e)h(considered.)51
27642 b(This)35 b(ma)m(y)f(giv)m(e)h(some)f(imp)s(erfections)f(in)h(the)i(ev)
27643 m(en)m(t)g(generation,)f(but)g(should)0 740 y(not)d(b)s(e)h(o\013)f(b)m
27644 (y)i(m)m(uc)m(h)f(in)f(the)h(\014nal)f(analysis.)146
27645 848 y(Inside)k(the)f(program,)g(the)g(lepto)s(quark)g(is)g(treated)g
27646 (as)g(a)g(resonance.)52 b(Since)35 b(it)f(carries)h(colour,)0
27647 957 y(some)e(extra)h(care)f(is)g(required.)46 b(In)33
27648 b(particular,)f(it)g(is)h(not)g(allo)m(w)m(ed)g(to)f(put)i(the)g(lepto)
27649 s(quark)f(stable,)0 1065 y(b)m(y)47 b(mo)s(difying)c(either)i
27650 Fq(MDCY\(39,1\))k Fw(or)c Fq(MSTP\(41\))p Fw(:)72 b(then)46
27651 b(the)g(lepto)s(quark)g(w)m(ould)g(b)s(e)g(handed)0 1173
27652 y(undeca)m(y)m(ed)32 b(to)d Fm(Jetset)p Fw(,)f(whic)m(h)i(w)m(ould)f
27653 (try)h(to)e(fragmen)m(t)h(it)f(\(as)h(it)f(do)s(es)i(with)f(an)m(y)h
27654 (other)f(coloured)0 1282 y(ob)5 b(ject\),)33 b(and)g(most)f(lik)m(ely)f
27655 (crash.)0 1529 y Fo(8.5.4)112 b(Comp)s(ositeness)38 b(and)g(anomalous)g
27656 (couplings)0 1702 y Fw(ISUB)33 b(=)99 1798 y(11)99 b(f)326
27657 1813 y Fh(i)354 1798 y Fw(f)384 1813 y Fh(j)448 1798
27658 y Fn(!)27 b Fw(f)605 1813 y Fh(i)633 1798 y Fw(f)663
27659 1813 y Fh(j)732 1798 y Fw(\(QCD\))99 1919 y(12)99 b(f)326
27660 1934 y Fh(i)p 354 1839 37 4 v 354 1919 a Fw(f)391 1934
27661 y Fh(i)446 1919 y Fn(!)28 b Fw(f)604 1934 y Fh(k)p 646
27662 1839 V 646 1919 a Fw(f)683 1934 y Fh(k)99 2039 y Fw(20)99
27663 b(f)326 2054 y Fh(i)p 354 1960 V 354 2039 a Fw(f)391
27664 2054 y Fh(j)455 2039 y Fn(!)27 b Fj(\015)5 b Fw(W)739
27665 2003 y Fl(+)50 2159 y Fw(165)99 b(f)326 2174 y Fh(i)p
27666 354 2080 V 354 2159 a Fw(f)391 2174 y Fh(i)446 2159 y
27667 Fn(!)28 b Fw(f)604 2174 y Fh(k)p 646 2080 V 646 2159
27668 a Fw(f)683 2174 y Fh(k)758 2159 y Fw(\(via)k Fj(\015)1012
27669 2123 y Fk(\003)1051 2159 y Fj(=)p Fw(Z)1160 2123 y Fl(0)1199
27670 2159 y Fw(\))50 2280 y(166)99 b(f)326 2295 y Fh(i)p 354
27671 2201 V 354 2280 a Fw(f)391 2295 y Fh(j)455 2280 y Fn(!)27
27672 b Fw(f)612 2295 y Fh(k)p 654 2201 V 654 2280 a Fw(f)691
27673 2295 y Fh(l)750 2280 y Fw(\(via)32 b(W)1049 2244 y Fk(\006)1108
27674 2280 y Fw(\))146 2390 y(Some)41 b(pro)s(cesses)i(ha)m(v)m(e)f(b)s(een)g
27675 (set)f(up)h(to)e(allo)m(w)g(anomalous)f(coupling)g(to)i(b)s(e)g(in)m
27676 (tro)s(duced,)i(in)0 2498 y(addition)d(to)h(the)i(Standard)f(Mo)s(del)f
27677 (ones.)72 b(These)43 b(can)f(b)s(e)g(switc)m(hed)h(on)f(b)m(y)i
27678 Fq(MSTP\(5\))p Fn(\025)i Fw(1;)g(the)0 2606 y(default)32
27679 b Fq(MSTP\(5\)=0)j Fw(corresp)s(onds)f(to)e(the)h(Standard)g(Mo)s(del)f
27680 (b)s(eha)m(viour.)146 2715 y(In)42 b(pro)s(cesses)i(11)c(and)i(12,)h
27681 (the)f(quark)g(substructure)i(is)d(included)g(in)f(the)i(left{left)e
27682 (isoscalar)0 2823 y(mo)s(del)46 b([Eic84,)h(Chi90])g(for)h
27683 Fq(MSTP\(5\)=1)p Fw(,)54 b(with)47 b(comp)s(ositeness)h(scale)g(\003)f
27684 (giv)m(en)h(in)f Fq(PARU\(155\))0 2931 y Fw(\(default)31
27685 b(1000)f(GeV\))h(and)h(sign)f Fj(\021)k Fw(of)c(in)m(terference)h(term)
27686 f(in)g Fq(PARU\(156\))i Fw(\(default)e(+1;)g(only)g(other)0
27687 3040 y(alternativ)m(e)47 b Fn(\000)p Fw(1\).)88 b(The)48
27688 b(ab)s(o)m(v)m(e)g(mo)s(del)e(assumes)j(that)e(only)g(u)g(and)h(d)f
27689 (quarks)i(are)f(comp)s(osite)0 3148 y(\(at)35 b(least)h(at)f(the)i
27690 (scale)e(studied\);)j(with)e Fq(MSTP\(5\)=2)i Fw(comp)s(ositeness)e
27691 (terms)g(are)g(included)f(in)g(the)0 3257 y(in)m(teractions)d(b)s(et)m
27692 (w)m(een)j(all)30 b(quarks.)146 3365 y(The)42 b(pro)s(cesses)h(165)e
27693 (and)g(166)f(are)h(basically)f(equiv)-5 b(alen)m(t)40
27694 b(to)h(1)g(and)g(2,)i(i.e.)68 b Fj(\015)3192 3329 y Fk(\003)3232
27695 3365 y Fj(=)p Fw(Z)3341 3329 y Fl(0)3421 3365 y Fw(and)41
27696 b(W)3720 3329 y Fk(\006)0 3473 y Fw(exc)m(hange,)27 b(resp)s(ectiv)m
27697 (ely)-8 b(,)26 b(but)e(a)f(bit)g(less)g(fancy)h(\(no)g(mass-dep)s
27698 (enden)m(t)h(width)e(etc.\).)41 b(The)24 b(reason)g(for)0
27699 3582 y(this)30 b(duplication)e(is)h(that)h(the)h(resonance)g(treatmen)m
27700 (t)f(formalism)d(of)j(pro)s(cesses)i(1)e(and)g(2)g(could)g(not)0
27701 3690 y(easily)d(b)s(e)h(extended)i(to)e(include)g(other)g(than)g
27702 Fj(s)p Fw(-c)m(hannel)g(graphs.)42 b(In)28 b(pro)s(cesses)i(165)e(and)g
27703 (166,)g(only)0 3798 y(one)i(\014nal-state)f(\015a)m(v)m(our)h(is)f
27704 (generated)h(at)g(the)g(time;)f(this)g(\015a)m(v)m(our)h(should)g(b)s
27705 (e)g(set)g(in)f Fq(KFPR\(165,1\))0 3907 y Fw(and)43 b
27706 Fq(KFPR\(166,1\))p Fw(,)49 b(resp)s(ectiv)m(ely)-8 b(.)76
27707 b(F)-8 b(or)42 b(pro)s(cess)i(166)f(one)g(giv)m(es)h(the)f(do)m(wn-t)m
27708 (yp)s(e)i(\015a)m(v)m(our,)h(and)0 4015 y(the)j(program)e(will)f(asso)s
27709 (ciate)i(the)h(up-t)m(yp)s(e)g(\015a)m(v)m(our)g(of)f(the)h(same)f
27710 (generation.)90 b(Defaults)47 b(are)0 4123 y(11)e(in)f(b)s(oth)i
27711 (cases,)k(i.e.)81 b(e)1050 4087 y Fl(+)1110 4123 y Fw(e)1153
27712 4087 y Fk(\000)1257 4123 y Fw(and)46 b(e)1503 4087 y
27713 Fl(+)1562 4123 y Fj(\027)1610 4138 y Fl(e)1691 4123 y
27714 Fw(\(e)1772 4087 y Fk(\000)p 1832 4070 55 4 v 1832 4123
27715 a Fj(\027)1886 4138 y Fl(e)1922 4123 y Fw(\))f(\014nal)f(states.)83
27716 b(While)45 b Fq(MSTP\(5\)=0)i Fw(giv)m(es)f(the)0 4232
27717 y(Standard)29 b(Mo)s(del)f(results,)j Fq(MSTP\(5\)=1)g
27718 Fw(con)m(tains)e(the)g(left{left)e(isoscalar)h(mo)s(del)f(\(whic)m(h)i
27719 (do)s(es)h(not)0 4340 y(a\013ect)25 b(pro)s(cess)i(166\),)e(and)h
27720 Fq(MSTP\(5\)=3)h Fw(the)e(helicit)m(y-non-conserving)f(mo)s(del)g
27721 (\(whic)m(h)h(a\013ects)h(b)s(oth\))0 4448 y([Eic84)o(,)31
27722 b(Lan91].)42 b(Both)31 b(mo)s(dels)e(ab)s(o)m(v)m(e)j(assume)f(that)f
27723 (only)g(u)h(and)f(d)h(quarks)h(are)f(comp)s(osite;)f(with)0
27724 4557 y Fq(MSTP\(5\)=)f Fw(2)d(or)g(4,)i(resp)s(ectiv)m(ely)-8
27725 b(,)29 b(con)m(tact)e(terms)f(are)h(included)f(for)g(all)e(quarks)k(in)
27726 e(the)h(initial)c(state.)0 4665 y(P)m(arameters)33 b(are)g
27727 Fq(PARU\(155\))i Fw(and)d Fq(PARU\(156\))p Fw(,)j(as)e(ab)s(o)m(v)m(e.)
27728 146 4773 y(Note)i(that)g(pro)s(cesses)h(165)e(and)h(166)f(are)g(b)s(o)s
27729 (okk)m(ept)i(as)f(2)c Fn(!)g Fw(2)j(pro)s(cesses,)j(while)d(1)g(and)h
27730 (2)f(are)0 4882 y(2)i Fn(!)h Fw(1)g(ones.)60 b(This)38
27731 b(means)g(that)g(the)g(default)f(Q)1910 4845 y Fl(2)1988
27732 4882 y Fw(scale)g(in)h(parton)f(distributions)g(is)g
27733 Fj(p)3393 4845 y Fl(2)3393 4906 y Fk(?)3490 4882 y Fw(for)g(the)0
27734 4990 y(former)c(and)38 b(^)-53 b Fj(s)34 b Fw(for)g(the)h(latter.)47
27735 b(T)-8 b(o)34 b(mak)m(e)g(con)m(tact)h(b)s(et)m(w)m(een)h(the)f(t)m(w)m
27736 (o,)g(it)e(is)h(recommended)g(to)g(set)0 5098 y Fq(MSTP\(32\)=4)p
27737 Fw(,)h(so)e(as)g(to)f(use)38 b(^)-53 b Fj(s)32 b Fw(as)h(scale)f(also)g
27738 (for)g(pro)s(cesses)j(165)d(and)g(166.)146 5207 y(In)41
27739 b(pro)s(cess)h(20,)g(for)e(W)q Fj(\015)46 b Fw(pair)39
27740 b(pro)s(duction,)j(it)e(is)f(p)s(ossible)h(to)g(set)i(an)e(anomalous)f
27741 (magnetic)0 5315 y(momen)m(t)26 b(for)h(the)h(W)h(in)d
27742 Fq(PARU\(153\))k Fw(\(=)d Fj(\021)32 b Fw(=)27 b Fj(\024)11
27743 b Fn(\000)g Fw(1;)30 b(where)f Fj(\024)f Fw(=)f(1)g(is)g(the)h
27744 (Standard)f(Mo)s(del)g(v)-5 b(alue\).)0 5423 y(The)35
27745 b(pro)s(duction)f(pro)s(cess)i(is)d(a\013ected)j(according)d(to)h(the)h
27746 (form)m(ulae)e(of)h([Sam91)o(],)h(while)e(W)j(deca)m(y)0
27747 5532 y(curren)m(tly)d(remains)f(una\013ected.)45 b(It)32
27748 b(is)g(necessary)j(to)e(set)g Fq(MSTP\(5\)=1)i Fw(to)d(enable)g(this)h
27749 (extension.)1817 5953 y(135)p eop
27750 %%Page: 136 142
27751 136 141 bop 0 -18 a Fo(8.5.5)112 b(Excited)36 b(fermions)0
27752 154 y Fw(ISUB)d(=)50 250 y(147)99 b(dg)29 b Fn(!)e Fw(d)609
27753 214 y Fk(\003)50 371 y Fw(148)99 b(ug)29 b Fn(!)e Fw(u)609
27754 335 y Fk(\003)50 491 y Fw(167)99 b(qq)398 455 y Fk(0)450
27755 491 y Fn(!)27 b Fw(q)628 455 y Fk(00)671 491 y Fw(d)725
27756 455 y Fk(\003)50 612 y Fw(168)99 b(qq)398 575 y Fk(0)450
27757 612 y Fn(!)27 b Fw(q)628 575 y Fk(00)671 612 y Fw(u)725
27758 575 y Fk(\003)146 722 y Fw(Comp)s(ositeness)32 b(scenarios)g(ma)m(y)g
27759 (also)e(giv)m(e)i(rise)f(to)h(sharp)g(resonances)h(of)e(excited)h
27760 (quarks)h(and)0 830 y(leptons.)55 b(If)43 b Fq(MSTP\(6\)=1)p
27761 Fw(,)d(then)d(at)f(initialization)30 b(the)37 b(standard)g(fourth)f
27762 (generation)g(of)g(fermions)0 938 y(will)g(b)s(e)j(o)m(v)m(erwritten,)i
27763 (and)e(made)f(to)g(corresp)s(ond)h(to)g(an)f(excited)h(cop)m(y)h(of)e
27764 (the)h(\014rst)g(generation,)0 1047 y(consisting)30 b(of)g(spin)h(1)p
27765 Fj(=)p Fw(2)f(particles)g(d)1383 1010 y Fk(\003)1454
27766 1047 y Fw(\(co)s(de)h(7\),)g(u)1914 1010 y Fk(\003)1984
27767 1047 y Fw(\(8\),)g(e)2210 1010 y Fk(\003)2280 1047 y
27768 Fw(\(17\))g(and)g Fj(\027)2727 1010 y Fk(\003)2721 1071
27769 y Fl(e)2797 1047 y Fw(\(18\).)43 b(Since)31 b(the)g(original)0
27770 1155 y(fourth-generation)d(information)e(is)i(lost,)h(it)f(is)h(then)g
27771 (not)g(p)s(ossible)f(to)h(generate)h(fourth-generation)0
27772 1263 y(particles)i(in)g(the)h(same)f(run.)146 1372 y(The)45
27773 b(curren)m(t)g(implemen)m(tation)c(con)m(tains)j(gauge)g(in)m
27774 (teraction)f(pro)s(duction)g(b)m(y)i(quark{gluon)0 1480
27775 y(fusion)g(\(pro)s(cesses)i(147)d(and)h(148\))g(and)g(con)m(tact)h(in)m
27776 (teraction)e(pro)s(duction)g(b)m(y)i(quark{quark)h(or)0
27777 1588 y(quark{an)m(tiquark)h(scattering)f(\(pro)s(cesses)i(167)e(and)g
27778 (168\))g(.)87 b(The)48 b(couplings)f Fj(f)11 b Fw(,)50
27779 b Fj(f)3286 1552 y Fk(0)3356 1588 y Fw(and)e Fj(f)3609
27780 1603 y Fh(s)3693 1588 y Fw(to)0 1697 y(the)41 b Fo(SU\(2\))p
27781 Fw(,)i Fo(U\(1\))d Fw(and)h Fo(SU\(3\))f Fw(groups)h(are)g(stored)h(in)
27782 e Fq(PARU\(157\))53 b(-)f(PARU\(159\))p Fw(,)45 b(the)c(scale)0
27783 1805 y(parameter)33 b(\003)g(in)f Fq(PARU\(155\))p Fw(;)k(y)m(ou)e(are)
27784 f(also)g(exp)s(ected)i(to)e(c)m(hange)h(the)g(f)2805
27785 1769 y Fk(\003)2877 1805 y Fw(masses)g(in)e(accordance)0
27786 1913 y(with)d(what)h(is)g(desired)g(|)f(see)i([Bau90])f(for)f(details)g
27787 (on)g(con)m(v)m(en)m(tions.)45 b(Deca)m(y)30 b(pro)s(cesses)i(are)e(of)
27788 f(the)0 2022 y(t)m(yp)s(es)37 b(q)312 1985 y Fk(\003)384
27789 2022 y Fn(!)c Fw(qg)q(,)j(q)732 1985 y Fk(\003)805 2022
27790 y Fn(!)c Fw(q)p Fj(\015)5 b Fw(,)37 b(q)1159 1985 y Fk(\003)1231
27791 2022 y Fn(!)c Fw(qZ)1475 1985 y Fl(0)1550 2022 y Fw(or)i(q)1723
27792 1985 y Fk(\003)1795 2022 y Fn(!)d Fw(q)1978 1985 y Fk(0)2002
27793 2022 y Fw(W)2103 1985 y Fk(\006)2163 2022 y Fw(.)52 b(A)35
27794 b(non-trivial)e(angular)h(dep)s(endence)k(is)0 2130 y(included)25
27795 b(in)f(the)i(q)701 2094 y Fk(\003)766 2130 y Fw(deca)m(y)g(for)f(pro)s
27796 (cesses)i(147)e(and)g(148,)h(but)f(has)h(not)f(b)s(een)h(included)f
27797 (for)f(pro)s(cesses)0 2238 y(167)32 b(and)h(168.)0 2486
27798 y Fo(8.5.6)112 b(T)-9 b(ec)m(hnicolor)0 2659 y Fw(ISUB)33
27799 b(=)50 2770 y(149)99 b(gg)28 b Fn(!)g Fj(\021)598 2785
27800 y Fl(tec)n(hni)146 2875 y Fw(The)44 b(tec)m(hnicolor)e(scenario)h
27801 (o\013ers)h(an)e(alternativ)m(e)h(to)f(the)h(ordinary)g(Higgs)f(mec)m
27802 (hanism)g(for)0 2984 y(giving)f(masses)j(to)f(the)h(W)g(and)f(Z.)75
27803 b(The)44 b(tec)m(hnicolor)f(gauge)f(group)h(is)g(an)g(analogue)f(of)h
27804 (QCD,)0 3092 y(with)29 b(a)f(ric)m(h)h(sp)s(ectrum)h(of)e(tec)m
27805 (hnimesons)i(made)f(out)g(of)f(tec)m(hniquarks.)44 b(Three)30
27806 b(of)f(the)g(tec)m(hnipions)0 3200 y(assume)34 b(the)h(role)e(of)g(the)
27807 h(longitudinal)d(comp)s(onen)m(ts)j(of)f(the)i(W)g(and)f(Z)f(b)s
27808 (osons,)i(but)f(man)m(y)g(other)0 3309 y(states)24 b(remain)d(as)i
27809 (separate)g(particles.)40 b(No)22 b(fully)g(realistic)e(mo)s(del)h(has)
27810 j(b)s(een)f(found)g(so)g(far,)h(ho)m(w)m(ev)m(er,)0 3417
27811 y(so)33 b(an)m(y)g(phenomenology)f(has)h(to)f(b)s(e)h(tak)m(en)h(as)e
27812 (indicativ)m(e)g(only)-8 b(.)146 3525 y(In)29 b(section)f(8.4.2)f(it)g
27813 (is)h(discussed)h(ho)m(w)g(pro)s(cesses)h(71{77,)e(in)f(some)h(of)f
27814 (its)h(options,)g(can)g(b)s(e)g(used)0 3634 y(to)k(sim)m(ulate)f(a)i
27815 (scenario)f(with)g(tec)m(hni-)p Fj(\032)h Fw(resonances)h(in)e
27816 (longitudinal)d(gauge)k(b)s(oson)f(scattering.)146 3742
27817 y(Here)25 b(w)m(e)g(presen)m(t)h(another)e(pro)s(cess,)j(that)d(of)g
27818 (the)g(pro)s(duction)f(of)h(a)g(tec)m(hni-)p Fj(\021)t
27819 Fw(.)40 b(This)24 b(particle)f(has)0 3851 y(zero)38 b(spin,)h(is)f(a)f
27820 (singlet)g(under)h(electro)m(w)m(eak)i Fo(SU\(2\))p Fn(\002)p
27821 Fo(U\(1\))p Fw(,)e(but)g(carries)g(o)s(ctet)g(colour)f(c)m(harge.)0
27822 3959 y(It)30 b(is)f(one)h(of)g(the)g(p)s(ossible)f(tec)m(hni-)p
27823 Fj(\031)34 b Fw(particles;)c(the)g(name)g(tec)m(hni-)p
27824 Fj(\021)j Fw(is)d(part)f(of)h(a)f(sub)s(classi\014cation)0
27825 4067 y(not)j(used)i(b)m(y)g(all)c(authors.)146 4176 y(The)d(tec)m(hni-)
27826 p Fj(\021)i Fw(couples)e(to)e(ordinary)g(fermions)g(according)g(to)h
27827 (the)g(fermion)e(squared)j(mass.)42 b(The)0 4284 y(dominan)m(t)c(deca)m
27828 (y)i(mo)s(de)e(is)h(therefore)g(t)p 1547 4213 38 4 v(t,)i(if)d(allo)m
27829 (w)m(ed.)62 b(The)39 b(coupling)f(to)h(a)f(gg)i(state)g(is)e(roughly)0
27830 4392 y(comparable)e(with)h(that)h(to)f(b)p 1147 4313
27831 55 4 v(b.)59 b(Pro)s(duction)37 b(at)g(hadron)h(colliders)d(is)j
27832 (therefore)g(predominan)m(tly)0 4501 y(through)33 b(gg)g(fusion,)f(as)h
27833 (implemen)m(ted)e(in)h(pro)s(cess)i(149.)146 4609 y(The)g(t)m(w)m(o)f
27834 (main)e(free)h(parameters)h(are)f(the)h(tec)m(hni-)p
27835 Fj(\021)j Fw(mass)c(and)h(the)g(deca)m(y)h(constan)m(t)f
27836 Fj(F)3494 4624 y Fh(\031)3541 4609 y Fw(.)44 b(The)0
27837 4717 y(latter)25 b(app)s(ears)i(in)m(v)m(ersely)g(quadratically)e(in)g
27838 (all)f(the)j(partial)d(widths.)42 b(Also)26 b(the)g(total)f(cross)i
27839 (section)0 4826 y(is)39 b(a\013ected,)i(since)f(the)g(cross)g(section)f
27840 (is)g(prop)s(ortional)d(to)j(the)h(gg)g(partial)d(width.)63
27841 b Fj(F)3328 4841 y Fh(\031)3414 4826 y Fw(is)39 b(stored)0
27842 4934 y(in)34 b Fq(PARP\(46\))i Fw(and)e(has)h(the)g(default)e(v)-5
27843 b(alue)34 b(123)g(GeV,)g(whic)m(h)h(is)f(the)g(n)m(um)m(b)s(er)h
27844 (predicted)g(in)f(some)0 5042 y(mo)s(dels.)0 5316 y Fp(8.6)135
27845 b(Main)45 b(Pro)t(cesses)h(b)l(y)e(Mac)l(hine)0 5489
27846 y Fw(In)k(the)h(previous)g(section)f(w)m(e)h(ha)m(v)m(e)g(already)f
27847 (commen)m(ted)g(on)g(whic)m(h)h(pro)s(cesses)h(ha)m(v)m(e)f(limited)0
27848 5597 y(v)-5 b(alidit)m(y)d(,)37 b(or)g(ha)m(v)m(e)i(di\013eren)m(t)e
27849 (meanings)g(\(according)g(to)g(con)m(v)m(en)m(tional)g(terminology\))f
27850 (in)g(di\013eren)m(t)1817 5953 y(136)p eop
27851 %%Page: 137 143
27852 137 142 bop 0 -18 a Fw(con)m(texts.)78 b(Let)43 b(us)h(just)g(rep)s
27853 (eat)f(a)g(few)h(of)f(the)h(main)d(p)s(oin)m(ts)i(to)g(b)s(e)h(remem)m
27854 (b)s(ered)f(for)g(di\013eren)m(t)0 90 y(mac)m(hines.)0
27855 338 y Fo(8.6.1)112 b Fw(e)385 301 y Fl(+)445 338 y Fw(e)488
27856 301 y Fk(\000)585 338 y Fo(collisions)0 510 y Fw(The)46
27857 b(main)c(annihilation)f(pro)s(cess)46 b(is)e(n)m(um)m(b)s(er)h(1,)j(e)
27858 2018 474 y Fl(+)2077 510 y Fw(e)2120 474 y Fk(\000)2228
27859 510 y Fn(!)g Fw(Z)2436 474 y Fl(0)2475 510 y Fw(,)f(where)f(in)e(fact)g
27860 (the)h(full)e Fj(\015)3592 474 y Fk(\003)3632 510 y Fj(=)p
27861 Fw(Z)3741 474 y Fl(0)0 619 y Fw(in)m(terference)25 b(structure)g(is)e
27862 (included.)40 b(This)24 b(pro)s(cess)g(can)g(b)s(e)g(used,)j(with)c
27863 (some)g(con\014dence,)28 b(for)23 b(c.m.)0 727 y(energies)41
27864 b(from)e(ab)s(out)h(4)g(GeV)h(up)m(w)m(ards,)j(i.e.)67
27865 b(at)40 b(DORIS/CESR,)h(PETRA/PEP)-8 b(,)42 b(TRIST)-8
27866 b(AN,)0 835 y(LEP)g(,)29 b(and)g(an)m(y)g(future)g(linear)e(colliders.)
27867 40 b(\(T)-8 b(o)29 b(get)f(b)s(elo)m(w)g(10)g(GeV,)h(y)m(ou)g(ha)m(v)m
27868 (e)h(to)e(c)m(hange)i Fq(PARP\(2\))p Fw(,)0 944 y(ho)m(w)m(ev)m(er.\))
27869 44 b(This)29 b(is)e(the)i(default)e(pro)s(cess)j(obtained)d(when)i
27870 Fq(MSEL=1)p Fw(,)i(i.e.)42 b(when)29 b(y)m(ou)g(do)f(not)g(c)m(hange)0
27871 1052 y(an)m(ything)k(y)m(ourself.)146 1160 y(Pro)s(cess)j(141)e(con)m
27872 (tains)g(a)g(Z)1204 1124 y Fk(0)p Fl(0)1262 1160 y Fw(,)h(including)d
27873 (full)h(in)m(terference)i(with)f(the)h(standard)g Fj(\015)3300
27874 1124 y Fk(\003)3339 1160 y Fj(=)p Fw(Z)3448 1124 y Fl(0)3487
27875 1160 y Fw(.)46 b(With)0 1269 y(the)41 b(v)-5 b(alue)40
27876 b Fq(MSTP\(44\)=4)j Fw(in)c(fact)h(one)h(is)f(bac)m(k)h(at)f(the)h
27877 (standard)g Fj(\015)2612 1233 y Fk(\003)2651 1269 y Fj(=)p
27878 Fw(Z)2760 1233 y Fl(0)2839 1269 y Fw(structure,)j(i.e.)67
27879 b(the)40 b(Z)3721 1233 y Fk(0)p Fl(0)0 1377 y Fw(piece)f(has)h(b)s(een)
27880 f(switc)m(hed)i(o\013.)62 b(Ev)m(en)41 b(so,)g(this)d(pro)s(cess)j(ma)m
27881 (y)d(b)s(e)i(useful,)g(since)g(it)e(can)h(sim)m(ulate)0
27882 1485 y(e.g.)77 b(e)266 1449 y Fl(+)326 1485 y Fw(e)369
27883 1449 y Fk(\000)475 1485 y Fn(!)47 b Fw(H)695 1449 y Fl(0)734
27884 1485 y Fw(A)807 1449 y Fl(0)847 1485 y Fw(.)77 b(Since)44
27885 b(the)g(H)1469 1449 y Fl(0)1552 1485 y Fw(ma)m(y)g(in)f(its)g(turn)h
27886 (deca)m(y)i(to)d(Z)2748 1449 y Fl(0)2787 1485 y Fw(Z)2847
27887 1449 y Fl(0)2886 1485 y Fw(,)k(a)c(deca)m(y)j(c)m(hannel)e(of)0
27888 1594 y(the)34 b(ordinary)e(Z)622 1558 y Fl(0)694 1594
27889 y Fw(to)h(H)887 1558 y Fl(0)926 1594 y Fw(A)999 1558
27890 y Fl(0)1039 1594 y Fw(,)g(although)f(ph)m(ysically)h(correct,)h(w)m
27891 (ould)f(b)s(e)g(tec)m(hnically)f(confusing.)45 b(In)0
27892 1702 y(particular,)30 b(it)h(w)m(ould)h(b)s(e)g(messy)g(to)g(set)g(the)
27893 h(original)28 b(Z)2122 1666 y Fl(0)2193 1702 y Fw(to)j(deca)m(y)i(one)f
27894 (w)m(a)m(y)h(and)f(the)g(subsequen)m(t)0 1810 y(ones)37
27895 b(another.)56 b(So,)37 b(in)f(this)g(sense,)k(the)d(Z)1623
27896 1774 y Fk(0)p Fl(0)1717 1810 y Fw(could)g(b)s(e)f(used)i(as)f(a)f(cop)m
27897 (y)i(of)e(the)h(ordinary)f(Z)3530 1774 y Fl(0)3569 1810
27898 y Fw(,)h(but)0 1919 y(with)32 b(a)g(distinguishable)f(lab)s(el.)146
27899 2027 y(The)39 b(pro)s(cess)h(e)741 1991 y Fl(+)800 2027
27900 y Fw(e)843 1991 y Fk(\000)939 2027 y Fn(!)d Fw(\007)h(do)s(es)g(not)g
27901 (exist)h(as)f(a)g(separate)g(pro)s(cess)i(in)d Fm(Pythia)p
27902 Fw(,)j(but)e(can)g(b)s(e)0 2135 y(sim)m(ulated)31 b(b)m(y)j(using)f
27903 Fq(LUONIA)p Fw(,)i(see)e(section)g(6.2.)146 2244 y(A)m(t)k(LEP)f(2)g
27904 (and)g(ev)m(en)h(higher)e(energy)i(mac)m(hines,)g(the)f(simple)f
27905 Fj(s)p Fw(-c)m(hannel)h(pro)s(cess)h(1)e(will)f(lose)0
27906 2352 y(out)44 b(to)g(other)g(pro)s(cesses,)49 b(suc)m(h)d(as)e(e)1451
27907 2316 y Fl(+)1511 2352 y Fw(e)1554 2316 y Fk(\000)1661
27908 2352 y Fn(!)j Fw(Z)1868 2316 y Fl(0)1907 2352 y Fw(Z)1967
27909 2316 y Fl(0)2050 2352 y Fw(and)d(e)2294 2316 y Fl(+)2354
27910 2352 y Fw(e)2397 2316 y Fk(\000)2503 2352 y Fn(!)k Fw(W)2752
27911 2316 y Fl(+)2811 2352 y Fw(W)2912 2316 y Fk(\000)2972
27912 2352 y Fw(,)f(i.e.)78 b(pro)s(cesses)46 b(22)0 2460 y(and)33
27913 b(25.)43 b(The)33 b(former)f(pro)s(cess)h(in)f(fact)g(includes)h(the)g
27914 (structure)g(e)2518 2424 y Fl(+)2578 2460 y Fw(e)2621
27915 2424 y Fk(\000)2708 2460 y Fn(!)27 b Fw(\()p Fj(\015)2929
27916 2424 y Fk(\003)2968 2460 y Fj(=)p Fw(Z)3077 2424 y Fl(0)3116
27917 2460 y Fw(\)\()p Fj(\015)3248 2424 y Fk(\003)3288 2460
27918 y Fj(=)p Fw(Z)3397 2424 y Fl(0)3435 2460 y Fw(\),)33
27919 b(whic)m(h)0 2569 y(means)40 b(that)f(the)h(cross)g(section)g(is)f
27920 (singular)f(if)g(either)i(of)f(the)h(t)m(w)m(o)g Fj(\015)2679
27921 2533 y Fk(\003)2718 2569 y Fj(=)p Fw(Z)2827 2533 y Fl(0)2906
27922 2569 y Fw(masses)g(is)f(allo)m(w)m(ed)g(to)0 2677 y(v)-5
27923 b(anish.)56 b(A)36 b(mass)h(cut)g(therefore)h(needs)g(to)e(b)s(e)h(in)m
27924 (tro)s(duced,)h(and)f(is)f(actually)g(also)f(used)j(in)e(other)0
27925 2785 y(pro)s(cesses,)f(suc)m(h)f(as)f(e)832 2749 y Fl(+)891
27926 2785 y Fw(e)934 2749 y Fk(\000)1021 2785 y Fn(!)27 b
27927 Fw(W)1249 2749 y Fl(+)1309 2785 y Fw(W)1410 2749 y Fk(\000)1470
27928 2785 y Fw(.)146 2894 y(F)-8 b(or)41 b(practical)e(applications,)j(b)s
27929 (oth)e(with)h(resp)s(ect)i(to)d(cross)i(sections)g(and)f(to)g(ev)m(en)m
27930 (t)i(shap)s(es,)0 3002 y(it)g(is)h(imp)s(erativ)m(e)f(to)g(include)h
27931 (initial-state)d(radiation)g(e\013ects.)80 b(Therefore)46
27932 b Fq(MSTP\(11\)=1)g Fw(is)e(the)0 3111 y(default,)33
27933 b(wherein)g(exp)s(onen)m(tiated)h(electron-inside-electron)e
27934 (distributions)g(are)h(used)h(to)f(giv)m(e)g(the)0 3219
27935 y(momen)m(tum)41 b(of)i(the)g(actually)e(in)m(teracting)h(electron.)74
27936 b(By)43 b(radiativ)m(e)e(corrections)i(to)g(pro)s(cess)h(1,)0
27937 3327 y(suc)m(h)37 b(pro)s(cesses)g(as)e(e)812 3291 y
27938 Fl(+)871 3327 y Fw(e)914 3291 y Fk(\000)1006 3327 y Fn(!)d
27939 Fj(\015)5 b Fw(Z)1254 3291 y Fl(0)1328 3327 y Fw(are)35
27940 b(therefore)g(automatically)d(generated.)52 b(If)35 b(pro)s(cess)i(19)d
27941 (w)m(ere)0 3436 y(to)f(b)s(e)g(used)h(at)f(the)h(same)f(time,)f(this)h
27942 (w)m(ould)g(mean)f(that)h(radiation)e(w)m(ere)k(to)d(b)s(e)i
27943 (double-coun)m(ted.)0 3544 y(In)i(the)h(alternativ)m(e)e
27944 Fq(MSTP\(11\)=0)p Fw(,)40 b(electrons)c(are)g(assumed)h(to)e(dep)s
27945 (osit)h(their)g(full)e(energy)j(in)e(the)0 3652 y(hard)f(pro)s(cess,)h
27946 (i.e.)46 b(initial-state)30 b(QED)j(radiation)e(is)i(not)h(included.)46
27947 b(This)34 b(option)e(is)h(v)m(ery)i(useful,)0 3761 y(since)e(it)f
27948 (often)g(corresp)s(onds)i(to)e(the)h(`ideal')e(ev)m(en)m(ts)k(that)e
27949 (one)g(w)m(an)m(ts)h(to)e(correct)h(bac)m(k)h(to.)146
27950 3869 y(Resolv)m(ed)f(electrons)g(also)e(means)h(that)g(one)g(ma)m(y)g
27951 (ha)m(v)m(e)h(in)m(teractions)e(b)s(et)m(w)m(een)j(photons.)44
27952 b(This)0 3977 y(op)s(ens)27 b(up)h(the)f(whole)g(\014eld)f(of)h
27953 Fj(\015)5 b(\015)31 b Fw(pro)s(cesses,)g(whic)m(h)c(is)f(describ)s(ed)i
27954 (in)e(section)h(8.3.2.)41 b(In)27 b(particular,)0 4086
27955 y(with)h Fq(MSTP\(12\)=1)k Fw(photons)d(ma)m(y)f(b)s(e)h(resolv)m(ed,)i
27956 (i.e.)41 b(photons)29 b(need)h(not)f(only)f(in)m(teract)g(p)s(oin)m
27957 (t-lik)m(e,)0 4194 y(but)i(can)h(also)e(in)m(teract)h(lik)m(e)g(a)f
27958 (hadron)i(with)e(a)h(partonic)g(substructure.)45 b(The)31
27959 b(whole)f(menagerie)f(of)0 4302 y(hadron{hadron)h(collider)f(pro)s
27960 (cesses)k(can)d(then)i(b)s(e)f(accessed.)45 b(Ho)m(w)m(ev)m(er,)33
27961 b(it)d(is)g(not)g(y)m(et)i(p)s(ossible)e(to)0 4411 y(include)25
27962 b(the)h(lo)m(w-)p Fj(p)716 4426 y Fk(?)800 4411 y Fw(pro)s(cesses)i
27963 (with)d(a)g(v)-5 b(ariable)24 b(photon)i(energy)g(sp)s(ectrum.)42
27964 b(That)26 b(is,)h(to)e(generate)0 4519 y(the)33 b(`total')e
27965 Fj(\015)5 b(\015)38 b Fw(sp)s(ectrum,)33 b(the)g(program)e(also)h(has)h
27966 (to)f(b)s(e)h(initialized)28 b(for)33 b(a)f Fj(\015)5
27967 b(\015)37 b Fw(collider.)146 4627 y(The)29 b(thrust)f(of)f(the)i
27968 Fm(Pythia/Jetset)d Fw(programs)h(is)g(to)m(w)m(ards)i(pro)s(cesses)h
27969 (that)d(in)m(v)m(olv)m(e)h(hadron)0 4736 y(pro)s(duction,)50
27970 b(one)e(w)m(a)m(y)g(or)f(another.)88 b(Because)49 b(of)d
27971 (generalizations)g(from)g(other)h(areas,)k(also)c(a)0
27972 4844 y(few)40 b(completely)e(non-hadronic)g(pro)s(cesses)k(are)d(a)m(v)
27973 -5 b(ailable.)61 b(These)41 b(include)e(Bhabha)h(scattering,)0
27974 4952 y(e)43 4916 y Fl(+)102 4952 y Fw(e)145 4916 y Fk(\000)255
27975 4952 y Fn(!)50 b Fw(e)448 4916 y Fl(+)508 4952 y Fw(e)551
27976 4916 y Fk(\000)656 4952 y Fw(in)45 b(pro)s(cess)i(10,)i(and)d(photon)g
27977 (pair)f(pro)s(duction,)k(e)2654 4916 y Fl(+)2714 4952
27978 y Fw(e)2757 4916 y Fk(\000)2866 4952 y Fn(!)i Fj(\015)5
27979 b(\015)50 b Fw(in)c(pro)s(cess)h(18.)0 5061 y(Ho)m(w)m(ev)m(er,)33
27980 b(note)d(that)g(the)g(precision)f(that)h(could)g(b)s(e)g(exp)s(ected)h
27981 (in)f(a)f Fm(Pythia)h Fw(sim)m(ulation)d(of)j(those)0
27982 5169 y(pro)s(cesses)g(is)e(certainly)f(far)h(less)g(than)g(that)g(of)g
27983 (dedicated)g(programs.)41 b(F)-8 b(or)27 b(one)i(thing,)f(electro)m(w)m
27984 (eak)0 5277 y(lo)s(op)21 b(e\013ects)j(are)f(not)g(included.)40
27985 b(F)-8 b(or)22 b(another,)j(no)m(where)f(is)e(the)h(electron)g(mass)g
27986 (tak)m(en)h(in)m(to)e(accoun)m(t,)0 5386 y(whic)m(h)33
27987 b(means)g(that)f(explicit)f(cut-o\013s)i(at)f(some)h(minim)m(um)c
27988 Fj(p)2327 5401 y Fk(?)2418 5386 y Fw(are)k(alw)m(a)m(ys)g(necessary)-8
27989 b(.)1817 5953 y(137)p eop
27990 %%Page: 138 144
27991 138 143 bop 0 -18 a Fo(8.6.2)112 b(Lepton{hadron)40 b(collisions)0
27992 154 y Fw(The)34 b(issue)f(of)f(applications)e(to)i(ep)i(colliders)c
27993 (has)j(b)s(een)h(co)m(v)m(ered)g(in)e(a)g(recen)m(t)i(rep)s(ort)f
27994 ([Sj\177)-49 b(o92b)o(].)146 263 y(The)29 b(default)f(pro)s(cess)h(for)
27995 f(a)g(lepton{hadron)f(collider)f(is)i(deep)h(inelastic)d(scattering,)j
27996 Fj(`)p Fw(q)f Fn(!)f Fj(`)3654 226 y Fk(0)3678 263 y
27997 Fw(q)3729 226 y Fk(0)3752 263 y Fw(,)0 371 y(of)36 b(pro)s(cess)i(10.)
27998 54 b(This)37 b(includes)f Fj(\015)1299 335 y Fl(0)1338
27999 371 y Fj(=)p Fw(Z)1447 335 y Fl(0)1486 371 y Fj(=)p Fw(W)1636
28000 335 y Fk(\006)1732 371 y Fw(exc)m(hange,)j(with)d(full)f(in)m
28001 (terference,)j(as)f(describ)s(ed)g(in)0 479 y(section)i(8.3.3.)61
28002 b(Radiation)37 b(o\013)h(the)h(incoming)e(lepton)h(leg)g(is)g(included)
28003 h(b)m(y)i Fq(MSTP\(11\)=1)g Fw(and)e(o\013)0 588 y(the)45
28004 b(outgoing)e(one)h(b)m(y)j Fq(MSTJ\(41\)=2)g Fw(\(b)s(oth)d(are)h
28005 (default\).)78 b(Note)45 b(that)f(b)s(oth)g(QED)g(and)h(QCD)0
28006 696 y(radiation)d(\(o\013)i(the)h(e)g(and)g(the)g(q)g(legs,)i(resp)s
28007 (ectiv)m(ely\))f(are)e(allo)m(w)m(ed)g(to)g(mo)s(dify)f(the)i
28008 Fj(x)g Fw(and)g Fj(Q)3740 660 y Fl(2)0 804 y Fw(v)-5
28009 b(alues)38 b(of)f(the)i(pro)s(cess,)h(while)d(the)h(con)m(v)m(en)m
28010 (tional)g(approac)m(h)h(in)e(the)h(literature)f(is)g(to)h(allo)m(w)e
28011 (only)0 913 y(the)e(former.)44 b(Therefore)34 b(an)f(option)f(\(on)h(b)
28012 m(y)h(default\))e(has)h(b)s(een)h(added)g(to)f(preserv)m(e)i(these)g(v)
28013 -5 b(alues)0 1021 y(b)m(y)33 b(a)g(p)s(ost-facto)f(rescaling,)f
28014 Fq(MSTP\(23\)=1)p Fw(.)146 1129 y(In)i(terms)g(of)f(cross)i(sections,)g
28015 (a)e(more)g(imp)s(ortan)m(t)f(set)j(of)e(pro)s(cesses)j(are)d(related)h
28016 (to)f(photopro-)0 1238 y(duction,)g(either)g(with)f(a)h(p)s(oin)m
28017 (t-lik)m(e)e(or)i(with)f(a)h(resolv)m(ed)h(photon,)f(see)h(section)f
28018 (8.3.2.)43 b(A)32 b(complete)0 1346 y(description)c(of)f(photopro)s
28019 (duction)g(is)h(a)m(v)-5 b(ailable)25 b([Sc)m(h93)q(,)j(Sc)m(h93a],)h
28020 (but)g(needs)g(three)g(separate)g(runs)0 1454 y(for)37
28021 b(the)h(three)g(distinct)e(b)s(eha)m(viours)i(of)f(a)g(photon:)53
28022 b(p)s(oin)m(t-lik)m(e,)37 b(VMD)g(resolv)m(ed)i(and)e(anomalous)0
28023 1563 y(resolv)m(ed.)0 1810 y Fo(8.6.3)112 b(Hadron{hadron)39
28024 b(collisions)0 1983 y Fw(The)30 b(default)f(is)g(to)g(include)g(QCD)g
28025 (jet)h(pro)s(duction)f(b)m(y)h(2)d Fn(!)h Fw(2)h(pro)s(cesses,)j(see)f
28026 (section)e(8.2.1.)42 b(Since)0 2091 y(the)30 b(di\013eren)m(tial)f
28027 (cross)h(section)h(is)e(div)m(ergen)m(t)i(for)e Fj(p)1924
28028 2106 y Fk(?)2011 2091 y Fn(!)e Fw(0,)k(a)e(lo)m(w)m(er)h(cut-o\013)g
28029 (has)g(to)g(b)s(e)g(in)m(tro)s(duced.)0 2200 y(Normally)43
28030 b(that)i(cut-o\013)g(is)g(giv)m(en)g(b)m(y)h(the)g(user-set)h
28031 Fj(p)2112 2215 y Fk(?)p Fl(min)2334 2200 y Fw(v)-5 b(alue)44
28032 b(in)h Fq(CKIN\(3\))p Fw(.)84 b(If)52 b Fq(CKIN\(3\))47
28033 b Fw(is)0 2308 y(c)m(hosen)38 b(smaller)d(than)h(a)h(giv)m(en)f(v)-5
28034 b(alue)36 b(of)h(the)g(order)f(of)g(2)h(GeV)f(\(see)i
28035 Fq(PARP\(81\))h Fw(and)d Fq(PARP\(82\))p Fw(\),)0 2416
28036 y(then)30 b(lo)m(w-)p Fj(p)445 2431 y Fk(?)533 2416 y
28037 Fw(ev)m(en)m(ts)i(are)e(also)f(switc)m(hed)i(on.)43 b(The)30
28038 b(jet)g(cross)h(section)f(is)f(regularized)g(at)h(lo)m(w)f
28039 Fj(p)3576 2431 y Fk(?)3635 2416 y Fw(,)h(so)0 2525 y(as)25
28040 b(to)g(obtain)f(a)g(smo)s(oth)g(joining)f(b)s(et)m(w)m(een)k(the)e
28041 (high-)p Fj(p)2041 2540 y Fk(?)2124 2525 y Fw(and)g(the)h(lo)m(w-)p
28042 Fj(p)2693 2540 y Fk(?)2776 2525 y Fw(descriptions,)g(see)g(further)0
28043 2633 y(section)36 b(11.2.)52 b(As)36 b Fq(CKIN\(3\))h
28044 Fw(is)e(v)-5 b(aried,)36 b(the)g(jump)f(from)f(one)i(scenario)g(to)f
28045 (another)h(is)f(abrupt,)h(in)0 2741 y(terms)i(of)f(cross)i(section:)55
28046 b(in)37 b(a)g(high-energy)h(hadron)g(collider,)f(the)i(cross)g(section)
28047 f(for)f(jets)i(do)m(wn)0 2850 y(to)34 b(a)g Fj(p)253
28048 2865 y Fk(?)p Fl(min)464 2850 y Fw(scale)g(of)g(a)g(few)h(GeV)f(can)g
28049 (w)m(ell)g(reac)m(h)h(v)-5 b(alues)34 b(m)m(uc)m(h)h(larger)e(than)i
28050 (the)f(total)f(inelastic,)0 2958 y(non-di\013ractiv)m(e)40
28051 b(cross)i(section.)69 b(Clearly)40 b(this)h(is)f(nonsense;)47
28052 b(therefore)42 b(either)f Fj(p)3144 2973 y Fk(?)p Fl(min)3361
28053 2958 y Fw(should)g(b)s(e)0 3067 y(pic)m(k)m(ed)d(so)f(large)e(that)i
28054 (the)g(jet)g(cross)g(section)g(b)s(e)g(only)f(a)h(fraction)e(of)i(the)g
28055 (total)e(one,)j(or)e(else)h(one)0 3175 y(should)32 b(select)i
28056 Fj(p)625 3190 y Fk(?)p Fl(min)829 3175 y Fw(=)27 b(0)33
28057 b(and)f(mak)m(e)h(use)h(of)e(the)h(full)d(description.)146
28058 3283 y(If)38 b(one)h(switc)m(hes)g(to)f Fq(MSEL=2)p Fw(,)j(also)c
28059 (elastic)h(and)g(di\013ractiv)m(e)f(pro)s(cesses)j(are)e(switc)m(hed)i
28060 (on,)f(see)0 3392 y(section)f(8.2.4.)58 b(Ho)m(w)m(ev)m(er,)41
28061 b(the)d(sim)m(ulation)d(of)i(these)i(pro)s(cesses)h(is)d(fairly)f
28062 (primitiv)m(e,)h(and)h(should)0 3500 y(not)32 b(b)s(e)g(used)h(for)e
28063 (dedicated)h(studies,)h(but)f(only)f(to)h(estimate)e(ho)m(w)j(m)m(uc)m
28064 (h)f(they)h(ma)m(y)f(con)m(taminate)0 3608 y(the)h(class)g(of)f
28065 (non-di\013ractiv)m(e)f(minim)m(um)f(bias)i(ev)m(en)m(ts.)146
28066 3717 y(Most)38 b(pro)s(cesses)h(can)f(b)s(e)g(sim)m(ulated)e(in)g
28067 (hadron)h(colliders,)g(since)h(the)g(bulk)f(of)44 b Fm(Pythia)37
28068 b Fw(pro-)0 3825 y(cesses)g(can)f(b)s(e)f(initiated)e(b)m(y)j(quarks)g
28069 (or)f(gluons.)50 b(Ho)m(w)m(ev)m(er,)38 b(there)e(are)f(limits.)48
28070 b(Curren)m(tly)36 b(w)m(e)g(in-)0 3933 y(clude)30 b(no)h(photon)f(or)g
28071 (lepton)g(parton)g(distributions,)f(whic)m(h)i(means)f(that)g(a)g(pro)s
28072 (cess)i(lik)m(e)e Fj(\015)5 b Fw(q)28 b Fn(!)f Fj(\015)5
28073 b Fw(q)0 4042 y(is)38 b(not)f(accessible.)61 b(F)-8 b(urther,)40
28074 b(the)e(p)s(ossibilit)m(y)e(of)i(ha)m(ving)f(Z)2304 4005
28075 y Fl(0)2381 4042 y Fw(and)i(W)2678 4005 y Fk(\006)2775
28076 4042 y Fw(in)m(teracting)e(in)g(pro)s(cesses)0 4150 y(suc)m(h)d(as)f
28077 (71{77)f(has)h(b)s(een)h(hardwired)f(pro)s(cess)h(b)m(y)g(pro)s(cess,)g
28078 (and)f(do)s(es)h(not)f(mean)f(that)h(there)g(is)g(a)0
28079 4258 y(generic)g(treatmen)m(t)f(of)g(Z)954 4222 y Fl(0)1026
28080 4258 y Fw(and)g(W)1316 4222 y Fk(\006)1409 4258 y Fw(distributions.)146
28081 4367 y(The)f(emphasis)g(in)e(the)i(hadron{hadron)f(pro)s(cess)h
28082 (description)f(is)g(on)g(high)f(energy)j(hadron)e(col-)0
28083 4475 y(liders.)41 b(The)28 b(program)e(can)h(b)s(e)h(used)g(also)e(at)h
28084 (\014xed-target)h(energies,)h(but)e(the)h(m)m(ultiple)d(in)m(teraction)
28085 0 4583 y(mo)s(del)g(for)i(underlying)f(ev)m(en)m(ts)j(then)f(breaks)g
28086 (do)m(wn)g(and)f(should)f(not)h(b)s(e)g(used.)43 b(The)28
28087 b(limit)23 b(of)k(appli-)0 4692 y(cabilit)m(y)f(is)h(somewhere)i(at)e
28088 (around)h(100)f(GeV.)h(Belo)m(w)g(that,)g(one)g(is)f(also)g
28089 (recommended)h(to)g(c)m(hange)0 4800 y(to)37 b Fq(MSTP\(92\)=3)p
28090 Fw(,)42 b(to)37 b(obtain)f(a)i(reasonable)f(amoun)m(t)g(of)g(b)s(eam)g
28091 (remnan)m(t)g(particle)f(pro)s(duction)h(in)0 4908 y(the)c(absence)h
28092 (of)e(m)m(ultiple)e(in)m(teractions.)1817 5953 y(138)p
28093 eop
28094 %%Page: 139 145
28095 139 144 bop 0 -18 a Ft(9)161 b(The)53 b(PYTHIA)i(Program)e(Elemen)l(ts)
28096 0 189 y Fw(In)38 b(the)f(previous)h(t)m(w)m(o)g(sections,)h(the)e(ph)m
28097 (ysics)i(pro)s(cesses)g(and)e(the)h(ev)m(en)m(t-generation)g(sc)m
28098 (hemes)h(of)0 297 y Fm(Pythia)23 b Fw(ha)m(v)m(e)i(b)s(een)f(presen)m
28099 (ted.)42 b(Here,)26 b(\014nally)-8 b(,)24 b(the)g(ev)m(en)m
28100 (t-generation)g(routines)f(and)g(the)h(common)0 405 y(blo)s(c)m(k)i(v)
28101 -5 b(ariables)26 b(are)g(describ)s(ed.)42 b(Ho)m(w)m(ev)m(er,)30
28102 b(routines)d(and)f(v)-5 b(ariables)26 b(related)g(to)g(initial-)c(and)
28103 27 b(\014nal-)0 514 y(state)38 b(sho)m(w)m(ers,)j(b)s(eam)c(remnan)m
28104 (ts)i(and)e(underlying)h(ev)m(en)m(ts,)j(and)d(fragmen)m(tation)e(and)h
28105 (deca)m(y)i(are)0 622 y(relegated)i(to)g(subsequen)m(t)j(sections)e(on)
28106 g(these)g(topics.)70 b(F)-8 b(urther,)43 b(for)e(historical)e(reasons,)
28107 44 b(man)m(y)0 730 y(adjustable)34 b(coupling)e(constan)m(ts)k(are)e
28108 (found)g(in)f(the)i Fq(LUDAT1)g Fw(common)e(blo)s(c)m(k)h(in)f
28109 Fm(Jetset)p Fw(,)g(rather)0 839 y(than)27 b(somewhere)g(in)f(the)h
28110 Fm(Pythia)f Fw(common)g(blo)s(c)m(ks;)j(these)e(parameters)g(are)f
28111 (describ)s(ed)i(in)d(section)0 947 y(14.5.)146 1055 y(In)38
28112 b(the)h(presen)m(tation)f(in)f(this)g(section,)j(information)34
28113 b(less)39 b(imp)s(ortan)m(t)d(for)h(an)h(e\016cien)m(t)g(use)h(of)0
28114 1164 y Fm(Pythia)23 b Fw(has)g(b)s(een)h(put)f(closer)g(to)f(the)i
28115 (end.)41 b(W)-8 b(e)23 b(therefore)g(b)s(egin)f(with)h(the)g(main)e(ev)
28116 m(en)m(t)k(generation)0 1272 y(routines,)33 b(and)f(follo)m(w)f(this)h
28117 (b)m(y)i(the)f(main)e(common)g(blo)s(c)m(k)h(v)-5 b(ariables.)146
28118 1380 y(It)43 b(is)g(useful)g(to)f(distinguish)g(three)h(phases)i(in)d
28119 (a)g(normal)f(run)i(with)g Fm(Pythia)p Fw(.)74 b(In)44
28120 b(the)f(\014rst)0 1489 y(phase,)36 b(the)f(initialization,)30
28121 b(the)35 b(general)f(c)m(haracter)h(of)f(the)h(run)g(is)f(determined.)
28122 50 b(A)m(t)34 b(a)h(minim)m(um,)0 1597 y(this)45 b(requires)h(the)g(sp)
28123 s(eci\014cation)f(of)f(the)i(incoming)d(hadrons)j(and)f(the)h(energies)
28124 g(in)m(v)m(olv)m(ed.)82 b(A)m(t)0 1705 y(the)40 b(discretion)f(of)h
28125 (the)g(user,)i(it)d(is)g(also)g(p)s(ossible)g(to)h(select)g(sp)s
28126 (eci\014c)g(\014nal)f(states,)k(and)d(to)f(mak)m(e)0
28127 1814 y(a)f(n)m(um)m(b)s(er)h(of)f(decisions)g(ab)s(out)g(details)f(in)h
28128 (the)h(subsequen)m(t)i(generation.)60 b(This)39 b(step)g(is)f
28129 (\014nished)0 1922 y(b)m(y)i(a)e Fq(PYINIT)j Fw(call,)d(at)h(whic)m(h)g
28130 (time)f(sev)m(eral)h(v)-5 b(ariables)38 b(are)h(initialized)c(in)j
28131 (accordance)i(with)e(the)0 2030 y(v)-5 b(alues)36 b(set.)55
28132 b(The)37 b(second)g(phase)g(consists)g(of)e(the)i(main)d(lo)s(op)h(o)m
28133 (v)m(er)i(the)f(n)m(um)m(b)s(er)h(of)e(ev)m(en)m(ts,)40
28134 b(with)0 2139 y(eac)m(h)45 b(new)g(ev)m(en)m(t)g(b)s(eing)f(generated)g
28135 (b)m(y)h(a)f Fq(PYEVNT)h Fw(call.)76 b(This)44 b(ev)m(en)m(t)i(ma)m(y)d
28136 (then)i(b)s(e)f(analysed,)0 2247 y(using)33 b(information)c(stored)34
28137 b(in)e(some)g(common)g(blo)s(c)m(ks,)h(and)g(the)g(statistics)g(accum)m
28138 (ulated.)44 b(In)33 b(the)0 2355 y(\014nal)f(phase,)i(results)f(are)g
28139 (presen)m(ted.)47 b(This)33 b(ma)m(y)g(often)f(b)s(e)i(done)f(without)f
28140 (the)i(in)m(v)m(o)s(cation)d(of)i(an)m(y)0 2464 y Fm(Pythia)41
28141 b Fw(routines.)69 b(F)-8 b(rom)39 b Fq(PYSTAT)p Fw(,)k(ho)m(w)m(ev)m
28142 (er,)i(it)40 b(is)h(p)s(ossible)f(to)h(obtain)f(a)g(useful)h(list)f(of)
28143 h(cross)0 2572 y(sections)33 b(for)f(the)h(di\013eren)m(t)g(subpro)s
28144 (cesses.)0 2846 y Fp(9.1)135 b(The)45 b(Main)g(Subroutines)0
28145 3019 y Fw(There)32 b(are)f(t)m(w)m(o)g(routines)f(that)h(y)m(ou)g(m)m
28146 (ust)g(kno)m(w:)44 b Fq(PYINIT)32 b Fw(for)e(initialization)25
28147 b(and)31 b Fq(PYEVNT)h Fw(for)e(the)0 3127 y(subsequen)m(t)38
28148 b(generation)d(of)f(eac)m(h)j(new)f(ev)m(en)m(t.)53 b(In)35
28149 b(addition,)f(the)i(cross)g(section)f(and)h(other)f(kinds)0
28150 3235 y(of)47 b(information)d(a)m(v)-5 b(ailable)44 b(with)j
28151 Fq(PYSTAT)i Fw(are)e(frequen)m(tly)h(useful.)87 b(The)48
28152 b(other)g(three)g(routines)0 3344 y(describ)s(ed)33 b(here,)h
28153 Fq(PYFRAM)p Fw(,)g Fq(PYKCUT)p Fw(,)g(and)f Fq(PYEVWT)p
28154 Fw(,)h(are)f(of)f(more)g(sp)s(ecialized)f(in)m(terest.)p
28155 0 3488 1902 9 v 0 3713 9 225 v 79 3628 a Fq(CALL)52 b
28156 (PYINIT\(FRAME,BEAM,TARGE)q(T,WI)q(N\))p 1893 3713 V
28157 0 3721 1902 9 v 0 3853 a Fo(Purp)s(ose:)c Fw(to)32 b(initialize)d(the)k
28158 (generation)f(pro)s(cedure.)0 3961 y Fq(FRAME)53 b(:)113
28159 b Fw(a)35 b(c)m(haracter)h(v)-5 b(ariable)33 b(used)k(to)d(sp)s(ecify)i
28160 (the)f(frame)f(of)h(the)g(exp)s(erimen)m(t.)52 b(Upp)s(er-case)472
28161 4069 y(and)33 b(lo)m(w)m(er-case)g(letters)g(ma)m(y)f(b)s(e)h(freely)g
28162 (mixed.)236 4178 y Fq(=)52 b('CMS')g(:)c Fw(colliding)29
28163 b(b)s(eam)j(exp)s(erimen)m(t)h(in)f(c.m.)43 b(frame,)32
28164 b(with)h(b)s(eam)f(momen)m(tum)f(in)h(+)p Fj(z)709 4286
28165 y Fw(direction)f(and)i(target)f(momen)m(tum)f(in)h Fn(\000)p
28166 Fj(z)38 b Fw(direction.)236 4394 y Fq(=)52 b('FIXT')h(:)47
28167 b Fw(\014xed-target)27 b(exp)s(erimen)m(t,)h(with)e(b)s(eam)g(particle)
28168 f(momen)m(tum)g(p)s(oin)m(ting)g(in)h(+)p Fj(z)709 4503
28169 y Fw(direction.)236 4611 y Fq(=)52 b('USER')h(:)47 b
28170 Fw(full)39 b(freedom)g(to)h(sp)s(ecify)h(frame)e(b)m(y)i(giving)e(b)s
28171 (eam)h(momen)m(tum)e(in)i Fq(P\(1,1\))p Fw(,)709 4719
28172 y Fq(P\(1,2\))59 b Fw(and)f Fq(P\(1,3\))h Fw(and)f(target)g(momen)m
28173 (tum)e(in)h Fq(P\(2,1\))p Fw(,)66 b Fq(P\(2,2\))59 b
28174 Fw(and)709 4828 y Fq(P\(2,3\))48 b Fw(in)d(common)g(blo)s(c)m(k)h
28175 Fq(LUJETS)p Fw(.)i(P)m(articles)e(are)g(assumed)i(on)e(the)h(mass)709
28176 4936 y(shell,)31 b(and)i(energies)g(are)g(calculated)e(accordingly)-8
28177 b(.)236 5044 y Fq(=)52 b('FOUR')h(:)47 b Fw(as)h Fq('USER')p
28178 Fw(,)h(except)g(also)d(energies)i(should)f(b)s(e)h(sp)s(eci\014ed,)k
28179 (in)46 b Fq(P\(1,4\))j Fw(and)709 5153 y Fq(P\(2,4\))p
28180 Fw(,)34 b(resp)s(ectiv)m(ely)-8 b(.)46 b(The)34 b(particles)e(need)i
28181 (not)e(b)s(e)i(on)e(the)i(mass)f(shell;)f(e\013ec-)709
28182 5261 y(tiv)m(e)j(masses)g(are)g(calculated)f(from)g(energy)i(and)f
28183 (momen)m(tum.)49 b(\(But)35 b(note)g(that)709 5370 y(n)m(umerical)23
28184 b(precision)h(ma)m(y)h(su\013er;)j(if)c(y)m(ou)i(kno)m(w)g(the)f
28185 (masses)h(the)f(option)f Fq('FIVE')709 5478 y Fw(b)s(elo)m(w)32
28186 b(is)g(preferrable.\))236 5586 y Fq(=)52 b('FIVE')h(:)47
28187 b Fw(as)32 b Fq('USER')p Fw(,)h(except)f(also)f(energies)h(and)f
28188 (masses)h(should)f(b)s(e)h(sp)s(eci\014ed,)g(i.e)f(the)1817
28189 5953 y(139)p eop
28190 %%Page: 140 146
28191 140 145 bop 709 -18 a Fw(full)28 b(momen)m(tum)h(information)e(in)i
28192 Fq(P\(1,1\))53 b(-)f(P\(1,5\))31 b Fw(and)g Fq(P\(2,1\))52
28193 b(-)g(P\(2,5\))709 90 y Fw(should)32 b(b)s(e)g(giv)m(en)g(for)g(b)s
28194 (eam)f(and)h(target,)g(resp)s(ectiv)m(ely)-8 b(.)44 b(P)m(articles)32
28195 b(need)h(not)f(b)s(e)709 207 y(on)38 b(the)i(mass)f(shell.)61
28196 b(Space-lik)m(e)39 b(virtualities)d(should)j(b)s(e)g(stored)h(as)f
28197 Fn(\000)3467 126 y(p)p 3550 126 203 4 v 81 x(\000)p Fj(m)3712
28198 178 y Fl(2)3752 207 y Fw(.)709 315 y(F)-8 b(our-momen)m(tum)30
28199 b(and)i(mass)h(information)c(m)m(ust)k(matc)m(h.)236
28200 424 y Fq(=)52 b('NONE')h(:)47 b Fw(there)38 b(will)d(b)s(e)i(no)g
28201 (initialization)32 b(of)37 b(an)m(y)h(pro)s(cesses,)i(but)e(only)e(of)h
28202 (resonance)709 532 y(widths)44 b(and)h(a)f(few)h(other)f(pro)s
28203 (cess-indep)s(enden)m(t)i(v)-5 b(ariables.)78 b(Subsequen)m(t)47
28204 b(to)709 640 y(suc)m(h)36 b(a)f(call,)g Fq(PYEVNT)i Fw(cannot)e(b)s(e)h
28205 (used)g(to)f(generate)h(ev)m(en)m(ts,)i(so)e(this)f(option)f(is)709
28206 749 y(mainly)i(in)m(tended)k(for)e(those)i(who)f(will)e(w)m(an)m(t)j
28207 (to)e(construct)i(their)f(o)m(wn)g(ev)m(en)m(ts)709 857
28208 y(afterw)m(ards,)28 b(but)f(still)d(w)m(an)m(t)j(to)g(ha)m(v)m(e)g
28209 (access)i(to)d(some)g(of)g(the)h Fm(Pythia)f Fw(facilities.)709
28210 965 y(In)33 b(this)f(option,)f(the)i Fq(BEAM)p Fw(,)h
28211 Fq(TARGET)g Fw(and)f Fq(WIN)g Fw(argumen)m(ts)g(are)f(dumm)m(y)-8
28212 b(.)0 1074 y Fq(BEAM,)53 b(TARGET)f(:)c Fw(c)m(haracter)c(v)-5
28213 b(ariables)41 b(to)i(sp)s(ecify)g(b)s(eam)f(and)h(target)f(particles.)
28214 74 b(Upp)s(er-case)472 1182 y(and)38 b(lo)m(w)m(er-case)g(letters)f(ma)
28215 m(y)h(b)s(e)f(freely)g(mixed.)58 b(An)37 b(an)m(tiparticle)f(ma)m(y)h
28216 (b)s(e)h(denoted)472 1290 y(either)e(b)m(y)h(`)p Fn(\030)p
28217 Fw(')g(or)f(`bar')g(at)g(the)h(end)f(of)g(the)h(name.)54
28218 b(It)36 b(is)f(also)h(p)s(ossible)f(to)h(lea)m(v)m(e)h(out)472
28219 1399 y(the)i(underscore)g(\(`)p 1210 1399 30 4 v 36 w('\))e(directly)h
28220 (after)f(`n)m(u')i(in)e(neutrino)h(names,)h(and)f(the)g(c)m(harge)h
28221 (for)472 1507 y(proton)33 b(and)f(neutron.)236 1615 y
28222 Fq(=)52 b('e-')g(:)63 b Fw(electron.)236 1724 y Fq(=)52
28223 b('e+')g(:)63 b Fw(p)s(ositron.)236 1832 y Fq(=)52 b('nu)p
28224 498 1832 31 4 v 37 w(e')g(:)c Fj(\027)830 1847 y Fl(e)865
28225 1832 y Fw(.)236 1941 y Fq(=)k('nu)p 498 1941 V 37 w(e)p
28226 Fn(\030)p Fq(')h(:)p 859 1888 55 4 v 47 w Fj(\027)914
28227 1956 y Fl(e)949 1941 y Fw(.)236 2049 y Fq(=)f('mu-')g(:)c
28228 Fj(\026)804 2013 y Fk(\000)863 2049 y Fw(.)236 2157 y
28229 Fq(=)k('mu+')g(:)c Fj(\026)804 2121 y Fl(+)863 2157 y
28230 Fw(.)236 2266 y Fq(=)k('nu)p 498 2266 31 4 v 37 w(mu')h(:)47
28231 b Fj(\027)881 2281 y Fh(\026)928 2266 y Fw(.)236 2374
28232 y Fq(=)52 b('nu)p 498 2374 V 37 w(mu)p Fn(\030)p Fq(')h(:)p
28233 911 2321 55 4 v 48 w Fj(\027)965 2389 y Fh(\026)1012
28234 2374 y Fw(.)236 2482 y Fq(=)f('tau-')h(:)47 b Fj(\034)849
28235 2446 y Fk(\000)909 2482 y Fw(.)236 2591 y Fq(=)52 b('tau+')h(:)47
28236 b Fj(\034)849 2554 y Fl(+)909 2591 y Fw(.)236 2699 y
28237 Fq(=)52 b('nu)p 498 2699 31 4 v 37 w(tau')h(:)47 b Fj(\027)932
28238 2714 y Fh(\034)976 2699 y Fw(.)236 2807 y Fq(=)52 b('nu)p
28239 498 2807 V 37 w(tau)p Fn(\030)p Fq(')h(:)p 962 2754 55
28240 4 v 48 w Fj(\027)1016 2822 y Fh(\034)1059 2807 y Fw(.)236
28241 2916 y Fq(=)f('gamma')h(:)47 b Fw(photon)33 b(\(real,)f(i.e.)43
28242 b(on)32 b(the)h(mass)g(shell\).)236 3024 y Fq(=)52 b('pi0')g(:)c
28243 Fj(\031)804 2988 y Fl(0)843 3024 y Fw(.)236 3132 y Fq(=)k('pi+')g(:)c
28244 Fj(\031)804 3096 y Fl(+)863 3132 y Fw(.)236 3241 y Fq(=)k('pi-')g(:)c
28245 Fj(\031)804 3204 y Fk(\000)863 3241 y Fw(.)236 3349 y
28246 Fq(=)k('n0')g(:)63 b Fw(neutron.)236 3457 y Fq(=)52 b('n)p
28247 Fn(\030)p Fq(0')h(:)47 b Fw(an)m(tineutron.)236 3566
28248 y Fq(=)52 b('p+')g(:)63 b Fw(proton.)236 3674 y Fq(=)52
28249 b('p)p Fn(\030)p Fq(-')h(:)47 b Fw(an)m(tiproton.)236
28250 3782 y Fq(=)52 b('Lambda0')h(:)48 b Fw(\003)32 b(bary)m(on.)236
28251 3891 y Fq(=)52 b('Sigma-')h(:)48 b Fw(\006)969 3855 y
28252 Fk(\000)1061 3891 y Fw(bary)m(on.)236 3999 y Fq(=)k('Sigma0')h(:)48
28253 b Fw(\006)969 3963 y Fl(0)1041 3999 y Fw(bary)m(on.)236
28254 4107 y Fq(=)k('Sigma+')h(:)48 b Fw(\006)969 4071 y Fl(+)1061
28255 4107 y Fw(bary)m(on.)236 4216 y Fq(=)k('Xi-')g(:)c Fw(\004)810
28256 4180 y Fk(\000)901 4216 y Fw(bary)m(on.)236 4324 y Fq(=)k('Xi0')g(:)c
28257 Fw(\004)810 4288 y Fl(0)882 4324 y Fw(bary)m(on.)236
28258 4432 y Fq(=)k('Omega-')h(:)48 b Fw(\012)969 4396 y Fk(\000)1061
28259 4432 y Fw(bary)m(on.)236 4541 y Fq(=)k('pomeron')h(:)48
28260 b Fw(the)34 b(p)s(omeron)f(I)-17 b(P;)36 b(since)e(p)s(omeron)g(parton)
28261 f(distribution)f(functions)i(ha)m(v)m(e)709 4649 y(not)e(b)s(een)h
28262 (de\014ned)h(this)f(option)e(can)i(not)f(b)s(e)h(used)h(curren)m(tly)-8
28263 b(.)236 4757 y Fq(=)52 b('reggeon')h(:)48 b Fw(the)33
28264 b(reggeon)g(I)-17 b(R,)33 b(with)f(commen)m(ts)g(as)h(for)f(the)h(p)s
28265 (omeron)f(ab)s(o)m(v)m(e.)0 4866 y Fq(WIN)52 b(:)216
28266 b Fw(related)33 b(to)f(energy)h(of)g(system,)g(exact)h(meaning)d(dep)s
28267 (ends)j(on)e Fq(FRAME)p Fw(.)236 4974 y Fq(FRAME='CMS')54
28268 b(:)48 b Fw(total)31 b(energy)j(of)e(system)h(\(in)f(GeV\).)236
28269 5082 y Fq(FRAME='FIXT')55 b(:)47 b Fw(momen)m(tum)31
28270 b(of)h(b)s(eam)g(particle)g(\(in)f(GeV/)p Fj(c)p Fw(\).)236
28271 5191 y Fq(FRAME='USER')55 b(:)47 b Fw(dumm)m(y)32 b(\(information)e(is)
28272 i(tak)m(en)h(from)f(the)h Fq(P)g Fw(v)m(ectors,)h(see)f(ab)s(o)m(v)m
28273 (e\).)p 0 5341 723 9 v 0 5543 9 203 v 79 5472 a Fq(CALL)52
28274 b(PYEVNT)p 714 5543 V 0 5551 723 9 v 1817 5953 a Fw(140)p
28275 eop
28276 %%Page: 141 147
28277 141 146 bop 0 -18 a Fo(Purp)s(ose:)48 b Fw(to)39 b(generate)h(one)f(ev)
28278 m(en)m(t)i(of)e(the)h(t)m(yp)s(e)g(sp)s(eci\014ed)g(b)m(y)g(the)g
28279 Fq(PYINIT)h Fw(call.)62 b(\(This)39 b(is)g(the)472 90
28280 y(main)31 b(routine,)h(whic)m(h)i(calls)d(a)h(n)m(um)m(b)s(er)h(of)f
28281 (other)h(routines)f(for)g(sp)s(eci\014c)i(tasks.\))p
28282 0 240 1082 9 v 0 459 9 220 v 79 380 a Fq(CALL)52 b(PYSTAT\(MSTAT\))p
28283 1073 459 V 0 467 1082 9 v 0 599 a Fo(Purp)s(ose:)c Fw(to)43
28284 b(prin)m(t)g(out)h(cross-sections)g(statistics,)i(deca)m(y)f(widths,)i
28285 (branc)m(hing)c(ratios,)j(status)472 707 y(co)s(des)g(and)g(parameter)f
28286 (v)-5 b(alues.)81 b Fq(PYSTAT)47 b Fw(ma)m(y)e(b)s(e)g(called)f(at)h
28287 (an)m(y)h(time,)h(after)e(the)472 816 y Fq(PYINIT)35
28288 b Fw(call,)30 b(e.g.)44 b(at)32 b(the)h(end)h(of)e(the)h(run,)g(or)f
28289 (not)g(at)h(all.)0 924 y Fq(MSTAT)53 b(:)113 b Fw(sp)s(eci\014cation)32
28290 b(of)h(desired)g(information.)236 1032 y Fq(=)52 b(1)f(:)217
28291 b Fw(prin)m(ts)35 b(a)g(table)f(of)h(ho)m(w)h(man)m(y)f(ev)m(en)m(ts)j
28292 (of)c(the)i(di\013eren)m(t)g(kinds)f(that)g(ha)m(v)m(e)i(b)s(een)709
28293 1141 y(generated)47 b(and)f(the)g(corresp)s(onding)h(cross)g(sections.)
28294 84 b(All)45 b(n)m(um)m(b)s(ers)i(already)709 1249 y(include)32
28295 b(the)h(e\013ects)h(of)e(cuts)h(required)g(b)m(y)h(the)f(user)g(in)f
28296 Fq(PYKCUT)p Fw(.)236 1357 y Fq(=)52 b(2)f(:)217 b Fw(prin)m(ts)23
28297 b(a)h(table)e(of)h(the)h(resonances)i(de\014ned)f(in)e(the)h(program,)g
28298 (with)f(their)g(particle)709 1466 y(co)s(des)h(\(KF\),)f(and)g(all)f
28299 (allo)m(w)m(ed)g(deca)m(y)j(c)m(hannels.)42 b(\(If)23
28300 b(the)h(n)m(um)m(b)s(er)g(of)f(generations)709 1574 y(in)33
28301 b Fq(MSTP\(1\))k Fw(is)d(3,)h(ho)m(w)m(ev)m(er,)i(c)m(hannels)f(in)m(v)
28302 m(olving)d(fourth-generation)g(particles)709 1682 y(are)c(not)g(displa)
28303 m(y)m(ed.\))43 b(F)-8 b(or)28 b(eac)m(h)i(deca)m(y)h(c)m(hannel)e(is)g
28304 (sho)m(wn)h(the)g(sequen)m(tial)f(c)m(han-)709 1791 y(nel)34
28305 b(n)m(um)m(b)s(er)h(\(IDC\))f(of)h(the)g Fm(Jetset)e
28306 Fw(deca)m(y)j(tables,)f(the)g(partial)e(deca)m(y)j(width,)709
28307 1899 y(branc)m(hing)27 b(ratio)f(and)i(e\013ectiv)m(e)h(branc)m(hing)f
28308 (ratio)e(\(in)g(the)j(ev)m(en)m(t)g(some)f(c)m(hannels)709
28309 2007 y(ha)m(v)m(e)34 b(b)s(een)f(excluded)h(b)m(y)f(the)g(user\).)236
28310 2116 y Fq(=)52 b(3)f(:)217 b Fw(prin)m(ts)36 b(a)h(table)e(with)h(the)h
28311 (allo)m(w)m(ed)f(hard)h(in)m(teraction)e(\015a)m(v)m(ours)j
28312 Fq(KFIN\(I,J\))h Fw(for)709 2224 y(b)s(eam)32 b(and)g(target)g
28313 (particles.)236 2332 y Fq(=)52 b(4)f(:)217 b Fw(prin)m(ts)44
28314 b(a)g(table)g(of)g(the)h(kinematical)d(cuts)j Fq(CKIN\(I\))i
28315 Fw(set)e(b)m(y)g(the)g(user)g(in)f(the)709 2441 y(curren)m(t)33
28316 b(run.)236 2549 y Fq(=)52 b(5)f(:)217 b Fw(prin)m(ts)40
28317 b(a)g(table)g(with)g(all)f(the)h(v)-5 b(alues)41 b(of)f(the)h(status)g
28318 (co)s(des)g Fq(MSTP\(I\))h Fw(and)f(the)709 2657 y(parameters)32
28319 b Fq(PARP\(I\))j Fw(used)e(in)f(the)h(curren)m(t)h(run.)p
28320 0 2802 1133 9 v 0 3021 9 220 v 79 2942 a Fq(CALL)52 b(PYFRAM\(IFRAME\))
28321 p 1124 3021 V 0 3029 1133 9 v 0 3161 a Fo(Purp)s(ose:)c
28322 Fw(to)32 b(transform)g(an)g(ev)m(en)m(t)j(listing)30
28323 b(b)s(et)m(w)m(een)k(di\013eren)m(t)f(reference)h(frames,)f(if)e(so)i
28324 (desired.)0 3269 y Fq(IFRAME)53 b(:)62 b Fw(sp)s(eci\014cation)32
28325 b(of)h(frame)e(the)i(ev)m(en)m(t)i(is)d(to)g(b)s(e)h(b)s(o)s(osted)f
28326 (to.)236 3378 y Fq(=)52 b(1)f(:)217 b Fw(frame)31 b(sp)s(eci\014ed)j(b)
28327 m(y)f(user)h(in)e(the)h Fq(PYINIT)h Fw(call.)236 3486
28328 y Fq(=)52 b(2)f(:)217 b Fw(c.m.)43 b(frame)32 b(of)g(incoming)e
28329 (particles.)236 3594 y Fq(=)52 b(3)f(:)217 b Fw(hadronic)44
28330 b(c.m.)81 b(frame)44 b(of)g(lepton{hadron)h(in)m(teraction)f(ev)m(en)m
28331 (ts.)83 b(Mainly)44 b(in-)709 3703 y(tended)c(for)f(deep)i(inelastic)c
28332 (scattering,)k(but)f(can)g(also)e(b)s(e)i(used)h(in)d(photopro-)709
28333 3811 y(duction.)74 b(Note)43 b(that)g(b)s(oth)g(the)g(lepton)g(and)g
28334 (an)m(y)h(photons)f(radiated)f(o\013)h(the)709 3919 y(lepton)33
28335 b(remain)f(in)h(the)h(ev)m(en)m(t)i(listing,)31 b(and)j(ha)m(v)m(e)h
28336 (to)e(b)s(e)h(remo)m(v)m(ed)h(separately)f(if)709 4028
28337 y(y)m(ou)f(only)f(w)m(an)m(t)h(to)g(study)g(the)g(hadronic)g
28338 (subsystem.)p 0 4172 1030 9 v 0 4391 9 220 v 79 4312
28339 a Fq(CALL)52 b(PYKCUT\(MCUT\))p 1022 4391 V 0 4399 1030
28340 9 v 0 4531 a Fo(Purp)s(ose:)c Fw(to)23 b(enable)h(y)m(ou)h(to)f(reject)
28341 g(a)g(giv)m(en)g(set)h(of)e(kinematic)g(v)-5 b(ariables)22
28342 b(at)i(an)g(early)f(stage)i(of)e(the)472 4639 y(generation)34
28343 b(pro)s(cedure)h(\(b)s(efore)g(ev)-5 b(aluation)32 b(of)i(cross)h
28344 (sections\),)g(so)g(as)f(not)g(to)g(sp)s(end)472 4748
28345 y(unnecessary)c(time)25 b(on)h(the)h(generation)f(of)g(ev)m(en)m(ts)j
28346 (that)e(are)f(not)h(w)m(an)m(ted.)43 b(The)27 b(routine)472
28347 4856 y(will)35 b(not)h(b)s(e)h(called)f(unless)h(y)m(ou)g(require)g(is)
28348 g(b)m(y)g(setting)h Fq(MSTP\(141\)=1)p Fw(,)j(and)36
28349 b(nev)m(er)j(if)472 4965 y(`minim)m(um-bias'-t)m(yp)s(e)24
28350 b(ev)m(en)m(ts)29 b(\(including)c(elastic)h(and)i(di\013ractiv)m(e)e
28351 (scattering\))h(are)g(to)472 5073 y(b)s(e)41 b(generated)h(as)f(w)m
28352 (ell.)66 b(A)41 b(dumm)m(y)f(routine)g Fq(PYKCUT)j Fw(is)d(included)g
28353 (in)g(the)h(program)472 5181 y(\014le,)30 b(so)f(as)g(to)f(a)m(v)m(oid)
28354 h(unresolv)m(ed)h(external)f(references)i(when)f(the)f(routine)f(is)h
28355 (not)f(used.)0 5290 y Fq(MCUT)52 b(:)165 b Fw(\015ag)33
28356 b(to)f(signal)f(e\013ect)i(of)f(user-de\014ned)j(cuts.)236
28357 5398 y Fq(=)52 b(0)f(:)217 b Fw(ev)m(en)m(t)34 b(is)e(to)g(b)s(e)h
28358 (retained)g(and)f(generated)i(in)d(full.)236 5506 y Fq(=)52
28359 b(1)f(:)217 b Fw(ev)m(en)m(t)34 b(is)e(to)g(b)s(e)h(rejected)h(and)f(a)
28360 f(new)h(one)g(generated.)0 5615 y Fo(Remark)k(:)47 b
28361 Fw(at)g(the)g(time)e(of)h(selection,)k(sev)m(eral)d(v)-5
28362 b(ariables)46 b(in)g(the)h Fq(MINT)h Fw(and)e Fq(VINT)i
28363 Fw(arra)m(ys)f(in)1817 5953 y(141)p eop
28364 %%Page: 142 148
28365 142 147 bop 472 -18 a Fw(the)35 b Fq(PYINT1)i Fw(common)c(blo)s(c)m(k)h
28366 (con)m(tain)g(information)e(that)i(can)h(b)s(e)f(used)i(to)e(mak)m(e)h
28367 (the)472 90 y(decision.)41 b(The)25 b(routine)f(pro)m(vided)h(in)e(the)
28368 i(program)e(\014le)h(explicitly)f(reads)i(the)g(v)-5
28369 b(ariables)472 198 y(that)34 b(ha)m(v)m(e)g(b)s(een)h(de\014ned)f(at)f
28370 (the)h(time)e Fq(PYKCUT)j Fw(is)e(called,)g(and)g(also)g(calculates)g
28371 (some)472 307 y(deriv)m(ed)i(quan)m(tities.)45 b(The)35
28372 b(information)30 b(a)m(v)-5 b(ailable)31 b(includes)i(subpro)s(cess)j
28373 (t)m(yp)s(e)e(ISUB,)472 430 y Fj(E)544 445 y Fl(cm)639
28374 430 y Fw(,)i(^)-53 b Fj(s)p Fw(,)803 411 y(^)802 430
28375 y Fj(t)p Fw(,)38 b(^)-55 b Fj(u)o Fw(,)40 b(^)-57 b Fj(p)1059
28376 445 y Fk(?)1118 430 y Fw(,)32 b Fj(x)1232 445 y Fl(1)1271
28377 430 y Fw(,)g Fj(x)1385 445 y Fl(2)1425 430 y Fw(,)g Fj(x)1539
28378 445 y Fl(F)1589 430 y Fw(,)g Fj(\034)11 b Fw(,)32 b Fj(y)t
28379 Fw(,)f Fj(\034)1923 394 y Fk(0)1946 430 y Fw(,)h(cos)2160
28380 403 y(^)2152 430 y Fj(\022)s Fw(,)g(and)f(a)g(few)h(more.)42
28381 b(Some)31 b(of)g(these)i(ma)m(y)472 538 y(not)g(b)s(e)g(relev)-5
28382 b(an)m(t)32 b(for)g(the)h(pro)s(cess)h(under)f(study)-8
28383 b(,)34 b(and)f(are)f(then)i(set)f(to)f(zero.)p 0 682
28384 1030 9 v 0 902 9 220 v 79 822 a Fq(CALL)52 b(PYEVWT\(WTXS\))p
28385 1022 902 V 0 910 1030 9 v 0 1042 a Fo(Purp)s(ose:)c Fw(to)33
28386 b(allo)m(w)e(y)m(ou)j(to)f(rew)m(eigh)m(t)h(ev)m(en)m(t)i(cross)e
28387 (sections,)g(b)m(y)g(pro)s(cess)h(t)m(yp)s(e)f(and)f(kinematics)472
28388 1150 y(of)d(the)h(hard)f(scattering.)42 b(There)32 b(exists)f(t)m(w)m
28389 (o)g(separate)f(mo)s(des)g(of)g(usage,)h(describ)s(ed)g(in)472
28390 1258 y(the)i(follo)m(wing.)472 1367 y(F)-8 b(or)24 b
28391 Fq(MSTP\(142\)=1)p Fw(,)k(it)23 b(is)g(assumed)i(that)f(the)g(cross)h
28392 (section)f(of)f(the)i(pro)s(cess)g(is)e(correctly)472
28393 1475 y(giv)m(en)34 b(b)m(y)f(default)g(in)f Fm(Pythia)p
28394 Fw(,)h(but)g(that)g(one)g(wishes)h(to)f(generate)h(ev)m(en)m(ts)h
28395 (biased)e(to)472 1583 y(a)42 b(sp)s(eci\014c)g(region)f(of)g(phase)i
28396 (space.)72 b(While)41 b(the)h Fq(WTXS)h Fw(factor)e(therefore)h(m)m
28397 (ultiplies)472 1692 y(the)f(na)-11 b(\177)-38 b(\020v)m(e)40
28398 b(cross)h(section)g(in)e(the)h(c)m(hoice)h(of)f(subpro)s(cess)i(t)m(yp)
28399 s(e)f(and)f(kinematics,)h(the)472 1800 y(pro)s(duced)32
28400 b(ev)m(en)m(t)g(comes)e(with)g(a)g(comp)s(ensating)g(w)m(eigh)m(t)g
28401 Fq(PARI\(10\)=1./WTXS)p Fw(,)35 b(whic)m(h)472 1908 y(should)e(b)s(e)f
28402 (used)i(when)f(\014lling)d(histograms)h(etc.)44 b(In)33
28403 b(the)f Fq(PYSTAT\(1\))j Fw(table,)d(the)h(cross)472
28404 2017 y(sections)j(are)g(unc)m(hanged)h(\(up)e(to)g(statistical)e
28405 (errors\))j(compared)f(with)g(the)h(standard)472 2125
28406 y(cross)28 b(sections,)g(but)e(the)h(relativ)m(e)e(comp)s(osition)f(of)
28407 i(ev)m(en)m(ts)i(ma)m(y)e(b)s(e)h(c)m(hanged)g(and)f(need)472
28408 2233 y(no)k(longer)f(b)s(e)g(in)g(prop)s(ortion)f(to)i(relativ)m(e)e
28409 (cross)j(sections.)43 b(A)30 b(t)m(ypical)f(example)g(of)g(this)472
28410 2342 y(usage)45 b(is)e(if)g(one)h(wishes)g(to)g(enhance)h(the)f(pro)s
28411 (duction)f(of)g(high-)p Fj(p)3056 2357 y Fk(?)3158 2342
28412 y Fw(ev)m(en)m(ts;)51 b(then)45 b(a)472 2450 y(w)m(eigh)m(t)39
28413 b(lik)m(e)e Fq(WTXS)p Fw(=)i(\()p Fj(p)1377 2465 y Fk(?)1435
28414 2450 y Fj(=p)1533 2465 y Fk(?)p Fl(0)1628 2450 y Fw(\))1666
28415 2414 y Fl(2)1743 2450 y Fw(\(with)f Fj(p)2058 2465 y
28416 Fk(?)p Fl(0)2190 2450 y Fw(some)g(\014xed)i(n)m(um)m(b)s(er\))e(migh)m
28417 (t)f(b)s(e)h(appro-)472 2558 y(priate.)472 2667 y(F)-8
28418 b(or)30 b Fq(MSTP\(142\)=2)p Fw(,)k(on)d(the)g(other)f(hand,)i(it)d(is)
28419 h(assumed)i(that)e(the)h(true)g(cross)g(section)472 2775
28420 y(is)d(really)e(to)i(b)s(e)g(mo)s(difed)e(b)m(y)j(the)g(m)m
28421 (ultiplicativ)m(e)24 b(factor)k Fq(WTXS)p Fw(.)h(The)f(generated)h(ev)m
28422 (en)m(ts)472 2883 y(therefore)h(come)e(with)g(unit)g(w)m(eigh)m(t,)i
28423 (just)f(as)f(usual.)42 b(This)29 b(option)e(is)h(really)g(equiv)-5
28424 b(alen)m(t)472 2992 y(to)35 b(replacing)f(the)i(basic)f(cross)i
28425 (sections)f(co)s(ded)g(in)e Fm(Pythia)p Fw(,)i(but)g(allo)m(ws)e(more)h
28426 (\015exi-)472 3100 y(bilit)m(y:)42 b(no)33 b(need)g(to)f(recompile)f
28427 (the)i(whole)g(of)39 b Fm(Pythia)p Fw(.)472 3208 y(The)e(routine)e
28428 (will)e(not)i(b)s(e)h(called)e(unless)j Fq(MSTP\(142\))p
28429 Fn(\025)e Fw(1,)h(and)g(nev)m(er)h(if)d(`minim)m(um-)472
28430 3317 y(bias'-t)m(yp)s(e)41 b(ev)m(en)m(ts)h(\(including)c(elastic)h
28431 (and)h(di\013ractiv)m(e)g(scattering\))g(are)g(to)f(b)s(e)i(gen-)472
28432 3425 y(erated)e(as)e(w)m(ell.)58 b(F)-8 b(urther,)39
28433 b(cross)g(sections)f(for)f(additional)e(m)m(ultiple)g(in)m(teractions)i
28434 (or)472 3533 y(pile-up)31 b(ev)m(en)m(ts)j(are)e(nev)m(er)i
28435 (a\013ected.)44 b(A)32 b(dumm)m(y)g(routine)f Fq(PYEVWT)j
28436 Fw(is)d(included)h(in)f(the)472 3642 y(program)f(\014le,)i(so)f(as)h
28437 (to)f(a)m(v)m(oid)g(unresolv)m(ed)h(external)g(references)h(when)f(the)
28438 g(routine)f(is)472 3750 y(not)i(used.)0 3858 y Fq(WTXS:)217
28439 b Fw(m)m(ultiplication)41 b(factor)k(to)g(ordinary)f(ev)m(en)m(t)k
28440 (cross)e(section;)52 b(to)45 b(b)s(e)g(set)h(\(b)m(y)g(y)m(ou\))g(in)
28441 472 3967 y Fq(PYEVWT)35 b Fw(call.)0 4075 y Fo(Remark)i(:)47
28442 b Fw(at)g(the)g(time)e(of)h(selection,)k(sev)m(eral)d(v)-5
28443 b(ariables)46 b(in)g(the)h Fq(MINT)h Fw(and)e Fq(VINT)i
28444 Fw(arra)m(ys)f(in)472 4183 y(the)35 b Fq(PYINT1)i Fw(common)c(blo)s(c)m
28445 (k)h(con)m(tain)g(information)e(that)i(can)h(b)s(e)f(used)i(to)e(mak)m
28446 (e)h(the)472 4292 y(decision.)41 b(The)25 b(routine)f(pro)m(vided)h(in)
28447 e(the)i(program)e(\014le)h(explicitly)f(reads)i(the)g(v)-5
28448 b(ariables)472 4400 y(that)34 b(ha)m(v)m(e)g(b)s(een)h(de\014ned)f(at)f
28449 (the)h(time)e Fq(PYEVWT)j Fw(is)e(called,)g(and)g(also)g(calculates)g
28450 (some)472 4509 y(deriv)m(ed)49 b(quan)m(tities.)90 b(The)50
28451 b(giv)m(en)e(list)f(of)g(information)e(includes)j(subpro)s(cess)j(t)m
28452 (yp)s(e)472 4632 y(ISUB,)40 b Fj(E)842 4647 y Fl(cm)937
28453 4632 y Fw(,)k(^)-53 b Fj(s)p Fw(,)1119 4613 y(^)1118
28454 4632 y Fj(t)p Fw(,)47 b(^)-55 b Fj(u)p Fw(,)49 b(^)-58
28455 b Fj(p)1393 4647 y Fk(?)1452 4632 y Fw(,)41 b Fj(x)1575
28456 4647 y Fl(1)1615 4632 y Fw(,)g Fj(x)1738 4647 y Fl(2)1778
28457 4632 y Fw(,)f Fj(x)1900 4647 y Fl(F)1951 4632 y Fw(,)h
28458 Fj(\034)11 b Fw(,)41 b Fj(y)t Fw(,)f Fj(\034)2312 4596
28459 y Fk(0)2336 4632 y Fw(,)g(cos)2558 4605 y(^)2550 4632
28460 y Fj(\022)t Fw(,)g(and)g(a)e(few)i(more.)62 b(Some)39
28461 b(of)472 4740 y(these)44 b(ma)m(y)e(not)g(b)s(e)g(relev)-5
28462 b(an)m(t)42 b(for)g(the)h(pro)s(cess)g(under)g(study)-8
28463 b(,)46 b(and)c(are)g(then)h(set)g(to)472 4848 y(zero.)0
28464 4957 y Fo(W)-9 b(arning:)47 b Fw(the)26 b(w)m(eigh)m(ts)g(only)f(apply)
28465 g(to)h(the)g(hard)f(scattering)h(subpro)s(cesses.)44
28466 b(There)26 b(is)g(no)f(w)m(a)m(y)i(to)472 5065 y(rew)m(eigh)m(t)36
28467 b(the)f(shap)s(e)g(of)f(initial-)c(and)35 b(\014nal-state)f(sho)m(w)m
28468 (ers,)j(fragmen)m(tation,)c(or)h(other)472 5173 y(asp)s(ects)g(of)e
28469 (the)h(ev)m(en)m(t.)1817 5953 y(142)p eop
28470 %%Page: 143 149
28471 143 148 bop 0 -18 a Fp(9.2)135 b(Switc)l(hes)46 b(for)f(Ev)l(en)l(t)h
28472 (T)l(yp)t(e)e(and)h(Kinematics)i(Selection)0 154 y Fw(By)33
28473 b(default,)e(if)38 b Fm(Pythia)32 b Fw(is)g(run)g(for)g(a)g(hadron)g
28474 (collider,)e(only)i(QCD)g(2)27 b Fn(!)g Fw(2)32 b(pro)s(cesses)i(are)e
28475 (gener-)0 263 y(ated,)27 b(comp)s(osed)e(of)g(hard)g(in)m(teractions)g
28476 (ab)s(o)m(v)m(e)h Fj(p)1842 278 y Fk(?)p Fl(min)2046
28477 263 y Fw(=)p Fq(PARP\(81\))p Fw(,)j(with)c(lo)m(w-)p
28478 Fj(p)3027 278 y Fk(?)3110 263 y Fw(pro)s(cesses)j(added)0
28479 371 y(on)h(so)h(as)g(to)f(giv)m(e)g(the)h(full)e(\(parametrized\))g
28480 (inelastic,)h(non-di\013ractiv)m(e)f(cross)j(section.)43
28481 b(In)29 b(an)h(e)3618 335 y Fl(+)3677 371 y Fw(e)3720
28482 335 y Fk(\000)0 479 y Fw(collider,)i Fj(\015)426 443
28483 y Fk(\003)466 479 y Fj(=)p Fw(Z)575 443 y Fl(0)648 479
28484 y Fw(pro)s(duction)h(is)g(the)i(default,)f(and)g(in)f(an)h(ep)g(one)h
28485 (it)e(is)g(deep)i(inelastic)e(scattering.)0 588 y(With)g(the)h(help)f
28486 (of)g(the)h(common)e(blo)s(c)m(k)i Fq(PYSUBS)p Fw(,)h(it)d(is)h(p)s
28487 (ossible)g(to)g(select)h(the)g(generation)f(of)g(an-)0
28488 696 y(other)e(pro)s(cess,)i(or)d(com)m(bination)f(of)i(pro)s(cesses.)45
28489 b(It)31 b(is)f(also)g(allo)m(w)m(ed)h(to)f(restrict)h(the)h(generation)
28490 e(to)0 804 y(sp)s(eci\014c)g(incoming)e(partons/particles)g(at)i(the)g
28491 (hard)f(in)m(teraction.)42 b(This)30 b(often)f(automatically)d(also)0
28492 913 y(restricts)j(\014nal-state)f(\015a)m(v)m(ours)j(but,)f(in)e(pro)s
28493 (cesses)j(suc)m(h)f(as)f(resonance)h(pro)s(duction)f(or)f(QCD/QED)0
28494 1021 y(pro)s(duction)h(of)f(new)j(\015a)m(v)m(ours,)g(switc)m(hes)g(in)
28495 d(the)i Fm(Jetset)e Fw(program)g(ma)m(y)h(b)s(e)h(used)g(to)f(this)g
28496 (end;)i(see)0 1129 y(section)i(14.6.)146 1238 y(The)j
28497 Fq(CKIN)g Fw(arra)m(y)f(ma)m(y)f(b)s(e)h(used)h(to)f(imp)s(ose)e(sp)s
28498 (eci\014c)j(kinematics)d(cuts.)51 b(Y)-8 b(ou)35 b(should)g(here)g(b)s
28499 (e)0 1346 y(w)m(arned)f(that,)g(if)e(kinematical)f(v)-5
28500 b(ariables)32 b(are)h(to)s(o)f(strongly)h(restricted,)h(the)g
28501 (generation)e(time)g(p)s(er)0 1454 y(ev)m(en)m(t)39 b(ma)m(y)f(b)s
28502 (ecome)f(v)m(ery)i(long.)58 b(In)38 b(extreme)g(cases,)i(where)f(the)f
28503 (cuts)h(e\013ectiv)m(ely)f(close)f(the)h(full)0 1563
28504 y(phase)31 b(space,)h(the)f(ev)m(en)m(t)h(generation)e(ma)m(y)g(run)h
28505 (in)m(to)e(an)i(in\014nite)e(lo)s(op.)41 b(The)31 b(generation)f(of)g
28506 (2)d Fn(!)h Fw(1)0 1671 y(resonance)39 b(pro)s(duction)e(is)g(p)s
28507 (erformed)g(in)g(terms)h(of)f(the)42 b(^)-53 b Fj(s)38
28508 b Fw(and)g Fj(y)i Fw(v)-5 b(ariables,)38 b(and)g(so)g(the)g(ranges)0
28509 1779 y Fq(CKIN\(1\))53 b(-)f(CKIN\(2\))d Fw(and)f Fq(CKIN\(7\))54
28510 b(-)d(CKIN\(8\))f Fw(ma)m(y)e(b)s(e)g(arbitrarily)d(restricted)j
28511 (without)g(a)0 1902 y(signi\014can)m(t)g(loss)h(of)f(sp)s(eed.)93
28512 b(F)-8 b(or)48 b(2)55 b Fn(!)g Fw(2)48 b(pro)s(cesses,)55
28513 b(cos)2335 1876 y(^)2327 1902 y Fj(\022)d Fw(is)c(added)i(as)f(a)f
28514 (third)g(generation)0 2011 y(v)-5 b(ariable,)30 b(and)i(so)f
28515 (additionally)d(the)k(range)g Fq(CKIN\(27\))53 b(-)f(CKIN\(28\))33
28516 b Fw(ma)m(y)e(b)s(e)h(restricted)g(without)0 2119 y(an)m(y)h(danger.)
28517 146 2228 y(E\013ects)25 b(from)d(initial-)d(and)24 b(\014nal-state)f
28518 (radiation)e(are)i(not)g(included,)i(since)f(they)g(are)g(not)f(kno)m
28519 (wn)0 2336 y(at)29 b(the)g(time)f(the)i(kinematics)e(at)h(the)g(hard)g
28520 (in)m(teraction)f(is)h(selected.)43 b(The)30 b(sharp)g(kinematical)d
28521 (cut-)0 2444 y(o\013s)33 b(that)h(can)f(b)s(e)h(imp)s(osed)e(on)i(the)f
28522 (generation)g(pro)s(cess)i(are)e(therefore)h(smeared,)g(b)s(oth)f(b)m
28523 (y)i(QCD)0 2553 y(radiation)30 b(and)j(b)m(y)g(fragmen)m(tation.)42
28524 b(A)33 b(few)g(examples)f(of)g(suc)m(h)j(e\013ects)e(follo)m(w.)145
28525 2666 y Fn(\017)49 b Fw(Initial-state)42 b(radiation)h(implies)f(that)j
28526 (eac)m(h)h(of)f(the)g(t)m(w)m(o)h(incoming)d(partons)i(has)g(a)g(non-)
28527 244 2774 y(v)-5 b(anishing)27 b Fj(p)720 2789 y Fk(?)807
28528 2774 y Fw(when)j(they)f(in)m(teract.)42 b(The)30 b(hard)e(scattering)g
28529 (subsystem)i(th)m(us)g(receiv)m(es)g(a)e(net)244 2882
28530 y(transv)m(erse)40 b(b)s(o)s(ost,)g(and)e(is)g(rotated)g(with)g(resp)s
28531 (ect)i(to)e(the)g(b)s(eam)g(directions.)60 b(In)38 b(a)h(2)e
28532 Fn(!)g Fw(2)244 2991 y(pro)s(cess,)49 b(what)44 b(t)m(ypically)f(happ)s
28533 (ens)j(is)e(that)g(one)h(of)e(the)i(scattered)h(partons)f(receiv)m(es)h
28534 (an)244 3099 y(increased)33 b Fj(p)716 3114 y Fk(?)775
28535 3099 y Fw(,)g(while)e(the)i Fj(p)1306 3114 y Fk(?)1398
28536 3099 y Fw(of)f(the)h(other)g(parton)f(is)g(reduced.)145
28537 3217 y Fn(\017)49 b Fw(Since)37 b(the)h(initial-state)33
28538 b(radiation)i(mac)m(hinery)i(assigns)g(space-lik)m(e)g(virtualities)d
28539 (to)j(the)h(in-)244 3325 y(coming)h(partons,)44 b(the)d(de\014nitions)g
28540 (of)f Fj(x)i Fw(in)e(terms)h(of)f(energy)i(fractions)f(and)g(in)f
28541 (terms)h(of)244 3433 y(momen)m(tum)34 b(fractions)h(no)g(longer)f
28542 (coincide,)i(and)g(so)f(the)h(in)m(teracting)e(subsystem)k(ma)m(y)d
28543 (re-)244 3542 y(ceiv)m(e)46 b(a)e(net)h(longitudinal)c(b)s(o)s(ost)k
28544 (compared)f(with)h(na)-11 b(\177)-38 b(\020v)m(e)45 b(exp)s(ectations,)
28545 j(as)d(part)g(of)f(the)244 3650 y(parton-sho)m(w)m(er)33
28546 b(mac)m(hinery)-8 b(.)145 3768 y Fn(\017)49 b Fw(Initial-state)35
28547 b(radiation)g(giv)m(es)j(rise)f(to)h(additional)c(jets,)40
28548 b(whic)m(h)e(in)f(extreme)h(cases)h(ma)m(y)e(b)s(e)244
28549 3876 y(mistak)m(en)32 b(for)g(either)h(of)f(the)h(jets)g(of)f(the)h
28550 (hard)g(in)m(teraction.)145 3994 y Fn(\017)49 b Fw(Final-state)31
28551 b(radiation)h(giv)m(es)i(rise)f(to)h(additional)d(jets,)j(whic)m(h)g
28552 (smears)g(the)g(meaning)f(of)g(the)244 4102 y(basic)h(2)c
28553 Fn(!)g Fw(2)k(scattering.)49 b(The)35 b(assignmen)m(t)f(of)g(soft)g
28554 (jets)h(is)e(not)i(unique.)48 b(The)36 b(energy)f(of)f(a)244
28555 4211 y(jet)e(b)s(ecomes)i(dep)s(enden)m(t)g(on)e(the)i(w)m(a)m(y)f(it)f
28556 (is)g(iden)m(ti\014ed,)g(e.g.)44 b(what)33 b(jet)g(cone)g(size)g(is)f
28557 (used.)145 4329 y Fn(\017)49 b Fw(The)f(b)s(eam)e(remnan)m(t)g
28558 (description)h(assigns)g(primordial)c Fj(k)2534 4344
28559 y Fk(?)2639 4329 y Fw(v)-5 b(alues,)50 b(whic)m(h)e(also)e(giv)m(es)h
28560 (a)244 4437 y(net)c Fj(p)471 4452 y Fk(?)573 4437 y Fw(shift)f(of)g
28561 (the)h(hard-in)m(teraction)e(subsystem;)50 b(except)44
28562 b(at)f(lo)m(w)f(energies)h(this)g(e\013ect)244 4545 y(is)36
28563 b(o)m(v)m(ershado)m(w)m(ed)j(b)m(y)e(initial-state)32
28564 b(radiation,)j(ho)m(w)m(ev)m(er.)57 b(Beam)36 b(remnan)m(ts)g(ma)m(y)g
28565 (also)f(add)244 4654 y(further)e(activit)m(y)f(under)h(the)g(`p)s
28566 (erturbativ)m(e')g(ev)m(en)m(t.)145 4771 y Fn(\017)49
28567 b Fw(F)-8 b(ragmen)m(tation)20 b(will)g(further)j(broaden)g(jet)f
28568 (pro\014les,)j(and)d(mak)m(e)h(jet)f(assignmen)m(ts)h(and)f(energy)244
28569 4880 y(determinations)31 b(ev)m(en)j(more)e(uncertain.)0
28570 4993 y(In)37 b(a)f(study)i(of)e(ev)m(en)m(ts)j(within)d(a)g(giv)m(en)h
28571 (windo)m(w)g(of)f(exp)s(erimen)m(tally)g(de\014ned)i(v)-5
28572 b(ariables,)36 b(it)g(is)g(up)0 5101 y(to)31 b(y)m(ou)h(to)g(lea)m(v)m
28573 (e)g(suc)m(h)h(lib)s(eral)c(margins)h(that)h(no)h(ev)m(en)m(ts)i(are)d
28574 (missed.)43 b(In)32 b(other)g(w)m(ords,)h(cuts)f(ha)m(v)m(e)0
28575 5209 y(to)g(b)s(e)h(c)m(hosen)h(suc)m(h)g(that)e(a)h(negligible)c
28576 (fraction)i(of)i(ev)m(en)m(ts)h(migrate)d(from)g(outside)i(the)g(sim)m
28577 (ulated)0 5318 y(region)i(to)g(inside)g(the)h(in)m(teresting)f(region.)
28578 52 b(Often)36 b(this)f(ma)m(y)g(lead)g(to)g(lo)m(w)h(e\016ciency)h(in)d
28579 (terms)i(of)0 5426 y(what)31 b(fraction)e(of)i(the)g(generated)g(ev)m
28580 (en)m(ts)i(are)e(actually)e(of)i(in)m(terest)g(to)f(y)m(ou.)44
28581 b(See)31 b(also)f(section)h(3.6.)146 5535 y(In)i(addition)d(to)i(the)g
28582 (v)-5 b(ariables)31 b(found)h(in)f Fq(PYSUBS)p Fw(,)j(also)d(those)i
28583 (in)e(the)h Fq(PYPARS)i Fw(common)d(blo)s(c)m(k)0 5643
28584 y(ma)m(y)i(b)s(e)g(used)i(to)d(select)i(exactly)f(what)h(one)f(w)m(an)m
28585 (ts)i(to)e(ha)m(v)m(e)h(sim)m(ulated.)44 b(These)35 b(p)s(ossibilities)
28586 30 b(will)1817 5953 y(143)p eop
28587 %%Page: 144 150
28588 144 149 bop 0 -18 a Fw(b)s(e)33 b(describ)s(ed)g(in)f(the)h(follo)m
28589 (wing)d(subsection.)146 90 y(The)36 b(notation)e(used)i(ab)s(o)m(v)m(e)
28590 f(and)g(in)g(the)g(follo)m(wing)d(is)j(that)f(`)-8 b(^)g(')35
28591 b(denotes)h(in)m(ternal)e(v)-5 b(ariables)33 b(in)0 198
28592 y(the)g(hard)g(scattering)f(subsystem,)j(while)d(`)1626
28593 162 y Fk(\003)1665 198 y Fw(')h(is)f(for)h(v)-5 b(ariables)31
28594 b(in)h(the)h(c.m.)44 b(frame)31 b(of)i(the)g(ev)m(en)m(t)h(as)0
28595 307 y(a)e(whole.)p 0 431 2876 9 v 0 656 9 225 v 79 572
28596 a Fq(COMMON/PYSUBS/MSEL,MSUB\()q(200\))q(,KFI)q(N\(2,)q(-40)q(:40\))q
28597 (,CKI)q(N\(20)q(0\))p 2867 656 V 0 664 2876 9 v 0 796
28598 a Fo(Purp)s(ose:)48 b Fw(to)42 b(allo)m(w)g(the)h(user)h(to)e(run)h
28599 (the)h(program)d(with)i(an)m(y)g(desired)g(subset)i(of)d(pro)s(cesses,)
28600 472 905 y(or)47 b(restrict)g(\015a)m(v)m(ours)h(or)e(kinematics.)86
28601 b(If)46 b(the)i(default)e(v)-5 b(alues,)50 b(denoted)e(b)s(elo)m(w)f(b)
28602 m(y)472 1013 y(\(D=.)16 b(.)g(.)g(\),)33 b(are)g(not)f(satisfactory)-8
28603 b(,)33 b(they)g(m)m(ust)g(b)s(e)g(c)m(hanged)g(b)s(efore)g(the)g
28604 Fq(PYINIT)h Fw(call.)0 1175 y Fq(MSEL)52 b(:)165 b Fw(\(D=1\))36
28605 b(a)g(switc)m(h)i(to)e(select)h(b)s(et)m(w)m(een)h(full)d(user)j(con)m
28606 (trol)d(and)i(some)g(preprogrammed)472 1284 y(alternativ)m(es.)236
28607 1392 y Fq(=)52 b(0)f(:)217 b Fw(desired)25 b(subpro)s(cesses)j(ha)m(v)m
28608 (e)e(to)f(b)s(e)g(switc)m(hed)h(on)f(in)g Fq(MSUB)p Fw(,)h(i.e.)40
28609 b(full)23 b(user)j(con)m(trol.)236 1500 y Fq(=)52 b(1)f(:)217
28610 b Fw(dep)s(ending)32 b(on)h(incoming)d(particles,)i(di\013eren)m(t)h
28611 (alternativ)m(es)f(are)h(used.)709 1609 y(Lepton{lepton:)43
28612 b(Z)32 b(or)g(W)i(pro)s(duction)e(\(ISUB)h(=)g(1)f(or)g(2\).)709
28613 1717 y(Lepton{hadron:)43 b(deep)34 b(inelastic)d(scattering)h(\(ISUB)h
28614 (=)g(10\).)709 1825 y(Hadron{hadron:)66 b(QCD)44 b(high-)p
28615 Fj(p)1998 1840 y Fk(?)2100 1825 y Fw(pro)s(cesses)j(\(ISUB)e(=)f(11,)i
28616 (12,)h(13,)g(28,)g(53,)709 1934 y(68\);)31 b(additionally)d(lo)m(w-)p
28617 Fj(p)1667 1949 y Fk(?)1757 1934 y Fw(pro)s(duction)j(if)38
28618 b Fq(CKIN\(3\))p Fj(<)p Fq(PARP\(81\))d Fw(or)c Fq(PARP\(82\))p
28619 Fw(,)709 2042 y(dep)s(ending)c(on)h Fq(MSTP\(82\))h Fw(\(ISUB)f(=)g
28620 (95\).)41 b(If)27 b(lo)m(w-)p Fj(p)2663 2057 y Fk(?)2749
28621 2042 y Fw(is)g(switc)m(hed)i(on,)f(the)g(other)709 2150
28622 y Fq(CKIN)33 b Fw(cuts)h(are)e(not)h(used.)709 2259 y(A)j(resolv)m(ed)i
28623 (photon)f(coun)m(ts)g(as)g(hadron,)h(except)g(that)f(an)f(anomalous)f
28624 (photon)709 2367 y(cannot)i(ha)m(v)m(e)h(lo)m(w-)p Fj(p)1488
28625 2382 y Fk(?)1582 2367 y Fw(in)m(teractions.)56 b(When)37
28626 b(the)h(photon)e(is)h(not)f(resolv)m(ed,)j(the)709 2476
28627 y(follo)m(wing)30 b(cases)j(are)g(p)s(ossible.)709 2584
28628 y(Photon{lepton:)43 b(Compton)32 b(scattering)g(\(ISUB)h(=)g(34\).)709
28629 2692 y(Photon{hadron:)43 b(photon-parton)32 b(scattering)g(\(ISUB)i(=)e
28630 (33,)g(34,)g(54\).)709 2801 y(Photon{photon:)43 b(fermion)31
28631 b(pair)h(pro)s(duction)g(\(ISUB)h(=)f(58\).)236 2909
28632 y Fq(=)52 b(2)f(:)217 b Fw(as)38 b Fq(MSEL)52 b(=)g(1)38
28633 b Fw(for)f(lepton{lepton,)h(lepton{hadron)g(and)g(unresolv)m(ed)h
28634 (photons.)709 3017 y(F)-8 b(or)34 b(hadron{hadron)i(\(including)e
28635 (resolv)m(ed)i(photons\))g(all)e(QCD)h(pro)s(cesses,)k(in-)709
28636 3126 y(cluding)e(lo)m(w-)p Fj(p)1282 3141 y Fk(?)1340
28637 3126 y Fw(,)j(single)e(and)g(double)h(di\013ractiv)m(e)e(and)i(elastic)
28638 f(scattering,)h(are)709 3234 y(included)d(\(ISUB)i(=)f(11,)g(12,)h(13,)
28639 g(28,)g(53,)f(68,)h(91,)g(92,)g(93,)f(94,)h(95\).)56
28640 b(The)38 b Fq(CKIN)709 3342 y Fw(cuts)33 b(are)g(here)g(not)g(used.)236
28641 3451 y Fq(=)52 b(4)f(:)217 b Fw(c)m(harm)26 b(\(c)p 1079
28642 3398 44 4 v(c)q(\))g(pro)s(duction)h(with)f(massiv)m(e)h(matrix)e
28643 (elemen)m(ts)i(\(ISUB)g(=)g(81,)g(82,)h(84,)709 3559
28644 y(85\).)236 3678 y Fq(=)52 b(5)f(:)217 b Fw(b)s(ottom)33
28645 b(\(b)p 1147 3599 55 4 v(b)q(\))h(pro)s(duction)h(with)f(massiv)m(e)i
28646 (matrix)d(elemen)m(ts)i(\(ISUB)h(=)f(81,)g(82,)709 3786
28647 y(84,)d(85\).)236 3895 y Fq(=)52 b(6)f(:)217 b Fw(top)38
28648 b(\(t)p 964 3823 38 4 v(t\))h(pro)s(duction)f(with)g(massiv)m(e)h
28649 (matrix)e(elemen)m(ts)i(\(ISUB)h(=)e(81,)i(82,)g(84,)709
28650 4003 y(85\).)236 4122 y Fq(=)52 b(7)f(:)217 b Fw(lo)m(w)40
28651 b(\(l)p 959 4043 28 4 v(l)n(\))g(pro)s(duction)g(with)g(massiv)m(e)g
28652 (matrix)f(elemen)m(ts)i(\(ISUB)g(=)f(81,)i(82,)g(84,)709
28653 4230 y(85\).)236 4349 y Fq(=)52 b(8)f(:)217 b Fw(high)31
28654 b(\(h)p 1017 4270 55 4 v(h\))h(pro)s(duction)g(with)f(massiv)m(e)i
28655 (matrix)d(elemen)m(ts)j(\(ISUB)f(=)g(81,)g(82,)g(84,)709
28656 4458 y(85\).)236 4566 y Fq(=)52 b(10)g(:)165 b Fw(prompt)32
28657 b(photons)h(\(ISUB)g(=)f(14,)g(18,)g(29\).)236 4674 y
28658 Fq(=)52 b(11)g(:)165 b Fw(Z)769 4638 y Fl(0)840 4674
28659 y Fw(pro)s(duction)32 b(\(ISUB)h(=)g(1\).)236 4783 y
28660 Fq(=)52 b(12)g(:)165 b Fw(W)810 4747 y Fk(\006)902 4783
28661 y Fw(pro)s(duction)32 b(\(ISUB)h(=)f(2\).)236 4891 y
28662 Fq(=)52 b(13)g(:)165 b Fw(Z)769 4855 y Fl(0)840 4891
28663 y Fw(+)33 b(jet)f(pro)s(duction)g(\(ISUB)h(=)g(15,)f(30\).)236
28664 4999 y Fq(=)52 b(14)g(:)165 b Fw(W)810 4963 y Fk(\006)902
28665 4999 y Fw(+)32 b(jet)h(pro)s(duction)f(\(ISUB)h(=)f(16,)g(31\).)236
28666 5108 y Fq(=)52 b(15)g(:)165 b Fw(pair)37 b(pro)s(duction)g(of)g
28667 (di\013eren)m(t)h(com)m(binations)f(of)g Fj(\015)5 b
28668 Fw(,)39 b(Z)2820 5072 y Fl(0)2897 5108 y Fw(and)f(W)3193
28669 5072 y Fk(\006)3291 5108 y Fw(\(except)h Fj(\015)5 b(\015)g
28670 Fw(;)709 5216 y(see)33 b Fq(MSEL)h Fw(=)e(10\))g(\(ISUB)h(=)g(19,)f
28671 (20,)g(22,)g(23,)g(25\).)236 5324 y Fq(=)52 b(16)g(:)165
28672 b Fw(H)782 5288 y Fl(0)854 5324 y Fw(pro)s(duction)32
28673 b(\(ISUB)h(=)f(3,)g(102,)g(103,)g(123,)g(124\).)236 5433
28674 y Fq(=)52 b(17)g(:)165 b Fw(H)782 5397 y Fl(0)821 5433
28675 y Fw(Z)881 5397 y Fl(0)953 5433 y Fw(or)32 b(H)1145 5397
28676 y Fl(0)1185 5433 y Fw(W)1286 5397 y Fk(\006)1378 5433
28677 y Fw(\(ISUB)h(=)f(24,)g(26\).)236 5541 y Fq(=)52 b(18)g(:)165
28678 b Fw(H)782 5505 y Fl(0)855 5541 y Fw(pro)s(duction,)34
28679 b(com)m(bination)f(relev)-5 b(an)m(t)34 b(for)g(e)2502
28680 5505 y Fl(+)2561 5541 y Fw(e)2604 5505 y Fk(\000)2697
28681 5541 y Fw(annihilation)d(\(ISUB)k(=)f(24,)709 5649 y(103,)e(123,)g
28682 (124\).)1817 5953 y(144)p eop
28683 %%Page: 145 151
28684 145 150 bop 236 -18 a Fq(=)52 b(19)g(:)165 b Fw(H)782
28685 -55 y Fl(0)821 -18 y Fw(,)33 b(H)954 -55 y Fk(0)p Fl(0)1046
28686 -18 y Fw(and)g(A)1309 -55 y Fl(0)1381 -18 y Fw(pro)s(duction,)f
28687 (excepting)i(pair)e(pro)s(duction)g(\(ISUB)h(=)g(24,)f(103,)709
28688 90 y(123,)g(124,)g(153,)f(158,)h(171,)g(173,)g(174,)g(176,)g(178,)g
28689 (179\).)236 198 y Fq(=)52 b(21)g(:)165 b Fw(Z)769 162
28690 y Fk(0)p Fl(0)859 198 y Fw(pro)s(duction)32 b(\(ISUB)h(=)g(141\).)236
28691 307 y Fq(=)52 b(22)g(:)165 b Fw(W)810 270 y Fk(0\006)921
28692 307 y Fw(pro)s(duction)32 b(\(ISUB)h(=)f(142\).)236 415
28693 y Fq(=)52 b(23)g(:)165 b Fw(H)782 379 y Fk(\006)873 415
28694 y Fw(pro)s(duction)32 b(\(ISUB)h(=)g(143\).)236 523 y
28695 Fq(=)52 b(24)g(:)165 b Fw(R)781 487 y Fl(0)852 523 y
28696 Fw(pro)s(duction)32 b(\(ISUB)h(=)g(144\).)236 632 y Fq(=)52
28697 b(25)g(:)165 b Fw(L)770 647 y Fl(Q)861 632 y Fw(\(lepto)s(quark\))32
28698 b(pro)s(duction)g(\(ISUB)h(=)g(145,)f(162,)g(163,)g(164\).)236
28699 740 y Fq(=)52 b(35:)217 b Fw(single)31 b(b)s(ottom)g(pro)s(duction)h(b)
28700 m(y)i(W)g(exc)m(hange)g(\(ISUB)f(=)g(83\).)236 848 y
28701 Fq(=)52 b(36:)217 b Fw(single)31 b(top)i(pro)s(duction)e(b)m(y)j(W)g
28702 (exc)m(hange)g(\(ISUB)f(=)g(83\).)236 957 y Fq(=)52 b(37:)217
28703 b Fw(single)31 b(lo)m(w)h(pro)s(duction)g(b)m(y)i(W)g(exc)m(hange)g
28704 (\(ISUB)f(=)f(83\).)236 1065 y Fq(=)52 b(38:)217 b Fw(single)31
28705 b(high)h(pro)s(duction)g(b)m(y)h(W)h(exc)m(hange)h(\(ISUB)e(=)f(83\).)0
28706 1227 y Fq(MSUB)52 b(:)165 b Fw(\(D=200*0\))32 b(arra)m(y)h(to)g(b)s(e)g
28707 (set)h(when)h Fq(MSEL=0)g Fw(\(for)d Fq(MSEL)p Fn(\025)f
28708 Fw(1)i(relev)-5 b(an)m(t)33 b(en)m(tries)h(are)f(set)472
28709 1336 y(in)26 b Fq(PYINIT)p Fw(\))h(to)f(c)m(ho)s(ose)g(whic)m(h)h
28710 (subset)g(of)f(subpro)s(cesses)j(to)c(include)h(in)f(the)h(generation.)
28711 472 1444 y(The)41 b(ordering)e(follo)m(ws)g(the)h(ISUB)g(co)s(de)h(giv)
28712 m(en)f(in)f(section)h(8.1)f(\(with)h(commen)m(ts)f(as)472
28713 1552 y(giv)m(en)33 b(there\).)236 1661 y Fq(MSUB\(ISUB\))54
28714 b(=)e(0)f(:)d Fw(the)33 b(subpro)s(cess)h(is)e(excluded.)236
28715 1769 y Fq(MSUB\(ISUB\))54 b(=)e(1)f(:)d Fw(the)33 b(subpro)s(cess)h(is)
28716 e(included.)236 1878 y Fo(Note:)203 b Fw(when)49 b Fq(MSEL=0)p
28717 Fw(,)k(the)c Fq(MSUB)f Fw(v)-5 b(alues)48 b(set)h(b)m(y)g(the)f(user)h
28718 (are)f(nev)m(er)i(c)m(hanged)f(b)m(y)709 1986 y Fm(Pythia)p
28719 Fw(.)61 b(If)39 b(y)m(ou)g(w)m(an)m(t)g(to)f(com)m(bine)g(sev)m(eral)i
28720 (di\013eren)m(t)e(`subruns',)k(eac)m(h)e(with)709 2094
28721 y(its)30 b(o)m(wn)i Fq(PYINIT)g Fw(call,)e(in)m(to)g(one)h(single)f
28722 (run,)i(it)e(is)g(up)h(to)g(y)m(ou)g(to)g(remem)m(b)s(er)g(not)709
28723 2203 y(only)40 b(to)h(switc)m(h)h(on)f(the)g(new)h(pro)s(cesses)h(b)s
28724 (efore)f(eac)m(h)g(new)h Fq(PYINIT)g Fw(call,)e(but)709
28725 2311 y(also)31 b(to)i(switc)m(h)g(o\013)f(the)h(old)f(ones)h(that)f
28726 (are)h(no)f(longer)g(desired.)0 2473 y Fq(KFIN\(I,J\))54
28727 b(:)47 b Fw(pro)m(vides)26 b(an)f(option)e(to)i(selectiv)m(ely)g(switc)
28728 m(h)h(on)f(and)g(o\013)f(con)m(tributions)h(to)f(the)i(cross)472
28729 2582 y(sections)32 b(from)d(the)i(di\013eren)m(t)g(incoming)d
28730 (partons/particles)i(at)h(the)g(hard)f(in)m(teraction.)472
28731 2690 y(In)44 b(com)m(bination)d(with)h(the)h Fm(Jetset)f
28732 Fw(resonance)j(deca)m(y)f(switc)m(hes,)j(this)c(also)f(allo)m(ws)472
28733 2798 y(y)m(ou)34 b(to)e(set)h(restrictions)f(on)h(\015a)m(v)m(ours)h
28734 (app)s(earing)d(in)h(the)h(\014nal)f(state.)236 2907
28735 y Fq(I)52 b(:)319 b Fw(is)32 b(1)g(for)g(b)s(eam)g(side)h(of)f(ev)m(en)
28736 m(t)i(and)f(2)f(for)g(target)g(side.)236 3015 y Fq(J)52
28737 b(:)319 b Fw(en)m(umerates)33 b(\015a)m(v)m(ours)h(according)e(to)g
28738 (the)h(KF)f(co)s(de;)h(see)h(section)f(5.1.)236 3123
28739 y Fq(KFIN\(I,J\))54 b(=)d(0)h(:)47 b Fw(the)33 b(parton/particle)e(is)h
28740 (forbidden.)236 3232 y Fq(KFIN\(I,J\))54 b(=)d(1)h(:)47
28741 b Fw(the)33 b(parton/particle)e(is)h(allo)m(w)m(ed.)236
28742 3340 y Fo(Note:)203 b Fw(By)38 b(default,)h(the)g(follo)m(wing)c(are)j
28743 (switc)m(hed)i(on:)54 b(d,)40 b(u,)g(s,)g(c,)f(b,)h(e)3197
28744 3304 y Fk(\000)3257 3340 y Fw(,)f Fj(\027)3371 3355 y
28745 Fl(e)3407 3340 y Fw(,)g Fj(\026)3532 3304 y Fk(\000)3591
28746 3340 y Fw(,)h Fj(\027)3706 3355 y Fh(\026)3752 3340 y
28747 Fw(,)709 3448 y Fj(\034)762 3412 y Fk(\000)821 3448 y
28748 Fw(,)30 b Fj(\027)926 3463 y Fh(\034)970 3448 y Fw(,)g(g)q(,)g
28749 Fj(\015)5 b Fw(,)30 b(Z)1307 3412 y Fl(0)1346 3448 y
28750 Fw(,)g(W)1504 3412 y Fl(+)1593 3448 y Fw(and)f(their)g(an)m
28751 (tiparticles.)41 b(In)29 b(particular,)g(top)g(is)g(o\013,)g(and)709
28752 3557 y(has)k(to)f(b)s(e)h(switc)m(hed)g(on)g(explicitly)e(if)g(needed.)
28753 0 3719 y Fq(CKIN)52 b(:)165 b Fw(kinematics)31 b(cuts)h(that)f(can)g(b)
28754 s(e)h(set)g(b)m(y)g(y)m(ou)g(b)s(efore)f(the)h Fq(PYINIT)h
28755 Fw(call,)d(and)h(that)g(a\013ect)472 3828 y(the)39 b(region)f(of)g
28756 (phase)h(space)h(within)d(whic)m(h)j(ev)m(en)m(ts)g(are)f(generated.)62
28757 b(Some)38 b(cuts)h(are)472 3936 y(`hardwired')27 b(while)e(most)g(are)h
28758 (`soft)m(wired'.)41 b(The)27 b(hardwired)f(ones)h(are)f(directly)f
28759 (related)472 4044 y(to)34 b(the)g(kinematical)e(v)-5
28760 b(ariables)33 b(used)i(in)e(the)h(ev)m(en)m(t)i(selection)e(pro)s
28761 (cedure,)h(and)f(there-)472 4153 y(fore)29 b(ha)m(v)m(e)g(negligible)d
28762 (e\013ects)j(on)g(program)d(e\016ciency)-8 b(.)44 b(The)29
28763 b(most)f(imp)s(ortan)m(t)e(of)i(these)472 4261 y(are)i
28764 Fq(CKIN\(1\))53 b(-)f(CKIN\(8\))p Fw(,)32 b Fq(CKIN\(27\))53
28765 b(-)f(CKIN\(28\))p Fw(,)32 b(and)d Fq(CKIN\(31\))54 b(-)d(CKIN\(32\))p
28766 Fw(.)472 4369 y(The)32 b(soft)m(wired)e(ones)i(are)e(most)g(of)g(the)g
28767 (remaining)f(ones,)i(that)f(cannot)h(b)s(e)f(fully)f(tak)m(en)472
28768 4478 y(in)m(to)37 b(accoun)m(t)h(in)f(the)h(kinematical)d(v)-5
28769 b(ariable)35 b(selection,)k(so)e(that)g(generation)g(in)g(con-)472
28770 4586 y(strained)29 b(regions)g(of)f(phase)i(space)g(ma)m(y)f(b)s(e)g
28771 (slo)m(w.)43 b(In)29 b(extreme)h(cases)g(the)f(phase)h(space)472
28772 4694 y(ma)m(y)44 b(b)s(e)f(so)h(small)d(that)i(the)h(maximization)39
28773 b(pro)s(cedure)45 b(fails)c(to)i(\014nd)h(an)m(y)g(allo)m(w)m(ed)472
28774 4803 y(p)s(oin)m(ts)e(at)g(all)e(\(although)h(some)g(small)f(region)h
28775 (migh)m(t)g(still)e(exist)k(somewhere\),)i(and)472 4911
28776 y(therefore)34 b(switc)m(hes)g(o\013)e(some)g(subpro)s(cesses,)k(or)c
28777 (ab)s(orts)h(altogether.)0 5031 y Fq(CKIN\(1\),)53 b(CKIN\(2\))h(:)47
28778 b Fw(\(D=2.,-1.)c(GeV\))32 b(range)h(of)f(allo)m(w)m(ed)51
28779 b(^)-68 b Fj(m)29 b Fw(=)2619 4947 y Fn(p)p 2702 4947
28780 46 4 v 2706 5031 a Fw(^)-53 b Fj(s)32 b Fw(v)-5 b(alues.)44
28781 b(If)c Fq(CKIN\(2\))p Fj(<)30 b Fw(0)p Fj(:)p Fw(,)472
28782 5140 y(the)j(upp)s(er)h(limit)29 b(is)j(inactiv)m(e.)0
28783 5248 y Fq(CKIN\(3\),)53 b(CKIN\(4\))h(:)47 b Fw(\(D=0.,-1.)64
28784 b(GeV\))40 b(range)g(of)f(allo)m(w)m(ed)48 b(^)-57 b
28785 Fj(p)2501 5263 y Fk(?)2599 5248 y Fw(v)-5 b(alues)40
28786 b(for)g(hard)g(2)g Fn(!)f Fw(2)h(pro-)472 5356 y(cesses,)47
28787 b(with)41 b(transv)m(erse)j(momen)m(tum)k(^)-57 b Fj(p)2061
28788 5371 y Fk(?)2161 5356 y Fw(de\014ned)43 b(in)e(the)h(rest)g(frame)e(of)
28789 h(the)h(hard)472 5465 y(in)m(teraction.)f(If)36 b Fq(CKIN\(4\))p
28790 Fj(<)29 b Fw(0)p Fj(:)p Fw(,)g(the)g(upp)s(er)g(limit)24
28791 b(is)k(inactiv)m(e.)42 b(F)-8 b(or)27 b(pro)s(cesses)j(that)e(are)472
28792 5573 y(singular)38 b(in)g(the)h(limit)44 b(^)-57 b Fj(p)1431
28793 5588 y Fk(?)1528 5573 y Fn(!)38 b Fw(0)h(\(see)h Fq(CKIN\(6\))p
28794 Fw(\),)i Fq(CKIN\(5\))f Fw(pro)m(vides)f(an)e(additional)1817
28795 5953 y(145)p eop
28796 %%Page: 146 152
28797 146 151 bop 472 -18 a Fw(constrain)m(t.)54 b(The)37 b
28798 Fq(CKIN\(3\))g Fw(and)f Fq(CKIN\(4\))i Fw(limits)33 b(can)j(also)f(b)s
28799 (e)h(used)h(in)f(2)d Fn(!)g Fw(1)g Fn(!)g Fw(2)472 90
28800 y(pro)s(cesses.)44 b(Here,)30 b(ho)m(w)m(ev)m(er,)h(the)d(pro)s(duct)g
28801 (masses)g(are)g(not)f(kno)m(wn)i(and)f(hence)h(are)f(as-)472
28802 198 y(sumed)j(to)f(b)s(e)h(v)-5 b(anishing)29 b(in)g(the)i(ev)m(en)m(t)
28803 h(selection.)42 b(The)32 b(actual)d Fj(p)2954 213 y Fk(?)3043
28804 198 y Fw(range)i(for)e(massiv)m(e)472 307 y(pro)s(ducts)34
28805 b(is)e(th)m(us)h(shifted)g(do)m(wn)m(w)m(ards)i(with)d(resp)s(ect)i(to)
28806 e(the)h(nominal)d(one.)0 415 y Fq(CKIN\(5\))53 b(:)48
28807 b Fw(\(D=1.)40 b(GeV\))27 b(lo)m(w)m(er)g(cut-o\013)f(on)35
28808 b(^)-57 b Fj(p)1800 430 y Fk(?)1885 415 y Fw(v)-5 b(alues,)28
28809 b(in)e(addition)f(to)i(the)g Fq(CKIN\(3\))h Fw(cut)g(ab)s(o)m(v)m(e,)
28810 472 523 y(for)k(pro)s(cesses)j(that)d(are)h(singular)e(in)h(the)h
28811 (limit)k(^)-57 b Fj(p)2350 538 y Fk(?)2437 523 y Fn(!)27
28812 b Fw(0)32 b(\(see)i Fq(CKIN\(6\))p Fw(\).)0 632 y Fq(CKIN\(6\))53
28813 b(:)48 b Fw(\(D=1.)j(GeV\))35 b(hard)h(2)c Fn(!)g Fw(2)j(pro)s(cesses,)
28814 j(whic)m(h)e(do)g(not)f(pro)s(ceed)h(only)f(via)g(an)g(in)m(ter-)472
28815 740 y(mediate)d(resonance)j(\(i.e.)44 b(are)33 b(2)c
28816 Fn(!)f Fw(1)g Fn(!)g Fw(2)33 b(pro)s(cesses\),)i(are)e(classi\014ed)g
28817 (as)h(singular)d(in)472 848 y(the)37 b(limit)k(^)-58
28818 b Fj(p)929 863 y Fk(?)1022 848 y Fn(!)33 b Fw(0)j(if)f(either)h(or)g(b)
28819 s(oth)f(of)h(the)g(t)m(w)m(o)h(\014nal-state)e(pro)s(ducts)i(has)g(a)f
28820 (mass)472 957 y Fj(m)28 b(<)p Fq(CKIN\(6\))p Fw(.)0 1065
28821 y Fq(CKIN\(7\),)53 b(CKIN\(8\))h(:)47 b Fw(\(D=-10.,10.\))42
28822 b(range)33 b(of)g(allo)m(w)m(ed)f(scattering)h(subsystem)h(rapidities)d
28823 Fj(y)h Fw(=)472 1173 y Fj(y)524 1137 y Fk(\003)599 1173
28824 y Fw(in)j(the)h(c.m.)54 b(frame)35 b(of)g(the)i(ev)m(en)m(t,)h(where)f
28825 Fj(y)g Fw(=)c(\(1)p Fj(=)p Fw(2\))17 b(ln)n(\()p Fj(x)2863
28826 1188 y Fl(1)2903 1173 y Fj(=x)3007 1188 y Fl(2)3047 1173
28827 y Fw(\).)53 b(\(F)-8 b(ollo)m(wing)33 b(the)472 1282
28828 y(notation)f(of)h(this)g(section,)g(the)h(v)-5 b(ariable)31
28829 b(should)i(b)s(e)g(giv)m(en)g(as)h Fj(y)2925 1245 y Fk(\003)2963
28830 1282 y Fw(,)g(but)f(b)s(ecause)h(of)f(its)472 1390 y(frequen)m(t)i
28831 (use,)e(it)f(w)m(as)h(called)f Fj(y)j Fw(in)d(section)h(7.2.\))0
28832 1498 y Fq(CKIN\(9\),)53 b(CKIN\(10\))h(:)47 b Fw(\(D=-10.,10.\))70
28833 b(range)43 b(of)e(allo)m(w)m(ed)h(\(true\))g(rapidities)e(for)i(the)g
28834 (pro)s(duct)472 1607 y(with)36 b(largest)e(rapidit)m(y)h(in)g(a)g(2)d
28835 Fn(!)g Fw(2)k(or)f(a)g(2)d Fn(!)h Fw(1)f Fn(!)g Fw(2)k(pro)s(cess,)h
28836 (de\014ned)g(in)e(the)h(c.m.)472 1715 y(frame)42 b(of)h(the)g(ev)m(en)m
28837 (t,)k(i.e.)74 b(max)o(\()p Fj(y)1823 1679 y Fk(\003)1819
28838 1740 y Fl(3)1862 1715 y Fj(;)17 b(y)1958 1679 y Fk(\003)1954
28839 1740 y Fl(4)1996 1715 y Fw(\).)74 b(Note)43 b(that)f(rapidities)f(are)i
28840 (coun)m(ted)h(with)472 1823 y(sign,)33 b(i.e.)43 b(if)31
28841 b Fj(y)1010 1787 y Fk(\003)1006 1848 y Fl(3)1076 1823
28842 y Fw(=)d(1)k(and)h Fj(y)1503 1787 y Fk(\003)1499 1848
28843 y Fl(4)1569 1823 y Fw(=)28 b Fn(\000)p Fw(2)k(then)i(max)o(\()p
28844 Fj(y)2325 1787 y Fk(\003)2321 1848 y Fl(3)2364 1823 y
28845 Fj(;)17 b(y)2460 1787 y Fk(\003)2456 1848 y Fl(4)2498
28846 1823 y Fw(\))28 b(=)f(1.)0 1932 y Fq(CKIN\(11\),)54 b(CKIN\(12\))f(:)48
28847 b Fw(\(D=-10.,10.\))85 b(range)47 b(of)g(allo)m(w)m(ed)g(\(true\))g
28848 (rapidities)f(for)g(the)i(pro)s(d-)472 2040 y(uct)h(with)f(smallest)e
28849 (rapidit)m(y)h(in)h(a)g(2)53 b Fn(!)h Fw(2)48 b(or)g(a)g(2)53
28850 b Fn(!)h Fw(1)g Fn(!)g Fw(2)48 b(pro)s(cess,)53 b(de\014ned)472
28851 2148 y(in)42 b(the)i(c.m.)73 b(frame)42 b(of)g(the)i(ev)m(en)m(t,)j
28852 (i.e.)73 b(min)o(\()p Fj(y)2359 2112 y Fk(\003)2355 2173
28853 y Fl(3)2397 2148 y Fj(;)17 b(y)2493 2112 y Fk(\003)2489
28854 2173 y Fl(4)2532 2148 y Fw(\).)73 b(Consistency)45 b(th)m(us)f
28855 (requires)472 2257 y Fq(CKIN\(11\))p Fn(\024)p Fq(CKIN\(9\))37
28856 b Fw(and)c Fq(CKIN\(12\))p Fn(\024)p Fq(CKIN\(10\))p
28857 Fw(.)0 2365 y Fq(CKIN\(13\),)54 b(CKIN\(14\))f(:)48 b
28858 Fw(\(D=-10.,10.\))k(range)36 b(of)g(allo)m(w)m(ed)f(pseudorapidities)h
28859 (for)g(the)g(pro)s(duct)472 2473 y(with)k(largest)f(pseudorapidit)m(y)h
28860 (in)f(a)g(2)h Fn(!)g Fw(2)f(or)h(a)f(2)h Fn(!)f Fw(1)h
28861 Fn(!)g Fw(2)f(pro)s(cess,)k(de\014ned)e(in)472 2582 y(the)c(c.m.)53
28862 b(frame)35 b(of)h(the)g(ev)m(en)m(t,)j(i.e.)53 b(max\()p
28863 Fj(\021)2178 2546 y Fk(\003)2174 2606 y Fl(3)2217 2582
28864 y Fj(;)17 b(\021)2313 2546 y Fk(\003)2309 2606 y Fl(4)2352
28865 2582 y Fw(\).)53 b(Note)36 b(that)g(pseudorapidities)f(are)472
28866 2690 y(coun)m(ted)f(with)e(sign,)h(i.e.)43 b(if)31 b
28867 Fj(\021)1598 2654 y Fk(\003)1594 2715 y Fl(3)1665 2690
28868 y Fw(=)c(1)33 b(and)f Fj(\021)2091 2654 y Fk(\003)2087
28869 2715 y Fl(4)2158 2690 y Fw(=)c Fn(\000)p Fw(2)k(then)i(max)o(\()p
28870 Fj(\021)2914 2654 y Fk(\003)2910 2715 y Fl(3)2953 2690
28871 y Fj(;)17 b(\021)3049 2654 y Fk(\003)3045 2715 y Fl(4)3088
28872 2690 y Fw(\))28 b(=)f(1.)0 2798 y Fq(CKIN\(15\),)54 b(CKIN\(16\))f(:)48
28873 b Fw(\(D=-10.,10.\))k(range)36 b(of)g(allo)m(w)m(ed)f(pseudorapidities)
28874 h(for)g(the)g(pro)s(duct)472 2907 y(with)43 b(smallest)e(pseudorapidit)
28875 m(y)i(in)f(a)g(2)j Fn(!)g Fw(2)d(or)h(a)f(2)j Fn(!)g
28876 Fw(1)f Fn(!)h Fw(2)d(pro)s(cess,)47 b(de\014ned)472 3015
28877 y(in)42 b(the)h(c.m.)74 b(frame)42 b(of)g(the)h(ev)m(en)m(t,)k(i.e.)73
28878 b(min)o(\()p Fj(\021)2358 2979 y Fk(\003)2354 3040 y
28879 Fl(3)2397 3015 y Fj(;)17 b(\021)2493 2979 y Fk(\003)2489
28880 3040 y Fl(4)2532 3015 y Fw(\).)74 b(Consistency)44 b(th)m(us)g
28881 (requires)472 3123 y Fq(CKIN\(15\))p Fn(\024)p Fq(CKIN\(13\))38
28882 b Fw(and)32 b Fq(CKIN\(16\))p Fn(\024)p Fq(CKIN\(14\))p
28883 Fw(.)0 3232 y Fq(CKIN\(17\),)54 b(CKIN\(18\))f(:)48 b
28884 Fw(\(D=-1.,1.\))61 b(range)39 b(of)g(allo)m(w)m(ed)f(cos)18
28885 b Fj(\022)2512 3196 y Fk(\003)2590 3232 y Fw(v)-5 b(alues)39
28886 b(for)g(the)g(pro)s(duct)h(with)472 3340 y(largest)e(cos)17
28887 b Fj(\022)988 3304 y Fk(\003)1067 3340 y Fw(v)-5 b(alue)38
28888 b(in)f(a)i(2)e Fn(!)h Fw(2)g(or)g(a)g(2)g Fn(!)f Fw(1)h
28889 Fn(!)f Fw(2)i(pro)s(cess,)i(de\014ned)f(in)e(the)h(c.m.)472
28890 3448 y(frame)32 b(of)g(the)h(ev)m(en)m(t,)i(i.e.)43 b(max)o(\(cos)17
28891 b Fj(\022)1892 3412 y Fk(\003)1889 3473 y Fl(3)1932 3448
28892 y Fj(;)g Fw(cos)g Fj(\022)2171 3412 y Fk(\003)2168 3473
28893 y Fl(4)2211 3448 y Fw(\).)0 3557 y Fq(CKIN\(19\),)54
28894 b(CKIN\(20\))f(:)48 b Fw(\(D=-1.,1.\))61 b(range)39 b(of)g(allo)m(w)m
28895 (ed)f(cos)18 b Fj(\022)2512 3521 y Fk(\003)2590 3557
28896 y Fw(v)-5 b(alues)39 b(for)g(the)g(pro)s(duct)h(with)472
28897 3665 y(smallest)k(cos)18 b Fj(\022)1056 3629 y Fk(\003)1141
28898 3665 y Fw(v)-5 b(alue)45 b(in)f(a)i(2)j Fn(!)h Fw(2)45
28899 b(or)g(a)g(2)50 b Fn(!)f Fw(1)h Fn(!)f Fw(2)c(pro)s(cess,)50
28900 b(de\014ned)d(in)e(the)472 3774 y(c.m.)77 b(frame)43
28901 b(of)g(the)h(ev)m(en)m(t,)k(i.e.)76 b(min)o(\(cos)17
28902 b Fj(\022)2209 3737 y Fk(\003)2206 3798 y Fl(3)2249 3774
28903 y Fj(;)g Fw(cos)f Fj(\022)2487 3737 y Fk(\003)2484 3798
28904 y Fl(4)2527 3774 y Fw(\).)77 b(Consistency)45 b(th)m(us)g(requires)472
28905 3882 y Fq(CKIN\(19\))p Fn(\024)p Fq(CKIN\(17\))38 b Fw(and)32
28906 b Fq(CKIN\(20\))p Fn(\024)p Fq(CKIN\(18\))p Fw(.)0 3990
28907 y Fq(CKIN\(21\),)54 b(CKIN\(22\))f(:)48 b Fw(\(D=0.,1.\))66
28908 b(range)41 b(of)f(allo)m(w)m(ed)g Fj(x)2348 4005 y Fl(1)2429
28909 3990 y Fw(v)-5 b(alues)41 b(for)f(the)h(parton)f(on)h(side)g(1)472
28910 4099 y(that)33 b(en)m(ters)h(the)f(hard)f(in)m(teraction.)0
28911 4207 y Fq(CKIN\(23\),)54 b(CKIN\(24\))f(:)48 b Fw(\(D=0.,1.\))66
28912 b(range)41 b(of)f(allo)m(w)m(ed)g Fj(x)2348 4222 y Fl(2)2429
28913 4207 y Fw(v)-5 b(alues)41 b(for)f(the)h(parton)f(on)h(side)g(2)472
28914 4315 y(that)33 b(en)m(ters)h(the)f(hard)f(in)m(teraction.)0
28915 4424 y Fq(CKIN\(25\),)54 b(CKIN\(26\))f(:)48 b Fw(\(D=-1.,1.\))40
28916 b(range)28 b(of)f(allo)m(w)m(ed)h(F)-8 b(eynman-)p Fj(x)27
28917 b Fw(v)-5 b(alues,)29 b(where)h Fj(x)3413 4439 y Fl(F)3491
28918 4424 y Fw(=)d Fj(x)3649 4439 y Fl(1)3702 4424 y Fn(\000)472
28919 4532 y Fj(x)527 4547 y Fl(2)567 4532 y Fw(.)0 4651 y
28920 Fq(CKIN\(27\),)54 b(CKIN\(28\))f(:)48 b Fw(\(D=-1.,1.\))40
28921 b(range)28 b(of)f(allo)m(w)m(ed)g(cos)2416 4624 y(^)2409
28922 4651 y Fj(\022)k Fw(v)-5 b(alues)27 b(in)g(a)h(hard)g(2)f
28923 Fn(!)h Fw(2)f(scatter-)472 4779 y(ing,)32 b(where)952
28924 4753 y(^)944 4779 y Fj(\022)k Fw(is)c(the)h(scattering)f(angle)g(in)g
28925 (the)h(rest)g(frame)e(of)i(the)g(hard)f(in)m(teraction.)0
28926 4899 y Fq(CKIN\(31\),)54 b(CKIN\(32\))f(:)48 b Fw(\(D=2.,-1.)j(GeV\))36
28927 b(range)f(of)h(allo)m(w)m(ed)53 b(^)-67 b Fj(m)2610 4863
28928 y Fk(0)2666 4899 y Fw(=)2775 4815 y Fn(p)p 2858 4815
28929 70 4 v 2862 4899 a Fw(^)-53 b Fj(s)2904 4871 y Fk(0)2963
28930 4899 y Fw(v)-5 b(alues,)37 b(where)55 b(^)-67 b Fj(m)3655
28931 4863 y Fk(0)3714 4899 y Fw(is)472 5008 y(the)40 b(mass)f(of)g(the)h
28932 (complete)e(three-)i(or)e(four-b)s(o)s(dy)h(\014nal)f(state)i(in)e(2)h
28933 Fn(!)g Fw(3)g(or)f(2)h Fn(!)g Fw(4)472 5116 y(pro)s(cesses)46
28934 b(\(while)60 b(^)-67 b Fj(m)p Fw(,)46 b(constrained)d(in)g
28935 Fq(CKIN\(1\))h Fw(and)g Fq(CKIN\(2\))p Fw(,)j(here)d(corresp)s(onds)472
28936 5224 y(to)35 b(the)g(one-)g(or)g(t)m(w)m(o-b)s(o)s(dy)g(cen)m(tral)g
28937 (system\).)51 b(If)42 b Fq(CKIN\(32\))p Fj(<)33 b Fw(0)p
28938 Fj(:)p Fw(,)j(the)f(upp)s(er)h(limit)31 b(is)472 5333
28939 y(inactiv)m(e.)0 5441 y Fq(CKIN\(35\),)54 b(CKIN\(36\))f(:)48
28940 b Fw(\(D=0.,-1.)43 b(GeV)1710 5405 y Fl(2)1749 5441 y
28941 Fw(\))33 b(range)g(of)g(allo)m(w)m(ed)f Fn(j)2574 5423
28942 y Fw(^)2573 5441 y Fj(t)p Fn(j)c Fw(=)g Fn(\000)2846
28943 5423 y Fw(^)2845 5441 y Fj(t)34 b Fw(v)-5 b(alues)33
28944 b(in)f(2)c Fn(!)g Fw(2)33 b(pro-)472 5550 y(cesses.)46
28945 b(Note)30 b(that)f(for)h(deep)g(inelastic)f(scattering)g(this)h(is)f
28946 (nothing)g(but)i(the)f Fj(Q)3482 5513 y Fl(2)3551 5550
28947 y Fw(scale,)472 5658 y(in)24 b(the)h(limit)d(that)i(initial-)d(and)j
28948 (\014nal-state)g(radiation)f(is)h(neglected.)41 b(If)32
28949 b Fq(CKIN\(36\))p Fj(<)e Fw(0)p Fj(:)p Fw(,)1817 5953
28950 y(146)p eop
28951 %%Page: 147 153
28952 147 152 bop 472 -18 a Fw(the)33 b(upp)s(er)h(limit)29
28953 b(is)j(inactiv)m(e.)0 90 y Fq(CKIN\(37\),)54 b(CKIN\(38\))f(:)48
28954 b Fw(\(D=0.,-1.)72 b(GeV)1739 54 y Fl(2)1779 90 y Fw(\))43
28955 b(range)g(of)f(allo)m(w)m(ed)g Fn(j)6 b Fw(^)-55 b Fj(u)o
28956 Fn(j)45 b Fw(=)g Fn(\000)6 b Fw(^)-55 b Fj(u)43 b Fw(v)-5
28957 b(alues)43 b(in)f(2)j Fn(!)g Fw(2)472 198 y(pro)s(cesses.)h(If)39
28958 b Fq(CKIN\(38\))p Fj(<)30 b Fw(0)p Fj(:)p Fw(,)j(the)g(upp)s(er)g
28959 (limit)c(is)j(inactiv)m(e.)0 307 y Fq(CKIN\(39\),)54
28960 b(CKIN\(40\))f(:)48 b Fw(\(D=4.,)40 b(-1.)64 b(GeV)1771
28961 270 y Fl(2)1810 307 y Fw(\))40 b(the)f Fj(W)2168 270
28962 y Fl(2)2247 307 y Fw(range)h(allo)m(w)m(ed)e(in)h(DIS)g(pro)s(cesses,)
28963 44 b(i.e.)472 415 y(subpro)s(cess)34 b(n)m(um)m(b)s(er)e(10.)42
28964 b(If)d Fq(CKIN\(40\))p Fj(<)29 b Fw(0)p Fj(:)p Fw(,)j(the)g(upp)s(er)g
28965 (limit)c(is)j(inactiv)m(e.)42 b(Here)32 b Fj(W)3740 379
28966 y Fl(2)472 523 y Fw(is)f(de\014ned)h(in)e(terms)h(of)g
28967 Fj(W)1501 487 y Fl(2)1567 523 y Fw(=)d Fj(Q)1748 487
28968 y Fl(2)1788 523 y Fw(\(1)18 b Fn(\000)i Fj(x)p Fw(\))p
28969 Fj(=x)p Fw(.)43 b(This)31 b(form)m(ula)e(is)i(not)f(quite)h(correct,)h
28970 (in)472 632 y(that)j Fi(\(i\))i Fw(it)d(neglects)h(the)g(target)f(mass)
28971 g(\(for)g(a)g(proton\),)h(and)g Fi(\(ii\))i Fw(it)d(neglects)h
28972 (initial-)472 740 y(state)29 b(photon)f(radiation)e(o\013)i(the)h
28973 (incoming)d(electron.)42 b(It)28 b(should)h(b)s(e)f(go)s(o)s(d)f
28974 (enough)i(for)472 848 y(lo)s(ose)j(cuts,)i(ho)m(w)m(ev)m(er.)0
28975 957 y Fq(CKIN\(41\))53 b(-)f(CKIN\(44\))h(:)48 b Fw
28976 (\(D=12.,-1.,12.,-1.)75 b(GeV\))44 b(range)f(of)h(allo)m(w)m(ed)f(mass)
28977 h(v)-5 b(alues)44 b(of)f(the)472 1065 y(t)m(w)m(o)30
28978 b(\(or)e(one\))i(resonances)g(pro)s(duced)g(in)e(a)h(`true')g(2)f
28979 Fn(!)f Fw(2)i(pro)s(cess,)h(i.e.)42 b(one)29 b(not)g(\(only\))472
28980 1173 y(pro)s(ceeding)j(through)g(a)g(single)f Fj(s)p
28981 Fw(-c)m(hannel)h(resonance)i(\(2)27 b Fn(!)g Fw(1)h Fn(!)f
28982 Fw(2\).)43 b(\(These)34 b(are)e(the)472 1282 y(ones)i(listed)e(as)h(2)c
28983 Fn(!)f Fw(2)k(in)h(the)g(tables)g(in)f(section)h(8.1.\))45
28984 b(Only)32 b(particles)g(with)h(a)g(width)472 1390 y(ab)s(o)m(v)m(e)e
28985 Fq(PARP\(41\))h Fw(are)e(considered)h(as)f(b)s(ona)f(\014de)i
28986 (resonances)g(and)f(tested)h(against)e(the)472 1498 y
28987 Fq(CKIN)36 b Fw(limits;)c(particles)i(with)g(a)g(smaller)f(width)h(are)
28988 h(put)f(on)h(the)g(mass)f(shell)g(without)472 1607 y(applying)e(an)m(y)
28989 h(cuts.)45 b(The)33 b(exact)h(in)m(terpretation)d(of)h(the)h
28990 Fq(CKIN)h Fw(v)-5 b(ariables)31 b(dep)s(ends)k(on)472
28991 1715 y(the)e(\015a)m(v)m(ours)h(of)e(the)h(t)m(w)m(o)h(pro)s(duced)f
28992 (resonances.)472 1823 y(F)-8 b(or)41 b(t)m(w)m(o)h(resonances)h(lik)m
28993 (e)d(Z)1588 1787 y Fl(0)1627 1823 y Fw(W)1728 1787 y
28994 Fl(+)1829 1823 y Fw(\(pro)s(duced)i(from)e(\013)2604
28995 1787 y Fk(0)2670 1823 y Fn(!)i Fw(Z)2872 1787 y Fl(0)2911
28996 1823 y Fw(W)3012 1787 y Fl(+)3071 1823 y Fw(\),)i(whic)m(h)d(are)h(not)
28997 472 1932 y(iden)m(tical)31 b(and)i(whic)m(h)g(are)g(not)f(eac)m(h)i
28998 (other's)f(an)m(tiparticles,)e(one)i(has)472 2040 y Fq(CKIN\(41\))p
28999 Fj(<)d(m)1071 2055 y Fl(1)1139 2040 y Fj(<)p Fq(CKIN\(42\))p
29000 Fw(,)k(and)472 2148 y Fq(CKIN\(43\))p Fj(<)c(m)1071 2163
29001 y Fl(2)1139 2148 y Fj(<)p Fq(CKIN\(44\))p Fw(,)472 2257
29002 y(where)44 b Fj(m)849 2272 y Fl(1)930 2257 y Fw(and)e
29003 Fj(m)1214 2272 y Fl(2)1296 2257 y Fw(are)g(the)g(actually)f(generated)h
29004 (masses)h(of)f(the)g(t)m(w)m(o)h(resonances,)472 2365
29005 y(and)29 b(1)f(and)h(2)f(are)g(de\014ned)i(b)m(y)f(the)g(order)g(in)e
29006 (whic)m(h)i(they)h(are)e(giv)m(en)h(in)e(the)i(pro)s(duction)472
29007 2473 y(pro)s(cess)34 b(sp)s(eci\014cation.)472 2582 y(F)-8
29008 b(or)35 b(t)m(w)m(o)h(resonances)i(lik)m(e)d(Z)1566 2546
29009 y Fl(0)1605 2582 y Fw(Z)1665 2546 y Fl(0)1704 2582 y
29010 Fw(,)h(whic)m(h)g(are)g(iden)m(tical,)e(or)h(W)2861 2546
29011 y Fl(+)2921 2582 y Fw(W)3022 2546 y Fk(\000)3082 2582
29012 y Fw(,)h(whic)m(h)g(are)g(eac)m(h)472 2690 y(other's)e(an)m
29013 (tiparticles,)d(one)i(instead)f(has)472 2798 y Fq(CKIN\(41\))p
29014 Fj(<)e Fw(min)o(\()p Fj(m)1272 2813 y Fl(1)1311 2798
29015 y Fj(;)17 b(m)1440 2813 y Fl(2)1480 2798 y Fw(\))27 b
29016 Fj(<)p Fq(CKIN\(42\))p Fw(,)35 b(and)472 2907 y Fq(CKIN\(43\))p
29017 Fj(<)30 b Fw(max\()p Fj(m)1291 2922 y Fl(1)1330 2907
29018 y Fj(;)17 b(m)1459 2922 y Fl(2)1499 2907 y Fw(\))27 b
29019 Fj(<)p Fq(CKIN\(44\))p Fw(.)472 3015 y(In)h(addition,)f(whatev)m(er)i
29020 (limits)24 b(are)k(set)g(on)f Fq(CKIN\(1\))i Fw(and,)g(in)e
29021 (particular,)f(on)i Fq(CKIN\(2\))472 3123 y Fw(ob)m(viously)33
29022 b(a\013ect)g(the)g(masses)g(actually)e(selected.)236
29023 3232 y Fo(Note)37 b(1:)110 b Fw(If)32 b Fq(MSTP\(42\)=0)p
29024 Fw(,)d(so)d(that)f(no)g(mass)g(smearing)f(is)h(allo)m(w)m(ed,)h(the)g
29025 Fq(CKIN)g Fw(v)-5 b(alues)25 b(ha)m(v)m(e)709 3340 y(no)32
29026 b(e\013ect)i(\(the)f(same)f(as)h(for)f(particles)f(with)i(to)s(o)e
29027 (narro)m(w)i(a)g(width\).)236 3448 y Fo(Note)k(2:)110
29028 b Fw(If)54 b Fq(CKIN\(42\))p Fj(<)p Fq(CKIN\(41\))d Fw(it)46
29029 b(means)h(that)g(the)g Fq(CKIN\(42\))j Fw(limit)43 b(is)k(inactiv)m(e;)
29030 709 3557 y(corresp)s(ondingly)-8 b(,)32 b(if)38 b Fq(CKIN\(44\))p
29031 Fj(<)p Fq(CKIN\(43\))f Fw(then)c Fq(CKIN\(44\))i Fw(is)d(inactiv)m(e.)
29032 236 3665 y Fo(Note)37 b(3:)110 b Fw(If)40 b(limits)d(are)j(activ)m(e)g
29033 (and)g(the)h(resonances)h(are)e(iden)m(tical,)g(it)f(is)h(up)g(to)g(y)m
29034 (ou)h(to)709 3774 y(ensure)34 b(that)e Fq(CKIN\(41\))p
29035 Fn(\024)p Fq(CKIN\(43\))37 b Fw(and)c Fq(CKIN\(42\))p
29036 Fn(\024)p Fq(CKIN\(44\))p Fw(.)236 3882 y Fo(Note)k(4:)110
29037 b Fw(F)-8 b(or)33 b(iden)m(tical)g(resonances,)38 b(it)33
29038 b(is)h(not)h(p)s(ossible)f(to)g(preselect)i(whic)m(h)f(of)f(the)h(res-)
29039 709 3990 y(onances)h(is)e(the)h(ligh)m(ter)f(one;)i(if,)f(for)f
29040 (instance,)i(one)f(Z)2785 3954 y Fl(0)2859 3990 y Fw(is)f(to)h(deca)m
29041 (y)h(to)e(leptons)709 4099 y(and)40 b(the)i(other)e(to)h(quarks,)j
29042 (there)d(is)f(no)h(mec)m(hanism)f(to)g(guaran)m(tee)i(that)e(the)709
29043 4207 y(lepton)32 b(pair)f(has)i(a)g(mass)f(smaller)f(than)h(the)h
29044 (quark)h(one.)236 4315 y Fo(Note)j(5:)110 b Fw(The)25
29045 b Fq(CKIN)f Fw(v)-5 b(alues)24 b(are)g(applied)f(to)h(all)e(relev)-5
29046 b(an)m(t)23 b(2)28 b Fn(!)f Fw(2)d(pro)s(cesses)i(equally)-8
29047 b(,)25 b(whic)m(h)709 4424 y(ma)m(y)35 b(not)g(b)s(e)h(what)g(one)g
29048 (desires)g(if)e(sev)m(eral)i(pro)s(cesses)i(are)e(generated)g(sim)m
29049 (ulta-)709 4532 y(neously)-8 b(.)58 b(Some)37 b(caution)g(is)g
29050 (therefore)h(urged)g(in)f(the)h(use)g(of)f(the)h Fq(CKIN\(41\))53
29051 b(-)709 4640 y(CKIN\(44\))33 b Fw(v)-5 b(alues.)43 b(Also)31
29052 b(in)f(other)i(resp)s(ects,)h(users)g(are)e(recommended)h(to)f(tak)m(e)
29053 709 4749 y(prop)s(er)e(care:)42 b(if)27 b(a)i(Z)1482
29054 4712 y Fl(0)1550 4749 y Fw(is)f(only)h(allo)m(w)m(ed)f(to)h(deca)m(y)h
29055 (in)m(to)e(b)p 2829 4669 55 4 v(b,)i(for)f(example,)g(setting)709
29056 4857 y(its)j(mass)g(range)h(to)f(b)s(e)h(2{8)f(GeV)g(is)g(ob)m(viously)
29057 h(not)f(a)g(go)s(o)s(d)g(idea.)236 4965 y Fo(Note)37
29058 b(6:)110 b Fw(In)46 b(principle,)i(the)f(mac)m(hinery)f(should)g(w)m
29059 (ork)h(for)f(an)m(y)h(2)j Fn(!)h Fw(2)45 b(pro)s(cess)j(with)709
29060 5074 y(resonances)g(in)e(the)h(\014nal)f(state,)k(but)d(so)g(far)f(it)f
29061 (has)i(only)f(b)s(een)h(c)m(hec)m(k)m(ed)j(for)709 5182
29062 y(pro)s(cesses)34 b(22{26,)e(so)h(also)e(from)h(this)g(p)s(oin)m(t)f
29063 (some)i(caution)f(is)g(urged.)0 5290 y Fq(CKIN\(45\))53
29064 b(-)f(CKIN\(48\))h(:)48 b Fw(\(D=12.,-1.,12.,-1.)38 b(GeV\))24
29065 b(range)g(of)g(allo)m(w)m(ed)f(mass)h(v)-5 b(alues)24
29066 b(of)f(the)i(t)m(w)m(o)472 5399 y(\(or)38 b(one\))h(secondary)g
29067 (resonances)h(pro)s(duced)g(in)d(a)h(2)f Fn(!)g Fw(1)g
29068 Fn(!)g Fw(2)h(pro)s(cess)h(\(lik)m(e)f(gg)g Fn(!)472
29069 5507 y Fw(H)545 5471 y Fl(0)613 5507 y Fn(!)27 b Fw(Z)800
29070 5471 y Fl(0)839 5507 y Fw(Z)899 5471 y Fl(0)938 5507
29071 y Fw(\))c(or)g(ev)m(en)i(a)e(2)28 b Fn(!)f Fw(2)g Fn(!)h
29072 Fw(4)23 b(\(or)g(3\))g(pro)s(cess)h(\(lik)m(e)f(q)p 2721
29073 5454 52 4 v(q)28 b Fn(!)g Fw(Z)2988 5471 y Fl(0)3027
29074 5507 y Fw(H)3100 5471 y Fl(0)3167 5507 y Fn(!)f Fw(Z)3354
29075 5471 y Fl(0)3393 5507 y Fw(W)3494 5471 y Fl(+)3554 5507
29076 y Fw(W)3655 5471 y Fk(\000)3714 5507 y Fw(\).)472 5615
29077 y(Note)j(that)f(these)i Fq(CKIN)g Fw(v)-5 b(alues)29
29078 b(only)g(a\013ect)h(the)g(secondary)g(resonances;)j(the)d(primary)1817
29079 5953 y(147)p eop
29080 %%Page: 148 154
29081 148 153 bop 472 -18 a Fw(ones)37 b(are)g(constrained)f(b)m(y)j
29082 Fq(CKIN\(1\))p Fw(,)g Fq(CKIN\(2\))f Fw(and)e Fq(CKIN\(41\))54
29083 b(-)d(CKIN\(44\))38 b Fw(\(indi-)472 90 y(rectly)-8 b(,)43
29084 b(of)c(course,)k(the)e(c)m(hoice)g(of)e(primary)g(resonance)j(masses)f
29085 (a\013ects)g(the)f(allo)m(w)m(ed)472 198 y(mass)c(range)g(for)f(the)h
29086 (secondary)h(ones\).)53 b(What)36 b(is)f(considered)i(to)e(b)s(e)h(a)f
29087 (resonance)i(is)472 307 y(de\014ned)42 b(b)m(y)g Fq(PARP\(41\))p
29088 Fw(;)k(particles)40 b(with)f(a)h(width)g(smaller)e(than)i(this)g(are)g
29089 (automat-)472 415 y(ically)e(put)i(on)g(the)g(mass)g(shell.)64
29090 b(The)41 b(description)e(closely)h(parallels)d(the)j(one)g(giv)m(en)472
29091 523 y(for)32 b Fq(CKIN\(41\))53 b(-)f(CKIN\(44\))p Fw(.)45
29092 b(Th)m(us,)34 b(for)e(t)m(w)m(o)h(resonances)g(that)f(are)g(not)g(iden)
29093 m(tical)f(or)472 632 y(eac)m(h)j(other's)f(an)m(tiparticles,)e(one)i
29094 (has)472 740 y Fq(CKIN\(45\))p Fj(<)d(m)1071 755 y Fl(1)1139
29095 740 y Fj(<)p Fq(CKIN\(46\))p Fw(,)k(and)472 848 y Fq(CKIN\(47\))p
29096 Fj(<)c(m)1071 863 y Fl(2)1139 848 y Fj(<)p Fq(CKIN\(48\))p
29097 Fw(,)472 957 y(where)44 b Fj(m)849 972 y Fl(1)930 957
29098 y Fw(and)e Fj(m)1214 972 y Fl(2)1296 957 y Fw(are)g(the)g(actually)f
29099 (generated)h(masses)h(of)f(the)g(t)m(w)m(o)h(resonances,)472
29100 1065 y(and)31 b(1)f(and)h(2)f(are)g(de\014ned)i(b)m(y)g(the)e(order)h
29101 (in)f(whic)m(h)h(they)g(giv)m(en)g(in)e(the)i(deca)m(y)h(c)m(hannel)472
29102 1173 y(sp)s(eci\014cation)27 b(in)g(the)h(program)e(\(see)j(e.g.)42
29103 b(output)28 b(from)e Fq(PYSTAT\(2\))k Fw(or)d Fq(LULIST\(12\))p
29104 Fw(\).)472 1282 y(F)-8 b(or)30 b(t)m(w)m(o)g(resonances)i(that)e(are)g
29105 (iden)m(tical)f(or)g(eac)m(h)i(other's)g(an)m(tiparticles,)e(one)h
29106 (instead)472 1390 y(has)472 1498 y Fq(CKIN\(45\))p Fj(<)g
29107 Fw(min)o(\()p Fj(m)1272 1513 y Fl(1)1311 1498 y Fj(;)17
29108 b(m)1440 1513 y Fl(2)1480 1498 y Fw(\))27 b Fj(<)p Fq(CKIN\(46\))p
29109 Fw(,)35 b(and)472 1607 y Fq(CKIN\(47\))p Fj(<)30 b Fw(max\()p
29110 Fj(m)1291 1622 y Fl(1)1330 1607 y Fj(;)17 b(m)1459 1622
29111 y Fl(2)1499 1607 y Fw(\))27 b Fj(<)p Fq(CKIN\(48\))p
29112 Fw(.)236 1715 y Fo(Notes)37 b(1)h(-)f(5:)48 b Fw(as)32
29113 b(for)h Fq(CKIN\(41\))53 b(-)e(CKIN\(44\))p Fw(,)35 b(with)d(trivial)e
29114 (mo)s(di\014cations.)236 1823 y Fo(Note)37 b(6:)110 b
29115 Fw(Setting)58 b(limits)f(on)i(secondary)h(resonance)h(masses)f(is)f(p)s
29116 (ossible)g(in)f(an)m(y)i(of)709 1932 y(the)48 b(c)m(hannels)h(of)f(the)
29117 h(allo)m(w)m(ed)e(t)m(yp)s(es)j(\(see)f(ab)s(o)m(v)m(e\).)91
29118 b(Ho)m(w)m(ev)m(er,)55 b(so)48 b(far)g(only)709 2040
29119 y(H)782 2004 y Fl(0)858 2040 y Fn(!)37 b Fw(Z)1055 2004
29120 y Fl(0)1094 2040 y Fw(Z)1154 2004 y Fl(0)1231 2040 y
29121 Fw(and)h(H)1499 2004 y Fl(0)1575 2040 y Fn(!)f Fw(W)1813
29122 2004 y Fl(+)1872 2040 y Fw(W)1973 2004 y Fk(\000)2071
29123 2040 y Fw(ha)m(v)m(e)i(b)s(een)g(fully)d(implemen)m(ted,)i(suc)m(h)i
29124 (that)709 2148 y(an)33 b(arbitrary)f(mass)i(range)f(b)s(elo)m(w)g(the)h
29125 (na)-11 b(\177)-38 b(\020v)m(e)34 b(mass)f(threshold)g(ma)m(y)h(b)s(e)f
29126 (pic)m(k)m(ed.)709 2257 y(F)-8 b(or)27 b(other)h(p)s(ossible)g
29127 (resonances,)j(an)m(y)e(restrictions)f(made)f(on)h(the)h(allo)m(w)m(ed)
29128 f(mass)709 2365 y(range)35 b(are)f(not)h(re\015ected)i(in)d(the)h
29129 (cross)h(section;)g(and)f(further)g(it)f(is)h(not)f(recom-)709
29130 2473 y(mendable)42 b(to)g(pic)m(k)h(mass)g(windo)m(ws)h(that)e(mak)m(e)
29131 h(a)g(deca)m(y)h(on)e(the)i(mass)e(shell)709 2582 y(imp)s(ossible.)f
29132 (These)34 b(limitations)29 b(will)h(b)s(e)j(relaxed)f(in)g(future)h(v)m
29133 (ersions.)0 2690 y Fq(CKIN\(51\))53 b(-)f(CKIN\(56\))h(:)48
29134 b Fw(\(D=0.,-1.,0.,-1.,0.,-1.)87 b(GeV\))48 b(range)h(of)e(allo)m(w)m
29135 (ed)h(transv)m(erse)i(mo-)472 2798 y(men)m(ta)25 b(in)f(a)h(true)g(2)j
29136 Fn(!)f Fw(3)d(pro)s(cess.)43 b(Curren)m(tly)25 b(t)m(w)m(o)h
29137 (di\013eren)m(t)f(alternativ)m(es)f(are)h(around.)472
29138 2907 y(F)-8 b(or)30 b(subpro)s(cess)j(131,)e(the)g Fj(p)1550
29139 2922 y Fk(?)1640 2907 y Fw(of)f(the)h(\014rst)h(pro)s(duct)f(\(the)g(Z)
29140 2743 2871 y Fl(0)2782 2907 y Fw(\))g(is)f(set)i(b)m(y)h
29141 Fq(CKIN\(3\))f Fw(and)472 3015 y Fq(CKIN\(4\))p Fw(,)j(while)d(for)g
29142 (the)h(quark)g(and)g(an)m(tiquark)f Fj(p)2419 3030 y
29143 Fk(?)2478 3015 y Fw('s)i(one)e(has)472 3123 y Fq(CKIN\(51\))p
29144 Fj(<)e Fw(min)o(\()p Fj(p)1236 3138 y Fk(?)p Fl(q)1332
29145 3123 y Fj(;)17 b(p)1425 3138 y Fk(?)p 1481 3100 38 4
29146 v Fl(q)1521 3123 y Fw(\))27 b Fj(<)p Fq(CKIN\(52\))p
29147 Fw(,)35 b(and)472 3232 y Fq(CKIN\(53\))p Fj(<)30 b Fw(max\()p
29148 Fj(p)1255 3247 y Fk(?)p Fl(q)1351 3232 y Fj(;)17 b(p)1444
29149 3247 y Fk(?)p 1500 3208 V Fl(q)1540 3232 y Fw(\))27 b
29150 Fj(<)p Fq(CKIN\(54\))p Fw(.)472 3340 y(Negativ)m(e)33
29151 b Fq(CKIN\(52\))h Fw(and)e Fq(CKIN\(54\))i Fw(v)-5 b(alues)32
29152 b(means)g(that)f(the)i(corresp)s(onding)f(limits)472
29153 3448 y(are)d(inactiv)m(e.)42 b(F)-8 b(or)29 b(subpro)s(cesses)j
29154 (121{124,)c(and)h(their)f(H)2654 3412 y Fk(0)p Fl(0)2742
29155 3448 y Fw(and)h(A)3001 3412 y Fl(0)3070 3448 y Fw(equiv)-5
29156 b(alen)m(ts)29 b(\(173,)472 3557 y(174,)39 b(178,)g(179,)g(181,)f(182,)
29157 h(186,)g(187\),)g Fq(CKIN\(51\))53 b(-)e(CKIN\(54\))41
29158 b Fw(again)36 b(corresp)s(onds)472 3665 y(to)e Fj(p)642
29159 3680 y Fk(?)735 3665 y Fw(ranges)g(for)g(scattered)h(partons,)g(but)f
29160 (in)f(order)i(of)e(app)s(earance,)i(i.e.)47 b Fq(CKIN\(51\))472
29161 3774 y(-)52 b(CKIN\(52\))32 b Fw(for)e(the)h(parton)f(scattered)i
29162 (o\013)e(the)g(b)s(eam)g(and)g Fq(CKIN\(53\))54 b(-)d(CKIN\(54\))472
29163 3882 y Fw(for)25 b(the)g(one)g(scattered)h(o\013)f(the)g(target.)41
29164 b Fq(CKIN\(55\))27 b Fw(and)e Fq(CKIN\(56\))i Fw(here)f(sets)g
29165 Fj(p)3457 3897 y Fk(?)3541 3882 y Fw(limits)472 3990
29166 y(for)38 b(the)h(third)e(pro)s(duct,)j(the)e(H)1696 3954
29167 y Fl(0)1736 3990 y Fw(,)i(i.e.)59 b(the)39 b Fq(CKIN\(3\))h
29168 Fw(and)e Fq(CKIN\(4\))i Fw(v)-5 b(alues)38 b(ha)m(v)m(e)i(no)472
29169 4099 y(e\013ect)29 b(for)f(this)f(pro)s(cess.)43 b(Since)28
29170 b(the)h Fj(p)1894 4114 y Fk(?)1981 4099 y Fw(of)e(the)h(Higgs)f(is)h
29171 (not)g(one)g(of)f(the)i(primary)d(v)-5 b(ari-)472 4207
29172 y(ables)30 b(selected,)h(an)m(y)f(constrain)m(ts)g(here)g(ma)m(y)f
29173 (mean)g(reduced)i(Mon)m(te)g(Carlo)d(e\016ciency)-8 b(,)472
29174 4315 y(while)30 b(for)g(these)h(pro)s(cesses)h Fq(CKIN\(51\))54
29175 b(-)d(CKIN\(54\))33 b Fw(are)d(`hardwired')h(and)f(therefore)472
29176 4424 y(do)j(not)f(cost)h(an)m(ything.)0 4697 y Fp(9.3)135
29177 b(The)45 b(General)g(Switc)l(hes)h(and)f(P)l(arameters)0
29178 4870 y Fw(The)e Fq(PYPARS)g Fw(common)e(blo)s(c)m(k)h(con)m(tains)g
29179 (the)g(status)h(co)s(de)f(and)g(parameters)g(that)g(regulate)f(the)0
29180 4979 y(p)s(erformance)25 b(of)g(the)h(program.)39 b(All)24
29181 b(of)h(them)g(are)g(pro)m(vided)h(with)f(sensible)h(default)e(v)-5
29182 b(alues,)27 b(so)f(that)0 5087 y(a)32 b(no)m(vice)h(user)h(can)f
29183 (neglect)f(them,)h(and)f(only)g(gradually)f(explore)i(the)g(full)e
29184 (range)h(of)g(p)s(ossibilities.)0 5195 y(Some)d(of)f(the)h(switc)m(hes)
29185 i(and)e(parameters)g(in)f Fq(PYPARS)j Fw(will)26 b(b)s(e)j(describ)s
29186 (ed)h(later,)f(in)f(the)i(sho)m(w)m(er)g(and)0 5304 y(b)s(eam)i(remnan)
29187 m(ts)h(sections.)p 0 5428 2876 9 v 0 5653 9 225 v 79
29188 5569 a Fq(COMMON/PYPARS/MSTP\(200\),)q(PARP)q(\(200)q(\),MS)q(TI\()q
29189 (200\))q(,PAR)q(I\(20)q(0\))p 2867 5653 V 0 5661 2876
29190 9 v 1817 5953 a Fw(148)p eop
29191 %%Page: 149 155
29192 149 154 bop 0 -18 a Fo(Purp)s(ose:)48 b Fw(to)30 b(giv)m(e)g(access)j
29193 (to)d(status)h(co)s(de)g(and)f(parameters)h(that)f(regulate)g(the)h(p)s
29194 (erformance)f(of)472 90 y(the)37 b(program.)51 b(If)35
29195 b(the)h(default)f(v)-5 b(alues,)37 b(denoted)f(b)s(elo)m(w)g(b)m(y)g
29196 (\(D=.)16 b(.)g(.)g(\),)37 b(are)f(not)f(satis-)472 198
29197 y(factory)-8 b(,)36 b(they)f(m)m(ust)g(in)f(general)g(b)s(e)h(c)m
29198 (hanged)g(b)s(efore)g(the)g Fq(PYINIT)h Fw(call.)48 b(Exceptions,)472
29199 307 y(i.e.)43 b(v)-5 b(ariables)32 b(that)g(can)h(b)s(e)g(c)m(hanged)g
29200 (for)f(eac)m(h)i(new)f(ev)m(en)m(t,)i(are)e(denoted)g(b)m(y)h(\(C\).)0
29201 415 y Fq(MSTP\(1\))53 b(:)48 b Fw(\(D=3\))31 b(maxim)m(um)f(n)m(um)m(b)
29202 s(er)j(of)f(generations.)44 b(Automatically)29 b(set)34
29203 b Fn(\024)28 b Fw(4.)0 523 y Fq(MSTP\(2\))53 b(:)48 b
29204 Fw(\(D=1\))31 b(calculation)f(of)i Fj(\013)1482 538 y
29205 Fl(s)1547 523 y Fw(at)g(hard)h(in)m(teraction,)e(in)h(the)h(routine)f
29206 Fq(ULALPS)p Fw(.)236 632 y Fq(=)52 b(0)f(:)217 b Fj(\013)771
29207 647 y Fl(s)835 632 y Fw(is)32 b(\014xed)i(at)e(v)-5 b(alue)32
29208 b Fq(PARU\(111\))p Fw(.)236 740 y Fq(=)52 b(1)f(:)217
29209 b Fw(\014rst-order)32 b(running)h Fj(\013)1590 755 y
29210 Fl(s)1622 740 y Fw(.)236 848 y Fq(=)52 b(2)f(:)217 b
29211 Fw(second-order)33 b(running)f Fj(\013)1703 863 y Fl(s)1735
29212 848 y Fw(.)0 957 y Fq(MSTP\(3\))53 b(:)48 b Fw(\(D=2\))31
29213 b(selection)h(of)g(\003)h(v)-5 b(alue)32 b(in)f Fj(\013)1851
29214 972 y Fl(s)1916 957 y Fw(for)h Fq(MSTP\(2\))p Fn(\025)e
29215 Fw(1.)236 1065 y Fq(=)52 b(1)f(:)217 b Fw(\003)34 b(is)g(giv)m(en)g(b)m
29216 (y)j Fq(PARP\(1\))f Fw(for)e(hard)h(in)m(teractions,)f(b)m(y)j
29217 Fq(PARP\(61\))g Fw(for)d(space-lik)m(e)709 1173 y(sho)m(w)m(ers,)i(b)m
29218 (y)f Fq(PARP\(72\))h Fw(for)d(time-lik)m(e)e(sho)m(w)m(ers)36
29219 b(not)d(from)f(a)h(resonance)i(deca)m(y)-8 b(,)709 1282
29220 y(and)23 b(b)m(y)j Fq(PARJ\(81\))g Fw(for)c(time-lik)m(e)f(ones)k(from)
29221 d(a)h(resonance)i(deca)m(y)g(\(including)c(e.g.)709 1390
29222 y Fj(\015)5 b(=)p Fw(Z)874 1354 y Fl(0)948 1390 y Fn(!)35
29223 b Fw(q)p 1134 1337 52 4 v(q)k(deca)m(ys,)h(i.e.)57 b(con)m(v)m(en)m
29224 (tional)38 b(e)2360 1354 y Fl(+)2419 1390 y Fw(e)2462
29225 1354 y Fk(\000)2559 1390 y Fw(ph)m(ysics\).)59 b(This)37
29226 b(\003)g(is)g(assumed)709 1498 y(to)29 b(b)s(e)h(v)-5
29227 b(alid)29 b(for)g(5)h(\015a)m(v)m(ours;)i(for)e(the)g(hard)g(in)m
29228 (teraction)f(the)h(n)m(um)m(b)s(er)h(of)e(\015a)m(v)m(ours)709
29229 1607 y(assumed)k(can)g(b)s(e)g(c)m(hanged)g(b)m(y)i Fq(MSTU\(112\))p
29230 Fw(.)236 1715 y Fq(=)52 b(2)f(:)217 b Fw(\003)48 b(v)-5
29231 b(alue)49 b(is)f(c)m(hosen)j(according)e(to)f(the)i
29232 (parton-distribution-function)45 b(para-)709 1823 y(metrizations,)30
29233 b(i.e.)43 b(\003)32 b(=)f(0.20)h(GeV)g(for)f(EHLQ1,)i(=)e(0.29)h(GeV)g
29234 (for)f(EHLQ2,)i(=)709 1932 y(0.20)e(GeV)h(for)f(DO1,)g(=)h(0.40)f(GeV)h
29235 (for)f(DO2,)g(=)h(0.213)e(GeV)i(for)g(CTEQ2M,)h(=)709
29236 2040 y(0.208)38 b(GeV)g(for)h(CTEQ2MS,)h(=)e(0.208)g(GeV)h(for)f
29237 (CTEQ2MF,)i(=)f(0.322)f(GeV)709 2148 y(for)33 b(CTEQ2ML,)j(=)e(0.190)f
29238 (GeV)i(for)e(CTEQ2L,)j(=)e(0.235)f(GeV)h(for)g(CTEQ2D,)709
29239 2257 y(=)29 b(0.25)g(GeV)h(for)f(GR)-11 b(V)29 b(LO,)h(and)f(similarly)
29240 d(for)j(parton-distribution)e(functions)709 2365 y(in)34
29241 b(the)h Fm(Pdflib)h Fw(library)d(\(cf.)51 b(\()p Fq(MSTP\(51\))p
29242 Fw(,)38 b Fq(MSTP\(52\))p Fw(\).)53 b(The)36 b(c)m(hoice)f(is)g(alw)m
29243 (a)m(ys)709 2473 y(based)28 b(on)g(the)g(proton)f(parton-distribution)e
29244 (set)j(selected,)i(i.e.)42 b(is)27 b(una\013ected)i(b)m(y)709
29245 2582 y(pion)24 b(and)h(photon)g(parton-distribution)d(selection.)41
29246 b(All)23 b(the)i(\003)g(v)-5 b(alues)25 b(ab)s(o)m(v)m(e)g(are)709
29247 2690 y(assumed)31 b(to)f(refer)g(to)g(4)g(\015a)m(v)m(ours,)j(and)d
29248 Fq(MSTU\(112\))j Fw(is)d(set)h(accordingly)-8 b(.)41
29249 b(This)31 b(\003)709 2798 y(v)-5 b(alue)31 b(is)g(used)h(b)s(oth)g(for)
29250 f(the)h(hard)f(scattering)h(and)f(the)h(initial-)c(and)j(\014nal-state)
29251 709 2907 y(radiation.)41 b(The)33 b(am)m(biguit)m(y)e(in)h(the)h(c)m
29252 (hoice)g(of)f(the)h Fj(Q)2750 2871 y Fl(2)2822 2907 y
29253 Fw(argumen)m(t)f(still)e(remains)709 3015 y(\(see)37
29254 b Fq(MSTP\(32\))p Fw(,)i Fq(MSTP\(64\))f Fw(and)e Fq(MSTJ\(44\))p
29255 Fw(\).)56 b(This)37 b(\003)e(v)-5 b(alue)36 b(is)g(used)h(also)e(for)
29256 709 3123 y Fq(MSTP\(57\)=0)p Fw(,)30 b(but)d(the)g(sensible)g(c)m
29257 (hoice)g(here)g(w)m(ould)g(b)s(e)g(to)f(use)h Fq(MSTP\(2\)=0)i
29258 Fw(and)709 3232 y(ha)m(v)m(e)j(no)f(initial-)26 b(or)31
29259 b(\014nal-state)f(radiation.)41 b(This)31 b(option)f(do)s(es)h
29260 Fi(not)40 b Fw(c)m(hange)32 b(the)709 3340 y Fq(PARJ\(81\))37
29261 b Fw(v)-5 b(alue)35 b(of)g(timelik)m(e)e(parton)j(sho)m(w)m(ers)h(in)e
29262 (resonance)i(deca)m(ys,)h(so)e(that)709 3448 y(LEP)26
29263 b(exp)s(erience)i(on)e(this)f(sp)s(eci\014c)i(parameter)e(is)h(not)g(o)
29264 m(v)m(erwritten)h(un)m(wittingly)-8 b(.)709 3557 y(Therefore)33
29265 b Fq(PARJ\(81\))i Fw(can)e(b)s(e)g(up)s(dated)g(completely)e(indep)s
29266 (enden)m(tly)-8 b(.)236 3665 y Fq(=)52 b(3)f(:)217 b
29267 Fw(as)33 b Fq(=2)p Fw(,)g(except)i(that)e(here)g(also)f
29268 Fq(PARJ\(81\))j Fw(is)e(o)m(v)m(erwritten)h(in)e(accordance)i(with)709
29269 3774 y(the)f(\003)f(v)-5 b(alue)32 b(of)g(the)h(proton)f
29270 (parton-distribution-function)d(set.)0 3882 y Fq(MSTP\(4\))53
29271 b(:)48 b Fw(\(D=0\))31 b(treatmen)m(t)i(of)f(the)h(Higgs)f(sector,)h
29272 (predominan)m(tly)e(the)i(neutral)f(one.)236 3990 y Fq(=)52
29273 b(0)f(:)217 b Fw(the)38 b(H)955 3954 y Fl(0)1033 3990
29274 y Fw(is)g(giv)m(en)h(the)f(Standard)h(Mo)s(del)f(Higgs)f(couplings,)i
29275 (while)f(H)3375 3954 y Fk(0)p Fl(0)3472 3990 y Fw(and)g(A)3740
29276 3954 y Fl(0)709 4099 y Fw(couplings)49 b(should)h(b)s(e)g(set)h(b)m(y)g
29277 (the)f(user)h(in)f Fq(PARU\(171\))j(-)f(PARU\(175\))g
29278 Fw(and)709 4207 y Fq(PARU\(181\))h(-)f(PARU\(185\))p
29279 Fw(,)35 b(resp)s(ectiv)m(ely)-8 b(.)236 4315 y Fq(=)52
29280 b(1)f(:)217 b Fw(the)61 b(user)h(should)g(set)g(couplings)e(for)h(all)e
29281 (three)j(Higgses,)68 b(for)61 b(the)g(H)3597 4279 y Fl(0)3698
29282 4315 y Fw(in)709 4424 y Fq(PARU\(161\))53 b(-)f(PARU\(165\))p
29283 Fw(,)35 b(and)e(for)f(the)h(H)2425 4387 y Fk(0)p Fl(0)2516
29284 4424 y Fw(and)f(A)2778 4387 y Fl(0)2851 4424 y Fw(as)g(ab)s(o)m(v)m(e.)
29285 236 4532 y Fq(=)52 b(2)f(:)217 b Fw(the)27 b(mass)g(of)g(H)1284
29286 4496 y Fl(0)1350 4532 y Fw(in)f Fq(PMAS\(25,1\))k Fw(and)d(the)g(tan)17
29287 b Fj(\014)32 b Fw(v)-5 b(alue)27 b(in)f Fq(PARU\(141\))j
29288 Fw(are)e(used)709 4640 y(to)d(deriv)m(e)h(H)1172 4604
29289 y Fk(0)p Fl(0)1231 4640 y Fw(,)h(A)1357 4604 y Fl(0)1421
29290 4640 y Fw(and)e(H)1675 4604 y Fk(\006)1759 4640 y Fw(masses,)j(and)d(H)
29291 2355 4604 y Fl(0)2395 4640 y Fw(,)i(H)2521 4604 y Fk(0)p
29292 Fl(0)2579 4640 y Fw(,)h(A)2706 4604 y Fl(0)2769 4640
29293 y Fw(and)e(H)3024 4604 y Fk(\006)3108 4640 y Fw(couplings,)g(using)709
29294 4749 y(the)35 b(relations)e(of)h(the)h(Minimal)c(Sup)s(ersymmetric)k
29295 (extension)g(of)f(the)h(Standard)709 4857 y(Mo)s(del)22
29296 b(at)h(Born)h(lev)m(el)f([Gun90)o(].)41 b(Existing)22
29297 b(masses)i(and)g(couplings)e(are)h(o)m(v)m(erwrit-)709
29298 4965 y(ten)34 b(b)m(y)i(the)e(deriv)m(ed)h(v)-5 b(alues.)49
29299 b(See)35 b(section)g(8.4.3)e(for)h(discussion)h(on)f(parameter)709
29300 5074 y(constrain)m(ts.)236 5182 y Fq(=)52 b(3:)268 b
29301 Fw(as)38 b Fq(=2)p Fw(,)j(but)e(using)f(relations)f(at)h(the)h(one-lo)s
29302 (op)e(lev)m(el.)61 b(This)39 b(option)e(is)h(not)g(y)m(et)709
29303 5290 y(implemen)m(ted.)0 5399 y Fq(MSTP\(5\))53 b(:)48
29304 b Fw(\(D=0\))31 b(presence)k(of)d(anomalous)f(couplings)h(in)f(pro)s
29305 (cesses.)236 5507 y Fq(=)52 b(0)f(:)217 b Fw(absen)m(t.)236
29306 5615 y Fn(\025)p Fq(1)52 b(:)242 b Fw(presen)m(t,)34
29307 b(wherev)m(er)h(implemen)m(ted.)42 b(See)33 b(section)g(8.5.4)f(for)g
29308 (further)h(details.)1817 5953 y(149)p eop
29309 %%Page: 150 156
29310 150 155 bop 0 -18 a Fq(MSTP\(6\))53 b(:)48 b Fw(\(D=0\))i(usage)i(of)e
29311 (the)i(fourth-generation)e(fermions)g(to)h(sim)m(ulate)f(other)h
29312 (fermion)472 90 y(kinds.)236 198 y Fq(=)h(0)f(:)217 b
29313 Fw(none,)33 b(i.e.)43 b(can)33 b(b)s(e)f(used)i(as)f(a)f(standard)h
29314 (fourth)g(generation.)236 307 y Fq(=)52 b(1)f(:)217 b
29315 Fw(excited)28 b(fermions,)g(as)g(presen)m(t)i(in)d(comp)s(ositeness)h
29316 (scenarios;)i(see)f(section)f(8.5.5.)0 415 y Fq(MSTP\(7\))53
29317 b(:)48 b Fw(\(D=0\))c(c)m(hoice)i(of)e(hea)m(vy)j(\015a)m(v)m(our)f(in)
29318 f(subpro)s(cesses)j(81{85.)81 b(Do)s(es)45 b(not)g(apply)g(for)472
29319 523 y Fq(MSEL=4-8)p Fw(,)35 b(where)f(the)f(MSEL)g(v)-5
29320 b(alue)32 b(alw)m(a)m(ys)i(tak)m(es)f(precedence.)236
29321 632 y Fq(=)52 b(0)f(:)217 b Fw(for)28 b(pro)s(cesses)j(81{84)d(\(85\))g
29322 (the)h(`hea)m(viest')h(\015a)m(v)m(our)g(allo)m(w)m(ed)e(for)h(gluon)f
29323 (\(photon\))709 740 y(splitting)d(in)m(to)i(a)g(quark{an)m(tiquark)h
29324 (\(fermion{an)m(tifermion\))c(pair,)j(as)h(set)g(in)f(the)709
29325 848 y Fq(MDME)h Fw(arra)m(y)-8 b(.)42 b(Note)28 b(that)f(`hea)m(vy')j
29326 (is)d(de\014ned)i(as)f(the)g(one)g(with)f(largest)g(KF)g(co)s(de,)709
29327 957 y(so)32 b(that)h(leptons)f(tak)m(e)i(precedence)h(if)c(they)j(are)e
29328 (allo)m(w)m(ed.)236 1065 y Fq(=)52 b(1)f(-)h(8)f(:)d
29329 Fw(pic)m(k)35 b(this)g(particular)f(quark)i(\015a)m(v)m(our;)h(e.g.,)f
29330 Fq(MSTP\(7\)=6)i Fw(means)d(that)g(top)g(will)709 1173
29331 y(b)s(e)d(pro)s(duced.)236 1282 y Fq(=)52 b(11)g(-)f(18)h(:)47
29332 b Fw(pic)m(k)31 b(this)e(particular)f(lepton)h(\015a)m(v)m(our.)44
29333 b(Note)30 b(that)f(neutrinos)h(are)g(not)f(p)s(ossi-)709
29334 1390 y(ble,)k(i.e.)45 b(only)33 b(11,)g(13,)g(15)g(and)g(17)g(are)g
29335 (meaningful)e(alternativ)m(es.)46 b(Lepton)34 b(pair)709
29336 1498 y(pro)s(duction)d(can)h(only)g(o)s(ccur)g(in)f(pro)s(cess)i(85,)f
29337 (so)g(if)f(an)m(y)h(of)g(the)g(other)g(pro)s(cesses)709
29338 1607 y(ha)m(v)m(e)27 b(b)s(een)h(switc)m(hed)f(on)g(they)g(are)f
29339 (generated)i(with)e(the)g(same)h(\015a)m(v)m(our)g(as)g(w)m(ould)709
29340 1715 y(b)s(e)32 b(obtained)g(in)g(the)h(option)f Fq(MSTP\(7\)=0)p
29341 Fw(.)0 1823 y Fq(MSTP\(8\))53 b(:)48 b Fw(\(D=0\))41
29342 b(c)m(hoice)h(of)g(electro)m(w)m(eak)i(parameters)e(to)g(use)h(in)f
29343 (the)g(deca)m(y)i(widths)e(of)g(res-)472 1932 y(onances)51
29344 b(\(W)q(,)k(Z,)f(H,)h(.)16 b(.)g(.)g(\))96 b(and)50 b(cross)h(sections)
29345 g(\(pro)s(duction)e(of)h(W)q('s,)55 b(Z's,)g(H's,)472
29346 2040 y(.)16 b(.)g(.)g(\).)236 2148 y Fq(=)52 b(0)f(:)217
29347 b Fw(ev)m(erything)26 b(is)f(expressed)j(in)d(terms)g(of)g(a)h(running)
29348 f Fj(\013)2670 2163 y Fl(em)2764 2148 y Fw(\()p Fj(Q)2879
29349 2112 y Fl(2)2919 2148 y Fw(\))g(and)g(a)h(\014xed)g(sin)3587
29350 2109 y Fl(2)3626 2148 y Fj(\022)3671 2163 y Fh(W)3752
29351 2148 y Fw(,)709 2257 y(i.e.)43 b Fj(G)954 2272 y Fl(F)1036
29352 2257 y Fw(is)32 b(no)m(where)i(used.)236 2365 y Fq(=)52
29353 b(1)f(:)217 b Fw(a)40 b(replacemen)m(t)g(is)g(made)f(according)h(to)g
29354 Fj(\013)2359 2380 y Fl(em)2453 2365 y Fw(\()p Fj(Q)2568
29355 2329 y Fl(2)2608 2365 y Fw(\))g Fn(!)2827 2283 y(p)p
29356 2910 2283 49 4 v 82 x Fw(2)p Fj(G)3036 2380 y Fl(F)3086
29357 2365 y Fj(m)3171 2329 y Fl(2)3171 2390 y(W)3265 2365
29358 y Fw(sin)3385 2325 y Fl(2)3424 2365 y Fj(\022)3469 2380
29359 y Fh(W)3550 2365 y Fj(=\031)k Fw(in)709 2473 y(all)28
29360 b(widths)j(and)g(cross)h(sections.)43 b(If)31 b Fj(G)2155
29361 2488 y Fl(F)2236 2473 y Fw(and)g Fj(m)2509 2488 y Fl(Z)2587
29362 2473 y Fw(are)g(considered)h(as)e(giv)m(en,)i(this)709
29363 2582 y(means)g(that)h(sin)1338 2542 y Fl(2)1378 2582
29364 y Fj(\022)1423 2597 y Fh(W)1536 2582 y Fw(and)g Fj(m)1811
29365 2597 y Fl(W)1921 2582 y Fw(are)g(the)g(only)f(free)h(electro)m(w)m(eak)
29366 h(parameter.)236 2690 y Fq(=)52 b(2)f(:)217 b Fw(a)35
29367 b(replacemen)m(t)h(is)f(made)g(as)h(for)f Fq(=1)p Fw(,)h(but)g
29368 (additionally)c(sin)2989 2650 y Fl(2)3029 2690 y Fj(\022)3074
29369 2705 y Fh(W)3190 2690 y Fw(is)j(constrained)709 2798
29370 y(b)m(y)g(the)g(relation)d(sin)1495 2759 y Fl(2)1535
29371 2798 y Fj(\022)1580 2813 y Fh(W)1691 2798 y Fw(=)f(1)23
29372 b Fn(\000)h Fj(m)2056 2762 y Fl(2)2056 2823 y(W)2134
29373 2798 y Fj(=m)2268 2762 y Fl(2)2268 2823 y(Z)2315 2798
29374 y Fw(.)49 b(This)35 b(means)f(that)h Fj(m)3215 2813 y
29375 Fl(W)3327 2798 y Fw(remains)e(as)709 2907 y(a)f(free)h(parameter,)f
29376 (but)g(that)h(the)f(sin)2147 2867 y Fl(2)2187 2907 y
29377 Fj(\022)2232 2922 y Fh(W)2345 2907 y Fw(v)-5 b(alue)32
29378 b(in)g Fq(PARU\(102\))i Fw(is)e(nev)m(er)i(used,)709
29379 3015 y Fi(exc)-5 b(ept)35 b Fw(in)25 b(the)i(v)m(ector)g(couplings)e
29380 (in)h(the)g(com)m(bination)e Fj(v)32 b Fw(=)27 b Fj(a)9
29381 b Fn(\000)g Fw(4)17 b(sin)3310 2975 y Fl(2)3350 3015
29382 y Fj(\022)3395 3030 y Fh(W)3476 3015 y Fj(e)p Fw(.)41
29383 b(This)709 3123 y(latter)d(degree)j(of)e(freedom)h(en)m(ters)h(e.g.)66
29384 b(for)39 b(forw)m(ard-bac)m(kw)m(ard)i(asymmetries)709
29385 3232 y(in)31 b(Z)882 3196 y Fl(0)954 3232 y Fw(deca)m(ys.)236
29386 3340 y Fo(Note:)203 b Fw(This)28 b(option)e(do)s(es)j(not)e(a\013ect)i
29387 (the)f(emission)e(of)i(real)f(photons)h(in)f(the)h(initial)c(and)709
29388 3448 y(\014nal)30 b(state,)i(where)g Fj(\013)1531 3463
29389 y Fl(em)1656 3448 y Fw(is)e(alw)m(a)m(ys)i(used.)44 b(Ho)m(w)m(ev)m
29390 (er,)34 b(it)c(do)s(es)h(a\013ect)g(also)f(purely)709
29391 3557 y(electromagnetic)h(hard)h(pro)s(cesses,)j(suc)m(h)f(as)f(q)p
29392 2475 3504 52 4 v(q)c Fn(!)e Fj(\015)5 b(\015)g Fw(.)0
29393 3665 y Fq(MSTP\(9\))53 b(:)48 b Fw(\(D=0\))29 b(inclusion)g(of)h(top)g
29394 (\(and)g(fourth)h(generation\))e(as)i(allo)m(w)m(ed)f(remnan)m(t)g
29395 (\015a)m(v)m(our)h(in)472 3774 y(pro)s(cesses)39 b(that)e(in)m(v)m(olv)
29396 m(e)g(q)f Fn(!)e Fw(q)1718 3737 y Fk(0)1767 3774 y Fw(+)25
29397 b(W)38 b(branc)m(hings)g(as)f(part)g(of)f(the)h(o)m(v)m(erall)f(pro)s
29398 (cess,)472 3882 y(and)d(where)h(q)995 3846 y Fk(0)1051
29399 3882 y Fw(is)e(\(implicitly\))c(assumed)34 b(to)e(b)s(e)h(massless.)236
29400 3990 y Fq(=)52 b(0)f(:)217 b Fw(no.)236 4099 y Fq(=)52
29401 b(1)f(:)217 b Fw(y)m(es)38 b(\(but)g(it)e(is)g(still)f(p)s(ossible)i
29402 (to)f(switc)m(h)i(o\013)f(\015a)m(v)m(ours)i(individually)34
29403 b(with)i Fq(MDME)709 4207 y Fw(as)c(b)s(efore\).)0 4315
29404 y Fq(MSTP\(11\))53 b(:)48 b Fw(\(D=1\))28 b(use)j(of)e(electron)g
29405 (parton)h(distribution)d(in)i(e)2497 4279 y Fl(+)2556
29406 4315 y Fw(e)2599 4279 y Fk(\000)2688 4315 y Fw(and)h(ep)g(in)m
29407 (teractions.)236 4424 y Fq(=)52 b(0)f(:)217 b Fw(no,)32
29408 b(i.e.)43 b(electron)33 b(carries)f(the)h(whole)g(b)s(eam)e(energy)-8
29409 b(.)236 4532 y Fq(=)52 b(1)f(:)217 b Fw(y)m(es,)28 b(i.e.)41
29410 b(electron)25 b(carries)h(only)f(a)g(fraction)f(of)h(b)s(eam)g(energy)h
29411 (in)f(agreemen)m(t)h(with)709 4640 y(next-to-leading)36
29412 b(electron)i(parton-distribution)e(function,)j(thereb)m(y)h(including)
29413 709 4749 y(the)33 b(e\013ects)h(of)e(initial-state)c(bremsstrahlung.)0
29414 4857 y Fq(MSTP\(12\))53 b(:)48 b Fw(\(D=0\))32 b(use)i(of)e(e)1191
29415 4821 y Fk(\000)1284 4857 y Fw(\(`sea',)i(i.e.)44 b(from)32
29416 b(e)c Fn(!)g Fj(\015)34 b Fn(!)28 b Fw(e\),)33 b(e)2563
29417 4821 y Fl(+)2623 4857 y Fw(,)g(quark)h(and)f(gluon)f(distribu-)472
29418 4965 y(tion)g(functions)h(inside)e(an)i(electron.)236
29419 5074 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236 5182 y Fq(=)52
29420 b(1)f(:)217 b Fw(on,)32 b(pro)m(vided)h(that)f Fq(MSTP\(11\))p
29421 Fn(\025)e Fw(1.)44 b(Quark)32 b(and)h(gluons)f(distributions)f(are)h
29422 (ob-)709 5290 y(tained)c(b)m(y)i(n)m(umerical)d(con)m(v)m(olution)h(of)
29423 h(the)g(photon)g(con)m(ten)m(t)h(inside)e(an)h(electron)709
29424 5399 y(\(as)23 b(giv)m(en)g(b)m(y)h(the)f(bremsstrahlung)g(sp)s(ectrum)
29425 h(of)29 b Fq(MSTP\(11\)=1)p Fw(\))d(with)c(the)i(quark)709
29426 5507 y(and)36 b(gluon)f(con)m(ten)m(t)i(inside)e(a)h(photon.)53
29427 b(The)37 b(required)f(n)m(umerical)f(precision)g(is)709
29428 5615 y(set)27 b(b)m(y)i Fq(PARP\(14\))p Fw(.)44 b(Since)27
29429 b(the)g(need)h(for)e(n)m(umerical)f(in)m(tegration)g(mak)m(es)j(this)e
29430 (op-)1817 5953 y(150)p eop
29431 %%Page: 151 157
29432 151 156 bop 709 -18 a Fw(tion)36 b(somewhat)j(more)e(time-consuming)e
29433 (than)j(ordinary)f(parton-distribution)709 90 y(ev)-5
29434 b(aluation,)40 b(one)h(should)f(only)g(use)h(it)e(when)i(studying)g
29435 (pro)s(cesses)h(where)g(it)d(is)709 198 y(needed.)0 307
29436 y Fq(MSTP\(13\))53 b(:)48 b Fw(\(D=1\))32 b(c)m(hoice)i(of)f
29437 Fj(Q)1348 270 y Fl(2)1420 307 y Fw(range)h(o)m(v)m(er)g(whic)m(h)g
29438 (electrons)f(are)h(assumed)g(to)f(radiate)f(pho-)472
29439 415 y(tons;)44 b(a\013ects)d(normalization)36 b(of)k(e)1818
29440 379 y Fk(\000)1917 415 y Fw(\(sea\),)i(e)2235 379 y Fl(+)2295
29441 415 y Fw(,)f Fj(\015)5 b Fw(,)42 b(quark)f(and)f(gluon)f(distributions)
29442 472 523 y(inside)32 b(an)h(electron.)236 632 y Fq(=)52
29443 b(1)f(:)217 b Fw(range)43 b(set)g(b)m(y)h Fj(Q)1370 595
29444 y Fl(2)1452 632 y Fw(argumen)m(t)f(of)f(parton-distribution-function)e
29445 (call,)k(i.e.)74 b(b)m(y)709 740 y Fj(Q)786 704 y Fl(2)857
29446 740 y Fw(scale)31 b(of)h(the)g(hard)f(in)m(teraction.)42
29447 b(Therefore)33 b(parton)e(distributions)g(are)g(pro-)709
29448 848 y(p)s(ortional)45 b(to)i(ln)o(\()p Fj(Q)1474 812
29449 y Fl(2)1514 848 y Fj(=m)1648 812 y Fl(2)1648 873 y Fh(e)1687
29450 848 y Fw(\).)89 b(This)48 b(is)f(normally)e(most)i(appropriate)g(for)g
29451 (e)3618 812 y Fl(+)3677 848 y Fw(e)3720 812 y Fk(\000)709
29452 957 y Fw(annihilation.)236 1065 y Fq(=)52 b(2)f(:)217
29453 b Fw(range)25 b(set)h(b)m(y)g(the)g(user-determined)f
29454 Fj(Q)2186 1029 y Fl(2)2186 1090 y(max)2322 1065 y Fw(,)i(giv)m(en)e(in)
29455 g Fq(PARP\(13\))p Fw(.)43 b(P)m(arton)25 b(distri-)709
29456 1173 y(butions)f(are)h(assumed)h(to)e(b)s(e)h(prop)s(ortional)e(to)h
29457 (ln)o(\(\()p Fj(Q)2722 1137 y Fl(2)2722 1198 y(max)2858
29458 1173 y Fj(=m)2992 1137 y Fl(2)2992 1198 y Fh(e)3032 1173
29459 y Fw(\)\(1)6 b Fn(\000)g Fj(x)p Fw(\))p Fj(=x)3443 1137
29460 y Fl(2)3483 1173 y Fw(\).)41 b(This)709 1282 y(is)32
29461 b(normally)e(most)i(appropriate)f(for)h(photopro)s(duction,)g(where)i
29462 (the)f(electron)f(is)709 1390 y(supp)s(osed)i(to)e(go)g(undetected,)j
29463 (i.e.)43 b(scatter)33 b(less)g(than)g Fj(Q)2878 1354
29464 y Fl(2)2878 1415 y(max)3013 1390 y Fw(.)236 1498 y Fo(Note:)203
29465 b Fw(the)32 b(c)m(hoice)g(of)f(e\013ectiv)m(e)i(range)e(is)g(esp)s
29466 (ecially)g(touc)m(h)m(y)i(for)e(the)h(quark)h(and)e(gluon)709
29467 1607 y(distributions.)66 b(An)40 b(\(almost\))f(on-the-mass-shell)g
29468 (photon)h(has)h(a)g(VMD)f(piece)709 1715 y(that)k(dies)i(a)m(w)m(a)m(y)
29469 g(for)e(a)h(virtual)f(photon.)80 b(A)45 b(simple)f(folding)f(of)h
29470 (distribution)709 1823 y(functions)31 b(do)s(es)h(not)f(tak)m(e)h(this)
29471 f(in)m(to)g(accoun)m(t)h(prop)s(erly)-8 b(.)42 b(Therefore)33
29472 b(the)e(con)m(tri-)709 1932 y(bution)j(from)f Fj(Q)j
29473 Fw(v)-5 b(alues)34 b(ab)s(o)m(v)m(e)i(the)f Fj(\032)g
29474 Fw(mass)g(should)g(b)s(e)g(suppressed.)53 b(A)35 b(c)m(hoice)709
29475 2040 y(of)41 b Fj(Q)906 2055 y Fl(max)1086 2040 y Fn(\031)j
29476 Fw(1)e(GeV)g(is)g(then)h(appropriate)e(for)h(a)g(photopro)s(duction)f
29477 (limit)d(de-)709 2148 y(scription)31 b(of)h(ph)m(ysics.)0
29478 2257 y Fq(MSTP\(14\))53 b(:)48 b Fw(\(D=0\))29 b(structure)i(of)f
29479 (incoming)e(photon)i(b)s(eam)g(or)g(target)f(\(do)s(es)i(not)f
29480 (a\013ect)g(photon)472 2365 y(inside)e(electron,)h(only)f(photons)h
29481 (app)s(earing)e(as)i(argumen)m(t)f(in)f(the)i Fq(PYINIT)h
29482 Fw(call\).)236 2473 y Fq(=)52 b(0)f(:)217 b Fw(a)43 b(photon)i(is)e
29483 (assumed)i(to)f(b)s(e)g(p)s(oin)m(t-lik)m(e)e(\(a)i(direct)g(photon\),)
29484 j(i.e.)78 b(can)44 b(only)709 2582 y(in)m(teract)32 b(in)g(pro)s
29485 (cesses)i(whic)m(h)f(explicitly)e(con)m(tain)g(the)i(incoming)d
29486 (photon,)j(suc)m(h)709 2690 y(as)43 b(f)869 2705 y Fh(i)897
29487 2690 y Fj(\015)50 b Fn(!)45 b Fw(f)1173 2705 y Fh(i)1201
29488 2690 y Fw(g)e(for)g Fj(\015)5 b Fw(p)43 b(in)m(teractions.)73
29489 b(In)44 b Fj(\015)5 b(\015)47 b Fw(in)m(teractions)c(b)s(oth)f(photons)
29490 h(are)709 2798 y(direct,)32 b(i.e)g(the)h(main)e(pro)s(cess)j(is)e
29491 Fj(\015)5 b(\015)33 b Fn(!)27 b Fw(f)2289 2813 y Fh(i)p
29492 2317 2719 37 4 v 2317 2798 a Fw(f)2354 2813 y Fh(i)2382
29493 2798 y Fw(.)236 2907 y Fq(=)52 b(1)f(:)217 b Fw(a)41
29494 b(photon)g(is)f(assumed)i(to)f(b)s(e)h(resolv)m(ed,)i(i.e.)69
29495 b(can)41 b(only)g(in)m(teract)g(through)g(its)709 3015
29496 y(constituen)m(t)28 b(quarks)g(and)f(gluons,)h(giving)e(either)h(high-)
29497 p Fj(p)2854 3030 y Fk(?)2939 3015 y Fw(parton{parton)f(scat-)709
29498 3123 y(terings)36 b(or)g(lo)m(w-)p Fj(p)1382 3138 y Fk(?)1477
29499 3123 y Fw(ev)m(en)m(ts.)58 b(Hard)36 b(pro)s(cesses)j(are)e(calculated)
29500 e(with)h(the)h(use)h(of)709 3232 y(the)28 b(full)e(photon)h(parton)h
29501 (distributions.)40 b(In)28 b Fj(\015)5 b(\015)33 b Fw(in)m(teractions)
29502 27 b(b)s(oth)g(photons)h(are)709 3340 y(resolv)m(ed.)236
29503 3448 y Fq(=)52 b(2)f(:)217 b Fw(a)29 b(photon)g(is)f(assumed)i(resolv)m
29504 (ed,)h(but)e(only)g(the)h(VMD)f(piece)g(is)g(included)g(in)f(the)709
29505 3557 y(parton)46 b(distributions,)j(whic)m(h)f(therefore)f(mainly)e
29506 (are)i(scaled-do)m(wn)g(v)m(ersions)709 3665 y(of)36
29507 b(the)h Fj(\032)1046 3629 y Fl(0)1085 3665 y Fj(=\031)1193
29508 3629 y Fl(0)1269 3665 y Fw(ones.)56 b(Both)36 b(high-)p
29509 Fj(p)2049 3680 y Fk(?)2144 3665 y Fw(parton{parton)f(scatterings)i(and)
29510 g(lo)m(w-pT)709 3774 y(ev)m(en)m(ts)e(are)d(allo)m(w)m(ed.)43
29511 b(In)33 b Fj(\015)5 b(\015)37 b Fw(in)m(teractions)32
29512 b(b)s(oth)h(photons)g(are)f(VMD-lik)m(e.)236 3882 y Fq(=)52
29513 b(3)f(:)217 b Fw(a)24 b(photon)g(is)g(assumed)h(resolv)m(ed,)i(but)e
29514 (only)f(the)g(anomalous)f(piece)i(of)f(the)g(photon)709
29515 3990 y(parton)i(distributions)f(is)g(included.)42 b(Only)25
29516 b(high-)p Fj(p)2600 4005 y Fk(?)2685 3990 y Fw(parton{parton)g
29517 (scatterings)709 4099 y(are)32 b(allo)m(w)m(ed.)43 b(In)33
29518 b Fj(\015)5 b(\015)37 b Fw(in)m(teractions)32 b(b)s(oth)h(photons)g
29519 (are)f(anomalous.)236 4207 y Fq(=)52 b(4)f(:)217 b Fw(in)30
29520 b Fj(\015)5 b(\015)36 b Fw(in)m(teractions)30 b(one)h(photon)g(is)g
29521 (direct)g(and)g(the)g(other)g(resolv)m(ed.)44 b(A)31
29522 b(t)m(ypical)709 4315 y(pro)s(cess)43 b(is)f(th)m(us)i(f)1421
29523 4330 y Fh(i)1449 4315 y Fj(\015)50 b Fn(!)44 b Fw(f)1724
29524 4330 y Fh(i)1752 4315 y Fw(g)q(.)73 b(Hard)43 b(pro)s(cesses)h(are)f
29525 (calculated)e(with)i(the)f(use)709 4424 y(of)h(the)h(full)e(photon)i
29526 (parton)g(distributions)f(for)g(the)h(resolv)m(ed)h(photon.)78
29527 b(Both)709 4532 y(p)s(ossibilities)36 b(of)k(whic)m(h)g(photon)g(is)f
29528 (direct)h(are)g(included,)h(in)e(ev)m(en)m(t)j(top)s(ologies)709
29529 4640 y(and)32 b(in)f(cross)h(sections.)44 b(This)32 b(option)f(cannot)h
29530 (b)s(e)g(used)g(in)f(con\014gurations)h(with)709 4749
29531 y(only)g(one)h(incoming)d(photon.)236 4857 y Fq(=)52
29532 b(5)f(:)217 b Fw(in)38 b Fj(\015)5 b(\015)45 b Fw(in)m(teractions)39
29533 b(one)h(photon)f(is)g(direct)h(and)g(the)g(other)f(VMD-lik)m(e.)64
29534 b(Both)709 4965 y(p)s(ossibilities)36 b(of)k(whic)m(h)g(photon)g(is)f
29535 (direct)h(are)g(included,)h(in)e(ev)m(en)m(t)j(top)s(ologies)709
29536 5074 y(and)32 b(in)f(cross)h(sections.)44 b(This)32 b(option)f(cannot)h
29537 (b)s(e)g(used)g(in)f(con\014gurations)h(with)709 5182
29538 y(only)g(one)h(incoming)d(photon.)236 5290 y Fq(=)52
29539 b(6)f(:)217 b Fw(in)36 b Fj(\015)5 b(\015)42 b Fw(in)m(teractions)36
29540 b(one)h(photon)g(is)g(direct)f(and)h(the)h(other)f(anomalous.)55
29541 b(Both)709 5399 y(p)s(ossibilities)36 b(of)k(whic)m(h)g(photon)g(is)f
29542 (direct)h(are)g(included,)h(in)e(ev)m(en)m(t)j(top)s(ologies)709
29543 5507 y(and)32 b(in)f(cross)h(sections.)44 b(This)32 b(option)f(cannot)h
29544 (b)s(e)g(used)g(in)f(con\014gurations)h(with)709 5615
29545 y(only)g(one)h(incoming)d(photon.)1817 5953 y(151)p eop
29546 %%Page: 152 158
29547 152 157 bop 236 -18 a Fq(=)52 b(7)f(:)217 b Fw(in)45
29548 b Fj(\015)5 b(\015)52 b Fw(in)m(teractions)45 b(one)i(photon)f(is)g
29549 (VMD-lik)m(e)f(and)i(the)g(other)f(anomalous.)709 90
29550 y(Only)38 b(high-)p Fj(p)1223 105 y Fk(?)1320 90 y Fw(parton{parton)g
29551 (scatterings)h(are)g(allo)m(w)m(ed.)62 b(Both)38 b(p)s(ossibilities)709
29552 198 y(of)43 b(whic)m(h)h(photon)f(is)g(VMD-lik)m(e)g(are)g(included,)j
29553 (in)d(ev)m(en)m(t)i(top)s(ologies)d(and)h(in)709 307
29554 y(cross)d(sections.)64 b(This)40 b(option)e(cannot)i(b)s(e)f(used)i(in)
29555 d(con\014gurations)h(with)g(only)709 415 y(one)33 b(incoming)d(photon.)
29556 236 523 y Fq(=)52 b(10)g(:)165 b Fw(the)28 b(VMD,)h(direct)f(and)g
29557 (anomalous)f(comp)s(onen)m(ts)i(of)f(the)h(photon)f(are)g(automat-)709
29558 632 y(ically)37 b(mixed.)63 b(F)-8 b(or)38 b Fj(\015)5
29559 b Fw(p)40 b(in)m(teractions,)g(this)f(means)h(an)f(automatic)e(mixture)
29560 i(of)709 740 y(the)30 b(three)h(classes)g(0,)f(2)g(and)g(3)g(ab)s(o)m
29561 (v)m(e)h([Sc)m(h93,)f(Sc)m(h93a)q(],)g(for)g Fj(\015)5
29562 b(\015)35 b Fw(ones)c(a)e(mixture)709 848 y(of)k(the)i(six)f(classes)h
29563 (0,)f(2,)g(3,)g(5,)g(6)g(and)g(7)g(ab)s(o)m(v)m(e)h([Sc)m(h94a].)48
29564 b(V)-8 b(arious)33 b(restrictions)709 957 y(exist)g(for)f(this)g
29565 (option,)f(as)i(discussed)h(in)e(section)h(8.3.2.)236
29566 1065 y Fo(Note:)203 b Fw(our)39 b(b)s(est)h(understanding)g(of)f(ho)m
29567 (w)i(to)e(mix)f(ev)m(en)m(t)k(classes)e(is)f(pro)m(vided)i(b)m(y)f(the)
29568 709 1173 y(option)j(10)i(ab)s(o)m(v)m(e,)k(whic)m(h)c(also)f(can)h(b)s
29569 (e)g(obtained)g(b)m(y)g(com)m(bining)e(three)j(\(for)709
29570 1282 y Fj(\015)5 b Fw(p\))31 b(or)g(six)g(\(for)g Fj(\015)5
29571 b(\015)g Fw(\))31 b(separate)h(runs.)44 b(In)31 b(a)g(simpler)f
29572 (alternativ)m(e)g(the)i(VMD)f(and)709 1390 y(anomalous)24
29573 b(classes)j(are)f(joined)f(in)m(to)g(a)h(single)f(resolv)m(ed)h(class.)
29574 42 b(Then)27 b Fj(\015)5 b Fw(p)26 b(ph)m(ysics)709 1498
29575 y(only)37 b(requires)i(t)m(w)m(o)g(separate)g(runs,)h(with)e(0)g(and)g
29576 (1,)i(and)e Fj(\015)5 b(\015)43 b Fw(ph)m(ysics)d(requires)709
29577 1607 y(three,)33 b(with)f(0,)h(1)f(and)h(4.)0 1715 y
29578 Fq(MSTP\(15\))53 b(:)48 b Fw(\(D=5\))28 b(p)s(ossibilit)m(y)f(to)i(mo)s
29579 (dify)e(the)i(nature)h(of)e(the)i(anomalous)d(photon)i(comp)s(onen)m(t)
29580 472 1823 y(\(as)g(used)h(with)e(the)g(appropriate)g Fq(MSTP\(14\))i
29581 Fw(options\),)f(in)f(particular)e(with)i(resp)s(ect)i(to)472
29582 1932 y(the)d(scale)g(c)m(hoices)g(and)g(cut-o\013s)g(of)f(hard)g(pro)s
29583 (cesses.)44 b(This)27 b(option)e(is)h(mainly)f(in)m(tended)472
29584 2040 y(for)32 b(comparativ)m(e)g(studies)i(and)e(should)h(not)f
29585 (normally)e(b)s(e)j(touc)m(hed.)236 2148 y Fq(=)52 b(0)f(:)217
29586 b Fw(none,)33 b(i.e.)43 b(the)33 b(same)f(treatmen)m(t)h(as)g(for)f
29587 (the)h(VMD)f(comp)s(onen)m(t.)236 2257 y Fq(=)52 b(1)f(:)217
29588 b Fw(ev)-5 b(aluate)32 b(the)h(anomalous)e(parton)h(distributions)f(at)
29589 h(a)h(scale)f Fj(Q)3137 2221 y Fl(2)3177 2257 y Fj(=)p
29590 Fq(PARP\(17\))3634 2221 y Fl(2)3675 2257 y Fw(.)236 2365
29591 y Fq(=)52 b(2)f(:)217 b Fw(as)62 b Fq(=1)p Fw(,)71 b(but)63
29592 b(instead)f(of)69 b Fq(PARP\(17\))c Fw(use)e(either)g
29593 Fq(PARP\(81\)/PARP\(15\))k Fw(or)709 2473 y Fq(PARP\(82\)/PARP\(15\))p
29594 Fw(,)37 b(dep)s(ending)c(on)f Fq(MSTP\(82\))j Fw(v)-5
29595 b(alue.)236 2582 y Fq(=)52 b(3)f(:)217 b Fw(ev)-5 b(aluate)40
29596 b(the)h(anomalous)e(parton)i(distribution)e(functions)i(of)f(the)h
29597 (photon)g(as)709 2690 y Fj(f)768 2654 y Fh(\015)t(;)p
29598 Fl(anom)1000 2690 y Fw(\()p Fj(x;)17 b(Q)1214 2654 y
29599 Fl(2)1254 2690 y Fj(;)g(p)1347 2654 y Fl(2)1347 2715
29600 y(0)1386 2690 y Fw(\))22 b Fn(\000)h Fj(f)1605 2654 y
29601 Fh(\015)t(;)p Fl(anom)1837 2690 y Fw(\()p Fj(x;)17 b(Q)2051
29602 2654 y Fl(2)2091 2690 y Fj(;)g(r)2182 2654 y Fl(2)2220
29603 2690 y Fj(Q)2297 2654 y Fl(2)2337 2690 y Fw(\))33 b(with)f
29604 Fj(r)e Fw(=)p Fq(PARP\(17\))p Fw(.)236 2798 y Fq(=)52
29605 b(4)f(:)217 b Fw(as)62 b Fq(=3)p Fw(,)71 b(but)63 b(instead)f(of)69
29606 b Fq(PARP\(17\))c Fw(use)e(either)g Fq(PARP\(81\)/PARP\(15\))k
29607 Fw(or)709 2907 y Fq(PARP\(82\)/PARP\(15\))p Fw(,)37 b(dep)s(ending)c
29608 (on)f Fq(MSTP\(82\))j Fw(v)-5 b(alue.)236 3015 y Fq(=)52
29609 b(5)f(:)217 b Fw(use)41 b(larger)d Fj(p)1217 3030 y Fk(?)p
29610 Fl(min)1434 3015 y Fw(for)h(the)i(anomalous)d(comp)s(onen)m(t)i(than)g
29611 (for)g(the)g(VMD)g(one,)709 3123 y(but)33 b(otherwise)g(no)f
29612 (di\013erence.)0 3232 y Fq(MSTP\(21\))53 b(:)48 b Fw(\(D=1\))36
29613 b(nature)i(of)f(fermion{fermion)d(scatterings)j(sim)m(ulated)f(in)h
29614 (pro)s(cess)i(10)e(b)m(y)h Fj(t)p Fw(-)472 3340 y(c)m(hannel)33
29615 b(exc)m(hange.)236 3448 y Fq(=)52 b(0)f(:)217 b Fw(all)30
29616 b(o\013.)236 3557 y Fq(=)52 b(1)f(:)217 b Fw(full)30
29617 b(mixture)i(of)g Fj(\015)1412 3521 y Fk(\003)1452 3557
29618 y Fj(=)p Fw(Z)1561 3521 y Fl(0)1632 3557 y Fw(neutral)g(curren)m(t)i
29619 (and)e(W)2597 3521 y Fk(\006)2690 3557 y Fw(c)m(harged)h(curren)m(t.)
29620 236 3665 y Fq(=)52 b(2)f(:)217 b Fj(\015)37 b Fw(neutral)32
29621 b(curren)m(t)i(only)-8 b(.)236 3774 y Fq(=)52 b(3)f(:)217
29622 b Fw(Z)769 3737 y Fl(0)840 3774 y Fw(neutral)32 b(curren)m(t)i(only)-8
29623 b(.)236 3882 y Fq(=)52 b(4)f(:)217 b Fj(\015)765 3846
29624 y Fk(\003)804 3882 y Fj(=)p Fw(Z)913 3846 y Fl(0)984
29625 3882 y Fw(neutral)32 b(curren)m(t)i(only)-8 b(.)236 3990
29626 y Fq(=)52 b(5)f(:)217 b Fw(W)810 3954 y Fk(\006)902 3990
29627 y Fw(c)m(harged)33 b(curren)m(t)h(only)-8 b(.)0 4099
29628 y Fq(MSTP\(22\))53 b(:)48 b Fw(\(D=0\))27 b(sp)s(ecial)f(o)m(v)m
29629 (erride)j(of)e(normal)f Fj(Q)2051 4062 y Fl(2)2118 4099
29630 y Fw(de\014nition)h(used)h(for)g(maxim)m(um)d(of)i(parton-)472
29631 4207 y(sho)m(w)m(er)55 b(ev)m(olution,)i(in)m(tended)d(for)e(deep)i
29632 (inelastic)d(scattering\))i(in)f(lepton{hadron)472 4315
29633 y(ev)m(en)m(ts,)35 b(see)f(section)f(10.4.)0 4424 y Fq(MSTP\(23\))53
29634 b(:)48 b Fw(\(D=1\))43 b(for)g(deep)i(inelastic)e(scattering)h(pro)s
29635 (cesses)i(\(10)d(and)h(83\),)j(this)c(option)g(al-)472
29636 4532 y(lo)m(ws)38 b(the)f Fj(x)h Fw(and)f Fj(Q)1228 4496
29637 y Fl(2)1305 4532 y Fw(of)g(the)g(original)d(hard)j(scattering)g(to)g(b)
29638 s(e)h(retained)f(b)m(y)h(the)f(\014nal)472 4640 y(electron.)236
29639 4749 y Fq(=)52 b(0)f(:)217 b Fw(no)41 b(correction)h(pro)s(cedure,)j
29640 (i.e.)70 b Fj(x)42 b Fw(and)g Fj(Q)2377 4712 y Fl(2)2458
29641 4749 y Fw(of)f(the)h(scattered)h(electron)f(di\013er)709
29642 4857 y(from)31 b(the)i(originally)c(generated)k Fj(x)g
29643 Fw(and)g Fj(Q)2337 4821 y Fl(2)2377 4857 y Fw(.)236 4965
29644 y Fq(=)52 b(1)f(:)217 b Fw(p)s(ost)38 b(facto)g(correction,)h(i.e.)60
29645 b(the)39 b(c)m(hange)g(of)f(electron)g(momen)m(tum,)g(b)m(y)h(initial)
29646 709 5074 y(and)g(\014nal)f(QCD)h(radiation,)g(primordial)c
29647 Fj(k)2375 5089 y Fk(?)2473 5074 y Fw(and)k(b)s(eam)f(remnan)m(t)h
29648 (treatmen)m(t,)709 5182 y(is)i(corrected)i(for)e(b)m(y)i(a)f(sh)m
29649 (u\017ing)g(of)g(momen)m(tum)e(b)s(et)m(w)m(een)k(the)f(electron)e(and)
29650 709 5290 y(hadron)28 b(side)g(in)f(the)h(\014nal)f(state.)43
29651 b(Only)27 b(pro)s(cess)i(10)f(is)f(corrected,)j(while)d(pro)s(cess)709
29652 5399 y(83)32 b(is)g(not.)236 5507 y Fq(=)52 b(2)f(:)217
29653 b Fw(as)41 b Fq(=1)p Fw(,)i(except)f(that)e(b)s(oth)h(pro)s(cess)h(10)e
29654 (and)h(83)f(are)g(treated.)69 b(This)40 b(option)g(is)709
29655 5615 y(dangerous,)31 b(esp)s(ecially)e(for)h(top,)g(since)h(it)e(ma)m
29656 (y)h(w)m(ell)f(b)s(e)h(imp)s(ossible)e(to)i(`correct')1817
29657 5953 y(152)p eop
29658 %%Page: 153 159
29659 153 158 bop 709 -18 a Fw(in)33 b(pro)s(cess)i(83:)45
29660 b(the)35 b(standard)f(DIS)g(kinematics)e(de\014nitions)i(are)g(based)g
29661 (on)g(the)709 90 y(assumption)25 b(of)g(massless)i(quarks.)42
29662 b(Therefore)27 b(in\014nite)e(lo)s(ops)g(are)h(not)g(excluded.)236
29663 198 y Fo(Note:)203 b Fw(the)36 b(correction)g(pro)s(cedure)h(will)d
29664 (fail)g(for)h(a)h(fraction)f(of)h(the)g(ev)m(en)m(ts,)k(whic)m(h)c(are)
29665 709 307 y(th)m(us)27 b(rejected)h(\(and)f(new)g(ones)g(generated)h(in)d
29666 (their)h(place\).)41 b(The)28 b(correction)e(op-)709
29667 415 y(tion)h(is)g(not)h(unam)m(biguous,)h(and)f(should)g(not)g(b)s(e)h
29668 (tak)m(en)g(to)s(o)e(seriously)-8 b(.)42 b(F)-8 b(or)27
29669 b(v)m(ery)709 523 y(small)g Fj(Q)1038 487 y Fl(2)1107
29670 523 y Fw(v)-5 b(alues,)30 b(the)f Fj(x)h Fw(is)f(not)g(exactly)h
29671 (preserv)m(ed)h(ev)m(en)g(after)e(this)g(pro)s(cedure.)0
29672 632 y Fq(MSTP\(31\))53 b(:)48 b Fw(\(D=1\))31 b(parametrization)f(of)i
29673 (total,)g(elastic)f(and)i(di\013ractiv)m(e)f(cross)h(sections.)236
29674 740 y Fq(=)52 b(0)f(:)217 b Fw(ev)m(erything)30 b(is)f(to)f(b)s(e)i
29675 (set)g(b)m(y)g(y)m(ou)g(y)m(ourself)f(in)g(the)g Fq(PYINT7)i
29676 Fw(common)d(blo)s(c)m(k.)42 b(F)-8 b(or)709 848 y(photopro)s(duction,)
29677 28 b(additionally)d(y)m(ou)k(need)g(to)f(set)h Fq(VINT\(281\))p
29678 Fw(.)45 b(Normally)26 b(y)m(ou)709 957 y(w)m(ould)k(set)h(these)h(v)-5
29679 b(alues)30 b(once)h(and)g(for)f(all)e(b)s(efore)j(the)g
29680 Fq(PYINIT)h Fw(call,)d(but)h(if)g(y)m(ou)709 1065 y(run)c(with)f(v)-5
29681 b(ariable)24 b(energies)j(\(see)g Fq(MSTP\(171\))p Fw(\))h(y)m(ou)e
29682 (can)g(also)f(set)i(it)e(b)s(efore)h(eac)m(h)709 1173
29683 y(new)35 b Fq(PYEVNT)f Fw(call.)236 1282 y Fq(=)52 b(1)f(:)217
29684 b Fw(Donnac)m(hie{Landsho\013)66 b(for)f(total)g(cross)i(section)g
29685 ([Don92)o(],)75 b(and)66 b(Sc)m(h)m(uler{)709 1390 y(Sj\177)-49
29686 b(ostrand)32 b(for)h(elastic)e(and)i(di\013ractiv)m(e)f(cross)h
29687 (sections)g([Sc)m(h94)q(,)g(Sc)m(h93a].)0 1498 y Fq(MSTP\(32\))53
29688 b(:)48 b Fw(\(D=2\))35 b Fj(Q)948 1462 y Fl(2)1024 1498
29689 y Fw(de\014nition)g(in)h(hard)g(scattering)g(for)g(2)e
29690 Fn(!)f Fw(2)j(pro)s(cesses.)57 b(F)-8 b(or)35 b(resonance)472
29691 1607 y(pro)s(duction)j Fj(Q)1051 1571 y Fl(2)1129 1607
29692 y Fw(is)f(alw)m(a)m(ys)i(c)m(hosen)h(to)e(b)s(e)k(^)-53
29693 b Fj(s)37 b Fw(=)g Fj(m)2412 1571 y Fl(2)2412 1631 y
29694 Fh(R)2470 1607 y Fw(,)j(where)f Fj(m)2909 1622 y Fh(R)3005
29695 1607 y Fw(is)f(the)g(mass)g(of)g(the)472 1715 y(resonance.)84
29696 b(F)-8 b(or)45 b(gauge)g(b)s(oson)h(scattering)f(pro)s(cesses)j
29697 Fj(V)21 b(V)71 b Fn(!)50 b Fj(V)21 b(V)67 b Fw(the)46
29698 b(W)h(or)e(Z)3740 1679 y Fl(0)472 1823 y Fw(squared)i(mass)f(is)f(used)
29699 i(as)f(scale)f(in)g(parton)g(distributions.)82 b(See)46
29700 b Fq(PARP\(34\))i Fw(for)d(a)472 1932 y(p)s(ossibilit)m(y)31
29701 b(to)h(mo)s(dify)f(the)i(c)m(hoice)g(b)s(elo)m(w)f(b)m(y)i(a)e(m)m
29702 (ultiplicativ)m(e)d(factor.)236 2040 y Fq(=)52 b(1)f(:)217
29703 b Fj(Q)786 2004 y Fl(2)853 2040 y Fw(=)28 b(2)t(^)-53
29704 b Fj(s)1053 2022 y Fw(^)1051 2040 y Fj(t)7 b Fw(^)-55
29705 b Fj(u)o(=)p Fw(\()t(^)i Fj(s)1275 2004 y Fl(2)1336 2040
29706 y Fw(+)1436 2022 y(^)1434 2040 y Fj(t)1469 2004 y Fl(2)1531
29707 2040 y Fw(+)28 b(^)-55 b Fj(u)1685 2004 y Fl(2)1724 2040
29708 y Fw(\).)236 2148 y Fq(=)52 b(2)f(:)217 b Fj(Q)786 2112
29709 y Fl(2)853 2148 y Fw(=)28 b(\()p Fj(m)1080 2112 y Fl(2)1080
29710 2173 y Fk(?)p Fl(1)1196 2148 y Fw(+)22 b Fj(m)1379 2112
29711 y Fl(2)1379 2173 y Fk(?)p Fl(2)1474 2148 y Fw(\))p Fj(=)p
29712 Fw(2.)236 2269 y Fq(=)52 b(3)f(:)217 b Fj(Q)786 2233
29713 y Fl(2)853 2269 y Fw(=)28 b(min)n(\()p Fn(\000)1235 2251
29714 y Fw(^)1234 2269 y Fj(t)q(;)17 b Fn(\000)6 b Fw(^)-55
29715 b Fj(u)p Fw(\).)236 2377 y Fq(=)52 b(4)f(:)217 b Fj(Q)786
29716 2341 y Fl(2)853 2377 y Fw(=)32 b(^)-53 b Fj(s)p Fw(.)236
29717 2486 y Fq(=)52 b(5)f(:)217 b Fj(Q)786 2450 y Fl(2)853
29718 2486 y Fw(=)28 b Fn(\000)1035 2467 y Fw(^)1034 2486 y
29719 Fj(t)p Fw(.)0 2594 y Fq(MSTP\(33\))53 b(:)48 b Fw(\(D=0\))30
29720 b(inclusion)g(of)g Fj(K)39 b Fw(factors)31 b(in)f(hard)h(cross)h
29721 (sections)g(for)f(parton{parton)f(in)m(ter-)472 2703
29722 y(actions)j(\(i.e.)43 b(for)32 b(incoming)e(quarks)k(and)e(gluons\).)
29723 236 2811 y Fq(=)52 b(0)f(:)217 b Fw(none,)33 b(i.e.)43
29724 b Fj(K)35 b Fw(=)27 b(1.)236 2919 y Fq(=)52 b(1)f(:)217
29725 b Fw(a)32 b(common)f Fj(K)40 b Fw(factor)32 b(is)g(used,)i(as)f(stored)
29726 g(in)f Fq(PARP\(31\))p Fw(.)236 3028 y Fq(=)52 b(2)f(:)217
29727 b Fw(separate)25 b(factors)g(are)g(used)h(for)e(ordinary)g(\()p
29728 Fq(PARP\(31\))p Fw(\))j(and)e(colour)f(annihilation)709
29729 3136 y(graphs)33 b(\()p Fq(PARP\(32\))p Fw(\).)236 3244
29730 y Fq(=)52 b(3)f(:)217 b Fw(A)54 b Fj(K)61 b Fw(factor)54
29731 b(is)f(in)m(tro)s(duced)i(b)m(y)g(a)f(shift)f(in)h(the)g
29732 Fj(\013)2798 3259 y Fl(s)2884 3244 y Fj(Q)2961 3208 y
29733 Fl(2)3055 3244 y Fw(argumen)m(t,)59 b Fj(\013)3607 3259
29734 y Fl(s)3704 3244 y Fw(=)709 3353 y Fj(\013)771 3368 y
29735 Fl(s)803 3353 y Fw(\()p Fq(PARP\(33\))p Fj(Q)1326 3316
29736 y Fl(2)1367 3353 y Fw(\).)0 3461 y Fq(MSTP\(34\))53 b(:)48
29737 b Fw(\(D=1\))37 b(use)j(of)e(in)m(terference)i(term)e(in)g(matrix)f
29738 (elemen)m(ts)i(for)f(QCD)g(pro)s(cesses,)k(see)472 3569
29739 y(section)33 b(8.2.1.)236 3678 y Fq(=)52 b(0)f(:)217
29740 b Fw(excluded)33 b(\(i.e.)43 b(string-inspired)31 b(matrix)g(elemen)m
29741 (ts\).)236 3786 y Fq(=)52 b(1)f(:)217 b Fw(included)32
29742 b(\(i.e.)43 b(con)m(v)m(en)m(tional)32 b(QCD)h(matrix)e(elemen)m(ts\).)
29743 236 3894 y Fo(Note:)203 b Fw(for)32 b(the)i(option)e
29744 Fq(MSTP\(34\)=1)p Fw(,)k(i.e.)45 b(in)m(terference)34
29745 b(terms)f(included,)g(these)i(terms)709 4003 y(are)25
29746 b(divided)f(b)s(et)m(w)m(een)j(the)f(di\013eren)m(t)f(p)s(ossible)f
29747 (colour)g(con\014gurations)h(according)709 4111 y(to)47
29748 b(the)i(p)s(ole)e(structure)j(of)d(the)i(\(string-inspired\))d(matrix)h
29749 (elemen)m(ts)h(for)g(the)709 4219 y(di\013eren)m(t)32
29750 b(colour)g(con\014gurations.)0 4328 y Fq(MSTP\(35\))53
29751 b(:)48 b Fw(\(D=0\))40 b(threshold)h(b)s(eha)m(viour)f(for)g(hea)m
29752 (vy-\015a)m(v)m(our)j(pro)s(duction,)f(i.e.)68 b(ISUB)41
29753 b(=)g(81,)472 4436 y(82,)30 b(84,)g(85,)g(and)g(also)f(for)g(Z)h(and)g
29754 (Z)1800 4400 y Fk(0)1852 4436 y Fw(deca)m(ys.)45 b(The)31
29755 b(non-standard)f(options)f(are)h(mainly)472 4544 y(in)m(tended)47
29756 b(for)e(top,)j(but)e(can)g(b)s(e)f(used,)50 b(with)45
29757 b(less)h(theoretical)e(reliabilit)m(y)-8 b(,)45 b(also)g(for)472
29758 4653 y(c)m(harm)38 b(and)f(b)s(ottom)f(\(for)h(Z)g(and)h(Z)1860
29759 4617 y Fk(0)1920 4653 y Fw(only)f(top)h(and)f(hea)m(vier)h(\015a)m(v)m
29760 (ours)h(are)f(a\013ected\).)472 4761 y(The)c(threshold)f(factors)f(are)
29761 h(giv)m(en)g(in)e(eqs.)j(\(117\))e(and)h(\(118\).)236
29762 4869 y Fq(=)52 b(0)f(:)217 b Fw(na)-11 b(\177)-38 b(\020v)m(e)32
29763 b(lo)m(w)m(est-order)h(matrix-elemen)m(t)e(b)s(eha)m(viour.)236
29764 4978 y Fq(=)52 b(1)f(:)217 b Fw(enhancemen)m(t)39 b(or)e(suppression)i
29765 (close)f(to)f(threshold,)i(according)e(to)g(the)h(colour)709
29766 5086 y(structure)c(of)f(the)g(pro)s(cess.)47 b(The)34
29767 b Fj(\013)2050 5101 y Fl(s)2115 5086 y Fw(v)-5 b(alue)33
29768 b(app)s(earing)f(in)g(the)i(threshold)f(factor)709 5194
29769 y(\(whic)m(h)39 b(is)f(not)h(the)g(same)f(as)h(the)g
29770 Fj(\013)2102 5209 y Fl(s)2173 5194 y Fw(of)f(the)h(lo)m(w)m(est-order)g
29771 (2)f Fn(!)g Fw(2)g(pro)s(cess\))i(is)709 5303 y(tak)m(en)d(to)f(b)s(e)h
29772 (\014xed)g(at)f(the)h(v)-5 b(alue)36 b(giv)m(en)g(in)g
29773 Fq(PARP\(35\))p Fw(.)57 b(The)37 b(threshold)g(factor)709
29774 5411 y(used)c(in)f(an)h(ev)m(en)m(t)h(is)e(stored)h(in)f
29775 Fq(PARI\(81\))p Fw(.)236 5519 y Fq(=)52 b(2)f(:)217 b
29776 Fw(as)45 b Fq(=1)p Fw(,)50 b(but)45 b(the)h Fj(\013)1454
29777 5534 y Fl(s)1532 5519 y Fw(v)-5 b(alue)45 b(app)s(earing)f(in)h(the)h
29778 (threshold)f(factor)g(is)g(tak)m(en)i(to)709 5649 y(b)s(e)42
29779 b(running,)h(with)e(argumen)m(t)h Fj(Q)2006 5613 y Fl(2)2089
29780 5649 y Fw(=)h Fj(m)2293 5664 y Fl(Q)2352 5554 y Fg(q)p
29781 2435 5554 756 4 v 95 x Fw(\()18 b(^)-67 b Fj(m)23 b Fn(\000)f
29782 Fw(2)p Fj(m)2814 5664 y Fl(Q)2873 5649 y Fw(\))2911 5620
29783 y Fl(2)2973 5649 y Fw(+)g(\000)3132 5615 y Fl(2)3132
29784 5673 y(Q)3191 5649 y Fw(.)71 b(Here)42 b Fj(m)3613 5664
29785 y Fl(Q)3714 5649 y Fw(is)1817 5953 y(153)p eop
29786 %%Page: 154 160
29787 154 159 bop 709 -18 a Fw(the)30 b(nominal)d(hea)m(vy-quark)k(mass,)f
29788 (\000)2122 -3 y Fl(Q)2211 -18 y Fw(is)f(the)h(width)f(of)g(the)h(hea)m
29789 (vy-quark-mass)709 90 y(distribution,)35 b(and)55 b(^)-68
29790 b Fj(m)37 b Fw(is)f(the)g(in)m(v)-5 b(arian)m(t)35 b(mass)h(of)g(the)h
29791 (hea)m(vy-quark)h(pair.)54 b(The)709 198 y(\000)770 213
29792 y Fl(Q)865 198 y Fw(v)-5 b(alue)36 b(has)h(to)g(b)s(e)g(stored)g(b)m(y)
29793 g(the)g(user)h(in)e Fq(PARP\(36\))p Fw(.)58 b(The)37
29794 b(regularization)709 307 y(of)32 b Fj(\013)882 322 y
29795 Fl(s)946 307 y Fw(at)h(lo)m(w)f Fj(Q)1319 270 y Fl(2)1391
29796 307 y Fw(is)g(giv)m(en)h(b)m(y)i Fq(MSTP\(36\))p Fw(.)0
29797 415 y Fq(MSTP\(36\))53 b(:)48 b Fw(\(D=2\))33 b(regularization)f(of)i
29798 Fj(\013)1664 430 y Fl(s)1730 415 y Fw(in)g(the)h(limit)c
29799 Fj(Q)2328 379 y Fl(2)2398 415 y Fn(!)g Fw(0)j(for)g(the)h(threshold)f
29800 (factor)g(ob-)472 523 y(tainable)26 b(in)g(the)h Fq(MSTP\(35\)=2)i
29801 Fw(option;)f(see)g Fq(MSTU\(115\))h Fw(for)d(a)h(list)e(of)h(the)h(p)s
29802 (ossibilities.)0 632 y Fq(MSTP\(37\))53 b(:)48 b Fw(\(D=1\))23
29803 b(inclusion)g(of)h(running)g(quark)h(masses)h(in)d(Higgs)h(pro)s
29804 (duction)g(\(q)p 3241 579 52 4 v(q)k Fn(!)f Fw(H)3520
29805 595 y Fl(0)3560 632 y Fw(\))d(and)472 740 y(deca)m(y)38
29806 b(\(H)858 704 y Fl(0)931 740 y Fn(!)33 b Fw(q)p 1115
29807 687 V(q)q(\))j(couplings.)53 b(Also)35 b(included)h(for)f(c)m(harged)i
29808 (Higgs)e(pro)s(duction)g(and)472 848 y(deca)m(y)-8 b(,)31
29809 b(but)e(there)h(only)e(for)g(the)h(do)m(wn-t)m(yp)s(e)h(quark,)g(since)
29810 f(the)g(up-t)m(yp)s(e)h(one)f(normally)472 957 y(is)k(a)f(top)g(quark,)
29811 i(with)e Fj(m)1436 972 y Fl(t)1496 957 y Fn(\031)c Fj(m)1686
29812 972 y Fl(H)1743 957 y Fw(.)236 1065 y Fq(=)52 b(0)f(:)217
29813 b Fw(not)32 b(included,)g(i.e.)42 b(\014xed)34 b(quark)f(masses)g(are)f
29814 (used)h(according)f(to)g(the)g(v)-5 b(alues)32 b(in)709
29815 1173 y(the)h Fq(PMAS)g Fw(arra)m(y)-8 b(.)236 1282 y
29816 Fq(=)52 b(1)f(:)217 b Fw(included,)26 b(with)g(running)f(starting)g
29817 (from)f(the)i(v)-5 b(alue)25 b(giv)m(en)h(in)f(the)h
29818 Fq(PMAS)h Fw(arra)m(y)-8 b(,)27 b(at)709 1390 y(a)g Fj(Q)862
29819 1405 y Fl(0)930 1390 y Fw(scale)h(of)34 b Fq(PARP\(37\))c
29820 Fw(times)d(the)i(quark)f(mass)g(itself,)g(up)g(to)g(a)f
29821 Fj(Q)h Fw(scale)g(giv)m(en)709 1498 y(b)m(y)41 b(the)f(Higgs)f(mass.)66
29822 b(This)40 b(option)f(only)h(w)m(orks)h(when)h Fj(\013)2975
29823 1513 y Fl(s)3047 1498 y Fw(is)d(allo)m(w)m(ed)g(to)h(run)709
29824 1607 y(\(so)30 b(one)h(can)g(de\014ne)h(a)e(\003)g(v)-5
29825 b(alue\).)43 b(Therefore)31 b(it)f(is)g(only)g(applied)f(if)h
29826 (additionally)709 1715 y Fq(MSTP\(2\))p Fn(\025)g Fw(1.)0
29827 1823 y Fq(MSTP\(38\))53 b(:)48 b Fw(\(D=5\))31 b(handling)f(of)h(quark)
29828 i(lo)s(op)d(masses)i(in)f(the)i(b)s(o)m(x)f(graphs)g(gg)c
29829 Fn(!)g Fj(\015)5 b(\015)36 b Fw(and)c(gg)d Fn(!)472 1932
29830 y Fw(g)q Fj(\015)5 b Fw(.)236 2040 y Fq(=)52 b(0)f(:)217
29831 b Fw(the)35 b(program)e(will)g(for)h(eac)m(h)i(\015a)m(v)m(our)g
29832 (automatically)31 b(c)m(ho)s(ose)36 b(the)f(massless)g(ap-)709
29833 2148 y(pro)m(ximation)45 b(for)i(ligh)m(t)f(quarks)j(and)f(the)g(full)e
29834 (massiv)m(e)i(form)m(ulae)e(for)h(hea)m(vy)709 2257 y(quarks,)i(with)44
29835 b(a)h(dividing)e(line)g(b)s(et)m(w)m(een)k(ligh)m(t)c(and)i(hea)m(vy)i
29836 (quarks)f(that)e(de-)709 2365 y(p)s(ends)33 b(on)g(the)g(actual)i(^)-53
29837 b Fj(s)33 b Fw(scale.)236 2473 y Fn(\025)p Fq(1)52 b(:)242
29838 b Fw(the)36 b(program)e(will)g(use)j(the)f(massless)g(appro)m(ximation)
29839 e(throughout,)i(assuming)709 2582 y(the)31 b(presence)i(of)k
29840 Fq(MSTP\(38\))c Fw(e\013ectiv)m(ely)e(massless)g(quark)h(sp)s(ecies)f
29841 (\(ho)m(w)m(ev)m(er,)j(at)709 2690 y(most)29 b(8\).)42
29842 b(Normally)28 b(one)i(w)m(ould)g(use)h Fq(=5)g Fw(for)f(the)g
29843 (inclusion)e(of)i(all)e(quarks)j(up)g(to)709 2798 y(b)s(ottom,)g(and)i
29844 Fq(=6)g Fw(to)f(include)g(top)g(as)h(w)m(ell.)236 2907
29845 y Fo(W)-9 b(arning:)47 b Fw(for)53 b Fq(=0)p Fw(,)60
29846 b(n)m(umerical)52 b(instabilities)f(ma)m(y)j(arise)f(for)g(scattering)h
29847 (at)g(small)d(an-)709 3015 y(gles.)45 b(Users)34 b(are)f(therefore)h
29848 (recommended)f(in)g(this)f(case)i(to)f(set)h Fq(CKIN\(27\))h
29849 Fw(and)709 3123 y Fq(CKIN\(28\))g Fw(so)e(as)g(to)g(exclude)h(the)f
29850 (range)g(of)g(scattering)g(angles)f(that)h(are)g(not)g(of)709
29851 3232 y(in)m(terest)g(an)m(yw)m(a)m(y)-8 b(.)0 3340 y
29852 Fq(MSTP\(39\))53 b(:)48 b Fw(\(D=2\))41 b(c)m(hoice)h(of)f
29853 Fj(Q)1373 3304 y Fl(2)1455 3340 y Fw(scale)h(for)f(parton)h
29854 (distributions)e(and)i(initial)c(state)43 b(parton)472
29855 3458 y(sho)m(w)m(ers)35 b(in)d(pro)s(cesses)j(gg)e(or)f(q)p
29856 1668 3405 V(q)d Fn(!)e Fw(Q)p 1951 3380 76 4 v(QH.)236
29857 3566 y Fq(=)52 b(1)f(:)217 b Fj(m)794 3530 y Fl(2)794
29858 3591 y(Q)853 3566 y Fw(.)236 3691 y Fq(=)52 b(2)f(:)217
29859 b Fw(max)o(\()p Fj(m)1013 3655 y Fl(2)1013 3716 y Fk(?)p
29860 Fl(Q)1127 3691 y Fj(;)17 b(m)1256 3655 y Fl(2)1256 3730
29861 y Fk(?)p 1312 3675 55 4 v Fl(Q)1370 3691 y Fw(\))28 b(=)g
29862 Fj(m)1625 3655 y Fl(2)1625 3716 y(Q)1706 3691 y Fw(+)22
29863 b(max\()p Fj(p)2073 3655 y Fl(2)2073 3716 y Fk(?)p Fl(Q)2186
29864 3691 y Fj(;)17 b(p)2279 3655 y Fl(2)2279 3730 y Fk(?)p
29865 2335 3675 V Fl(Q)2393 3691 y Fw(\).)236 3830 y Fq(=)52
29866 b(3)f(:)217 b Fj(m)794 3794 y Fl(2)794 3855 y(H)851 3830
29867 y Fw(,)42 b(where)f Fj(m)1294 3845 y Fl(H)1391 3830 y
29868 Fw(is)e(the)i(actual)e(Higgs)g(mass)h(of)f(the)h(ev)m(en)m(t,)k(not)c
29869 (the)g(nominal)709 3939 y(one.)236 4047 y Fq(=)52 b(4)f(:)221
29870 b Fw(^)-53 b Fj(s)27 b Fw(=)h(\()p Fj(p)973 4062 y Fl(H)1052
29871 4047 y Fw(+)22 b Fj(p)1199 4062 y Fl(Q)1280 4047 y Fw(+)g
29872 Fj(p)p 1427 4019 60 4 v 28 x Fl(Q)1486 4047 y Fw(\))1524
29873 4011 y Fl(2)1563 4047 y Fw(.)0 4172 y Fq(MSTP\(40\))53
29874 b(:)48 b Fw(\(D=0\))28 b(option)f(for)h(Coulom)m(b)g(correction)g(in)g
29875 (pro)s(cess)i(25)f(W)2844 4136 y Fl(+)2903 4172 y Fw(W)3004
29876 4136 y Fk(\000)3092 4172 y Fw(pair)f(pro)s(duction,)472
29877 4281 y(see)47 b([Kho96)o(].)82 b(The)46 b(v)-5 b(alue)44
29878 b(of)h(the)h(Coulom)m(b)e(correction)h(factor)f(for)h(eac)m(h)h(ev)m
29879 (en)m(t)h(is)472 4389 y(stored)34 b(in)d Fq(VINT\(95\))p
29880 Fw(.)236 4497 y Fq(=)52 b(0)f(:)217 b Fw(\\no)32 b(Coulom)m(b".)42
29881 b(Is)33 b(the)g(often-used)h(reference)g(p)s(oin)m(t.)236
29882 4606 y Fq(=)52 b(1)f(:)217 b Fw(\\unstable)32 b(Coulom)m(b",)f(giv)m
29883 (es)i(the)g(correct)g(\014rst-order)f(expression)i(v)-5
29884 b(alid)30 b(in)i(the)709 4714 y(non-relativistic)40 b(limit.)73
29885 b(Is)44 b(the)g(reasonable)f(option)f(to)i(use)g(as)g(a)f(\\b)s(est)h
29886 (b)s(et")709 4822 y(description)32 b(of)g(LEP)h(2)f(ph)m(ysics.)236
29887 4931 y Fq(=)52 b(2)f(:)217 b Fw(\\second-order)35 b(Coulom)m(b")e(giv)m
29888 (es)j(the)f(correct)g(second-order)g(expression)h(v)-5
29889 b(alid)709 5039 y(in)30 b(the)i(non-relativistic)d(limit.)40
29890 b(In)32 b(principle)e(this)h(is)g(ev)m(en)i(b)s(etter)f(than)g
29891 Fq(=1)p Fw(,)g(but)709 5147 y(the)38 b(di\013erences)h(are)e
29892 (negligible)e(and)j(computer)f(time)g(do)s(es)h(go)f(up)h(b)s(ecause)h
29893 (of)709 5256 y(the)33 b(need)g(for)f(a)h(n)m(umerical)e(in)m(tegration)
29894 g(in)g(the)i(w)m(eigh)m(t)g(factor.)236 5364 y Fq(=)52
29895 b(3)f(:)217 b Fw(\\damp)s(ened)28 b(Coulom)m(b",)g(where)h(the)g
29896 (unstable)f(Coulom)m(b)g(expression)h(has)g(b)s(een)709
29897 5472 y(mo)s(di\014ed)41 b(b)m(y)i(a)f(\(1)28 b Fn(\000)h
29898 Fj(\014)6 b Fw(\))1673 5436 y Fl(2)1754 5472 y Fw(factor)42
29899 b(in)f(fron)m(t)h(of)g(the)h(arctan)f(term.)72 b(This)42
29900 b(is)g(in-)709 5581 y(tended)32 b(as)g(an)g(alternativ)m(e)e(to)i
29901 Fq(=1)g Fw(within)e(the)i(band)g(of)f(our)h(uncertain)m(t)m(y)g(in)f
29902 (the)1817 5953 y(154)p eop
29903 %%Page: 155 161
29904 155 160 bop 709 -18 a Fw(relativistic)30 b(limit.)236
29905 90 y Fq(=)52 b(4)f(:)217 b Fw(\\stable)29 b(Coulom)m(b",)f(i.e.)42
29906 b(e\013ects)31 b(are)e(calculated)g(as)g(if)g(the)g(W)q('s)i(w)m(ere)g
29907 (stable.)42 b(Is)709 198 y(incorrect,)32 b(and)h(mainly)d(in)m(tended)k
29908 (for)e(comparison)f(purp)s(oses.)236 307 y Fo(Note)37
29909 b(:)166 b Fw(Unfortunately)44 b(the)h(W)q('s)g(at)f(LEP)h(2)f(are)h
29910 (not)f(in)f(the)i(non-relativistic)d(limit,)709 415 y(so)36
29911 b(the)h(separation)f(of)g(Coulom)m(b)f(e\013ects)j(from)d(other)i
29912 (radiativ)m(e)e(corrections)i(is)709 523 y(not)j(gauge)h(in)m(v)-5
29913 b(arian)m(t.)66 b(The)41 b(options)f(ab)s(o)m(v)m(e)i(should)e
29914 (therefore)i(b)s(e)e(view)m(ed)i(as)709 632 y(indicativ)m(e)31
29915 b(only)-8 b(,)32 b(not)h(as)f(the)h(ultimate)d(answ)m(er.)0
29916 740 y Fq(MSTP\(41\))53 b(:)48 b Fw(\(D=1\))38 b(master)h(switc)m(h)h
29917 (for)e(all)f(resonance)k(deca)m(ys)g(\(Z)2672 704 y Fl(0)2711
29918 740 y Fw(,)f(W)2879 704 y Fk(\006)2939 740 y Fw(,)h(H)3080
29919 704 y Fl(0)3119 740 y Fw(,)g(Z)3247 704 y Fk(0)p Fl(0)3305
29920 740 y Fw(,)g(W)3474 704 y Fk(0\006)3553 740 y Fw(,)g(H)3694
29921 704 y Fk(0)p Fl(0)3752 740 y Fw(,)472 848 y(A)545 812
29922 y Fl(0)585 848 y Fw(,)33 b(H)718 812 y Fk(\006)777 848
29923 y Fw(,)f(L)897 863 y Fl(Q)956 848 y Fw(,)h(R)1088 812
29924 y Fl(0)1127 848 y Fw(,)g(d)1241 812 y Fk(\003)1280 848
29925 y Fw(,)g(u)1394 812 y Fk(\003)1434 848 y Fw(,)f(.)16
29926 b(.)g(.)g(\).)236 957 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236
29927 1065 y Fq(=)52 b(1)f(:)217 b Fw(on.)236 1173 y Fo(Note:)203
29928 b Fw(also)45 b(for)h Fq(MSTP\(41\)=1)j Fw(it)c(is)h(p)s(ossible)f(to)h
29929 (switc)m(h)h(o\013)f(the)h(deca)m(ys)h(of)e(sp)s(eci\014c)709
29930 1282 y(resonances)29 b(b)m(y)f(using)g(the)f Fq(MDCY\(KC,1\))k
29931 Fw(switc)m(hes)e(in)d Fm(Jetset)p Fw(.)41 b(Ho)m(w)m(ev)m(er,)31
29932 b(since)709 1390 y(the)d Fq(MDCY)i Fw(v)-5 b(alues)28
29933 b(are)g(o)m(v)m(erwritten)h(in)f(the)h Fq(PYINIT)g Fw(call,)f
29934 (individual)e(resonances)709 1498 y(should)32 b(b)s(e)h(switc)m(hed)h
29935 (o\013)e(after)g(the)h Fq(PYINIT)h Fw(call.)236 1607
29936 y Fo(W)-9 b(arning:)47 b Fw(lepto)s(quark)30 b(deca)m(ys)h(m)m(ust)f
29937 (not)g(b)s(e)g(switc)m(hed)h(o\013)e(if)g(one)h(later)f(on)g(in)m
29938 (tends)i(to)e(let)709 1715 y(lepto)s(quarks)k(deca)m(y)h(\(with)e
29939 Fq(LUEXEC)p Fw(\);)i(see)g(section)e(8.5.3.)0 1823 y
29940 Fq(MSTP\(42\))53 b(:)48 b Fw(\(D=1\))33 b(mass)h(treatmen)m(t)f(in)g(2)
29941 d Fn(!)f Fw(2)34 b(pro)s(cesses,)i(where)f(the)g(\014nal-state)e
29942 (resonances)472 1932 y(ha)m(v)m(e)24 b(\014nite)f(width)f(\(see)i
29943 Fq(PARP\(41\))p Fw(\).)42 b(\(Do)s(es)23 b(not)f(apply)h(for)f(the)h
29944 (pro)s(duction)f(of)g(a)h(single)472 2040 y Fj(s)p Fw(-c)m(hannel)33
29945 b(resonance,)i(where)f(the)f(mass)g(app)s(ears)g(explicitly)e(in)h(the)
29946 h(cross)h(section)f(of)472 2148 y(the)g(pro)s(cess,)h(and)f(th)m(us)h
29947 (is)e(alw)m(a)m(ys)h(selected)h(with)e(width.\))236 2257
29948 y Fq(=)52 b(0)f(:)217 b Fw(particles)31 b(are)i(put)g(on)f(the)h(mass)g
29949 (shell.)236 2365 y Fq(=)52 b(1)f(:)217 b Fw(mass)32 b(generated)i
29950 (according)e(to)g(a)g(Breit{Wigner.)0 2473 y Fq(MSTP\(43\))53
29951 b(:)48 b Fw(\(D=3\))42 b(treatmen)m(t)i(of)e(Z)1523 2437
29952 y Fl(0)1562 2473 y Fj(=\015)1667 2437 y Fk(\003)1750
29953 2473 y Fw(in)m(terference)i(in)f(matrix)f(elemen)m(ts.)76
29954 b(So)43 b(far)g(imple-)472 2582 y(men)m(ted)f(in)d(subpro)s(cesses)44
29955 b(1,)e(15,)h(19,)f(22,)g(30)e(and)h(35;)j(in)c(other)g(pro)s(cesses)j
29956 (what)e(is)472 2690 y(called)32 b(a)g(Z)890 2654 y Fl(0)962
29957 2690 y Fw(is)g(really)f(a)h(Z)1469 2654 y Fl(0)1541 2690
29958 y Fw(only)-8 b(,)32 b(without)g(the)h Fj(\015)2361 2654
29959 y Fk(\003)2433 2690 y Fw(piece.)236 2798 y Fq(=)52 b(1)f(:)217
29960 b Fw(only)32 b Fj(\015)979 2762 y Fk(\003)1051 2798 y
29961 Fw(included.)236 2907 y Fq(=)52 b(2)f(:)217 b Fw(only)32
29962 b(Z)983 2871 y Fl(0)1054 2907 y Fw(included.)236 3015
29963 y Fq(=)52 b(3)f(:)217 b Fw(complete)32 b(Z)1181 2979
29964 y Fl(0)1220 3015 y Fj(=\015)1325 2979 y Fk(\003)1396
29965 3015 y Fw(structure)i(\(with)e(in)m(terference\))i(included.)0
29966 3123 y Fq(MSTP\(44\))53 b(:)48 b Fw(\(D=7\))31 b(treatmen)m(t)i(of)f(Z)
29967 1491 3087 y Fk(0)p Fl(0)1549 3123 y Fj(=)p Fw(Z)1658
29968 3087 y Fl(0)1697 3123 y Fj(=\015)1802 3087 y Fk(\003)1874
29969 3123 y Fw(in)m(terference)i(in)d(matrix)g(elemen)m(ts.)236
29970 3232 y Fq(=)52 b(1)f(:)217 b Fw(only)32 b Fj(\015)979
29971 3196 y Fk(\003)1051 3232 y Fw(included.)236 3340 y Fq(=)52
29972 b(2)f(:)217 b Fw(only)32 b(Z)983 3304 y Fl(0)1054 3340
29973 y Fw(included.)236 3448 y Fq(=)52 b(3)f(:)217 b Fw(only)32
29974 b(Z)983 3412 y Fk(0)p Fl(0)1073 3448 y Fw(included.)236
29975 3557 y Fq(=)52 b(4)f(:)217 b Fw(only)32 b(Z)983 3521
29976 y Fl(0)1022 3557 y Fj(=\015)1127 3521 y Fk(\003)1199
29977 3557 y Fw(\(with)g(in)m(terference\))h(included.)236
29978 3665 y Fq(=)52 b(5)f(:)217 b Fw(only)32 b(Z)983 3629
29979 y Fk(0)p Fl(0)1041 3665 y Fj(=\015)1146 3629 y Fk(\003)1218
29980 3665 y Fw(\(with)g(in)m(terference\))h(included.)236
29981 3774 y Fq(=)52 b(6)f(:)217 b Fw(only)32 b(Z)983 3737
29982 y Fk(0)p Fl(0)1041 3774 y Fj(=)p Fw(Z)1150 3737 y Fl(0)1221
29983 3774 y Fw(\(with)g(in)m(terference\))i(included.)236
29984 3882 y Fq(=)52 b(7)f(:)217 b Fw(complete)32 b(Z)1181
29985 3846 y Fk(0)p Fl(0)1239 3882 y Fj(=)p Fw(Z)1348 3846
29986 y Fl(0)1387 3882 y Fj(=\015)1492 3846 y Fk(\003)1563
29987 3882 y Fw(structure)i(\(with)e(in)m(terference\))i(included.)0
29988 3990 y Fq(MSTP\(45\))53 b(:)48 b Fw(\(D=3\))31 b(treatmen)m(t)i(of)f
29989 (WW)e Fn(!)d Fw(WW)34 b(structure)g(\(ISUB)f(=)f(77\).)236
29990 4099 y Fq(=)52 b(1)f(:)217 b Fw(only)32 b(W)1024 4062
29991 y Fl(+)1083 4099 y Fw(W)1184 4062 y Fl(+)1272 4099 y
29992 Fn(!)27 b Fw(W)1500 4062 y Fl(+)1560 4099 y Fw(W)1661
29993 4062 y Fl(+)1753 4099 y Fw(and)32 b(W)2043 4062 y Fk(\000)2103
29994 4099 y Fw(W)2204 4062 y Fk(\000)2291 4099 y Fn(!)c Fw(W)2520
29995 4062 y Fk(\000)2579 4099 y Fw(W)2680 4062 y Fk(\000)2772
29996 4099 y Fw(included.)236 4207 y Fq(=)52 b(2)f(:)217 b
29997 Fw(only)32 b(W)1024 4171 y Fl(+)1083 4207 y Fw(W)1184
29998 4171 y Fk(\000)1272 4207 y Fn(!)27 b Fw(W)1500 4171 y
29999 Fl(+)1560 4207 y Fw(W)1661 4171 y Fk(\000)1753 4207 y
30000 Fw(included.)236 4315 y Fq(=)52 b(3)f(:)217 b Fw(all)30
30001 b(c)m(harge)j(com)m(binations)e(WW)f Fn(!)d Fw(WW)34
30002 b(included.)0 4424 y Fq(MSTP\(46\))53 b(:)48 b Fw(\(D=1\))34
30003 b(treatmen)m(t)h(of)f Fj(V)21 b(V)54 b Fn(!)31 b Fj(V)1836
30004 4387 y Fk(0)1860 4424 y Fj(V)1938 4387 y Fk(0)1996 4424
30005 y Fw(structures)37 b(\(ISUB)e(=)g(71{77\),)f(where)i
30006 Fj(V)57 b Fw(rep-)472 4532 y(resen)m(ts)35 b(a)d(longitudinal)d(gauge)k
30007 (b)s(oson.)236 4640 y Fq(=)52 b(0)f(:)217 b Fw(only)33
30008 b Fj(s)p Fw(-c)m(hannel)h(Higgs)e(exc)m(hange)k(included)d(\(where)i
30009 (existing\).)47 b(With)33 b(this)g(op-)709 4749 y(tion,)d(subpro)s
30010 (cesses)k(71{72)c(and)h(76{77)f(will)f(essen)m(tially)i(b)s(e)g(equiv)
30011 -5 b(alen)m(t)31 b(to)g(sub-)709 4857 y(pro)s(cesses)g(5)e(and)g(8,)g
30012 (resp)s(ectiv)m(ely)-8 b(,)31 b(with)e(the)h(prop)s(er)f(deca)m(y)h(c)m
30013 (hannels)g(\(i.e.)42 b(only)709 4965 y(Z)769 4929 y Fl(0)808
30014 4965 y Fw(Z)868 4929 y Fl(0)936 4965 y Fw(or)29 b(W)1153
30015 4929 y Fl(+)1212 4965 y Fw(W)1313 4929 y Fk(\000)1373
30016 4965 y Fw(\))g(set)h(via)f Fq(MDME)p Fw(.)h(The)g(description)f
30017 (obtained)g(for)g(subpro)s(cesses)709 5074 y(5)j(and)h(8)f(in)g(this)g
30018 (case)h(is)g(more)e(sophisticated,)i(ho)m(w)m(ev)m(er;)i(see)f(section)
30019 e(8.4.2.)236 5182 y Fq(=)52 b(1)f(:)217 b Fw(all)30 b(graphs)j(con)m
30020 (tributing)f(to)g Fj(V)21 b(V)50 b Fn(!)27 b Fj(V)2224
30021 5146 y Fk(0)2248 5182 y Fj(V)2326 5146 y Fk(0)2382 5182
30022 y Fw(pro)s(cesses)35 b(are)d(included.)236 5290 y Fq(=)52
30023 b(2)f(:)217 b Fw(only)27 b(graphs)g(not)g(in)m(v)m(olving)g(Higgs)f
30024 (exc)m(hange)j(\(either)e(in)g Fj(s)p Fw(,)h Fj(t)g Fw(or)f
30025 Fj(u)g Fw(c)m(hannel\))g(are)709 5399 y(included;)32
30026 b(this)f(option)g(then)i(giv)m(es)f(the)h(na)-11 b(\177)-38
30027 b(\020v)m(e)32 b(b)s(eha)m(viour)g(one)g(w)m(ould)g(exp)s(ect)i(if)709
30028 5507 y(no)23 b(Higgs)f(exists,)k(including)21 b(unph)m(ysical)i
30029 (unitarit)m(y)f(violations)f(at)i(high)f(energies.)236
30030 5615 y Fq(=)52 b(3)f(:)217 b Fw(the)41 b(strongly)g(in)m(teracting)e
30031 (Higgs-lik)m(e)g(mo)s(del)g(of)i(Dobado,)h(Herrero)f(and)g(T)-8
30032 b(er-)1817 5953 y(155)p eop
30033 %%Page: 156 162
30034 156 161 bop 709 -18 a Fw(ron)44 b([Dob91)o(])h(with)g(P)m(ad)m(\023)-46
30035 b(e)46 b(unitarization.)77 b(Note)45 b(that)g(to)f(use)i(this)f(option)
30036 e(it)709 90 y(is)d(necessary)j(to)e(set)g(the)h(Higgs)e(mass)h(to)f(a)h
30037 (large)f(n)m(um)m(b)s(er)h(lik)m(e)f(20)g(T)-8 b(eV)42
30038 b(\(i.e.)709 198 y Fq(PMAS\(25,1\)=20000)p Fw(\).)k(The)28
30039 b(parameter)f Fj(\027)34 b Fw(is)27 b(stored)h(in)e Fq(PARP\(44\))p
30040 Fw(,)31 b(but)d(should)709 307 y(not)k(ha)m(v)m(e)i(to)e(b)s(e)h(c)m
30041 (hanged.)236 415 y Fq(=)52 b(4)f(:)217 b Fw(as)32 b Fq(=3)p
30042 Fw(,)i(but)e(with)h(K-matrix)d(unitarization.)236 523
30043 y Fq(=)52 b(5)f(:)217 b Fw(the)31 b(strongly)f(in)m(teracting)g
30044 (QCD-lik)m(e)f(mo)s(del)g(of)i(Dobado,)f(Herrero)h(and)g(T)-8
30045 b(erron)709 632 y([Dob91)o(])25 b(with)g(P)m(ad)m(\023)-46
30046 b(e)26 b(unitarization.)38 b(The)26 b(parameter)f Fj(\027)31
30047 b Fw(is)25 b(stored)h(in)e Fq(PARP\(44\))p Fw(,)709 740
30048 y(but)37 b(should)f(not)h(ha)m(v)m(e)g(to)g(b)s(e)g(c)m(hanged.)56
30049 b(The)38 b(e\013ectiv)m(e)g(tec)m(hni-)p Fj(\032)e Fw(mass)h(in)f(this)
30050 709 848 y(mo)s(del)42 b(is)i(stored)g(in)f Fq(PARP\(45\))p
30051 Fw(;)52 b(b)m(y)45 b(default)e(it)g(is)h(2054)f(GeV,)h(whic)m(h)h(is)e
30052 (the)709 957 y(exp)s(ected)32 b(v)-5 b(alue)29 b(for)h(three)h(tec)m
30053 (hnicolors,)f(based)h(on)f(scaling)f(up)h(the)h(ordinary)e
30054 Fj(\032)709 1065 y Fw(mass)j(appropriately)-8 b(.)236
30055 1173 y Fq(=)52 b(6)f(:)217 b Fw(as)41 b Fq(=5)p Fw(,)j(but)d(with)g
30056 (K-matrix)e(unitarization.)66 b(While)40 b Fq(PARP\(45\))j
30057 Fw(still)c(is)h(a)h(pa-)709 1282 y(rameter)c(of)g(the)i(mo)s(del,)e
30058 (this)h(t)m(yp)s(e)g(of)g(unitarization)d(do)s(es)j(not)g(giv)m(e)g
30059 (rise)f(to)h(a)709 1390 y(resonance)c(at)e(a)g(mass)h(of)39
30060 b Fq(PARP\(45\))p Fw(.)0 1498 y Fq(MSTP\(47\))53 b(:)48
30061 b Fw(\(D=1\))43 b(\(C\))i(angular)e(orien)m(tation)f(of)i(deca)m(y)i
30062 (pro)s(ducts)f(of)e(resonances)k(\(Z)3479 1462 y Fl(0)3518
30063 1498 y Fw(,)g(W)3693 1462 y Fk(\006)3752 1498 y Fw(,)472
30064 1607 y(H)545 1571 y Fl(0)585 1607 y Fw(,)37 b(Z)709 1571
30065 y Fk(0)p Fl(0)767 1607 y Fw(,)f(W)931 1571 y Fk(0\006)1010
30066 1607 y Fw(,)h(etc.\),)g(either)f(when)h(pro)s(duced)f(singly)f(or)h(in)
30067 f(pairs)g(\(also)g(from)f(an)i(H)3740 1571 y Fl(0)472
30068 1715 y Fw(deca)m(y\),)e(or)f(in)e(com)m(bination)g(with)h(a)g(single)g
30069 (quark,)h(gluon)f(or)g(photon.)236 1823 y Fq(=)52 b(0)f(:)217
30070 b Fw(indep)s(enden)m(t)49 b(deca)m(y)h(of)e(eac)m(h)h(resonance,)k
30071 (isotropic)47 b(in)h(c.m.)90 b(frame)47 b(of)h(the)709
30072 1932 y(resonance.)236 2040 y Fq(=)k(1)f(:)217 b Fw(correlated)43
30073 b(deca)m(y)i(angular)e(distributions)f(according)h(to)g(prop)s(er)h
30074 (matrix)e(ele-)709 2148 y(men)m(ts,)33 b(to)f(the)h(exten)m(t)h(these)g
30075 (are)f(kno)m(wn.)0 2257 y Fq(MSTP\(48\))53 b(:)48 b Fw(\(D=2\))32
30076 b(\(C\))i(p)s(ossibilit)m(y)d(to)i(switc)m(h)h(b)s(et)m(w)m(een)h(top)f
30077 (deca)m(y)g(b)s(efore)g(or)f(after)g(fragmen-)472 2365
30078 y(tation.)52 b(As)37 b(a)e(rule)h(of)f(th)m(um)m(b,)i(option)e(0)h(is)f
30079 (recommendable)g(for)g(top)h(masses)h(b)s(elo)m(w)472
30080 2473 y(120)42 b(GeV)g(and)h(option)e(1)h(ab)s(o)m(v)m(e)h(that,)i(but)e
30081 (clearly)e(there)i(is)f(a)g(gradual)f(transition)472
30082 2582 y(b)s(et)m(w)m(een)35 b(the)e(t)m(w)m(o.)236 2690
30083 y Fq(=)52 b(0)f(:)217 b Fw(top)38 b(quarks)h(fragmen)m(t)f(to)g(top)g
30084 (hadrons,)i(whic)m(h)f(subsequen)m(tly)h(deca)m(y)-8
30085 b(.)62 b(The)39 b(b)709 2798 y(quark)32 b(ma)m(y)f(b)s(e)h(allo)m(w)m
30086 (ed)f(to)g(sho)m(w)m(er,)j(see)f Fq(MSTJ\(27\))p Fw(.)45
30087 b(The)33 b(W)g(pro)s(duced)f(in)f(the)709 2907 y(deca)m(y)j(is)e(co)s
30088 (de)h(89.)236 3015 y Fq(=)52 b(1)f(:)217 b Fw(top)31
30089 b(quarks)h(deca)m(y)-8 b(,)33 b(t)27 b Fn(!)g Fw(bW)1830
30090 2979 y Fl(+)1890 3015 y Fw(,)32 b(and)f(thereafter)g(the)h(b)f(quark)h
30091 (fragmen)m(ts.)43 b(P)m(ar-)709 3123 y(ton)d(sho)m(w)m(ering)i(of)f
30092 (the)g(b)g(is)f(automatically)e(included,)43 b(but)e(can)g(b)s(e)g
30093 (switc)m(hed)709 3232 y(o\013)36 b(with)g Fq(MSTP\(71\))p
30094 Fw(.)56 b(The)38 b(W)f(has)g(the)g(ordinary)f(co)s(de)g(24,)h(and)f(is)
30095 g(allo)m(w)m(ed)g(to)709 3340 y(deca)m(y)e(isotropically)-8
30096 b(.)236 3448 y Fq(=)52 b(2)f(:)217 b Fw(as)36 b Fq(=1)p
30097 Fw(,)h(except)h(that)d(the)i(W)g(deca)m(y)g(is)f(anisotropic,)f(as)h
30098 (exp)s(ected)i(from)d(W)i(p)s(o-)709 3557 y(larization)29
30099 b(in)j(the)h(top)f(deca)m(y)-8 b(.)236 3665 y Fo(Note:)203
30100 b Fw(in)36 b(options)h(1)g(and)g(2)g(the)h(cross)g(section)g(is)e
30101 (reduced)j(to)e(tak)m(e)h(in)m(to)f(accoun)m(t)h(re-)709
30102 3774 y(strictions)k(on)g(allo)m(w)m(ed)g(deca)m(y)i(mo)s(des,)h(while)d
30103 (no)h(suc)m(h)h(reduction)f(o)s(ccurs)g(for)709 3882
30104 y(option)31 b(0.)43 b(See)34 b(further)f(section)f(8.2.2.)0
30105 3990 y Fq(MSTP\(49\))53 b(:)48 b Fw(\(D=2\))36 b(\(C\))i(p)s(ossibilit)
30106 m(y)d(to)j(switc)m(h)g(b)s(et)m(w)m(een)h(fourth)f(generation)e(deca)m
30107 (y)j(b)s(efore)f(or)472 4099 y(after)24 b(fragmen)m(tation.)39
30108 b(F)-8 b(or)23 b(the)i(quarks)g(h)f(and)g(l)f(the)i(meaning)d(is)i
30109 (exactly)g(as)g Fq(MSTP\(48\))472 4207 y Fw(is)32 b(for)f(the)i(t)f
30110 (quark.)44 b(F)-8 b(or)31 b(the)h(lepton)g Fj(\037)g
30111 Fw(the)g(di\013erence)h(is)e(whether)j(deca)m(y)f(is)f(handled)472
30112 4315 y(as)g(part)g(of)f(the)h Fm(Pythia)g Fw(resonance)h(mac)m(hinery)f
30113 (or)f(as)h(part)g(of)f(the)h Fm(Jetset)f Fw(particle)472
30114 4424 y(deca)m(y)45 b(one.)77 b(The)44 b Fj(\027)1263
30115 4439 y Fh(\037)1354 4424 y Fw(is)f(assumed)h(stable,)i(so)e(the)g
30116 (option)e(ab)s(o)m(v)m(e)i(w)m(ould)g(curren)m(tly)472
30117 4532 y(mak)m(e)33 b(no)g(di\013erence.)236 4640 y Fq(=)52
30118 b(0)f(:)217 b Fw(hadrons)36 b(are)g(\014rst)h(pro)s(duced,)h(whic)m(h)e
30119 (subsequen)m(tly)j(deca)m(y)f(\(in)d Fq(LUDECY)p Fw(\).)j(The)709
30120 4749 y(new)h(quark)f(ma)m(y)g(b)s(e)g(allo)m(w)m(ed)f(to)h(sho)m(w)m
30121 (er,)j(see)e Fq(MSTJ\(27\))p Fw(.)61 b(The)39 b(W)h(pro)s(duced)709
30122 4857 y(in)31 b(the)i(deca)m(y)h(is)f(co)s(de)f Fn(\006)p
30123 Fw(89.)236 4965 y Fq(=)52 b(1)f(:)217 b Fw(the)25 b(hea)m(vy)i(quark)f
30124 (\014rst)f(deca)m(ys)i(\(in)d Fq(PYRESD)p Fw(\))j(to)d(a)h(ligh)m(t)e
30125 (one,)k(and)e(thereafter)h(the)709 5074 y(ligh)m(t)37
30126 b(quark)j(fragmen)m(ts.)64 b(P)m(arton)39 b(sho)m(w)m(ering)h(in)f(the)
30127 g(deca)m(y)i(is)e(automatically)709 5182 y(included,)24
30128 b(but)e(can)h(b)s(e)g(switc)m(hed)g(o\013)f(with)g Fq(MSTP\(71\))p
30129 Fw(.)42 b(The)24 b(W)g(has)e(the)h(ordinary)709 5290
30130 y(co)s(de)33 b Fn(\006)p Fw(24,)f(and)h(is)f(allo)m(w)m(ed)g(to)g(deca)
30131 m(y)i(isotropically)-8 b(.)236 5399 y Fq(=)52 b(2)f(:)217
30132 b Fw(as)36 b Fq(=1)p Fw(,)h(except)h(that)d(the)i(W)g(deca)m(y)g(is)f
30133 (anisotropic,)f(as)h(exp)s(ected)i(from)d(W)i(p)s(o-)709
30134 5507 y(larization)29 b(in)j(the)h(hea)m(vy)h(\015a)m(v)m(our)g(deca)m
30135 (y)-8 b(.)236 5615 y Fo(Note:)203 b Fw(in)36 b(options)h(1)g(and)g(2)g
30136 (the)h(cross)g(section)g(is)e(reduced)j(to)e(tak)m(e)h(in)m(to)f
30137 (accoun)m(t)h(re-)1817 5953 y(156)p eop
30138 %%Page: 157 163
30139 157 162 bop 709 -18 a Fw(strictions)42 b(on)g(allo)m(w)m(ed)g(deca)m(y)
30140 i(mo)s(des,)h(while)d(no)h(suc)m(h)h(reduction)f(o)s(ccurs)g(for)709
30141 90 y(option)31 b(0.)43 b(See)34 b(further)f(section)f(8.2.2.)0
30142 198 y Fq(MSTP\(51\))53 b(:)48 b Fw(\(D=9\))31 b(c)m(hoice)i(of)f
30143 (proton)h(parton-distribution)d(set;)j(see)h(also)e Fq(MSTP\(52\))p
30144 Fw(.)236 307 y Fq(=)52 b(1)f(:)217 b Fw(EHLQ)33 b(set)g(1)f(\(1986)g
30145 (up)s(dated)h(v)m(ersion\).)236 415 y Fq(=)52 b(2)f(:)217
30146 b Fw(EHLQ)33 b(set)g(2)f(\(1986)g(up)s(dated)h(v)m(ersion\).)236
30147 523 y Fq(=)52 b(3)f(:)217 b Fw(Duk)m(e{Ow)m(ens)34 b(set)g(1.)236
30148 632 y Fq(=)52 b(4)f(:)217 b Fw(Duk)m(e{Ow)m(ens)34 b(set)g(2.)236
30149 740 y Fq(=)52 b(5)f(:)217 b Fw(CTEQ2M)33 b(\(b)s(est)p
30150 1410 662 144 4 v 34 w(MS)g(\014t\).)236 848 y Fq(=)52
30151 b(6)f(:)217 b Fw(CTEQ2MS)34 b(\(singular)d(at)h(small)e
30152 Fj(x)p Fw(\).)236 957 y Fq(=)52 b(7)f(:)217 b Fw(CTEQ2MF)33
30153 b(\(\015at)g(at)f(small)e Fj(x)p Fw(\).)236 1065 y Fq(=)52
30154 b(8)f(:)217 b Fw(CTEQ2ML)33 b(\(large)f(\003\).)236 1173
30155 y Fq(=)52 b(9)f(:)217 b Fw(CTEQ2L)33 b(\(b)s(est)g(leading)e(order)i
30156 (\014t\).)236 1282 y Fq(=)52 b(10)g(:)165 b Fw(CTEQ2D)33
30157 b(\(b)s(est)g(DIS)f(\014t\).)236 1390 y Fq(=)52 b(11)g(:)165
30158 b Fw(GR)-11 b(V)32 b(LO)g(\(1992)g(up)s(dated)h(v)m(ersion\).)236
30159 1498 y Fo(Note:)203 b Fw(since)38 b(all)e(parametrizations)f(ha)m(v)m
30160 (e)k(some)f(region)f(of)g(applicabilit)m(y)-8 b(,)36
30161 b(the)i(parton)709 1607 y(distributions)46 b(are)h(assumed)i(frozen)e
30162 (b)s(elo)m(w)h(the)g(lo)m(w)m(est)g Fj(Q)3042 1571 y
30163 Fl(2)3129 1607 y Fw(co)m(v)m(ered)i(b)m(y)e(the)709 1715
30164 y(parametrizations;)43 b(the)f(CTEQ2)g(ones)g(ha)m(v)m(e)h(b)s(een)f
30165 (allo)m(w)m(ed)e(to)h(extend)i(do)m(wn)709 1823 y(to)f
30166 Fj(Q)915 1838 y Fl(min)1083 1823 y Fw(=)j(1)e(GeV.)g(F)-8
30167 b(or)42 b(the)h(former)f(four,)k(ev)m(olution)c(is)g(also)g(frozed)i
30168 (ab)s(o)m(v)m(e)709 1932 y(the)c(maxim)m(um)e Fj(Q)1424
30169 1896 y Fl(2)1464 1932 y Fw(.)65 b(The)41 b(extrap)s(olation)d(of)i
30170 (EHLQ)g(to)g(lo)m(w)g Fj(x)g Fw(is)g(co)m(v)m(ered)i(b)m(y)709
30171 2040 y Fq(PARP\(51\))p Fw(.)0 2148 y Fq(MSTP\(52\))53
30172 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(proton)h
30173 (parton-distribution-function)c(library)-8 b(.)236 2257
30174 y Fq(=)52 b(1)f(:)217 b Fw(the)50 b(in)m(ternal)e Fm(Pythia)i
30175 Fw(one,)k(with)49 b(parton)h(distributions)e(according)h(to)g(the)709
30176 2365 y Fq(MSTP\(51\))34 b Fw(ab)s(o)m(v)m(e.)236 2473
30177 y Fq(=)52 b(2)f(:)217 b Fw(the)36 b Fm(Pdflib)g Fw(one)g([Plo93)o(],)g
30178 (with)g(the)g Fm(Pdflib)g Fw(\(v)m(ersion)g(4\))f Fq(NGROUP)j
30179 Fw(and)d Fq(NSET)709 2582 y Fw(n)m(um)m(b)s(ers)e(to)f(b)s(e)h(giv)m
30180 (en)g(as)g Fq(MSTP\(51\))53 b(=)f(1000)p Fn(\002)p Fq(NGROUP)i(+)d
30181 (NSET)p Fw(.)236 2690 y Fo(Note:)203 b Fw(to)30 b(mak)m(e)i(use)g(of)e
30182 (option)g(2,)h(it)f(is)h(necessary)i(to)e(link)f Fm(Pdflib)p
30183 Fw(.)43 b(Additionally)-8 b(,)29 b(on)709 2798 y(most)39
30184 b(computers,)k(the)d(t)m(w)m(o)h(dumm)m(y)f(routines)g
30185 Fq(PDFSET)i Fw(and)e Fq(STRUCTM)i Fw(at)e(the)709 2907
30186 y(end)33 b(of)f(the)h Fm(Pythia)g Fw(\014le)f(should)g(b)s(e)h(remo)m
30187 (v)m(ed)h(or)e(commen)m(ted)g(out.)236 3015 y Fo(W)-9
30188 b(arning:)47 b Fw(F)-8 b(or)61 b(external)i(parton)f(distribution)e
30189 (libraries,)68 b Fm(Pythia)62 b Fw(do)s(es)h(not)f(c)m(hec)m(k)709
30190 3123 y(whether)31 b Fq(MSTP\(51\))h Fw(corresp)s(onds)f(to)e(a)h(v)-5
30191 b(alid)28 b(co)s(de,)i(or)g(if)e(sp)s(ecial)h Fj(x)h
30192 Fw(and)g Fj(Q)3596 3087 y Fl(2)3666 3123 y Fw(re-)709
30193 3232 y(strictions)h(exist)h(for)f(a)g(giv)m(en)h(set,)h(suc)m(h)g(that)
30194 e(crazy)i(v)-5 b(alues)31 b(could)g(b)s(e)h(returned.)709
30195 3340 y(This)g(puts)i(an)e(extra)h(resp)s(onsibilit)m(y)e(on)i(y)m(ou.)0
30196 3448 y Fq(MSTP\(53\))53 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(pion)
30197 g(parton-distribution)e(set;)k(see)f(also)f Fq(MSTP\(54\))p
30198 Fw(.)236 3557 y Fq(=)52 b(1)f(:)217 b Fw(Ow)m(ens)34
30199 b(set)f(1.)236 3665 y Fq(=)52 b(2)f(:)217 b Fw(Ow)m(ens)34
30200 b(set)f(2.)236 3774 y Fq(=)52 b(3)f(:)217 b Fw(GR)-11
30201 b(V)32 b(LO)g(\(up)s(dated)h(v)m(ersion\).)0 3882 y Fq(MSTP\(54\))53
30202 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(pion)g
30203 (parton-distribution-function)d(library)-8 b(.)236 3990
30204 y Fq(=)52 b(1)f(:)217 b Fw(the)50 b(in)m(ternal)e Fm(Pythia)i
30205 Fw(one,)k(with)49 b(parton)h(distributions)e(according)h(to)g(the)709
30206 4099 y Fq(MSTP\(53\))34 b Fw(ab)s(o)m(v)m(e.)236 4207
30207 y Fq(=)52 b(2)f(:)217 b Fw(the)36 b Fm(Pdflib)g Fw(one)g([Plo93)o(],)g
30208 (with)g(the)g Fm(Pdflib)g Fw(\(v)m(ersion)g(4\))f Fq(NGROUP)j
30209 Fw(and)d Fq(NSET)709 4315 y Fw(n)m(um)m(b)s(ers)e(to)f(b)s(e)h(giv)m
30210 (en)g(as)g Fq(MSTP\(53\))53 b(=)f(1000)p Fn(\002)p Fq(NGROUP)i(+)d
30211 (NSET)p Fw(.)236 4424 y Fo(Note:)203 b Fw(to)30 b(mak)m(e)i(use)g(of)e
30212 (option)g(2,)h(it)f(is)h(necessary)i(to)e(link)f Fm(Pdflib)p
30213 Fw(.)43 b(Additionally)-8 b(,)29 b(on)709 4532 y(most)39
30214 b(computers,)k(the)d(t)m(w)m(o)h(dumm)m(y)f(routines)g
30215 Fq(PDFSET)i Fw(and)e Fq(STRUCTM)i Fw(at)e(the)709 4640
30216 y(end)33 b(of)f(the)h Fm(Pythia)g Fw(\014le)f(should)g(b)s(e)h(remo)m
30217 (v)m(ed)h(or)e(commen)m(ted)g(out.)236 4749 y Fo(W)-9
30218 b(arning:)47 b Fw(F)-8 b(or)61 b(external)i(parton)f(distribution)e
30219 (libraries,)68 b Fm(Pythia)62 b Fw(do)s(es)h(not)f(c)m(hec)m(k)709
30220 4857 y(whether)31 b Fq(MSTP\(53\))h Fw(corresp)s(onds)f(to)e(a)h(v)-5
30221 b(alid)28 b(co)s(de,)i(or)g(if)e(sp)s(ecial)h Fj(x)h
30222 Fw(and)g Fj(Q)3596 4821 y Fl(2)3666 4857 y Fw(re-)709
30223 4965 y(strictions)h(exist)h(for)f(a)g(giv)m(en)h(set,)h(suc)m(h)g(that)
30224 e(crazy)i(v)-5 b(alues)31 b(could)g(b)s(e)h(returned.)709
30225 5074 y(This)g(puts)i(an)e(extra)h(resp)s(onsibilit)m(y)e(on)i(y)m(ou.)0
30226 5182 y Fq(MSTP\(55\))64 b Fw(:)109 b(\(D=5\))63 b(c)m(hoice)j(of)e(the)
30227 h(parton-distribution)e(set)i(of)g(the)g(photon;)81 b(see)66
30228 b(also)472 5290 y Fq(MSTP\(56\))p Fw(.)236 5399 y Fq(=)52
30229 b(1)f(:)217 b Fw(Drees{Grassie.)236 5507 y Fq(=)52 b(5)f(:)217
30230 b Fw(SaS)32 b(1D)g(\(in)g(DIS)g(sc)m(heme,)i(with)e Fj(Q)2062
30231 5522 y Fl(0)2130 5507 y Fw(=)27 b(0)p Fj(:)p Fw(6)32
30232 b(GeV\).)236 5625 y Fq(=)52 b(6)f(:)217 b Fw(SaS)32 b(1M)h(\(in)p
30233 1221 5547 V 32 w(MS)g(sc)m(heme,)h(with)e Fj(Q)2057 5640
30234 y Fl(0)2124 5625 y Fw(=)c(0)p Fj(:)p Fw(6)k(GeV\).)1817
30235 5953 y(157)p eop
30236 %%Page: 158 164
30237 158 163 bop 236 -18 a Fq(=)52 b(7)f(:)217 b Fw(SaS)32
30238 b(2D)g(\(in)g(DIS)g(sc)m(heme,)i(with)e Fj(Q)2062 -3
30239 y Fl(0)2130 -18 y Fw(=)27 b(2)33 b(GeV\).)236 99 y Fq(=)52
30240 b(8)f(:)217 b Fw(SaS)32 b(2M)h(\(in)p 1221 21 144 4 v
30241 32 w(MS)g(sc)m(heme,)h(with)e Fj(Q)2057 114 y Fl(0)2124
30242 99 y Fw(=)c(2)k(GeV\).)236 208 y Fq(=)52 b(9)f(:)217
30243 b Fw(SaS)32 b(1D)g(\(in)g(DIS)g(sc)m(heme,)i(with)e Fj(Q)2062
30244 223 y Fl(0)2130 208 y Fw(=)27 b(0)p Fj(:)p Fw(6)32 b(GeV\).)236
30245 326 y Fq(=)52 b(10)g(:)165 b Fw(SaS)32 b(1M)h(\(in)p
30246 1221 248 V 32 w(MS)g(sc)m(heme,)h(with)e Fj(Q)2057 341
30247 y Fl(0)2124 326 y Fw(=)c(0)p Fj(:)p Fw(6)k(GeV\).)236
30248 434 y Fq(=)52 b(11)g(:)165 b Fw(SaS)32 b(2D)g(\(in)g(DIS)g(sc)m(heme,)i
30249 (with)e Fj(Q)2062 449 y Fl(0)2130 434 y Fw(=)27 b(2)33
30250 b(GeV\).)236 552 y Fq(=)52 b(12)g(:)165 b Fw(SaS)32 b(2M)h(\(in)p
30251 1221 474 V 32 w(MS)g(sc)m(heme,)h(with)e Fj(Q)2057 567
30252 y Fl(0)2124 552 y Fw(=)c(2)k(GeV\).)236 660 y Fo(Note)37
30253 b(1:)110 b Fw(sets)38 b(5{8)f(use)h(the)g(parton)f(distributions)f(of)h
30254 (the)h(resp)s(ectiv)m(e)h(set,)g(and)e(nothing)709 769
30255 y(else.)45 b(These)35 b(are)f(appropriate)e(for)h(most)f(applications,)
30256 g(e.g.)45 b(jet)34 b(pro)s(duction)e(in)709 877 y Fj(\015)5
30257 b Fw(p)26 b(and)g Fj(\015)5 b(\015)32 b Fw(collisions.)39
30258 b(Sets)27 b(9{12)e(instead)h(are)h(appropriate)e(for)h
30259 Fj(\015)3242 841 y Fk(\003)3281 877 y Fj(\015)31 b Fw(pro)s(cesses,)709
30260 985 y(i.e.)63 b(DIS)39 b(scattering)g(on)g(a)g(photon,)j(as)d(measured)
30261 h(in)f Fj(F)2919 938 y Fh(\015)2905 1007 y Fl(2)2963
30262 985 y Fw(.)63 b(Here)40 b(the)g(anoma-)709 1094 y(lous)g(con)m
30263 (tribution)g(for)h(c)g(and)g(b)g(quarks)i(are)e(handled)g(b)m(y)h(the)f
30264 (Bethe-Heitler)709 1202 y(form)m(ulae,)34 b(and)h(the)g(direct)g(term)f
30265 (is)h(arti\014cially)c(lump)s(ed)j(with)h(the)g(anomalous)709
30266 1310 y(one,)h(so)g(that)f(the)g(ev)m(en)m(t)j(sim)m(ulation)32
30267 b(more)j(closely)g(agrees)h(with)f(what)g(will)e(b)s(e)709
30268 1419 y(exp)s(erimen)m(tally)e(observ)m(ed)k(in)d(these)j(pro)s(cesses.)
30269 46 b(The)34 b(agreemen)m(t)f(with)g(the)g Fj(F)3735 1371
30270 y Fh(\015)3721 1440 y Fl(2)709 1527 y Fw(parametrization)20
30271 b(is)j(still)e(not)i(p)s(erfect,)i(e.g.)41 b(in)22 b(the)i(treatmen)m
30272 (t)f(of)f(hea)m(vy)j(\015a)m(v)m(ours)709 1635 y(close)32
30273 b(to)g(threshold.)236 1744 y Fo(Note)37 b(2:)110 b Fw(Sets)44
30274 b(5{12)e(con)m(tain)g(b)s(oth)h(VMD)g(pieces)h(and)f(anomalous)f
30275 (pieces,)k(separately)709 1852 y(parametrized.)93 b(Therefore)50
30276 b(the)g(resp)s(ectiv)m(e)h(piece)f(is)f(automatically)d(called,)709
30277 1960 y(whatev)m(er)h Fq(MSTP\(14\))g Fw(v)-5 b(alue)45
30278 b(is)g(used)h(to)f(select)h(only)f(a)g(part)g(of)f(the)i(allo)m(w)m(ed)
30279 709 2069 y(photon)29 b(in)m(teractions.)42 b(F)-8 b(or)28
30280 b(other)i(sets)h(\(set)f(1)f(ab)s(o)m(v)m(e)h(or)f Fm(Pdflib)h
30281 Fw(sets\),)h(usually)709 2177 y(there)k(is)g(no)g(corresp)s(onding)g
30282 (sub)s(division.)50 b(Then)36 b(an)f(option)f(lik)m(e)h
30283 Fq(MSTP\(14\)=2)709 2285 y Fw(\(VMD)e(part)g(of)g(photon)h(only\))e(is)
30284 h(based)i(on)e(a)g(rescaling)f(of)h(the)h(pion)f(distribu-)709
30285 2394 y(tions,)f(while)f Fq(MSTP\(14\)=3)36 b Fw(giv)m(es)d(the)g(SaS)f
30286 (anomalous)f(parametrization.)236 2502 y Fo(Note)37 b(3:)110
30287 b Fw(F)-8 b(ormally)29 b(sp)s(eaking,)j(the)h Fj(k)1766
30288 2517 y Fl(0)1837 2502 y Fw(\(or)f Fj(p)2043 2517 y Fl(0)2082
30289 2502 y Fw(\))g(cut-o\013)g(in)f Fq(PARP\(15\))k Fw(need)e(not)f(b)s(e)g
30290 (set)h(in)709 2610 y(an)m(y)25 b(relation)d(to)j(the)g
30291 Fj(Q)1583 2625 y Fl(0)1647 2610 y Fw(cut-o\013)f(scales)h(used)g(b)m(y)
30292 h(the)f(v)-5 b(arious)24 b(parametrizations.)709 2719
30293 y(Indeed,)37 b(due)f(to)g(the)f(familiar)d(scale)j(c)m(hoice)h(am)m
30294 (biguit)m(y)e(problem,)h(there)h(could)709 2827 y(w)m(ell)k(b)s(e)h
30295 (some)g(o\013set)h(b)s(et)m(w)m(een)h(the)e(t)m(w)m(o.)70
30296 b(Ho)m(w)m(ev)m(er,)45 b(unless)d(y)m(ou)g(kno)m(w)g(what)709
30297 2935 y(y)m(ou)29 b(are)f(doing,)g(it)f(is)h(strongly)g(recommended)g
30298 (that)g(y)m(ou)h(let)f(the)h(t)m(w)m(o)g(agree,)g(i.e.)709
30299 3044 y(set)k Fq(PARP\(15\)=0.6)j Fw(for)c(the)h(SaS)f(1)h(sets)g(and)g
30300 Fq(=2.)44 b Fw(for)32 b(the)h(SaS)g(2)f(sets.)0 3152
30301 y Fq(MSTP\(56\))53 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(photon)h
30302 (parton-distribution-function)c(library)-8 b(.)236 3260
30303 y Fq(=)52 b(1)f(:)217 b Fw(the)50 b(in)m(ternal)e Fm(Pythia)i
30304 Fw(one,)k(with)49 b(parton)h(distributions)e(according)h(to)g(the)709
30305 3369 y Fq(MSTP\(55\))34 b Fw(ab)s(o)m(v)m(e.)236 3477
30306 y Fq(=)52 b(2)f(:)217 b Fw(the)36 b Fm(Pdflib)g Fw(one)g([Plo93)o(],)g
30307 (with)g(the)g Fm(Pdflib)g Fw(\(v)m(ersion)g(4\))f Fq(NGROUP)j
30308 Fw(and)d Fq(NSET)709 3585 y Fw(n)m(um)m(b)s(ers)41 b(to)g(b)s(e)g(giv)m
30309 (en)g(as)g Fq(MSTP\(55\))54 b(=)d(1000)p Fn(\002)p Fq(NGROUP)k(+)c
30310 (NSET)p Fw(.)42 b(When)g(the)709 3694 y(VMD)27 b(and)g(anomalous)f
30311 (parts)i(of)e(the)i(photon)g(are)f(split,)g(lik)m(e)g(for)g
30312 Fq(MSTP\(14\)=10)p Fw(,)709 3802 y(it)i(is)g(necessary)j(to)e(sp)s
30313 (ecify)g(pion)f(set)i(to)f(b)s(e)g(used)h(for)e(the)i(VMD)f(comp)s
30314 (onen)m(t,)g(in)709 3911 y Fq(MSTP\(53\))k Fw(and)f Fq(MSTP\(54\))p
30315 Fw(,)i(while)c Fq(MSTP\(55\))k Fw(here)e(is)g(irrelev)-5
30316 b(an)m(t.)236 4019 y Fq(=)52 b(3)f(:)217 b Fw(when)42
30317 b(the)g(parton)e(distributions)g(of)h(the)g(anomalous)f(photon)h(are)g
30318 (requested,)709 4127 y(the)51 b(homogeneous)g(solution)e(is)i(pro)m
30319 (vided,)56 b(ev)m(olv)m(ed)c(from)d(a)i(starting)f(v)-5
30320 b(alue)709 4236 y Fq(PARP\(15\))41 b Fw(to)f(the)g(requested)i
30321 Fj(Q)e Fw(scale.)64 b(The)41 b(homogeneous)f(solution)e(is)h(nor-)709
30322 4344 y(malized)c(so)j(that)f(the)h(net)f(momen)m(tum)f(is)h(unit)m(y)-8
30323 b(,)39 b(i.e.)57 b(an)m(y)38 b(factors)g(of)f Fj(\013)3529
30324 4359 y Fl(em)3623 4344 y Fj(=)p Fw(2)p Fj(\031)709 4452
30325 y Fw(and)f(c)m(harge)i(ha)m(v)m(e)g(b)s(een)f(left)f(out.)55
30326 b(The)38 b(\015a)m(v)m(our)g(of)e(the)h(original)c(q)k(is)f(giv)m(en)h
30327 (in)709 4561 y Fq(MSTP\(55\))e Fw(\(1,)d(2,)h(3,)g(4)g(or)f(5)h(for)f
30328 (d,)h(u,)h(s,)f(c)g(or)g(b\);)g(the)g(v)-5 b(alue)33
30329 b(0)f(giv)m(es)i(a)e(mixture)709 4669 y(according)39
30330 b(to)g(squared)h(c)m(harge,)i(with)d(the)h(exception)g(that)g(c)f(and)h
30331 (b)g(are)f(only)709 4777 y(allo)m(w)m(ed)29 b(ab)s(o)m(v)m(e)i(the)g
30332 (resp)s(ectiv)m(e)h(mass)e(threshold)g(\()p Fj(Q)e(>)g(m)2939
30333 4792 y Fl(q)2981 4777 y Fw(\).)42 b(The)31 b(four-\015a)m(v)m(our)709
30334 4886 y(\003)e(v)-5 b(alue)30 b(is)f(assumed)i(giv)m(en)f(in)g
30335 Fq(PARP\(1\))p Fw(;)i(it)d(is)h(automatically)d(recalculated)i(for)709
30336 4994 y(3)38 b(or)g(5)h(\015a)m(v)m(ours)g(at)g(thresholds.)62
30337 b(This)39 b(option)e(is)h(not)h(in)m(tended)g(for)f(standard)709
30338 5102 y(ev)m(en)m(t)c(generation,)e(but)h(is)f(useful)h(for)f(some)g
30339 (theoretical)f(studies.)236 5211 y Fo(Note:)203 b Fw(to)30
30340 b(mak)m(e)i(use)g(of)e(option)g(2,)h(it)f(is)h(necessary)i(to)e(link)f
30341 Fm(Pdflib)p Fw(.)43 b(Additionally)-8 b(,)29 b(on)709
30342 5319 y(most)39 b(computers,)k(the)d(t)m(w)m(o)h(dumm)m(y)f(routines)g
30343 Fq(PDFSET)i Fw(and)e Fq(STRUCTM)i Fw(at)e(the)709 5427
30344 y(end)33 b(of)f(the)h Fm(Pythia)g Fw(\014le)f(should)g(b)s(e)h(remo)m
30345 (v)m(ed)h(or)e(commen)m(ted)g(out.)236 5536 y Fo(W)-9
30346 b(arning:)47 b Fw(F)-8 b(or)66 b(external)g(parton-distribution)e
30347 (libraries,)73 b Fm(Pythia)66 b Fw(do)s(es)h(not)f(c)m(hec)m(k)709
30348 5644 y(whether)31 b Fq(MSTP\(55\))h Fw(corresp)s(onds)f(to)e(a)h(v)-5
30349 b(alid)28 b(co)s(de,)i(or)g(if)e(sp)s(ecial)h Fj(x)h
30350 Fw(and)g Fj(Q)3596 5608 y Fl(2)3666 5644 y Fw(re-)1817
30351 5953 y(158)p eop
30352 %%Page: 159 165
30353 159 164 bop 709 -18 a Fw(strictions)31 b(exist)h(for)f(a)g(giv)m(en)h
30354 (set,)h(suc)m(h)g(that)e(crazy)i(v)-5 b(alues)31 b(could)g(b)s(e)h
30355 (returned.)709 90 y(This)g(puts)i(an)e(extra)h(resp)s(onsibilit)m(y)e
30356 (on)i(y)m(ou.)0 198 y Fq(MSTP\(57\))53 b(:)48 b Fw(\(D=1\))31
30357 b(c)m(hoice)i(of)f Fj(Q)1345 162 y Fl(2)1418 198 y Fw(dep)s(endence)j
30358 (in)c(parton-distribution)f(functions.)236 307 y Fq(=)52
30359 b(0)f(:)217 b Fw(parton)30 b(distributions)f(are)i(ev)-5
30360 b(aluated)30 b(at)g(nominal)e(lo)m(w)m(er)j(cut-o\013)f(v)-5
30361 b(alue)30 b Fj(Q)3557 270 y Fl(2)3557 331 y(0)3597 307
30362 y Fw(,)h(i.e.)709 415 y(are)h(made)g Fj(Q)1208 379 y
30363 Fl(2)1248 415 y Fw(-indep)s(enden)m(t.)236 523 y Fq(=)52
30364 b(1)f(:)217 b Fw(the)33 b(parametrized)e Fj(Q)1544 487
30365 y Fl(2)1617 523 y Fw(dep)s(endence)k(is)d(used.)236 632
30366 y Fq(=)52 b(2)f(:)217 b Fw(the)37 b(parametrized)e(parton-distribution)
30367 f(b)s(eha)m(viour)i(is)g(k)m(ept)i(at)e(large)f Fj(Q)3546
30368 595 y Fl(2)3622 632 y Fw(and)709 740 y Fj(x)p Fw(,)28
30369 b(but)f(mo)s(di\014ed)e(at)h(small)f Fj(Q)1824 704 y
30370 Fl(2)1890 740 y Fw(and/or)h Fj(x)p Fw(,)i(so)f(that)f(parton)h
30371 (distributions)e(v)-5 b(anish)709 848 y(in)39 b(the)i(limit)c
30372 Fj(Q)1324 812 y Fl(2)1404 848 y Fn(!)k Fw(0)f(and)g(ha)m(v)m(e)i(a)e
30373 (theoretically)e(motiv)-5 b(ated)39 b(small-)p Fj(x)f
30374 Fw(shap)s(e)709 957 y([Sc)m(h93a].)44 b(This)32 b(option)g(is)g(only)g
30375 (v)-5 b(alid)31 b(for)h(the)h(p)g(and)f(n.)236 1065 y
30376 Fq(=)52 b(3)f(:)217 b Fw(as)30 b Fq(=2)p Fw(,)i(except)g(that)f(also)e
30377 (the)i Fj(\031)1919 1029 y Fk(\006)2009 1065 y Fw(is)f(mo)s(di\014ed)f
30378 (in)h(a)g(corresp)s(onding)h(manner.)42 b(A)709 1173
30379 y(VMD)28 b(photon)h(is)f(not)h(mapp)s(ed)f(to)g(a)h(pion,)g(but)g(is)f
30380 (treated)h(with)f(the)h(same)g(pho-)709 1282 y(ton)g(parton)g
30381 (distributions)g(as)g(for)g(other)h Fq(MSTP\(57\))i Fw(v)-5
30382 b(alues,)30 b(but)g(with)f(prop)s(erly)709 1390 y(mo)s(di\014ed)i(b)s
30383 (eha)m(viour)i(for)f(small)e Fj(x)j Fw(or)f Fj(Q)p Fw(2.)0
30384 1498 y Fq(MSTP\(58\))53 b(:)48 b Fw(\(D=min\(6,)26 b(2)p
30385 Fn(\002)p Fq(MSTP\(1\))p Fw(\)\))j(maxim)m(um)c(n)m(um)m(b)s(er)i(of)g
30386 (quark)h(\015a)m(v)m(ours)g(used)g(in)f(parton)472 1607
30387 y(distributions,)32 b(and)i(th)m(us)g(also)e(for)g(initial-state)e
30388 (space-lik)m(e)j(sho)m(w)m(ers.)47 b(If)33 b(some)g(distri-)472
30389 1715 y(butions)41 b(\(notably)f(t\))h(are)g(absen)m(t)h(in)e(the)h
30390 (parametrization)d(selected)k(in)e Fq(MSTP\(51\))p Fw(,)472
30391 1823 y(these)34 b(are)f(ob)m(viously)f(automatically)d(excluded.)0
30392 1932 y Fq(MSTP\(59\))53 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f
30393 (electron-inside-electron)f(parton)i(distribution.)236
30394 2040 y Fq(=)52 b(1)f(:)217 b Fw(the)24 b(recommended)h(standard)f(for)g
30395 (LEP)h(1,)g(next-to-leading)e(exp)s(onen)m(tiated,)j(see)709
30396 2148 y([Kle89)o(],)32 b(p.)44 b(34.)236 2257 y Fq(=)52
30397 b(2)f(:)217 b Fw(the)33 b(recommended)g(`)p Fj(\014)6
30398 b Fw(')33 b(sc)m(heme)h(for)e(LEP)i(2,)e(also)g(next-to-leading)f(exp)s
30399 (onen)m(ti-)709 2365 y(ated,)i(see)g([Bee96)q(],)f(p.)44
30400 b(130.)0 2473 y Fq(MSTP\(61\))53 b(:)48 b Fw(\(D=1\))31
30401 b(\(C\))i(master)g(switc)m(h)g(for)f(initial-state)d(QCD)j(and)h(QED)f
30402 (radiation.)236 2582 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236
30403 2690 y Fq(=)52 b(1)f(:)217 b Fw(on.)0 2798 y Fq(MSTP\(62\))53
30404 b(-)f(MSTP\(68\))h(:)48 b Fw(\(C\))29 b(further)f(switc)m(hes)i(for)e
30405 (initial-state)d(radiation,)i(see)i(section)g(10.4.)0
30406 2907 y Fq(MSTP\(71\))53 b(:)48 b Fw(\(D=1\))31 b(\(C\))i(master)g
30407 (switc)m(h)g(for)f(\014nal-state)g(QCD)g(and)h(QED)f(radiation.)236
30408 3015 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236 3123 y Fq(=)52
30409 b(1)f(:)217 b Fw(on.)236 3232 y Fo(Note:)203 b Fw(additional)21
30410 b(switc)m(hes)27 b(\(e.g.)41 b(for)24 b(con)m(v)m(en)m(tional/coheren)m
30411 (t)i(sho)m(w)m(ers\))g(are)f(a)m(v)-5 b(ailable)709 3340
30412 y(in)31 b Fq(MSTJ\(40\))54 b(-)d(MSTJ\(50\))35 b Fw(and)e
30413 Fq(PARJ\(81\))53 b(-)f(PARJ\(89\))p Fw(,)34 b(see)g(section)f(10.4.)0
30414 3448 y Fq(MSTP\(81\))53 b(:)48 b Fw(\(D=1\))31 b(master)i(switc)m(h)g
30415 (for)f(m)m(ultiple)e(in)m(teractions.)236 3557 y Fq(=)52
30416 b(0)f(:)217 b Fw(o\013.)236 3665 y Fq(=)52 b(1)f(:)217
30417 b Fw(on.)0 3774 y Fq(MSTP\(82\))53 b(-)f(MSTP\(83\))h(:)48
30418 b Fw(further)33 b(switc)m(hes)h(for)e(m)m(ultiple)e(in)m(teractions,)i
30419 (see)i(section)e(11.4.)0 3882 y Fq(MSTP\(85\))53 b(:)48
30420 b Fw(p)s(ossibilit)m(y)32 b(to)h(damp)s(en)h(hard)g(scattering)f
30421 (matrix)f(elemen)m(ts)j(in)e(the)h(limit)c Fj(p)3485
30422 3897 y Fk(?)3574 3882 y Fn(!)g Fw(0.)472 3990 y(It)37
30423 b(parellels)e(some)i(of)f(the)i(m)m(ultiple)c(in)m(teractions)i
30424 (options)g(for)h(QCD)f(pro)s(cesses,)k(but)472 4099 y(can)33
30425 b(b)s(e)g(used)h(for)e(an)m(y)h(2)28 b Fn(!)f Fw(2)32
30426 b(pro)s(cess.)236 4207 y Fq(=)52 b(0)f(:)217 b Fw(o\013,)32
30427 b(i.e.)43 b(standard)33 b(matrix)e(elemen)m(ts)i(are)f(k)m(ept.)236
30428 4315 y Fq(=)52 b(1)f(:)217 b Fw(on,)29 b(i.e.)42 b(matrix)27
30429 b(elemen)m(ts)i(are)g(m)m(ultiplied)c(b)m(y)30 b(a)f(factor)f
30430 Fj(p)2895 4279 y Fl(4)2895 4340 y Fk(?)2954 4315 y Fj(=)p
30431 Fw(\()p Fj(p)3090 4279 y Fl(2)3090 4340 y Fk(?)3163 4315
30432 y Fw(+)14 b Fj(p)3302 4279 y Fl(2)3302 4340 y Fk(?)p
30433 Fl(0)3396 4315 y Fw(\))3434 4279 y Fl(2)3474 4315 y Fw(,)29
30434 b(where)709 4424 y Fj(p)758 4439 y Fk(?)p Fl(0)878 4424
30435 y Fw(is)c(giv)m(en)h(b)m(y)i Fq(PARP\(82\))p Fw(.)43
30436 b(Additionally)23 b Fj(\013)2444 4439 y Fl(s)2502 4424
30437 y Fw(is)i(ev)-5 b(aluated)25 b(at)h(a)f(scale)h Fj(p)3485
30438 4387 y Fl(2)3485 4448 y Fk(?)3552 4424 y Fw(+)8 b Fj(p)3685
30439 4387 y Fl(2)3685 4448 y Fk(?)p Fl(0)709 4532 y Fw(rather)32
30440 b(than)h(just)g Fj(p)1471 4496 y Fl(2)1471 4557 y Fk(?)1530
30441 4532 y Fw(.)0 4640 y Fq(MSTP\(91\))53 b(-)f(MSTP\(94\))h(:)48
30442 b Fw(switc)m(hes)34 b(for)e(b)s(eam)g(remnan)m(t)g(treatmen)m(t,)h(see)
30443 h(section)e(11.4.)0 4749 y Fq(MSTP\(101\))54 b(:)47 b
30444 Fw(\(D=3\))32 b(\(C\))h(structure)g(of)f(di\013ractiv)m(e)g(system.)236
30445 4857 y Fq(=)52 b(1)f(:)217 b Fw(forw)m(ard)32 b(mo)m(ving)g(diquark)g
30446 (+)h(in)m(teracting)e(quark.)236 4965 y Fq(=)52 b(2)f(:)217
30447 b Fw(forw)m(ard)35 b(mo)m(ving)g(diquark)h(+)f(quark)i(joined)e(via)g
30448 (in)m(teracting)f(gluon)h(\(`hairpin')709 5074 y(con\014guration\).)236
30449 5182 y Fq(=)52 b(3)f(:)217 b Fw(a)41 b(mixture)g(of)g(the)h(t)m(w)m(o)g
30450 (options)f(ab)s(o)m(v)m(e,)k(with)c(a)h(fraction)e Fq(PARP\(101\))k
30451 Fw(of)d(the)709 5290 y(former)31 b(t)m(yp)s(e.)0 5399
30452 y Fq(MSTP\(102\))54 b(:)47 b Fw(\(D=1\))24 b(\(C\))h(deca)m(y)h(of)f(a)
30453 f Fj(\032)1572 5363 y Fl(0)1637 5399 y Fw(meson)h(pro)s(duced)h(b)m(y)f
30454 (`elastic')f(scattering)h(of)g(an)f(incom-)472 5507 y(ing)k
30455 Fj(\015)5 b Fw(,)30 b(as)f(in)f Fj(\015)5 b Fw(p)28 b
30456 Fn(!)f Fj(\032)1285 5471 y Fl(0)1325 5507 y Fw(p,)j(or)e(the)i(same)e
30457 (with)h(the)g(hadron)g(di\013ractiv)m(ely)f(excited.)236
30458 5615 y Fq(=)52 b(0)f(:)217 b Fw(the)33 b Fj(\032)927
30459 5579 y Fl(0)999 5615 y Fw(is)f(allo)m(w)m(ed)g(to)g(deca)m(y)i
30460 (isotropically)-8 b(,)30 b(lik)m(e)h(an)m(y)j(other)e
30461 Fj(\032)3071 5579 y Fl(0)3111 5615 y Fw(.)1817 5953 y(159)p
30462 eop
30463 %%Page: 160 166
30464 160 165 bop 236 -18 a Fq(=)52 b(1)f(:)217 b Fw(the)34
30465 b(deca)m(y)h Fj(\032)1200 -55 y Fl(0)1270 -18 y Fn(!)30
30466 b Fj(\031)1459 -55 y Fl(+)1518 -18 y Fj(\031)1577 -55
30467 y Fk(\000)1670 -18 y Fw(is)j(done)i(with)e(an)h(angular)f(distribution)
30468 f(prop)s(ortional)709 90 y(to)37 b(sin)953 50 y Fl(2)1009
30469 90 y Fj(\022)k Fw(in)c(its)h(rest)h(frame,)f(where)h(the)g
30470 Fj(z)j Fw(axis)c(is)g(giv)m(en)g(b)m(y)h(the)f(direction)f(of)709
30471 198 y(motion)29 b(of)i(the)h Fj(\032)1365 162 y Fl(0)1404
30472 198 y Fw(.)43 b(The)33 b Fj(\032)1724 162 y Fl(0)1795
30473 198 y Fw(deca)m(y)f(is)f(then)h(done)g(as)f(part)g(of)g(the)h(hard)f
30474 (pro)s(cess,)709 307 y(i.e.)43 b(also)31 b(when)j Fq(MSTP\(111\)=0)p
30475 Fw(.)0 415 y Fq(MSTP\(111\))54 b(:)47 b Fw(\(D=1\))33
30476 b(\(C\))h(master)f(switc)m(h)h(for)f(fragmen)m(tation)f(and)i(deca)m(y)
30477 -8 b(,)35 b(as)f(obtained)f(with)g(a)472 523 y Fq(LUEXEC)i
30478 Fw(call.)236 632 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236
30479 740 y Fq(=)52 b(1)f(:)217 b Fw(on.)236 848 y Fq(=)52
30480 b(-1)g(:)165 b Fw(only)31 b(c)m(ho)s(ose)h(kinematical)d(v)-5
30481 b(ariables)30 b(for)g(hard)i(scattering,)f(i.e.)43 b(no)31
30482 b(jets)h(are)f(de-)709 957 y(\014ned.)52 b(This)36 b(is)f(useful,)h
30483 (for)f(instance,)h(to)f(calculate)f(cross)i(sections)g(\(b)m(y)h(Mon)m
30484 (te)709 1065 y(Carlo)g(in)m(tegration\))f(without)h(w)m(an)m(ting)h(to)
30485 g(sim)m(ulate)e(ev)m(en)m(ts;)43 b(information)35 b(ob-)709
30486 1173 y(tained)d(with)g Fq(PYSTAT\(1\))j Fw(will)30 b(b)s(e)j(correct.)0
30487 1282 y Fq(MSTP\(112\))54 b(:)47 b Fw(\(D=1\))25 b(\(C\))i(cuts)g(on)f
30488 (partonic)g(ev)m(en)m(ts;)31 b(only)25 b(a\013ects)i(an)f(exceedingly)h
30489 (tin)m(y)g(fraction)472 1390 y(of)33 b(ev)m(en)m(ts.)236
30490 1498 y Fq(=)52 b(0)f(:)217 b Fw(no)40 b(cuts)g(\(can)h(b)s(e)f(used)h
30491 (only)e(with)h(indep)s(enden)m(t)h(fragmen)m(tation,)f(at)g(least)f(in)
30492 709 1607 y(principle\).)236 1715 y Fq(=)52 b(1)f(:)217
30493 b Fw(string)32 b(cuts)h(\(as)g(normally)d(required)j(for)f(fragmen)m
30494 (tation\).)0 1823 y Fq(MSTP\(113\))54 b(:)47 b Fw(\(D=1\))c(\(C\))i
30495 (recalculation)d(of)i(energies)h(of)f(partons)g(from)f(their)h(momen)m
30496 (ta)f(and)472 1932 y(masses,)29 b(to)d(b)s(e)h(done)f(immediately)e(b)s
30497 (efore)i(and)h(after)f(fragmen)m(tation,)g(to)g(partly)g(com-)472
30498 2040 y(p)s(ensate)34 b(for)e(some)g(n)m(umerical)g(problems)f(app)s
30499 (earing)h(at)g(high)g(energies.)236 2148 y Fq(=)52 b(0)f(:)217
30500 b Fw(not)32 b(p)s(erformed.)236 2257 y Fq(=)52 b(1)f(:)217
30501 b Fw(p)s(erformed.)0 2365 y Fq(MSTP\(121\))54 b(:)47
30502 b Fw(\(D=0\))31 b(calculation)f(of)i(kinematics)f(selection)h(co)s
30503 (e\016cien)m(ts)h(and)f(di\013eren)m(tial)f(cross)472
30504 2473 y(section)i(maxima)d(for)i(included)h(\(b)m(y)g(user)h(or)e
30505 (default\))g(subpro)s(cesses.)236 2582 y Fq(=)52 b(0)f(:)217
30506 b Fw(not)32 b(kno)m(wn;)i(to)e(b)s(e)h(calculated)f(at)g
30507 (initialization.)236 2690 y Fq(=)52 b(1)f(:)217 b Fw(not)46
30508 b(kno)m(wn;)55 b(to)46 b(b)s(e)g(calculated)g(at)g(initialization;)i
30509 (ho)m(w)m(ev)m(er,)k(the)47 b(maxim)m(um)709 2798 y(v)-5
30510 b(alue)26 b(then)i(obtained)e(is)g(to)h(b)s(e)g(m)m(ultiplied)d(b)m(y)
30511 29 b Fq(PARP\(121\))g Fw(\(this)e(ma)m(y)f(b)s(e)h(useful)709
30512 2907 y(if)22 b(a)h(violation)e(factor)i(has)h(b)s(een)g(observ)m(ed)i
30513 (in)d(a)g(previous)h(run)g(of)f(the)h(same)g(kind\).)236
30514 3015 y Fq(=)52 b(2)f(:)217 b Fw(kno)m(wn;)33 b(kinematics)e(selection)h
30515 (co)s(e\016cien)m(ts)h(stored)f(b)m(y)h(user)g(in)e Fq(COEF\(ISUB,J\))
30516 709 3123 y Fw(\()p Fq(J)d Fw(=)h(1{20\))e(in)h(common)f(blo)s(c)m(k)i
30517 Fq(PYINT2)h Fw(and)e(maxim)m(um)f(of)h(the)h(corresp)s(onding)709
30518 3232 y(di\013eren)m(tial)40 b(cross)j(section)g(times)e(Jacobians)h(in)
30519 g Fq(XSEC\(ISUB,1\))j Fw(in)d(common)709 3340 y(blo)s(c)m(k)i
30520 Fq(PYINT5)p Fw(.)80 b(This)45 b(is)e(to)h(b)s(e)h(done)g(for)e(eac)m(h)
30521 j(included)e(subpro)s(cess)i(ISUB)709 3448 y(b)s(efore)27
30522 b(initialization,)c(with)k(the)h(sum)g(of)f(all)e Fq(XSEC\(ISUB,1\))30
30523 b Fw(v)-5 b(alues,)29 b(except)g(for)709 3557 y(ISUB)k(=)f(95,)g
30524 (stored)i(in)d Fq(XSEC\(0,1\))p Fw(.)0 3665 y Fq(MSTP\(122\))54
30525 b(:)47 b Fw(\(D=1\))60 b(initialization)55 b(and)61 b(di\013eren)m
30526 (tial)e(cross)j(section)f(maximization)c(prin)m(t-)472
30527 3774 y(out.)236 3882 y Fq(=)52 b(0)f(:)217 b Fw(none.)236
30528 3990 y Fq(=)52 b(1)f(:)217 b Fw(short)32 b(message.)236
30529 4099 y Fq(=)52 b(2)f(:)217 b Fw(detailed)31 b(message,)i(including)e
30530 (full)g(maximization.)0 4207 y Fq(MSTP\(123\))54 b(:)47
30531 b Fw(\(D=2\))32 b(reaction)g(to)g(violation)e(of)i(maxim)m(um)e
30532 (di\013eren)m(tial)h(cross)i(section.)236 4315 y Fq(=)52
30533 b(0)f(:)217 b Fw(stop)33 b(generation,)f(prin)m(t)g(message.)236
30534 4424 y Fq(=)52 b(1)f(:)217 b Fw(con)m(tin)m(ue)25 b(generation,)h(prin)
30535 m(t)e(message)h(for)g(eac)m(h)g(subsequen)m(tly)j(larger)23
30536 b(violation.)236 4532 y Fq(=)52 b(2)f(:)217 b Fw(as)32
30537 b Fq(=1)p Fw(,)i(but)e(also)g(increase)h(v)-5 b(alue)32
30538 b(of)g(maxim)m(um.)0 4640 y Fq(MSTP\(124\))54 b(:)47
30539 b Fw(\(D=1\))32 b(\(C\))h(frame)e(for)h(presen)m(tation)h(of)f(ev)m(en)
30540 m(t.)236 4749 y Fq(=)52 b(1)f(:)217 b Fw(as)32 b(sp)s(eci\014ed)i(in)e
30541 Fq(PYINIT)p Fw(.)236 4857 y Fq(=)52 b(2)f(:)217 b Fw(c.m.)43
30542 b(frame)32 b(of)g(incoming)e(particles.)0 4965 y Fq(MSTP\(125\))54
30543 b(:)47 b Fw(\(D=1\))g(\(C\))h(do)s(cumen)m(tation)f(of)h(partonic)f
30544 (pro)s(cess,)53 b(see)c(section)f(5.3.2)f(for)g(de-)472
30545 5074 y(tails.)236 5182 y Fq(=)52 b(0)f(:)217 b Fw(only)32
30546 b(list)f(ultimate)f(string/particle)h(con\014guration.)236
30547 5290 y Fq(=)52 b(1)f(:)217 b Fw(additionally)29 b(list)i(short)i
30548 (summary)f(of)g(the)h(hard)g(pro)s(cess.)236 5399 y Fq(=)52
30549 b(2)f(:)217 b Fw(list)29 b(complete)i(do)s(cumen)m(tation)f(of)g(in)m
30550 (termediate)g(steps)i(of)f(parton-sho)m(w)m(er)h(ev)m(o-)709
30551 5507 y(lution.)0 5615 y Fq(MSTP\(126\))54 b(:)47 b Fw(\(D=20\))32
30552 b(n)m(um)m(b)s(er)h(of)f(lines)g(at)g(the)h(b)s(eginning)e(of)h(ev)m
30553 (en)m(t)j(record)e(that)f(are)h(reserv)m(ed)1817 5953
30554 y(160)p eop
30555 %%Page: 161 167
30556 161 166 bop 472 -18 a Fw(for)42 b(ev)m(en)m(t-history)h(information;)h
30557 (see)f(section)f(5.3.2.)71 b(This)42 b(v)-5 b(alue)42
30558 b(should)g(nev)m(er)h(b)s(e)472 90 y(reduced,)e(but)d(ma)m(y)f(b)s(e)h
30559 (increased)g(at)f(a)h(later)e(date)i(if)f(more)f(complicated)g(pro)s
30560 (cesses)472 198 y(are)d(included.)0 307 y Fq(MSTP\(128\))54
30561 b(:)47 b Fw(\(D=0\))37 b(storing)f(of)h(cop)m(y)i(of)e(resonance)i
30562 (deca)m(y)g(pro)s(ducts)f(in)f(the)g(do)s(cumen)m(tation)472
30563 415 y(section)28 b(of)g(the)g(ev)m(en)m(t)i(record,)g(and)e(mother)f(p)
30564 s(oin)m(ter)g(\()p Fq(K\(I,3\))p Fw(\))j(relation)c(of)h(the)h(actual)
30565 472 523 y(resonance)38 b(deca)m(y)g(pro)s(ducts)f(\(stored)g(in)e(the)i
30566 (main)e(section)h(of)g(the)h(ev)m(en)m(t)h(record\))f(to)472
30567 632 y(the)c(do)s(cumen)m(tation)f(cop)m(y)-8 b(.)236
30568 740 y Fq(=)52 b(0)f(:)217 b Fw(pro)s(ducts)30 b(are)g(stored)g(also)f
30569 (in)g(the)h(do)s(cumen)m(tation)e(section,)j(and)f(eac)m(h)g(pro)s
30570 (duct)709 848 y(stored)i(in)f(the)h(main)d(section)j(p)s(oin)m(ts)f
30571 (bac)m(k)i(to)e(the)h(corresp)s(onding)g(en)m(try)g(in)f(the)709
30572 957 y(do)s(cumen)m(tation)g(section.)236 1065 y Fq(=)52
30573 b(1)f(:)217 b Fw(pro)s(ducts)32 b(are)h(stored)f(also)f(in)h(the)g(do)s
30574 (cumen)m(tation)f(section,)i(but)f(the)h(pro)s(ducts)709
30575 1173 y(stored)g(in)f(the)h(main)e(section)i(p)s(oin)m(t)f(bac)m(k)i(to)
30576 e(the)h(deca)m(ying)g(resonance)h(cop)m(y)g(in)709 1282
30577 y(the)f(main)e(section.)236 1390 y Fq(=)52 b(2)f(:)217
30578 b Fw(pro)s(ducts)23 b(are)g(not)f(stored)h(in)f(the)h(do)s(cumen)m
30579 (tation)e(section;)27 b(the)c(pro)s(ducts)g(stored)709
30580 1498 y(in)f(the)i(main)e(section)i(p)s(oin)m(t)f(bac)m(k)h(to)g(the)g
30581 (deca)m(ying)g(resonance)h(cop)m(y)f(in)f(the)h(main)709
30582 1607 y(section.)0 1715 y Fq(MSTP\(129\))54 b(:)47 b Fw(\(D=10\))e(for)h
30583 (the)h(maximization)42 b(of)k(2)51 b Fn(!)g Fw(3)46 b(pro)s(cesses)i
30584 (\()p Fq(ISET\(ISUB\)=5)p Fw(\))i(eac)m(h)472 1823 y(phase-space)30
30585 b(p)s(oin)m(t)e(in)f Fj(\034)11 b Fw(,)30 b Fj(y)h Fw(and)e
30586 Fj(\034)1788 1787 y Fk(0)1840 1823 y Fw(is)f(tested)h
30587 Fq(MSTP\(129\))i Fw(times)c(in)h(the)g(other)h(dimen-)472
30588 1932 y(sions)g(\(at)f(randomly)f(selected)j(p)s(oin)m(ts\))e(to)g
30589 (determine)g(the)h(e\013ectiv)m(e)h(maxim)m(um)c(in)i(the)472
30590 2040 y(\()p Fj(\034)11 b Fw(,)33 b Fj(y)t Fw(,)f Fj(\034)787
30591 2004 y Fk(0)811 2040 y Fw(\))g(p)s(oin)m(t.)0 2148 y
30592 Fq(MSTP\(131\))54 b(:)47 b Fw(\(D=0\))37 b(master)g(switc)m(h)h(for)f
30593 (pile-up)f(ev)m(en)m(ts,)41 b(i.e.)57 b(sev)m(eral)38
30594 b(indep)s(enden)m(t)h(hadron{)472 2257 y(hadron)47 b(in)m(teractions)e
30595 (generated)i(in)f(the)h(same)f(bunc)m(h{bunc)m(h)i(crossing,)i(with)c
30596 (the)472 2365 y(ev)m(en)m(ts)35 b(follo)m(wing)30 b(one)j(after)f(the)h
30597 (other)g(in)f(the)h(ev)m(en)m(t)h(record.)236 2473 y
30598 Fq(=)52 b(0)f(:)217 b Fw(o\013,)32 b(i.e.)43 b(only)32
30599 b(one)h(ev)m(en)m(t)h(is)e(generated)i(at)e(a)g(time.)236
30600 2582 y Fq(=)52 b(1)f(:)217 b Fw(on,)31 b(i.e.)43 b(sev)m(eral)33
30601 b(ev)m(en)m(ts)g(are)f(allo)m(w)m(ed)f(in)g(the)h(same)f(ev)m(en)m(t)j
30602 (record.)44 b(Information)709 2690 y(on)32 b(the)h(pro)s(cesses)i
30603 (generated)e(ma)m(y)g(b)s(e)f(found)h(in)f Fq(MSTI\(41\))53
30604 b(-)f(MSTI\(50\))p Fw(.)0 2798 y Fq(MSTP\(132\))i(-)d(MSTP\(134\))j(:)
30605 47 b Fw(further)33 b(switc)m(hes)h(for)e(pile-up)g(ev)m(en)m(ts,)j(see)
30606 e(section)g(11.4.)0 2907 y Fq(MSTP\(141\))54 b(:)47 b
30607 Fw(\(D=0\))g(calling)f(of)54 b Fq(PYKCUT)c Fw(in)d(the)h(ev)m(en)m
30608 (t-generation)h(c)m(hain,)j(for)47 b(inclusion)g(of)472
30609 3015 y(user-sp)s(eci\014ed)34 b(cuts.)236 3123 y Fq(=)52
30610 b(0)f(:)217 b Fw(not)32 b(called.)236 3232 y Fq(=)52
30611 b(1)f(:)217 b Fw(called.)0 3340 y Fq(MSTP\(142\))54 b(:)47
30612 b Fw(\(D=0\))54 b(calling)e(of)62 b Fq(PYEVWT)56 b Fw(in)f(the)g(ev)m
30613 (en)m(t-generation)h(c)m(hain,)k(either)55 b(to)g(giv)m(e)472
30614 3448 y(w)m(eigh)m(ted)35 b(ev)m(en)m(ts)g(or)e(to)g(mo)s(dify)f
30615 (standard)i(cross)g(sections.)47 b(See)34 b Fq(PYEVWT)h
30616 Fw(description)472 3557 y(in)d(section)h(9.1)f(for)g(further)h
30617 (details.)236 3665 y Fq(=)52 b(0)f(:)217 b Fw(not)32
30618 b(called.)236 3774 y Fq(=)52 b(1)f(:)217 b Fw(called;)35
30619 b(the)g(distribution)e(of)h(ev)m(en)m(ts)j(among)d(subpro)s(cesses)j
30620 (and)e(in)f(kinematics)709 3882 y(v)-5 b(ariables)36
30621 b(is)i(mo)s(di\014ed)f(b)m(y)i(the)f(factor)g Fq(WTXS)p
30622 Fw(,)h(set)g(b)m(y)g(the)f(user)h(in)e(the)i Fq(PYEVWT)709
30623 3990 y Fw(call,)i(but)f(ev)m(en)m(ts)j(come)d(with)h(a)f(comp)s
30624 (ensating)f(w)m(eigh)m(t)i Fq(PARI\(10\)=1./WTXS)p Fw(,)709
30625 4099 y(suc)m(h)34 b(that)e(total)f(cross)j(sections)f(are)f(unc)m
30626 (hanged.)236 4207 y Fq(=)52 b(2)f(:)217 b Fw(called;)35
30627 b(the)g(cross)h(section)f(itself)e(is)i(mo)s(di\014ed)e(b)m(y)j(the)f
30628 (factor)g Fq(WTXS)p Fw(,)h(set)f(b)m(y)h(the)709 4315
30629 y(user)d(in)f(the)h Fq(PYEVWT)h Fw(call.)0 4424 y Fq(MSTP\(151\))54
30630 b(:)47 b Fw(\(D=0\))32 b(in)m(tro)s(duce)g(smeared)h(p)s(osition)e(of)h
30631 (primary)f(v)m(ertex)k(of)d(ev)m(en)m(ts.)236 4532 y
30632 Fq(=)52 b(0)f(:)217 b Fw(no,)32 b(i.e.)43 b(the)33 b(primary)e(v)m
30633 (ertex)k(of)d(eac)m(h)h(ev)m(en)m(t)i(is)d(at)g(the)h(origin.)236
30634 4640 y Fq(=)52 b(1)f(:)217 b Fw(y)m(es,)49 b(with)44
30635 b(Gaussian)f(distributions)g(separately)i(in)f Fj(x)p
30636 Fw(,)j Fj(y)t Fw(,)g Fj(z)i Fw(and)44 b Fj(t)p Fw(.)79
30637 b(The)46 b(re-)709 4749 y(sp)s(ectiv)m(e)57 b(widths)g(of)f(the)h
30638 (Gaussians)f(ha)m(v)m(e)i(to)e(b)s(e)g(giv)m(en)h(in)f
30639 Fq(PARP\(151\))d(-)709 4857 y(PARP\(154\))p Fw(.)77 b(Also)42
30640 b(pile-up)g(ev)m(en)m(ts)j(obtain)d(separate)i(primary)e(v)m(ertices.)
30641 76 b(No)709 4965 y(pro)m(visions)30 b(are)g(made)g(for)g(more)f
30642 (complicated)g(b)s(eam-sp)s(ot)g(shap)s(es,)j(e.g.)43
30643 b(with)30 b(a)709 5074 y(spread)37 b(in)f Fj(z)41 b Fw(that)c(v)-5
30644 b(aries)36 b(as)h(a)f(function)g(of)g Fj(t)p Fw(.)56
30645 b(Note)36 b(that)h(a)f(large)g(b)s(eam)f(sp)s(ot)709
30646 5182 y(com)m(bined)27 b(with)g(some)g(of)g(the)h Fq(MSTJ\(22\))i
30647 Fw(options)d(ma)m(y)g(lead)g(to)g(man)m(y)g(particles)709
30648 5290 y(not)32 b(b)s(eing)g(allo)m(w)m(ed)g(to)g(deca)m(y)i(at)e(all.)0
30649 5399 y Fq(MSTP\(171\))54 b(:)47 b Fw(\(D=0\))g(p)s(ossibilit)m(y)e(of)j
30650 (v)-5 b(ariable)46 b(energies)i(from)e(one)i(ev)m(en)m(t)i(to)d(the)h
30651 (next.)90 b(F)-8 b(or)472 5507 y(further)33 b(details)f(see)h
30652 (subsection)h(9.6.)236 5615 y Fq(=)52 b(0)f(:)217 b Fw(no;)32
30653 b(i.e.)43 b(the)33 b(energy)h(is)e(\014xed)i(at)e(the)h(initialization)
30654 27 b(call.)1817 5953 y(161)p eop
30655 %%Page: 162 168
30656 162 167 bop 236 -18 a Fq(=)52 b(1)f(:)217 b Fw(y)m(es;)34
30657 b(i.e.)43 b(a)32 b(new)i(energy)f(has)g(to)g(b)s(e)f(giv)m(en)h(for)f
30658 (eac)m(h)i(new)f(ev)m(en)m(t.)0 90 y Fq(MSTP\(172\))54
30659 b(:)47 b Fw(\(D=2\))40 b(options)g(for)g(generation)f(of)i(ev)m(en)m
30660 (ts)h(with)f(v)-5 b(ariable)38 b(energies,)43 b(applicable)472
30661 198 y(when)34 b Fq(MSTP\(171\)=1)p Fw(.)236 307 y Fq(=)52
30662 b(1)f(:)217 b Fw(an)40 b(ev)m(en)m(t)i(is)e(generated)i(at)e(the)h
30663 (requested)i(energy)-8 b(,)43 b(i.e.)67 b(in)m(ternally)39
30664 b(a)h(lo)s(op)f(is)709 415 y(p)s(erformed)28 b(o)m(v)m(er)i(p)s
30665 (ossible)e(ev)m(en)m(t)i(con\014gurations)e(un)m(til)g(one)h(is)f
30666 (accepted.)43 b(If)29 b(the)709 523 y(requested)37 b(c.m.)49
30667 b(energy)36 b(of)e(an)g(ev)m(en)m(t)j(is)d(b)s(elo)m(w)i
30668 Fq(PARP\(2\))g Fw(the)f(run)g(is)g(ab)s(orted.)709 632
30669 y(Cross-section)41 b(information)c(can)k(not)f(b)s(e)h(trusted)h(with)e
30670 (this)g(option,)i(since)e(it)709 740 y(dep)s(ends)34
30671 b(on)e(ho)m(w)i(y)m(ou)f(decided)g(to)f(pic)m(k)h(the)g(requested)i
30672 (energies.)236 848 y Fq(=)52 b(2)f(:)217 b Fw(only)41
30673 b(one)h(ev)m(en)m(t)i(con\014guration)e(is)f(tried.)71
30674 b(If)42 b(that)g(is)g(accepted,)k(the)c(ev)m(en)m(t)i(is)709
30675 957 y(generated)j(in)f(full.)84 b(If)47 b(not,)j(no)d(ev)m(en)m(t)h(is)
30676 f(generated,)k(and)c(the)g(status)g(co)s(de)709 1065
30677 y Fq(MSTI\(61\)=1)c Fw(is)d(returned.)68 b(Y)-8 b(ou)40
30678 b(are)h(then)g(exp)s(ected)h(to)e(giv)m(e)h(a)f(new)h(energy)-8
30679 b(,)709 1173 y(lo)s(oping)32 b(un)m(til)i(an)i(acceptable)f(ev)m(en)m
30680 (t)i(is)e(found.)52 b(No)35 b(ev)m(en)m(t)i(is)e(generated)h(if)e(the)
30681 709 1282 y(requested)42 b(c.m.)64 b(energy)41 b(is)e(b)s(elo)m(w)i
30682 Fq(PARP\(2\))p Fw(,)i(instead)d Fq(MSTI\(61\)=1)i Fw(is)d(set)i(to)709
30683 1390 y(signal)33 b(the)j(failure.)49 b(In)35 b(principle,)f(cross)i
30684 (sections)g(should)f(come)f(out)h(correctly)709 1498
30685 y(with)d(this)g(option.)0 1607 y Fq(MSTP\(173\))54 b(:)47
30686 b Fw(\(D=0\))36 b(p)s(ossibilit)m(y)f(for)i(user)h(to)f(giv)m(e)g(in)f
30687 (an)h(ev)m(en)m(t)i(w)m(eigh)m(t)f(to)f(comp)s(ensate)g(for)g(a)472
30688 1715 y(biased)c(c)m(hoice)g(of)f(b)s(eam)g(sp)s(ectrum.)236
30689 1823 y Fq(=)52 b(0)f(:)217 b Fw(no,)32 b(i.e.)43 b(ev)m(en)m(t)35
30690 b(w)m(eigh)m(t)e(is)f(unit)m(y)-8 b(.)236 1932 y Fq(=)52
30691 b(1)f(:)217 b Fw(y)m(es;)54 b(w)m(eigh)m(t)47 b(to)e(b)s(e)i(giv)m(en)f
30692 (for)g(eac)m(h)h(ev)m(en)m(t)h(in)d Fq(PARP\(173\))p
30693 Fw(,)52 b(with)46 b(maxim)m(um)709 2040 y(w)m(eigh)m(t)33
30694 b(giv)m(en)f(at)h(initialization)27 b(in)k Fq(PARP\(174\))p
30695 Fw(.)0 2148 y Fq(MSTP\(181\))54 b(:)47 b Fw(\(R\))32
30696 b Fm(Pythia)h Fw(v)m(ersion)g(n)m(um)m(b)s(er.)0 2257
30697 y Fq(MSTP\(182\))54 b(:)47 b Fw(\(R\))32 b Fm(Pythia)h
30698 Fw(sub)m(v)m(ersion)h(n)m(um)m(b)s(er.)0 2365 y Fq(MSTP\(183\))54
30699 b(:)47 b Fw(\(R\))32 b(last)g(y)m(ear)i(of)e(c)m(hange)h(for)f
30700 Fm(Pythia)p Fw(.)0 2473 y Fq(MSTP\(184\))54 b(:)47 b
30701 Fw(\(R\))32 b(last)g(mon)m(th)g(of)g(c)m(hange)i(for)e
30702 Fm(Pythia)p Fw(.)0 2582 y Fq(MSTP\(185\))54 b(:)47 b
30703 Fw(\(R\))32 b(last)g(da)m(y)h(of)g(c)m(hange)g(for)f
30704 Fm(Pythia)p Fw(.)0 2690 y Fq(MSTP\(186\))54 b(:)47 b
30705 Fw(\(R\))35 b(earliest)g(sub)m(v)m(ersion)i(of)42 b Fm(Jetset)35
30706 b Fw(v)m(ersion)h(7)f(with)g(whic)m(h)h(this)f Fm(Pythia)h
30707 Fw(sub-)472 2798 y(v)m(ersion)e(can)e(b)s(e)h(run.)0
30708 2961 y Fq(PARP\(1\))53 b(:)48 b Fw(\(D=0.25)d(GeV\))i(nominal)e(\003)
30709 1652 2976 y Fl(QCD)1862 2961 y Fw(used)j(in)f(running)f
30710 Fj(\013)2667 2976 y Fl(s)2746 2961 y Fw(for)h(hard)g(scattering)f
30711 (\(see)472 3069 y Fq(MSTP\(3\))p Fw(\).)0 3178 y Fq(PARP\(2\))53
30712 b(:)48 b Fw(\(D=10.)g(GeV\))35 b(lo)m(w)m(est)g(c.m.)49
30713 b(energy)36 b(for)e(the)h(ev)m(en)m(t)i(as)e(a)f(whole)g(that)h(the)g
30714 (program)472 3286 y(will)c(accept)i(to)f(sim)m(ulate.)0
30715 3394 y Fq(PARP\(13\))53 b(:)48 b Fw(\(D=1.)81 b(GeV)1099
30716 3358 y Fl(2)1138 3394 y Fw(\))46 b Fj(Q)1299 3358 y Fl(2)1299
30717 3419 y(max)1480 3394 y Fw(scale,)j(to)c(b)s(e)g(set)h(b)m(y)h(user)f
30718 (for)f(de\014ning)g(maxim)m(um)e(scale)472 3503 y(allo)m(w)m(ed)32
30719 b(for)g(photopro)s(duction)g(when)i(using)e(the)h(option)f
30720 Fq(MSTP\(13\)=2)p Fw(.)0 3611 y Fq(PARP\(14\))53 b(:)48
30721 b Fw(\(D=0.01\))35 b(in)h(the)h(n)m(umerical)f(in)m(tegration)f(of)h
30722 (quark)i(and)f(gluon)e(parton)i(distribu-)472 3719 y(tions)c(inside)g
30723 (an)h(electron,)g(the)g(successiv)m(e)i(halvings)d(of)g(ev)-5
30724 b(aluation-p)s(oin)m(t)31 b(spacing)i(is)472 3828 y(in)m(terrupted)40
30725 b(when)g(t)m(w)m(o)g(v)-5 b(alues)39 b(agree)h(in)e(relativ)m(e)g
30726 (size,)j Fn(j)p Fw(new)p Fn(\000)p Fw(old)p Fn(j)p Fw(/\(new+old\),)g
30727 (to)472 3936 y(b)s(etter)32 b(than)e Fq(PARP\(14\))p
30728 Fw(.)45 b(There)32 b(are)f(hardwired)g(lo)m(w)m(er)g(and)g(upp)s(er)g
30729 (limits)d(of)i(2)h(and)g(8)472 4044 y(halvings,)h(resp)s(ectiv)m(ely)-8
30730 b(.)0 4153 y Fq(PARP\(15\))53 b(:)48 b Fw(\(D=0.5)24
30731 b(GeV\))h(lo)m(w)m(er)h(cut-o\013)f Fj(p)1750 4168 y
30732 Fl(0)1814 4153 y Fw(used)i(to)e(de\014ne)h(minim)m(um)c(transv)m(erse)
30733 28 b(momen)m(tum)472 4261 y(in)k(branc)m(hings)h Fj(\015)g
30734 Fn(!)27 b Fw(q)p 1339 4208 52 4 v(q)34 b(in)e(the)h(anomalous)d(ev)m
30735 (en)m(t)35 b(class)e(of)f Fj(\015)5 b Fw(p)32 b(in)m(teractions.)0
30736 4369 y Fq(PARP\(16\))53 b(:)48 b Fw(\(D=1.\))40 b(the)28
30737 b(anomalous)d(parton-distribution)f(functions)j(of)f(the)h(photon)g
30738 (are)f(tak)m(en)472 4478 y(to)31 b(ha)m(v)m(e)h(the)g(c)m(harm)e(and)h
30739 (b)s(ottom)f(\015a)m(v)m(our)i(thresholds)f(at)g(virtualit)m(y)f
30740 Fq(PARP\(16\))p Fn(\002)p Fj(m)3708 4442 y Fl(2)3708
30741 4502 y(q)3752 4478 y Fw(.)0 4598 y Fq(PARP\(17\))53 b(:)48
30742 b Fw(\(D=1.\))57 b(rescaling)37 b(factor)g(used)h(for)f(the)h
30743 Fj(Q)g Fw(argumen)m(t)f(of)g(the)h(anomalous)e(parton)472
30744 4707 y(distributions)c(of)g(the)h(photon,)f(see)i Fq(MSTP\(15\))p
30745 Fw(.)0 4815 y Fq(PARP\(31\))53 b(:)48 b Fw(\(D=1.5\))27
30746 b(common)g Fj(K)36 b Fw(factor)28 b(m)m(ultiplying)d(the)k(di\013eren)m
30747 (tial)d(cross)k(section)f(for)e(hard)472 4923 y(parton{parton)34
30748 b(pro)s(cesses)h(when)g Fq(MSTP\(33\)=1)i Fw(or)c Fq(2)p
30749 Fw(,)i(with)e(the)i(exception)f(of)f(colour)472 5032
30750 y(annihilation)c(graphs)k(in)f(the)h(latter)f(case.)0
30751 5140 y Fq(PARP\(32\))53 b(:)48 b Fw(\(D=2.0\))38 b(sp)s(ecial)g
30752 Fj(K)47 b Fw(factor)38 b(m)m(ultiplying)e(the)k(di\013eren)m(tial)d
30753 (cross)k(section)e(in)f(hard)472 5248 y(colour)24 b(annihilation)c
30754 (graphs,)27 b(including)22 b(resonance)k(pro)s(duction,)f(when)h
30755 Fq(MSTP\(33\)=2)p Fw(.)0 5357 y Fq(PARP\(33\))53 b(:)48
30756 b Fw(\(D=0.075\))31 b(this)h(factor)g(is)g(used)i(to)e(m)m(ultiply)f
30757 (the)i(ordinary)f Fj(Q)2979 5321 y Fl(2)3051 5357 y Fw(scale)g(in)g
30758 Fj(\013)3460 5372 y Fl(s)3525 5357 y Fw(at)g(the)472
30759 5465 y(hard)39 b(in)m(teraction)f(for)h Fq(MSTP\(33\)=3)p
30760 Fw(.)65 b(The)40 b(e\013ectiv)m(e)g Fj(K)46 b Fw(factor)38
30761 b(th)m(us)i(obtained)f(is)f(in)472 5573 y(accordance)c(with)e(the)h
30762 (results)g(in)f([Ell86)n(].)1817 5953 y(162)p eop
30763 %%Page: 163 169
30764 163 168 bop 0 -18 a Fq(PARP\(34\))53 b(:)48 b Fw(\(D=1.\))53
30765 b(the)36 b Fj(Q)1164 -55 y Fl(2)1240 -18 y Fw(scale)g(de\014ned)h(b)m
30766 (y)i Fq(MSTP\(32\))f Fw(is)d(m)m(ultiplied)e(b)m(y)38
30767 b Fq(PARP\(34\))g Fw(when)472 90 y(it)31 b(is)f(used)j(as)e(argumen)m
30768 (t)g(for)g(parton)g(distributions)f(and)h Fj(\013)2720
30769 105 y Fl(s)2784 90 y Fw(at)f(the)i(hard)f(in)m(teraction.)472
30770 198 y(It)37 b(do)s(es)h(not)e(a\013ect)i Fj(\013)1314
30771 213 y Fl(s)1383 198 y Fw(when)g Fq(MSTP\(33\)=3)p Fw(,)i(nor)d(do)s(es)
30772 g(it)f(c)m(hange)i(the)f Fj(Q)3299 162 y Fl(2)3376 198
30773 y Fw(argumen)m(t)472 307 y(of)c(parton)f(sho)m(w)m(ers.)0
30774 415 y Fq(PARP\(35\))53 b(:)48 b Fw(\(D=0.20\))25 b(\014x)i
30775 Fj(\013)1180 430 y Fl(s)1238 415 y Fw(v)-5 b(alue)26
30776 b(that)g(is)g(used)h(in)f(the)h(hea)m(vy-\015a)m(v)m(our)h(threshold)e
30777 (factor)g(when)472 523 y Fq(MSTP\(35\)=1)p Fw(.)0 632
30778 y Fq(PARP\(36\))53 b(:)48 b Fw(\(D=0.)g(GeV\))34 b(the)h(width)f(\000)
30779 1647 647 y Fl(Q)1740 632 y Fw(for)g(the)g(hea)m(vy)i(\015a)m(v)m(our)f
30780 (studied)g(in)f(pro)s(cesses)i(ISUB)472 740 y(=)d(81)f(or)g(82;)g(to)h
30781 (b)s(e)f(used)i(for)e(the)h(threshold)g(factor)f(when)i
30782 Fq(MSTP\(35\)=2)p Fw(.)0 848 y Fq(PARP\(37\))53 b(:)48
30783 b Fw(\(D=2.\))k(for)36 b Fq(MSTP\(37\)=1)i Fw(this)e(regulates)g(the)g
30784 (p)s(oin)m(t)f(at)h(whic)m(h)g(the)h(reference)g(on-)472
30785 957 y(shell)24 b(quark)h(mass)f(in)g(Higgs)g(couplings)f(is)h(assumed)h
30786 (de\014ned;)k(sp)s(eci\014cally)23 b(the)i(running)472
30787 1065 y(quark)h(mass)f(is)f(assumed)i(to)e(coincide)g(with)h(the)g
30788 (\014x)g(one)h(at)e(an)h(energy)h(scale)e Fq(PARP\(37\))472
30789 1173 y Fw(times)32 b(the)h(\014x)g(quark)h(mass,)e(i.e.)43
30790 b Fj(m)1835 1188 y Fl(running)2080 1173 y Fw(\()p Fq(PARP\(37\))p
30791 Fn(\002)p Fj(m)2688 1188 y Fl(\014x)2771 1173 y Fw(\))28
30792 b(=)g Fj(m)3026 1188 y Fl(\014x)3107 1173 y Fw(.)0 1282
30793 y Fq(PARP\(38\))53 b(:)48 b Fw(\(D=0.70)30 b(GeV)1146
30794 1245 y Fl(3)1185 1282 y Fw(\))h(the)h(squared)g(w)m(a)m(v)m(e)h
30795 (function)e(at)g(the)g(origin,)e Fn(j)p Fj(R)q Fw(\(0\))p
30796 Fn(j)3240 1245 y Fl(2)3279 1282 y Fw(,)i(of)g(the)h(J)p
30797 Fj(= )472 1390 y Fw(w)m(a)m(v)m(e)j(function.)43 b(Used)34
30798 b(for)e(pro)s(cess)h(86.)43 b(See)34 b(ref.)43 b([Glo88)n(].)0
30799 1498 y Fq(PARP\(39\))53 b(:)48 b Fw(\(D=0.006)35 b(GeV)1200
30800 1462 y Fl(3)1239 1498 y Fw(\))h(the)h(squared)g(deriv)-5
30801 b(ativ)m(e)36 b(of)g(the)g(w)m(a)m(v)m(e)i(function)e(at)g(the)h
30802 (origin,)472 1607 y Fn(j)p Fj(R)575 1571 y Fk(0)598 1607
30803 y Fw(\(0\))p Fn(j)751 1571 y Fl(2)790 1607 y Fj(=m)924
30804 1571 y Fl(2)964 1607 y Fw(,)h(of)f(the)g Fj(\037)1378
30805 1622 y Fl(c)1451 1607 y Fw(w)m(a)m(v)m(e)h(functions.)57
30806 b(Used)38 b(for)f(the)g(pro)s(cesses)i(87,)f(88)f(and)g(89.)472
30807 1715 y(See)d(ref.)43 b([Glo88)n(].)0 1823 y Fq(PARP\(41\))53
30808 b(:)48 b Fw(\(D=0.020)38 b(GeV\))h(in)g(the)h(pro)s(cess)h(of)e
30809 (generating)g(mass)h(for)f(resonances,)k(and)d(op-)472
30810 1932 y(tionally)27 b(to)i(force)g(that)g(mass)g(to)g(b)s(e)h(in)e(a)h
30811 (giv)m(en)h(range,)f(only)g(resonances)i(with)e(a)g(total)472
30812 2040 y(width)h(in)f(excess)j(of)k Fq(PARP\(41\))c Fw(are)e(generated)g
30813 (according)g(to)f(a)g(Breit{Wigner)g(shap)s(e)472 2148
30814 y(\(if)e(allo)m(w)m(ed)g(b)m(y)j Fq(MSTP\(42\))p Fw(\),)g(while)d
30815 (narro)m(w)m(er)i(resonances)g(are)f(put)g(on)f(the)i(mass)e(shell.)0
30816 2257 y Fq(PARP\(42\))53 b(:)48 b Fw(\(D=2.)84 b(GeV\))46
30817 b(minim)m(um)d(mass)k(of)f(resonances)i(assumed)f(to)f(b)s(e)h(allo)m
30818 (w)m(ed)e(when)472 2365 y(ev)-5 b(aluating)38 b(total)g(width)h(of)g(H)
30819 1662 2329 y Fl(0)1741 2365 y Fw(to)g(Z)1927 2329 y Fl(0)1966
30820 2365 y Fw(Z)2026 2329 y Fl(0)2105 2365 y Fw(or)g(W)2332
30821 2329 y Fl(+)2391 2365 y Fw(W)2492 2329 y Fk(\000)2591
30822 2365 y Fw(for)g(cases)i(when)g(the)e(H)3508 2329 y Fl(0)3587
30823 2365 y Fw(is)g(so)472 2473 y(ligh)m(t)30 b(that)h(\(at)f(least\))h(one)
30824 g(Z)p Fj(=)p Fw(W)h(is)f(forced)g(to)g(b)s(e)g(o\013)f(the)i(mass)f
30825 (shell.)42 b(Also)30 b(generally)472 2582 y(used)43 b(as)e(safet)m(y)h
30826 (c)m(hec)m(k)i(on)d(minim)m(um)d(mass)j(of)g(resonance.)70
30827 b(Note)42 b(that)e(some)h Fq(CKIN)472 2690 y Fw(v)-5
30828 b(alues)33 b(ma)m(y)f(pro)m(vide)h(additional)d(constrain)m(ts.)0
30829 2798 y Fq(PARP\(43\))53 b(:)48 b Fw(\(D=0.10\))40 b(precision)h
30830 (parameter)h(used)g(in)f(n)m(umerical)g(in)m(tegration)f(of)h(width)g
30831 (in)m(to)472 2907 y(c)m(hannel)33 b(with)g(at)f(least)g(one)h(daugh)m
30832 (ter)g(o\013)f(the)h(mass)g(shell.)0 3015 y Fq(PARP\(44\))53
30833 b(:)48 b Fw(\(D=1000.\))104 b(the)54 b Fj(\027)59 b Fw(parameter)53
30834 b(of)g(the)h(strongly)f(in)m(teracting)f(Z)p Fj(=)p Fw(W)i(mo)s(del)e
30835 (of)472 3123 y(Dobado,)32 b(Herrero)h(and)g(T)-8 b(erron)33
30836 b([Dob91)o(].)0 3232 y Fq(PARP\(45\))53 b(:)48 b Fw(\(D=2054.)42
30837 b(GeV\))31 b(the)h(e\013ectiv)m(e)h(tec)m(hni-)p Fj(\032)f
30838 Fw(mass)g(parameter)f(of)h(the)g(strongly)f(in)m(ter-)472
30839 3340 y(acting)40 b(mo)s(del)f(of)h(Dobado,)i(Herrero)f(and)g(T)-8
30840 b(erron)41 b([Dob91)o(];)k(see)d Fq(MSTP\(46\)=5)p Fw(.)70
30841 b(On)472 3448 y(ph)m(ysical)36 b(grounds)g(it)f(should)g(not)g(b)s(e)h
30842 (c)m(hosen)h(smaller)d(than)i(ab)s(out)f(1)g(T)-8 b(eV)36
30843 b(or)g(larger)472 3557 y(than)d(ab)s(out)f(the)h(default)f(v)-5
30844 b(alue.)0 3665 y Fq(PARP\(46\))53 b(:)48 b Fw(\(D=123.)54
30845 b(GeV\))36 b(the)h Fj(F)1479 3680 y Fh(\031)1563 3665
30846 y Fw(deca)m(y)h(constan)m(t)f(that)g(app)s(ears)g(in)m(v)m(ersely)g
30847 (quadratically)472 3774 y(in)32 b(all)f(tec)m(hni-)p
30848 Fj(\021)36 b Fw(partial)30 b(deca)m(y)k(widths)f([Eic84,)f(App92].)0
30849 3882 y Fq(PARP\(47\))53 b(:)48 b Fw(\(D=246.)100 b(GeV\))52
30850 b(v)-5 b(acuum)52 b(exp)s(ectation)g(v)-5 b(alue)51 b
30851 Fj(v)56 b Fw(used)d(in)e(the)i(DHT)f(scenario)472 3990
30852 y([Dob91])43 b(to)g(de\014ne)i(the)f(width)g(of)f(the)h(tec)m(hni-)p
30853 Fj(\032)p Fw(;)49 b(this)43 b(width)h(is)f(in)m(v)m(ersely)h(prop)s
30854 (or-)472 4099 y(tional)31 b Fj(v)800 4062 y Fl(2)839
30855 4099 y Fw(.)0 4207 y Fq(PARP\(51\))53 b(:)48 b Fw(\(D=1.\))i(if)34
30856 b(parton)h(distributions)e(for)i(ligh)m(t)e(\015a)m(v)m(ours)k(ha)m(v)m
30857 (e)f(to)f(b)s(e)g(extrap)s(olated)g(to)472 4315 y Fj(x)i
30858 Fw(v)-5 b(alues)35 b(lo)m(w)m(er)h(than)g(co)m(v)m(ered)h(b)m(y)g(the)f
30859 (parametrizations,)e(an)i Fj(x)2981 4279 y Fk(\000)p
30860 Fh(b)3106 4315 y Fw(b)s(eha)m(viour,)h(with)472 4424
30861 y Fj(b)51 b Fw(=)p Fq(PARP\(51\))p Fw(,)g(is)45 b(assumed)i(in)e(that)g
30862 (region.)82 b(This)46 b(option)f(only)g(applies)g(for)g(the)472
30863 4532 y(EHLQ)33 b(proton)g(parton)f(distributions)f(that)h(are)h(in)m
30864 (ternal)e(to)i Fm(Pythia)p Fw(.)0 4640 y Fq(PARP\(61\))53
30865 b(-)f(PARP\(65\))h(:)48 b Fw(\(C\))33 b(parameters)f(for)g
30866 (initial-state)d(radiation,)h(see)k(section)f(10.4.)0
30867 4749 y Fq(PARP\(71\))53 b(-)f(PARP\(72\))h(:)48 b Fw(\(C\))33
30868 b(parameter)f(for)g(\014nal-state)g(radiation,)e(see)k(section)e(10.4.)
30869 0 4857 y Fq(PARP\(81\))53 b(-)f(PARP\(88\))h(:)48 b Fw(parameters)32
30870 b(for)g(m)m(ultiple)e(in)m(teractions,)j(see)g(section)g(11.4.)0
30871 4965 y Fq(PARP\(91\))53 b(-)f(PARP\(100\))i(:)47 b Fw(parameters)33
30872 b(for)f(b)s(eam)g(remnan)m(t)g(treatmen)m(t,)h(see)g(section)g(11.4.)0
30873 5074 y Fq(PARP\(101\))54 b(:)47 b Fw(\(D=0.50\))26 b(fraction)g(of)g
30874 (di\013ractiv)m(e)h(systems)h(in)e(whic)m(h)i(a)f(quark)h(is)e(assumed)
30875 i(kic)m(k)m(ed)472 5182 y(out)33 b(b)m(y)g(the)g(p)s(omeron)f(rather)h
30876 (than)f(a)h(gluon;)e(applicable)g(for)h(option)f Fq(MSTP\(101\)=3)p
30877 Fw(.)0 5290 y Fq(PARP\(102\))54 b(:)47 b Fw(\(D=0.28)26
30878 b(GeV\))g(the)h(mass)g(sp)s(ectrum)g(of)g(di\013ractiv)m(e)f(states)h
30879 (\(in)f(single)g(and)h(double)472 5399 y(di\013ractiv)m(e)41
30880 b(scattering\))g(is)f(assumed)i(to)f(start)g Fq(PARP\(102\))j
30881 Fw(ab)s(o)m(v)m(e)e(the)f(mass)g(of)g(the)472 5507 y(particle)47
30882 b(that)h(is)f(di\013ractiv)m(ely)g(excited.)91 b(In)48
30883 b(this)f(connection,)53 b(an)47 b(incoming)f Fj(\015)53
30884 b Fw(is)472 5615 y(tak)m(en)34 b(to)e(ha)m(v)m(e)i(the)f(selected)h
30885 (VMD)e(meson)h(mass,)g(i.e.)43 b Fj(m)2702 5630 y Fh(\032)2742
30886 5615 y Fw(,)33 b Fj(m)2887 5630 y Fh(!)2938 5615 y Fw(,)f
30887 Fj(m)3082 5630 y Fh(\036)3161 5615 y Fw(or)g Fj(m)3365
30888 5631 y Fl(J)p Fh(= )3490 5615 y Fw(.)1817 5953 y(163)p
30889 eop
30890 %%Page: 164 170
30891 164 169 bop 0 -18 a Fq(PARP\(103\))54 b(:)47 b Fw(\(D=1.0)26
30892 b(GeV\))h(if)f(the)i(mass)f(of)g(a)g(di\013ractiv)m(e)f(state)i(is)e
30893 (less)i(than)f Fq(PARP\(103\))j Fw(ab)s(o)m(v)m(e)472
30894 90 y(the)47 b(mass)f(of)g(the)g(particle)f(that)h(is)g(di\013ractiv)m
30895 (ely)f(excited,)50 b(the)d(state)g(is)e(forced)i(to)472
30896 198 y(deca)m(y)37 b(isotropically)c(in)m(to)i(a)g(t)m(w)m(o-b)s(o)s(dy)
30897 g(c)m(hannel.)53 b(In)36 b(this)f(connection,)h(an)g(incoming)472
30898 307 y Fj(\015)42 b Fw(is)37 b(tak)m(en)g(to)g(ha)m(v)m(e)h(the)f
30899 (selected)h(VMD)f(meson)g(mass,)h(i.e.)56 b Fj(m)2945
30900 322 y Fh(\032)2986 307 y Fw(,)37 b Fj(m)3135 322 y Fh(!)3186
30901 307 y Fw(,)h Fj(m)3336 322 y Fh(\036)3419 307 y Fw(or)f
30902 Fj(m)3628 322 y Fl(J)p Fh(= )3752 307 y Fw(.)472 415
30903 y(If)j(the)h(mass)f(is)g(higher)f(than)h(this)g(threshold,)i(the)e
30904 (standard)h(string)e(fragmen)m(tation)472 523 y(mac)m(hinery)27
30905 b(is)f(used.)42 b(The)27 b(forced)g(t)m(w)m(o-b)s(o)s(dy)g(deca)m(y)h
30906 (is)d(alw)m(a)m(ys)i(carried)f(out,)i(also)d(when)472
30907 632 y Fq(MSTP\(111\)=0)p Fw(.)0 740 y Fq(PARP\(104\))54
30908 b(:)47 b Fw(\(D=0.8)41 b(GeV\))g(minim)m(um)e(energy)j(ab)s(o)m(v)m(e)h
30909 (threshold)f(for)f(hadron{hadron)h(cross)472 848 y(sections)34
30910 b(to)e(b)s(e)h(de\014ned.)0 957 y Fq(PARP\(111\))54 b(:)47
30911 b Fw(\(D=2.)63 b(GeV\))39 b(used)h(to)f(de\014ne)i(the)e(minim)m(um)d
30912 (in)m(v)-5 b(arian)m(t)38 b(mass)h(of)g(the)h(remnan)m(t)472
30913 1065 y(hadronic)j(system)h(\(i.e.)75 b(when)44 b(in)m(teracting)e
30914 (partons)i(ha)m(v)m(e)g(b)s(een)g(tak)m(en)g(a)m(w)m(a)m(y\),)j(to-)472
30915 1173 y(gether)34 b(with)e(original)d(hadron)k(masses)g(and)g(extra)g
30916 (parton)f(masses.)0 1282 y Fq(PARP\(121\))54 b(:)47 b
30917 Fw(\(D=1.\))41 b(the)28 b(maxima)d(obtained)i(at)g(initial)d
30918 (maximization)g(are)j(m)m(ultiplied)d(b)m(y)29 b(this)472
30919 1390 y(factor)k(if)40 b Fq(MSTP\(121\)=1)p Fw(;)d(t)m(ypically)c
30920 Fq(PARP\(121\))j Fw(w)m(ould)d(b)s(e)h(giv)m(en)g(as)f(the)h(pro)s
30921 (duct)g(of)472 1498 y(the)g(violation)c(factors)j(observ)m(ed)i(\(i.e.)
30922 44 b(the)33 b(ratio)f(of)g(\014nal)h(maxim)m(um)d(v)-5
30923 b(alue)33 b(to)f(initial)472 1607 y(maxim)m(um)f(v)-5
30924 b(alue\))32 b(for)g(the)h(giv)m(en)f(pro)s(cess\(es\).)0
30925 1715 y Fq(PARP\(122\))54 b(:)47 b Fw(\(D=0.4\))27 b(fraction)h(of)g
30926 (total)f(probabilit)m(y)f(that)i(is)g(shared)i(demo)s(cratically)25
30927 b(b)s(et)m(w)m(een)472 1823 y(the)36 b Fq(COEF)h Fw(co)s(e\016cien)m
30928 (ts)g(op)s(en)f(for)f(the)h(giv)m(en)f(v)-5 b(ariable,)35
30929 b(with)g(the)h(remaining)e(fraction)472 1932 y(distributed)f(according)
30930 f(to)g(the)h(optimization)c(results)k(of)39 b Fq(PYMAXI)p
30931 Fw(.)0 2040 y Fq(PARP\(131\))54 b(:)47 b Fw(parameter)32
30932 b(for)g(pile-up)f(ev)m(en)m(ts,)k(see)f(section)f(11.4.)0
30933 2148 y Fq(PARP\(151\))54 b(-)d(PARP\(154\))j(:)47 b Fw(\(D=4*0.\))85
30934 b(\(C\))47 b(regulate)f(the)h(assumed)g(b)s(eam-sp)s(ot)f(size.)86
30935 b(F)-8 b(or)472 2257 y Fq(MSTP\(151\)=1)33 b Fw(the)d
30936 Fj(x)p Fw(,)g Fj(y)t Fw(,)g Fj(z)k Fw(and)29 b Fj(t)h
30937 Fw(co)s(ordinates)f(of)g(the)h(primary)e(v)m(ertex)j(of)e(eac)m(h)i(ev)
30938 m(en)m(t)472 2365 y(are)44 b(selected)g(according)e(to)h(four)g(indep)s
30939 (enden)m(t)i(Gaussians.)75 b(The)44 b(widths)f(of)g(these)472
30940 2473 y(Gaussians)33 b(are)g(giv)m(en)g(b)m(y)h(the)g(four)e
30941 (parameters,)i(where)g(the)f(\014rst)h(three)f(are)g(in)g(units)472
30942 2582 y(of)g(mm)e(and)h(the)h(fourth)g(in)e(mm/)p Fj(c)p
30943 Fw(.)0 2690 y Fq(PARP\(161\))54 b(-)d(PARP\(164\))j(:)47
30944 b Fw(\(D=2.20,)32 b(23.6,)g(18.4,)f(11.5\))h(couplings)g
30945 Fj(f)2845 2654 y Fl(2)2834 2715 y Fh(V)2895 2690 y Fj(=)p
30946 Fw(4)p Fj(\031)k Fw(of)c(the)g(photon)h(to)472 2798 y(the)g
30947 Fj(\032)690 2762 y Fl(0)730 2798 y Fw(,)g Fj(!)t Fw(,)f
30948 Fj(\036)g Fw(and)h(J)p Fj(= )j Fw(v)m(ector)e(mesons.)0
30949 2907 y Fq(PARP\(171\))54 b(:)47 b Fw(to)d(b)s(e)g(set,)j(ev)m(en)m(t-b)
30950 m(y-ev)m(en)m(t,)k(when)44 b(v)-5 b(ariable)43 b(energies)h(are)g(allo)
30951 m(w)m(ed,)i(i.e.)76 b(when)472 3015 y Fq(MSTP\(171\)=1)p
30952 Fw(.)71 b(If)47 b Fq(PYINIT)42 b Fw(is)e(called)f(with)h
30953 Fq(FRAME='CMS')k Fw(\()p Fq(='FIXT')p Fw(\),)e Fq(PARP\(171\))472
30954 3123 y Fw(m)m(ultiplies)20 b(the)k(c.m.)40 b(energy)24
30955 b(\(b)s(eam)e(energy\))h(used)h(at)f(initialization.)35
30956 b(F)-8 b(or)22 b(the)h(options)472 3232 y Fq('USER')p
30957 Fw(,)38 b Fq('FOUR')f Fw(and)e Fq('FIVE')p Fw(,)j Fq(PARP\(171\))f
30958 Fw(is)e(dumm)m(y)-8 b(,)36 b(since)g(there)h(the)f(momen)m(ta)472
30959 3340 y(are)d(set)g(in)f(the)h Fq(P)g Fw(arra)m(y)-8 b(.)0
30960 3448 y Fq(PARP\(173\))54 b(:)47 b Fw(ev)m(en)m(t)35 b(w)m(eigh)m(t)e
30961 (to)f(b)s(e)h(giv)m(en)f(b)m(y)i(user)f(when)h Fq(MSTP\(173\)=1)p
30962 Fw(.)0 3557 y Fq(PARP\(174\))54 b(:)47 b Fw(\(D=1.\))84
30963 b(maxim)m(um)45 b(ev)m(en)m(t)j(w)m(eigh)m(t)f(that)f(will)e(b)s(e)j
30964 (encoun)m(tered)h(in)e Fq(PARP\(173\))472 3665 y Fw(during)g(the)h
30965 (course)h(of)e(a)h(run)f(with)h Fq(MSTP\(173\)=1)p Fw(;)56
30966 b(to)47 b(b)s(e)f(used)i(to)e(optimize)f(the)472 3774
30967 y(e\016ciency)38 b(of)e(the)h(ev)m(en)m(t)i(generation.)54
30968 b(It)37 b(is)f(alw)m(a)m(ys)h(allo)m(w)m(ed)f(to)g(use)i(a)e(larger)f
30969 (b)s(ound)472 3882 y(than)e(the)g(true)g(one,)g(but)g(with)f(a)g
30970 (corresp)s(onding)h(loss)f(in)g(e\016ciency)-8 b(.)0
30971 4156 y Fp(9.4)135 b(General)46 b(Ev)l(en)l(t)g(Information)0
30972 4328 y Fw(When)39 b(an)f(ev)m(en)m(t)j(is)c(generated)j(with)e
30973 Fq(PYEVNT)p Fw(,)i(some)e(information)d(on)j(it)f(is)h(stored)h(in)f
30974 (the)g Fq(MSTI)0 4437 y Fw(and)k Fq(PARI)h Fw(arra)m(ys)g(of)e(the)i
30975 Fq(PYPARS)g Fw(common)e(blo)s(c)m(k)h(\(often)g(copied)g(directly)f
30976 (from)g(the)i(in)m(ternal)0 4545 y Fq(MINT)30 b Fw(and)g
30977 Fq(VINT)g Fw(v)-5 b(ariables\).)41 b(F)-8 b(urther)29
30978 b(information)d(is)j(stored)h(in)e(the)i(complete)e(ev)m(en)m(t)j
30979 (record;)g(see)0 4653 y(section)i(5.2.)146 4762 y(P)m(art)i(of)f(the)h
30980 (information)d(is)i(only)g(relev)-5 b(an)m(t)34 b(for)g(some)h(subpro)s
30981 (cesses;)j(b)m(y)e(default)d(ev)m(erything)0 4870 y(irrelev)-5
30982 b(an)m(t)30 b(is)g(set)i(to)e(0.)43 b(Kindly)30 b(note)h(that,)g(lik)m
30983 (e)f(the)h Fq(CKIN)h Fw(constrain)m(ts)f(describ)s(ed)h(in)e(section)h
30984 (9.2,)0 4979 y(kinematical)23 b(v)-5 b(ariables)25 b(normally)f(\(i.e.)
30985 40 b(where)28 b(it)d(is)g(not)h(explicitly)e(stated)j(otherwise\))f
30986 (refer)g(to)g(the)0 5087 y(na)-11 b(\177)-38 b(\020v)m(e)33
30987 b(hard)f(scattering,)h(b)s(efore)f(initial-)d(and)j(\014nal-state)g
30988 (radiation)f(e\013ects)i(ha)m(v)m(e)h(b)s(een)g(included.)p
30989 0 5231 2876 9 v 0 5456 9 225 v 79 5371 a Fq(COMMON/PYPARS/MSTP\(200\),)
30990 q(PARP)q(\(200)q(\),MS)q(TI\()q(200\))q(,PAR)q(I\(20)q(0\))p
30991 2867 5456 V 0 5464 2876 9 v 0 5596 a Fo(Purp)s(ose:)48
30992 b Fw(to)24 b(pro)m(vide)h(information)d(on)i(latest)h(ev)m(en)m(t)h
30993 (generated)g(or,)g(in)e(a)g(few)i(cases,)h(on)e(statistics)1817
30994 5953 y(164)p eop
30995 %%Page: 165 171
30996 165 170 bop 472 -18 a Fw(accum)m(ulated)33 b(during)f(the)h(run.)0
30997 90 y Fq(MSTI\(1\))53 b(:)48 b Fw(sp)s(eci\014es)39 b(the)g(general)f(t)
30998 m(yp)s(e)i(of)e(subpro)s(cess)j(that)d(has)h(o)s(ccurred,)i(according)d
30999 (to)g(the)472 198 y(ISUB)c(co)s(de)e(giv)m(en)h(in)f(section)h(8.1.)0
31000 307 y Fq(MSTI\(2\))53 b(:)48 b Fw(whenev)m(er)41 b Fq(MSTI\(1\))f
31001 Fw(\(together)f(with)f Fq(MSTI\(15\))j Fw(and)d Fq(MSTI\(16\))p
31002 Fw(\))j(are)e(not)f(enough)472 415 y(to)g(sp)s(ecify)h(the)f(t)m(yp)s
31003 (e)h(of)f(pro)s(cess)i(uniquely)-8 b(,)39 b Fq(MSTI\(2\))h
31004 Fw(pro)m(vides)f(an)f(ordering)f(of)h(the)472 523 y(di\013eren)m(t)30
31005 b(p)s(ossibilities.)40 b(This)30 b(is)f(particularly)f(relev)-5
31006 b(an)m(t)30 b(for)f(the)h(di\013eren)m(t)g(colour-\015o)m(w)472
31007 632 y(top)s(ologies)24 b(p)s(ossible)h(in)g(QCD)h(2)h
31008 Fn(!)h Fw(2)d(pro)s(cesses.)44 b(With)25 b Fj(i)j Fw(=)p
31009 Fq(MSTI\(15\))p Fw(,)h Fj(j)34 b Fw(=)p Fq(MSTI\(16\))472
31010 740 y Fw(and)45 b Fj(k)50 b Fw(=)p Fq(MSTI\(2\))p Fw(,)f(the)c(QCD)e(p)
31011 s(ossibilities)f(are,)47 b(in)c(the)i(classi\014cation)e(sc)m(heme)i
31012 (of)472 848 y([Ben84)q(])32 b(\(cf.)44 b(section)33 b(8.2.1\):)236
31013 957 y(ISUB)g(=)g(11,)47 b Fj(i)28 b Fw(=)f Fj(j)6 b Fw(,)33
31014 b(q)1102 972 y Fh(i)1130 957 y Fw(q)1181 972 y Fh(i)1238
31015 957 y Fn(!)27 b Fw(q)1416 972 y Fh(i)1445 957 y Fw(q)1496
31016 972 y Fh(i)1524 957 y Fw(;)709 1065 y Fj(k)j Fw(=)e(1)k(:)44
31017 b(colour)31 b(con\014guration)h Fj(A)p Fw(.)709 1173
31018 y Fj(k)e Fw(=)e(2)k(:)44 b(colour)31 b(con\014guration)h
31019 Fj(B)5 b Fw(.)236 1282 y(ISUB)33 b(=)g(11,)47 b Fj(i)28
31020 b Fn(6)p Fw(=)f Fj(j)6 b Fw(,)33 b(q)1102 1297 y Fh(i)1130
31021 1282 y Fw(q)1181 1297 y Fh(j)1246 1282 y Fn(!)27 b Fw(q)1424
31022 1297 y Fh(i)1453 1282 y Fw(q)1504 1297 y Fh(j)1541 1282
31023 y Fw(;)709 1390 y Fj(k)j Fw(=)e(1)k(:)44 b(only)32 b(p)s(ossibilit)m(y)
31024 -8 b(.)236 1498 y(ISUB)33 b(=)g(12,)47 b(q)832 1513 y
31025 Fh(i)p 860 1445 52 4 v 860 1498 a Fw(q)912 1522 y Fh(i)968
31026 1498 y Fn(!)27 b Fw(q)1146 1513 y Fh(l)p 1172 1445 V
31027 1172 1498 a Fw(q)1224 1522 y Fh(l)1250 1498 y Fw(;)709
31028 1607 y Fj(k)j Fw(=)e(1)k(:)44 b(only)32 b(p)s(ossibilit)m(y)-8
31029 b(.)236 1715 y(ISUB)33 b(=)g(13,)47 b(q)832 1730 y Fh(i)p
31030 860 1662 V 860 1715 a Fw(q)912 1739 y Fh(i)968 1715 y
31031 Fn(!)27 b Fw(gg)q(;)709 1823 y Fj(k)j Fw(=)e(1)k(:)44
31032 b(colour)31 b(con\014guration)h Fj(A)p Fw(.)709 1932
31033 y Fj(k)e Fw(=)e(2)k(:)44 b(colour)31 b(con\014guration)h
31034 Fj(B)5 b Fw(.)236 2040 y(ISUB)33 b(=)g(28,)47 b(q)832
31035 2055 y Fh(i)860 2040 y Fw(g)29 b Fn(!)e Fw(q)1116 2055
31036 y Fh(i)1145 2040 y Fw(g)q(;)709 2148 y Fj(k)j Fw(=)e(1)k(:)44
31037 b(colour)31 b(con\014guration)h Fj(A)p Fw(.)709 2257
31038 y Fj(k)e Fw(=)e(2)k(:)44 b(colour)31 b(con\014guration)h
31039 Fj(B)5 b Fw(.)236 2365 y(ISUB)33 b(=)g(53,)47 b(gg)28
31040 b Fn(!)f Fw(q)1085 2380 y Fh(l)p 1112 2312 V 1112 2365
31041 a Fw(q)1163 2389 y Fh(l)1189 2365 y Fw(;)709 2473 y Fj(k)j
31042 Fw(=)e(1)k(:)44 b(colour)31 b(con\014guration)h Fj(A)p
31043 Fw(.)709 2582 y Fj(k)e Fw(=)e(2)k(:)44 b(colour)31 b(con\014guration)h
31044 Fj(B)5 b Fw(.)236 2690 y(ISUB)33 b(=)g(68,)47 b(gg)28
31045 b Fn(!)f Fw(gg)q(;)709 2798 y Fj(k)j Fw(=)e(1)k(:)44
31046 b(colour)31 b(con\014guration)h Fj(A)p Fw(.)709 2907
31047 y Fj(k)e Fw(=)e(2)k(:)44 b(colour)31 b(con\014guration)h
31048 Fj(B)5 b Fw(.)709 3015 y Fj(k)30 b Fw(=)e(3)k(:)44 b(colour)31
31049 b(con\014guration)h Fj(C)7 b Fw(.)236 3123 y(ISUB)33
31050 b(=)g(83,)47 b(fq)32 b Fn(!)f Fw(f)1062 3087 y Fk(0)1085
31051 3123 y Fw(Q)k(\(b)m(y)g Fj(t)p Fw(-c)m(hannel)g(W)i(exc)m(hange;)h(do)s
31052 (es)d(not)g(distinguish)e(colour)h(\015o)m(ws)709 3232
31053 y(but)f(result)f(of)g(user)i(selection\);)709 3340 y
31054 Fj(k)c Fw(=)e(1)k(:)44 b(hea)m(vy)34 b(\015a)m(v)m(our)f(Q)g(is)f(pro)s
31055 (duced)h(on)g(side)f(1.)709 3448 y Fj(k)e Fw(=)e(2)k(:)44
31056 b(hea)m(vy)34 b(\015a)m(v)m(our)f(Q)g(is)f(pro)s(duced)h(on)g(side)f
31057 (2.)0 3557 y Fq(MSTI\(3\))53 b(:)48 b Fw(the)43 b(n)m(um)m(b)s(er)g(of)
31058 f(partons)h(pro)s(duced)h(in)e(the)h(hard)g(in)m(teractions,)h(i.e.)74
31059 b(the)43 b(n)m(um)m(b)s(er)472 3665 y Fj(n)g Fw(of)e(the)i(2)g
31060 Fn(!)h Fj(n)e Fw(matrix)e(elemen)m(ts)j(used;)48 b(it)41
31061 b(is)g(sometimes)g(3)h(or)g(4)g(when)h(a)f(basic)472
31062 3774 y(2)e Fn(!)g Fw(1)f(or)g(2)h Fn(!)g Fw(2)f(pro)s(cess)i(has)f(b)s
31063 (een)h(folded)e(with)g(t)m(w)m(o)h(1)g Fn(!)g Fw(2)f(initial)d(branc)m
31064 (hings)472 3882 y(\(lik)m(e)c(qq)791 3846 y Fk(0)843
31065 3882 y Fn(!)27 b Fw(q)1021 3846 y Fk(00)1064 3882 y Fw(q)1115
31066 3846 y Fk(000)1177 3882 y Fw(H)1250 3846 y Fl(0)1290
31067 3882 y Fw(\).)0 3990 y Fq(MSTI\(4\))53 b(:)48 b Fw(n)m(um)m(b)s(er)28
31068 b(of)f(do)s(cumen)m(tation)g(lines)g(at)g(the)h(b)s(eginning)f(of)g
31069 (the)h(common)e(blo)s(c)m(k)i Fq(LUJETS)472 4099 y Fw(that)33
31070 b(are)f(giv)m(en)h(with)f Fq(K\(I,1\)=21)p Fw(;)j(0)e(for)f
31071 Fq(MSTP\(125\)=0)p Fw(.)0 4207 y Fq(MSTI\(5\))53 b(:)48
31072 b Fw(n)m(um)m(b)s(er)30 b(of)f(ev)m(en)m(ts)j(generated)e(to)g(date)f
31073 (in)g(curren)m(t)i(run.)43 b(In)30 b(runs)g(with)g(the)g(v)-5
31074 b(ariable-)472 4315 y(energy)31 b(option,)f Fq(MSTP\(171\)=1)j
31075 Fw(and)d Fq(MSTP\(172\)=2)p Fw(,)j(only)d(those)g(ev)m(en)m(ts)i(that)e
31076 (surviv)m(e)472 4424 y(\(i.e.)83 b(that)45 b(do)h(not)g(ha)m(v)m(e)h
31077 Fq(MSTI\(61\)=1)p Fw(\))h(are)e(coun)m(ted)h(in)e(this)g(n)m(um)m(b)s
31078 (er.)84 b(That)46 b(is,)472 4532 y Fq(MSTI\(5\))35 b
31079 Fw(ma)m(y)d(b)s(e)h(less)g(than)f(the)h(total)f(n)m(um)m(b)s(er)h(of)39
31080 b Fq(PYEVNT)34 b Fw(calls.)0 4640 y Fq(MSTI\(6\))53 b(:)48
31081 b Fw(curren)m(t)33 b(frame)f(of)g(ev)m(en)m(t,)j(cf.)43
31082 b Fq(MSTP\(124\))p Fw(.)0 4749 y Fq(MSTI\(7\),)53 b(MSTI\(8\))h(:)47
31083 b Fw(line)29 b(n)m(um)m(b)s(er)i(for)f(do)s(cumen)m(tation)f(of)h
31084 (outgoing)f(partons/particles)h(from)472 4857 y(hard)j(scattering)f
31085 (for)g(2)c Fn(!)f Fw(2)32 b(or)h(2)27 b Fn(!)g Fw(1)h
31086 Fn(!)f Fw(2)33 b(pro)s(cesses)h(\(else)f(=)f(0\).)0 4965
31087 y Fq(MSTI\(9\))53 b(:)48 b Fw(ev)m(en)m(t)h(class)f(used)h(in)e(curren)
31088 m(t)i(ev)m(en)m(t)h(for)d Fj(\015)5 b Fw(p)48 b(or)g
31089 Fj(\015)5 b(\015)53 b Fw(ev)m(en)m(ts)d(generated)f(with)e(the)472
31090 5074 y Fq(MSTP\(14\)=10)36 b Fw(option.)236 5182 y Fq(=)52
31091 b(0)f(:)217 b Fw(for)32 b(other)g(pro)s(cesses)j(than)e(the)g(ones)g
31092 (listed)f(ab)s(o)m(v)m(e.)236 5290 y Fq(=)52 b(1)f(:)217
31093 b Fw(VMD)32 b(\(for)g Fj(\015)5 b Fw(p\))33 b(or)f(VMD*VMD)g(\(for)g
31094 Fj(\015)5 b(\015)g Fw(\).)236 5399 y Fq(=)52 b(2)f(:)217
31095 b Fw(direct)32 b(\(for)g Fj(\015)5 b Fw(p\))33 b(or)f(VMD*direct)g
31096 (\(for)g Fj(\015)5 b(\015)g Fw(\).)236 5507 y Fq(=)52
31097 b(3)f(:)217 b Fw(anomalous)31 b(\(for)h Fj(\015)5 b Fw(p\))32
31098 b(or)g(VMD*anomalous)f(\(for)h Fj(\015)5 b(\015)g Fw(\).)236
31099 5615 y Fq(=)52 b(4)f(:)217 b Fw(direct*direct)32 b(\(for)g
31100 Fj(\015)5 b(\015)g Fw(\).)1817 5953 y(165)p eop
31101 %%Page: 166 172
31102 166 171 bop 236 -18 a Fq(=)52 b(5)f(:)217 b Fw(direct*anomalous)30
31103 b(\(for)i Fj(\015)5 b(\015)g Fw(\).)236 90 y Fq(=)52
31104 b(6)f(:)217 b Fw(anomalous*anomalous)29 b(\(for)j Fj(\015)5
31105 b(\015)g Fw(\).)0 198 y Fq(MSTI\(10\))53 b(:)48 b Fw(is)32
31106 b(1)g(if)g(cross)h(section)g(maxim)m(um)d(w)m(as)k(violated)d(in)h
31107 (curren)m(t)h(ev)m(en)m(t,)i(and)e(0)f(if)f(not.)0 307
31108 y Fq(MSTI\(11\))53 b(:)48 b Fw(KF)32 b(\015a)m(v)m(our)h(co)s(de)g(for)
31109 f(b)s(eam)g(\(side)h(1\))f(particle.)0 415 y Fq(MSTI\(12\))53
31110 b(:)48 b Fw(KF)32 b(\015a)m(v)m(our)h(co)s(de)g(for)f(target)h(\(side)f
31111 (2\))g(particle.)0 523 y Fq(MSTI\(13\),)54 b(MSTI\(14\))f(:)48
31112 b Fw(KF)28 b(\015a)m(v)m(our)i(co)s(des)g(for)e(side)h(1)g(and)g(side)g
31113 (2)g(initial-state)c(sho)m(w)m(er)31 b(initia-)472 632
31114 y(tors.)0 740 y Fq(MSTI\(15\),)54 b(MSTI\(16\))f(:)48
31115 b Fw(KF)34 b(\015a)m(v)m(our)i(co)s(des)g(for)f(side)g(1)g(and)h(side)f
31116 (2)g(incoming)e(partons)i(to)g(the)472 848 y(hard)e(in)m(teraction.)0
31117 957 y Fq(MSTI\(17\),)54 b(MSTI\(18\))f(:)48 b Fw(\015ag)38
31118 b(to)h(signal)f(if)g(particle)g(on)h(side)g(1)g(or)g(side)h(2)f(has)g
31119 (b)s(een)h(scattered)472 1065 y(di\013ractiv)m(ely;)32
31120 b(0)g(if)g(no,)g(1)h(if)e(y)m(es.)0 1173 y Fq(MSTI\(21\))53
31121 b(-)f(MSTI\(24\))h(:)48 b Fw(KF)37 b(\015a)m(v)m(our)i(co)s(des)f(for)f
31122 (outgoing)g(partons)h(from)e(the)i(hard)g(in)m(terac-)472
31123 1282 y(tion.)i(The)24 b(n)m(um)m(b)s(er)g(of)f(p)s(ositions)g(actually)
31124 f(used)j(is)e(pro)s(cess-dep)s(enden)m(t,)28 b(see)d
31125 Fq(MSTI\(3\))p Fw(;)472 1390 y(trailing)30 b(p)s(ositions)h(not)i(used)
31126 g(are)g(set)g(=)g(0.)0 1498 y Fq(MSTI\(25\),)54 b(MSTI\(26\))f(:)48
31127 b Fw(KF)e(\015a)m(v)m(our)h(co)s(des)h(of)e(the)i(pro)s(ducts)f(in)f
31128 (the)h(deca)m(y)i(of)d(a)g(single)g Fj(s)p Fw(-)472 1607
31129 y(c)m(hannel)40 b(resonance)g(formed)e(in)g(the)h(hard)g(in)m
31130 (teraction.)61 b(Are)39 b(th)m(us)h(only)e(used)i(when)472
31131 1715 y Fq(MSTI\(3\)=1)35 b Fw(and)e(the)g(resonance)h(is)e(allo)m(w)m
31132 (ed)g(to)g(deca)m(y)-8 b(.)0 1823 y Fq(MSTI\(31\))53
31133 b(:)48 b Fw(n)m(um)m(b)s(er)34 b(of)f(hard)h(or)f(semi-hard)g
31134 (scatterings)h(that)f(o)s(ccurred)i(in)e(the)h(curren)m(t)h(ev)m(en)m
31135 (t)472 1932 y(in)d(the)h(m)m(ultiple-in)m(teraction)c(scenario;)j(is)g
31136 (=)h(0)f(for)g(a)g(lo)m(w-)p Fj(p)2772 1947 y Fk(?)2863
31137 1932 y Fw(ev)m(en)m(t.)0 2040 y Fq(MSTI\(41\))53 b(:)48
31138 b Fw(the)35 b(n)m(um)m(b)s(er)g(of)g(pile-up)e(ev)m(en)m(ts)k
31139 (generated)f(in)e(the)i(latest)e Fq(PYEVNT)i Fw(call)d(\(including)472
31140 2148 y(the)g(\014rst,)h(`hard')e(ev)m(en)m(t\).)0 2257
31141 y Fq(MSTI\(42\))53 b(-)f(MSTI\(50\))h(:)48 b Fw(ISUB)30
31142 b(co)s(des)g(for)f(the)h(ev)m(en)m(ts)i(2{10)d(generated)h(in)f(the)h
31143 (pile-up-ev)m(en)m(ts)472 2365 y(scenario.)81 b(The)46
31144 b(\014rst)g(ev)m(en)m(t)h(ISUB)e(co)s(de)h(is)e(stored)i(in)e
31145 Fq(MSTI\(1\))p Fw(.)83 b(If)52 b Fq(MSTI\(41\))47 b Fw(is)472
31146 2473 y(less)38 b(than)f(10,)h(only)f(as)h(man)m(y)f(p)s(ositions)f(are)
31147 h(\014lled)f(as)i(there)g(are)f(pile-up)f(ev)m(en)m(ts.)60
31148 b(If)472 2582 y(MSTI\(41\))34 b(is)e(ab)s(o)m(v)m(e)h(10,)f(some)h
31149 (ISUB)g(co)s(des)g(will)d(not)j(app)s(ear)f(an)m(ywhere.)0
31150 2690 y Fq(MSTI\(51\))53 b(:)48 b Fw(normally)33 b(0)i(but)h(set)h(to)e
31151 (1)g(if)g(a)g Fq(PYUPEV)i Fw(call)d(did)h(not)h(return)g(an)f(ev)m(en)m
31152 (t,)k(suc)m(h)e(that)472 2798 y Fq(PYEVNT)30 b Fw(could)d(not)h
31153 (generate)g(an)g(ev)m(en)m(t.)44 b(F)-8 b(or)27 b(further)h(details,)g
31154 (see)h(end)f(of)g(section)g(9.5.)0 2907 y Fq(MSTI\(52\))53
31155 b(:)48 b Fw(coun)m(ter)30 b(for)f(the)g(n)m(um)m(b)s(er)h(of)f(times)f
31156 (the)h(curren)m(t)i(ev)m(en)m(t)g(con\014guration)d(failed)g(in)g(the)
31157 472 3015 y(generation)39 b(mac)m(hinery)-8 b(.)62 b(F)-8
31158 b(or)38 b(accepted)j(ev)m(en)m(ts)g(this)e(is)f(alw)m(a)m(ys)i(0,)g
31159 (but)f(the)g(coun)m(ter)472 3123 y(can)k(b)s(e)f(used)h(inside)f
31160 Fq(PYUPEV)h Fw(to)f(c)m(hec)m(k)j(on)d(anomalous)e(o)s(ccurrences.)74
31161 b(F)-8 b(or)41 b(further)472 3232 y(details,)32 b(see)i(end)f(of)f
31162 (section)h(9.5.)0 3340 y Fq(MSTI\(61\))53 b(:)48 b Fw(status)31
31163 b(\015ag)e(set)i(when)g(ev)m(en)m(ts)h(are)e(generated.)43
31164 b(It)30 b(is)g(only)f(of)g(in)m(terest)i(for)e(runs)i(with)472
31165 3448 y(v)-5 b(ariable)31 b(energies,)i Fq(MSTP\(171\)=1)p
31166 Fw(,)j(with)c(the)h(option)f Fq(MSTP\(172\)=2)p Fw(.)236
31167 3557 y Fq(=)52 b(0)f(:)217 b Fw(an)32 b(ev)m(en)m(t)j(has)e(b)s(een)g
31168 (generated.)236 3665 y Fq(=)52 b(1)f(:)217 b Fw(no)36
31169 b(ev)m(en)m(t)j(w)m(as)e(generated,)i(either)e(b)s(ecause)h(the)f(c.m.)
31170 55 b(energy)38 b(w)m(as)g(to)s(o)e(lo)m(w)g(or)709 3774
31171 y(b)s(ecause)c(the)f(Mon)m(te)h(Carlo)e(phase)i(space)g(p)s(oin)m(t)e
31172 (selection)g(mac)m(hinery)h(rejected)709 3882 y(the)i(trial)d(p)s(oin)m
31173 (t.)43 b(A)32 b(new)i(energy)f(is)g(to)f(b)s(e)h(pic)m(k)m(ed)g(b)m(y)h
31174 (the)f(user.)0 4044 y Fq(PARI\(1\))53 b(:)48 b Fw(total)e(in)m
31175 (tegrated)h(cross)i(section)e(for)g(the)i(pro)s(cesses)g(under)g(study)
31176 -8 b(,)52 b(in)47 b(m)m(b.)88 b(This)472 4153 y(n)m(um)m(b)s(er)26
31177 b(is)e(obtained)h(as)g(a)g(b)m(y-pro)s(duct)g(of)g(the)g(selection)g
31178 (of)g(hard-pro)s(cess)g(kinematics,)472 4261 y(and)f(is)f(th)m(us)i
31179 (kno)m(wn)f(with)g(b)s(etter)f(accuracy)i(when)g(more)e(ev)m(en)m(ts)i
31180 (ha)m(v)m(e)g(b)s(een)g(generated.)472 4369 y(The)34
31181 b(v)-5 b(alue)32 b(stored)h(here)h(is)e(based)h(on)g(all)d(ev)m(en)m
31182 (ts)35 b(un)m(til)c(the)i(latest)f(one)h(generated.)0
31183 4478 y Fq(PARI\(2\))53 b(:)48 b Fw(is)34 b(the)i(ratio)d
31184 Fq(PARI\(1\)/MSTI\(5\))p Fw(,)40 b(i.e.)51 b(the)35 b(ratio)f(of)h
31185 (total)e(in)m(tegrated)i(cross)h(section)472 4586 y(and)46
31186 b(n)m(um)m(b)s(er)h(of)e(ev)m(en)m(ts)j(generated.)84
31187 b(Histograms)45 b(\014lled)g(with)g(unit)g(ev)m(en)m(t)j(w)m(eigh)m(t)
31188 472 4694 y(ha)m(v)m(e)f(to)f(b)s(e)f(m)m(ultiplied)e(b)m(y)j(this)f
31189 (factor,)k(at)c(the)h(end)g(of)f(the)h(run,)j(to)d(con)m(v)m(ert)h(re-)
31190 472 4803 y(sults)36 b(to)g(m)m(b.)52 b(F)-8 b(or)35 b
31191 Fq(MSTP\(142\)=1)p Fw(,)40 b Fq(MSTI\(5\))d Fw(is)f(replaced)g(b)m(y)g
31192 (the)h(sum)e(of)42 b Fq(PARI\(10\))472 4911 y Fw(v)-5
31193 b(alues.)64 b(Histograms)37 b(are)i(then)h(\014lled)e(with)h(w)m(eigh)m
31194 (t)h Fq(PARI\(10\))h Fw(for)d(eac)m(h)i(ev)m(en)m(t)h(and)472
31195 5019 y(m)m(ultiplied)d(b)m(y)k Fq(PARI\(2\))g Fw(at)e(the)h(end.)68
31196 b(In)40 b(runs)h(with)f(the)h(v)-5 b(ariable-energy)39
31197 b(option,)472 5128 y Fq(MSTP\(171\)=1)i Fw(and)d Fq(MSTP\(172\)=2)p
31198 Fw(,)43 b(only)37 b(those)i(ev)m(en)m(ts)h(that)e(surviv)m(e)h(\(i.e.)
31199 60 b(that)38 b(do)472 5236 y(not)33 b(ha)m(v)m(e)h Fq(MSTI\(61\)=1)p
31200 Fw(\))h(are)d(coun)m(ted.)45 b(calls.)0 5344 y Fq(PARI\(9\))53
31201 b(:)48 b Fw(is)36 b(w)m(eigh)m(t)h Fq(WTXS)h Fw(returned)g(from)e
31202 Fq(PYEVWT)i Fw(call)e(when)i Fq(MSTP\(142\))p Fn(\025)g
31203 Fw(1,)f(otherwise)h(is)472 5453 y(1.)0 5561 y Fq(PARI\(10\))53
31204 b(:)48 b Fw(is)37 b(comp)s(ensating)g(w)m(eigh)m(t)h
31205 Fq(1./WTXS)h Fw(that)e(should)h(b)s(e)g(asso)s(ciated)f(to)g(ev)m(en)m
31206 (ts)j(when)1817 5953 y(166)p eop
31207 %%Page: 167 173
31208 167 172 bop 472 -18 a Fq(MSTP\(142\)=1)p Fw(,)36 b(else)d(is)f(1.)0
31209 90 y Fq(PARI\(11\))53 b(:)48 b Fj(E)632 105 y Fl(cm)726
31210 90 y Fw(,)33 b(i.e.)43 b(total)31 b(c.m.)43 b(energy)-8
31211 b(.)0 198 y Fq(PARI\(12\))53 b(:)48 b Fj(s)p Fw(,)32
31212 b(i.e.)43 b(squared)34 b(total)d(c.m.)44 b(energy)-8
31213 b(.)0 318 y Fq(PARI\(13\))53 b(:)66 b Fw(^)-67 b Fj(m)28
31214 b Fw(=)776 234 y Fn(p)p 859 234 46 4 v 863 318 a Fw(^)-53
31215 b Fj(s)p Fw(,)33 b(i.e.)43 b(mass)33 b(of)f(the)h(hard-scattering)f
31216 (subsystem.)0 427 y Fq(PARI\(14\))53 b(:)f Fw(^)-53 b
31217 Fj(s)32 b Fw(of)g(the)h(hard)g(subpro)s(cess)i(\(2)27
31218 b Fn(!)g Fw(2)33 b(or)f(2)27 b Fn(!)h Fw(1\).)0 547 y
31219 Fq(PARI\(15\))53 b(:)561 529 y Fw(^)560 547 y Fj(t)33
31220 b Fw(of)f(the)h(hard)f(subpro)s(cess)j(\(2)27 b Fn(!)h
31221 Fw(2)k(or)g(2)c Fn(!)f Fw(1)g Fn(!)h Fw(2\).)0 656 y
31222 Fq(PARI\(16\))53 b(:)h Fw(^)-55 b Fj(u)32 b Fw(of)g(the)h(hard)g
31223 (subpro)s(cess)h(\(2)28 b Fn(!)f Fw(2)32 b(or)h(2)27
31224 b Fn(!)g Fw(1)h Fn(!)f Fw(2\).)0 764 y Fq(PARI\(17\))53
31225 b(:)j Fw(^)-57 b Fj(p)609 779 y Fk(?)695 764 y Fw(of)27
31226 b(the)h(hard)g(subpro)s(cess)h(\(2)f Fn(!)f Fw(2)g(or)h(2)f
31227 Fn(!)g Fw(1)h Fn(!)f Fw(2\),)h(ev)-5 b(aluated)28 b(in)e(the)i(rest)g
31228 (frame)472 872 y(of)33 b(the)g(hard)f(in)m(teraction.)0
31229 981 y Fq(PARI\(18\))53 b(:)j Fw(^)-57 b Fj(p)609 945
31230 y Fl(2)609 1005 y Fk(?)700 981 y Fw(of)33 b(the)g(hard)f(subpro)s
31231 (cess;)j(see)f Fq(PARI\(17\))p Fw(.)0 1089 y Fq(PARI\(19\))53
31232 b(:)66 b Fw(^)-67 b Fj(m)645 1053 y Fk(0)669 1089 y Fw(,)44
31233 b(the)f(mass)f(of)g(the)g(complete)g(three-)g(or)g(four-b)s(o)s(dy)g
31234 (\014nal)f(state)i(in)e(2)j Fn(!)g Fw(3)e(or)472 1198
31235 y(2)28 b Fn(!)f Fw(4)32 b(pro)s(cesses)i(\(while)49 b(^)-67
31236 b Fj(m)p Fw(,)32 b(giv)m(en)h(in)e Fq(PARI\(13\))p Fw(,)j(here)f
31237 (corresp)s(onds)g(to)f(the)g(one-)g(or)472 1306 y(t)m(w)m(o-b)s(o)s(dy)
31238 h(cen)m(tral)g(system\).)44 b(Kinematically)j(^)-67 b
31239 Fj(m)28 b Fn(\024)47 b Fw(^)-68 b Fj(m)2554 1270 y Fk(0)2606
31240 1306 y Fn(\024)28 b Fj(E)2783 1321 y Fl(cm)2877 1306
31241 y Fw(.)0 1414 y Fq(PARI\(20\))53 b(:)f Fw(^)-53 b Fj(s)606
31242 1378 y Fk(0)657 1414 y Fw(=)46 b(^)-68 b Fj(m)845 1378
31243 y Fk(0)p Fl(2)904 1414 y Fw(;)33 b(see)h Fq(PARI\(19\))p
31244 Fw(.)0 1523 y Fq(PARI\(21\))53 b(:)48 b Fj(Q)60 b Fw(of)f(the)h
31245 (hard-scattering)f(subpro)s(cess.)127 b(The)61 b(exact)g(de\014nition)d
31246 (is)i(pro)s(cess-)472 1631 y(dep)s(enden)m(t,)35 b(see)f
31247 Fq(MSTP\(32\))p Fw(.)0 1739 y Fq(PARI\(22\))53 b(:)48
31248 b Fj(Q)637 1703 y Fl(2)709 1739 y Fw(of)32 b(the)h(hard-scattering)f
31249 (subpro)s(cess;)j(see)f Fq(PARI\(21\))p Fw(.)0 1848 y
31250 Fq(PARI\(23\))53 b(:)48 b Fj(Q)24 b Fw(of)f(the)h(outer)g
31251 (hard-scattering)f(subpro)s(cess.)43 b(Agrees)24 b(with)g
31252 Fq(PARI\(21\))h Fw(for)f(a)f(2)k Fn(!)h Fw(1)472 1956
31253 y(or)35 b(2)d Fn(!)f Fw(2)k(pro)s(cess.)52 b(F)-8 b(or)34
31254 b(a)h(2)c Fn(!)h Fw(3)i(or)h(2)d Fn(!)f Fw(4)k(W)q Fj(=)p
31255 Fw(Z)g(fusion)f(pro)s(cess,)j(it)d(is)g(set)i(b)m(y)g(the)472
31256 2064 y(W)q Fj(=)p Fw(Z)d(mass)f(scale,)h(and)g(for)f(subpro)s(cesses)j
31257 (121)d(and)h(122)f(b)m(y)h(the)g(hea)m(vy-quark)i(mass.)0
31258 2173 y Fq(PARI\(24\))53 b(:)48 b Fj(Q)637 2136 y Fl(2)709
31259 2173 y Fw(of)32 b(the)h(outer)g(hard-scattering)f(subpro)s(cess;)j(see)
31260 e Fq(PARI\(23\))p Fw(.)0 2281 y Fq(PARI\(25\))53 b(:)48
31261 b Fj(Q)24 b Fw(scale)g(used)h(as)f(maxim)m(um)e(virtualit)m(y)g(in)i
31262 (parton)f(sho)m(w)m(ers.)43 b(Is)25 b(equal)f(to)f Fq(PARI\(23\))p
31263 Fw(,)472 2389 y(except)35 b(for)d(deep-inelastic-scattering)f(pro)s
31264 (cesses)j(when)g Fq(MSTP\(22\))p Fn(\025)c Fw(1.)0 2498
31265 y Fq(PARI\(26\))53 b(:)48 b Fj(Q)637 2461 y Fl(2)709
31266 2498 y Fw(scale)33 b(in)f(parton)g(sho)m(w)m(ers;)j(see)e
31267 Fq(PARI\(25\))p Fw(.)0 2606 y Fq(PARI\(31\),)54 b(PARI\(32\))f(:)48
31268 b Fw(the)28 b(momen)m(tum)f(fractions)g Fj(x)i Fw(of)e(the)i
31269 (initial-state)24 b(parton-sho)m(w)m(er)30 b(ini-)472
31270 2714 y(tiators)i(on)g(side)h(1)f(and)h(2,)f(resp)s(ectiv)m(ely)-8
31271 b(.)0 2823 y Fq(PARI\(33\),)54 b(PARI\(34\))f(:)48 b
31272 Fw(the)e(momen)m(tum)f(fractions)g Fj(x)i Fw(tak)m(en)g(b)m(y)g(the)g
31273 (partons)f(at)g(the)g(hard)472 2931 y(in)m(teraction,)32
31274 b(as)h(used)h(e.g.)43 b(in)32 b(the)h(parton-distribution)d(functions.)
31275 0 3039 y Fq(PARI\(35\))53 b(:)48 b Fw(F)-8 b(eynman-)p
31276 Fj(x)p Fw(,)32 b Fj(x)1151 3054 y Fl(F)1230 3039 y Fw(=)27
31277 b Fj(x)1388 3054 y Fl(1)1450 3039 y Fn(\000)c Fj(x)1605
31278 3054 y Fl(2)1672 3039 y Fw(=)p Fq(PARI\(33\))p Fn(\000)p
31279 Fq(PARI\(34\))p Fw(.)0 3148 y Fq(PARI\(36\))53 b(:)48
31280 b Fj(\034)39 b Fw(=)32 b(^)-53 b Fj(s=s)27 b Fw(=)h Fj(x)1072
31281 3163 y Fl(1)1128 3148 y Fj(x)1183 3163 y Fl(2)1251 3148
31282 y Fw(=)p Fq(PARI\(33\))p Fn(\002)p Fq(PARI\(34\))p Fw(.)0
31283 3256 y Fq(PARI\(37\))53 b(:)48 b Fj(y)42 b Fw(=)d(\(1)p
31284 Fj(=)p Fw(2\))17 b(ln)n(\()p Fj(x)1178 3271 y Fl(1)1218
31285 3256 y Fj(=x)1322 3271 y Fl(2)1361 3256 y Fw(\),)41 b(i.e.)63
31286 b(rapidit)m(y)38 b(of)g(the)i(hard-in)m(teraction)e(subsystem)j(in)d
31287 (the)472 3364 y(c.m.)44 b(frame)31 b(of)h(the)h(ev)m(en)m(t)i(as)e(a)f
31288 (whole.)0 3473 y Fq(PARI\(38\))53 b(:)48 b Fj(\034)613
31289 3437 y Fk(0)664 3473 y Fw(=)32 b(^)-53 b Fj(s)814 3437
31290 y Fk(0)837 3473 y Fj(=s)28 b Fw(=)p Fq(PARI\(20\)/PARI\(12\))p
31291 Fw(.)0 3581 y Fq(PARI\(39\),)54 b(PARI\(40\))f(:)48 b
31292 Fw(the)33 b(primordial)28 b Fj(k)1768 3596 y Fk(?)1860
31293 3581 y Fw(v)-5 b(alues)32 b(selected)i(in)e(the)h(t)m(w)m(o)g(b)s(eam)f
31294 (remnan)m(ts.)0 3704 y Fq(PARI\(41\))53 b(:)48 b Fw(cos)715
31295 3678 y(^)707 3704 y Fj(\022)s Fw(,)32 b(where)1102 3678
31296 y(^)1094 3704 y Fj(\022)j Fw(is)c(the)g(scattering)g(angle)g(of)f(a)h
31297 (2)d Fn(!)f Fw(2)k(\(or)g(2)d Fn(!)f Fw(1)g Fn(!)h Fw(2\))i(in)m
31298 (teraction,)472 3813 y(de\014ned)k(in)e(the)h(rest)g(frame)f(of)g(the)h
31299 (hard-scattering)f(subsystem.)0 3921 y Fq(PARI\(42\))53
31300 b(:)48 b Fj(x)615 3936 y Fk(?)674 3921 y Fw(,)26 b(i.e.)40
31301 b(scaled)23 b(transv)m(erse)j(momen)m(tum)c(of)h(the)g(hard-scattering)
31302 g(subpro)s(cess,)28 b Fj(x)3617 3936 y Fk(?)3704 3921
31303 y Fw(=)472 4029 y(2)8 b(^)-57 b Fj(p)570 4044 y Fk(?)629
31304 4029 y Fj(=E)750 4044 y Fl(cm)845 4029 y Fw(.)0 4138
31305 y Fq(PARI\(43\),)54 b(PARI\(44\))f(:)48 b Fj(x)1128 4153
31306 y Fh(L)p Fl(3)1256 4138 y Fw(and)40 b Fj(x)1508 4153
31307 y Fh(L)p Fl(4)1596 4138 y Fw(,)i(i.e.)67 b(longitudinal)37
31308 b(momen)m(tum)h(fractions)i(of)g(the)h(t)m(w)m(o)472
31309 4246 y(scattered)d(partons,)g(in)d(the)i(range)f Fn(\000)p
31310 Fw(1)e Fj(<)g(x)2162 4261 y Fl(L)2245 4246 y Fj(<)g Fw(1,)j(in)f(the)g
31311 (c.m.)55 b(frame)35 b(of)h(the)h(ev)m(en)m(t)472 4354
31312 y(as)c(a)g(whole.)0 4463 y Fq(PARI\(45\),)54 b(PARI\(46\))f(:)48
31313 b Fj(x)1128 4478 y Fl(3)1201 4463 y Fw(and)34 b Fj(x)1447
31314 4478 y Fl(4)1487 4463 y Fw(,)g(i.e.)46 b(scaled)34 b(energy)h
31315 (fractions)e(of)g(the)h(t)m(w)m(o)g(scattered)h(par-)472
31316 4571 y(tons,)e(in)f(the)h(c.m.)43 b(frame)32 b(of)g(the)h(ev)m(en)m(t)i
31317 (as)d(a)h(whole.)0 4679 y Fq(PARI\(47\),)54 b(PARI\(48\))f(:)48
31318 b Fj(y)1125 4643 y Fk(\003)1121 4704 y Fl(3)1191 4679
31319 y Fw(and)29 b Fj(y)1429 4643 y Fk(\003)1425 4704 y Fl(4)1467
31320 4679 y Fw(,)h(i.e.)41 b(rapidities)27 b(of)g(the)i(t)m(w)m(o)g
31321 (scattered)h(partons)e(in)g(the)h(c.m.)472 4788 y(frame)j(of)g(the)h
31322 (ev)m(en)m(t)i(as)d(a)h(whole.)0 4896 y Fq(PARI\(49\),)54
31323 b(PARI\(50\))f(:)48 b Fj(\021)1125 4860 y Fk(\003)1121
31324 4921 y Fl(3)1199 4896 y Fw(and)36 b Fj(\021)1444 4860
31325 y Fk(\003)1440 4921 y Fl(4)1483 4896 y Fw(,)h(i.e.)52
31326 b(pseudorapidities)35 b(of)g(the)h(t)m(w)m(o)g(scattered)h(partons)f
31327 (in)472 5004 y(the)d(c.m.)44 b(frame)31 b(of)h(the)h(ev)m(en)m(t)i(as)e
31328 (a)f(whole.)0 5113 y Fq(PARI\(51\),)54 b(PARI\(52\))f(:)48
31329 b Fw(cos)17 b Fj(\022)1268 5077 y Fk(\003)1265 5137 y
31330 Fl(3)1355 5113 y Fw(and)49 b(cos)17 b Fj(\022)1756 5077
31331 y Fk(\003)1753 5137 y Fl(4)1796 5113 y Fw(,)52 b(i.e.)89
31332 b(cosines)49 b(of)f(the)g(p)s(olar)f(angles)h(of)f(the)i(t)m(w)m(o)472
31333 5221 y(scattered)34 b(partons)f(in)f(the)h(c.m.)43 b(frame)32
31334 b(of)g(the)h(ev)m(en)m(t)h(as)f(a)f(whole.)0 5329 y Fq(PARI\(53\),)54
31335 b(PARI\(54\))f(:)48 b Fj(\022)1121 5293 y Fk(\003)1118
31336 5354 y Fl(3)1190 5329 y Fw(and)30 b Fj(\022)1425 5293
31337 y Fk(\003)1422 5354 y Fl(4)1464 5329 y Fw(,)h(i.e.)42
31338 b(p)s(olar)28 b(angles)h(of)h(the)g(t)m(w)m(o)g(scattered)h(partons,)g
31339 (de\014ned)472 5438 y(in)h(the)h(range)g(0)27 b Fj(<)h(\022)1248
31340 5402 y Fk(\003)1315 5438 y Fj(<)g(\031)t Fw(,)k(in)g(the)h(c.m.)43
31341 b(frame)32 b(of)g(the)h(ev)m(en)m(t)h(as)f(a)f(whole.)0
31342 5546 y Fq(PARI\(55\),)54 b(PARI\(56\))f(:)48 b Fw(azim)m(uthal)25
31343 b(angles)i Fj(\036)1866 5510 y Fk(\003)1866 5571 y Fl(3)1932
31344 5546 y Fw(and)g Fj(\036)2174 5510 y Fk(\003)2174 5571
31345 y Fl(4)2241 5546 y Fw(of)f(the)i(t)m(w)m(o)g(scattered)g(partons,)h
31346 (de\014ned)472 5654 y(in)j(the)h(range)g Fn(\000)p Fj(\031)f(<)27
31347 b(\036)1345 5618 y Fk(\003)1412 5654 y Fj(<)h(\031)t
31348 Fw(,)k(in)g(the)h(c.m.)43 b(frame)32 b(of)g(the)h(ev)m(en)m(t)i(as)d(a)
31349 h(whole.)1817 5953 y(167)p eop
31350 %%Page: 168 174
31351 168 173 bop 0 -18 a Fq(PARI\(61\))53 b(:)48 b Fw(m)m(ultiple)42
31352 b(in)m(teraction)i(enhancemen)m(t)i(factor)e(for)g(curren)m(t)i(ev)m
31353 (en)m(t.)82 b(A)44 b(large)g(v)-5 b(alue)472 90 y(corresp)s(onds)34
31354 b(to)f(a)f(cen)m(tral)g(collision)e(and)i(a)h(small)d(v)-5
31355 b(alue)32 b(to)g(a)h(p)s(eripheral)e(one.)0 198 y Fq(PARI\(65\))53
31356 b(:)48 b Fw(sum)31 b(of)f(the)h(transv)m(erse)i(momen)m(ta)d(of)h
31357 (partons)g(generated)g(at)g(the)g(hardest)h(in)m(terac-)472
31358 307 y(tion)d(of)g(the)g(ev)m(en)m(t,)j(excluding)d(initial-)c(and)30
31359 b(\014nal-state)e(radiation,)g(i.e.)42 b(2)p Fn(\002)p
31360 Fq(PARI\(17\))p Fw(.)0 415 y Fq(PARI\(66\))53 b(:)48
31361 b Fw(sum)27 b(of)g(the)h(transv)m(erse)i(momen)m(ta)c(of)h(all)e
31362 (partons)j(generated)g(at)f(the)h(hardest)g(in)m(ter-)472
31363 523 y(action,)39 b(including)d(initial-)e(and)k(\014nal-state)f
31364 (radiation,)g(resonance)i(deca)m(y)h(pro)s(ducts,)472
31365 632 y(and)33 b(primordial)c Fj(k)1190 647 y Fk(?)1249
31366 632 y Fw(.)0 740 y Fq(PARI\(67\))53 b(:)48 b Fw(sum)22
31367 b(of)g(transv)m(erse)i(momen)m(ta)d(of)g(partons)i(generated)g(at)f
31368 (hard)g(in)m(teractions,)h(exclud-)472 848 y(ing)32 b(the)h(hardest)g
31369 (one)g(\(see)g Fq(PARI\(65\))p Fw(\),)i(and)d(also)g(excluding)g
31370 (initial-)c(and)k(\014nal-state)472 957 y(radiation.)42
31371 b(Is)33 b(non-v)-5 b(anishing)31 b(only)h(in)g(the)h(m)m(ultiple-in)m
31372 (teraction)28 b(scenario.)0 1065 y Fq(PARI\(68\))53 b(:)48
31373 b Fw(sum)42 b(of)h(transv)m(erse)h(momen)m(ta)e(of)g(all)f(partons)i
31374 (generated)g(at)f(hard)h(in)m(teractions,)472 1173 y(excluding)27
31375 b(the)g(hardest)h(one)f(\(see)h Fq(PARI\(66\))p Fw(\),)i(but)e
31376 (including)d(initial-)d(and)27 b(\014nal-state)472 1282
31377 y(radiation.)42 b(Is)33 b(non-v)-5 b(anishing)31 b(only)h(in)g(the)h(m)
31378 m(ultiple-in)m(teraction)28 b(scenario.)0 1390 y Fq(PARI\(69\))53
31379 b(:)48 b Fw(sum)e(of)f(transv)m(erse)j(momen)m(ta)d(of)g(all)f(partons)
31380 i(generated)h(in)e(hard)h(in)m(teractions)472 1498 y(\()p
31381 Fq(PARI\(66\))54 b(+)d(PARI\(68\))p Fw(\))35 b(and,)e(additionally)-8
31382 b(,)29 b(of)j(all)e(b)s(eam)i(remnan)m(t)h(partons.)0
31383 1607 y Fq(PARI\(71\),)54 b(PARI\(72\))f(:)48 b Fw(sum)31
31384 b(of)f(the)i(momen)m(tum)d(fractions)i Fj(x)g Fw(tak)m(en)h(b)m(y)g
31385 (initial-state)27 b(parton-)472 1715 y(sho)m(w)m(er)49
31386 b(initiators)44 b(on)j(side)f(1)h(and)g(and)f(side)h(2,)j(excluding)d
31387 (those)g(of)f(the)i(hardest)472 1823 y(in)m(teraction.)43
31388 b(Is)33 b(non-v)-5 b(anishing)31 b(only)h(in)g(the)h(m)m(ultiple-in)m
31389 (teraction)28 b(scenario.)0 1932 y Fq(PARI\(73\),)54
31390 b(PARI\(74\))f(:)48 b Fw(sum)36 b(of)g(the)i(momen)m(tum)d(fractions)h
31391 Fj(x)h Fw(tak)m(en)h(b)m(y)f(the)h(partons)f(at)f(the)472
31392 2040 y(hard)24 b(in)m(teraction)e(on)h(side)g(1)g(and)g(side)h(2,)g
31393 (excluding)f(those)h(of)f(the)g(hardest)h(in)m(teraction.)472
31394 2148 y(Is)34 b(non-v)-5 b(anishing)31 b(only)h(in)g(the)h(m)m
31395 (ultiple-in)m(teraction)28 b(scenario.)0 2257 y Fq(PARI\(75\),)54
31396 b(PARI\(76\))f(:)48 b Fw(the)30 b Fj(x)h Fw(v)-5 b(alue)30
31397 b(of)f(a)h(photon)h(that)f(branc)m(hes)i(in)m(to)d(quarks)j(or)e
31398 (gluons,)g(i.e.)472 2365 y Fj(x)j Fw(at)g(in)m(terface)f(b)s(et)m(w)m
31399 (een)j(initial-state)29 b(QED)j(and)h(QCD)f(cascades.)0
31400 2473 y Fq(PARI\(77\),)54 b(PARI\(78\))f(:)48 b Fw(the)34
31401 b Fj(\037)f Fw(v)-5 b(alues)34 b(selected)h(for)e(b)s(eam)g(remnan)m
31402 (ts)h(that)g(are)f(split)g(in)m(to)g(t)m(w)m(o)472 2582
31403 y(ob)5 b(jects,)34 b(describing)d(ho)m(w)i(the)f(energy)h(is)f(shared)h
31404 (\(see)g Fq(MSTP\(92\))h Fw(and)e Fq(MSTP\(94\))p Fw(\);)i(is)472
31405 2690 y(v)-5 b(anishing)32 b(if)f(no)i(splitting)d(is)i(needed.)0
31406 2798 y Fq(PARI\(81\))53 b(:)48 b Fw(size)30 b(of)f(the)i(threshold)f
31407 (factor)f(\(enhancemen)m(t)i(or)f(suppression\))h(in)e(the)h(latest)g
31408 (ev)m(en)m(t)472 2907 y(with)j(hea)m(vy-\015a)m(v)m(our)h(pro)s
31409 (duction;)e(see)i Fq(MSTP\(35\))p Fw(.)0 3015 y Fq(PARI\(91\))53
31410 b(:)48 b Fw(a)m(v)m(erage)40 b(m)m(ultiplicit)m(y)p 1446
31411 2962 59 4 v 36 w Fj(n)f Fw(of)g(pile-up)f(ev)m(en)m(ts,)43
31412 b(see)d Fq(MSTP\(133\))p Fw(.)66 b(Only)39 b(relev)-5
31413 b(an)m(t)39 b(for)472 3123 y Fq(MSTP\(133\)=)d Fw(1)c(or)g(2.)0
31414 3232 y Fq(PARI\(92\))53 b(:)48 b Fw(a)m(v)m(erage)c(m)m(ultiplicit)m(y)
31415 39 b Fn(h)p Fj(n)p Fn(i)k Fw(of)g(pile-up)e(ev)m(en)m(ts)46
31416 b(as)d(actually)f(sim)m(ulated,)i(i.e.)75 b(with)472
31417 3340 y(m)m(ultiplicit)m(y)22 b(=)i(0)h(ev)m(en)m(ts)i(remo)m(v)m(ed)e
31418 (and)g(the)h(high-end)e(tail)e(truncated.)42 b(Only)25
31419 b(relev)-5 b(an)m(t)472 3448 y(for)32 b Fq(MSTP\(133\)=)k
31420 Fw(1)c(or)g(2.)0 3557 y Fq(PARI\(93\))53 b(:)48 b Fw(for)22
31421 b Fq(MSTP\(133\)=1)j Fw(it)c(is)h(the)g(probabilit)m(y)f(that)h(a)g(b)s
31422 (eam)f(crossing)h(will)e(pro)s(duce)j(a)f(pile-)472 3665
31423 y(up)33 b(ev)m(en)m(t)h(at)d(all,)f(i.e.)43 b(that)32
31424 b(there)g(will)e(b)s(e)i(at)g(least)f(one)i(hadron{hadron)e(in)m
31425 (teraction;)472 3774 y(for)36 b Fq(MSTP\(133\)=2)j Fw(the)e(probabilit)
31426 m(y)d(that)i(a)g(b)s(eam)g(crossing)g(will)e(pro)s(duce)j(a)f(pile-up)
31427 472 3882 y(ev)m(en)m(t)f(with)d(one)h(hadron{hadron)f(in)m(teraction)g
31428 (of)g(the)h(desired)g(rare)g(t)m(yp)s(e.)0 4156 y Fp(9.5)135
31429 b(Ho)l(w)46 b(to)f(include)g(external)h(pro)t(cesses)g(in)f(PYTHIA)0
31430 4328 y Fw(Despite)f(a)f(large)g(rep)s(ertory)h(of)g(pro)s(cesses)i(in)d
31431 Fm(Pythia)p Fw(,)k(the)d(n)m(um)m(b)s(er)g(of)g(missing)e(ones)i
31432 (clearly)0 4437 y(is)g(ev)m(en)i(larger,)f(and)g(with)f(time)e(this)i
31433 (discrepancy)i(is)d(lik)m(ely)g(to)h(increase.)79 b(There)46
31434 b(are)e(sev)m(eral)0 4545 y(reasons)30 b(wh)m(y)h(it)e(is)g(not)g
31435 (practicable)g(to)g(imagine)e(a)j Fm(Pythia)f Fw(whic)m(h)h(has)g(`ev)m
31436 (erything'.)44 b(One)30 b(is)f(the)0 4653 y(amoun)m(t)j(of)h(time)e(it)
31437 h(tak)m(es)i(to)e(implemen)m(t)f(a)i(pro)s(cess)h(for)e(the)h(single)f
31438 Fm(Pythia)h Fw(author,)g(compared)0 4762 y(with)k(the)g(rate)g(of)g
31439 (new)h(cross)g(section)f(results)h(pro)s(duced)g(b)m(y)g(the)f(rather)h
31440 (larger)e(matrix-elemen)m(t)0 4870 y(calculations)46
31441 b(comm)m(unit)m(y)-8 b(.)88 b(Another)48 b(is)f(the)h(length)f(of)h
31442 (curren)m(tly)g(pro)s(duced)h(matrix-elemen)m(t)0 4979
31443 y(expressions,)27 b(whic)m(h)e(w)m(ould)e(mak)m(e)h(the)g(program)e(v)m
31444 (ery)k(bulky)-8 b(.)40 b(A)24 b(third)f(argumen)m(t)g(is)h(that,)h
31445 (whereas)0 5087 y(the)36 b(phase)h(space)h(of)d(2)f Fn(!)f
31446 Fw(1)j(and)g(2)d Fn(!)g Fw(2)j(pro)s(cesses)i(can)e(b)s(e)h(set)f(up)h
31447 (once)f(and)h(for)e(all)f(according)0 5195 y(to)f(a)g(reasonably)h
31448 (\015exible)f(mac)m(hinery)-8 b(,)34 b(pro)s(cesses)h(with)e(more)g
31449 (\014nal-state)g(particles)f(are)i(less)f(easy)0 5304
31450 y(to)k(generate.)60 b(T)-8 b(o)37 b(ac)m(hiev)m(e)i(a)f(reasonable)f
31451 (e\016ciency)-8 b(,)40 b(it)d(is)g(necessary)j(to)e(tailor)d(the)j
31452 (phase-space)0 5412 y(selection)29 b(pro)s(cedure)g(to)g(the)g
31453 (dynamics)g(of)g(the)g(giv)m(en)g(pro)s(cess,)i(and)e(to)g(the)g
31454 (desired)g(exp)s(erimen)m(tal)0 5520 y(cuts.)146 5629
31455 y(If)36 b(the)g(desired)h(subpro)s(cess)h(is)d(missing,)g(it)g(can)i(b)
31456 s(e)f(included)f(in)m(to)g Fm(Pythia)h Fw(as)g(an)g(`external')1817
31457 5953 y(168)p eop
31458 %%Page: 169 175
31459 169 174 bop 0 -18 a Fw(subpro)s(cess.)44 b(In)29 b(this)g(section)g(w)m
31460 (e)g(will)e(describ)s(e)i(ho)m(w)g(it)f(is)g(p)s(ossible)g(to)h(sp)s
31461 (ecify)g(the)g(partonic)f(state)0 90 y(of)42 b(some)g(hard-scattering)g
31462 (pro)s(cess)i(in)d(an)i(in)m(terface)f(common)f(blo)s(c)m(k.)73
31463 b Fm(Pythia)43 b Fw(will)d(read)j(this)0 198 y(common)35
31464 b(blo)s(c)m(k,)j(and)f(add)g(initial-)c(and)k(\014nal-state)f(sho)m(w)m
31465 (ers,)k(b)s(eam)c(remnan)m(ts)h(and)g(underlying)0 307
31466 y(ev)m(en)m(ts,)g(fragmen)m(tation)31 b(and)j(deca)m(ys,)i(to)e(build)e
31467 (up)i(an)g(ev)m(en)m(t)i(in)d(as)h(m)m(uc)m(h)g(detail)e(as)i(an)g
31468 (ordinary)0 415 y Fm(Pythia)41 b Fw(one.)68 b(Y)-8 b(ou)41
31469 b(ma)m(y)g(also)f(use)h Fm(Pythia)g Fw(to)g(mix)f(ev)m(en)m(ts)j(of)d
31470 (di\013eren)m(t)h(kinds,)i(and)e(to)g(k)m(eep)0 523 y(trac)m(k)28
31471 b(of)f(cross)i(section)e(statistics.)41 b(Y)-8 b(ou)28
31472 b(ha)m(v)m(e)h(to)e(pro)m(vide)g(the)h(matrix)e(elemen)m(ts,)j(the)f
31473 (phase-space)0 632 y(generator,)33 b(and)f(the)h(storage)g(of)f(ev)m
31474 (en)m(t)i(information)c(in)i(the)h(common)e(blo)s(c)m(k.)146
31475 740 y(First)j(a)g(minor)f(commen)m(t,)i(ho)m(w)m(ev)m(er.)52
31476 b(Some)35 b(pro)s(cesses)h(ma)m(y)f(b)s(e)g(seen)h(just)f(as)g(trivial)
31477 d(mo)s(di\014-)0 848 y(cations)k(of)g(already)g(existing)f(ones.)56
31478 b(F)-8 b(or)35 b(instance,)j(y)m(ou)f(migh)m(t)e(w)m(an)m(t)i(to)f(add)
31479 g(some)g(extra)h(term,)0 957 y(corresp)s(onding)27 b(to)h(con)m(tact)g
31480 (in)m(teractions,)g(to)f(the)h(matrix)e(elemen)m(ts)h(of)g(a)h
31481 Fm(Pythia)f Fw(2)h Fn(!)f Fw(2)g(pro)s(cess.)0 1065 y(In)35
31482 b(that)f(case)i(it)d(is)h(not)h(necessary)i(to)d(go)g(through)g(the)h
31483 (mac)m(hinery)g(b)s(elo)m(w,)g(but)f(instead)h(y)m(ou)g(can)0
31484 1173 y(use)42 b(the)f Fq(PYEVWT)h Fw(routine)e(to)h(in)m(tro)s(duce)f
31485 (an)h(additional)d(w)m(eigh)m(t)j(for)f(the)h(ev)m(en)m(t,)k(de\014ned)
31486 d(as)f(the)0 1282 y(ratio)35 b(of)g(the)i(mo)s(di\014ed)e(to)g(the)i
31487 (unmo)s(di\014ed)e(di\013eren)m(tial)f(cross)j(sections.)55
31488 b(If)36 b(y)m(ou)h(use)g(the)g(option)0 1390 y Fq(MSTP\(142\)=2)p
31489 Fw(,)h(this)d(w)m(eigh)m(t)g(is)f(considered)i(as)f(part)g(of)f(the)h
31490 (`true')h(cross)g(section)f(of)f(the)h(pro)s(cess,)0
31491 1498 y(and)e(the)g(generation)f(is)g(c)m(hanged)h(accordingly)-8
31492 b(.)146 1607 y(The)34 b(more)e(generic)g(facilit)m(y)f(for)h(including)
31493 f(an)h(external)h(pro)s(cess)h(is)e(a)g(bit)g(more)g(complicated,)0
31494 1715 y(and)k(in)m(v)m(olv)m(es)g(t)m(w)m(o)h(routines)f(and)g(one)g
31495 (common)e(blo)s(c)m(k.)53 b(All)34 b(names)i(con)m(tain)f
31496 Fq(UP)p Fw(,)i(whic)m(h)f(is)f(short)0 1823 y(for)d(User)h(Pro)s(cess.)
31497 146 1932 y(If)43 b(y)m(ou)h(w)m(an)m(t)f(to)g(include)f(a)g(new)i(pro)s
31498 (cess,)j(\014rst)c(y)m(ou)g(ha)m(v)m(e)h(to)f(pic)m(k)g(an)g(un)m(used)
31499 h(subpro)s(cess)0 2040 y(n)m(um)m(b)s(er)28 b(ISUB)h(\(see)g(tables)f
31500 (in)f(section)i(8.1\).)41 b(F)-8 b(or)27 b(instance,)j(the)e(n)m(um)m
31501 (b)s(ers)h(191{200)e(are)h(curren)m(tly)0 2148 y(un)m(used,)k(so)d
31502 (this)g(migh)m(t)f(b)s(e)i(a)f(logical)d(place)j(to)g(put)h(a)f(new)h
31503 (pro)s(cess.)44 b(This)29 b(n)m(um)m(b)s(er)h(and)f(the)h(`title')0
31504 2257 y(of)35 b(the)g(pro)s(cess)i(\(plus)e Fq(SIGMAX)p
31505 Fw(,)i(to)e(b)s(e)g(describ)s(ed)h(b)s(elo)m(w\))f(ha)m(v)m(e)i(to)e(b)
31506 s(e)g(giv)m(en)h(in)e(to)h Fm(Pythia)g Fw(in)g(a)0 2365
31507 y(subroutine)e(call)p 0 2490 1697 9 v 0 2715 9 225 v
31508 79 2630 a Fq(CALL)52 b(PYUPIN\(ISUB,TITLE,SIGMA)q(X\))p
31509 1688 2715 V 0 2723 1697 9 v 0 2909 a Fw(b)s(efore)29
31510 b(the)g(call)e(to)h Fq(PYINIT)p Fw(.)i(The)g Fq(TITLE)g
31511 Fw(can)f(b)s(e)g(an)m(y)g(c)m(haracter)h(string)e(up)h(to)f(28)g(c)m
31512 (haracters,)j(e.g.)308 3081 y Fq(CALL)52 b(PYUPIN\(191,'g)j(+)c(g)h(->)
31513 g(t)f(+)h(tbar)g(+)f(gamma',SIGMAX\))0 3253 y Fw(The)35
31514 b(call)e(to)h Fq(PYUPIN)i Fw(tells)d(the)i(program)e(that)h(a)g(pro)s
31515 (cess)i(ISUB)f(exists,)g(but)g(not)f(that)h(y)m(ou)g(w)m(an)m(t)0
31516 3362 y(to)i(generate)g(it.)56 b(This)37 b(is)f(done,)j(as)e(with)f
31517 (normal)f(pro)s(cesses,)41 b(b)m(y)c(setting)h Fq(MSUB\(ISUB\)=1)i
31518 Fw(b)s(efore)0 3470 y(the)33 b Fq(PYINIT)h Fw(call.)146
31519 3578 y(Once)e(the)f(ev)m(en)m(t)h(generation)e(c)m(hain)g(has)h(b)s
31520 (een)h(started)f(and)g Fq(PYEVNT)h Fw(is)e(called)f(to)h(generate)i(an)
31521 0 3687 y(ev)m(en)m(t,)h(this)d(routine)g(ma)m(y)g(in)g(its)f(turn)i
31522 (call)e(the)i(routine)f Fq(PYUPEV)p Fw(,)i(whic)m(h)f(is)f(the)g
31523 (routine)g(y)m(ou)h(m)m(ust)0 3795 y(supply)-8 b(,)31
31524 b(in)f(whic)m(h)h(the)f(next)h(ev)m(en)m(t)i(is)c(selected.)44
31525 b(\(A)30 b(dumm)m(y)g(cop)m(y)i(of)k Fq(PYUPEV)c Fw(has)f(b)s(een)g
31526 (included)0 3903 y(at)c(the)g(end)h(of)33 b Fm(Pythia)p
31527 Fw(;)c(dep)s(ending)e(on)g(the)g(mac)m(hine)g(y)m(ou)g(ma)m(y)g(ha)m(v)
31528 m(e)h(to)f(commen)m(t)f(out)h(this)f(cop)m(y)0 4012 y(when)34
31529 b(y)m(ou)f(link)e(y)m(our)j(o)m(wn.\))44 b(The)33 b(call)e(argumen)m
31530 (ts)i(are)p 0 4161 1338 9 v 0 4386 9 225 v 79 4301 a
31531 Fq(CALL)52 b(PYUPEV\(ISUB,SIGEV\))p 1329 4386 V 0 4394
31532 1338 9 v 0 4586 a Fw(where)33 b Fq(ISUB)g Fw(is)e(giv)m(en)h(b)m(y)h
31533 Fq(PYEVNT)p Fw(,)h(while)d Fq(SIGEV)h Fw(is)g(to)f(b)s(e)h(calculated)f
31534 (\(see)h(b)s(elo)m(w\))g(and)f(returned)0 4694 y(to)36
31535 b Fq(PYEVNT)p Fw(.)i(If)e(there)h(is)f(only)f(one)i(user-de\014ned)h
31536 (pro)s(cess,)g(then)f(the)g Fq(ISUB)g Fw(input)f(is)g(sup)s
31537 (er\015uous;)0 4803 y(otherwise)d(it)f(is)g(necessary)j(to)d(branc)m(h)
31538 h(to)g(the)g(relev)-5 b(an)m(t)32 b(pro)s(cess.)146 4911
31539 y(The)43 b Fq(SIGEV)h Fw(v)-5 b(ariable)40 b(is)i(supp)s(osed)i(to)d
31540 (giv)m(e)i(the)f(di\013eren)m(tial)e(cross)k(section)e(ot)g(the)g
31541 (curren)m(t)0 5019 y(ev)m(en)m(t,)53 b(times)46 b(the)h(phase-space)i
31542 (v)m(olume)e(within)f(whic)m(h)h(ev)m(en)m(ts)j(are)d(generated,)k
31543 (expressed)f(in)0 5128 y(millibarns.)36 b(This)23 b(means)f(that,)i(in)
31544 e(the)h(limit)18 b(that)k(man)m(y)h(ev)m(en)m(ts)h(are)f(generated,)i
31545 (the)e(a)m(v)m(erage)g(v)-5 b(alue)0 5236 y(of)34 b Fq(SIGEV)c
31546 Fw(giv)m(es)e(the)h(total)d(cross)j(section)f(of)g(the)g(sim)m(ulated)f
31547 (pro)s(cess.)43 b(The)29 b Fq(SIGMAX)g Fw(v)-5 b(alue,)29
31548 b(handed)0 5344 y(to)d Fm(Pythia)g Fw(in)g(the)h Fq(PYUPIN)g
31549 Fw(call,)f(is)g(assumed)h(to)f(b)s(e)h(the)f(maxim)m(um)e(v)-5
31550 b(alue)26 b(that)g Fq(SIGEV)i Fw(will)c(reac)m(h.)0 5453
31551 y(Ev)m(en)m(ts)39 b(will)c(b)s(e)i(accepted)i(with)d(a)h(probabilit)m
31552 (y)f Fq(SIGEV/SIGMAX)p Fw(,)41 b(i.e.)56 b(the)37 b
31553 (acceptance/rejection)0 5561 y(of)c(ev)m(en)m(ts)j(according)d(to)g
31554 (di\013eren)m(tial)e(cross)k(section)e(is)g(done)h(b)m(y)i
31555 Fq(PYEVNT)p Fw(,)f(not)e(b)m(y)h(the)g(user.)47 b(This)0
31556 5669 y(means)36 b(that)h(the)f(ev)m(en)m(ts)j(that)d(come)g(out)h(in)e
31557 (the)i(end)g(all)d(ha)m(v)m(e)k(unit)e(w)m(eigh)m(t,)i(i.e.)54
31558 b(the)37 b(user)g(do)s(es)1817 5953 y(169)p eop
31559 %%Page: 170 176
31560 170 175 bop 0 -18 a Fw(not)30 b(ha)m(v)m(e)i(to)d(w)m(orry)i(ab)s(out)f
31561 (ev)m(en)m(ts)i(with)e(di\013eren)m(t)h(w)m(eigh)m(ts.)43
31562 b(It)30 b(also)g(allo)m(ws)f(sev)m(eral)i(subpro)s(cesses)0
31563 90 y(to)h(b)s(e)h(generated)g(together,)g(in)f(the)h(prop)s(er)g
31564 (mixture.)146 198 y(Of)48 b(course,)53 b(the)48 b(tric)m(ky)h(part)e
31565 (is)h(that)g(the)g(di\013eren)m(tial)e(cross)j(section)f(usually)f(is)h
31566 (strongly)0 307 y(p)s(eak)m(ed)30 b(in)e(a)g(few)h(regions)g(of)f(the)h
31567 (phase)g(space,)i(suc)m(h)f(that)e(the)h(a)m(v)m(erage)h(probabilit)m
31568 (y)d(to)h(accept)i(an)0 415 y(ev)m(en)m(t,)35 b Fn(h)p
31569 Fq(SIGEV)p Fn(i)p Fj(=)p Fq(SIGMAX)g Fw(is)d(small.)42
31570 b(It)33 b(ma)m(y)g(then)g(b)s(e)g(necessary)i(to)e(\014nd)g(a)g
31571 (suitable)f(set)h(of)g(trans-)0 523 y(formed)41 b(phase-space)i(co)s
31572 (ordinates,)g(for)e(whic)m(h)h(the)f(corresp)s(ondingly)g(transformed)g
31573 (di\013eren)m(tial)0 632 y(cross)34 b(section)e(is)g(b)s(etter)h(b)s
31574 (eha)m(v)m(ed.)146 740 y(T)-8 b(o)33 b(a)m(v)m(oid)g(unclarities,)f
31575 (here)h(is)g(a)f(more)h(formal)d(v)m(ersion)k(of)e(the)h(t)m(w)m(o)h
31576 (ab)s(o)m(v)m(e)g(paragraphs.)44 b(Call)0 848 y(d)p Fj(X)32
31577 b Fw(the)25 b(di\013eren)m(tial)e(phase)j(space,)h(e.g.)41
31578 b(for)24 b(a)g(2)k Fn(!)f Fw(2)d(pro)s(cess)i(d)p Fj(X)35
31579 b Fw(=)28 b(d)p Fj(x)2745 863 y Fl(1)2802 848 y Fw(d)p
31580 Fj(x)2911 863 y Fl(2)2967 848 y Fw(d)3022 830 y(^)3021
31581 848 y Fj(t)q Fw(,)e(where)g Fj(x)3439 863 y Fl(1)3503
31582 848 y Fw(and)f Fj(x)3740 863 y Fl(2)0 957 y Fw(are)33
31583 b(the)h(momen)m(tum)d(fractions)h(carried)h(b)m(y)h(the)f(t)m(w)m(o)h
31584 (incoming)d(partons)i(and)3021 938 y(^)3019 957 y Fj(t)h
31585 Fw(the)f(Mandelstam)0 1065 y(v)-5 b(ariable)25 b(of)i(the)g
31586 (scattering.)41 b(Call)26 b(d)p Fj(\033)t(=)p Fw(d)p
31587 Fj(X)35 b Fw(the)27 b(di\013eren)m(tial)e(cross)j(section)f(of)f(the)i
31588 (pro)s(cess,)h(e.g.)42 b(for)0 1186 y(2)27 b Fn(!)h Fw(2:)40
31589 b(d)p Fj(\033)t(=)p Fw(d)p Fj(X)c Fw(=)756 1119 y Fg(P)844
31590 1206 y Fh(ij)921 1186 y Fj(f)969 1201 y Fh(i)997 1186
31591 y Fw(\()p Fj(x)1090 1201 y Fl(1)1130 1186 y Fj(;)17 b(Q)1251
31592 1150 y Fl(2)1290 1186 y Fw(\))g Fj(f)1393 1201 y Fh(j)1430
31593 1186 y Fw(\()p Fj(x)1523 1201 y Fl(2)1562 1186 y Fj(;)g(Q)1683
31594 1150 y Fl(2)1723 1186 y Fw(\))g(d)5 b(^)-54 b Fj(\033)1887
31595 1201 y Fh(ij)1948 1186 y Fj(=)p Fw(d)2052 1167 y(^)2051
31596 1186 y Fj(t)p Fw(,)28 b(i.e.)41 b(the)27 b(pro)s(duct)f(of)h(parton)f
31597 (distributions)0 1294 y(and)31 b(hard-scattering)g(matrix)f(elemen)m
31598 (ts,)i(summed)f(o)m(v)m(er)i(all)c(allo)m(w)m(ed)i(incoming)e(\015a)m
31599 (v)m(ours)j Fj(i)g Fw(and)f Fj(j)6 b Fw(.)0 1402 y(The)37
31600 b(ph)m(ysical)e(cross)i(section)e(that)h(one)g(then)g(w)m(an)m(ts)h(to)
31601 e(generate)h(is)f Fj(\033)i Fw(=)2871 1331 y Fg(R)2926
31602 1402 y Fw(\(d)p Fj(\033)t(=)p Fw(d)p Fj(X)8 b Fw(\))17
31603 b(d)p Fj(X)8 b Fw(,)36 b(where)0 1511 y(the)46 b(in)m(tegral)f(is)g(o)m
31604 (v)m(er)i(the)g(allo)m(w)m(ed)e(phase-space)i(v)m(olume.)84
31605 b(The)46 b(ev)m(en)m(t)i(generation)e(pro)s(cedure)0
31606 1619 y(consists)30 b(of)f(selecting)g(an)g Fj(X)37 b
31607 Fw(uniformly)27 b(in)h(d)p Fj(X)38 b Fw(and)29 b(then)h(ev)-5
31608 b(aluating)27 b(the)j(w)m(eigh)m(t)g(d)p Fj(\033)t(=)p
31609 Fw(d)p Fj(X)37 b Fw(at)29 b(this)0 1727 y(p)s(oin)m(t.)42
31610 b Fq(SIGEV)34 b Fw(is)d(no)m(w)i(simply)e Fq(SIGEV)p
31611 Fw(=)e(d)p Fj(\033)t(=)p Fw(d)p Fj(X)1891 1656 y Fg(R)1963
31612 1727 y Fw(d)p Fj(X)8 b Fw(,)32 b(i.e.)43 b(the)32 b(di\013eren)m(tial)f
31613 (cross)h(section)g(times)0 1836 y(the)k(considered)h(v)m(olume)e(of)h
31614 (phase)g(space.)55 b(Clearly)-8 b(,)35 b(when)i(a)m(v)m(eraged)g(o)m(v)
31615 m(er)g(man)m(y)f(ev)m(en)m(ts,)j Fq(SIGEV)0 1944 y Fw(will)33
31616 b(correctly)j(estimate)f(the)g(desired)i(cross)f(section.)52
31617 b(If)43 b Fq(SIGEV)37 b Fw(\015uctuates)f(to)s(o)f(m)m(uc)m(h,)i(one)f
31618 (ma)m(y)0 2052 y(try)41 b(to)e(transform)h(to)g(new)h(v)-5
31619 b(ariables)39 b Fj(X)1586 2016 y Fk(0)1609 2052 y Fw(,)j(where)g(ev)m
31620 (en)m(ts)g(are)f(no)m(w)g(pic)m(k)m(ed)g(accordingly)e(to)h(d)p
31621 Fj(X)3756 2016 y Fk(0)0 2161 y Fw(and)33 b Fq(SIGEV)p
31622 Fw(=)c(d)p Fj(\033)t(=)p Fw(d)p Fj(X)855 2125 y Fk(0)911
31623 2090 y Fg(R)983 2161 y Fw(d)p Fj(X)1126 2125 y Fk(0)1149
31624 2161 y Fw(.)146 2269 y(A)d(w)m(arning.)41 b(It)26 b(is)g(imp)s(ortan)m
31625 (t)e(that)i Fj(X)33 b Fw(is)26 b(indeed)g(uniformly)e(pic)m(k)m(ed)j
31626 (within)e(the)h(allo)m(w)m(ed)g(phase)0 2377 y(space,)34
31627 b(alternativ)m(ely)e(that)h(an)m(y)g(Jacobians)g(are)g(prop)s(erly)g
31628 (tak)m(en)h(in)m(to)e(accoun)m(t.)46 b(F)-8 b(or)32 b(instance,)h(in)0
31629 2486 y(the)47 b(case)g(ab)s(o)m(v)m(e,)j(one)c(approac)m(h)h(w)m(ould)f
31630 (b)s(e)g(to)g(pic)m(k)g Fj(x)2199 2501 y Fl(1)2239 2486
31631 y Fw(,)k Fj(x)2371 2501 y Fl(2)2457 2486 y Fw(and)2661
31632 2467 y(^)2660 2486 y Fj(t)c Fw(uniformly)e(in)h(the)i(ranges)0
31633 2594 y(0)34 b Fj(<)g(x)248 2609 y Fl(1)322 2594 y Fj(<)g
31634 Fw(1,)j(0)d Fj(<)g(x)793 2609 y Fl(2)867 2594 y Fj(<)g
31635 Fw(1,)k(and)e Fn(\000)p Fj(s)f(<)1553 2576 y Fw(^)1552
31636 2594 y Fj(t)f(<)g Fw(0,)j(with)f(full)f(phase)i(space)h(v)m(olume)3124
31637 2523 y Fg(R)3196 2594 y Fw(d)p Fj(X)43 b Fw(=)34 b Fj(s)p
31638 Fw(.)55 b(The)0 2711 y(cross)32 b(section)f(w)m(ould)g(only)f(b)s(e)h
31639 (non-v)-5 b(anishing)30 b(inside)g(the)h(ph)m(ysical)g(region)f(giv)m
31640 (en)h(b)m(y)h Fn(\000)p Fj(sx)3478 2726 y Fl(1)3518 2711
31641 y Fj(x)3573 2726 y Fl(2)3641 2711 y Fj(<)3746 2693 y
31642 Fw(^)3744 2711 y Fj(t)0 2820 y Fw(\(in)c(the)h(massless)g(case\),)h
31643 (i.e.)41 b(Mon)m(te)30 b(Carlo)d(e\016ciency)j(is)e(lik)m(ely)g(to)g(b)
31644 s(e)h(lo)m(w.)41 b(Ho)m(w)m(ev)m(er,)32 b(if)27 b(one)i(w)m(ere)0
31645 2940 y(to)34 b(c)m(ho)s(ose)433 2922 y(^)431 2940 y Fj(t)h
31646 Fw(v)-5 b(alues)33 b(only)h(in)f(the)i(range)e Fn(\000)t
31647 Fw(^)-53 b Fj(s)31 b(<)1820 2922 y Fw(^)1819 2940 y Fj(t)f(<)g
31648 Fw(0,)k(small)i(^)-53 b Fj(s)34 b Fw(v)-5 b(alues)34
31649 b(w)m(ould)f(b)s(e)i(fa)m(v)m(oured,)g(since)0 3049 y(the)30
31650 b(densit)m(y)g(of)f(selected)968 3030 y(^)967 3049 y
31651 Fj(t)h Fw(v)-5 b(alues)29 b(w)m(ould)h(b)s(e)f(larger)g(there.)43
31652 b(Without)29 b(the)h(use)g(of)f(a)g(comp)s(ensating)0
31653 3157 y(Jacobian)38 b(^)-53 b Fj(s=s)p Fw(,)34 b(an)h(incorrect)f(answ)m
31654 (er)i(w)m(ould)e(b)s(e)h(obtained.)48 b(Alternativ)m(ely)-8
31655 b(,)34 b(one)h(could)f(start)h(out)0 3286 y(with)e(a)g(phase)h(space)h
31656 (lik)m(e)e(d)p Fj(X)k Fw(=)29 b(d)p Fj(x)1405 3301 y
31657 Fl(1)1461 3286 y Fw(d)p Fj(x)1570 3301 y Fl(2)1627 3286
31658 y Fw(d\(cos)1874 3259 y(^)1866 3286 y Fj(\022)s Fw(\),)34
31659 b(where)h(the)f(limits)c(decouple.)46 b(Of)33 b(course,)i(the)0
31660 3414 y(cos)155 3388 y(^)147 3414 y Fj(\022)42 b Fw(v)-5
31661 b(ariable)37 b(can)i(b)s(e)g(translated)f(bac)m(k)i(in)m(to)e(a)1924
31662 3396 y(^)1923 3414 y Fj(t)p Fw(,)i(whic)m(h)g(will)c(then)j(alw)m(a)m
31663 (ys)h(b)s(e)f(in)f(the)h(desired)0 3523 y(range)33 b
31664 Fn(\000)t Fw(^)-53 b Fj(s)28 b(<)522 3504 y Fw(^)520
31665 3523 y Fj(t)g(<)g Fw(0.)43 b(The)33 b(transformation)e(itself)g(here)i
31666 (giv)m(es)g(the)g(necessary)i(Jacobian.)146 3631 y(If)g(y)m(ou)h(do)f
31667 (not)g(kno)m(w)h(ho)m(w)g(big)g Fq(SIGMAX)g Fw(is,)g(y)m(ou)g(can)f
31668 (put)g(it)g(to)f(some)h(v)m(ery)i(small)c(v)-5 b(alue)34
31669 b(\(but)0 3739 y(larger)41 b(than)h(zero,)j(ho)m(w)m(ev)m(er\))g(and)d
31670 (do)g(an)g(exploratory)g(run.)73 b(When)43 b(the)g(program)d(encoun)m
31671 (ters)0 3848 y(ev)m(en)m(ts)h(with)d Fq(SIGEV)p Fj(>)p
31672 Fq(SIGMAX)p Fw(,)k(a)c(w)m(arning)h(message)g(is)f(prin)m(ted,)i(whic)m
31673 (h)g(giv)m(es)f(the)g(new)i Fq(SIGMAX)0 3956 y Fw(that)30
31674 b(the)g(program)e(will)g(use)i(from)f(then)h(on.)43 b(Hop)s(efully)28
31675 b(suc)m(h)j(maxim)m(um)d(violations)f(only)j(app)s(ear)0
31676 4065 y(at)k(the)g(b)s(eginning)f(of)h(the)g(run,)h(and)f(later)f
31677 Fq(SIGMAX)j Fw(stabilizes)d(to)h(a)f(lev)m(el)h(that)g(can)g(then)h(b)s
31678 (e)f(used)0 4173 y(as)f(input)f(for)g(a)g(second,)i(correct)f(run.)146
31679 4281 y(If)i(y)m(ou)g(w)m(an)m(t)h(to)f(do)f(the)h(ev)m(en)m(t)i
31680 (rejection)e(y)m(ourself,)g(simply)f(put)h Fq(SIGEV)h
31681 Fw(equal)e(to)h Fq(SIGMAX)p Fw(.)h(In)0 4390 y(that)c(case)i(ev)m(en)m
31682 (ts)h(will)30 b(not)j(b)s(e)g(rejected)h(b)m(y)h Fm(Pythia)d
31683 Fw(\(except)j(if)c(there)j(is)e(something)f(else)i(wrong)0
31684 4498 y(with)e(them\).)43 b(If)38 b Fq(SIGMAX)33 b Fw(is)e(the)g
31685 (correct)h(total)e(cross)i(section)g(of)f(the)h(pro)s(cess,)g(ev)m(en)m
31686 (t)i(mixing)29 b(with)0 4606 y(other)i(pro)s(cesses)j(will)29
31687 b(still)g(w)m(ork)j(\014ne.)43 b(Y)-8 b(ou)32 b(could)e(also)h(decide)g
31688 (not)h(to)e(reject)i(an)m(y)g(ev)m(en)m(ts,)i(but)e(to)0
31689 4715 y(use)25 b(w)m(eigh)m(ted)g(ones.)41 b(In)25 b(that)f(case)h(y)m
31690 (ou)g(can)f(only)f(ha)m(v)m(e)j(one)e(ISUB)h(switc)m(hed)g(on)f(in)g(a)
31691 f(run,)k(since)d(the)0 4823 y(program)30 b(will)e(not)j(kno)m(w)h(ho)m
31692 (w)g(to)f(mix)e(di\013eren)m(t)j(kinds)f(of)g(ev)m(en)m(ts,)i(and)e(y)m
31693 (ou)h(cannot)f(use)h Fm(Pythia)0 4931 y Fw(to)40 b(do)g(cross)i
31694 (section)e(statistics)g(for)g(y)m(ou.)68 b(Therefore)42
31695 b(y)m(ou)f(could,)h(for)e(instance,)j(put)d Fq(SIGMAX)53
31696 b(=)0 5040 y(SIGEV)g(=)e(1)p Fw(,)30 b(and)f(use)h(a)f(common)f(blo)s
31697 (c)m(k)g(to)h(transfer)g(ev)m(en)m(t)i(w)m(eigh)m(t)f(and)f(other)g
31698 (information)d(from)0 5148 y(y)m(our)33 b Fq(PYUPEV)h
31699 Fw(routine)e(to)h(y)m(our)g(main)e(program.)146 5256
31700 y(In)36 b(addition)d(to)i(the)h Fq(SIGEV)h Fw(v)-5 b(alue)35
31701 b(returned)h(for)f(eac)m(h)h(ev)m(en)m(t,)i(it)c(is)h(also)f(necessary)
31702 k(to)d(return)0 5365 y(the)e(ev)m(en)m(t)h(itself.)43
31703 b(This)32 b(is)g(done)i(via)d(the)i(common)f(blo)s(c)m(k)1817
31704 5953 y(170)p eop
31705 %%Page: 171 177
31706 171 176 bop 0 -110 3440 9 v 0 115 9 225 v 79 30 a Fq
31707 (COMMON/PYUPPR/NUP,KUP\(20)q(,7\),)q(PUP\()q(20,5)q(\),N)q(FUP,)q(IFUP)
31708 q(\(10,)q(2\),)q(Q2UP)q(\(0:1)q(0\))p 3431 115 V 0 123
31709 3440 9 v 146 309 a Fw(The)28 b(\014rst)g(part)f(closely)f(parallels)f
31710 (the)j(standard)f(ev)m(en)m(t)i(record)f(in)e(the)h Fq(LUJETS)i
31711 Fw(common)d(blo)s(c)m(k,)0 417 y(see)39 b(section)e(5.2,)i(although)d
31712 (with)h(a)h(few)g(simpli\014cations.)55 b(The)39 b(n)m(um)m(b)s(er)f
31713 Fq(NUP)g Fw(giv)m(es)g(the)g(n)m(um)m(b)s(er)0 526 y(of)e(particles)g
31714 (in)m(v)m(olv)m(ed)i(in)e(the)h(pro)s(cess,)i(where)f(a)f(particle)e
31715 (ma)m(y)i(b)s(e)g(a)f(quark,)j(a)e(lepton,)g(a)g(gauge)0
31716 634 y(b)s(oson,)32 b(or)f(an)m(ything)h(else.)43 b(The)33
31717 b(\014rst)f(t)m(w)m(o)h(are)e(simply)g(the)h(t)m(w)m(o)g(incoming)e
31718 (particles)h(that)g(initiate)0 742 y(the)k(hard)f(scattering,)h(while)e
31719 (the)i(remaining)e Fq(NUP-2)j Fw(are)e(the)h(outgoing)d(particles)i
31720 (from)f(the)h(hard)0 851 y(pro)s(cess.)45 b(F)-8 b(or)31
31721 b(eac)m(h)j(particle)d Fq(I)p Fw(,)i(with)f(1)c Fn(\024)p
31722 Fq(I)p Fn(\024)p Fq(NUP)p Fw(,)34 b(the)f(follo)m(wing)d(information)g
31723 (is)i(stored:)0 959 y Fq(KUP\(I,1\))53 b(:)48 b Fw(is)28
31724 b(=)g(1)g(normally)-8 b(.)40 b(Ho)m(w)m(ev)m(er,)32 b(if)27
31725 b(y)m(ou)i(put)g(it)e(=)i(2)f(that)g(signi\014es)g(in)m(termediate)g
31726 (states)472 1067 y(that)f(are)g(not)g(to)f(b)s(e)i(treated)f(b)m(y)i
31727 Fm(Pythia)p Fw(,)f(but)g(are)f(included)f(only)h(to)f(mak)m(e)h(the)h
31728 (ev)m(en)m(t)472 1176 y(record)34 b(easier)e(to)g(read.)0
31729 1284 y Fq(KUP\(I,2\))53 b(:)48 b Fw(is)30 b(the)g(\015a)m(v)m(our)h(co)
31730 s(de)g(of)f(a)g(particle,)f(i.e.)42 b(the)31 b(t)m(w)m(o)g(incoming)d
31731 (partons)i(for)g Fq(I)g Fw(=)g(1)g(and)472 1393 y(2,)g(and)g(the)g
31732 (outgoing)d(particles)i(for)g Fq(I)p Fn(\025)f Fw(3.)42
31733 b(The)31 b(\015a)m(v)m(our)f(co)s(des)g(are)f(the)h(standard)g(KF)472
31734 1501 y(ones,)k(as)f(used)g(elsewhere)h(in)e(the)h(program.)0
31735 1609 y Fq(KUP\(I,3\))53 b(:)48 b Fw(ma)m(y)41 b(b)s(e)g(used)h(to)e
31736 (indicate)g(the)h(p)s(osition)e(of)i(a)f(mother.)68 b(Suc)m(h)42
31737 b(information)c(ma)m(y)472 1718 y(again)26 b(mak)m(e)i(the)f(record)h
31738 (more)e(readable,)i(but)g(is)f(not)g(really)f(needed,)k(and)d(so)g(one)
31739 h(ma)m(y)472 1826 y(w)m(ell)k(put)h(all)e Fq(KUP\(I,3\)=0)p
31740 Fw(.)0 1934 y Fq(KUP\(I,4\))53 b(:)48 b Fw(for)33 b(a)g(\014nal-state)g
31741 (parton)g(whic)m(h)h(carries)g(colour,)f Fq(KUP\(I,4\))i
31742 Fw(giv)m(es)f(the)g(p)s(osition)e(of)472 2043 y(the)h(parton)g(from)e
31743 (whic)m(h)i(the)g(colour)f(comes;)h(otherwise)g(it)e(m)m(ust)i(b)s(e)g
31744 (0.)0 2151 y Fq(KUP\(I,5\))53 b(:)48 b Fw(for)34 b(a)h(\014nal-state)f
31745 (parton)h(that)g(carries)f(an)m(ticolour,)g Fq(KUP\(I,5\))k
31746 Fw(giv)m(es)d(the)g(p)s(osition)472 2259 y(of)e(the)g(parton)f(from)f
31747 (whic)m(h)i(the)g(an)m(ticolour)e(comes;)i(else)g(it)e(m)m(ust)i(b)s(e)
31748 g(0.)0 2368 y Fq(KUP\(I,6\))53 b(:)48 b Fw(for)28 b(an)h(initial-state)
31749 c(parton)k(that)f(carries)h(colour,)g Fq(KUP\(I,6\))h
31750 Fw(giv)m(es)g(the)f(p)s(osition)e(of)472 2476 y(the)33
31751 b(parton)g(to)f(whic)m(h)h(the)g(colour)f(go)s(es;)g(else)h(it)f(m)m
31752 (ust)h(b)s(e)f(0.)0 2584 y Fq(KUP\(I,7\))53 b(:)48 b
31753 Fw(for)36 b(an)g(initial-state)d(parton)j(whic)m(h)g(carries)h(an)m
31754 (ticolour,)e Fq(KUP\(I,7\))k Fw(giv)m(es)e(the)f(p)s(o-)472
31755 2693 y(sition)c(of)g(the)h(parton)f(to)g(whic)m(h)h(the)g(an)m
31756 (ticolour)e(go)s(es;)i(else)g(it)e(m)m(ust)i(b)s(e)g(0.)0
31757 2801 y Fq(PUP\(I,1\))53 b(:)48 b Fj(p)609 2816 y Fh(x)653
31758 2801 y Fw(,)32 b(i.e.)43 b Fj(x)33 b Fw(momen)m(tum.)0
31759 2909 y Fq(PUP\(I,2\))53 b(:)48 b Fj(p)609 2924 y Fh(y)650
31760 2909 y Fw(,)33 b(i.e.)43 b Fj(y)36 b Fw(momen)m(tum.)0
31761 3018 y Fq(PUP\(I,3\))53 b(:)48 b Fj(p)609 3033 y Fh(z)649
31762 3018 y Fw(,)32 b(i.e.)43 b Fj(z)38 b Fw(momen)m(tum.)0
31763 3126 y Fq(PUP\(I,4\))53 b(:)48 b Fj(E)6 b Fw(,)33 b(i.e.)43
31764 b(energy)-8 b(.)0 3234 y Fq(PUP\(I,5\))53 b(:)48 b Fj(m)p
31765 Fw(,)33 b(i.e.)43 b(mass.)0 3343 y(After)33 b(this)f(brief)g(summary)-8
31766 b(,)32 b(w)m(e)h(pro)s(ceed)h(with)e(more)g(details)f(and)i(examples.)
31767 146 3451 y(T)-8 b(o)30 b(illustrate)d(the)i(issue)h(of)e(do)s(cumen)m
31768 (tation)h(in)f Fq(KUP\(I,1\))j Fw(and)e Fq(KUP\(I,3\))p
31769 Fw(,)k(consider)c(the)h(case)0 3559 y(of)g(W)210 3523
31770 y Fl(+)301 3559 y Fw(pro)s(duction)g(and)h(deca)m(y)i(to)d(u)p
31771 1424 3480 55 4 v(d)q(,)h(ma)m(yb)s(e)g(as)g(part)g(of)f(a)h(more)f
31772 (complex)h(pro)s(cess.)44 b(The)32 b(\014nal-)0 3668
31773 y(state)e(particles)f(clearly)g(are)h(u)g(and)p 1365
31774 3589 V 31 w(d,)g(so)g(the)h(W)1860 3632 y Fl(+)1949 3668
31775 y Fw(need)g(not)f(b)s(e)g(giv)m(en)g(at)g(all,)e(but)j(it)d(w)m(ould)i
31776 (mak)m(e)0 3776 y(the)g(ev)m(en)m(t)i(listing)c(easier)i(to)g(read.)43
31777 b(Therefore)31 b(one)f(should)g(add)g(the)h(W)2727 3740
31778 y Fl(+)2786 3776 y Fw(,)g(but)f(with)g Fq(KUP\(I,1\)=2)p
31779 Fw(.)0 3884 y(\(If)39 b(the)h(W)418 3848 y Fl(+)516 3884
31780 y Fw(w)m(ould)f(ha)m(v)m(e)i(b)s(een)f(added)f(with)g
31781 Fq(KUP\(I,1\)=1)p Fw(,)k(it)c(w)m(ould)g(later)f(ha)m(v)m(e)i(b)s(een)g
31782 (treated)0 3993 y(b)m(y)h Fm(Pythia)p Fw(/)p Fm(Jetset)p
31783 Fw(,)f(whic)m(h)f(means)g(it)f(w)m(ould)h(ha)m(v)m(e)i(b)s(een)f(allo)m
31784 (w)m(ed)e(to)g(deca)m(y)j(once)e(more.\))63 b(If)0 4112
31785 y(the)40 b(W)276 4076 y Fl(+)376 4112 y Fw(is)f(in)g(line)g(3,)i(the)g
31786 (u)f(in)f(4)g(and)h(the)p 1762 4033 V 40 w(d)g(in)g(5,)h(one)f(could)g
31787 (further)g(put)g Fq(KUP\(4,3\)=3)i Fw(and)0 4220 y Fq(KUP\(5,3\)=3)f
31788 Fw(to)d(indicate)f(that)h(the)g(u)g(and)p 1728 4141 V
31789 39 w(d)g(in)f(lines)h(4)f(and)i(5)e(come)h(from)f(the)i(W)3302
31790 4184 y Fl(+)3399 4220 y Fw(stored)g(in)0 4328 y(line)31
31791 b(3.)146 4437 y(The)26 b(switc)m(h)f Fq(MSTP\(128\))i
31792 Fw(w)m(orks)e(in)f(the)h(same)f(w)m(a)m(y)i(for)e(user-de\014ned)i(pro)
31793 s(cesses)h(as)d(for)g(ordinary)0 4545 y(ones,)29 b(i.e.)41
31794 b(deca)m(y)27 b(pro)s(ducts)h(of)e(resonances)i(can)f(optionally)d(b)s
31795 (e)i(omitted)f(from)h(the)g(do)s(cumen)m(tation)0 4653
31796 y(section)48 b(of)f(the)i(ev)m(en)m(t)g(record,)j(and)c(history)g(p)s
31797 (oin)m(ters)g(can)g(b)s(e)g(set)g(sligh)m(tly)f(di\013eren)m(tly)-8
31798 b(.)89 b(The)0 4762 y(information)24 b(the)k(program)e(has)i(at)f(its)g
31799 (disp)s(osal)f(for)h(this)g(purp)s(ose)h(is)f(in)g Fq(KUP\(I,3\))p
31800 Fw(;)k(an)c(en)m(try)i(with)0 4870 y(this)j(v)-5 b(alue)32
31801 b(non-zero)h(is)f(considered)h(as)g(a)f(resonance)i(deca)m(y)g(pro)s
31802 (duct.)146 4978 y(The)k(colour-\015o)m(w)f(information)c(for)k
31803 (coloured)g(particles)f(\(quarks,)j(gluons,)f(lepto)s(quarks,)h(.)16
31804 b(.)g(.)g(\))0 5087 y(is)26 b(needed)h(to)f(set)h(up)f(parton)g(sho)m
31805 (w)m(ers)i(and)e(fragmen)m(tation)f(prop)s(erly)-8 b(.)40
31806 b(Sometimes)25 b(man)m(y)h(di\013eren)m(t)0 5195 y(colour)37
31807 b(\015o)m(ws)i(are)f(p)s(ossible)f(for)g(one)h(and)g(the)h(same)e(pro)s
31808 (cess,)k(as)d(discussed)i(in)d(section)h(8.2.1.)58 b(It)0
31809 5304 y(is)35 b(up)i(to)e(y)m(ou)i(whether)g(or)f(not)g(y)m(ou)g(will)e
31810 (include)h(all)f(p)s(ossible)i(colour)f(\015o)m(ws)i(in)e(the)h
31811 (appropriate)0 5412 y(mixture,)i(but)f(at)g(least)g(y)m(ou)h(m)m(ust)f
31812 (pic)m(k)h(some)f(represen)m(tativ)m(e)i(colour)d(con\014guration.)57
31813 b(Consider)0 5520 y(e.g.)k(the)39 b(case)g(of)f(g\(1\))25
31814 b(+)h(g\(2\))37 b Fn(!)g Fw(q\(3\))26 b(+)p 1663 5467
31815 52 4 v 26 w(q)q(\(4\),)39 b(where)h(the)f(n)m(um)m(b)s(ers)g(giv)m(e)f
31816 (the)h(p)s(osition)d(in)i(the)0 5629 y(arra)m(y)-8 b(.)41
31817 b(It)26 b(is)f(clear)f(the)i(q)g(m)m(ust)g(get)f(its)g(colour)g(from)f
31818 (either)h(of)g(the)h(t)m(w)m(o)g(gluons,)g(whic)m(h)g(means)g(there)
31819 1817 5953 y(171)p eop
31820 %%Page: 172 178
31821 172 177 bop 0 -18 a Fw(are)28 b(\(at)g(least\))g(t)m(w)m(o)h(p)s
31822 (ossibilities.)39 b(Pic)m(king)28 b(the)h(q)g(colour)e(to)h(come)g
31823 (from)f(gluon)h(1,)h(one)f(w)m(ould)g(th)m(us)0 90 y(write)c
31824 Fq(KUP\(3,4\)=1)p Fw(,)29 b(to)24 b(b)s(e)h(read)g(`the)g(colour)e(of)h
31825 (parton)h(3)f(comes)g(from)g(parton)g(1'.)41 b(By)25
31826 b(implication)0 198 y(therefore)36 b(also)f Fq(KUP\(1,6\)=3)p
31827 Fw(,)k(i.e.)52 b(`the)37 b(colour)d(of)h(parton)h(1)f(go)s(es)h(to)f
31828 (parton)h(3',)g(i.e.)52 b(the)36 b(colour)0 307 y(\015o)m(w)j(is)f(b)s
31829 (o)s(okk)m(ept)h(doubly)-8 b(.)61 b(The)40 b(an)m(ticolour)c(no)m(w)k
31830 (m)m(ust)e(\015o)m(w)h(from)e(parton)i(2)f(to)g(parton)g(4,)i(i.e.)0
31831 415 y Fq(KUP\(2,7\)=4)f Fw(and)e Fq(KUP\(4,5\)=2)p Fw(.)58
31832 b(This)37 b(completely)e(sp)s(eci\014es)j(the)f(colours)f(of)g(the)h(q)
31833 g(and)p 3517 362 52 4 v 37 w(q)q(,)g(but)0 523 y(not)j(of)f(the)h(t)m
31834 (w)m(o)h(gluons.)65 b(In)40 b(fact,)h(one)f(colour)f(in)g(the)i
31835 (initial)36 b(state)k(`annihilates')e(b)s(et)m(w)m(een)k(the)0
31836 632 y(g\(1\))32 b(and)i(g\(2\),)e(i.e.)45 b(the)33 b(an)m(ticolour)f
31837 (of)h(gluon)f(1)g(and)i(the)f(colour)f(of)h(gluon)f(2)h(matc)m(h,)g
31838 (whic)m(h)h(ma)m(y)0 740 y(b)s(e)42 b(expressed)i(b)m(y)g
31839 Fq(KUP\(1,7\)=2)g Fw(and)e Fq(KUP\(2,6\)=1)p Fw(.)73
31840 b(In)42 b(other)g(w)m(ords)h(colour/an)m(ticolour)38
31841 b(of)k(an)0 848 y(initial-state)23 b(parton)k(ma)m(y)g(either)g(go)g
31842 (to)g(a)g(\014nal-state)f(parton)h(or)g(to)g(another)g(initial-state)d
31843 (parton.)0 957 y(Corresp)s(ondingly)-8 b(,)39 b(the)f(colour/an)m
31844 (ticolour)e(of)h(a)h(\014nal-state)f(parton)h(ma)m(y)f(come)h(either)g
31845 (from)f(an)0 1065 y(initial-state)21 b(parton)j(or)h(from)e(another)i
31846 (\014nal-state)f(parton.)40 b(An)25 b(example)g(of)f(the)h(latter)f(p)s
31847 (ossibilit)m(y)0 1173 y(is)33 b(W)h(deca)m(ys,)i(or)c(generically)g
31848 (the)i(deca)m(y)g(of)f(an)m(y)h(colour-singlet)c(particle.)44
31849 b(\(Th)m(us)35 b(a)e(third)f(colour)0 1282 y(\015o)m(w)k(ab)s(o)m(v)m
31850 (e)h(is)e(represen)m(ted)j(b)m(y)f(gg)d Fn(!)f Fw(H)1585
31851 1245 y Fl(0)1657 1282 y Fn(!)g Fw(q)p 1841 1229 V(q)q(,)j(where)h(no)f
31852 (colour)f(passes)i(through)f(the)g(Higgs,)0 1390 y(and)31
31853 b(therefore)h(colour)e(\015o)m(ws)i(b)s(et)m(w)m(een)h(the)f(t)m(w)m(o)
31854 f(gluons)g(and,)g(separately)-8 b(,)32 b(b)s(et)m(w)m(een)h(the)e(q)h
31855 (and)p 3663 1337 V 31 w(q.\))146 1498 y(Storing)38 b(of)g(momen)m(ta)g
31856 (should)h(b)s(e)f(straigh)m(tforw)m(ard,)i(but)f(a)g(few)g(commen)m(ts)
31857 g(m)m(ust)g(b)s(e)g(made.)0 1607 y(Ev)m(en)d(if)c(y)m(ou)j(ask,)g(in)e
31858 (the)h Fq(PYINIT)i Fw(call,)d(to)g(ha)m(v)m(e)i(ev)m(en)m(ts)i
31859 (generated)d(in)g(a)f(\014xed)i(target)f(or)f(a)h(user-)0
31860 1715 y(sp)s(eci\014ed)39 b(frame,)g(at)g(in)m(termediate)e(stages)i
31861 Fm(Pythia)g Fw(will)d(still)g(w)m(ork)j(in)f(the)h(c.m.)61
31862 b(frame)37 b(of)h(the)0 1823 y(t)m(w)m(o)k(incoming)e(b)s(eam)h
31863 (particles,)i(with)e(the)i(\014rst)f(b)s(eam)f(mo)m(ving)f(in)h(the)h
31864 (+)p Fj(z)47 b Fw(direction)40 b(and)i(the)0 1932 y(second)c(in)d(the)i
31865 Fn(\000)p Fj(z)42 b Fw(one.)56 b(This)36 b(c.m.)55 b(frame)36
31866 b(m)m(ust)g(also)g(b)s(e)h(used)g(when)h(giving)d(the)i(momen)m(ta)e
31867 (of)0 2040 y(the)30 b(pro)s(cess.)43 b(In)30 b(addition,)e(the)i(t)m(w)
31868 m(o)g(incoming)d(partons)i(in)g(lines)f(1)h(and)h(2)f(are)g(assumed)h
31869 (massless.)0 2148 y(Therefore)h(the)g(initial-state)c(partons)j(are)g
31870 (c)m(haracterized)h(only)f(b)m(y)h(the)g(t)m(w)m(o)g(energies)g
31871 Fq(P\(1,4\))g Fw(and)0 2257 y Fq(P\(2,4\))p Fw(,)37 b(with)d
31872 Fq(P\(1,3\))53 b(=)f(P\(1,4\))p Fw(,)37 b Fq(P\(2,3\))53
31873 b(=)e(-P\(2,4\))p Fw(,)37 b(and)e(ev)m(erything)h(else)f(is)f(zero.)51
31874 b(In)35 b(the)0 2365 y(\014nal)40 b(state,)k(energies,)g(momen)m(ta)c
31875 (and)i(masses)g(are)f(free,)j(but)e(m)m(ust)f(add)g(up)h(to)f(giv)m(e)g
31876 (the)h(same)0 2473 y(four-momen)m(tum)f(as)i(that)g(of)g(the)g(initial)
31877 d(state.)75 b(All)41 b(momen)m(ta)h(are)i(giv)m(en)f(in)f(GeV,)h(with)g
31878 (the)0 2582 y(sp)s(eed)34 b(of)e(ligh)m(t)f Fj(c)c Fw(=)h(1.)146
31879 2690 y(The)47 b(second)g(part)f(of)f(the)i Fq(PYUPPR)g
31880 Fw(common)e(blo)s(c)m(k)g(is)h(used)h(to)e(regulate)g(the)i(initial-)41
31881 b(and)0 2798 y(\014nal-state)32 b(sho)m(w)m(ering,)h(as)g(follo)m(ws:)0
31882 2907 y Fq(Q2UP\(0\))53 b(:)48 b Fj(Q)586 2871 y Fl(2)658
31883 2907 y Fw(scale)32 b(of)h(initial-state)28 b(sho)m(w)m(ers.)0
31884 3015 y Fq(NFUP)52 b(:)165 b Fw(n)m(um)m(b)s(er)33 b(of)g(parton)f
31885 (pairs)g(that)g(undergo)h(\014nal-state)f(sho)m(w)m(ers.)0
31886 3123 y Fq(IFUP\(IF,1\),)54 b(IFUP\(IF,2\))g(:)48 b Fw(p)s(ositions)29
31887 b(of)h(the)h(t)m(w)m(o)g(partons)g(of)f(a)g(\014nal-state)g(sho)m(w)m
31888 (ering)h(pair,)472 3232 y(where)j(the)f(index)g Fq(IF)g
31889 Fw(runs)g(b)s(et)m(w)m(een)i(1)d(and)h Fq(NFUP)p Fw(.)0
31890 3340 y Fq(Q2UP\(IF\))53 b(:)48 b Fw(the)33 b Fj(Q)805
31891 3304 y Fl(2)877 3340 y Fw(scale)g(of)f(the)h(\014nal-state)f(sho)m(w)m
31892 (er)i(b)s(et)m(w)m(een)h(parton)d(pair)f Fq(IF)i Fw(ab)s(o)m(v)m(e.)146
31893 3448 y(If)38 b(y)m(ou)g(do)g(not)f(w)m(an)m(t)h(an)m(y)h(sho)m(w)m
31894 (ering)f(at)f(all,)g(y)m(ou)h(can)g(put)g Fq(MSTP\(61\)=0)i
31895 Fw(and)e Fq(MSTP\(71\)=0)p Fw(,)0 3557 y(and)g(then)g(y)m(ou)h(do)e
31896 (not)h(ha)m(v)m(e)h(to)e(giv)m(e)h(the)g(ab)s(o)m(v)m(e)h(quan)m
31897 (tities.)58 b(In)38 b(general)f(the)i(scale)e(c)m(hoices)i
31898 Fj(Q)3740 3521 y Fl(2)0 3665 y Fw(are)j(not)g(unique,)k(whic)m(h)c
31899 (means)h(that)f(some)g(guessw)m(ork)i(is)e(in)m(v)m(olv)m(ed.)73
31900 b(Since)42 b(the)h(sho)m(w)m(ers)h(add)0 3774 y(extra)37
31901 b(partonic)e(activit)m(y)h(at)g(mass)h(scales)g(b)s(elo)m(w)f(the)h
31902 (men)m(tioned)f Fj(Q)2653 3737 y Fl(2)2729 3774 y Fw(c)m(hoices,)i(the)
31903 f Fq(Q2UP)h Fw(should)0 3882 y(b)s(e)c(of)g(the)g(order)h(of)e(the)i
31904 (phase-space)g(cut-o\013s,)g(so)f(as)h(to)e(pro)m(vide)i(a)e
31905 (reasonably)h(smo)s(oth)g(joining)0 3990 y(b)s(et)m(w)m(een)i(partonic)
31906 d(activit)m(y)g(from)g(matrix)f(elemen)m(ts)i(and)g(that)g(from)f(sho)m
31907 (w)m(ers.)49 b(There)35 b(are)f(a)g(few)0 4099 y(cases)39
31908 b(where)f(c)m(hoices)g(are)f(rather)g(easy)-8 b(.)58
31909 b(In)38 b(the)f(deca)m(y)i(of)d(an)m(y)i Fj(s)p Fw(-c)m(hannel)f
31910 (colour)f(neutral)h(state,)0 4207 y(suc)m(h)h(as)e(a)g(W)533
31911 4171 y Fk(\006)593 4207 y Fw(,)h(the)g Fj(Q)906 4171
31912 y Fl(2)982 4207 y Fw(scale)f(of)g(\014nal-state)f(sho)m(w)m(ers)k(is)d
31913 (just)g(set)h(b)m(y)h(the)e(squared)i(mass)e(of)g(the)0
31914 4315 y(resonance.)45 b(F)-8 b(or)31 b(initial-state)d(radiation,)i
31915 Fq(Q2UP\(0\))k Fw(should)e(b)s(e)g(ab)s(out)g(the)g(same)g(as)g(the)h
31916 Fj(Q)3507 4279 y Fl(2)3578 4315 y Fw(scale)0 4424 y(used)h(for)e(the)h
31917 (ev)-5 b(aluation)31 b(of)h(parton)h(distributions)e(for)h(the)h(hard)g
31918 (pro)s(cess,)h(up)f(to)f(some)h(factor)f(of)0 4532 y(order)k(unit)m(y)
31919 -8 b(.)55 b(\(One)36 b(frequen)m(t)i(c)m(hoice)e(for)g(this)g(factor)g
31920 (w)m(ould)g(b)s(e)g(4,)h(if)e(y)m(our)i(parton-distribution)0
31921 4640 y(scale)c(is)g(something)g(lik)m(e)f(the)i(squared)h(transv)m
31922 (erse)g(momen)m(tum,)e(simply)f(b)s(ecause)i Fj(m)3273
31923 4604 y Fl(2)3347 4640 y Fw(is)e(of)h(order)0 4749 y(4)p
31924 Fj(p)98 4712 y Fl(2)98 4773 y Fk(?)157 4749 y Fw(.\))146
31925 4857 y(The)44 b(`parton'-sho)m(w)m(er)f(ev)m(olution)e(actually)g(also)
31926 h(can)g(include)g(photon)g(emission)f(o\013)h(quarks)0
31927 4965 y(and)34 b(leptons,)f(if)g(the)h(sho)m(w)m(er)h(switc)m(hes)g(are)
31928 e(prop)s(erly)h(set.)47 b(It)33 b(is)g(not)h(p)s(ossible)e(to)h
31929 (de\014ne)i(only)e(one)0 5074 y(particle)i(in)g(the)i(ab)s(o)m(v)m(e)g
31930 (arra)m(ys,)g(since)g(it)e(w)m(ould)h(then)h(not)f(b)s(e)g(p)s(ossible)
31931 f(to)h(conserv)m(e)i(energy)f(and)0 5182 y(momen)m(tum)d(in)g(the)h
31932 (sho)m(w)m(er.)52 b(Y)-8 b(ou)35 b(can)g(v)m(ery)i(w)m(ell)d(ha)m(v)m
31933 (e)i(a)f(pair)f(where)i(only)f(one)g(of)f(the)i(t)m(w)m(o)f(can)0
31934 5290 y(branc)m(h,)43 b(ho)m(w)m(ev)m(er.)67 b(F)-8 b(or)40
31935 b(instance,)i(in)d(a)g(g)q Fj(\015)45 b Fw(\014nal)39
31936 b(state,)k(only)c(the)h(gluon)f(can)h(sho)m(w)m(er,)k(but)c(the)0
31937 5399 y(photon)g(can)g(lose)g(energy)h(to)f(the)g(gluon)f(in)g(suc)m(h)j
31938 (a)d(w)m(a)m(y)i(that)f(the)h(gluon)e(branc)m(hings)h(b)s(ecomes)0
31939 5507 y(p)s(ossible.)146 5615 y(Curren)m(tly)-8 b(,)25
31940 b(it)d(is)g(not)g(p)s(ossible)f(to)h(do)g(sho)m(w)m(ering)h(where)h
31941 (three)f(or)f(more)g(\014nal-state)f(particles)g(are)1817
31942 5953 y(172)p eop
31943 %%Page: 173 179
31944 173 178 bop 0 -18 a Fw(in)m(v)m(olv)m(ed)27 b(at)f(the)h(same)f(time.)
31945 40 b(This)27 b(ma)m(y)f(b)s(e)h(added)g(at)f(a)g(later)g(stage.)41
31946 b(It)27 b(is)f(therefore)h(necessary)i(to)0 90 y(sub)s(divide)34
31947 b(suitably)f(in)m(to)h(pairs,)f(and)i(ma)m(yb)s(e)f(lea)m(v)m(e)g(some)
31948 g(\(esp)s(ecially)f(colour-neutral\))f(particles)0 198
31949 y(unsho)m(w)m(ered.)146 307 y(Y)-8 b(ou)43 b(are)g(free)g(to)g(mak)m(e)
31950 g(use)h(of)e(whatev)m(er)j(to)s(ols)c(y)m(ou)j(w)m(an)m(t)f(in)g(y)m
31951 (our)g Fq(PYUPEV)h Fw(routine,)h(and)0 415 y(normally)30
31952 b(there)i(w)m(ould)g(b)s(e)g(no)g(con)m(tact)h(with)e(the)i(rest)f(of)
31953 39 b Fm(Pythia)p Fw(,)32 b(except)i(as)e(describ)s(ed)h(ab)s(o)m(v)m
31954 (e.)0 523 y(Ho)m(w)m(ev)m(er,)c(y)m(ou)c(ma)m(y)f(w)m(an)m(t)h(to)f
31955 (use)i(some)e(of)g(the)h(to)s(ols)e(already)h(a)m(v)-5
31956 b(ailable.)39 b(One)25 b(attractiv)m(e)f(p)s(ossibil-)0
31957 632 y(it)m(y)g(is)f(to)h(use)h Fq(PYSTFU)g Fw(for)f
31958 (parton-distribution-function)c(ev)-5 b(aluation.)39
31959 b(Other)24 b(p)s(ossible)f(to)s(ols)g(could)0 740 y(b)s(e)38
31960 b Fq(RLU)g Fw(for)f(random-n)m(um)m(b)s(er)g(generation,)h
31961 Fq(ULALPS)h Fw(for)e Fj(\013)2272 755 y Fl(s)2342 740
31962 y Fw(ev)-5 b(aluation,)37 b Fq(ULALEM)i Fw(for)e(ev)-5
31963 b(aluation)0 848 y(of)32 b(a)g(running)g Fj(\013)617
31964 863 y Fl(em)712 848 y Fw(,)g(and)h(ma)m(yb)s(e)g(a)f(few)h(more.)146
31965 957 y(W)-8 b(e)35 b(end)h(with)e(a)g(few)i(commen)m(ts)e(on)h
31966 (anomalous)e(situations.)49 b(In)35 b(some)f(cases)i(one)f(ma)m(y)g(w)m
31967 (an)m(t)0 1065 y(to)k(decide,)j(inside)c Fq(PYUPEV)p
31968 Fw(,)j(when)g(to)e(stop)h(the)f(ev)m(en)m(t-generation)h(lo)s(op.)63
31969 b(This)39 b(is)g(the)h(case,)i(for)0 1173 y(instance,)32
31970 b(if)e(ev)m(en)m(t)k(con\014gurations)d(are)g(read)h(in)f(from)f(a)h
31971 (\014le,)g(and)h(the)g(end)g(of)f(the)h(\014le)f(is)g(reac)m(hed.)0
31972 1282 y(One)e(migh)m(t)e(b)s(e)i(tempted)f(just)h(to)f(put)h
31973 Fq(SIGEV=0)i Fw(when)e(this)f(happ)s(ens.)44 b(Then)29
31974 b Fq(PYEVNT)h Fw(will)c(discard)0 1390 y(the)31 b(ev)m(en)m(t,)i(as)d
31975 (part)g(of)g(the)h(matrix-elemen)m(t-w)m(eigh)m(ting)d(pro)s(cedure.)43
31976 b(Ho)m(w)m(ev)m(er,)33 b(next)f Fq(PYEVNT)g Fw(will)0
31977 1498 y(generate)h(another)f(ev)m(en)m(t,)i(whic)m(h)f(normally)c(means)
31978 j(a)g(new)h(request)h(to)e Fq(PYUPEV)p Fw(,)h(so)g(one)f(do)s(es)h(not)
31979 0 1607 y(really)e(get)i(out)f(of)h(the)g(lo)s(op.)42
31980 b(Instead)34 b(y)m(ou)f(should)f(put)h Fq(NUP=0)p Fw(.)45
31981 b(If)33 b(the)g(program)e(encoun)m(ters)k(this)0 1715
31982 y(v)-5 b(alue)34 b(at)g(a)h(return)g(from)e Fq(PYUPEV)p
31983 Fw(,)j(then)g(it)d(will)g(also)g(exit)i(from)e Fq(PYEVNT)p
31984 Fw(,)j(without)e(incremen)m(ting)0 1823 y(the)f(coun)m(ters)h(for)e
31985 (the)h(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(generated.)45
31986 b(It)32 b(is)g(then)i(up)f(to)f(y)m(ou)h(to)f(ha)m(v)m(e)i(a)f(c)m(hec)
31987 m(k)i(on)0 1932 y(this)f(condition)f(in)g(y)m(our)i(main)d(ev)m(en)m
31988 (t-generation)j(lo)s(op.)47 b(This)35 b(y)m(ou)g(do)f(either)g(b)m(y)h
31989 (lo)s(oking)d(at)i Fq(NUP)0 2040 y Fw(or)e(at)g Fq(MSTI\(51\))p
31990 Fw(;)j(the)e(latter)f(is)g(set)h(to)f(1)h(if)e(no)i(ev)m(en)m(t)h(w)m
31991 (as)f(generated.)146 2148 y(It)27 b(ma)m(y)f(also)f(happ)s(en)i(that)f
31992 (a)g(user-de\014ned)i(con\014guration)d(fails)g(elsewhere)i(in)f(the)g
31993 Fq(PYEVNT)i Fw(call.)0 2257 y(F)-8 b(or)39 b(instance,)j(the)f(b)s
31994 (eam-remnan)m(t)e(treatmen)m(t)h(o)s(ccasionally)d(encoun)m(ters)42
31995 b(situations)d(it)g(cannot)0 2365 y(handle,)29 b(wherefore)f(the)g
31996 (hard)g(in)m(teraction)f(is)g(rejected)i(and)f(a)f(new)i(one)f
31997 (generated.)43 b(This)27 b(happ)s(ens)0 2473 y(also)35
31998 b(with)h(ordinary)g(\(not)g(user-de\014ned\))i(ev)m(en)m(ts,)h(and)e
31999 (usually)e(comes)h(ab)s(out)g(as)h(a)e(consequence)0
32000 2582 y(of)47 b(the)h(initial-state)c(radiation)h(description)i(lea)m
32001 (ving)g(to)s(o)g(little)e(energy)j(for)f(the)h(remnan)m(t.)89
32002 b(If)0 2690 y(the)39 b(same)f(hard)g(scattering)g(w)m(ere)h(to)f(b)s(e)
32003 g(used)i(as)e(input)g(for)f(a)h(new)h(initial-state)c(radiation)g(and)0
32004 2798 y(b)s(eam-remnan)m(t)29 b(attempt,)h(it)f(could)h(then)g(w)m(ork)h
32005 (\014ne.)44 b(There)31 b(is)f(a)f(p)s(ossibilit)m(y)f(to)i(giv)m(e)g
32006 (ev)m(en)m(ts)j(that)0 2907 y(c)m(hance,)h(as)e(follo)m(ws.)42
32007 b Fq(MSTI\(52\))34 b Fw(coun)m(ts)g(the)e(n)m(um)m(b)s(er)h(of)f(times)
32008 f(a)h(hard-scattering)f(con\014guration)0 3015 y(has)39
32009 b(failed)e(to)h(date.)61 b(If)38 b(y)m(ou)h(come)g(in)e(to)h
32010 Fq(PYUPEV)i Fw(with)e Fq(MSTI\(52\))j Fw(non-v)-5 b(anishing,)38
32011 b(this)g(means)0 3123 y(that)31 b(the)i(latest)e(con\014guration)g
32012 (failed.)41 b(So)32 b(long)e(as)i(the)g(con)m(ten)m(ts)i(of)d(the)h
32013 Fq(PYUPPR)h Fw(common)e(blo)s(c)m(k)0 3232 y(are)i(not)f(c)m(hanged,)i
32014 (suc)m(h)g(an)e(ev)m(en)m(t)j(ma)m(y)d(b)s(e)h(giv)m(en)g(another)f
32015 (try)-8 b(.)44 b(F)-8 b(or)32 b(instance,)h(a)f(line)308
32016 3415 y Fq(IF\(MSTI\(52\).GE.1.AND.MSTI\()q(52\).)q(LE.4)q(\))57
32017 b(RETURN)0 3599 y Fw(at)42 b(the)h(b)s(eginning)f(of)49
32018 b Fq(PYUPEV)44 b Fw(will)c(giv)m(e)j(eac)m(h)h(ev)m(en)m(t)g(up)f(to)f
32019 (\014v)m(e)i(tries;)k(thereafter)43 b(a)g(new)g(one)0
32020 3707 y(w)m(ould)33 b(b)s(e)h(generated)g(as)g(usual.)45
32021 b(Note)34 b(that)f(the)h(coun)m(ter)g(for)f(the)h(n)m(um)m(b)s(er)f(of)
32022 g(ev)m(en)m(ts)j(is)d(up)s(dated)0 3816 y(at)k(eac)m(h)g(new)h(try)-8
32023 b(.)57 b(The)37 b(fraction)f(of)g(failed)g(con\014gurations)g(is)g(giv)
32024 m(en)h(in)f(the)i(b)s(ottom)d(line)h(of)g(the)0 3924
32025 y Fq(PYSTAT\(1\))f Fw(table.)146 4032 y(The)d(ab)s(o)m(v)m(e)f(commen)m
32026 (t)e(only)h(refers)h(to)f(v)m(ery)i(rare)e(o)s(ccurrences)i(\(less)f
32027 (than)f(one)g(in)g(a)g(h)m(undred\),)0 4141 y(whic)m(h)d(are)f(not)g
32028 (errors)g(in)g(a)f(strict)h(sense;)k(for)c(instance,)i(they)f(do)f(not)
32029 g(pro)s(duce)h(an)m(y)g(error)f(messages)0 4249 y(on)j(output.)42
32030 b(If)29 b(y)m(ou)g(get)g(w)m(arnings)g(and)g(error)g(messages)h(that)e
32031 (the)i(program)d(do)s(es)i(not)g(understand)0 4357 y(the)34
32032 b(\015a)m(v)m(our)h(co)s(des)g(or)f(cannot)g(reconstruct)h(the)g
32033 (colour)e(\015o)m(ws,)i(it)e(is)h(due)g(to)g(faults)f(of)h(y)m(ours,)h
32034 (and)0 4466 y(giving)c(suc)m(h)j(ev)m(en)m(ts)h(more)d(tries)g(is)g
32035 (not)h(going)e(to)h(help.)0 4738 y Fp(9.6)135 b(Ho)l(w)46
32036 b(to)f(run)g(PYTHIA)e(with)j(v)-7 b(arying)45 b(energies)0
32037 4911 y Fw(It)31 b(is)f(p)s(ossible)g(to)h(use)h Fm(Pythia)f
32038 Fw(in)f(a)g(mo)s(de)g(where)i(the)f(energy)h(can)f(b)s(e)g(v)-5
32039 b(aried)31 b(from)e(one)i(ev)m(en)m(t)i(to)0 5019 y(the)27
32040 b(next,)j(without)c(the)i(need)g(to)e(reinitialize)e(with)j(a)f(new)k
32041 Fq(PYINIT)e Fw(call.)40 b(This)27 b(allo)m(ws)f(a)h(signi\014can)m(t)0
32042 5128 y(sp)s(eed-up)35 b(of)f(execution,)h(although)e(it)f(is)i(not)g
32043 (as)g(fast)g(as)g(running)f(at)h(a)g(\014xed)h(energy)-8
32044 b(.)48 b(It)34 b(can)h(not)0 5236 y(b)s(e)i(used)i(for)d(ev)m(erything)
32045 j(|)d(w)m(e)j(will)34 b(come)j(to)g(the)h(\014ne)g(prin)m(t)f(at)f(the)
32046 i(end)g(|)f(but)g(it)f(should)h(b)s(e)0 5344 y(applicable)31
32047 b(for)h(most)g(tasks.)146 5453 y(The)46 b(master)f(switc)m(h)g(to)g
32048 (access)h(this)f(p)s(ossibilit)m(y)d(is)j(in)f Fq(MSTP\(171\))p
32049 Fw(.)82 b(By)46 b(default)e(it)f(is)i(o\013,)0 5561 y(so)36
32050 b(y)m(ou)g(m)m(ust)f(set)h Fq(MSTP\(171\)=1)j Fw(b)s(efore)c
32051 (initialization.)47 b(There)36 b(are)g(t)m(w)m(o)g(submo)s(des)g(of)f
32052 (running,)0 5669 y(with)c Fq(MSTP\(172\))k Fw(b)s(eing)c(1)g(or)h(2.)43
32053 b(In)32 b(the)g(former)f(mo)s(de,)g Fm(Pythia)h Fw(will)e(generate)i
32054 (an)g(ev)m(en)m(t)i(at)d(the)1817 5953 y(173)p eop
32055 %%Page: 174 180
32056 174 179 bop 0 -18 a Fw(requested)33 b(energy)-8 b(.)43
32057 b(This)31 b(means)f(that)h(y)m(ou)g(ha)m(v)m(e)g(to)g(kno)m(w)g(whic)m
32058 (h)g(energy)h(y)m(ou)f(w)m(an)m(t)g(b)s(eforehand.)0
32059 90 y(In)h(the)h(latter)e(mo)s(de,)g Fm(Pythia)h Fw(will)e(often)i
32060 (return)h(without)e(ha)m(ving)h(generated)h(an)f(ev)m(en)m(t)h(|)f
32061 (with)0 198 y(\015ag)i Fq(MSTI\(61\)=1)h Fw(to)e(signal)e(that)i(|)f
32062 (and)h(y)m(ou)g(are)g(then)h(requested)h(to)d(giv)m(e)h(a)g(new)g
32063 (energy)-8 b(.)46 b(The)0 307 y(energy)37 b(sp)s(ectrum)f(of)f
32064 (accepted)i(ev)m(en)m(ts)h(will)33 b(then,)k(in)e(the)h(end,)h(b)s(e)f
32065 (y)m(our)g(naiv)m(e)g(input)f(sp)s(ectrum)0 415 y(w)m(eigh)m(ted)e
32066 (with)g(the)g(cross-section)g(of)f(the)h(pro)s(cesses)i(y)m(ou)e(study)
32067 -8 b(.)45 b(W)-8 b(e)32 b(will)f(come)h(bac)m(k)i(to)e(this.)146
32068 523 y(The)43 b(energy)h(can)e(b)s(e)g(v)-5 b(aried,)44
32069 b(whic)m(hev)m(er)g(frame)d(is)h(giv)m(en)g(in)g(the)g
32070 Fq(PYINIT)i Fw(call.)70 b(When)43 b(the)0 632 y(frame)34
32071 b(is)h Fq('CMS')p Fw(,)i Fq(PARP\(171\))h Fw(should)d(b)s(e)g(\014lled)
32072 g(with)g(the)g(fractional)e(energy)k(of)e(eac)m(h)h(ev)m(en)m(t,)i
32073 (i.e.)0 740 y Fj(E)72 755 y Fl(cm)202 740 y Fw(=)p Fq(PARP\(171\))p
32074 Fn(\002)p Fq(WIN)p Fw(,)j(where)d Fq(WIN)g Fw(is)f(the)g(nominal)e
32075 (c.m.)57 b(energy)38 b(of)f(the)g Fq(PYINIT)i Fw(call.)56
32076 b(Here)0 848 y Fq(PARP\(171\))29 b Fw(should)e(normally)d(b)s(e)j
32077 (smaller)e(than)i(unit)m(y)-8 b(,)28 b(i.e.)41 b(initialization)21
32078 b(should)26 b(b)s(e)h(done)h(at)e(the)0 957 y(maxim)m(um)34
32079 b(energy)j(to)f(b)s(e)h(encoun)m(tered.)56 b(F)-8 b(or)36
32080 b(the)g Fq('FIXT')i Fw(frame,)e Fq(PARP\(171\))j Fw(should)d(b)s(e)h
32081 (\014lled)0 1065 y(b)m(y)c(the)f(fractional)e(b)s(eam)h(energy)i(of)e
32082 (that)h(one,)g(i.e.)43 b Fj(E)2077 1080 y Fl(b)r(eam)2276
32083 1065 y Fw(=)p Fq(PARP\(171\))p Fn(\002)p Fq(WIN)p Fw(.)35
32084 b(F)-8 b(or)31 b(the)i Fq('USER')p Fw(,)0 1173 y Fq('FOUR')28
32085 b Fw(and)e Fq('FIVE')i Fw(options,)g(the)e(t)m(w)m(o)i(four-momen)m(ta)
32086 c(are)i(giv)m(en)h(in)f(for)g(eac)m(h)h(ev)m(en)m(t)h(in)e(the)h(same)0
32087 1282 y(format)34 b(as)i(used)h(for)e(the)h Fq(PYINIT)h
32088 Fw(call.)51 b(Note)36 b(that)g(there)g(is)f(a)h(minim)m(um)c(c.m.)52
32089 b(energy)37 b(allo)m(w)m(ed,)0 1390 y Fq(PARP\(2\))p
32090 Fw(.)61 b(If)38 b(y)m(ou)g(giv)m(e)g(in)f(v)-5 b(alues)38
32091 b(b)s(elo)m(w)f(this,)i(the)f(program)f(will)e(stop)j(for)f
32092 Fq(MSTP\(172\)=1)p Fw(,)42 b(and)0 1498 y(will)30 b(return)j(with)g
32093 Fq(MSTI\(61\)=1)i Fw(for)d Fq(MSTP\(172\)=1)p Fw(.)146
32094 1607 y(T)-8 b(o)35 b(illustrate)e(the)i(use)g(of)g(the)g
32095 Fq(MSTP\(172\)=2)i Fw(facilit)m(y)-8 b(,)34 b(consider)h(the)g(case)g
32096 (of)g(b)s(eamstrahlung)0 1715 y(in)e(e)158 1679 y Fl(+)217
32097 1715 y Fw(e)260 1679 y Fk(\000)354 1715 y Fw(linear)f(colliders.)45
32098 b(This)34 b(is)f(just)i(for)e(con)m(v)m(enience;)k(what)d(is)f(said)g
32099 (here)i(can)f(b)s(e)g(translated)0 1823 y(easily)h(in)m(to)h(other)g
32100 (situations.)53 b(Assume)36 b(that)g(the)h(b)s(eam)e(sp)s(ectrum)i(is)e
32101 (giv)m(en)h(b)m(y)h Fj(D)s Fw(\()p Fj(z)t Fw(\),)g(where)h
32102 Fj(z)0 1932 y Fw(is)d(the)h(fraction)f(retained)g(b)m(y)i(the)f
32103 (original)c(e)k(after)g(b)s(eamstrahlung.)52 b(Therefore)36
32104 b(0)d Fn(\024)h Fj(z)j Fn(\024)d Fw(1)h(and)0 2040 y(the)e(in)m(tegral)
32105 e(of)h Fj(D)s Fw(\()p Fj(z)t Fw(\))h(is)f(unit)m(y)-8
32106 b(.)43 b(This)33 b(is)f(not)g(p)s(erfectly)h(general;)f(one)h(could)f
32107 (imagine)e(branc)m(hings)0 2148 y(e)43 2112 y Fk(\000)130
32108 2148 y Fn(!)d Fw(e)300 2112 y Fk(\000)360 2148 y Fj(\015)32
32109 b Fn(!)c Fw(e)614 2112 y Fk(\000)673 2148 y Fw(e)716
32110 2112 y Fl(+)776 2148 y Fw(e)819 2112 y Fk(\000)878 2148
32111 y Fw(,)k(whic)m(h)f(giv)m(es)h(a)f(m)m(ultiplication)c(in)j(the)i(n)m
32112 (um)m(b)s(er)g(of)e(b)s(eam)h(particles.)42 b(This)0
32113 2257 y(could)35 b(either)g(b)s(e)h(expressed)i(in)d(terms)g(of)g(a)g
32114 Fj(D)s Fw(\()p Fj(z)t Fw(\))h(with)f(in)m(tegral)f(larger)g(than)h
32115 (unit)m(y)h(or)f(in)g(terms)0 2365 y(of)30 b(an)f(increased)i
32116 (luminosit)m(y)-8 b(.)41 b(W)-8 b(e)30 b(will)e(assume)i(the)h(latter,)
32117 e(and)h(use)h Fj(D)s Fw(\()p Fj(z)t Fw(\))g(prop)s(erly)e(normalized.)0
32118 2473 y(Giv)m(en)39 b(a)g(nominal)d Fj(s)j Fw(=)g(4)p
32119 Fj(E)1084 2437 y Fl(2)1078 2498 y(b)r(eam)1249 2473 y
32120 Fw(,)h(the)g(actual)e Fj(s)1836 2437 y Fk(0)1898 2473
32121 y Fw(after)h(b)s(eamstrahlung)f(is)h(giv)m(en)g(b)m(y)h
32122 Fj(s)3360 2437 y Fk(0)3422 2473 y Fw(=)f Fj(z)3582 2488
32123 y Fl(1)3622 2473 y Fj(z)3667 2488 y Fl(2)3706 2473 y
32124 Fj(s)p Fw(.)0 2582 y(F)-8 b(or)32 b(a)g(pro)s(cess)i(with)e(a)g(cross)i
32125 (section)f Fj(\033)t Fw(\()p Fj(s)p Fw(\))f(the)h(total)e(cross)j
32126 (section)e(is)g(then)997 2848 y Fj(\033)1052 2863 y Fl(tot)1174
32127 2848 y Fw(=)1278 2731 y Fg(Z)1361 2757 y Fl(1)1324 2920
32128 y(0)1417 2731 y Fg(Z)1500 2757 y Fl(1)1463 2920 y(0)1556
32129 2848 y Fj(D)s Fw(\()p Fj(z)1723 2863 y Fl(1)1763 2848
32130 y Fw(\))17 b Fj(D)s Fw(\()p Fj(z)1985 2863 y Fl(2)2023
32131 2848 y Fw(\))p Fj(\033)t Fw(\()p Fj(z)2203 2863 y Fl(1)2243
32132 2848 y Fj(z)2288 2863 y Fl(2)2328 2848 y Fj(s)p Fw(\))g(d)p
32133 Fj(z)2528 2863 y Fl(1)2584 2848 y Fw(d)p Fj(z)2683 2863
32134 y Fl(2)2755 2848 y Fj(:)775 b Fw(\(121\))0 3097 y(The)35
32135 b(cross)g(section)f Fj(\033)k Fw(ma)m(y)33 b(in)g(itself)g(b)s(e)h(an)g
32136 (in)m(tegral)e(o)m(v)m(er)j(a)f(n)m(um)m(b)s(er)g(of)g(additional)d
32137 (phase)j(space)0 3205 y(v)-5 b(ariables.)47 b(If)34 b(the)h(maxim)m(um)
32138 c(of)j(the)h(di\013eren)m(tial)d(cross)j(section)f(is)g(kno)m(wn,)i(a)e
32139 (correct)h(pro)s(cedure)0 3314 y(to)d(generate)h(ev)m(en)m(ts)i(is)119
32140 3427 y(1.)49 b(pic)m(k)33 b Fj(z)495 3442 y Fl(1)567
32141 3427 y Fw(and)g Fj(z)802 3442 y Fl(2)874 3427 y Fw(according)f(to)g
32142 Fj(D)s Fw(\()p Fj(z)1599 3442 y Fl(1)1639 3427 y Fw(\))17
32143 b(d)p Fj(z)1793 3442 y Fl(1)1865 3427 y Fw(and)32 b Fj(D)s
32144 Fw(\()p Fj(z)2221 3442 y Fl(2)2261 3427 y Fw(\))17 b(d)p
32145 Fj(z)2415 3442 y Fl(2)2454 3427 y Fw(,)33 b(resp)s(ectiv)m(ely;)119
32146 3544 y(2.)49 b(pic)m(k)33 b(a)f(set)h(of)f(phase)i(space)g(v)-5
32147 b(ariables)31 b(of)h(the)h(pro)s(cess,)h(for)e(the)h(giv)m(en)g
32148 Fj(s)2995 3508 y Fk(0)3050 3544 y Fw(of)g(the)g(ev)m(en)m(t;)119
32149 3662 y(3.)49 b(ev)-5 b(aluate)32 b Fj(\033)t Fw(\()p
32150 Fj(s)769 3626 y Fk(0)792 3662 y Fw(\))h(and)f(compare)g(with)h
32151 Fj(\033)1720 3677 y Fl(max)1856 3662 y Fw(;)119 3780
32152 y(4.)49 b(if)31 b(ev)m(en)m(t)k(is)d(rejected,)i(then)f(return)g(to)f
32153 (step)i(1)e(to)g(generate)h(new)h(v)-5 b(ariables;)119
32154 3898 y(5.)49 b(else)33 b(con)m(tin)m(ue)g(the)g(generation)f(to)g(giv)m
32155 (e)h(a)f(complete)g(ev)m(en)m(t.)0 4011 y(Y)-8 b(ou)39
32156 b(as)g(a)g(user)h(are)e(assumed)i(to)f(tak)m(e)g(care)h(of)e(step)i(1,)
32157 g(and)g(presen)m(t)g(the)g(resulting)d(kinematics)0 4119
32158 y(with)h(incoming)e(e)694 4083 y Fl(+)792 4119 y Fw(and)i(e)1030
32159 4083 y Fk(\000)1128 4119 y Fw(of)g(v)-5 b(arying)38 b(energy)-8
32160 b(.)62 b(Thereafter)39 b Fm(Pythia)g Fw(will)d(do)i(steps)i(2{5,)f(and)
32161 0 4228 y(either)32 b(return)h(an)g(ev)m(en)m(t)h(or)f(put)f
32162 Fq(MSTI\(61\)=1)k Fw(to)c(signal)f(failure)g(in)g(step)j(4.)146
32163 4336 y(The)g(maximization)29 b(pro)s(cedure)34 b(do)s(es)g(searc)m(h)g
32164 (in)e(phase)i(space)h(to)d(\014nd)i Fj(\033)2945 4351
32165 y Fl(max)3081 4336 y Fw(,)f(but)g(it)f(do)s(es)i(not)0
32166 4444 y(v)-5 b(ary)43 b(the)h Fj(s)452 4408 y Fk(0)519
32167 4444 y Fw(energy)g(in)e(this)h(pro)s(cess.)77 b(Therefore)44
32168 b(the)g(maxim)m(um)d(searc)m(h)j(in)f(the)g Fq(PYINIT)i
32169 Fw(call)0 4553 y(should)f(b)s(e)h(p)s(erformed)e(where)j(the)e(cross)i
32170 (section)e(is)g(largest.)78 b(F)-8 b(or)43 b(pro)s(cesses)j(with)e
32171 (increasing)0 4661 y(cross)c(section)f(as)h(a)e(function)h(of)g(energy)
32172 h(this)e(means)h(at)g(the)h(largest)e(energy)i(that)f(will)e(ev)m(er)j
32173 (b)s(e)0 4769 y(encoun)m(tered,)46 b(i.e.)71 b Fj(s)825
32174 4733 y Fk(0)892 4769 y Fw(=)43 b Fj(s)f Fw(in)f(the)h(case)h(ab)s(o)m
32175 (v)m(e.)72 b(This)42 b(is)f(the)i(`standard')f(case,)j(but)d(often)g
32176 (one)0 4878 y(encoun)m(ters)c(other)e(b)s(eha)m(viours,)i(where)f(more)
32177 f(complicated)e(pro)s(cedures)k(are)e(needed.)56 b(One)36
32178 b(suc)m(h)0 4986 y(case)i(w)m(ould)e(b)s(e)h(the)g(pro)s(cess)h(e)1195
32179 4950 y Fl(+)1255 4986 y Fw(e)1298 4950 y Fk(\000)1392
32180 4986 y Fn(!)c Fw(Z)1586 4950 y Fk(\003)p Fl(0)1695 4986
32181 y Fn(!)h Fw(Z)1890 4950 y Fl(0)1929 4986 y Fw(H)2002
32182 4950 y Fl(0)2041 4986 y Fw(,)j(whic)m(h)f(is)g(kno)m(wn)h(to)e(ha)m(v)m
32183 (e)i(a)f(cross)g(section)0 5094 y(that)e(increases)g(near)g(the)h
32184 (threshold)e(but)h(is)g(decreasing)g(asymptotically)-8
32185 b(.)48 b(If)34 b(one)i(already)e(kno)m(ws)0 5203 y(that)39
32186 b(the)g(maxim)m(um,)f(for)h(a)f(giv)m(en)i(Higgs)e(mass,)i(app)s(ears)g
32187 (at)e(300)g(GeV,)h(sa)m(y)-8 b(,)42 b(then)e(the)f Fq(PYINIT)0
32188 5311 y Fw(call)31 b(should)i(b)s(e)h(made)e(with)h(that)g(energy)-8
32189 b(,)34 b(ev)m(en)h(if)d(subsequen)m(tly)k(one)d(will)e(b)s(e)j
32190 (generating)e(ev)m(en)m(ts)0 5419 y(for)g(a)g(500)g(GeV)h(collider.)146
32191 5528 y(In)46 b(general,)h(it)d(ma)m(y)h(b)s(e)g(necessary)i(to)e(mo)s
32192 (dify)e(the)j(selection)e(of)h Fj(z)2812 5543 y Fl(1)2896
32193 5528 y Fw(and)g Fj(z)3143 5543 y Fl(2)3228 5528 y Fw(and)g(assign)g(a)0
32194 5636 y(comp)s(ensating)25 b(ev)m(en)m(t)j(w)m(eigh)m(t.)41
32195 b(F)-8 b(or)26 b(instance,)h(consider)f(a)g(pro)s(cess)h(with)f(a)f
32196 (cross)i(section)f(b)s(eha)m(ving)1817 5953 y(174)p eop
32197 %%Page: 175 181
32198 175 180 bop 0 -18 a Fw(roughly)32 b(lik)m(e)g(1)p Fj(=s)p
32199 Fw(.)43 b(Then)33 b(the)g Fj(\033)1225 -3 y Fl(tot)1353
32200 -18 y Fw(expression)h(ab)s(o)m(v)m(e)f(ma)m(y)f(b)s(e)h(rewritten)g(as)
32201 884 250 y Fj(\033)939 265 y Fl(tot)1062 250 y Fw(=)1165
32202 133 y Fg(Z)1248 159 y Fl(1)1211 321 y(0)1304 133 y Fg(Z)1387
32203 159 y Fl(1)1350 321 y(0)1453 183 y Fj(D)s Fw(\()p Fj(z)1620
32204 198 y Fl(1)1660 183 y Fw(\))p 1453 227 245 4 v 1533 318
32205 a Fj(z)1578 333 y Fl(1)1734 183 y Fj(D)s Fw(\()p Fj(z)1901
32206 198 y Fl(2)1940 183 y Fw(\))p 1734 227 V 1814 318 a Fj(z)1859
32207 333 y Fl(2)2005 250 y Fj(z)2050 265 y Fl(1)2090 250 y
32208 Fj(z)2135 265 y Fl(2)2174 250 y Fj(\033)t Fw(\()p Fj(z)2316
32209 265 y Fl(1)2356 250 y Fj(z)2401 265 y Fl(2)2441 250 y
32210 Fj(s)p Fw(\))17 b(d)p Fj(z)2641 265 y Fl(1)2697 250 y
32211 Fw(d)p Fj(z)2796 265 y Fl(2)2868 250 y Fj(:)662 b Fw(\(122\))0
32212 509 y(The)37 b(expression)h Fj(z)723 524 y Fl(1)763 509
32213 y Fj(z)808 524 y Fl(2)847 509 y Fj(\033)t Fw(\()p Fj(s)990
32214 473 y Fk(0)1013 509 y Fw(\))f(is)e(no)m(w)i(essen)m(tially)f(\015at)g
32215 (in)g Fj(s)2208 473 y Fk(0)2231 509 y Fw(,)h(i.e.)54
32216 b(not)37 b(only)e(can)i Fj(\033)3107 524 y Fl(max)3279
32217 509 y Fw(b)s(e)f(found)h(at)0 618 y(a)d(con)m(v)m(enien)m(t)j(energy)f
32218 (suc)m(h)g(as)f(the)g(maxim)m(um)d(one,)k(but)f(additionally)c(the)k
32219 Fm(Pythia)g Fw(generation)0 726 y(e\016ciency)e(\(the)f(lik)m(eliho)s
32220 (o)s(d)c(of)j(surviving)g(step)h(4\))f(is)g(greatly)g(enhanced.)45
32221 b(The)32 b(price)g(to)f(b)s(e)g(paid)g(is)0 834 y(that)j
32222 Fj(z)39 b Fw(has)34 b(to)g(b)s(e)g(selected)h(according)e(to)h
32223 Fj(D)s Fw(\()p Fj(z)t Fw(\))p Fj(=z)39 b Fw(rather)34
32224 b(than)g(according)g(to)f Fj(D)s Fw(\()p Fj(z)t Fw(\).)49
32225 b(Note)34 b(that)0 943 y Fj(D)s Fw(\()p Fj(z)t Fw(\))p
32226 Fj(=z)j Fw(is)32 b(not)h(normalized)d(to)j(unit)m(y)-8
32227 b(.)43 b(One)33 b(therefore)g(needs)h(to)f(de\014ne)1491
32228 1211 y Fn(I)1545 1226 y Fh(D)1637 1211 y Fw(=)1740 1094
32229 y Fg(Z)1823 1120 y Fl(1)1786 1283 y(0)1889 1144 y Fj(D)s
32230 Fw(\()p Fj(z)t Fw(\))p 1889 1188 210 4 v 1969 1279 a
32231 Fj(z)2125 1211 y Fw(d)p Fj(z)38 b(;)1268 b Fw(\(123\))0
32232 1453 y(and)33 b(a)f(prop)s(erly)g(normalized)1486 1623
32233 y Fj(D)1570 1582 y Fk(0)1593 1623 y Fw(\()p Fj(z)t Fw(\))c(=)1895
32234 1556 y(1)p 1860 1600 119 4 v 1860 1691 a Fn(I)1914 1706
32235 y Fh(D)2015 1556 y Fj(D)s Fw(\()p Fj(z)t Fw(\))p 2015
32236 1600 210 4 v 2094 1691 a Fj(z)2266 1623 y(:)1264 b Fw(\(124\))0
32237 1835 y(Then)813 1977 y Fj(\033)868 1992 y Fl(tot)991
32238 1977 y Fw(=)1094 1860 y Fg(Z)1177 1886 y Fl(1)1140 2048
32239 y(0)1233 1860 y Fg(Z)1316 1886 y Fl(1)1279 2048 y(0)1372
32240 1977 y Fj(D)1456 1936 y Fk(0)1479 1977 y Fw(\()p Fj(z)1562
32241 1992 y Fl(1)1602 1977 y Fw(\))17 b Fj(D)1741 1936 y Fk(0)1764
32242 1977 y Fw(\()p Fj(z)1847 1992 y Fl(2)1886 1977 y Fw(\))g
32243 Fn(I)2002 1936 y Fl(2)1995 2001 y Fh(D)2076 1977 y Fj(z)2121
32244 1992 y Fl(1)2160 1977 y Fj(z)2205 1992 y Fl(2)2245 1977
32245 y Fj(\033)t Fw(\()p Fj(z)2387 1992 y Fl(1)2427 1977 y
32246 Fj(z)2472 1992 y Fl(2)2512 1977 y Fj(s)p Fw(\))g(d)p
32247 Fj(z)2712 1992 y Fl(1)2768 1977 y Fw(d)p Fj(z)2867 1992
32248 y Fl(2)2939 1977 y Fj(:)591 b Fw(\(125\))0 2187 y(Therefore)46
32249 b(the)f(prop)s(er)g(ev)m(en)m(t)i(w)m(eigh)m(t)f(is)e
32250 Fn(I)1721 2151 y Fl(2)1714 2211 y Fh(D)1795 2187 y Fj(z)1840
32251 2202 y Fl(1)1880 2187 y Fj(z)1925 2202 y Fl(2)1964 2187
32252 y Fw(.)81 b(This)45 b(w)m(eigh)m(t)g(should)g(b)s(e)g(stored,)k(for)c
32253 (eac)m(h)0 2295 y(ev)m(en)m(t,)f(in)39 b Fq(PARP\(173\))p
32254 Fw(.)69 b(The)41 b(maxim)m(um)d(w)m(eigh)m(t)j(that)f(will)e(b)s(e)i
32255 (encoun)m(tered)i(should)e(b)s(e)h(stored)0 2403 y(in)g
32256 Fq(PARP\(174\))i Fw(b)s(efore)f(the)f Fq(PYINIT)i Fw(call,)f(and)g(not)
32257 f(c)m(hanged)h(afterw)m(ards.)71 b(It)41 b(is)g(not)g(necessary)0
32258 2512 y(to)j(kno)m(w)h(the)g(precise)g(maxim)m(um;)j(an)m(y)d(v)-5
32259 b(alue)43 b(larger)h(than)g(the)h(true)f(maxim)m(um)e(will)g(do,)47
32260 b(but)0 2620 y(the)37 b(ine\016ciency)g(will)d(b)s(e)j(larger)e(the)i
32261 (cruder)g(the)g(appro)m(ximation.)52 b(Additionally)34
32262 b(y)m(ou)j(m)m(ust)f(put)0 2728 y Fq(MSTP\(173\)=1)j
32263 Fw(for)c(the)h(program)e(to)i(mak)m(e)g(use)h(of)e(w)m(eigh)m(ts)h(at)g
32264 (all.)51 b(Often)36 b Fj(D)s Fw(\()p Fj(z)t Fw(\))g(are)g(not)f(kno)m
32265 (wn)0 2837 y(analytically;)26 b(therefore)g Fn(I)1005
32266 2852 y Fh(D)1096 2837 y Fw(is)g(also)f(not)h(kno)m(wn)i(b)s(eforehand,)
32267 g(but)f(ma)m(y)f(ha)m(v)m(e)h(to)f(b)s(e)h(ev)-5 b(aluated)26
32268 b(\(b)m(y)0 2945 y(y)m(ou\))i(during)f(the)h(course)g(of)f(the)h(run.)
32269 42 b(Then)29 b(y)m(ou)f(should)f(just)h(use)h(the)f(w)m(eigh)m(t)f
32270 Fj(z)3057 2960 y Fl(1)3097 2945 y Fj(z)3142 2960 y Fl(2)3209
32271 2945 y Fw(in)g Fq(PARP\(173\))0 3053 y Fw(and)33 b(do)g(the)g(o)m(v)m
32272 (erall)f(normalization)e(y)m(ourself)j(in)f(the)i(end.)45
32273 b(Since)33 b Fq(PARP\(174\)=1.)48 b Fw(b)m(y)34 b(default,)e(in)0
32274 3162 y(this)i(case)h(y)m(ou)f(need)h(not)f(set)h(this)f(v)-5
32275 b(ariable)32 b(sp)s(ecially)-8 b(.)46 b(Only)34 b(the)g(cross)h
32276 (sections)g(are)f(a\013ected)h(b)m(y)0 3270 y(the)g(pro)s(cedure)h
32277 (selected)g(for)f(o)m(v)m(erall)f(normalization,)d(the)36
32278 b(ev)m(en)m(ts)h(themselv)m(es)f(still)d(are)i(prop)s(erly)0
32279 3379 y(distributed)d(in)g Fj(s)659 3342 y Fk(0)715 3379
32280 y Fw(and)g(in)m(ternal)g(phase)h(space.)146 3487 y(Ab)s(o)m(v)m(e)48
32281 b(it)d(has)h(b)s(een)h(assumed)g(tacitly)e(that)h Fj(D)s
32282 Fw(\()p Fj(z)t Fw(\))51 b Fn(!)f Fw(0)c(for)g Fj(z)55
32283 b Fn(!)c Fw(0.)83 b(If)47 b(not,)i Fj(D)s Fw(\()p Fj(z)t
32284 Fw(\))p Fj(=z)i Fw(is)0 3595 y(div)m(ergen)m(t,)37 b(and)f(it)e(is)h
32285 (not)h(p)s(ossible)f(to)g(de\014ne)i(a)e(prop)s(erly)g(normalized)f
32286 Fj(D)2867 3559 y Fk(0)2889 3595 y Fw(\()p Fj(z)t Fw(\))g(=)e
32287 Fj(D)s Fw(\()p Fj(z)t Fw(\))p Fj(=z)t Fw(.)54 b(If)35
32288 b(the)0 3704 y(cross)43 b(section)e(is)g(truly)h(div)m(erging)e(lik)m
32289 (e)h(1)p Fj(=s)p Fw(,)j(then)e(a)f Fj(D)s Fw(\()p Fj(z)t
32290 Fw(\))h(whic)m(h)g(is)f(non)m(v)-5 b(anishing)41 b(for)g
32291 Fj(z)48 b Fn(!)43 b Fw(0)0 3812 y(do)s(es)36 b(imply)d(an)i(in\014nite)
32292 f(total)f(cross)k(section,)e(whic)m(hev)m(er)j(w)m(a)m(y)e(things)f
32293 (are)g(considered.)52 b(In)35 b(cases)0 3920 y(lik)m(e)i(that,)h(it)e
32294 (is)h(necessary)j(to)d(imp)s(ose)f(a)h(lo)m(w)m(er)h(cut)f(on)h
32295 Fj(z)t Fw(,)h(based)f(on)g(some)f(ph)m(ysics)i(or)e(detector)0
32296 4029 y(consideration.)68 b(Some)40 b(suc)m(h)j(cut)e(is)f(an)m(yw)m(a)m
32297 (y)j(needed)g(to)d(k)m(eep)j(a)m(w)m(a)m(y)f(from)e(the)h(minim)m(um)d
32298 (c.m.)0 4137 y(energy)c(required)f(for)f Fm(Pythia)g
32299 Fw(ev)m(en)m(ts,)j(see)f(ab)s(o)m(v)m(e.)146 4245 y(The)46
32300 b(most)e(di\016cult)g(cases)i(are)f(those)g(with)g(a)f(v)m(ery)j(narro)
32301 m(w)e(and)g(high)e(p)s(eak,)49 b(suc)m(h)d(as)f(the)0
32302 4354 y(Z)60 4317 y Fl(0)99 4354 y Fw(.)80 b(One)45 b(could)f
32303 (initialize)d(at)j(the)h(energy)h(of)e(maxim)m(um)e(cross)k(section)f
32304 (and)f(use)i Fj(D)s Fw(\()p Fj(z)t Fw(\))f(as)g(is,)0
32305 4462 y(but)c(e\016ciency)g(migh)m(t)e(turn)i(out)f(to)g(b)s(e)h(v)m
32306 (ery)h(lo)m(w.)66 b(One)41 b(migh)m(t)e(then)i(b)s(e)f(tempted)h(to)f
32307 (do)g(more)0 4570 y(complicated)35 b(transforms)h(of)g(the)h(kind)g
32308 (illustrated)d(ab)s(o)m(v)m(e.)57 b(As)37 b(a)f(rule)h(it)e(is)h(then)h
32309 (con)m(v)m(enien)m(t)i(to)0 4679 y(w)m(ork)33 b(in)f(the)h(v)-5
32310 b(ariables)32 b Fj(\034)967 4694 y Fh(z)1034 4679 y Fw(=)c
32311 Fj(z)1183 4694 y Fl(1)1223 4679 y Fj(z)1268 4694 y Fl(2)1340
32312 4679 y Fw(and)33 b Fj(y)1578 4694 y Fh(z)1645 4679 y
32313 Fw(=)27 b(\(1)p Fj(=)p Fw(2\))17 b(ln)n(\()p Fj(z)2151
32314 4694 y Fl(1)2191 4679 y Fj(=z)2285 4694 y Fl(2)2324 4679
32315 y Fw(\),)33 b(cf.)44 b(subsection)33 b(7.2.)146 4787
32316 y(Clearly)-8 b(,)40 b(the)f(b)s(etter)g(the)g(b)s(eha)m(viour)g(of)f
32317 (the)h(cross)h(section)e(can)h(b)s(e)g(mo)s(delled)e(in)h(the)h(c)m
32318 (hoice)0 4895 y(of)j Fj(z)166 4910 y Fl(1)247 4895 y
32319 Fw(and)h Fj(z)492 4910 y Fl(2)531 4895 y Fw(,)i(the)d(b)s(etter)h(the)f
32320 (o)m(v)m(erall)f(ev)m(en)m(t)j(generation)e(e\016cien)m(y)-8
32321 b(.)73 b(Ev)m(en)44 b(under)f(the)f(b)s(est)h(of)0 5004
32322 y(circumstances,)30 b(the)f(e\016ciency)g(will)d(still)g(b)s(e)j(lo)m
32323 (w)m(er)f(than)h(for)e(runs)i(with)f(\014x)h(energy)-8
32324 b(.)43 b(There)30 b(is)d(also)0 5112 y(a)21 b(non-negligible)e(time)h
32325 (o)m(v)m(erhead)k(for)d(using)g(v)-5 b(ariable)20 b(energies)j(in)e
32326 (the)h(\014rst)g(place,)i(from)c(kinematics)0 5220 y(reconstruction)29
32327 b(and)g(\(in)e(part\))i(from)e(the)i(phase)g(space)h(selection.)42
32328 b(One)29 b(should)f(therefore)h(not)f(use)0 5344 y(v)-5
32329 b(ariable)28 b(energies)j(when)g(not)f(needed,)j(and)d(not)g(use)h(a)f
32330 (large)f(range)h(of)g(energies)3081 5262 y Fn(p)p 3164
32331 5262 70 4 v 82 x Fj(s)3210 5315 y Fk(0)3264 5344 y Fw(if)f(in)g(the)i
32332 (end)0 5453 y(only)h(a)g(smaller)f(range)h(is)h(of)f(exp)s(erimen)m
32333 (tal)f(in)m(terest.)146 5561 y(This)i(facilit)m(y)d(ma)m(y)i(b)s(e)g
32334 (com)m(bined)g(with)g(most)g(other)g(asp)s(ects)h(of)f(the)h(program.)
32335 42 b(F)-8 b(or)31 b(instance,)0 5669 y(it)36 b(is)h(p)s(ossible)f(to)h
32336 (sim)m(ulate)e(b)s(eamstrahlung)h(as)i(ab)s(o)m(v)m(e)g(and)f(still)d
32337 (include)j(bremsstrahlung)g(with)1817 5953 y(175)p eop
32338 %%Page: 176 182
32339 176 181 bop 0 -18 a Fq(MSTP\(11\)=1)p Fw(.)69 b(F)-8
32340 b(urther,)42 b(one)e(ma)m(y)g(m)m(ultiply)d(the)k(o)m(v)m(erall)e(ev)m
32341 (en)m(t)j(w)m(eigh)m(t)e(of)47 b Fq(PARP\(173\))42 b
32342 Fw(with)e(a)0 90 y(kinematics-dep)s(enden)m(t)28 b(w)m(eigh)m(t)h(giv)m
32343 (en)f(b)m(y)i Fq(PYEVWT)p Fw(,)g(although)c(it)h(is)h(not)g
32344 (recommended)g(\(since)g(the)0 198 y(c)m(hances)35 b(of)d(making)f(a)h
32345 (mistak)m(e)g(are)h(also)e(m)m(ultiplied\).)41 b(Ho)m(w)m(ev)m(er,)35
32346 b(a)d(few)h(things)f(do)h Fi(not)42 b Fw(w)m(ork.)145
32347 311 y Fn(\017)49 b Fw(It)33 b(is)f(not)g(p)s(ossible)g(to)g(use)i
32348 (pile-up)d(ev)m(en)m(ts,)k(i.e.)43 b(y)m(ou)33 b(m)m(ust)g(ha)m(v)m(e)h
32349 Fq(MSTP\(131\)=0)p Fw(.)145 429 y Fn(\017)49 b Fw(The)34
32350 b(p)s(ossibilit)m(y)d(of)h(giving)g(in)g(y)m(our)h(o)m(wn)h
32351 (cross-section)g(optimization)29 b(co)s(e\016cien)m(ts,)35
32352 b(option)244 537 y Fq(MSTP\(121\)=2)p Fw(,)42 b(w)m(ould)c(require)h
32353 (more)e(input)h(than)g(with)f(\014xed)j(energies,)g(and)e(this)g
32354 (option)244 646 y(should)32 b(therefore)h(not)g(b)s(e)g(used.)44
32355 b(Y)-8 b(ou)33 b(can)g(still)d(use)j Fq(MSTP\(121\)=1)p
32356 Fw(,)j(ho)m(w)m(ev)m(er.)145 764 y Fn(\017)49 b Fw(The)31
32357 b(m)m(ultiple)d(in)m(teractions)i(scenario)h(with)f Fq(MSTP\(82\))p
32358 Fn(\025)g Fw(2)g(only)g(w)m(orks)i(appro)m(ximately)d(for)244
32359 872 y(energies)38 b(di\013eren)m(t)h(from)d(the)j(initialization)32
32360 b(one.)60 b(If)38 b(the)h(c.m.)59 b(energy)39 b(spread)g(is)e(smaller)
32361 244 980 y(than)h(a)f(factor)g(2,)i(sa)m(y)-8 b(,)40 b(the)e(appro)m
32362 (ximation)d(should)j(b)s(e)g(reasonable,)h(but)f(if)e(the)i(spread)h
32363 (is)244 1089 y(larger)21 b(one)h(ma)m(y)g(ha)m(v)m(e)h(to)f(sub)s
32364 (divide)g(in)m(to)f(subruns)j(of)d(di\013eren)m(t)i(energy)g(bins.)40
32365 b(The)22 b(initializa-)244 1197 y(tion)33 b(should)g(b)s(e)h(made)f(at)
32366 h(the)g(largest)f(energy)h(to)g(b)s(e)g(encoun)m(tered)i(|)d(whenev)m
32367 (er)j(m)m(ultiple)244 1305 y(in)m(teractions)k(are)h(p)s(ossible)f
32368 (\(i.e.)69 b(for)40 b(incoming)f(hadrons)i(and)g(resolv)m(ed)h
32369 (photons\))f(this)g(is)244 1414 y(where)i(the)f(cross)h(sections)f(are)
32370 g(largest)f(an)m(yw)m(a)m(y)-8 b(,)46 b(and)c(so)g(this)f(is)h(no)f
32371 (further)h(constrain)m(t.)244 1522 y(There)32 b(is)f(no)g(simple)f(p)s
32372 (ossibilit)m(y)f(to)i(c)m(hange)h Fq(PARP\(82\))i Fw(during)c(the)i
32373 (course)g(of)f(the)h(run,)g(i.e.)244 1630 y(an)25 b(energy-indep)s
32374 (enden)m(t)j Fj(p)1279 1645 y Fk(?)p Fl(0)1399 1630 y
32375 Fw(m)m(ust)d(b)s(e)h(assumed.)42 b(The)27 b(default)d(option)h
32376 Fq(MSTP\(82\)=1)j Fw(w)m(orks)244 1739 y(\014ne,)j(i.e.)42
32377 b(do)s(es)31 b(not)f(su\013er)h(from)e(the)h(constrain)m(ts)h(ab)s(o)m
32378 (v)m(e.)44 b(If)30 b(so)g(desired,)h Fj(p)3089 1754 y
32379 Fk(?)p Fl(min)3294 1739 y Fw(=)p Fq(PARP\(81\))244 1847
32380 y Fw(can)42 b(b)s(e)f(set)h(di\013eren)m(tly)g(for)e(eac)m(h)j(ev)m(en)
32381 m(t,)i(as)d(a)f(function)g(of)g(c.m.)70 b(energy)-8 b(.)71
32382 b(Initialization)244 1955 y(should)32 b(then)i(b)s(e)e(done)h(with)g
32383 Fq(PARP\(81\))h Fw(as)f(lo)m(w)f(as)h(it)e(is)h(ev)m(er)i(supp)s(osed)h
32384 (to)d(b)s(ecome.)0 2227 y Fp(9.7)135 b(Other)46 b(Routines)f(and)g
32385 (Common)g(Blo)t(c)l(ks)0 2399 y Fw(The)k(subroutines)g(and)g(common)d
32386 (blo)s(c)m(ks)j(that)f(y)m(ou)h(will)d(come)i(in)f(direct)h(con)m(tact)
32387 h(with)f(ha)m(v)m(e)0 2508 y(already)31 b(b)s(een)i(describ)s(ed.)44
32388 b(A)31 b(n)m(um)m(b)s(er)h(of)g(other)f(routines)h(and)g(common)e(blo)s
32389 (c)m(ks)i(exist,)g(and)g(those)0 2616 y(not)j(describ)s(ed)g(elsewhere)
32390 h(are)f(here)h(brie\015y)f(listed)f(for)g(the)h(sak)m(e)h(of)e
32391 (completeness.)51 b(The)36 b Fq(PYG***)0 2724 y Fw(routines)i(are)h
32392 (sligh)m(tly)d(mo)s(di\014ed)i(v)m(ersions)h(of)f(the)h
32393 Fq(SAS***)h Fw(ones)f(of)f(the)h Fm(SaSgam)f Fw(library)-8
32394 b(.)60 b(The)0 2833 y(common)37 b(blo)s(c)m(k)i Fq(SASCOM)h
32395 Fw(is)e(renamed)h Fq(PYINT8)p Fw(.)64 b(If)38 b(y)m(ou)i(w)m(an)m(t)f
32396 (to)g(use)g(the)g(parton)g(distributions)0 2941 y(for)32
32397 b(standalone)g(purp)s(oses,)h(y)m(ou)g(are)g(encouraged)g(to)f(use)h
32398 (the)g(original)c Fm(SaSgam)j Fw(routines)g(rather)0
32399 3049 y(than)h(going)e(the)i(w)m(a)m(y)h(via)d(the)i Fm(Pythia)g
32400 Fw(adaptations.)0 3177 y Fq(SUBROUTINE)54 b(PYINRE)f(:)47
32401 b Fw(to)33 b(initialize)28 b(the)33 b(widths)g(and)g(e\013ectiv)m(e)g
32402 (widths)g(of)f(resonances.)0 3286 y Fq(SUBROUTINE)54
32403 b(PYINBM\(CHFRAM,CHBEAM,CHTA)q(RG,W)q(IN\))k(:)47 b Fw(to)38
32404 b(read)g(in)f(and)h(iden)m(tify)g(the)g(b)s(eam)472 3394
32405 y(\()p Fq(CHBEAM)p Fw(\))29 b(and)e(target)g(\()p Fq(CTTARG)p
32406 Fw(\))i(particles)e(and)g(the)h(frame)e(\()p Fq(CHFRAM)p
32407 Fw(\))j(as)e(giv)m(en)h(in)e(the)472 3502 y Fq(PYINIT)35
32408 b Fw(call;)30 b(also)i(to)g(sa)m(v)m(e)j(the)e(original)c(energy)k(\()p
32409 Fq(WIN)p Fw(\).)0 3611 y Fq(SUBROUTINE)54 b(PYINKI\(MODKI\))h(:)47
32410 b Fw(to)g(set)g(up)g(the)g(ev)m(en)m(t)i(kinematics,)g(either)e(at)f
32411 (initialization)472 3719 y(\()p Fq(MODKI=0)p Fw(\))32
32412 b(or)e(for)g(eac)m(h)h(separate)g(ev)m(en)m(t,)h(the)f(latter)e(when)i
32413 (the)g(program)e(is)g(run)i(with)472 3827 y(v)-5 b(arying)32
32414 b(kinematics)g(\()p Fq(MODKI=1)p Fw(\).)0 3936 y Fq(SUBROUTINE)54
32415 b(PYINPR)f(:)47 b Fw(to)41 b(set)i(up)e(the)h(partonic)f(subpro)s
32416 (cesses)j(selected)f(with)e Fq(MSEL)p Fw(.)i(F)-8 b(or)40
32417 b Fj(\015)5 b Fw(p)472 4044 y(and)32 b Fj(\015)5 b(\015)g
32418 Fw(,)32 b(also)f(the)h Fq(MSTP\(14\))i Fw(v)-5 b(alue)31
32419 b(a\013ects)i(the)f(c)m(hoice)g(of)g(pro)s(cesses.)45
32420 b(In)32 b(particular,)472 4152 y(the)i(option)e Fq(MSTP\(14\)=10)37
32421 b Fw(sets)d(up)g(the)f(three)h(or)f(six)h(di\013eren)m(t)f(pro)s
32422 (cesses)i(that)e(need)472 4261 y(to)g(b)s(e)f(mixed,)g(with)h(separate)
32423 g(cuts)g(for)g(eac)m(h.)0 4369 y Fq(SUBROUTINE)54 b(PYXTOT)f(:)47
32424 b Fw(to)22 b(giv)m(e)h(the)g(parametrized)e(total,)i(double)g
32425 (di\013ractiv)m(e,)h(single)d(di\013ractiv)m(e)472 4478
32426 y(and)33 b(elastic)f(cross)h(sections)g(for)f(di\013eren)m(t)h
32427 (energies)g(and)g(colliding)c(hadrons.)0 4586 y Fq(SUBROUTINE)54
32428 b(PYMAXI)f(:)47 b Fw(to)37 b(\014nd)h(optimal)c(co)s(e\016cien)m(ts)k
32429 Fq(COEF)g Fw(for)e(the)i(selection)f(of)f(kinematical)472
32430 4694 y(v)-5 b(ariables,)26 b(and)f(to)f(\014nd)i(the)f(related)f
32431 (maxima)f(for)h(the)h(di\013eren)m(tial)f(cross)h(section)g(times)472
32432 4803 y(Jacobian)32 b(factors,)h(for)f(eac)m(h)h(of)g(the)g(subpro)s
32433 (cesses)i(included.)0 4911 y Fq(SUBROUTINE)54 b(PYPILE\(MPILE\))h(:)47
32434 b Fw(to)c(determine)g(the)h(n)m(um)m(b)s(er)g(of)f(pile-up)f(ev)m(en)m
32435 (ts,)49 b(i.e.)75 b(ev)m(en)m(ts)472 5019 y(app)s(earing)32
32436 b(in)g(the)h(same)f(b)s(eam{b)s(eam)f(crossing.)0 5128
32437 y Fq(SUBROUTINE)54 b(PYSAVE\(ISAVE,IGA\))i(:)47 b Fw(sa)m(v)m(es)33
32438 b(and)d(restores)i(parameters)e(and)g(cross)i(section)e(v)-5
32439 b(al-)472 5236 y(ues)41 b(b)s(et)m(w)m(een)g(the)e(three)h
32440 Fj(\015)5 b Fw(p)40 b(and)f(the)h(six)f Fj(\015)5 b(\015)44
32441 b Fw(comp)s(onen)m(ts)c(of)45 b Fq(MSTP\(14\)=10)p Fw(.)67
32442 b(The)472 5344 y(options)32 b(for)f Fq(ISAVE)j Fw(are)e(\(1\))f(a)h
32443 (complete)f(sa)m(v)m(e)j(of)d(all)f(parameters)i(sp)s(eci\014c)h(to)f
32444 (a)f(giv)m(en)472 5453 y(comp)s(onen)m(t,)g(\(2\))f(a)g(partial)f(sa)m
32445 (v)m(e)j(of)e(cross-section)h(information,)c(\(3\))j(a)g(restoration)g
32446 (of)472 5561 y(all)i(parameters)h(sp)s(eci\014c)i(to)e(a)g(giv)m(en)h
32447 (comp)s(onen)m(t,)f(\(4\))g(as)h(3)f(but)h(preceded)h(b)m(y)g(a)e(ran-)
32448 472 5669 y(dom)27 b(selection)g(of)g(comp)s(onen)m(t,)h(and)g(\(5\))f
32449 (a)g(summation)e(of)i(comp)s(onen)m(t)h(cross)g(sections)1817
32450 5953 y(176)p eop
32451 %%Page: 177 183
32452 177 182 bop 472 -18 a Fw(\(for)32 b Fq(PYSTAT)p Fw(\).)i(The)f(subpro)s
32453 (cess)h(co)s(de)e(in)g Fq(IGA)g Fw(is)g(the)h(one)f(describ)s(ed)h(for)
32454 e Fq(MSTI\(9\))p Fw(;)j(it)472 90 y(is)f(input)f(for)g(options)g(1,)g
32455 (2)g(and)h(3)f(ab)s(o)m(v)m(e,)i(output)f(for)f(4)g(and)h(dumm)m(y)f
32456 (for)g(5.)0 198 y Fq(SUBROUTINE)54 b(PYRAND)f(:)47 b
32457 Fw(to)30 b(generate)g(the)g(quan)m(tities)g(c)m(haracterizing)f(a)g
32458 (hard)h(scattering)f(on)h(the)472 307 y(parton)j(lev)m(el,)f(according)
32459 g(to)g(the)h(relev)-5 b(an)m(t)33 b(matrix)e(elemen)m(ts.)0
32460 415 y Fq(SUBROUTINE)54 b(PYSCAT)f(:)47 b Fw(to)30 b(\014nd)h(outgoing)e
32461 (\015a)m(v)m(ours)j(and)f(to)f(set)h(up)g(the)f(kinematics)g(and)g
32462 (colour)472 523 y(\015o)m(w)k(of)e(the)h(hard)f(scattering.)0
32463 632 y Fq(SUBROUTINE)54 b(PYRESD)f(:)47 b Fw(to)25 b(allo)m(w)f
32464 (resonances)j(to)e(deca)m(y)-8 b(,)28 b(including)c(c)m(hains)i(of)e
32465 (successiv)m(e)29 b(deca)m(ys)472 740 y(and)k(parton)f(sho)m(w)m(ers.)0
32466 848 y Fq(SUBROUTINE)54 b(PYMULT\(MMUL\))g(:)48 b Fw(to)29
32467 b(generate)h(semi-hard)e(in)m(teractions)h(according)g(to)g(the)h(m)m
32468 (ulti-)472 957 y(ple)j(in)m(teraction)e(formalism.)0
32469 1065 y Fq(SUBROUTINE)54 b(PYREMN\(IPU1,IPU2\))i(:)47
32470 b Fw(to)42 b(add)g(on)g(target)g(remnan)m(ts)g(and)h(include)e
32471 (primordial)472 1173 y Fj(k)523 1188 y Fk(?)582 1173
32472 y Fw(.)0 1282 y Fq(SUBROUTINE)54 b(PYDIFF)f(:)47 b Fw(to)33
32473 b(handle)f(di\013ractiv)m(e)g(and)g(elastic)g(scattering)g(ev)m(en)m
32474 (ts.)0 1390 y Fq(SUBROUTINE)54 b(PYDOCU)f(:)47 b Fw(to)39
32475 b(compute)h(cross)g(sections)g(of)f(pro)s(cesses,)k(based)e(on)e
32476 (curren)m(t)i(Mon)m(te)472 1498 y(Carlo)32 b(statistics,)g(and)h(to)f
32477 (store)h(ev)m(en)m(t)i(information)29 b(in)j(the)h Fq(MSTI)g
32478 Fw(and)g Fq(PARI)h Fw(arra)m(ys.)0 1607 y Fq(SUBROUTINE)54
32479 b(PYWIDT\(KFLR,SH,WDTP,WDTE\))k(:)47 b Fw(to)30 b(calculate)f(widths)h
32480 (and)g(e\013ectiv)m(e)h(widths)f(of)472 1715 y(resonances.)0
32481 1823 y Fq(SUBROUTINE)54 b(PYOFSH\(MOFSH,KFMO,KFD1,KF)q(D2,P)q(MMO,)q
32482 (RET)q(1,RE)q(T2\))k(:)47 b Fw(to)59 b(calculate)g(partial)472
32483 1932 y(widths)48 b(in)m(to)e(c)m(hannels)h(o\013)g(the)g(mass)g(shell,)
32484 j(and)d(to)f(select)i(correlated)e(masses)i(of)472 2040
32485 y(resonance)34 b(pairs.)0 2148 y Fq(SUBROUTINE)54 b(PYKLIM\(ILIM\))g(:)
32486 48 b Fw(to)32 b(calculate)g(allo)m(w)m(ed)f(kinematical)f(limits.)0
32487 2257 y Fq(SUBROUTINE)54 b(PYKMAP\(IVAR,MVAR,VVAR\))j(:)48
32488 b Fw(to)24 b(calculate)f(the)i(v)-5 b(alue)24 b(of)g(a)g(kinematical)e
32489 (v)-5 b(ariable)472 2365 y(when)34 b(this)e(is)g(selected)i(according)e
32490 (to)g(one)h(of)f(the)h(simple)e(pieces.)0 2473 y Fq(SUBROUTINE)54
32491 b(PYSIGH\(NCHN,SIGS\))i(:)47 b Fw(to)39 b(giv)m(e)h(the)g(di\013eren)m
32492 (tial)e(cross)i(section)g(\(m)m(ultiplied)d(b)m(y)472
32493 2582 y(the)c(relev)-5 b(an)m(t)33 b(Jacobians\))f(for)g(a)h(giv)m(en)f
32494 (subpro)s(cess)j(and)e(kinematical)d(setup.)0 2690 y
32495 Fq(SUBROUTINE)54 b(PYSTFL\(KF,X,Q2,XPQ\))i(:)48 b Fw(to)e(giv)m(e)h
32496 (parton)f(distributions)f(for)h(p)h(and)f(n)h(in)f(the)472
32497 2798 y(option)32 b(with)g(mo)s(di\014ed)f(b)s(eha)m(viour)i(at)f(small)
32498 e Fj(Q)2300 2762 y Fl(2)2373 2798 y Fw(and)i Fj(x)p Fw(,)h(see)h
32499 Fq(MSTP\(57\))p Fw(.)0 2907 y Fq(SUBROUTINE)54 b(PYSTFU\(KF,X,Q2,XPQ\))
32500 i(:)48 b Fw(to)41 b(giv)m(e)h(parton-distribution)d(functions)j(\(m)m
32501 (ultiplied)472 3015 y(b)m(y)26 b Fj(x)p Fw(,)h(i.e.)41
32502 b Fj(xf)978 3030 y Fh(i)1006 3015 y Fw(\()p Fj(x;)17
32503 b(Q)1220 2979 y Fl(2)1260 3015 y Fw(\)\))25 b(for)f(an)h(arbitrary)f
32504 (particle)f(\(of)h(those)i(recognized)f(b)m(y)i Fm(Pythia)p
32505 Fw(\).)472 3123 y(Generic)33 b(driv)m(er)g(routine)f(for)g(the)h(follo)
32506 m(wing,)d(sp)s(ecialized)h(ones.)236 3232 y Fq(KF)52
32507 b(:)268 b Fw(\015a)m(v)m(our)33 b(of)f(prob)s(ed)h(particle,)e
32508 (according)h(to)h(KF)f(co)s(de.)236 3340 y Fq(X)52 b(:)319
32509 b Fj(x)33 b Fw(v)-5 b(alue)32 b(at)g(whic)m(h)h(to)f(ev)-5
32510 b(aluate)32 b(parton)h(distributions.)236 3448 y Fq(Q2)52
32511 b(:)268 b Fj(Q)786 3412 y Fl(2)858 3448 y Fw(scale)32
32512 b(at)h(whic)m(h)g(to)f(ev)-5 b(aluate)32 b(parton)g(distributions.)236
32513 3557 y Fq(XPQ)52 b(:)217 b Fw(arra)m(y)37 b(of)f(dimensions)g
32514 Fq(XPQ\(-25:25\))p Fw(,)k(whic)m(h)d(con)m(tains)g(the)g(ev)-5
32515 b(aluated)37 b(parton)709 3665 y(distributions)k Fj(xf)1392
32516 3680 y Fh(i)1421 3665 y Fw(\()p Fj(x;)17 b(Q)1635 3629
32517 y Fl(2)1674 3665 y Fw(\).)75 b(Comp)s(onen)m(ts)43 b
32518 Fj(i)g Fw(ordered)g(according)g(to)f(standard)709 3774
32519 y(KF)33 b(co)s(de;)h(additionally)c(the)k(gluon)f(is)g(found)g(in)g(p)s
32520 (osition)f(0)h(as)h(w)m(ell)e(as)i(21)f(\(for)709 3882
32521 y(historical)d(reasons\).)0 3990 y Fq(SUBROUTINE)54 b
32522 (PYSTEL\(X,Q2,XPEL\))i(:)47 b Fw(to)32 b(giv)m(e)h(electron)f(parton)h
32523 (distributions.)0 4099 y Fq(SUBROUTINE)54 b(PYSTGA\(X,Q2,XPGA\))i(:)47
32524 b Fw(to)24 b(giv)m(e)f(the)i(photon)e(parton)h(distributions)e(for)h
32525 (sets)i(other)472 4207 y(than)33 b(the)g(SaS)g(ones.)0
32526 4315 y Fq(SUBROUTINE)54 b(PYGGAM\(ISET,X,Q2,P2,F2GM,)q(XPDF)q(GM\))k(:)
32527 47 b Fw(to)36 b(construct)h(the)g(SaS)f Fj(F)3337 4330
32528 y Fl(2)3413 4315 y Fw(and)g(par-)472 4424 y(ton)25 b(distributions)e
32529 (of)i(the)g(photon)g(b)m(y)g(summing)e(homogeneous)i(\(VMD\))g(and)g
32530 (inhomo-)472 4532 y(geneous)30 b(\(anomalous\))e(terms.)42
32531 b(F)-8 b(or)28 b Fj(F)1930 4547 y Fl(2)1969 4532 y Fw(,)i(c)f(and)g(b)g
32532 (are)g(included)g(b)m(y)h(the)f(Bethe-Heitler)472 4650
32533 y(form)m(ula;)38 b(in)f(the)g(`)p 1182 4572 144 4 v(MS)q(')g(sc)m(heme)
32534 h(additionally)c(a)j Fj(C)2435 4614 y Fh(\015)2517 4650
32535 y Fw(term)f(is)h(added.)58 b(Calls)36 b Fq(PYGVMD)p Fw(,)472
32536 4758 y Fq(PYGANO)p Fw(,)f Fq(PYGBEH)p Fw(,)f(and)f Fq(PYGDIR)p
32537 Fw(.)0 4866 y Fq(SUBROUTINE)54 b(PYGVMD\(ISET,KF,X,Q2,P2,AL)q(AM,X)q
32538 (PGA\))k(:)47 b Fw(to)26 b(ev)-5 b(aluate)26 b(the)h(VMD)f(parton)g
32539 (dis-)472 4975 y(tributions)31 b(of)h(a)f(photon,)h(ev)m(olv)m(ed)h
32540 (homogeneously)f(from)f(an)g(initial)e(scale)i Fj(P)3446
32541 4939 y Fl(2)3517 4975 y Fw(to)h Fj(Q)3713 4939 y Fl(2)3752
32542 4975 y Fw(.)0 5083 y Fq(SUBROUTINE)54 b(PYGANO\(KF,X,Q2,P2,ALAM,XP)q
32543 (GA\))k(:)47 b Fw(to)32 b(ev)-5 b(aluate)32 b(the)g(parton)g
32544 (distributions)f(of)472 5192 y(the)45 b(anomalous)d(photon,)47
32545 b(inhomogeneously)c(ev)m(olv)m(ed)i(from)e(a)h(scale)g
32546 Fj(P)3301 5155 y Fl(2)3383 5192 y Fw(\(where)h(it)472
32547 5300 y(v)-5 b(anishes\))34 b(to)e Fj(Q)1090 5264 y Fl(2)1129
32548 5300 y Fw(.)0 5408 y Fq(SUBROUTINE)54 b(PYGBEH\(KF,X,Q2,P2,PM2,XPB)q
32549 (H\))j(:)48 b Fw(to)35 b(ev)-5 b(aluate)34 b(the)i(Bethe-Heitler)e
32550 (cross)i(sec-)472 5517 y(tion)c(for)g(hea)m(vy)i(\015a)m(v)m(our)g(pro)
32551 s(duction.)0 5625 y Fq(SUBROUTINE)54 b(PYGDIR\(X,Q2,P2,AK0,XPGA\))k(:)
32552 47 b Fw(to)33 b(ev)-5 b(aluate)32 b(the)i(direct)f(con)m(tribution,)f
32553 (i.e.)44 b(the)1817 5953 y(177)p eop
32554 %%Page: 178 184
32555 178 183 bop 472 -18 a Fj(C)549 -55 y Fh(\015)626 -18
32556 y Fw(term,)32 b(as)h(needed)h(in)p 1445 -97 144 4 v 32
32557 w(MS)f(parametrizations.)0 90 y Fq(SUBROUTINE)54 b(PYSTPI\(X,Q2,XPPI\))
32558 i(:)47 b Fw(to)32 b(giv)m(e)h(pion)f(parton)g(distributions.)0
32559 198 y Fq(SUBROUTINE)54 b(PYSTPR\(X,Q2,XPPR\))i(:)47 b
32560 Fw(to)32 b(giv)m(e)h(proton)f(parton)h(distributions.)0
32561 307 y Fq(FUNCTION)53 b(PYCTQ2\(ISET,IPRT,X,Q\))k(:)48
32562 b Fw(to)32 b(giv)m(e)h(the)g(CTEQ2)g(proton)f(parton)h(distributions.)0
32563 415 y Fq(FUNCTION)53 b(PYHFTH\(SH,SQM,FRATT\))k(:)47
32564 b Fw(to)30 b(giv)m(e)g(hea)m(vy-\015a)m(v)m(our)h(threshold)f(factor)f
32565 (in)g(matrix)g(el-)472 523 y(emen)m(ts.)0 632 y Fq(SUBROUTINE)54
32566 b(PYSPLI\(KF,KFLIN,KFLCH,KFL)q(SP\))k(:)47 b Fw(to)h(giv)m(e)h(hadron)f
32567 (remnan)m(t)h(or)f(remnan)m(ts)472 740 y(left)32 b(b)s(ehind)h(when)g
32568 (the)g(reacting)f(parton)h(is)f(kic)m(k)m(ed)i(out.)0
32569 848 y Fq(FUNCTION)53 b(PYGAMM\(X\))h(:)48 b Fw(to)41
32570 b(giv)m(e)h(the)g(v)-5 b(alue)41 b(of)h(the)g(ordinary)f(\000\()p
32571 Fj(x)p Fw(\))h(function)g(\(used)h(in)e(some)472 957
32572 y(parton-distribution)30 b(parametrizations\).)0 1065
32573 y Fq(SUBROUTINE)54 b(PYWAUX\(IAUX,EPS,WRE,WIM\))k(:)47
32574 b Fw(to)36 b(ev)-5 b(aluate)36 b(the)h(t)m(w)m(o)g(auxiliary)e
32575 (functions)h Fj(W)3740 1080 y Fl(1)472 1173 y Fw(and)d
32576 Fj(W)754 1188 y Fl(2)826 1173 y Fw(app)s(earing)f(in)g(the)h(cross)g
32577 (section)g(expressions)h(in)e Fq(PYSIGH)p Fw(.)0 1282
32578 y Fq(SUBROUTINE)54 b(PYI3AU\(EPS,RAT,Y3RE,Y3IM\))k(:)47
32579 b Fw(to)e(ev)-5 b(aluate)45 b(the)h(auxiliary)d(function)h
32580 Fj(I)3559 1297 y Fl(3)3644 1282 y Fw(ap-)472 1390 y(p)s(earing)32
32581 b(in)g(the)h(cross)g(section)g(expressions)h(in)e Fq(PYSIGH)p
32582 Fw(.)0 1498 y Fq(FUNCTION)53 b(PYSPEN\(XREIN,XIMIN,IREI)q(M\))k(:)48
32583 b Fw(to)41 b(calculate)g(the)i(real)e(and)h(imaginary)d(part)j(of)472
32584 1607 y(the)33 b(Sp)s(ence)h(function.)0 1715 y Fq(SUBROUTINE)54
32585 b(PYQQBH\(WTQQBH\))h(:)47 b Fw(to)27 b(calculate)f(matrix)g(elemen)m
32586 (ts)i(for)e(the)i(t)m(w)m(o)g(pro)s(cesses)h(gg)g Fn(!)472
32587 1823 y Fw(Q)p 548 1745 76 4 v(QH)697 1787 y Fl(0)769
32588 1823 y Fw(and)k(q)p 1010 1770 52 4 v(q)c Fn(!)e Fw(Q)p
32589 1293 1745 76 4 v(QH)1442 1787 y Fl(0)1481 1823 y Fw(.)0
32590 1932 y Fq(BLOCK)53 b(DATA)f(PYDATA)h(:)47 b Fw(to)29
32591 b(giv)m(e)g(sensible)h(default)e(v)-5 b(alues)29 b(to)g(all)e(status)j
32592 (co)s(des)g(and)f(parameters.)p 0 2101 1851 9 v 0 2326
32593 9 225 v 79 2241 a Fq(COMMON/PYINT1/MINT\(400\),)q(VINT)q(\(400)q(\))p
32594 1842 2326 V 0 2334 1851 9 v 0 2466 a Fo(Purp)s(ose:)48
32595 b Fw(to)25 b(collect)g(a)g(host)h(of)g(in)m(teger-)f(and)g(real-v)-5
32596 b(alued)25 b(v)-5 b(ariables)24 b(used)j(in)m(ternally)d(in)h(the)h
32597 (pro-)472 2574 y(gram)33 b(during)g(the)g(initialization)28
32598 b(and/or)34 b(ev)m(en)m(t)h(generation)e(stage.)46 b(These)36
32599 b(v)-5 b(ariables)472 2682 y(m)m(ust)33 b(not)g(b)s(e)f(c)m(hanged)i(b)
32600 m(y)f(y)m(ou.)0 2791 y Fq(MINT\(1\))53 b(:)48 b Fw(sp)s(eci\014es)39
32601 b(the)g(general)f(t)m(yp)s(e)i(of)e(subpro)s(cess)j(that)d(has)h(o)s
32602 (ccurred,)i(according)d(to)g(the)472 2899 y(ISUB)c(co)s(de)e(giv)m(en)h
32603 (in)f(section)h(8.1.)0 3007 y Fq(MINT\(2\))53 b(:)48
32604 b Fw(whenev)m(er)33 b Fq(MINT\(1\))f Fw(\(together)e(with)g
32605 Fq(MINT\(15\))j Fw(and)d Fq(MINT\(16\))p Fw(\))j(are)d(not)g
32606 (su\016cien)m(t)472 3116 y(to)38 b(sp)s(ecify)h(the)f(t)m(yp)s(e)h(of)f
32607 (pro)s(cess)i(uniquely)-8 b(,)39 b Fq(MINT\(2\))h Fw(pro)m(vides)f(an)f
32608 (ordering)f(of)h(the)472 3224 y(di\013eren)m(t)33 b(p)s(ossibilities,)d
32609 (see)k Fq(MSTI\(2\))p Fw(.)0 3332 y Fq(MINT\(3\))53 b(:)48
32610 b Fw(n)m(um)m(b)s(er)27 b(of)g(partons)g(pro)s(duced)h(in)e(the)i(hard)
32611 f(in)m(teractions,)g(i.e.)41 b(the)28 b(n)m(um)m(b)s(er)f
32612 Fj(n)g Fw(of)g(the)472 3441 y(2)h Fn(!)f Fj(n)j Fw(matrix)e(elemen)m
32613 (ts)h(used;)j(is)d(sometimes)g(3)g(or)g(4)g(when)i(a)e(basic)g(2)e
32614 Fn(!)h Fw(1)h(or)g(2)e Fn(!)h Fw(2)472 3549 y(pro)s(cess)f(has)e(b)s
32615 (een)h(folded)f(with)g(t)m(w)m(o)h(1)h Fn(!)g Fw(2)e(initial)d(branc)m
32616 (hings)j(\(lik)m(e)g(qq)3216 3513 y Fk(0)3268 3549 y
32617 Fn(!)i Fw(q)3446 3513 y Fk(00)3489 3549 y Fw(q)3540 3513
32618 y Fk(000)3602 3549 y Fw(H)3675 3513 y Fl(0)3714 3549
32619 y Fw(\).)0 3657 y Fq(MINT\(4\))53 b(:)48 b Fw(n)m(um)m(b)s(er)28
32620 b(of)f(do)s(cumen)m(tation)g(lines)g(at)g(the)h(b)s(eginning)f(of)g
32621 (the)h(common)e(blo)s(c)m(k)i Fq(LUJETS)472 3766 y Fw(that)33
32622 b(are)f(giv)m(en)h(with)f Fq(K\(I,1\)=21)p Fw(;)j(0)e(for)f
32623 Fq(MSTP\(125\)=0)p Fw(.)0 3874 y Fq(MINT\(5\))53 b(:)48
32624 b Fw(n)m(um)m(b)s(er)30 b(of)f(ev)m(en)m(ts)j(generated)e(to)g(date)f
32625 (in)g(curren)m(t)i(run.)43 b(In)30 b(runs)g(with)g(the)g(v)-5
32626 b(ariable-)472 3982 y(energy)31 b(option,)f Fq(MSTP\(171\)=1)j
32627 Fw(and)d Fq(MSTP\(172\)=2)p Fw(,)j(only)d(those)g(ev)m(en)m(ts)i(that)e
32628 (surviv)m(e)472 4091 y(\(i.e.)83 b(that)45 b(do)h(not)g(ha)m(v)m(e)h
32629 Fq(MSTI\(61\)=1)p Fw(\))h(are)e(coun)m(ted)h(in)e(this)g(n)m(um)m(b)s
32630 (er.)84 b(That)46 b(is,)472 4199 y Fq(MINT\(5\))35 b
32631 Fw(ma)m(y)d(b)s(e)h(less)g(than)f(the)h(total)f(n)m(um)m(b)s(er)h(of)39
32632 b Fq(PYEVNT)34 b Fw(calls.)0 4307 y Fq(MINT\(6\))53 b(:)48
32633 b Fw(curren)m(t)33 b(frame)f(of)g(ev)m(en)m(t)j(\(see)e
32634 Fq(MSTP\(124\))i Fw(for)d(p)s(ossible)g(v)-5 b(alues\).)0
32635 4416 y Fq(MINT\(7\),)53 b(MINT\(8\))h(:)47 b Fw(line)29
32636 b(n)m(um)m(b)s(er)i(for)f(do)s(cumen)m(tation)f(of)h(outgoing)f
32637 (partons/particles)h(from)472 4524 y(hard)j(scattering)f(for)g(2)c
32638 Fn(!)f Fw(2)32 b(or)h(2)27 b Fn(!)g Fw(1)h Fn(!)f Fw(2)33
32639 b(pro)s(cesses)h(\(else)f(=)f(0\).)0 4632 y Fq(MINT\(10\))53
32640 b(:)48 b Fw(is)32 b(1)g(if)g(cross)h(section)g(maxim)m(um)d(w)m(as)k
32641 (violated)d(in)h(curren)m(t)h(ev)m(en)m(t,)i(and)e(0)f(if)f(not.)0
32642 4741 y Fq(MINT\(11\))53 b(:)48 b Fw(KF)32 b(\015a)m(v)m(our)h(co)s(de)g
32643 (for)f(b)s(eam)g(\(side)h(1\))f(particle.)0 4849 y Fq(MINT\(12\))53
32644 b(:)48 b Fw(KF)32 b(\015a)m(v)m(our)h(co)s(de)g(for)f(target)h(\(side)f
32645 (2\))g(particle.)0 4958 y Fq(MINT\(13\),)54 b(MINT\(14\))f(:)48
32646 b Fw(KF)28 b(\015a)m(v)m(our)i(co)s(des)g(for)e(side)h(1)g(and)g(side)g
32647 (2)g(initial-state)c(sho)m(w)m(er)31 b(initia-)472 5066
32648 y(tors.)0 5174 y Fq(MINT\(15\),)54 b(MINT\(16\))f(:)48
32649 b Fw(KF)34 b(\015a)m(v)m(our)i(co)s(des)g(for)f(side)g(1)g(and)h(side)f
32650 (2)g(incoming)e(partons)i(to)g(the)472 5283 y(hard)e(in)m(teraction.)0
32651 5391 y Fq(MINT\(17\),)54 b(MINT\(18\))f(:)48 b Fw(\015ag)38
32652 b(to)h(signal)f(if)g(particle)g(on)h(side)g(1)g(or)g(side)h(2)f(has)g
32653 (b)s(een)h(scattered)472 5499 y(di\013ractiv)m(ely;)32
32654 b(0)g(if)g(no,)g(1)h(if)e(y)m(es.)0 5608 y Fq(MINT\(19\),)54
32655 b(MINT\(20\))f(:)48 b Fw(\015ag)41 b(to)h(signal)f(initial-state)d
32656 (structure)43 b(with)f(parton)g(inside)f(photon)1817
32657 5953 y(178)p eop
32658 %%Page: 179 185
32659 179 184 bop 472 -18 a Fw(inside)32 b(electron)h(on)f(side)h(1)f(or)h
32660 (side)f(2;)h(0)f(if)f(no,)i(1)f(if)g(y)m(es.)0 90 y Fq(MINT\(21\))53
32661 b(-)f(MINT\(24\))h(:)48 b Fw(KF)37 b(\015a)m(v)m(our)i(co)s(des)f(for)f
32662 (outgoing)g(partons)h(from)e(the)i(hard)g(in)m(terac-)472
32663 198 y(tion.)i(The)24 b(n)m(um)m(b)s(er)g(of)f(p)s(ositions)g(actually)f
32664 (used)j(is)e(pro)s(cess-dep)s(enden)m(t,)28 b(see)d Fq(MINT\(3\))p
32665 Fw(;)472 307 y(trailing)30 b(p)s(ositions)h(not)i(used)g(are)g(set)g(=)
32666 g(0.)0 415 y Fq(MINT\(25\),)54 b(MINT\(26\))f(:)48 b
32667 Fw(KF)e(\015a)m(v)m(our)h(co)s(des)h(of)e(the)i(pro)s(ducts)f(in)f(the)
32668 h(deca)m(y)i(of)d(a)g(single)g Fj(s)p Fw(-)472 523 y(c)m(hannel)40
32669 b(resonance)g(formed)e(in)g(the)h(hard)g(in)m(teraction.)61
32670 b(Are)39 b(th)m(us)h(only)e(used)i(when)472 632 y Fq(MINT\(3\)=1)35
32671 b Fw(and)e(the)g(resonance)h(is)e(allo)m(w)m(ed)g(to)g(deca)m(y)-8
32672 b(.)0 740 y Fq(MINT\(31\))53 b(:)48 b Fw(n)m(um)m(b)s(er)34
32673 b(of)f(hard)h(or)f(semi-hard)g(scatterings)h(that)f(o)s(ccurred)i(in)e
32674 (the)h(curren)m(t)h(ev)m(en)m(t)472 848 y(in)d(the)h(m)m(ultiple-in)m
32675 (teraction)c(scenario;)j(is)g(=)h(0)f(for)g(a)g(lo)m(w-)p
32676 Fj(p)2772 863 y Fk(?)2863 848 y Fw(ev)m(en)m(t.)0 957
32677 y Fq(MINT\(35\))53 b(:)48 b Fw(in)25 b(a)h(true)g(2)h
32678 Fn(!)g Fw(3)f(pro)s(cess,)j(where)e(one)f(particle)e(is)i(a)f
32679 (resonance)i(with)f(deca)m(y)h(c)m(hannel)472 1065 y(selected)48
32680 b(already)e(b)s(efore)h(the)g Fq(PYRESD)h Fw(call,)g(the)f(deca)m(y)h
32681 (c)m(hannel)f(n)m(um)m(b)s(er)f(\(in)g(the)472 1173 y
32682 Fq(/LUDAT3/)35 b Fw(n)m(um)m(b)s(ering\))d(is)g(stored)h(here.)0
32683 1282 y Fq(MINT\(41\),)54 b(MINT\(42\))f(:)48 b Fw(t)m(yp)s(e)33
32684 b(of)e(incoming)f(b)s(eam)h(or)h(target)g(particle;)f(1)h(for)f(lepton)
32685 h(and)g(2)g(for)472 1390 y(hadron.)43 b(A)30 b(photon)g(coun)m(ts)h(as)
32686 f(a)g(lepton)g(if)f(it)f(is)i(not)g(resolv)m(ed)h(\()p
32687 Fq(MSTP\(14\)=0)p Fw(\))h(and)e(as)472 1498 y(a)j(hadron)f(if)g(it)f
32688 (is)h(resolv)m(ed)i(\()p Fq(MSTP\(14\))p Fn(\025)c Fw(1\).)0
32689 1607 y Fq(MINT\(43\))53 b(:)48 b Fw(com)m(bination)35
32690 b(of)h(incoming)f(b)s(eam)h(and)h(target)f(particles.)56
32691 b(A)37 b(photon)g(coun)m(ts)h(as)f(a)472 1715 y(hadron.)236
32692 1823 y Fq(=)52 b(1)f(:)217 b Fw(lepton)32 b(on)g(lepton.)236
32693 1932 y Fq(=)52 b(2)f(:)217 b Fw(lepton)32 b(on)g(hadron.)236
32694 2040 y Fq(=)52 b(3)f(:)217 b Fw(hadron)32 b(on)h(lepton.)236
32695 2148 y Fq(=)52 b(4)f(:)217 b Fw(hadron)32 b(on)h(hadron.)0
32696 2257 y Fq(MINT\(44\))53 b(:)48 b Fw(as)33 b Fq(MINT\(43\))p
32697 Fw(,)h(but)f(a)g(photon)f(coun)m(ts)i(as)f(a)f(lepton.)0
32698 2365 y Fq(MINT\(45\),)54 b(MINT\(46\))f(:)48 b Fw(structure)33
32699 b(of)g(incoming)d(b)s(eam)i(and)g(target)h(particles.)236
32700 2473 y Fq(=)52 b(1)f(:)217 b Fw(no)36 b(in)m(ternal)g(structure,)j
32701 (i.e.)56 b(an)37 b(electron)g(or)g(photon)f(carrying)h(the)g(full)e(b)s
32702 (eam)709 2582 y(energy)-8 b(.)236 2690 y Fq(=)52 b(2)f(:)217
32703 b Fw(de\014ned)41 b(with)f(parton)f(distributions)g(that)g(are)h(not)g
32704 (p)s(eak)m(ed)h(at)f Fj(x)g Fw(=)g(1,)i(i.e.)65 b(a)709
32705 2798 y(hadron)32 b(or)g(a)h(resolv)m(ed)g(photon.)236
32706 2907 y Fq(=)52 b(3)f(:)217 b Fw(de\014ned)26 b(with)e(parton)h
32707 (distributions)e(that)i(are)f(p)s(eak)m(ed)i(at)f Fj(x)j
32708 Fw(=)g(1,)e(i.e.)40 b(a)25 b(resolv)m(ed)709 3015 y(electron.)0
32709 3123 y Fq(MINT\(47\))53 b(:)48 b Fw(com)m(bination)23
32710 b(of)j(incoming)d(b)s(eam-)h(and)i(target-particle)d
32711 (parton-distribution)g(func-)472 3232 y(tion)32 b(t)m(yp)s(es.)236
32712 3340 y Fq(=)52 b(1)f(:)217 b Fw(no)32 b(parton)g(distribution)f(either)
32713 i(for)f(b)s(eam)f(or)i(target.)236 3448 y Fq(=)52 b(2)f(:)217
32714 b Fw(parton)32 b(distributions)f(for)h(target)g(but)h(not)g(for)f(b)s
32715 (eam.)236 3557 y Fq(=)52 b(3)f(:)217 b Fw(parton)32 b(distributions)f
32716 (for)h(b)s(eam)g(but)h(not)f(for)g(target.)236 3665 y
32717 Fq(=)52 b(4)f(:)217 b Fw(parton)36 b(distributions)f(for)h(b)s(oth)g(b)
32718 s(eam)f(and)i(target,)g(but)g(not)f(b)s(oth)g(p)s(eak)m(ed)i(at)709
32719 3774 y Fj(x)28 b Fw(=)f(1.)236 3882 y Fq(=)52 b(5)f(:)217
32720 b Fw(parton)30 b(distributions)g(for)g(b)s(oth)h(b)s(eam)f(and)h
32721 (target,)g(with)f(b)s(oth)h(p)s(eak)m(ed)h(at)f Fj(x)d
32722 Fw(=)709 3990 y(1.)0 4099 y Fq(MINT\(48\))53 b(:)48 b
32723 Fw(total)31 b(n)m(um)m(b)s(er)i(of)f(subpro)s(cesses)k(switc)m(hed)d
32724 (on.)0 4207 y Fq(MINT\(49\))53 b(:)48 b Fw(n)m(um)m(b)s(er)37
32725 b(of)f(subpro)s(cesses)k(that)d(are)f(switc)m(hed)i(on,)g(apart)e(from)
32726 g(elastic)g(scattering)472 4315 y(and)d(single,)f(double)g(and)h(cen)m
32727 (tral)f(di\013ractiv)m(e.)0 4424 y Fq(MINT\(50\))53 b(:)48
32728 b Fw(com)m(bination)j(of)j(incoming)d(particles)i(from)f(a)h(m)m
32729 (ultiple)e(in)m(teractions)i(p)s(oin)m(t)g(of)472 4532
32730 y(view.)236 4640 y Fq(=)f(0)f(:)217 b Fw(the)40 b(total)e(cross)i
32731 (section)g(is)f(not)h(kno)m(wn;)k(therefore)c(no)g(m)m(ultiple)d(in)m
32732 (teractions)709 4749 y(are)32 b(p)s(ossible.)236 4857
32733 y Fq(=)52 b(1)f(:)217 b Fw(the)34 b(total)e(cross)i(section)g(is)f(kno)
32734 m(wn;)j(therefore)e(m)m(ultiple)d(in)m(teractions)i(are)h(p)s(os-)709
32735 4965 y(sible)d(if)h(switc)m(hed)i(on.)0 5074 y Fq(MINT\(51\))53
32736 b(:)48 b Fw(in)m(ternal)31 b(\015ag)i(that)f(ev)m(en)m(t)i(failed)d
32737 (cuts.)236 5182 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(problem.)236
32738 5290 y Fq(=)52 b(1)f(:)217 b Fw(ev)m(en)m(t)34 b(failed;)d(new)j(one)e
32739 (to)h(b)s(e)f(generated.)236 5399 y Fq(=)52 b(2)f(:)217
32740 b Fw(ev)m(en)m(t)32 b(failed;)e(no)h(new)g(ev)m(en)m(t)i(is)d(to)g(b)s
32741 (e)h(generated)h(but)f(instead)g(con)m(trol)f(is)g(to)g(b)s(e)709
32742 5507 y(giv)m(en)i(bac)m(k)i(to)e(used.)45 b(Is)33 b(in)m(tended)g(for)f
32743 (user-de\014ned)j(pro)s(cesses,)g(when)e Fq(NUP=0)p Fw(.)0
32744 5615 y Fq(MINT\(52\))53 b(:)48 b Fw(in)m(ternal)34 b(coun)m(ter)i(for)f
32745 (n)m(um)m(b)s(er)g(of)g(lines)f(used)i(\(in)f Fq(/LUJETS/)p
32746 Fw(\))i(b)s(efore)e(m)m(ultiple)e(in-)1817 5953 y(179)p
32747 eop
32748 %%Page: 180 186
32749 180 185 bop 472 -18 a Fw(teractions)33 b(are)f(considered.)0
32750 90 y Fq(MINT\(53\))53 b(:)48 b Fw(in)m(ternal)37 b(coun)m(ter)j(for)e
32751 (n)m(um)m(b)s(er)h(of)f(lines)g(used)i(\(in)d Fq(/LUJETS/)p
32752 Fw(\))k(b)s(efore)e(b)s(eam)e(rem-)472 198 y(nan)m(ts)d(are)e
32753 (considered.)0 307 y Fq(MINT\(55\))53 b(:)48 b Fw(the)f(hea)m(viest)g
32754 (new)g(\015a)m(v)m(our)g(switc)m(hed)g(on)f(for)g(QCD)g(pro)s(cesses,)
32755 52 b(sp)s(eci\014cally)45 b(the)472 415 y(\015a)m(v)m(our)34
32756 b(to)e(b)s(e)h(generated)g(for)f(ISUB)h(=)g(81,)f(82,)g(83)g(or)g(84.)0
32757 523 y Fq(MINT\(56\))53 b(:)48 b Fw(the)24 b(hea)m(viest)g(new)g(\015a)m
32758 (v)m(our)g(switc)m(hed)g(on)f(for)g(QED)g(pro)s(cesses,)k(sp)s
32759 (eci\014cally)22 b(for)h(ISUB)472 632 y(=)33 b(85.)44
32760 b(Note)33 b(that,)g(unlik)m(e)g Fq(MINT\(55\))p Fw(,)i(the)e(hea)m
32761 (viest)h(\015a)m(v)m(our)g(ma)m(y)e(here)i(b)s(e)f(a)g(lepton,)472
32762 740 y(and)g(that)f(hea)m(vy)j(means)d(the)h(one)g(with)f(largest)g(KF)g
32763 (co)s(de.)0 848 y Fq(MINT\(57\))53 b(:)48 b Fw(n)m(um)m(b)s(er)28
32764 b(of)g(times)e(the)j(b)s(eam)e(remnan)m(t)h(treatmen)m(t)f(has)i
32765 (failed,)e(and)h(the)g(same)g(basic)472 957 y(kinematical)e(setup)k(is)
32766 e(used)i(to)f(pro)s(duce)g(a)f(new)i(parton)e(sho)m(w)m(er)j(ev)m
32767 (olution)c(and)i(b)s(eam)472 1065 y(remnan)m(t)37 b(set.)57
32768 b(Mainly)35 b(used)j(in)e(leptopro)s(duction,)g(for)h(the)g(option)e
32769 (when)j Fj(x)f Fw(and)g Fj(Q)3740 1029 y Fl(2)472 1173
32770 y Fw(are)c(to)f(b)s(e)h(preserv)m(ed.)0 1282 y Fq(MINT\(61\))53
32771 b(:)48 b Fw(in)m(ternal)30 b(switc)m(h)i(for)f(the)g(mo)s(de)g(of)g(op)
32772 s(eration)f(of)g(resonance)j(width)e(calculations)e(in)472
32773 1390 y Fq(PYWIDT)35 b Fw(for)d Fj(\015)1018 1354 y Fk(\003)1057
32774 1390 y Fj(=)p Fw(Z)1166 1354 y Fl(0)1237 1390 y Fw(or)h
32775 Fj(\015)1413 1354 y Fk(\003)1452 1390 y Fj(=)p Fw(Z)1561
32776 1354 y Fl(0)1600 1390 y Fj(=)p Fw(Z)1709 1354 y Fk(0)p
32777 Fl(0)1767 1390 y Fw(.)236 1498 y Fq(=)52 b(0)f(:)217
32778 b Fw(without)32 b(reference)i(to)e(initial-state)d(\015a)m(v)m(ours.)
32779 236 1607 y Fq(=)52 b(1)f(:)217 b Fw(with)32 b(reference)i(to)e(giv)m
32780 (en)h(initial-state)c(\015a)m(v)m(ours.)236 1715 y Fq(=)52
32781 b(2)f(:)217 b Fw(for)32 b(giv)m(en)g(\014nal-state)g(\015a)m(v)m(ours.)
32782 0 1823 y Fq(MINT\(62\))53 b(:)48 b Fw(in)m(ternal)31
32783 b(switc)m(h)j(for)e(use)h(at)f(initialization)27 b(of)33
32784 b(H)2412 1787 y Fl(0)2484 1823 y Fw(width.)236 1932 y
32785 Fq(=)52 b(0)f(:)217 b Fw(use)33 b(widths)g(in)m(to)f(ZZ)1510
32786 1896 y Fk(\003)1581 1932 y Fw(or)g(WW)1901 1896 y Fk(\003)1974
32787 1932 y Fw(calculated)g(b)s(efore.)236 2040 y Fq(=)52
32788 b(1)f(:)217 b Fw(ev)-5 b(aluate)32 b(widths)h(in)m(to)e(ZZ)1723
32789 2004 y Fk(\003)1795 2040 y Fw(or)h(WW)2115 2004 y Fk(\003)2188
32790 2040 y Fw(for)g(curren)m(t)h(Higgs)f(mass.)0 2148 y Fq(MINT\(65\))53
32791 b(:)48 b Fw(in)m(ternal)31 b(switc)m(h)j(to)e(indicate)f
32792 (initialization)c(without)33 b(sp)s(eci\014ed)g(reaction.)236
32793 2257 y Fq(=)52 b(0)f(:)217 b Fw(normal)30 b(initialization.)236
32794 2365 y Fq(=)52 b(1)f(:)217 b Fw(initialization)27 b(with)32
32795 b(argumen)m(t)g Fq('none')i Fw(in)e Fq(PYINIT)i Fw(call.)0
32796 2473 y Fq(MINT\(71\))53 b(:)48 b Fw(switc)m(h)33 b(to)f(tell)f(whether)
32797 j(curren)m(t)g(pro)s(cess)g(is)e(singular)f(for)h Fj(p)2866
32798 2488 y Fk(?)2953 2473 y Fn(!)27 b Fw(0)32 b(or)h(not.)236
32799 2582 y Fq(=)52 b(0)f(:)217 b Fw(non-singular)31 b(pro)s(cess,)j(i.e.)44
32800 b(pro)s(ceeding)33 b(via)f(an)h Fj(s)p Fw(-c)m(hannel)g(resonance)h(or)
32801 f(with)709 2690 y(b)s(oth)f(pro)s(ducts)h(ha)m(ving)g(a)f(mass)g(ab)s
32802 (o)m(v)m(e)i Fq(CKIN\(6\))p Fw(.)236 2798 y Fq(=)52 b(1)f(:)217
32803 b Fw(singular)31 b(pro)s(cess.)0 2907 y Fq(MINT\(72\))53
32804 b(:)48 b Fw(n)m(um)m(b)s(er)33 b(of)f Fj(s)p Fw(-c)m(hannel)g
32805 (resonances)j(that)d(ma)m(y)h(con)m(tribute)f(to)h(the)g(cross)g
32806 (section.)0 3015 y Fq(MINT\(73\))53 b(:)48 b Fw(KF)32
32807 b(co)s(de)h(of)f(\014rst)h Fj(s)p Fw(-c)m(hannel)f(resonance;)i(0)f(if)
32808 e(there)i(is)g(none.)0 3123 y Fq(MINT\(74\))53 b(:)48
32809 b Fw(KF)32 b(co)s(de)h(of)f(second)i Fj(s)p Fw(-c)m(hannel)e
32810 (resonance;)i(0)f(if)e(there)i(is)f(none.)0 3232 y Fq(MINT\(81\))53
32811 b(:)48 b Fw(n)m(um)m(b)s(er)33 b(of)f(selected)i(pile-up)d(ev)m(en)m
32812 (ts.)0 3340 y Fq(MINT\(82\))53 b(:)48 b Fw(sequence)35
32813 b(n)m(um)m(b)s(er)e(of)f(curren)m(tly)i(considered)f(pile-up)e(ev)m(en)
32814 m(t.)0 3448 y Fq(MINT\(83\))53 b(:)48 b Fw(n)m(um)m(b)s(er)39
32815 b(of)f(lines)f(in)h(the)h(ev)m(en)m(t)h(record)f(already)f(\014lled)f
32816 (b)m(y)i(previously)g(considered)472 3557 y(pile-up)32
32817 b(ev)m(en)m(ts.)0 3665 y Fq(MINT\(84\))53 b(:)48 b(MINT\(83\))53
32818 b(+)f(MSTP\(126\))p Fw(,)e(i.e.)80 b(n)m(um)m(b)s(er)45
32819 b(of)g(lines)f(already)g(\014lled)g(b)m(y)h(previously)472
32820 3774 y(considered)27 b(ev)m(en)m(ts)h(plus)d(n)m(um)m(b)s(er)h(of)f
32821 (lines)g(to)g(b)s(e)g(k)m(ept)i(free)f(for)f(ev)m(en)m(t)i(do)s(cumen)m
32822 (tation.)0 3882 y Fq(MINT\(91\))53 b(:)48 b Fw(is)c(1)g(for)f(a)h
32823 (lepton{hadron)g(ev)m(en)m(t)i(and)e(0)g(else.)79 b(Used)45
32824 b(to)f(determine)g(whether)i(a)472 3990 y Fq(PYFRAM\(3\))35
32825 b Fw(call)c(is)h(p)s(ossible.)0 4099 y Fq(MINT\(92\))53
32826 b(:)48 b Fw(is)43 b(used)h(to)f(denote)i(region)d(in)h(\()p
32827 Fj(x;)17 b(Q)2000 4062 y Fl(2)2039 4099 y Fw(\))44 b(plane)f(when)h
32828 Fq(MSTP\(57\)=2)p Fw(,)49 b(according)43 b(to)472 4207
32829 y(n)m(um)m(b)s(ering)33 b(in)e([Sc)m(h93a)q(].)44 b(Simply)30
32830 b(put,)j(0)g(means)f(that)h(the)g(mo)s(di\014ed)e(proton)i(parton)472
32831 4315 y(distributions)e(w)m(ere)j(not)e(used,)h(1)f(large)f
32832 Fj(x)h Fw(and)h Fj(Q)2362 4279 y Fl(2)2401 4315 y Fw(,)f(2)g(small)e
32833 Fj(Q)2873 4279 y Fl(2)2945 4315 y Fw(but)i(large)f Fj(x)p
32834 Fw(,)i(3)f(small)472 4424 y Fj(x)h Fw(but)g(large)f Fj(Q)1055
32835 4387 y Fl(2)1127 4424 y Fw(and)h(4)f(small)e Fj(x)j Fw(and)g
32836 Fj(Q)2008 4387 y Fl(2)2047 4424 y Fw(.)0 4532 y Fq(MINT\(93\))53
32837 b(:)48 b Fw(is)37 b(used)i(to)f(k)m(eep)h(trac)m(k)g(of)e(parton)h
32838 (distribution)e(set)j(used)g(in)e(the)h(latest)g Fq(STRUCTM)472
32839 4640 y Fw(call)50 b(to)g Fm(Pdflib)p Fw(.)100 b(The)52
32840 b(co)s(de)f(for)g(this)f(set)i(is)f(stored)g(in)g(the)g(form)f
32841 Fq(MINT\(93\))j(=)472 4749 y(1000000)p Fn(\002)p Fq(NPTYPE)j(+)51
32842 b(1000)p Fn(\002)p Fq(NGROUP)k(+)c(NSET)p Fw(.)28 b(The)f(stored)g
32843 (previous)g(v)-5 b(alue)26 b(is)g(com-)472 4857 y(pared)k(with)f(the)h
32844 (curren)m(t)g(new)g(v)-5 b(alue)29 b(to)g(decide)g(whether)i(a)e
32845 Fq(PDFSET)i Fw(call)c(is)i(needed)i(to)472 4965 y(switc)m(h)j(to)e
32846 (another)h(set.)0 5074 y Fq(MINT\(101\),)54 b(MINT\(102\))g(:)47
32847 b Fw(is)32 b(normally)e(1,)i(but)g(is)g(4)g(when)h(a)f(resolv)m(ed)h
32848 (photon)f(\(app)s(earing)g(on)472 5182 y(side)40 b(1)e(or)h(2\))g(can)g
32849 (b)s(e)g(represen)m(ted)j(b)m(y)e(either)f(of)f(the)i(four)f(v)m(ector)
32850 h(mesons)f Fj(\032)3482 5146 y Fl(0)3522 5182 y Fw(,)i
32851 Fj(!)t Fw(,)f Fj(\036)472 5290 y Fw(and)33 b(J)p Fj(= )t
32852 Fw(.)0 5399 y Fq(MINT\(103\),)54 b(MINT\(104\))g(:)47
32853 b Fw(KF)32 b(\015a)m(v)m(our)i(co)s(de)f(for)f(the)h(t)m(w)m(o)g
32854 (incoming)d(particles,)i(i.e.)44 b(the)33 b(same)472
32855 5507 y(as)j Fq(MINT\(11\))g Fw(and)f Fq(MINT\(12\))p
32856 Fw(.)53 b(The)36 b(exception)f(is)g(when)h(a)e(resolv)m(ed)i(photon)f
32857 (is)g(rep-)472 5615 y(resen)m(ted)j(b)m(y)e(a)f(v)m(ector)i(meson)e
32858 (\(a)h Fj(\032)1850 5579 y Fl(0)1889 5615 y Fw(,)h Fj(!)t
32859 Fw(,)e Fj(\036)g Fw(or)g(J)p Fj(= )t Fw(\).)52 b(Then)37
32860 b(the)f(co)s(de)g(of)f(the)g(v)m(ector)1817 5953 y(180)p
32861 eop
32862 %%Page: 181 187
32863 181 186 bop 472 -18 a Fw(meson)33 b(is)f(giv)m(en.)0
32864 90 y Fq(MINT\(105\))54 b(:)47 b Fw(is)39 b(either)g Fq(MINT\(103\))j
32865 Fw(or)d Fq(MINT\(104\))p Fw(,)44 b(dep)s(ending)39 b(on)h(whic)m(h)f
32866 (side)h(of)f(the)h(ev)m(en)m(t)472 198 y(curren)m(tly)34
32867 b(is)e(b)s(eing)g(studied.)0 307 y Fq(MINT\(107\),)54
32868 b(MINT\(108\))g(:)47 b Fw(if)42 b(either)g(or)h(b)s(oth)g(of)f(the)h(t)
32869 m(w)m(o)h(incoming)c(particles)i(is)h(a)f(photon,)472
32870 415 y(then)32 b(the)g(resp)s(ectiv)m(e)g(v)-5 b(alue)31
32871 b(giv)m(es)g(the)h(nature)f(assumed)h(for)e(that)h(photon.)43
32872 b(The)32 b(co)s(de)472 523 y(follo)m(ws)g(the)h(one)g(used)g(for)f
32873 Fq(MSTP\(14\))p Fw(:)236 632 y Fq(=)52 b(0)f(:)217 b
32874 Fw(direct)32 b(photon.)236 740 y Fq(=)52 b(1)f(:)217
32875 b Fw(resolv)m(ed)33 b(photon.)236 848 y Fq(=)52 b(2)f(:)217
32876 b Fw(VMD-lik)m(e)31 b(photon.)236 957 y Fq(=)52 b(3)f(:)217
32877 b Fw(anomalous)31 b(photon.)0 1065 y Fq(MINT\(109\))54
32878 b(:)47 b Fw(is)39 b(either)g Fq(MINT\(107\))j Fw(or)d
32879 Fq(MINT\(108\))p Fw(,)44 b(dep)s(ending)39 b(on)h(whic)m(h)f(side)h(of)
32880 f(the)h(ev)m(en)m(t)472 1173 y(curren)m(tly)34 b(is)e(b)s(eing)g
32881 (studied.)0 1282 y Fq(MINT\(111\))54 b(:)47 b Fw(the)42
32882 b(frame)e(giv)m(en)i(in)f Fq(PYINIT)i Fw(call,)f(0{5)e(for)h
32883 Fq('NONE')p Fw(,)i Fq('CMS')p Fw(,)g Fq('FIXT')p Fw(,)g
32884 Fq('USER')p Fw(,)472 1390 y Fq('FOUR')35 b Fw(and)d Fq('FIVE')p
32885 Fw(,)i(resp)s(ectiv)m(ely)-8 b(.)0 1498 y Fq(MINT\(121\))54
32886 b(:)47 b Fw(n)m(um)m(b)s(er)33 b(of)f(separate)i(ev)m(en)m(t)g(classes)
32887 g(to)e(initialize)c(and)33 b(mix.)236 1607 y Fq(=)52
32888 b(1)f(:)217 b Fw(the)33 b(normal)d(v)-5 b(alue.)236 1715
32889 y Fq(=)52 b(3)f(:)217 b Fw(for)32 b(a)g Fj(\015)5 b Fw(p)33
32890 b(in)m(teraction)e(when)j Fq(MSTP\(14\)=10)p Fw(.)236
32891 1823 y Fq(=)52 b(6)f(:)217 b Fw(for)32 b(a)g Fj(\015)5
32892 b(\015)38 b Fw(in)m(teraction)31 b(when)j Fq(MSTP\(14\)=10)p
32893 Fw(.)0 1932 y Fq(MINT\(122\))54 b(:)47 b Fw(ev)m(en)m(t)42
32894 b(class)e(used)h(in)e(curren)m(t)i(ev)m(en)m(t)h(for)e
32895 Fj(\015)5 b Fw(p)40 b(or)f Fj(\015)5 b(\015)45 b Fw(ev)m(en)m(ts)e
32896 (generated)d(with)g(the)472 2040 y Fq(MSTP\(14\)=10)c
32897 Fw(option;)31 b(co)s(de)i(as)g(describ)s(ed)h(for)e Fq(MSTI\(9\))p
32898 Fw(.)0 2148 y Fq(MINT\(123\))54 b(:)47 b Fw(ev)m(en)m(t)26
32899 b(class)f(used)g(in)e(the)i(curren)m(t)g(ev)m(en)m(t,)j(with)c(the)h
32900 (same)f(list)f(of)g(p)s(ossibilities)f(as)i(for)472 2257
32901 y Fq(MSTP\(14\))p Fw(,)30 b(except)e(that)f(options)f(1,)h(4)f(or)g(10)
32902 g(do)h(not)f(app)s(ear.)41 b(Apart)27 b(from)e(a)h(di\013eren)m(t)472
32903 2365 y(co)s(ding,)32 b(this)g(is)g(exactly)h(the)g(same)g(information)c
32904 (as)k(is)f(a)m(v)-5 b(ailable)30 b(in)i Fq(MINT\(122\))p
32905 Fw(.)0 2528 y Fq(VINT\(1\))53 b(:)48 b Fj(E)581 2543
32906 y Fl(cm)675 2528 y Fw(,)33 b(c.m.)43 b(energy)-8 b(.)0
32907 2636 y Fq(VINT\(2\))53 b(:)48 b Fj(s)32 b Fw(\(=)c Fj(E)807
32908 2600 y Fl(2)801 2661 y(cm)895 2636 y Fw(\))33 b(squared)h(mass)e(of)g
32909 (complete)g(system.)0 2744 y Fq(VINT\(3\))53 b(:)48 b
32910 Fw(mass)32 b(of)g(b)s(eam)g(particle.)0 2853 y Fq(VINT\(4\))53
32911 b(:)48 b Fw(mass)32 b(of)g(target)h(particle.)0 2961
32912 y Fq(VINT\(5\))53 b(:)48 b Fw(momen)m(tum)31 b(of)h(b)s(eam)g(\(and)g
32913 (target\))g(particle)g(in)g(c.m.)43 b(frame.)0 3069 y
32914 Fq(VINT\(6\))53 b(-)f(VINT\(10\))h(:)48 b Fj(\022)s Fw(,)g
32915 Fj(')d Fw(and)h Fb(\014)i Fw(for)d(rotation)e(and)j(b)s(o)s(ost)e(from)
32916 h(c.m.)81 b(frame)44 b(to)h(user-)472 3178 y(sp)s(eci\014ed)34
32917 b(frame.)0 3286 y Fq(VINT\(11\))53 b(:)48 b Fj(\034)602
32918 3301 y Fl(min)724 3286 y Fw(.)0 3394 y Fq(VINT\(12\))53
32919 b(:)48 b Fj(y)608 3409 y Fl(min)729 3394 y Fw(.)0 3517
32920 y Fq(VINT\(13\))53 b(:)48 b Fw(cos)715 3491 y(^)707 3517
32921 y Fj(\022)752 3532 y Fl(min)907 3517 y Fw(for)32 b(cos)1211
32922 3491 y(^)1203 3517 y Fj(\022)f Fn(\024)d Fw(0.)0 3636
32923 y Fq(VINT\(14\))53 b(:)48 b Fw(cos)715 3610 y(^)707 3636
32924 y Fj(\022)752 3651 y Fl(min)907 3636 y Fw(for)32 b(cos)1211
32925 3610 y(^)1203 3636 y Fj(\022)f Fn(\025)d Fw(0.)0 3745
32926 y Fq(VINT\(15\))53 b(:)48 b Fj(x)615 3708 y Fl(2)615
32927 3769 y Fk(?)p Fl(min)792 3745 y Fw(.)0 3853 y Fq(VINT\(16\))53
32928 b(:)48 b Fj(\034)613 3817 y Fk(0)602 3878 y Fl(min)724
32929 3853 y Fw(.)0 3961 y Fq(VINT\(21\))53 b(:)48 b Fj(\034)11
32930 b Fw(.)0 4070 y Fq(VINT\(22\))53 b(:)48 b Fj(y)t Fw(.)0
32931 4193 y Fq(VINT\(23\))53 b(:)48 b Fw(cos)715 4166 y(^)707
32932 4193 y Fj(\022)s Fw(.)0 4301 y Fq(VINT\(24\))53 b(:)48
32933 b Fj(')32 b Fw(\(azim)m(uthal)f(angle\).)0 4409 y Fq(VINT\(25\))53
32934 b(:)48 b Fj(x)615 4373 y Fl(2)615 4434 y Fk(?)674 4409
32935 y Fw(.)0 4518 y Fq(VINT\(26\))53 b(:)48 b Fj(\034)613
32936 4482 y Fk(0)637 4518 y Fw(.)0 4626 y Fq(VINT\(31\))53
32937 b(:)48 b Fj(\034)602 4641 y Fl(max)738 4626 y Fw(.)0
32938 4734 y Fq(VINT\(32\))53 b(:)48 b Fj(y)608 4749 y Fl(max)743
32939 4734 y Fw(.)0 4858 y Fq(VINT\(33\))53 b(:)48 b Fw(cos)715
32940 4831 y(^)707 4858 y Fj(\022)752 4873 y Fl(max)921 4858
32941 y Fw(for)32 b(cos)1225 4831 y(^)1217 4858 y Fj(\022)f
32942 Fn(\024)d Fw(0.)0 4976 y Fq(VINT\(34\))53 b(:)48 b Fw(cos)715
32943 4950 y(^)707 4976 y Fj(\022)752 4991 y Fl(max)921 4976
32944 y Fw(for)32 b(cos)1225 4950 y(^)1217 4976 y Fj(\022)f
32945 Fn(\025)d Fw(0.)0 5085 y Fq(VINT\(35\))53 b(:)48 b Fj(x)615
32946 5048 y Fl(2)615 5109 y Fk(?)p Fl(max)806 5085 y Fw(.)0
32947 5193 y Fq(VINT\(36\))53 b(:)48 b Fj(\034)613 5157 y Fk(0)602
32948 5218 y Fl(max)738 5193 y Fw(.)0 5301 y Fq(VINT\(41\),)54
32949 b(VINT\(42\))f(:)48 b Fw(the)e(momen)m(tum)f(fractions)g
32950 Fj(x)i Fw(tak)m(en)g(b)m(y)g(the)g(partons)f(at)g(the)g(hard)472
32951 5410 y(in)m(teraction,)32 b(as)h(used)h(e.g.)43 b(in)32
32952 b(the)h(parton-distribution)d(functions.)0 5530 y Fq(VINT\(43\))53
32953 b(:)66 b Fw(^)-67 b Fj(m)28 b Fw(=)776 5445 y Fn(p)p
32954 859 5445 46 4 v 863 5530 a Fw(^)-53 b Fj(s)p Fw(,)33
32955 b(mass)g(of)f(hard-scattering)g(subsystem.)0 5638 y Fq(VINT\(44\))53
32956 b(:)f Fw(^)-53 b Fj(s)32 b Fw(of)g(the)h(hard)g(subpro)s(cess)i(\(2)27
32957 b Fn(!)g Fw(2)33 b(or)f(2)27 b Fn(!)h Fw(1\).)1817 5953
32958 y(181)p eop
32959 %%Page: 182 188
32960 182 187 bop 0 -18 a Fq(VINT\(45\))53 b(:)561 -37 y Fw(^)560
32961 -18 y Fj(t)33 b Fw(of)f(the)h(hard)f(subpro)s(cess)j(\(2)27
32962 b Fn(!)h Fw(2)k(or)g(2)c Fn(!)f Fw(1)g Fn(!)h Fw(2\).)0
32963 90 y Fq(VINT\(46\))53 b(:)h Fw(^)-55 b Fj(u)32 b Fw(of)g(the)h(hard)g
32964 (subpro)s(cess)h(\(2)28 b Fn(!)f Fw(2)32 b(or)h(2)27
32965 b Fn(!)g Fw(1)h Fn(!)f Fw(2\).)0 198 y Fq(VINT\(47\))53
32966 b(:)j Fw(^)-57 b Fj(p)609 213 y Fk(?)698 198 y Fw(of)30
32967 b(the)h(hard)g(subpro)s(cess)h(\(2)27 b Fn(!)h Fw(2)i(or)g(2)d
32968 Fn(!)h Fw(1)f Fn(!)g Fw(2\),)k(i.e.)42 b(transv)m(erse)33
32969 b(momen)m(tum)472 307 y(ev)-5 b(aluated)33 b(in)f(the)h(rest)g(frame)e
32970 (of)i(the)g(scattering.)0 415 y Fq(VINT\(48\))53 b(:)j
32971 Fw(^)-57 b Fj(p)609 379 y Fl(2)609 440 y Fk(?)700 415
32972 y Fw(of)33 b(the)g(hard)f(subpro)s(cess;)j(see)f Fq(VINT\(47\))p
32973 Fw(.)0 523 y Fq(VINT\(49\))53 b(:)66 b Fw(^)-67 b Fj(m)645
32974 487 y Fk(0)669 523 y Fw(,)44 b(the)f(mass)f(of)g(the)g(complete)g
32975 (three-)g(or)g(four-b)s(o)s(dy)g(\014nal)f(state)i(in)e(2)j
32976 Fn(!)g Fw(3)e(or)472 632 y(2)28 b Fn(!)f Fw(4)32 b(pro)s(cesses.)0
32977 740 y Fq(VINT\(50\))53 b(:)f Fw(^)-53 b Fj(s)606 704
32978 y Fk(0)657 740 y Fw(=)46 b(^)-68 b Fj(m)845 704 y Fk(0)p
32979 Fl(2)904 740 y Fw(;)33 b(see)h Fq(VINT\(49\))p Fw(.)0
32980 848 y Fq(VINT\(51\))53 b(:)48 b Fj(Q)43 b Fw(of)f(the)h(hard)g(subpro)s
32981 (cess.)77 b(The)43 b(exact)h(de\014nition)e(is)g(pro)s(cess-dep)s
32982 (enden)m(t,)48 b(see)472 957 y Fq(MSTP\(32\))p Fw(.)0
32983 1065 y Fq(VINT\(52\))53 b(:)48 b Fj(Q)637 1029 y Fl(2)709
32984 1065 y Fw(of)32 b(the)h(hard)g(subpro)s(cess;)i(see)e
32985 Fq(VINT\(51\))p Fw(.)0 1173 y Fq(VINT\(53\))53 b(:)48
32986 b Fj(Q)24 b Fw(of)f(the)h(outer)g(hard-scattering)f(subpro)s(cess.)43
32987 b(Agrees)24 b(with)g Fq(VINT\(51\))h Fw(for)f(a)f(2)k
32988 Fn(!)h Fw(1)472 1282 y(or)35 b(2)d Fn(!)f Fw(2)k(pro)s(cess.)52
32989 b(F)-8 b(or)34 b(a)h(2)c Fn(!)h Fw(3)i(or)h(2)d Fn(!)f
32990 Fw(4)k(W)q Fj(=)p Fw(Z)g(fusion)f(pro)s(cess,)j(it)d(is)g(set)i(b)m(y)g
32991 (the)472 1390 y(W)q Fj(=)p Fw(Z)d(mass)f(scale,)h(and)g(for)f(subpro)s
32992 (cesses)j(121)d(and)h(122)f(b)m(y)h(the)g(hea)m(vy-quark)i(mass.)0
32993 1498 y Fq(VINT\(54\))53 b(:)48 b Fj(Q)637 1462 y Fl(2)709
32994 1498 y Fw(of)32 b(the)h(outer)g(hard-scattering)f(subpro)s(cess;)j(see)
32995 e Fq(VINT\(53\))p Fw(.)0 1607 y Fq(VINT\(55\))53 b(:)48
32996 b Fj(Q)24 b Fw(scale)g(used)h(as)f(maxim)m(um)e(virtualit)m(y)g(in)i
32997 (parton)f(sho)m(w)m(ers.)43 b(Is)25 b(equal)f(to)f Fq(VINT\(53\))p
32998 Fw(,)472 1715 y(except)35 b(for)d(deep-inelastic-scattering)f(pro)s
32999 (cesses)j(when)g Fq(MSTP\(22\))p Fj(>)c Fw(0.)0 1823
33000 y Fq(VINT\(56\))53 b(:)48 b Fj(Q)637 1787 y Fl(2)709
33001 1823 y Fw(scale)33 b(in)f(parton)g(sho)m(w)m(ers;)j(see)e
33002 Fq(VINT\(55\))p Fw(.)0 1932 y Fq(VINT\(57\))53 b(:)48
33003 b Fj(\013)622 1947 y Fl(em)749 1932 y Fw(v)-5 b(alue)32
33004 b(of)g(hard)h(pro)s(cess.)0 2040 y Fq(VINT\(58\))53 b(:)48
33005 b Fj(\013)622 2055 y Fl(s)686 2040 y Fw(v)-5 b(alue)32
33006 b(of)h(hard)f(pro)s(cess.)0 2163 y Fq(VINT\(59\))53 b(:)48
33007 b Fw(sin)704 2137 y(^)696 2163 y Fj(\022)43 b Fw(\(cf.)66
33008 b Fq(VINT\(23\))p Fw(\);)46 b(used)41 b(for)e(impro)m(v)m(ed)h(n)m
33009 (umerical)f(precision)g(in)g(elastic)g(and)472 2272 y(di\013ractiv)m(e)
33010 32 b(scattering.)0 2380 y Fq(VINT\(61\),)54 b(VINT\(62\))f(:)48
33011 b Fw(nominal)40 b Fj(m)1542 2344 y Fl(2)1625 2380 y Fw(v)-5
33012 b(alues,)46 b(i.e.)75 b(without)43 b(initial-state)c(radiation)i
33013 (e\013ects,)472 2488 y(for)32 b(the)h(t)m(w)m(o)h(partons)f(en)m
33014 (tering)f(the)h(hard)g(in)m(teraction.)0 2597 y Fq(VINT\(63\),)54
33015 b(VINT\(64\))f(:)48 b Fw(nominal)31 b Fj(m)1533 2560
33016 y Fl(2)1607 2597 y Fw(v)-5 b(alues,)34 b(i.e.)47 b(without)33
33017 b(\014nal-state)h(radiation)d(e\013ects,)36 b(for)472
33018 2705 y(the)d(t)m(w)m(o)h(\(or)e(one\))h(partons/particles)e(lea)m(ving)
33019 h(the)h(hard)g(in)m(teraction.)0 2813 y Fq(VINT\(65\))53
33020 b(:)j Fw(^)-57 b Fj(p)609 2828 y Fl(init)719 2813 y Fw(,)34
33021 b(i.e.)45 b(common)32 b(nominal)f(absolute)j(momen)m(tum)e(of)h(the)h
33022 (t)m(w)m(o)g(partons)f(en)m(tering)472 2922 y(the)g(hard)g(in)m
33023 (teraction,)f(in)f(their)h(rest)i(frame.)0 3030 y Fq(VINT\(66\))53
33024 b(:)j Fw(^)-57 b Fj(p)609 3045 y Fl(\014n)691 3030 y
33025 Fw(,)42 b(i.e.)63 b(common)39 b(nominal)d(absolute)k(momen)m(tum)e(of)h
33026 (the)h(t)m(w)m(o)g(partons)f(lea)m(ving)472 3138 y(the)33
33027 b(hard)g(in)m(teraction,)f(in)f(their)h(rest)i(frame.)0
33028 3247 y Fq(VINT\(67\),)54 b(VINT\(68\))f(:)48 b Fw(mass)g(of)h(b)s(eam)f
33029 (and)h(target)f(particle,)k(as)d Fq(VINT\(3\))i Fw(and)e
33030 Fq(VINT\(4\))p Fw(,)472 3355 y(except)41 b(that)d(an)h(incoming)d
33031 Fj(\015)44 b Fw(is)38 b(assigned)h(the)h Fj(\032)2383
33032 3319 y Fl(0)2422 3355 y Fw(,)h Fj(!)h Fw(or)c Fj(\036)g
33033 Fw(mass.)62 b(Used)40 b(for)e(elastic)472 3463 y(scattering)33
33034 b Fj(\015)5 b Fw(p)28 b Fn(!)f Fj(\032)1238 3427 y Fl(0)1278
33035 3463 y Fw(p)32 b(and)h(other)g(similar)c(pro)s(cesses.)0
33036 3572 y Fq(VINT\(71\))53 b(:)48 b Fj(p)609 3587 y Fk(?)p
33037 Fl(min)813 3572 y Fw(of)27 b(pro)s(cess,)i(i.e.)42 b
33038 Fq(CKIN\(3\))29 b Fw(or)e Fq(CKIN\(5\))p Fw(,)j(dep)s(ending)e(on)f
33039 (whic)m(h)h(is)f(larger,)g(and)472 3680 y(whether)34
33040 b(the)f(pro)s(cess)h(is)e(singular)f(in)h Fj(p)1984 3695
33041 y Fk(?)2071 3680 y Fn(!)27 b Fw(0)32 b(or)h(not.)0 3788
33042 y Fq(VINT\(73\))53 b(:)48 b Fj(\034)39 b Fw(=)28 b Fj(m)830
33043 3752 y Fl(2)869 3788 y Fj(=s)33 b Fw(v)-5 b(alue)32 b(of)g(\014rst)h
33044 (resonance,)h(if)d(an)m(y;)j(see)f Fq(MINT\(73\))p Fw(.)0
33045 3897 y Fq(VINT\(74\))53 b(:)48 b Fj(m)p Fw(\000)p Fj(=s)32
33046 b Fw(v)-5 b(alue)32 b(of)h(\014rst)g(resonance,)h(if)d(an)m(y;)i(see)h
33047 Fq(MINT\(73\))p Fw(.)0 4005 y Fq(VINT\(75\))53 b(:)48
33048 b Fj(\034)39 b Fw(=)28 b Fj(m)830 3969 y Fl(2)869 4005
33049 y Fj(=s)33 b Fw(v)-5 b(alue)32 b(of)g(second)i(resonance,)g(if)d(an)m
33050 (y;)i(see)h Fq(MINT\(74\))p Fw(.)0 4113 y Fq(VINT\(76\))53
33051 b(:)48 b Fj(m)p Fw(\000)p Fj(=s)32 b Fw(v)-5 b(alue)32
33052 b(of)h(second)g(resonance,)h(if)e(an)m(y;)h(see)h Fq(MINT\(74\))p
33053 Fw(.)0 4222 y Fq(VINT\(80\))53 b(:)48 b Fw(correction)40
33054 b(factor)f(\(ev)-5 b(aluated)40 b(in)f Fq(PYOFSH)p Fw(\))j(for)d(the)i
33055 (cross)g(section)f(of)g(resonances)472 4330 y(pro)s(duced)30
33056 b(in)e(2)g Fn(!)f Fw(2)h(pro)s(cesses,)k(if)c(only)g(some)h(mass)f
33057 (range)h(of)g(the)g(full)e(Breit{Wigner)472 4438 y(shap)s(e)34
33058 b(is)e(allo)m(w)m(ed)g(b)m(y)h(user-set)h(mass)e(cuts)i(\()p
33059 Fq(CKIN\(2\))p Fw(,)g Fq(CKIN\(45\))54 b(-)d(CKIN\(48\))p
33060 Fw(\).)0 4547 y Fq(VINT\(81\))i(-)f(VINT\(84\))h(:)48
33061 b Fw(the)39 b(cos)17 b Fj(\022)42 b Fw(and)d Fj(')g Fw(v)-5
33062 b(ariables)37 b(of)h(a)h(true)g(2)f Fn(!)g Fw(3)h(pro)s(cess,)i(where)f
33063 (one)472 4655 y(pro)s(duct)33 b(is)e(a)h(resonance,)h(e\013ectiv)m(ely)
33064 g(giving)d(2)d Fn(!)h Fw(4.)43 b(The)33 b(\014rst)f(t)m(w)m(o)g(are)g
33065 (cos)18 b Fj(\022)35 b Fw(and)d Fj(')472 4763 y Fw(for)d(the)h
33066 (resonance)h(deca)m(y)-8 b(,)32 b(the)e(other)g(t)m(w)m(o)g(ditto)e
33067 (for)h(the)h(e\013ectiv)m(e)h(system)g(formed)e(b)m(y)472
33068 4872 y(the)k(other)g(t)m(w)m(o)g(particles.)0 4980 y
33069 Fq(VINT\(85\),)54 b(VINT\(86\))f(:)48 b Fw(transv)m(erse)43
33070 b(momen)m(ta)c(in)h(a)h(true)g(2)h Fn(!)f Fw(3)g(pro)s(cess;)46
33071 b(one)41 b(is)g(stored)g(in)472 5088 y Fq(VINT\(47\))d
33072 Fw(\(that)d(of)f(the)i(Z)1514 5052 y Fl(0)1588 5088 y
33073 Fw(in)f(gg)e Fn(!)e Fw(Z)2027 5052 y Fl(0)2066 5088 y
33074 Fw(Q)p 2142 5010 76 4 v(Q\),)36 b(while)e(the)i(smaller)d(of)i(the)g
33075 (other)h(t)m(w)m(o)472 5197 y(is)d(stored)g(in)f Fq(VINT\(85\))i
33076 Fw(and)f(the)g(larger)e(in)h Fq(VINT\(86\))p Fw(.)0 5305
33077 y Fq(VINT\(91\),)54 b(VINT\(92\))f(:)48 b Fw(giv)m(es)c(a)g
33078 (dimensionless)f(suppression)i(factor,)h(to)e(tak)m(e)g(in)m(to)g
33079 (accoun)m(t)472 5413 y(reduction)30 b(in)e(cross)j(section)e(due)h(to)f
33080 (the)h(allo)m(w)m(ed)f(c)m(hannels)h(for)f(a)g(W)3093
33081 5377 y Fl(+)3152 5413 y Fw(W)3253 5377 y Fl(+)3342 5413
33082 y Fw(or)g(W)3559 5377 y Fk(\000)3619 5413 y Fw(W)3720
33083 5377 y Fk(\000)472 5522 y Fw(pair,)h(resp)s(ectiv)m(ely)-8
33084 b(,)32 b(in)e(the)g(same)h(sense)h(as)e Fq(WIDS\(24,1\))j
33085 Fw(giv)m(es)e(it)e(for)h(a)g(W)3334 5486 y Fl(+)3394
33086 5522 y Fw(W)3495 5486 y Fk(\000)3584 5522 y Fw(pair.)0
33087 5630 y Fq(VINT\(95\))53 b(:)48 b Fw(the)43 b(v)-5 b(alue)42
33088 b(of)g(the)h(Coulom)m(b)e(factor)h(in)g(the)h(curren)m(t)g(ev)m(en)m
33089 (t,)k(see)d Fq(MSTP\(40\))p Fw(.)75 b(F)-8 b(or)1817
33090 5953 y(182)p eop
33091 %%Page: 183 189
33092 183 188 bop 472 -18 a Fq(MSTP\(40\)=0)36 b Fw(it)31 b(is)h(=)c(1,)k
33093 (else)h(it)f(is)g Fj(>)27 b Fw(1.)0 90 y Fq(VINT\(98\))53
33094 b(:)48 b Fw(is)32 b(sum)g(of)40 b Fq(VINT\(100\))34 b
33095 Fw(v)-5 b(alues)33 b(for)f(curren)m(t)i(run.)0 198 y
33096 Fq(VINT\(99\))53 b(:)48 b Fw(is)32 b(w)m(eigh)m(t)h Fq(WTXS)h
33097 Fw(returned)f(from)f Fq(PYEVWT)i Fw(call)d(when)j Fq(MSTP\(142\))p
33098 Fn(\025)c Fw(1,)j(otherwise)g(is)472 307 y(1.)0 415 y
33099 Fq(VINT\(100\))54 b(:)47 b Fw(is)22 b(comp)s(ensating)f(w)m(eigh)m(t)i
33100 Fq(1./WTXS)h Fw(that)e(should)g(b)s(e)g(asso)s(ciated)g(with)g(ev)m(en)
33101 m(ts)i(when)472 523 y Fq(MSTP\(142\)=1)p Fw(,)36 b(otherwise)d(is)f(1.)
33102 0 632 y Fq(VINT\(108\))54 b(:)47 b Fw(ratio)30 b(of)h(maxim)m(um)e
33103 (di\013eren)m(tial)h(cross)i(section)g(observ)m(ed)i(to)d(maxim)m(um)e
33104 (di\013eren-)472 740 y(tial)i(cross)i(section)g(assumed)g(for)f(the)h
33105 (generation;)f(cf.)44 b Fq(MSTP\(123\))p Fw(.)0 848 y
33106 Fq(VINT\(109\))54 b(:)47 b Fw(ratio)25 b(of)h(minimal)d(\(negativ)m
33107 (e!\))41 b(cross)28 b(section)e(observ)m(ed)j(to)d(maxim)m(um)e
33108 (di\013eren)m(tial)472 957 y(cross)36 b(section)f(assumed)g(for)g(the)g
33109 (generation;)g(could)f(only)g(b)s(ecome)h(negativ)m(e)g(if)f(cross)472
33110 1065 y(sections)g(are)e(incorrectly)g(included.)0 1173
33111 y Fq(VINT\(111\))54 b(-)d(VINT\(116\))j(:)47 b Fw(for)h
33112 Fq(MINT\(61\)=1)j Fw(giv)m(es)e(kinematical)c(factors)k(for)f(the)g
33113 (di\013eren)m(t)472 1282 y(pieces)43 b(con)m(tributing)e(to)h
33114 Fj(\015)1514 1245 y Fk(\003)1554 1282 y Fj(=)p Fw(Z)1663
33115 1245 y Fl(0)1744 1282 y Fw(or)f Fj(\015)1928 1245 y Fk(\003)1968
33116 1282 y Fj(=)p Fw(Z)2077 1245 y Fl(0)2116 1282 y Fj(=)p
33117 Fw(Z)2225 1245 y Fk(0)p Fl(0)2325 1282 y Fw(pro)s(duction,)j(for)d
33118 Fq(MINT\(61\)=2)k Fw(giv)m(es)472 1390 y(sum)30 b(of)f(\014nal-state)f
33119 (w)m(eigh)m(ts)j(for)e(the)h(same;)g(co)s(e\016cien)m(ts)h(are)e(giv)m
33120 (en)h(in)e(the)i(order)g(pure)472 1498 y Fj(\015)528
33121 1462 y Fk(\003)568 1498 y Fw(,)47 b Fj(\015)698 1462
33122 y Fk(\003)737 1498 y Fw({Z)846 1462 y Fl(0)929 1498 y
33123 Fw(in)m(terference,)h Fj(\015)1552 1462 y Fk(\003)1591
33124 1498 y Fw({Z)1700 1462 y Fk(0)p Fl(0)1802 1498 y Fw(in)m(terference,)g
33125 (pure)d(Z)2663 1462 y Fl(0)2702 1498 y Fw(,)h(Z)2835
33126 1462 y Fl(0)2875 1498 y Fw({Z)2984 1462 y Fk(0)p Fl(0)3085
33127 1498 y Fw(in)m(terference)f(and)472 1607 y(pure)34 b(Z)755
33128 1571 y Fk(0)p Fl(0)813 1607 y Fw(.)0 1715 y Fq(VINT\(117\))54
33129 b(:)47 b Fw(width)33 b(of)f(Z)1059 1679 y Fl(0)1098 1715
33130 y Fw(;)g(needed)i(in)e Fj(\015)1652 1679 y Fk(\003)1692
33131 1715 y Fj(=)p Fw(Z)1801 1679 y Fl(0)1840 1715 y Fj(=)p
33132 Fw(Z)1949 1679 y Fk(0)p Fl(0)2039 1715 y Fw(pro)s(duction.)0
33133 1823 y Fq(VINT\(131\))54 b(:)47 b Fw(total)39 b(cross)h(section)g(\(in)
33134 f(m)m(b\))h(for)f(subpro)s(cesses)k(allo)m(w)m(ed)c(in)g(the)i(pile-up)
33135 d(ev)m(en)m(ts)472 1932 y(scenario)33 b(according)f(to)g(the)h
33136 Fq(MSTP\(132\))i Fw(v)-5 b(alue.)0 2040 y Fq(VINT\(132\))54
33137 b(:)p 611 1987 59 4 v 47 w Fj(n)28 b Fw(=)p Fq(VINT\(131\))p
33138 Fn(\002)p Fq(PARP\(131\))p Fw(,)38 b(cf.)43 b Fq(PARI\(91\))p
33139 Fw(.)0 2148 y Fq(VINT\(133\))54 b(:)47 b Fn(h)p Fj(n)p
33140 Fn(i)37 b Fw(=)898 2082 y Fg(P)985 2169 y Fh(i)1030 2148
33141 y Fj(i)17 b Fn(P)1149 2163 y Fh(i)1178 2148 y Fj(=)1244
33142 2082 y Fg(P)1331 2169 y Fh(i)1375 2148 y Fn(P)1444 2163
33143 y Fh(i)1511 2148 y Fw(as)39 b(actually)e(sim)m(ulated,)h(i.e.)61
33144 b(1)37 b Fn(\024)h Fj(i)g Fn(\024)g Fw(200)g(\(or)f(smaller\),)472
33145 2257 y(see)d Fq(PARI\(92\))p Fw(.)0 2365 y Fq(VINT\(134\))54
33146 b(:)47 b Fw(n)m(um)m(b)s(er)h(related)e(to)h(probabilit)m(y)e(to)h(ha)m
33147 (v)m(e)i(ev)m(en)m(t)h(in)d(b)s(eam{b)s(eam)g(crossing;)54
33148 b(is)472 2473 y(exp)q(\()p Fn(\000)p 736 2421 V Fj(n)q
33149 Fw(\))850 2407 y Fg(P)937 2494 y Fh(i)p 982 2421 V 982
33150 2473 a Fj(n)1040 2437 y Fh(i)1068 2473 y Fj(=i)p Fw(!)24
33151 b(for)f Fq(MSTP\(133\)=1)k Fw(and)d(exp)q(\()p Fn(\000)p
33152 2374 2421 V Fj(n)p Fw(\))2487 2407 y Fg(P)2574 2494 y
33153 Fh(i)p 2619 2421 V 2619 2473 a Fj(n)2678 2437 y Fh(i)2706
33154 2473 y Fj(=)p Fw(\()p Fj(i)t Fn(\000)t Fw(1\)!)f(for)h
33155 Fq(MSTP\(133\)=2)p Fw(,)472 2582 y(cf.)44 b Fq(PARI\(93\))p
33156 Fw(.)0 2690 y Fq(VINT\(138\))54 b(:)47 b Fw(size)26 b(of)e(the)i
33157 (threshold)f(factor)g(\(enhancemen)m(t)i(or)d(suppression\))j(in)d(the)
33158 i(latest)f(ev)m(en)m(t)472 2798 y(with)33 b(hea)m(vy-\015a)m(v)m(our)h
33159 (pro)s(duction;)e(see)i Fq(MSTP\(35\))p Fw(.)0 2907 y
33160 Fq(VINT\(141\),)54 b(VINT\(142\))g(:)47 b Fj(x)33 b Fw(v)-5
33161 b(alues)32 b(for)g(the)h(parton-sho)m(w)m(er)h(initiators)c(of)i(the)h
33162 (hardest)g(in)m(ter-)472 3015 y(action;)f(used)i(to)e(\014nd)h(what)g
33163 (is)f(left)g(for)g(m)m(ultiple)e(in)m(teractions.)0 3123
33164 y Fq(VINT\(143\),)54 b(VINT\(144\))g(:)47 b Fw(1)t Fn(\000)1309
33165 3057 y Fg(P)1396 3144 y Fh(i)1441 3123 y Fj(x)1496 3138
33166 y Fh(i)1548 3123 y Fw(for)23 b(all)e(scatterings;)27
33167 b(used)e(for)e(rescaling)f(eac)m(h)j(new)f Fj(x)p Fw(-v)-5
33168 b(alue)472 3232 y(in)32 b(the)h(m)m(ultiple-in)m(teraction)c
33169 (parton-distribution-function)g(ev)-5 b(aluation.)0 3340
33170 y Fq(VINT\(145\))54 b(:)47 b Fw(estimate)26 b(of)g(total)e
33171 (parton{parton)i(cross)h(section)g(for)f(m)m(ultiple)d(in)m
33172 (teractions;)28 b(used)472 3448 y(for)k Fq(MSTP\(82\))p
33173 Fn(\025)f Fw(2.)0 3557 y Fq(VINT\(146\))54 b(:)47 b Fw(common)38
33174 b(correction)h(factor)g Fj(f)1804 3572 y Fh(c)1878 3557
33175 y Fw(in)g(the)h(m)m(ultiple-in)m(teraction)35 b(probabilit)m(y;)41
33176 b(used)472 3665 y(for)32 b Fq(MSTP\(82\))p Fn(\025)f
33177 Fw(2)h(\(part)g(of)g Fj(e)p Fw(\()p Fj(b)p Fw(\),)i(see)f(eq.)h
33178 (\(171\)\).)0 3774 y Fq(VINT\(147\))54 b(:)47 b Fw(a)m(v)m(erage)32
33179 b(hadronic)f(matter)f(o)m(v)m(erlap;)h(used)i(for)d Fq(MSTP\(82\))p
33180 Fn(\025)g Fw(2)h(\(needed)i(in)d(ev)-5 b(alua-)472 3882
33181 y(tion)32 b(of)g Fj(e)p Fw(\()p Fj(b)p Fw(\),)h(see)h(eq.)f(\(171\)\).)
33182 0 3990 y Fq(VINT\(148\))54 b(:)47 b Fw(enhancemen)m(t)24
33183 b(factor)d(for)h(curren)m(t)h(ev)m(en)m(t)h(in)e(the)g(m)m(ultiple-in)m
33184 (teraction)c(probabilit)m(y)-8 b(,)472 4099 y(de\014ned)27
33185 b(as)e(the)h(actual)e(o)m(v)m(erlap)h(divided)g(b)m(y)h(the)g(a)m(v)m
33186 (erage)g(one;)i(used)e(for)e Fq(MSTP\(82\))p Fn(\025)31
33187 b Fw(2)472 4207 y(\(is)h Fj(e)p Fw(\()p Fj(b)p Fw(\))i(of)e(eq.)h
33188 (\(171\)\).)0 4315 y Fq(VINT\(149\))54 b(:)47 b Fj(x)666
33189 4279 y Fl(2)666 4340 y Fk(?)773 4315 y Fw(cut-o\013)h(or)f(turn-o\013)g
33190 (for)h(m)m(ultiple)d(in)m(teractions.)89 b(F)-8 b(or)46
33191 b Fq(MSTP\(82\))p Fn(\024)57 b Fw(1)47 b(it)g(is)472
33192 4424 y(4)p Fj(p)570 4387 y Fl(2)570 4448 y Fk(?)p Fl(min)747
33193 4424 y Fj(=s)p Fw(,)32 b(for)g Fq(MSTP\(82\))p Fn(\025)e
33194 Fw(2)j(it)e(is)h(4)p Fj(p)1940 4387 y Fl(2)1940 4448
33195 y Fk(?)p Fl(0)2034 4424 y Fj(=s)p Fw(.)0 4532 y Fq(VINT\(150\))54
33196 b(:)47 b Fw(probabilit)m(y)31 b(to)i(k)m(eep)i(the)e(giv)m(en)g(ev)m
33197 (en)m(t)i(in)e(the)g(m)m(ultiple-in)m(teraction)c(scenario,)k(as)472
33198 4640 y(giv)m(en)g(b)m(y)h(the)f(`Sudak)m(o)m(v')h(form)d(factor.)0
33199 4749 y Fq(VINT\(151\),)54 b(VINT\(152\))g(:)47 b Fw(sum)33
33200 b(of)f Fj(x)h Fw(v)-5 b(alues)32 b(for)g(all)f(the)i(m)m(ultiple-in)m
33201 (teraction)28 b(partons.)0 4857 y Fq(VINT\(153\))54 b(:)47
33202 b Fw(curren)m(t)34 b(di\013eren)m(tial)c(cross)j(section)g(v)-5
33203 b(alue)31 b(obtained)h(from)f Fq(PYSIGH)p Fw(;)j(used)g(in)d(m)m(ul-)
33204 472 4965 y(tiple)h(in)m(teractions)g(only)-8 b(.)0 5074
33205 y Fq(VINT\(155\),)54 b(VINT\(156\))g(:)47 b Fw(the)36
33206 b Fj(x)f Fw(v)-5 b(alue)35 b(of)f(a)h(photon)g(that)g(branc)m(hes)i(in)
33207 m(to)d(quarks)i(or)f(gluons,)472 5182 y(i.e.)43 b Fj(x)33
33208 b Fw(at)g(in)m(terface)f(b)s(et)m(w)m(een)j(initial-state)29
33209 b(QED)j(and)h(QCD)f(cascades.)0 5290 y Fq(VINT\(157\),)54
33210 b(VINT\(158\))g(:)47 b Fw(the)33 b(primordial)c Fj(k)1871
33211 5305 y Fk(?)1962 5290 y Fw(v)-5 b(alues)33 b(selected)g(in)f(the)h(t)m
33212 (w)m(o)g(b)s(eam)f(remnan)m(ts.)0 5399 y Fq(VINT\(159\),)54
33213 b(VINT\(160\))g(:)47 b Fw(the)25 b Fj(\037)f Fw(v)-5
33214 b(alues)25 b(selected)g(for)f(b)s(eam)g(remnan)m(ts)g(that)h(are)f
33215 (split)f(in)m(to)h(t)m(w)m(o)472 5507 y(ob)5 b(jects,)34
33216 b(describing)d(ho)m(w)i(the)f(energy)h(is)f(shared)h(\(see)g
33217 Fq(MSTP\(92\))h Fw(and)e Fq(MSTP\(94\))p Fw(\);)i(is)472
33218 5615 y(0)f(if)e(no)i(splitting)d(is)i(needed.)1817 5953
33219 y(183)p eop
33220 %%Page: 184 190
33221 184 189 bop 0 -18 a Fq(VINT\(161\))54 b(-)d(VINT\(200\))j(:)47
33222 b Fw(sum)52 b(of)e(Cabibb)s(o{Koba)m(y)m(ashi{Mask)-5
33223 b(a)m(w)m(a)52 b(squared)g(matrix)e(ele-)472 90 y(men)m(ts)28
33224 b(that)f(a)g(giv)m(en)h(\015a)m(v)m(our)g(is)f(allo)m(w)m(ed)f(to)h
33225 (couple)g(to.)42 b(Results)27 b(are)h(stored)f(in)g(format)472
33226 198 y Fq(VINT\(180+KF\))35 b Fw(for)30 b(quark)i(and)f(lepton)f(\015a)m
33227 (v)m(ours)j(and)e(an)m(ti\015a)m(v)m(ours)g(\(whic)m(h)h(need)g(not)472
33228 307 y(b)s(e)g(the)f(same;)h(see)g Fq(MDME\(IDC,2\))p
33229 Fw(\).)46 b(F)-8 b(or)30 b(leptons,)i(these)g(factors)f(are)h(normally)
33230 c(unit)m(y)-8 b(.)0 415 y Fq(VINT\(201\))54 b(-)d(VINT\(220\))j(:)47
33231 b Fw(additional)29 b(v)-5 b(ariables)31 b(needed)j(in)d(phase-space)i
33232 (selection)f(for)f(2)d Fn(!)472 523 y Fw(3)40 b(pro)s(cesses)h(with)e
33233 Fq(ISET\(ISUB\)=5)p Fw(.)67 b(Belo)m(w)40 b(indices)f(1,)i(2)e(and)g(3)
33234 g(refer)h(to)f(scattered)472 632 y(partons)34 b(1,)f(2)f(and)h(3,)g
33235 (except)i(that)e(the)g Fj(q)k Fw(four-momen)m(tum)31
33236 b(v)-5 b(ariables)31 b(are)i Fj(q)3408 647 y Fl(1)3471
33237 632 y Fw(+)22 b Fj(q)3612 647 y Fl(2)3680 632 y Fn(!)472
33238 740 y Fj(q)519 704 y Fk(0)515 765 y Fl(1)555 740 y Fj(q)602
33239 704 y Fk(0)598 765 y Fl(2)638 740 y Fj(q)685 704 y Fk(0)681
33240 765 y Fl(3)721 740 y Fw(.)42 b(All)28 b(kinematical)f(v)-5
33241 b(ariables)28 b(refer)i(to)f(the)h(in)m(ternal)f(kinematics)f(of)h(the)
33242 h(3-b)s(o)s(dy)472 848 y(\014nal)36 b(state)h(|)f(the)g(kinematics)g
33243 (of)f(the)i(system)g(as)g(a)f(whole)g(is)g(describ)s(ed)h(b)m(y)g
33244 Fj(\034)3562 812 y Fk(0)3622 848 y Fw(and)472 957 y Fj(y)t
33245 Fw(,)32 b(and)h(the)g(mass)f(distribution)f(of)h(particle)f(3)i(\(a)f
33246 (resonance\))i(b)m(y)f Fj(\034)11 b Fw(.)236 1065 y Fq(VINT\(201\))54
33247 b(:)47 b Fj(m)932 1080 y Fl(1)972 1065 y Fw(.)236 1173
33248 y Fq(VINT\(202\))54 b(:)47 b Fj(p)896 1137 y Fl(2)896
33249 1198 y Fk(?)p Fl(1)991 1173 y Fw(.)236 1282 y Fq(VINT\(203\))54
33250 b(:)47 b Fj(')911 1297 y Fl(1)951 1282 y Fw(.)236 1390
33251 y Fq(VINT\(204\))54 b(:)47 b Fj(M)941 1405 y Fl(1)1014
33252 1390 y Fw(\(mass)32 b(of)g(propagator)g(particle\).)236
33253 1498 y Fq(VINT\(205\))54 b(:)47 b Fw(w)m(eigh)m(t)33
33254 b(for)f(the)h Fj(p)1522 1462 y Fl(2)1522 1523 y Fk(?)p
33255 Fl(1)1649 1498 y Fw(c)m(hoice.)236 1607 y Fq(VINT\(206\))54
33256 b(:)47 b Fj(m)932 1622 y Fl(2)972 1607 y Fw(.)236 1715
33257 y Fq(VINT\(207\))54 b(:)47 b Fj(p)896 1679 y Fl(2)896
33258 1740 y Fk(?)p Fl(2)991 1715 y Fw(.)236 1823 y Fq(VINT\(208\))54
33259 b(:)47 b Fj(')911 1838 y Fl(2)951 1823 y Fw(.)236 1932
33260 y Fq(VINT\(209\))54 b(:)47 b Fj(M)941 1947 y Fl(2)1014
33261 1932 y Fw(\(mass)32 b(of)g(propagator)g(particle\).)236
33262 2040 y Fq(VINT\(210\))54 b(:)47 b Fw(w)m(eigh)m(t)33
33263 b(for)f(the)h Fj(p)1522 2004 y Fl(2)1522 2065 y Fk(?)p
33264 Fl(2)1649 2040 y Fw(c)m(hoice.)236 2148 y Fq(VINT\(211\))54
33265 b(:)47 b Fj(y)895 2163 y Fl(3)934 2148 y Fw(.)236 2257
33266 y Fq(VINT\(212\))54 b(:)47 b Fj(y)895 2272 y Fl(3max)1066
33267 2257 y Fw(.)236 2365 y Fq(VINT\(213\))54 b(:)47 b Fj(\017)28
33268 b Fw(=)g Fn(\006)p Fw(1;)33 b(c)m(hoice)g(b)s(et)m(w)m(een)h(t)m(w)m(o)
33269 g(mirror)c(solutions)i(1)27 b Fn($)h Fw(2.)236 2473 y
33270 Fq(VINT\(214\))54 b(:)47 b Fw(w)m(eigh)m(t)33 b(asso)s(ciated)g(to)f
33271 Fj(\017)p Fw(-c)m(hoice.)236 2582 y Fq(VINT\(215\))54
33272 b(:)47 b Fj(t)882 2597 y Fl(1)950 2582 y Fw(=)27 b(\()p
33273 Fj(q)1134 2597 y Fl(1)1196 2582 y Fn(\000)c Fj(q)1343
33274 2546 y Fk(0)1339 2606 y Fl(1)1378 2582 y Fw(\))1416 2546
33275 y Fl(2)1456 2582 y Fw(.)236 2690 y Fq(VINT\(216\))54
33276 b(:)47 b Fj(t)882 2705 y Fl(2)950 2690 y Fw(=)27 b(\()p
33277 Fj(q)1134 2705 y Fl(2)1196 2690 y Fn(\000)c Fj(q)1343
33278 2654 y Fk(0)1339 2715 y Fl(2)1378 2690 y Fw(\))1416 2654
33279 y Fl(2)1456 2690 y Fw(.)236 2798 y Fq(VINT\(217\))54
33280 b(:)47 b Fj(q)890 2813 y Fl(1)930 2798 y Fj(q)977 2762
33281 y Fk(0)973 2823 y Fl(2)1045 2798 y Fw(four-pro)s(duct.)236
33282 2907 y Fq(VINT\(218\))54 b(:)47 b Fj(q)890 2922 y Fl(2)930
33283 2907 y Fj(q)977 2871 y Fk(0)973 2931 y Fl(1)1045 2907
33284 y Fw(four-pro)s(duct.)236 3015 y Fq(VINT\(219\))54 b(:)47
33285 b Fj(q)894 2979 y Fk(0)890 3040 y Fl(1)930 3015 y Fj(q)977
33286 2979 y Fk(0)973 3040 y Fl(2)1045 3015 y Fw(four-pro)s(duct.)236
33287 3156 y Fq(VINT\(220\))54 b(:)847 3055 y Fg(q)p 930 3055
33288 1463 4 v 101 x Fw(\()p Fj(m)1053 3122 y Fl(2)1053 3181
33289 y Fk(?)p Fl(12)1205 3156 y Fn(\000)23 b Fj(m)1390 3122
33290 y Fl(2)1390 3181 y Fk(?)p Fl(1)1507 3156 y Fn(\000)f
33291 Fj(m)1691 3122 y Fl(2)1691 3181 y Fk(?)p Fl(2)1786 3156
33292 y Fw(\))1824 3127 y Fl(2)1886 3156 y Fn(\000)g Fw(4)p
33293 Fj(m)2119 3122 y Fl(2)2119 3181 y Fk(?)p Fl(1)2214 3156
33294 y Fj(m)2299 3122 y Fl(2)2299 3181 y Fk(?)p Fl(2)2393
33295 3156 y Fw(,)57 b(where)c Fj(m)2863 3171 y Fk(?)p Fl(12)3045
33296 3156 y Fw(is)f(the)g(transv)m(erse)709 3282 y(mass)32
33297 b(of)g(the)h Fj(q)1274 3246 y Fk(0)1270 3307 y Fl(1)1310
33298 3282 y Fj(q)1357 3246 y Fk(0)1353 3307 y Fl(2)1425 3282
33299 y Fw(system.)0 3391 y Fq(VINT\(221\))54 b(-)d(VINT\(225\))j(:)47
33300 b Fj(\022)s Fw(,)58 b Fj(')53 b Fw(and)f Fb(\014)k Fw(for)c(rotation)f
33301 (and)i(b)s(o)s(ost)f(from)g(c.m.)103 b(frame)52 b(to)472
33302 3499 y(hadronic)32 b(c.m.)44 b(frame)31 b(of)h(a)h(lepton{hadron)f(ev)m
33303 (en)m(t.)0 3607 y Fq(VINT\(231\))54 b(:)47 b Fj(Q)688
33304 3571 y Fl(2)688 3632 y(min)843 3607 y Fw(scale)32 b(for)g(curren)m(t)i
33305 (parton-distribution)c(function)i(set.)0 3716 y Fq(VINT\(232\))54
33306 b(:)47 b Fw(v)-5 b(alence)41 b(quark)h(distribution)c(of)j(a)f(VMD)h
33307 (photon;)k(set)c(in)f Fq(PYSTFU)i Fw(and)f(used)h(in)472
33308 3824 y Fq(PYSTFL)p Fw(.)0 3932 y Fq(VINT\(281\))54 b(:)47
33309 b Fw(for)40 b(resolv)m(ed)h(photon)f(ev)m(en)m(ts,)k(it)39
33310 b(giv)m(es)i(the)f(ratio)f(b)s(et)m(w)m(een)j(the)e(total)f
33311 Fj(\015)5 b(X)48 b Fw(cross)472 4041 y(section)26 b(and)f(the)h(total)e
33312 Fj(\031)1419 4004 y Fl(0)1458 4041 y Fj(X)33 b Fw(cross)27
33313 b(section,)g(where)f Fj(X)33 b Fw(represen)m(ts)28 b(the)e(target)f
33314 (particle.)0 4149 y Fq(VINT\(283\),)54 b(VINT\(284\))g(:)47
33315 b Fw(virtualit)m(y)37 b(scale)j(at)e(whic)m(h)i(an)f(anomalous)e
33316 (photon)j(on)f(the)g(b)s(eam)472 4257 y(or)33 b(target)f(side)h(of)f
33317 (the)h(ev)m(en)m(t)i(is)d(b)s(eing)g(resolv)m(ed.)44
33318 b(More)34 b(precisely)-8 b(,)32 b(it)g(giv)m(es)h(the)g
33319 Fj(p)3609 4221 y Fl(2)3609 4282 y Fk(?)3701 4257 y Fw(of)472
33320 4366 y(the)g Fj(\015)g Fn(!)27 b Fw(q)p 902 4313 52 4
33321 v(q)34 b(v)m(ertex.)0 4474 y Fq(VINT\(285\))54 b(:)47
33322 b Fw(the)53 b Fq(CKIN\(3\))g Fw(v)-5 b(alue)52 b(pro)m(vided)g(b)m(y)h
33323 (the)g(user)g(at)e(initialization;)57 b(subsequen)m(tly)472
33324 4582 y Fq(CKIN\(3\))35 b Fw(ma)m(y)d(b)s(e)h(o)m(v)m(erwritten)h(\(for)
33325 d Fq(MSTP\(14\)=10)p Fw(\))36 b(but)d Fq(VINT\(285\))i
33326 Fw(sta)m(ys.)0 4691 y Fq(VINT\(289\))54 b(:)47 b Fw(squared)34
33327 b(c.m.)43 b(energy)34 b(found)f(in)e Fq(PYINIT)k Fw(call.)0
33328 4799 y Fq(VINT\(290\))54 b(:)47 b Fw(the)33 b Fq(WIN)g
33329 Fw(argumen)m(t)g(of)f(a)g Fq(PYINIT)i Fw(call.)0 4907
33330 y Fq(VINT\(291\))54 b(-)d(VINT\(300\))j(:)47 b Fw(the)35
33331 b(t)m(w)m(o)f(\014v)m(e-v)m(ectors)j(of)c(the)h(t)m(w)m(o)h(incoming)d
33332 (particles,)h(as)h(recon-)472 5016 y(structed)g(in)e
33333 Fq(PYINKI)p Fw(.)i(These)h(ma)m(y)d(v)-5 b(ary)33 b(from)e(one)i(ev)m
33334 (en)m(t)h(to)f(the)g(next.)p 0 5160 3286 9 v 0 5385 9
33335 225 v 79 5300 a Fq(COMMON/PYINT2/ISET\(200\),)q(KFPR)q(\(200)q(,2\),)q
33336 (COE)q(F\(20)q(0,20)q(\),IC)q(OL\()q(40,4)q(,2\))p 3277
33337 5385 V 0 5393 3286 9 v 0 5525 a Fo(Purp)s(ose:)48 b Fw(to)33
33338 b(store)h(information)d(necessary)36 b(for)d(e\016cien)m(t)h
33339 (generation)f(of)g(the)h(di\013eren)m(t)g(subpro-)472
33340 5633 y(cesses,)i(sp)s(eci\014cally)c(t)m(yp)s(e)h(of)g(generation)f(sc)
33341 m(heme)i(and)f(co)s(e\016cien)m(ts)h(of)e(the)h(Jacobian.)1817
33342 5953 y(184)p eop
33343 %%Page: 185 191
33344 185 190 bop 472 -18 a Fw(Also)34 b(to)f(store)i(allo)m(w)m(ed)e
33345 (colour-\015o)m(w)g(con\014gurations.)48 b(These)36 b(v)-5
33346 b(ariables)32 b(m)m(ust)i(not)g(b)s(e)472 90 y(c)m(hanged)g(b)m(y)g(y)m
33347 (ou.)0 198 y Fq(ISET\(ISUB\))54 b(:)47 b Fw(giv)m(es)26
33348 b(the)g(t)m(yp)s(e)g(of)f(kinematical-v)-5 b(ariable)21
33349 b(selection)k(sc)m(heme)h(used)h(for)d(subpro)s(cess)472
33350 307 y(ISUB.)236 415 y Fq(=)52 b(0)f(:)217 b Fw(elastic,)31
33351 b(di\013ractiv)m(e)h(and)h(lo)m(w-)p Fj(p)1908 430 y
33352 Fk(?)1999 415 y Fw(pro)s(cesses.)236 523 y Fq(=)52 b(1)f(:)217
33353 b Fw(2)27 b Fn(!)g Fw(1)33 b(pro)s(cesses)h(\(irresp)s(ectiv)m(e)f(of)f
33354 (subsequen)m(t)k(deca)m(ys\).)236 632 y Fq(=)52 b(2)f(:)217
33355 b Fw(2)27 b Fn(!)g Fw(2)33 b(pro)s(cesses)h(\(i.e.)43
33356 b(the)33 b(bulk)g(of)f(pro)s(cesses\).)236 740 y Fq(=)52
33357 b(3)f(:)217 b Fw(2)27 b Fn(!)g Fw(3)33 b(pro)s(cesses)h(\(lik)m(e)e(qq)
33358 1734 704 y Fk(0)1786 740 y Fn(!)27 b Fw(q)1964 704 y
33359 Fk(00)2007 740 y Fw(q)2058 704 y Fk(000)2120 740 y Fw(H)2193
33360 704 y Fl(0)2233 740 y Fw(\).)236 848 y Fq(=)52 b(4)f(:)217
33361 b Fw(2)27 b Fn(!)g Fw(4)33 b(pro)s(cesses)h(\(lik)m(e)e(qq)1734
33362 812 y Fk(0)1786 848 y Fn(!)27 b Fw(q)1964 812 y Fk(00)2007
33363 848 y Fw(q)2058 812 y Fk(000)2120 848 y Fw(W)2221 812
33364 y Fl(+)2281 848 y Fw(W)2382 812 y Fk(\000)2442 848 y
33365 Fw(\).)236 957 y Fq(=)52 b(5)f(:)217 b Fw(`true')33 b(2)27
33366 b Fn(!)h Fw(3)k(pro)s(cesses,)j(one)d(metho)s(d.)236
33367 1065 y Fq(=)52 b(6)f(:)217 b Fw(`true')33 b(2)27 b Fn(!)h
33368 Fw(3)k(pro)s(cesses,)j(another)d(metho)s(d;)g(curren)m(tly)i(only)e(gg)
33369 c Fn(!)g Fw(Z)3388 1029 y Fl(0)3427 1065 y Fw(Q)p 3503
33370 987 76 4 v(Q)o(.)236 1173 y Fq(=)52 b(9)f(:)217 b Fw(2)27
33371 b Fn(!)g Fw(2)33 b(in)f(m)m(ultiple)e(in)m(teractions)i(\()p
33372 Fj(p)2106 1188 y Fk(?)2197 1173 y Fw(as)h(kinematics)e(v)-5
33373 b(ariable\).)236 1282 y Fq(=)52 b(11)g(:)165 b Fw(a)32
33374 b(user-de\014ned)i(pro)s(cess.)236 1390 y Fq(=)52 b(-1)g(:)165
33375 b Fw(legitimate)29 b(pro)s(cess)34 b(whic)m(h)f(has)g(not)f(y)m(et)i(b)
33376 s(een)f(implemen)m(ted.)236 1498 y Fq(=)52 b(-2)g(:)165
33377 b Fw(ISUB)33 b(is)f(an)g(unde\014ned)j(pro)s(cess)f(co)s(de.)0
33378 1607 y Fq(KFPR\(ISUB,J\))54 b(:)48 b Fw(giv)m(e)22 b(the)g(KF)f(\015a)m
33379 (v)m(our)i(co)s(des)g(for)e(the)h(pro)s(ducts)h(pro)s(duced)g(in)e
33380 (subpro)s(cess)j(ISUB.)472 1715 y(If)36 b(there)h(is)f(only)f(one)h
33381 (pro)s(duct,)h(the)g Fq(J=2)g Fw(p)s(osition)d(is)h(left)g(blank.)54
33382 b(Also,)36 b(quarks)h(and)472 1823 y(leptons)c(assumed)g(massless)f(in)
33383 g(the)h(matrix)d(elemen)m(ts)j(are)f(denoted)i(b)m(y)f(0.)43
33384 b(The)33 b(main)472 1932 y(application)d(is)j(th)m(us)g(to)f(iden)m
33385 (tify)g(resonances)j(pro)s(duced)e(\(Z)2770 1896 y Fl(0)2809
33386 1932 y Fw(,)g(W)2970 1896 y Fk(\006)3029 1932 y Fw(,)g(H)3162
33387 1896 y Fl(0)3202 1932 y Fw(,)f(etc.\).)0 2040 y Fq(COEF\(ISUB,J\))54
33388 b(:)48 b Fw(factors)30 b(used)h(in)e(the)h(Jacobians)g(in)f(order)h(to)
33389 f(sp)s(eed)j(up)e(the)g(selection)f(of)h(kine-)472 2148
33390 y(matical)39 b(v)-5 b(ariables.)68 b(More)41 b(precisely)-8
33391 b(,)44 b(the)d(shap)s(e)h(of)f(the)g(cross)h(section)f(is)g(giv)m(en)g
33392 (as)472 2257 y(the)31 b(sum)e(of)h(terms)g(with)f(di\013eren)m(t)h(b)s
33393 (eha)m(viour,)g(where)i(the)e(in)m(tegral)e(o)m(v)m(er)j(the)f(allo)m
33394 (w)m(ed)472 2365 y(phase)39 b(space)g(is)e(unit)m(y)h(for)f(eac)m(h)i
33395 (term.)58 b Fq(COEF)39 b Fw(giv)m(es)f(the)g(relativ)m(e)f(strength)i
33396 (of)e(these)472 2473 y(terms,)27 b(normalized)c(so)i(that)g(the)g(sum)g
33397 (of)g(co)s(e\016cien)m(ts)h(for)f(eac)m(h)g(v)-5 b(ariable)24
33398 b(used)i(is)e(unit)m(y)-8 b(.)472 2582 y(Note)33 b(that)g(whic)m(h)g
33399 (co)s(e\016cien)m(ts)g(are)g(indeed)g(used)h(is)e(pro)s(cess-dep)s
33400 (enden)m(t.)236 2690 y Fq(ISUB)53 b(:)165 b Fw(standard)33
33401 b(subpro)s(cess)h(co)s(de.)236 2798 y Fq(J)52 b(=)f(1)h(:)114
33402 b Fj(\034)44 b Fw(selected)33 b(according)f(1)p Fj(=\034)11
33403 b Fw(.)236 2907 y Fq(J)52 b(=)f(2)h(:)114 b Fj(\034)44
33404 b Fw(selected)33 b(according)f(to)h(1)p Fj(=\034)1868
33405 2871 y Fl(2)1907 2907 y Fw(.)236 3015 y Fq(J)52 b(=)f(3)h(:)114
33406 b Fj(\034)52 b Fw(selected)42 b(according)f(to)g(1)p
33407 Fj(=)p Fw(\()p Fj(\034)11 b Fw(\()p Fj(\034)39 b Fw(+)28
33408 b Fj(\034)2205 3030 y Fh(R)2263 3015 y Fw(\)\),)43 b(where)g
33409 Fj(\034)2742 3030 y Fh(R)2842 3015 y Fw(=)f Fj(m)3045
33410 2979 y Fl(2)3045 3040 y Fh(R)3103 3015 y Fj(=s)f Fw(is)g
33411 Fj(\034)52 b Fw(v)-5 b(alue)41 b(of)709 3123 y(resonance;)34
33412 b(only)e(used)i(for)e(resonance)h(pro)s(duction.)236
33413 3232 y Fq(J)52 b(=)f(4)h(:)114 b Fj(\034)45 b Fw(selected)34
33414 b(according)g(to)f(Breit{Wigner)f(of)h(form)g(1)p Fj(=)p
33415 Fw(\(\()p Fj(\034)h Fn(\000)23 b Fj(\034)3066 3247 y
33416 Fh(R)3124 3232 y Fw(\))3162 3196 y Fl(2)3224 3232 y Fw(+)g
33417 Fj(\015)3379 3196 y Fl(2)3374 3256 y Fh(R)3431 3232 y
33418 Fw(\),)34 b(where)709 3340 y Fj(\034)751 3355 y Fh(R)839
33419 3340 y Fw(=)d Fj(m)1031 3304 y Fl(2)1031 3365 y Fh(R)1089
33420 3340 y Fj(=s)j Fw(is)f Fj(\034)46 b Fw(v)-5 b(alue)34
33421 b(of)g(resonance)h(and)g Fj(\015)2461 3355 y Fh(R)2548
33422 3340 y Fw(=)c Fj(m)2740 3355 y Fh(R)2798 3340 y Fw(\000)2859
33423 3355 y Fh(R)2917 3340 y Fj(=s)j Fw(is)f(its)h(scaled)h(mass)709
33424 3448 y(times)c(width;)i(only)f(used)i(for)e(resonance)i(pro)s(duction.)
33425 236 3557 y Fq(J)52 b(=)f(5)h(:)114 b Fj(\034)56 b Fw(selected)46
33426 b(according)e(to)h(1)p Fj(=)p Fw(\()p Fj(\034)11 b Fw(\()p
33427 Fj(\034)42 b Fw(+)30 b Fj(\034)2225 3572 y Fh(R)2278
33428 3553 y Fd(0)2306 3557 y Fw(\)\),)48 b(where)e Fj(\034)2793
33429 3572 y Fh(R)2846 3553 y Fd(0)2922 3557 y Fw(=)i Fj(m)3131
33430 3521 y Fl(2)3131 3581 y Fh(R)3184 3563 y Fd(0)3212 3557
33431 y Fj(=s)c Fw(is)h Fj(\034)56 b Fw(v)-5 b(alue)709 3665
33432 y(of)33 b(second)i(resonance;)g(only)e(used)i(for)e(sim)m(ultaneous)g
33433 (pro)s(duction)g(of)g(t)m(w)m(o)h(reso-)709 3774 y(nances.)236
33434 3882 y Fq(J)52 b(=)f(6)h(:)114 b Fj(\034)40 b Fw(selected)29
33435 b(according)f(to)g(second)i(Breit{Wigner)d(of)h(form)f(1)p
33436 Fj(=)p Fw(\(\()p Fj(\034)e Fn(\000)14 b Fj(\034)3322
33437 3897 y Fh(R)3375 3878 y Fd(0)3403 3882 y Fw(\))3441 3846
33438 y Fl(2)3494 3882 y Fw(+)g Fj(\015)3640 3846 y Fl(2)3635
33439 3906 y Fh(R)3688 3888 y Fd(0)3714 3882 y Fw(\),)709 3990
33440 y(where)32 b Fj(\034)1031 4005 y Fh(R)1084 3986 y Fd(0)1139
33441 3990 y Fw(=)c Fj(m)1328 3954 y Fl(2)1328 4015 y Fh(R)1381
33442 3996 y Fd(0)1408 3990 y Fj(=s)j Fw(is)f Fj(\034)43 b
33443 Fw(v)-5 b(alue)30 b(of)h(second)h(resonance)h(and)e Fj(\015)3071
33444 4005 y Fh(R)3124 3986 y Fd(0)3178 3990 y Fw(=)d Fj(m)3367
33445 4005 y Fh(R)3420 3986 y Fd(0)3447 3990 y Fw(\000)3508
33446 4005 y Fh(R)3561 3986 y Fd(0)3588 3990 y Fj(=s)j Fw(is)709
33447 4099 y(its)h(scaled)h(mass)f(times)g(width;)h(is)f(used)i(only)e(for)g
33448 (sim)m(ultaneous)g(pro)s(duction)g(of)709 4207 y(t)m(w)m(o)h
33449 (resonances,)h(lik)m(e)e Fj(\015)1638 4171 y Fk(\003)1678
33450 4207 y Fj(=)p Fw(Z)1787 4171 y Fl(0)1826 4207 y Fj(=)p
33451 Fw(Z)1935 4171 y Fk(0)p Fl(0)1993 4207 y Fw(.)236 4315
33452 y Fq(J)52 b(=)f(7)h(:)114 b Fj(\034)44 b Fw(selected)34
33453 b(according)f(to)g(1)p Fj(=)p Fw(\(1)21 b Fn(\000)i Fj(\034)11
33454 b Fw(\);)34 b(only)f(used)h(when)g(b)s(oth)f(parton)g(distribu-)709
33455 4424 y(tions)f(are)g(p)s(eak)m(ed)i(at)e Fj(x)c Fw(=)g(1.)236
33456 4532 y Fq(J)52 b(=)f(8)h(:)114 b Fj(y)35 b Fw(selected)f(according)e
33457 (to)g Fj(y)25 b Fn(\000)e Fj(y)1935 4547 y Fl(min)2056
33458 4532 y Fw(.)236 4640 y Fq(J)52 b(=)f(9)h(:)114 b Fj(y)35
33459 b Fw(selected)f(according)e(to)g Fj(y)1762 4655 y Fl(max)1919
33460 4640 y Fn(\000)23 b Fj(y)t Fw(.)236 4749 y Fq(J)52 b(=)f(10)h(:)63
33461 b Fj(y)35 b Fw(selected)f(according)e(to)g(1)p Fj(=)17
33462 b Fw(cosh\()p Fj(y)t Fw(\).)236 4857 y Fq(J)52 b(=)f(11)h(:)63
33463 b Fj(y)26 b Fw(selected)f(according)d(to)h(1)p Fj(=)p
33464 Fw(\(1)s Fn(\000)s Fw(exp)r(\()p Fj(y)7 b Fn(\000)s Fj(y)2316
33465 4872 y Fl(max)2451 4857 y Fw(\)\);)26 b(only)d(used)i(when)f(b)s(eam)f
33466 (parton)709 4965 y(distribution)30 b(is)i(p)s(eak)m(ed)i(close)f(to)f
33467 Fj(x)c Fw(=)g(1.)236 5074 y Fq(J)52 b(=)f(12)h(:)63 b
33468 Fj(y)49 b Fw(selected)d(according)g(to)f(1)p Fj(=)p Fw(\(1)30
33469 b Fn(\000)i Fw(exp)q(\()p Fj(y)2326 5089 y Fl(min)2479
33470 5074 y Fn(\000)f Fj(y)t Fw(\)\);)52 b(only)45 b(used)i(when)g(target)
33471 709 5182 y(parton)32 b(distribution)f(is)h(p)s(eak)m(ed)i(close)e(to)g
33472 Fj(x)d Fw(=)e(1.)236 5305 y Fq(J)52 b(=)f(13)h(:)63 b
33473 Fj(z)32 b Fw(=)c(cos)1045 5279 y(^)1037 5305 y Fj(\022)36
33474 b Fw(selected)d(ev)m(enly)h(b)s(et)m(w)m(een)h(limits.)236
33475 5428 y Fq(J)52 b(=)f(14)h(:)63 b Fj(z)36 b Fw(=)31 b(cos)1052
33476 5402 y(^)1044 5428 y Fj(\022)37 b Fw(selected)f(according)e(to)g(1)p
33477 Fj(=)p Fw(\()p Fj(a)24 b Fn(\000)g Fj(z)t Fw(\),)35 b(where)h
33478 Fj(a)c Fw(=)e(1)24 b(+)f(2)p Fj(m)3294 5392 y Fl(2)3294
33479 5453 y(3)3334 5428 y Fj(m)3419 5392 y Fl(2)3419 5453
33480 y(4)3458 5428 y Fj(=)t Fw(^)-53 b Fj(s)3553 5392 y Fl(2)3593
33481 5428 y Fw(,)35 b Fj(m)3740 5443 y Fl(3)709 5537 y Fw(and)d
33482 Fj(m)983 5552 y Fl(4)1056 5537 y Fw(b)s(eing)f(the)i(masses)h(of)e(the)
33483 h(t)m(w)m(o)g(\014nal-state)f(particles.)236 5660 y Fq(J)52
33484 b(=)f(15)h(:)63 b Fj(z)32 b Fw(=)c(cos)1045 5633 y(^)1037
33485 5660 y Fj(\022)36 b Fw(selected)d(according)f(to)g(1)p
33486 Fj(=)p Fw(\()p Fj(a)22 b Fw(+)g Fj(z)t Fw(\),)34 b(with)e
33487 Fj(a)g Fw(as)h(ab)s(o)m(v)m(e.)1817 5953 y(185)p eop
33488 %%Page: 186 192
33489 186 191 bop 236 -18 a Fq(J)52 b(=)f(16)h(:)63 b Fj(z)32
33490 b Fw(=)c(cos)1045 -45 y(^)1037 -18 y Fj(\022)36 b Fw(selected)d
33491 (according)f(to)g(1)p Fj(=)p Fw(\()p Fj(a)22 b Fn(\000)h
33492 Fj(z)t Fw(\))2435 -55 y Fl(2)2475 -18 y Fw(,)33 b(with)f
33493 Fj(a)h Fw(as)f(ab)s(o)m(v)m(e.)236 110 y Fq(J)52 b(=)f(17)h(:)63
33494 b Fj(z)32 b Fw(=)c(cos)1045 84 y(^)1037 110 y Fj(\022)36
33495 b Fw(selected)d(according)f(to)g(1)p Fj(=)p Fw(\()p Fj(a)22
33496 b Fw(+)g Fj(z)t Fw(\))2433 74 y Fl(2)2473 110 y Fw(,)33
33497 b(with)f Fj(a)h Fw(as)g(ab)s(o)m(v)m(e.)236 219 y Fq(J)52
33498 b(=)f(18)h(:)63 b Fj(\034)762 182 y Fk(0)818 219 y Fw(selected)34
33499 b(according)e(to)g(1)p Fj(=\034)1891 182 y Fk(0)1914
33500 219 y Fw(.)236 327 y Fq(J)52 b(=)f(19)h(:)63 b Fj(\034)762
33501 291 y Fk(0)818 327 y Fw(selected)34 b(according)e(to)g(\(1)22
33502 b Fn(\000)g Fj(\034)11 b(=\034)2103 291 y Fk(0)2127 327
33503 y Fw(\))2165 291 y Fl(3)2205 327 y Fj(=\034)2307 291
33504 y Fk(0)p Fl(2)2366 327 y Fw(.)236 435 y Fq(J)52 b(=)f(20)h(:)63
33505 b Fj(\034)762 399 y Fk(0)815 435 y Fw(selected)31 b(according)e(to)g(1)
33506 p Fj(=)p Fw(\(1)16 b Fn(\000)g Fj(\034)2075 399 y Fk(0)2099
33507 435 y Fw(\);)30 b(only)g(used)g(when)h(b)s(oth)e(parton)h(distribu-)709
33508 544 y(tions)i(are)g(p)s(eak)m(ed)i(close)f(to)f Fj(x)c
33509 Fw(=)g(1.)0 652 y Fq(ICOL)52 b(:)165 b Fw(con)m(tains)43
33510 b(information)c(on)j(di\013eren)m(t)h(colour-\015o)m(w)f(top)s(ologies)
33511 e(in)h(hard)i(2)h Fn(!)g Fw(2)e(pro-)472 760 y(cesses.)p
33512 0 885 2825 9 v 0 1110 9 225 v 79 1025 a Fq(COMMON/PYINT3/XSFX\(2,-40)q
33513 (:40\))q(,ISI)q(G\(10)q(00,)q(3\),S)q(IGH\()q(1000)q(\))p
33514 2816 1110 V 0 1118 2825 9 v 0 1250 a Fo(Purp)s(ose:)48
33515 b Fw(to)d(store)h(information)c(on)j(parton)g(distributions,)j(subpro)s
33516 (cess)f(cross)f(sections)g(and)472 1358 y(di\013eren)m(t)35
33517 b(\014nal-state)e(relativ)m(e)h(w)m(eigh)m(ts.)49 b(These)36
33518 b(v)-5 b(ariables)33 b(m)m(ust)i(not)f(b)s(e)g(c)m(hanged)i(b)m(y)472
33519 1467 y(y)m(ou.)0 1575 y Fq(XSFX)52 b(:)165 b Fw(curren)m(t)30
33520 b(v)-5 b(alues)28 b(of)g(parton-distribution)d(functions)k
33521 Fj(xf)11 b Fw(\()p Fj(x)p Fw(\))28 b(on)h(b)s(eam)e(and)h(target)g
33522 (side.)0 1683 y Fq(ISIG\(ICHN,1\))54 b(:)48 b Fw(incoming)33
33523 b(parton/particle)h(on)i(the)g(b)s(eam)f(side)g(to)h(the)g(hard)f(in)m
33524 (teraction)g(for)472 1792 y(allo)m(w)m(ed)45 b(c)m(hannel)h(n)m(um)m(b)
33525 s(er)g Fq(ICHN)p Fw(.)g(The)h(n)m(um)m(b)s(er)f(of)f(c)m(hannels)h
33526 (\014lled)e(with)i(relev)-5 b(an)m(t)472 1900 y(information)29
33527 b(is)i(giv)m(en)h(b)m(y)i Fq(NCHN)p Fw(,)e(one)g(of)f(the)h(argumen)m
33528 (ts)g(returned)h(in)e(a)g Fq(PYSIGH)i Fw(call.)472 2008
33529 y(Th)m(us)i(only)d(1)27 b Fn(\024)p Fq(ICHN)p Fn(\024)p
33530 Fq(NCHN)36 b Fw(is)c(\014lled)f(with)h(relev)-5 b(an)m(t)33
33531 b(information.)0 2117 y Fq(ISIG\(ICHN,2\))54 b(:)48 b
33532 Fw(incoming)31 b(parton/particle)g(on)i(the)h(target)f(side)g(to)g(the)
33533 h(hard)f(in)m(teraction)f(for)472 2225 y(allo)m(w)m(ed)g(c)m(hannel)h
33534 (n)m(um)m(b)s(er)g Fq(ICHN)p Fw(.)h(See)f(also)f(commen)m(t)g(ab)s(o)m
33535 (v)m(e.)0 2333 y Fq(ISIG\(ICHN,3\))54 b(:)48 b Fw(colour-\015o)m(w)25
33536 b(t)m(yp)s(e)i(for)e(allo)m(w)m(ed)g(c)m(hannel)i(n)m(um)m(b)s(er)f
33537 Fq(ICHN)p Fw(;)h(see)g Fq(MSTI\(2\))h Fw(list.)40 b(See)472
33538 2442 y(also)30 b(ab)s(o)m(v)m(e)i(commen)m(t.)43 b(F)-8
33539 b(or)30 b(`subpro)s(cess')j(96)d(uniquely)-8 b(,)32 b
33540 Fq(ISIG\(ICHN,3\))i Fw(is)c(also)g(used)472 2550 y(to)g(translate)e
33541 (information)f(on)i(what)h(is)f(the)g(correct)h(subpro)s(cess)i(n)m(um)
33542 m(b)s(er)e(\(11,)f(12,)h(13,)472 2658 y(28,)j(53)f(or)g(68\);)g(this)g
33543 (is)g(used)i(for)e(reassigning)g(subpro)s(cess)i(96)e(to)h(either)f(of)
33544 g(these.)0 2767 y Fq(SIGH\(ICHN\))54 b(:)47 b Fw(ev)-5
33545 b(aluated)36 b(di\013eren)m(tial)f(cross)i(section)f(for)g(allo)m(w)m
33546 (ed)f(c)m(hannel)i(n)m(um)m(b)s(er)g Fq(ICHN)p Fw(,)g(i.e.)472
33547 2875 y(matrix-elemen)m(t)27 b(v)-5 b(alue)27 b(times)h(parton)g
33548 (distributions,)g(for)f(curren)m(t)j(kinematical)25 b(setup)472
33549 2983 y(\(in)33 b(addition,)e(Jacobian)i(factors)g(are)g(included)g(in)f
33550 (the)i(\014gures,)g(as)g(used)g(to)f(sp)s(eed)h(up)472
33551 3092 y(generation\).)43 b(See)34 b(also)d(commen)m(t)h(for)g
33552 Fq(ISIG\(ICHN,1\))p Fw(.)p 0 3242 3286 9 v 0 3466 9 225
33553 v 79 3382 a Fq(COMMON/PYINT4/WIDP\(21:40)q(,0:4)q(0\),W)q(IDE\()q(21:)q
33554 (40,0)q(:40\))q(,WID)q(S\(2)q(1:40)q(,3\))p 3277 3466
33555 V 0 3474 3286 9 v 0 3606 a Fo(Purp)s(ose:)48 b Fw(to)32
33556 b(store)h(partial)e(and)i(e\013ectiv)m(e)g(deca)m(y)i(widths)e(for)f
33557 (the)h(di\013eren)m(t)g(resonances.)46 b(These)472 3715
33558 y(v)-5 b(ariables)32 b(m)m(ust)g(not)h(b)s(e)g(c)m(hanged)g(b)m(y)h(y)m
33559 (ou.)0 3823 y Fq(WIDP\(KF,J\))54 b(:)47 b Fw(giv)m(es)33
33560 b(partial)d(deca)m(y)k(widths)f(of)e(resonances)k(in)m(to)c(di\013eren)
33561 m(t)i(c)m(hannels)g(\(in)e(GeV\),)472 3931 y(giv)m(en)i(that)g(all)d
33562 (ph)m(ysically)i(allo)m(w)m(ed)g(\014nal)g(states)h(are)g(included.)236
33563 4040 y Fq(KF)52 b(:)268 b Fw(standard)36 b(KF)f(co)s(de)g(for)g
33564 (resonance)i(considered.)53 b(When)37 b(top)e(is)g(treated)h(lik)m(e)f
33565 (a)709 4148 y(resonance)41 b(\(see)f Fq(MSTP\(48\))p
33566 Fw(\))i(it)d(is)g(stored)h(in)f(p)s(osition)f(26.)64
33567 b(When)41 b(the)f(fourth)709 4256 y(generation)49 b(fermions)h(l,)k(h,)
33568 h Fj(\037)1921 4220 y Fk(\000)2030 4256 y Fw(and)c Fj(\027)2286
33569 4271 y Fh(\037)2384 4256 y Fw(are)g(treated)f(lik)m(e)g(resonances)i
33570 (\(see)709 4365 y Fq(MSTP\(49\))p Fw(\))34 b(they)g(are)e(stored)i(in)d
33571 (p)s(ositions)h(27,)g(28,)g(29)g(and)h(30,)f(resp)s(ectiv)m(ely)-8
33572 b(.)236 4473 y Fq(J)52 b(:)319 b Fw(en)m(umerates)44
33573 b(the)f(di\013eren)m(t)g(deca)m(y)i(c)m(hannels)f(p)s(ossible)e(for)g
33574 (resonance)j(KF,)d(as)709 4581 y(stored)f(in)f(the)h
33575 Fm(Jetset)e Fq(LUDAT3)j Fw(common)d(blo)s(c)m(k,)k(with)d(the)h
33576 (\014rst)g(c)m(hannel)g(in)709 4690 y Fq(J=1)p Fw(,)33
33577 b(etc.)0 4798 y Fq(WIDE\(KF,J\))54 b(:)47 b Fw(giv)m(es)27
33578 b(e\013ectiv)m(e)g(deca)m(y)h(widths)e(of)g(resonances)i(in)m(to)d
33579 (di\013eren)m(t)h(c)m(hannels)h(\(in)e(GeV\),)472 4906
33580 y(giv)m(en)k(the)g(deca)m(y)h(mo)s(des)f(actually)e(left)g(op)s(en)i
33581 (in)f(the)h(curren)m(t)h(run.)42 b(The)30 b(on/o\013)e(status)472
33582 5015 y(of)33 b(deca)m(y)h(mo)s(des)e(is)g(set)h(b)m(y)h(the)f
33583 Fq(MDME)g Fw(switc)m(hes)h(in)e Fm(Jetset)p Fw(;)g(see)i(section)e
33584 (14.6.)236 5123 y Fq(KF)52 b(:)268 b Fw(standard)28 b(KF)f(co)s(de)h
33585 (for)f(resonance)h(considered.)43 b(F)-8 b(or)27 b(commen)m(t)g(ab)s
33586 (out)g(top)g(and)709 5231 y(fourth)32 b(generation)g(see)i
33587 Fq(WIDP)f Fw(ab)s(o)m(v)m(e.)236 5340 y Fq(J)52 b(:)319
33588 b Fw(en)m(umerates)44 b(the)f(di\013eren)m(t)g(deca)m(y)i(c)m(hannels)f
33589 (p)s(ossible)e(for)g(resonance)j(KF,)d(as)709 5448 y(stored)f(in)f(the)
33590 h Fm(Jetset)e Fq(LUDAT3)j Fw(common)d(blo)s(c)m(k,)k(with)d(the)h
33591 (\014rst)g(c)m(hannel)g(in)709 5556 y Fq(J=1)p Fw(,)33
33592 b(etc.)0 5665 y Fq(WIDS\(KF,J\))54 b(:)47 b Fw(giv)m(es)i(a)f
33593 (dimensionless)f(suppression)i(factor,)j(whic)m(h)c(is)g(de\014ned)h
33594 (as)g(the)f(ratio)1817 5953 y(186)p eop
33595 %%Page: 187 193
33596 187 192 bop 472 -18 a Fw(of)40 b(the)g(total)e(width)i(of)g(c)m
33597 (hannels)g(switc)m(hed)h(on)f(to)g(the)g(total)e(width)i(of)f(all)f(p)s
33598 (ossible)472 90 y(c)m(hannels)28 b(\(replace)f(width)g(b)m(y)h(squared)
33599 g(width)f(for)g(a)f(pair)g(of)h(resonances\).)43 b(The)28
33600 b(on/o\013)472 198 y(status)h(of)f(c)m(hannels)g(is)g(set)h(b)m(y)f
33601 (the)h Fq(MDME)g Fw(switc)m(hes)g(in)f Fm(Jetset)p Fw(;)g(see)h
33602 (section)f(14.6.)42 b(The)472 307 y(information)30 b(in)i
33603 Fq(WIDS)h Fw(is)f(used)i(e.g.)44 b(in)32 b(cross-section)h
33604 (calculations.)236 415 y Fq(KF)52 b(:)268 b Fw(standard)28
33605 b(KF)f(co)s(de)h(for)f(resonance)h(considered.)43 b(F)-8
33606 b(or)27 b(commen)m(t)g(ab)s(out)g(top)g(and)709 523 y(fourth)32
33607 b(generation)g(see)i Fq(WIDP)f Fw(ab)s(o)m(v)m(e.)236
33608 632 y Fq(J)52 b(=)f(1)h(:)114 b Fw(suppression)52 b(when)h(a)e(pair)g
33609 (of)g(resonances)i(of)e(t)m(yp)s(e)i(KF)d(are)i(pro)s(duced)g(to-)709
33610 740 y(gether.)e(When)35 b(an)g(an)m(tiparticle)d(exists,)k(the)f
33611 (particle{an)m(tiparticle)d(pair)h(\(suc)m(h)709 848
33612 y(as)46 b(W)943 812 y Fl(+)1002 848 y Fw(W)1103 812 y
33613 Fk(\000)1163 848 y Fw(\))g(is)f(the)h(relev)-5 b(an)m(t)46
33614 b(com)m(bination,)h(else)f(the)g(particle{particle)d(one)709
33615 957 y(\(suc)m(h)34 b(as)e(Z)1146 920 y Fl(0)1185 957
33616 y Fw(Z)1245 920 y Fl(0)1284 957 y Fw(\).)236 1065 y Fq(J)52
33617 b(=)f(2)h(:)114 b Fw(suppression)49 b(for)f(a)h(particle)e(of)h(t)m(yp)
33618 s(e)h(KF)f(when)i(pro)s(duced)f(on)g(its)f(o)m(wn,)53
33619 b(or)709 1173 y(together)32 b(with)h(a)f(particle)f(of)h(another)h(t)m
33620 (yp)s(e.)236 1282 y Fq(J)52 b(=)f(3)h(:)114 b Fw(suppression)31
33621 b(for)f(an)h(an)m(tiparticle)d(of)i(t)m(yp)s(e)i(KF)e(when)h(pro)s
33622 (duced)h(on)e(its)g(o)m(wn,)i(or)709 1390 y(together)g(with)h(a)f
33623 (particle)f(of)h(another)h(t)m(yp)s(e.)p 0 1534 2261
33624 9 v 0 1759 9 225 v 79 1674 a Fq(COMMON/PYINT5/NGEN\(0:200)q(,3\),)q
33625 (XSEC)q(\(0:2)q(00,)q(3\))p 2252 1759 V 0 1767 2261 9
33626 v 0 1899 a Fo(Purp)s(ose:)48 b Fw(to)g(store)h(information)d(necessary)
33627 51 b(for)d(cross-section)h(calculation)e(and)h(di\013eren)m(tial)472
33628 2007 y(cross-section)e(maxim)m(um)c(violation.)76 b(These)46
33629 b(v)-5 b(ariables)43 b(m)m(ust)i(not)f(b)s(e)h(c)m(hanged)h(b)m(y)472
33630 2116 y(y)m(ou.)0 2224 y Fq(NGEN\(ISUB,1\))54 b(:)48 b
33631 Fw(giv)m(es)35 b(the)f(n)m(um)m(b)s(er)h(of)f(times)f(that)h(the)h
33632 (di\013eren)m(tial)d(cross)j(section)g(\(times)e(Ja-)472
33633 2332 y(cobian)i(factors\))g(has)g(b)s(een)h(ev)-5 b(aluated)34
33634 b(for)h(subpro)s(cess)i(ISUB,)e(with)g Fq(NGEN\(0,1\))i
33635 Fw(the)472 2441 y(sum)c(of)f(these.)0 2549 y Fq(NGEN\(ISUB,2\))54
33636 b(:)48 b Fw(giv)m(es)27 b(the)h(n)m(um)m(b)s(er)f(of)f(times)g(that)h
33637 (a)f(kinematical)f(setup)j(for)e(subpro)s(cess)j(ISUB)472
33638 2657 y(is)k(accepted)h(in)d(the)i(generation)f(pro)s(cedure,)i(with)e
33639 Fq(NGEN\(0,2\))j Fw(the)e(sum)g(of)f(these.)0 2766 y
33640 Fq(NGEN\(ISUB,3\))54 b(:)48 b Fw(giv)m(es)64 b(the)g(n)m(um)m(b)s(er)g
33641 (of)f(times)g(an)g(ev)m(en)m(t)j(of)d(subpro)s(cess)i(t)m(yp)s(e)g
33642 (ISUB)f(is)472 2874 y(generated,)j(with)59 b Fq(NGEN\(0,3\))j
33643 Fw(the)e(sum)f(of)g(these.)125 b(Usually)60 b Fq(NGEN\(ISUB,3\))54
33644 b(=)472 2982 y(NGEN\(ISUB,2\))p Fw(,)e(i.e.)79 b(an)45
33645 b(accepted)h(kinematical)d(con\014guration)h(can)h(normally)d(b)s(e)472
33646 3091 y(used)34 b(to)e(pro)s(duce)i(an)e(ev)m(en)m(t.)0
33647 3199 y Fq(XSEC\(ISUB,1\))54 b(:)48 b Fw(estimated)36
33648 b(maxim)m(um)e(di\013eren)m(tial)h(cross)j(section)e(\(times)g(the)h
33649 (Jacobian)f(fac-)472 3307 y(tors)c(used)g(to)f(sp)s(eed)i(up)f(the)g
33650 (generation)e(pro)s(cess\))j(for)e(the)g(di\013eren)m(t)h(subpro)s
33651 (cesses)i(in)472 3416 y(use,)g(with)e Fq(XSEC\(0,1\))j
33652 Fw(the)e(sum)g(of)f(these)i(\(except)g(lo)m(w-)p Fj(p)2690
33653 3431 y Fk(?)2748 3416 y Fw(,)e(i.e.)43 b(ISUB)34 b(=)e(95\).)0
33654 3524 y Fq(XSEC\(ISUB,2\))54 b(:)48 b Fw(giv)m(es)35 b(the)g(sum)f(of)h
33655 (di\013eren)m(tial)d(cross)k(sections)f(\(times)f(Jacobian)f(factors\))
33656 i(for)472 3632 y(the)e Fq(NGEN\(ISUB,1\))j Fw(phase-space)e(p)s(oin)m
33657 (ts)f(ev)-5 b(aluated)32 b(so)h(far.)0 3741 y Fq(XSEC\(ISUB,3\))54
33658 b(:)48 b Fw(giv)m(es)29 b(the)h(estimated)e(in)m(tegrated)h(cross)h
33659 (section)f(for)g(subpro)s(cess)i(ISUB,)f(based)472 3849
33660 y(on)g(the)f(statistics)g(accum)m(ulated)g(so)h(far,)f(with)g
33661 Fq(XSEC\(0,3\))i Fw(the)f(estimated)f(total)f(cross)472
33662 3958 y(section)23 b(for)g(all)d(subpro)s(cesses)26 b(included)c(\(all)f
33663 (in)h(m)m(b\).)40 b(This)23 b(is)f(exactly)h(the)h(information)472
33664 4066 y(obtainable)31 b(b)m(y)j(a)e Fq(PYSTAT\(1\))j Fw(call.)p
33665 0 4210 1440 9 v 0 4569 9 359 v 79 4357 a Fq(COMMON/PYINT6/PROC\(0:200)q
33666 (\))79 4465 y(CHARACTER)54 b(PROC*28)p 1432 4569 V 0
33667 4577 1440 9 v 0 4709 a Fo(Purp)s(ose:)48 b Fw(to)41 b(store)g(c)m
33668 (haracter)i(strings)e(for)f(the)i(di\013eren)m(t)g(p)s(ossible)e
33669 (subpro)s(cesses;)49 b(used)42 b(when)472 4817 y(prin)m(ting)32
33670 b(tables.)0 4925 y Fq(PROC\(ISUB\))54 b(:)47 b Fw(name)c(for)f(the)h
33671 (di\013eren)m(t)g(subpro)s(cesses,)49 b(according)42
33672 b(to)h(ISUB)g(co)s(de.)75 b Fq(PROC\(0\))472 5034 y Fw(denotes)34
33673 b(all)d(pro)s(cesses.)p 0 5178 1748 9 v 0 5403 9 225
33674 v 79 5318 a Fq(COMMON/PYINT7/SIGT\(0:6,0)q(:6,0)q(:5\))p
33675 1739 5403 V 0 5411 1748 9 v 0 5543 a Fo(Purp)s(ose:)48
33676 b Fw(to)f(store)g(information)d(on)k(total,)h(elastic)d(and)i
33677 (di\013ractiv)m(e)e(cross)j(sections.)88 b(These)472
33678 5651 y(v)-5 b(ariables)24 b(should)g(only)h(b)s(e)g(set)g(b)m(y)h(y)m
33679 (ou)f(for)f(the)h(option)f Fq(MSTP\(31\)=0)p Fw(;)30
33680 b(else)25 b(they)h(should)1817 5953 y(187)p eop
33681 %%Page: 188 194
33682 188 193 bop 472 -18 a Fw(not)33 b(b)s(e)g(touc)m(hed.)44
33683 b(All)31 b(n)m(um)m(b)s(ers)j(are)e(giv)m(en)h(in)f(m)m(b.)0
33684 90 y Fq(SIGT\(I1,I2,J\))55 b(:)47 b Fw(the)23 b(cross)h(section,)g(b)s
33685 (oth)e(total)f(and)i(sub)s(divided)g(b)m(y)g(class)g(\(elastic,)g
33686 (di\013ractiv)m(e)472 198 y(etc.\).)56 b(F)-8 b(or)35
33687 b(a)h(photon)h(to)f(b)s(e)g(considered)h(as)g(a)f(VMD)g(meson)h(the)f
33688 (cross)i(sections)e(are)472 307 y(additionally)30 b(split)h(in)m(to)h
33689 (the)h(con)m(tributions)f(from)f(the)i(v)-5 b(arious)32
33690 b(meson)h(states.)236 415 y Fq(I1,)52 b(I2)g(:)63 b Fw(allo)m(w)m(ed)21
33691 b(states)j(for)e(the)h(incoming)d(particle)h(on)i(side)f(1)g(and)h(2,)h
33692 (resp)s(ectiv)m(ely)-8 b(.)472 523 y Fq(=)52 b(0)g(:)216
33693 b Fw(sum)33 b(of)g(all)f(allo)m(w)m(ed)g(states.)47 b(Except)36
33694 b(for)c(a)i(photon)f(to)g(b)s(e)h(considered)g(as)945
33695 632 y(a)e(VMD)h(meson)f(this)h(is)f(the)h(only)f(non)m(v)-5
33696 b(anishing)32 b(en)m(try)-8 b(.)472 740 y Fq(=)52 b(1)g(:)216
33697 b Fw(the)33 b(con)m(tribution)e(from)h(the)h Fj(\032)2117
33698 704 y Fl(0)2189 740 y Fw(VMD)g(state.)472 848 y Fq(=)52
33699 b(2)g(:)216 b Fw(the)33 b(con)m(tribution)e(from)h(the)h
33700 Fj(!)j Fw(VMD)c(state.)472 957 y Fq(=)52 b(3)g(:)216
33701 b Fw(the)33 b(con)m(tribution)e(from)h(the)h Fj(\036)f
33702 Fw(VMD)g(state.)472 1065 y Fq(=)52 b(4)g(:)216 b Fw(the)33
33703 b(con)m(tribution)e(from)h(the)h(J)p Fj(= )j Fw(VMD)d(state.)472
33704 1173 y Fq(=)52 b(5,)g(6)f(:)63 b Fw(reserv)m(ed)35 b(for)d(future)h
33705 (use.)236 1282 y Fq(J)52 b(:)319 b Fw(the)33 b(total)e(and)h(partial)f
33706 (cross)i(sections.)472 1390 y Fq(=)52 b(0)g(:)216 b Fw(the)33
33707 b(total)e(cross)i(section.)472 1498 y Fq(=)52 b(1)g(:)216
33708 b Fw(the)33 b(elastic)e(cross)j(section.)472 1607 y Fq(=)52
33709 b(2)g(:)216 b Fw(the)33 b(single)e(di\013ractiv)m(e)h(cross)i(section)f
33710 Fj(AB)g Fn(!)27 b Fj(X)8 b(B)d Fw(.)472 1715 y Fq(=)52
33711 b(3)g(:)216 b Fw(the)33 b(single)e(di\013ractiv)m(e)h(cross)i(section)f
33712 Fj(AB)g Fn(!)27 b Fj(AX)8 b Fw(.)472 1823 y Fq(=)52 b(4)g(:)216
33713 b Fw(the)33 b(double)f(di\013ractiv)m(e)g(cross)i(section.)472
33714 1932 y Fq(=)52 b(5)g(:)216 b Fw(the)33 b(inelastic,)e(non-di\013ractiv)
33715 m(e)h(cross)h(section.)236 2040 y Fo(W)-9 b(arning:)47
33716 b Fw(If)35 b(y)m(ou)g(set)h(these)g(v)-5 b(alues)35 b(y)m(ourself,)h
33717 (it)d(is)i(imp)s(ortan)m(t)e(that)h(they)i(are)f(in)m(ternally)709
33718 2148 y(consisten)m(t,)e(since)f(this)g(is)g(not)g(explicitly)e(c)m(hec)
33719 m(k)m(ed)35 b(b)m(y)e(the)f(program.)42 b(Th)m(us)34
33720 b(the)709 2257 y(con)m(tributions)24 b Fq(J=)p Fw(1{5)g(should)h(add)f
33721 (up)h(to)g(the)g Fq(J=)p Fw(0)g(one)g(and,)h(for)e(VMD)h(photons,)709
33722 2365 y(the)33 b(con)m(tributions)f Fq(I=)p Fw(1{4)g(should)g(add)h(up)g
33723 (to)f(the)h Fq(I=)p Fw(0)g(one.)p 0 2509 3389 9 v 0 2868
33724 9 359 v 130 2656 a Fq(COMMON/PYINT8/XPVMD\(-6:)q(6\),X)q(PANL)q(\(-6:)q
33725 (6\),)q(XPAN)q(H\(-6)q(:6\),)q(XPB)q(EH\(-)q(6:6\))q(,)79
33726 2764 y(&XPDIR\(-6:6\))p 3380 2868 V 0 2876 3389 9 v 0
33727 3008 a Fo(Purp)s(ose:)48 b Fw(to)34 b(store)g(the)h(v)-5
33728 b(arious)33 b(comp)s(onen)m(ts)i(of)f(the)h(photon)f(parton)g
33729 (distributions)f(when)i(the)472 3116 y Fq(PYGGAM)g Fw(routine)d(is)g
33730 (called.)0 3224 y Fq(XPVMD\(KFL\))54 b(:)47 b Fw(giv)m(es)33
33731 b(distributions)f(of)g(the)h(VMD)f(part)h(\()p Fj(\032)2320
33732 3188 y Fl(0)2359 3224 y Fw(,)g Fj(!)j Fw(and)c Fj(\036)p
33733 Fw(\).)0 3333 y Fq(XPANL\(KFL\))54 b(:)47 b Fw(giv)m(es)33
33734 b(distributions)f(of)g(the)h(anomalous)e(part)h(of)g(ligh)m(t)f(quarks)
33735 j(\(d,)f(u)f(and)h(s\).)0 3441 y Fq(XPANH\(KFL\))54 b(:)47
33736 b Fw(giv)m(es)33 b(distributions)f(of)g(the)h(anomalous)e(part)h(of)g
33737 (hea)m(vy)i(quarks)g(\(c)f(and)f(b\).)0 3549 y Fq(XPBEH\(KFL\))54
33738 b(:)47 b Fw(giv)m(es)29 b(Bethe-Heitler)e(distributions)g(of)h(hea)m
33739 (vy)h(quarks)h(\(c)e(and)g(b\).)42 b(This)29 b(pro)m(vides)472
33740 3658 y(an)k(alternativ)m(e)f(to)g Fq(XPANH)p Fw(,)i(i.e.)43
33741 b(b)s(oth)32 b(should)h(not)f(b)s(e)h(used)h(at)e(the)h(same)f(time.)0
33742 3766 y Fq(XPDIR\(KFL\))54 b(:)47 b Fw(giv)m(es)29 b(direct)f
33743 (correction)g(to)g(the)h(pro)s(duction)e(of)h(ligh)m(t)e(quarks)k(\(d,)
33744 f(u)g(and)f(s\).)42 b(This)472 3884 y(term)36 b(is)g(non)m(v)-5
33745 b(anishing)35 b(only)g(in)h(the)p 1906 3806 144 4 v 36
33746 w(MS)h(sc)m(heme,)h(and)e(is)g(applicable)e(for)h Fj(F)3439
33747 3837 y Fh(\015)3425 3906 y Fl(2)3519 3884 y Fw(rather)472
33748 3992 y(than)e(for)f(the)h(parton)f(distributions)g(themselv)m(es.)p
33749 0 4137 1492 9 v 0 4495 9 359 v 79 4283 a Fq(COMMON/PYINT8/DXSEC\(0:20)q
33750 (0\))79 4392 y(DOUBLE)53 b(PRECISION)h(DXSEC)p 1483 4495
33751 V 0 4503 1492 9 v 0 4635 a Fo(Purp)s(ose:)48 b Fw(T)-8
33752 b(o)37 b(store)g(double-precision)e(information)f(necessary)39
33753 b(for)d(cross)i(section)f(calculation.)472 4743 y(In)e
33754 Fm(Pythia)g Fw(the)g(cross)g(section)g(of)f(a)g(pro)s(cess)i(is)e
33755 (calculated)f(from)h(the)h(sum)f(of)g(cross-)472 4852
33756 y(section)46 b(w)m(eigh)m(ts)g(for)e(all)f(phase-space)k(p)s(oin)m(ts)e
33757 (selected)h(during)f(the)g(course)h(of)f(the)472 4960
33758 y(run.)e(This)28 b(sum)g(is)g(stored)h(in)f(single)f(precision,)h(whic)
33759 m(h)h(is)f(normally)e(reasonable,)j(since)472 5068 y
33760 Fm(Pythia)g Fw(is)f(not)g(really)f(in)m(tended)j(to)e(giv)m(e)g
33761 (high-precision)f(cross)i(section)g(information.)472
33762 5177 y(In)36 b(v)m(ery)g(long)d(runs,)k(ho)m(w)m(ev)m(er,)g(this)e(giv)
33763 m(es)g(problems)f(when)i(a)f(single)e(small)g(w)m(eigh)m(t)i(is)472
33764 5285 y(to)i(b)s(e)h(added)g(to)f(a)g(large)f(sum)h(of)g(preciding)f(w)m
33765 (eigh)m(ts.)58 b(Bey)m(ond)39 b(a)e(certain)g(p)s(oin)m(t)f(\(of)472
33766 5393 y(the)k(order)g(of)f(100,000)f(ev)m(en)m(ts)j(of)e(one)h(and)f
33767 (the)h(same)g(pro)s(cess\))g(one)g(ma)m(y)f(therefore)472
33768 5502 y(start)32 b(to)g(obtain)f(to)s(o)g(lo)m(w)g(cross)i(sections,)g
33769 (a)e(problem)g(that)h(then)g(gradually)e(w)m(orsens.)0
33770 5610 y Fq(DXSEC\(ISUB\))54 b(:)48 b Fw(double-precision)56
33771 b(v)m(ersion)i(of)g(the)g(information)c(found)k(in)f
33772 Fq(XSEC\(ISUB,2\))p Fw(,)1817 5953 y(188)p eop
33773 %%Page: 189 195
33774 189 194 bop 472 -18 a Fw(i.e.)93 b(the)50 b(sum)f(of)g(di\013eren)m
33775 (tial)e(cross)j(sections)g(\(times)e(Jacobian)g(factors\))h(for)g(the)
33776 472 90 y Fq(NGEN\(ISUB,1\))36 b Fw(phase-space)e(p)s(oin)m(ts)f(ev)-5
33777 b(aluated)32 b(so)h(far.)146 252 y(Finally)-8 b(,)35
33778 b(in)h(addition)f(a)i(n)m(um)m(b)s(er)g(of)f(routines)h(and)f(common)g
33779 (blo)s(c)m(ks)h(with)f(names)h(b)s(eginning)0 361 y(with)k
33780 Fq(RK)i Fw(come)e(with)h(the)g(program.)70 b(These)43
33781 b(con)m(tain)f(the)g(matrix-elemen)m(t)e(ev)-5 b(aluation)40
33782 b(for)h(the)0 469 y(pro)s(cess)34 b(gg)28 b Fn(!)g Fw(Zq)p
33783 705 416 52 4 v(q,)33 b(based)g(on)g(a)f(program)f(of)h(Ronald)g
33784 (Kleiss,)g(with)g(only)g(minor)f(mo)s(di\014cations.)0
33785 743 y Fp(9.8)135 b(Examples)0 916 y Fw(The)32 b(program)e(is)g(built)g
33786 (as)h(a)g(sla)m(v)m(e)g(system,)i(i.e.)42 b(y)m(ou)32
33787 b(supply)f(the)h(main)d(program,)h(whic)m(h)i(calls)e(on)0
33788 1024 y(the)j Fm(Pythia)g Fw(and)f Fm(Jetset)g Fw(routines)g(to)h(p)s
33789 (erform)e(sp)s(eci\014c)i(tasks)h(and)f(then)g(resumes)h(con)m(trol.)
33790 146 1132 y(A)42 b(t)m(ypical)e(program)g(for)g(the)i(analysis)f(of)f
33791 (collider)f(ev)m(en)m(ts)44 b(at)d(630)f(GeV)h(c.m.)70
33792 b(energy)42 b(with)0 1241 y(a)i(minim)m(um)d Fj(p)590
33793 1256 y Fk(?)694 1241 y Fw(of)j(10)g(GeV/c)g(at)g(the)h(hard)g
33794 (scattering)f(\(b)s(ecause)i(of)e(initial-state)d(radiation,)0
33795 1349 y(fragmen)m(tation)27 b(e\013ects,)k(etc.,)g(the)e(actual)f
33796 Fj(p)1656 1364 y Fk(?)1744 1349 y Fw(cut-o\013)h(will)d(b)s(e)k
33797 (smeared)f(around)g(this)g(v)-5 b(alue\))28 b(migh)m(t)0
33798 1457 y(lo)s(ok)j(lik)m(e)308 1649 y Fq(COMMON/LUJETS/N,K\(4000,5\),)q
33799 (P\(40)q(00,5)q(\),V\()q(400)q(0,5\))308 1757 y
33800 (COMMON/PYSUBS/MSEL,MSUB\(20)q(0\),K)q(FIN\()q(2,-4)q(0:4)q(0\),C)q
33801 (KIN\()q(200\))308 1865 y(COMMON/PYPARS/MSTP\(200\),PA)q(RP\(2)q(00\),)
33802 q(MSTI)q(\(20)q(0\),P)q(ARI\()q(200\))308 1974 y(...)974
33803 b(!)52 b(set)g(all)g(common)h(block)g(variables)g(that)308
33804 2082 y(...)974 b(!)52 b(did)g(not)g(have)g(desired)i(default)f(values)
33805 308 2190 y(CKIN\(3\)=10.)566 b(!)52 b(lower)h(p_T)f(cut-off)308
33806 2299 y(CALL)g(PYINIT\('CMS','p','pbar',6)q(30.\))468
33807 b(!)52 b(initialize)308 2407 y(...)974 b(!)52 b(initialize)i(analysis)f
33808 (statistics)308 2515 y(DO)e(100)h(IEVENT=1,1000)824 b(!)52
33809 b(loop)g(over)g(events)308 2624 y(CALL)g(PYEVNT)1283
33810 b(!)52 b(generate)h(event)308 2732 y(IF\(IEVENT.EQ.1\))i(CALL)d
33811 (LULIST\(1\))310 b(!)52 b(list)g(first)h(event)308 2840
33812 y(...)974 b(!)52 b(insert)h(desired)g(analysis)g(chain)g(for)308
33813 2949 y(...)974 b(!)52 b(each)g(event)103 3057 y(100)g(CONTINUE)308
33814 3166 y(CALL)g(PYSTAT\(1\))412 b(!)52 b(print)h(cross)f(sections)308
33815 3274 y(...)974 b(!)52 b(user)g(output)308 3382 y(END)1817
33816 5953 y Fw(189)p eop
33817 %%Page: 190 196
33818 190 195 bop 0 -18 a Ft(10)161 b(Initial-)56 b(and)d(Final-State)j
33819 (Radiation)0 189 y Fw(Starting)38 b(from)g(the)h(hard)h(in)m
33820 (teraction,)g(initial-)34 b(and)40 b(\014nal-state)e(radiation)f
33821 (corrections)i(ma)m(y)g(b)s(e)0 297 y(added.)j(This)25
33822 b(is)g(normally)e(done)i(b)m(y)h(making)e(use)i(of)f(the)h(parton-sho)m
33823 (w)m(er)g(language)e(|)h(only)f(for)h(the)0 405 y(e)43
33824 369 y Fl(+)102 405 y Fw(e)145 369 y Fk(\000)232 405 y
33825 Fn(!)j Fw(q)p 411 352 52 4 v(q)j(pro)s(cess)i(do)s(es)e
33826 Fm(Jetset)f Fw(o\013er)g(a)h(matrix-elemen)m(t)e(option)g(\(describ)s
33827 (ed)j(in)e(section)h(6.1\).)0 514 y(The)k(algorithms)d(used)j(to)f
33828 (generate)h(initial-)30 b(and)35 b(\014nal-state)e(sho)m(w)m(ers)k(are)
33829 d(rather)g(di\013eren)m(t,)h(and)0 622 y(are)d(therefore)h(describ)s
33830 (ed)f(separately)h(b)s(elo)m(w,)f(starting)f(with)g(the)i(conceptually)
33831 e(easier)h(\014nal-state)0 730 y(one.)44 b(Before)33
33832 b(that,)f(some)g(common)g(elemen)m(ts)h(are)f(in)m(tro)s(duced.)146
33833 839 y(The)40 b(main)e(reference)j(for)d(\014nal-state)h(sho)m(w)m(ers)i
33834 (is)e(ref.)63 b([Ben87a])39 b(and)h(for)e(initial-state)e(ones)0
33835 947 y(ref.)44 b([Sj\177)-49 b(o85)o(].)0 1221 y Fp(10.1)136
33836 b(Sho)l(w)l(er)45 b(Ev)l(olution)0 1394 y Fw(In)39 b(the)g(leading)e
33837 (log)g(picture,)k(a)d(sho)m(w)m(er)i(ma)m(y)f(b)s(e)g(view)m(ed)g(as)g
33838 (a)g(sequence)i(of)d(1)g Fn(!)g Fw(2)g(branc)m(hings)0
33839 1502 y Fj(a)28 b Fn(!)f Fj(bc)p Fw(.)43 b(Here)31 b Fj(a)f
33840 Fw(is)f(called)g(the)h(mother)f(and)h Fj(b)g Fw(and)g
33841 Fj(c)g Fw(the)g(t)m(w)m(o)h(daugh)m(ters.)44 b(Eac)m(h)30
33842 b(daugh)m(ter)h(is)e(free)0 1610 y(to)d(branc)m(h)i(in)e(its)g(turn,)i
33843 (so)f(that)g(a)f(tree-lik)m(e)g(stucture)i(can)f(ev)m(olv)m(e.)43
33844 b(W)-8 b(e)27 b(will)d(use)k(the)f(w)m(ork)h(`parton')0
33845 1719 y(for)36 b(all)e(the)j(ob)5 b(jects)38 b Fj(a)p
33846 Fw(,)f Fj(b)g Fw(and)f Fj(c)h Fw(in)m(v)m(olv)m(ed)g(in)e(the)i(branc)m
33847 (hing)f(pro)s(cess,)j(i.e.)54 b(not)36 b(only)g(for)g(quarks)0
33848 1827 y(and)k(gluons)f(but)h(also)f(for)g(leptons)h(and)g(photons.)65
33849 b(The)41 b(branc)m(hings)f(included)g(in)f(the)h(program)0
33850 1935 y(are)35 b(q)d Fn(!)f Fw(qg)q(,)37 b(g)32 b Fn(!)g
33851 Fw(gg)q(,)j(g)e Fn(!)e Fw(q)p 1182 1882 V(q)q(,)36 b(q)c
33852 Fn(!)f Fw(q)p Fj(\015)41 b Fw(and)35 b Fj(`)c Fn(!)h
33853 Fj(`\015)5 b Fw(.)50 b(Photon)35 b(branc)m(hings,)h(i.e.)50
33854 b Fj(\015)37 b Fn(!)32 b Fw(q)p 3536 1882 V(q)j(and)0
33855 2044 y Fj(\015)e Fn(!)27 b Fj(`)p 252 1964 41 4 v(`)p
33856 Fw(,)k(ha)m(v)m(e)g(not)g(b)s(een)g(included)f(so)g(far,)g(since)h
33857 (they)g(are)g(reasonably)f(rare)g(and)h(since)g(no)f(urgen)m(t)0
33858 2152 y(need)k(for)e(them)g(has)h(b)s(een)g(p)s(erceiv)m(ed.)0
33859 2400 y Fo(10.1.1)113 b(The)37 b(ev)m(olution)f(equations)0
33860 2572 y Fw(In)45 b(the)h(sho)m(w)m(er)h(form)m(ulation,)e(the)h
33861 (kinematics)e(of)h(eac)m(h)h(branc)m(hing)f(is)f(giv)m(en)i(in)e(terms)
33862 h(of)g(t)m(w)m(o)0 2681 y(v)-5 b(ariables,)42 b Fj(Q)519
33863 2645 y Fl(2)600 2681 y Fw(and)f Fj(z)t Fw(.)69 b(Sligh)m(tly)40
33864 b(di\013eren)m(t)h(in)m(terpretations)f(ma)m(y)h(b)s(e)g(giv)m(en)h(to)
33865 e(these)j(v)-5 b(ariables,)0 2789 y(and)39 b(indeed)g(this)f(is)h(one)g
33866 (main)e(area)h(where)i(the)g(v)-5 b(arious)38 b(programs)g(on)g(the)h
33867 (mark)m(et)g(di\013er.)62 b Fj(Q)3740 2753 y Fl(2)0 2897
33868 y Fw(has)28 b(dimensions)f(of)g(squared)i(mass,)g(and)f(is)f(related)h
33869 (to)f(the)h(mass)g(or)f(transv)m(erse)j(momen)m(tum)c(scale)0
33870 3006 y(of)38 b(the)i(branc)m(hing.)62 b Fj(z)43 b Fw(giv)m(es)d(the)f
33871 (sharing)f(of)g(the)i Fj(a)e Fw(energy)i(and)f(momen)m(tum)f(b)s(et)m
33872 (w)m(een)j(the)e(t)m(w)m(o)0 3114 y(daugh)m(ters,)32
33873 b(with)e(parton)g Fj(b)h Fw(taking)e(a)h(fraction)f Fj(z)35
33874 b Fw(and)c(parton)f Fj(c)g Fw(a)g(fraction)f(1)17 b Fn(\000)i
33875 Fj(z)t Fw(.)43 b(T)-8 b(o)30 b(sp)s(ecify)h(the)0 3222
33876 y(kinematics,)37 b(an)g(azim)m(uthal)e(angle)i Fj(')g
33877 Fw(of)f(the)i Fj(b)f Fw(around)h(the)f Fj(a)g Fw(direction)f(is)h
33878 (needed)i(in)d(addition;)0 3331 y(normally)i Fj(')i Fw(is)f(c)m(hosen)j
33879 (to)d(b)s(e)i(isotropically)c(distributed,)k(although)e(options)h(for)f
33880 (non-isotropic)0 3439 y(distributions)31 b(exist.)146
33881 3547 y(The)g(probabilit)m(y)c(for)i(a)g(parton)g(to)g(branc)m(h)h(is)f
33882 (giv)m(en)g(b)m(y)i(the)e(ev)m(olution)g(equations)g(\(also)g(called)0
33883 3656 y(DGLAP)j(or)g(Altarelli{P)m(arisi)c([Gri72)n(,)33
33884 b(Alt77)o(]\).)43 b(It)33 b(is)f(con)m(v)m(enien)m(t)i(to)e(in)m(tro)s
33885 (duce)943 3935 y Fj(t)c Fw(=)g(ln)o(\()p Fj(Q)1306 3894
33886 y Fl(2)1346 3935 y Fj(=)p Fw(\003)1463 3894 y Fl(2)1501
33887 3935 y Fw(\))126 b Fn(\))e Fw(d)p Fj(t)29 b Fw(=)e(d)17
33888 b(ln)o(\()p Fj(Q)2377 3894 y Fl(2)2417 3935 y Fw(\))27
33889 b(=)2596 3868 y(d)p Fj(Q)2727 3831 y Fl(2)p 2596 3912
33890 171 4 v 2623 4003 a Fj(Q)2700 3975 y Fl(2)2809 3935 y
33891 Fj(;)721 b Fw(\(126\))0 4200 y(where)39 b(\003)f(is)g(the)g(QCD)g(\003)
33892 g(scale)g(in)f Fj(\013)1455 4215 y Fl(s)1488 4200 y Fw(.)60
33893 b(Of)37 b(course,)k(this)d(c)m(hoice)g(is)g(more)f(directed)i(to)m(w)m
33894 (ards)g(the)0 4308 y(QCD)34 b(parts)g(of)g(the)h(sho)m(w)m(er,)h(but)f
33895 (it)e(can)i(b)s(e)f(used)h(just)g(as)f(w)m(ell)g(for)f(the)i(QED)f
33896 (ones.)49 b(In)35 b(terms)f(of)0 4416 y(the)f(t)m(w)m(o)g(v)-5
33897 b(ariables)32 b Fj(t)g Fw(and)h Fj(z)t Fw(,)g(the)g(di\013eren)m(tial)e
33898 (probabilit)m(y)g(d)p Fn(P)41 b Fw(for)32 b(parton)g
33899 Fj(a)h Fw(to)f(branc)m(h)i(is)e(no)m(w)1249 4654 y(d)p
33900 Fn(P)1372 4669 y Fh(a)1442 4654 y Fw(=)1545 4571 y Fg(X)1565
33901 4756 y Fh(b;c)1692 4587 y Fj(\013)1754 4602 y Fh(abc)p
33902 1692 4631 165 4 v 1720 4722 a Fw(2)p Fj(\031)1883 4654
33903 y(P)1946 4669 y Fh(a)p Fk(!)p Fh(bc)2119 4654 y Fw(\()p
33904 Fj(z)t Fw(\))17 b(d)p Fj(t)g Fw(d)p Fj(z)37 b(:)1027
33905 b Fw(\(127\))0 4954 y(Here)41 b(the)g(sum)f(is)g(supp)s(osed)i(to)d
33906 (run)i(o)m(v)m(er)g(all)e(allo)m(w)m(ed)g(branc)m(hings,)k(for)d(a)g
33907 (quark)h(q)g Fn(!)g Fw(qg)g(and)0 5062 y(q)29 b Fn(!)f
33908 Fw(q)p Fj(\015)5 b Fw(,)34 b(and)f(so)g(on.)45 b(The)34
33909 b Fj(\013)1124 5077 y Fh(abc)1259 5062 y Fw(factor)e(is)h
33910 Fj(\013)1699 5077 y Fl(em)1826 5062 y Fw(for)g(QED)f(branc)m(hings)i
33911 (and)f Fj(\013)2969 5077 y Fl(s)3034 5062 y Fw(for)f(QCD)h(ones)h(\(to)
33912 0 5171 y(b)s(e)f(ev)-5 b(aluated)32 b(at)g(some)h(suitable)e(scale,)i
33913 (see)h(b)s(elo)m(w\).)146 5279 y(The)g(splitting)c(k)m(ernels)k
33914 Fj(P)1121 5294 y Fh(a)p Fk(!)p Fh(bc)1294 5279 y Fw(\()p
33915 Fj(z)t Fw(\))f(are)1143 5558 y Fj(P)1206 5573 y Fl(q)p
33916 Fk(!)p Fl(qg)1391 5558 y Fw(\()p Fj(z)t Fw(\))84 b(=)f
33917 Fj(C)1829 5573 y Fh(F)1914 5491 y Fw(1)22 b(+)g Fj(z)2132
33918 5455 y Fl(2)p 1914 5535 259 4 v 1933 5626 a Fw(1)g Fn(\000)g
33919 Fj(z)2214 5558 y(;)1817 5953 y Fw(190)p eop
33920 %%Page: 191 197
33921 191 196 bop 1146 28 a Fj(P)1209 43 y Fl(g)q Fk(!)p Fl(gg)1391
33922 28 y Fw(\()p Fj(z)t Fw(\))84 b(=)f Fj(N)1837 43 y Fh(C)1923
33923 -39 y Fw(\(1)21 b Fn(\000)i Fj(z)t Fw(\(1)g Fn(\000)f
33924 Fj(z)t Fw(\)\))2514 -75 y Fl(2)p 1923 5 632 4 v 2066
33925 97 a Fj(z)t Fw(\(1)g Fn(\000)h Fj(z)t Fw(\))2597 28 y
33926 Fj(;)1143 239 y(P)1206 254 y Fl(g)q Fk(!)p Fl(q)p 1350
33927 215 38 4 v(q)1391 239 y Fw(\()p Fj(z)t Fw(\))84 b(=)f
33928 Fj(T)1816 254 y Fh(R)1890 239 y Fw(\()p Fj(z)1977 198
33929 y Fl(2)2040 239 y Fw(+)22 b(\(1)f Fn(\000)i Fj(z)t Fw(\))2433
33930 198 y Fl(2)2473 239 y Fw(\))33 b Fj(;)1139 446 y(P)1202
33931 461 y Fl(q)p Fk(!)p Fl(q)p Fh(\015)1391 446 y Fw(\()p
33932 Fj(z)t Fw(\))84 b(=)f Fj(e)1804 405 y Fl(2)1804 471 y(q)1872
33933 379 y Fw(1)22 b(+)g Fj(z)2090 343 y Fl(2)p 1872 423 259
33934 4 v 1891 514 a Fw(1)g Fn(\000)g Fj(z)2173 446 y(;)1156
33935 702 y(P)1219 717 y Fh(`)p Fk(!)p Fh(`\015)1391 702 y
33936 Fw(\()p Fj(z)t Fw(\))84 b(=)f Fj(e)1804 661 y Fl(2)1804
33937 727 y Fh(`)1870 635 y Fw(1)22 b(+)g Fj(z)2088 599 y Fl(2)p
33938 1870 679 V 1889 771 a Fw(1)g Fn(\000)g Fj(z)2171 702
33939 y(;)1359 b Fw(\(128\))0 962 y(with)43 b Fj(C)303 977
33940 y Fh(F)407 962 y Fw(=)i(4)p Fj(=)p Fw(3,)g Fj(N)825 977
33941 y Fh(C)930 962 y Fw(=)h(3,)f Fj(T)1230 977 y Fh(R)1334
33942 962 y Fw(=)g Fj(n)1513 977 y Fh(f)1559 962 y Fj(=)p Fw(2)e(\(i.e.)74
33943 b Fj(T)1994 977 y Fh(R)2095 962 y Fw(receiv)m(es)45 b(a)e(con)m
33944 (tribution)f(of)h(1)p Fj(=)p Fw(2)f(for)h(eac)m(h)0 1070
33945 y(allo)m(w)m(ed)29 b(q)p 395 1017 52 4 v(q)i(\015a)m(v)m(our\),)h(and)e
33946 Fj(e)1095 1034 y Fl(2)1095 1095 y(q)1166 1070 y Fw(and)g
33947 Fj(e)1398 1034 y Fl(2)1398 1095 y Fh(`)1468 1070 y Fw(the)g(squared)i
33948 (electric)d(c)m(harge)i(\(4)p Fj(=)p Fw(9)e(for)h(u-t)m(yp)s(e)g
33949 (quarks,)i(1)p Fj(=)p Fw(9)0 1190 y(for)g(d-t)m(yp)s(e)h(ones,)h(and)e
33950 (1)h(for)f(leptons\).)146 1299 y(P)m(ersons)43 b(familiar)37
33951 b(with)k(analytical)d(calculations)h(ma)m(y)i(w)m(onder)i(wh)m(y)f(the)
33952 f(`+)g(prescriptions')0 1407 y(and)34 b Fj(\016)t Fw(\(1)22
33953 b Fn(\000)i Fj(z)t Fw(\))34 b(terms)g(of)f(the)h(splitting)e(k)m
33954 (ernels)i(in)f(eq.)i(\(128\))e(are)g(missing.)46 b(These)35
33955 b(complications)0 1515 y(ful\014l)24 b(the)j(task)f(of)g(ensuring)g
33956 (\015a)m(v)m(our)h(and)f(energy)h(conserv)-5 b(ation)26
33957 b(in)f(the)h(analytical)e(equations.)42 b(The)0 1624
33958 y(corresp)s(onding)27 b(problem)e(is)i(solv)m(ed)g(trivially)d(in)i
33959 (Mon)m(te)h(Carlo)f(programs,)h(where)h(the)g(sho)m(w)m(er)g(ev)m(o-)0
33960 1732 y(lution)21 b(is)i(traced)h(in)e(detail,)i(and)f(\015a)m(v)m(our)h
33961 (and)f(four-momen)m(tum)e(are)i(conserv)m(ed)j(at)c(eac)m(h)i(branc)m
33962 (hing.)0 1841 y(The)29 b(legacy)f(left)f(is)g(the)i(need)g(to)e(in)m
33963 (tro)s(duce)h(a)g(cut-o\013)f(on)h(the)h(allo)m(w)m(ed)e(range)h(of)f
33964 Fj(z)33 b Fw(in)27 b(splittings,)g(so)0 1949 y(as)i(to)g(a)m(v)m(oid)f
33965 (the)i(singular)d(regions)h(corresp)s(onding)h(to)g(excessiv)m(e)i(pro)
33966 s(duction)d(of)h(v)m(ery)h(soft)f(gluons.)146 2057 y(Also)j(note)g
33967 (that)h Fj(P)857 2072 y Fl(g)q Fk(!)p Fl(gg)1039 2057
33968 y Fw(\()p Fj(z)t Fw(\))g(is)f(giv)m(en)g(here)h(with)f(a)g(factor)g
33969 Fj(N)2420 2072 y Fh(C)2511 2057 y Fw(in)g(fron)m(t,)g(while)f(it)h(is)f
33970 (sometimes)0 2166 y(sho)m(wn)i(with)e(2)p Fj(N)643 2181
33971 y Fh(C)702 2166 y Fw(.)43 b(The)33 b(confusion)e(arises)h(b)s(ecause)h
33972 (the)f(\014nal)f(state)h(con)m(tains)g(t)m(w)m(o)g(iden)m(tical)e(par-)
33973 0 2274 y(tons.)43 b(With)31 b(the)h(normalization)c(ab)s(o)m(v)m(e,)k
33974 Fj(P)1649 2289 y Fh(a)p Fk(!)p Fh(bc)1822 2274 y Fw(\()p
33975 Fj(z)t Fw(\))g(is)f(in)m(terpreted)i(as)e(the)h(branc)m(hing)f
33976 (probabilit)m(y)0 2382 y(for)k(the)g(original)d(parton)i
33977 Fj(a)p Fw(.)52 b(On)35 b(the)g(other)g(hand,)h(one)g(could)e(also)g
33978 (write)h(do)m(wn)h(the)f(probabilit)m(y)0 2491 y(that)25
33979 b(a)g(parton)g Fj(b)g Fw(is)g(pro)s(duced)h(with)f(a)g(fractional)e
33980 (energy)j Fj(z)t Fw(.)42 b(Almost)24 b(all)f(the)i(ab)s(o)m(v)m(e)h(k)m
33981 (ernels)h(can)e(b)s(e)0 2599 y(used)h(unc)m(hanged)g(also)e(for)h(this)
33982 f(purp)s(ose,)j(with)e(the)g(ob)m(vious)g(symmetry)g
33983 Fj(P)2822 2614 y Fh(a)p Fk(!)p Fh(bc)2995 2599 y Fw(\()p
33984 Fj(z)t Fw(\))j(=)g Fj(P)3315 2614 y Fh(a)p Fk(!)p Fh(cb)3488
33985 2599 y Fw(\(1)6 b Fn(\000)g Fj(z)t Fw(\).)0 2707 y(F)-8
33986 b(or)35 b(g)g Fn(!)f Fw(gg)q(,)j(ho)m(w)m(ev)m(er,)j(the)c(total)f
33987 (probabilit)m(y)f(to)i(\014nd)h(a)f(gluon)f(with)h(energy)h(fraction)e
33988 Fj(z)41 b Fw(is)36 b(the)0 2816 y(sum)29 b(of)f(the)h(probabilit)m(y)e
33989 (to)i(\014nd)g(either)f(the)i(\014rst)f(or)f(the)i(second)g(daugh)m
33990 (ter)f(there,)i(and)d(that)h(giv)m(es)0 2924 y(the)k(factor)f(of)g(2)g
33991 (enhancemen)m(t.)0 3172 y Fo(10.1.2)113 b(The)37 b(Sudak)m(o)m(v)i
33992 (form)e(factor)0 3344 y Fw(The)e Fj(t)f Fw(v)-5 b(ariable)33
33993 b(\014lls)g(the)h(function)g(of)f(a)h(kind)g(of)g(time)f(for)g(the)i
33994 (sho)m(w)m(er)h(ev)m(olution.)47 b(In)34 b(\014nal-state)0
33995 3453 y(sho)m(w)m(ers,)46 b Fj(t)c Fw(is)f(constrained)h(to)g(b)s(e)g
33996 (gradually)e(decreasing)i(a)m(w)m(a)m(y)h(from)d(the)j(hard)e
33997 (scattering,)j(in)0 3561 y(initial-state)34 b(ones)k(to)g(b)s(e)g
33998 (gradually)e(increasing)g(to)m(w)m(ards)j(the)f(hard)g(scattering.)59
33999 b(This)37 b(do)s(es)i(not)0 3669 y(mean)30 b(that)g(an)g(individual)e
34000 (parton)i(runs)h(through)f(a)h(range)f(of)g Fj(t)g Fw(v)-5
34001 b(alues:)43 b(in)29 b(the)i(end,)g(eac)m(h)h(parton)0
34002 3778 y(is)39 b(asso)s(ciated)g(with)h(a)f(\014xed)i Fj(t)e
34003 Fw(v)-5 b(alue,)41 b(and)f(the)g(ev)m(olution)e(pro)s(cedure)j(is)e
34004 (just)h(a)f(w)m(a)m(y)i(of)e(pic)m(king)0 3886 y(that)d(v)-5
34005 b(alue.)55 b(It)36 b(is)g(only)g(the)h(ensem)m(ble)g(of)f(partons)g(in)
34006 g(man)m(y)g(ev)m(en)m(ts)j(that)d(ev)m(olv)m(es)i(con)m(tin)m(uously)0
34007 3994 y(with)32 b Fj(t)p Fw(,)h(cf.)44 b(the)33 b(concept)g(of)f(parton)
34008 h(distributions.)146 4103 y(F)-8 b(or)30 b(a)g(giv)m(en)g
34009 Fj(t)h Fw(v)-5 b(alue)29 b(w)m(e)j(de\014ne)f(the)g(in)m(tegral)e(of)g
34010 (the)i(branc)m(hing)f(probabilit)m(y)f(o)m(v)m(er)i(all)d(allo)m(w)m
34011 (ed)0 4211 y Fj(z)37 b Fw(v)-5 b(alues,)1150 4379 y Fn(I)1204
34012 4394 y Fh(a)p Fk(!)p Fh(bc)1377 4379 y Fw(\()p Fj(t)p
34013 Fw(\))28 b(=)1619 4262 y Fg(Z)1702 4289 y Fh(z)1735 4298
34014 y Ff(+)1786 4289 y Fl(\()p Fh(t)p Fl(\))1665 4451 y Fh(z)1698
34015 4460 y Fd(\000)1750 4451 y Fl(\()p Fh(t)p Fl(\))1887
34016 4379 y Fw(d)p Fj(z)2018 4312 y(\013)2080 4327 y Fh(abc)p
34017 2018 4356 165 4 v 2046 4448 a Fw(2)p Fj(\031)2209 4379
34018 y(P)2272 4394 y Fh(a)p Fk(!)p Fh(bc)2444 4379 y Fw(\()p
34019 Fj(z)t Fw(\))34 b Fj(:)927 b Fw(\(129\))0 4599 y(The)28
34020 b(na)-11 b(\177)-38 b(\020v)m(e)27 b(probabilit)m(y)d(that)j(a)g(branc)
34021 m(hing)f(o)s(ccurs)i(during)e(a)g(small)f(range)i(of)f
34022 Fj(t)h Fw(v)-5 b(alues,)28 b Fj(\016)t(t)p Fw(,)g(is)e(giv)m(en)0
34023 4707 y(b)m(y)135 4641 y Fg(P)223 4728 y Fh(b;c)324 4707
34024 y Fn(I)378 4722 y Fh(a)p Fk(!)p Fh(bc)551 4707 y Fw(\()p
34025 Fj(t)p Fw(\))17 b Fj(\016)t(t)p Fw(,)33 b(and)g(th)m(us)g(the)g
34026 (probabilit)m(y)e(for)h(no)g(emission)g(b)m(y)h(1)22
34027 b Fn(\000)2874 4641 y Fg(P)2961 4728 y Fh(b;c)3062 4707
34028 y Fn(I)3116 4722 y Fh(a)p Fk(!)p Fh(bc)3290 4707 y Fw(\()p
34029 Fj(t)p Fw(\))17 b Fj(\016)t(t)p Fw(.)146 4816 y(If)36
34030 b(the)g(ev)m(olution)f(of)g(parton)h Fj(a)f Fw(starts)i(at)e(a)g
34031 (`time')g Fj(t)2159 4831 y Fl(0)2199 4816 y Fw(,)h(the)g(probabilit)m
34032 (y)e(that)h(the)i(parton)e(has)0 4924 y(not)e(y)m(et)h(branc)m(hed)g
34033 (at)f(a)f(`later)g(time')g Fj(t)c(>)h(t)1666 4939 y Fl(0)1738
34034 4924 y Fw(is)j(giv)m(en)i(b)m(y)f(the)h(pro)s(duct)f(of)f(the)i
34035 (probabilities)c(that)0 5032 y(it)e(did)h(not)g(branc)m(h)h(in)e(an)m
34036 (y)i(of)f(the)g(small)e(in)m(terv)-5 b(als)28 b Fj(\016)t(t)i
34037 Fw(b)s(et)m(w)m(een)h Fj(t)2470 5047 y Fl(0)2539 5032
34038 y Fw(and)e Fj(t)p Fw(.)42 b(In)30 b(other)f(w)m(ords,)i(letting)0
34039 5141 y Fj(\016)t(t)d Fn(!)f Fw(0,)33 b(the)g(no-branc)m(hing)f
34040 (probabilit)m(y)e(exp)s(onen)m(tiates:)663 5442 y Fn(P)732
34041 5457 y Fl(no)p Fk(\000)p Fl(branc)n(hing)1171 5442 y
34042 Fw(\()p Fj(t)1244 5457 y Fl(0)1284 5442 y Fj(;)17 b(t)p
34043 Fw(\))27 b(=)h(exp)1698 5268 y Fg(8)1698 5343 y(<)1698
34044 5492 y(:)1771 5442 y Fn(\000)1865 5325 y Fg(Z)1948 5352
34045 y Fh(t)1912 5514 y(t)1937 5523 y Ff(0)1995 5442 y Fw(d)p
34046 Fj(t)2084 5401 y Fk(0)2141 5359 y Fg(X)2160 5544 y Fh(b;c)2277
34047 5442 y Fn(I)2331 5457 y Fh(a)p Fk(!)p Fh(bc)2504 5442
34048 y Fw(\()p Fj(t)2577 5401 y Fk(0)2601 5442 y Fw(\))2639
34049 5268 y Fg(9)2639 5343 y(=)2639 5492 y(;)2740 5442 y Fw(=)g
34050 Fj(S)2904 5457 y Fh(a)2945 5442 y Fw(\()p Fj(t)p Fw(\))33
34051 b Fj(:)441 b Fw(\(130\))1817 5953 y(191)p eop
34052 %%Page: 192 198
34053 192 197 bop 0 -18 a Fw(Th)m(us)34 b(the)f(actual)f(probabilit)m(y)e
34054 (that)j(a)f(branc)m(hing)h(of)f Fj(a)g Fw(o)s(ccurs)i(at)e
34055 Fj(t)h Fw(is)f(giv)m(en)g(b)m(y)174 216 y(d)p Fn(P)297
34056 231 y Fh(a)p 174 260 166 4 v 212 352 a Fw(d)p Fj(t)376
34057 283 y Fw(=)c Fn(\000)567 216 y Fw(d)p Fn(P)690 231 y
34058 Fl(no)p Fk(\000)p Fl(branc)n(hing)1129 216 y Fw(\()p
34059 Fj(t)1202 231 y Fl(0)1242 216 y Fj(;)17 b(t)p Fw(\))p
34060 567 260 792 4 v 918 352 a(d)p Fj(t)1396 283 y Fw(=)1500
34061 112 y Fg(0)1500 262 y(@)1573 200 y(X)1592 385 y Fh(b;c)1709
34062 283 y Fn(I)1763 298 y Fh(a)p Fk(!)p Fh(bc)1936 283 y
34063 Fw(\()p Fj(t)p Fw(\))2047 112 y Fg(1)2047 262 y(A)2137
34064 283 y Fw(exp)2302 109 y Fg(8)2302 184 y(<)2302 333 y(:)2376
34065 283 y Fn(\000)2470 166 y Fg(Z)2553 192 y Fh(t)2516 355
34066 y(t)2541 364 y Ff(0)2600 283 y Fw(d)p Fj(t)2689 242 y
34067 Fk(0)2745 200 y Fg(X)2765 385 y Fh(b;c)2882 283 y Fn(I)2936
34068 298 y Fh(a)p Fk(!)p Fh(bc)3109 283 y Fw(\()p Fj(t)3182
34069 242 y Fk(0)3206 283 y Fw(\))3244 109 y Fg(9)3244 184
34070 y(=)3244 333 y(;)3366 283 y Fj(:)164 b Fw(\(131\))146
34071 585 y(The)45 b(\014rst)f(factor)g(is)f(the)h(na)-11 b(\177)-38
34072 b(\020v)m(e)44 b(branc)m(hing)g(probabilit)m(y)-8 b(,)44
34073 b(the)g(second)i(the)e(suppression)h(due)0 693 y(to)f(the)i(conserv)-5
34074 b(ation)44 b(of)g(total)g(probabilit)m(y:)66 b(if)43
34075 b(a)i(parton)f(has)h(already)g(branc)m(hed)h(at)e(a)h(`time')0
34076 801 y Fj(t)35 765 y Fk(0)106 801 y Fj(<)i(t)p Fw(,)g(it)c(can)h(no)g
34077 (longer)f(branc)m(h)i(at)f Fj(t)p Fw(.)78 b(This)44 b(is)g(nothing)f
34078 (but)h(the)h(exp)s(onen)m(tial)e(factor)h(that)0 910
34079 y(is)k(familiar)c(from)k(radioactiv)m(e)f(deca)m(y)-8
34080 b(.)92 b(In)49 b(parton-sho)m(w)m(er)h(language)d(the)i(exp)s(onen)m
34081 (tial)f(factor)0 1018 y Fj(S)60 1033 y Fh(a)102 1018
34082 y Fw(\()p Fj(t)p Fw(\))27 b(=)h Fn(P)413 1033 y Fl(no)p
34083 Fk(\000)p Fl(branc)n(hing)852 1018 y Fw(\()p Fj(t)925
34084 1033 y Fl(0)964 1018 y Fj(;)17 b(t)p Fw(\))33 b(is)f(referred)h(to)f
34085 (as)h(the)g(Sudak)m(o)m(v)h(form)e(factor)g([Sud56].)146
34086 1127 y(The)45 b(ordering)e(in)g(terms)g(of)g(increasing)g
34087 Fj(t)h Fw(ab)s(o)m(v)m(e)g(is)f(the)i(appropriate)d(one)i(for)f
34088 (initial-state)0 1235 y(sho)m(w)m(ers.)87 b(In)46 b(\014nal-state)f
34089 (sho)m(w)m(ers)k(the)d(ev)m(olution)g(is)g(from)e(an)j(initial)42
34090 b Fj(t)2868 1250 y Fl(max)3050 1235 y Fw(\(set)47 b(b)m(y)g(the)f(hard)
34091 0 1343 y(scattering\))32 b(and)g(to)m(w)m(ards)h(smaller)d
34092 Fj(t)p Fw(.)43 b(In)32 b(that)g(case)h(the)f(in)m(tegral)f(from)f
34093 Fj(t)2805 1358 y Fl(0)2877 1343 y Fw(to)i Fj(t)g Fw(in)f(eqs.)i
34094 (\(130\))e(and)0 1452 y(\(131\))i(is)g(replaced)h(b)m(y)h(an)e(in)m
34095 (tegral)g(from)f Fj(t)i Fw(to)f Fj(t)1826 1467 y Fl(max)1962
34096 1452 y Fw(.)47 b(Since,)34 b(b)m(y)h(con)m(v)m(en)m(tion,)g(the)g
34097 (Sudak)m(o)m(v)g(factor)0 1560 y(is)g(still)e(de\014ned)k(from)d(the)i
34098 (lo)m(w)m(er)g(cut-o\013)f Fj(t)1639 1575 y Fl(0)1679
34099 1560 y Fw(,)h(i.e.)51 b(giv)m(es)36 b(the)g(probabilit)m(y)e(that)h(a)g
34100 (parton)g(starting)0 1668 y(at)f(scale)g Fj(t)g Fw(will)e(not)h(ha)m(v)
34101 m(e)j(branc)m(hed)f(b)m(y)g(the)g(lo)m(w)m(er)f(cut-o\013)f(scale)h
34102 Fj(t)2573 1683 y Fl(0)2613 1668 y Fw(,)h(the)f(no-branc)m(hing)f
34103 (factor)h(is)0 1777 y(actually)d Fn(P)440 1792 y Fl(no)p
34104 Fk(\000)p Fl(branc)n(hing)879 1777 y Fw(\()p Fj(t)952
34105 1792 y Fl(max)1088 1777 y Fj(;)17 b(t)p Fw(\))27 b(=)h
34106 Fj(S)1396 1792 y Fh(a)1437 1777 y Fw(\()p Fj(t)1510 1792
34107 y Fl(max)1646 1777 y Fw(\))p Fj(=S)1793 1792 y Fh(a)1834
34108 1777 y Fw(\()p Fj(t)p Fw(\).)146 1885 y(W)-8 b(e)34 b(note)g(that)f
34109 (the)h(ab)s(o)m(v)m(e)g(structure)h(is)e(exactly)h(of)f(the)h(kind)f
34110 (discussed)i(in)e(section)h(4.2.)46 b(The)0 1993 y(v)m(eto)i(algorithm)
34111 c(is)j(therefore)h(extensiv)m(ely)h(used)f(in)e(the)i(Mon)m(te)g(Carlo)
34112 f(sim)m(ulation)d(of)j(parton)0 2102 y(sho)m(w)m(ers.)0
34113 2349 y Fo(10.1.3)113 b(Matc)m(hing)37 b(to)g(the)g(hard)h(scattering)0
34114 2522 y Fw(The)50 b(ev)m(olution)e(in)f Fj(Q)862 2486
34115 y Fl(2)951 2522 y Fw(is)h(b)s(egun)h(from)f(some)g(maxim)m(um)f(scale)h
34116 Fj(Q)2676 2486 y Fl(2)2676 2547 y(max)2861 2522 y Fw(for)g
34117 (\014nal-state)g(parton)0 2630 y(sho)m(w)m(ers,)i(and)44
34118 b(is)g(terminated)g(at)g(\(a)g(p)s(ossibly)g(di\013eren)m(t\))h
34119 Fj(Q)2384 2594 y Fl(2)2384 2655 y(max)2564 2630 y Fw(for)f
34120 (initial-state)d(sho)m(w)m(ers.)81 b(In)0 2739 y(general)30
34121 b Fj(Q)411 2703 y Fl(2)411 2763 y(max)578 2739 y Fw(is)g(not)g(kno)m
34122 (wn.)45 b(Indeed,)32 b(since)g(the)f(parton-sho)m(w)m(er)h(language)d
34123 (do)s(es)i(not)g(guaran)m(tee)0 2847 y(agreemen)m(t)40
34124 b(with)f(higher-order)f(matrix-elemen)m(t)g(results,)j(neither)f(in)f
34125 (absolute)g(shap)s(e)h(nor)f(nor-)0 2955 y(malization,)26
34126 b(there)j(is)f(no)g(unique)h(prescription)f(for)g(a)g(`b)s(est')h(c)m
34127 (hoice.)42 b(Generically)27 b Fj(Q)3210 2970 y Fl(max)3374
34128 2955 y Fw(should)h(b)s(e)0 3064 y(of)37 b(the)h(order)f(of)g(the)h
34129 (hard-scattering)e(scale,)j(i.e.)57 b(the)38 b(largest)e(virtualit)m(y)
34130 g(should)h(b)s(e)h(asso)s(ciated)0 3172 y(with)e(the)g(hard)g
34131 (scattering,)h(and)f(initial-)c(and)k(\014nal-state)g(parton)f(sho)m(w)
34132 m(ers)k(should)d(only)f(in)m(v)m(olv)m(e)0 3280 y(virtualities)24
34133 b(smaller)h(than)i(that.)42 b(This)27 b(ma)m(y)g(b)s(e)g(view)m(ed)h
34134 (just)g(as)f(a)g(matter)f(of)g(sound)i(b)s(o)s(okk)m(eeping:)0
34135 3389 y(in)39 b(a)h(2)g Fn(!)g Fj(n)g Fw(graph,)i(a)e(2)g
34136 Fn(!)g Fw(2)f(hard-scattering)h(subgraph)g(could)g(b)s(e)g(c)m(hosen)i
34137 (sev)m(eral)e(di\013eren)m(t)0 3497 y(w)m(a)m(ys,)47
34138 b(but)d(if)d(all)g(the)j(p)s(ossibilities)c(w)m(ere)k(to)e(b)s(e)i
34139 (generated)f(then)h(the)f(cross)h(section)f(w)m(ould)g(b)s(e)0
34140 3605 y(double-coun)m(ted.)k(Therefore)35 b(one)e(should)h(de\014ne)g
34141 (the)g(2)29 b Fn(!)g Fw(2)34 b(`hard')f(piece)h(of)f(a)g(2)c
34142 Fn(!)g Fj(n)34 b Fw(graph)f(as)0 3714 y(the)g(one)g(that)f(in)m(v)m
34143 (olv)m(es)i(the)f(largest)e(virtualit)m(y)-8 b(.)146
34144 3822 y(Of)35 b(course,)h(the)g(issue)f(of)g(double-coun)m(ting)f(dep)s
34145 (ends)i(a)f(bit)f(on)h(what)g(pro)s(cesses)i(are)e(actually)0
34146 3931 y(generated)29 b(in)f(the)g(program.)41 b(If)28
34147 b(one)h(considers)g(a)e(q)p 1949 3878 52 4 v(q)q(g)j(\014nal)d(state)i
34148 (in)e(hadron)i(colliders,)e(this)h(could)0 4039 y(come)35
34149 b(either)g(as)g(\014nal-state)f(radiation)f(o\013)i(a)g(q)p
34150 1807 3986 V(q)h(pair,)e(or)h(b)m(y)h(a)f(gluon)f(splitting)f(in)h(a)h
34151 (q)p 3375 3986 V(q)h(pair,)f(or)0 4147 y(man)m(y)d(other)g(w)m(a)m(ys,)
34152 i(so)e(that)f(the)i(danger)f(of)f(double-coun)m(ting)g(is)g(v)m(ery)j
34153 (real.)42 b(On)32 b(the)g(other)g(hand,)0 4256 y(consider)24
34154 b(the)h(pro)s(duction)e(of)g(a)h(lo)m(w-)p Fj(p)1419
34155 4271 y Fk(?)1477 4256 y Fw(,)i(lo)m(w-mass)d(Drell{Y)-8
34156 b(an)21 b(pair)i(of)g(leptons,)j(together)e(with)g(t)m(w)m(o)0
34157 4364 y(quark)34 b(jets.)46 b(Suc)m(h)34 b(a)f(pro)s(cess)h(in)f
34158 (principle)e(could)i(pro)s(ceed)h(b)m(y)g(ha)m(ving)f(a)g
34159 Fj(\015)2884 4328 y Fk(\003)2957 4364 y Fw(emitted)f(o\013)h(a)g(quark)
34160 0 4472 y(leg,)d(with)g(a)g(quark{quark)i(scattering)e(as)h(hard)f(in)m
34161 (teraction.)42 b(Ho)m(w)m(ev)m(er,)33 b(since)e(this)f(pro)s(cess)i(is)
34162 e(not)0 4581 y(included)37 b(in)g(the)h(program,)f(there)i(is)e(no)g
34163 (actual)g(danger)g(of)g(\(this)h(particular\))d(double-coun)m(ting,)0
34164 4689 y(and)d(so)h(the)g(scale)f(of)g(ev)m(olution)f(could)h(b)s(e)h
34165 (pic)m(k)m(ed)g(larger)e(than)i(the)g(mass)f(of)g(the)g(Drell{Y)-8
34166 b(an)30 b(pair,)0 4797 y(at)i(least)g(b)m(y)i(some)e(amoun)m(t.)146
34167 4906 y(F)-8 b(or)36 b(most)g(2)f Fn(!)f Fw(2)i(scattering)g(pro)s
34168 (cesses)j(in)d Fm(Pythia)p Fw(,)i(the)f Fj(Q)2529 4869
34169 y Fl(2)2605 4906 y Fw(scale)g(of)f(the)h(hard)g(scattering)0
34170 5014 y(is)c(c)m(hosen)i(to)f(b)s(e)f Fj(Q)743 4978 y
34171 Fl(2)743 5039 y(hard)918 5014 y Fw(=)d Fj(p)1073 4978
34172 y Fl(2)1073 5039 y Fk(?)1165 5014 y Fw(\(when)35 b(the)f(\014nal-state)
34173 f(particles)g(are)g(massless,)i(otherwise)f(masses)0
34174 5122 y(are)f(added\).)45 b(In)34 b(\014nal-state)e(sho)m(w)m(ers,)j
34175 (where)g Fj(Q)e Fw(is)g(asso)s(ciated)f(with)h(the)h(mass)f(of)f(the)i
34176 (branc)m(hing)0 5231 y(parton,)k(transv)m(erse)h(momen)m(ta)d
34177 (generated)i(in)e(the)h(sho)m(w)m(er)i(are)e(constrained)g(b)m(y)h
34178 Fj(p)3188 5246 y Fk(?)3283 5231 y Fj(<)d(Q=)p Fw(2.)56
34179 b(An)0 5339 y(ordering)43 b(that)h(sho)m(w)m(er)i Fj(p)1000
34180 5354 y Fk(?)1103 5339 y Fw(b)s(e)f(smaller)d(than)i(the)h
34181 (hard-scattering)e Fj(p)2753 5354 y Fk(?)2856 5339 y
34182 Fw(therefore)i(corresp)s(onds)0 5447 y(roughly)33 b(to)h
34183 Fj(Q)554 5411 y Fl(2)554 5472 y(max)719 5447 y Fw(=)c(4)p
34184 Fj(Q)951 5411 y Fl(2)951 5472 y(hard)1096 5447 y Fw(,)k(whic)m(h)h(is)e
34185 (the)h(default)f(assumption.)47 b(In)34 b(principle,)f(the)h(constrain)
34186 m(ts)0 5556 y(are)d(sligh)m(tly)f(di\013eren)m(t)i(for)f(initial-state)
34187 c(sho)m(w)m(ers,)34 b(but)e(not)f(enough)h(to)f(w)m(arran)m(t)h(a)f
34188 (separate)h Fj(Q)3644 5571 y Fl(max)0 5664 y Fw(c)m(hoice.)1817
34189 5953 y(192)p eop
34190 %%Page: 193 199
34191 193 198 bop 146 -18 a Fw(The)39 b(situation)d(is)h(rather)h(b)s(etter)g
34192 (for)g(the)g(\014nal-state)f(sho)m(w)m(ers)j(in)d(the)h(deca)m(y)h(of)e
34193 (an)m(y)i(colour-)0 90 y(singlet)d(particles,)h(suc)m(h)i(as)e(the)g(Z)
34194 1318 54 y Fl(0)1394 90 y Fw(or)g(the)g(H)1763 54 y Fl(0)1803
34195 90 y Fw(,)h(either)f(as)g(part)g(of)f(a)h(hard)g(2)e
34196 Fn(!)g Fw(1)g Fn(!)f Fw(2)j(pro)s(cess,)0 198 y(or)43
34197 b(an)m(ywhere)j(else)d(in)g(the)h(\014nal)f(state.)77
34198 b(Then)44 b(w)m(e)h(kno)m(w)f(that)g Fj(Q)2597 213 y
34199 Fl(max)2776 198 y Fw(has)g(to)f(b)s(e)h(put)f(equal)h(to)0
34200 307 y(the)38 b(particle)f(mass.)60 b(It)38 b(is)g(also)f(p)s(ossible)g
34201 (to)h(matc)m(h)g(the)g(parton-sho)m(w)m(er)h(ev)m(olution)e(to)h(the)g
34202 (\014rst-)0 415 y(order)32 b(matrix-elemen)m(t)e(results.)43
34203 b(In)32 b(the)h(program)d(this)i(is)f(done)h(under)h(the)f(assumption)f
34204 (that)h(the)0 523 y(resonance)42 b(has)f(spin)g(one,)i(and)e(this)f
34205 (approac)m(h)h(is)g(kno)m(wn)h(to)e(w)m(ork)i(v)m(ery)g(w)m(ell)e(for)g
34206 Fj(\015)3329 487 y Fk(\003)3369 523 y Fj(=)p Fw(Z)3478
34207 487 y Fl(0)3517 523 y Fw(.)68 b(The)0 632 y(mac)m(hinery)30
34208 b(is)g(not)g(fully)f(correct)i(for)f(the)g(spin-zero)g(H)2074
34209 595 y Fl(0)2114 632 y Fw(,)h(but)f(should)h(also)e(there)i(pro)m(vide)f
34210 (a)g(rather)0 740 y(go)s(o)s(d)h(description.)146 848
34211 y(QCD)k(pro)s(cesses)i(suc)m(h)f(as)f(qg)e Fn(!)e Fw(qg)36
34212 b(p)s(ose)g(a)e(sp)s(ecial)g(problem)f(when)j(the)f(scattering)g(angle)
34213 f(is)0 957 y(small.)65 b(Coherence)43 b(e\013ects)f(\(see)g(b)s(elo)m
34214 (w\))e(ma)m(y)g(then)i(restrict)e(the)h(emission)f(further)h(than)f
34215 (what)0 1065 y(is)c(just)g(giv)m(en)g(b)m(y)h(the)f Fj(Q)943
34216 1080 y Fl(max)1115 1065 y Fw(scale)g(in)m(tro)s(duced)g(ab)s(o)m(v)m
34217 (e.)55 b(This)36 b(is)f(most)h(easily)f(view)m(ed)i(in)e(the)i(rest)0
34218 1173 y(frame)k(of)h(the)h(2)h Fn(!)f Fw(2)f(hard)h(scattering)f(subpro)
34219 s(cess.)74 b(Some)42 b(colours)g(\015o)m(w)h(from)e(the)h(initial)d(to)
34220 0 1282 y(the)44 b(\014nal)g(state.)78 b(The)45 b(radiation)d(asso)s
34221 (ciated)i(with)g(suc)m(h)h(a)f(colour)f(\015o)m(w)i(should)f(b)s(e)g
34222 (restricted)0 1390 y(to)38 b(a)f(cone)i(with)e(op)s(ening)h(angle)f
34223 (giv)m(en)h(b)m(y)h(the)f(di\013erence)h(b)s(et)m(w)m(een)h(the)e
34224 (original)d(and)j(the)g(\014nal)0 1498 y(colour)45 b(directions;)52
34225 b(there)46 b(is)g(one)g(suc)m(h)h(cone)f(around)g(the)h(incoming)c
34226 (parton)j(for)f(initial)d(state)0 1607 y(radiation)32
34227 b(and)i(one)g(around)g(the)g(outgoing)e(parton)i(for)g(\014nal)f(state)
34228 h(radiation.)45 b(Colours)34 b(that)f(are)0 1715 y(annihilated)i(or)j
34229 (created)g(in)f(the)h(pro)s(cess)g(e\013ectiv)m(ely)g(corresp)s(ond)h
34230 (to)e(an)g(op)s(ening)g(angle)g(of)g(180)3741 1679 y
34231 Fk(\016)0 1823 y Fw(and)44 b(therefore)h(the)g(emission)d(is)i(not)g
34232 (constrained)g(for)g(these.)79 b(F)-8 b(or)44 b(a)g(gluon,)i(whic)m(h)e
34233 (ha)m(v)m(e)i(t)m(w)m(o)0 1932 y(colours)36 b(and)h(therefore)h(t)m(w)m
34234 (o)f(di\013eren)m(t)g(cones,)i(a)e(random)f(c)m(hoice)h(is)f(made)g(b)s
34235 (et)m(w)m(een)j(the)f(t)m(w)m(o)f(for)0 2040 y(the)j(\014rst)g(branc)m
34236 (hing.)65 b(F)-8 b(urther,)41 b(coherence)g(e\013ects)g(also)e(imply)f
34237 (azim)m(uthal)f(anisotropies)i(of)g(the)0 2148 y(emission)31
34238 b(inside)h(the)h(allo)m(w)m(ed)f(cones.)0 2422 y Fp(10.2)136
34239 b(Final-State)46 b(Sho)l(w)l(ers)0 2595 y Fw(Final-state)c(sho)m(w)m
34240 (ers)47 b(are)d(time-lik)m(e,)h(i.e.)78 b(all)43 b(virtualities)e
34241 Fj(m)2430 2559 y Fl(2)2518 2595 y Fw(=)47 b Fj(E)2719
34242 2559 y Fl(2)2789 2595 y Fn(\000)31 b Fo(p)2959 2559 y
34243 Fl(2)3046 2595 y Fn(\025)48 b Fw(0.)79 b(The)45 b(maxi-)0
34244 2703 y(m)m(um)38 b(allo)m(w)m(ed)f(virtualit)m(y)g(scale)i
34245 Fj(Q)1359 2667 y Fl(2)1359 2728 y(max)1533 2703 y Fw(is)f(set)h(b)m(y)h
34246 (the)f(hard-scattering)f(pro)s(cess,)j(and)e(thereafter)0
34247 2812 y(the)i(virtualit)m(y)d(is)i(decreased)i(in)e(eac)m(h)h(subsequen)
34248 m(t)i(branc)m(hing,)g(do)m(wn)e(to)f(the)h(cut-o\013)e(scale)i
34249 Fj(Q)3713 2775 y Fl(2)3713 2836 y(0)3752 2812 y Fw(.)0
34250 2920 y(This)36 b(cut-o\013)g(scale)g(is)g(used)h(to)f(regulate)f(b)s
34251 (oth)h(soft)g(and)g(collinear)e(div)m(ergences)k(in)d(the)i(emission)0
34252 3028 y(probabilities.)146 3137 y(The)d(main)d(p)s(oin)m(ts)h(of)g(the)h
34253 Fm(Jetset)f Fw(sho)m(w)m(ering)h(algorithm)c(are)k(as)g(follo)m(ws.)145
34254 3250 y Fn(\017)49 b Fw(It)d(is)g(a)h(leading-log)c(algorithm,)j(of)g
34255 (the)h(impro)m(v)m(ed,)j(coheren)m(t)e(kind,)i(i.e.)85
34256 b(with)46 b(angular)244 3358 y(ordering.)145 3476 y Fn(\017)j
34257 Fw(It)37 b(can)g(b)s(e)h(used)g(for)e(an)h(arbitrary)f(initial)e(pair)i
34258 (of)g(partons)i(or,)g(in)e(fact,)i(for)e(an)m(y)i(one,)h(t)m(w)m(o)244
34259 3584 y(or)31 b(three)i(giv)m(en)f(en)m(tities)f(\(including)f(hadrons)i
34260 (and)g(gauge)g(b)s(osons\))g(although)f(only)g(quarks,)244
34261 3693 y(gluons)h(and)h(leptons)f(can)h(initiate)d(a)i(sho)m(w)m(er.)145
34262 3810 y Fn(\017)49 b Fw(The)e(pair)d(of)h(sho)m(w)m(ering)i(partons)f
34263 (ma)m(y)f(b)s(e)h(giv)m(en)g(in)f(an)m(y)i(frame,)h(but)e(the)g(ev)m
34264 (olution)f(is)244 3919 y(carried)32 b(out)g(in)g(the)h(c.m.)43
34265 b(frame)32 b(of)g(the)h(sho)m(w)m(ering)h(partons.)145
34266 4036 y Fn(\017)49 b Fw(Energy)29 b(and)f(momen)m(tum)f(are)h(conserv)m
34267 (ed)j(exactly)d(at)g(eac)m(h)h(step)g(of)f(the)g(sho)m(w)m(ering)h(pro)
34268 s(cess.)145 4154 y Fn(\017)49 b Fw(If)e(the)g(initial)c(pair)j(is)g(q)p
34269 1212 4101 52 4 v(q)i(or)e Fj(`)1485 4118 y Fl(+)1544
34270 4154 y Fj(`)1585 4118 y Fk(\000)1691 4154 y Fw(\(coming)f(from)h(a)g
34271 (resonance)i(deca)m(y\))h(an)d(additional)244 4263 y(rejection)29
34272 b(tec)m(hnique)h(is)e(used)i(in)e(the)i(\014rst)f(branc)m(hing)g(of)f
34273 (eac)m(h)i(of)f(the)g(t)m(w)m(o)h(original)25 b(partons,)244
34274 4371 y(so)33 b(as)f(to)h(repro)s(duce)g(the)g(lo)m(w)m(est-order)g
34275 (di\013eren)m(tial)e(3-jet)h(cross)h(section.)145 4489
34276 y Fn(\017)49 b Fw(In)33 b(subsequen)m(t)i(branc)m(hings,)f(angular)d
34277 (ordering)h(\(coherence)i(e\013ects\))g(is)e(imp)s(osed.)145
34278 4607 y Fn(\017)49 b Fw(Gluon)30 b(helicit)m(y)g(e\013ects,)j(i.e.)43
34279 b(correlations)29 b(b)s(et)m(w)m(een)34 b(the)e(pro)s(duction)e(plane)h
34280 (and)g(the)h(deca)m(y)244 4715 y(plane)g(of)g(a)g(gluon,)g(can)h(b)s(e)
34281 g(included.)145 4833 y Fn(\017)49 b Fw(The)32 b(\014rst-order)f
34282 Fj(\013)959 4848 y Fl(s)1022 4833 y Fw(expression)i(is)d(used,)j(with)d
34283 (the)i Fj(Q)2300 4797 y Fl(2)2371 4833 y Fw(scale)f(giv)m(en)g(b)m(y)h
34284 (\(an)f(appro)m(ximation)244 4941 y(to\))42 b(the)g(squared)i(transv)m
34285 (erse)g(momen)m(tum)d(of)g(a)h(branc)m(hing.)72 b(The)43
34286 b(default)f(\003)3298 4956 y Fl(QCD)3461 4941 y Fw(,)j(whic)m(h)244
34287 5049 y(should)32 b(not)h(b)s(e)g(regarded)g(as)f(a)h(prop)s(er)f(\003)p
34288 1841 5022 108 4 v 28 x Fl(MS)1949 5049 y Fw(,)h(is)f(0.4)g(GeV.)145
34289 5167 y Fn(\017)49 b Fw(The)33 b(parton)g(sho)m(w)m(er)h(is)e(b)m(y)i
34290 (default)d(cut)i(o\013)g(at)f(a)g(mass)h(scale)f(of)g(1)h(GeV.)0
34291 5280 y(Let)g(us)g(no)m(w)g(pro)s(ceed)h(with)e(a)g(more)g(detailed)f
34292 (description.)1817 5953 y(193)p eop
34293 %%Page: 194 200
34294 194 199 bop 0 -18 a Fo(10.2.1)113 b(The)37 b(c)m(hoice)g(of)g(ev)m
34295 (olution)f(v)-6 b(ariable)0 154 y Fw(In)29 b(the)g Fm(Jetset)e
34296 Fw(sho)m(w)m(er)j(algorithm,)c(the)j(ev)m(olution)f(v)-5
34297 b(ariable)27 b Fj(Q)2447 118 y Fl(2)2515 154 y Fw(is)h(asso)s(ciated)g
34298 (with)g(the)h(squared)0 263 y(mass)44 b(of)g(the)h(branc)m(hing)f
34299 (parton,)j Fj(Q)1451 226 y Fl(2)1538 263 y Fw(=)h Fj(m)1747
34300 226 y Fl(2)1747 287 y Fh(a)1833 263 y Fw(for)43 b(a)h(branc)m(hing)h
34301 Fj(a)i Fn(!)h Fj(bc)p Fw(.)79 b(As)44 b(a)g(consequence,)0
34302 371 y Fj(t)38 b Fw(=)g(ln)o(\()p Fj(Q)383 335 y Fl(2)423
34303 371 y Fj(=)p Fw(\003)540 335 y Fl(2)579 371 y Fw(\))g(=)f(ln\()p
34304 Fj(m)973 335 y Fl(2)973 396 y Fh(a)1015 371 y Fj(=)p
34305 Fw(\003)1132 335 y Fl(2)1170 371 y Fw(\).)62 b(This)39
34306 b Fj(Q)1603 335 y Fl(2)1681 371 y Fw(c)m(hoice)g(is)f(not)g(unique,)j
34307 (and)e(indeed)g(other)f(programs)0 479 y(ha)m(v)m(e)f(other)e
34308 (de\014nitions:)49 b Fm(Her)-9 b(wig)35 b Fw(uses)i Fj(Q)1688
34309 443 y Fl(2)1760 479 y Fn(\031)c Fj(m)1955 443 y Fl(2)1994
34310 479 y Fj(=)p Fw(\(2)p Fj(z)t Fw(\(1)24 b Fn(\000)h Fj(z)t
34311 Fw(\)\))36 b([Mar88)o(])g(and)f Fm(Ariadne)h Fj(Q)3632
34312 443 y Fl(2)3704 479 y Fw(=)0 588 y Fj(p)49 551 y Fl(2)49
34313 612 y Fk(?)136 588 y Fn(\031)28 b Fj(z)t Fw(\(1)22 b
34314 Fn(\000)h Fj(z)t Fw(\))p Fj(m)671 551 y Fl(2)744 588
34315 y Fw([P)m(et88)q(].)146 696 y(With)38 b Fj(Q)g Fw(a)g(mass)g(scale,)i
34316 (the)e(lo)m(w)m(er)g(cut-o\013)g Fj(Q)1941 711 y Fl(0)2019
34317 696 y Fw(is)f(one)i(in)e(mass.)60 b(T)-8 b(o)38 b(b)s(e)h(more)e
34318 (precise,)j(in)e(a)0 804 y(QCD)32 b(sho)m(w)m(er,)j(the)e
34319 Fj(Q)846 819 y Fl(0)918 804 y Fw(parameter)f(is)g(used)i(to)e(deriv)m
34320 (e)h(e\013ectiv)m(e)h(masses)1370 1054 y Fj(m)1455 1069
34321 y Fl(e\013)6 b Fh(;)p Fl(g)1676 1054 y Fw(=)1845 987
34322 y(1)p 1845 1031 49 4 v 1845 1123 a(2)1904 1054 y Fj(Q)1981
34323 1069 y Fl(0)2053 1054 y Fj(;)1369 1324 y(m)1454 1339
34324 y Fl(e\013)g Fh(;)p Fl(q)1676 1324 y Fw(=)1835 1163 y
34325 Fg(s)p 1918 1163 433 4 v 161 x Fj(m)2003 1295 y Fl(2)2003
34326 1349 y(q)2067 1324 y Fw(+)2175 1257 y(1)p 2175 1301 49
34327 4 v 2175 1392 a(4)2234 1324 y Fj(Q)2311 1290 y Fl(2)2311
34328 1346 y(0)2383 1324 y Fj(;)1147 b Fw(\(132\))0 1577 y(where)29
34329 b(the)f Fj(m)525 1592 y Fl(q)595 1577 y Fw(ha)m(v)m(e)h(b)s(een)f(c)m
34330 (hosen)i(as)d(t)m(ypical)g(curren)m(t-algebra)h(quark)g(masses.)43
34331 b(A)28 b(parton)f(cannot)0 1685 y(branc)m(h)35 b(unless)f(its)g(mass)g
34332 (is)f(at)h(least)f(the)h(sum)g(of)g(the)g(ligh)m(test)f(pair)g(of)g
34333 (allo)m(w)m(ed)g(deca)m(y)j(pro)s(ducts,)0 1793 y(i.e.)43
34334 b(the)33 b(minim)m(um)c(mass)k(scale)f(at)h(whic)m(h)g(a)f(branc)m
34335 (hing)h(is)f(p)s(ossible)g(is)1200 1992 y Fj(m)1285 2007
34336 y Fl(min)n Fh(;)p Fl(g)1546 1992 y Fw(=)82 b(2)17 b Fj(m)1855
34337 2007 y Fl(e\013)6 b Fh(;)p Fl(g)2021 1992 y Fw(=)27 b
34338 Fj(Q)2201 2007 y Fl(0)2273 1992 y Fj(;)1199 2126 y(m)1284
34339 2141 y Fl(min)o Fh(;)p Fl(q)1546 2126 y Fw(=)82 b Fj(m)1789
34340 2141 y Fl(e\013)7 b Fh(;)p Fl(q)1951 2126 y Fw(+)22 b
34341 Fj(m)2134 2141 y Fl(e\013)6 b Fh(;)p Fl(g)2299 2126 y
34342 Fn(\025)29 b Fj(Q)2482 2141 y Fl(0)2554 2126 y Fj(:)976
34343 b Fw(\(133\))0 2325 y(The)35 b(ab)s(o)m(v)m(e)g(masses)g(are)f(used)h
34344 (to)f(constrain)f(the)i(allo)m(w)m(ed)e(range)h(of)g
34345 Fj(Q)2711 2289 y Fl(2)2784 2325 y Fw(and)h Fj(z)j Fw(v)-5
34346 b(alues.)48 b(Ho)m(w)m(ev)m(er,)0 2433 y(once)34 b(it)e(has)h(b)s(een)h
34347 (decided)g(that)f(a)g(parton)g(cannot)g(branc)m(h)h(an)m(y)g(further,)g
34348 (that)f(parton)f(is)h(put)h(on)0 2542 y(the)f(mass)g(shell,)e(i.e.)43
34349 b(`\014nal-state')32 b(gluons)g(are)h(massless.)146 2650
34350 y(When)d(also)e(photon)g(emission)g(is)g(included,)h(a)g(separate)g
34351 Fj(Q)2377 2665 y Fl(0)2446 2650 y Fw(scale)f(is)h(in)m(tro)s(duced)f
34352 (for)h(the)g(QED)0 2758 y(part)j(of)f(the)h(sho)m(w)m(er,)i(exactly)f
34353 (repro)s(ducing)e(the)h(QCD)g(one)g(ab)s(o)m(v)m(e)h([Sj\177)-49
34354 b(o92c].)43 b(By)32 b(default)f(the)i(t)m(w)m(o)0 2867
34355 y Fj(Q)77 2882 y Fl(0)147 2867 y Fw(scales)f(are)f(c)m(hosen)h(equal,)f
34356 (and)g(ha)m(v)m(e)h(the)f(v)-5 b(alue)31 b(1)f(GeV.)h(If)g(an)m
34357 (ything,)g(one)g(w)m(ould)g(b)s(e)g(inclined)0 2975 y(to)i(allo)m(w)f
34358 (a)h(cut-o\013)g(lo)m(w)m(er)g(for)g(photon)h(emission)e(than)h(for)g
34359 (gluon)f(one.)46 b(In)34 b(that)f(case)h(the)g(allo)m(w)m(ed)0
34360 3083 y Fj(z)40 b Fw(range)35 b(of)g(photon)g(emission)f(w)m(ould)h(b)s
34361 (e)g(larger)f(than)i(that)f(of)f(gluon)g(emission,)h(and)g(at)g(the)h
34362 (end)0 3192 y(of)c(the)h(sho)m(w)m(er)h(ev)m(olution)e(only)g(photon)h
34363 (emission)e(w)m(ould)i(b)s(e)f(allo)m(w)m(ed.)146 3300
34364 y(Photon)40 b(and)f(gluon)f(emission)g(di\013er)g(fundamen)m(tally)g
34365 (in)g(that)h(photons)g(app)s(ear)g(as)h(ph)m(ysical)0
34366 3408 y(particles)h(in)f(the)i(\014nal)f(state,)j(while)d(gluons)g(are)g
34367 (con\014ned.)72 b(F)-8 b(or)40 b(photon)i(emission)e(o\013)h(quarks,)0
34368 3517 y(ho)m(w)m(ev)m(er,)50 b(the)c(con\014nemen)m(t)g(forces)f(acting)
34369 f(on)h(the)g(quark)h(ma)m(y)f(pro)m(vide)g(an)g(e\013ectiv)m(e)g
34370 (photon)0 3625 y(emission)40 b(cut-o\013)h(at)f(larger)g(scales)i(than)
34371 f(the)h(bare)f(quark)h(mass.)69 b(Soft)41 b(and)g(collinear)e(photons)0
34372 3733 y(could)31 b(also)g(b)s(e)h(emitted)e(b)m(y)j(the)f(\014nal-state)
34373 f(c)m(harged)h(hadrons;)h(the)f(matc)m(hing)e(b)s(et)m(w)m(een)k
34374 (emission)0 3842 y(o\013)c(quarks)i(and)f(o\013)g(hadrons)g(is)f(a)h
34375 (delicate)f(issue,)h(and)g(w)m(e)h(therefore)f(do)g(not)g(attempt)f(to)
34376 g(address)0 3950 y(the)j(soft-photon)f(region.)146 4058
34377 y(F)-8 b(or)35 b(photon)g(emission)g(o\013)g(leptons,)h(there)g(is)f
34378 (no)g(need)i(to)e(in)m(tro)s(duce)h(an)m(y)g(collinear)d(emission)0
34379 4167 y(cut-o\013)g(b)s(ey)m(ond)i(what)g(is)e(giv)m(en)h(b)m(y)h(the)f
34380 (lepton)f(mass,)h(but)g(w)m(e)h(k)m(eep)h(the)e(same)g(cut-o\013)f
34381 (approac)m(h)0 4275 y(as)k(for)e(quarks:)53 b(\014rstly)-8
34382 b(,)37 b(the)g(program)e(is)h(not)g(aimed)f(at)h(high-precision)e
34383 (studies)j(of)f(lepton)g(pairs)0 4383 y(\(where)c(in)m(terference)h
34384 (terms)e(b)s(et)m(w)m(een)i(initial-)27 b(and)32 b(\014nal-state)e
34385 (radiation)f(also)i(w)m(ould)g(ha)m(v)m(e)h(to)f(b)s(e)0
34386 4492 y(included\);)36 b(secondly)-8 b(,)37 b(most)e(exp)s(erimen)m(tal)
34387 g(pro)s(cedures)h(w)m(ould)g(include)f(the)g(energy)i(of)e(collinear)0
34388 4600 y(photons)e(in)m(to)f(the)h(e\013ectiv)m(e)h(energy)f(of)f(a)h
34389 (\014nal-state)e(lepton.)0 4847 y Fo(10.2.2)113 b(The)37
34390 b(c)m(hoice)g(of)g(energy)h(splitting)d(v)-6 b(ariable)0
34391 5019 y Fw(The)49 b(\014nal-state)e(radiation)f(mac)m(hinery)i(is)f(alw)
34392 m(a)m(ys)i(applied)e(in)g(the)h(c.m.)89 b(frame)48 b(of)f(the)h(hard)0
34393 5128 y(scattering,)39 b(from)d(whic)m(h)i(normally)d(emerges)j(a)f
34394 (pair)g(of)g(ev)m(olving)f(partons.)59 b(Occasionally)36
34395 b(there)0 5236 y(ma)m(y)g(b)s(e)h(one)g(ev)m(olving)f(parton)g
34396 (recoiling)f(against)g(a)i(non-ev)m(olving)e(one,)j(as)f(in)f(q)p
34397 3139 5183 52 4 v(q)f Fn(!)f Fw(g)q Fj(\015)5 b Fw(,)38
34398 b(where)0 5344 y(only)d(the)h(gluon)e(ev)m(olv)m(es)j(in)e(the)h
34399 (\014nal)e(state,)j(but)f(where)g(the)g(energy)h(of)e(the)h(photon)f
34400 (is)g(mo)s(difed)0 5453 y(b)m(y)d(the)f(branc)m(hing)h(activit)m(y)e
34401 (of)h(the)g(gluon.)42 b(\(With)30 b(only)h(one)g(ev)m(olving)g(parton)g
34402 (and)g(nothing)f(else,)0 5561 y(it)i(w)m(ould)i(not)f(b)s(e)h(p)s
34403 (ossible)f(to)g(conserv)m(e)i(energy)g(and)e(momen)m(tum)f(when)j(the)f
34404 (parton)f(is)g(assigned)0 5669 y(a)43 b(mass.\))74 b(Th)m(us,)47
34405 b(b)s(efore)c(the)g(ev)m(olution)f(is)g(p)s(erformed,)k(the)d(parton)f
34406 (pair)g(is)h(b)s(o)s(osted)f(to)h(their)1817 5953 y(194)p
34407 eop
34408 %%Page: 195 201
34409 195 200 bop 0 -18 a Fw(common)39 b(c.m.)67 b(frame,)42
34410 b(and)e(rotated)h(to)f(sit)g(along)f(the)i Fj(z)k Fw(axis.)67
34411 b(After)41 b(the)g(ev)m(olution,)g(the)g(full)0 90 y(parton)32
34412 b(sho)m(w)m(er)j(is)d(rotated)g(and)h(b)s(o)s(osted)f(bac)m(k)i(to)e
34413 (the)h(original)d(frame)h(of)h(the)h(parton)g(pair.)146
34414 198 y(The)42 b(in)m(terpretation)f(of)f(the)i(energy)g(and)f(momen)m
34415 (tum)f(splitting)f(v)-5 b(ariable)39 b Fj(z)46 b Fw(is)41
34416 b(not)g(unique,)0 307 y(and)27 b(in)f(fact)g(the)h(program)f(allo)m(ws)
34417 f(the)i(p)s(ossibilit)m(y)e(to)h(switc)m(h)i(b)s(et)m(w)m(een)h(four)d
34418 (di\013eren)m(t)h(alternativ)m(es)0 415 y([Ben87a],)35
34419 b(`lo)s(cal')d(and)j(`global')d Fj(z)39 b Fw(de\014nition)33
34420 b(com)m(bined)h(with)g(`constrained')h(or)f(`unconstrained')0
34421 523 y(ev)m(olution.)73 b(In)43 b(all)d(four)j(of)f(them,)j(the)e
34422 Fj(z)k Fw(v)-5 b(ariable)41 b(is)h(in)m(terpreted)i(as)f(an)f(energy)i
34423 (fraction,)g(i.e.)0 632 y Fj(E)72 647 y Fh(b)140 632
34424 y Fw(=)34 b Fj(z)t(E)371 647 y Fh(a)449 632 y Fw(and)i
34425 Fj(E)714 647 y Fh(c)783 632 y Fw(=)e(\(1)24 b Fn(\000)h
34426 Fj(z)t Fw(\))p Fj(E)1265 647 y Fh(a)1307 632 y Fw(.)54
34427 b(In)37 b(the)f(`lo)s(cal')e(c)m(hoice)j(of)e Fj(z)41
34428 b Fw(de\014nition,)36 b(energy)h(fractions)e(are)0 740
34429 y(de\014ned)g(in)d(the)h(rest)h(frame)e(of)h(the)g(grandmother,)g(i.e.)
34430 45 b(the)33 b(mother)g(of)f(parton)h Fj(a)p Fw(.)45 b(The)34
34431 b(preferred)0 848 y(c)m(hoice)41 b(is)g(the)h(`global')d(one,)k(in)d
34432 (whic)m(h)i(energies)g(are)f(alw)m(a)m(ys)g(ev)-5 b(aluated)41
34433 b(in)f(the)i(c.m.)69 b(frame)40 b(of)0 957 y(the)k(hard)g(scattering.)
34434 76 b(The)45 b(t)m(w)m(o)f(de\014nitions)f(agree)h(for)f(the)h(branc)m
34435 (hings)g(of)f(the)h(partons)g(that)0 1065 y(emerge)33
34436 b(directly)g(from)e(the)j(hard)f(scattering,)g(since)h(the)f(hard)g
34437 (scattering)g(itself)f(is)h(considered)h(to)0 1173 y(b)s(e)41
34438 b(the)h(`mother')f(of)g(the)h(\014rst)f(generation)g(of)g(partons.)69
34439 b(F)-8 b(or)41 b(instance,)j(in)c(Z)3029 1137 y Fl(0)3111
34440 1173 y Fn(!)i Fw(q)p 3304 1120 52 4 v(q)g(the)g(Z)3634
34441 1137 y Fl(0)3714 1173 y Fw(is)0 1282 y(considered)37
34442 b(the)f(mother)f(of)g(the)h(q)g(and)p 1556 1229 V 36
34443 w(q,)h(ev)m(en)g(though)f(the)g(branc)m(hing)f(is)g(not)h(handled)f(b)m
34444 (y)i(the)0 1390 y(parton-sho)m(w)m(ering)i(mac)m(hinery)-8
34445 b(.)64 b(The)40 b(`lo)s(cal')d(and)i(`global')e(de\014nitions)i(div)m
34446 (erge)h(for)e(subsequen)m(t)0 1498 y(branc)m(hings,)33
34447 b(where)h(the)f(`global')d(tends)k(to)e(allo)m(w)f(more)h(sho)m(w)m(er)
34448 i(ev)m(olution.)146 1607 y(In)f(a)f(branc)m(hing)g Fj(a)c
34449 Fn(!)f Fj(bc)33 b Fw(the)f(kinematically)e(allo)m(w)m(ed)h(range)h(of)g
34450 Fj(z)h Fw(=)27 b Fj(z)2840 1622 y Fh(a)2914 1607 y Fw(v)-5
34451 b(alues,)33 b Fj(z)3277 1622 y Fk(\000)3364 1607 y Fj(<)27
34452 b(z)33 b(<)27 b(z)3693 1622 y Fl(+)3752 1607 y Fw(,)0
34453 1715 y(is)32 b(giv)m(en)h(b)m(y)549 2032 y Fj(z)594 2047
34454 y Fk(\006)681 2032 y Fw(=)795 1964 y(1)p 795 2008 49
34455 4 v 795 2100 a(2)870 1857 y Fg(8)870 1932 y(<)870 2081
34456 y(:)944 2032 y Fw(1)22 b(+)1123 1964 y Fj(m)1208 1928
34457 y Fl(2)1208 1989 y Fh(b)1270 1964 y Fn(\000)g Fj(m)1454
34458 1928 y Fl(2)1454 1989 y Fh(c)p 1123 2008 372 4 v 1245
34459 2100 a Fj(m)1330 2071 y Fl(2)1330 2125 y Fh(a)1526 2032
34460 y Fn(\006)1636 1964 y(j)p Fo(p)1726 1979 y Fh(a)1768
34461 1964 y Fn(j)p 1636 2008 160 4 v 1659 2100 a Fj(E)1731
34462 2115 y Fh(a)1832 1849 y Fg(q)p 1915 1849 1156 4 v 101
34463 x Fw(\()p Fj(m)2038 1921 y Fl(2)2038 1975 y Fh(a)2102
34464 1950 y Fn(\000)g Fj(m)2286 1916 y Fl(2)2286 1975 y Fh(b)2348
34465 1950 y Fn(\000)h Fj(m)2533 1921 y Fl(2)2533 1975 y Fh(c)2573
34466 1950 y Fw(\))2611 1921 y Fl(2)2672 1950 y Fn(\000)g Fw(4)p
34467 Fj(m)2906 1916 y Fl(2)2906 1975 y Fh(b)2945 1950 y Fj(m)3030
34468 1921 y Fl(2)3030 1975 y Fh(c)p 1832 2008 1239 4 v 2387
34469 2100 a Fj(m)2472 2071 y Fl(2)2472 2125 y Fh(a)3080 1857
34470 y Fg(9)3080 1932 y(=)3080 2081 y(;)3203 2032 y Fj(:)327
34471 b Fw(\(134\))0 2333 y(With)40 b(`constrained')h(ev)m(olution,)g(these)h
34472 (b)s(ounds)f(are)f(resp)s(ected)i(in)e(the)h(ev)m(olution.)66
34473 b(The)41 b(cut-o\013)0 2442 y(masses)f Fj(m)413 2457
34474 y Fl(e\013)6 b Fh(;b)583 2442 y Fw(and)39 b Fj(m)864
34475 2457 y Fl(e\013)6 b Fh(;c)1035 2442 y Fw(are)39 b(used)h(to)e(de\014ne)
34476 i(the)f(maxim)m(um)e(allo)m(w)m(ed)h Fj(z)43 b Fw(range,)d(within)e
34477 (whic)m(h)0 2550 y Fj(z)45 2565 y Fh(a)126 2550 y Fw(is)h(c)m(hosen,)k
34478 (together)d(with)f(the)h Fj(m)1460 2565 y Fh(a)1541 2550
34479 y Fw(v)-5 b(alue.)64 b(In)40 b(the)g(subsequen)m(t)j(ev)m(olution)38
34480 b(of)h Fj(b)h Fw(and)g Fj(c)p Fw(,)h(only)0 2658 y(pairs)32
34481 b(of)f Fj(m)434 2673 y Fh(b)501 2658 y Fw(and)h Fj(m)775
34482 2673 y Fh(c)842 2658 y Fw(are)g(allo)m(w)m(ed)g(for)f(whic)m(h)i(the)f
34483 (already)g(selected)h Fj(z)2697 2673 y Fh(a)2771 2658
34484 y Fw(ful\014ls)e(the)i(constrain)m(ts)f(in)0 2767 y(eq.)h(\(134\).)146
34485 2875 y(F)-8 b(or)31 b(`unconstrained')h(ev)m(olution,)f(whic)m(h)h(is)f
34486 (the)g(preferred)i(alternativ)m(e,)e(one)g(ma)m(y)g(start)h(o\013)f(b)m
34487 (y)0 2983 y(assuming)h(the)h(daugh)m(ters)g(to)g(b)s(e)f(massless,)h
34488 (so)g(that)g(the)g(allo)m(w)m(ed)e Fj(z)38 b Fw(range)32
34489 b(is)1131 3260 y Fj(z)1176 3275 y Fk(\006)1263 3260 y
34490 Fw(=)1377 3193 y(1)p 1377 3237 49 4 v 1377 3328 a(2)1452
34491 3114 y Fg(\()1519 3260 y Fw(1)22 b Fn(\006)1699 3193
34492 y(j)p Fo(p)1789 3208 y Fh(a)1831 3193 y Fn(j)p 1699 3237
34493 160 4 v 1722 3328 a Fj(E)1794 3343 y Fh(a)1868 3260 y
34494 Fj(\022)s Fw(\()p Fj(m)2039 3275 y Fh(a)2104 3260 y Fn(\000)g
34495 Fj(m)2288 3275 y Fl(min)o Fh(;a)2467 3260 y Fw(\))2505
34496 3114 y Fg(\))2621 3260 y Fj(;)909 b Fw(\(135\))0 3542
34497 y(where)38 b Fj(\022)s Fw(\()p Fj(x)p Fw(\))f(is)f(the)h(step)g
34498 (function,)h Fj(\022)s Fw(\()p Fj(x)p Fw(\))d(=)f(1)i(for)g
34499 Fj(x)f(>)f Fw(0)j(and)f Fj(\022)s Fw(\()p Fj(x)p Fw(\))f(=)g(0)h(for)g
34500 Fj(x)f(<)f Fw(0.)56 b(The)37 b(deca)m(y)0 3676 y(kinematics)f(in)m(to)f
34501 (t)m(w)m(o)i(massless)g(four-v)m(ectors)h Fj(p)1858 3625
34502 y Fl(\(0\))1858 3701 y Fh(b)1988 3676 y Fw(and)f Fj(p)2231
34503 3640 y Fl(\(0\))2231 3701 y Fh(c)2362 3676 y Fw(is)f(no)m(w)h(straigh)m
34504 (tforw)m(ard.)55 b(Once)37 b Fj(m)3745 3691 y Fh(b)0
34505 3785 y Fw(and)g Fj(m)279 3800 y Fh(c)351 3785 y Fw(ha)m(v)m(e)h(b)s
34506 (een)f(found)g(from)f(the)h(subsequen)m(t)j(ev)m(olution,)d(sub)5
34507 b(ject)38 b(only)e(to)h(the)g(constrain)m(ts)0 3893 y
34508 Fj(m)85 3908 y Fh(b)148 3893 y Fj(<)28 b(z)297 3908 y
34509 Fh(a)339 3893 y Fj(E)411 3908 y Fh(a)452 3893 y Fw(,)33
34510 b Fj(m)597 3908 y Fh(c)660 3893 y Fj(<)28 b Fw(\(1)22
34511 b Fn(\000)h Fj(z)1018 3908 y Fh(a)1060 3893 y Fw(\))p
34512 Fj(E)1170 3908 y Fh(a)1244 3893 y Fw(and)33 b Fj(m)1519
34513 3908 y Fh(b)1576 3893 y Fw(+)22 b Fj(m)1759 3908 y Fh(c)1822
34514 3893 y Fj(<)28 b(m)2011 3908 y Fh(a)2053 3893 y Fw(,)33
34515 b(the)g(actual)f(massiv)m(e)h(four-v)m(ectors)h(ma)m(y)e(b)s(e)0
34516 4001 y(de\014ned)i(as)1274 4110 y Fj(p)1323 4125 y Fh(b;c)1436
34517 4110 y Fw(=)27 b Fj(p)1588 4059 y Fl(\(0\))1588 4135
34518 y Fh(b;c)1705 4110 y Fn(\006)22 b Fw(\()p Fj(r)1886 4125
34519 y Fh(c)1921 4110 y Fj(p)1970 4068 y Fl(\(0\))1970 4134
34520 y Fh(c)2086 4110 y Fn(\000)h Fj(r)2230 4125 y Fh(b)2264
34521 4110 y Fj(p)2313 4059 y Fl(\(0\))2313 4135 y Fh(b)2407
34522 4110 y Fw(\))33 b Fj(;)1052 b Fw(\(136\))0 4272 y(where)692
34523 4470 y Fj(r)736 4485 y Fh(b;c)848 4470 y Fw(=)962 4388
34524 y Fj(m)1047 4352 y Fl(2)1047 4413 y Fh(a)1111 4388 y
34525 Fn(\006)22 b Fw(\()p Fj(m)1333 4352 y Fl(2)1333 4413
34526 y Fh(c)1395 4388 y Fn(\000)h Fj(m)1580 4352 y Fl(2)1580
34527 4413 y Fh(b)1620 4388 y Fw(\))f Fn(\000)1779 4287 y Fg(q)p
34528 1862 4287 1156 4 v 101 x Fw(\()p Fj(m)1985 4359 y Fl(2)1985
34529 4413 y Fh(a)2049 4388 y Fn(\000)h Fj(m)2234 4354 y Fl(2)2234
34530 4413 y Fh(b)2296 4388 y Fn(\000)g Fj(m)2481 4359 y Fl(2)2481
34531 4413 y Fh(c)2520 4388 y Fw(\))2558 4359 y Fl(2)2620 4388
34532 y Fn(\000)g Fw(4)p Fj(m)2854 4354 y Fl(2)2854 4413 y
34533 Fh(b)2893 4388 y Fj(m)2978 4359 y Fl(2)2978 4413 y Fh(c)p
34534 962 4446 2057 4 v 1902 4538 a Fw(2)p Fj(m)2036 4509 y
34535 Fl(2)2036 4563 y Fh(a)3060 4470 y Fj(:)470 b Fw(\(137\))0
34536 4694 y(In)34 b(other)h(w)m(ords,)g(the)g(meaning)d(of)i
34537 Fj(z)1407 4709 y Fh(a)1483 4694 y Fw(is)f(somewhat)i(rein)m(terpreted)g
34538 Fi(p)-5 b(ost)36 b(facto)p Fw(.)47 b(Needless)36 b(to)e(sa)m(y)-8
34539 b(,)0 4802 y(the)40 b(`unconstrained')h(option)e(allo)m(ws)g(more)g
34540 (branc)m(hings)i(to)e(tak)m(e)i(place)f(than)g(the)g(`constrained')0
34541 4911 y(one.)j(In)32 b(the)g(follo)m(wing)d(discussion)j(w)m(e)g(will)d
34542 (only)i(refer)h(to)f(the)h(`global,)e(unconstrained')i
34543 Fj(z)k Fw(c)m(hoice.)0 5158 y Fo(10.2.3)113 b(First)36
34544 b(branc)m(hings)i(and)g(matrix-elemen)m(t)d(matc)m(hing)0
34545 5331 y Fw(The)43 b(\014nal-state)f(ev)m(olution)g(is)g(normally)e
34546 (started)j(from)e(some)i(initial)c(parton)j(pair)f(1)29
34547 b(+)g(2,)45 b(at)d(a)0 5439 y Fj(Q)77 5403 y Fl(2)77
34548 5464 y(max)246 5439 y Fw(scale)32 b(determined)h(b)m(y)h(delib)s
34549 (erations)d(already)h(discussed.)46 b(When)34 b(the)f(ev)m(olution)f
34550 (of)h(parton)0 5548 y(1)h(is)f(considered,)j(it)d(is)g(assumed)i(that)f
34551 (parton)g(2)g(is)f(massless,)i(so)f(that)g(the)h(parton)e(1)h(energy)h
34552 (and)0 5656 y(momen)m(tum)i(are)h(simple)f(functions)h(of)g(its)g(mass)
34553 g(\(and)h(of)f(the)g(c.m.)61 b(energy)39 b(of)f(the)h(pair,)g(whic)m(h)
34554 1817 5953 y(195)p eop
34555 %%Page: 196 202
34556 196 201 bop 0 -18 a Fw(is)42 b(\014xed\),)k(and)c(hence)i(also)d(the)i
34557 (allo)m(w)m(ed)e Fj(z)1685 -3 y Fl(1)1767 -18 y Fw(range)h(for)g
34558 (splittings)e(is)i(a)g(function)g(of)g(this)f(mass,)0
34559 90 y(eq.)g(\(135\).)63 b(Corresp)s(ondingly)-8 b(,)41
34560 b(parton)f(2)f(is)g(ev)m(olv)m(ed)i(under)g(the)f(assumption)f(that)g
34561 (parton)h(1)f(is)0 198 y(massless.)62 b(After)39 b(b)s(oth)g(partons)g
34562 (ha)m(v)m(e)h(b)s(een)g(assigned)f(masses,)i(their)d(correct)h
34563 (energies)h(ma)m(y)e(b)s(e)0 307 y(found,)i(whic)m(h)e(are)g(smaller)e
34564 (than)i(originally)d(assumed.)60 b(Therefore)39 b(the)g(allo)m(w)m(ed)e
34565 Fj(z)43 b Fw(ranges)38 b(ha)m(v)m(e)0 415 y(shrunk,)46
34566 b(and)c(it)e(ma)m(y)i(happ)s(en)h(that)e(a)h(branc)m(hing)g(has)g(b)s
34567 (een)g(assigned)h(a)e Fj(z)47 b Fw(v)-5 b(alue)41 b(outside)h(this)0
34568 523 y(range.)62 b(If)39 b(so,)h(the)f(parton)g(is)f(ev)m(olv)m(ed)i(do)
34569 m(wn)m(w)m(ards)h(in)d(mass)h(from)e(the)j(rejected)g(mass)e(v)-5
34570 b(alue;)42 b(if)0 632 y(b)s(oth)36 b Fj(z)42 b Fw(v)-5
34571 b(alues)36 b(are)h(rejected,)i(the)e(parton)g(with)f(largest)g(mass)h
34572 (is)f(ev)m(olv)m(ed)i(further.)56 b(It)37 b(ma)m(y)f(also)0
34573 740 y(happ)s(en)d(that)f(the)h(sum)f(of)g Fj(m)1125 755
34574 y Fl(1)1198 740 y Fw(and)g Fj(m)1472 755 y Fl(2)1544
34575 740 y Fw(is)g(larger)f(than)i(the)g(c.m.)43 b(energy)-8
34576 b(,)33 b(in)f(whic)m(h)h(case)g(the)g(one)0 848 y(with)28
34577 b(the)g(larger)f(mass)h(is)g(ev)m(olv)m(ed)h(do)m(wn)m(w)m(ards.)44
34578 b(The)29 b(c)m(hec)m(king)h(and)e(ev)m(olution)f(steps)j(are)e
34579 (iterated)0 957 y(un)m(til)j(an)i(acceptable)g(set)g(of)f
34580 Fj(m)1191 972 y Fl(1)1231 957 y Fw(,)g Fj(m)1375 972
34581 y Fl(2)1415 957 y Fw(,)h Fj(z)1520 972 y Fl(1)1592 957
34582 y Fw(and)g Fj(z)1827 972 y Fl(2)1899 957 y Fw(has)g(b)s(een)g(found.)
34583 146 1065 y(The)k(pro)s(cedure)f(is)f(an)g(extension)h(of)f(the)g(v)m
34584 (eto)h(algorithm,)d(where)k(an)e(initial)c(o)m(v)m(erestimation)0
34585 1173 y(of)g(the)g(allo)m(w)m(ed)f Fj(z)36 b Fw(range)31
34586 b(is)g(comp)s(ensated)g(b)m(y)h(rejection)f(of)g(some)f(branc)m(hings.)
34587 44 b(One)31 b(should)g(note,)0 1282 y(ho)m(w)m(ev)m(er,)f(that)c(the)h
34588 (v)m(eto)g(algorithm)c(is)j(not)g(strictly)g(applicable)f(for)g(the)i
34589 (coupled)g(ev)m(olution)e(in)h(t)m(w)m(o)0 1390 y(v)-5
34590 b(ariables)27 b(\()p Fj(m)523 1405 y Fl(1)591 1390 y
34591 Fw(and)i Fj(m)862 1405 y Fl(2)901 1390 y Fw(\),)g(and)g(that)f
34592 (therefore)h(some)f(arbitrariness)g(is)g(in)m(v)m(olv)m(ed.)42
34593 b(This)29 b(is)f(manifest)0 1498 y(in)h(the)h(c)m(hoice)h(of)e(whic)m
34594 (h)h(parton)g(will)e(b)s(e)i(ev)m(olv)m(ed)h(further)f(if)f(b)s(oth)g
34595 Fj(z)35 b Fw(v)-5 b(alues)30 b(are)g(unacceptable,)h(or)0
34596 1607 y(if)g(the)i(mass)g(sum)f(is)h(to)s(o)e(large.)146
34597 1715 y(F)-8 b(or)28 b(quark)i(and)f(lepton)f(pairs)g(whic)m(h)i(come)e
34598 (from)g(the)h(deca)m(y)h(of)f(a)f(colour-singlet)f(particle,)h(the)0
34599 1823 y(\014rst)38 b(branc)m(hings)f(are)h(matc)m(hed)f(to)g(the)h
34600 (explicit)e(\014rst-order)h(matrix)f(elemen)m(ts)i(for)e(gauge)h(b)s
34601 (oson)0 1932 y(deca)m(ys.)44 b(This)27 b(is)g(also)f(done,)j(e.g.)42
34602 b(in)27 b(H)1472 1896 y Fl(0)1539 1932 y Fw(deca)m(ys,)j(whic)m(h)e
34603 (has)g(spin)f(0)g(rather)g(than)h(1,)g(and)f(for)g(whic)m(h)0
34604 2040 y(in)32 b(principle)f(therefore)i(the)g(matrix)e(elemen)m(ts)i
34605 (are)g(sligh)m(tly)d(di\013eren)m(t.)146 2148 y(The)40
34606 b(matc)m(hing)e(is)g(based)i(on)e(a)h(mapping)e(of)h(the)i(parton-sho)m
34607 (w)m(er)f(v)-5 b(ariables)38 b(on)h(to)f(the)h(3-jet)0
34608 2257 y(phase)33 b(space.)45 b(T)-8 b(o)32 b(pro)s(duce)h(a)g(3-jet)e
34609 (ev)m(en)m(t,)k Fj(\015)1731 2221 y Fk(\003)1770 2257
34610 y Fj(=)p Fw(Z)1879 2221 y Fl(0)1946 2257 y Fn(!)27 b
34611 Fw(q\()p Fj(p)2211 2272 y Fl(1)2251 2257 y Fw(\))p 2289
34612 2204 52 4 v(q\()p Fj(p)2427 2272 y Fl(2)2466 2257 y Fw(\)g\()p
34613 Fj(p)2640 2272 y Fl(3)2679 2257 y Fw(\),)33 b(in)f(the)g(sho)m(w)m(er)i
34614 (language,)0 2365 y(one)j(will)e(pass)j(through)e(an)h(in)m(termediate)
34615 f(state,)i(where)h(either)d(the)i(q)f(or)g(the)p 3067
34616 2312 V 37 w(q)g(is)g(o\013)f(the)i(mass)0 2473 y(shell.)43
34617 b(If)32 b(the)h(former)f(is)g(the)h(case)g(then)1056
34618 2679 y Fj(m)1141 2638 y Fl(2)1264 2679 y Fw(=)83 b(\()p
34619 Fj(p)1510 2694 y Fl(1)1571 2679 y Fw(+)22 b Fj(p)1718
34620 2694 y Fl(3)1758 2679 y Fw(\))1796 2638 y Fl(2)1863 2679
34621 y Fw(=)27 b Fj(E)2044 2638 y Fl(2)2038 2704 y(cm)2133
34622 2679 y Fw(\(1)22 b Fn(\000)g Fj(x)2396 2694 y Fl(2)2436
34623 2679 y Fw(\))33 b Fj(;)1131 2873 y(z)88 b Fw(=)1549 2805
34624 y Fj(E)1621 2820 y Fl(1)p 1433 2849 344 4 v 1433 2941
34625 a Fj(E)1505 2956 y Fl(1)1567 2941 y Fw(+)22 b Fj(E)1737
34626 2956 y Fl(3)1814 2873 y Fw(=)2035 2805 y Fj(x)2090 2820
34627 y Fl(1)p 1927 2849 310 4 v 1927 2941 a Fj(x)1982 2956
34628 y Fl(1)2044 2941 y Fw(+)g Fj(x)2197 2956 y Fl(3)2275
34629 2873 y Fw(=)2474 2805 y Fj(x)2529 2820 y Fl(1)p 2388
34630 2849 266 4 v 2388 2941 a Fw(2)g Fn(\000)h Fj(x)2614 2956
34631 y Fl(2)2696 2873 y Fj(;)834 b Fw(\(138\))0 3136 y(where)39
34632 b Fj(x)342 3151 y Fh(i)408 3136 y Fw(=)e(2)p Fj(E)642
34633 3151 y Fh(i)670 3136 y Fj(=E)791 3151 y Fl(cm)885 3136
34634 y Fw(.)60 b(The)p 1178 3083 52 4 v 39 w(q)38 b(emission)f(case)i(is)e
34635 (obtained)h(with)g(1)e Fn($)h Fw(2.)59 b(The)39 b(parton-sho)m(w)m(er)0
34636 3245 y(splitting)32 b(expression)j(in)e(terms)h(of)f
34637 Fj(m)1443 3208 y Fl(2)1517 3245 y Fw(and)h Fj(z)t Fw(,)h(eq.)f
34638 (\(127\),)g(can)g(therefore)g(b)s(e)g(translated)g(in)m(to)f(the)0
34639 3353 y(follo)m(wing)d(di\013eren)m(tial)h(3-jet)h(rate:)354
34640 3547 y(1)p 348 3591 60 4 v 348 3683 a Fj(\033)501 3547
34641 y Fw(d)p Fj(\033)610 3562 y Fl(PS)p 444 3591 315 4 v
34642 444 3683 a Fw(d)p Fj(x)553 3698 y Fl(1)610 3683 y Fw(d)p
34643 Fj(x)719 3698 y Fl(2)853 3614 y Fw(=)1029 3547 y Fj(\013)1091
34644 3562 y Fl(s)p 1022 3591 108 4 v 1022 3683 a Fw(2)p Fj(\031)1156
34645 3614 y(C)1226 3629 y Fh(F)1628 3547 y Fw(1)p 1311 3591
34646 683 4 v 1311 3683 a(\(1)22 b Fn(\000)h Fj(x)1575 3698
34647 y Fl(1)1615 3683 y Fw(\)\(1)f Fn(\000)g Fj(x)1916 3698
34648 y Fl(2)1956 3683 y Fw(\))2026 3614 y Fn(\002)852 3890
34649 y(\002)1012 3744 y Fg(\()1089 3823 y Fw(1)g Fn(\000)h
34650 Fj(x)1315 3838 y Fl(1)p 1089 3867 266 4 v 1174 3959 a
34651 Fj(x)1229 3974 y Fl(3)1381 3744 y Fg( )1447 3890 y Fw(1)f(+)1616
34652 3769 y Fg(\022)1772 3823 y Fj(x)1827 3838 y Fl(1)p 1687
34653 3867 V 1687 3959 a Fw(2)g Fn(\000)g Fj(x)1912 3974 y
34654 Fl(2)1962 3769 y Fg(\023)2023 3792 y Fl(2)2063 3744 y
34655 Fg(!)2151 3890 y Fw(+)2259 3823 y(1)f Fn(\000)i Fj(x)2484
34656 3838 y Fl(2)p 2259 3867 V 2344 3959 a Fj(x)2399 3974
34657 y Fl(3)2551 3744 y Fg( )2616 3890 y Fw(1)f(+)2785 3769
34658 y Fg(\022)2942 3823 y Fj(x)2997 3838 y Fl(2)p 2856 3867
34659 V 2856 3959 a Fw(2)g Fn(\000)h Fj(x)3082 3974 y Fl(1)3132
34660 3769 y Fg(\023)3193 3792 y Fl(2)3232 3744 y Fg(!\))3414
34661 3890 y Fj(;)116 b Fw(\(139\))0 4165 y(where)37 b(the)f(\014rst)f(term)g
34662 (inside)g(the)h(curly)f(brac)m(k)m(et)i(comes)f(from)e(emission)g
34663 (o\013)h(the)h(quark)h(and)e(the)0 4273 y(second)41 b(term)f(from)e
34664 (emission)h(o\013)h(the)g(an)m(tiquark.)66 b(The)41 b(corresp)s(onding)
34665 f(expression)h(in)e(matrix-)0 4381 y(elemen)m(t)32 b(language)g(is)872
34666 4575 y(1)p 866 4620 60 4 v 866 4711 a Fj(\033)1006 4575
34667 y Fw(d)p Fj(\033)1115 4590 y Fl(ME)p 962 4620 315 4 v
34668 962 4711 a Fw(d)p Fj(x)1071 4726 y Fl(1)1128 4711 y Fw(d)p
34669 Fj(x)1237 4726 y Fl(2)1314 4643 y Fw(=)1435 4575 y Fj(\013)1497
34670 4590 y Fl(s)p 1428 4620 108 4 v 1428 4711 a Fw(2)p Fj(\031)1562
34671 4643 y(C)1632 4658 y Fh(F)2034 4575 y Fw(1)p 1717 4620
34672 683 4 v 1717 4711 a(\(1)22 b Fn(\000)h Fj(x)1981 4726
34673 y Fl(1)2020 4711 y Fw(\)\(1)f Fn(\000)h Fj(x)2322 4726
34674 y Fl(2)2362 4711 y Fw(\))2426 4547 y Fg(n)2482 4643 y
34675 Fj(x)2537 4602 y Fl(2)2537 4668 y(1)2599 4643 y Fw(+)f
34676 Fj(x)2752 4602 y Fl(2)2752 4668 y(2)2791 4547 y Fg(o)2896
34677 4643 y Fj(:)634 b Fw(\(140\))0 4911 y(With)36 b(the)h(kinematics)f(c)m
34678 (hoice)h(of)43 b Fm(Jetset)p Fw(,)37 b(the)g(matrix-elemen)m(t)d
34679 (expression)k(is)e(alw)m(a)m(ys)h(smaller)0 5019 y(than)h(the)h
34680 (parton-sho)m(w)m(er)g(one.)61 b(It)39 b(is)f(therefore)g(p)s(ossible)g
34681 (to)g(run)h(the)f(sho)m(w)m(er)i(as)f(usual,)g(but)g(to)0
34682 5128 y(imp)s(ose)f(an)i(extra)g(w)m(eigh)m(t)g(factor)f(d)p
34683 Fj(\033)1448 5143 y Fl(ME)1565 5128 y Fj(=)p Fw(d)p Fj(\033)1723
34684 5143 y Fl(PS)1815 5128 y Fw(,)j(whic)m(h)e(is)f(just)h(the)g(ratio)e
34685 (of)h(the)h(expressions)h(in)0 5236 y(curly)g(brac)m(k)m(ets.)70
34686 b(If)41 b(a)f(branc)m(hing)h(is)f(rejected,)k(the)e(ev)m(olution)e(is)g
34687 (con)m(tin)m(ued)h(from)f(the)h(rejected)0 5344 y Fj(Q)77
34688 5308 y Fl(2)154 5344 y Fw(v)-5 b(alue)37 b(on)m(w)m(ards)i(\(the)f(v)m
34689 (eto)g(algorithm\).)55 b(The)38 b(w)m(eigh)m(ting)f(pro)s(cedure)i(is)e
34690 (applied)f(to)h(the)h(\014rst)0 5453 y(branc)m(hing)30
34691 b(of)f(b)s(oth)h(the)g(q)g(and)g(the)p 1385 5400 52 4
34692 v 31 w(q,)h(in)e(eac)m(h)h(case)h(with)f(the)g(\(nominal\))d
34693 (assumption)i(that)h(none)0 5561 y(of)36 b(the)i(other)f(partons)g
34694 (branc)m(h)h(\(neither)e(the)i(sister)f(nor)g(the)g(daugh)m(ters\),)i
34695 (so)e(that)g(the)g(relations)0 5669 y(of)32 b(eq.)i(\(138\))d(are)i
34696 (applicable.)1817 5953 y(196)p eop
34697 %%Page: 197 203
34698 197 202 bop 146 -18 a Fw(If)32 b(a)f(photon)g(is)g(emitted)f(instead)h
34699 (of)g(a)g(gluon,)g(the)g(emission)f(rate)i(in)e(parton)h(sho)m(w)m(ers)
34700 j(is)c(giv)m(en)0 90 y(b)m(y)250 260 y(1)p 245 304 60
34701 4 v 245 396 a Fj(\033)398 260 y Fw(d)p Fj(\033)507 275
34702 y Fl(PS)p 341 304 315 4 v 341 396 a Fw(d)p Fj(x)450 411
34703 y Fl(1)506 396 y Fw(d)p Fj(x)615 411 y Fl(2)749 327 y
34704 Fw(=)919 260 y Fj(\013)981 275 y Fl(em)p 919 304 157
34705 4 v 943 396 a Fw(2)p Fj(\031)1429 260 y Fw(1)p 1112 304
34706 683 4 v 1112 396 a(\(1)22 b Fn(\000)g Fj(x)1375 411 y
34707 Fl(1)1415 396 y Fw(\)\(1)g Fn(\000)h Fj(x)1717 411 y
34708 Fl(2)1757 396 y Fw(\))1827 327 y Fn(\002)749 603 y(\002)909
34709 457 y Fg(\()976 603 y Fj(e)1021 562 y Fl(2)1021 628 y(q)1089
34710 536 y Fw(1)f Fn(\000)h Fj(x)1315 551 y Fl(1)p 1089 580
34711 266 4 v 1174 671 a Fj(x)1229 686 y Fl(3)1381 457 y Fg( )1447
34712 603 y Fw(1)f(+)1616 482 y Fg(\022)1772 536 y Fj(x)1827
34713 551 y Fl(1)p 1687 580 V 1687 671 a Fw(2)g Fn(\000)g Fj(x)1912
34714 686 y Fl(2)1962 482 y Fg(\023)2023 505 y Fl(2)2063 457
34715 y Fg(!)2151 603 y Fw(+)g Fj(e)2294 562 y Fl(2)p 2294
34716 589 42 4 v 2294 628 a(q)2362 536 y Fw(1)g Fn(\000)g Fj(x)2587
34717 551 y Fl(2)p 2362 580 266 4 v 2447 671 a Fj(x)2502 686
34718 y Fl(3)2654 457 y Fg( )2719 603 y Fw(1)g(+)2888 482 y
34719 Fg(\022)3045 536 y Fj(x)3100 551 y Fl(2)p 2959 580 V
34720 2959 671 a Fw(2)g Fn(\000)h Fj(x)3185 686 y Fl(1)3235
34721 482 y Fg(\023)3296 505 y Fl(2)3335 457 y Fg(!\))3517
34722 603 y Fj(;)13 b Fw(\(141\))0 859 y(and)33 b(in)e(matrix)h(elemen)m(ts)g
34723 (b)m(y)i([Gro81)o(])209 1047 y(1)p 204 1091 60 4 v 204
34724 1183 a Fj(\033)344 1047 y Fw(d)p Fj(\033)453 1062 y Fl(ME)p
34725 299 1091 315 4 v 299 1183 a Fw(d)p Fj(x)408 1198 y Fl(1)465
34726 1183 y Fw(d)p Fj(x)574 1198 y Fl(2)652 1115 y Fw(=)765
34727 1047 y Fj(\013)827 1062 y Fl(em)p 765 1091 157 4 v 790
34728 1183 a Fw(2)p Fj(\031)1275 1047 y Fw(1)p 958 1091 683
34729 4 v 958 1183 a(\(1)22 b Fn(\000)h Fj(x)1222 1198 y Fl(1)1262
34730 1183 y Fw(\)\(1)e Fn(\000)i Fj(x)1563 1198 y Fl(2)1603
34731 1183 y Fw(\))1667 968 y Fg(\()1734 993 y(\022)1795 1115
34732 y Fj(e)1840 1130 y Fl(q)1908 1047 y Fw(1)f Fn(\000)h
34733 Fj(x)2134 1062 y Fl(1)p 1908 1091 266 4 v 1994 1183 a
34734 Fj(x)2049 1198 y Fl(3)2206 1115 y Fn(\000)g Fj(e)p 2351
34735 1091 42 4 v 15 x Fl(q)2419 1047 y Fw(1)f Fn(\000)g Fj(x)2644
34736 1062 y Fl(2)p 2419 1091 266 4 v 2504 1183 a Fj(x)2559
34737 1198 y Fl(3)2694 993 y Fg(\023)2755 1009 y Fl(2)2811
34738 1018 y Fg(\020)2861 1115 y Fj(x)2916 1073 y Fl(2)2916
34739 1139 y(1)2978 1115 y Fw(+)g Fj(x)3131 1073 y Fl(2)3131
34740 1139 y(2)3171 1018 y Fg(\021)3220 968 y(\))3336 1115
34741 y Fj(:)194 b Fw(\(142\))0 1370 y(As)24 b(in)e(the)i(gluon)e(emission)g
34742 (case,)k(a)d(w)m(eigh)m(ting)g(factor)f(d)p Fj(\033)2142
34743 1385 y Fl(ME)2260 1370 y Fj(=)p Fw(d)p Fj(\033)2418 1385
34744 y Fl(PS)2533 1370 y Fw(can)h(therefore)h(b)s(e)f(applied)f(when)0
34745 1489 y(either)40 b(the)g(original)d(q)k(\()p Fj(`)p Fw(\))e(or)h(the)h
34746 (original)p 1729 1437 52 4 v 36 w(q)g(\()p 1859 1410
34747 41 4 v Fj(`)p Fw(\))f(emits)f(a)h(photon.)66 b(F)-8 b(or)39
34748 b(a)h(neutral)f(resonance,)0 1598 y(suc)m(h)c(as)g(Z)403
34749 1562 y Fl(0)442 1598 y Fw(,)f(where)h Fj(e)p 831 1574
34750 42 4 v 15 x Fl(q)903 1598 y Fw(=)30 b Fn(\000)p Fj(e)1131
34751 1613 y Fl(q)1173 1598 y Fw(,)35 b(the)f(ab)s(o)m(v)m(e)h(expressions)h
34752 (simplify)31 b(and)j(one)g(reco)m(v)m(ers)j(exactly)d(the)0
34753 1706 y(same)e(ratio)f(d)p Fj(\033)586 1721 y Fl(ME)704
34754 1706 y Fj(=)p Fw(d)p Fj(\033)862 1721 y Fl(PS)986 1706
34755 y Fw(as)i(for)f(gluon)f(emission.)146 1814 y(Compared)c(with)f(the)h
34756 (standard)g(matrix-elemen)m(t)d(treatmen)m(t,)k(a)e(few)h
34757 (di\013erences)g(remain.)41 b(The)0 1923 y(sho)m(w)m(er)24
34758 b(one)e(automatically)c(con)m(tains)k(the)g(Sudak)m(o)m(v)i(form)c
34759 (factor)i(and)f(an)h Fj(\013)2844 1938 y Fl(s)2898 1923
34760 y Fw(running)f(as)h(a)g(function)0 2031 y(of)40 b(the)g
34761 Fj(p)343 1995 y Fl(2)343 2056 y Fk(?)442 2031 y Fw(scale)g(of)g(the)g
34762 (branc)m(hing.)66 b(The)41 b(sho)m(w)m(er)h(also)d(allo)m(ws)g(all)f
34763 (partons)i(to)g(ev)m(olv)m(e)h(further,)0 2139 y(whic)m(h)36
34764 b(means)g(that)g(the)g(na)-11 b(\177)-38 b(\020v)m(e)36
34765 b(kinematics)f(assumed)i(for)e(a)h(comparison)e(with)i(matrix)e(elemen)
34766 m(ts)0 2248 y(is)i(mo)s(di\014ed)f(b)m(y)i(subsequen)m(t)i(branc)m
34767 (hings,)f(e.g.)54 b(that)36 b(the)h(energy)g(of)f(parton)g(1)g(is)g
34768 (reduced)h(when)0 2356 y(parton)c(2)g(is)f(assigned)i(a)f(mass.)45
34769 b(All)32 b(these)i(e\013ects)g(are)g(formally)c(of)j(higher)f(order,)i
34770 (and)f(so)h(do)f(not)0 2464 y(a\013ect)k(a)g(\014rst-order)g
34771 (comparison.)56 b(This)37 b(do)s(es)h(not)e(mean)h(that)g(the)g
34772 (corrections)g(need)h(b)s(e)g(small,)0 2573 y(but)e(exp)s(erimen)m(tal)
34773 f(results)h(are)g(encouraging:)50 b(the)36 b(approac)m(h)h(outlined)d
34774 (do)s(es)j(ev)m(ery)g(bit)e(as)i(go)s(o)s(d)0 2681 y(as)c(explicit)e
34775 (second-order)i(matrix)f(elemen)m(ts)g(for)g(the)h(description)g(of)f
34776 (4-jet)g(pro)s(duction.)0 2925 y Fo(10.2.4)113 b(Subsequen)m(t)38
34777 b(branc)m(hes)h(and)f(angular)g(ordering)0 3098 y Fw(The)i(sho)m(w)m
34778 (er)g(ev)m(olution)e(is)g(\(almost\))f(alw)m(a)m(ys)i(done)h(on)e(a)h
34779 (pair)e(of)i(partons,)h(so)f(that)g(energy)g(and)0 3206
34780 y(momen)m(tum)32 b(can)j(b)s(e)f(conserv)m(ed.)50 b(In)34
34781 b(the)g(\014rst)h(step)f(of)g(the)g(ev)m(olution,)g(the)g(t)m(w)m(o)h
34782 (original)30 b(partons)0 3314 y(th)m(us)k(undergo)g(branc)m(hings)g(1)
34783 29 b Fn(!)g Fw(3)22 b(+)h(4)33 b(and)g(2)c Fn(!)g Fw(5)22
34784 b(+)h(6.)46 b(As)33 b(describ)s(ed)i(ab)s(o)m(v)m(e,)f(the)g(allo)m(w)m
34785 (ed)f Fj(m)3713 3329 y Fl(1)3752 3314 y Fw(,)0 3423 y
34786 Fj(m)85 3438 y Fl(2)125 3423 y Fw(,)e Fj(z)228 3438 y
34787 Fl(1)299 3423 y Fw(and)g Fj(z)532 3438 y Fl(2)603 3423
34788 y Fw(ranges)g(are)g(coupled)h(b)m(y)g(kinematical)c(constrain)m(ts.)43
34789 b(In)32 b(the)f(second)i(step,)f(the)g(pair)0 3531 y(3)24
34790 b(+)g(4)36 b(is)f(ev)m(olv)m(ed)i(and,)g(separately)-8
34791 b(,)37 b(the)f(pair)f(5)24 b(+)g(6.)53 b(Considering)35
34792 b(only)g(the)i(former)d(\(the)i(latter)0 3665 y(is)c(trivially)d
34793 (obtained)i(b)m(y)i(symmetry\),)g(the)f(partons)h(th)m(us)g(ha)m(v)m(e)
34794 g(nominal)d(initial)e(energies)33 b Fj(E)3582 3614 y
34795 Fl(\(0\))3576 3687 y(3)3704 3665 y Fw(=)0 3799 y Fj(z)45
34796 3814 y Fl(1)85 3799 y Fj(E)157 3814 y Fl(1)220 3799 y
34797 Fw(and)24 b Fj(E)479 3748 y Fl(\(0\))473 3821 y(4)601
34798 3799 y Fw(=)k(\(1)t Fn(\000)t Fj(z)922 3814 y Fl(1)962
34799 3799 y Fw(\))p Fj(E)1072 3814 y Fl(1)1112 3799 y Fw(,)e(and)d(maxim)m
34800 (um)f(allo)m(w)m(ed)h(virtualities)e Fj(m)2697 3814 y
34801 Fl(max)p Fh(;)p Fl(3)2916 3799 y Fw(=)27 b(min)o(\()p
34802 Fj(m)3305 3814 y Fl(1)3345 3799 y Fj(;)17 b(E)3467 3748
34803 y Fl(\(0\))3461 3821 y(3)3561 3799 y Fw(\))23 b(and)0
34804 3936 y Fj(m)85 3951 y Fl(max)p Fh(;)p Fl(4)312 3936 y
34805 Fw(=)36 b(min)o(\()p Fj(m)710 3951 y Fl(1)749 3936 y
34806 Fj(;)17 b(E)871 3885 y Fl(\(0\))865 3958 y(4)965 3936
34807 y Fw(\).)59 b(Initially)34 b(partons)k(3)f(and)h(4)f(are)h(ev)m(olv)m
34808 (ed)h(separately)-8 b(,)39 b(giving)d(masses)0 4044 y
34809 Fj(m)85 4059 y Fl(3)163 4044 y Fw(and)j Fj(m)444 4059
34810 y Fl(4)522 4044 y Fw(and)g(splitting)d(v)-5 b(ariables)37
34811 b Fj(z)1564 4059 y Fl(3)1643 4044 y Fw(and)h Fj(z)1883
34812 4059 y Fl(4)1923 4044 y Fw(.)62 b(If)38 b Fj(m)2200 4059
34813 y Fl(3)2266 4044 y Fw(+)26 b Fj(m)2453 4059 y Fl(4)2531
34814 4044 y Fj(>)38 b(m)2730 4059 y Fl(1)2769 4044 y Fw(,)i(the)f(parton)g
34815 (of)f(3)g(and)h(4)0 4152 y(that)32 b(has)h(the)g(largest)f(ratio)f(of)i
34816 Fj(m)1298 4167 y Fh(i)1326 4152 y Fj(=m)1460 4167 y Fl(max)p
34817 Fh(;i)1672 4152 y Fw(is)f(ev)m(olv)m(ed)i(further.)44
34818 b(Thereafter)34 b(eq.)f(\(136\))f(is)g(used)i(to)0 4261
34819 y(construct)j(corrected)f(energies)g Fj(E)1301 4276 y
34820 Fl(3)1376 4261 y Fw(and)g Fj(E)1641 4276 y Fl(4)1680
34821 4261 y Fw(,)g(and)g(the)g Fj(z)k Fw(v)-5 b(alues)35 b(are)h(c)m(hec)m
34822 (k)m(ed)i(for)d(consistency)-8 b(.)54 b(If)0 4369 y(a)39
34823 b(branc)m(hing)f(has)i(to)e(b)s(e)h(rejected)h(b)s(ecause)g(the)g(c)m
34824 (hange)f(of)g(parton)f(energy)i(puts)g Fj(z)j Fw(outside)c(the)0
34825 4478 y(allo)m(w)m(ed)32 b(range,)g(the)h(parton)g(is)f(ev)m(olv)m(ed)i
34826 (further.)146 4586 y(This)g(pro)s(cedure)h(can)f(then)h(b)s(e)f
34827 (iterated)f(for)g(the)h(ev)m(olution)f(of)h(the)g(t)m(w)m(o)g(daugh)m
34828 (ters)h(of)f(parton)0 4694 y(3)29 b(and)g(for)g(the)g(t)m(w)m(o)h(of)f
34829 (parton)g(4,)g(etc.,)i(un)m(til)d(eac)m(h)i(parton)f(reac)m(hes)i(the)e
34830 (cut-o\013)g(mass)g Fj(m)3366 4709 y Fl(min)3488 4694
34831 y Fw(.)42 b(Then)0 4803 y(the)33 b(parton)f(is)g(put)h(on)g(the)g(mass)
34832 f(shell.)146 4911 y(The)51 b(mo)s(del,)h(as)e(describ)s(ed)g(so)g(far,)
34833 j(pro)s(duces)e(so-called)d(con)m(v)m(en)m(tional)i(sho)m(w)m(ers,)56
34834 b(wherein)0 5019 y(masses)42 b(are)g(strictly)f(decreasing)h(in)f(the)h
34835 (sho)m(w)m(er)h(ev)m(olution.)70 b(Emission)40 b(angles)h(are)h
34836 (decreasing)0 5128 y(only)30 b(in)f(an)h(a)m(v)m(erage)h(sense,)i(ho)m
34837 (w)m(ev)m(er,)g(whic)m(h)d(means)h(that)f(also)f(fairly)f(`late')i
34838 (branc)m(hings)g(can)h(giv)m(e)0 5236 y(partons)37 b(at)g(large)f
34839 (angles.)57 b(Theoretical)36 b(studies)i(b)s(ey)m(ond)h(the)e
34840 (leading-log)d(lev)m(el)j(sho)m(w)h(that)f(this)0 5344
34841 y(is)c(not)h(correct)h([Mue81],)g(but)f(that)g(destructiv)m(e)h(in)m
34842 (terference)g(e\013ects)h(are)e(large)e(in)i(the)g(region)f(of)0
34843 5453 y(non-ordered)k(emission)e(angles.)55 b(T)-8 b(o)37
34844 b(a)f(v)m(ery)i(go)s(o)s(d)e(\014rst)h(appro)m(ximation,)e(these)j
34845 (so-called)d(coher-)0 5561 y(ence)41 b(e\013ects)g(can)f(b)s(e)g(tak)m
34846 (en)h(in)m(to)e(accoun)m(t)h(in)f(parton)h(sho)m(w)m(er)h(programs)e(b)
34847 m(y)i(requiring)d(a)i(strict)0 5669 y(ordering)32 b(in)g(terms)g(of)g
34848 (decreasing)h(emission)f(angles.)1817 5953 y(197)p eop
34849 %%Page: 198 204
34850 198 203 bop 146 -18 a Fw(The)44 b(coherence)h(phenomenon)e(is)f(kno)m
34851 (wn)i(already)e(from)g(QED.)g(One)h(manifestation)e(is)h(the)0
34852 90 y(Ch)m(udak)m(o)m(v)34 b(e\013ect)e([Ch)m(u55)q(],)f(disco)m(v)m
34853 (ered)i(in)e(the)g(study)i(of)e(high-energy)g(cosmic)f
34854 Fj(\015)37 b Fw(ra)m(ys)32 b(impinging)0 198 y(on)48
34855 b(a)g(n)m(uclear)g(target.)89 b(If)48 b(a)g Fj(\015)k
34856 Fw(is)c(con)m(v)m(erted)i(in)m(to)d(a)h(highly)f(collinear)e(e)2926
34857 162 y Fl(+)2986 198 y Fw(e)3029 162 y Fk(\000)3136 198
34858 y Fw(pair)i(inside)g(the)0 307 y(em)m(ulsion,)39 b(the)g(e)656
34859 270 y Fl(+)754 307 y Fw(and)g(e)993 270 y Fk(\000)1090
34860 307 y Fw(in)f(their)g(tra)m(v)m(el)h(through)g(the)g(em)m(ulsion)e
34861 (ionize)g(atoms)h(and)h(thereb)m(y)0 415 y(pro)s(duce)d(blac)m(k)m
34862 (ening.)53 b(Ho)m(w)m(ev)m(er,)39 b(near)d(the)g(con)m(v)m(ersion)h(p)s
34863 (oin)m(t)e(the)h(blac)m(k)m(ening)f(is)h(small:)47 b(the)36
34864 b(e)3720 379 y Fl(+)0 523 y Fw(and)27 b(e)227 487 y Fk(\000)314
34865 523 y Fw(then)h(are)g(still)d(close)i(together,)i(so)e(that)g(an)h
34866 (atom)e(tra)m(v)m(ersed)j(b)m(y)g(the)e(pair)g(do)s(es)h(not)f(resolv)m
34867 (e)0 632 y(the)h(individual)c(c)m(harges)k(of)f(the)h(e)1266
34868 595 y Fl(+)1352 632 y Fw(and)f(the)h(e)1742 595 y Fk(\000)1801
34869 632 y Fw(,)g(but)g(only)f(feels)g(a)g(net)g(c)m(harge)h(close)f(to)g
34870 (zero.)42 b(Only)0 740 y(later,)d(when)g(the)g(e)739
34871 704 y Fl(+)837 740 y Fw(and)f(e)1075 704 y Fk(\000)1173
34872 740 y Fw(are)g(separated)h(b)m(y)g(more)f(than)g(a)g(t)m(ypical)g
34873 (atomic)e(radius,)k(are)e(the)0 848 y(t)m(w)m(o)33 b(able)f(to)g
34874 (ionize)g(indep)s(enden)m(tly)h(of)f(eac)m(h)i(other.)146
34875 957 y(The)g(situation)e(is)g(similar)e(in)i(QCD,)h(but)g(is)f(further)i
34876 (extended,)h(since)e(no)m(w)h(also)e(gluons)g(carry)0
34877 1065 y(colour.)45 b(F)-8 b(or)32 b(example,)h(in)g(a)g(branc)m(hing)g
34878 (q)1619 1080 y Fl(0)1688 1065 y Fn(!)c Fw(qg)35 b(the)e(q)h(and)f(g)i
34879 (share)f(a)f(colour{an)m(ticolour)d(pair,)0 1173 y(and)42
34880 b(therefore)h(the)f(q)g(and)g(g)h(cannot)f(emit)f(subsequen)m(t)k
34881 (gluons)c(incoheren)m(tly)-8 b(.)72 b(Again)41 b(the)h(net)0
34882 1282 y(e\013ect)32 b(is)g(to)f(reduce)i(the)f(amoun)m(t)f(of)g(soft)h
34883 (gluon)e(emission:)42 b(since)32 b(a)f(soft)h(gluon)f(\(emitted)f(at)i
34884 (large)0 1390 y(angles\))d(corresp)s(onds)j(to)d(a)h(large)e(\(transv)m
34885 (erse\))k(w)m(a)m(v)m(elength,)g(the)f(soft)e(gluon)g(is)h(unable)f(to)
34886 h(resolv)m(e)0 1498 y(the)46 b(separate)g(colour)e(c)m(harges)i(of)f
34887 (the)g(q)h(and)f(the)h(g)q(,)j(and)c(only)g(feels)g(the)g(net)h(c)m
34888 (harge)g(carried)0 1607 y(b)m(y)d(the)f(q)373 1622 y
34889 Fl(0)413 1607 y Fw(.)70 b(Suc)m(h)43 b(a)f(soft)f(gluon)g(g)1367
34890 1571 y Fk(0)1432 1607 y Fw(\(in)g(the)h(region)f Fj(\022)2117
34891 1622 y Fl(q)2154 1631 y Ff(0)2189 1622 y Fl(g)2225 1603
34892 y Fd(0)2295 1607 y Fj(>)i(\022)2459 1622 y Fl(qg)2537
34893 1607 y Fw(\))f(could)f(therefore)h(b)s(e)g(though)m(t)0
34894 1715 y(of)k(as)h(b)s(eing)g(emitted)e(b)m(y)j(the)f(q)1291
34895 1730 y Fl(0)1378 1715 y Fw(rather)g(than)g(b)m(y)h(the)f(q{g)h(system.)
34896 87 b(If)47 b(one)g(considers)h(only)0 1823 y(emission)29
34897 b(that)i(should)f(b)s(e)h(asso)s(ciated)f(with)g(the)h(q)g(or)f(the)h
34898 (g)q(,)g(to)f(a)h(go)s(o)s(d)e(appro)m(ximation,)g(there)i(is)0
34899 1932 y(a)e(complete)g(destructiv)m(e)i(in)m(terference)g(in)e(the)h
34900 (regions)f(of)g(non-decreasing)h(op)s(ening)e(angles,)i(while)0
34901 2040 y(partons)24 b(radiate)f(indep)s(enden)m(tly)h(of)f(eac)m(h)i
34902 (other)f(inside)f(the)h(regions)f(of)h(decreasing)g(op)s(ening)f
34903 (angles)0 2148 y(\()p Fj(\022)83 2163 y Fh(q)r(g)153
34904 2144 y Fd(0)215 2148 y Fj(<)36 b(\022)372 2163 y Fh(q)r(g)483
34905 2148 y Fw(and)i Fj(\022)723 2163 y Fh(g)r(g)795 2144
34906 y Fd(0)857 2148 y Fj(<)e(\022)1014 2163 y Fh(q)r(g)1088
34907 2148 y Fw(\),)i(once)g(azim)m(uthal)d(angles)i(are)g(a)m(v)m(eraged)i
34908 (o)m(v)m(er.)58 b(The)38 b(details)e(of)h(the)0 2257
34909 y(colour)31 b(in)m(terference)i(pattern)g(are)f(re\015ected)h(in)f
34910 (non-uniform)d(azim)m(uthal)h(emission)h(probabilities.)146
34911 2365 y(The)25 b(\014rst)f(branc)m(hings)h(of)e(the)h(sho)m(w)m(er)i
34912 (are)e(not)f(a\013ected)i(b)m(y)g(the)f(angular-ordering)d(requiremen)m
34913 (t)0 2473 y(|)k(since)g(the)h(ev)m(olution)e(is)h(p)s(erformed)f(in)h
34914 (the)g(c.m.)41 b(frame)24 b(of)h(the)g(original)d(parton)j(pair,)h
34915 (where)g(the)0 2582 y(original)k(op)s(ening)j(angle)g(is)g(180)1222
34916 2546 y Fk(\016)1261 2582 y Fw(,)h(an)m(y)g(angle)f(w)m(ould)g(an)m(yw)m
34917 (a)m(y)j(b)s(e)d(smaller)f(than)i(this)f(|)g(but)h(here)0
34918 2690 y(instead)g(the)f(matrix-elemen)m(t)f(matc)m(hing)g(pro)s(cedure)j
34919 (is)e(used,)i(where)g(applicable.)44 b(Subsequen)m(tly)-8
34920 b(,)0 2798 y(eac)m(h)33 b(op)s(ening)f(angle)g(is)g(compared)g(with)h
34921 (that)f(of)g(the)h(preceding)g(branc)m(hing)g(in)e(the)i(sho)m(w)m(er.)
34922 146 2907 y(F)-8 b(or)32 b(a)g(branc)m(hing)h Fj(a)28
34923 b Fn(!)f Fj(bc)33 b Fw(the)g(kinematical)d(appro)m(ximation)190
34924 3184 y Fj(\022)235 3199 y Fh(a)305 3184 y Fn(\031)420
34925 3116 y Fj(p)469 3131 y Fk(?)p Fh(b)p 420 3160 139 4 v
34926 436 3252 a Fj(E)508 3267 y Fh(b)590 3184 y Fw(+)698 3116
34927 y Fj(p)747 3131 y Fk(?)p Fh(c)p 698 3160 V 714 3252 a
34928 Fj(E)786 3267 y Fh(c)874 3184 y Fn(\031)980 3079 y Fg(q)p
34929 1063 3079 421 4 v 105 x Fj(z)1108 3199 y Fh(a)1150 3184
34930 y Fw(\(1)21 b Fn(\000)i Fj(z)1403 3199 y Fh(a)1445 3184
34931 y Fw(\))p Fj(m)1568 3199 y Fh(a)1626 3037 y Fg( )1778
34932 3116 y Fw(1)p 1702 3160 201 4 v 1702 3252 a Fj(z)1747
34933 3267 y Fh(a)1789 3252 y Fj(E)1861 3267 y Fh(a)1935 3184
34934 y Fw(+)2242 3116 y(1)p 2043 3160 448 4 v 2043 3252 a(\(1)f
34935 Fn(\000)g Fj(z)2296 3267 y Fh(a)2338 3252 y Fw(\))p Fj(E)2448
34936 3267 y Fh(a)2500 3037 y Fg(!)2594 3184 y Fw(=)2934 3116
34937 y(1)p 2707 3160 504 4 v 2707 3177 a Fg(q)p 2790 3177
34938 421 4 v 100 x Fj(z)2835 3292 y Fh(a)2877 3277 y Fw(\(1)g
34939 Fn(\000)h Fj(z)3131 3292 y Fh(a)3172 3277 y Fw(\))3230
34940 3116 y Fj(m)3315 3131 y Fh(a)p 3230 3160 127 4 v 3237
34941 3252 a Fj(E)3309 3267 y Fh(a)3557 3184 y Fw(\(143\))0
34942 3506 y(is)39 b(used)i(to)e(deriv)m(e)h(the)g(op)s(ening)f(angle)g
34943 (\(this)g(is)g(an)m(yw)m(a)m(y)j(to)d(the)h(same)f(lev)m(el)h(of)f
34944 (appro)m(ximation)0 3614 y(as)e(the)g(one)g(in)f(whic)m(h)h(angular)e
34945 (ordering)h(is)g(deriv)m(ed\).)57 b(With)36 b Fj(\022)2458
34946 3629 y Fh(b)2529 3614 y Fw(of)h(the)g Fj(b)g Fw(branc)m(hing)f
34947 (calculated)0 3722 y(similarly)-8 b(,)29 b(the)k(requiremen)m(t)g
34948 Fj(\022)1173 3737 y Fh(b)1235 3722 y Fj(<)28 b(\022)1384
34949 3737 y Fh(a)1458 3722 y Fw(can)33 b(b)s(e)g(reduced)h(to)1453
34950 3924 y Fj(z)1498 3939 y Fh(b)1532 3924 y Fw(\(1)22 b
34951 Fn(\000)h Fj(z)1786 3939 y Fh(b)1821 3924 y Fw(\))p 1453
34952 3969 406 4 v 1593 4060 a Fj(m)1678 4026 y Fl(2)1678 4085
34953 y Fh(b)1896 3992 y Fj(>)2010 3924 y Fw(1)f Fn(\000)g
34954 Fj(z)2225 3939 y Fh(a)p 2010 3969 258 4 v 2031 4060 a
34955 Fj(z)2076 4075 y Fh(a)2118 4060 y Fj(m)2203 4031 y Fl(2)2203
34956 4085 y Fh(a)2310 3992 y Fj(:)1220 b Fw(\(144\))146 4262
34957 y(Since)45 b(photons)g(do)g(not)g(ob)s(ey)g(angular)e(ordering,)k(the)e
34958 (c)m(hec)m(k)i(on)e(angular)e(ordering)h(is)h(not)0 4371
34959 y(p)s(erformed)35 b(when)i(a)e(photon)h(is)f(emitted.)52
34960 b(When)37 b(a)e(gluon)g(is)g(emitted)g(in)g(the)h(branc)m(hing)f(after)
34961 h(a)0 4479 y(photon,)k(its)f(emission)e(angle)h(is)g(restricted)h(b)m
34962 (y)h(that)e(of)h(the)g(preceding)g(QCD)f(branc)m(hing)h(in)f(the)0
34963 4587 y(sho)m(w)m(er,)c(i.e.)43 b(the)33 b(photon)g(emission)e(angle)h
34964 (do)s(es)h(not)f(en)m(ter.)0 4835 y Fo(10.2.5)113 b(Other)37
34965 b(\014nal-state)h(sho)m(w)m(er)f(asp)s(ects)0 5008 y
34966 Fw(The)i(electromagnetic)e(coupling)g(constan)m(t)j(for)e(the)h
34967 (emission)e(of)h(photons)h(on)f(the)h(mass)f(shell)g(is)0
34968 5116 y Fj(\013)62 5131 y Fl(em)194 5116 y Fw(=)f Fj(\013)369
34969 5131 y Fl(em)463 5116 y Fw(\()p Fj(Q)578 5080 y Fl(2)655
34970 5116 y Fw(=)g(0\))g Fn(\031)h Fw(1)p Fj(=)p Fw(137.)59
34971 b(F)-8 b(or)38 b(the)g(strong)h(coupling)e(constan)m(t)i(sev)m(eral)g
34972 (alternativ)m(es)e(are)0 5224 y(a)m(v)-5 b(ailable,)33
34973 b(the)j(default)e(b)s(eing)h(the)g(\014rst-order)g(expression)i
34974 Fj(\013)2361 5239 y Fl(s)2393 5224 y Fw(\()p Fj(p)2480
34975 5188 y Fl(2)2480 5249 y Fk(?)2539 5224 y Fw(\),)e(where)i
34976 Fj(p)2973 5188 y Fl(2)2973 5249 y Fk(?)3067 5224 y Fw(is)d(de\014ned)j
34977 (b)m(y)f(the)0 5333 y(appro)m(ximate)41 b(expression)i
34978 Fj(p)1101 5297 y Fl(2)1101 5357 y Fk(?)1204 5333 y Fn(\031)h
34979 Fj(z)t Fw(\(1)29 b Fn(\000)g Fj(z)t Fw(\))p Fj(m)1768
34980 5297 y Fl(2)1809 5333 y Fw(.)72 b(Studies)42 b(of)f
34981 (next-to-leading-order)f(corrections)0 5441 y(fa)m(v)m(our)33
34982 b(this)f(c)m(hoice)h([Ama80)o(].)44 b(The)33 b(other)g(alternativ)m(es)
34983 f(are)h(a)f(\014xed)i Fj(\013)2727 5456 y Fl(s)2791 5441
34984 y Fw(and)f(an)f Fj(\013)3178 5456 y Fl(s)3210 5441 y
34985 Fw(\()p Fj(m)3333 5405 y Fl(2)3373 5441 y Fw(\).)146
34986 5549 y(With)42 b(the)g(default)f(c)m(hoice)h(of)g Fj(p)1391
34987 5513 y Fl(2)1391 5574 y Fk(?)1491 5549 y Fw(as)g(scale)g(in)f
34988 Fj(\013)2048 5564 y Fl(s)2080 5549 y Fw(,)k(a)c(further)h(cut-o\013)g
34989 (is)f(in)m(tro)s(duced)h(on)g(the)0 5658 y(allo)m(w)m(ed)37
34990 b(phase)h(space)h(of)e(gluon)f(emission,)i(not)f(presen)m(t)j(in)c(the)
34991 i(options)f(with)g(\014xed)i Fj(\013)3396 5673 y Fl(s)3466
34992 5658 y Fw(or)e(with)1817 5953 y(198)p eop
34993 %%Page: 199 205
34994 199 204 bop 0 -18 a Fj(\013)62 -3 y Fl(s)94 -18 y Fw(\()p
34995 Fj(m)217 -55 y Fl(2)257 -18 y Fw(\),)40 b(nor)e(in)g(the)h(QED)f(sho)m
34996 (w)m(er.)63 b(A)39 b(minim)m(um)c(requiremen)m(t,)40
34997 b(to)e(ensure)i(a)f(w)m(ell-de\014ned)f Fj(\013)3720
34998 -3 y Fl(s)3752 -18 y Fw(,)0 90 y(is)47 b(that)h Fj(p)389
34999 105 y Fk(?)448 90 y Fj(=)p Fw(\003)53 b Fj(>)g Fw(1)p
35000 Fj(:)p Fw(1,)f(but)c(additionally)d Fm(Jetset)i Fw(requires)i(that)e
35001 Fj(p)2736 105 y Fk(?)2849 90 y Fj(>)53 b(Q)3055 105 y
35002 Fl(0)3095 90 y Fj(=)p Fw(2.)89 b(This)47 b(latter)0 198
35003 y(requiremen)m(t)38 b(is)f(not)g(a)g(necessit)m(y)-8
35004 b(,)40 b(but)e(it)e(mak)m(es)i(sense)h(when)g Fj(p)2494
35005 213 y Fk(?)2590 198 y Fw(is)e(tak)m(en)h(to)f(b)s(e)h(the)f(preferred)0
35006 307 y(scale)47 b(of)g(the)h(branc)m(hing)g(pro)s(cess,)k(rather)c(than)
35007 f(e.g.)88 b Fj(m)p Fw(.)h(It)47 b(reduces)j(the)e(allo)m(w)m(ed)e
35008 Fj(z)52 b Fw(range,)0 415 y(compared)41 b(with)g(the)g(purely)g
35009 (kinematical)e(constrain)m(ts.)69 b(Since)42 b(the)f
35010 Fj(p)2750 430 y Fk(?)2850 415 y Fw(cut)h(is)e(not)h(presen)m(t)i(for)0
35011 523 y(photon)38 b(emission,)g(the)g(relativ)m(e)f(ratio)g(of)g(photon)h
35012 (to)f(gluon)g(emission)g(o\013)g(a)h(quark)h(is)e(enhanced)0
35013 632 y(at)g(small)e(virtualities)g(compared)j(with)f(na)-11
35014 b(\177)-38 b(\020v)m(e)37 b(exp)s(ectations;)k(in)c(actual)g(fact)g
35015 (this)g(enhancemen)m(t)0 740 y(is)g(largely)g(comp)s(ensated)h(b)m(y)h
35016 (the)g(running)e(of)h Fj(\013)1876 755 y Fl(s)1908 740
35017 y Fw(,)h(whic)m(h)g(acts)f(in)f(the)i(opp)s(osite)e(direction.)59
35018 b(The)0 848 y(main)37 b(consequence,)44 b(ho)m(w)m(ev)m(er,)e(is)d
35019 (that)f(the)h(gluon)f(energy)i(sp)s(ectrum)f(is)g(p)s(eak)m(ed)h(at)e
35020 (around)h Fj(Q)3740 863 y Fl(0)0 957 y Fw(and)d(rapidly)e(v)-5
35021 b(anishes)36 b(for)f(energies)h(b)s(elo)m(w)g(that,)g(whilst)e(the)i
35022 (photon)g(sp)s(ectum)g(extends)i(all)33 b(the)0 1065
35023 y(w)m(a)m(y)h(to)e(zero)h(energy)-8 b(.)146 1173 y(Previously)42
35024 b(it)e(w)m(as)i(said)f(that)g(azim)m(uthal)e(angles)i(in)f(branc)m
35025 (hings)i(are)f(c)m(hosen)h(isotropically)-8 b(.)0 1282
35026 y(In)40 b(fact,)g(as)g(an)f(option,)h(it)e(is)h(p)s(ossible)f(to)h
35027 (include)g(some)g(e\013ects)h(of)f(gluon)f(p)s(olarization,)g(whic)m(h)
35028 0 1390 y(correlate)c(the)h(pro)s(duction)f(and)g(the)h(deca)m(y)h
35029 (planes)e(of)g(a)g(gluon,)g(suc)m(h)i(that)f(a)f(g)e
35030 Fn(!)e Fw(gg)36 b(branc)m(hing)0 1498 y(tends)31 b(to)e(tak)m(e)h
35031 (place)f(in)g(the)h(pro)s(duction)e(plane)h(of)g(the)h(gluon,)f(while)g
35032 (a)g(deca)m(y)i(out)e(of)g(the)h(plane)f(is)0 1607 y(fa)m(v)m(oured)35
35033 b(for)e(g)e Fn(!)e Fw(q)p 807 1554 52 4 v(q)q(.)47 b(The)35
35034 b(form)m(ulae)d(are)i(giv)m(en)g(e.g.)47 b(in)33 b(ref.)47
35035 b([W)-8 b(eb86)q(],)34 b(as)g(simple)e(functions)i(of)0
35036 1715 y(the)28 b Fj(z)j Fw(v)-5 b(alue)27 b(at)g(the)g(v)m(ertex)i
35037 (where)f(the)g(gluon)e(is)h(pro)s(duced)h(and)f(of)f(the)i
35038 Fj(z)k Fw(v)-5 b(alue)26 b(when)j(it)d(branc)m(hes.)0
35039 1823 y(Also)34 b(coherence)j(phenomena)d(lead)g(to)h(non-isotropic)e
35040 (azim)m(uthal)f(distributions)h([W)-8 b(eb86)q(],)35
35041 b(whic)m(h)0 1932 y(are)j(included)f(as)h(a)g(further)g(option.)59
35042 b(In)38 b(either)f(case)i(the)f Fj(')g Fw(azim)m(uthal)e(v)-5
35043 b(ariable)36 b(is)i(\014rst)g(c)m(hosen)0 2040 y(isotropically)-8
35044 b(,)27 b(then)j(the)g(w)m(eigh)m(t)g(factor)f(due)i(to)e(p)s
35045 (olarization)d(times)j(coherence)i(is)e(ev)-5 b(aluated,)30
35046 b(and)0 2148 y(the)i Fj(')g Fw(v)-5 b(alue)31 b(is)h(accepted)h(or)f
35047 (rejected.)44 b(In)33 b(case)f(of)g(rejection,)g(a)f(new)i
35048 Fj(')f Fw(is)f(generated,)i(and)f(so)g(on.)146 2257 y(While)38
35049 b(the)h(rule)f(is)f(to)i(ha)m(v)m(e)g(an)g(initial)34
35050 b(pair)k(of)g(partons,)i(there)f(are)g(a)f(few)h(examples)f(where)0
35051 2365 y(one)e(or)f(three)h(partons)f(ha)m(v)m(e)i(to)e(b)s(e)h(allo)m(w)
35052 m(ed)e(to)h(sho)m(w)m(er.)54 b(If)35 b(only)g(one)h(parton)f(is)g(giv)m
35053 (en,)h(it)f(is)g(not)0 2473 y(p)s(ossible)c(to)g(conserv)m(e)j(b)s(oth)
35054 e(energy)g(and)g(momen)m(tum.)42 b(The)32 b(c)m(hoice)g(has)g(b)s(een)h
35055 (made)e(to)g(conserv)m(e)0 2582 y(energy)41 b(and)f(jet)g(direction,)h
35056 (but)f(the)h(momen)m(tum)d(v)m(ector)k(is)d(scaled)h(do)m(wn)h(when)g
35057 (the)g(radiating)0 2690 y(parton)36 b(acquires)h(a)f(mass.)55
35058 b(The)37 b(`rest)h(frame)d(of)h(the)h(system',)h(used)g(e.g.)55
35059 b(in)36 b(the)g Fj(z)42 b Fw(de\014nition,)36 b(is)0
35060 2798 y(tak)m(en)e(to)e(b)s(e)h(whatev)m(er)h(frame)e(the)h(jet)f(is)g
35061 (giv)m(en)h(in.)146 2907 y(In)c(\007)f Fn(!)f Fw(ggg)i(deca)m(ys)h(and)
35062 e(other)h(primary)e(three-parton)h(con\014gurations,)h(one)g(is)f(left)
35063 f(with)h(the)0 3015 y(issue)e(ho)m(w)f(the)h(energy)g(sharing)e(v)-5
35064 b(ariables)24 b Fj(x)1673 3030 y Fl(1)1737 3015 y Fw(and)i
35065 Fj(x)1975 3030 y Fl(2)2039 3015 y Fw(from)e(the)i(massless)f(matrix)e
35066 (elemen)m(ts)j(should)0 3123 y(b)s(e)39 b(rein)m(terpreted)h(for)e(a)g
35067 (massiv)m(e)h(three-parton)g(con\014guration.)61 b(W)-8
35068 b(e)39 b(ha)m(v)m(e)h(made)e(the)h(arbitrary)0 3232 y(c)m(hoice)32
35069 b(of)f(preserving)h(the)f(energy)i(of)e(eac)m(h)h(parton,)f(whic)m(h)h
35070 (means)g(that)f(relativ)m(e)f(angles)h(b)s(et)m(w)m(een)0
35071 3340 y(the)c(original)d(partons)j(is)g(c)m(hanged.)42
35072 b(Mass)28 b(triplets)e(outside)h(the)g(allo)m(w)m(ed)f(phase)i(space)g
35073 (are)f(rejected)0 3448 y(and)33 b(the)g(ev)m(olution)e(con)m(tin)m
35074 (ued.)146 3557 y(Finally)-8 b(,)33 b(it)g(should)i(b)s(e)g(noted)g
35075 (that)f(t)m(w)m(o)h(to)m(y)h(sho)m(w)m(er)g(mo)s(dels)d(are)i(included)
35076 f(as)h(options.)49 b(One)0 3665 y(is)32 b(a)h(scalar)f(gluon)g(mo)s
35077 (del,)f(in)h(whic)m(h)h(the)g(q)c Fn(!)e Fw(qg)35 b(branc)m(hing)d(k)m
35078 (ernel)i(is)e(replaced)h(b)m(y)h Fj(P)3365 3680 y Fl(q)p
35079 Fk(!)p Fl(qg)3550 3665 y Fw(\()p Fj(z)t Fw(\))29 b(=)10
35080 3744 y Fl(2)p 10 3760 36 4 v 10 3818 a(3)55 3783 y Fw(\(1)r
35081 Fn(\000)r Fj(z)t Fw(\).)41 b(The)24 b(couplings)d(of)h(the)i(gluon,)f
35082 (g)29 b Fn(!)e Fw(gg)d(and)f(g)28 b Fn(!)g Fw(q)p 2294
35083 3731 52 4 v(q)q(,)c(ha)m(v)m(e)g(b)s(een)g(left)e(as)g(free)h
35084 (parameters,)0 3892 y(since)34 b(they)g(dep)s(end)g(on)f(the)h(colour)e
35085 (structure)i(assumed)g(in)f(the)g(mo)s(del.)44 b(The)34
35086 b(sp)s(ectra)g(are)f(\015at)g(in)0 4000 y Fj(z)42 b Fw(for)37
35087 b(a)h(spin)f(0)g(gluon.)58 b(Higher-order)37 b(couplings)f(of)h(the)h
35088 (t)m(yp)s(e)h(g)e Fn(!)f Fw(ggg)i(could)f(w)m(ell)g(con)m(tribute)0
35089 4108 y(signi\014can)m(tly)-8 b(,)26 b(but)h(are)f(not)h(included.)41
35090 b(The)27 b(second)h(to)m(y)e(mo)s(del)f(is)h(an)g(Ab)s(elian)f(v)m
35091 (ector)i(one.)42 b(In)27 b(this)0 4217 y(option)32 b(g)f
35092 Fn(!)e Fw(gg)34 b(branc)m(hings)g(are)f(absen)m(t,)i(and)f(g)c
35093 Fn(!)f Fw(q)p 2085 4164 V(q)34 b(ones)h(enhanced.)47
35094 b(More)34 b(precisely)-8 b(,)34 b(in)f(the)0 4325 y(splitting)i(k)m
35095 (ernels,)k(eq.)57 b(\(128\),)37 b(the)g(Casimir)e(factors)i(are)g(c)m
35096 (hanged)h(as)f(follo)m(ws:)51 b Fj(C)3184 4340 y Fh(F)3277
35097 4325 y Fw(=)35 b(4)p Fj(=)p Fw(3)f Fn(!)h Fw(1,)0 4433
35098 y Fj(N)78 4448 y Fh(C)181 4433 y Fw(=)43 b(3)g Fn(!)g
35099 Fw(0,)g Fj(T)711 4448 y Fh(R)813 4433 y Fw(=)g Fj(n)990
35100 4448 y Fh(f)1035 4433 y Fj(=)p Fw(2)g Fn(!)g Fw(3)p Fj(n)1426
35101 4448 y Fh(f)1471 4433 y Fw(.)71 b(When)43 b(using)e(either)h(of)f
35102 (these)i(options,)h(one)e(should)f(b)s(e)0 4542 y(a)m(w)m(are)36
35103 b(that)e(also)g(a)g(n)m(um)m(b)s(er)h(of)g(other)f(comp)s(onen)m(ts)i
35104 (in)e(principle)f(should)h(b)s(e)h(c)m(hanged,)i(from)c(the)0
35105 4650 y(running)c(of)f Fj(\013)529 4665 y Fl(s)590 4650
35106 y Fw(to)h(the)h(whole)f(concept)h(of)e(fragmen)m(tation.)41
35107 b(One)29 b(should)g(therefore)h(not)f(tak)m(e)h(them)0
35108 4758 y(to)s(o)i(seriously)-8 b(.)0 5032 y Fp(10.3)136
35109 b(Initial-State)47 b(Sho)l(w)l(ers)0 5205 y Fw(The)26
35110 b(initial-state)c(sho)m(w)m(e)k(algorithm)c(in)j Fm(Pythia)g
35111 Fw(is)g(not)g(quite)g(as)g(sophisticated)g(as)h(the)f(\014nal-state)0
35112 5313 y(one.)71 b(This)42 b(is)g(partly)f(b)s(ecause)i(initial-state)38
35113 b(radiation)i(is)h(less)h(w)m(ell)f(understo)s(o)s(d)h(theoretically)-8
35114 b(,)0 5422 y(partly)46 b(b)s(ecause)i(the)f(programming)c(task)k(is)f
35115 (more)g(complicated)f(and)h(am)m(biguous.)85 b(Still,)47
35116 b(the)0 5530 y(program)39 b(at)i(disp)s(osal)e(is)i(kno)m(wn)h(to)e(do)
35117 h(a)g(reasonably)g(go)s(o)s(d)e(job)i(of)f(describing)h(existing)f
35118 (data,)0 5638 y(suc)m(h)34 b(as)f(Z)400 5602 y Fl(0)471
35119 5638 y Fw(pro)s(duction)f(prop)s(erties)h(at)f(hadron)h(colliders)d
35120 ([Sj\177)-49 b(o85].)1817 5953 y(199)p eop
35121 %%Page: 200 206
35122 200 205 bop 0 -18 a Fo(10.3.1)113 b(The)37 b(sho)m(w)m(er)h(structure)0
35123 154 y Fw(A)43 b(fast)f(hadron)h(ma)m(y)f(b)s(e)h(view)m(ed)h(as)e(a)h
35124 (cloud)f(of)g(quasireal)g(partons.)74 b(Similarly)38
35125 b(a)k(fast)h(lepton)0 263 y(ma)m(y)30 b(b)s(e)h(view)m(ed)h(as)e
35126 (surrounded)i(b)m(y)g(a)e(cloud)g(of)g(photons)h(and)g(partons;)g(in)f
35127 (the)h(program)e(the)i(t)m(w)m(o)0 371 y(situations)36
35128 b(are)h(on)g(an)g(equal)f(fo)s(oting,)h(but)g(here)h(w)m(e)g(c)m(ho)s
35129 (ose)g(the)f(hadron)g(as)g(example.)56 b(A)m(t)38 b(eac)m(h)0
35130 479 y(instan)m(t,)g(an)f(individual)d(parton)j(can)g(initiate)d(a)j
35131 (virtual)e(cascade,)k(branc)m(hing)e(in)m(to)f(a)h(n)m(um)m(b)s(er)g
35132 (of)0 588 y(partons.)73 b(This)42 b(cascade)i(can)e(b)s(e)h(describ)s
35133 (ed)g(in)e(terms)h(of)g(a)g(tree-lik)m(e)g(structure,)k(comp)s(osed)c
35134 (of)0 696 y(man)m(y)c(subsequen)m(t)k(branc)m(hings)c
35135 Fj(a)g Fn(!)f Fj(bc)p Fw(.)60 b(Eac)m(h)40 b(branc)m(hing)e(in)m(v)m
35136 (olv)m(es)h(some)f(relativ)m(e)f(transv)m(erse)0 804
35137 y(momen)m(tum)25 b(b)s(et)m(w)m(een)j(the)f(t)m(w)m(o)g(daugh)m(ters.)
35138 43 b(In)26 b(a)g(language)g(where)h(four-momen)m(tum)d(is)i(conserv)m
35139 (ed)0 913 y(at)j(eac)m(h)g(v)m(ertex,)j(this)c(implies)f(that)i(at)f
35140 (least)h(one)g(of)f(the)h Fj(b)h Fw(and)f Fj(c)g Fw(partons)g(m)m(ust)g
35141 (ha)m(v)m(e)h(a)f(space-lik)m(e)0 1021 y(virtualit)m(y)-8
35142 b(,)34 b Fj(m)538 985 y Fl(2)609 1021 y Fj(<)e Fw(0.)50
35143 b(Since)35 b(the)g(partons)h(are)f(not)f(on)h(the)g(mass)g(shell,)g
35144 (the)h(cascade)g(only)e(liv)m(es)h(a)0 1129 y(\014nite)28
35145 b(time)e(b)s(efore)i(reassem)m(bling,)g(with)g(those)g(parts)g(of)g
35146 (the)g(cascade)h(that)f(are)f(most)h(o\013)f(the)i(mass)0
35147 1238 y(shell)j(living)e(the)j(shortest)h(time.)146 1346
35148 y(A)i(hard)g(scattering,)h(e.g.)54 b(in)35 b(deep)i(inelastic)d
35149 (leptopro)s(duction,)i(will)e(prob)s(e)i(the)g(hadron)g(at)g(a)0
35150 1454 y(giv)m(en)g(instan)m(t.)53 b(The)37 b(prob)s(e,)g(i.e.)52
35151 b(the)37 b(virtual)d(photon)i(in)f(the)h(leptopro)s(duction)f(case,)i
35152 (is)f(able)f(to)0 1563 y(resolv)m(e)d(\015uctuations)f(in)g(the)h
35153 (hadron)f(up)h(to)f(the)h Fj(Q)1960 1527 y Fl(2)2031
35154 1563 y Fw(scale)f(of)g(the)h(hard)f(scattering.)43 b(Th)m(us)33
35155 b(prob)s(es)0 1671 y(at)h(di\013eren)m(t)h Fj(Q)585 1635
35156 y Fl(2)660 1671 y Fw(v)-5 b(alues)34 b(will)f(seem)i(to)f(see)i
35157 (di\013eren)m(t)f(parton)g(comp)s(ositions)d(in)i(the)i(hadron.)50
35158 b(The)0 1779 y(c)m(hange)33 b(in)f(parton)h(comp)s(osition)d(with)i
35159 Fj(t)c Fw(=)f(ln\()p Fj(Q)1881 1743 y Fl(2)1920 1779
35160 y Fj(=)p Fw(\003)2037 1743 y Fl(2)2076 1779 y Fw(\))33
35161 b(is)f(giv)m(en)h(b)m(y)g(the)g(ev)m(olution)f(equations)903
35162 1967 y(d)p Fj(f)1005 1982 y Fh(b)1039 1967 y Fw(\()p
35163 Fj(x;)17 b(t)p Fw(\))p 903 2012 347 4 v 1031 2103 a(d)p
35164 Fj(t)1287 2035 y Fw(=)1391 1952 y Fg(X)1407 2126 y Fh(a;c)1527
35165 1918 y Fg(Z)1637 1967 y Fw(d)p Fj(x)1746 1931 y Fk(0)p
35166 1637 2012 133 4 v 1664 2103 a Fj(x)1719 2074 y Fk(0)1796
35167 2035 y Fj(f)1844 2050 y Fh(a)1886 2035 y Fw(\()p Fj(x)1979
35168 1994 y Fk(0)2003 2035 y Fj(;)g(t)p Fw(\))2146 1967 y
35169 Fj(\013)2208 1982 y Fh(abc)p 2146 2012 165 4 v 2175 2103
35170 a Fw(2)p Fj(\031)2337 2035 y(P)2400 2050 y Fh(a)p Fk(!)p
35171 Fh(bc)2590 1914 y Fg(\022)2672 1967 y Fj(x)p 2661 2012
35172 79 4 v 2661 2103 a(x)2716 2074 y Fk(0)2749 1914 y Fg(\023)2860
35173 2035 y Fj(:)670 b Fw(\(145\))0 2311 y(Here)24 b(the)f
35174 Fj(f)427 2326 y Fh(i)456 2311 y Fw(\()p Fj(x;)17 b(t)p
35175 Fw(\))23 b(are)g(the)h(parton-distribution)c(functions,)25
35176 b(expressing)g(the)e(probabilit)m(y)e(of)i(\014nding)0
35177 2419 y(a)h(parton)f Fj(i)h Fw(carrying)f(a)h(fraction)e
35178 Fj(x)j Fw(of)e(the)h(total)e(momen)m(tum)h(if)f(the)j(hadron)e(is)h
35179 (prob)s(ed)g(at)f(virtualit)m(y)0 2527 y Fj(Q)77 2491
35180 y Fl(2)117 2527 y Fw(.)52 b(The)37 b Fj(P)463 2542 y
35181 Fh(a)p Fk(!)p Fh(bc)636 2527 y Fw(\()p Fj(z)t Fw(\))f(are)g(giv)m(en)g
35182 (in)e(eq.)j(\(128\).)52 b(As)36 b(b)s(efore,)h Fj(\013)2330
35183 2542 y Fh(abc)2468 2527 y Fw(is)e Fj(\013)2631 2542 y
35184 Fl(s)2698 2527 y Fw(for)h(QCD)f(sho)m(w)m(er)i(and)f
35185 Fj(\013)3685 2542 y Fl(em)0 2636 y Fw(for)c(QED)g(ones.)146
35186 2744 y(Eq.)41 b(\(145\))d(is)i(closely)f(related)g(to)g(eq.)h(\(127\):)
35187 57 b(d)p Fn(P)2066 2759 y Fh(a)2148 2744 y Fw(describ)s(es)40
35188 b(the)g(probabilit)m(y)e(that)h(a)g(giv)m(en)0 2852 y(parton)25
35189 b Fj(a)g Fw(will)e(branc)m(h)k(\(in)m(to)d(partons)i
35190 Fj(b)f Fw(and)h Fj(c)p Fw(\),)g(d)p Fj(f)1934 2867 y
35191 Fh(b)1994 2852 y Fw(the)g(in\015ux)f(of)g(partons)h Fj(b)f
35192 Fw(from)f(the)i(branc)m(hings)0 2961 y(of)31 b(partons)h
35193 Fj(a)p Fw(.)43 b(\(The)32 b(expression)h(d)p Fj(f)1391
35194 2976 y Fh(b)1457 2961 y Fw(in)e(principle)e(also)i(should)g(con)m(tain)
35195 g(a)g(loss)g(term)g(for)g(partons)0 3069 y Fj(b)47 b
35196 Fw(that)f(branc)m(h;)55 b(this)46 b(term)g(is)g(imp)s(ortan)m(t)f(for)h
35197 (parton-distribution)e(ev)m(olution,)49 b(but)e(do)s(es)g(not)0
35198 3177 y(app)s(ear)35 b(explicitly)e(in)h(what)i(w)m(e)g(shall)d(b)s(e)j
35199 (using)e(eq.)52 b(\(145\))34 b(for.\))50 b(The)36 b(absolute)f(form)f
35200 (of)g(hadron)0 3286 y(parton)44 b(distributions)f(cannot)i(b)s(e)g
35201 (predicted)g(in)f(p)s(erturbativ)m(e)g(QCD,)h(but)g(rather)f(ha)m(v)m
35202 (e)i(to)e(b)s(e)0 3394 y(parametrized)c(at)h(some)g Fj(Q)1057
35203 3409 y Fl(0)1137 3394 y Fw(scale,)j(with)c(the)i Fj(Q)1893
35204 3358 y Fl(2)1973 3394 y Fw(dep)s(endence)i(thereafter)d(giv)m(en)g(b)m
35205 (y)h(eq.)g(\(145\).)0 3502 y(Av)-5 b(ailable)36 b(parametrizations)h
35206 (are)i(discussed)h(in)e(section)h(7.1.)62 b(The)40 b(lepton)e(and)h
35207 (photon)g(parton)0 3611 y(distributions)30 b(inside)g(a)h(lepton)f(can)
35208 h(b)s(e)h(fully)d(predicted,)j(but)f(here)h(for)f(simplicit)m(y)d(are)j
35209 (treated)h(on)0 3719 y(equal)g(fo)s(oting)f(with)h(hadron)h(parton)f
35210 (distributions.)146 3827 y(If)42 b(a)f(hard)h(in)m(teraction)f
35211 (scatters)h(a)g(parton)f(out)h(of)f(the)h(incoming)d(hadron,)44
35212 b(the)e(`coherence')0 3936 y([Gri83)n(])c(of)e(the)i(cascade)h(is)e
35213 (brok)m(en:)54 b(the)38 b(partons)f(can)h(no)f(longer)f(reassem)m(ble)i
35214 (completely)e(bac)m(k)0 4044 y(to)h(the)h(cascade-initiating)c(parton.)
35215 57 b(In)38 b(this)f(semiclassical)e(picture,)j(the)g(partons)f(on)g
35216 (the)h(`main)0 4152 y(c)m(hain')31 b(of)g(consecutiv)m(e)i(branc)m
35217 (hings)e(that)g(lead)g(directly)f(from)g(the)i(initiating)27
35218 b(parton)k(to)g(the)g(scat-)0 4261 y(tered)f(parton)f(can)h(no)g
35219 (longer)e(reassem)m(ble,)j(whereas)g(\015uctuations)e(on)h(the)g(`side)
35220 f(branc)m(hes')j(to)d(this)0 4369 y(c)m(hain)k(ma)m(y)g(still)f(disapp)
35221 s(ear.)45 b(A)34 b(con)m(v)m(enien)m(t)h(description)e(is)g(obtained)g
35222 (b)m(y)h(assigning)e(a)i(space-lik)m(e)0 4478 y(virtualit)m(y)h(to)h
35223 (the)g(partons)h(on)f(the)h(main)e(c)m(hain,)i(in)e(suc)m(h)j(a)e(w)m
35224 (a)m(y)i(that)e(the)h(partons)f(on)h(the)f(side)0 4586
35225 y(branc)m(hes)29 b(ma)m(y)f(still)d(b)s(e)i(on)h(the)g(mass)f(shell.)41
35226 b(Since)28 b(the)g(momen)m(tum)e(transfer)i(of)f(the)h(hard)f(pro)s
35227 (cess)0 4694 y(can)36 b(put)h(the)g(scattered)g(parton)f(on)g(the)h
35228 (mass)f(shell)f(\(or)h(ev)m(en)i(giv)m(e)e(it)f(a)h(time-lik)m(e)e
35229 (virtualit)m(y)-8 b(,)35 b(so)0 4803 y(that)h(it)g(can)g(initiate)e(a)j
35230 (\014nal-state)e(sho)m(w)m(er\),)k(one)e(is)f(then)h(guaran)m(teed)h
35231 (that)e(no)g(partons)h(ha)m(v)m(e)h(a)0 4911 y(space-lik)m(e)g
35232 (virtualit)m(y)f(in)h(the)h(\014nal)e(state.)62 b(\(In)39
35233 b(real)e(life,)i(con\014nemen)m(t)g(e\013ects)h(ob)m(viously)e(imply)0
35234 5019 y(that)31 b(partons)h(need)h(not)e(b)s(e)h(quite)f(on)g(the)h
35235 (mass)g(shell.\))42 b(If)31 b(no)h(hard)f(scattering)h(had)f(tak)m(en)i
35236 (place,)0 5128 y(the)39 b(virtualit)m(y)e(of)i(the)g(space-lik)m(e)g
35237 (parton)f(line)g(w)m(ould)g(still)f(force)i(the)g(complete)f(cascade)i
35238 (to)f(re-)0 5236 y(assem)m(ble.)45 b(Since)34 b(the)f(virtualit)m(y)f
35239 (of)g(the)i(cascade)g(prob)s(ed)g(is)e(carried)h(b)m(y)h(one)g(single)e
35240 (parton,)h(it)f(is)0 5344 y(p)s(ossible)27 b(to)h(equate)g(the)h
35241 (space-lik)m(e)e(virtualit)m(y)f(of)i(this)f(parton)h(with)f(the)h
35242 Fj(Q)2866 5308 y Fl(2)2934 5344 y Fw(scale)g(of)f(the)h(cascade,)0
35243 5453 y(to)g(b)s(e)h(used)h(e.g.)42 b(in)28 b(the)h(ev)m(olution)e
35244 (equations.)43 b(F)-8 b(urther,)29 b(coherence)h(e\013ects)g([Gri83)n
35245 (,)f(Bas83])f(guar-)0 5561 y(an)m(tee)38 b(that)g(the)g
35246 Fj(Q)729 5525 y Fl(2)806 5561 y Fw(v)-5 b(aules)37 b(of)h(the)g
35247 (partons)f(along)g(the)h(main)d(c)m(hain)j(are)f(strictly)g(ordered,)j
35248 (with)0 5669 y(the)33 b(largest)f Fj(Q)560 5633 y Fl(2)632
35249 5669 y Fw(v)-5 b(alues)33 b(close)f(to)g(the)h(hard)g(scattering.)1817
35250 5953 y(200)p eop
35251 %%Page: 201 207
35252 201 206 bop 146 -18 a Fw(In)40 b(recen)m(t)h(y)m(ears,)i(further)d
35253 (coherence)i(e\013ects)f(ha)m(v)m(e)g(b)s(een)f(studied)g([Cia87)o(],)i
35254 (with)d(particular)0 90 y(implications)h(for)k(the)g(structure)h(of)f
35255 (parton)g(sho)m(w)m(ers)i(at)d(small)f Fj(x)p Fw(.)78
35256 b(None)45 b(of)e(these)i(additional)0 198 y(complications)f(are)j
35257 (implemen)m(ted)e(in)h(the)h(curren)m(t)h(algorithm,)f(with)f(the)h
35258 (exception)g(of)g(a)f(few)0 307 y(rather)33 b(primitiv)m(e)d(options)i
35259 (that)g(do)h(not)f(address)i(the)f(full)e(complexit)m(y)h(of)g(the)h
35260 (problem.)146 415 y(Instead)38 b(of)e(ha)m(ving)g(a)g(tree-lik)m(e)f
35261 (structure,)k(where)e(all)e(legs)h(are)g(treated)h(demo)s(cratically)-8
35262 b(,)34 b(the)0 523 y(cascade)h(is)e(reduced)i(to)f(a)f(single)g
35263 (sequence)j(of)d(branc)m(hings)h Fj(a)c Fn(!)f Fj(bc)p
35264 Fw(,)35 b(where)f(the)h Fj(a)e Fw(and)h Fj(b)g Fw(partons)0
35265 632 y(are)k(on)h(the)g(main)e(c)m(hain)h(of)g(space-lik)m(e)g
35266 (virtualit)m(y)-8 b(,)39 b Fj(m)2102 595 y Fl(2)2102
35267 656 y Fh(a;b)2231 632 y Fj(<)f Fw(0,)h(while)f(the)h
35268 Fj(c)f Fw(partons)h(are)g(on)f(the)0 752 y(mass)g(shell)f(and)h(do)f
35269 (not)h(branc)m(h.)60 b(\(Later)37 b(w)m(e)i(will)d(include)h(the)h(p)s
35270 (ossibilit)m(y)e(that)h(the)i Fj(c)e Fw(partons)0 860
35271 y(ma)m(y)d(ha)m(v)m(e)h(p)s(ositiv)m(e)e(virtualities,)f
35272 Fj(m)1406 824 y Fl(2)1406 885 y Fh(c)1476 860 y Fj(>)d
35273 Fw(0,)34 b(whic)m(h)h(leads)f(to)f(the)h(app)s(earance)h(of)e(time-lik)
35274 m(e)f(`\014nal-)0 969 y(state')24 b(parton)g(sho)m(w)m(ers)i(on)e(the)g
35275 (side)g(branc)m(hes.\))42 b(This)24 b(truncation)f(of)g(the)i(cascade)g
35276 (is)e(only)g(p)s(ossible)0 1077 y(when)28 b(it)e(is)g(kno)m(wn)j(whic)m
35277 (h)e(parton)g(actually)e(partak)m(es)k(in)d(the)h(hard)g(scattering:)40
35278 b(of)27 b(all)e(the)i(p)s(ossible)0 1186 y(cascades)34
35279 b(that)f(exist)g(virtually)d(in)i(the)h(incoming)d(hadron,)j(the)g
35280 (hard)g(scattering)f(will)e(select)j(one.)146 1294 y(T)-8
35281 b(o)32 b(obtain)g(the)g(correct)h Fj(Q)1162 1258 y Fl(2)1234
35282 1294 y Fw(ev)m(olution)e(of)g(parton)h(distributions,)f(e.g.,)i(it)e
35283 (is)h(essen)m(tial)g(that)g(all)0 1402 y(branc)m(hes)38
35284 b(of)e(the)g(cascade)i(b)s(e)e(treated)h(demo)s(cratically)-8
35285 b(.)52 b(In)36 b(Mon)m(te)h(Carlo)f(sim)m(ulation)d(of)j(space-)0
35286 1511 y(lik)m(e)28 b(sho)m(w)m(ers)j(this)e(is)g(a)f(ma)5
35287 b(jor)28 b(problem.)41 b(If)29 b(indeed)g(the)h(ev)m(olution)e(of)g
35288 (the)i(complete)e(cascade)i(is)f(to)0 1619 y(b)s(e)g(follo)m(w)m(ed)f
35289 (from)f(some)i(small)d Fj(Q)1297 1583 y Fl(2)1297 1644
35290 y(0)1365 1619 y Fw(up)j(to)f(the)i Fj(Q)1859 1583 y Fl(2)1927
35291 1619 y Fw(scale)e(of)h(the)g(hard)f(scattering,)i(it)d(is)i(no)f(p)s
35292 (ossible)0 1727 y(at)j(the)g(same)g(time)f(to)h(handle)g(kinematics)f
35293 (exactly)-8 b(,)32 b(since)g(the)f(virtualit)m(y)f(of)g(the)i(v)-5
35294 b(arious)30 b(partons)0 1836 y(cannot)35 b(b)s(e)g(found)g(un)m(til)e
35295 (after)i(the)g(hard)g(scattering)f(has)i(b)s(een)f(selected.)51
35296 b(This)35 b(kind)g(of)f(`forw)m(ard)0 1944 y(ev)m(olution')24
35297 b(sc)m(heme)i(therefore)g(requires)g(a)f(n)m(um)m(b)s(er)g(of)f(extra)i
35298 (tric)m(ks)f(to)g(b)s(e)g(made)g(to)f(w)m(ork.)42 b(F)-8
35299 b(urther,)0 2052 y(in)31 b(this)g(approac)m(h)h(it)f(is)g(not)h(kno)m
35300 (wn)h(e.g.)43 b(what)32 b(the)k(^)-53 b Fj(s)32 b Fw(of)f(the)h(hard)g
35301 (scattering)f(subsystem)j(will)29 b(b)s(e)0 2161 y(un)m(til)g(the)i(ev)
35302 m(olution)e(has)i(b)s(een)g(carried)f(out,)g(whic)m(h)h(means)g(that)f
35303 (the)g(initial-state)d(ev)m(olution)i(and)0 2269 y(the)k(hard)g
35304 (scattering)f(ha)m(v)m(e)i(to)e(b)s(e)h(selected)h(join)m(tly)-8
35305 b(,)31 b(a)h(not)g(so)h(trivial)d(task.)146 2377 y(Instead)24
35306 b(w)m(e)g(use)g(the)g(`bac)m(kw)m(ards)h(ev)m(olution')d(approac)m(h)h
35307 ([Sj\177)-49 b(o85],)25 b(in)d(whic)m(h)h(the)h(hard)f(scattering)0
35308 2486 y(is)41 b(\014rst)g(selected,)j(and)d(the)h(parton)f(sho)m(w)m(er)
35309 h(that)f(preceded)i(it)d(is)h(subsequen)m(tly)i(reconstructed.)0
35310 2594 y(This)37 b(reconstruction)g(is)g(started)g(at)g(the)g(hard)g(in)m
35311 (teraction,)g(at)f(the)h Fj(Q)2732 2558 y Fl(2)2732 2619
35312 y(max)2905 2594 y Fw(scale,)h(and)f(thereafter)0 2702
35313 y(step)k(b)m(y)h(step)f(one)g(mo)m(v)m(es)h(`bac)m(kw)m(ards')g(in)e
35314 (`time',)i(to)m(w)m(ards)f(smaller)e Fj(Q)2823 2666 y
35315 Fl(2)2862 2702 y Fw(,)k(all)c(the)h(w)m(a)m(y)i(bac)m(k)g(to)0
35316 2811 y(the)36 b(parton-sho)m(w)m(er)g(initiator)c(at)j(the)g(cut-o\013)
35317 g(scale)g Fj(Q)2104 2775 y Fl(2)2104 2835 y(0)2144 2811
35318 y Fw(.)51 b(This)36 b(pro)s(cedure)g(is)f(p)s(ossible)f(if)g(ev)m(olv)m
35319 (ed)0 2919 y(parton)43 b(distributions)f(are)h(used)i(to)e(select)h
35320 (the)g(hard)f(scattering,)j(since)e(the)g Fj(f)3105 2934
35321 y Fh(i)3133 2919 y Fw(\()p Fj(x;)17 b(Q)3347 2883 y Fl(2)3387
35322 2919 y Fw(\))43 b(con)m(tain)0 3027 y(the)c(inclusiv)m(e)f(summation)f
35323 (of)h(all)e(initial-state)f(parton-sho)m(w)m(er)40 b(histories)e(that)g
35324 (can)h(lead)f(to)g(the)0 3136 y(app)s(earance)f(of)e(an)h(in)m
35325 (teracting)g(parton)f Fj(i)i Fw(at)f(the)g(hard)g(scale.)55
35326 b(What)36 b(remains)f(is)h(th)m(us)h(to)f(select)0 3244
35327 y(an)c(exclusiv)m(e)i(history)f(from)e(the)i(set)g(of)f(inclusiv)m(e)g
35328 (ones.)0 3492 y Fo(10.3.2)113 b(Longitudinal)36 b(ev)m(olution)0
35329 3664 y Fw(The)43 b(ev)m(olution)f(equations,)j(eq.)e(\(145\),)i
35330 (express)f(that,)h(during)d(a)g(small)e(increase)j(d)p
35331 Fj(t)g Fw(there)g(is)f(a)0 3773 y(probabilit)m(y)f(for)h(parton)g
35332 Fj(a)h Fw(with)f(momen)m(tum)f(fraction)h Fj(x)2266 3737
35333 y Fk(0)2332 3773 y Fw(to)h(b)s(ecome)f(resolv)m(ed)i(in)m(to)e(parton)g
35334 Fj(b)0 3881 y Fw(at)c Fj(x)f Fw(=)g Fj(z)t(x)434 3845
35335 y Fk(0)496 3881 y Fw(and)h(another)g(parton)g Fj(c)g
35336 Fw(at)f Fj(x)1633 3845 y Fk(0)1683 3881 y Fn(\000)26
35337 b Fj(x)38 b Fw(=)e(\(1)26 b Fn(\000)g Fj(z)t Fw(\))p
35338 Fj(x)2349 3845 y Fk(0)2374 3881 y Fw(.)59 b(Corresp)s(ondingly)-8
35339 b(,)39 b(in)e(bac)m(kw)m(ards)0 3989 y(ev)m(olution,)28
35340 b(during)f(a)h(decrease)h(d)p Fj(t)f Fw(a)g(parton)g
35341 Fj(b)g Fw(ma)m(y)f(b)s(e)h(`unresolv)m(ed')i(in)m(to)d(parton)g
35342 Fj(a)p Fw(.)42 b(The)29 b(relativ)m(e)0 4098 y(probabilit)m(y)23
35343 b(d)p Fn(P)614 4113 y Fh(b)674 4098 y Fw(for)i(this)g(to)g(happ)s(en)h
35344 (is)f(giv)m(en)g(b)m(y)i(the)e(ratio)f(d)p Fj(f)2403
35345 4113 y Fh(b)2438 4098 y Fj(=f)2535 4113 y Fh(b)2569 4098
35346 y Fw(.)41 b(Using)25 b(eq.)h(\(145\))e(one)i(obtains)649
35347 4373 y(d)p Fn(P)772 4388 y Fh(b)835 4373 y Fw(=)948 4305
35348 y(d)p Fj(f)1050 4320 y Fh(b)1085 4305 y Fw(\()p Fj(x;)17
35349 b(t)p Fw(\))p 948 4350 347 4 v 975 4441 a Fj(f)1023 4456
35350 y Fh(b)1058 4441 y Fw(\()p Fj(x;)g(t)p Fw(\))1333 4373
35351 y(=)27 b Fn(j)p Fw(d)p Fj(t)p Fn(j)1614 4290 y Fg(X)1630
35352 4464 y Fh(a;c)1751 4256 y Fg(Z)1860 4305 y Fw(d)p Fj(x)1969
35353 4269 y Fk(0)p 1860 4350 133 4 v 1888 4441 a Fj(x)1943
35354 4412 y Fk(0)2030 4305 y Fj(f)2078 4320 y Fh(a)2120 4305
35355 y Fw(\()p Fj(x)2213 4269 y Fk(0)2236 4305 y Fj(;)17 b(t)p
35356 Fw(\))p 2030 4350 324 4 v 2045 4441 a Fj(f)2093 4456
35357 y Fh(b)2128 4441 y Fw(\()p Fj(x;)g(t)p Fw(\))2390 4305
35358 y Fj(\013)2452 4320 y Fh(abc)p 2390 4350 165 4 v 2418
35359 4441 a Fw(2)p Fj(\031)2581 4373 y(P)2644 4388 y Fh(a)p
35360 Fk(!)p Fh(bc)2833 4252 y Fg(\022)2916 4305 y Fj(x)p 2904
35361 4350 79 4 v 2904 4441 a(x)2959 4412 y Fk(0)2993 4252
35362 y Fg(\023)3103 4373 y Fj(:)427 b Fw(\(146\))0 4662 y(Summing)30
35363 b(up)i(the)g(cum)m(ulativ)m(e)g(e\013ect)g(of)g(man)m(y)f(small)f(c)m
35364 (hanges)j(d)p Fj(t)p Fw(,)g(the)f(probabilit)m(y)e(for)h(no)h(radi-)0
35365 4771 y(ation)f(exp)s(onen)m(tiates.)45 b(Therefore)34
35366 b(one)e(ma)m(y)h(de\014ne)h(a)e(form)f(factor)310 5048
35367 y Fj(S)370 5063 y Fh(b)404 5048 y Fw(\()p Fj(x;)17 b(t)576
35368 5063 y Fl(max)712 5048 y Fj(;)g(t)p Fw(\))83 b(=)g(exp)1236
35369 4901 y Fg(\()1303 5048 y Fn(\000)1397 4930 y Fg(Z)1480
35370 4957 y Fh(t)1505 4965 y Ff(max)1443 5119 y Fh(t)1643
35371 5048 y Fw(d)p Fj(t)1732 5006 y Fk(0)1789 4965 y Fg(X)1805
35372 5139 y Fh(a;c)1925 4930 y Fg(Z)2035 4980 y Fw(d)p Fj(x)2144
35373 4944 y Fk(0)p 2035 5024 133 4 v 2062 5116 a Fj(x)2117
35374 5087 y Fk(0)2204 4980 y Fj(f)2252 4995 y Fh(a)2294 4980
35375 y Fw(\()p Fj(x)2387 4944 y Fk(0)2411 4980 y Fj(;)17 b(t)2490
35376 4944 y Fk(0)2513 4980 y Fw(\))p 2204 5024 347 4 v 2219
35377 5116 a Fj(f)2267 5131 y Fh(b)2302 5116 y Fw(\()p Fj(x;)g(t)2474
35378 5087 y Fk(0)2498 5116 y Fw(\))2588 4980 y Fj(\013)2650
35379 4995 y Fh(abc)2752 4980 y Fw(\()p Fj(t)2825 4944 y Fk(0)2848
35380 4980 y Fw(\))p 2588 5024 299 4 v 2683 5116 a(2)p Fj(\031)2913
35381 5048 y(P)2976 5063 y Fh(a)p Fk(!)p Fh(bc)3165 4926 y
35382 Fg(\022)3248 4980 y Fj(x)p 3236 5024 79 4 v 3236 5116
35383 a(x)3291 5087 y Fk(0)3325 4926 y Fg(\023)3386 4901 y(\))912
35384 5343 y Fw(=)83 b(exp)1236 5197 y Fg(\()1303 5343 y Fn(\000)1397
35385 5226 y Fg(Z)1480 5252 y Fh(t)1505 5260 y Ff(max)1443
35386 5414 y Fh(t)1643 5343 y Fw(d)p Fj(t)1732 5302 y Fk(0)1789
35387 5260 y Fg(X)1805 5434 y Fh(a;c)1925 5226 y Fg(Z)2025
35388 5343 y Fw(d)p Fj(z)2156 5275 y(\013)2218 5290 y Fh(abc)2320
35389 5275 y Fw(\()p Fj(t)2393 5239 y Fk(0)2416 5275 y Fw(\))p
35390 2156 5319 299 4 v 2251 5411 a(2)p Fj(\031)2481 5343 y(P)2544
35391 5358 y Fh(a)p Fk(!)p Fh(bc)2717 5343 y Fw(\()p Fj(z)t
35392 Fw(\))2869 5275 y Fj(x)2924 5239 y Fk(0)2948 5275 y Fj(f)2996
35393 5290 y Fh(a)3037 5275 y Fw(\()p Fj(x)3130 5239 y Fk(0)3154
35394 5275 y Fj(;)17 b(t)3233 5239 y Fk(0)3256 5275 y Fw(\))p
35395 2869 5319 426 4 v 2896 5411 a Fj(xf)2999 5426 y Fh(b)3034
35396 5411 y Fw(\()p Fj(x;)g(t)3206 5382 y Fk(0)3229 5411 y
35397 Fw(\))3304 5197 y Fg(\))3420 5343 y Fj(;)110 b Fw(\(147\))0
35398 5632 y(giving)31 b(the)i(probabilit)m(y)e(that)h(a)g(parton)h
35399 Fj(b)f Fw(remains)g(at)g Fj(x)h Fw(from)f Fj(t)2474 5647
35400 y Fl(max)2642 5632 y Fw(to)g(a)g Fj(t)c(<)g(t)3044 5647
35401 y Fl(max)3180 5632 y Fw(.)1817 5953 y(201)p eop
35402 %%Page: 202 208
35403 202 207 bop 146 -18 a Fw(It)36 b(ma)m(y)f(b)s(e)h(useful)f(to)g
35404 (compare)g(this)h(with)f(the)h(corresp)s(onding)f(expression)i(for)e
35405 (forw)m(ard)g(ev)m(o-)0 90 y(lution,)44 b(i.e.)74 b(with)42
35406 b Fj(S)813 105 y Fh(a)855 90 y Fw(\()p Fj(t)p Fw(\))h(in)f(eq.)i
35407 (\(130\).)74 b(The)44 b(most)e(ob)m(vious)h(di\013erence)h(is)e(the)h
35408 (app)s(earance)h(of)0 198 y(parton)39 b(distributions)e(in)i
35409 Fj(S)1078 213 y Fh(b)1112 198 y Fw(.)63 b(P)m(arton)39
35410 b(distributions)e(are)i(absen)m(t)i(in)d Fj(S)2771 213
35411 y Fh(a)2813 198 y Fw(:)56 b(the)39 b(probabilit)m(y)e(for)i(a)0
35412 307 y(giv)m(en)c(parton)g Fj(a)g Fw(to)f(branc)m(h,)i(once)g(it)e
35413 (exists,)i(is)e(indep)s(enden)m(t)j(of)d(the)h(densit)m(y)h(of)e
35414 (partons)h Fj(a)g Fw(or)g Fj(b)p Fw(.)0 415 y(The)i(parton)f
35415 (distributions)f(in)g Fj(S)1273 430 y Fh(b)1307 415 y
35416 Fw(,)j(on)e(the)g(other)h(hand,)g(express)h(the)f(fact)f(that)g(the)g
35417 (probabilit)m(y)0 523 y(for)30 b(a)h(parton)g Fj(b)g
35418 Fw(to)g(come)g(from)e(the)j(branc)m(hing)f(of)f(a)h(parton)g
35419 Fj(a)g Fw(is)f(prop)s(ortional)f(to)h(the)i(n)m(um)m(b)s(er)f(of)0
35420 632 y(partons)f Fj(a)h Fw(there)g(are)f(in)f(the)i(hadron,)g(and)f(in)m
35421 (v)m(ersely)h(prop)s(ortional)d(to)i(the)g(n)m(um)m(b)s(er)h(of)f
35422 (partons)g Fj(b)p Fw(.)0 740 y(Th)m(us)39 b(the)e(n)m(umerator)g
35423 Fj(f)951 755 y Fh(a)1030 740 y Fw(in)g(the)g(exp)s(onen)m(tial)g(of)g
35424 Fj(S)2025 755 y Fh(b)2096 740 y Fw(ensures)i(that)e(the)h(parton)f
35425 (comp)s(osition)e(of)0 848 y(the)30 b(hadron)f(is)f(prop)s(erly)h
35426 (re\015ected.)44 b(As)30 b(an)f(example,)g(when)i(a)d(gluon)h(is)f(c)m
35427 (hosen)j(at)e(the)g(hard)g(scat-)0 957 y(tering)h(and)h(ev)m(olv)m(ed)h
35428 (bac)m(kw)m(ards,)i(this)c(gluon)g(is)h(more)f(lik)m(ely)g(to)g(ha)m(v)
35429 m(e)i(b)s(een)g(emitted)e(b)m(y)i(a)e(u)h(than)0 1065
35430 y(b)m(y)37 b(a)f(d)g(if)e(the)j(incoming)c(hadron)j(is)g(a)g(proton.)53
35431 b(Similarly)-8 b(,)33 b(if)h(a)i(hea)m(vy)i(\015a)m(v)m(our)e(is)g(c)m
35432 (hosen)h(at)f(the)0 1173 y(hard)e(scattering,)h(the)g(denominator)e
35433 Fj(f)1498 1188 y Fh(b)1566 1173 y Fw(will)f(v)-5 b(anish)35
35434 b(at)f(the)g Fj(Q)2423 1137 y Fl(2)2497 1173 y Fw(threshold)h(of)f(the)
35435 g(hea)m(vy-\015a)m(v)m(our)0 1282 y(pro)s(duction,)40
35436 b(whic)m(h)g(means)g(that)f(the)h(in)m(tegrand)f(div)m(erges)h(and)f
35437 Fj(S)2596 1297 y Fh(b)2670 1282 y Fw(itself)f(v)-5 b(anishes,)42
35438 b(so)d(that)h(no)0 1390 y(hea)m(vy)34 b(\015a)m(v)m(our)g(remain)d(b)s
35439 (elo)m(w)h(threshold.)146 1498 y(Another)44 b(di\013erence)f(b)s(et)m
35440 (w)m(een)i Fj(S)1432 1513 y Fh(b)1509 1498 y Fw(and)e
35441 Fj(S)1769 1513 y Fh(a)1811 1498 y Fw(,)i(already)e(touc)m(hed)h(up)s
35442 (on,)h(is)e(that)f(the)h Fj(P)3471 1513 y Fl(g)q Fk(!)p
35443 Fl(gg)3654 1498 y Fw(\()p Fj(z)t Fw(\))0 1607 y(splitting)37
35444 b(k)m(ernel)j(app)s(ears)f(with)g(a)f(normalization)e(2)p
35445 Fj(N)2121 1622 y Fh(C)2219 1607 y Fw(in)i Fj(S)2399 1622
35446 y Fh(b)2472 1607 y Fw(but)i(only)e(with)h Fj(N)3185 1622
35447 y Fh(C)3283 1607 y Fw(in)g Fj(S)3464 1622 y Fh(a)3505
35448 1607 y Fw(,)i(since)0 1715 y(t)m(w)m(o)33 b(gluons)f(are)h(pro)s(duced)
35449 g(but)g(only)f(one)h(deca)m(ys)i(in)c(a)i(branc)m(hing.)146
35450 1823 y(A)40 b(kno)m(wledge)h(of)f Fj(S)917 1838 y Fh(b)991
35451 1823 y Fw(is)g(enough)g(to)g(reconstruct)h(the)g(parton)e(sho)m(w)m(er)
35452 j(bac)m(kw)m(ards.)68 b(A)m(t)41 b(eac)m(h)0 1932 y(branc)m(hing)31
35453 b Fj(a)d Fn(!)g Fj(bc)p Fw(,)k(three)g(quan)m(tities)f(ha)m(v)m(e)i(to)
35454 e(b)s(e)h(found:)43 b(the)32 b Fj(t)g Fw(v)-5 b(alue)31
35455 b(of)g(the)h(branc)m(hing)f(\(whic)m(h)0 2040 y(de\014nes)42
35456 b(the)e(space-lik)m(e)h(virtualit)m(y)d Fj(Q)1466 2004
35457 y Fl(2)1466 2065 y Fh(b)1546 2040 y Fw(of)i(parton)f
35458 Fj(b)p Fw(\),)k(the)e(parton)e(\015a)m(v)m(our)j Fj(a)e
35459 Fw(and)g(the)h(splitting)0 2148 y(v)-5 b(ariable)31 b
35460 Fj(z)t Fw(.)44 b(This)33 b(information)c(ma)m(y)k(b)s(e)f(extracted)i
35461 (as)f(follo)m(ws:)119 2261 y(1.)49 b(If)31 b(parton)g
35462 Fj(b)h Fw(parto)s(ok)f(in)f(the)i(hard)f(scattering)g(or)g(branc)m(hed)
35463 i(in)m(to)e(other)g(partons)h(at)e(a)h(scale)244 2370
35464 y Fj(t)279 2385 y Fl(max)415 2370 y Fw(,)f(the)f(probabilit)m(y)f(that)
35465 h Fj(b)h Fw(w)m(as)g(pro)s(duced)g(in)e(a)i(branc)m(hing)f
35466 Fj(a)f Fn(!)f Fj(bc)j Fw(at)f(a)g(lo)m(w)m(er)g(scale)g
35467 Fj(t)h Fw(is)347 2577 y(d)p Fn(P)470 2592 y Fh(b)p 347
35468 2621 158 4 v 381 2713 a Fw(d)p Fj(t)543 2644 y Fw(=)d
35469 Fn(\000)733 2577 y Fw(d)p Fj(S)847 2592 y Fh(b)882 2577
35470 y Fw(\()p Fj(x;)17 b(t)1054 2592 y Fl(max)1190 2577 y
35471 Fj(;)g(t)p Fw(\))p 733 2621 574 4 v 975 2713 a(d)p Fj(t)1344
35472 2644 y Fw(=)1448 2498 y Fg( )1514 2561 y(X)1530 2736
35473 y Fh(a;c)1650 2527 y Fg(Z)1750 2644 y Fj(dz)1877 2577
35474 y(\013)1939 2592 y Fh(abc)2041 2577 y Fw(\()p Fj(t)2114
35475 2541 y Fk(0)2138 2577 y Fw(\))p 1877 2621 299 4 v 1972
35476 2713 a(2)p Fj(\031)2202 2644 y(P)2265 2659 y Fh(a)p Fk(!)p
35477 Fh(bc)2438 2644 y Fw(\()p Fj(z)t Fw(\))2590 2577 y Fj(x)2645
35478 2541 y Fk(0)2669 2577 y Fj(f)2717 2592 y Fh(a)2759 2577
35479 y Fw(\()p Fj(x)2852 2541 y Fk(0)2875 2577 y Fj(;)g(t)2954
35480 2541 y Fk(0)2977 2577 y Fw(\))p 2590 2621 426 4 v 2617
35481 2713 a Fj(xf)2720 2728 y Fh(b)2755 2713 y Fw(\()p Fj(x;)g(t)2927
35482 2684 y Fk(0)2951 2713 y Fw(\))3025 2498 y Fg(!)3108 2644
35483 y Fj(S)3168 2659 y Fh(b)3202 2644 y Fw(\()p Fj(x;)g(t)3374
35484 2659 y Fl(max)3510 2644 y Fj(;)g(t)p Fw(\))32 b Fj(:)3557
35485 2840 y Fw(\(148\))244 2948 y(If)25 b(no)g(branc)m(hing)g(is)f(found)i
35486 (ab)s(o)m(v)m(e)g(the)f(cut-o\013)g(scale)g Fj(t)2253
35487 2963 y Fl(0)2317 2948 y Fw(the)h(iteration)d(is)i(stopp)s(ed)h(and)f
35488 (parton)244 3057 y Fj(b)33 b Fw(is)f(assumed)h(to)f(b)s(e)h(massless.)
35489 119 3174 y(2.)49 b(Giv)m(en)25 b(the)g Fj(t)g Fw(of)f(a)h(branc)m
35490 (hing,)h(the)f(relativ)m(e)f(probabilities)e(for)j(the)g(di\013eren)m
35491 (t)g(allo)m(w)m(ed)f(branc)m(h-)244 3283 y(ings)32 b
35492 Fj(a)c Fn(!)f Fj(bc)33 b Fw(are)g(giv)m(en)f(b)m(y)i(the)f
35493 Fj(z)k Fw(in)m(tegrals)32 b(ab)s(o)m(v)m(e,)h(i.e.)43
35494 b(b)m(y)1316 3433 y Fg(Z)1415 3550 y Fw(d)p Fj(z)1546
35495 3482 y(\013)1608 3497 y Fh(abc)1710 3482 y Fw(\()p Fj(t)p
35496 Fw(\))p 1546 3527 276 4 v 1630 3618 a(2)p Fj(\031)1848
35497 3550 y(P)1911 3565 y Fh(a)p Fk(!)p Fh(bc)2084 3550 y
35498 Fw(\()p Fj(z)t Fw(\))2236 3482 y Fj(x)2291 3446 y Fk(0)2315
35499 3482 y Fj(f)2363 3497 y Fh(a)2405 3482 y Fw(\()p Fj(x)2498
35500 3446 y Fk(0)2521 3482 y Fj(;)17 b(t)p Fw(\))p 2236 3527
35501 402 4 v 2263 3618 a Fj(xf)2366 3633 y Fh(b)2401 3618
35502 y Fw(\()p Fj(x;)g(t)p Fw(\))2681 3550 y Fj(:)849 b Fw(\(149\))119
35503 3823 y(3.)49 b(Finally)-8 b(,)38 b(with)i Fj(t)f Fw(and)h
35504 Fj(a)g Fw(kno)m(wn,)i(the)e(probabilit)m(y)e(distribution)f(in)i(the)h
35505 (splitting)d(v)-5 b(ariable)244 3931 y Fj(z)32 b Fw(=)c
35506 Fj(x=x)584 3895 y Fk(0)635 3931 y Fw(=)g Fj(x)794 3946
35507 y Fh(b)829 3931 y Fj(=x)933 3946 y Fh(a)1007 3931 y Fw(is)k(giv)m(en)h
35508 (b)m(y)g(the)g(in)m(tegrand)g(in)f(eq.)h(\(149\).)0 4044
35509 y(In)i(addition,)e(the)i(azim)m(uthal)e(angle)h Fj(')g
35510 Fw(of)g(the)h(branc)m(hing)g(is)f(selected)i(isotropically)-8
35511 b(,)32 b(i.e.)49 b(no)35 b(spin)0 4152 y(or)d(coherence)j(e\013ects)f
35512 (are)e(included)g(in)g(this)g(distribution.)146 4261
35513 y(The)h(selection)e(of)h Fj(t)p Fw(,)g Fj(a)g Fw(and)g
35514 Fj(z)k Fw(is)31 b(then)i(a)e(standard)i(task)f(of)f(the)h(kind)g(than)g
35515 (can)g(b)s(e)g(p)s(erformed)0 4369 y(with)g(the)h(help)f(of)g(the)h(v)m
35516 (eto)g(algorithm.)41 b(Sp)s(eci\014cally)-8 b(,)31 b(upp)s(er)i(and)f
35517 (lo)m(w)m(er)h(b)s(ounds)g(for)f(parton)g(dis-)0 4478
35518 y(tributions)24 b(are)i(used)h(to)e(\014nd)h(simple)f(functions)g(that)
35519 h(are)f(ev)m(erywhere)k(larger)c(than)g(the)h(in)m(tegrands)0
35520 4586 y(in)g(eq.)h(\(149\).)41 b(Based)27 b(on)g(these)h(simple)d
35521 (expressions,)k(the)e(in)m(tegration)e(o)m(v)m(er)j Fj(z)j
35522 Fw(ma)m(y)c(b)s(e)f(carried)h(out,)0 4694 y(and)j Fj(t)p
35523 Fw(,)h Fj(a)f Fw(and)h Fj(z)j Fw(v)-5 b(alues)30 b(selected.)44
35524 b(This)30 b(set)h(is)f(then)h(accepted)g(with)f(a)g(w)m(eigh)m(t)g(giv)
35525 m(en)h(b)m(y)g(a)e(ratio)g(of)0 4803 y(the)37 b(correct)g(in)m(tegrand)
35526 f(in)g(eq.)i(\(149\))d(to)h(the)h(simple)e(appro)m(ximation)g(used,)j
35527 (b)s(oth)f(ev)-5 b(aluated)36 b(for)0 4911 y(the)h(giv)m(en)g(set.)56
35528 b(Since)37 b(parton)f(distributions,)g(as)h(a)f(rule,)h(are)g(not)f(in)
35529 g(a)g(simple)g(analytical)e(form,)0 5019 y(it)g(ma)m(y)g(b)s(e)i(tric)m
35530 (ky)f(to)f(\014nd)i(reasonably)f(go)s(o)s(d)e(b)s(ounds)j(to)e(parton)h
35531 (distributions.)49 b(It)35 b(is)f(necessary)0 5128 y(to)44
35532 b(mak)m(e)h(di\013eren)m(t)f(assumptions)h(for)e(v)-5
35533 b(alence)45 b(and)g(sea)g(quarks,)j(and)d(b)s(e)g(esp)s(ecially)e
35534 (atten)m(tiv)m(e)0 5236 y(close)32 b(to)f(a)h(\015a)m(v)m(our)h
35535 (threshold)e(\([Sj\177)-49 b(o85]\).)43 b(An)32 b(electron)g
35536 (distribution)e(inside)h(an)h(electron)f(b)s(eha)m(v)m(es)0
35537 5344 y(di\013eren)m(tly)40 b(from)f(parton)h(distributions)f(encoun)m
35538 (tered)j(in)e(hadrons,)i(and)f(has)f(to)g(b)s(e)h(considered)0
35539 5453 y(separately)-8 b(.)146 5561 y(A)43 b(commen)m(t)e(on)h(soft)g
35540 (gluon)f(emission.)71 b(Nominally)39 b(the)k(range)f(of)f(the)i
35541 Fj(z)k Fw(in)m(tegral)40 b(in)i Fj(S)3638 5576 y Fh(b)3714
35542 5561 y Fw(is)0 5669 y Fj(x)28 b Fn(\024)g Fj(z)33 b Fn(\024)28
35543 b Fw(1.)43 b(The)34 b(lo)m(w)m(er)f(limit)c(corresp)s(onds)34
35544 b(to)e Fj(x)1888 5633 y Fk(0)1939 5669 y Fw(=)c Fj(x=z)33
35545 b Fw(=)27 b(1,)33 b(and)f(parton)h(distributions)e(v)-5
35546 b(anish)1817 5953 y(202)p eop
35547 %%Page: 203 209
35548 203 208 bop 0 -18 a Fw(in)30 b(this)g(limit,)d(wherefore)32
35549 b(no)e(problems)g(are)g(encoun)m(tered)j(here.)43 b(A)m(t)31
35550 b(the)g(upp)s(er)g(cut-o\013)f Fj(z)i Fw(=)c(1)i(the)0
35551 90 y(splitting)23 b(k)m(ernels)j Fj(P)759 105 y Fl(q)p
35552 Fk(!)p Fl(qg)944 90 y Fw(\()p Fj(z)t Fw(\))g(and)f Fj(P)1340
35553 105 y Fl(g)q Fk(!)p Fl(gg)1547 90 y Fw(div)m(erge.)42
35554 b(This)25 b(is)g(the)g(soft)g(gluon)f(singularit)m(y:)38
35555 b(the)25 b(energy)0 198 y(carried)34 b(b)m(y)h(the)g(emitted)f(gluon)f
35556 (is)h(v)-5 b(anishing,)34 b Fj(x)1877 213 y Fl(g)1948
35557 198 y Fw(=)d Fj(x)2110 162 y Fk(0)2157 198 y Fn(\000)24
35558 b Fj(x)31 b Fw(=)g(\(1)23 b Fn(\000)h Fj(z)t Fw(\))p
35559 Fj(x)2804 162 y Fk(0)2859 198 y Fw(=)31 b(\(1)23 b Fn(\000)h
35560 Fj(z)t Fw(\))p Fj(x=z)36 b Fn(!)31 b Fw(0)j(for)0 307
35561 y Fj(z)e Fn(!)c Fw(1.)43 b(In)32 b(order)h(to)f(calculate)f(the)i(in)m
35562 (tegral)d(o)m(v)m(er)k Fj(z)j Fw(in)31 b Fj(S)2211 322
35563 y Fh(b)2246 307 y Fw(,)h(an)g(upp)s(er)h(cut-o\013)f
35564 Fj(z)3070 322 y Fl(max)3233 307 y Fw(=)c Fj(x=)p Fw(\()p
35565 Fj(x)22 b Fw(+)f Fj(x)3708 322 y Fh(\017)3742 307 y Fw(\))0
35566 415 y(is)36 b(in)m(tro)s(duced,)i(i.e.)55 b(only)36 b(branc)m(hings)h
35567 (with)f Fj(z)k Fn(\024)35 b Fj(z)1983 430 y Fl(max)2155
35568 415 y Fw(are)i(included)f(in)g Fj(S)2894 430 y Fh(b)2928
35569 415 y Fw(.)55 b(Here)38 b Fj(x)3300 430 y Fh(\017)3369
35570 415 y Fw(is)e(a)h(small)0 523 y(n)m(um)m(b)s(er,)48 b(t)m(ypically)c(c)
35571 m(hosen)i(so)f(that)g(the)g(gluon)f(energy)h Fj(x)2324
35572 538 y Fl(g)2365 452 y Fn(p)p 2448 452 46 4 v 71 x Fj(s=)p
35573 Fw(2)j Fn(\025)h Fj(x)2821 538 y Fh(\017)2854 452 y Fn(p)p
35574 2937 452 V 71 x Fj(s=)p Fw(2)f(=)g(2)d(GeV.)g(The)0 632
35575 y(a)m(v)m(erage)c(amoun)m(t)d(of)i(energy)g(carried)f(a)m(w)m(a)m(y)i
35576 (b)m(y)g(gluons)e(in)f(the)i(range)g Fj(x)2815 647 y
35577 Fh(g)2895 632 y Fj(<)f(x)3065 647 y Fh(\017)3098 632
35578 y Fw(,)j(o)m(v)m(er)e(the)g(giv)m(en)0 740 y(range)29
35579 b(of)f Fj(t)h Fw(v)-5 b(alues)29 b(from)f Fj(t)982 755
35580 y Fh(a)1052 740 y Fw(to)h Fj(t)1203 755 y Fh(b)1237 740
35581 y Fw(,)h(ma)m(y)f(b)s(e)g(estimated)f([Sj\177)-49 b(o85)o(].)43
35582 b(The)29 b(\014nally)f(selected)i Fj(z)j Fw(v)-5 b(alue)29
35583 b(ma)m(y)0 848 y(th)m(us)35 b(b)s(e)f(pic)m(k)m(ed)g(as)g
35584 Fj(z)h Fw(=)29 b Fj(z)1002 863 y Fl(hard)1148 848 y Fn(h)p
35585 Fj(z)1232 863 y Fl(soft)1348 848 y Fw(\()p Fj(t)1421
35586 863 y Fh(a)1463 848 y Fj(;)17 b(t)1542 863 y Fh(b)1576
35587 848 y Fw(\))p Fn(i)p Fw(,)34 b(where)h Fj(z)2042 863
35588 y Fl(hard)2221 848 y Fw(is)e(the)h(originally)c(selected)35
35589 b Fj(z)j Fw(v)-5 b(alue)33 b(and)0 957 y Fj(z)45 972
35590 y Fl(soft)194 957 y Fw(is)f(the)h(correction)f(factor)h(for)f(soft)g
35591 (gluon)g(emission.)146 1065 y(In)k(QED)f(sho)m(w)m(ers,)j(the)e
35592 (smallness)f(of)f Fj(\013)1691 1080 y Fl(em)1821 1065
35593 y Fw(means)h(that)h(one)f(can)h(use)g(rather)g(smaller)d(cut-o\013)0
35594 1173 y(v)-5 b(alues)38 b(without)g(obtaining)e(large)h(amoun)m(ts)h(of)
35595 f(emission.)59 b(A)38 b(\014xed)i(small)35 b(cut-o\013)j
35596 Fj(x)3289 1188 y Fh(\015)3371 1173 y Fj(>)f Fw(10)3582
35597 1137 y Fk(\000)p Fl(6)3714 1173 y Fw(is)0 1282 y(therefore)d(used)g(to)
35598 f(a)m(v)m(oid)g(the)h(region)e(of)h(v)m(ery)h(soft)g(photons.)46
35599 b(As)33 b(has)h(b)s(een)g(discussed)h(in)d(section)0
35600 1390 y(7.1.3,)c(the)f(electron)g(distribution)e(inside)h(the)i
35601 (electron)f(is)f(cut)i(o\013)e(at)h Fj(x)2660 1405 y
35602 Fl(e)2723 1390 y Fj(<)h Fw(1)11 b Fn(\000)g Fw(10)3073
35603 1354 y Fk(\000)p Fl(6)3166 1390 y Fw(,)29 b(for)d(n)m(umerical)0
35604 1498 y(reasons,)34 b(so)e(the)h(t)m(w)m(o)h(cuts)f(are)g(closely)f
35605 (matc)m(hed.)146 1607 y(The)i(cut-o\013)e(scale)h Fj(Q)964
35606 1622 y Fl(0)1036 1607 y Fw(ma)m(y)g(b)s(e)g(c)m(hosen)h(separately)f
35607 (for)f(QCD)h(and)g(QED)f(sho)m(w)m(ers,)j(just)e(as)g(in)0
35608 1715 y(\014nal-state)38 b(radiation.)59 b(The)39 b(defaults)f(are)h(1)f
35609 (GeV)g(and)h(0.001)e(GeV,)i(resp)s(ectiv)m(ely)-8 b(.)62
35610 b(The)39 b(former)0 1823 y(is)34 b(the)i(t)m(ypical)e(hadronic)g(mass)h
35611 (scale,)g(b)s(elo)m(w)g(whic)m(h)g(radiation)e(is)h(not)h(exp)s(ected)i
35612 (resolv)-5 b(able;)35 b(the)0 1932 y(latter)d(is)g(of)g(the)h(order)f
35613 (of)h(the)g(electron)f(mass.)146 2040 y(Normally)f(QED)h(and)h(QCD)g
35614 (sho)m(w)m(ers)i(do)e(not)g(app)s(ear)g(mixed.)43 b(The)34
35615 b(most)f(notable)f(exception)0 2148 y(is)c(resolv)m(ed)i(photopro)s
35616 (duction)e(\(in)g(ep\))h(and)g(resolv)m(ed)h(2)p Fj(\015)j
35617 Fw(ev)m(en)m(ts)f(\(in)c(e)2687 2112 y Fl(+)2746 2148
35618 y Fw(e)2789 2112 y Fk(\000)2848 2148 y Fw(\),)i(i.e.)42
35619 b(sho)m(w)m(er)30 b(histories)0 2257 y(of)41 b(the)h(t)m(yp)s(e)g(e)h
35620 Fn(!)f Fj(\015)47 b Fn(!)42 b Fw(q.)70 b(Here)42 b(the)g
35621 Fj(Q)1634 2221 y Fl(2)1715 2257 y Fw(scales)g(need)g(not)f(b)s(e)h
35622 (ordered)g(at)f(the)g(in)m(terface,)j(i.e.)0 2365 y(the)35
35623 b(last)e(e)d Fn(!)g Fw(e)p Fj(\015)40 b Fw(branc)m(hing)34
35624 b(ma)m(y)g(w)m(ell)f(ha)m(v)m(e)i(a)f(larger)f Fj(Q)2223
35625 2329 y Fl(2)2297 2365 y Fw(than)h(the)g(\014rst)h(q)c
35626 Fn(!)e Fw(qg)36 b(one,)f(and)f(the)0 2473 y(branc)m(hing)g
35627 Fj(\015)h Fn(!)30 b Fw(q)k(do)s(es)h(not)f(ev)m(en)h(ha)m(v)m(e)h(a)e
35628 (strict)f(parton-sho)m(w)m(er)i(in)m(terpretation)e(for)h(the)g(v)m
35629 (ector)0 2582 y(dominance)f(mo)s(del)g(part)h(of)f(the)i(photon)f
35630 (parton)g(distribution.)46 b(These)36 b(issues)f(are)f(curren)m(tly)h
35631 (not)0 2690 y(addressed)g(in)d(full.)43 b(Rather,)33
35632 b(based)h(on)f(the)h Fj(x)f Fw(selected)h(for)f(the)g(parton)g(\(quark)
35633 h(or)e(gluon\))g(at)h(the)0 2798 y(hard)g(scattering,)h(the)g
35634 Fj(x)931 2813 y Fh(\015)1009 2798 y Fw(is)e(selected)j(once)f(and)f
35635 (for)g(all)e(in)i(the)h(range)f Fj(x)c(<)g(x)2965 2813
35636 y Fh(\015)3039 2798 y Fj(<)g Fw(1,)k(according)g(to)0
35637 2907 y(the)j(distribution)e(implied)g(b)m(y)i(eq.)h(\(54\).)53
35638 b(The)37 b(QCD)f(parton)f(sho)m(w)m(er)j(is)d(then)i(traced)f(bac)m(kw)
35639 m(ards)0 3015 y(from)45 b(the)h(hard)g(scattering)f(to)h(the)g(QCD)g
35640 (sho)m(w)m(er)h(initiator)c(at)i Fj(t)2603 3030 y Fl(0)2643
35641 3015 y Fw(.)83 b(No)46 b(attempt)f(is)g(made)h(to)0 3123
35642 y(p)s(erform)32 b(the)h(full)d(QED)j(sho)m(w)m(er,)h(but)f(rather)g
35643 (the)g(b)s(eam)f(remnan)m(t)g(treatmen)m(t)h(\(see)g(section)g(11.1\))0
35644 3232 y(is)c(used)h(to)f(\014nd)g(the)p 786 3179 52 4
35645 v 30 w(q)h(\(or)e(g)q(\))i(remnan)m(t)f(that)g(matc)m(hes)g(the)h(q)f
35646 (\(or)g(g)q(\))g(QCD)g(sho)m(w)m(er)i(initiator,)c(with)0
35647 3340 y(the)33 b(electron)g(itself)e(considered)i(as)g(a)f(second)i(b)s
35648 (eam)e(remnan)m(t.)0 3588 y Fo(10.3.3)113 b(T)-9 b(ransv)m(erse)38
35649 b(ev)m(olution)0 3761 y Fw(W)-8 b(e)48 b(ha)m(v)m(e)h(ab)s(o)m(v)m(e)f
35650 (seen)h(that)e(t)m(w)m(o)h(parton)f(lines)g(ma)m(y)g(b)s(e)h
35651 (de\014ned,)k(stretc)m(hing)c(bac)m(k)h(from)d(the)0
35652 3869 y(hard)40 b(scattering)g(to)g(the)h(initial)c(incoming)h(hadron)i
35653 (w)m(a)m(v)m(efunctions)i(at)e(small)e Fj(Q)3150 3833
35654 y Fl(2)3190 3869 y Fw(.)67 b(Sp)s(eci\014cally)-8 b(,)0
35655 3977 y(all)41 b(parton)h(\015a)m(v)m(ours)i Fj(i)p Fw(,)i(virtualities)
35656 40 b Fj(Q)1525 3941 y Fl(2)1608 3977 y Fw(and)j(energy)h(fractions)e
35657 Fj(x)h Fw(ma)m(y)g(b)s(e)g(found.)74 b(The)44 b(exact)0
35658 4086 y(kinematical)d(in)m(terpretation)i(of)g(the)h Fj(x)g
35659 Fw(v)-5 b(ariable)42 b(is)h(not)h(unique,)j(ho)m(w)m(ev)m(er.)79
35660 b(F)-8 b(or)43 b(partons)h(with)0 4194 y(small)25 b(virtualities)g(and)
35661 j(transv)m(erse)i(momen)m(ta,)d(essen)m(tially)g(all)f(de\014nitions)h
35662 (agree,)h(but)g(di\013erences)0 4302 y(ma)m(y)k(app)s(ear)h(for)f
35663 (branc)m(hings)h(close)f(to)h(the)g(hard)f(scattering.)146
35664 4411 y(In)44 b(\014rst-order)f(QED)f([Ber85])h(and)h(in)e(some)h
35665 (simple)e(QCD)i(to)m(y)g(mo)s(dels)f([Got86)o(],)j(one)f(ma)m(y)0
35666 4519 y(sho)m(w)h(that)e(the)i(`correct')f(c)m(hoice)g(is)g(the)g(`)t(^)
35667 -53 b Fj(s)43 b Fw(approac)m(h'.)78 b(Here)44 b(one)g(requires)h(that)j
35668 (^)-53 b Fj(s)46 b Fw(=)h Fj(x)3572 4534 y Fl(1)3612
35669 4519 y Fj(x)3667 4534 y Fl(2)3706 4519 y Fj(s)p Fw(,)0
35670 4627 y(b)s(oth)39 b(at)g(the)h(hard)g(scattering)f(scale)h(and)g(at)f
35671 (an)m(y)h(lo)m(w)m(er)g(scale,)h(i.e.)68 b(^)-53 b Fj(s)p
35672 Fw(\()p Fj(Q)2866 4591 y Fl(2)2906 4627 y Fw(\))39 b(=)g
35673 Fj(x)3153 4642 y Fl(1)3193 4627 y Fw(\()p Fj(Q)3308 4591
35674 y Fl(2)3348 4627 y Fw(\))17 b Fj(x)3458 4642 y Fl(2)3497
35675 4627 y Fw(\()p Fj(Q)3612 4591 y Fl(2)3652 4627 y Fw(\))g
35676 Fj(s)p Fw(,)0 4736 y(where)40 b Fj(x)343 4751 y Fl(1)422
35677 4736 y Fw(and)f Fj(x)673 4751 y Fl(2)752 4736 y Fw(are)g(the)g
35678 Fj(x)h Fw(v)-5 b(alues)38 b(of)h(the)g(t)m(w)m(o)h(resolv)m(ed)g
35679 (partons)f(\(one)g(from)f(eac)m(h)i(incoming)0 4844 y(b)s(eam)e
35680 (particle\))f(at)h(the)h(giv)m(en)g Fj(Q)1302 4808 y
35681 Fl(2)1380 4844 y Fw(scale.)62 b(In)39 b(practice)f(this)g(means)h
35682 (that,)h(at)e(a)g(branc)m(hing)h(with)0 4952 y(the)34
35683 b(splitting)e(v)-5 b(ariable)32 b Fj(z)t Fw(,)j(the)f(total)j(^)-53
35684 b Fj(s)33 b Fw(has)i(to)e(b)s(e)h(increased)h(b)m(y)g(a)e(factor)h(1)p
35685 Fj(=z)k Fw(in)33 b(the)h(bac)m(kw)m(ards)0 5061 y(ev)m(olution.)42
35686 b(It)32 b(also)e(means)h(that)h(branc)m(hings)f(on)h(the)f(t)m(w)m(o)i
35687 (incoming)c(legs)i(ha)m(v)m(e)h(to)f(b)s(e)h(in)m(terlea)m(v)m(ed)0
35688 5169 y(in)g(a)g(single)g(monotonic)f(sequence)k(of)d
35689 Fj(Q)1536 5133 y Fl(2)1608 5169 y Fw(v)-5 b(alues)33
35690 b(of)f(branc)m(hings.)146 5277 y(F)-8 b(or)42 b(a)g(reconstruction)h
35691 (of)f(the)h(complete)e(kinematics)h(in)f(this)h(approac)m(h,)k(one)c
35692 (should)g(start)0 5386 y(with)c(the)i(hard)f(scattering,)h(for)e(whic)m
35693 (h)44 b(^)-53 b Fj(s)38 b Fw(has)i(b)s(een)f(c)m(hosen)i(according)d
35694 (to)h(the)g(hard)g(scattering)0 5494 y(matrix)d(elemen)m(t.)58
35695 b(By)38 b(bac)m(kw)m(ards)i(ev)m(olution,)e(the)g(virtualities)d
35696 Fj(Q)2575 5458 y Fl(2)2575 5519 y(1)2650 5494 y Fw(=)h
35697 Fn(\000)p Fj(m)2924 5458 y Fl(2)2924 5519 y(1)3002 5494
35698 y Fw(and)i Fj(Q)3274 5458 y Fl(2)3274 5519 y(2)3349 5494
35699 y Fw(=)e Fn(\000)p Fj(m)3623 5458 y Fl(2)3623 5519 y(2)3701
35700 5494 y Fw(of)0 5602 y(the)31 b(t)m(w)m(o)h(in)m(teracting)e(partons)h
35701 (are)g(reconstructed.)45 b(Initially)27 b(the)32 b(t)m(w)m(o)f(partons)
35702 h(are)e(considered)i(in)1817 5953 y(203)p eop
35703 %%Page: 204 210
35704 204 209 bop 0 -18 a Fw(their)32 b(common)g(c.m.)45 b(frame,)32
35705 b(coming)f(in)i(along)e(the)j Fn(\006)p Fj(z)k Fw(directions.)44
35706 b(Then)34 b(the)g(four-momen)m(tum)0 90 y(v)m(ectors)g(ha)m(v)m(e)g
35707 (the)f(non-v)-5 b(anishing)31 b(comp)s(onen)m(ts)1230
35708 318 y Fj(E)1302 333 y Fl(1)p Fh(;)p Fl(2)1479 318 y Fw(=)1652
35709 251 y(^)-53 b Fj(s)22 b Fn(\006)h Fw(\()p Fj(Q)1931 215
35710 y Fl(2)1931 276 y(2)1993 251 y Fn(\000)f Fj(Q)2169 215
35711 y Fl(2)2169 276 y(1)2209 251 y Fw(\))p 1648 295 599 4
35712 v 1859 398 a(2)1908 313 y Fn(p)p 1991 313 46 4 v 1995
35713 398 a Fw(^)-53 b Fj(s)2290 318 y(;)940 617 y(p)989 632
35714 y Fh(z)s Fl(1)1091 617 y Fw(=)28 b Fn(\000)p Fj(p)1321
35715 632 y Fh(z)s Fl(2)1479 617 y Fw(=)1638 449 y Fg(s)p 1721
35716 449 1059 4 v 1731 549 a Fw(\()t(^)-53 b Fj(s)22 b Fw(+)g
35717 Fj(Q)2012 515 y Fl(2)2012 571 y(1)2074 549 y Fw(+)g Fj(Q)2249
35718 515 y Fl(2)2249 571 y(2)2289 549 y Fw(\))2327 520 y Fl(2)2388
35719 549 y Fn(\000)h Fw(4)p Fj(Q)2614 515 y Fl(2)2614 571
35720 y(1)2654 549 y Fj(Q)2731 515 y Fl(2)2731 571 y(2)p 1731
35721 593 1039 4 v 2203 685 a Fw(4)t(^)-53 b Fj(s)2813 617
35722 y(;)717 b Fw(\(150\))0 836 y(with)32 b(\()p Fj(p)309
35723 851 y Fl(1)371 836 y Fw(+)22 b Fj(p)518 851 y Fl(2)557
35724 836 y Fw(\))595 800 y Fl(2)662 836 y Fw(=)32 b(^)-53
35725 b Fj(s)p Fw(.)146 945 y(If,)35 b(sa)m(y)-8 b(,)35 b Fj(Q)539
35726 908 y Fl(2)539 969 y(1)609 945 y Fj(>)30 b(Q)792 908
35727 y Fl(2)792 969 y(2)832 945 y Fw(,)k(then)h(the)g(branc)m(hing)f(3)c
35728 Fn(!)f Fw(1)23 b(+)g(4,)35 b(whic)m(h)f(pro)s(duced)h(parton)f(1,)g(is)
35729 g(the)g(one)0 1053 y(that)28 b(to)s(ok)g(place)g(closest)h(to)f(the)h
35730 (hard)f(scattering,)h(and)f(the)h(one)g(to)f(b)s(e)g(reconstructed)i
35731 (\014rst.)43 b(With)0 1161 y(the)e(four-momen)m(tum)e
35732 Fj(p)949 1176 y Fl(3)1030 1161 y Fw(kno)m(wn,)44 b Fj(p)1425
35733 1176 y Fl(4)1506 1161 y Fw(=)e Fj(p)1673 1176 y Fl(3)1741
35734 1161 y Fn(\000)28 b Fj(p)1895 1176 y Fl(1)1975 1161 y
35735 Fw(is)41 b(automatically)c(kno)m(wn,)45 b(so)c(there)h(are)f(four)0
35736 1270 y(degrees)33 b(of)f(freedom.)43 b(One)32 b(corresp)s(onds)i(to)e
35737 (a)f(trivial)f(azim)m(uthal)g(angle)h(around)h(the)h
35738 Fj(z)j Fw(axis.)44 b(The)0 1378 y Fj(z)33 b Fw(splitting)26
35739 b(v)-5 b(ariable)27 b(for)g(the)i(3)f Fn(!)f Fw(1)13
35740 b(+)g(4)28 b(v)m(ertex)i(is)e(found)h(as)f(the)h(same)f(time)f(as)h
35741 Fj(Q)3145 1342 y Fl(2)3145 1403 y(1)3185 1378 y Fw(,)h(and)g(pro)m
35742 (vides)0 1486 y(the)41 b(constrain)m(t)g(\()p Fj(p)730
35743 1501 y Fl(3)798 1486 y Fw(+)27 b Fj(p)950 1501 y Fl(2)990
35744 1486 y Fw(\))1028 1450 y Fl(2)1109 1486 y Fw(=)46 b(^)-53
35745 b Fj(s=z)t Fw(.)69 b(The)42 b(virtualit)m(y)d Fj(Q)2192
35746 1450 y Fl(2)2192 1511 y(3)2273 1486 y Fw(is)i(giv)m(en)g(b)m(y)h(bac)m
35747 (kw)m(ards)h(ev)m(olution)d(of)0 1595 y(parton)32 b(3.)146
35748 1703 y(One)39 b(degree)g(of)f(freedom)g(remains)g(to)g(b)s(e)g(sp)s
35749 (eci\014ed,)j(and)e(this)f(is)g(related)g(to)g(the)h(p)s(ossibilit)m(y)
35750 0 1811 y(that)g(parton)h(4)f(initiates)e(a)j(time-lik)m(e)d(parton)i
35751 (sho)m(w)m(er,)k(i.e.)64 b(ma)m(y)39 b(ha)m(v)m(e)i(a)f(non-zero)f
35752 (mass.)65 b(The)0 1920 y(maxim)m(um)33 b(allo)m(w)m(ed)h(squared)i
35753 (mass)f Fj(m)1497 1884 y Fl(2)1497 1944 y(max)o Fh(;)p
35754 Fl(4)1722 1920 y Fw(is)f(found)h(for)g(a)f(collinear)f(branc)m(hing)i
35755 (3)c Fn(!)g Fw(1)24 b(+)f(4.)50 b(In)0 2028 y(terms)33
35756 b(of)f(the)h(com)m(binations)1402 2191 y Fj(s)1448 2206
35757 y Fl(1)1570 2191 y Fw(=)87 b(^)-53 b Fj(s)22 b Fw(+)g
35758 Fj(Q)1972 2150 y Fl(2)1972 2216 y(2)2034 2191 y Fw(+)g
35759 Fj(Q)2209 2150 y Fl(2)2209 2216 y(1)2281 2191 y Fj(;)1402
35760 2385 y(s)1448 2400 y Fl(3)1570 2385 y Fw(=)1745 2318
35761 y(^)-53 b Fj(s)p 1739 2362 50 4 v 1739 2454 a(z)1821
35762 2385 y Fw(+)22 b Fj(Q)1996 2344 y Fl(2)1996 2410 y(2)2058
35763 2385 y Fw(+)g Fj(Q)2233 2344 y Fl(2)2233 2410 y(3)2305
35764 2385 y Fj(;)1404 2601 y(r)1448 2616 y Fl(1)1570 2601
35765 y Fw(=)1729 2494 y Fg(q)p 1812 2494 490 4 v 107 x Fj(s)1858
35766 2567 y Fl(2)1858 2623 y(1)1920 2601 y Fn(\000)g Fw(4)p
35767 Fj(Q)2145 2567 y Fl(2)2145 2623 y(2)2185 2601 y Fj(Q)2262
35768 2567 y Fl(2)2262 2623 y(1)2334 2601 y Fj(;)1404 2787
35769 y(r)1448 2802 y Fl(3)1570 2787 y Fw(=)1729 2680 y Fg(q)p
35770 1812 2680 V 107 x Fj(s)1858 2753 y Fl(2)1858 2809 y(3)1920
35771 2787 y Fn(\000)g Fw(4)p Fj(Q)2145 2753 y Fl(2)2145 2809
35772 y(2)2185 2787 y Fj(Q)2262 2753 y Fl(2)2262 2809 y(3)2334
35773 2787 y Fj(;)1196 b Fw(\(151\))0 2950 y(one)33 b(obtains)1178
35774 3084 y Fj(m)1263 3043 y Fl(2)1263 3109 y(max)p Fh(;)p
35775 Fl(4)1482 3084 y Fw(=)1595 3017 y Fj(s)1641 3032 y Fl(1)1681
35776 3017 y Fj(s)1727 3032 y Fl(3)1788 3017 y Fn(\000)23 b
35777 Fj(r)1932 3032 y Fl(1)1971 3017 y Fj(r)2015 3032 y Fl(3)p
35778 1595 3061 460 4 v 1742 3152 a Fw(2)p Fj(Q)1868 3118 y
35779 Fl(2)1868 3174 y(2)2087 3084 y Fn(\000)f Fj(Q)2263 3043
35780 y Fl(2)2263 3109 y(1)2325 3084 y Fn(\000)h Fj(Q)2502
35781 3043 y Fl(2)2502 3109 y(3)2574 3084 y Fj(;)956 b Fw(\(152\))0
35782 3296 y(whic)m(h,)33 b(for)f(the)h(sp)s(ecial)f(case)h(of)f
35783 Fj(Q)1335 3260 y Fl(2)1335 3321 y(2)1403 3296 y Fw(=)27
35784 b(0,)33 b(reduces)h(to)906 3533 y Fj(m)991 3492 y Fl(2)991
35785 3558 y(max)o Fh(;)p Fl(4)1209 3533 y Fw(=)1313 3387 y
35786 Fg(\()1389 3466 y Fj(Q)1466 3430 y Fl(2)1466 3490 y(1)p
35787 1389 3510 117 4 v 1423 3601 a Fj(z)1538 3533 y Fn(\000)23
35788 b Fj(Q)1715 3492 y Fl(2)1715 3558 y(3)1755 3387 y Fg(\))16
35789 b(\()2037 3466 y Fw(^)-53 b Fj(s)p 1915 3510 283 4 v
35790 1919 3601 a Fw(^)g Fj(s)22 b Fw(+)g Fj(Q)2158 3567 y
35791 Fl(2)2158 3623 y(1)2230 3533 y Fn(\000)2511 3466 y Fw(^)-53
35792 b Fj(s)p 2339 3510 382 4 v 2343 3601 a Fw(^)g Fj(s=z)27
35793 b Fw(+)22 b Fj(Q)2681 3567 y Fl(2)2681 3623 y(3)2731
35794 3387 y Fg(\))2847 3533 y Fj(:)683 b Fw(\(153\))0 3765
35795 y(These)32 b(constrain)m(ts)e(on)g Fj(m)992 3780 y Fl(4)1062
35796 3765 y Fw(are)g(only)g(the)g(kinematical)d(ones,)32 b(in)d(addition)f
35797 (coherence)k(phenomena)0 3873 y(could)40 b(constrain)f(the)i
35798 Fj(m)959 3888 y Fl(max)o Fh(;)p Fl(4)1189 3873 y Fw(v)-5
35799 b(alues)40 b(further.)66 b(Some)40 b(options)f(of)g(this)h(kind)g(are)g
35800 (a)m(v)-5 b(ailable;)41 b(the)0 3982 y(default)22 b(one)h(is)f(to)h
35801 (require)g(additionally)c(that)k Fj(m)1819 3945 y Fl(2)1819
35802 4006 y(4)1886 3982 y Fn(\024)28 b Fj(Q)2068 3945 y Fl(2)2068
35803 4006 y(1)2108 3982 y Fw(,)d(i.e.)39 b(lesser)24 b(than)e(the)i
35804 (space-lik)m(e)e(virtualit)m(y)0 4090 y(of)32 b(the)h(sister)g(parton.)
35805 146 4198 y(With)c(the)h(maxim)m(um)d(virtualit)m(y)h(giv)m(en,)i(the)g
35806 (\014nal-state)e(sho)m(w)m(ering)i(mac)m(hinery)g(ma)m(y)f(b)s(e)g
35807 (used)0 4307 y(to)37 b(giv)m(e)h(the)g(dev)m(elopmen)m(t)h(of)e(the)h
35808 (subsequen)m(t)j(cascade,)f(including)c(the)i(actual)f(mass)h
35809 Fj(m)3484 4270 y Fl(2)3484 4331 y(4)3524 4307 y Fw(,)h(with)0
35810 4415 y(0)h Fn(\024)h Fj(m)292 4379 y Fl(2)292 4440 y(4)372
35811 4415 y Fn(\024)g Fj(m)575 4379 y Fl(2)575 4440 y(max)o
35812 Fh(;)p Fl(4)766 4415 y Fw(.)65 b(The)41 b(ev)m(olution)e(is)h(p)s
35813 (erformed)f(in)h(the)g(c.m.)66 b(frame)39 b(of)g(the)i(t)m(w)m(o)f
35814 (`resolv)m(ed')0 4523 y(partons,)29 b(i.e.)42 b(that)27
35815 b(of)h(partons)g(1)g(and)g(2)f(for)h(the)g(branc)m(hing)g(3)f
35816 Fn(!)g Fw(1)13 b(+)g(4,)28 b(and)g(parton)g(4)f(is)h(assumed)0
35817 4643 y(to)i(ha)m(v)m(e)i(a)e(nominal)e(energy)k Fj(E)1173
35818 4658 y Fl(nom)o Fh(;)p Fl(4)1393 4643 y Fw(=)27 b(\(1)p
35819 Fj(=z)22 b Fn(\000)d Fw(1\))1882 4559 y Fn(p)p 1965 4559
35820 46 4 v 1969 4643 a Fw(^)-53 b Fj(s)o(=)p Fw(2.)43 b(\(Sligh)m(t)29
35821 b(mo)s(di\014cations)f(app)s(ear)i(if)g(parton)0 4752
35822 y(4)i(has)h(a)g(non-v)-5 b(anishing)31 b(mass)h Fj(m)1282
35823 4767 y Fl(q)1356 4752 y Fw(or)h Fj(m)1561 4767 y Fh(`)1594
35824 4752 y Fw(.\))146 4860 y(Using)g(the)g(relation)d Fj(m)1031
35825 4824 y Fl(2)1031 4885 y(4)1099 4860 y Fw(=)d(\()p Fj(p)1289
35826 4875 y Fl(3)1351 4860 y Fn(\000)22 b Fj(p)1499 4875 y
35827 Fl(1)1539 4860 y Fw(\))1577 4824 y Fl(2)1616 4860 y Fw(,)33
35828 b(the)g(momen)m(tum)e(of)h(parton)g(3)h(ma)m(y)f(no)m(w)h(b)s(e)g
35829 (found)g(as)594 5097 y Fj(E)666 5112 y Fl(3)788 5097
35830 y Fw(=)1022 5030 y(1)p 957 5074 178 4 v 957 5176 a(2)1006
35831 5092 y Fn(p)p 1089 5092 46 4 v 1093 5176 a Fw(^)-53 b
35832 Fj(s)1162 4951 y Fg(\()1244 5030 y Fw(^)g Fj(s)p 1238
35833 5074 50 4 v 1238 5166 a(z)1320 5097 y Fw(+)22 b Fj(Q)1495
35834 5056 y Fl(2)1495 5122 y(2)1557 5097 y Fn(\000)h Fj(Q)1734
35835 5056 y Fl(2)1734 5122 y(1)1796 5097 y Fn(\000)f Fj(m)1980
35836 5056 y Fl(2)1980 5122 y(4)2020 4951 y Fg(\))2136 5097
35837 y Fj(;)581 5362 y(p)630 5377 y Fh(z)s Fl(3)788 5362 y
35838 Fw(=)1019 5294 y(1)p 957 5338 173 4 v 957 5430 a(2)p
35839 Fj(p)1055 5445 y Fh(z)s Fl(1)1157 5362 y Fn(f)p Fj(s)1253
35840 5377 y Fl(3)1314 5362 y Fn(\000)h Fw(2)p Fj(E)1535 5377
35841 y Fl(2)1574 5362 y Fj(E)1646 5377 y Fl(3)1686 5362 y
35842 Fn(g)49 b Fj(;)543 5629 y(p)592 5588 y Fl(2)592 5654
35843 y Fk(?)p Fh(;)p Fl(3)788 5629 y Fw(=)947 5533 y Fg(n)1003
35844 5629 y Fj(m)1088 5588 y Fl(2)1088 5654 y(max)o Fh(;)p
35845 Fl(4)1301 5629 y Fn(\000)22 b Fj(m)1485 5588 y Fl(2)1485
35846 5654 y(4)1525 5533 y Fg(o)1623 5562 y Fw(\()p Fj(s)1707
35847 5577 y Fl(1)1747 5562 y Fj(s)1793 5577 y Fl(3)1854 5562
35848 y Fw(+)g Fj(r)1996 5577 y Fl(1)2036 5562 y Fj(r)2080
35849 5577 y Fl(3)2119 5562 y Fw(\))p Fj(=)p Fw(2)g Fn(\000)g
35850 Fj(Q)2453 5525 y Fl(2)2453 5586 y(2)2493 5562 y Fw(\()p
35851 Fj(Q)2608 5525 y Fl(2)2608 5586 y(1)2670 5562 y Fw(+)g
35852 Fj(Q)2845 5525 y Fl(2)2845 5586 y(3)2907 5562 y Fw(+)g
35853 Fj(m)3090 5525 y Fl(2)3090 5586 y(4)3129 5562 y Fw(\))p
35854 1623 5606 1544 4 v 2352 5697 a Fj(r)2399 5663 y Fl(2)2396
35855 5719 y(1)3210 5629 y Fj(:)320 b Fw(\(154\))1817 5953
35856 y(204)p eop
35857 %%Page: 205 211
35858 205 210 bop 146 -18 a Fw(The)38 b(requiremen)m(t)g(that)f
35859 Fj(m)1199 -55 y Fl(2)1199 6 y(4)1274 -18 y Fn(\025)f
35860 Fw(0)h(\(or)g Fn(\025)f Fj(m)1833 -55 y Fl(2)1833 6 y
35861 Fh(f)1915 -18 y Fw(for)h(hea)m(vy)i(\015a)m(v)m(ours\))f(imp)s(oses)f
35862 (a)f(constrain)m(t)i(on)0 106 y(allo)m(w)m(ed)25 b Fj(z)31
35863 b Fw(v)-5 b(alues.)42 b(This)26 b(constrain)m(t)g(cannot)h(b)s(e)f
35864 (included)g(in)f(the)i(c)m(hoice)f(of)g Fj(Q)2969 70
35865 y Fl(2)2969 131 y(1)3009 106 y Fw(,)h(where)h(it)d(logically)0
35866 215 y(b)s(elongs,)30 b(since)g(it)f(also)g(dep)s(ends)i(on)f
35867 Fj(Q)1483 179 y Fl(2)1483 239 y(2)1552 215 y Fw(and)g
35868 Fj(Q)1816 179 y Fl(2)1816 239 y(3)1856 215 y Fw(,)g(whic)m(h)g(are)g
35869 (unkno)m(wn)i(at)d(this)g(p)s(oin)m(t.)42 b(It)30 b(is)f(fairly)0
35870 323 y(rare)d(\(in)f(the)i(order)f(of)g(10\045)g(of)g(all)e(ev)m(en)m
35871 (ts\))k(that)e(an)g(unallo)m(w)m(ed)g Fj(z)31 b Fw(v)-5
35872 b(alue)26 b(is)f(generated,)k(and)d(when)h(it)0 431 y(happ)s(ens)32
35873 b(it)f(is)g(almost)e(alw)m(a)m(ys)j(for)f(one)h(of)f(the)h(t)m(w)m(o)g
35874 (branc)m(hings)f(closest)h(to)f(the)h(hard)f(in)m(teraction:)0
35875 540 y(for)h Fj(Q)226 504 y Fl(2)226 564 y(2)294 540 y
35876 Fw(=)c(0)33 b(eq.)h(\(153\))e(ma)m(y)h(b)s(e)g(solv)m(ed)g(to)g(yield)f
35877 Fj(z)h Fn(\024)g Fw(^)-53 b Fj(s=)p Fw(\()t(^)g Fj(s)22
35878 b Fw(+)g Fj(Q)2444 504 y Fl(2)2444 564 y(1)2506 540 y
35879 Fn(\000)h Fj(Q)2683 504 y Fl(2)2683 564 y(3)2723 540
35880 y Fw(\),)33 b(whic)m(h)g(is)f(a)h(more)f(sev)m(ere)0
35881 648 y(cut)k(for)k(^)-53 b Fj(s)36 b Fw(small)d(and)k
35882 Fj(Q)935 612 y Fl(2)935 673 y(1)1010 648 y Fw(large.)53
35883 b(Therefore)37 b(an)f(essen)m(tially)g(bias-free)f(w)m(a)m(y)i(of)f
35884 (coping)f(is)h(to)f(redo)0 756 y(completely)c(an)m(y)j(initial-state)29
35885 b(cascade)k(for)f(whic)m(h)h(this)g(problem)e(app)s(ears.)146
35886 865 y(This)j(completes)f(the)h(reconstruction)g(of)e(the)i(3)29
35887 b Fn(!)g Fw(1)22 b(+)h(4)33 b(v)m(ertex.)47 b(The)35
35888 b(subsystem)g(made)e(out)0 973 y(of)h(partons)g(3)g(and)g(2)g(ma)m(y)f
35889 (no)m(w)i(b)s(e)f(b)s(o)s(osted)g(to)g(its)g(rest)g(frame)g(and)g
35890 (rotated)g(to)f(bring)g(partons)i(3)0 1081 y(and)29 b(2)f(along)f(the)i
35891 Fn(\006)p Fj(z)34 b Fw(directions.)42 b(The)29 b(partons)g(1)f(and)h(4)
35892 f(no)m(w)i(ha)m(v)m(e)g(opp)s(osite)e(and)g(comp)s(ensating)0
35893 1190 y(transv)m(erse)36 b(momen)m(ta)d(with)g(resp)s(ect)i(to)e(the)i
35894 (ev)m(en)m(t)g(axis.)47 b(When)35 b(the)f(next)h(v)m(ertex)g(is)e
35895 (considered,)0 1298 y(either)23 b(the)g(one)g(that)f(pro)s(duces)i
35896 (parton)f(3)f(or)h(the)g(one)g(that)f(pro)s(duces)i(parton)f(2,)h(the)g
35897 (3{2)e(subsystem)0 1406 y(will)f(\014ll)g(the)j(function)e(the)i(1{2)e
35898 (system)i(did)f(ab)s(o)m(v)m(e,)j(e.g.)40 b(the)24 b(r^)-49
35899 b(ole)22 b(of)k(^)-53 b Fj(s)28 b Fw(=)k(^)-53 b Fj(s)2784
35900 1421 y Fl(12)2881 1406 y Fw(in)23 b(the)g(form)m(ulae)f(ab)s(o)m(v)m(e)
35901 0 1515 y(is)28 b(no)m(w)i(pla)m(y)m(ed)f(b)m(y)k(^)-53
35902 b Fj(s)773 1530 y Fl(32)876 1515 y Fw(=)31 b(^)-53 b
35903 Fj(s)1025 1530 y Fl(12)1100 1515 y Fj(=z)t Fw(.)43 b(The)29
35904 b(in)m(ternal)f(structure)i(of)e(the)h(3{2)f(system,)j(i.e.)41
35905 b(the)30 b(branc)m(hing)0 1623 y(3)35 b Fn(!)g Fw(1)25
35906 b(+)g(4,)38 b(app)s(ears)g(no)m(where)g(in)f(the)g(con)m(tin)m(ued)h
35907 (description,)g(but)f(has)h(b)s(ecome)f(`unresolv)m(ed'.)0
35908 1731 y(It)42 b(is)f(only)g(re\015ected)j(in)d(the)h(successiv)m(e)i
35909 (rotations)d(and)h(b)s(o)s(osts)g(p)s(erformed)f(to)g(bring)g(bac)m(k)i
35910 (the)0 1840 y(new)37 b(endp)s(oin)m(ts)e(to)h(their)f(common)f(rest)i
35911 (frame.)52 b(Thereb)m(y)38 b(the)e(hard)f(scattering)h(subsystem)h(1{2)
35912 0 1948 y(builds)32 b(up)g(a)g(net)h(transv)m(erse)i(momen)m(tum)30
35913 b(and)j(also)e(an)i(o)m(v)m(erall)e(rotation)g(of)h(the)g(hard)h
35914 (scattering)0 2056 y(subsystem.)146 2165 y(After)41 b(a)f(n)m(um)m(b)s
35915 (er)h(of)f(steps,)k(the)c(t)m(w)m(o)h(outermost)g(partons)f(ha)m(v)m(e)
35916 i(virtualities)c Fj(Q)3268 2129 y Fl(2)3348 2165 y Fj(<)j(Q)3542
35917 2129 y Fl(2)3542 2189 y(0)3622 2165 y Fw(and)0 2273 y(then)27
35918 b(the)f(sho)m(w)m(er)i(is)e(terminated)f(and)i(the)f(endp)s(oin)m(ts)h
35919 (assigned)f Fj(Q)2515 2237 y Fl(2)2583 2273 y Fw(=)h(0.)41
35920 b(Up)27 b(to)e(small)f(corrections)0 2382 y(from)37 b(primordial)e
35921 Fj(k)770 2397 y Fk(?)829 2382 y Fw(,)40 b(discussed)g(in)d(section)i
35922 (11.1,)g(a)f(\014nal)g(b)s(o)s(ost)g(will)e(bring)h(the)i(partons)g
35923 (from)0 2490 y(their)34 b(c.m.)50 b(frame)33 b(to)i(the)g(o)m(v)m
35924 (erall)e(c.m.)50 b(frame,)34 b(where)i(the)f Fj(x)g Fw(v)-5
35925 b(alues)35 b(of)f(the)h(outermost)f(partons)0 2598 y(agree)f(also)e
35926 (with)i(the)g(ligh)m(t-cone)e(de\014nition.)0 2846 y
35927 Fo(10.3.4)113 b(Other)37 b(initial-state)d(sho)m(w)m(er)k(asp)s(ects)0
35928 3019 y Fw(In)26 b(the)f(form)m(ulae)f(ab)s(o)m(v)m(e,)k
35929 Fj(Q)1044 2982 y Fl(2)1108 3019 y Fw(has)e(b)s(een)g(used)g(as)g
35930 (argumen)m(t)f(for)f Fj(\013)2458 3034 y Fl(s)2491 3019
35931 y Fw(,)i(and)g(not)f(only)f(as)i(the)g(space-lik)m(e)0
35932 3127 y(virtualit)m(y)h(of)i(partons.)43 b(This)29 b(is)g(one)g(p)s
35933 (ossibilit)m(y)-8 b(,)28 b(but)h(in)g(fact)g(lo)s(op)f(calculations)f
35934 (tend)j(to)f(indicate)0 3235 y(that)41 b(the)i(prop)s(er)e(argumen)m(t)
35935 h(for)f Fj(\013)1384 3250 y Fl(s)1458 3235 y Fw(is)g(not)g
35936 Fj(Q)1824 3199 y Fl(2)1906 3235 y Fw(but)h Fj(p)2143
35937 3199 y Fl(2)2143 3260 y Fk(?)2245 3235 y Fw(=)h(\(1)28
35938 b Fn(\000)h Fj(z)t Fw(\))p Fj(Q)2749 3199 y Fl(2)2831
35939 3235 y Fw([Bas83].)71 b(The)42 b(v)-5 b(ariable)0 3344
35940 y Fj(p)49 3359 y Fk(?)145 3344 y Fw(do)s(es)37 b(ha)m(v)m(e)h(the)f(in)
35941 m(terpretation)e(of)i(transv)m(erse)h(momen)m(tum,)f(although)e(it)h
35942 (is)g(only)g(exactly)h(so)0 3452 y(for)i(a)h(branc)m(hing)g
35943 Fj(a)g Fn(!)g Fj(bc)h Fw(with)e Fj(a)h Fw(and)g Fj(c)g
35944 Fw(massless)g(and)g Fj(Q)2327 3416 y Fl(2)2407 3452 y
35945 Fw(=)g Fn(\000)p Fj(m)2685 3416 y Fl(2)2685 3477 y Fh(b)2726
35946 3452 y Fw(,)i(and)e(with)f Fj(z)45 b Fw(in)m(terpreted)0
35947 3560 y(as)38 b(ligh)m(t-cone)f(fraction)f(of)i(energy)h(and)f(momen)m
35948 (tum.)58 b(The)38 b(use)h(of)f Fj(\013)2696 3575 y Fl(s)2728
35949 3560 y Fw(\(\(1)25 b Fn(\000)h Fj(z)t Fw(\))p Fj(Q)3145
35950 3524 y Fl(2)3186 3560 y Fw(\))38 b(is)f(default)g(in)0
35951 3669 y(the)f(program.)52 b(Indeed,)38 b(if)d(one)h(w)m(an)m(ted)h(to,)f
35952 (the)g(complete)f(sho)m(w)m(er)j(migh)m(t)c(b)s(e)i(in)m(terpreted)h
35953 (as)f(an)0 3777 y(ev)m(olution)c(in)g Fj(p)586 3741 y
35954 Fl(2)586 3802 y Fk(?)677 3777 y Fw(rather)h(than)f(in)g
35955 Fj(Q)1388 3741 y Fl(2)1428 3777 y Fw(.)146 3885 y(As)37
35956 b(w)m(e)h(see,)h(the)e(initial-state)32 b(sho)m(w)m(ering)38
35957 b(algorithm)33 b(leads)j(to)g(a)h(net)f(b)s(o)s(ost)g(and)h(rotation)e
35958 (of)0 3994 y(the)29 b(hard)f(scattering)g(subsystems.)44
35959 b(The)29 b(o)m(v)m(erall)f(\014nal)f(state)i(is)e(made)h(ev)m(en)i
35960 (more)d(complex)h(b)m(y)h(the)0 4102 y(additional)i(\014nal-state)j
35961 (radiation.)46 b(In)35 b(principle,)e(the)i(complexit)m(y)f(is)f(v)m
35962 (ery)j(ph)m(ysical,)f(but)f(it)g(ma)m(y)0 4210 y(still)d(ha)m(v)m(e)k
35963 (undesirable)f(side)f(e\013ects.)48 b(One)34 b(suc)m(h,)i(discussed)f
35964 (further)f(in)f(section)g(9.2,)h(is)f(that)g(it)g(is)0
35965 4319 y(v)m(ery)27 b(di\016cult)f(to)f(generate)i(ev)m(en)m(ts)h(that)e
35966 (ful\014ll)d(sp)s(eci\014c)k(kinematics)e(conditions,)h(since)g
35967 (kinematics)0 4427 y(is)32 b(smeared)h(and)g(ev)m(en,)h(at)e(times,)g
35968 (am)m(biguous.)146 4535 y(A)42 b(sp)s(ecial)e(case)i(is)e(encoun)m
35969 (tered)k(in)c(deep)i(inelastic)e(scattering)h(in)f(ep)i(collisions.)66
35970 b(Here)42 b(the)0 4644 y(DIS)34 b Fj(x)g Fw(and)g Fj(Q)555
35971 4608 y Fl(2)629 4644 y Fw(v)-5 b(alues)34 b(are)g(de\014ned)i(in)d
35972 (terms)h(of)g(the)g(scattered)h(electron)f(direction)f(and)h(energy)-8
35973 b(,)0 4752 y(and)35 b(therefore)g(are)f(unam)m(biguous)g(\(except)i
35974 (for)e(issues)i(of)e(\014nal-state)g(photon)g(radiation)e(close)j(to)0
35975 4860 y(the)e(electron)f(direction\).)42 b(Neither)32
35976 b(initial-)c(nor)k(\014nal-state)g(sho)m(w)m(ers)i(preserv)m(e)h(the)e
35977 (kinematics)e(of)0 4969 y(the)36 b(scattered)h(electron,)f(ho)m(w)m(ev)
35978 m(er,)j(and)d(hence)h(the)f(DIS)g Fj(x)g Fw(and)f Fj(Q)2594
35979 4933 y Fl(2)2670 4969 y Fw(are)g(c)m(hanged.)54 b(In)36
35980 b(principle,)0 5077 y(this)30 b(is)h(p)s(erfectly)g(legitimate,)d(with)
35981 i(the)h(ca)m(v)m(eat)h(that)f(one)g(then)h(also)d(should)i(use)h
35982 (di\013eren)m(t)f(sets)h(of)0 5186 y(parton)e(distributions)g(than)g
35983 (ones)i(deriv)m(ed)f(from)f(DIS,)g(since)i(these)f(are)g(based)h(on)e
35984 (the)h(kinematics)0 5294 y(of)43 b(the)i(scattered)g(lepton)e(and)h
35985 (nothing)f(else.)77 b(Alternativ)m(ely)-8 b(,)46 b(one)e(migh)m(t)f
35986 (consider)h(sho)m(w)m(ering)0 5402 y(sc)m(hemes)34 b(that)e(lea)m(v)m
35987 (e)h Fj(x)g Fw(and)f Fj(Q)1178 5366 y Fl(2)1250 5402
35988 y Fw(unc)m(hanged.)45 b(In)33 b([Ben88])f(detailed)g(mo)s
35989 (di\014cations)e(are)i(presen)m(ted)0 5511 y(that)g(mak)m(e)g(a)f
35990 (preserv)-5 b(ation)32 b(p)s(ossible)g(when)h(radiation)c(o\013)j(the)g
35991 (incoming)e(and)i(outgoing)f(electron)0 5619 y(is)h(neglected,)h(but)g
35992 (these)h(are)f(not)f(included)g(in)g(the)h(curren)m(t)h(v)m(ersion)f
35993 (of)39 b Fm(Pythia)p Fw(.)1817 5953 y(205)p eop
35994 %%Page: 206 212
35995 206 211 bop 146 -18 a Fw(What)31 b(is)f(a)m(v)-5 b(ailable,)29
35996 b(as)h(an)h(option,)f(is)g(a)g(simple)f(mac)m(hinery)i(whic)m(h)g
35997 (preserv)m(es)i Fj(x)e Fw(and)g Fj(Q)3512 -55 y Fl(2)3582
35998 -18 y Fw(from)0 90 y(the)d(e\013ects)h(of)f(QCD)f(radiation,)g(and)h
35999 (also)f(from)g(those)h(of)f(primordial)e Fj(k)2732 105
36000 y Fk(?)2818 90 y Fw(and)j(the)g(b)s(eam)g(remnan)m(t)0
36001 198 y(treatmen)m(t,)47 b(as)d(follo)m(ws.)76 b(After)44
36002 b(the)g(sho)m(w)m(ers)i(ha)m(v)m(e)f(b)s(een)g(generated,)i(the)d
36003 (four-momen)m(tum)e(of)0 307 y(the)j(scattered)g(lepton)f(is)g(c)m
36004 (hanged)h(to)f(the)h(exp)s(ected)h(one,)h(based)e(on)g(the)f(nominal)e
36005 Fj(x)i Fw(and)h Fj(Q)3740 270 y Fl(2)0 415 y Fw(v)-5
36006 b(alues.)43 b(The)34 b(azim)m(uthal)c(angle)h(of)h(the)h(lepton)f(is)g
36007 (main)m(tained)e(when)k(the)e(transv)m(erse)j(momen)m(tum)0
36008 523 y(is)24 b(adjusted.)42 b(Photon)24 b(radiation)f(o\013)h(the)h
36009 (lepton)f(leg)g(is)g(not)g(fully)f(accoun)m(ted)j(for,)g(i.e.)40
36010 b(it)24 b(is)g(assumed)0 632 y(that)38 b(the)h(energy)g(of)f
36011 (\014nal-state)g(photons)h(is)e(added)i(to)f(that)h(of)f(the)g
36012 (scattered)i(electron)e(for)g(the)0 740 y(de\014nition)32
36013 b(of)g Fj(x)h Fw(and)f Fj(Q)899 704 y Fl(2)971 740 y
36014 Fw(\(this)h(is)f(the)h(normal)d(pro)s(cedure)k(for)e
36015 (parton-distribution)e(de\014nitions\).)146 848 y(The)43
36016 b(c)m(hange)g(of)e(three-momen)m(tum)g(on)g(the)h(lepton)g(side)f(of)h
36017 (the)g(ev)m(en)m(t)h(is)f(balanced)f(b)m(y)i(the)0 957
36018 y(\014nal)31 b(state)h(partons)g(on)f(the)h(hadron)g(side,)g(excluding)
36019 f(the)h(b)s(eam)f(remnan)m(t)h(but)g(including)d(all)h(the)0
36020 1065 y(partons)43 b(b)s(oth)f(from)f(initial-)d(and)k(\014nal-state)g
36021 (sho)m(w)m(ering.)73 b(The)44 b(fraction)d(of)h(three-momen)m(tum)0
36022 1173 y(shift)i(tak)m(en)h(b)m(y)g(eac)m(h)g(parton)e(is)h(prop)s
36023 (ortional)d(to)j(its)g(original)c(ligh)m(t-cone)j(momen)m(tum)g(in)g
36024 (the)0 1282 y(direction)34 b(of)h(the)g(incoming)e(lepton,)j(i.e.)50
36025 b(to)35 b Fj(E)30 b Fn(\007)24 b Fj(p)1991 1297 y Fh(z)2066
36026 1282 y Fw(for)35 b(a)g(hadron)g(mo)m(ving)f(in)g(the)i
36027 Fn(\006)f Fw(direction.)0 1390 y(This)i(pro)s(cedure)i(guaran)m(tees)f
36028 (momen)m(tum)e(but)h(not)g(energy)h(conserv)-5 b(ation.)58
36029 b(F)-8 b(or)36 b(the)i(latter,)f(one)0 1498 y(additional)30
36030 b(degree)j(of)f(freedom)g(is)g(needed,)i(whic)m(h)f(is)f(tak)m(en)h(to)
36031 g(b)s(e)f(the)h(longitudinal)c(momen)m(tum)0 1607 y(of)k(the)g(initial)
36032 c(state)34 b(sho)m(w)m(er)g(initiator.)42 b(As)33 b(this)g(momen)m(tum)
36033 e(is)i(mo)s(di\014ed,)f(the)h(c)m(hange)h(is)f(shared)0
36034 1715 y(b)m(y)i(the)g(\014nal)f(state)h(partons)f(on)h(the)g(hadron)f
36035 (side,)h(according)f(to)g(the)h(same)f(ligh)m(t-cone)f(fractions)0
36036 1823 y(as)k(b)s(efore)g(\(based)g(on)g(the)g(original)d(momen)m(ta\).)
36037 54 b(Energy)38 b(conserv)-5 b(ation)37 b(requires)g(that)g(the)g(total)
36038 0 1932 y(c)m(hange)45 b(in)e(\014nal)g(state)h(parton)f(energies)i
36039 (plus)e(the)h(c)m(hange)h(in)e(lepton)g(side)h(energy)h(equals)f(the)0
36040 2040 y(c)m(hange)39 b(in)f(initiator)d(energy)-8 b(.)62
36041 b(This)39 b(condition)e(can)i(b)s(e)f(turned)i(in)m(to)d(an)i(iterativ)
36042 m(e)e(pro)s(cedure)j(to)0 2148 y(\014nd)33 b(the)g(initiator)c(momen)m
36043 (tum)j(shift.)146 2257 y(Sometimes)e(the)i(pro)s(cedure)g(ma)m(y)f
36044 (break)g(do)m(wn.)44 b(F)-8 b(or)31 b(instance,)h(an)f(initiator)c
36045 (with)k Fj(x)d(>)g Fw(1)j(ma)m(y)0 2365 y(b)s(e)j(reconstructed.)49
36046 b(If)33 b(this)h(should)f(happ)s(en,)i(the)f Fj(x)g Fw(and)g
36047 Fj(Q)2282 2329 y Fl(2)2356 2365 y Fw(v)-5 b(alues)33
36048 b(of)g(the)i(ev)m(en)m(t)g(are)f(preserv)m(ed,)0 2473
36049 y(but)i(new)h(initial)c(and)j(\014nal)f(state)h(sho)m(w)m(ers)j(are)d
36050 (generated.)54 b(After)37 b(\014v)m(e)g(suc)m(h)g(failures,)f(the)h(ev)
36051 m(en)m(t)0 2582 y(is)32 b(completely)g(discared)g(in)g(fa)m(v)m(our)h
36052 (of)f(a)h(new)g(kinematical)d(setup.)146 2690 y(Kindly)38
36053 b(note)h(that)g(the)h(four-momen)m(tum)d(of)h(in)m(termediate)g
36054 (partons)h(in)f(the)i(sho)m(w)m(er)h(history)0 2798 y(are)31
36055 b(not)f(b)s(eing)g(adjusted.)44 b(In)31 b(a)g(listing)d(of)i(the)i
36056 (complete)e(ev)m(en)m(t)i(history)-8 b(,)31 b(energy)h(and)f(momen)m
36057 (tum)0 2907 y(need)40 b(then)f(not)f(b)s(e)h(conserv)m(ed)i(in)d(sho)m
36058 (w)m(er)i(branc)m(hings.)62 b(This)38 b(mismatc)m(h)g(could)g(b)s(e)g
36059 (\014xed)i(up,)h(if)0 3015 y(need)34 b(b)s(e.)146 3123
36060 y(The)h(sc)m(heme)h(presen)m(ted)g(ab)s(o)m(v)m(e)f(should)e(not)h(b)s
36061 (e)h(tak)m(en)g(to)s(o)e(literally)-8 b(,)31 b(but)j(is)g(rather)g(in)m
36062 (tended)0 3232 y(as)f(a)g(con)m(trast)h(to)e(the)i(more)e
36063 (sophisticated)h(sc)m(hemes)i(already)d(on)h(the)h(mark)m(et,)f(if)f
36064 (one)h(w)m(ould)g(lik)m(e)0 3340 y(to)d(understand)i(whether)g(the)g
36065 (kind)e(of)g(conserv)-5 b(ation)31 b(sc)m(heme)h(c)m(hosen)g(do)s(es)f
36066 (a\013ect)g(the)g(observ)-5 b(able)0 3448 y(ph)m(ysics.)0
36067 3722 y Fp(10.4)136 b(Routines)46 b(and)e(Common)i(Blo)t(c)l(k)e(V)-11
36068 b(ariables)0 3895 y Fw(In)32 b(this)g(section)h(w)m(e)g(collect)e
36069 (information)e(on)j(ho)m(w)h(to)e(use)j(the)e(initial-)c(and)k
36070 (\014nal-state)g(sho)m(w)m(ering)0 4003 y(routines.)43
36071 b(Of)30 b(these)i Fq(LUSHOW)g Fw(for)e(\014nal-state)g(radiation)e(is)j
36072 (the)g(more)f(generally)f(in)m(teresting,)i(since)0 4112
36073 y(it)k(can)h(b)s(e)g(called)f(to)h(let)f(a)h(user-de\014ned)h(parton)f
36074 (con\014guration)f(sho)m(w)m(er.)56 b Fq(PYSSPA)p Fw(,)37
36075 b(on)f(the)g(other)0 4220 y(hand,)j(is)f(so)g(in)m(tert)m(wined)g(with)
36076 f(the)h(general)g(structure)h(of)e(a)h Fm(Pythia)f Fw(ev)m(en)m(t)j
36077 (that)e(it)e(is)i(of)f(little)0 4328 y(use)d(as)e(a)h(stand-alone)e
36078 (pro)s(duct.)p 0 4473 1440 9 v 0 4698 9 225 v 79 4613
36079 a Fq(CALL)52 b(LUSHOW\(IP1,IP2,QMAX\))p 1432 4698 V 0
36080 4706 1440 9 v 0 4837 a Fo(Purp)s(ose:)c Fw(to)40 b(generate)h(time-lik)
36081 m(e)d(parton)i(sho)m(w)m(ers,)k(con)m(v)m(en)m(tional)d(or)f(coheren)m
36082 (t.)68 b(The)41 b(p)s(erfor-)472 4946 y(mance)29 b(of)f(the)g(program)f
36083 (is)h(regulated)g(b)m(y)h(the)g(switc)m(hes)h Fq(MSTJ\(40\))53
36084 b(-)f(MSTJ\(50\))30 b Fw(and)472 5054 y(parameters)37
36085 b Fq(PARJ\(81\))53 b(-)f(PARJ\(89\))p Fw(.)58 b(In)36
36086 b(order)h(to)f(k)m(eep)j(trac)m(k)e(of)f(the)h(colour)f(\015o)m(w)472
36087 5163 y(information,)e(the)h(p)s(ositions)g Fq(K\(I,4\))i
36088 Fw(and)e Fq(K\(I,5\))i Fw(ha)m(v)m(e)g(to)e(b)s(e)h(organized)f(prop)s
36089 (erly)472 5271 y(for)46 b(sho)m(w)m(ering)h(partons.)85
36090 b(Inside)47 b(the)g Fm(Jetset/Pythia)e Fw(programs,)k(this)d(is)g(done)
36091 472 5379 y(automatically)-8 b(,)30 b(but)i(for)g(external)h(use)h(prop)
36092 s(er)e(care)h(m)m(ust)g(b)s(e)g(tak)m(en.)0 5488 y Fq(IP1)52
36093 b(>)g(0,)f(IP2)h(=)g(0)g(:)47 b Fw(generate)c(a)f(time-lik)m(e)d
36094 (parton)j(sho)m(w)m(er)i(for)e(the)g(parton)g(in)g(line)e
36095 Fq(IP1)j Fw(in)472 5596 y(common)k(blo)s(c)m(k)g Fq(LUJETS)p
36096 Fw(,)j(with)d(maxim)m(um)e(allo)m(w)m(ed)i(mass)h Fq(QMAX)p
36097 Fw(.)h(With)e(only)g(one)1817 5953 y(206)p eop
36098 %%Page: 207 213
36099 207 212 bop 472 -18 a Fw(parton)31 b(at)e(hand,)j(one)e(cannot)h(sim)m
36100 (ultaneously)e(conserv)m(e)j(b)s(oth)e(energy)i(and)e(momen-)472
36101 90 y(tum:)51 b(w)m(e)37 b(here)g(c)m(ho)s(ose)h(to)e(conserv)m(e)i
36102 (energy)g(and)e(jet)g(direction,)h(while)e(longitudinal)472
36103 198 y(momen)m(tum)d(\(along)f(the)i(jet)f(axis\))h(is)f(not)g(conserv)m
36104 (ed.)0 307 y Fq(IP1)52 b(>)g(0,)f(IP2)h(>)g(0)g(:)47
36105 b Fw(generate)33 b(time-lik)m(e)d(parton)j(sho)m(w)m(ers)i(for)d(the)h
36106 (t)m(w)m(o)g(partons)g(in)f(lines)g Fq(IP1)472 415 y
36107 Fw(and)k Fq(IP2)g Fw(in)f(the)h(common)e(blo)s(c)m(k)h
36108 Fq(LUJETS)p Fw(,)i(with)e(maxim)m(um)e(allo)m(w)m(ed)i(mass)h(for)f
36109 (eac)m(h)472 523 y(parton)f Fq(QMAX)p Fw(.)i(F)-8 b(or)33
36110 b(sho)m(w)m(er)j(ev)m(olution,)e(the)h(t)m(w)m(o)g(partons)f(are)h(b)s
36111 (o)s(osted)f(to)g(their)g(c.m.)472 632 y(frame.)51 b(Energy)36
36112 b(and)f(momen)m(tum)f(is)g(conserv)m(ed)k(for)c(the)i(pair)e(of)h
36113 (partons,)h(although)472 740 y(not)29 b(for)g(eac)m(h)h(individually)-8
36114 b(.)39 b(One)30 b(of)f(the)g(t)m(w)m(o)h(partons)f(ma)m(y)g(b)s(e)h
36115 (replaced)f(b)m(y)h(a)f(nonra-)472 848 y(diating)i(particle,)g(suc)m(h)
36116 j(as)f(a)g(photon)f(or)g(a)h(diquark;)f(the)h(energy)h(and)f(momen)m
36117 (tum)e(of)472 957 y(this)25 b(particle)f(will)e(then)k(b)s(e)f(mo)s
36118 (di\014ed)e(to)i(conserv)m(e)i(the)e(total)f(energy)i(and)f(momen)m
36119 (tum.)0 1065 y Fq(IP1)52 b(>)g(0,)f(IP2)h(<)g(0)g(:)47
36120 b Fw(generate)29 b(time-lik)m(e)c(parton)j(sho)m(w)m(ers)i(for)e(the)g
36121 Fq(-IP2)h Fw(\(at)f(most)g(3\))f(partons)472 1173 y(in)37
36122 b(lines)g Fq(IP1)p Fw(,)j Fq(IP1+1)p Fw(,)g(.)16 b(.)g(.)g
36123 Fq(IPI-IP2-1)41 b Fw(in)36 b(the)i(common)f(blo)s(c)m(k)g
36124 Fq(LUJETS)p Fw(,)i(with)e(maxi-)472 1282 y(m)m(um)c(allo)m(w)m(ed)f
36125 (mass)i(for)e(eac)m(h)i(parton)g Fq(QMAX)p Fw(.)g(The)g(actions)f(for)g
36126 Fq(IP2=-1)i Fw(and)e Fq(IP2=-2)472 1390 y Fw(corresp)s(ond)j(to)e(what)
36127 g(is)g(describ)s(ed)i(ab)s(o)m(v)m(e,)f(but)g(additionally)e
36128 Fq(IP2=-3)i Fw(ma)m(y)g(b)s(e)f(used)472 1498 y(to)c(generate)g(the)h
36129 (ev)m(olution)d(starting)h(from)g(three)h(giv)m(en)g(partons)g(\(e.g.)
36130 43 b(in)29 b(\007)f Fn(!)f Fw(ggg)q(\).)472 1607 y(Then)38
36131 b(the)f(three)h(partons)f(are)f(b)s(o)s(osted)h(to)g(their)f(c.m.)55
36132 b(frame,)37 b(energy)h(is)e(conserv)m(ed)472 1715 y(for)c(eac)m(h)i
36133 (parton)e(individually)e(and)i(momen)m(tum)g(for)g(the)h(system)g(as)g
36134 (a)f(whole.)0 1823 y Fq(QMAX)52 b(:)165 b Fw(the)26 b(maxim)m(um)d
36135 (allo)m(w)m(ed)h(mass)h(of)g(a)g(radiating)e(parton,)j(i.e.)41
36136 b(the)26 b(starting)e(v)-5 b(alue)24 b(for)h(the)472
36137 1932 y(subsequen)m(t)k(ev)m(olution.)41 b(\(In)26 b(addition,)f(the)i
36138 (mass)f(of)f(a)h(single)e(parton)i(ma)m(y)g(not)f(exceed)472
36139 2040 y(its)j(energy)-8 b(,)29 b(the)f(mass)g(of)f(a)g(parton)h(in)f(a)g
36140 (system)i(ma)m(y)e(not)h(exceed)h(the)f(in)m(v)-5 b(arian)m(t)27
36141 b(mass)472 2148 y(of)33 b(the)g(system.\))0 2336 y Fq(SUBROUTINE)54
36142 b(PYSSPA\(IPU1,IPU2\))i(:)47 b Fw(to)25 b(generate)i(the)f(space-lik)m
36143 (e)f(sho)m(w)m(ers)j(of)d(the)h(initial-state)472 2444
36144 y(radiation.)p 0 2594 2876 9 v 0 2819 9 225 v 79 2734
36145 a Fq(COMMON/LUDAT1/MSTU\(200\),)q(PARU)q(\(200)q(\),MS)q(TJ\()q(200\))q
36146 (,PAR)q(J\(20)q(0\))p 2867 2819 V 0 2827 2876 9 v 0 2959
36147 a Fo(Purp)s(ose:)48 b Fw(to)31 b(giv)m(e)h(access)i(to)d(a)h(n)m(um)m
36148 (b)s(er)g(of)f(status)i(co)s(des)g(and)f(parameters)f(whic)m(h)i
36149 (regulate)e(the)472 3067 y(p)s(erformance)k(of)42 b Fm(Jetset)p
36150 Fw(.)50 b(Most)36 b(parameters)f(are)g(describ)s(ed)h(in)e(section)i
36151 (14.4;)g(here)472 3175 y(only)d(those)g(related)f(to)g
36152 Fq(LUSHOW)i Fw(are)f(describ)s(ed.)0 3338 y Fq(MSTJ\(40\))53
36153 b(:)48 b Fw(\(D=0\))27 b(p)s(ossibilit)m(y)f(to)i(suppress)i(the)f
36154 (branc)m(hing)f(probabilit)m(y)e(for)i(a)g(branc)m(hing)g(q)g
36155 Fn(!)472 3446 y Fw(qg)35 b(\(or)d(q)d Fn(!)f Fw(q)p Fj(\015)5
36156 b Fw(\))33 b(of)f(a)h(quark)h(pro)s(duced)f(in)g(the)g(deca)m(y)h(of)e
36157 (an)h(unstable)g(particle)f(with)472 3555 y(width)37
36158 b(\000,)h(where)g(this)f(width)f(has)i(to)e(b)s(e)h(sp)s(eci\014ed)h(b)
36159 m(y)g(the)f(user)h(in)e Fq(PARJ\(89\))p Fw(.)59 b(The)472
36160 3663 y(algorithm)24 b(used)k(is)f(not)g(exact,)i(but)e(still)e(giv)m
36161 (es)i(some)g(impression)f(of)h(p)s(oten)m(tial)e(e\013ects.)472
36162 3771 y(This)40 b(switc)m(h)g(ough)m(t)f(to)g(ha)m(v)m(e)i(app)s(eared)f
36163 (at)f(the)g(end)h(of)f(the)h(curren)m(t)g(list)e(of)h(sho)m(w)m(er)472
36164 3880 y(switc)m(hes)29 b(\(after)e Fq(MSTJ\(50\))p Fw(\),)k(but)c(b)s
36165 (ecause)i(of)e(lac)m(k)g(of)g(space)i(it)d(app)s(ears)i(immediately)472
36166 3988 y(b)s(efore.)236 4096 y Fq(=)52 b(0)f(:)217 b Fw(no)32
36167 b(suppression,)i(i.e.)43 b(the)33 b(standard)g(parton-sho)m(w)m(er)h
36168 (mac)m(hinery)-8 b(.)236 4205 y Fq(=)52 b(1)f(:)217 b
36169 Fw(suppress)50 b(radiation)45 b(b)m(y)k(a)e(factor)g
36170 Fj(\037)p Fw(\()p Fj(!)t Fw(\))53 b(=)g(\000)2534 4168
36171 y Fl(2)2574 4205 y Fj(=)p Fw(\(\000)2722 4168 y Fl(2)2793
36172 4205 y Fw(+)33 b Fj(!)2967 4168 y Fl(2)3005 4205 y Fw(\),)52
36173 b(where)d Fj(!)i Fw(is)c(the)709 4313 y(energy)30 b(of)g(the)g(gluon)e
36174 (\(or)i(photon\))f(in)g(the)h(rest)h(frame)d(of)i(the)g(radiating)d
36175 (dip)s(ole.)709 4421 y(Essen)m(tially)32 b(this)g(means)h(that)f(hard)h
36176 (radiation)d(with)i Fj(!)f(>)d Fw(\000)k(is)g(remo)m(v)m(ed.)236
36177 4530 y Fq(=)52 b(2)f(:)217 b Fw(suppress)37 b(radiation)c(b)m(y)j(a)f
36178 (factor)f(1)24 b Fn(\000)g Fj(\037)p Fw(\()p Fj(!)t Fw(\))31
36179 b(=)h Fj(!)2606 4494 y Fl(2)2645 4530 y Fj(=)p Fw(\(\000)2793
36180 4494 y Fl(2)2856 4530 y Fw(+)23 b Fj(!)3020 4494 y Fl(2)3059
36181 4530 y Fw(\),)36 b(where)g Fj(!)i Fw(is)d(the)709 4638
36182 y(energy)30 b(of)g(the)g(gluon)e(\(or)i(photon\))f(in)g(the)h(rest)h
36183 (frame)d(of)i(the)g(radiating)d(dip)s(ole.)709 4746 y(Essen)m(tially)32
36184 b(this)g(means)h(that)f(soft)h(radiation)d(with)i Fj(!)f(<)d
36185 Fw(\000)k(is)g(remo)m(v)m(ed.)0 4855 y Fq(MSTJ\(41\))53
36186 b(:)48 b Fw(\(D=2\))31 b(t)m(yp)s(e)j(of)e(branc)m(hings)h(allo)m(w)m
36187 (ed)f(in)g(sho)m(w)m(er.)236 4963 y Fq(=)52 b(0)f(:)217
36188 b Fw(no)32 b(branc)m(hings)h(at)f(all,)f(i.e.)43 b(sho)m(w)m(er)34
36189 b(is)e(switc)m(hed)i(o\013.)236 5071 y Fq(=)52 b(1)f(:)217
36190 b Fw(QCD)32 b(t)m(yp)s(e)h(branc)m(hings)g(of)g(quarks)g(and)g(gluons.)
36191 236 5180 y Fq(=)52 b(2)f(:)217 b Fw(also)26 b(emission)f(of)i(photons)g
36192 (o\013)f(quarks)i(and)f(leptons;)i(the)f(photons)f(are)g(assumed)709
36193 5288 y(on)32 b(the)h(mass)g(shell.)236 5396 y Fq(=)52
36194 b(10)g(:)165 b Fw(as)36 b Fq(=2)p Fw(,)h(but)f(enhance)i(photon)d
36195 (emission)g(b)m(y)i(a)e(factor)h Fq(PARJ\(84\))p Fw(.)55
36196 b(This)37 b(option)709 5505 y(is)h(unph)m(ysical,)k(but)d(for)g(mo)s
36197 (derate)f(v)-5 b(alues,)41 b Fq(PARJ\(84\))p Fn(\024)g
36198 Fw(10,)g(it)d(ma)m(y)h(b)s(e)g(used)709 5613 y(to)29
36199 b(enhance)j(the)f(prompt)e(photon)h(signal)f(in)g(q)p
36200 2472 5560 52 4 v(q)i(ev)m(en)m(ts.)45 b(The)32 b(normalization)26
36201 b(of)1817 5953 y(207)p eop
36202 %%Page: 208 214
36203 208 213 bop 709 -18 a Fw(the)32 b(prompt)f(photon)i(rate)f(should)f
36204 (then)i(b)s(e)f(scaled)h(do)m(wn)g(b)m(y)f(the)h(same)f(factor.)709
36205 90 y(The)e(dangers)h(of)e(an)h(improp)s(er)e(use)j(are)f(signi\014can)m
36206 (t,)g(so)g(do)g(not)f(use)i(this)f(option)709 198 y(if)h(y)m(ou)i(do)g
36207 (not)f(kno)m(w)i(what)f(y)m(ou)g(are)g(doing.)0 307 y
36208 Fq(MSTJ\(42\))53 b(:)48 b Fw(\(D=2\))31 b(branc)m(hing)i(mo)s(de)f(for)
36209 g(time-lik)m(e)e(sho)m(w)m(ers.)236 415 y Fq(=)52 b(1)f(:)217
36210 b Fw(con)m(v)m(en)m(tional)32 b(branc)m(hing,)h(i.e.)43
36211 b(without)32 b(angular)f(ordering.)236 523 y Fq(=)52
36212 b(2)f(:)217 b Fw(coheren)m(t)34 b(branc)m(hing,)e(i.e.)43
36213 b(with)32 b(angular)g(ordering.)0 632 y Fq(MSTJ\(43\))53
36214 b(:)48 b Fw(\(D=4\))31 b(c)m(hoice)i(of)f Fj(z)38 b Fw(de\014nition)31
36215 b(in)h(branc)m(hing.)236 740 y Fq(=)52 b(1)f(:)217 b
36216 Fw(energy)33 b(fraction)f(in)f(grandmother's)i(rest)g(frame)f(\(`lo)s
36217 (cal,)e(constrained'\).)236 848 y Fq(=)52 b(2)f(:)217
36218 b Fw(energy)24 b(fraction)d(in)h(grandmother's)h(rest)h(frame)e
36219 (assuming)g(massless)h(daugh)m(ters,)709 957 y(with)39
36220 b(energy)h(and)g(momen)m(tum)e(resh)m(u\017ed)j(for)e(massiv)m(e)h
36221 (ones)g(\(`lo)s(cal,)f(uncon-)709 1065 y(strained'\).)236
36222 1173 y Fq(=)52 b(3)f(:)217 b Fw(energy)45 b(fraction)f(in)g(c.m.)80
36223 b(frame)43 b(of)i(the)g(sho)m(w)m(ering)g(partons)g(\(`global,)h(con-)
36224 709 1282 y(strained'\).)236 1390 y Fq(=)52 b(4)f(:)217
36225 b Fw(energy)37 b(fraction)e(in)g(c.m.)54 b(frame)36 b(of)g(the)g(sho)m
36226 (w)m(ering)h(partons)g(assuming)e(mass-)709 1498 y(less)j(daugh)m
36227 (ters,)j(with)c(energy)j(and)e(momen)m(tum)f(resh)m(u\017ed)j(for)d
36228 (massiv)m(e)i(ones)709 1607 y(\(`global,)30 b(unconstrained'\).)0
36229 1715 y Fq(MSTJ\(44\))53 b(:)48 b Fw(\(D=2\))31 b(c)m(hoice)i(of)f
36230 Fj(\013)1330 1730 y Fl(s)1395 1715 y Fw(scale)h(for)f(sho)m(w)m(er.)236
36231 1823 y Fq(=)52 b(0)f(:)217 b Fw(\014xed)33 b(at)g Fq(PARU\(111\))i
36232 Fw(v)-5 b(alue.)236 1932 y Fq(=)52 b(1)f(:)217 b Fw(running)42
36233 b(with)g Fj(Q)1391 1896 y Fl(2)1476 1932 y Fw(=)i Fj(m)1681
36234 1896 y Fl(2)1721 1932 y Fj(=)p Fw(4,)h Fj(m)e Fw(mass)f(of)h(deca)m
36235 (ying)g(parton,)i(\003)d(as)h(stored)g(in)709 2040 y
36236 Fq(PARJ\(81\))34 b Fw(\(natural)e(c)m(hoice)h(for)f(con)m(v)m(en)m
36237 (tional)g(sho)m(w)m(ers\).)236 2148 y Fq(=)52 b(2)f(:)217
36238 b Fw(running)30 b(with)g Fj(Q)1367 2112 y Fl(2)1434 2148
36239 y Fw(=)e Fj(z)t Fw(\(1)18 b Fn(\000)g Fj(z)t Fw(\))p
36240 Fj(m)1959 2112 y Fl(2)2000 2148 y Fw(,)31 b(i.e.)42 b(roughly)30
36241 b Fj(p)2627 2112 y Fl(2)2627 2173 y Fk(?)2716 2148 y
36242 Fw(of)g(branc)m(hing,)h(\003)f(as)h(stored)709 2257 y(in)g
36243 Fq(PARJ\(81\))k Fw(\(natural)c(c)m(hoice)i(for)f(coheren)m(t)i(sho)m(w)
36244 m(ers\).)0 2365 y Fq(MSTJ\(45\))53 b(:)48 b Fw(\(D=5\))37
36245 b(maxim)m(um)f(\015a)m(v)m(our)j(that)f(can)h(b)s(e)g(pro)s(duced)g(in)
36246 e(sho)m(w)m(er)j(b)m(y)g(g)e Fn(!)f Fw(q)p 3496 2312
36247 52 4 v(q)q(;)k(also)472 2473 y(used)35 b(to)e(determine)g(the)g(maxim)m
36248 (um)e(n)m(um)m(b)s(er)j(of)f(activ)m(e)g(\015a)m(v)m(ours)i(in)d(the)i
36249 Fj(\013)3353 2488 y Fl(s)3418 2473 y Fw(factor)f(in)472
36250 2582 y(parton)g(sho)m(w)m(ers)i(\(here)e(with)f(a)g(minim)m(um)e(of)i
36251 (3\).)0 2690 y Fq(MSTJ\(46\))53 b(:)48 b Fw(\(D=3\))22
36252 b(nonhomogeneous)h(azim)m(uthal)e(distributions)g(in)h(a)h(sho)m(w)m
36253 (er)i(branc)m(hing.)236 2798 y Fq(=)52 b(0)f(:)217 b
36254 Fw(azim)m(uthal)30 b(angle)i(is)g(c)m(hosen)i(uniformly)-8
36255 b(.)236 2907 y Fq(=)52 b(1)f(:)217 b Fw(nonhomogeneous)38
36256 b(azim)m(uthal)e(angle)i(in)f(gluon)g(deca)m(ys)j(due)f(to)f(a)g
36257 (kinematics-)709 3015 y(dep)s(enden)m(t)31 b(e\013ectiv)m(e)f(gluon)e
36258 (p)s(olarization.)40 b(Not)29 b(meaningful)e(for)h(scalar)h(mo)s(del,)
36259 709 3123 y(i.e.)43 b(then)33 b(same)f(as)h Fq(=0)p Fw(.)236
36260 3232 y Fq(=)52 b(2)f(:)217 b Fw(nonhomogeneous)26 b(azim)m(uthal)e
36261 (angle)h(in)g(gluon)g(deca)m(y)i(due)g(to)f(in)m(terference)h(with)709
36262 3340 y(nearest)43 b(neigh)m(b)s(our)f(\(in)g(colour\).)72
36263 b(Not)42 b(meaningful)f(for)g(Ab)s(elian)g(mo)s(del,)j(i.e.)709
36264 3448 y(then)33 b(same)f(as)h Fq(=0)p Fw(.)236 3557 y
36265 Fq(=)52 b(3)f(:)217 b Fw(nonhomogeneous)23 b(azim)m(uthal)f(angle)h(in)
36266 g(gluon)f(deca)m(y)j(due)f(to)f(b)s(oth)h(p)s(olarization)709
36267 3665 y(\()p Fq(=1)p Fw(\))34 b(and)f(in)m(terference)i(\()p
36268 Fq(=2)p Fw(\).)47 b(Not)34 b(meaningful)d(for)i(Ab)s(elian)f(mo)s(del,)
36269 h(i.e.)46 b(then)709 3774 y(same)32 b(as)h Fq(=1)p Fw(.)44
36270 b(Not)32 b(meaningful)e(for)j(scalar)e(mo)s(del,)g(i.e.)43
36271 b(then)34 b(same)e(as)h Fq(=2)p Fw(.)0 3882 y Fq(MSTJ\(47\))53
36272 b(:)48 b Fw(\(D=3\))g(corrections)h(to)f(the)h(lo)m(w)m(est-order)g(q)p
36273 2328 3829 V(q)q(g)q(,)k(q)p 2561 3829 V(q)q Fj(\015)5
36274 b Fw(,)53 b Fj(`)2790 3846 y Fl(+)2849 3882 y Fj(`)2890
36275 3846 y Fk(\000)2949 3882 y Fj(\015)h Fw(or)49 b Fj(`\027)3279
36276 3897 y Fh(`)3312 3882 y Fj(\015)k Fw(3-parton)472 3990
36277 y(matrix)27 b(elemen)m(t)h(at)f(the)i(\014rst)f(branc)m(hing)g(of)f
36278 (either)h(initial)c(parton)k(in)f(a)h(sho)m(w)m(er.)236
36279 4099 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(corrections.)236
36280 4207 y Fq(=)52 b(1)f(:)217 b Fw(included)32 b(whenev)m(er)j(scattered)f
36281 (partons)f(are)f(q)p 2511 4154 V(q)q(,)h Fj(`)2664 4171
36282 y Fl(+)2723 4207 y Fj(`)2764 4171 y Fk(\000)2855 4207
36283 y Fw(or)f Fj(`\027)3063 4222 y Fh(`)3097 4207 y Fw(.)236
36284 4315 y Fq(=)52 b(2)f(:)217 b Fw(alw)m(a)m(ys)33 b(included)f(when)i
36285 (sho)m(w)m(er)g(starts)f(from)e(t)m(w)m(o)j(partons.)236
36286 4424 y Fq(=)52 b(3)f(:)217 b Fw(as)42 b Fq(=1)h Fw(except)h(that)e(for)
36287 g(massiv)m(e)h(quarks)h(also)d(the)i(massiv)m(e)g(matrix)e(elemen)m(t)
36288 709 4532 y(expression)32 b(is)f(used,)i(eq.)g(\(30\),)e(while)f
36289 Fq(=1)i Fw(is)f(alw)m(a)m(ys)h(based)h(on)e(massless)h(matrix)709
36290 4640 y(elemen)m(ts.)236 4749 y Fq(=)52 b(4)f(:)217 b
36291 Fw(as)42 b Fq(=2)h Fw(except)h(that)e(for)g(massiv)m(e)h(quarks)h(also)
36292 d(the)i(massiv)m(e)g(matrix)e(elemen)m(t)709 4857 y(expression)29
36293 b(is)e(used,)j(while)d Fq(=2)h Fw(is)g(alw)m(a)m(ys)g(based)h(on)f
36294 (massless)g(matrix)e(elemen)m(ts.)0 4965 y Fq(MSTJ\(48\))53
36295 b(:)48 b Fw(\(D=0\))e(p)s(ossibilit)m(y)e(to)j(imp)s(ose)f(maxim)m(um)e
36296 (angle)i(for)g(the)i(\014rst)f(branc)m(hing)g(in)f(a)472
36297 5074 y(sho)m(w)m(er.)236 5182 y Fq(=)52 b(0)f(:)217 b
36298 Fw(no)32 b(explicit)f(maxim)m(um)g(angle.)236 5290 y
36299 Fq(=)52 b(1)f(:)217 b Fw(maxim)m(um)53 b(angle)h(giv)m(en)i(b)m(y)i
36300 Fq(PARJ\(85\))f Fw(for)e(single)f(sho)m(w)m(ering)j(parton,)k(b)m(y)709
36301 5399 y Fq(PARJ\(85\))34 b Fw(and)f Fq(PARJ\(86\))i Fw(for)d(pair)f(of)h
36302 (sho)m(w)m(ering)i(partons.)0 5507 y Fq(MSTJ\(49\))53
36303 b(:)48 b Fw(\(D=0\))38 b(p)s(ossibilit)m(y)e(to)j(c)m(hange)h(the)f
36304 (branc)m(hing)g(probabilities)d(according)i(to)h(some)472
36305 5615 y(alternativ)m(e)31 b(to)m(y)h(mo)s(dels)e(\(note)i(that)f(the)h
36306 Fj(Q)2161 5579 y Fl(2)2232 5615 y Fw(ev)m(olution)e(of)h
36307 Fj(\013)2825 5630 y Fl(s)2889 5615 y Fw(ma)m(y)g(w)m(ell)g(b)s(e)g
36308 (di\013eren)m(t)1817 5953 y(208)p eop
36309 %%Page: 209 215
36310 209 214 bop 472 -18 a Fw(in)30 b(these)h(mo)s(dels,)e(but)h(that)g
36311 (only)f(the)h Fq(MSTJ\(44\))i Fw(options)d(are)h(at)g(the)g(disp)s
36312 (osal)f(of)g(the)472 90 y(user\).)236 198 y Fq(=)52 b(0)f(:)217
36313 b Fw(standard)33 b(QCD)f(branc)m(hings.)236 307 y Fq(=)52
36314 b(1)f(:)217 b Fw(branc)m(hings)37 b(according)g(to)g(a)g(scalar)g
36315 (gluon)f(theory)-8 b(,)39 b(i.e.)58 b(the)37 b(splitting)e(k)m(ernels)
36316 709 415 y(in)h(the)i(ev)m(olution)f(equations)h(are,)h(with)e(a)g
36317 (common)f(factor)h Fj(\013)3120 430 y Fl(s)3152 415 y
36318 Fj(=)p Fw(\(2)p Fj(\031)t Fw(\))g(omitted,)709 523 y
36319 Fj(P)772 538 y Fl(q)p Fk(!)p Fl(qg)992 523 y Fw(=)d(\(2)p
36320 Fj(=)p Fw(3\)\(1)24 b Fn(\000)i Fj(z)t Fw(\),)38 b Fj(P)1754
36321 538 y Fl(g)q Fk(!)p Fl(gg)1971 523 y Fw(=)f Fq(PARJ\(87\))p
36322 Fw(,)j Fj(P)2622 538 y Fl(g)q Fk(!)p Fl(q)p 2766 500
36323 38 4 v(q)2842 523 y Fw(=)d Fq(PARJ\(88\))h Fw(\(for)f(eac)m(h)709
36324 632 y(separate)f(\015a)m(v)m(our\).)54 b(The)37 b(couplings)e(of)g(the)
36325 h(gluon)f(ha)m(v)m(e)i(b)s(een)g(left)e(as)h(free)g(pa-)709
36326 740 y(rameters,)29 b(since)f(they)i(dep)s(end)f(on)f(the)h(colour)e
36327 (structure)i(assumed.)43 b(Note)29 b(that,)709 848 y(since)g(a)g(spin)h
36328 (0)f(ob)5 b(ject)30 b(deca)m(ys)h(isotropically)-8 b(,)27
36329 b(the)j(gluon)e(splitting)f(k)m(ernels)k(con-)709 957
36330 y(tain)g(no)i Fj(z)k Fw(dep)s(endence.)236 1065 y Fq(=)52
36331 b(2)f(:)217 b Fw(branc)m(hings)36 b(according)g(to)g(an)g(Ab)s(elian)e
36332 (v)m(ector)j(gluon)f(theory)-8 b(,)37 b(i.e.)54 b(the)36
36333 b(colour)709 1173 y(factors)e(are)g(c)m(hanged)h(\(compared)f(with)g
36334 (QCD\))g(according)f(to)h Fj(C)3202 1188 y Fh(F)3291
36335 1173 y Fw(=)c(4)p Fj(=)p Fw(3)g Fn(!)g Fw(1,)709 1282
36336 y Fj(N)787 1297 y Fh(C)898 1282 y Fw(=)53 b(3)f Fn(!)g
36337 Fw(0,)f Fj(T)1464 1297 y Fh(R)1575 1282 y Fw(=)h(1)p
36338 Fj(=)p Fw(2)g Fn(!)g Fw(3.)87 b(Note)48 b(that)f(an)g(Ab)s(elian)e(mo)s
36339 (del)h(is)h(not)709 1390 y(exp)s(ected)c(to)e(con)m(tain)g(an)m(y)h
36340 (coherence)i(e\013ects)e(b)s(et)m(w)m(een)i(gluons,)f(so)f(that)f(one)
36341 709 1498 y(should)47 b(normally)e(use)j Fq(MSTJ\(42\)=1)i
36342 Fw(and)e Fq(MSTJ\(46\)=)h Fw(0)e(or)g(1.)88 b(Also,)51
36343 b Fj(\013)3635 1513 y Fl(s)3714 1498 y Fw(is)709 1607
36344 y(exp)s(ected)36 b(to)e(increase)h(with)f(increasing)g
36345 Fj(Q)2368 1571 y Fl(2)2442 1607 y Fw(scale,)h(rather)f(than)h
36346 (decrease.)51 b(No)709 1715 y(suc)m(h)29 b Fj(\013)986
36347 1730 y Fl(s)1045 1715 y Fw(option)e(is)g(a)m(v)-5 b(ailable;)27
36348 b(the)h(one)g(that)f(comes)h(closest)g(is)g Fq(MSTJ\(44\)=0)p
36349 Fw(,)j(i.e.)709 1823 y(a)h(\014x)h(v)-5 b(alue.)0 1932
36350 y Fq(MSTJ\(50\))53 b(:)48 b Fw(\(D=3\))27 b(p)s(ossibilit)m(y)g(to)h
36351 (in)m(tro)s(duce)g(colour)g(coherence)i(e\013ects)g(in)e(the)h(\014rst)
36352 g(branc)m(hing)472 2040 y(of)j(a)f(\014nal)h(state)g(sho)m(w)m(er;)i
36353 (mainly)c(of)h(relev)-5 b(ance)32 b(for)g(QCD)f(parton{parton)h
36354 (scattering)472 2148 y(pro)s(cesses.)236 2257 y Fq(=)52
36355 b(0)f(:)217 b Fw(none.)236 2365 y Fq(=)52 b(1)f(:)217
36356 b Fw(imp)s(ose)31 b(an)i(azim)m(uthal)d(anisotrop)m(y)-8
36357 b(.)236 2473 y Fq(=)52 b(2)f(:)217 b Fw(restrict)36 b(the)g(p)s(olar)e
36358 (ange)i(of)g(a)f(branc)m(hing)h(to)f(b)s(e)i(smaller)c(than)j(the)h
36359 (scattering)709 2582 y(angle)31 b(of)h(the)h(relev)-5
36360 b(an)m(t)33 b(colour)f(\015o)m(w.)236 2690 y Fq(=)52
36361 b(3)f(:)217 b Fw(b)s(oth)32 b(azim)m(uthal)f(anisotrop)m(y)h(and)h
36362 (restricted)g(p)s(olar)e(angles.)236 2798 y Fo(Note:)203
36363 b Fw(for)53 b(subsequen)m(t)k(branc)m(hings)e(the)f(\(p)s(olar\))f
36364 (angular)g(ordering)g(is)g(automatic)709 2907 y(\()p
36365 Fq(MSTP\(42\)=2)p Fw(\))35 b(and)d Fq(MSTJ\(46\)=3)p
36366 Fw(\).)0 3069 y Fq(PARJ\(81\))53 b(:)48 b Fw(\(D=0.29)41
36367 b(GeV\))i(\003)g(v)-5 b(alue)42 b(in)g(running)h Fj(\013)2171
36368 3084 y Fl(s)2245 3069 y Fw(for)g(parton)f(sho)m(w)m(ers)j(\(see)f
36369 Fq(MSTJ\(44\))p Fw(\).)472 3178 y(This)29 b(is)f(used)h(in)e(all)f
36370 (user)j(calls)e(to)h Fq(LUSHOW)p Fw(,)i(in)e(the)g(e)2452
36371 3141 y Fl(+)2512 3178 y Fw(e)2555 3141 y Fk(\000)2642
36372 3178 y Fw(routines)g(of)35 b Fm(Jetset)p Fw(,)28 b(and)g(in)472
36373 3286 y(a)35 b Fm(Pythia)f Fw(\(or)h Fm(Jetset)p Fw(\))e(resonance)j
36374 (deca)m(y)-8 b(.)50 b(It)35 b(is)f(not)h(in)m(tended)g(for)f(other)h
36375 (timelik)m(e)472 3394 y(sho)m(w)m(ers)g(in)d Fm(Pythia)p
36376 Fw(,)h(ho)m(w)m(ev)m(er,)i(for)d(whic)m(h)h Fq(PARP\(72\))i
36377 Fw(is)d(used.)0 3503 y Fq(PARJ\(82\))53 b(:)48 b Fw(\(D=1.0)39
36378 b(GeV\))i(in)m(v)-5 b(arian)m(t)39 b(mass)i(cut-o\013)f
36379 Fj(m)2249 3518 y Fl(min)2411 3503 y Fw(of)g(parton)h(sho)m(w)m(ers,)k
36380 (b)s(elo)m(w)40 b(whic)m(h)472 3611 y(partons)d(are)e(not)h(assumed)h
36381 (to)e(radiate.)53 b(F)-8 b(or)35 b Fj(Q)2322 3575 y Fl(2)2395
36382 3611 y Fw(=)e Fj(p)2553 3575 y Fl(2)2553 3636 y Fk(?)2648
36383 3611 y Fw(\()p Fq(MSTJ\(44\)=2)p Fw(\))38 b Fq(PARJ\(82\))p
36384 Fw(/2)472 3719 y(additionally)26 b(giv)m(es)j(the)h(minim)m(um)25
36385 b Fj(p)1889 3734 y Fk(?)1977 3719 y Fw(of)j(a)h(branc)m(hing.)42
36386 b(T)-8 b(o)29 b(a)m(v)m(oid)g(in\014nite)f Fj(\013)3434
36387 3734 y Fl(s)3494 3719 y Fw(v)-5 b(alues,)472 3828 y(one)24
36388 b(m)m(ust)f(ha)m(v)m(e)i Fq(PARJ\(82\))p Fj(>)k Fw(2)p
36389 Fn(\002)p Fq(PARJ\(81\))d Fw(for)c Fq(MSTJ\(44\))p Fn(\025)31
36390 b Fw(1)23 b(\(this)f(is)h(automatically)472 3936 y(c)m(hec)m(k)m(ed)36
36391 b(in)c(the)h(program,)e(with)h(2)p Fj(:)p Fw(2)p Fn(\002)p
36392 Fq(PARJ\(81\))j Fw(as)e(the)g(lo)m(w)m(est)g(v)-5 b(alue)32
36393 b(attainable\).)0 4044 y Fq(PARJ\(83\))53 b(:)48 b Fw(\(D=1.0)25
36394 b(GeV\))h(in)m(v)-5 b(arian)m(t)24 b(mass)i(cut-o\013)g
36395 Fj(m)2176 4059 y Fl(min)2323 4044 y Fw(used)i(for)d(photon)h(emission)f
36396 (in)g(parton)472 4153 y(sho)m(w)m(ers,)49 b(b)s(elo)m(w)43
36397 b(whic)m(h)h(quarks)g(and)f(leptons)h(are)f(not)g(assumed)h(to)f
36398 (radiate.)75 b(The)472 4261 y(function)33 b(of)40 b Fq(PARJ\(83\))35
36399 b Fw(closely)e(parallels)e(that)i(of)40 b Fq(PARJ\(82\))35
36400 b Fw(for)e(QCD)g(branc)m(hings,)472 4369 y(but)g(there)h(is)e(a)g
36401 (priori)f(no)h(requiremen)m(t)h(that)f(the)h(t)m(w)m(o)h(b)s(e)e
36402 (equal.)0 4478 y Fq(PARJ\(84\))53 b(:)48 b Fw(\(D=1.\))41
36403 b(used)31 b(for)e(option)f Fq(MSTJ\(41\)=10)33 b Fw(as)c(a)g(m)m
36404 (ultiplicativ)m(e)d(factor)j(in)g(the)h(prom)m(t)472
36405 4586 y(photon)48 b(emission)e(rate)h(in)f(\014nal)h(state)h(parton)f
36406 (sho)m(w)m(ers.)89 b(Unph)m(ysical)48 b(but)f(useful)472
36407 4694 y(tec)m(hnical)33 b(tric)m(k,)f(so)h(b)s(ew)m(are!)0
36408 4803 y Fq(PARJ\(85\),)54 b(PARJ\(86\))f(:)48 b Fw(\(D=10.,10.\))125
36409 b(maxim)m(um)58 b(op)s(ening)h(angles)h(allo)m(w)m(ed)g(in)f(the)i
36410 (\014rst)472 4911 y(branc)m(hing)33 b(of)f(parton)g(sho)m(w)m(ers;)j
36411 (see)f Fq(MSTJ\(48\))p Fw(.)0 5019 y Fq(PARJ\(87\))53
36412 b(:)48 b Fw(\(D=0.\))42 b(coupling)32 b(of)g(g)c Fn(!)g
36413 Fw(gg)33 b(in)f(scalar)g(gluon)f(sho)m(w)m(er,)k(see)f
36414 Fq(MSTJ\(49\)=1)p Fw(.)0 5128 y Fq(PARJ\(88\))53 b(:)48
36415 b Fw(\(D=0.\))53 b(coupling)34 b(of)i(g)e Fn(!)f Fw(q)p
36416 1691 5075 52 4 v(q)k(in)f(scalar)f(gluon)g(sho)m(w)m(er)j(\(p)s(er)e
36417 (quark)g(sp)s(ecies\),)i(see)472 5236 y Fq(MSTJ\(49\)=1)p
36418 Fw(.)0 5344 y Fq(PARJ\(89\))53 b(:)48 b Fw(\(D=0.)d(GeV\))33
36419 b(the)h(width)f(of)g(the)h(unstable)f(particle)f(studied)i(for)f(the)h
36420 Fq(MSTJ\(40\))53 b(>)472 5453 y(0)33 b Fw(options;)f(to)h(b)s(e)f(set)i
36421 (b)m(y)f(the)g(user)h(\(separately)e(for)g(eac)m(h)i
36422 Fq(LUSHOW)g Fw(call,)d(if)g(need)j(b)s(e\).)1817 5953
36423 y(209)p eop
36424 %%Page: 210 216
36425 210 215 bop 0 -110 2876 9 v 0 115 9 225 v 79 30 a Fq
36426 (COMMON/PYPARS/MSTP\(200\),)q(PARP)q(\(200)q(\),MS)q(TI\()q(200\))q
36427 (,PAR)q(I\(20)q(0\))p 2867 115 V 0 123 2876 9 v 0 255
36428 a Fo(Purp)s(ose:)48 b Fw(to)34 b(giv)m(e)g(access)i(to)e(status)h(co)s
36429 (de)f(and)h(parameters)f(whic)m(h)h(regulate)e(the)i(p)s(erformance)472
36430 363 y(of)51 b Fm(Pythia)p Fw(.)78 b(Most)45 b(parameters)f(are)g
36431 (describ)s(ed)h(in)e(section)h(9.3;)49 b(here)c(only)f(those)472
36432 472 y(related)33 b(to)f Fq(PYSSPA)i Fw(and)f Fq(LUSHOW)h
36433 Fw(are)e(describ)s(ed.)0 580 y Fq(MSTP\(22\))53 b(:)48
36434 b Fw(\(D=0\))27 b(sp)s(ecial)f(o)m(v)m(erride)j(of)e(normal)f
36435 Fj(Q)2051 544 y Fl(2)2118 580 y Fw(de\014nition)h(used)h(for)g(maxim)m
36436 (um)d(of)i(parton-)472 688 y(sho)m(w)m(er)35 b(ev)m(olution.)42
36437 b(This)33 b(option)f(only)g(a\013ects)h(pro)s(cesses)i(10)d(and)g(83)h
36438 (\(deep)g(inelastic)472 797 y(scattering\))g(and)f(only)g(in)g
36439 (lepton{hadron)g(ev)m(en)m(ts.)236 905 y Fq(=)52 b(0)f(:)217
36440 b Fw(use)33 b(the)g(scale)g(as)g(giv)m(en)f(in)g Fq(MSTP\(32\))p
36441 Fw(.)236 1013 y Fq(=)52 b(1)f(:)217 b Fw(use)33 b(the)g(DIS)g
36442 Fj(Q)1319 977 y Fl(2)1391 1013 y Fw(scale,)f(i.e.)44
36443 b Fn(\000)1898 995 y Fw(^)1897 1013 y Fj(t)p Fw(.)236
36444 1122 y Fq(=)52 b(2)f(:)217 b Fw(use)33 b(the)g(DIS)g
36445 Fj(W)1348 1085 y Fl(2)1419 1122 y Fw(scale,)g(i.e.)43
36446 b(\()p Fn(\000)1964 1103 y Fw(^)1963 1122 y Fj(t)q Fw(\)\(1)21
36447 b Fn(\000)i Fj(x)p Fw(\))p Fj(=x)p Fw(.)236 1262 y Fq(=)52
36448 b(3)f(:)217 b Fw(use)33 b(the)g(DIS)g Fj(Q)22 b Fn(\002)h
36449 Fj(W)46 b Fw(scale,)32 b(i.e.)43 b(\()p Fn(\000)2123
36450 1243 y Fw(^)2122 1262 y Fj(t)q Fw(\))2196 1162 y Fg(q)p
36451 2279 1162 407 4 v 100 x Fw(\(1)22 b Fn(\000)h Fj(x)p
36452 Fw(\))p Fj(=x)p Fw(.)236 1395 y Fq(=)52 b(4)f(:)217 b
36453 Fw(use)25 b(the)g(scale)f Fj(Q)1331 1359 y Fl(2)1370
36454 1395 y Fw(\(1)5 b Fn(\000)g Fj(x)p Fw(\))17 b(max\(1)p
36455 Fj(;)g Fw(ln)o(\(1)p Fj(=x)p Fw(\)\),)26 b(as)e(motiv)-5
36456 b(ated)23 b(b)m(y)i(\014rst)g(order)f(matrix)709 1503
36457 y(elemen)m(ts)33 b([Ing80)o(,)g(Alt78)o(].)236 1612 y
36458 Fo(Note:)203 b Fw(in)55 b(all)f(of)i(these)i(alternativ)m(es,)k(a)56
36459 b(m)m(ultiplicativ)m(e)c(factor)k(is)g(in)m(tro)s(duced)h(b)m(y)709
36460 1720 y Fq(PARP\(67\))34 b Fw(and)f Fq(PARP\(71\))p Fw(,)i(as)d(usual.)0
36461 1828 y Fq(MSTP\(61\))53 b(:)48 b Fw(\(D=1\))31 b(master)i(switc)m(h)g
36462 (for)f(initial-state)d(QCD)j(and)h(QED)f(radiation.)236
36463 1937 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)236 2045 y Fq(=)52
36464 b(1)f(:)217 b Fw(on.)0 2153 y Fq(MSTP\(62\))53 b(:)48
36465 b Fw(\(D=3\))d(lev)m(el)g(of)h(coherence)h(imp)s(osed)e(on)h(the)g
36466 (space-lik)m(e)g(parton-sho)m(w)m(er)h(ev)m(olu-)472
36467 2262 y(tion.)236 2370 y Fq(=)52 b(1)f(:)217 b Fw(none,)33
36468 b(i.e.)43 b(neither)32 b Fj(Q)1544 2334 y Fl(2)1617 2370
36469 y Fw(v)-5 b(alues)32 b(nor)g(angles)h(need)g(b)s(e)g(ordered.)236
36470 2478 y Fq(=)52 b(2)f(:)217 b Fj(Q)786 2442 y Fl(2)863
36471 2478 y Fw(v)-5 b(alues)37 b(at)g(branc)m(hes)i(are)f(strictly)e
36472 (ordered,)k(increasing)c(to)m(w)m(ards)j(the)e(hard)709
36473 2587 y(in)m(teraction.)236 2695 y Fq(=)52 b(3)f(:)217
36474 b Fj(Q)786 2659 y Fl(2)853 2695 y Fw(v)-5 b(alues)27
36475 b(and)g(op)s(ening)f(angles)h(of)g(emitted)f(\(on-mass-shell)g(or)g
36476 (time-lik)m(e\))f(par-)709 2803 y(tons)33 b(are)f(b)s(oth)g(strictly)g
36477 (ordered,)i(increasing)d(to)m(w)m(ards)j(the)f(hard)g(in)m(teraction.)0
36478 2912 y Fq(MSTP\(63\))53 b(:)48 b Fw(\(D=2\))41 b(structure)j(of)e(asso)
36479 s(ciated)h(time-lik)m(e)d(sho)m(w)m(ers,)47 b(i.e.)73
36480 b(sho)m(w)m(ers)44 b(initiated)d(b)m(y)472 3020 y(emission)32
36481 b(o\013)g(the)h(incoming)d(space-lik)m(e)j(partons.)236
36482 3128 y Fq(=)52 b(0)f(:)217 b Fw(no)39 b(asso)s(ciated)f(sho)m(w)m(ers)k
36483 (are)d(allo)m(w)m(ed,)g(i.e.)63 b(emitted)38 b(partons)h(are)g(put)g
36484 (on)g(the)709 3237 y(mass)32 b(shell.)236 3345 y Fq(=)52
36485 b(1)f(:)217 b Fw(a)35 b(sho)m(w)m(er)h(ma)m(y)f(ev)m(olv)m(e,)i(with)e
36486 (maxim)m(um)e(allo)m(w)m(ed)i(time-lik)m(e)d(virtualit)m(y)i(set)i(b)m
36487 (y)709 3453 y(the)d(phase)g(space)h(only)-8 b(.)236 3562
36488 y Fq(=)52 b(2)f(:)217 b Fw(a)35 b(sho)m(w)m(er)h(ma)m(y)f(ev)m(olv)m
36489 (e,)i(with)e(maxim)m(um)e(allo)m(w)m(ed)i(time-lik)m(e)d(virtualit)m(y)
36490 i(set)i(b)m(y)709 3670 y(phase)e(space)g(or)f(b)m(y)j
36491 Fq(PARP\(71\))g Fw(times)c(the)i Fj(Q)2451 3634 y Fl(2)2524
36492 3670 y Fw(v)-5 b(alue)33 b(of)g(the)g(space-lik)m(e)h(parton)709
36493 3778 y(created)f(in)f(the)h(same)f(v)m(ertex,)j(whic)m(hev)m(er)f(is)e
36494 (the)h(stronger)g(constrain)m(t.)0 3887 y Fq(MSTP\(64\))53
36495 b(:)48 b Fw(\(D=2\))31 b(c)m(hoice)i(of)f Fj(\013)1330
36496 3902 y Fl(s)1395 3887 y Fw(and)h Fj(Q)1662 3851 y Fl(2)1734
36497 3887 y Fw(scale)g(in)e(space-lik)m(e)i(parton)f(sho)m(w)m(ers.)236
36498 3995 y Fq(=)52 b(0)f(:)217 b Fj(\013)771 4010 y Fl(s)835
36499 3995 y Fw(is)32 b(tak)m(en)i(to)e(b)s(e)h(\014x)g(at)f(the)h(v)-5
36500 b(alue)32 b Fq(PARU\(111\))p Fw(.)236 4103 y Fq(=)52
36501 b(1)f(:)217 b Fw(\014rst-order)32 b(running)h Fj(\013)1590
36502 4118 y Fl(s)1654 4103 y Fw(with)f(argumen)m(t)h Fq(PARP\(63\))p
36503 Fj(Q)2798 4067 y Fl(2)2839 4103 y Fw(.)236 4212 y Fq(=)52
36504 b(2)f(:)217 b Fw(\014rst-order)32 b(running)f Fj(\013)1588
36505 4227 y Fl(s)1652 4212 y Fw(with)g(argumen)m(t)h Fq(PARP\(64\))p
36506 Fj(k)2771 4176 y Fl(2)2768 4236 y Fk(?)2857 4212 y Fw(=)p
36507 Fq(PARP\(64\))p Fw(\(1)22 b Fn(\000)f Fj(z)t Fw(\))p
36508 Fj(Q)3712 4176 y Fl(2)3752 4212 y Fw(.)0 4320 y Fq(MSTP\(65\))53
36509 b(:)48 b Fw(\(D=1\))38 b(treatmen)m(t)i(of)f(soft)g(gluon)f(emission)g
36510 (in)h(space-lik)m(e)g(parton-sho)m(w)m(er)i(ev)m(olu-)472
36511 4428 y(tion.)236 4537 y Fq(=)52 b(0)f(:)217 b Fw(soft)32
36512 b(gluons)g(are)h(en)m(tirely)f(neglected.)236 4645 y
36513 Fq(=)52 b(1)f(:)217 b Fw(soft)43 b(gluon)g(emission)g(is)g(resummed)h
36514 (and)g(included)f(together)h(with)f(the)h(hard)709 4754
36515 y(radiation)30 b(as)j(an)f(e\013ectiv)m(e)i Fj(z)j Fw(shift.)0
36516 4862 y Fq(MSTP\(66\))53 b(:)48 b Fw(\(D=1\))36 b(c)m(hoice)h(of)g(lo)m
36517 (w)m(er)g(cut-o\013)g(for)g(initial-state)c(QCD)k(radiation)e(in)h
36518 (anomalous)472 4970 y(photopro)s(duction)c(ev)m(en)m(ts)j(\(see)f
36519 Fq(MSTP\(14\)=3)p Fw(\).)236 5079 y Fq(=)52 b(0)f(:)217
36520 b Fw(the)33 b(lo)m(w)m(er)f Fj(Q)1208 5042 y Fl(2)1281
36521 5079 y Fw(cuto\013)g(is)g(the)h(standard)g(one)g(in)f
36522 Fq(PARP\(62\))2928 5042 y Fl(2)2970 5079 y Fw(.)236 5187
36523 y Fq(=)52 b(1)f(:)217 b Fw(the)27 b(lo)m(w)m(er)h(cuto\013)f(is)g(the)g
36524 (larger)f(of)34 b Fq(PARP\(62\))2436 5151 y Fl(2)2504
36525 5187 y Fw(and)28 b Fq(VINT\(283\))h Fw(or)e Fq(VINT\(284\))p
36526 Fw(,)709 5295 y(where)49 b(the)f(latter)e(is)i(the)g(virtualit)m(y)e
36527 (scale)h(of)h(the)g Fj(\015)58 b Fn(!)53 b Fw(q)p 3083
36528 5242 52 4 v(q)c(v)m(ertex)g(on)f(the)709 5404 y(appropriate)31
36529 b(side)i(of)f(the)h(ev)m(en)m(t.)0 5512 y Fq(MSTP\(67\))53
36530 b(:)48 b Fw(\(D=2\))27 b(p)s(ossibilit)m(y)g(to)h(in)m(tro)s(duce)g
36531 (colour)g(coherence)i(e\013ects)g(in)e(the)h(\014rst)g(branc)m(hing)472
36532 5620 y(of)36 b(the)h(bac)m(kw)m(ards)h(ev)m(olution)e(of)f(an)i
36533 (initial)32 b(state)37 b(sho)m(w)m(er;)i(mainly)c(of)g(relev)-5
36534 b(ance)37 b(for)1817 5953 y(210)p eop
36535 %%Page: 211 217
36536 211 216 bop 472 -18 a Fw(QCD)33 b(parton{parton)f(scattering)g(pro)s
36537 (cesses.)236 90 y Fq(=)52 b(0)f(:)217 b Fw(none.)236
36538 198 y Fq(=)52 b(2)f(:)217 b Fw(restrict)33 b(the)h(p)s(olar)e(angle)h
36539 (of)g(a)h(branc)m(hing)f(to)h(b)s(e)f(smaller)f(than)i(the)g
36540 (scattering)709 307 y(angle)d(of)h(the)h(relev)-5 b(an)m(t)33
36541 b(colour)f(\015o)m(w.)236 415 y Fo(Note)37 b(1:)110 b
36542 Fw(azim)m(uthal)30 b(anisotropies)i(ha)m(v)m(e)i(not)e(y)m(et)i(b)s
36543 (een)f(included.)236 523 y Fo(Note)k(2:)110 b Fw(for)45
36544 b(subsequen)m(t)j(branc)m(hings,)h Fq(MSTP\(62\)=3)f
36545 Fw(is)d(used)i(to)e(restrict)g(the)h(\(p)s(olar\))709
36546 632 y(angular)31 b(range)h(of)h(branc)m(hings.)0 740
36547 y Fq(MSTP\(68\))53 b(:)48 b Fw(\(D=0\))27 b(c)m(hoice)h(of)f(scale)h
36548 (for)g(initial-state)c(QED)k(sho)m(w)m(ers)i(in)d(e)2895
36549 704 y Fl(+)2954 740 y Fw(e)2997 704 y Fk(\000)3084 740
36550 y Fw(collisions.)40 b(\(Do)s(es)472 848 y(not)33 b(a\013ect)g(ep,)g
36551 (pp,)g Fj(\015)5 b Fw(p,)33 b Fj(\015)5 b(\015)g Fw(.\))236
36552 957 y Fq(=)52 b(0)f(:)217 b Fw(the)33 b(standard)g(c)m(hoice)g(giv)m
36553 (en)f(b)m(y)j Fq(MSTP\(32\))p Fw(.)236 1065 y Fq(=)52
36554 b(1)f(:)217 b Fw(for)36 b(parton-sho)m(w)m(er)i(ev)m(olution)e(the)i
36555 (scale)f(is)f(increased)i(to)e Fj(s)p Fw(,)j(the)e(full)e(squared)709
36556 1173 y(energy)-8 b(,)30 b(but)f(the)g(ev)-5 b(aluation)27
36557 b(of)h(\\parton")g(distributions)f(for)h(cross-section)i(cal-)709
36558 1282 y(culation)h(is)h(still)e(based)j(on)g(the)g Fq(MSTP\(32\))i
36559 Fw(scale.)236 1390 y Fq(=)52 b(2)f(:)217 b Fw(b)s(oth)32
36560 b(parton-sho)m(w)m(er)i(and)e(cross-section)i(calculations)c(use)k
36561 Fj(s)e Fw(as)h(the)g(scale.)236 1498 y Fo(Note:)203 b
36562 Fw(The)24 b(bac)m(kground)h(is)e(the)h(follo)m(wing.)37
36563 b(Consider)24 b(pro)s(cess)h(1,)g(e)2984 1462 y Fl(+)3043
36564 1498 y Fw(e)3086 1462 y Fk(\000)3174 1498 y Fn(!)i Fw(Z)3361
36565 1462 y Fl(0)3400 1498 y Fj(=\015)3505 1462 y Fk(\003)3544
36566 1498 y Fw(.)41 b(The)709 1607 y(scale)36 b(used)i(for)d(initial-state)e
36567 (QED)j(\\parton"-sho)m(w)m(er)h(ev)m(olution)f(\()p Fj(e)e
36568 Fn(!)g Fw(e)25 b(+)g Fj(\015)5 b Fw(\))709 1715 y(here)47
36569 b(is)k(^)-54 b Fj(s)p Fw(,)51 b(i.e.)85 b(the)48 b(squared)g(mass)e(of)
36570 h(the)g(pro)s(duced)h(Z)2999 1679 y Fl(0)3038 1715 y
36571 Fj(=\015)3143 1679 y Fk(\003)3182 1715 y Fw(.)86 b(This)47
36572 b(is)f(the)709 1823 y(sensible)23 b(c)m(hoice)h(in)e(most)h(cases.)42
36573 b(This)23 b(scale)g(roughly)g(sets)i(the)e(upp)s(er)h
36574 Fj(p)3395 1838 y Fk(?)3477 1823 y Fw(limit)c(of)709 1932
36575 y(photons)26 b(emitted)e(in)h(the)h(initial-state)c(cascades.)43
36576 b(Therefore)26 b(a)f(funn)m(y)i(situation)709 2040 y(can)33
36577 b(o)s(ccur)f(for)g(the)h(emission)f(of)g(photons)h(with)f(v)m(ery)i
36578 (large)e Fj(p)3063 2055 y Fk(?)3122 2040 y Fw(.)43 b(F)-8
36579 b(or)32 b(simplicit)m(y)709 2148 y(assume)j(a)g(\014xed)h(photon)e
36580 (emission)g(angle)g(suc)m(h)i(as)f(90)2795 2112 y Fk(\016)2834
36581 2148 y Fw(.)50 b(As)36 b(the)f(photon)g Fj(p)3610 2163
36582 y Fk(?)3704 2148 y Fw(=)709 2257 y(photon)26 b(energy)h(is)f
36583 (increased,)i(the)f(mass)f(of)g(the)g(recoiling)e(\(also)h(high-)p
36584 Fj(p)3414 2272 y Fk(?)3472 2257 y Fw(\))h(Z)3596 2221
36585 y Fl(0)3635 2257 y Fj(=\015)3740 2221 y Fk(\003)709 2365
36586 y Fw(is)e(corresp)s(ondingly)h(decreased.)43 b(A)m(t)25
36587 b(some)g Fj(p)2391 2380 y Fk(?)2475 2365 y Fw(scale)h(this)e(mass)h
36588 (drops)h(b)s(elo)m(w)f(the)709 2473 y Fj(p)758 2488 y
36589 Fk(?)852 2473 y Fw(itself.)50 b(Then)36 b(the)g(parton)f(sho)m(w)m(er)i
36590 (cannot)e(pro)s(duce)h(photons)g(at)e(all,)g(giv)m(en)709
36591 2582 y(that)g(the)h(upp)s(er)g(limit)30 b(for)k(the)h(parton)f(sho)m(w)
36592 m(er)i(is)e(the)h(mass.)49 b(Therefore)36 b(there)709
36593 2690 y(is)26 b(a)h(rather)g(abrupt)h(cut-o\013.)41 b(A)27
36594 b(more)f(detailed)g(study)j(sho)m(ws)g(this)d(cut-o\013)h(is)g(not)709
36595 2798 y(exactly)h(at)f(the)h(p)s(oin)m(t)f(outlined)f(ab)s(o)m(v)m(e)j
36596 (but)e(a)h(bit)f(b)s(elo)m(w)g(it,)h(but)g(this)f(is)g(a)g(minor)709
36597 2907 y(p)s(oin)m(t.)56 b(The)39 b(theory)e(answ)m(er)i(is)e(that)g(if)f
36598 (the)i(Z)2505 2871 y Fl(0)2544 2907 y Fj(=\015)2649 2871
36599 y Fk(\003)2725 2907 y Fw(mass)f(and)h(the)f(photon)h
36600 Fj(p)3721 2922 y Fk(?)709 3015 y Fw(are)f(comparable,)h(the)g
36601 (leading-order)e(description)h(ab)s(o)m(v)m(e)i(is)e(not)h(supp)s(osed)
36602 h(to)709 3123 y(b)s(e)27 b(reliable,)f(but)h(the)g(problem)f(is)g(no)m
36603 (w)i(a)e(t)m(w)m(o-scale)h(one.)42 b(The)28 b(photon)f(emission)709
36604 3232 y(should)j(b)s(e)h(included)g(as)g(part)f(of)g(the)i(hard)e(pro)s
36605 (cess)i(itself.)42 b(This)31 b(is)f(a)m(v)-5 b(ailable)28
36606 b(as)709 3340 y(pro)s(cess)36 b(19)e(in)g(Pythia.)51
36607 b(Pro)s(cess)36 b(19,)f(on)g(the)g(other)g(hand,)h(cannot)f(b)s(e)g
36608 (used)h(in)709 3448 y(the)g(region)g(of)f(v)m(ery)j(lo)m(w)e(photon)g
36609 Fj(p)2072 3463 y Fk(?)2131 3448 y Fw(.)55 b(T)-8 b(ec)m(hnically)g(,)36
36610 b(one)h(therefore)g(has)f(to)g(cut)709 3557 y(and)f(paste)g(t)m(w)m(o)h
36611 (di\013eren)m(t)f(solutions.)49 b(As)36 b(an)f(alternativ)m(e,)f(one)i
36612 (can)f(arti\014cially)709 3665 y(remo)m(v)m(e)30 b(the)h
36613 Fj(p)1254 3680 y Fk(?)1342 3665 y Fw(cuto\013)f(ab)s(o)m(v)m(e)h(b)m(y)
36614 g(c)m(hanging)e(the)h(scale)g(of)g(sho)m(w)m(ers)i(from)g(^)-53
36615 b Fj(s)30 b Fw(to)f Fj(s)p Fw(.)709 3774 y(Then)34 b(the)h(full)c
36616 (phase)k(space)g(b)s(ecomes)f(a)m(v)-5 b(ailable)31 b(for)i(emissions,)
36617 h(i.e.)46 b(it)33 b(is)g(no)m(w)709 3882 y(allo)m(w)m(ed)f(to)h(ha)m(v)
36618 m(e)h(a)f(Z)1543 3846 y Fl(0)1582 3882 y Fj(=\015)1687
36619 3846 y Fk(\003)1759 3882 y Fw(with)g(larger)f Fj(p)2308
36620 3897 y Fk(?)2400 3882 y Fw(than)h(mass.)45 b(This)33
36621 b(is)g(no)g(guaran)m(tee)709 3990 y(the)j(rate)h(is)f(the)h(correct)g
36622 (one,)g(but)g(comparisons)f(with)g(pro)s(cess)h(19)f(indicate)f(it)709
36623 4099 y(is)d(not)g(so)h(far)f(o\013.)0 4207 y Fq(MSTP\(71\))53
36624 b(:)48 b Fw(\(D=1\))31 b(master)i(switc)m(h)g(for)f(\014nal-state)g
36625 (QCD)g(and)h(QED)f(radiation.)236 4315 y Fq(=)52 b(0)f(:)217
36626 b Fw(o\013.)236 4424 y Fq(=)52 b(1)f(:)217 b Fw(on.)0
36627 4586 y Fq(PARP\(61\))53 b(:)48 b Fw(\(D=0.25)c(GeV\))h(\003)g(v)-5
36628 b(alue)45 b(used)i(in)d(space-lik)m(e)i(parton)f(sho)m(w)m(er)i(\(see)f
36629 Fq(MSTP\(64\))p Fw(\).)472 4694 y(This)33 b(v)-5 b(alue)32
36630 b(ma)m(y)h(b)s(e)f(o)m(v)m(erwritten,)i(see)g Fq(MSTP\(3\))p
36631 Fw(.)0 4803 y Fq(PARP\(62\))53 b(:)48 b Fw(\(D=1.)69
36632 b(GeV\))41 b(e\013ectiv)m(e)h(cut-o\013)f Fj(Q)h Fw(or)f
36633 Fj(k)2164 4818 y Fk(?)2264 4803 y Fw(v)-5 b(alue)41 b(\(see)h
36634 Fq(MSTP\(64\))p Fw(\),)k(b)s(elo)m(w)41 b(whic)m(h)472
36635 4911 y(space-lik)m(e)33 b(parton)f(sho)m(w)m(ers)j(are)e(not)f(ev)m
36636 (olv)m(ed.)0 5019 y Fq(PARP\(63\))53 b(:)48 b Fw(\(D=0.25\))f(in)g
36637 (space-lik)m(e)h(sho)m(w)m(er)i(ev)m(olution)d(the)i(virtualit)m(y)d
36638 Fj(Q)3073 4983 y Fl(2)3161 5019 y Fw(of)h(a)h(parton)g(is)472
36639 5128 y(m)m(ultiplied)28 b(b)m(y)33 b Fq(PARP\(63\))g
36640 Fw(for)d(use)h(as)g(a)g(scale)f(in)g Fj(\013)2426 5143
36641 y Fl(s)2489 5128 y Fw(and)h(parton)f(distributions)f(when)472
36642 5236 y Fq(MSTP\(64\)=1)p Fw(.)0 5344 y Fq(PARP\(64\))53
36643 b(:)48 b Fw(\(D=1.\))75 b(in)43 b(space-lik)m(e)h(parton-sho)m(w)m(er)g
36644 (ev)m(olution)f(the)h(squared)h(transv)m(erse)h(mo-)472
36645 5453 y(men)m(tum)34 b(ev)m(olution)g(scale)g Fj(k)1570
36646 5417 y Fl(2)1567 5477 y Fk(?)1660 5453 y Fw(is)g(m)m(ultiplied)d(b)m(y)
36647 37 b Fq(PARP\(64\))g Fw(for)c(use)j(as)e(a)g(scale)h(in)e
36648 Fj(\013)3747 5468 y Fl(s)472 5561 y Fw(and)g(parton)f(distributions)g
36649 (when)h Fq(MSTP\(64\)=2)p Fw(.)1817 5953 y(211)p eop
36650 %%Page: 212 218
36651 212 217 bop 0 -18 a Fq(PARP\(65\))53 b(:)48 b Fw(\(D=2.)57
36652 b(GeV\))37 b(e\013ectiv)m(e)h(minim)m(um)c(energy)39
36653 b(\(in)d(c.m.)58 b(frame\))36 b(of)h(time-lik)m(e)e(or)i(on-)472
36654 90 y(shell)32 b(parton)h(emitted)e(in)h(space-lik)m(e)h(sho)m(w)m(er;)h
36655 (see)g(also)d Fq(PARP\(66\))p Fw(.)0 198 y Fq(PARP\(66\))53
36656 b(:)48 b Fw(\(D=0.001\))32 b(e\013ectiv)m(e)i(lo)m(w)m(er)f(cut-o\013)g
36657 (on)g(1)23 b Fn(\000)g Fj(z)38 b Fw(in)32 b(space-lik)m(e)h(sho)m(w)m
36658 (ers,)j(in)c(addition)472 307 y(to)h(the)g(cut)g(implied)d(b)m(y)k
36659 Fq(PARP\(65\))p Fw(.)0 415 y Fq(PARP\(67\))53 b(:)48
36660 b Fw(\(D=4.\))80 b(the)45 b Fj(Q)1200 379 y Fl(2)1285
36661 415 y Fw(scale)g(of)f(the)h(hard)g(scattering)g(\(see)h
36662 Fq(MSTP\(32\))p Fw(\))h(is)e(m)m(ultiplied)472 523 y(b)m(y)f
36663 Fq(PARP\(67\))g Fw(to)d(de\014ne)i(the)f(maxim)m(um)e(parton)h
36664 (virtualit)m(y)f(allo)m(w)m(ed)h(in)g(space-lik)m(e)472
36665 632 y(sho)m(w)m(ers.)68 b(This)40 b(do)s(es)h(not)f(apply)f(to)h
36666 Fj(s)p Fw(-c)m(hannel)g(resonances,)j(where)e(the)g(maxim)m(um)472
36667 740 y(virtualit)m(y)31 b(is)h(set)i(b)m(y)f Fj(m)1374
36668 704 y Fl(2)1414 740 y Fw(.)0 848 y Fq(PARP\(68\))53 b(:)48
36669 b Fw(\(D=1E-3\))31 b(lo)m(w)m(er)i Fj(Q)g Fw(cut-o\013)f(for)g(QED)g
36670 (space-lik)m(e)h(sho)m(w)m(ers.)0 957 y Fq(PARP\(71\))53
36671 b(:)48 b Fw(\(D=4.\))80 b(the)45 b Fj(Q)1200 920 y Fl(2)1285
36672 957 y Fw(scale)g(of)f(the)h(hard)g(scattering)g(\(see)h
36673 Fq(MSTP\(32\))p Fw(\))h(is)e(m)m(ultiplied)472 1065 y(b)m(y)j
36674 Fq(PARP\(71\))g Fw(to)d(de\014ne)i(the)e(maxim)m(um)f(parton)h
36675 (virtualit)m(y)f(allo)m(w)m(ed)g(in)h(time-lik)m(e)472
36676 1173 y(sho)m(w)m(ers.)68 b(This)40 b(do)s(es)h(not)f(apply)f(to)h
36677 Fj(s)p Fw(-c)m(hannel)g(resonances,)j(where)e(the)g(maxim)m(um)472
36678 1282 y(virtualit)m(y)31 b(is)h(set)i(b)m(y)f Fj(m)1374
36679 1245 y Fl(2)1414 1282 y Fw(.)0 1390 y Fq(PARP\(72\))53
36680 b(:)48 b Fw(\(D=0.25)22 b(GeV\))h(\003)g(v)-5 b(alue)23
36681 b(used)i(in)e(running)f Fj(\013)2267 1405 y Fl(s)2323
36682 1390 y Fw(for)h(timelik)m(e)e(parton)i(sho)m(w)m(ers,)28
36683 b(except)472 1498 y(for)34 b(sho)m(w)m(ers)j(in)d(the)h(deca)m(y)h(of)e
36684 (a)h(resonance.)50 b(\(Resonance)36 b(deca)m(y)-8 b(,)37
36685 b(e.g.)49 b Fj(\015)3291 1462 y Fk(\003)3331 1498 y Fj(=)-5
36686 b(Z)3449 1462 y Fl(0)3522 1498 y Fw(deca)m(y)d(,)472
36687 1607 y(is)33 b(instead)f(set)h(b)m(y)i Fq(PARJ\(81\))p
36688 Fw(.\))1817 5953 y(212)p eop
36689 %%Page: 213 219
36690 213 218 bop 0 -18 a Ft(11)161 b(Beam)53 b(Remnan)l(ts)f(and)i
36691 (Underlying)f(Ev)l(en)l(ts)0 189 y Fw(Eac)m(h)27 b(incoming)c(b)s(eam)j
36692 (particle)e(ma)m(y)i(lea)m(v)m(e)h(b)s(ehind)e(a)h(b)s(eam)f(remnan)m
36693 (t,)i(whic)m(h)g(do)s(es)f(not)g(tak)m(e)h(part)0 297
36694 y(in)f(the)h(initial-state)c(radiation)h(or)j(hard)f(scattering)h(pro)s
36695 (cess.)43 b(If)26 b(nothing)g(else,)i(the)f(remnan)m(ts)g(need)0
36696 405 y(b)s(e)j(reconstructed)i(and)e(connected)i(to)d(the)h(rest)h(of)e
36697 (the)i(ev)m(en)m(t.)44 b(In)30 b(hadron{hadron)g(collisions,)e(the)0
36698 514 y(comp)s(osite)39 b(nature)i(of)f(the)h(t)m(w)m(o)g(incoming)d(b)s
36699 (eam)i(particles)f(implies)f(the)j(additional)d(p)s(ossibilit)m(y)0
36700 622 y(that)31 b(sev)m(eral)g(parton)g(pairs)g(undergo)g(separate)h
36701 (hard)f(or)f(semi-hard)g(scatterings,)i(`m)m(ultiple)c(in)m(ter-)0
36702 730 y(actions'.)43 b(This)32 b(ma)m(y)g(giv)m(e)f(a)h(non-negligible)c
36703 (con)m(tribution)j(to)h(the)g(`underlying)f(ev)m(en)m(t')j(structure,)0
36704 839 y(and)k(th)m(us)i(to)d(the)i(total)e(m)m(ultiplicit)m(y)-8
36705 b(.)56 b(Finally)-8 b(,)37 b(in)h(high-luminosit)m(y)c(colliders,)k(it)
36706 g(is)f(p)s(ossible)h(to)0 947 y(ha)m(v)m(e)k(sev)m(eral)g(collisions)d
36707 (b)s(et)m(w)m(een)k(b)s(eam)d(particles)g(in)g(one)i(and)f(the)g(same)g
36708 (b)s(eam)g(crossing,)i(i.e.)0 1055 y(pile-up)29 b(ev)m(en)m(ts,)j(whic)
36709 m(h)f(further)f(act)g(to)g(build)e(up)j(the)f(general)f(particle)g(pro)
36710 s(duction)g(activit)m(y)h(that)0 1164 y(is)i(to)h(b)s(e)g(observ)m(ed)i
36711 (b)m(y)f(detectors.)46 b(These)34 b(three)g(asp)s(ects)g(are)f(describ)
36712 s(ed)h(in)e(turn,)h(with)g(emphasis)0 1272 y(on)f(the)h(middle)e(one,)i
36713 (that)g(of)f(m)m(ultiple)e(in)m(teractions)i(within)f(a)h(single)g
36714 (hadron{hadron)g(collision.)146 1380 y(The)i(main)d(reference)j(on)e
36715 (the)h(m)m(ultiple)d(in)m(teractions)i(mo)s(del)f(is)h([Sj\177)-49
36716 b(o87a].)0 1654 y Fp(11.1)136 b(Beam)45 b(Remnan)l(ts)0
36717 1827 y Fw(The)36 b(initial-state)31 b(radiation)i(algorithm)f
36718 (reconstructs)37 b(one)e(sho)m(w)m(er)i(initiator)32
36719 b(in)i(eac)m(h)i(b)s(eam.)51 b(\(If)0 1935 y(initial-state)37
36720 b(radiation)i(is)i(not)f(included,)j(the)f(initiator)c(is)i(nothing)g
36721 (but)i(the)f(incoming)e(parton)0 2044 y(to)33 b(the)i(hard)f(in)m
36722 (teraction.\))46 b(T)-8 b(ogether)34 b(the)g(t)m(w)m(o)h(initiators)c
36723 (delineate)i(an)h(in)m(teraction)f(subsystem,)0 2152
36724 y(whic)m(h)40 b(con)m(tains)g(all)d(the)j(partons)g(that)f(participate)
36725 f(in)h(the)h(initial-state)35 b(sho)m(w)m(ers,)44 b(in)39
36726 b(the)g(hard)0 2260 y(in)m(teraction,)h(and)g(in)f(the)h(\014nal-state)
36727 f(sho)m(w)m(ers.)67 b(Left)40 b(b)s(ehind)g(are)f(t)m(w)m(o)i(b)s(eam)e
36728 (remnan)m(ts)h(whic)m(h,)0 2369 y(to)e(\014rst)h(appro)m(ximation,)f
36729 (just)g(sail)f(through,)j(una\013ected)g(b)m(y)f(the)g(hard)f(pro)s
36730 (cess.)63 b(\(The)39 b(issue)g(of)0 2477 y(additional)30
36731 b(in)m(teractions)i(is)g(co)m(v)m(ered)i(in)e(the)h(next)h(section.\))
36732 146 2585 y(A)d(description)f(of)h(the)g(b)s(eam)f(remnan)m(t)g
36733 (structure)i(con)m(tains)f(a)f(few)i(comp)s(onen)m(ts.)43
36734 b(First,)30 b(giv)m(en)0 2694 y(the)k(\015a)m(v)m(our)h(con)m(ten)m(t)h
36735 (of)d(a)h(\(colour-singlet\))d(b)s(eam)j(particle,)f(and)h(the)g(\015a)
36736 m(v)m(our)h(and)f(colour)f(of)h(the)0 2802 y(initiator)27
36737 b(parton,)k(it)e(is)h(p)s(ossible)g(to)g(reconstruct)i(the)f(\015a)m(v)
36738 m(our)g(and)g(colour)e(of)h(the)h(b)s(eam)e(remnan)m(t.)0
36739 2910 y(Sometimes)h(the)i(remnan)m(t)f(ma)m(y)g(b)s(e)g(represen)m(ted)j
36740 (b)m(y)e(just)f(a)g(single)g(parton)f(or)h(diquark,)h(but)f(often)0
36741 3019 y(the)47 b(remnan)m(t)g(has)g(to)f(b)s(e)h(sub)s(divided)g(in)m
36742 (to)f(t)m(w)m(o)h(separate)h(ob)5 b(jects.)87 b(In)47
36743 b(the)g(latter)f(case)h(it)f(is)0 3127 y(necessary)39
36744 b(to)e(share)h(the)g(remnan)m(t)f(energy)h(and)f(momen)m(tum)f(b)s(et)m
36745 (w)m(een)j(the)f(t)m(w)m(o.)57 b(Due)38 b(to)e(F)-8 b(ermi)0
36746 3235 y(motion)33 b(inside)i(hadron)g(b)s(eams,)g(the)h(initiator)c
36747 (parton)j(ma)m(y)g(ha)m(v)m(e)h(a)f(`primordial)c Fj(k)3229
36748 3250 y Fk(?)3288 3235 y Fw(')k(transv)m(erse)0 3344 y(momen)m(tum)d
36749 (motion,)f(whic)m(h)j(has)f(to)g(b)s(e)h(comp)s(ensated)f(b)m(y)i(the)e
36750 (b)s(eam)g(remnan)m(t.)45 b(If)33 b(the)h(remnan)m(t)0
36751 3452 y(is)26 b(sub)s(divided,)i(there)e(ma)m(y)h(also)e(b)s(e)h(a)g
36752 (relativ)m(e)g(transv)m(erse)i(momen)m(tum.)40 b(In)27
36753 b(the)f(end,)j(total)24 b(energy)0 3560 y(and)33 b(momen)m(tum)f(has)i
36754 (to)f(b)s(e)g(conserv)m(ed.)48 b(T)-8 b(o)33 b(\014rst)h(appro)m
36755 (ximation,)d(this)i(is)g(ensured)h(within)f(eac)m(h)0
36756 3669 y(remnan)m(t)39 b(separately)-8 b(,)41 b(but)f(some)f(\014nal)f
36757 (global)f(adjustmen)m(ts)j(are)f(necessary)j(to)c(comp)s(ensate)i(for)0
36758 3777 y(the)33 b(primordial)c Fj(k)696 3792 y Fk(?)787
36759 3777 y Fw(and)k(an)m(y)g(e\013ectiv)m(e)h(b)s(eam)e(remnan)m(t)g(mass.)
36760 146 3885 y(Consider)25 b(\014rst)f(a)g(proton)g(\(or,)h(with)f(trivial)
36761 d(mo)s(di\014cations,)j(an)m(y)g(other)g(bary)m(on)h(or)f(an)m(tibary)m
36762 (on\).)145 3998 y Fn(\017)49 b Fw(If)37 b(the)g(initiator)d(parton)j
36763 (is)f(a)h(u)g(or)g(d)g(quark,)i(it)d(is)g(assumed)i(to)e(b)s(e)i(a)e(v)
36764 -5 b(alence)37 b(quark,)i(and)244 4107 y(therefore)d(lea)m(v)m(es)h(b)s
36765 (ehind)e(a)g(diquark)h(b)s(eam)f(remnan)m(t,)h(i.e.)52
36766 b(either)35 b(a)g(ud)h(or)f(a)g(uu)h(diquark,)244 4215
36767 y(in)k(a)g(colour)f(an)m(titriplet)f(state.)68 b(Relativ)m(e)39
36768 b(probabilities)f(for)i(di\013eren)m(t)g(diquark)h(spins)f(are)244
36769 4323 y(deriv)m(ed)34 b(within)d(the)j(con)m(text)g(of)e(the)h
36770 (non-relativistic)e Fo(SU\(6\))h Fw(mo)s(del,)f(i.e.)44
36771 b(\015a)m(v)m(our)34 b Fo(SU\(3\))244 4432 y Fw(times)e(spin)g
36772 Fo(SU\(2\))p Fw(.)43 b(Th)m(us)34 b(a)f(ud)f(is)h(3)p
36773 Fj(=)p Fw(4)e(ud)1927 4447 y Fl(0)2000 4432 y Fw(and)h(1)p
36774 Fj(=)p Fw(4)g(ud)2476 4447 y Fl(1)2516 4432 y Fw(,)h(while)e(a)i(uu)g
36775 (is)f(alw)m(a)m(ys)h(uu)3571 4447 y Fl(1)3611 4432 y
36776 Fw(.)145 4550 y Fn(\017)49 b Fw(An)28 b(initiator)c(gluon)i(lea)m(v)m
36777 (es)j(b)s(ehind)e(a)g(colour)g(o)s(ctet)g(uud)h(state,)h(whic)m(h)f(is)
36778 f(sub)s(divided)h(in)m(to)f(a)244 4658 y(colour)33 b(triplet)g(quark)i
36779 (and)f(a)g(colour)g(an)m(titriplet)e(diquark.)48 b Fo(SU\(6\))34
36780 b Fw(giv)m(es)h(the)f(appropriate)244 4766 y(sub)s(division,)d(1)p
36781 Fj(=)p Fw(2)h(of)g(the)h(time)f(in)m(to)f(u)23 b(+)f(ud)1942
36782 4781 y Fl(0)1982 4766 y Fw(,)32 b(1)p Fj(=)p Fw(6)g(in)m(to)g(u)22
36783 b(+)g(ud)2700 4781 y Fl(1)2773 4766 y Fw(and)32 b(1)p
36784 Fj(=)p Fw(3)g(in)m(to)g(d)22 b(+)g(uu)3621 4781 y Fl(1)3661
36785 4766 y Fw(.)145 4884 y Fn(\017)49 b Fw(A)27 b(sea)g(quark)h(initiator,)
36786 c(suc)m(h)29 b(as)e(an)f(s,)j(lea)m(v)m(es)f(b)s(ehind)e(a)h(uud)p
36787 2553 4831 39 4 v(s)h(four-quark)e(state.)42 b(The)28
36788 b(PDG)244 4992 y(\015a)m(v)m(our)g(co)s(ding)d(sc)m(heme)j(and)f(the)g
36789 (fragmen)m(tation)e(routines)i(do)g(not)f(foresee)i(suc)m(h)g(a)f
36790 (state,)h(so)244 5101 y(therefore)e(it)f(is)g(sub)s(divided)h(in)m(to)f
36791 (a)h(meson)g(plus)f(a)h(diquark,)h(i.e.)41 b(1)p Fj(=)p
36792 Fw(2)25 b(in)m(to)g(u)p 3109 5048 V(s)9 b(+)f(ud)3348
36793 5116 y Fl(0)3388 5101 y Fw(,)27 b(1)p Fj(=)p Fw(6)e(in)m(to)244
36794 5209 y(u)p 298 5156 V(s)18 b(+)g(ud)556 5224 y Fl(1)626
36795 5209 y Fw(and)30 b(1)p Fj(=)p Fw(3)g(in)m(to)f(d)p 1239
36796 5156 V(s)18 b(+)g(uu)1497 5224 y Fl(1)1537 5209 y Fw(.)42
36797 b(Once)32 b(the)e(\015a)m(v)m(ours)i(of)e(the)h(meson)f(are)g
36798 (determined,)h(the)244 5317 y(c)m(hoice)26 b(of)f(meson)g(m)m(ultiplet)
36799 e(is)i(p)s(erformed)g(as)g(in)g(the)h(standard)f(fragmen)m(tation)f
36800 (description.)145 5435 y Fn(\017)49 b Fw(Finally)-8 b(,)30
36801 b(an)i(an)m(tiquark)g(initiator,)e(suc)m(h)k(as)e(an)p
36802 2052 5382 V 32 w(s)q(,)g(lea)m(v)m(es)i(b)s(ehind)e(a)g(uuds)i
36803 (four-quark)e(state,)244 5544 y(whic)m(h)k(is)f(sub)s(divided)g(in)m
36804 (to)g(a)g(bary)m(on)h(plus)f(a)g(quark.)53 b(Since,)36
36805 b(to)f(\014rst)h(appro)m(ximation,)e(the)244 5652 y(s)p
36806 282 5599 V(s)39 b(pair)f(comes)h(from)f(the)h(branc)m(hing)f(g)i
36807 Fn(!)d Fw(s)p 1993 5599 V(s)j(of)e(a)h(colour)e(o)s(ctet)i(gluon,)g
36808 (the)h(sub)s(division)1817 5953 y(213)p eop
36809 %%Page: 214 220
36810 214 219 bop 244 -18 a Fw(uud)25 b(+)g(s)37 b(is)f(not)g(allo)m(w)m(ed,)
36811 h(since)f(it)g(w)m(ould)g(corresp)s(ond)h(to)f(a)h(colour-singlet)c(s)p
36812 3249 -71 39 4 v(s)q(.)55 b(Therefore)244 90 y(the)39
36813 b(sub)s(division)f(is)g(1)p Fj(=)p Fw(2)h(in)m(to)f(ud)1537
36814 105 y Fl(0)1576 90 y Fw(s)27 b(+)g(u,)40 b(1)p Fj(=)p
36815 Fw(6)e(in)m(to)h(ud)2363 105 y Fl(1)2402 90 y Fw(s)27
36816 b(+)g(u)39 b(and)g(1)p Fj(=)p Fw(3)f(in)m(to)g(uu)3356
36817 105 y Fl(1)3396 90 y Fw(s)27 b(+)f(d.)62 b(A)244 198
36818 y(bary)m(on)30 b(is)f(formed)g(among)g(the)h(ones)g(p)s(ossible)f(for)g
36819 (the)h(giv)m(en)g(\015a)m(v)m(our)h(con)m(ten)m(t)g(and)e(diquark)244
36820 307 y(spin,)39 b(according)e(to)g(the)h(relativ)m(e)e(probabilities)f
36821 (used)k(in)e(the)h(fragmen)m(tation.)56 b(One)38 b(could)244
36822 415 y(argue)28 b(for)g(an)g(additional)d(w)m(eigh)m(ting)j(to)g(coun)m
36823 (t)h(the)g(n)m(um)m(b)s(er)f(of)g(bary)m(on)h(states)g(a)m(v)-5
36824 b(ailable)26 b(for)244 523 y(a)32 b(giv)m(en)h(diquark)g(plus)f(quark)h
36825 (com)m(bination,)e(but)i(this)f(has)h(not)f(b)s(een)i(included.)146
36826 636 y(One)29 b(ma)m(y)f(note)g(that)g(an)m(y)h(u)g(or)e(d)i(quark)g
36827 (tak)m(en)g(out)f(of)g(the)g(proton)g(is)g(automatically)d(assumed)0
36828 745 y(to)34 b(b)s(e)g(a)g(v)-5 b(alence)34 b(quark.)49
36829 b(Clearly)33 b(this)h(is)f(unrealistic,)g(but)i(not)f(quite)g(as)g(bad)
36830 g(as)g(it)f(migh)m(t)g(seem.)0 853 y(In)43 b(particular,)h(one)g
36831 (should)f(remem)m(b)s(er)f(that)h(the)h(b)s(eam)e(remnan)m(t)h
36832 (scenario)g(is)f(applied)g(to)h(the)0 961 y(initial-state)33
36833 b(sho)m(w)m(er)38 b(initiators)c(at)i(a)g(scale)h(of)f
36834 Fj(Q)1909 976 y Fl(0)1983 961 y Fn(\031)f Fw(1)h(GeV)h(and)g(at)f(an)g
36835 Fj(x)h Fw(v)-5 b(alue)36 b(usually)g(m)m(uc)m(h)0 1070
36836 y(larger)e(than)h(the)g Fj(x)g Fw(at)g(the)g(hard)g(scattering.)50
36837 b(The)36 b(sea)g(quark)g(con)m(tribution)d(therefore)j(normally)0
36838 1178 y(is)c(negligible.)146 1286 y(F)-8 b(or)24 b(a)h(meson)g(b)s(eam)f
36839 (remnan)m(t,)i(the)g(rules)e(are)h(in)f(the)i(same)e(spirit,)h(but)h
36840 (somewhat)f(easier,)h(since)0 1395 y(no)43 b(diquark)g(or)f(bary)m(ons)
36841 i(need)g(b)s(e)f(tak)m(en)g(in)m(to)f(accoun)m(t.)75
36842 b(Th)m(us)45 b(a)d(v)-5 b(alence)43 b(quark)g(\(an)m(tiquark\))0
36843 1503 y(initiator)h(lea)m(v)m(es)k(b)s(ehind)g(a)f(v)-5
36844 b(alence)47 b(an)m(tiquark)g(\(quark\),)52 b(a)47 b(gluon)f(initiator)e
36845 (lea)m(v)m(es)49 b(b)s(ehind)e(a)0 1611 y(v)-5 b(alence)47
36846 b(quark)h(plus)f(a)f(v)-5 b(alence)47 b(an)m(tiquark,)k(and)c(a)g(sea)g
36847 (quark)h(\(an)m(tiquark\))f(lea)m(v)m(es)h(b)s(ehind)f(a)0
36848 1720 y(meson)33 b(\(whic)m(h)g(con)m(tains)f(the)h(partner)g(to)f(the)h
36849 (sea)g(parton\))g(plus)f(a)g(v)-5 b(alence)33 b(an)m(tiquark)g
36850 (\(quark\).)146 1828 y(A)f(resolv)m(ed)g(photon)f(is)g(ev)m(en)i
36851 (simpler)d(than)h(a)g(meson,)h(since)f(one)h(do)s(es)g(not)f(ha)m(v)m
36852 (e)i(to)e(mak)m(e)g(the)0 1936 y(distinction)h(b)s(et)m(w)m(een)k(v)-5
36853 b(alence)34 b(and)g(sea)g(\015a)m(v)m(our.)48 b(Th)m(us)36
36854 b(an)m(y)e(quark)h(\(an)m(tiquark\))f(initiator)c(lea)m(v)m(es)0
36855 2045 y(b)s(ehind)35 b(the)g(matc)m(hing)e(an)m(tiquark)i(\(quark\),)h
36856 (and)f(a)g(gluon)e(lea)m(v)m(es)j(b)s(ehind)f(a)f(quark)i(+)e(an)m
36857 (tiquark)0 2153 y(pair.)59 b(The)39 b(relativ)m(e)f(quark)h(\015a)m(v)m
36858 (our)g(comp)s(osition)c(in)j(the)g(latter)g(case)h(is)e(assumed)i(prop)
36859 s(ortional)0 2261 y(to)34 b Fj(e)166 2225 y Fl(2)166
36860 2286 y(q)241 2261 y Fw(among)f(ligh)m(t)g(\015a)m(v)m(ours,)i(i.e.)48
36861 b(2)p Fj(=)p Fw(3)33 b(in)m(to)h(u)23 b(+)p 1902 2209
36862 55 4 v 23 w(u,)35 b(1)p Fj(=)p Fw(6)e(in)m(to)g(d)24
36863 b(+)p 2574 2182 V 23 w(d,)34 b(and)g(1)p Fj(=)p Fw(6)g(in)m(to)f(s)24
36864 b(+)p 3421 2209 39 4 v 23 w(s.)48 b(If)34 b(one)0 2370
36865 y(w)m(an)m(ted)g(to,)e(one)h(could)f(also)g(ha)m(v)m(e)i(c)m(hosen)g
36866 (to)e(represen)m(t)j(the)e(remnan)m(t)f(b)m(y)i(a)e(single)g(gluon.)146
36867 2478 y(If)49 b(no)f(initial-state)d(radiation)h(is)i(assumed,)53
36868 b(an)48 b(electron)g(\(or,)k(in)c(general,)k(a)c(lepton)g(or)g(a)0
36869 2586 y(neutrino\))38 b(lea)m(v)m(es)i(b)s(ehind)f(no)f(b)s(eam)g
36870 (remnan)m(t.)62 b(Also)38 b(when)i(radiation)c(is)j(included,)h(one)f
36871 (w)m(ould)0 2695 y(exp)s(ect)32 b(to)f(reco)m(v)m(er)h(a)f(single)e
36872 (electron)i(with)g(the)g(full)e(b)s(eam)h(energy)i(when)g(the)f(sho)m
36873 (w)m(er)h(initiator)c(is)0 2803 y(reconstructed.)49 b(This)34
36874 b(do)s(es)g(not)g(ha)m(v)m(e)h(to)e(happ)s(en,)i(e.g.)48
36875 b(if)32 b(the)i(initial-state)c(sho)m(w)m(er)36 b(is)d(cut)h(o\013)g
36876 (at)0 2912 y(a)g(non-v)-5 b(anishing)33 b(scale,)i(suc)m(h)h(that)e
36877 (some)g(of)g(the)h(emission)e(at)h(lo)m(w)f Fj(Q)2701
36878 2875 y Fl(2)2775 2912 y Fw(v)-5 b(alues)35 b(is)f(not)g(sim)m(ulated.)0
36879 3020 y(F)-8 b(urther,)41 b(for)d(purely)h(tec)m(hnical)g(reasons,)i
36880 (the)f(distribution)d(of)h(an)h(electron)g(inside)g(an)f(electron,)0
36881 3128 y Fj(f)59 3092 y Fl(e)48 3153 y(e)94 3128 y Fw(\()p
36882 Fj(x;)17 b(Q)308 3092 y Fl(2)348 3128 y Fw(\),)30 b(is)g(cut)g(o\013)f
36883 (at)h Fj(x)e Fw(=)g(1)17 b Fn(\000)g Fw(10)1401 3092
36884 y Fk(\000)p Fl(6)1494 3128 y Fw(.)42 b(This)30 b(means)g(that)g(alw)m
36885 (a)m(ys,)h(when)g(initial-state)26 b(radiation)0 3237
36886 y(is)36 b(included,)g(a)g(fraction)f(of)h(at)g(least)g(10)1540
36887 3200 y Fk(\000)p Fl(6)1670 3237 y Fw(of)f(the)i(b)s(eam)e(energy)j(has)
36888 e(to)g(b)s(e)g(put)h(in)m(to)e(one)i(single)0 3345 y(photon)d(along)e
36889 (the)j(b)s(eam)e(direction,)g(to)g(represen)m(t)j(this)e(not)g(sim)m
36890 (ulated)e(radiation.)45 b(The)35 b(ph)m(ysics)0 3453
36891 y(is)30 b(here)h(sligh)m(tly)e(di\013eren)m(t)i(from)e(the)i(standard)f
36892 (b)s(eam)g(remnan)m(t)g(concept,)i(but)f(it)f(is)f(handled)i(with)0
36893 3562 y(the)37 b(same)g(mac)m(hinery)-8 b(.)56 b(Beam)36
36894 b(remnan)m(ts)h(can)g(also)f(app)s(er)h(when)h(the)f(electron)g(is)f
36895 (resolv)m(ed)i(with)0 3670 y(the)f(use)g(of)f(parton)g(distributions,)g
36896 (but)h(initial-state)32 b(radiation)j(is)g(switc)m(hed)j(o\013.)55
36897 b(Conceptually)-8 b(,)0 3778 y(this)43 b(is)h(a)f(con)m(tradiction,)i
36898 (since)g(it)d(is)i(the)g(initial-state)c(radiation)h(that)j(builds)f
36899 (up)h(the)g(parton)0 3887 y(distributions,)29 b(but)i(sometimes)e(the)i
36900 (com)m(bination)d(is)i(still)e(useful.)43 b(Finally)-8
36901 b(,)28 b(since)j(QED)f(radiation)0 3995 y(has)40 b(not)f(y)m(et)h(b)s
36902 (een)g(included)f(in)f(ev)m(en)m(ts)k(with)d(resolv)m(ed)h(photons)g
36903 (inside)f(electrons,)i(also)d(in)h(this)0 4103 y(case)33
36904 b(e\013ectiv)m(e)h(b)s(eam)e(remnan)m(ts)h(ha)m(v)m(e)h(to)e(b)s(e)h
36905 (assigned)g(b)m(y)g(the)g(program.)146 4212 y(The)j(b)s(eam)e(remnan)m
36906 (t)g(assignmen)m(ts)h(inside)f(an)h(electron,)g(in)f(either)h(of)f(the)
36907 h(cases)h(ab)s(o)m(v)m(e,)g(is)e(as)0 4320 y(follo)m(ws.)145
36908 4433 y Fn(\017)49 b Fw(An)33 b(e)447 4397 y Fk(\000)539
36909 4433 y Fw(initiator)c(lea)m(v)m(es)34 b(b)s(ehind)e(a)g
36910 Fj(\015)38 b Fw(remnan)m(t.)145 4551 y Fn(\017)49 b Fw(A)33
36911 b Fj(\015)k Fw(initiator)29 b(lea)m(v)m(es)34 b(b)s(ehind)f(an)f(e)1598
36912 4515 y Fk(\000)1690 4551 y Fw(remnan)m(t.)145 4669 y
36913 Fn(\017)49 b Fw(An)33 b(e)447 4632 y Fl(+)539 4669 y
36914 Fw(initiator)c(lea)m(v)m(es)34 b(b)s(ehind)e(an)h(e)1699
36915 4632 y Fk(\000)1780 4669 y Fw(+)22 b(e)1921 4632 y Fk(\000)2013
36916 4669 y Fw(remnan)m(t.)145 4786 y Fn(\017)49 b Fw(A)33
36917 b(q)g(\()p 472 4734 52 4 v(q\))f(initiator)e(lea)m(v)m(es)j(b)s(ehind)g
36918 (a)p 1656 4734 V 32 w(q)23 b(+)f(e)1871 4750 y Fk(\000)1963
36919 4786 y Fw(\(q)g(+)g(e)2215 4750 y Fk(\000)2275 4786 y
36920 Fw(\))32 b(remnan)m(t.)145 4904 y Fn(\017)49 b Fw(A)35
36921 b(g)g(initiator)d(lea)m(v)m(es)k(b)s(ehind)e(a)h(g)23
36922 b(+)g(e)1722 4868 y Fk(\000)1816 4904 y Fw(remnan)m(t.)50
36923 b(One)35 b(could)g(argue)f(that,)h(in)f(agreemen)m(t)244
36924 5013 y(with)c(the)h(treatmen)m(t)g(of)f(photon)h(b)s(eams)g(ab)s(o)m(v)
36925 m(e,)h(the)f(remnan)m(t)f(should)h(b)s(e)g(q)19 b(+)p
36926 3275 4960 V 18 w(q)g(+)f(e)3482 4976 y Fk(\000)3542 5013
36927 y Fw(.)43 b(The)244 5121 y(program)31 b(curren)m(tly)i(do)s(es)g(not)g
36928 (allo)m(w)e(for)h(three)h(b)s(eam)f(remnan)m(t)g(ob)5
36929 b(jects,)34 b(ho)m(w)m(ev)m(er.)146 5234 y(By)g(the)g(hard)f
36930 (scattering)g(and)g(initial-state)c(radiation)i(mac)m(hinery)-8
36931 b(,)34 b(the)f(sho)m(w)m(er)i(initiator)30 b(has)0 5342
36932 y(b)s(een)e(assigned)g(some)f(fraction)f Fj(x)i Fw(of)f(the)h
36933 (four-momen)m(tum)d(of)i(the)h(b)s(eam)f(particle,)g(lea)m(ving)g(b)s
36934 (ehind)0 5451 y(1)18 b Fn(\000)h Fj(x)31 b Fw(to)g(the)g(remnan)m(t.)43
36935 b(If)30 b(the)i(remnan)m(t)e(consists)i(of)e(t)m(w)m(o)h(ob)5
36936 b(jects,)33 b(this)d(energy)i(and)f(momen)m(tum)0 5559
36937 y(has)41 b(to)f(b)s(e)h(shared,)i(someho)m(w.)68 b(F)-8
36938 b(or)39 b(an)i(electron,)h(the)f(sharing)f(is)g(giv)m(en)g(from)g
36939 (\014rst)g(principles:)0 5667 y(if,)49 b(e.g.,)h(the)d(initiator)c(is)j
36940 (a)h(q,)j(then)d(that)g(q)f(w)m(as)i(pro)s(duced)f(in)f(the)h(sequence)
36941 i(of)d(branc)m(hings)1817 5953 y(214)p eop
36942 %%Page: 215 221
36943 215 220 bop 0 -18 a Fw(e)34 b Fn(!)g Fj(\015)39 b Fn(!)33
36944 b Fw(q,)38 b(where)f Fj(x)890 -3 y Fh(\015)971 -18 y
36945 Fw(is)f(distributed)g(according)g(to)g(the)g(con)m(v)m(olution)g(in)f
36946 (eq.)i(\(54\).)54 b(Therefore)0 90 y(the)p 166 37 52
36947 4 v 31 w(q)32 b(remnan)m(t)e(tak)m(es)j(a)d(fraction)g
36948 Fj(\037)e Fw(=)f(\()p Fj(x)1606 105 y Fh(\015)1670 90
36949 y Fn(\000)19 b Fj(x)p Fw(\))p Fj(=)p Fw(\(1)g Fn(\000)g
36950 Fj(x)p Fw(\))31 b(of)f(the)i(total)d(remnan)m(t)i(energy)-8
36951 b(,)32 b(and)f(the)0 198 y(e)i(tak)m(es)h(1)22 b Fn(\000)g
36952 Fj(\037)p Fw(.)146 307 y(F)-8 b(or)25 b(the)i(other)f(b)s(eam)f(remnan)
36953 m(ts,)i(the)g(relativ)m(e)e(energy-sharing)h(v)-5 b(ariable)24
36954 b Fj(\037)i Fw(is)f(not)h(kno)m(wn)h(from)0 415 y(\014rst)33
36955 b(principles,)f(but)h(pic)m(k)m(ed)h(according)e(to)h(some)f(suitable)g
36956 (parametrization.)41 b(Normally)31 b(sev)m(eral)0 523
36957 y(di\013eren)m(t)38 b(options)e(are)i(a)m(v)-5 b(ailable,)36
36958 b(that)h(can)h(b)s(e)g(set)g(separately)g(for)f(bary)m(on)h(and)f
36959 (meson)h(b)s(eams,)0 632 y(and)e(for)f(hadron)h(+)g(quark)h(and)f
36960 (quark)g(+)g(diquark)g(\(or)g(an)m(tiquark\))g(remnan)m(ts.)53
36961 b(In)37 b(one)f(extreme)0 740 y(are)42 b(shap)s(es)i(in)d(agreemen)m(t)
36962 i(with)f(na)-11 b(\177)-38 b(\020v)m(e)42 b(coun)m(ting)g(rules,)j
36963 (i.e.)72 b(where)44 b(energy)f(is)f(shared)h(ev)m(enly)0
36964 848 y(b)s(et)m(w)m(een)38 b(`v)-5 b(alence')37 b(partons.)55
36965 b(F)-8 b(or)36 b(instance,)h Fn(P)8 b Fw(\()p Fj(\037)p
36966 Fw(\))35 b(=)f(2)17 b(\(1)24 b Fn(\000)h Fj(\037)p Fw(\))36
36967 b(for)g(the)h(energy)g(fraction)e(tak)m(en)0 957 y(b)m(y)42
36968 b(the)g(q)g(in)e(a)h(q)29 b(+)f(qq)42 b(remnan)m(t.)70
36969 b(In)42 b(the)g(other)f(extreme,)j(an)e(unev)m(en)h(distribution)c
36970 (could)i(b)s(e)0 1065 y(used,)c(lik)m(e)e(in)g(parton)g(distributions,)
36971 g(where)i(the)f(quark)g(only)f(tak)m(es)i(a)e(small)e(fraction)h(and)i
36972 (most)0 1173 y(is)c(retained)g(b)m(y)i(the)f(diquark.)44
36973 b(The)33 b(default)f(for)g(a)g(q)23 b(+)f(qq)33 b(remnan)m(t)g(is)f(of)
36974 g(this)g(t)m(yp)s(e,)1443 1447 y Fn(P)8 b Fw(\()p Fj(\037)p
36975 Fw(\))28 b Fn(/)1860 1380 y Fw(\(1)22 b Fn(\000)h Fj(\037)p
36976 Fw(\))2168 1343 y Fl(3)p 1800 1424 468 4 v 1800 1440
36977 a Fg(q)p 1883 1440 385 4 v 102 x Fj(\037)1944 1513 y
36978 Fl(2)2006 1542 y Fw(+)f Fj(c)2146 1508 y Fl(2)2146 1566
36979 y(min)2310 1447 y Fj(;)1220 b Fw(\(155\))0 1769 y(with)33
36980 b Fj(c)265 1784 y Fl(min)415 1769 y Fw(=)c(2)p Fn(h)p
36981 Fj(m)693 1784 y Fl(q)734 1769 y Fn(i)p Fj(=E)894 1784
36982 y Fl(cm)1017 1769 y Fw(=)f(\(0)p Fj(:)p Fw(6)33 b(GeV\))p
36983 Fj(=E)1669 1784 y Fl(cm)1796 1769 y Fw(pro)m(viding)f(a)h(lo)m(w)m(er)g
36984 (cut-o\013.)45 b(In)34 b(general,)f(the)g(more)0 1877
36985 y(unev)m(en)46 b(the)e(sharing)f(of)g(the)h(energy)-8
36986 b(,)47 b(the)d(less)g(the)h(total)d(m)m(ultiplicit)m(y)e(in)j(the)h(b)s
36987 (eam)f(remnan)m(t)0 1986 y(fragmen)m(tation.)e(If)31
36988 b(no)h(m)m(ultiple)c(in)m(teractions)j(are)g(allo)m(w)m(ed,)g(a)g
36989 (rather)h(ev)m(en)g(sharing)f(is)g(needed)i(to)0 2094
36990 y(come)i(close)h(to)f(the)h(exp)s(erimen)m(tal)e(m)m(ultiplicit)m(y)e
36991 (\(and)k(y)m(et)g(one)g(do)s(es)g(not)g(quite)f(mak)m(e)h(it\).)51
36992 b(With)0 2202 y(an)40 b(unev)m(en)h(sharing)e(there)i(is)e(ro)s(om)f
36993 (to)h(generate)h(more)f(of)g(the)h(total)e(m)m(ultiplicit)m(y)e(b)m(y)
36994 41 b(m)m(ultiple)0 2311 y(in)m(teractions)32 b([Sj\177)-49
36995 b(o87a)o(].)146 2419 y(In)40 b(a)f(photon)h(b)s(eam,)g(with)f(a)h
36996 (remnan)m(t)f(q)27 b(+)p 1892 2366 52 4 v 27 w(q,)42
36997 b(the)d Fj(\037)h Fw(v)-5 b(ariable)38 b(is)h(c)m(hosen)i(the)f(same)f
36998 (w)m(a)m(y)h(it)0 2527 y(w)m(ould)33 b(ha)m(v)m(e)g(b)s(een)h(in)e(a)g
36999 (corresp)s(onding)g(meson)h(remnan)m(t.)146 2636 y(Before)49
37000 b(the)f Fj(\037)h Fw(v)-5 b(ariable)46 b(is)i(used)h(to)f(assign)g
37001 (remnan)m(t)g(momen)m(ta,)j(it)c(is)h(also)f(necessary)k(to)0
37002 2744 y(consider)41 b(the)f(issue)h(of)f(primordial)c
37003 Fj(k)1459 2759 y Fk(?)1518 2744 y Fw(.)67 b(The)41 b(initiator)c
37004 (partons)j(are)h(th)m(us)g(assigned)g(eac)m(h)g(a)f Fj(k)3721
37005 2759 y Fk(?)0 2852 y Fw(v)-5 b(alue,)30 b(v)-5 b(anishing)30
37006 b(for)g(an)g(electron)h(or)f(photon)g(inside)g(an)h(electron,)g
37007 (distributed)f(either)g(according)0 2961 y(to)43 b(a)g(Gaussian)g(or)h
37008 (an)f(exp)s(onen)m(tial)g(shap)s(e)h(for)f(a)h(hadron,)i(and)e
37009 (according)f(to)g(either)g(of)g(these)0 3069 y(shap)s(es)33
37010 b(or)e(a)h(p)s(o)m(w)m(er-lik)m(e)f(shap)s(e)i(for)e(a)g(quark)i(or)e
37011 (gluon)g(inside)g(a)h(photon)f(\(whic)m(h)i(ma)m(y)e(in)g(its)g(turn)0
37012 3178 y(b)s(e)f(inside)g(an)g(electron\).)42 b(The)31
37013 b(in)m(teraction)e(subsystem)j(is)e(b)s(o)s(osted)g(and)g(rotated)g(to)
37014 f(bring)h(it)f(from)0 3286 y(the)d(frame)e(assumed)h(so)h(far,)g(with)f
37015 (eac)m(h)h(initiator)21 b(along)j(the)i Fn(\006)p Fj(z)k
37016 Fw(axis,)c(to)f(one)g(where)i(the)e(initiators)0 3394
37017 y(ha)m(v)m(e)34 b(the)f(required)g(primordial)c Fj(k)1303
37018 3409 y Fk(?)1394 3394 y Fw(v)-5 b(alues.)146 3503 y(The)38
37019 b Fj(p)400 3518 y Fk(?)495 3503 y Fw(recoil)e(is)g(tak)m(en)h(b)m(y)h
37020 (the)f(remnan)m(t.)55 b(If)37 b(the)g(remnan)m(t)f(is)h(comp)s(osite,)f
37021 (the)h(recoil)e(is)i(all)0 3611 y(tak)m(en)j(b)m(y)g(one)g(of)e(the)i
37022 (t)m(w)m(o,)i(namely)c(the)i(one)f(that,)i(in)d(some)h(imagined)e(p)s
37023 (erturbativ)m(e)j(splitting)0 3719 y(language,)h(is)e(the)h(sister)g
37024 (of)f(the)h(initiator)d(parton.)65 b(F)-8 b(or)39 b(instance,)j(when)e
37025 (a)g(gluon)f(is)g(tak)m(en)i(out)0 3828 y(of)34 b(a)g(proton,)h(the)g
37026 (recoil)e(is)h(all)e(tak)m(en)j(b)m(y)h(the)f(lone)e(quark)j(\(i.e.)48
37027 b(nothing)34 b(b)m(y)h(the)g(diquark\),)g(since)0 3936
37028 y(one)41 b(could)g(ha)m(v)m(e)h(imagined)d(an)i(earlier)f(branc)m(hing)
37029 h(q)2078 3951 y Fl(0)2160 3936 y Fn(!)h Fw(qg)q(,)i(b)s(elo)m(w)c(the)i
37030 (sho)m(w)m(er)h(cut-o\013)d(scale)0 4044 y Fj(Q)77 4059
37031 y Fl(0)117 4044 y Fw(,)31 b(with)h Fj(p)446 4059 y Fk(?)p
37032 Fh(q)534 4068 y Ff(0)598 4044 y Fw(=)c(0.)43 b(In)32
37033 b(addition,)e(ho)m(w)m(ev)m(er,)k(t)m(w)m(o)e(b)s(eam)f(remnan)m(ts)h
37034 (ma)m(y)f(b)s(e)h(giv)m(en)f(a)h(relativ)m(e)e Fj(p)3693
37035 4059 y Fk(?)3752 4044 y Fw(,)0 4153 y(whic)m(h)j(is)f(then)h(alw)m(a)m
37036 (ys)h(c)m(hosen)g(as)e(for)h(q)1544 4168 y Fh(i)p 1572
37037 4100 V 1572 4153 a Fw(q)1624 4176 y Fh(i)1684 4153 y
37038 Fw(pairs)f(in)g(the)h(fragmen)m(tation)e(description.)146
37039 4261 y(The)42 b Fj(\037)f Fw(v)-5 b(ariable)39 b(is)h(in)m(terpreted)h
37040 (as)g(a)f(sharing)h(of)f(ligh)m(t-cone)f(energy)j(and)f(momen)m(tum,)g
37041 (i.e.)0 4369 y Fj(E)26 b Fw(+)20 b Fj(p)243 4384 y Fh(z)314
37042 4369 y Fw(for)31 b(the)g(b)s(eam)g(mo)m(ving)f(in)h(the)h(+)p
37043 Fj(z)k Fw(direction)30 b(and)i Fj(E)26 b Fn(\000)20 b
37044 Fj(p)2505 4384 y Fh(z)2576 4369 y Fw(for)31 b(the)h(other)f(one.)44
37045 b(When)32 b(the)0 4478 y(t)m(w)m(o)i(transv)m(erse)i(masses)f
37046 Fj(m)1056 4493 y Fk(?)p Fl(1)1184 4478 y Fw(and)f Fj(m)1460
37047 4493 y Fk(?)p Fl(2)1589 4478 y Fw(of)f(a)g(comp)s(osite)g(remnan)m(t)h
37048 (ha)m(v)m(e)h(b)s(een)f(constructed,)i(the)0 4586 y(total)31
37049 b(transv)m(erse)k(mass)d(can)h(therefore)g(b)s(e)g(found)g(as)1437
37050 4840 y Fj(m)1522 4799 y Fl(2)1522 4865 y Fk(?)1609 4840
37051 y Fw(=)1722 4773 y Fj(m)1807 4737 y Fl(2)1807 4798 y
37052 Fk(?)p Fl(1)p 1722 4817 180 4 v 1781 4909 a Fj(\037)1934
37053 4840 y Fw(+)2068 4773 y Fj(m)2153 4737 y Fl(2)2153 4798
37054 y Fk(?)p Fl(2)p 2042 4817 232 4 v 2042 4909 a Fw(1)22
37055 b Fn(\000)g Fj(\037)2316 4840 y(;)1214 b Fw(\(156\))0
37056 5105 y(if)27 b(remnan)m(t)i(1)f(is)g(the)h(one)g(that)f(tak)m(es)i(the)
37057 f(fraction)e Fj(\037)p Fw(.)42 b(The)29 b(c)m(hoice)g(of)f(a)h(ligh)m
37058 (t-cone)e(in)m(terpretation)0 5213 y(to)36 b Fj(\037)g
37059 Fw(means)h(the)f(de\014nition)g(is)g(in)m(v)-5 b(arian)m(t)34
37060 b(under)k(longitudinal)32 b(b)s(o)s(osts,)38 b(and)e(therefore)h(do)s
37061 (es)g(not)0 5322 y(dep)s(end)h(on)e(the)h(b)s(eam)f(energy)h(itself.)54
37062 b(A)36 b Fj(\037)h Fw(v)-5 b(alue)36 b(close)g(to)g(the)h(na)-11
37063 b(\177)-38 b(\020v)m(e)37 b(b)s(orders)g(0)f(or)g(1)g(can)h(lead)0
37064 5430 y(to)32 b(an)g(unreasonably)h(large)e(remnan)m(t)i
37065 Fj(m)1559 5445 y Fk(?)1618 5430 y Fw(.)43 b(Therefore)34
37066 b(an)e(additional)d(c)m(hec)m(k)35 b(is)d(in)m(tro)s(duced,)h(that)0
37067 5538 y(the)h(remnan)m(t)f Fj(m)642 5553 y Fk(?)734 5538
37068 y Fw(b)s(e)h(smaller)d(than)i(the)h(na)-11 b(\177)-38
37069 b(\020v)m(e)33 b(c.m.)45 b(frame)33 b(remnan)m(t)g(energy)-8
37070 b(,)34 b(\(1)23 b Fn(\000)g Fj(x)p Fw(\))p Fj(E)3450
37071 5553 y Fl(cm)3545 5538 y Fj(=)p Fw(2.)45 b(If)0 5647
37072 y(this)32 b(is)g(not)h(the)g(case,)g(a)g(new)g Fj(\037)g
37073 Fw(and)f(a)h(new)g(relativ)m(e)f(transv)m(erse)j(momen)m(tum)c(is)h
37074 (selected.)1817 5953 y(215)p eop
37075 %%Page: 216 222
37076 216 221 bop 146 -18 a Fw(Whether)39 b(there)f(is)f(one)h(remnan)m(t)f
37077 (parton)g(or)g(t)m(w)m(o,)j(the)e(transv)m(erse)h(mass)f(of)f(the)h
37078 (remnan)m(t)f(is)0 90 y(not)27 b(lik)m(ely)g(to)g(agree)h(with)f(1)12
37079 b Fn(\000)g Fj(x)28 b Fw(times)e(the)i(mass)g(of)f(the)h(b)s(eam)e
37080 (particle,)i(i.e.)41 b(it)27 b(is)g(not)g(going)f(to)h(b)s(e)0
37081 198 y(p)s(ossible)f(to)h(preserv)m(e)i(the)e(energy)h(and)f(momen)m
37082 (tum)e(in)h(eac)m(h)i(remnan)m(t)f(separately)-8 b(.)42
37083 b(One)27 b(therefore)0 307 y(allo)m(ws)i(a)h(sh)m(u\017ing)g(of)g
37084 (energy)h(and)f(momen)m(tum)f(b)s(et)m(w)m(een)j(the)f(b)s(eam)e
37085 (remnan)m(ts)i(from)d(eac)m(h)j(of)f(the)0 415 y(t)m(w)m(o)f(incoming)d
37086 (b)s(eams.)42 b(This)28 b(ma)m(y)g(b)s(e)g(ac)m(hiev)m(ed)i(b)m(y)f(p)s
37087 (erforming)d(a)i(\(small\))e(longitudinal)e(b)s(o)s(ost)k(of)0
37088 523 y(eac)m(h)f(remnan)m(t)f(system.)42 b(Since)26 b(there)h(are)f(t)m
37089 (w)m(o)g(b)s(o)s(ost)g(degrees)h(of)f(freedom,)h(one)f(for)g(eac)m(h)g
37090 (remnan)m(t,)0 632 y(and)34 b(t)m(w)m(o)g(constrain)m(ts,)g(one)g(for)f
37091 (energy)i(and)f(one)g(for)f(longitudinal)d(momen)m(tum,)i(a)i(solution)
37092 e(ma)m(y)0 740 y(b)s(e)h(found.)146 848 y(Under)k(some)f
37093 (circumstances,)h(one)f(b)s(eam)f(remnan)m(t)h(ma)m(y)g(b)s(e)g(absen)m
37094 (t)h(or)e(of)h(v)m(ery)h(lo)m(w)e(energy)-8 b(,)0 957
37095 y(while)35 b(the)g(other)h(one)g(is)f(more)g(complicated.)50
37096 b(One)36 b(example)f(is)g(deep)h(inelastic)e(scattering)h(in)g(ep)0
37097 1065 y(collisions,)26 b(where)j(the)f(electron)g(lea)m(v)m(es)h(no)f
37098 (remnan)m(t,)g(or)g(ma)m(yb)s(e)g(only)f(a)g(lo)m(w-energy)h(photon.)42
37099 b(It)28 b(is)0 1173 y(clearly)c(then)i(not)f(p)s(ossible)f(to)h
37100 (balance)g(the)g(t)m(w)m(o)h(b)s(eam)f(remnan)m(ts)g(against)f(eac)m(h)
37101 i(other.)41 b(Therefore,)0 1282 y(if)22 b(one)h(b)s(eam)g(remnan)m(t)g
37102 (has)g(an)g(energy)h(b)s(elo)m(w)f(0.2)g(of)g(the)g(b)s(eam)f(energy)-8
37103 b(,)27 b(i.e.)39 b(if)22 b(the)i(initiator)c(parton)0
37104 1390 y(has)37 b Fj(x)e(>)g Fw(0)p Fj(:)p Fw(8,)i(then)h(the)f(t)m(w)m
37105 (o)g(b)s(o)s(osts)g(needed)h(to)f(ensure)h(energy)f(and)g(momen)m(tum)f
37106 (conserv)-5 b(ation)0 1498 y(are)30 b(instead)g(p)s(erformed)f(on)h
37107 (the)g(other)g(remnan)m(t)g(and)g(on)g(the)g(in)m(teraction)f
37108 (subsystem.)45 b(If)29 b(there)i(is)0 1607 y(a)f(lo)m(w-energy)h
37109 (remnan)m(t)f(at)g(all)f(then,)i(b)s(efore)g(that,)g(energy)g(and)g
37110 (momen)m(tum)e(are)h(assigned)h(to)f(the)0 1715 y(remnan)m(t)24
37111 b(constituen)m(t\(s\))i(so)e(that)g(the)h(appropriate)f(ligh)m(t-cone)f
37112 (com)m(bination)f Fj(E)11 b Fn(\006)5 b Fj(p)3185 1730
37113 y Fh(z)3250 1715 y Fw(is)24 b(conserv)m(ed,)0 1823 y(but)39
37114 b(not)g(energy)h(or)e(momen)m(tum)g(separately)-8 b(.)62
37115 b(If)39 b(b)s(oth)g(b)s(eam)f(remnan)m(ts)h(ha)m(v)m(e)h(lo)m(w)f
37116 (energy)-8 b(,)41 b(but)0 1932 y(b)s(oth)32 b(still)f(exist,)i(then)g
37117 (the)g(one)g(with)f(lo)m(w)m(er)g Fj(m)1809 1947 y Fk(?)1869
37118 1932 y Fj(=E)38 b Fw(is)32 b(the)h(one)g(that)f(will)f(not)h(b)s(e)h(b)
37119 s(o)s(osted.)0 2206 y Fp(11.2)136 b(Multiple)45 b(In)l(teractions)0
37120 2378 y Fw(In)h(this)f(section)g(w)m(e)h(presen)m(t)h(the)f(mo)s(del)e
37121 (used)i(in)f Fm(Pythia)g Fw(to)g(describ)s(e)h(the)g(p)s(ossibilit)m(y)
37122 d(that)0 2487 y(sev)m(eral)33 b(parton)e(pairs)g(undergo)i(hard)e(in)m
37123 (teractions)h(in)f(a)g(hadron{hadron)h(collision,)d(and)j(thereb)m(y)0
37124 2595 y(con)m(tribute)48 b(to)f(the)h(o)m(v)m(erall)e(ev)m(en)m(t)k
37125 (activit)m(y)-8 b(,)50 b(in)d(particular)f(at)h(lo)m(w)g
37126 Fj(p)2760 2610 y Fk(?)2819 2595 y Fw(.)88 b(The)49 b(same)e(mo)s(del)f
37127 (is)0 2703 y(also)f(used)j(to)e(describ)s(e)h(the)g(VMD)f
37128 Fj(\015)5 b Fw(p)47 b(ev)m(en)m(ts,)52 b(where)c(the)e(photon)h(in)m
37129 (teracts)g(lik)m(e)e(a)h(hadron.)0 2812 y(It)c(should)g(from)e(the)j
37130 (onset)f(b)s(e)h(made)e(clear)g(that)h(this)g(is)f(not)h(an)g(easy)h
37131 (topic.)70 b(In)43 b(fact,)h(in)d(the)0 2920 y(full)k(ev)m(en)m(t)j
37132 (generation)e(pro)s(cess,)51 b(probably)c(no)f(other)h(area)f(is)g(as)h
37133 (p)s(o)s(orly)e(understo)s(o)s(d)i(as)g(this)0 3028 y(one.)55
37134 b(The)37 b(whole)f(concept)i(of)e(m)m(ultiple)d(in)m(teractions)j(is)g
37135 (v)m(ery)i(con)m(tro)m(v)m(ersial,)f(with)f(con)m(traditory)0
37136 3137 y(exp)s(erimen)m(tal)c(conclusions)g([AFS87].)146
37137 3245 y(The)d(m)m(ultiple)d(in)m(teractions)h(scenario)h(presen)m(ted)j
37138 (here)e([Sj\177)-49 b(o87a)o(])28 b(w)m(as)h(the)f(\014rst)h(detailed)e
37139 (mo)s(del)0 3353 y(for)39 b(this)h(kind)f(of)g(ph)m(ysics,)k(and)d(is)f
37140 (still)f(one)i(of)f(the)h(v)m(ery)h(few)g(a)m(v)-5 b(ailable.)62
37141 b(W)-8 b(e)40 b(will)d(presen)m(t)42 b(t)m(w)m(o)0 3462
37142 y(related)30 b(but)g(separate)h(scenarios,)g(one)g(`simple')d(mo)s(del)
37143 h(and)h(one)h(somewhat)f(more)g(sophisticated.)0 3570
37144 y(In)c(fact,)i(neither)e(of)g(them)g(are)g(all)e(that)i(simple,)g(whic)
37145 m(h)g(ma)m(y)g(mak)m(e)h(the)f(mo)s(dels)f(lo)s(ok)g(unattractiv)m(e.)0
37146 3678 y(Ho)m(w)m(ev)m(er,)42 b(the)d(w)m(orld)f(of)g(hadron)h(ph)m
37147 (ysics)h Fi(is)e Fw(complicated,)g(and)h(if)e(w)m(e)j(err,)g(it)d(is)h
37148 (most)g(lik)m(ely)f(in)0 3787 y(b)s(eing)g(to)s(o)f(unsophisticated.)58
37149 b(The)38 b(exp)s(erience)h(gained)d(with)h(the)h(mo)s(del\(s\),)f(in)g
37150 (failures)f(as)h(w)m(ell)0 3895 y(as)c(successes,)j(could)c(b)s(e)h
37151 (used)h(as)e(a)h(guideline)d(in)i(the)h(ev)m(olution)f(of)g(y)m(et)i
37152 (more)e(detailed)f(mo)s(dels.)146 4003 y(Our)h(basic)g(philosoph)m(y)f
37153 (will)f(b)s(e)i(as)g(follo)m(ws.)42 b(The)32 b(total)f(rate)h(of)f
37154 (parton{parton)g(in)m(teractions,)0 4112 y(as)40 b(a)f(function)h(of)f
37155 (the)h(transv)m(erse)i(momen)m(tum)d(scale)g Fj(p)2176
37156 4127 y Fk(?)2235 4112 y Fw(,)j(is)d(assumed)i(to)e(b)s(e)h(giv)m(en)g
37157 (b)m(y)h(p)s(ertur-)0 4220 y(bativ)m(e)34 b(QCD.)g(This)g(is)f
37158 (certainly)g(true)h(for)g(reasonably)g(large)e Fj(p)2437
37159 4235 y Fk(?)2530 4220 y Fw(v)-5 b(alues,)34 b(but)g(here)h(w)m(e)g
37160 (shall)d(also)0 4328 y(extend)40 b(the)f(p)s(erturbativ)m(e)g
37161 (parton{parton)f(scattering)g(framew)m(ork)h(in)m(to)f(the)h(lo)m(w-)p
37162 Fj(p)3261 4343 y Fk(?)3358 4328 y Fw(region.)60 b(A)0
37163 4437 y(regularization)39 b(of)j(the)h(div)m(ergence)g(in)f(the)g(cross)
37164 h(section)f(for)g Fj(p)2505 4452 y Fk(?)2608 4437 y Fn(!)i
37165 Fw(0)e(has)g(to)g(b)s(e)g(in)m(tro)s(duced,)0 4545 y(ho)m(w)m(ev)m(er,)
37166 h(whic)m(h)d(will)d(pro)m(vide)i(us)h(with)f(the)h(main)d(free)j
37167 (parameter)e(of)h(the)h(mo)s(del.)61 b(Since)40 b(eac)m(h)0
37168 4653 y(incoming)f(hadron)i(is)g(a)f(comp)s(osite)g(ob)5
37169 b(ject,)45 b(consisting)40 b(of)h(man)m(y)g(partons,)i(there)f(should)f
37170 (exist)0 4762 y(the)k(p)s(ossibilit)m(y)d(of)i(sev)m(eral)h(parton)f
37171 (pairs)g(in)m(teracting)g(when)h(t)m(w)m(o)g(hadrons)g(collide.)77
37172 b(It)45 b(is)f(not)0 4870 y(unreasonable)35 b(to)f(assume)h(that)g(the)
37173 g(di\013eren)m(t)g(pairwise)f(in)m(teractions)g(tak)m(e)h(place)f
37174 (essen)m(tially)h(in-)0 4979 y(dep)s(enden)m(tly)k(of)e(eac)m(h)i
37175 (other,)g(and)f(that)f(therefore)h(the)g(n)m(um)m(b)s(er)g(of)f(in)m
37176 (teractions)g(in)g(an)h(ev)m(en)m(t)h(is)0 5087 y(giv)m(en)33
37177 b(b)m(y)g(a)f(P)m(oissonian)h(distribution.)41 b(This)33
37178 b(is)f(the)h(strategy)g(of)f(the)h(`simple')e(scenario.)146
37179 5195 y(F)-8 b(urthermore,)28 b(hadrons)g(are)f(not)h(only)e(comp)s
37180 (osite)h(but)g(also)g(extended)i(ob)5 b(jects,)30 b(meaning)c(that)0
37181 5304 y(collisions)e(range)i(from)e(v)m(ery)k(cen)m(tral)e(to)g(rather)g
37182 (p)s(eripheral)f(ones.)42 b(Reasonably)-8 b(,)27 b(the)g(a)m(v)m(erage)
37183 g(n)m(um-)0 5412 y(b)s(er)39 b(of)f(in)m(teractions)g(should)g(b)s(e)h
37184 (larger)f(in)g(the)h(former)e(than)i(in)f(the)h(latter)f(case.)62
37185 b(Whereas)40 b(the)0 5520 y(assumption)25 b(of)g(a)g(P)m(oissonian)g
37186 (distribution)e(should)i(hold)g(for)g(eac)m(h)h(impact)e(parameter)h
37187 (separately)-8 b(,)0 5629 y(the)30 b(distribution)f(in)g(n)m(um)m(b)s
37188 (er)h(of)g(in)m(teractions)f(should)h(b)s(e)h(widened)f(b)m(y)h(the)g
37189 (spread)g(of)e(impact)g(pa-)1817 5953 y(216)p eop
37190 %%Page: 217 223
37191 217 222 bop 0 -18 a Fw(rameters.)41 b(The)27 b(amoun)m(t)f(of)f
37192 (widening)h(dep)s(ends)h(on)f(the)h(assumed)f(matter)g(distribution)e
37193 (inside)h(the)0 90 y(colliding)33 b(hadrons.)53 b(In)37
37194 b(the)f(`complex')g(scenario,)g(di\013eren)m(t)g(matter)g
37195 (distributions)e(are)i(therefore)0 198 y(in)m(tro)s(duced.)0
37196 446 y Fo(11.2.1)113 b(The)37 b(basic)g(cross)h(sections)0
37197 619 y Fw(The)f(QCD)f(cross)g(section)g(for)g(hard)g(2)d
37198 Fn(!)g Fw(2)i(pro)s(cesses,)k(as)d(a)g(function)f(of)h(the)g
37199 Fj(p)3096 582 y Fl(2)3096 643 y Fk(?)3191 619 y Fw(scale,)h(is)e(giv)m
37200 (en)0 727 y(b)m(y)497 844 y(d)p Fj(\033)p 472 888 163
37201 4 v 472 979 a Fw(d)p Fj(p)575 945 y Fl(2)575 1004 y Fk(?)672
37202 911 y Fw(=)781 828 y Fg(X)776 1012 y Fh(i;j;k)923 794
37203 y Fg(Z)1022 911 y Fw(d)p Fj(x)1131 926 y Fl(1)1188 794
37204 y Fg(Z)1288 911 y Fw(d)p Fj(x)1397 926 y Fl(2)1453 794
37205 y Fg(Z)1553 911 y Fw(d)1608 893 y(^)1607 911 y Fj(t)17
37206 b(f)1707 926 y Fh(i)1735 911 y Fw(\()p Fj(x)1828 926
37207 y Fl(1)1868 911 y Fj(;)g(Q)1989 870 y Fl(2)2028 911 y
37208 Fw(\))g Fj(f)2131 926 y Fh(j)2168 911 y Fw(\()p Fj(x)2261
37209 926 y Fl(2)2300 911 y Fj(;)g(Q)2421 870 y Fl(2)2461 911
37210 y Fw(\))2525 837 y(d)5 b(^)-54 b Fj(\033)2638 801 y Fh(k)2634
37211 862 y(ij)p 2525 888 171 4 v 2566 985 a Fw(d)2621 967
37212 y(^)2620 985 y Fj(t)2722 911 y(\016)2769 765 y Fg( )2835
37213 911 y Fj(p)2884 870 y Fl(2)2884 936 y Fk(?)2965 911 y
37214 Fn(\000)3076 825 y Fw(^)3074 844 y Fj(t)7 b Fw(^)-55
37215 b Fj(u)p 3074 888 91 4 v 3101 979 a Fw(^)i Fj(s)3175
37216 765 y Fg(!)3290 911 y Fj(;)240 b Fw(\(157\))0 1165 y(cf.)46
37217 b(section)34 b(7.2.)46 b(Implicitly)-8 b(,)30 b(from)j(no)m(w)h(on)f(w)
37218 m(e)i(are)e(assuming)g(that)g(the)h(`hardness')h(of)e(pro)s(cesses)0
37219 1273 y(is)27 b(giv)m(en)g(b)m(y)h(the)g Fj(p)684 1288
37220 y Fk(?)770 1273 y Fw(scale)f(of)g(the)h(scattering.)41
37221 b(F)-8 b(or)26 b(an)i(application)c(of)j(the)h(form)m(ula)d(ab)s(o)m(v)
37222 m(e)j(to)f(small)0 1382 y Fj(p)49 1397 y Fk(?)148 1382
37223 y Fw(v)-5 b(alues,)41 b(a)f(n)m(um)m(b)s(er)g(of)f(ca)m(v)m(eats)j
37224 (could)d(b)s(e)h(made.)65 b(A)m(t)40 b(lo)m(w)f Fj(p)2497
37225 1397 y Fk(?)2556 1382 y Fw(,)j(the)e(in)m(tegrals)f(receiv)m(e)i(ma)5
37226 b(jor)0 1490 y(con)m(tributions)33 b(from)g(the)h(small-)p
37227 Fj(x)d Fw(region,)i(where)i(parton)f(distributions)e(are)i(p)s(o)s
37228 (orly)e(understo)s(o)s(d)0 1599 y(theoretically)k(\(Regge)i(limit)d(b)s
37229 (eha)m(viour,)k(dense)h(pac)m(king)e(problems)f(etc.)60
37230 b([Lev90)q(]\))38 b(and)g(not)f(y)m(et)0 1707 y(measured.)79
37231 b(Di\013eren)m(t)44 b(sets)i(of)e(parton)g(distributions)f(can)i
37232 (therefore)g(giv)m(e)f(n)m(umerically)e(rather)0 1815
37233 y(di\013eren)m(t)f(results)g(for)f(the)h(phenomenology)e(of)i(in)m
37234 (terest.)67 b(One)41 b(ma)m(y)g(also)e(w)m(orry)i(ab)s(out)f(higher-)0
37235 1924 y(order)k(corrections)f(to)g(the)h(jet)g(rates)g(\()p
37236 Fj(K)51 b Fw(factors\),)46 b(b)s(ey)m(ond)e(what)g(is)f(giv)m(en)h(b)m
37237 (y)g(parton-sho)m(w)m(er)0 2032 y(corrections)c(|)g(one)g(simple)e
37238 (option)h(w)m(e)j(allo)m(w)c(here)j(is)e(to)h(ev)-5 b(aluate)40
37239 b Fj(\013)2761 2047 y Fl(s)2833 2032 y Fw(of)f(the)i(hard)f(scattering)
37240 0 2140 y(pro)s(cess)34 b(at)e(an)h(optimized)d(scale,)j
37241 Fj(\013)1367 2155 y Fl(s)1399 2140 y Fw(\(0)p Fj(:)p
37242 Fw(075)p Fj(p)1709 2104 y Fl(2)1709 2165 y Fk(?)1767
37243 2140 y Fw(\))g([Ell86)n(].)146 2249 y(The)h(hard)e(scattering)h(cross)g
37244 (section)g(ab)s(o)m(v)m(e)g(some)g(giv)m(en)g Fj(p)2415
37245 2264 y Fk(?)p Fl(min)2624 2249 y Fw(is)f(giv)m(en)h(b)m(y)1235
37246 2517 y Fj(\033)1290 2532 y Fl(hard)1436 2517 y Fw(\()p
37247 Fj(p)1523 2532 y Fk(?)p Fl(min)1699 2517 y Fw(\))28 b(=)1868
37248 2399 y Fg(Z)1952 2426 y Fh(s=)p Fl(4)1915 2588 y Fh(p)1951
37249 2565 y Ff(2)1951 2613 y Fd(?)p Ff(min)2158 2449 y Fw(d)p
37250 Fj(\033)p 2134 2493 163 4 v 2134 2585 a Fw(d)p Fj(p)2237
37251 2551 y Fl(2)2237 2610 y Fk(?)2323 2517 y Fw(d)p Fj(p)2426
37252 2475 y Fl(2)2426 2541 y Fk(?)2517 2517 y Fj(:)1013 b
37253 Fw(\(158\))0 2800 y(Since)29 b(the)g(di\013eren)m(tial)d(cross)k
37254 (section)e(div)m(erges)i(roughly)e(lik)m(e)f(d)p Fj(p)2454
37255 2764 y Fl(2)2454 2825 y Fk(?)2514 2800 y Fj(=p)2612 2764
37256 y Fl(4)2612 2825 y Fk(?)2670 2800 y Fw(,)j Fj(\033)2782
37257 2815 y Fl(hard)2956 2800 y Fw(is)e(also)g(div)m(ergen)m(t)h(for)0
37258 2908 y Fj(p)49 2923 y Fk(?)p Fl(min)264 2908 y Fn(!)39
37259 b Fw(0.)63 b(W)-8 b(e)39 b(ma)m(y)g(compare)g(this)g(with)g(the)g
37260 (total)f(inelastic,)h(non-di\013ractiv)m(e)f(cross)i(section)0
37261 3017 y Fj(\033)55 3032 y Fl(nd)138 3017 y Fw(\()p Fj(s)p
37262 Fw(\))26 b(|)g(elastic)g(and)h(di\013ractiv)m(e)f(ev)m(en)m(ts)i(are)f
37263 (not)f(the)h(topic)f(of)g(this)g(section.)42 b(A)m(t)27
37264 b(curren)m(t)h(collider)0 3125 y(energies)48 b Fj(\033)439
37265 3140 y Fl(hard)584 3125 y Fw(\()p Fj(p)671 3140 y Fk(?)p
37266 Fl(min)848 3125 y Fw(\))f(b)s(ecomes)g(comparable)f(with)h
37267 Fj(\033)2162 3140 y Fl(nd)2292 3125 y Fw(for)f Fj(p)2504
37268 3140 y Fk(?)p Fl(min)2733 3125 y Fn(\031)p Fw(1.5{2)h(GeV.)g(This)g
37269 (need)0 3233 y(not)37 b(lead)f(to)g(con)m(tradictions:)51
37270 b Fj(\033)1244 3248 y Fl(hard)1427 3233 y Fw(do)s(es)37
37271 b(not)g(giv)m(e)g(the)g(hadron{hadron)f(cross)i(section)f(but)g(the)0
37272 3342 y(parton{parton)c(one.)49 b(Eac)m(h)35 b(of)e(the)i(incoming)c
37273 (hadrons)k(ma)m(y)f(b)s(e)g(view)m(ed)h(as)f(a)g(b)s(eam)g(of)f
37274 (partons,)0 3450 y(with)i(the)h(p)s(ossibilit)m(y)e(of)h(ha)m(ving)g
37275 (sev)m(eral)i(parton{parton)e(in)m(teractions)g(when)h(the)g(hadrons)h
37276 (pass)0 3558 y(through)g(eac)m(h)h(other.)57 b(In)38
37277 b(this)e(language,)h Fj(\033)1718 3573 y Fl(hard)1864
37278 3558 y Fw(\()p Fj(p)1951 3573 y Fk(?)p Fl(min)2128 3558
37279 y Fw(\))p Fj(=\033)2270 3573 y Fl(nd)2352 3558 y Fw(\()p
37280 Fj(s)p Fw(\))g(is)g(simply)f(the)h(a)m(v)m(erage)h(n)m(um)m(b)s(er)0
37281 3667 y(of)28 b(parton{parton)g(scatterings)h(ab)s(o)m(v)m(e)g
37282 Fj(p)1554 3682 y Fk(?)p Fl(min)1760 3667 y Fw(in)f(an)g(ev)m(en)m(t,)j
37283 (and)e(this)f(n)m(um)m(b)s(er)i(ma)m(y)e(w)m(ell)g(b)s(e)h(larger)0
37284 3775 y(than)k(unit)m(y)-8 b(.)146 3883 y(While)32 b(the)g(in)m(tro)s
37285 (duction)f(of)h(sev)m(eral)h(in)m(teractions)f(p)s(er)g(ev)m(en)m(t)j
37286 (is)d(the)g(natural)g(consequence)j(of)0 3992 y(allo)m(wing)23
37287 b(small)g Fj(p)672 4007 y Fk(?)p Fl(min)875 3992 y Fw(v)-5
37288 b(alues)25 b(and)h(hence)h(large)d Fj(\033)1891 4007
37289 y Fl(hard)2063 3992 y Fw(ones,)k(it)c(is)h(not)h(the)g(solution)e(of)h
37290 Fj(\033)3332 4007 y Fl(hard)3478 3992 y Fw(\()p Fj(p)3565
37291 4007 y Fk(?)p Fl(min)3742 3992 y Fw(\))0 4100 y(b)s(eing)34
37292 b(div)m(ergen)m(t)i(for)e Fj(p)893 4115 y Fk(?)p Fl(min)1101
37293 4100 y Fn(!)d Fw(0:)48 b(the)35 b(a)m(v)m(erage)40 b(^)-53
37294 b Fj(s)35 b Fw(of)f(a)g(scattering)h(decreases)i(slo)m(w)m(er)e(with)g
37295 Fj(p)3603 4115 y Fk(?)p Fl(min)0 4208 y Fw(than)22 b(the)g(n)m(um)m(b)s
37296 (er)h(of)e(in)m(teractions)g(increases,)26 b(so)c(na)-11
37297 b(\177)-38 b(\020v)m(ely)21 b(the)i(total)d(amoun)m(t)i(of)f(scattered)
37298 i(partonic)0 4317 y(energy)j(b)s(ecomes)f(in\014nite.)40
37299 b(One)25 b(cut-o\013)f(is)h(therefore)g(obtained)f(via)g(the)h(need)h
37300 (to)f(in)m(tro)s(duce)f(prop)s(er)0 4425 y(m)m(ulti-parton)37
37301 b(correlated)i(parton)h(distributions)e(inside)h(a)h(hadron.)65
37302 b(This)40 b(is)f(not)h(a)f(part)h(of)f(the)0 4533 y(standard)23
37303 b(p)s(erturbativ)m(e)f(QCD)g(formalism)d(and)j(is)g(therefore)h(not)f
37304 (built)e(in)m(to)i(eq.)h(\(158\).)39 b(In)22 b(practice,)0
37305 4642 y(ev)m(en)33 b(correlated)f(parton-distribution)d(functions)i
37306 (seems)i(to)e(pro)m(vide)h(to)s(o)f(w)m(eak)i(a)e(cut,)h(i.e.)43
37307 b(one)32 b(is)0 4750 y(lead)27 b(to)h(a)g(picture)g(with)f(to)s(o)g
37308 (little)f(of)h(the)i(incoming)d(energy)j(remaining)c(in)i(the)i
37309 (small-angle)24 b(b)s(eam)0 4858 y(jet)33 b(region.)146
37310 4967 y(A)d(more)g(credible)f(reason)h(for)g(an)f(e\013ectiv)m(e)i
37311 (cut-o\013)f(is)f(that)h(the)g(incoming)e(hadrons)i(are)g(colour)0
37312 5075 y(neutral)39 b(ob)5 b(jects.)67 b(Therefore,)43
37313 b(when)d(the)h Fj(p)1701 5090 y Fk(?)1799 5075 y Fw(of)f(an)f(exc)m
37314 (hanged)j(gluon)d(is)g(made)h(small)d(and)j(the)0 5183
37315 y(transv)m(erse)45 b(w)m(a)m(v)m(elength)g(corresp)s(ondingly)e(large,)
37316 h(the)g(gluon)e(can)i(no)f(longer)f(resolv)m(e)i(the)f(indi-)0
37317 5292 y(vidual)34 b(colour)h(c)m(harges,)i(and)e(the)h(e\013ectiv)m(e)g
37318 (coupling)e(is)h(decreased.)54 b(This)36 b(mec)m(hanism)e(is)h(not)g
37319 (in)0 5400 y(con)m(tradiction)40 b(to)i(p)s(erturbativ)m(e)f(QCD)h
37320 (calculations,)g(whic)m(h)g(are)f(alw)m(a)m(ys)h(p)s(erformed)f
37321 (assuming)0 5509 y(scattering)34 b(of)g(free)g(partons)h(\(rather)f
37322 (than)g(partons)h(inside)e(hadrons\),)i(but)g(neither)f(do)s(es)h
37323 (presen)m(t)0 5617 y(kno)m(wledge)30 b(of)g(QCD)f(pro)m(vide)h(an)f
37324 (understanding)h(of)f(ho)m(w)i(suc)m(h)g(a)e(decoupling)g(mec)m(hanism)
37325 g(w)m(ould)1817 5953 y(217)p eop
37326 %%Page: 218 224
37327 218 223 bop 0 -18 a Fw(w)m(ork)32 b(in)f(detail.)41 b(In)32
37328 b(the)g(simple)d(mo)s(del)h(one)i(mak)m(es)g(use)g(of)f(a)g(sharp)g
37329 (cut-o\013)g(at)g(some)h(scale)f Fj(p)3576 -3 y Fk(?)p
37330 Fl(min)3752 -18 y Fw(,)0 90 y(while)h(a)g(more)g(smo)s(oth)g(damp)s
37331 (ening)f(is)h(assumed)h(for)f(the)h(complex)f(scenario.)0
37332 338 y Fo(11.2.2)113 b(The)37 b(simple)f(mo)s(del)0 510
37333 y Fw(In)e(an)f(ev)m(en)m(t)i(with)e(sev)m(eral)h(in)m(teractions,)f(it)
37334 f(is)g(con)m(v)m(enien)m(t)j(to)e(imp)s(ose)f(an)i(ordering.)44
37335 b(The)35 b(logical)0 619 y(c)m(hoice)d(is)g(to)g(arrange)f(the)i
37336 (scatterings)f(in)g(falling)c(sequence)35 b(of)d Fj(x)2491
37337 634 y Fk(?)2578 619 y Fw(=)27 b(2)p Fj(p)2779 634 y Fk(?)2838
37338 619 y Fj(=E)2959 634 y Fl(cm)3053 619 y Fw(.)44 b(The)33
37339 b(`\014rst')f(scat-)0 727 y(tering)i(is)g(th)m(us)i(the)f(hardest)g
37340 (one,)g(with)g(the)g(`subsequen)m(t')j(\(`second',)e(`third',)f(etc.\))
37341 50 b(successiv)m(ely)0 835 y(softer.)71 b(It)41 b(is)g(imp)s(ortan)m(t)
37342 f(to)h(remem)m(b)s(er)g(that)g(this)g(terminology)f(is)h(in)f(no)i(w)m
37343 (a)m(y)h(related)e(to)g(an)m(y)0 944 y(picture)34 b(in)f(ph)m(ysical)h
37344 (time;)g(w)m(e)h(do)f(not)g(kno)m(w)h(an)m(ything)f(ab)s(out)f(the)i
37345 (latter.)47 b(In)34 b(principle,)f(all)f(the)0 1052 y(scatterings)40
37346 b(that)g(o)s(ccur)g(in)f(an)h(ev)m(en)m(t)i(m)m(ust)e(b)s(e)g
37347 (correlated)f(someho)m(w,)k(na)-11 b(\177)-38 b(\020v)m(ely)39
37348 b(b)m(y)i(momen)m(tum)0 1160 y(and)32 b(\015a)m(v)m(our)i(conserv)-5
37349 b(ation)32 b(for)g(the)h(partons)f(from)f(eac)m(h)j(incoming)c(hadron,)
37350 i(less)h(na)-11 b(\177)-38 b(\020v)m(ely)32 b(b)m(y)h(v)-5
37351 b(ar-)0 1269 y(ious)31 b(quan)m(tum)h(mec)m(hanical)f(e\013ects.)44
37352 b(When)33 b(a)m(v)m(eraging)e(o)m(v)m(er)i(all)d(con\014gurations)h(of)
37353 g(soft)h(partons,)0 1377 y(ho)m(w)m(ev)m(er,)g(one)d(should)f
37354 (e\013ectiv)m(ely)h(obtain)f(the)h(standard)g(QCD)f(phenomenology)g
37355 (for)g(a)h(hard)f(scat-)0 1485 y(tering,)i(e.g.)43 b(in)30
37356 b(terms)g(of)g(parton)g(distributions.)41 b(Correlation)29
37357 b(e\013ects,)j(kno)m(wn)g(or)e(estimated,)g(can)0 1594
37358 y(b)s(e)h(in)m(tro)s(duced)g(in)g(the)g(c)m(hoice)g(of)g(subsequen)m(t)
37359 j(scatterings,)d(giv)m(en)h(that)e(the)i(`preceding')f(\(harder\))0
37360 1702 y(ones)i(are)g(already)f(kno)m(wn.)146 1810 y(With)38
37361 b(a)g(total)e(cross)j(section)f(of)g(hard)g(in)m(teractions)g
37362 Fj(\033)2245 1825 y Fl(hard)2390 1810 y Fw(\()p Fj(p)2477
37363 1825 y Fk(?)p Fl(min)2654 1810 y Fw(\))g(to)g(b)s(e)g(distributed)g
37364 (among)0 1919 y Fj(\033)55 1934 y Fl(nd)138 1919 y Fw(\()p
37365 Fj(s)p Fw(\))d(\(non-di\013ractiv)m(e,)f(inelastic\))g(ev)m(en)m(ts,)k
37366 (the)d(a)m(v)m(erage)h(n)m(um)m(b)s(er)f(of)g(in)m(teractions)f(p)s(er)
37367 h(ev)m(en)m(t)i(is)0 2027 y(just)30 b(the)g(ratio)p 585
37368 1974 59 4 v 28 w Fj(n)d Fw(=)h Fj(\033)829 2042 y Fl(hard)975
37369 2027 y Fw(\()p Fj(p)1062 2042 y Fk(?)p Fl(min)1238 2027
37370 y Fw(\))p Fj(=\033)1380 2042 y Fl(nd)1463 2027 y Fw(\()p
37371 Fj(s)p Fw(\).)42 b(As)30 b(a)f(starting)g(p)s(oin)m(t)f(w)m(e)j(will)c
37372 (assume)j(that)f(all)e(hadron)0 2135 y(collisions)21
37373 b(are)j(equiv)-5 b(alen)m(t)23 b(\(no)h(impact)e(parameter)h(dep)s
37374 (endence\),)28 b(and)c(that)f(the)h(di\013eren)m(t)g(parton{)0
37375 2244 y(parton)40 b(in)m(teractions)f(tak)m(e)i(place)f(completely)e
37376 (indep)s(enden)m(tly)j(of)f(eac)m(h)h(other.)66 b(The)41
37377 b(n)m(um)m(b)s(er)f(of)0 2352 y(scatterings)32 b(p)s(er)h(ev)m(en)m(t)h
37378 (is)d(then)i(distributed)f(according)f(to)h(a)g(P)m(oissonian)f(with)h
37379 (mean)p 3335 2299 V 32 w Fj(n)p Fw(.)43 b(A)33 b(\014t)f(to)0
37380 2460 y(collider)e(m)m(ultiplicit)m(y)f(data)j(giv)m(es)g
37381 Fj(p)1373 2475 y Fk(?)p Fl(min)1578 2460 y Fn(\031)c
37382 Fw(1)p Fj(:)p Fw(6)j(GeV,)i(whic)m(h)g(corresp)s(onds)g(to)p
37383 3024 2408 V 32 w Fj(n)28 b Fn(\031)g Fw(1.)43 b(F)-8
37384 b(or)32 b(Mon)m(te)0 2569 y(Carlo)g(generation)f(of)i(these)g(in)m
37385 (teractions)f(it)g(is)g(useful)h(to)f(de\014ne)1427 2833
37386 y Fj(f)11 b Fw(\()p Fj(x)1579 2848 y Fk(?)1638 2833 y
37387 Fw(\))28 b(=)1923 2765 y(1)p 1818 2809 260 4 v 1818 2901
37388 a Fj(\033)1873 2916 y Fl(nd)1956 2901 y Fw(\()p Fj(s)p
37389 Fw(\))2142 2765 y(d)p Fj(\033)p 2114 2809 169 4 v 2114
37390 2901 a Fw(d)p Fj(x)2223 2916 y Fk(?)2325 2833 y Fj(;)1205
37391 b Fw(\(159\))0 3109 y(with)34 b(d)p Fj(\033)t(=)p Fw(d)p
37392 Fj(x)495 3124 y Fk(?)590 3109 y Fw(obtained)g(b)m(y)h(analogy)f(with)g
37393 (eq.)51 b(\(157\).)e(Then)36 b Fj(f)11 b Fw(\()p Fj(x)2597
37394 3124 y Fk(?)2656 3109 y Fw(\))35 b(is)f(simply)f(the)i(probabilit)m(y)0
37395 3217 y(to)k(ha)m(v)m(e)h(a)f(parton{parton)f(in)m(teraction)g(at)h
37396 Fj(x)1774 3232 y Fk(?)1834 3217 y Fw(,)h(giv)m(en)g(that)f(the)g(t)m(w)
37397 m(o)h(hadrons)g(undergo)f(a)g(non-)0 3325 y(di\013ractiv)m(e,)32
37398 b(inelastic)f(collision.)146 3434 y(The)37 b(probabilit)m(y)c(that)j
37399 (the)f(hardest)i(in)m(teraction,)e(i.e.)52 b(the)36 b(one)f(with)g
37400 (highest)h Fj(x)3257 3449 y Fk(?)3316 3434 y Fw(,)h(is)e(at)g
37401 Fj(x)3658 3449 y Fk(?)p Fl(1)3752 3434 y Fw(,)0 3542
37402 y(is)d(no)m(w)h(giv)m(en)g(b)m(y)1197 3703 y Fj(f)11
37403 b Fw(\()p Fj(x)1349 3718 y Fk(?)p Fl(1)1444 3703 y Fw(\))17
37404 b(exp)1664 3582 y Fg(\032)1726 3703 y Fn(\000)1820 3586
37405 y Fg(Z)1903 3612 y Fl(1)1866 3775 y Fh(x)1906 3787 y
37406 Fd(?)p Ff(1)2009 3703 y Fj(f)11 b Fw(\()p Fj(x)2161 3662
37407 y Fk(0)2161 3728 y(?)2221 3703 y Fw(\))17 b(d)p Fj(x)2385
37408 3662 y Fk(0)2385 3728 y(?)2444 3582 y Fg(\033)2555 3703
37409 y Fj(;)975 b Fw(\(160\))0 3918 y(i.e.)56 b(the)37 b(na)-11
37410 b(\177)-38 b(\020v)m(e)37 b(probabilit)m(y)e(to)i(ha)m(v)m(e)h(a)e
37411 (scattering)h(at)g Fj(x)2187 3933 y Fk(?)p Fl(1)2318
37412 3918 y Fw(m)m(ultiplied)d(b)m(y)k(the)f(probabilit)m(y)e(that)0
37413 4026 y(there)g(w)m(as)f(no)g(scattering)g(with)f Fj(x)1306
37414 4041 y Fk(?)1399 4026 y Fw(larger)g(than)h Fj(x)1961
37415 4041 y Fk(?)p Fl(1)2056 4026 y Fw(.)47 b(This)34 b(is)f(the)i(familiar)
37416 29 b(exp)s(onen)m(tial)34 b(damp-)0 4135 y(ening)h(in)g(radioactiv)m(e)
37417 f(deca)m(ys,)39 b(encoun)m(tered)e(e.g.)53 b(in)35 b(parton)g(sho)m(w)m
37418 (ers)j(in)d(section)g(10.1.2.)52 b(Using)0 4243 y(the)36
37419 b(same)f(tec)m(hnique)i(as)f(in)f(the)h(pro)s(of)f(of)g(the)h(v)m(eto)g
37420 (algorithm,)d(section)j(4.2,)g(the)g(probabilit)m(y)e(to)0
37421 4351 y(ha)m(v)m(e)g(an)e Fj(i)p Fw(:th)h(scattering)g(at)f(an)g
37422 Fj(x)1305 4366 y Fk(?)p Fh(i)1417 4351 y Fj(<)27 b(x)1575
37423 4366 y Fk(?)p Fh(i)p Fk(\000)p Fl(1)1777 4351 y Fj(<)g
37424 Fn(\001)17 b(\001)g(\001)26 b Fj(<)i(x)2183 4366 y Fk(?)p
37425 Fl(1)2305 4351 y Fj(<)g Fw(1)k(is)g(found)h(to)f(b)s(e)599
37426 4632 y Fj(f)11 b Fw(\()p Fj(x)751 4647 y Fk(?)p Fh(i)834
37427 4632 y Fw(\))1028 4565 y(1)p 899 4609 307 4 v 899 4701
37428 a(\()p Fj(i)22 b Fn(\000)h Fw(1\)!)1232 4511 y Fg(\022)1293
37429 4515 y(Z)1376 4542 y Fl(1)1339 4704 y Fh(x)1379 4716
37430 y Fd(?)p Fe(i)1474 4632 y Fj(f)11 b Fw(\()p Fj(x)1626
37431 4591 y Fk(0)1626 4657 y(?)1685 4632 y Fw(\))17 b(d)p
37432 Fj(x)1849 4591 y Fk(0)1849 4657 y(?)1909 4511 y Fg(\023)1970
37433 4525 y Fh(i)p Fk(\000)p Fl(1)2105 4632 y Fw(exp)2270
37434 4511 y Fg(\032)2333 4632 y Fn(\000)2427 4515 y Fg(Z)2510
37435 4542 y Fl(1)2473 4704 y Fh(x)2513 4716 y Fd(?)p Fe(i)2608
37436 4632 y Fj(f)11 b Fw(\()p Fj(x)2760 4591 y Fk(0)2760 4657
37437 y(?)2819 4632 y Fw(\))17 b(d)p Fj(x)2983 4591 y Fk(0)2983
37438 4657 y(?)3042 4511 y Fg(\033)3153 4632 y Fj(:)377 b Fw(\(161\))0
37439 4903 y(The)43 b(total)d(probabilit)m(y)f(to)j(ha)m(v)m(e)h(a)e
37440 (scattering)h(at)f(a)g(giv)m(en)h Fj(x)2409 4918 y Fk(?)2469
37441 4903 y Fw(,)i(irresp)s(ectiv)m(ely)d(of)g(it)g(b)s(eing)g(the)0
37442 5011 y(\014rst,)35 b(the)g(second)g(or)f(whatev)m(er,)i(ob)m(viously)e
37443 (adds)g(up)h(to)f(giv)m(e)g(bac)m(k)h Fj(f)11 b Fw(\()p
37444 Fj(x)2792 5026 y Fk(?)2851 5011 y Fw(\).)48 b(The)35
37445 b(m)m(ultiple)c(in)m(ter-)0 5119 y(action)f(formalism)e(th)m(us)33
37446 b(retains)e(the)h(correct)g(p)s(erturbativ)m(e)f(QCD)g(expression)i
37447 (for)e(the)h(scattering)0 5228 y(probabilit)m(y)f(at)h(an)m(y)h(giv)m
37448 (en)g Fj(x)1112 5243 y Fk(?)1171 5228 y Fw(.)146 5336
37449 y(With)f(the)h(help)g(of)f(the)h(in)m(tegral)861 5604
37450 y Fj(F)14 b Fw(\()p Fj(x)1031 5619 y Fk(?)1090 5604 y
37451 Fw(\))27 b(=)1259 5487 y Fg(Z)1342 5513 y Fl(1)1305 5676
37452 y Fh(x)1345 5688 y Fd(?)1418 5604 y Fj(f)11 b Fw(\()p
37453 Fj(x)1570 5563 y Fk(0)1570 5629 y(?)1629 5604 y Fw(\))17
37454 b(d)p Fj(x)1793 5563 y Fk(0)1793 5629 y(?)1880 5604 y
37455 Fw(=)2099 5537 y(1)p 1993 5581 260 4 v 1993 5672 a Fj(\033)2048
37456 5687 y Fl(nd)2131 5672 y Fw(\()p Fj(s)p Fw(\))2296 5487
37457 y Fg(Z)2379 5513 y Fh(s=)p Fl(4)2342 5676 y Fh(sx)2415
37458 5653 y Ff(2)2415 5701 y Fd(?)2467 5676 y Fh(=)p Fl(4)2592
37459 5537 y Fw(d)p Fj(\033)p 2568 5581 163 4 v 2568 5672 a
37460 Fw(d)p Fj(p)2671 5638 y Fl(2)2671 5698 y Fk(?)2757 5604
37461 y Fw(d)p Fj(p)2860 5563 y Fl(2)2860 5629 y Fk(?)3557
37462 5604 y Fw(\(162\))1817 5953 y(218)p eop
37463 %%Page: 219 225
37464 219 224 bop 0 -18 a Fw(\(where)36 b(w)m(e)f(assume)g
37465 Fj(F)14 b Fw(\()p Fj(x)976 -3 y Fk(?)1035 -18 y Fw(\))31
37466 b Fn(!)f(1)k Fw(for)g Fj(x)1574 -3 y Fk(?)1664 -18 y
37467 Fn(!)d Fw(0\))j(and)g(its)g(in)m(v)m(erse)i Fj(F)2647
37468 -55 y Fk(\000)p Fl(1)2741 -18 y Fw(,)f(the)g(iterativ)m(e)f(pro)s
37469 (cedure)0 90 y(to)e(generate)h(a)g(c)m(hain)f(of)g(scatterings)h(1)28
37470 b Fj(>)f(x)1683 105 y Fk(?)p Fl(1)1805 90 y Fj(>)h(x)1964
37471 105 y Fk(?)p Fl(2)2086 90 y Fj(>)g Fn(\001)17 b(\001)g(\001)26
37472 b Fj(>)h(x)2492 105 y Fk(?)p Fh(i)2608 90 y Fw(is)33
37473 b(giv)m(en)f(b)m(y)1250 298 y Fj(x)1305 313 y Fk(?)p
37474 Fh(i)1416 298 y Fw(=)c Fj(F)1597 257 y Fk(\000)p Fl(1)1691
37475 298 y Fw(\()p Fj(F)14 b Fw(\()p Fj(x)1899 313 y Fk(?)p
37476 Fh(i)p Fk(\000)p Fl(1)2072 298 y Fw(\))22 b Fn(\000)h
37477 Fw(ln)16 b Fj(R)2404 313 y Fh(i)2432 298 y Fw(\))32 b
37478 Fj(:)1028 b Fw(\(163\))0 506 y(Here)47 b(the)h Fj(R)501
37479 521 y Fh(i)576 506 y Fw(are)f(random)f(n)m(um)m(b)s(ers)h(ev)m(enly)h
37480 (distributed)e(b)s(et)m(w)m(een)j(0)e(and)g(1.)86 b(The)47
37481 b(iterativ)m(e)0 614 y(c)m(hain)c(is)g(started)g(with)g(a)g
37482 (\014ctitious)f Fj(x)1510 629 y Fk(?)p Fl(0)1650 614
37483 y Fw(=)k(1)d(and)g(is)g(terminated)f(when)i Fj(x)3002
37484 629 y Fk(?)p Fh(i)3129 614 y Fw(is)e(smaller)f(than)0
37485 722 y Fj(x)55 737 y Fk(?)p Fl(min)276 722 y Fw(=)i(2)p
37486 Fj(p)493 737 y Fk(?)p Fl(min)669 722 y Fj(=E)790 737
37487 y Fl(cm)885 722 y Fw(.)71 b(Since)42 b Fj(F)56 b Fw(and)42
37488 b Fj(F)1642 686 y Fk(\000)p Fl(1)1778 722 y Fw(are)g(not)f(kno)m(wn)j
37489 (analytically)-8 b(,)41 b(the)h(standard)h(v)m(eto)0
37490 831 y(algorithm)e(is)j(used)i(to)e(generate)h(a)g(m)m(uc)m(h)g(denser)h
37491 (set)f(of)f Fj(x)2358 846 y Fk(?)2462 831 y Fw(v)-5 b(alues,)48
37492 b(whereof)d(only)f(some)g(are)0 939 y(retained)26 b(in)f(the)i(end.)42
37493 b(In)27 b(addition)d(to)i(the)h Fj(p)1680 903 y Fl(2)1680
37494 964 y Fk(?)1765 939 y Fw(of)f(an)g(in)m(teraction,)g(it)f(is)h(also)f
37495 (necessary)k(to)d(generate)0 1048 y(the)33 b(other)g(\015a)m(v)m(our)g
37496 (and)g(kinematics)e(v)-5 b(ariables)32 b(according)g(to)g(the)h(relev)
37497 -5 b(an)m(t)32 b(matrix)f(elemen)m(ts.)146 1156 y(Whereas)k(the)g
37498 (ordinary)e(parton)h(distributions)e(should)i(b)s(e)g(used)h(for)f(the)
37499 g(hardest)h(scattering,)0 1264 y(in)30 b(order)g(to)g(repro)s(duce)i
37500 (standard)e(QCD)h(phenomenology)-8 b(,)30 b(the)h(parton)f
37501 (distributions)f(to)h(b)s(e)g(used)0 1373 y(for)d(subsequen)m(t)j
37502 (scatterings)e(m)m(ust)g(dep)s(end)g(on)g(all)d(preceding)j
37503 Fj(x)g Fw(v)-5 b(alues)27 b(and)h(\015a)m(v)m(ours)h(c)m(hosen.)43
37504 b(W)-8 b(e)0 1481 y(do)28 b(not)h(kno)m(w)g(enough)g(ab)s(out)f(the)h
37505 (hadron)f(w)m(a)m(v)m(e)j(function)d(to)g(write)g(do)m(wn)h(suc)m(h)h
37506 (join)m(t)d(probabilit)m(y)0 1589 y(distributions.)41
37507 b(T)-8 b(o)29 b(tak)m(e)h(in)m(to)f(accoun)m(t)h(the)f(energy)h
37508 (`already')f(used)i(in)d(harder)i(scatterings,)g(a)f(con-)0
37509 1698 y(serv)-5 b(ativ)m(e)32 b(approac)m(h)f(is)g(to)g(ev)-5
37510 b(aluate)30 b(the)i(parton)f(distributions,)f(not)h(at)g
37511 Fj(x)2837 1713 y Fh(i)2896 1698 y Fw(for)g(the)h Fj(i)p
37512 Fw(:th)f(scattered)0 1806 y(parton)h(from)g(hadron,)g(but)h(at)f(the)h
37513 (rescaled)g(v)-5 b(alue)1581 2044 y Fj(x)1636 2002 y
37514 Fk(0)1636 2068 y Fh(i)1692 2044 y Fw(=)1926 1976 y Fj(x)1981
37515 1991 y Fh(i)p 1806 2020 323 4 v 1806 2048 a Fg(P)1894
37516 2074 y Fh(i)p Fk(\000)p Fl(1)1894 2139 y Fh(j)t Fl(=1)2037
37517 2114 y Fj(x)2092 2129 y Fh(j)2171 2044 y Fj(:)1359 b
37518 Fw(\(164\))0 2329 y(This)33 b(is)g(our)g(standard)h(pro)s(cedure)h(in)d
37519 (the)i(program;)e(w)m(e)j(ha)m(v)m(e)f(tried)f(a)g(few)h(alternativ)m
37520 (es)f(without)0 2437 y(\014nding)f(an)m(y)h(signi\014can)m(tly)f
37521 (di\013eren)m(t)h(b)s(eha)m(viour)f(in)g(the)h(\014nal)f(ph)m(ysics.)
37522 146 2546 y(In)38 b(a)e(fraction)g(exp)q(\()p Fn(\000)p
37523 Fj(F)14 b Fw(\()p Fj(x)1157 2561 y Fk(?)p Fl(min)1334
37524 2546 y Fw(\)\))37 b(of)g(the)g(ev)m(en)m(ts)i(studied,)g(there)f(will)d
37525 (b)s(e)i(no)g(hard)g(scattering)0 2654 y(ab)s(o)m(v)m(e)46
37526 b Fj(x)344 2669 y Fk(?)p Fl(min)566 2654 y Fw(when)h(the)e(iterativ)m
37527 (e)g(pro)s(cedure)h(in)e(eq.)i(\(163\))f(is)f(applied.)81
37528 b(It)45 b(is)g(therefore)g(also)0 2762 y(necessary)40
37529 b(to)e(ha)m(v)m(e)i(a)e(mo)s(del)e(for)i(what)g(happ)s(ens)h(in)f(ev)m
37530 (en)m(ts)i(with)e(no)g(\(semi\)hard)f(in)m(teractions.)0
37531 2871 y(The)46 b(simplest)d(p)s(ossible)h(w)m(a)m(y)i(to)f(pro)s(duce)g
37532 (an)g(ev)m(en)m(t)h(is)e(to)h(ha)m(v)m(e)h(an)e(exc)m(hange)j(of)d(a)g
37533 (v)m(ery)j(soft)0 2979 y(gluon)41 b(b)s(et)m(w)m(een)k(the)e(t)m(w)m(o)
37534 g(colliding)c(hadrons.)73 b(Without)42 b(\(initially\))c(a\013ecting)k
37535 (the)h(momen)m(tum)0 3087 y(distribution)i(of)i(partons,)k(the)c
37536 (`hadrons')h(b)s(ecome)f(colour)f(o)s(ctet)h(ob)5 b(jects)48
37537 b(rather)f(than)g(colour)0 3196 y(singlet)29 b(ones.)44
37538 b(If)31 b(only)f(v)-5 b(alence)31 b(quarks)g(are)g(considered,)h(the)f
37539 (colour)f(o)s(ctet)g(state)i(of)e(a)g(bary)m(on)h(can)0
37540 3304 y(b)s(e)e(decomp)s(osed)g(in)m(to)f(a)g(colour)g(triplet)f(quark)i
37541 (and)g(an)f(an)m(titriplet)e(diquark.)43 b(In)28 b(a)h(bary)m(on-bary)m
37542 (on)0 3412 y(collision,)g(one)i(w)m(ould)g(then)h(obtain)e(a)h(t)m(w)m
37543 (o-string)g(picture,)h(with)f(eac)m(h)h(string)f(stretc)m(hed)i(from)d
37544 (the)0 3521 y(quark)e(of)e(one)h(bary)m(on)g(to)g(the)g(diquark)g(of)f
37545 (the)i(other.)41 b(A)27 b(bary)m(on-an)m(tibary)m(on)g(collision)d(w)m
37546 (ould)j(giv)m(e)0 3629 y(one)32 b(string)f(b)s(et)m(w)m(een)j(a)e
37547 (quark)g(and)g(an)g(an)m(tiquark)g(and)f(another)h(one)g(b)s(et)m(w)m
37548 (een)i(a)e(diquark)g(and)g(an)0 3737 y(an)m(tidiquark.)146
37549 3846 y(In)f(a)g(hard)f(in)m(teraction,)g(the)h(n)m(um)m(b)s(er)g(of)f
37550 (p)s(ossible)g(string)g(dra)m(wings)h(are)f(man)m(y)h(more,)f(and)h
37551 (the)0 3954 y(o)m(v)m(erall)j(situation)f(can)j(b)s(ecome)f(quite)g
37552 (complex)f(when)i(sev)m(eral)g(hard)f(scatterings)h(are)f(presen)m(t)h
37553 (in)0 4062 y(an)25 b(ev)m(en)m(t.)43 b(Sp)s(eci\014cally)-8
37554 b(,)26 b(the)g(string)e(dra)m(wing)h(no)m(w)h(dep)s(ends)h(on)f(the)g
37555 (relativ)m(e)e(colour)h(arrangemen)m(t,)0 4171 y(in)37
37556 b(eac)m(h)i(hadron)e(individually)-8 b(,)36 b(of)i(the)g(partons)g
37557 (that)f(are)h(ab)s(out)f(to)h(scatter.)59 b(This)38 b(is)f(a)h(sub)5
37558 b(ject)0 4279 y(ab)s(out)25 b(whic)m(h)h(nothing)e(is)h(kno)m(wn.)42
37559 b(T)-8 b(o)25 b(mak)m(e)h(matters)e(w)m(orse,)29 b(the)c(standard)h
37560 (string)e(fragmen)m(tation)0 4387 y(description)h(w)m(ould)g(ha)m(v)m
37561 (e)h(to)f(b)s(e)g(extended,)k(to)c(handle)g(ev)m(en)m(ts)i(where)g(t)m
37562 (w)m(o)f(or)e(more)h(v)-5 b(alence)25 b(quarks)0 4496
37563 y(ha)m(v)m(e)36 b(b)s(een)g(kic)m(k)m(ed)g(out)f(of)g(an)g(incoming)d
37564 (hadron)j(b)m(y)h(separate)g(in)m(teractions.)50 b(In)35
37565 b(particular,)f(the)0 4604 y(p)s(osition)23 b(of)i(the)g(bary)m(on)h(n)
37566 m(um)m(b)s(er)f(w)m(ould)g(b)s(e)g(unclear.)41 b(W)-8
37567 b(e)26 b(therefore)f(here)h(assume)g(that,)g(follo)m(wing)0
37568 4712 y(the)33 b(hardest)g(in)m(teraction,)f(all)e(subsequen)m(t)36
37569 b(in)m(teractions)c(b)s(elong)g(to)g(one)h(of)f(three)h(classes.)145
37570 4826 y Fn(\017)49 b Fw(Scatterings)32 b(of)f(the)h(gg)d
37571 Fn(!)e Fw(gg)33 b(t)m(yp)s(e,)g(with)e(the)i(t)m(w)m(o)f(gluons)f(in)h
37572 (a)f(colour-singlet)f(state,)i(suc)m(h)244 4934 y(that)23
37573 b(a)h(double)f(string)g(is)g(stretc)m(hed)j(directly)d(b)s(et)m(w)m
37574 (een)i(the)f(t)m(w)m(o)h(outgoing)d(gluons,)j(decoupled)244
37575 5042 y(from)31 b(the)i(rest)g(of)g(the)g(system.)145
37576 5160 y Fn(\017)49 b Fw(Scatterings)38 b(gg)f Fn(!)f Fw(gg)q(,)j(but)f
37577 (colour)f(correlations)f(assumed)i(to)g(b)s(e)g(suc)m(h)h(that)e(eac)m
37578 (h)i(of)e(the)244 5268 y(gluons)27 b(is)h(connected)h(to)f(one)g(of)f
37579 (the)i(strings)e(`already')h(presen)m(t.)43 b(Among)27
37580 b(the)i(di\013eren)m(t)f(p)s(os-)244 5377 y(sibilities)h(of)j
37581 (connecting)g(the)h(colours)f(of)g(the)h(gluons,)f(the)g(one)h(whic)m
37582 (h)g(minimizes)c(the)k(total)244 5485 y(increase)k(in)f(string)g
37583 (length)g(is)g(c)m(hosen.)57 b(This)37 b(is)f(in)g(con)m(trast)h(to)f
37584 (the)h(previous)g(alternativ)m(e,)244 5593 y(whic)m(h)c(roughly)f
37585 (corresp)s(onds)i(to)e(a)g(maximization)d(of)j(the)h(extra)g(string)f
37586 (length.)1817 5953 y(219)p eop
37587 %%Page: 220 226
37588 220 225 bop 145 -18 a Fn(\017)49 b Fw(Scatterings)33
37589 b(gg)c Fn(!)e Fw(q)p 1054 -71 52 4 v(q)q(,)33 b(with)f(the)i(\014nal)e
37590 (pair)f(again)h(in)g(a)g(colour-singlet)f(state,)i(suc)m(h)h(that)f(a)
37591 244 90 y(single)e(string)h(is)g(stretc)m(hed)j(b)s(et)m(w)m(een)g(the)e
37592 (outgoing)e(q)i(and)p 2530 37 V 32 w(q)q(.)0 203 y(By)j(default,)f(the)
37593 h(three)g(p)s(ossibilities)c(are)k(assumed)g(equally)e(probable.)51
37594 b(Note)36 b(that)f(the)h(total)d(jet)0 311 y(rate)i(is)f(main)m(tained)
37595 f(at)i(its)f(nominal)e(v)-5 b(alue,)35 b(i.e.)50 b(scatterings)35
37596 b(suc)m(h)h(as)f(qg)e Fn(!)f Fw(qg)k(are)f(included)f(in)0
37597 420 y(the)k(cross)h(section,)g(but)f(are)f(replaced)h(b)m(y)h(a)e
37598 (mixture)g(of)g(gg)i(and)e(q)p 2614 367 V(q)i(ev)m(en)m(ts)h(for)d
37599 (string)g(dra)m(wing)0 528 y(issues.)67 b(Only)40 b(the)g(hardest)h(in)
37600 m(teraction)e(is)g(guaran)m(teed)i(to)f(giv)m(e)g(strings)g(coupled)g
37601 (to)g(the)g(b)s(eam)0 636 y(remnan)m(ts.)65 b(One)40
37602 b(should)g(not)f(tak)m(e)i(this)e(approac)m(h)h(to)f(colour)g(\015o)m
37603 (w)h(to)s(o)f(seriously)h(|)f(clearly)f(it)0 745 y(is)e(a)f
37604 (simpli\014cation)e(|)i(but)h(the)h(o)m(v)m(erall)e(picture)h(do)s(es)g
37605 (not)g(tend)h(to)f(b)s(e)g(v)m(ery)h(dep)s(enden)m(t)h(on)e(the)0
37606 853 y(particular)31 b(c)m(hoice)i(y)m(ou)g(mak)m(e.)146
37607 961 y(Since)25 b(a)g(gg)k Fn(!)e Fw(gg)f(or)f(q)p 1008
37608 908 V(q)g(scattering)g(need)h(not)f(remain)f(that)g(if)g(initial-)d
37609 (and)k(\014nal-state)f(sho)m(w)m(ers)0 1070 y(w)m(ere)40
37610 b(to)e(b)s(e)g(included,)i(radiation)c(is)i(only)f(included)h(for)g
37611 (the)h(hardest)g(in)m(teraction.)60 b(In)38 b(practice,)0
37612 1178 y(there)k(is)f(no)g(problem:)60 b(except)43 b(for)e(the)g(hardest)
37613 h(in)m(teraction,)h(whic)m(h)f(can)f(b)s(e)h(hard)f(b)s(ecause)i(of)0
37614 1286 y(exp)s(erimen)m(tal)35 b(trigger)h(conditions,)g(it)f(is)h(unlik)
37615 m(ely)g(for)g(a)g(parton)g(scattering)g(to)g(b)s(e)h(so)f(hard)h(that)0
37616 1395 y(radiation)30 b(pla)m(ys)j(a)f(signi\014can)m(t)g(r^)-49
37617 b(ole.)146 1503 y(In)29 b(ev)m(en)m(ts)h(with)e(m)m(ultiple)d(in)m
37618 (teractions,)k(the)f(b)s(eam)g(remnan)m(t)g(treatmen)m(t)g(is)f(sligh)m
37619 (tly)g(mo)s(di\014ed.)0 1611 y(First)39 b(the)i(hard)f(scattering)g(is)
37620 g(generated,)j(with)d(its)g(asso)s(ciated)g(initial-)c(and)41
37621 b(\014nal-state)e(radia-)0 1720 y(tion,)d(and)f(next)i(an)m(y)f
37622 (additional)d(m)m(ultiple)g(in)m(teractions.)53 b(Only)35
37623 b(thereafter)h(are)g(b)s(eam)f(remnan)m(ts)0 1828 y(attac)m(hed)26
37624 b(to)e(the)h(initator)e(partons)i(of)f(the)i(hardest)f(scattering,)h
37625 (using)f(the)g(same)g(mac)m(hinery)g(as)g(b)s(e-)0 1936
37626 y(fore,)30 b(except)g(that)f(the)g(energy)h(and)f(momen)m(tum)e
37627 (already)i(tak)m(en)h(a)m(w)m(a)m(y)g(from)e(the)h(b)s(eam)f(remnan)m
37628 (ts)0 2045 y(also)k(include)g(that)g(of)g(the)h(subsequen)m(t)j(in)m
37629 (teractions.)0 2293 y Fo(11.2.3)113 b(A)37 b(mo)s(del)f(with)g(v)-6
37630 b(arying)37 b(impact)f(parameters)0 2465 y Fw(Up)41 b(to)g(this)f(p)s
37631 (oin)m(t,)i(it)e(has)h(b)s(een)h(assumed)f(that)g(the)g(initial)c
37632 (state)k(is)g(the)g(same)f(for)h(all)d(hadron)0 2574
37633 y(collisions,)29 b(whereas)34 b(in)d(fact)h(eac)m(h)g(collision)d(also)
37634 i(is)g(c)m(haracterized)i(b)m(y)g(a)e(v)-5 b(arying)32
37635 b(impact)e(param-)0 2682 y(eter)36 b Fj(b)p Fw(.)55 b(Within)34
37636 b(the)j(classical)d(framew)m(ork)i(of)f(this)h(pap)s(er,)h
37637 Fj(b)f Fw(is)g(to)f(b)s(e)i(though)m(t)f(of)f(as)h(a)g(distance)0
37638 2790 y(of)42 b(closest)g(approac)m(h,)j(not)d(as)h(the)f(F)-8
37639 b(ourier)41 b(transform)h(of)f(the)i(momen)m(tum)e(transfer.)73
37640 b(A)42 b(small)0 2899 y Fj(b)37 b Fw(v)-5 b(alue)37 b(corresp)s(onds)h
37641 (to)f(a)f(large)g(o)m(v)m(erlap)h(b)s(et)m(w)m(een)i(the)e(t)m(w)m(o)h
37642 (colliding)c(hadrons,)k(and)f(hence)i(an)0 3007 y(enhanced)32
37643 b(probabilit)m(y)d(for)h(m)m(ultiple)e(in)m(teractions.)42
37644 b(A)31 b(large)e Fj(b)p Fw(,)j(on)e(the)h(other)g(hand,)g(corresp)s
37645 (onds)0 3115 y(to)36 b(a)g(grazing)g(collision,)e(with)j(a)f(large)f
37646 (probabilit)m(y)g(that)h(no)h(parton{parton)e(in)m(teractions)h(at)h
37647 (all)0 3224 y(tak)m(e)c(place.)146 3332 y(In)28 b(order)g(to)g(quan)m
37648 (tify)f(the)i(concept)f(of)g(hadronic)f(matter)g(o)m(v)m(erlap,)i(one)f
37649 (ma)m(y)f(assume)h(a)g(spheri-)0 3440 y(cally)22 b(symmetric)g
37650 (distribution)f(of)h(matter)h(inside)f(the)h(hadron,)i
37651 Fj(\032)p Fw(\()p Fo(x)p Fw(\))17 b(d)2651 3404 y Fl(3)2691
37652 3440 y Fj(x)28 b Fw(=)f Fj(\032)p Fw(\()p Fj(r)s Fw(\))17
37653 b(d)3121 3404 y Fl(3)3161 3440 y Fj(x)p Fw(.)40 b(F)-8
37654 b(or)22 b(simplic-)0 3549 y(it)m(y)-8 b(,)39 b(the)f(same)f(spatial)f
37655 (distribution)g(is)h(tak)m(en)i(to)e(apply)g(for)g(all)f(parton)h(sp)s
37656 (ecies)i(and)f(momen)m(ta.)0 3657 y(Sev)m(eral)k(di\013eren)m(t)g
37657 (matter)f(distributions)f(ha)m(v)m(e)k(b)s(een)e(tried,)i(and)e(are)f
37658 (a)m(v)-5 b(ailable.)69 b(W)-8 b(e)42 b(will)e(here)0
37659 3765 y(concen)m(trate)34 b(on)e(the)h(most)f(extreme)i(one,)f(a)f
37660 (double)g(Gaussian)937 4042 y Fj(\032)p Fw(\()p Fj(r)s
37661 Fw(\))c Fn(/)1253 3975 y Fw(1)22 b Fn(\000)g Fj(\014)p
37662 1253 4019 232 4 v 1323 4110 a(a)1374 4076 y Fl(3)1374
37663 4132 y(1)1527 4042 y Fw(exp)1693 3896 y Fg(\()1760 4042
37664 y Fn(\000)1849 3975 y Fj(r)1896 3938 y Fl(2)p 1847 4019
37665 91 4 v 1847 4110 a Fj(a)1898 4076 y Fl(2)1898 4132 y(1)1948
37666 3896 y Fg(\))2037 4042 y Fw(+)2160 3975 y Fj(\014)p 2145
37667 4019 V 2145 4110 a(a)2196 4076 y Fl(3)2196 4132 y(2)2279
37668 4042 y Fw(exp)2444 3896 y Fg(\()2511 4042 y Fn(\000)2600
37669 3975 y Fj(r)2647 3938 y Fl(2)p 2598 4019 V 2598 4110
37670 a Fj(a)2649 4076 y Fl(2)2649 4132 y(2)2699 3896 y Fg(\))2815
37671 4042 y Fj(:)715 b Fw(\(165\))0 4319 y(This)30 b(corresp)s(onds)i(to)e
37672 (a)g(distribution)e(with)i(a)g(small)e(core)i(region,)g(of)g(radius)g
37673 Fj(a)3002 4334 y Fl(2)3072 4319 y Fw(and)g(con)m(taining)f(a)0
37674 4427 y(fraction)h Fj(\014)38 b Fw(of)31 b(the)h(total)e(hadronic)h
37675 (matter,)g(em)m(b)s(edded)h(in)f(a)h(larger)e(hadron)h(of)h(radius)f
37676 Fj(a)3418 4442 y Fl(1)3457 4427 y Fw(.)44 b(While)0 4535
37677 y(it)37 b(is)h(mathematically)d(con)m(v)m(enien)m(t)40
37678 b(to)f(ha)m(v)m(e)g(the)g(origin)e(of)h(the)g(t)m(w)m(o)i(Gaussians)e
37679 (coinciding,)g(the)0 4644 y(ph)m(ysics)29 b(could)f(w)m(ell)f(corresp)s
37680 (ond)i(to)e(ha)m(ving)h(three)h(disjoin)m(t)d(core)i(regions,)h
37681 (re\015ecting)f(the)g(presence)0 4752 y(of)34 b(three)i(v)-5
37682 b(alence)35 b(quarks,)h(together)f(carrying)g(the)g(fraction)e
37683 Fj(\014)41 b Fw(of)34 b(the)h(proton)g(momen)m(tum.)48
37684 b(One)0 4861 y(could)26 b(alternativ)m(ely)e(imagine)g(a)i(hard)g
37685 (hadronic)f(core)i(surrounded)g(b)m(y)g(a)f(pion)f(cloud.)41
37686 b(Suc)m(h)28 b(details)0 4969 y(w)m(ould)j(a\013ect)g(e.g.)43
37687 b(the)31 b(predictions)g(for)f(the)h Fj(t)g Fw(distribution)e(in)h
37688 (elastic)g(scattering,)h(but)g(are)g(not)g(of)0 5077
37689 y(an)m(y)e(consequence)h(for)e(the)g(curren)m(t)h(topics.)42
37690 b(T)-8 b(o)28 b(b)s(e)g(sp)s(eci\014c,)h(the)g(v)-5 b(alues)27
37691 b Fj(\014)34 b Fw(=)27 b(0)p Fj(:)p Fw(5)h(and)g Fj(a)3345
37692 5092 y Fl(2)3384 5077 y Fj(=a)3484 5092 y Fl(1)3551 5077
37693 y Fw(=)g(0)p Fj(:)p Fw(2)0 5186 y(ha)m(v)m(e)44 b(b)s(een)f(pic)m(k)m
37694 (ed)g(as)g(default)f(v)-5 b(alues.)72 b(It)43 b(should)f(b)s(e)h(noted)
37695 f(that)h(the)f(o)m(v)m(erall)g(distance)g(scale)0 5294
37696 y Fj(a)51 5309 y Fl(1)132 5294 y Fw(nev)m(er)h(en)m(ters)g(in)e(the)h
37697 (subsequen)m(t)i(calculations,)e(since)g(the)g(inelastic,)g
37698 (non-di\013ractiv)m(e)f(cross)0 5402 y(section)33 b Fj(\033)381
37699 5417 y Fl(nd)464 5402 y Fw(\()p Fj(s)p Fw(\))f(is)g(tak)m(en)i(from)d
37700 (literature)g(rather)i(than)f(calculated)g(from)f(the)i
37701 Fj(\032)p Fw(\()p Fj(r)s Fw(\).)146 5511 y(Compared)f(to)f(other)h
37702 (shap)s(es,)h(lik)m(e)e(a)g(simple)f(Gaussian,)i(the)g(double)f
37703 (Gaussian)g(tends)i(to)f(giv)m(e)0 5619 y(larger)23 b(\015uctuations,)j
37704 (e.g.)41 b(in)24 b(the)h(m)m(ultiplicit)m(y)20 b(distribution)j(of)h
37705 (minim)m(um)d(bias)j(ev)m(en)m(ts:)41 b(a)25 b(collision)1817
37706 5953 y(220)p eop
37707 %%Page: 221 227
37708 221 226 bop 0 -18 a Fw(in)23 b(whic)m(h)h(the)g(t)m(w)m(o)h(cores)f(o)m
37709 (v)m(erlap)g(tends)h(to)f(ha)m(v)m(e)h(a)e(strongly)h(increased)g
37710 (activit)m(y)-8 b(,)25 b(while)e(ones)h(where)0 90 y(they)33
37711 b(do)f(not)f(are)h(rather)g(less)g(activ)m(e.)44 b(One)32
37712 b(also)f(has)h(a)g(biasing)e(e\013ect:)44 b(hard)32 b(pro)s(cesses)i
37713 (are)e(more)0 198 y(lik)m(ely)46 b(when)i(the)g(cores)g(o)m(v)m(erlap,)
37714 j(th)m(us)d(hard)f(scatterings)g(are)g(asso)s(ciated)g(with)g(an)g
37715 (enhanced)0 307 y(m)m(ultiple)40 b(in)m(teraction)h(rate.)74
37716 b(This)42 b(pro)m(vides)i(one)e(p)s(ossible)g(explanation)g(for)g(the)g
37717 (exp)s(erimen)m(tal)0 415 y(`p)s(edestal)33 b(e\013ect'.)146
37718 523 y(F)-8 b(or)28 b(a)g(collision)e(with)i(impact)f(parameter)h
37719 Fj(b)p Fw(,)i(the)f(time-in)m(tegrated)d(o)m(v)m(erlap)j
37720 Fn(O)s Fw(\()p Fj(b)p Fw(\))f(b)s(et)m(w)m(een)j(the)0
37721 632 y(matter)h(distributions)f(of)h(the)h(colliding)c(hadrons)k(is)f
37722 (giv)m(en)h(b)m(y)371 862 y Fn(O)s Fw(\()p Fj(b)p Fw(\))28
37723 b Fn(/)703 745 y Fg(Z)803 862 y Fw(d)p Fj(t)909 745 y
37724 Fg(Z)1008 862 y Fw(d)1062 821 y Fl(3)1102 862 y Fj(x)17
37725 b(\032)p Fw(\()p Fj(x;)g(y)t(;)g(z)t Fw(\))g Fj(\032)p
37726 Fw(\()p Fj(x)22 b Fw(+)g Fj(b;)17 b(y)t(;)g(z)26 b Fw(+)c
37727 Fj(t)p Fw(\))371 1112 y Fn(/)486 1045 y Fw(\(1)g Fn(\000)g
37728 Fj(\014)6 b Fw(\))793 1009 y Fl(2)p 486 1089 347 4 v
37729 589 1181 a Fw(2)p Fj(a)689 1146 y Fl(2)689 1202 y(1)859
37730 1112 y Fw(exp)1024 966 y Fg(\()1091 1112 y Fn(\000)1208
37731 1045 y Fj(b)1249 1009 y Fl(2)p 1178 1089 140 4 v 1178
37732 1181 a Fw(2)p Fj(a)1278 1146 y Fl(2)1278 1202 y(1)1328
37733 966 y Fg(\))1417 1112 y Fw(+)1525 1045 y(2)p Fj(\014)g
37734 Fw(\(1)21 b Fn(\000)i Fj(\014)6 b Fw(\))p 1525 1089 417
37735 4 v 1583 1181 a Fj(a)1634 1146 y Fl(2)1634 1202 y(1)1695
37736 1181 y Fw(+)22 b Fj(a)1844 1146 y Fl(2)1844 1202 y(2)1968
37737 1112 y Fw(exp)2134 966 y Fg(\()2201 1112 y Fn(\000)2398
37738 1045 y Fj(b)2439 1009 y Fl(2)p 2288 1089 302 4 v 2288
37739 1181 a Fj(a)2339 1146 y Fl(2)2339 1202 y(1)2401 1181
37740 y Fw(+)g Fj(a)2550 1146 y Fl(2)2550 1202 y(2)2599 966
37741 y Fg(\))2688 1112 y Fw(+)2816 1045 y Fj(\014)2877 1009
37742 y Fl(2)p 2796 1089 140 4 v 2796 1181 a Fw(2)p Fj(a)2896
37743 1146 y Fl(2)2896 1202 y(2)2962 1112 y Fw(exp)3128 966
37744 y Fg(\()3195 1112 y Fn(\000)3312 1045 y Fj(b)3353 1009
37745 y Fl(2)p 3282 1089 V 3282 1181 a Fw(2)p Fj(a)3382 1146
37746 y Fl(2)3382 1202 y(2)3432 966 y Fg(\))3548 1112 y Fj(:)-18
37747 b Fw(\(166\))0 1381 y(The)30 b(necessit)m(y)g(to)f(use)g(b)s(o)s(osted)
37748 g Fj(\032)p Fw(\()p Fo(x)p Fw(\))g(distributions)f(has)h(b)s(een)g
37749 (circum)m(v)m(en)m(ted)i(b)m(y)e(a)g(suitable)e(scale)0
37750 1489 y(transformation)j(of)j(the)g Fj(z)k Fw(and)32 b
37751 Fj(t)h Fw(co)s(ordinates.)146 1597 y(The)23 b(o)m(v)m(erlap)f
37752 Fn(O)s Fw(\()p Fj(b)p Fw(\))h(is)e(ob)m(viously)h(strongly)g(related)g
37753 (to)f(the)i(eik)m(onal)e(\012\()p Fj(b)p Fw(\))h(of)g(optical)e(mo)s
37754 (dels.)39 b(W)-8 b(e)0 1706 y(ha)m(v)m(e)23 b(k)m(ept)h(a)d(separate)i
37755 (notation,)g(since)f(the)h(ph)m(ysics)g(con)m(text)h(of)d(the)i(t)m(w)m
37756 (o)f(is)g(sligh)m(tly)e(di\013eren)m(t:)39 b(\012\()p
37757 Fj(b)p Fw(\))0 1814 y(is)d(based)i(on)e(the)h(quan)m(tum)g(mec)m
37758 (hanical)e(scattering)h(of)g(w)m(a)m(v)m(es)j(in)d(a)g(p)s(oten)m
37759 (tial,)g(and)h(is)f(normally)0 1922 y(used)i(to)f(describ)s(e)h(the)g
37760 (elastic)e(scattering)h(of)g(a)g(hadron-as-a-whole,)g(while)g
37761 Fn(O)s Fw(\()p Fj(b)p Fw(\))g(comes)h(from)e(a)0 2031
37762 y(purely)c(classical)f(picture)h(of)f(p)s(oin)m(t-lik)m(e)f(partons)i
37763 (distributed)g(inside)f(the)i(t)m(w)m(o)f(colliding)d(hadrons.)0
37764 2139 y(F)-8 b(urthermore,)35 b(the)g(normalization)c(and)k(energy)h
37765 (dep)s(endence)h(is)d(di\013eren)m(tly)h(realized)f(in)g(the)h(t)m(w)m
37766 (o)0 2247 y(formalisms.)146 2356 y(The)24 b(larger)e(the)h(o)m(v)m
37767 (erlap)g Fn(O)s Fw(\()p Fj(b)p Fw(\))h(is,)g(the)g(more)e(lik)m(ely)g
37768 (it)g(is)g(to)h(ha)m(v)m(e)h(in)m(teractions)e(b)s(et)m(w)m(een)j
37769 (partons)0 2464 y(in)32 b(the)h(t)m(w)m(o)g(colliding)c(hadrons.)44
37770 b(In)33 b(fact,)g(there)g(should)f(b)s(e)h(a)f(linear)f(relationship)
37771 1541 2658 y Fn(h)5 b Fw(~)-54 b Fj(n)p Fw(\()p Fj(b)p
37772 Fw(\))p Fn(i)28 b Fw(=)f Fj(k)s Fn(O)s Fw(\()p Fj(b)p
37773 Fw(\))33 b Fj(;)1319 b Fw(\(167\))0 2852 y(where)53 b(~)-54
37774 b Fj(n)52 b Fw(=)g(0)p Fj(;)17 b Fw(1)p Fj(;)g Fw(2)p
37775 Fj(;)g(:)g(:)g(:)45 b Fw(coun)m(ts)j(the)g(n)m(um)m(b)s(er)f(of)f(in)m
37776 (teractions)h(when)h(t)m(w)m(o)f(hadrons)h(pass)g(eac)m(h)0
37777 2961 y(other)37 b(with)g(an)g(impact)e(parameter)i Fj(b)p
37778 Fw(.)57 b(The)38 b(constan)m(t)g(of)f(prop)s(ortionalit)m(y)-8
37779 b(,)35 b Fj(k)s Fw(,)j(is)f(related)f(to)h(the)0 3069
37780 y(parton{parton)32 b(cross)h(section)g(and)g(hence)h(increases)f(with)g
37781 (c.m.)43 b(energy)-8 b(.)146 3177 y(F)g(or)40 b(eac)m(h)i(giv)m(en)f
37782 (impact)e(parameter,)k(the)e(n)m(um)m(b)s(er)g(of)g(in)m(teractions)f
37783 (is)g(assumed)i(to)e(b)s(e)h(dis-)0 3286 y(tributed)29
37784 b(according)f(to)g(a)h(P)m(oissonian.)42 b(If)29 b(the)g(matter)f
37785 (distribution)f(has)i(a)g(tail)d(to)j(in\014nit)m(y)f(\(as)h(the)0
37786 3394 y(double)35 b(Gaussian)g(do)s(es\),)i(ev)m(en)m(ts)h(ma)m(y)d(b)s
37787 (e)h(obtained)e(with)i(arbitrarily)c(large)j Fj(b)g Fw(v)-5
37788 b(alues.)53 b(In)35 b(order)0 3503 y(to)41 b(obtain)f(\014nite)h(total)
37789 e(cross)j(sections,)i(it)c(is)h(necessary)i(to)e(assume)h(that)e(eac)m
37790 (h)i(ev)m(en)m(t)h(con)m(tains)0 3611 y(at)32 b(least)g(one)h
37791 (semi-hard)e(in)m(teraction.)43 b(The)33 b(probabilit)m(y)e(that)h(t)m
37792 (w)m(o)h(hadrons,)g(passing)g(eac)m(h)g(other)0 3719
37793 y(with)f(an)h(impact)e(parameter)h Fj(b)p Fw(,)h(will)d(actually)i
37794 (undergo)g(a)h(collision)c(is)j(then)i(giv)m(en)e(b)m(y)865
37795 3913 y Fn(P)934 3928 y Fl(in)n(t)1023 3913 y Fw(\()p
37796 Fj(b)p Fw(\))c(=)f(1)22 b Fn(\000)h Fw(exp)q(\()p Fn(\000h)5
37797 b Fw(~)-54 b Fj(n)p Fw(\()p Fj(b)p Fw(\))p Fn(i)p Fw(\))28
37798 b(=)f(1)22 b Fn(\000)h Fw(exp)q(\()p Fn(\000)p Fj(k)s
37799 Fn(O)s Fw(\()p Fj(b)p Fw(\)\))33 b Fj(;)643 b Fw(\(168\))0
37800 4108 y(according)24 b(to)g(P)m(oissonian)g(statistics.)40
37801 b(The)26 b(a)m(v)m(erage)f(n)m(um)m(b)s(er)g(of)f(in)m(teractions)g(p)s
37802 (er)g(ev)m(en)m(t)j(at)d(impact)0 4216 y(parameter)32
37803 b Fj(b)h Fw(is)f(no)m(w)1082 4386 y Fn(h)p Fj(n)p Fw(\()p
37804 Fj(b)p Fw(\))p Fn(i)27 b Fw(=)1487 4318 y Fn(h)5 b Fw(~)-54
37805 b Fj(n)p Fw(\()p Fj(b)p Fw(\))p Fn(i)p 1476 4362 276
37806 4 v 1476 4454 a(P)1545 4469 y Fl(in)n(t)1634 4454 y Fw(\()p
37807 Fj(b)p Fw(\))1788 4386 y(=)2138 4318 y Fj(k)s Fn(O)s
37808 Fw(\()p Fj(b)p Fw(\))p 1902 4362 727 4 v 1902 4454 a(1)22
37809 b Fn(\000)h Fw(exp)q(\()p Fn(\000)p Fj(k)s Fn(O)s Fw(\()p
37810 Fj(b)p Fw(\)\))2671 4386 y Fj(;)859 b Fw(\(169\))0 4604
37811 y(where)36 b(the)f(denominator)d(comes)j(from)e(the)i(remo)m(v)-5
37812 b(al)33 b(of)h(hadron)h(pairs)f(whic)m(h)g(pass)i(without)e(col-)0
37813 4713 y(liding,)c(i.e.)43 b(with)37 b(~)-54 b Fj(n)28
37814 b Fw(=)g(0.)146 4821 y(The)33 b(relationship)d Fn(h)p
37815 Fj(n)p Fn(i)e Fw(=)f Fj(\033)1199 4836 y Fl(hard)1345
37816 4821 y Fj(=\033)1449 4836 y Fl(nd)1564 4821 y Fw(w)m(as)33
37817 b(earlier)d(in)m(tro)s(duced)j(for)e(the)i(a)m(v)m(erage)g(n)m(um)m(b)s
37818 (er)f(of)g(in-)0 4929 y(teractions)27 b(p)s(er)h(non-di\013ractiv)m(e,)
37819 f(inelastic)f(ev)m(en)m(t.)43 b(When)28 b(a)m(v)m(eraged)h(o)m(v)m(er)f
37820 (all)e(impact)f(parameters,)0 5038 y(this)h(relation)f(m)m(ust)i(still)
37821 d(hold)i(true:)41 b(the)27 b(in)m(tro)s(duction)f(of)g(v)-5
37822 b(ariable)25 b(impact)g(parameters)i(ma)m(y)g(giv)m(e)0
37823 5146 y(more)33 b(in)m(teractions)g(in)g(some)h(ev)m(en)m(ts)i(and)e
37824 (less)g(in)f(others,)i(but)f(it)f(do)s(es)h(not)g(a\013ect)g(either)f
37825 Fj(\033)3513 5161 y Fl(hard)3693 5146 y Fw(or)0 5255
37826 y Fj(\033)55 5270 y Fl(nd)138 5255 y Fw(.)63 b(F)-8 b(or)38
37827 b(the)i(former)e(this)h(is)f(b)s(ecause)j(the)e(p)s(erturbativ)m(e)h
37828 (QCD)f(calculations)e(only)h(dep)s(end)j(on)0 5363 y(the)29
37829 b(total)d(parton)i(\015ux,)i(for)e(the)g(latter)f(b)m(y)j
37830 (construction.)42 b(In)m(tegrating)27 b(eq.)i(\(169\))f(o)m(v)m(er)h
37831 Fj(b)p Fw(,)g(one)g(then)0 5471 y(obtains)568 5626 y
37832 Fn(h)p Fj(n)p Fn(i)e Fw(=)845 5487 y Fg(R)900 5558 y
37833 Fn(h)p Fj(n)p Fw(\()p Fj(b)p Fw(\))p Fn(i)17 b(P)1239
37834 5573 y Fl(in)n(t)1327 5558 y Fw(\()p Fj(b)p Fw(\))g(d)1515
37835 5522 y Fl(2)1555 5558 y Fj(b)p 845 5603 752 4 v 971 5623
37836 a Fg(R)1043 5694 y Fn(P)1112 5709 y Fl(in)n(t)1201 5694
37837 y Fw(\()p Fj(b)p Fw(\))g(d)1389 5665 y Fl(2)1428 5694
37838 y Fj(b)1634 5626 y Fw(=)2030 5487 y Fg(R)2102 5558 y
37839 Fj(k)s Fn(O)s Fw(\()p Fj(b)p Fw(\))g(d)2426 5522 y Fl(2)2466
37840 5558 y Fj(b)p 1748 5603 1043 4 v 1748 5623 a Fg(R)1820
37841 5694 y Fw(\(1)k Fn(\000)i Fw(exp)q(\()p Fn(\000)p Fj(k)s
37842 Fn(O)s Fw(\()p Fj(b)p Fw(\)\)\))34 b(d)2709 5665 y Fl(2)2749
37843 5694 y Fj(b)2828 5626 y Fw(=)2941 5558 y Fj(\033)2996
37844 5573 y Fl(hard)p 2941 5603 201 4 v 2973 5694 a Fj(\033)3028
37845 5709 y Fl(nd)3185 5626 y Fj(:)345 b Fw(\(170\))1817 5953
37846 y(221)p eop
37847 %%Page: 222 228
37848 222 227 bop 0 -18 a Fw(F)-8 b(or)35 b Fn(O)s Fw(\()p
37849 Fj(b)p Fw(\),)i Fj(\033)496 -3 y Fl(hard)677 -18 y Fw(and)f
37850 Fj(\033)925 -3 y Fl(nd)1044 -18 y Fw(giv)m(en,)g(with)g
37851 Fj(\033)1610 -3 y Fl(hard)1755 -18 y Fj(=\033)1859 -3
37852 y Fl(nd)1975 -18 y Fj(>)d Fw(1,)j Fj(k)j Fw(can)d(th)m(us)h(alw)m(a)m
37853 (ys)f(b)s(e)g(found)g(\(n)m(umeri-)0 90 y(cally\))31
37854 b(b)m(y)j(solving)d(the)i(last)f(equalit)m(y)-8 b(.)146
37855 198 y(The)40 b(absolute)f(normalization)c(of)j Fn(O)s
37856 Fw(\()p Fj(b)p Fw(\))h(is)f(not)h(in)m(teresting)f(in)g(itself,)i(but)f
37857 (only)f(the)h(relativ)m(e)0 307 y(v)-5 b(ariation)42
37858 b(with)i(impact)f(parameter.)79 b(It)45 b(is)f(therefore)h(useful)g(to)
37859 f(in)m(tro)s(duce)g(an)h(`enhancemen)m(t)0 415 y(factor')j
37860 Fj(e)p Fw(\()p Fj(b)p Fw(\),)54 b(whic)m(h)49 b(gauges)g(ho)m(w)h(the)f
37861 (in)m(teraction)e(probabilit)m(y)g(for)h(a)h(passage)g(with)g(impact)0
37862 523 y(parameter)32 b Fj(b)h Fw(compares)g(with)f(the)h(a)m(v)m(erage,)h
37863 (i.e.)1220 731 y Fn(h)5 b Fw(~)-54 b Fj(n)p Fw(\()p Fj(b)p
37864 Fw(\))p Fn(i)28 b Fw(=)g Fj(k)s Fn(O)s Fw(\()p Fj(b)p
37865 Fw(\))g(=)f Fj(e)p Fw(\()p Fj(b)p Fw(\))17 b Fn(h)p Fj(k)s
37866 Fn(O)s Fw(\()p Fj(b)p Fw(\))p Fn(i)33 b Fj(:)998 b Fw(\(171\))0
37867 939 y(The)32 b(de\014nition)f(of)g(the)h(a)m(v)m(erage)g
37868 Fn(h)p Fj(k)s Fn(O)s Fw(\()p Fj(b)p Fw(\))p Fn(i)g Fw(is)f(a)g(bit)g
37869 (delicate,)g(since)h(the)g(a)m(v)m(erage)g(n)m(um)m(b)s(er)g(of)f(in)m
37870 (ter-)0 1048 y(actions)37 b(p)s(er)h(ev)m(en)m(t)i(is)d(pushed)j(up)e
37871 (b)m(y)h(the)f(requiremen)m(t)g(that)g(eac)m(h)g(ev)m(en)m(t)i(con)m
37872 (tain)d(at)h(least)f(one)0 1156 y(in)m(teraction.)42
37873 b(Ho)m(w)m(ev)m(er,)35 b(an)e(exact)g(meaning)e(can)i(b)s(e)g(giv)m(en)
37874 g([Sj\177)-49 b(o87a)o(].)146 1264 y(With)32 b(the)h(kno)m(wledge)h(of)
37875 e Fj(e)p Fw(\()p Fj(b)p Fw(\),)h(the)g Fj(f)11 b Fw(\()p
37876 Fj(x)1691 1279 y Fk(?)1750 1264 y Fw(\))33 b(function)f(of)g(the)h
37877 (simple)e(mo)s(del)g(generalizes)h(to)1413 1472 y Fj(f)11
37878 b Fw(\()p Fj(x)1565 1487 y Fk(?)1624 1472 y Fj(;)17 b(b)p
37879 Fw(\))28 b(=)g Fj(e)p Fw(\()p Fj(b)p Fw(\))17 b Fj(f)11
37880 b Fw(\()p Fj(x)2210 1487 y Fk(?)2269 1472 y Fw(\))32
37881 b Fj(:)1191 b Fw(\(172\))0 1680 y(The)33 b(na)-11 b(\177)-38
37882 b(\020v)m(e)31 b(generation)g(pro)s(cedure)i(is)e(th)m(us)i(to)e(pic)m
37883 (k)h(a)g Fj(b)g Fw(according)f(to)g(the)i(phase)f(space)h(d)3477
37884 1644 y Fl(2)3517 1680 y Fj(b)p Fw(,)f(\014nd)0 1788 y(the)g(relev)-5
37885 b(an)m(t)32 b Fj(e)p Fw(\()p Fj(b)p Fw(\))g(and)g(plug)f(in)g(the)i
37886 (resulting)d Fj(f)11 b Fw(\()p Fj(x)1967 1803 y Fk(?)2027
37887 1788 y Fj(;)17 b(b)p Fw(\))31 b(in)h(the)g(formalism)c(of)j(the)i
37888 (simple)d(mo)s(del.)0 1897 y(If)37 b(at)f(least)h(one)g(hard)g(in)m
37889 (teraction)f(is)g(generated,)j(the)e(ev)m(en)m(t)i(is)e(retained,)g
37890 (else)h(a)e(new)i Fj(b)f Fw(is)g(to)f(b)s(e)0 2005 y(found.)68
37891 b(This)41 b(algorithm)c(w)m(ould)k(w)m(ork)h(\014ne)f(for)f(hadronic)g
37892 (matter)g(distributions)f(whic)m(h)j(v)-5 b(anish)0 2114
37893 y(outside)29 b(some)g(radius,)g(so)h(that)e(the)i(d)1434
37894 2077 y Fl(2)1474 2114 y Fj(b)f Fw(phase)h(space)g(whic)m(h)g(needs)g
37895 (to)f(b)s(e)g(prob)s(ed)h(is)e(\014nite.)42 b(Since)0
37896 2222 y(this)32 b(is)g(not)h(true)g(for)f(the)h(distributions)e(under)i
37897 (study)-8 b(,)34 b(it)e(is)g(necessary)j(to)d(do)g(b)s(etter.)146
37898 2330 y(By)43 b(analogy)d(with)i(eq.)g(\(160\),)i(it)c(is)i(p)s(ossible)
37899 f(to)g(ask)i(what)f(the)g(probabilit)m(y)e(is)h(to)h(\014nd)g(the)0
37900 2439 y(hardest)35 b(scattering)f(of)g(an)g(ev)m(en)m(t)i(at)e
37901 Fj(x)1486 2454 y Fk(?)p Fl(1)1581 2439 y Fw(.)48 b(F)-8
37902 b(or)34 b(eac)m(h)h(impact)e(parameter)g(separately)-8
37903 b(,)35 b(the)g(proba-)0 2547 y(bilit)m(y)30 b(to)h(ha)m(v)m(e)i(an)e
37904 (in)m(teraction)f(at)h Fj(x)1392 2562 y Fk(?)p Fl(1)1519
37905 2547 y Fw(is)g(giv)m(en)g(b)m(y)i Fj(f)11 b Fw(\()p Fj(x)2156
37906 2562 y Fk(?)2215 2547 y Fj(;)17 b(b)p Fw(\),)32 b(and)f(this)g(should)h
37907 (b)s(e)f(m)m(ultiplied)e(b)m(y)0 2655 y(the)36 b(probabilit)m(y)d(that)
37908 i(the)h(ev)m(en)m(t)h(con)m(tains)f(no)f(in)m(teractions)g(at)g(a)g
37909 (scale)g Fj(x)2870 2619 y Fk(0)2870 2680 y(?)2962 2655
37910 y Fj(>)e(x)3126 2670 y Fk(?)p Fl(1)3220 2655 y Fw(,)j(to)f(yield)g(the)
37911 0 2764 y(total)c(probabilit)m(y)g(distribution)719 2960
37912 y(d)p Fn(P)842 2975 y Fl(hardest)p 719 3004 356 4 v 719
37913 3096 a Fw(d)773 3067 y Fl(2)813 3096 y Fj(b)17 b Fw(d)p
37914 Fj(x)980 3111 y Fk(?)p Fl(1)1168 3027 y Fw(=)83 b Fj(f)11
37915 b Fw(\()p Fj(x)1479 3042 y Fk(?)p Fl(1)1573 3027 y Fj(;)17
37916 b(b)p Fw(\))34 b(exp)1895 2906 y Fg(\032)1958 3027 y
37917 Fn(\000)2052 2910 y Fg(Z)2135 2937 y Fl(1)2098 3099 y
37918 Fh(x)2138 3111 y Fd(?)p Ff(1)2241 3027 y Fj(f)11 b Fw(\()p
37919 Fj(x)2393 2986 y Fk(0)2393 3052 y(?)2452 3027 y Fj(;)17
37920 b(b)p Fw(\))g(d)p Fj(x)2701 2986 y Fk(0)2701 3052 y(?)2760
37921 2906 y Fg(\033)1168 3278 y Fw(=)83 b Fj(e)p Fw(\()p Fj(b)p
37922 Fw(\))17 b Fj(f)11 b Fw(\()p Fj(x)1658 3293 y Fk(?)p
37923 Fl(1)1752 3278 y Fw(\))34 b(exp)1989 3156 y Fg(\032)2052
37924 3278 y Fn(\000)p Fj(e)p Fw(\()p Fj(b)p Fw(\))2308 3160
37925 y Fg(Z)2391 3187 y Fl(1)2354 3349 y Fh(x)2394 3361 y
37926 Fd(?)p Ff(1)2497 3278 y Fj(f)11 b Fw(\()p Fj(x)2649 3236
37927 y Fk(0)2649 3302 y(?)2708 3278 y Fw(\))17 b(d)p Fj(x)2872
37928 3236 y Fk(0)2872 3302 y(?)2932 3156 y Fg(\033)3043 3278
37929 y Fj(:)487 b Fw(\(173\))0 3538 y(If)28 b(the)g(treatmen)m(t)g(of)f(the)
37930 h(exp)s(onen)m(tial)f(is)g(deferred)i(for)e(a)h(momen)m(t,)g(the)g
37931 (distribution)e(in)h Fj(b)h Fw(and)g Fj(x)3685 3553 y
37932 Fk(?)p Fl(1)0 3646 y Fw(app)s(ears)39 b(in)e(factorized)h(form,)h(so)f
37933 (that)g(the)h(t)m(w)m(o)g(can)g(b)s(e)f(c)m(hosen)i(indep)s(enden)m
37934 (tly)f(of)f(eac)m(h)h(other.)0 3755 y(In)45 b(particular,)h(a)e(high-)p
37935 Fj(p)986 3770 y Fk(?)1089 3755 y Fw(QCD)g(scattering)g(or)h(an)m(y)g
37936 (other)g(hard)f(scattering)h(can)g(b)s(e)f(selected)0
37937 3863 y(with)32 b(whatev)m(er)i(kinematics)d(desired)i(for)f(that)g(pro)
37938 s(cess,)i(and)f(thereafter)g(assigned)f(some)g(suitable)0
37939 3971 y(`hardness')26 b Fj(x)503 3986 y Fk(?)p Fl(1)598
37940 3971 y Fw(.)40 b(With)24 b(the)g Fj(b)g Fw(c)m(hosen)i(according)d(to)h
37941 Fj(e)p Fw(\()p Fj(b)p Fw(\))17 b(d)2211 3935 y Fl(2)2251
37942 3971 y Fj(b)p Fw(,)26 b(the)f(neglected)f(exp)s(onen)m(tial)g(can)g(no)
37943 m(w)0 4080 y(b)s(e)33 b(ev)-5 b(aluated,)32 b(and)g(the)h(ev)m(en)m(t)h
37944 (retained)e(with)g(a)h(probabilit)m(y)d(prop)s(ortional)g(to)i(it.)42
37945 b(F)-8 b(rom)31 b(the)i Fj(x)3685 4095 y Fk(?)p Fl(1)0
37946 4188 y Fw(scale)j(of)f(the)h(selected)g(in)m(teraction,)g(a)f(sequence)
37947 j(of)d(softer)h Fj(x)2342 4203 y Fk(?)p Fh(i)2461 4188
37948 y Fw(v)-5 b(alues)35 b(ma)m(y)h(again)e(b)s(e)i(generated)0
37949 4296 y(as)e(in)f(the)i(simple)d(mo)s(del,)h(using)h(the)g(kno)m(wn)i
37950 Fj(f)11 b Fw(\()p Fj(x)1919 4311 y Fk(?)1978 4296 y Fj(;)17
37951 b(b)p Fw(\).)48 b(This)34 b(sequence)j(ma)m(y)d(b)s(e)g(empt)m(y)-8
37952 b(,)35 b(i.e.)47 b(the)0 4405 y(ev)m(en)m(t)34 b(need)g(not)e(con)m
37953 (tain)h(an)m(y)g(further)g(in)m(teractions.)146 4513
37954 y(It)24 b(is)e(in)m(teresting)h(to)g(understand)h(ho)m(w)g(the)g
37955 (algorithm)19 b(ab)s(o)m(v)m(e)24 b(w)m(orks.)42 b(By)24
37956 b(selecting)f Fj(b)g Fw(according)0 4621 y(to)39 b Fj(e)p
37957 Fw(\()p Fj(b)p Fw(\))17 b(d)359 4585 y Fl(2)399 4621
37958 y Fj(b)p Fw(,)42 b(i.e.)64 b Fn(O)s Fw(\()p Fj(b)p Fw(\))17
37959 b(d)968 4585 y Fl(2)1008 4621 y Fj(b)p Fw(,)42 b(the)e(primary)e
37960 Fj(b)i Fw(distribution)e(is)h(maximally)d(biased)k(to)m(w)m(ards)h
37961 (small)0 4730 y(impact)36 b(parameters.)60 b(If)38 b(the)g(\014rst)g
37962 (in)m(teraction)f(is)g(hard,)j(b)m(y)f(c)m(hoice)f(or)f(b)m(y)i(c)m
37963 (hance,)i(the)d(in)m(tegral)0 4838 y(of)33 b(the)g(cross)i(section)e
37964 (ab)s(o)m(v)m(e)h Fj(x)1179 4853 y Fk(?)p Fl(1)1307 4838
37965 y Fw(is)f(small,)e(and)i(the)h(exp)s(onen)m(tial)f(close)g(to)g(unit)m
37966 (y)-8 b(.)46 b(The)34 b(rejection)0 4946 y(pro)s(cedure)c(is)f
37967 (therefore)h(v)m(ery)h(e\016cien)m(t)g(for)d(all)g(standard)i(hard)f
37968 (pro)s(cesses)j(in)c(the)i(program)e(|)h(one)0 5055 y(ma)m(y)g(ev)m(en)
37969 h(safely)f(drop)f(the)i(w)m(eigh)m(ting)e(with)g(the)h(exp)s(onen)m
37970 (tial)f(completely)-8 b(.)41 b(The)30 b(large)e Fj(e)p
37971 Fw(\()p Fj(b)p Fw(\))h(v)-5 b(alue)0 5163 y(is)27 b(also)f(lik)m(ely)g
37972 (to)h(lead)g(to)g(the)h(generation)e(of)h(man)m(y)h(further,)g(softer)g
37973 (in)m(teractions.)41 b(If,)28 b(on)g(the)f(other)0 5271
37974 y(hand,)f(the)d(\014rst)h(in)m(teraction)e(is)h(not)g(hard,)i(the)f
37975 (exp)s(onen)m(tial)f(is)f(no)h(longer)g(close)g(to)g(unit)m(y)-8
37976 b(,)25 b(and)e(man)m(y)0 5380 y(ev)m(en)m(ts)38 b(are)e(rejected.)55
37977 b(This)36 b(pulls)f(do)m(wn)h(the)h(e\016ciency)g(for)e(`minim)m(um)e
37978 (bias')i(ev)m(en)m(t)j(generation.)0 5488 y(Since)d(the)g(exp)s(onen)m
37979 (t)h(is)e(prop)s(ortional)e(to)i Fj(e)p Fw(\()p Fj(b)p
37980 Fw(\),)h(a)g(large)e Fj(e)p Fw(\()p Fj(b)p Fw(\))i(leads)g(to)f(an)g
37981 (enhanced)i(probabilit)m(y)0 5596 y(for)30 b(rejection,)h(whereas)i
37982 (the)e(c)m(hance)i(of)d(acceptance)j(is)d(larger)g(with)g(a)h(small)e
37983 Fj(e)p Fw(\()p Fj(b)p Fw(\).)43 b(Among)30 b(ev)m(en)m(ts)1817
37984 5953 y(222)p eop
37985 %%Page: 223 229
37986 223 228 bop 0 -18 a Fw(where)33 b(the)g(hardest)f(in)m(teraction)f(is)h
37987 (soft,)g(the)g Fj(b)h Fw(distribution)d(is)h(therefore)i(biased)f(to)m
37988 (w)m(ards)h(larger)0 90 y(v)-5 b(alues)32 b(\(smaller)f
37989 Fj(e)p Fw(\()p Fj(b)p Fw(\)\),)i(and)g(there)g(is)f(a)g(small)f
37990 (probabilit)m(y)f(for)i(y)m(et)i(softer)f(in)m(teractions.)146
37991 198 y(T)-8 b(o)32 b(ev)-5 b(aluate)31 b(the)i(exp)s(onen)m(tial)e
37992 (factor,)h(the)g(program)e(pretabulates)i(the)g(in)m(tegral)f(of)g
37993 Fj(f)11 b Fw(\()p Fj(x)3564 213 y Fk(?)3623 198 y Fw(\))32
37994 b(at)0 307 y(the)d(initialization)23 b(stage,)30 b(and)f(further)g
37995 (increases)h(the)f(Mon)m(te)h(Carlo)e(statistics)g(of)g(this)h
37996 (tabulation)0 415 y(as)38 b(the)h(run)f(pro)s(ceeds.)61
37997 b(The)39 b Fj(x)1197 430 y Fk(?)1294 415 y Fw(grid)e(is)g(concen)m
37998 (trated)j(to)m(w)m(ards)f(small)d Fj(x)2871 430 y Fk(?)2930
37999 415 y Fw(,)j(where)h(the)e(in)m(tegral)0 523 y(is)d(large.)49
38000 b(F)-8 b(or)35 b(a)f(selected)i Fj(x)1066 538 y Fk(?)p
38001 Fl(1)1196 523 y Fw(v)-5 b(alue,)35 b(the)h Fj(f)11 b
38002 Fw(\()p Fj(x)1801 538 y Fk(?)1860 523 y Fw(\))35 b(in)m(tegral)e(is)i
38003 (obtained)f(b)m(y)i(in)m(terp)s(olation.)48 b(After)0
38004 632 y(m)m(ultiplication)28 b(b)m(y)33 b(the)g(kno)m(wn)h
38005 Fj(e)p Fw(\()p Fj(b)p Fw(\))f(factor,)g(the)g(exp)s(onen)m(tial)f
38006 (factor)g(ma)m(y)g(b)s(e)h(found.)146 740 y(In)27 b(this)g(section,)h
38007 (nothing)e(has)h(y)m(et)g(b)s(een)h(assumed)f(ab)s(out)f(the)h(form)f
38008 (of)g(the)h(d)p Fj(\033)t(=)p Fw(d)p Fj(p)3273 755 y
38009 Fk(?)3359 740 y Fw(sp)s(ectrum.)0 848 y(Lik)m(e)40 b(in)g(the)g(impact)
38010 f(parameter)h(indep)s(enden)m(t)h(case,)j(it)39 b(is)h(p)s(ossible)f
38011 (to)h(use)h(a)f(sharp)h(cut-o\013)f(at)0 957 y(some)35
38012 b(giv)m(en)h Fj(p)554 972 y Fk(?)p Fl(min)766 957 y Fw(v)-5
38013 b(alue.)52 b(Ho)m(w)m(ev)m(er,)39 b(no)m(w)d(eac)m(h)g(ev)m(en)m(t)i
38014 (is)d(required)h(to)f(ha)m(v)m(e)i(at)e(least)g(one)h(in)m(ter-)0
38015 1065 y(action,)31 b(whereas)i(b)s(efore)f(ev)m(en)m(ts)i(without)d(in)m
38016 (teractions)g(w)m(ere)i(retained)e(and)h(put)g(at)f Fj(p)3300
38017 1080 y Fk(?)3387 1065 y Fw(=)c(0.)43 b(It)32 b(is)0 1173
38018 y(therefore)f(aesthetically)f(more)g(app)s(ealing)f(to)h(assume)h(a)g
38019 (gradual)e(turn-o\013,)i(so)f(that)h(a)f(\(semi\)hard)0
38020 1282 y(in)m(teraction)h(can)h(b)s(e)g(rather)h(soft)f(part)f(of)h(the)g
38021 (time.)42 b(The)33 b(matrix)e(elemen)m(ts)h(roughly)g(div)m(erge)g(lik)
38022 m(e)0 1390 y Fj(\013)62 1405 y Fl(s)94 1390 y Fw(\()p
38023 Fj(p)181 1354 y Fl(2)181 1415 y Fk(?)240 1390 y Fw(\))17
38024 b(d)p Fj(p)398 1354 y Fl(2)398 1415 y Fk(?)457 1390 y
38025 Fj(=p)555 1354 y Fl(4)555 1415 y Fk(?)654 1390 y Fw(for)40
38026 b Fj(p)860 1405 y Fk(?)960 1390 y Fn(!)h Fw(0.)68 b(They)42
38027 b(could)e(therefore)h(b)s(e)g(regularized)f(as)g(follo)m(ws.)67
38028 b(Firstly)-8 b(,)41 b(to)0 1498 y(remo)m(v)m(e)28 b(the)g(1)p
38029 Fj(=p)638 1462 y Fl(4)638 1523 y Fk(?)725 1498 y Fw(b)s(eha)m(viour,)g
38030 (m)m(ultiply)d(b)m(y)k(a)e(factor)h Fj(p)2116 1462 y
38031 Fl(4)2116 1523 y Fk(?)2175 1498 y Fj(=)p Fw(\()p Fj(p)2311
38032 1462 y Fl(2)2311 1523 y Fk(?)2381 1498 y Fw(+)12 b Fj(p)2518
38033 1462 y Fl(2)2518 1523 y Fk(?)p Fl(0)2612 1498 y Fw(\))2650
38034 1462 y Fl(2)2690 1498 y Fw(.)42 b(Secondly)-8 b(,)29
38035 b(replace)e(the)i Fj(p)3721 1462 y Fl(2)3721 1523 y Fk(?)0
38036 1607 y Fw(argumen)m(t)34 b(in)g Fj(\013)616 1622 y Fl(s)683
38037 1607 y Fw(b)m(y)h Fj(p)869 1571 y Fl(2)869 1631 y Fk(?)952
38038 1607 y Fw(+)23 b Fj(p)1100 1571 y Fl(2)1100 1631 y Fk(?)p
38039 Fl(0)1229 1607 y Fw(or,)35 b(with)f(the)h(inclusion)e(of)h(the)h
38040 Fj(K)42 b Fw(factor)34 b(pro)s(cedure)h(in)m(tro)s(duced)0
38041 1715 y(earlier,)c(replace)i(0)p Fj(:)p Fw(075)17 b Fj(p)945
38042 1679 y Fl(2)945 1740 y Fk(?)1035 1715 y Fw(b)m(y)34 b(0)p
38043 Fj(:)p Fw(075)17 b(\()p Fj(p)1498 1679 y Fl(2)1498 1740
38044 y Fk(?)1577 1715 y Fw(+)22 b Fj(p)1724 1679 y Fl(2)1724
38045 1740 y Fk(?)p Fl(0)1819 1715 y Fw(\).)146 1823 y(With)g(these)h
38046 (substitutions,)h(a)e(con)m(tin)m(uous)h Fj(p)1825 1838
38047 y Fk(?)1906 1823 y Fw(sp)s(ectrum)g(is)e(obtained,)j(stretc)m(hing)f
38048 (from)e Fj(p)3541 1838 y Fk(?)3627 1823 y Fw(=)28 b(0)0
38049 1932 y(to)47 b Fj(E)206 1947 y Fl(cm)300 1932 y Fj(=)p
38050 Fw(2.)86 b(F)-8 b(or)46 b Fj(p)749 1947 y Fk(?)860 1932
38051 y Fn(\035)51 b Fj(p)1060 1947 y Fk(?)p Fl(0)1202 1932
38052 y Fw(the)c(standard)g(p)s(erturbativ)m(e)g(QCD)g(cross)h(section)f(is)f
38053 (reco)m(v)m(ered,)0 2040 y(while)35 b(v)-5 b(alues)36
38054 b Fj(p)601 2055 y Fk(?)693 2040 y Fn(\034)c Fj(p)874
38055 2055 y Fk(?)p Fl(0)1004 2040 y Fw(are)k(strongly)g(damp)s(ed.)52
38056 b(The)37 b Fj(p)2222 2055 y Fk(?)p Fl(0)2352 2040 y Fw(scale,)g(whic)m
38057 (h)f(no)m(w)h(is)e(the)h(main)e(free)0 2148 y(parameter)i(of)g(the)h
38058 (mo)s(del,)f(in)f(practice)i(comes)f(out)h(to)f(b)s(e)g(of)g(the)h
38059 (same)g(order)f(of)g(magnitude)f(as)0 2257 y(the)e(sharp)g(cut-o\013)f
38060 Fj(p)789 2272 y Fk(?)p Fl(min)998 2257 y Fw(did,)h(i.e.)43
38061 b(1.5{2)31 b(GeV.)146 2365 y(If)22 b(gluons)g(with)g(large)f(transv)m
38062 (erse)j(w)m(a)m(v)m(elength)g(decouple)f(b)s(ecause)g(of)f(the)g
38063 (colour-singlet)e(nature)0 2473 y(of)i(hadrons,)i(and)e(if)f(the)i
38064 (transv)m(erse)h(structure)f(of)f(hadrons)g(is)g(assumed)h(to)e(b)s(e)i
38065 (energy-indep)s(enden)m(t,)0 2582 y(it)30 b(is)h(natural)g(to)g(assume)
38066 g(that)h(also)e Fj(p)1441 2597 y Fk(?)p Fl(min)1649 2582
38067 y Fw(and)i Fj(p)1887 2597 y Fk(?)p Fl(0)2012 2582 y Fw(are)g(indep)s
38068 (enden)m(t)g(of)f(the)h(c.m.)43 b(energy)32 b(of)f(the)0
38069 2690 y(hadron)g(collision.)39 b(F)-8 b(or)30 b(the)h(impact)e
38070 (parameter)h(indep)s(enden)m(t)i(picture)f(this)f(w)m(orks)i(out)e
38071 (\014ne,)i(with)0 2798 y(all)23 b(ev)m(en)m(ts)k(b)s(eing)d(reduced)j
38072 (to)d(lo)m(w-)p Fj(p)1364 2813 y Fk(?)1447 2798 y Fw(t)m(w)m(o-string)g
38073 (ones)i(when)g(the)f(c.m.)41 b(energy)26 b(is)e(reduced.)43
38074 b(In)25 b(the)0 2907 y(v)-5 b(ariable)32 b(impact)h(parameter)h
38075 (picture,)g(the)h(whole)f(formalism)d(only)i(mak)m(es)i(sense)h(if)d
38076 Fj(\033)3332 2922 y Fl(hard)3508 2907 y Fj(>)d(\033)3669
38077 2922 y Fl(nd)3752 2907 y Fw(,)0 3015 y(see)36 b(e.g.)50
38078 b(eq.)35 b(\(170\).)49 b(Since)35 b Fj(\033)1123 3030
38079 y Fl(nd)1241 3015 y Fw(do)s(es)g(not)f(v)-5 b(anish)35
38080 b(with)f(decreasing)h(energy)-8 b(,)37 b(but)e Fj(\033)3210
38081 3030 y Fl(hard)3390 3015 y Fw(w)m(ould)g(do)0 3123 y(that)d(for)g(a)g
38082 (\014xed)h Fj(p)725 3138 y Fk(?)p Fl(0)819 3123 y Fw(,)g(this)f(means)g
38083 (that)g Fj(p)1627 3138 y Fk(?)p Fl(0)1754 3123 y Fw(has)g(to)g(b)s(e)h
38084 (reduced)g(when)h(the)e(energy)i(is)e(decreased)0 3232
38085 y(b)s(elo)m(w)45 b(some)f(giv)m(en)h(threshold.)80 b(The)46
38086 b(more)e(`sophisticated')h(mo)s(del)e(of)i(this)f(section)h(therefore)0
38087 3340 y(mak)m(es)d(sense)h(at)e(collider)e(energies,)44
38088 b(whereas)e(it)e(is)h(not)g(w)m(ell)f(suited)i(for)e(applications)g(at)
38089 g(lo)m(w)m(er)0 3448 y(energies.)0 3722 y Fp(11.3)136
38090 b(Pile-up)45 b(Ev)l(en)l(ts)0 3895 y Fw(In)40 b(high)f(luminosit)m(y)e
38091 (colliders,)j(there)h(is)e(a)g(non-negligible)d(probabilit)m(y)i(that)i
38092 (one)g(single)e(bunc)m(h)0 4003 y(crossing)32 b(ma)m(y)f(pro)s(duce)h
38093 (sev)m(eral)g(separate)h(ev)m(en)m(ts,)h(so-called)c(pile-up)g(ev)m(en)
38094 m(ts.)46 b(This)31 b(in)g(particular)0 4112 y(applies)39
38095 b(to)g(future)h(pp)g(colliders)e(lik)m(e)h(LHC,)h(but)g(one)g(could)f
38096 (also)g(consider)h(e.g.)65 b(e)3231 4076 y Fl(+)3290
38097 4112 y Fw(e)3333 4076 y Fk(\000)3432 4112 y Fw(colliders)0
38098 4220 y(with)28 b(high)f(rates)i(of)f Fj(\015)5 b(\015)33
38099 b Fw(collisions.)39 b(The)30 b(program)d(therefore)h(con)m(tains)h(an)f
38100 (option,)g(curren)m(tly)h(only)0 4328 y(applicable)g(to)h
38101 (hadron{hadron)g(collisions,)f(wherein)i(sev)m(eral)g(ev)m(en)m(ts)i
38102 (ma)m(y)d(b)s(e)h(generated)h(and)e(put)0 4437 y(one)g(after)f(the)h
38103 (other)g(in)f(the)h(ev)m(en)m(t)h(record,)g(to)e(sim)m(ulate)f(the)i
38104 (full)e(amoun)m(t)h(of)g(particle)f(pro)s(duction)0 4545
38105 y(a)k(detector)i(migh)m(t)d(b)s(e)i(facing.)146 4653
38106 y(The)40 b(program)e(needs)j(to)e(kno)m(w)h(the)g(assumed)g(luminosit)m
38107 (y)d(p)s(er)i(bunc)m(h{bunc)m(h)j(crossing,)f(ex-)0 4762
38108 y(pressed)c(in)c(m)m(b)593 4726 y Fk(\000)p Fl(1)687
38109 4762 y Fw(.)50 b(Multiplied)32 b(b)m(y)k(the)f(cross)g(section)g(for)f
38110 (pile-up)f(pro)s(cesses)k(studied,)e Fj(\033)3445 4777
38111 y Fl(pile)3560 4762 y Fw(,)g(this)0 4870 y(giv)m(es)43
38112 b(the)g(a)m(v)m(erage)g(n)m(um)m(b)s(er)g(of)f(collisions)e(p)s(er)j(b)
38113 s(eam)f(crossing,)p 2558 4817 59 4 v 45 w Fj(n)p Fw(.)73
38114 b(These)45 b(pile-up)c(ev)m(en)m(ts)j(are)0 4979 y(tak)m(en)32
38115 b(to)g(b)s(e)f(of)g(the)h(minim)m(um)d(bias)i(t)m(yp)s(e,)h(with)f
38116 (di\013ractiv)m(e)g(and)h(elastic)e(ev)m(en)m(ts)k(included)d(or)h(not)
38117 0 5087 y(\(and)i(a)f(further)h(sub)s(division)f(of)g(di\013ractiv)m(e)g
38118 (ev)m(en)m(ts)k(in)m(to)c(single)f(and)i(double\).)47
38119 b(This)34 b(means)g(that)0 5195 y Fj(\033)55 5210 y Fl(pile)199
38120 5195 y Fw(ma)m(y)c(b)s(e)g(either)f Fj(\033)866 5210
38121 y Fl(tot)961 5195 y Fw(,)h Fj(\033)1073 5210 y Fl(tot)1184
38122 5195 y Fn(\000)16 b Fj(\033)1332 5210 y Fl(el)1419 5195
38123 y Fw(or)29 b Fj(\033)1590 5210 y Fl(tot)1701 5195 y Fn(\000)16
38124 b Fj(\033)1849 5210 y Fl(el)1922 5195 y Fn(\000)g Fj(\033)2070
38125 5210 y Fl(di\013r)2203 5195 y Fw(.)42 b(Whic)m(h)30 b(option)f(to)h(c)m
38126 (ho)s(ose)g(dep)s(ends)i(on)0 5304 y(the)27 b(detector:)41
38127 b(most)26 b(detectors)i(w)m(ould)e(not)g(b)s(e)h(able)f(to)g(observ)m
38128 (e)i(elastic)d(pp)i(scattering,)h(and)e(there-)0 5412
38129 y(fore)k(it)f(w)m(ould)h(b)s(e)g(sup)s(er\015uous)h(to)f(generate)g
38130 (that)g(kind)g(of)f(ev)m(en)m(ts.)45 b(In)31 b(addition,)d(w)m(e)j
38131 (allo)m(w)e(for)g(the)0 5520 y(p)s(ossibilit)m(y)j(that)i(one)g(in)m
38132 (teraction)f(ma)m(y)h(b)s(e)g(of)f(a)h(rare)g(kind,)g(selected)h
38133 (freely)f(b)m(y)h(the)g(user.)48 b(There)0 5629 y(is)38
38134 b(no)g(option)g(to)g(generate)h(t)m(w)m(o)g(`rare')g(ev)m(en)m(ts)i(in)
38135 d(the)h(same)f(crossing;)k(normally)36 b(the)j(lik)m(eliho)s(o)s(d)1817
38136 5953 y(223)p eop
38137 %%Page: 224 230
38138 224 229 bop 0 -18 a Fw(for)32 b(that)g(kind)h(of)f(o)s(ccurences)j
38139 (should)d(b)s(e)h(small.)146 90 y(If)48 b(only)g(minim)m(um)d(bias)j(t)
38140 m(yp)s(e)h(ev)m(en)m(ts)h(are)e(generated,)53 b(i.e.)90
38141 b(if)47 b(only)h(one)g(cross)i(section)e(is)0 198 y(in)m(v)m(olv)m(ed)
38142 32 b(in)f(the)h(problem,)f(then)i(the)f(n)m(um)m(b)s(er)g(of)f(ev)m(en)
38143 m(ts)j(in)d(a)h(crossing)f(is)h(distributed)f(according)0
38144 307 y(to)38 b(a)g(P)m(oissonian)g(with)g(the)h(a)m(v)m(erage)g(n)m(um)m
38145 (b)s(er)p 1818 254 59 4 v 39 w Fj(n)g Fw(as)f(calculated)g(ab)s(o)m(v)m
38146 (e.)61 b(The)40 b(program)d(actually)0 415 y(will)29
38147 b(sim)m(ulate)h(only)h(those)h(b)s(eam)e(crossings)i(where)h(at)e
38148 (least)g(one)h(ev)m(en)m(t)h(o)s(ccurs,)f(i.e.)43 b(not)31
38149 b(consider)0 523 y(the)41 b(fraction)e(exp)q(\()p Fn(\000)p
38150 808 470 V Fj(n)q Fw(\))h(of)g(zero-ev)m(en)m(t)j(crossings.)67
38151 b(Therefore)42 b(the)f(actually)e(generated)i(a)m(v)m(erage)0
38152 632 y(n)m(um)m(b)s(er)33 b(of)f(pile-up)f(ev)m(en)m(ts)k(is)d
38153 Fn(h)p Fj(n)p Fn(i)c Fw(=)p 1452 579 V 27 w Fj(n=)p Fw(\(1)22
38154 b Fn(\000)h Fw(exp)q(\()p Fn(\000)p 2032 579 V Fj(n)p
38155 Fw(\)\).)146 740 y(No)m(w)34 b(instead)f(consider)g(the)g(other)g
38156 (extreme,)h(where)g(one)f(ev)m(en)m(t)i(is)e(supp)s(osed)h(b)s(e)f
38157 (rare,)g(with)g(a)0 848 y(cross)i(section)g Fj(\033)624
38158 863 y Fl(rare)784 848 y Fw(m)m(uc)m(h)g(smaller)d(than)i
38159 Fj(\033)1668 863 y Fl(pile)1783 848 y Fw(,)g(i.e.)48
38160 b Fj(f)41 b Fn(\021)31 b Fj(\033)2269 863 y Fl(rare)2395
38161 848 y Fj(=\033)2499 863 y Fl(pile)2644 848 y Fn(\034)f
38162 Fw(1.)48 b(The)35 b(probabilit)m(y)e(that)0 957 y(a)f(bunc)m(h)i
38163 (crossing)f(will)d(giv)m(e)j Fj(i)f Fw(ev)m(en)m(ts,)j(whereof)f(one)f
38164 (of)f(the)h(rare)f(kind,)h(no)m(w)g(is)940 1223 y Fn(P)1009
38165 1238 y Fh(i)1065 1223 y Fw(=)28 b Fj(f)f(i)34 b Fw(exp)q(\()p
38166 Fn(\000)p 1575 1170 V Fj(n)p Fw(\))p 1698 1102 V 1698
38167 1155 a Fj(n)1756 1119 y Fh(i)p 1698 1199 87 4 v 1711
38168 1291 a Fj(i)p Fw(!)1822 1223 y(=)28 b Fj(f)p 2001 1170
38169 59 4 v 27 w(n)17 b Fw(exp)q(\()p Fn(\000)p 2340 1170
38170 V Fj(n)p Fw(\))p 2528 1102 V 2528 1155 a Fj(n)2586 1119
38171 y Fh(i)p Fk(\000)p Fl(1)p 2463 1199 307 4 v 2463 1291
38172 a Fw(\()p Fj(i)22 b Fn(\000)h Fw(1\)!)2812 1223 y Fj(:)718
38173 b Fw(\(174\))0 1484 y(The)39 b(na)-11 b(\177)-38 b(\020v)m(e)38
38174 b(P)m(oissonian)g(is)f(suppressed)k(b)m(y)e(a)f(factor)f
38175 Fj(f)11 b Fw(,)40 b(since)e(one)g(of)g(the)g(ev)m(en)m(ts)j(is)c(rare)h
38176 (rather)0 1592 y(than)f(of)f(the)h(normal)e(kind,)j(but)f(enhanced)h(b)
38177 m(y)g(a)f(factor)f Fj(i)p Fw(,)i(since)f(an)m(y)h(one)f(of)f(the)i
38178 Fj(i)f Fw(ev)m(en)m(ts)i(ma)m(y)0 1701 y(b)s(e)c(the)h(rare)f(one.)51
38179 b(As)36 b(the)f(equalit)m(y)g(sho)m(ws,)i(the)f(probabilit)m(y)d
38180 (distribution)g(is)i(no)m(w)g(a)g(P)m(oissonian)0 1809
38181 y(in)c Fj(i)20 b Fn(\000)g Fw(1:)43 b(in)31 b(a)g(b)s(eam)g(crossing)g
38182 (whic)m(h)h(pro)s(duces)h(one)f(rare)f(ev)m(en)m(t,)j(the)e(m)m
38183 (ultiplicit)m(y)27 b(of)k(additional)0 1917 y(pile-up)f(ev)m(en)m(ts)j
38184 (is)e(distributed)g(according)f(to)h(a)g(P)m(oissonian)g(with)g(a)m(v)m
38185 (erage)h(n)m(um)m(b)s(er)p 3252 1865 59 4 v 32 w Fj(n)p
38186 Fw(.)43 b(The)32 b(total)0 2026 y(a)m(v)m(erage)i(n)m(um)m(b)s(er)f(of)
38187 f(ev)m(en)m(ts)j(th)m(us)e(is)f Fn(h)p Fj(n)p Fn(i)c
38188 Fw(=)p 1691 1973 V 27 w Fj(n)23 b Fw(+)f(1.)146 2134
38189 y(Clearly)-8 b(,)32 b(for)g(pro)s(cesses)i(with)e(in)m(termediate)f
38190 (cross)i(sections,)p 2492 2081 V 33 w Fj(n)17 b(\033)2622
38191 2149 y Fl(rare)2749 2134 y Fj(=\033)2853 2149 y Fl(pile)2994
38192 2134 y Fn(')29 b Fw(1,)j(also)f(the)i(a)m(v)m(er-)0 2242
38193 y(age)d(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(will)27
38194 b(b)s(e)j(in)m(termediate,)f(and)h(it)e(is)i(not)f(allo)m(w)m(ed)g(to)g
38195 (assume)i(only)e(one)h(ev)m(en)m(t)0 2351 y(to)i(b)s(e)h(of)f(the)h
38196 (`rare')g(t)m(yp)s(e.)44 b(W)-8 b(e)33 b(do)g(not)f(consider)h(that)f
38197 (kind)h(of)f(situations.)146 2459 y(Kindly)37 b(note)h(that,)h(in)e
38198 (the)h(curren)m(t)h(implemen)m(tation,)d(all)g(ev)m(en)m(ts)k(are)e
38199 (supp)s(osed)i(to)d(b)s(e)h(pro-)0 2567 y(duced)44 b(at)e(the)i(same)e
38200 (v)m(ertex)j(\(the)e(origin\).)72 b(T)-8 b(o)43 b(sim)m(ulate)e(the)i
38201 (spatial)e(exten)m(t)j(of)f(the)g(colliding)0 2676 y(b)s(eams,)f(y)m
38202 (ou)f(w)m(ould)f(ha)m(v)m(e)h(to)f(assign)g(in)m(teraction)f(p)s(oin)m
38203 (ts)h(y)m(ourself,)i(and)e(then)h(shift)f(eac)m(h)h(ev)m(en)m(t)0
38204 2784 y(separately)33 b(b)m(y)g(the)g(required)g(amoun)m(t)f(in)g(space)
38205 i(and)f(time.)146 2893 y(When)27 b(the)e(pile-up)f(option)g(is)h(used,)
38206 j(one)e(main)d(limitation)e(is)k(that)g(ev)m(en)m(t)i(records)f(ma)m(y)
38207 f(b)s(ecome)0 3001 y(v)m(ery)35 b(large)d(when)j(sev)m(eral)f(ev)m(en)m
38208 (ts)h(are)f(put)f(one)h(after)f(the)h(other,)g(so)f(that)g(the)h(space)
38209 h(limit)29 b(in)k(the)0 3109 y Fq(LUJETS)i Fw(common)c(blo)s(c)m(k)i
38210 (is)f(reac)m(hed.)46 b(It)33 b(is)g(p)s(ossible)f(to)h(expand)h(the)f
38211 (dimension)f(of)g(the)i(common)0 3218 y(blo)s(c)m(k,)39
38212 b(see)g Fq(MSTU\(4\))g Fw(and)f Fq(MSTU\(5\))p Fw(,)j(but)c(only)h(up)g
38213 (to)f(ab)s(out)g(20)16 b(000)37 b(en)m(tries,)i(whic)m(h)f(migh)m(t)f
38214 (not)0 3326 y(alw)m(a)m(ys)c(b)s(e)g(enough.)146 3434
38215 y(F)-8 b(or)41 b(practical)e(reasons,)45 b(the)c(program)f(will)f(only)
38216 h(allo)m(w)g(a)p 2461 3381 V 41 w Fj(n)h Fw(up)h(to)e(120.)69
38217 b(The)42 b(m)m(ultiplicit)m(y)0 3543 y(distribution)33
38218 b(is)h(truncated)h(ab)s(o)m(v)m(e)g(200,)f(or)g(when)i(the)f
38219 (probabilit)m(y)d(for)i(a)g(m)m(ultiplicit)m(y)d(has)k(fallen)0
38220 3651 y(b)s(elo)m(w)25 b(10)367 3615 y Fk(\000)p Fl(6)461
38221 3651 y Fw(,)h(whic)m(hev)m(er)i(o)s(ccurs)d(so)s(oner.)42
38222 b(Also)24 b(lo)m(w)h(m)m(ultiplicities)c(with)j(probabilities)f(b)s
38223 (elo)m(w)i(10)3686 3615 y Fk(\000)p Fl(6)0 3759 y Fw(are)33
38224 b(truncated.)0 4032 y Fp(11.4)136 b(Common)45 b(Blo)t(c)l(k)g(V)-11
38225 b(ariables)0 4205 y Fw(Of)27 b(the)g(routines)g(used)h(to)f(generate)h
38226 (b)s(eam)e(remnan)m(ts,)i(m)m(ultiple)d(in)m(teractions)h(and)h
38227 (pile-up)f(ev)m(en)m(ts,)0 4313 y(none)j(are)g(in)m(tended)g(to)g(b)s
38228 (e)g(used)h(in)e(standalone)g(mo)s(de.)42 b(The)29 b(only)g(w)m(a)m(y)h
38229 (to)e(regulate)g(these)i(asp)s(ects)0 4421 y(is)i(therefore)h(via)f
38230 (the)h(v)-5 b(ariables)31 b(in)h(the)h Fq(PYPARS)h Fw(common)e(blo)s(c)
38231 m(k.)p 0 4546 2876 9 v 0 4771 9 225 v 79 4686 a Fq
38232 (COMMON/PYPARS/MSTP\(200\),)q(PARP)q(\(200)q(\),MS)q(TI\()q(200\))q
38233 (,PAR)q(I\(20)q(0\))p 2867 4771 V 0 4779 2876 9 v 0 4911
38234 a Fo(Purp)s(ose:)48 b Fw(to)31 b(giv)m(e)h(access)i(to)d(a)h(n)m(um)m
38235 (b)s(er)g(of)f(status)i(co)s(des)g(and)f(parameters)f(whic)m(h)i
38236 (regulate)e(the)472 5019 y(p)s(erformance)38 b(of)44
38237 b Fm(Pythia)p Fw(.)60 b(Most)38 b(parameters)g(are)g(describ)s(ed)g(in)
38238 g(section)g(9.3;)i(here)472 5128 y(only)31 b(those)h(related)f(to)g(b)s
38239 (eam)g(remnan)m(ts,)h(m)m(ultiple)d(in)m(teractions)i(and)g(pile-up)f
38240 (ev)m(en)m(ts)472 5236 y(are)k(describ)s(ed.)46 b(If)33
38241 b(the)g(default)g(v)-5 b(alues,)33 b(b)s(elo)m(w)g(denoted)h(b)m(y)g
38242 (\(D=.)16 b(.)g(.)g(\),)34 b(are)f(not)g(satis-)472 5344
38243 y(factory)-8 b(,)36 b(they)f(m)m(ust)g(in)f(general)g(b)s(e)h(c)m
38244 (hanged)g(b)s(efore)g(the)g Fq(PYINIT)h Fw(call.)48 b(Exceptions,)472
38245 5453 y(i.e.)43 b(v)-5 b(ariables)32 b(whic)m(h)h(can)g(b)s(e)f(c)m
38246 (hanged)i(for)e(eac)m(h)i(new)f(ev)m(en)m(t,)i(are)d(denoted)i(b)m(y)f
38247 (\(C\).)0 5561 y Fq(MSTP\(81\))53 b(:)48 b Fw(\(D=1\))31
38248 b(master)i(switc)m(h)g(for)f(m)m(ultiple)e(in)m(teractions.)236
38249 5669 y Fq(=)52 b(0)f(:)217 b Fw(o\013.)1817 5953 y(224)p
38250 eop
38251 %%Page: 225 231
38252 225 230 bop 236 -18 a Fq(=)52 b(1)f(:)217 b Fw(on.)0
38253 90 y Fq(MSTP\(82\))53 b(:)48 b Fw(\(D=1\))41 b(structure)j(of)e(m)m
38254 (ultiple)d(in)m(teractions.)73 b(F)-8 b(or)41 b(QCD)h(pro)s(cesses,)47
38255 b(used)d(do)m(wn)472 198 y(to)f Fj(p)651 213 y Fk(?)753
38256 198 y Fw(v)-5 b(alues)43 b(b)s(elo)m(w)g Fj(p)1390 213
38257 y Fk(?)p Fl(min)1567 198 y Fw(,)j(it)c(also)g(a\013ects)i(the)f(c)m
38258 (hoice)h(of)f(structure)h(for)f(the)g(one)472 307 y(hard/semi-hard)32
38259 b(in)m(teraction.)236 415 y Fq(=)52 b(0)f(:)217 b Fw(simple)31
38260 b(t)m(w)m(o-string)h(mo)s(del)f(without)h(an)m(y)h(hard)g(in)m
38261 (teractions.)236 523 y Fq(=)52 b(1)f(:)217 b Fw(m)m(ultiple)37
38262 b(in)m(teractions)h(assuming)h(the)h(same)f(probabilit)m(y)e(in)i(all)e
38263 (ev)m(en)m(ts,)44 b(with)709 632 y(an)32 b(abrupt)h Fj(p)1213
38264 647 y Fk(?)p Fl(min)1422 632 y Fw(cut-o\013)f(at)g Fq(PARP\(81\))p
38265 Fw(.)236 740 y Fq(=)52 b(2)f(:)217 b Fw(m)m(ultiple)28
38266 b(in)m(teractions)i(assuming)g(the)h(same)g(probabilit)m(y)d(in)i(all)f
38267 (ev)m(en)m(ts,)k(with)e(a)709 848 y(con)m(tin)m(uous)i(turn-o\013)f(of)
38268 g(the)h(cross)h(section)e(at)h Fj(p)2565 863 y Fk(?)p
38269 Fl(0)2686 848 y Fw(=)p Fq(PARP\(82\))p Fw(.)236 957 y
38270 Fq(=)52 b(3)f(:)217 b Fw(m)m(ultiple)65 b(in)m(teractions)h(assuming)h
38271 (a)g(v)-5 b(arying)66 b(impact)g(parameter)h(and)h(a)709
38272 1065 y(hadronic)30 b(matter)h(o)m(v)m(erlap)g(consisten)m(t)h(with)f(a)
38273 g(Gaussian)g(matter)f(distribution,)709 1173 y(with)i(a)g(con)m(tin)m
38274 (uous)h(turn-o\013)f(of)h(the)g(cross)g(section)g(at)f
38275 Fj(p)2868 1188 y Fk(?)p Fl(0)2990 1173 y Fw(=)p Fq(PARP\(82\))p
38276 Fw(.)236 1282 y Fq(=)52 b(4)f(:)217 b Fw(m)m(ultiple)65
38277 b(in)m(teractions)h(assuming)h(a)g(v)-5 b(arying)66 b(impact)g
38278 (parameter)h(and)h(a)709 1390 y(hadronic)37 b(matter)g(o)m(v)m(erlap)h
38279 (consisten)m(t)h(with)f(a)g(double)g(Gaussian)f(matter)g(dis-)709
38280 1498 y(tribution)f(giv)m(en)i(b)m(y)j Fq(PARP\(83\))f
38281 Fw(and)e Fq(PARP\(84\))p Fw(,)k(with)37 b(a)h(con)m(tin)m(uous)h
38282 (turn-o\013)709 1607 y(of)32 b(the)h(cross)g(section)g(at)f
38283 Fj(p)1721 1622 y Fk(?)p Fl(0)1843 1607 y Fw(=)p Fq(PARP\(82\))p
38284 Fw(.)236 1715 y Fo(Note)37 b(1:)110 b Fw(F)-8 b(or)49
38285 b Fq(MSTP\(82\))p Fn(\025)60 b Fw(2)50 b(and)g Fq(CKIN\(3\))p
38286 Fj(>)p Fq(PARP\(82\))p Fw(,)59 b(cross)51 b(sections)g(giv)m(en)f(with)
38287 709 1823 y Fq(PYSTAT\(1\))38 b Fw(ma)m(y)e(b)s(e)g(somewhat)g(to)s(o)g
38288 (large,)g(since)g(\(for)g(reasons)h(of)e(e\016ciency\))709
38289 1932 y(the)g(probabilit)m(y)e(factor)h(that)g(the)i(hard)e(in)m
38290 (teraction)g(is)g(indeed)h(the)h(hardest)f(in)709 2040
38291 y(the)30 b(ev)m(en)m(t)h(is)e(not)g(included)h(in)e(the)i(cross)h
38292 (sections.)43 b(It)30 b(is)f(included)g(in)g(the)h(ev)m(en)m(t)709
38293 2148 y(selection,)f(ho)m(w)m(ev)m(er,)j(so)e(the)f(ev)m(en)m(ts)j
38294 (generated)e(are)f(correctly)g(distributed.)42 b(F)-8
38295 b(or)709 2257 y Fq(CKIN\(3\))33 b Fw(v)-5 b(alues)31
38296 b(a)h(couple)f(of)g(times)g(larger)f(than)i Fq(PARP\(82\))i
38297 Fw(this)d(ceases)i(to)e(b)s(e)709 2365 y(a)h(problem.)236
38298 2473 y Fo(Note)37 b(2:)110 b Fw(The)41 b Fq(PARP\(81\))h
38299 Fw(and,)g(in)d(particular,)h Fq(PARP\(82\))j Fw(v)-5
38300 b(alues)40 b(are)g(sensitiv)m(e)g(to)g(the)709 2582 y(c)m(hoice)35
38301 b(of)f(parton)g(distributions,)g(\003)2098 2597 y Fl(QCD)2262
38302 2582 y Fw(,)h(etc.,)h(in)e(the)h(sense)i(that)d(a)h(c)m(hange)g(in)709
38303 2690 y(the)28 b(latter)g(v)-5 b(ariables)27 b(leads)h(to)g(a)g(net)g(c)
38304 m(hange)h(in)f(the)h(m)m(ultiple)c(in)m(teraction)i(rate,)709
38305 2798 y(whic)m(h)32 b(has)h(to)f(b)s(e)g(comp)s(ensated)h(b)m(y)g(a)f
38306 (retuning)g(of)39 b Fq(PARP\(81\))34 b Fw(or)e Fq(PARP\(82\))j
38307 Fw(if)709 2907 y(one)g(w)m(an)m(ts)h(to)e(k)m(eep)j(the)e(net)g(m)m
38308 (ultiple)e(in)m(teraction)g(structure)j(the)f(same.)51
38309 b(The)709 3015 y(default)35 b Fq(PARP\(81\))k Fw(v)-5
38310 b(alue)36 b(is)g(consisten)m(t)h(with)f(the)h(other)f(default)g(v)-5
38311 b(alues)36 b(giv)m(e,)709 3123 y(i.e.)65 b(CTEQ)42 b(2L)e(parton)f
38312 (distributions)g(etc.)67 b(When)41 b(options)f Fq(MSTP\(82\)=)i
38313 Fw(2{4)709 3232 y(are)37 b(used,)k(the)d(default)f Fq(PARP\(82\))j
38314 Fw(v)-5 b(alue)37 b(is)g(to)g(b)s(e)h(used)h(in)e(conjunction)h(with)
38315 709 3340 y Fq(MSTP\(2\)=2)d Fw(and)d Fq(MSTP\(33\)=3)p
38316 Fw(.)46 b(These)35 b(switc)m(hes)f(should)e(b)s(e)h(set)g(b)m(y)h(y)m
38317 (ou.)0 3448 y Fq(MSTP\(83\))53 b(:)48 b Fw(\(D=100\))54
38318 b(n)m(um)m(b)s(er)h(of)g(Mon)m(te)h(Carlo)e(generated)i(phase-space)h
38319 (p)s(oin)m(ts)e(p)s(er)g(bin)472 3557 y(\(whereof)46
38320 b(there)f(are)g(20\))f(in)g(the)h(initialization)39 b(\(in)44
38321 b Fq(PYMULT)p Fw(\))i(of)e(m)m(ultiple)e(in)m(terac-)472
38322 3665 y(tions)32 b(for)g Fq(MSTP\(82\))p Fn(\025)f Fw(2.)0
38323 3774 y Fq(MSTP\(91\))53 b(:)48 b Fw(\(D=1\))c(\(C\))g(primordial)e
38324 Fj(k)1611 3789 y Fk(?)1714 3774 y Fw(distribution)h(in)h(hadron.)79
38325 b(See)46 b Fq(MSTP\(93\))h Fw(for)d(pho-)472 3882 y(ton.)236
38326 3990 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(primordial)d
38327 Fj(k)1372 4005 y Fk(?)1431 3990 y Fw(.)236 4099 y Fq(=)52
38328 b(1)f(:)217 b Fw(Gaussian,)32 b(width)g(giv)m(en)h(in)f
38329 Fq(PARP\(91\))p Fw(,)i(upp)s(er)g(cut-o\013)e(in)g Fq(PARP\(93\))p
38330 Fw(.)236 4207 y Fq(=)52 b(2)f(:)217 b Fw(exp)s(onen)m(tial,)32
38331 b(width)g(giv)m(en)h(in)f Fq(PARP\(92\))p Fw(,)i(upp)s(er)f(cut-o\013)g
38332 (in)e Fq(PARP\(93\))p Fw(.)0 4315 y Fq(MSTP\(92\))53
38333 b(:)48 b Fw(\(D=4\))29 b(\(C\))i(energy)h(partitioning)27
38334 b(in)j(hadron)g(or)g(resolv)m(ed)i(photon)e(remnan)m(t,)h(when)472
38335 4424 y(this)e(remnan)m(t)f(is)g(split)f(in)m(to)h(t)m(w)m(o)i(jets.)42
38336 b(\(F)-8 b(or)28 b(a)g(splitting)e(in)m(to)i(a)h(hadron)f(plus)h(a)f
38337 (jet,)h(see)472 4532 y Fq(MSTP\(94\))p Fw(.\))49 b(The)35
38338 b(energy)g(fraction)d Fj(\037)i Fw(tak)m(en)h(b)m(y)f(one)g(of)f(the)i
38339 (t)m(w)m(o)f(ob)5 b(jects,)35 b(with)f(con-)472 4640
38340 y(v)m(en)m(tions)i(as)e(describ)s(ed)h(for)f Fq(PARP\(94\))i
38341 Fw(and)e Fq(PARP\(96\))p Fw(,)j(is)d(c)m(hosen)i(according)d(to)h(the)
38342 472 4749 y(di\013eren)m(t)f(distributions)e(b)s(elo)m(w.)44
38343 b(Here)33 b Fj(c)2014 4764 y Fl(min)2163 4749 y Fw(=)28
38344 b(2)p Fn(h)p Fj(m)2440 4764 y Fl(q)2481 4749 y Fn(i)p
38345 Fj(=E)2641 4764 y Fl(cm)2763 4749 y Fw(=)f(0)p Fj(:)p
38346 Fw(6)33 b(GeV)p Fj(=E)3338 4764 y Fl(cm)3432 4749 y Fw(.)236
38347 4857 y Fq(=)52 b(1)f(:)217 b Fw(1)29 b(for)h(meson)g(or)f(resolv)m(ed)i
38348 (photon,)g(2\(1)16 b Fn(\000)h Fj(\037)p Fw(\))30 b(for)f(bary)m(on,)i
38349 (i.e.)42 b(simple)29 b(coun)m(ting)709 4965 y(rules.)236
38350 5074 y Fq(=)52 b(2)f(:)217 b Fw(\()p Fj(k)25 b Fw(+)d(1\)\(1)f
38351 Fn(\000)i Fj(\037)p Fw(\))1315 5037 y Fh(k)1358 5074
38352 y Fw(,)32 b(with)h Fj(k)i Fw(giv)m(en)e(b)m(y)i Fq(PARP\(94\))f
38353 Fw(or)f Fq(PARP\(96\))p Fw(.)236 5215 y Fq(=)52 b(3)f(:)217
38354 b Fw(prop)s(ortional)54 b(to)i(\(1)38 b Fn(\000)h Fj(\037)p
38355 Fw(\))1777 5179 y Fh(k)1820 5215 y Fj(=)1897 5177 y Ff(4)1872
38356 5113 y Fg(q)p 1955 5113 385 4 v 102 x Fj(\037)2016 5187
38357 y Fl(2)2077 5215 y Fw(+)22 b Fj(c)2217 5181 y Fl(2)2217
38358 5239 y(min)2339 5215 y Fw(,)63 b(with)56 b Fj(k)k Fw(giv)m(en)d(b)m(y)i
38359 Fq(PARP\(94\))g Fw(or)709 5337 y Fq(PARP\(96\))p Fw(.)236
38360 5462 y Fq(=)52 b(4)f(:)217 b Fw(prop)s(ortional)54 b(to)j(\(1)38
38361 b Fn(\000)h Fj(\037)p Fw(\))1778 5426 y Fh(k)1821 5462
38362 y Fj(=)1870 5360 y Fg(q)p 1953 5360 V 102 x Fj(\037)2014
38363 5433 y Fl(2)2076 5462 y Fw(+)22 b Fj(c)2216 5428 y Fl(2)2216
38364 5486 y(min)2337 5462 y Fw(,)64 b(with)56 b Fj(k)k Fw(giv)m(en)d(b)m(y)j
38365 Fq(PARP\(94\))f Fw(or)709 5584 y Fq(PARP\(96\))p Fw(.)1817
38366 5953 y(225)p eop
38367 %%Page: 226 232
38368 226 231 bop 236 -18 a Fq(=)52 b(5)f(:)217 b Fw(prop)s(ortional)42
38369 b(to)j(\(1)30 b Fn(\000)h Fj(\037)p Fw(\))1738 -55 y
38370 Fh(k)1781 -18 y Fj(=)p Fw(\()p Fj(\037)1929 -55 y Fl(2)1999
38371 -18 y Fw(+)f Fj(c)2147 -55 y Fl(2)2147 6 y(min)2269 -18
38372 y Fw(\))2307 -55 y Fh(b=)p Fl(2)2412 -18 y Fw(,)48 b(with)d
38373 Fj(k)j Fw(giv)m(en)d(b)m(y)j Fq(PARP\(94\))f Fw(or)709
38374 90 y Fq(PARP\(96\))p Fw(,)34 b(and)f Fj(b)g Fw(b)m(y)i
38375 Fq(PARP\(98\))p Fw(.)0 198 y Fq(MSTP\(93\))53 b(:)48
38376 b Fw(\(D=1\))37 b(\(C\))g(primordial)d Fj(k)1589 213
38377 y Fk(?)1686 198 y Fw(distribution)h(in)i(photon,)i(either)f(it)e(is)i
38378 (one)f(of)h(the)g(in-)472 307 y(coming)31 b(particles)h(or)g(inside)g
38379 (an)h(electron.)236 415 y Fq(=)52 b(0)f(:)217 b Fw(no)32
38380 b(primordial)d Fj(k)1372 430 y Fk(?)1431 415 y Fw(.)236
38381 523 y Fq(=)52 b(1)f(:)217 b Fw(Gaussian,)32 b(width)g(giv)m(en)h(in)f
38382 Fq(PARP\(99\))p Fw(,)i(upp)s(er)g(cut-o\013)e(in)g Fq(PARP\(100\))p
38383 Fw(.)236 632 y Fq(=)52 b(2)f(:)217 b Fw(exp)s(onen)m(tial,)32
38384 b(width)g(giv)m(en)h(in)f Fq(PARP\(99\))p Fw(,)i(upp)s(er)f(cut-o\013)g
38385 (in)e Fq(PARP\(100\))p Fw(.)236 740 y Fq(=)52 b(3)f(:)217
38386 b Fw(p)s(o)m(w)m(er-lik)m(e)29 b(of)f(the)i(t)m(yp)s(e)g(d)p
38387 Fj(k)1765 704 y Fl(2)1762 765 y Fk(?)1821 740 y Fj(=)p
38388 Fw(\()p Fj(k)1962 704 y Fl(2)1959 765 y Fk(?)p Fl(0)2068
38389 740 y Fw(+)15 b Fj(k)2213 704 y Fl(2)2210 765 y Fk(?)2269
38390 740 y Fw(\))2307 704 y Fl(2)2347 740 y Fw(,)30 b(with)f
38391 Fj(k)2674 755 y Fk(?)p Fl(0)2797 740 y Fw(in)f Fq(PARP\(99\))k
38392 Fw(and)d(upp)s(er)709 848 y Fj(k)760 863 y Fk(?)851 848
38393 y Fw(cut-o\013)j(in)g Fq(PARP\(100\))p Fw(.)236 957 y
38394 Fq(=)52 b(4)f(:)217 b Fw(p)s(o)m(w)m(er-lik)m(e)32 b(of)f(the)i(t)m(yp)
38395 s(e)g(d)p Fj(k)1777 920 y Fl(2)1774 981 y Fk(?)1833 957
38396 y Fj(=)p Fw(\()p Fj(k)1974 920 y Fl(2)1971 981 y Fk(?)p
38397 Fl(0)2086 957 y Fw(+)21 b Fj(k)2237 920 y Fl(2)2234 981
38398 y Fk(?)2292 957 y Fw(\),)32 b(with)g Fj(k)2662 972 y
38399 Fk(?)p Fl(0)2788 957 y Fw(in)g Fq(PARP\(99\))i Fw(and)e(upp)s(er)709
38400 1065 y Fj(k)760 1080 y Fk(?)851 1065 y Fw(cut-o\013)g(in)g
38401 Fq(PARP\(100\))p Fw(.)236 1173 y Fq(=)52 b(5)f(:)217
38402 b Fw(p)s(o)m(w)m(er-lik)m(e)32 b(of)f(the)i(t)m(yp)s(e)g(d)p
38403 Fj(k)1777 1137 y Fl(2)1774 1198 y Fk(?)1833 1173 y Fj(=)p
38404 Fw(\()p Fj(k)1974 1137 y Fl(2)1971 1198 y Fk(?)p Fl(0)2086
38405 1173 y Fw(+)21 b Fj(k)2237 1137 y Fl(2)2234 1198 y Fk(?)2292
38406 1173 y Fw(\),)32 b(with)g Fj(k)2662 1188 y Fk(?)p Fl(0)2788
38407 1173 y Fw(in)g Fq(PARP\(99\))i Fw(and)e(upp)s(er)709
38408 1282 y Fj(k)760 1297 y Fk(?)842 1282 y Fw(cut-o\013)22
38409 b(giv)m(en)i(b)m(y)g(the)g Fj(p)1718 1297 y Fk(?)1800
38410 1282 y Fw(of)e(the)i(hard)f(pro)s(cess)i(or)e(b)m(y)i
38411 Fq(PARP\(100\))p Fw(,)j(whic)m(hev)m(er)709 1390 y(is)k(smaller.)236
38412 1498 y Fo(Note:)203 b Fw(for)39 b(options)h(1)g(and)g(2)g(the)h
38413 Fq(PARP\(100\))h Fw(v)-5 b(alue)40 b(is)g(of)g(minor)e(imp)s(ortance,)j
38414 (once)709 1607 y Fq(PARP\(100\))p Fn(\035)p Fq(PARP\(99\))p
38415 Fw(.)60 b(Ho)m(w)m(ev)m(er,)41 b(options)36 b(3)g(and)h(4)g(corresp)s
38416 (ond)h(to)e(distri-)709 1715 y(butions)28 b(with)h(in\014nite)f
38417 Fn(h)p Fj(k)1691 1679 y Fl(2)1688 1740 y Fk(?)1747 1715
38418 y Fn(i)g Fw(if)g(the)i Fj(k)2116 1730 y Fk(?)2203 1715
38419 y Fw(sp)s(ectrum)g(is)e(not)h(cut)g(o\013,)h(and)f(therefore)709
38420 1823 y(the)45 b Fq(PARP\(100\))i Fw(v)-5 b(alue)44 b(is)g(as)h(imp)s
38421 (ortan)m(t)e(for)h(the)h(o)m(v)m(erall)e(distribution)g(as)i(is)709
38422 1932 y Fq(PARP\(99\))p Fw(.)0 2040 y Fq(MSTP\(94\))53
38423 b(:)48 b Fw(\(D=2\))29 b(\(C\))i(energy)h(partitioning)27
38424 b(in)j(hadron)g(or)g(resolv)m(ed)i(photon)e(remnan)m(t,)h(when)472
38425 2148 y(this)k(remnan)m(t)g(is)g(split)e(in)m(to)i(a)f(hadron)h(plus)g
38426 (a)g(remainder-jet.)50 b(The)36 b(energy)g(fraction)472
38427 2257 y(c)m(hi)c(is)f(tak)m(en)i(b)m(y)f(one)g(of)g(the)g(t)m(w)m(o)g
38428 (ob)5 b(jects,)33 b(with)f(con)m(v)m(en)m(tions)h(as)f(describ)s(ed)g
38429 (b)s(elo)m(w)g(or)472 2365 y(for)g Fq(PARP\(95\))j Fw(and)e
38430 Fq(PARP\(97\))p Fw(.)236 2473 y Fq(=)52 b(1)f(:)217 b
38431 Fw(1)29 b(for)h(meson)g(or)f(resolv)m(ed)i(photon,)g(2\(1)16
38432 b Fn(\000)h Fj(\037)p Fw(\))30 b(for)f(bary)m(on,)i(i.e.)42
38433 b(simple)29 b(coun)m(ting)709 2582 y(rules.)236 2690
38434 y Fq(=)52 b(2)f(:)217 b Fw(\()p Fj(k)25 b Fw(+)d(1\)\(1)f
38435 Fn(\000)i Fj(\037)p Fw(\))1315 2654 y Fh(k)1358 2690
38436 y Fw(,)32 b(with)h Fj(k)i Fw(giv)m(en)e(b)m(y)i Fq(PARP\(95\))f
38437 Fw(or)f Fq(PARP\(97\))p Fw(.)236 2798 y Fq(=)52 b(3)f(:)217
38438 b Fw(the)40 b Fj(\037)h Fw(of)f(the)g(hadron)h(is)e(selected)j
38439 (according)d(to)h(the)h(normal)d(fragmen)m(tation)709
38440 2907 y(function)i(used)i(for)e(the)h(hadron)f(in)g(jet)h(fragmen)m
38441 (tation,)g(see)h Fq(MSTJ\(11\))p Fw(.)70 b(The)709 3015
38442 y(p)s(ossibilit)m(y)39 b(of)j(a)f(c)m(hanged)i(fragmen)m(tation)d
38443 (function)h(shap)s(e)i(in)e(diquark)h(frag-)709 3123
38444 y(men)m(tation)31 b(\(see)j Fq(PARJ\(45\))p Fw(\))g(is)e(not)h
38445 (included.)236 3232 y Fq(=)52 b(4)f(:)217 b Fw(as)29
38446 b Fq(=3)p Fw(,)i(but)f(the)g(shap)s(e)g(is)f(c)m(hanged)h(as)g(allo)m
38447 (w)m(ed)f(in)f(diquark)i(fragmen)m(tation)d(\(see)709
38448 3340 y Fq(PARJ\(45\))p Fw(\);)34 b(this)d(c)m(hange)h(is)f(here)h(also)
38449 e(allo)m(w)m(ed)h(for)g(meson)g(pro)s(duction.)42 b(\(This)709
38450 3448 y(option)35 b(is)h(not)g(so)g(natural)g(for)f(mesons,)j(but)f(has)
38451 f(b)s(een)i(added)e(to)g(pro)m(vide)h(the)709 3557 y(same)32
38452 b(amoun)m(t)g(of)g(freedom)g(as)h(for)f(bary)m(ons\).)0
38453 3665 y Fq(MSTP\(131\))54 b(:)47 b Fw(\(D=0\))37 b(master)g(switc)m(h)h
38454 (for)f(pile-up)f(ev)m(en)m(ts,)41 b(i.e.)57 b(sev)m(eral)38
38455 b(indep)s(enden)m(t)h(hadron{)472 3774 y(hadron)47 b(in)m(teractions)e
38456 (generated)i(in)f(the)h(same)f(bunc)m(h{bunc)m(h)i(crossing,)i(with)c
38457 (the)472 3882 y(ev)m(en)m(ts)35 b(follo)m(wing)30 b(one)j(after)f(the)h
38458 (other)g(in)f(the)h(ev)m(en)m(t)h(record.)236 3990 y
38459 Fq(=)52 b(0)f(:)217 b Fw(o\013,)32 b(i.e.)43 b(only)32
38460 b(one)h(ev)m(en)m(t)h(is)e(generated)i(at)e(a)g(time.)236
38461 4099 y Fq(=)52 b(1)f(:)217 b Fw(on,)31 b(i.e.)43 b(sev)m(eral)33
38462 b(ev)m(en)m(ts)g(are)f(allo)m(w)m(ed)f(in)g(the)h(same)f(ev)m(en)m(t)j
38463 (record.)44 b(Information)709 4207 y(on)32 b(the)h(pro)s(cesses)i
38464 (generated)e(ma)m(y)g(b)s(e)f(found)h(in)f Fq(MSTI\(41\))53
38465 b(-)f(MSTI\(50\))p Fw(.)0 4315 y Fq(MSTP\(132\))i(:)47
38466 b Fw(\(D=4\))25 b(the)i(pro)s(cesses)h(that)e(are)h(switc)m(hed)g(on)f
38467 (for)g(pile-up)f(ev)m(en)m(ts.)44 b(The)27 b(\014rst)g(ev)m(en)m(t)472
38468 4424 y(ma)m(y)e(b)s(e)g(set)g(up)g(completely)e(arbitrarily)-8
38469 b(,)24 b(using)g(the)h(switc)m(hes)h(in)e(the)h Fq(PYSUBS)h
38470 Fw(common)472 4532 y(blo)s(c)m(k,)52 b(while)47 b(all)f(the)j
38471 (subsequen)m(t)i(ev)m(en)m(ts)f(ha)m(v)m(e)g(to)e(b)s(e)g(of)f(one)i
38472 (of)e(the)i(`inclusiv)m(e')472 4640 y(pro)s(cesses)31
38473 b(whic)m(h)f(dominate)d(the)i(cross)h(section,)g(according)e(to)h(the)g
38474 (options)f(b)s(elo)m(w.)42 b(It)472 4749 y(is)33 b(th)m(us)g(not)g(p)s
38475 (ossible)e(to)i(generate)g(t)m(w)m(o)g(rare)g(ev)m(en)m(ts)i(in)c(the)i
38476 (pile-up)f(option.)236 4857 y Fq(=)52 b(1)f(:)217 b Fw(lo)m(w-)p
38477 Fj(p)935 4872 y Fk(?)1035 4857 y Fw(pro)s(cesses)44 b(\(ISUB)f(=)f
38478 (95\))f(only)-8 b(.)72 b(The)43 b(lo)m(w-)p Fj(p)2782
38479 4872 y Fk(?)2882 4857 y Fw(mo)s(del)d(actually)h(used,)709
38480 4965 y(b)s(oth)50 b(in)f(the)i(hard)g(ev)m(en)m(t)h(and)e(in)g(the)h
38481 (pile-up)e(ev)m(en)m(ts,)57 b(is)50 b(the)h(one)f(set)i(b)m(y)709
38482 5074 y Fq(MSTP\(81\))37 b Fw(etc.)53 b(This)36 b(means)g(that)f
38483 (implicitly)c(also)k(high-)p Fj(p)3005 5089 y Fk(?)3098
38484 5074 y Fw(jets)h(can)g(b)s(e)g(gen-)709 5182 y(erated)d(in)f(the)h
38485 (pile-up)e(ev)m(en)m(ts.)236 5290 y Fq(=)52 b(2)f(:)217
38486 b Fw(lo)m(w-)p Fj(p)935 5305 y Fk(?)1025 5290 y Fw(+)33
38487 b(double)f(di\013ractiv)m(e)g(pro)s(cesses)j(\(ISUB)e(=)f(95)g(and)h
38488 (94\).)236 5399 y Fq(=)52 b(3)f(:)217 b Fw(lo)m(w-)p
38489 Fj(p)935 5414 y Fk(?)1033 5399 y Fw(+)40 b(double)h(di\013ractiv)m(e)f
38490 (+)g(single)f(di\013ractiv)m(e)h(pro)s(cesses)j(\(ISUB)e(=)f(95,)709
38491 5507 y(94,)32 b(93)g(and)h(92\).)236 5615 y Fq(=)52 b(4)f(:)217
38492 b Fw(lo)m(w-)p Fj(p)935 5630 y Fk(?)1031 5615 y Fw(+)39
38493 b(double)f(di\013ractiv)m(e)g(+)g(single)f(di\013ractiv)m(e)h(+)h
38494 (elastic)e(pro)s(cesses,)42 b(to-)1817 5953 y(226)p eop
38495 %%Page: 227 233
38496 227 232 bop 709 -18 a Fw(gether)40 b(corresp)s(onding)g(to)g(the)h
38497 (full)d(hadron{hadron)i(cross)h(section)f(\(ISUB)h(=)709
38498 90 y(95,)32 b(94,)g(93,)g(92)g(and)h(91\).)0 198 y Fq(MSTP\(133\))54
38499 b(:)47 b Fw(\(D=0\))32 b(m)m(ultiplicit)m(y)d(distribution)h(of)i
38500 (pile-up)g(ev)m(en)m(ts.)236 307 y Fq(=)52 b(0)f(:)217
38501 b Fw(selected)28 b(b)m(y)h(user,)g(b)s(efore)f(eac)m(h)g
38502 Fq(PYEVNT)h Fw(call,)e(b)m(y)h(giving)e(the)i Fq(MSTP\(134\))i
38503 Fw(v)-5 b(alue.)236 415 y Fq(=)52 b(1)f(:)217 b Fw(a)52
38504 b(P)m(oissonian)g(m)m(ultiplicit)m(y)d(distribution)h(in)i(the)h(total)
38505 e(n)m(um)m(b)s(er)i(of)f(pile-up)709 523 y(ev)m(en)m(ts.)108
38506 b(This)54 b(is)e(the)i(relev)-5 b(an)m(t)54 b(distribution)d(if)h(the)i
38507 (switc)m(hes)h(set)f(for)f(the)709 632 y(\014rst)i(ev)m(en)m(t)i(in)d
38508 Fq(PYSUBS)i Fw(giv)m(e)f(the)g(same)g(subpro)s(cesses)j(as)d(are)f
38509 (implied)f(b)m(y)709 740 y Fq(MSTP\(132\))p Fw(.)77 b(In)43
38510 b(that)g(case)h(the)g(mean)e(n)m(um)m(b)s(er)i(of)e(ev)m(en)m(ts)j(p)s
38511 (er)f(b)s(eam)e(cross-)709 848 y(ing)37 b(is)p 981 795
38512 59 4 v 38 w Fj(n)h Fw(=)f Fj(\033)1245 863 y Fl(pile)1359
38513 848 y Fn(\002)p Fq(PARP\(131\))p Fw(,)43 b(where)d Fj(\033)2308
38514 863 y Fl(pile)2460 848 y Fw(is)e(the)h(sum)f(of)g(the)h(cross)g
38515 (section)709 957 y(for)28 b(allo)m(w)m(ed)h(pro)s(cesses.)44
38516 b(Since)30 b(bunc)m(h)g(crossing)f(whic)m(h)h(do)f(not)g(giv)m(e)g(an)m
38517 (y)h(ev)m(en)m(ts)709 1065 y(at)23 b(all)e(\(probabilit)m(y)h(exp)q(\()
38518 p Fn(\000)p 1737 1012 V Fj(n)p Fw(\)\))h(are)h(not)f(sim)m(ulated,)h
38519 (the)g(actual)f(a)m(v)m(erage)h(n)m(um)m(b)s(er)709 1173
38520 y(p)s(er)32 b Fq(PYEVNT)i Fw(call)d(is)h Fn(h)p Fj(n)p
38521 Fn(i)c Fw(=)p 1763 1120 V 27 w Fj(n)q(=)p Fw(\(1)21 b
38522 Fn(\000)i Fw(exp)q(\()p Fn(\000)p 2343 1120 V Fj(n)q
38523 Fw(\)\).)236 1282 y Fq(=)52 b(2)f(:)217 b Fw(a)22 b(biased)h
38524 (distribution,)g(as)f(is)h(relev)-5 b(an)m(t)22 b(when)i(one)f(of)f
38525 (the)h(ev)m(en)m(ts)i(to)e(b)s(e)g(generated)709 1390
38526 y(is)30 b(assumed)h(to)g(b)s(elong)f(to)g(an)h(ev)m(en)m(t)i(class)e
38527 (with)f(a)g(cross)i(section)f(m)m(uc)m(h)g(smaller)709
38528 1498 y(than)g(the)h(total)f(hadronic)g(cross)h(section.)44
38529 b(If)31 b Fj(\033)2488 1513 y Fl(rare)2646 1498 y Fw(is)g(the)h(cross)h
38530 (section)f(for)f(this)709 1607 y(rare)37 b(pro)s(cess)h(\(or)f(the)h
38531 (sum)f(of)g(the)h(cross)g(sections)g(of)f(sev)m(eral)h(rare)f(pro)s
38532 (cesses\))709 1715 y(and)c Fj(\033)954 1730 y Fl(pile)1103
38533 1715 y Fw(the)h(cross)g(section)g(for)f(the)i(pro)s(cesses)g(allo)m(w)m
38534 (ed)e(b)m(y)j Fq(MSTP\(132\))p Fw(,)h(then)709 1823 y(de\014ne)p
38535 994 1770 V 37 w Fj(n)c Fw(=)g Fj(\033)1249 1838 y Fl(pile)1363
38536 1823 y Fn(\002)p Fq(PARP\(131\))39 b Fw(and)d Fj(f)43
38537 b Fw(=)33 b Fj(\033)2386 1838 y Fl(rare)2513 1823 y Fj(=\033)2617
38538 1838 y Fl(pile)2731 1823 y Fw(.)53 b(The)36 b(probabilit)m(y)e(that)i
38539 (a)709 1932 y(bunc)m(h)g(crossing)f(will)e(giv)m(e)i
38540 Fj(i)g Fw(ev)m(en)m(ts)i(is)e(then)g Fn(P)2523 1947 y
38541 Fh(i)2584 1932 y Fw(=)c Fj(f)d(i)33 b Fw(exp)q(\()p Fn(\000)p
38542 3097 1879 V Fj(n)q Fw(\))p 3211 1879 V 17 w Fj(n)3269
38543 1896 y Fh(i)3297 1932 y Fj(=i)p Fw(!,)j(i.e.)50 b(the)709
38544 2040 y(na)-11 b(\177)-38 b(\020v)m(e)34 b(P)m(oissonian)f(is)g
38545 (suppressed)j(b)m(y)f(a)f(factor)f Fj(f)44 b Fw(since)34
38546 b(one)g(of)g(the)g(ev)m(en)m(ts)i(will)709 2148 y(b)s(e)30
38547 b(rare)h(rather)f(than)g(frequen)m(t,)j(but)d(enhanced)i(b)m(y)g(a)e
38548 (factor)g Fj(i)g Fw(since)h(an)m(y)g(of)f(the)709 2257
38549 y Fj(i)37 b Fw(ev)m(en)m(ts)j(ma)m(y)d(b)s(e)h(the)g(rare)f(one.)59
38550 b(Only)37 b(b)s(eam)f(crossings)i(whic)m(h)g(giv)m(e)g(at)f(least)709
38551 2365 y(one)h(ev)m(en)m(t)i(of)e(the)h(required)g(rare)f(t)m(yp)s(e)h
38552 (are)g(sim)m(ulated,)f(and)h(the)f(distribution)709 2473
38553 y(ab)s(o)m(v)m(e)33 b(normalized)e(accordingly)-8 b(.)236
38554 2582 y Fo(Note:)203 b Fw(for)46 b(practical)g(reasons,)51
38555 b(it)46 b(is)h(required)g(that)p 2522 2529 V 47 w Fj(n)52
38556 b(<)g Fw(120,)e(i.e.)86 b(that)47 b(an)g(a)m(v)m(er-)709
38557 2690 y(age)36 b(b)s(eam)g(crossing)g(do)s(es)h(not)f(con)m(tain)g(more)
38558 g(than)g(120)g(pile-up)f(ev)m(en)m(ts.)58 b(The)709 2798
38559 y(m)m(ultiplicit)m(y)27 b(distribution)i(is)h(truncated)h(ab)s(o)m(v)m
38560 (e)h(200,)e(or)h(when)g(the)g(probabilit)m(y)709 2907
38561 y(for)37 b(a)h(m)m(ultiplicit)m(y)c(has)39 b(fallen)d(b)s(elo)m(w)i(10)
38562 2306 2871 y Fk(\000)p Fl(6)2400 2907 y Fw(,)h(whic)m(hev)m(er)h(o)s
38563 (ccurs)f(so)s(oner.)60 b(Also)709 3015 y(lo)m(w)36 b(m)m(ultiplicities)
38564 d(with)j(probabilities)e(b)s(elo)m(w)j(10)2645 2979 y
38565 Fk(\000)p Fl(6)2776 3015 y Fw(are)g(truncated.)58 b(See)37
38566 b(also)709 3123 y Fq(PARI\(91\))53 b(-)f(PARI\(93\))p
38567 Fw(.)0 3232 y Fq(MSTP\(134\))i(:)47 b Fw(\(D=1\))37 b(a)g(user)h
38568 (selected)h(m)m(ultiplicit)m(y)-8 b(,)35 b(i.e.)57 b(total)36
38569 b(n)m(um)m(b)s(er)i(of)f(pile-up)f(ev)m(en)m(ts,)41 b(to)472
38570 3340 y(b)s(e)e(generated)f(in)f(the)i(next)f Fq(PYEVNT)i
38571 Fw(call.)57 b(Ma)m(y)39 b(b)s(e)f(reset)h(for)e(eac)m(h)i(new)g(ev)m
38572 (en)m(t,)i(but)472 3448 y(m)m(ust)33 b(b)s(e)g(in)f(the)h(range)f(1)c
38573 Fn(\024)p Fq(MSTP\(134\))p Fn(\024)j Fw(200.)0 3611 y
38574 Fq(PARP\(81\))53 b(:)48 b Fw(\(D=1.40)22 b(GeV/)p Fj(c)p
38575 Fw(\))h(e\013ectiv)m(e)i(minim)m(um)20 b(transv)m(erse)26
38576 b(momen)m(tum)c Fj(p)3090 3626 y Fk(?)p Fl(min)3290 3611
38577 y Fw(for)h(m)m(ultiple)472 3719 y(in)m(teractions)32
38578 b(with)h Fq(MSTP\(82\)=1)p Fw(.)0 3828 y Fq(PARP\(82\))53
38579 b(:)48 b Fw(\(D=1.55)29 b(GeV/)p Fj(c)p Fw(\))g(regularization)e(scale)
38580 j Fj(p)2198 3843 y Fk(?)p Fl(0)2322 3828 y Fw(of)g(the)g(transv)m(erse)
38581 i(momen)m(tum)d(sp)s(ec-)472 3936 y(trum)j(for)g(m)m(ultiple)e(in)m
38582 (teractions)i(with)h Fq(MSTP\(82\))p Fn(\025)d Fw(2.)0
38583 4044 y Fq(PARP\(83\),)54 b(PARP\(84\))f(:)48 b Fw(\(D=0.5,)29
38584 b(0.2\))g(parameters)g(of)g(an)h(assumed)g(double)f(Gaussian)g(matter)
38585 472 4153 y(distribution)i(inside)i(the)g(colliding)d(hadrons)j(for)g
38586 Fq(MSTP\(82\)=4)p Fw(,)i(of)e(the)g(form)f(giv)m(en)h(in)472
38587 4261 y(eq.)26 b(\(165\),)g(i.e.)40 b(with)25 b(a)f(core)i(of)e(radius)h
38588 Fq(PARP\(84\))h Fw(of)f(the)g(main)e(radius)i(and)g(con)m(taining)472
38589 4369 y(a)33 b(fraction)e Fq(PARP\(83\))k Fw(of)d(the)h(total)e
38590 (hadronic)h(matter.)0 4478 y Fq(PARP\(85\))53 b(:)48
38591 b Fw(\(D=0.33\))42 b(probabilit)m(y)f(that)i(an)g(additional)e(in)m
38592 (teraction)h(in)h(the)g(m)m(ultiple)e(in)m(ter-)472 4586
38593 y(action)34 b(formalism)e(giv)m(es)j(t)m(w)m(o)g(gluons,)g(with)g
38594 (colour)f(connections)h(to)g(`nearest)g(neigh-)472 4694
38595 y(b)s(ours')e(in)f(momen)m(tum)f(space.)0 4803 y Fq(PARP\(86\))53
38596 b(:)48 b Fw(\(D=0.66\))32 b(probabilit)m(y)f(that)i(an)g(additional)d
38597 (in)m(teraction)i(in)g(the)h(m)m(ultiple)e(in)m(terac-)472
38598 4911 y(tion)c(formalism)e(giv)m(es)j(t)m(w)m(o)g(gluons,)h(either)e(as)
38599 h(describ)s(ed)h(in)e Fq(PARP\(85\))j Fw(or)e(as)g(a)f(closed)472
38600 5019 y(gluon)47 b(lo)s(op.)88 b(Remaining)45 b(fraction)i(is)g(supp)s
38601 (osed)j(to)d(consist)h(of)g(quark{an)m(tiquark)472 5128
38602 y(pairs.)0 5236 y Fq(PARP\(87\),)54 b(PARP\(88\))f(:)48
38603 b Fw(\(D=0.7,)37 b(0.5\))g(in)g(order)g(to)g(accoun)m(t)h(for)f(an)g
38604 (assumed)h(dominance)f(of)472 5344 y(v)-5 b(alence)28
38605 b(quarks)h(at)f(lo)m(w)f(transv)m(erse)j(momen)m(tum)c(scales,)j(a)e
38606 (probabilit)m(y)f(is)h(in)m(tro)s(duced)472 5453 y(that)36
38607 b(a)g(gg)q(-scattering)f(according)h(to)g(na)-11 b(\177)-38
38608 b(\020v)m(e)36 b(cross)h(section)f(is)g(replaced)g(b)m(y)h(a)f(q)p
38609 3518 5400 52 4 v(q)h(one;)472 5561 y(this)i(is)g(used)i(only)d(for)h
38610 Fq(MSTP\(82\))p Fn(\025)j Fw(2.)63 b(The)40 b(probabilit)m(y)d(is)i
38611 (parametrized)g(as)g Fn(P)48 b Fw(=)1817 5953 y(227)p
38612 eop
38613 %%Page: 228 234
38614 228 233 bop 472 -18 a Fj(a)p Fw(\(1)22 b Fn(\000)h Fw(\()p
38615 Fj(p)819 -55 y Fl(2)819 6 y Fk(?)878 -18 y Fj(=)p Fw(\()p
38616 Fj(p)1014 -55 y Fl(2)1014 6 y Fk(?)1095 -18 y Fw(+)f
38617 Fj(b)1234 -55 y Fl(2)1274 -18 y Fw(\))1312 -55 y Fl(2)1351
38618 -18 y Fw(\),)33 b(where)h Fj(a)27 b Fw(=)p Fq(PARP\(87\))35
38619 b Fw(and)e Fj(b)28 b Fw(=)p Fq(PARP\(88\))p Fn(\002)p
38620 Fq(PARP\(82\))p Fw(.)0 90 y Fq(PARP\(91\))53 b(:)48 b
38621 Fw(\(D=0.44)41 b(GeV/)p Fj(c)p Fw(\))h(\(C\))h(width)g(of)f(Gaussian)g
38622 (primordial)d Fj(k)2892 105 y Fk(?)2993 90 y Fw(distribution)i(inside)
38623 472 198 y(hadron)52 b(for)e Fq(MSTP\(91\)=1)p Fw(,)59
38624 b(i.e.)99 b(exp)q(\()p Fn(\000)p Fj(k)2127 162 y Fl(2)2124
38625 223 y Fk(?)2183 198 y Fj(=\033)2291 162 y Fl(2)2330 198
38626 y Fw(\))17 b Fj(k)2436 213 y Fk(?)2511 198 y Fw(d)p Fj(k)2616
38627 213 y Fk(?)2726 198 y Fw(with)51 b Fj(\033)63 b Fw(=)p
38628 Fq(PARP\(91\))53 b Fw(and)472 307 y Fn(h)p Fj(k)565 270
38629 y Fl(2)562 331 y Fk(?)621 307 y Fn(i)27 b Fw(=)p Fq(PARP\(91\))1171
38630 270 y Fl(2)1213 307 y Fw(.)0 415 y Fq(PARP\(92\))53 b(:)48
38631 b Fw(\(D=0.20)24 b(GeV/)p Fj(c)p Fw(\))g(\(C\))i(width)f(parameter)f
38632 (of)h(exp)s(onen)m(tial)g(primordial)c Fj(k)3332 430
38633 y Fk(?)3416 415 y Fw(distribu-)472 523 y(tion)26 b(inside)f(hadron)i
38634 (for)f Fq(MSTP\(91\)=2)p Fw(,)k(i.e.)41 b(exp)q(\()p
38635 Fn(\000)p Fj(k)2453 538 y Fk(?)2512 523 y Fj(=\033)t
38636 Fw(\))17 b Fj(k)2726 538 y Fk(?)2801 523 y Fw(d)p Fj(k)2906
38637 538 y Fk(?)2991 523 y Fw(with)26 b Fj(\033)32 b Fw(=)p
38638 Fq(PARP\(92\))472 646 y Fw(and)k Fn(h)p Fj(k)758 610
38639 y Fl(2)755 671 y Fk(?)814 646 y Fn(i)d Fw(=)g(6)p Fn(\002)p
38640 Fq(PARP\(92\))1529 610 y Fl(2)1571 646 y Fw(.)53 b(Th)m(us)38
38641 b(one)e(should)g(put)g Fq(PARP\(92\))p Fn(\031)p Fq(PARP\(91\))p
38642 Fj(=)3521 564 y Fn(p)p 3608 564 49 4 v 3608 646 a Fw(6)g(to)472
38643 755 y(ha)m(v)m(e)e(con)m(tin)m(uit)m(y)f(with)f(the)h(option)f(ab)s(o)m
38644 (v)m(e.)0 863 y Fq(PARP\(93\))53 b(:)48 b Fw(\(D=2.)110
38645 b(GeV/)p Fj(c)p Fw(\))55 b(\(C\))h(upp)s(er)g(cut-o\013)f(for)f
38646 (primordial)e Fj(k)2867 878 y Fk(?)2981 863 y Fw(distribution)h(inside)
38647 472 971 y(hadron.)0 1080 y Fq(PARP\(94\))g(:)48 b Fw(\(D=1.\))71
38648 b(\(C\))43 b(for)f Fq(MSTP\(92\))p Fn(\025)k Fw(2)c(this)g(giv)m(es)h
38649 (the)g(v)-5 b(alue)41 b(of)h(the)h(parameter)f Fj(k)j
38650 Fw(for)472 1188 y(the)31 b(case)g(when)h(a)e(meson)g(or)g(resolv)m(ed)i
38651 (photon)e(remnan)m(t)g(is)g(split)f(in)m(to)h(t)m(w)m(o)h(fragmen)m(ts)
38652 472 1296 y(\(whic)m(h)i(is)g(whic)m(h)g(is)f(c)m(hosen)i(at)e
38653 (random\).)0 1405 y Fq(PARP\(95\))53 b(:)48 b Fw(\(D=0.\))h(\(C\))36
38654 b(for)e Fq(MSTP\(94\)=2)k Fw(this)c(giv)m(es)i(the)f(v)-5
38655 b(alue)34 b(of)h(the)g(parameter)g Fj(k)j Fw(for)c(the)472
38656 1513 y(case)43 b(when)f(a)f(meson)h(or)f(resolv)m(ed)h(photon)f(remnan)
38657 m(t)g(is)g(split)f(in)m(to)h(a)g(meson)g(and)h(a)472
38658 1621 y(sp)s(ectator)33 b(fragmen)m(t)e(jet,)h(with)f
38659 Fj(\037)h Fw(giving)e(the)i(energy)h(fraction)e(tak)m(en)h(b)m(y)h(the)
38660 f(meson.)0 1730 y Fq(PARP\(96\))53 b(:)48 b Fw(\(D=3.\))42
38661 b(\(C\))32 b(for)e Fq(MSTP\(92\))p Fn(\025)h Fw(2)g(this)f(giv)m(es)i
38662 (the)g(v)-5 b(alue)31 b(of)f(the)i(parameter)f Fj(k)j
38663 Fw(for)d(the)472 1838 y(case)43 b(when)f(a)g(n)m(ucleon)g(remnan)m(t)f
38664 (is)g(split)f(in)m(to)h(a)g(diquark)h(and)g(a)f(quark)h(fragmen)m(t,)
38665 472 1947 y(with)33 b Fj(\037)f Fw(giving)f(the)i(energy)h(fraction)d
38666 (tak)m(en)j(b)m(y)f(the)g(quark)h(jet.)0 2055 y Fq(PARP\(97\))53
38667 b(:)48 b Fw(\(D=1.\))h(\(C\))36 b(for)e Fq(MSTP\(94\)=2)k
38668 Fw(this)c(giv)m(es)i(the)f(v)-5 b(alue)34 b(of)h(the)g(parameter)g
38669 Fj(k)j Fw(for)c(the)472 2163 y(case)c(when)h(a)e(n)m(ucleon)g(remnan)m
38670 (t)g(is)g(split)f(in)m(to)g(a)h(bary)m(on)h(and)f(a)g(quark)h(jet)f(or)
38671 g(a)f(meson)472 2272 y(and)k(a)g(diquark)f(jet,)h(with)g
38672 Fj(\037)f Fw(giving)f(the)i(energy)h(fraction)d(tak)m(en)j(b)m(y)g(the)
38673 f(quark)g(jet)g(or)472 2380 y(meson,)h(resp)s(ectiv)m(ely)-8
38674 b(.)0 2488 y Fq(PARP\(98\))53 b(:)48 b Fw(\(D=0.75\))28
38675 b(\(C\))h(for)f Fq(MSTP\(92\)=5)k Fw(this)d(giv)m(es)g(the)g(p)s(o)m(w)
38676 m(er)h(of)f(an)g(assumed)h(basic)f(1)p Fj(=\037)3746
38677 2452 y Fh(b)472 2597 y Fw(b)s(eha)m(viour)k(in)f(the)h(splitting)d
38678 (distribution,)h(with)h Fj(b)c Fw(=)p Fq(PARP\(98\))p
38679 Fw(.)0 2705 y Fq(PARP\(99\))53 b(:)48 b Fw(\(D=0.44)36
38680 b(GeV/)p Fj(c)p Fw(\))h(\(C\))h(width)f(parameter)g(of)g(primordial)d
38681 Fj(k)2903 2720 y Fk(?)2999 2705 y Fw(distribution)h(inside)472
38682 2813 y(photon;)e(exact)h(meaning)d(dep)s(ends)j(on)f
38683 Fq(MSTP\(93\))i Fw(v)-5 b(alue)32 b(c)m(hosen)i(\(cf.)44
38684 b Fq(PARP\(91\))34 b Fw(and)472 2922 y Fq(PARP\(92\))h
38685 Fw(ab)s(o)m(v)m(e\).)0 3030 y Fq(PARP\(100\))54 b(:)47
38686 b Fw(\(D=2.)42 b(GeV/)p Fj(c)p Fw(\))30 b(\(C\))g(upp)s(er)g(cut-o\013)
38687 g(for)f(primordial)e Fj(k)2698 3045 y Fk(?)2786 3030
38688 y Fw(distribution)h(inside)i(pho-)472 3138 y(ton.)0 3247
38689 y Fq(PARP\(131\))54 b(:)47 b Fw(\(D=0.01)22 b(m)m(b)1129
38690 3210 y Fk(\000)p Fl(1)1224 3247 y Fw(\))h(in)g(the)h(pile-up)e(ev)m(en)
38691 m(ts)k(scenario,)g Fq(PARP\(131\))g Fw(giv)m(es)e(the)g(assumed)472
38692 3355 y(luminosit)m(y)35 b(p)s(er)i(bunc)m(h{bunc)m(h)i(crossing,)e
38693 (i.e.)55 b(if)36 b(a)g(subpro)s(cess)j(has)e(a)f(cross)h(section)472
38694 3463 y Fj(\033)t Fw(,)52 b(the)c(a)m(v)m(erage)h(n)m(um)m(b)s(er)f(of)f
38695 (ev)m(en)m(ts)k(of)c(this)g(t)m(yp)s(e)i(p)s(er)f(bunc)m(h{bunc)m(h)i
38696 (crossing)e(is)p 472 3519 59 4 v 472 3572 a Fj(n)41 b
38697 Fw(=)f Fj(\033)t Fn(\002)p Fq(PARP\(131\))p Fw(.)69 b
38698 Fq(PARP\(131\))42 b Fw(ma)m(y)e(b)s(e)g(obtained)f(b)m(y)i(dividing)d
38699 (the)j(in)m(tegrated)472 3680 y(luminosit)m(y)23 b(o)m(v)m(er)j(a)e
38700 (giv)m(en)h(time)e(\(1)h(s,)j(sa)m(y\))e(b)m(y)h(the)f(n)m(um)m(b)s(er)
38701 g(of)f(bunc)m(h{bunc)m(h)j(crossings)472 3788 y(that)35
38702 b(this)g(corresp)s(onds)h(to.)51 b(Since)35 b(the)h(program)d(will)g
38703 (not)i(generate)h(more)e(than)h(200)472 3897 y(pile-up)d(ev)m(en)m(ts,)
38704 j(the)e(initialization)27 b(pro)s(cedure)33 b(will)d(crash)k(if)p
38705 2839 3844 V 31 w Fj(n)f Fw(is)f(ab)s(o)m(v)m(e)h(120.)1817
38706 5953 y(228)p eop
38707 %%Page: 229 235
38708 229 234 bop 0 -18 a Ft(12)161 b(F)-13 b(ragmen)l(tation)0
38709 189 y Fw(The)39 b(main)e(fragmen)m(tation)g(option)g(in)h
38710 Fm(Jetset/Pythia)f Fw(is)h(the)h(Lund)g(string)f(sc)m(heme,)j(but)e
38711 (in-)0 297 y(dep)s(enden)m(t)h(fragmen)m(tation)35 b(options)j(are)f
38712 (also)g(a)m(v)-5 b(ailable.)57 b(These)39 b(latter)e(options)g(should)h
38713 (not)f(b)s(e)0 405 y(tak)m(en)42 b(to)s(o)f(seriously)-8
38714 b(,)43 b(since)e(w)m(e)i(kno)m(w)f(that)f(indep)s(enden)m(t)h(fragmen)m
38715 (tation)e(do)s(es)h(not)g(pro)m(vide)h(a)0 514 y(consisten)m(t)47
38716 b(alternativ)m(e,)i(but)d(o)s(ccasionally)e(one)i(ma)m(y)g(lik)m(e)g
38717 (to)f(compare)h(string)f(fragmen)m(tation)0 622 y(with)32
38718 b(something)g(else.)146 730 y(The)e(subsequen)m(t)i(four)d(subsections)
38719 h(giv)m(e)f(further)g(details;)g(the)h(\014rst)f(one)g(on)g(\015a)m(v)m
38720 (our)h(selection,)0 839 y(whic)m(h)39 b(is)f(common)f(to)i(the)g(t)m(w)
38721 m(o)g(approac)m(hes,)i(the)f(second)f(on)g(string)f(fragmen)m(tation,)g
38722 (the)h(third)0 947 y(on)d(indep)s(enden)m(t)h(fragmen)m(tation,)e
38723 (while)f(the)j(fourth)e(and)h(\014nal)f(con)m(tains)h(information)d(on)
38724 i(a)h(few)0 1055 y(other)d(minor)e(issues.)146 1164 y(The)k(Lund)g
38725 (fragmen)m(tation)d(mo)s(del)g(is)h(describ)s(ed)i(in)e([And83],)i
38726 (where)g(all)d(the)i(basic)g(ideas)f(are)0 1272 y(presen)m(ted)39
38727 b(and)f(earlier)d(pap)s(ers)j([And79,)f(And80,)g(And82,)h(And82a)o(])g
38728 (summarized.)56 b(The)38 b(details)0 1380 y(giv)m(en)47
38729 b(there)h(on)e(ho)m(w)i(a)f(m)m(ultiparton)d(jet)j(system)h(is)e(allo)m
38730 (w)m(ed)g(to)h(fragmen)m(t)f(are)h(out)g(of)f(date,)0
38731 1489 y(ho)m(w)m(ev)m(er,)40 b(and)d(for)f(this)g(one)h(should)f(turn)h
38732 (to)f([Sj\177)-49 b(o84)o(].)56 b(Also)36 b(the)h(`p)s(op)s(corn')f
38733 (bary)m(on)h(pro)s(duction)0 1597 y(mec)m(hanism)31 b(is)h(not)f(co)m
38734 (v)m(ered,)k(see)e([And85].)43 b(Reviews)33 b(of)e(fragmen)m(tation)f
38735 (mo)s(dels)h(in)g(general)h(ma)m(y)0 1705 y(b)s(e)h(found)f(in)g
38736 ([Sj\177)-49 b(o88,)32 b(Sj\177)-49 b(o89].)0 1979 y
38737 Fp(12.1)136 b(Fla)l(v)l(our)45 b(Selection)0 2152 y Fw(In)37
38738 b(either)g(string)f(or)g(indep)s(enden)m(t)i(fragmen)m(tation,)e(an)h
38739 (iterativ)m(e)f(approac)m(h)h(is)f(used)i(to)f(describ)s(e)0
38740 2260 y(the)e(fragmen)m(tation)d(pro)s(cess.)50 b(Giv)m(en)34
38741 b(an)g(initial)d(quark)k(q)c(=)g(q)2406 2275 y Fl(0)2446
38742 2260 y Fw(,)j(it)g(is)f(assumed)i(that)f(a)g(new)i(q)3649
38743 2275 y Fl(1)p 3689 2207 52 4 v 3689 2260 a Fw(q)3740
38744 2284 y Fl(1)0 2369 y Fw(pair)e(ma)m(y)h(b)s(e)g(created,)i(suc)m(h)f
38745 (that)f(a)g(meson)g(q)1796 2384 y Fl(0)p 1836 2316 V
38746 1836 2369 a Fw(q)1887 2392 y Fl(1)1962 2369 y Fw(is)f(formed,)h(and)g
38747 (a)g(q)2747 2384 y Fl(1)2822 2369 y Fw(is)f(left)h(b)s(ehind.)50
38748 b(This)36 b(q)3740 2384 y Fl(1)0 2477 y Fw(ma)m(y)29
38749 b(at)f(a)h(later)f(stage)h(pair)f(o\013)h(with)f(a)p
38750 1499 2424 V 29 w(q)1550 2500 y Fl(2)1590 2477 y Fw(,)i(and)f(so)g(on.)
38751 42 b(What)29 b(need)h(b)s(e)f(giv)m(en)g(is)g(th)m(us)h(the)f(relativ)m
38752 (e)0 2595 y(probabilities)k(to)i(pro)s(duce)i(the)f(v)-5
38753 b(arious)35 b(p)s(ossible)g(q)1988 2610 y Fh(i)p 2016
38754 2542 V 2016 2595 a Fw(q)2068 2618 y Fh(i)2132 2595 y
38755 Fw(pairs,)h(u)p 2456 2542 55 4 v(u,)h(d)p 2628 2515 V(d,)g(s)p
38756 2784 2542 39 4 v(s,)g(etc.,)g(and)f(the)g(relativ)m(e)0
38757 2703 y(probilities)30 b(that)i(a)g(giv)m(en)h(q)1054
38758 2718 y Fh(i)p Fk(\000)p Fl(1)p 1173 2650 52 4 v 1173
38759 2703 a Fw(q)1224 2726 y Fh(i)1285 2703 y Fw(quark)g(pair)f(com)m
38760 (bination)e(forms)i(a)h(sp)s(eci\014c)g(meson,)f(e.g.)44
38761 b(for)32 b(u)p 3725 2650 55 4 v(u)0 2811 y(either)g Fj(\031)335
38762 2775 y Fl(+)394 2811 y Fw(,)h Fj(\032)504 2775 y Fl(+)596
38763 2811 y Fw(or)f(some)g(higher)h(state.)146 2920 y(In)c
38764 Fm(Jetset)p Fw(,)f(it)f(is)h(assumed)h(that)f(the)h(t)m(w)m(o)g(asp)s
38765 (ects)g(can)f(b)s(e)h(factorized,)g(i.e.)41 b(that)28
38766 b(it)f(is)h(p)s(ossible)0 3028 y(\014rst)42 b(to)g(select)g(a)g(q)756
38767 3043 y Fh(i)p 785 2975 52 4 v 785 3028 a Fw(q)836 3051
38768 y Fh(i)906 3028 y Fw(pair,)h(without)f(an)m(y)g(reference)i(to)d(allo)m
38769 (w)m(ed)g(ph)m(ysical)h(meson)g(states,)j(and)0 3136
38770 y(that,)40 b(once)f(the)h(q)700 3151 y Fh(i)p Fk(\000)p
38771 Fl(1)p 818 3083 V 818 3136 a Fw(q)870 3160 y Fh(i)937
38772 3136 y Fw(\015a)m(v)m(our)f(com)m(bination)e(is)h(giv)m(en,)i(it)e(can)
38773 h(b)s(e)g(assigned)g(to)f(a)h(giv)m(en)f(meson)0 3245
38774 y(state)33 b(with)f(total)f(probabilit)m(y)g(unit)m(y)-8
38775 b(.)0 3492 y Fo(12.1.1)113 b(Quark)38 b(\015a)m(v)m(ours)g(and)g
38776 (transv)m(erse)g(momen)m(ta)0 3665 y Fw(In)j(order)f(to)g(generate)h
38777 (the)f(quark{an)m(tiquark)h(pairs)f(q)2132 3680 y Fh(i)p
38778 2161 3612 V 2161 3665 a Fw(q)2212 3689 y Fh(i)2280 3665
38779 y Fw(whic)m(h)h(lead)f(to)g(string)f(breakups,)44 b(the)0
38780 3773 y(Lund)33 b(mo)s(del)d(in)m(v)m(ok)m(es)k(the)f(idea)e(of)h(quan)m
38781 (tum)h(mec)m(hanical)e(tunnelling,)f(as)j(follo)m(ws.)42
38782 b(If)32 b(the)h(q)3562 3788 y Fh(i)3622 3773 y Fw(and)p
38783 0 3829 V 0 3882 a(q)51 3905 y Fh(i)106 3882 y Fw(ha)m(v)m(e)28
38784 b(no)f(\(common\))e(mass)i(or)f(transv)m(erse)j(momen)m(tum,)e(the)g
38785 (pair)f(can)h(classically)d(b)s(e)j(created)h(at)0 3990
38786 y(one)e(p)s(oin)m(t)f(and)h(then)g(b)s(e)g(pulled)f(apart)h(b)m(y)g
38787 (the)h(\014eld.)41 b(If)26 b(the)g(quarks)h(ha)m(v)m(e)g(mass)f(and/or)
38788 f(transv)m(erse)0 4098 y(momen)m(tum,)32 b(ho)m(w)m(ev)m(er,)k(the)e(q)
38789 1162 4113 y Fh(i)1224 4098 y Fw(and)p 1414 4046 V 33
38790 w(q)1466 4122 y Fh(i)1527 4098 y Fw(m)m(ust)g(classically)d(b)s(e)j
38791 (pro)s(duced)g(at)f(a)g(certain)g(distance)g(so)0 4207
38792 y(that)28 b(the)g(\014eld)g(energy)h(b)s(et)m(w)m(een)h(them)d(can)h(b)
38793 s(e)g(transformed)g(in)m(to)f(the)h(sum)g(of)f(the)i(t)m(w)m(o)f
38794 (transv)m(erse)0 4315 y(masses)f Fj(m)400 4330 y Fk(?)459
38795 4315 y Fw(.)41 b(Quan)m(tum)26 b(mec)m(hanically)-8 b(,)25
38796 b(the)i(quarks)g(ma)m(y)f(b)s(e)g(created)h(in)e(one)h(p)s(oin)m(t)f
38797 (\(so)h(as)g(to)g(k)m(eep)0 4423 y(the)37 b(concept)g(of)f(lo)s(cal)d
38798 (\015a)m(v)m(our)k(conserv)-5 b(ation\))36 b(and)h(then)g(tunnel)f(out)
38799 g(to)f(the)i(classically)d(allo)m(w)m(ed)0 4532 y(region.)61
38800 b(In)39 b(terms)f(of)g(a)h(common)e(transv)m(erse)k(mass)d
38801 Fj(m)2153 4547 y Fk(?)2251 4532 y Fw(of)g(the)h(q)2593
38802 4547 y Fh(i)2661 4532 y Fw(and)f(the)p 3031 4479 V 40
38803 w(q)3082 4555 y Fh(i)3110 4532 y Fw(,)i(the)f(tunnelling)0
38804 4640 y(probabilit)m(y)31 b(is)h(giv)m(en)g(b)m(y)909
38805 4917 y(exp)1075 4771 y Fg( )1140 4917 y Fn(\000)1227
38806 4849 y Fj(\031)t(m)1371 4813 y Fl(2)1371 4874 y Fk(?)p
38807 1227 4894 204 4 v 1301 4985 a Fj(\024)1441 4771 y Fg(!)1535
38808 4917 y Fw(=)27 b(exp)1804 4771 y Fg( )1869 4917 y Fn(\000)1956
38809 4849 y Fj(\031)t(m)2100 4813 y Fl(2)p 1956 4894 184 4
38810 v 2021 4985 a Fj(\024)2151 4771 y Fg(!)2233 4917 y Fw(exp)2398
38811 4771 y Fg( )2464 4917 y Fn(\000)2551 4849 y Fj(\031)t(p)2659
38812 4813 y Fl(2)2659 4874 y Fk(?)p 2551 4894 167 4 v 2607
38813 4985 a Fj(\024)2729 4771 y Fg(!)2843 4917 y Fj(:)687
38814 b Fw(\(175\))146 5194 y(The)32 b(factorization)d(of)h(the)h(transv)m
38815 (erse)i(momen)m(tum)d(and)h(the)g(mass)g(terms)f(leads)h(to)g(a)f
38816 (\015a)m(v)m(our-)0 5302 y(indep)s(enden)m(t)42 b(Gaussian)e(sp)s
38817 (ectrum)h(for)f(the)h Fj(p)1804 5317 y Fh(x)1888 5302
38818 y Fw(and)g Fj(p)2135 5317 y Fh(y)2217 5302 y Fw(comp)s(onen)m(ts)g(of)f
38819 (q)2932 5317 y Fh(i)p 2960 5249 52 4 v 2960 5302 a Fw(q)3012
38820 5325 y Fh(i)3080 5302 y Fw(pairs.)67 b(Since)41 b(the)0
38821 5410 y(string)23 b(is)h(assumed)g(to)g(ha)m(v)m(e)h(no)f(transv)m(erse)
38822 i(excitations,)f(this)f Fj(p)2389 5425 y Fk(?)2471 5410
38823 y Fw(is)g(lo)s(cally)d(comp)s(ensated)j(b)s(et)m(w)m(een)0
38824 5519 y(the)32 b(quark)h(and)f(the)g(an)m(tiquark)g(of)g(the)g(pair.)42
38825 b(The)33 b Fj(p)2005 5534 y Fk(?)2096 5519 y Fw(of)e(a)h(meson)g(q)2636
38826 5534 y Fh(i)p Fk(\000)p Fl(1)p 2754 5466 V 2754 5519
38827 a Fw(q)2806 5542 y Fh(i)2866 5519 y Fw(is)f(giv)m(en)h(b)m(y)h(the)f(v)
38828 m(ector)0 5627 y(sum)c(of)f(the)i Fj(p)521 5642 y Fk(?)580
38829 5627 y Fw(:s)f(of)g(the)g(q)994 5642 y Fh(i)p Fk(\000)p
38830 Fl(1)1141 5627 y Fw(and)p 1326 5574 V 28 w(q)1377 5651
38831 y Fh(i)1433 5627 y Fw(constituen)m(ts,)j(whic)m(h)d(implies)e
38832 (Gaussians)i(in)f Fj(p)3215 5642 y Fh(x)3286 5627 y Fw(and)i
38833 Fj(p)3521 5642 y Fh(y)3590 5627 y Fw(with)1817 5953 y(229)p
38834 eop
38835 %%Page: 230 236
38836 230 235 bop 0 -18 a Fw(a)33 b(width)359 -100 y Fn(p)p
38837 442 -100 49 4 v 82 x Fw(2)g(that)g(of)g(the)h(quarks)g(themselv)m(es.)
38838 47 b(The)34 b(assumption)f(of)g(a)g(Gaussian)f(shap)s(e)i(ma)m(y)f(b)s
38839 (e)0 90 y(a)h(go)s(o)s(d)f(\014rst)h(appro)m(ximation,)f(but)h(there)h
38840 (remains)e(the)i(p)s(ossibilit)m(y)d(of)h(non-Gaussian)h(tails,)f(that)
38841 0 198 y(can)g(b)s(e)g(imp)s(ortan)m(t)d(in)i(some)g(situations.)146
38842 307 y(In)24 b(a)e(p)s(erturbativ)m(e)i(QCD)f(framew)m(ork,)i(a)e(hard)g
38843 (scattering)f(is)h(asso)s(ciated)g(with)g(gluon)f(radiation,)0
38844 415 y(and)40 b(further)g(con)m(tributions)f(to)h(what)g(is)g(na)-11
38845 b(\177)-38 b(\020v)m(ely)39 b(called)g(fragmen)m(tation)f
38846 Fj(p)2926 430 y Fk(?)3025 415 y Fw(comes)i(from)e(unre-)0
38847 523 y(solv)m(ed)c(radiation.)43 b(This)33 b(is)f(used)j(as)e(an)g
38848 (explanation)f(wh)m(y)i(the)g(exp)s(erimen)m(tal)e Fn(h)p
38849 Fj(p)3127 538 y Fk(?)3186 523 y Fn(i)h Fw(is)f(somewhat)0
38850 632 y(higher)g(than)h(obtained)f(with)g(the)h(form)m(ula)e(ab)s(o)m(v)m
38851 (e.)146 740 y(The)45 b(form)m(ula)c(also)h(implies)f(a)i(suppression)i
38852 (of)e(hea)m(vy)i(quark)f(pro)s(duction)f Fj(u)i Fw(:)h
38853 Fj(d)g Fw(:)g Fj(s)g Fw(:)g Fj(c)g Fn(\031)0 848 y Fw(1)27
38854 b(:)h(1)g(:)f(0)p Fj(:)p Fw(3)h(:)g(10)568 812 y Fk(\000)p
38855 Fl(11)697 848 y Fw(.)41 b(Charm)24 b(and)h(hea)m(vier)h(quarks)g(are)f
38856 (hence)h(not)f(exp)s(ected)i(to)e(b)s(e)g(pro)s(duced)h(in)e(the)0
38857 957 y(soft)j(fragmen)m(tation.)40 b(Since)28 b(the)f(predicted)h(\015a)
38858 m(v)m(our)g(suppressions)h(are)f(in)e(terms)i(of)e(quark)j(masses,)0
38859 1065 y(whic)m(h)36 b(are)g(notoriously)e(di\016cult)h(to)g(assign)g
38860 (\(should)g(it)g(b)s(e)h(curren)m(t)g(algebra,)g(or)f(constituen)m(t,)i
38861 (or)0 1173 y(ma)m(yb)s(e)26 b(something)e(in)h(b)s(et)m(w)m(een?\),)k
38862 (the)d(suppression)h(of)e(s)p 2171 1120 39 4 v(s)h(pro)s(duction)f(is)g
38863 (left)g(as)h(a)f(free)h(parameter)0 1292 y(in)g(the)h(program:)39
38864 b(u)p 749 1239 55 4 v(u)27 b(:)40 b(d)p 951 1213 V(d)27
38865 b(:)41 b(s)p 1138 1239 39 4 v(s)27 b(=)g(1)f(:)40 b(1)27
38866 b(:)40 b Fj(\015)1642 1307 y Fh(s)1679 1292 y Fw(,)27
38867 b(where)h(b)m(y)g(default)e Fj(\015)2512 1307 y Fh(s)2576
38868 1292 y Fw(=)h(0)p Fj(:)p Fw(3.)41 b(A)m(t)27 b(least)f(qualitativ)m
38869 (ely)-8 b(,)0 1401 y(the)31 b(exp)s(erimen)m(tal)f(v)-5
38870 b(alue)30 b(agrees)h(with)g(theoretical)e(prejudice.)43
38871 b(There)32 b(is)e(no)h(pro)s(duction)f(at)g(all)f(of)0
38872 1509 y(hea)m(vier)k(\015a)m(v)m(ours)h(in)e(the)h(fragmen)m(tation)d
38873 (pro)s(cess,)k(but)f(only)f(as)h(part)f(of)g(the)h(sho)m(w)m(er)i(ev)m
38874 (olution.)0 1757 y Fo(12.1.2)113 b(Meson)38 b(pro)s(duction)0
38875 1929 y Fw(Once)e(the)g(\015a)m(v)m(ours)h(q)838 1944
38876 y Fh(i)p Fk(\000)p Fl(1)992 1929 y Fw(and)p 1184 1877
38877 52 4 v 35 w(q)1236 1953 y Fh(i)1299 1929 y Fw(ha)m(v)m(e)g(b)s(een)f
38878 (selected,)h(a)e(c)m(hoice)h(is)f(made)g(b)s(et)m(w)m(een)i(the)f(p)s
38879 (ossible)0 2038 y(m)m(ultiplets.)42 b(The)34 b(relativ)m(e)e(comp)s
38880 (osition)e(of)i(di\013eren)m(t)h(m)m(ultiplets)e(is)h(not)h(giv)m(en)f
38881 (from)g(\014rst)h(princi-)0 2146 y(ples,)26 b(but)e(m)m(ust)g(dep)s
38882 (end)h(on)e(the)h(details)f(of)g(the)i(fragmen)m(tation)c(pro)s(cess.)
38883 42 b(T)-8 b(o)24 b(some)g(appro)m(ximation)0 2254 y(one)37
38884 b(w)m(ould)f(exp)s(ect)i(a)e(negligible)d(fraction)j(of)f(states)j
38885 (with)e(radial)e(excitations)i(or)g(non-v)-5 b(anishing)0
38886 2363 y(orbital)34 b(angular)h(momen)m(tum.)53 b(Spin)35
38887 b(coun)m(ting)h(argumen)m(ts)h(w)m(ould)f(then)h(suggest)g(a)e(3:1)h
38888 (mixture)0 2471 y(b)s(et)m(w)m(een)i(the)f(lo)m(w)m(est)g(lying)e(v)m
38889 (ector)i(and)g(pseudoscalar)g(m)m(ultiplets.)52 b(W)-8
38890 b(a)m(v)m(e)38 b(function)e(o)m(v)m(erlap)g(ar-)0 2579
38891 y(gumen)m(ts)d(lead)f(to)h(a)f(relativ)m(e)g(enhancemen)m(t)i(of)e(the)
38892 h(ligh)m(ter)f(pseudoscalar)h(states,)h(whic)m(h)f(is)f(more)0
38893 2688 y(pronounced)i(the)f(larger)e(the)i(mass)g(splitting)d(is)i
38894 ([And82a].)146 2796 y(In)g(the)g(program,)e(six)i(meson)f(m)m
38895 (ultiplets)e(are)j(included.)43 b(If)31 b(the)h(nonrelativistic)d
38896 (classi\014cation)0 2904 y(sc)m(heme)38 b(is)f(used,)i(i.e.)56
38897 b(mesons)38 b(are)f(assigned)g(a)g(v)-5 b(alence)37 b(quark)g(spin)g
38898 Fj(S)43 b Fw(and)37 b(an)g(in)m(ternal)f(orbital)0 3013
38899 y(angular)27 b(momen)m(tum)g Fj(L)p Fw(,)j(with)e(the)h(ph)m(ysical)g
38900 (spin)f Fj(s)h Fw(denoted)g Fj(J)9 b Fw(,)30 b Fo(J)d
38901 Fw(=)h Fo(L)14 b Fw(+)g Fo(S)p Fw(,)29 b(then)h(the)f(m)m(ultiplets)0
38902 3121 y(are:)145 3234 y Fn(\017)49 b Fj(L)28 b Fw(=)f(0,)33
38903 b Fj(S)g Fw(=)28 b(0,)k Fj(J)37 b Fw(=)28 b(0:)43 b(the)33
38904 b(ordinary)f(pseudoscalar)h(meson)f(m)m(ultiplet;)145
38905 3352 y Fn(\017)49 b Fj(L)28 b Fw(=)f(0,)33 b Fj(S)g Fw(=)28
38906 b(1,)k Fj(J)37 b Fw(=)28 b(1:)43 b(the)33 b(ordinary)f(v)m(ector)h
38907 (meson)g(m)m(ultiplet;)145 3470 y Fn(\017)49 b Fj(L)28
38908 b Fw(=)f(1,)33 b Fj(S)g Fw(=)28 b(0,)k Fj(J)37 b Fw(=)28
38909 b(1:)43 b(an)32 b(axial)f(v)m(ector)j(meson)e(m)m(ultiplet;)145
38910 3588 y Fn(\017)49 b Fj(L)28 b Fw(=)f(1,)33 b Fj(S)g Fw(=)28
38911 b(1,)k Fj(J)37 b Fw(=)28 b(0:)43 b(the)33 b(scalar)f(meson)g(m)m
38912 (ultiplet;)145 3705 y Fn(\017)49 b Fj(L)28 b Fw(=)f(1,)33
38913 b Fj(S)g Fw(=)28 b(1,)k Fj(J)37 b Fw(=)28 b(1:)43 b(another)33
38914 b(axial)d(v)m(ector)k(meson)f(m)m(ultiplet;)d(and)145
38915 3823 y Fn(\017)49 b Fj(L)28 b Fw(=)f(1,)33 b Fj(S)g Fw(=)28
38916 b(1,)k Fj(J)37 b Fw(=)28 b(2:)43 b(the)33 b(tensor)g(meson)g(m)m
38917 (ultiplet.)0 3936 y(Eac)m(h)f(m)m(ultiplet)c(has)j(the)g(full)d
38918 (four-generation)i(setup)h(of)f(8)18 b Fn(\002)h Fw(8)30
38919 b(states)i(included)e(in)g(the)h(program,)0 4045 y(although)h(man)m(y)h
38920 (could)g(nev)m(er)i(actually)d(b)s(e)i(pro)s(duced.)46
38921 b(Some)33 b(simpli\014cations)d(ha)m(v)m(e)35 b(b)s(een)f(made;)0
38922 4153 y(th)m(us)g(there)f(is)f(no)g(mixing)f(included)h(b)s(et)m(w)m
38923 (een)j(the)e(t)m(w)m(o)g(axial)e(v)m(ector)i(m)m(ultiplets.)146
38924 4261 y(In)28 b(the)h(program,)e(the)i(spin)e Fj(S)34
38925 b Fw(is)27 b(\014rst)i(c)m(hosen)g(to)e(b)s(e)i(either)e(0)h(or)f(1.)42
38926 b(This)28 b(is)f(done)i(according)e(to)0 4370 y(parametrized)h(relativ)
38927 m(e)h(probabilities,)e(where)k(the)e(probabilit)m(y)e(for)i(spin)g(1)g
38928 (b)m(y)h(default)f(is)g(tak)m(en)h(to)0 4478 y(b)s(e)i(0.5)g(for)f(a)h
38929 (meson)g(consisting)f(only)g(of)h(u)g(and)g(d)g(quark,)h(0.6)f(for)f
38930 (one)h(whic)m(h)h(con)m(tains)f(s)g(as)g(w)m(ell,)0 4586
38931 y(and)h(0)p Fj(:)p Fw(75)f(for)g(quarks)i(with)e(c)h(or)f(hea)m(vier)h
38932 (quark,)g(in)f(accordance)i(with)e(the)h(delib)s(erations)e(ab)s(o)m(v)
38933 m(e.)146 4695 y(By)j(default,)g(it)e(is)i(assumed)g(that)f
38934 Fj(L)d Fw(=)g(0,)k(suc)m(h)h(that)e(only)g(pseudoscalar)h(and)g(v)m
38935 (ector)h(mesons)0 4803 y(are)k(pro)s(duced.)64 b(F)-8
38936 b(or)39 b(inclusion)e(of)i Fj(L)g Fw(=)g(1)g(pro)s(duction,)h(four)f
38937 (parameters)g(can)g(b)s(e)g(used,)j(one)e(to)0 4911 y(giv)m(e)31
38938 b(the)g(probabilit)m(y)d(that)j(a)f Fj(S)k Fw(=)27 b(0)k(state)g(also)e
38939 (has)i Fj(L)e Fw(=)e(1,)k(the)g(other)g(three)g(for)f(the)h(probabilit)
38940 m(y)0 5020 y(that)h(a)h Fj(S)g Fw(=)28 b(1)k(state)h(has)g
38941 Fj(L)28 b Fw(=)g(1)k(and)g Fj(J)42 b Fw(either)33 b(0,)f(1,)g(or)h(2.)
38942 146 5128 y(F)-8 b(or)40 b(the)i(\015a)m(v)m(our-diagonal)d(meson)i
38943 (states)g(u)p 1873 5075 55 4 v(u)q(,)i(d)p 2052 5049
38944 V(d)e(and)g(s)p 2383 5075 39 4 v(s)q(,)i(it)d(is)g(also)g(necessary)j
38945 (to)e(include)0 5236 y(mixing)33 b(in)m(to)h(the)i(ph)m(ysical)e
38946 (mesons.)52 b(This)35 b(is)f(done)i(according)e(to)h(a)g
38947 (parametrization,)e(based)j(on)0 5345 y(the)d(mixing)e(angles)h(giv)m
38948 (en)h(in)f(the)h(Review)g(of)f(P)m(article)g(Prop)s(erties)h([PDG88)o
38949 (].)44 b(In)33 b(particular,)e(the)1817 5953 y(230)p
38950 eop
38951 %%Page: 231 237
38952 231 236 bop 0 -18 a Fw(default)32 b(c)m(hoices)h(corresp)s(ond)h(to)
38953 1301 240 y Fj(\021)86 b Fw(=)1604 173 y(1)p 1604 217
38954 49 4 v 1604 309 a(2)1663 240 y(\(u)p 1755 188 55 4 v(u)22
38955 b(+)g(d)p 1983 161 V(d)q(\))g Fn(\000)2249 173 y Fw(1)p
38956 2207 217 132 4 v 2207 235 a Fn(p)p 2290 235 49 4 v 82
38957 x Fw(2)2349 240 y(s)p 2387 188 39 4 v(s)34 b(;)1277 496
38958 y Fj(\021)1329 454 y Fk(0)1435 496 y Fw(=)1604 428 y(1)p
38959 1604 472 49 4 v 1604 564 a(2)1663 496 y(\(u)p 1755 443
38960 55 4 v(u)22 b(+)g(d)p 1983 416 V(d)q(\))g(+)2247 428
38961 y(1)p 2206 472 132 4 v 2206 490 a Fn(p)p 2289 490 49
38962 4 v 82 x Fw(2)2348 496 y(s)p 2386 443 39 4 v(s)33 b(;)1288
38963 751 y Fj(!)86 b Fw(=)1646 683 y(1)p 1604 727 132 4 v
38964 1604 745 a Fn(p)p 1687 745 49 4 v 82 x Fw(2)1746 751
38965 y(\(u)p 1838 698 55 4 v(u)22 b(+)g(d)p 2066 672 V(d)q(\))1294
38966 949 y Fj(\036)83 b Fw(=)g(s)p 1632 896 39 4 v(s)34 b
38967 Fj(:)1826 b Fw(\(176\))0 1157 y(In)38 b(the)g Fj(\031)359
38968 1121 y Fl(0)424 1157 y Fn(\000)26 b Fj(\021)k Fn(\000)c
38969 Fj(\021)760 1121 y Fk(0)820 1157 y Fw(system,)41 b(no)c(accoun)m(t)i
38970 (is)e(therefore)h(tak)m(en)h(of)e(the)h(di\013erence)h(in)e(masses,)j
38971 (an)0 1265 y(appro)m(ximation)i(whic)m(h)i(seems)h(to)e(lead)g(to)g(an)
38972 h(o)m(v)m(erestimate)g(of)g Fj(\021)2618 1229 y Fk(0)2684
38973 1265 y Fw(rates)g([ALE92)q(].)77 b(Recen)m(tly)-8 b(,)0
38974 1374 y(parameters)28 b(ha)m(v)m(e)h(b)s(een)g(in)m(tro)s(duced)f(to)g
38975 (allo)m(w)e(an)i(additional)d(`brute)k(force')f(suppression)h(of)f
38976 Fj(\021)j Fw(and)0 1482 y Fj(\021)52 1446 y Fk(0)108
38977 1482 y Fw(states.)0 1730 y Fo(12.1.3)113 b(Bary)m(on)37
38978 b(pro)s(duction)0 1902 y Fw(Bary)m(on)g(pro)s(duction)e(ma)m(y)-8
38979 b(,)37 b(in)e(its)g(simplest)g(form,)h(b)s(e)g(obtained)g(b)m(y)h
38980 (assuming)e(that)h(an)m(y)h(\015a)m(v)m(our)0 2011 y(q)51
38981 2026 y Fh(i)114 2011 y Fw(giv)m(en)d(ab)s(o)m(v)m(e)h(could)f(represen)
38982 m(t)i(either)e(a)g(quark)h(or)f(an)g(an)m(tidiquark)g(in)f(a)h(colour)f
38983 (triplet)g(state.)0 2119 y(Then)44 b(the)g(same)f(basic)g(mac)m(hinery)
38984 g(can)h(b)s(e)f(run)h(through)f(as)g(ab)s(o)m(v)m(e,)k(supplemen)m(ted)
38985 d(with)f(the)0 2227 y(probabilit)m(y)26 b(to)i(pro)s(duce)g(v)-5
38986 b(arious)27 b(diquark)h(pairs.)42 b(In)28 b(principle,)f(there)i(is)f
38987 (one)g(parameter)f(for)h(eac)m(h)0 2336 y(diquark,)35
38988 b(but)g(if)e(tunnelling)g(is)g(still)g(assumed)i(to)f(giv)m(e)g(an)g
38989 (e\013ectiv)m(e)i(description,)e(mass)h(relations)0 2444
38990 y(can)42 b(b)s(e)f(used)i(to)e(reduce)i(the)f(e\013ectiv)m(e)g(n)m(um)m
38991 (b)s(er)g(of)f(parameters.)70 b(There)42 b(are)g(three)g(main)e(ones)0
38992 2552 y(app)s(earing)32 b(in)f(the)i(program:)145 2666
38993 y Fn(\017)49 b Fw(the)33 b(relativ)m(e)f(probabilit)m(y)e(to)j(pic)m(k)
38994 f(a)p 1664 2613 52 4 v 33 w(q)p 1715 2613 V(q)h(diquark)g(rather)g
38995 (than)f(a)g(q;)145 2783 y Fn(\017)49 b Fw(the)40 b(extra)g(suppression)
38996 i(asso)s(ciated)d(with)h(a)f(diquark)h(con)m(taining)f(a)h(strange)g
38997 (quark)g(\(o)m(v)m(er)244 2892 y(and)33 b(ab)s(o)m(v)m(e)g(the)g
38998 (ordinary)f(s)p Fj(=)p Fw(u)h(suppression)h(factor)e
38999 Fj(\015)2297 2907 y Fh(s)2333 2892 y Fw(\);)h(and)145
39000 3009 y Fn(\017)49 b Fw(the)35 b(suppression)g(of)f(spin)g(1)g(diquarks)
39001 h(relativ)m(e)f(to)f(spin)i(0)f(ones)h(\(apart)e(from)g(the)i(factor)f
39002 (of)244 3118 y(3)e(enhancemen)m(t)i(of)e(the)h(former)f(based)h(on)g
39003 (coun)m(ting)f(the)h(n)m(um)m(b)s(er)g(of)f(spin)h(states\).)0
39004 3231 y(The)47 b(extra)g(strange)g(diquark)g(suppression)g(factor)f
39005 (comes)h(ab)s(out)f(since)h(what)g(app)s(ears)f(in)g(the)0
39006 3339 y(exp)s(onen)m(t)32 b(of)f(the)g(tunnelling)e(form)m(ula)g(is)i
39007 Fj(m)1691 3303 y Fl(2)1762 3339 y Fw(and)g(not)g Fj(m)p
39008 Fw(,)g(so)g(that)g(the)h(diquark)f(and)g(the)g(strange)0
39009 3448 y(quark)i(suppressions)i(do)d(not)h(factorize.)146
39010 3556 y(Only)h(t)m(w)m(o)h(bary)m(on)g(m)m(ultiplets)d(are)i(included,)g
39011 (i.e.)48 b(there)35 b(are)f(no)g Fj(L)d Fw(=)f(1)k(excited)h(states.)50
39012 b(The)0 3664 y(t)m(w)m(o)33 b(m)m(ultiplets)e(are:)145
39013 3777 y Fn(\017)49 b Fj(S)35 b Fw(=)29 b Fj(J)38 b Fw(=)29
39014 b(1)p Fj(=)p Fw(2:)45 b(the)34 b(`o)s(ctet')f(m)m(ultiplet)e(of)i
39015 (SU\(3\))h(\(in)e(the)i(full)e(four-generation)g(scenario)h(in)244
39016 3886 y(the)g(program)e(168)h(states)h(are)g(a)m(v)-5
39017 b(ailable\);)145 4003 y Fn(\017)49 b Fj(S)33 b Fw(=)28
39018 b Fj(J)37 b Fw(=)27 b(3)p Fj(=)p Fw(2:)43 b(the)33 b(`decuplet')g(m)m
39019 (ultiplet)d(of)j(SU\(3\))f(\(120)g(states)h(in)f(the)h(program\).)0
39020 4116 y(In)39 b(con)m(trast)h(to)e(the)i(meson)f(case,)i(di\013eren)m(t)
39021 f(\015a)m(v)m(our)f(com)m(binations)f(ha)m(v)m(e)i(di\013eren)m(t)f(n)m
39022 (um)m(b)s(ers)h(of)0 4225 y(states)33 b(a)m(v)-5 b(ailable:)41
39023 b(for)32 b(uuu)i(only)e(\001)1356 4189 y Fl(++)1470 4225
39024 y Fw(,)g(whereas)j(uds)e(ma)m(y)f(b)s(ecome)h(either)f(\003,)h(\006)
39025 3113 4189 y Fl(0)3185 4225 y Fw(or)f(\006)3374 4189 y
39026 Fk(\003)p Fl(0)3449 4225 y Fw(.)146 4333 y(An)41 b(imp)s(ortan)m(t)e
39027 (constrain)m(t)h(is)g(that)g(a)h(bary)m(on)g(is)f(a)g(symmetric)f
39028 (state)i(of)f(three)i(quarks,)h(ne-)0 4442 y(glecting)36
39029 b(the)j(colour)e(degree)i(of)e(freedom.)60 b(When)39
39030 b(a)e(diquark)h(and)g(a)g(quark)h(are)f(joined)f(to)h(form)0
39031 4550 y(a)j(bary)m(on,)i(the)f(com)m(bination)c(is)j(therefore)g(w)m
39032 (eigh)m(ted)h(with)e(the)i(probabilit)m(y)d(that)h(they)i(form)e(a)0
39033 4658 y(symmetric)h(three-quark)j(state.)73 b(The)43 b(program)e
39034 (implemen)m(tation)f(of)h(this)h(principle)f(is)h(to)g(\014rst)0
39035 4767 y(select)f(a)f(diquark)g(at)g(random,)i(with)e(the)h(strangeness)h
39036 (and)e(spin)h(1)f(suppression)h(factors)g(ab)s(o)m(v)m(e)0
39037 4875 y(included,)31 b(but)f(then)h(to)f(accept)h(the)g(selected)g
39038 (diquark)g(with)f(a)g(w)m(eigh)m(t)h(prop)s(ortional)c(to)j(the)h(n)m
39039 (um-)0 4983 y(b)s(er)36 b(of)g(states)g(a)m(v)-5 b(ailable)34
39040 b(for)h(the)i(quark-diquark)f(com)m(bination.)52 b(This)36
39041 b(means)g(that,)g(w)m(ere)i(it)d(not)0 5092 y(for)d(the)h(tunnelling)d
39042 (suppression)k(factors,)e(all)e(states)k(in)d(the)i Fo(SU\(6\))f
39043 Fw(\(\015a)m(v)m(our)h Fo(SU\(3\))f Fw(times)g(spin)0
39044 5200 y Fo(SU\(2\))p Fw(\))41 b(56-m)m(ultiplet)c(w)m(ould)k(b)s(ecome)g
39045 (equally)g(p)s(opulated.)68 b(Of)41 b(course)h(also)e(hea)m(vier)h
39046 (bary)m(ons)0 5308 y(ma)m(y)g(come)f(from)g(the)h(fragmen)m(tation)e
39047 (of)h(e.g.)69 b(c)41 b(quark)g(jets,)j(but)d(although)f(the)h(particle)
39048 e(clas-)0 5417 y(si\014cation)i(sc)m(heme)i(used)g(in)e(the)h(program)f
39049 (is)g Fo(SU\(16\))p Fw(,)j(i.e.)71 b(with)41 b(eigh)m(t)h(\015a)m(v)m
39050 (ours,)j(all)40 b(p)s(ossible)0 5525 y(quark-diquark)31
39051 b(com)m(binations)d(can)j(b)s(e)f(related)g(to)g Fo(SU\(6\))g
39052 Fw(b)m(y)h(symmetry)g(argumen)m(ts.)43 b(As)31 b(in)e(the)0
39053 5633 y(case)i(for)e(mesons,)i(one)f(could)f(imagine)e(an)j(explicit)e
39054 (further)i(suppression)h(of)e(the)h(hea)m(vier)h(spin)e(3/2)1817
39055 5953 y(231)p eop
39056 %%Page: 232 238
39057 232 237 bop 0 -18 a Fw(bary)m(ons.)45 b(W)-8 b(e)34 b(do)e(not)h(exp)s
39058 (ect)h(it)e(to)g(b)s(e)h(an)g(imp)s(ortan)m(t)e(e\013ect,)j(since)f
39059 (bary)m(on)h(mass)e(splittings)f(are)0 90 y(m)m(uc)m(h)i(smaller)e
39060 (than)h(in)g(the)h(meson)g(case.)146 198 y(In)k(case)g(of)f(rejection,)
39061 h(a)f(new)h(diquark)g(is)f(selected)h(and)g(tested,)h(etc.)55
39062 b(A)37 b(corresp)s(onding)f(pro-)0 307 y(cedure)43 b(is)f(used)h(for)e
39063 (the)i(quark)g(selection)e(when)i(a)f(diquark)g(has)g(already)g(b)s
39064 (een)h(formed)e(in)g(the)0 415 y(previous)34 b(step.)47
39065 b(Prop)s(erly)33 b(sp)s(eaking)g(b)s(oth)g(the)h(quark)g(and)g(the)g
39066 (diquark)f(\015a)m(v)m(our)i(should)e(b)s(e)g(c)m(ho-)0
39067 523 y(sen)38 b(anew.)58 b(This)37 b(w)m(ould)g(b)s(ecome)h(a)e(tedious)
39068 i(pro)s(cess,)h(since)f(also)e(the)i(hadron)f(pro)s(duced)h(in)e(the)0
39069 632 y(step)j(b)s(efore)f(w)m(ould)g(ha)m(v)m(e)h(to)f(b)s(e)g
39070 (rejected.)61 b(In)38 b(practice)g(only)g(the)g(last)f(pro)s(duced)i
39071 (pair,)g(b)s(e)f(that)0 740 y(the)33 b(quark)g(or)g(diquark)f(one,)h
39072 (is)f(rejected.)45 b(The)34 b(error)e(in)m(tro)s(duced)h(b)m(y)g(this)g
39073 (is)f(small.)146 848 y(A)45 b(more)f(general)f(framew)m(ork)i(for)f
39074 (bary)m(on)h(pro)s(duction)f(is)g(the)g(`p)s(op)s(corn')h(one)g
39075 ([And85],)i(in)0 957 y(whic)m(h)26 b(diquarks)h(as)f(suc)m(h)h(are)f
39076 (nev)m(er)i(pro)s(duced,)g(but)e(rather)g(bary)m(ons)h(app)s(ear)f
39077 (from)e(the)j(successiv)m(e)0 1065 y(pro)s(duction)k(of)h(sev)m(eral)g
39078 (q)976 1080 y Fh(i)p 1005 1012 52 4 v 1005 1065 a Fw(q)1056
39079 1088 y Fh(i)1117 1065 y Fw(pairs.)42 b(The)33 b(picture)f(is)g(the)g
39080 (follo)m(wing.)41 b(Assume)32 b(that)g(the)g(original)d(q)0
39081 1173 y(is)j(red)h Fj(r)i Fw(and)e(the)p 703 1120 V 33
39082 w(q)g(is)p 885 1120 47 4 v 32 w Fj(r)s Fw(.)43 b(Normally)31
39083 b(a)h(new)h(q)1763 1188 y Fl(1)p 1803 1120 52 4 v 1803
39084 1173 a Fw(q)1855 1197 y Fl(1)1927 1173 y Fw(pair)e(pro)s(duced)j(in)e
39085 (the)h(\014eld)f(w)m(ould)h(also)e(b)s(e)i Fj(r)p 3706
39086 1120 47 4 v 3 w(r)r Fw(,)0 1282 y(so)e(that)g(the)p 494
39087 1229 52 4 v 31 w(q)545 1305 y Fl(1)616 1282 y Fw(is)f(pulled)g(to)m(w)m
39088 (ards)i(the)f(q)h(end)f(and)g(vice)g(v)m(ersa,)i(and)e(t)m(w)m(o)g
39089 (separate)h(colour-singlet)0 1390 y(systems)h(q)p 412
39090 1337 V(q)464 1413 y Fl(1)536 1390 y Fw(and)f(q)776 1405
39091 y Fl(1)p 816 1337 V 816 1390 a Fw(q)g(are)g(formed.)43
39092 b(Occasionally)-8 b(,)30 b(the)j(q)2231 1405 y Fl(1)p
39093 2271 1337 V 2271 1390 a Fw(q)2322 1413 y Fl(1)2394 1390
39094 y Fw(pair)e(ma)m(y)h(b)s(e)g(e.g.)43 b Fj(g)p 3177 1337
39095 51 4 v 4 w(g)35 b Fw(\()p Fj(g)g Fw(=)d(green\),)0 1498
39096 y(in)h(whic)m(h)h(case)g(there)g(is)f(no)h(net)f(colour)g(c)m(harge)h
39097 (acting)f(on)g(either)g(q)2615 1513 y Fl(1)2689 1498
39098 y Fw(or)p 2809 1445 52 4 v 33 w(q)2860 1522 y Fl(1)2900
39099 1498 y Fw(.)46 b(Therefore,)35 b(the)f(pair)0 1607 y(cannot)i(gain)e
39100 (energy)j(from)d(the)i(\014eld,)g(and)g(normally)d(w)m(ould)i(exist)h
39101 (only)f(as)h(a)f(\015uctuation.)52 b(If)36 b(q)3740 1622
39102 y Fl(1)0 1715 y Fw(mo)m(v)m(es)f(to)m(w)m(ards)h(q)f(and)p
39103 936 1662 V 35 w(q)987 1739 y Fl(1)1061 1715 y Fw(to)m(w)m(ards)p
39104 1427 1662 V 36 w(q,)g(the)g(net)g(\014eld)g(remaining)d(b)s(et)m(w)m
39105 (een)37 b(q)2981 1730 y Fl(1)3055 1715 y Fw(and)p 3247
39106 1662 V 35 w(q)3298 1739 y Fl(1)3372 1715 y Fw(is)p 3472
39107 1636 42 4 v 34 w Fj(b)q(b)e Fw(\()p Fj(b)g Fw(=)0 1834
39108 y(blue;)29 b Fj(g)14 b Fw(+)d Fj(r)30 b Fw(=)p 560 1755
39109 V 27 w Fj(b)e Fw(if)d(only)i(colour)f(triplets)g(are)h(assumed\).)42
39110 b(In)27 b(this)g(cen)m(tral)g(\014eld,)h(an)f(additional)d(q)3649
39111 1849 y Fl(2)p 3689 1781 52 4 v 3689 1834 a Fw(q)3740
39112 1858 y Fl(2)0 1942 y Fw(pair)31 b(can)h(b)s(e)g(created,)h(where)g(q)
39113 1210 1957 y Fl(2)1282 1942 y Fw(no)m(w)g(is)e(pulled)g(to)m(w)m(ards)i
39114 (qq)2339 1957 y Fl(1)2411 1942 y Fw(and)p 2600 1889 V
39115 32 w(q)2652 1966 y Fl(2)2723 1942 y Fw(to)m(w)m(ards)p
39116 3086 1889 V 33 w(q)p 3138 1889 V 1 w(q)3189 1966 y Fl(1)3229
39117 1942 y Fw(,)f(with)f(no)h(net)0 2051 y(colour)f(\014eld)h(b)s(et)m(w)m
39118 (een)i(q)930 2066 y Fl(2)1002 2051 y Fw(and)p 1191 1998
39119 V 32 w(q)1243 2074 y Fl(2)1282 2051 y Fw(.)44 b(If)32
39120 b(this)f(is)h(all)e(that)i(happ)s(ens,)h(the)g(bary)m(on)f
39121 Fj(B)37 b Fw(will)30 b(b)s(e)i(made)g(up)0 2159 y(out)i(of)g(q)339
39122 2174 y Fl(1)379 2159 y Fw(,)h(q)492 2174 y Fl(2)567 2159
39123 y Fw(and)g(some)f(q)1056 2174 y Fl(4)1130 2159 y Fw(pro)s(duced)i(b)s
39124 (et)m(w)m(een)g(q)f(and)g(q)2265 2174 y Fl(1)2305 2159
39125 y Fw(,)g(and)p 2559 2081 80 4 v 35 w Fj(B)k Fw(of)p 2785
39126 2106 52 4 v 34 w(q)2837 2183 y Fl(1)2876 2159 y Fw(,)p
39127 2938 2106 V 35 w(q)2990 2183 y Fl(2)3064 2159 y Fw(and)34
39128 b(some)p 3502 2106 V 35 w(q)3553 2183 y Fl(5)3593 2159
39129 y Fw(,)h(i.e.)0 2267 y(the)g Fj(B)40 b Fw(and)p 475 2189
39130 80 4 v 34 w Fj(B)g Fw(will)32 b(b)s(e)j(nearest)h(neigh)m(b)s(ours)e
39131 (in)g(rank)h(and)g(share)g(t)m(w)m(o)g(quark)h(pairs.)49
39132 b(Sp)s(eci\014cally)-8 b(,)0 2376 y(q)51 2391 y Fl(1)124
39133 2376 y Fw(will)31 b(gain)h(energy)j(from)d(q)1116 2391
39134 y Fl(2)1189 2376 y Fw(in)h(order)g(to)g(end)h(up)g(on)f(mass)h(shell,)f
39135 (and)g(the)h(tunnelling)d(form)m(ula)0 2484 y(for)h(an)h(e\013ectiv)m
39136 (e)g(q)712 2499 y Fl(1)752 2484 y Fw(q)803 2499 y Fl(2)876
39137 2484 y Fw(diquark)f(is)g(reco)m(v)m(ered.)146 2592 y(P)m(art)c(of)f
39138 (the)h(time,)f(sev)m(eral)h Fj(b)p 1232 2513 42 4 v(b)g
39139 Fw(colour)f(pair)f(pro)s(ductions)h(ma)m(y)g(tak)m(e)i(place)e(b)s(et)m
39140 (w)m(een)i(the)f(q)3555 2607 y Fl(1)3622 2592 y Fw(and)p
39141 0 2648 52 4 v 0 2701 a(q)51 2724 y Fl(1)91 2701 y Fw(,)37
39142 b(ho)m(w)m(ev)m(er.)56 b(With)36 b(t)m(w)m(o)h(pro)s(duction)e(v)m
39143 (ertices)j(q)1928 2716 y Fl(2)p 1967 2648 V 1967 2701
39144 a Fw(q)2019 2724 y Fl(2)2094 2701 y Fw(and)f(q)2339 2716
39145 y Fl(3)p 2379 2648 V 2379 2701 a Fw(q)2430 2724 y Fl(3)2469
39146 2701 y Fw(,)h(a)d(cen)m(tral)h(meson)p 3246 2648 V 36
39147 w(q)3298 2724 y Fl(2)3337 2701 y Fw(q)3388 2716 y Fl(3)3464
39148 2701 y Fw(ma)m(y)g(b)s(e)0 2809 y(formed,)e(surrounded)i(b)m(y)f(a)f
39149 (bary)m(on)h(q)1467 2824 y Fl(4)1507 2809 y Fw(q)1558
39150 2824 y Fl(1)1597 2809 y Fw(q)1648 2824 y Fl(2)1723 2809
39151 y Fw(and)f(an)g(an)m(tibary)m(on)p 2543 2756 V 34 w(q)2595
39152 2833 y Fl(3)p 2634 2756 V 2634 2809 a Fw(q)2686 2833
39153 y Fl(1)p 2725 2756 V 2725 2809 a Fw(q)2777 2833 y Fl(5)2816
39154 2809 y Fw(.)48 b(W)-8 b(e)35 b(call)e(this)h(a)f Fj(B)5
39155 b(M)p 3699 2731 80 4 v 10 w(B)0 2917 y Fw(con\014guration)40
39156 b(to)h(distinguish)f(it)h(from)f(the)i(q)1804 2932 y
39157 Fl(4)1843 2917 y Fw(q)1894 2932 y Fl(1)1934 2917 y Fw(q)1985
39158 2932 y Fl(2)2067 2917 y Fw(+)p 2184 2865 52 4 v 41 w(q)2235
39159 2941 y Fl(2)p 2275 2865 V 2275 2917 a Fw(q)2326 2941
39160 y Fl(1)p 2366 2865 V 2366 2917 a Fw(q)2417 2941 y Fl(5)2498
39161 2917 y Fj(B)p 2577 2839 80 4 v 5 w(B)k Fw(con\014guration)41
39162 b(ab)s(o)m(v)m(e.)70 b(F)-8 b(or)0 3026 y Fj(B)5 b(M)p
39163 183 2948 V 10 w(B)37 b Fw(the)31 b Fj(B)36 b Fw(and)p
39164 758 2948 V 31 w Fj(B)g Fw(only)31 b(share)g(one)g(quark{an)m(tiquark)h
39165 (pair,)e(as)h(opp)s(osed)h(to)f(t)m(w)m(o)g(for)g Fj(B)p
39166 3491 2948 V 5 w(B)36 b Fw(con-)0 3134 y(\014gurations.)41
39167 b(The)30 b(relativ)m(e)e(probabilit)m(y)e(for)j(a)f Fj(B)5
39168 b(M)p 1959 3056 V 10 w(B)34 b Fw(con\014guration)28 b(is)g(giv)m(en)h
39169 (b)m(y)g(the)g(uncertain)m(t)m(y)0 3242 y(relation)42
39170 b(suppression)k(for)e(ha)m(ving)g(the)h(q)1621 3257 y
39171 Fl(1)1705 3242 y Fw(and)p 1906 3190 52 4 v 44 w(q)1958
39172 3266 y Fl(1)2041 3242 y Fw(su\016cien)m(tly)h(far)d(apart)h(that)g(a)g
39173 (meson)h(ma)m(y)0 3351 y(b)s(e)39 b(formed)g(in)f(b)s(et)m(w)m(een.)65
39174 b(Strictly)38 b(sp)s(eaking,)j(also)d(con\014gurations)h(lik)m(e)f
39175 Fj(B)5 b(M)10 b(M)p 3131 3273 80 4 v 10 w(B)d Fw(,)41
39176 b Fj(B)5 b(M)10 b(M)g(M)p 3671 3273 V 10 w(B)d Fw(,)0
39177 3459 y(etc.)45 b(should)33 b(b)s(e)g(p)s(ossible,)g(but)g(the)g
39178 (probabilit)m(y)e(for)i(this)g(is)f(small)f(in)h(our)h(mo)s(del.)43
39179 b(F)-8 b(urther,)33 b(since)0 3567 y(larger)e(masses)j(corresp)s(onds)f
39180 (to)f(longer)g(string)g(pieces,)h(the)g(pro)s(duction)f(of)g
39181 (pseudoscalar)h(mesons)0 3676 y(is)c(fa)m(v)m(oured)h(o)m(v)m(er)h
39182 (that)e(of)f(v)m(ector)j(ones.)43 b(If)29 b(only)g Fj(B)p
39183 1936 3598 V 5 w(B)35 b Fw(and)29 b Fj(B)5 b(M)p 2414
39184 3598 V 10 w(B)35 b Fw(states)30 b(are)g(included,)f(and)h(if)e(the)0
39185 3784 y(probabilit)m(y)j(for)i(ha)m(ving)g(a)g(v)m(ector)h(meson)f
39186 Fj(M)44 b Fw(is)33 b(not)g(suppressed)j(extra,)e(t)m(w)m(o)f(partly)g
39187 (comp)s(ensat-)0 3893 y(ing)d(errors)h(are)g(made)g(\(since)g(a)g(v)m
39188 (ector)h(meson)f(t)m(ypically)e(deca)m(ys)k(in)m(to)d(t)m(w)m(o)i(or)f
39189 (more)f(pseudoscalar)0 4001 y(ones\).)146 4109 y(In)j(total,)d(the)j
39190 (\015a)m(v)m(our)g(iteration)d(pro)s(cedure)j(therefore)g(con)m(tains)f
39191 (the)g(follo)m(wing)e(p)s(ossible)h(sub-)0 4218 y(pro)s(cesses)k
39192 (\(plus,)d(of)g(course,)i(their)e(c)m(harge)h(conjugates\):)145
39193 4331 y Fn(\017)49 b Fw(q)295 4346 y Fl(1)362 4331 y Fn(!)28
39194 b Fw(q)541 4346 y Fl(2)603 4331 y Fw(+)22 b(\(q)790 4346
39195 y Fl(1)p 830 4278 52 4 v 830 4331 a Fw(q)881 4354 y Fl(2)921
39196 4331 y Fw(\))32 b(meson;)145 4448 y Fn(\017)49 b Fw(q)295
39197 4463 y Fl(1)362 4448 y Fn(!)p 490 4396 V 28 w Fw(q)541
39198 4472 y Fl(2)p 581 4396 V 581 4448 a Fw(q)632 4472 y Fl(3)694
39199 4448 y Fw(+)22 b(\(q)881 4463 y Fl(1)921 4448 y Fw(q)972
39200 4463 y Fl(2)1012 4448 y Fw(q)1063 4463 y Fl(3)1102 4448
39201 y Fw(\))33 b(bary)m(on;)145 4566 y Fn(\017)49 b Fw(q)295
39202 4581 y Fl(1)335 4566 y Fw(q)386 4581 y Fl(2)453 4566
39203 y Fn(!)p 581 4513 V 28 w Fw(q)632 4590 y Fl(3)694 4566
39204 y Fw(+)22 b(\(q)881 4581 y Fl(1)921 4566 y Fw(q)972 4581
39205 y Fl(2)1012 4566 y Fw(q)1063 4581 y Fl(3)1102 4566 y
39206 Fw(\))33 b(bary)m(on;)145 4684 y Fn(\017)49 b Fw(q)295
39207 4699 y Fl(1)335 4684 y Fw(q)386 4699 y Fl(2)453 4684
39208 y Fn(!)28 b Fw(q)632 4699 y Fl(1)672 4684 y Fw(q)723
39209 4699 y Fl(3)785 4684 y Fw(+)22 b(\(q)972 4699 y Fl(2)p
39210 1012 4631 V 1012 4684 a Fw(q)1063 4708 y Fl(3)1102 4684
39211 y Fw(\))33 b(meson;)0 4797 y(with)j(the)g(constrain)m(t)g(that)g(the)h
39212 (last)e(pro)s(cess)j(cannot)e(b)s(e)g(iterated)g(to)g(obtain)f(sev)m
39213 (eral)i(mesons)f(in)0 4905 y(b)s(et)m(w)m(een)f(the)e(bary)m(on)g(and)f
39214 (the)i(an)m(tibary)m(on.)146 5014 y(Unfortunately)-8
39215 b(,)39 b(the)f(resulting)f(bary)m(on)h(pro)s(duction)f(mo)s(del)f(has)j
39216 (a)e(fair)f(n)m(um)m(b)s(er)i(of)g(parame-)0 5122 y(ters,)h(whic)m(h)e
39217 (w)m(ould)g(b)s(e)h(giv)m(en)f(b)m(y)h(the)f(mo)s(del)f(only)g(if)g
39218 (quark)i(and)f(diquark)g(masses)h(w)m(ere)g(kno)m(wn)0
39219 5230 y(unam)m(biguously)-8 b(.)60 b(W)-8 b(e)39 b(ha)m(v)m(e)g(already)
39220 f(men)m(tioned)g(the)h(s)p Fj(=)p Fw(u)g(ratio)e(and)i(the)f(qq)p
39221 Fj(=)p Fw(q)i(one;)i(the)c(latter)0 5339 y(has)g(to)f(b)s(e)h
39222 (increased)g(from)f(0.09)g(to)g(0.10)g(for)g(the)h(p)s(op)s(corn)f(mo)s
39223 (del,)h(since)g(the)g(total)e(n)m(um)m(b)s(er)i(of)0
39224 5447 y(p)s(ossible)30 b(bary)m(on)i(pro)s(duction)f(con\014gurations)f
39225 (is)h(lo)m(w)m(er)g(in)g(this)f(case)i(\(the)g(particle)e(pro)s(duced)i
39226 (b)s(e-)0 5565 y(t)m(w)m(een)39 b(the)f Fj(B)k Fw(and)p
39227 764 5487 80 4 v 37 w Fj(B)h Fw(is)36 b(constrained)i(to)f(b)s(e)g(a)g
39228 (meson\).)57 b(F)-8 b(or)37 b(the)h(p)s(op)s(corn)f(mo)s(del,)f
39229 (exactly)i(the)1817 5953 y(232)p eop
39230 %%Page: 233 239
39231 233 238 bop 0 -18 a Fw(same)36 b(parameters)h(as)f(already)g(found)h
39232 (in)e(the)i(diquark)f(mo)s(del)f(are)h(needed)i(to)e(describ)s(e)h(the)
39233 g Fj(B)p 3700 -97 80 4 v 5 w(B)0 90 y Fw(con\014gurations.)50
39234 b(F)-8 b(or)35 b Fj(B)5 b(M)p 1035 12 V 10 w(B)41 b Fw
39235 (con\014gurations,)35 b(the)g(square)h(ro)s(ot)f(of)f(a)h(suppression)h
39236 (factor)f(should)0 198 y(b)s(e)i(applied)e(if)h(the)h(factor)f(is)g
39237 (relev)-5 b(an)m(t)36 b(only)g(for)g(one)h(of)f(the)h
39238 Fj(B)42 b Fw(and)p 2656 120 V 37 w Fj(B)5 b Fw(,)37 b(e.g.)56
39239 b(if)35 b(the)i Fj(B)42 b Fw(is)36 b(formed)0 307 y(with)29
39240 b(a)f(spin)h(1)g(`diquark')g(q)1036 322 y Fl(1)1076 307
39241 y Fw(q)1127 322 y Fl(2)1196 307 y Fw(but)g(the)p 1536
39242 229 V 30 w Fj(B)34 b Fw(with)28 b(a)h(spin)g(0)g(diquark)p
39243 2575 254 52 4 v 29 w(q)2626 330 y Fl(1)p 2666 254 V 2666
39244 307 a Fw(q)2717 330 y Fl(3)2757 307 y Fw(.)42 b(Additional)26
39245 b(parameters)0 415 y(include)31 b(the)h(relativ)m(e)e(probabilit)m(y)g
39246 (for)h Fj(B)5 b(M)p 1676 337 80 4 v 10 w(B)37 b Fw(con\014gurations,)31
39247 b(whic)m(h)h(is)f(assumed)h(to)f(b)s(e)h(roughly)0 523
39248 y(0.5)25 b(\(with)g(the)g(remaining)e(0.5)i(b)s(eing)f
39249 Fj(B)p 1495 445 V 5 w(B)6 b Fw(\),)26 b(a)f(suppression)i(factor)d(for)
39250 h(ha)m(ving)g(a)g(strange)h(meson)f Fj(M)0 641 y Fw(b)s(et)m(w)m(een)34
39251 b(the)e Fj(B)37 b Fw(and)p 843 563 V 32 w Fj(B)g Fw(\(as)32
39252 b(opp)s(osed)h(to)e(ha)m(ving)h(a)g(ligh)m(ter)e(nonstrange)i(one\))h
39253 (and)f(a)f(suppression)0 759 y(factor)d(for)g(ha)m(ving)h(a)f(s)p
39254 846 706 39 4 v(s)i(pair)d(\(rather)i(than)g(a)f(u)p 1792
39255 706 55 4 v(u)h(one\))g(shared)h(b)s(et)m(w)m(een)g(the)g
39256 Fj(B)j Fw(and)p 3224 681 80 4 v 29 w Fj(B)h Fw(of)28
39257 b(a)g Fj(B)5 b(M)p 3699 681 V 10 w(B)0 867 y Fw(con\014guration.)43
39258 b(The)33 b(default)f(parameter)g(v)-5 b(alues)32 b(are)g(based)i(on)e
39259 (a)g(com)m(bination)f(of)g(exp)s(erimen)m(tal)0 976 y(observ)-5
39260 b(ation)32 b(and)h(in)m(ternal)e(mo)s(del)g(predictions.)146
39261 1084 y(In)j(the)f(diquark)h(mo)s(del,)d(a)i(diquark)h(is)e(exp)s(ected)
39262 j(to)e(ha)m(v)m(e)h(exactly)g(the)g(same)f(transv)m(erse)i(mo-)0
39263 1192 y(men)m(tum)24 b(distribution)f(as)i(a)f(quark.)42
39264 b(F)-8 b(or)24 b Fj(B)5 b(M)p 1745 1114 V 10 w(B)31 b
39265 Fw(con\014gurations)24 b(the)h(situation)e(is)h(somewhat)h(more)0
39266 1301 y(unclear,)34 b(but)g(w)m(e)h(ha)m(v)m(e)g(c)m(hec)m(k)m(ed)i
39267 (that)c(v)-5 b(arious)33 b(p)s(ossibilities)e(giv)m(e)i(v)m(ery)j
39268 (similar)30 b(results.)47 b(The)35 b(op-)0 1409 y(tion)26
39269 b(implemen)m(ted)f(in)h(the)h(program)f(is)g(to)g(assume)h(no)g(transv)
39270 m(erse)i(momen)m(tum)c(at)i(all)d(for)j(the)g(q)3649
39271 1424 y Fl(1)p 3689 1356 52 4 v 3689 1409 a Fw(q)3740
39272 1433 y Fl(1)0 1517 y Fw(pair)j(shared)h(b)m(y)h(the)f
39273 Fj(B)36 b Fw(and)p 1104 1439 80 4 v 31 w Fj(B)5 b Fw(,)31
39274 b(with)f(all)f(other)i(pairs)f(ha)m(ving)h(the)g(standard)g(Gaussian)f
39275 (sp)s(ectrum)0 1626 y(with)i(lo)s(cal)f(momen)m(tum)g(conserv)-5
39276 b(ation.)44 b(This)33 b(means)f(that)h(the)g Fj(B)38
39277 b Fw(and)p 2768 1548 V 33 w Fj(B)f(p)2928 1641 y Fk(?)2987
39278 1626 y Fw(:s)d(are)e(uncorrelated)0 1734 y(in)26 b(a)h
39279 Fj(B)5 b(M)p 367 1656 V 10 w(B)33 b Fw(con\014guration)26
39280 b(and)g(\(partially\))f(an)m(ticorrelated)g(in)h(the)i
39281 Fj(B)p 2670 1656 V 5 w(B)k Fw(con\014gurations,)c(with)e(the)0
39282 1842 y(same)32 b(mean)h(transv)m(erse)h(momen)m(tum)d(for)h(primary)g
39283 (bary)m(ons)h(as)g(for)f(primary)f(mesons.)146 1951 y(Occasionally)-8
39284 b(,)33 b(the)h(endp)s(oin)m(t)g(of)g(a)f(string)h(is)f(not)h(a)g
39285 (single)f(parton,)h(but)g(a)g(diquark)g(or)f(an)m(tidi-)0
39286 2059 y(quark,)47 b(e.g.)75 b(when)45 b(a)e(quark)h(has)f(b)s(een)h(kic)
39287 m(k)m(ed)h(out)e(of)g(a)g(proton)g(b)s(eam)f(particle.)74
39288 b(One)44 b(could)0 2167 y(consider)37 b(fairly)f(complex)g(sc)m(hemes)j
39289 (for)e(the)g(resulting)f(fragmen)m(tation.)55 b(One)38
39290 b(suc)m(h)g([And81])g(w)m(as)0 2276 y(a)m(v)-5 b(ailable)29
39291 b(in)h Fm(Jetset)g Fw(v)m(ersion)h(6)g(but)h(is)e(no)h(longer)f(found)h
39292 (in)g(v)m(ersion)g(7.)43 b(Instead)32 b(the)g(same)f(basic)0
39293 2384 y(sc)m(heme)37 b(is)e(used)i(as)f(for)f(diquark)h(pair)f(pro)s
39294 (duction)g(ab)s(o)m(v)m(e.)53 b(Th)m(us)38 b(a)d(qq)i(diquark)e(endp)s
39295 (oin)m(t)h(is)f(let)0 2492 y(to)i(fragmen)m(t)g(just)g(as)h(w)m(ould)f
39296 (a)g(qq)h(pro)s(duced)g(in)f(the)h(\014eld)f(b)s(ehind)g(a)g(matc)m
39297 (hing)p 3159 2440 52 4 v 36 w(q)p 3211 2440 V 1 w(q)g(\015a)m(v)m(our,)
39298 j(i.e.)0 2601 y(either)33 b(the)g(t)m(w)m(o)g(quarks)h(of)e(the)i
39299 (diquark)e(en)m(ter)i(in)m(to)e(the)h(same)g(leading)e(bary)m(on,)j(or)
39300 e(else)h(a)f(meson)0 2709 y(is)d(\014rst)i(pro)s(duced,)g(con)m
39301 (taining)e(one)h(of)g(the)g(quarks,)i(while)d(the)i(other)f(is)f(con)m
39302 (tained)h(in)f(the)i(bary)m(on)0 2818 y(pro)s(duced)i(in)f(the)h(next)h
39303 (step.)0 3091 y Fp(12.2)136 b(String)45 b(F)-11 b(ragmen)l(tation)0
39304 3264 y Fw(An)38 b(iterativ)m(e)e(pro)s(cedure)i(can)g(also)e(b)s(e)h
39305 (used)i(for)e(other)g(asp)s(ects)h(of)f(the)h(fragmen)m(tation.)56
39306 b(This)37 b(is)0 3372 y(p)s(ossible)e(b)s(ecause,)j(in)d(the)i(string)e
39307 (picture,)h(the)h(v)-5 b(arious)35 b(p)s(oin)m(ts)g(where)i(the)g
39308 (string)e(break)h(b)m(y)h(the)0 3481 y(pro)s(duction)32
39309 b(of)h(q)p 659 3428 V(q)h(pairs)e(are)h(causally)f(disconnected.)46
39310 b(Whereas)34 b(the)f(space{time)g(picture)g(in)f(the)0
39311 3589 y(c.m.)43 b(frame)31 b(is)h(suc)m(h)h(that)f(slo)m(w)g(particles)g
39312 (\(in)f(the)h(middle)f(of)g(the)i(system\))g(are)f(formed)f(\014rst,)i
39313 (this)0 3697 y(ordering)i(is)g(Loren)m(tz)i(frame)e(dep)s(enden)m(t)j
39314 (and)e(hence)h(irrelev)-5 b(an)m(t.)53 b(One)36 b(ma)m(y)g(therefore)g
39315 (mak)m(e)g(the)0 3806 y(con)m(v)m(enien)m(t)31 b(c)m(hoice)e(of)f
39316 (starting)g(an)h(iteration)e(pro)s(cess)j(at)e(the)i(ends)g(of)e(the)h
39317 (string)g(and)g(pro)s(ceeding)0 3914 y(to)m(w)m(ards)34
39318 b(the)f(middle.)146 4023 y(The)27 b(string)e(fragmen)m(tation)f(sc)m
39319 (heme)k(is)d(rather)h(complicated)e(for)i(a)f(generic)h(m)m(ultiparton)
39320 e(state.)0 4131 y(In)29 b(order)f(to)g(simplify)e(the)j(discussion,)g
39321 (w)m(e)h(will)c(therefore)j(start)f(with)g(the)h(simple)e(q)p
39322 3179 4078 V(q)i(pro)s(cess,)h(and)0 4239 y(only)c(later)f(surv)m(ey)k
39323 (the)d(complications)e(that)i(app)s(ear)g(when)i(additional)23
39324 b(gluons)j(are)g(presen)m(t.)43 b(\(This)0 4348 y(distinction)f(is)h
39325 (made)f(for)h(p)s(edagogical)f(reasons,)47 b(in)42 b(the)i(program)e
39326 (there)i(is)f(only)g(one)h(general-)0 4456 y(purp)s(ose)33
39327 b(algorithm\).)0 4704 y Fo(12.2.1)113 b(F)-9 b(ragmen)m(tation)36
39328 b(functions)0 4876 y Fw(Assume)30 b(a)e(q)p 486 4823
39329 V(q)i(jet)e(system,)j(in)d(its)g(c.m.)42 b(frame,)29
39330 b(with)f(the)h(quark)h(mo)m(ving)e(out)g(in)g(the)h(+)p
39331 Fj(z)34 b Fw(direction)0 4985 y(and)28 b(the)h(an)m(tiquark)f(in)g(the)
39332 g Fn(\000)p Fj(z)34 b Fw(one.)42 b(W)-8 b(e)28 b(ha)m(v)m(e)i
39333 (discussed)g(ho)m(w)f(it)e(is)g(p)s(ossible)h(to)g(start)g(the)h(\015a)
39334 m(v)m(our)0 5093 y(iteration)34 b(from)h(the)i(q)f(end,)i(i.e.)54
39335 b(pic)m(k)36 b(a)g(q)1632 5108 y Fl(1)p 1672 5040 V 1672
39336 5093 a Fw(q)1723 5117 y Fl(1)1799 5093 y Fw(pair,)g(form)f(a)h(hadron)g
39337 (q)p 2735 5040 V(q)2787 5117 y Fl(1)2826 5093 y Fw(,)h(etc.)55
39338 b(It)36 b(has)h(also)e(b)s(een)0 5201 y(noted)h(that)g(the)h
39339 (tunnelling)d(mec)m(hanism)h(is)h(assumed)h(to)e(giv)m(e)h(a)g(transv)m
39340 (erse)i(momen)m(tum)d Fj(p)3568 5216 y Fk(?)3663 5201
39341 y Fw(for)0 5310 y(eac)m(h)k(new)g(q)482 5325 y Fh(i)p
39342 510 5257 V 510 5310 a Fw(q)562 5333 y Fh(i)628 5310 y
39343 Fw(pair)e(created,)j(with)e(the)g Fj(p)1659 5325 y Fk(?)1756
39344 5310 y Fw(lo)s(cally)d(comp)s(ensated)k(b)s(et)m(w)m(een)h(the)e(q)3265
39345 5325 y Fh(i)3331 5310 y Fw(and)h(the)p 3700 5257 V 38
39346 w(q)3751 5333 y Fh(i)0 5418 y Fw(mem)m(b)s(er)i(of)g(the)h(pair,)g(and)
39347 g(with)f(a)g(Gaussian)g(distribution)e(in)i Fj(p)2578
39348 5433 y Fh(x)2663 5418 y Fw(and)g Fj(p)2910 5433 y Fh(y)2993
39349 5418 y Fw(separately)-8 b(.)70 b(In)42 b(the)0 5526 y(program,)c(this)g
39350 (is)g(regulated)g(b)m(y)h(one)f(parameter,)i(whic)m(h)e(giv)m(es)h(the)
39351 g(ro)s(ot-mean-square)e Fj(p)3517 5541 y Fk(?)3614 5526
39352 y Fw(of)h(a)1817 5953 y(233)p eop
39353 %%Page: 234 240
39354 234 239 bop 0 -18 a Fw(quark.)44 b(Hadron)32 b(transv)m(erse)h(momen)m
39355 (ta)e(are)h(obtained)f(as)g(the)h(sum)g(of)f Fj(p)2760
39356 -3 y Fk(?)2819 -18 y Fw(:s)h(of)f(the)i(constituen)m(t)f(q)3751
39357 -3 y Fh(i)0 90 y Fw(and)p 190 37 52 4 v 33 w(q)241 113
39358 y Fh(i)p Fl(+1)360 90 y Fw(,)g(where)i(a)e(diquark)h(is)f(considered)h
39359 (just)g(as)g(a)f(single)g(quark.)146 198 y(What)47 b(remains)e(to)h(b)s
39360 (e)h(determined)f(is)g(the)h(energy)h(and)e(longitudinal)d(momen)m(tum)
39361 i(of)h(the)0 307 y(hadron.)d(In)32 b(fact,)g(only)f(one)h(v)-5
39362 b(ariable)29 b(can)j(b)s(e)g(selected)g(indep)s(enden)m(tly)-8
39363 b(,)33 b(since)f(the)g(momen)m(tum)e(of)0 415 y(the)j(hadron)g(is)f
39364 (constrained)g(b)m(y)i(the)f(already)f(determined)h(hadron)f(transv)m
39365 (erse)j(mass)d Fj(m)3391 430 y Fk(?)3451 415 y Fw(,)789
39366 623 y(\()p Fj(E)c Fw(+)22 b Fj(p)1074 638 y Fh(z)1114
39367 623 y Fw(\)\()p Fj(E)28 b Fn(\000)23 b Fj(p)1439 638
39368 y Fh(z)1478 623 y Fw(\))28 b(=)g Fj(E)1726 582 y Fl(2)1787
39369 623 y Fn(\000)23 b Fj(p)1936 582 y Fl(2)1936 647 y Fh(z)2003
39370 623 y Fw(=)28 b Fj(m)2192 582 y Fl(2)2192 647 y Fk(?)2279
39371 623 y Fw(=)f Fj(m)2467 582 y Fl(2)2529 623 y Fw(+)22
39372 b Fj(p)2676 582 y Fl(2)2676 647 y Fh(x)2742 623 y Fw(+)g
39373 Fj(p)2889 582 y Fl(2)2889 647 y Fh(y)2963 623 y Fj(:)567
39374 b Fw(\(177\))0 843 y(In)30 b(an)g(iteration)e(from)h(the)i(quark)g
39375 (end,)g(one)f(is)g(led)f(\(b)m(y)i(the)g(desire)f(for)g(longitudinal)c
39376 (b)s(o)s(ost)k(in)m(v)-5 b(ari-)0 951 y(ance)33 b(and)f(other)g
39377 (considerations\))g(to)g(select)g(the)h Fj(z)k Fw(v)-5
39378 b(ariable)30 b(as)i(the)h(fraction)e(of)g Fj(E)d Fw(+)21
39379 b Fj(p)3340 966 y Fh(z)3411 951 y Fw(tak)m(en)34 b(b)m(y)0
39380 1060 y(the)d(hadron,)g(out)f(of)g(the)h(a)m(v)-5 b(ailable)28
39381 b Fj(E)23 b Fw(+)18 b Fj(p)1605 1075 y Fh(z)1645 1060
39382 y Fw(.)42 b(As)31 b(hadrons)g(are)g(split)e(o\013,)h(the)h
39383 Fj(E)24 b Fw(+)17 b Fj(p)3166 1075 y Fh(z)3236 1060 y
39384 Fw(\(and)31 b Fj(E)24 b Fn(\000)18 b Fj(p)3702 1075 y
39385 Fh(z)3742 1060 y Fw(\))0 1168 y(left)32 b(for)g(subsequen)m(t)j(steps)f
39386 (is)e(reduced)j(accordingly:)937 1376 y(\()p Fj(E)29
39387 b Fw(+)22 b Fj(p)1223 1391 y Fh(z)1262 1376 y Fw(\))1300
39388 1391 y Fl(new)1510 1376 y Fw(=)83 b(\(1)22 b Fn(\000)g
39389 Fj(z)t Fw(\)\()p Fj(E)29 b Fw(+)22 b Fj(p)2250 1391 y
39390 Fh(z)2290 1376 y Fw(\))2328 1391 y Fl(old)2459 1376 y
39391 Fj(;)936 1581 y Fw(\()p Fj(E)28 b Fn(\000)23 b Fj(p)1223
39392 1596 y Fh(z)1262 1581 y Fw(\))1300 1596 y Fl(new)1510
39393 1581 y Fw(=)83 b(\()p Fj(E)28 b Fn(\000)23 b Fj(p)1956
39394 1596 y Fh(z)1995 1581 y Fw(\))2033 1596 y Fl(old)2154
39395 1581 y Fn(\000)2447 1513 y Fj(m)2532 1477 y Fl(2)2532
39396 1538 y Fk(?)p 2263 1557 511 4 v 2263 1649 a Fj(z)t Fw(\()p
39397 Fj(E)29 b Fw(+)22 b Fj(p)2598 1664 y Fh(z)2638 1649 y
39398 Fw(\))2676 1664 y Fl(old)2817 1581 y Fj(:)713 b Fw(\(178\))146
39399 1856 y(The)43 b(fragmen)m(tation)d(function)i Fj(f)11
39400 b Fw(\()p Fj(z)t Fw(\),)45 b(whic)m(h)d(expresses)j(the)e(probabilit)m
39401 (y)d(that)h(a)h(giv)m(en)g Fj(z)47 b Fw(is)0 1965 y(pic)m(k)m(ed,)35
39402 b(could)e(in)g(principle)f(b)s(e)i(arbitrary)f(|)g(indeed,)i(sev)m
39403 (eral)f(suc)m(h)h(c)m(hoices)f(can)g(b)s(e)g(used)h(inside)0
39404 2073 y(the)e(program,)e(see)j(b)s(elo)m(w.)146 2181 y(If)42
39405 b(one,)i(in)d(addition,)i(requires)f(that)g(the)g(fragmen)m(tation)e
39406 (pro)s(cess)j(as)f(a)f(whole)h(should)g(lo)s(ok)0 2290
39407 y(the)37 b(same,)h(irresp)s(ectiv)m(ely)f(of)f(whether)i(the)f
39408 (iterativ)m(e)f(pro)s(cedure)i(is)e(p)s(erformed)g(from)g(the)h(q)g
39409 (end)0 2398 y(or)d(the)p 292 2345 52 4 v 36 w(q)h(one,)g(`left{righ)m
39410 (t)e(symmetry',)j(the)f(c)m(hoice)g(is)f(essen)m(tially)h(unique)g
39411 ([And83a]:)48 b(the)35 b(`Lund)0 2506 y(symmetric)d(fragmen)m(tation)e
39412 (function',)1061 2783 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28
39413 b Fn(/)1388 2716 y Fw(1)p 1388 2760 50 4 v 1388 2852
39414 a Fj(z)1448 2783 y(z)1497 2742 y Fh(a)1534 2750 y Fe(\013)1600
39415 2662 y Fg(\022)1671 2716 y Fw(1)22 b Fn(\000)h Fj(z)p
39416 1671 2760 221 4 v 1756 2852 a(z)1901 2662 y Fg(\023)1962
39417 2678 y Fh(a)1999 2690 y Fe(\014)2062 2783 y Fw(exp)2228
39418 2637 y Fg( )2293 2783 y Fn(\000)2380 2716 y Fj(bm)2506
39419 2680 y Fl(2)2506 2740 y Fk(?)p 2380 2760 186 4 v 2449
39420 2852 a Fj(z)2577 2637 y Fg(!)2692 2783 y Fj(:)838 b Fw(\(179\))0
39421 3060 y(There)30 b(is)e(one)g(separate)h(parameter)f Fj(a)h
39422 Fw(for)f(eac)m(h)h(\015a)m(v)m(our,)h(with)e(the)h(index)g
39423 Fj(\013)g Fw(corresp)s(onding)f(to)g(the)0 3168 y(`old')35
39424 b(\015a)m(v)m(our)j(in)d(the)i(iteration)d(pro)s(cess,)k(and)f
39425 Fj(\014)42 b Fw(to)35 b(the)i(`new')g(\015a)m(v)m(our.)56
39426 b(It)36 b(is)g(customary)g(to)g(put)0 3277 y(all)30 b
39427 Fj(a)186 3292 y Fh(\013;\014)331 3277 y Fw(the)j(same,)g(and)f(th)m(us)
39428 i(arriv)m(e)e(at)h(the)g(simpli\014ed)d(expression)1159
39429 3496 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b Fn(/)g Fj(z)1525
39430 3455 y Fk(\000)p Fl(1)1620 3496 y Fw(\(1)22 b Fn(\000)g
39431 Fj(z)t Fw(\))1915 3455 y Fh(a)1974 3496 y Fw(exp)q(\()p
39432 Fn(\000)p Fj(bm)2364 3455 y Fl(2)2364 3521 y Fk(?)2425
39433 3496 y Fj(=z)t Fw(\))33 b Fj(:)936 b Fw(\(180\))0 3704
39434 y(In)34 b(the)h(program,)d(only)i(t)m(w)m(o)g(separate)h
39435 Fj(a)f Fw(v)-5 b(alues)34 b(can)g(b)s(e)g(giv)m(en,)h(that)e(for)h
39436 (quark)g(pair)f(pro)s(duction)0 3813 y(and)e(that)f(for)g(diquark)h
39437 (one;)h(b)m(y)f(default)f(the)h(t)m(w)m(o)g(are)g(tak)m(en)h(to)e(b)s
39438 (e)h(the)g(same.)42 b(In)31 b(addition,)f(there)0 3921
39439 y(is)i(the)h Fj(b)g Fw(parameter,)f(whic)m(h)h(is)f(univ)m(ersal.)146
39440 4029 y(It)39 b(should)f(b)s(e)g(noted)h(that)f(the)g(explicit)f(mass)h
39441 (dep)s(endence)j(in)c Fj(f)11 b Fw(\()p Fj(z)t Fw(\))39
39442 b(implies)c(a)j(harder)h(frag-)0 4138 y(men)m(tation)27
39443 b(function)g(for)g(hea)m(vier)i(hadrons;)h(the)e(asymptotic)f(b)s(eha)m
39444 (viour)h(of)f(the)i(mean)e Fj(z)33 b Fw(v)-5 b(alue)27
39445 b(for)0 4246 y(hea)m(vy)34 b(hadrons)f(is)1525 4405 y
39446 Fn(h)p Fj(z)t Fn(i)28 b(\031)g Fw(1)22 b Fn(\000)1965
39447 4338 y Fw(1)g(+)g Fj(a)p 1965 4382 221 4 v 1982 4474
39448 a(bm)2108 4439 y Fl(2)2108 4499 y Fk(?)2228 4405 y Fj(:)1302
39449 b Fw(\(181\))0 4630 y(Unfortunately)46 b(it)e(seems)j(this)f(predicts)g
39450 (a)f(somewhat)i(harder)f(sp)s(ectrum)g(for)f(B)h(mesons)g(than)0
39451 4739 y(observ)m(ed)35 b(in)c(data.)146 4847 y(F)-8 b(or)29
39452 b(future)i(reference)g(w)m(e)g(note)g(that)e(the)i(deriv)-5
39453 b(ation)28 b(of)i Fj(f)11 b Fw(\()p Fj(z)t Fw(\))30 b(as)g(a)g(b)m
39454 (y-pro)s(duct)h(also)e(giv)m(es)h(the)0 4955 y(probabilit)m(y)g
39455 (distribution)h(in)g(prop)s(er)i(time)d Fj(\034)44 b
39456 Fw(of)32 b(q)1924 4970 y Fh(i)p 1953 4902 52 4 v 1953
39457 4955 a Fw(q)2004 4979 y Fh(i)2065 4955 y Fw(breakup)h(v)m(ertices.)45
39458 b(In)32 b(terms)g(of)g(\000)c(=)f(\()p Fj(\024\034)11
39459 b Fw(\))3712 4919 y Fl(2)3752 4955 y Fw(,)0 5064 y(this)32
39460 b(distribution)f(is)1284 5172 y Fn(P)8 b Fw(\(\000\))17
39461 b(d\000)28 b Fn(/)g Fw(\000)1824 5131 y Fh(a)1899 5172
39462 y Fw(exp)q(\()p Fn(\000)p Fj(b)p Fw(\000\))17 b(d\000)33
39463 b Fj(;)1062 b Fw(\(182\))0 5334 y(with)32 b(the)h(same)g
39464 Fj(a)f Fw(and)h Fj(b)g Fw(as)g(ab)s(o)m(v)m(e.)146 5443
39465 y(Man)m(y)c(di\013eren)m(t)e(other)g(fragmen)m(tation)e(functions)j(ha)
39466 m(v)m(e)g(b)s(een)g(prop)s(osed,)h(and)e(a)g(few)h(are)f(a)m(v)-5
39467 b(ail-)0 5551 y(able)32 b(as)h(options)f(in)f(the)i(program.)1817
39468 5953 y(234)p eop
39469 %%Page: 235 241
39470 235 240 bop 145 -18 a Fn(\017)49 b Fw(The)33 b(Field-F)-8
39471 b(eynman)31 b(parametrization)f([Fie78)n(],)1435 193
39472 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b(=)g(1)22 b Fn(\000)g
39473 Fj(a)h Fw(+)f(3)p Fj(a)p Fw(\(1)g Fn(\000)g Fj(z)t Fw(\))2488
39474 152 y Fl(2)2561 193 y Fj(;)969 b Fw(\(183\))244 395 y(with)32
39475 b(default)f(v)-5 b(alue)32 b Fj(a)27 b Fw(=)h(0)p Fj(:)p
39476 Fw(77,)k(is)f(in)m(tended)i(to)f(b)s(e)g(used)i(only)d(for)h(ordinary)f
39477 (hadrons)i(made)244 504 y(out)f(of)g(u,)h(d)g(and)g(s)g(quarks.)145
39478 622 y Fn(\017)49 b Fw(Since)38 b(there)i(are)e(indications)e(that)j
39479 (the)f(shap)s(e)h(ab)s(o)m(v)m(e)h(is)e(to)s(o)f(strongly)h(p)s(eak)m
39480 (ed)i(at)e Fj(z)k Fw(=)c(0,)244 730 y(instead)32 b(a)h(shap)s(e)g(lik)m
39481 (e)1545 838 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b(=)g(\(1)22
39482 b(+)g Fj(c)p Fw(\)\(1)f Fn(\000)i Fj(z)t Fw(\))2443 797
39483 y Fh(c)3557 838 y Fw(\(184\))244 998 y(ma)m(y)32 b(b)s(e)h(used.)145
39484 1116 y Fn(\017)49 b Fw(Charm)32 b(and)g(b)s(ottom)f(data)h(clearly)f
39485 (indicate)h(the)g(need)i(for)d(a)h(harder)h(fragmen)m(tation)d(func-)
39486 244 1224 y(tion)43 b(for)h(hea)m(vy)i(\015a)m(v)m(ours.)80
39487 b(The)45 b(b)s(est)g(kno)m(wn)h(of)d(these)j(is)e(the)h(P)m(eterson)h
39488 (et)e(al.)f(form)m(ula)244 1333 y([P)m(et83])1410 1498
39489 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b Fn(/)2116 1430
39490 y Fw(1)p 1737 1474 808 4 v 1737 1604 a Fj(z)1803 1508
39491 y Fg(\020)1853 1604 y Fw(1)22 b Fn(\000)2034 1565 y Fw(1)p
39492 2033 1581 50 4 v 2033 1639 a Fj(z)2115 1604 y Fn(\000)2285
39493 1546 y Fj(\017)2324 1561 y Fh(Q)p 2225 1581 221 4 v 2225
39494 1649 a Fw(1)g Fn(\000)g Fj(z)2455 1508 y Fg(\021)2505
39495 1527 y Fl(2)2587 1498 y Fj(;)943 b Fw(\(185\))244 1796
39496 y(where)34 b Fj(\017)565 1811 y Fh(Q)657 1796 y Fw(is)e(a)h(free)g
39497 (parameter,)f(exp)s(ected)i(to)e(scale)h(b)s(et)m(w)m(een)i(\015a)m(v)m
39498 (ours)f(lik)m(e)d Fj(\017)3231 1811 y Fh(Q)3319 1796
39499 y Fn(/)d Fw(1)p Fj(=m)3607 1760 y Fl(2)3607 1820 y Fh(Q)3667
39500 1796 y Fw(.)145 1914 y Fn(\017)49 b Fw(As)33 b(a)f(crude)i(alternativ)m
39501 (e,)e(that)g(is)g(also)g(p)s(eak)m(ed)i(at)e Fj(z)g Fw(=)c(1,)k(one)h
39502 (ma)m(y)f(use)1638 2116 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))29
39503 b(=)e(\(1)22 b(+)g Fj(c)p Fw(\))p Fj(z)2290 2075 y Fh(c)2358
39504 2116 y Fj(:)1172 b Fw(\(186\))145 2323 y Fn(\017)49 b
39505 Fw(Bo)m(wler)38 b([Bo)m(w81)q(])g(has)h(sho)m(wn,)j(within)c(the)h
39506 (framew)m(ork)f(of)h(the)g(Artru{Mennessier)h(mo)s(del)244
39507 2432 y([Art74],)j(that)f(a)f(massiv)m(e)g(endp)s(oin)m(t)h(quark)g
39508 (with)f(mass)g Fj(m)2558 2447 y Fh(Q)2660 2432 y Fw(leads)g(to)g(a)g
39509 (mo)s(di\014cation)e(of)244 2540 y(the)h(symmetric)e(fragmen)m(tation)f
39510 (function,)k(due)f(to)f(the)g(fact)g(that)g(the)h(string)f(area)g(sw)m
39511 (ept)244 2648 y(out)k(is)h(reduced)h(for)e(massiv)m(e)h(endp)s(oin)m(t)
39512 f(quarks,)48 b(compared)c(with)f(massless)h(ditto.)76
39513 b(The)244 2757 y(Artru{Mennessier)48 b(mo)s(del)d(in)g(principle)g
39514 (only)h(applies)f(for)h(clusters)h(with)f(a)g(con)m(tin)m(uous)244
39515 2865 y(mass)40 b(sp)s(ectrum,)i(and)e(do)s(es)g(not)g(allo)m(w)e(an)i
39516 Fj(a)g Fw(term)f(\(i.e.)65 b Fj(a)41 b Fn(\021)f Fw(0\);)j(ho)m(w)m(ev)
39517 m(er,)i(it)38 b(has)j(b)s(een)244 2973 y(sho)m(wn)29
39518 b([Mor89])e(that,)i(for)e(a)h(discrete)g(mass)g(sp)s(ectrum,)h(one)f
39519 (ma)m(y)g(still)d(retain)i(an)h(e\013ectiv)m(e)g Fj(a)244
39520 3082 y Fw(term.)42 b(In)29 b(the)g(program)e(an)i(appro)m(ximate)f
39521 (form)g(with)g(an)h Fj(a)g Fw(term)f(has)h(therefore)h(b)s(een)f(used:)
39522 1021 3353 y Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b Fn(/)1510
39523 3286 y Fw(1)p 1348 3330 374 4 v 1348 3440 a Fj(z)1397
39524 3395 y Fl(1+)p Fh(r)1519 3406 y Fe(Q)1572 3395 y Fh(bm)1664
39525 3372 y Ff(2)1664 3419 y Fe(Q)1731 3353 y Fj(z)1780 3312
39526 y Fh(a)1817 3320 y Fe(\013)1884 3232 y Fg(\022)1955 3286
39527 y Fw(1)22 b Fn(\000)g Fj(z)p 1955 3330 221 4 v 2040 3421
39528 a(z)2185 3232 y Fg(\023)2246 3248 y Fh(a)2283 3260 y
39529 Fe(\014)2346 3353 y Fw(exp)2511 3207 y Fg( )2577 3353
39530 y Fn(\000)2664 3286 y Fj(bm)2790 3250 y Fl(2)2790 3310
39531 y Fk(?)p 2664 3330 186 4 v 2733 3421 a Fj(z)2860 3207
39532 y Fg(!)2975 3353 y Fj(:)555 b Fw(\(187\))244 3625 y(In)47
39533 b(principle)e(the)j(prediction)e(is)g(that)h Fj(r)1835
39534 3640 y Fh(Q)1946 3625 y Fn(\021)53 b Fw(1,)d(but)d(so)g(as)g(to)f(b)s
39535 (e)h(able)g(to)f(extrap)s(olate)244 3733 y(smo)s(othly)33
39536 b(b)s(et)m(w)m(een)k(this)d(form)g(and)g(the)h(Lund)h(symmetric)d(one,)
39537 j(it)d(is)i(p)s(ossible)f(to)g(pic)m(k)h Fj(r)3720 3748
39538 y Fh(Q)244 3841 y Fw(separately)e(for)f(c,)h(b)f(and)h(t)g(hadrons.)0
39539 4088 y Fo(12.2.2)113 b(Joining)36 b(the)h(jets)0 4261
39540 y Fw(The)d Fj(f)11 b Fw(\()p Fj(z)t Fw(\))34 b(form)m(ula)e(ab)s(o)m(v)
39541 m(e)i(is)f(only)g(v)-5 b(alid,)32 b(for)h(the)h(breakup)h(of)e(a)g(jet)
39542 h(system)g(in)m(to)f(a)g(hadron)h(plus)0 4369 y(a)39
39543 b(remainder-system,)h(when)g(the)f(remainder)f(mass)h(is)f(large.)62
39544 b(If)38 b(the)i(fragmen)m(tation)d(algorithm)0 4478 y(w)m(ere)42
39545 b(to)e(b)s(e)h(used)h(all)d(the)i(w)m(a)m(y)h(from)e(the)h(q)g(end)g
39546 (to)g(the)p 2261 4425 52 4 v 41 w(q)g(one,)i(the)e(mass)g(of)f(the)h
39547 (last)f(hadron)0 4586 y(to)f(b)s(e)h(formed)f(at)g(the)p
39548 903 4533 V 41 w(q)h(end)g(w)m(ould)g(b)s(e)f(completely)g(constrained)h
39549 (b)m(y)g(energy)h(and)f(momen)m(tum)0 4694 y(conserv)-5
39550 b(ation,)33 b(and)g(could)g(not)g(b)s(e)g(on)g(its)g(mass)g(shell.)44
39551 b(In)33 b(theory)h(it)e(is)g(kno)m(wn)j(ho)m(w)e(to)g(tak)m(e)h(suc)m
39552 (h)0 4803 y(e\013ects)43 b(in)m(to)f(accoun)m(t,)j(but)e(the)f
39553 (resulting)f(form)m(ulae)g(are)h(wholly)f(unsuitable)h(for)f(Mon)m(te)i
39554 (Carlo)0 4911 y(implemen)m(tation.)146 5019 y(The)29
39555 b(practical)e(solution)g(to)h(this)f(problem)g(is)h(to)g(carry)g(out)g
39556 (the)h(fragmen)m(tation)d(b)s(oth)i(from)f(the)0 5128
39557 y(q)e(and)f(the)p 417 5075 V 25 w(q)g(end,)j(suc)m(h)f(that)e(for)g
39558 (eac)m(h)h(new)g(step)g(in)f(the)g(fragmen)m(tation)f(pro)s(cess,)k(a)d
39559 (random)f(c)m(hoice)0 5236 y(is)33 b(made)h(as)g(to)g(from)e(what)i
39560 (side)g(the)h(step)f(is)g(to)f(b)s(e)i(tak)m(en.)48 b(If)34
39561 b(the)g(step)h(is)e(on)h(the)h(q)f(side,)g(then)h Fj(z)0
39562 5344 y Fw(is)d(in)m(terpreted)h(as)f(fraction)f(of)h(the)g(remaining)e
39563 Fj(E)e Fw(+)21 b Fj(p)2057 5359 y Fh(z)2129 5344 y Fw(of)31
39564 b(the)i(system,)g(while)f Fj(z)37 b Fw(is)31 b(in)m(terpreted)i(as)0
39565 5453 y Fj(E)21 b Fn(\000)15 b Fj(p)234 5468 y Fh(z)302
39566 5453 y Fw(fraction)28 b(for)g(a)h(step)h(from)d(the)p
39567 1476 5400 V 30 w(q)i(end.)43 b(A)m(t)29 b(some)g(p)s(oin)m(t,)g(when)h
39568 (the)f(remaining)e(mass)i(of)f(the)0 5561 y(system)j(has)f(dropp)s(ed)h
39569 (b)s(elo)m(w)f(a)f(giv)m(en)i(v)-5 b(alue,)30 b(it)f(is)g(decided)i
39570 (that)f(the)g(next)h(breakup)g(will)d(pro)s(duce)0 5669
39571 y(t)m(w)m(o)35 b(\014nal)f(hadrons,)i(rather)e(than)h(a)f(hadron)h(and)
39572 f(a)h(remainder-system.)49 b(Since)35 b(the)g(momen)m(ta)e(of)1817
39573 5953 y(235)p eop
39574 %%Page: 236 242
39575 236 241 bop 0 -18 a Fw(t)m(w)m(o)33 b(hadrons)g(are)f(to)h(b)s(e)f
39576 (selected,)i(rather)e(than)h(that)f(of)g(one)h(only)-8
39577 b(,)32 b(there)h(are)f(enough)h(degrees)h(of)0 90 y(freedom)e(to)g(ha)m
39578 (v)m(e)i(b)s(oth)f(total)e(energy)i(and)g(total)e(momen)m(tum)g
39579 (completely)h(conserv)m(ed.)146 198 y(The)44 b(mass)f(at)g(whic)m(h)h
39580 (the)f(normal)f(fragmen)m(tation)f(pro)s(cess)j(is)f(stopp)s(ed)h(and)f
39581 (the)g(\014nal)g(t)m(w)m(o)0 307 y(hadrons)34 b(formed)f(is)g(not)g
39582 (actually)g(a)g(free)h(parameter)f(of)g(the)h(mo)s(del:)44
39583 b(it)32 b(is)h(giv)m(en)h(b)m(y)h(the)f(require-)0 415
39584 y(men)m(t)29 b(that)g(the)h(string)f(ev)m(erywhere)j(lo)s(oks)d(the)h
39585 (same,)g(i.e.)41 b(that)30 b(the)f(rapidit)m(y)g(spacing)g(of)g(the)g
39586 (\014nal)0 523 y(t)m(w)m(o)e(hadrons,)i(in)m(ternally)c(and)h(with)h
39587 (resp)s(ect)g(to)g(surrounding)f(hadrons,)j(is)d(the)h(same)f(as)h
39588 (elsewhere)0 632 y(in)32 b(the)i(fragmen)m(tation)d(pro)s(cess.)46
39589 b(The)34 b(stopping)f(mass,)g(for)f(a)h(giv)m(en)g(setup)h(of)f
39590 (fragmen)m(tation)e(pa-)0 740 y(rameters,)25 b(has)f(therefore)g(b)s
39591 (een)g(determined)g(in)e(separate)j(runs.)41 b(If)23
39592 b(the)h(fragmen)m(tation)d(parameters)0 848 y(are)38
39593 b(c)m(hanged,)i(some)d(retuning)h(should)f(b)s(e)h(done)g(but,)i(in)d
39594 (practice,)i(reasonable)e(c)m(hanges)i(can)f(b)s(e)0
39595 957 y(made)32 b(without)g(an)m(y)h(sp)s(ecial)f(arrangemen)m(ts.)146
39596 1065 y(Consider)26 b(a)g(fragmen)m(tation)d(pro)s(cess)k(whic)m(h)f
39597 (has)g(already)g(split)e(o\013)h(a)g(n)m(um)m(b)s(er)h(of)g(hadrons)g
39598 (from)0 1173 y(the)j(q)h(and)p 431 1120 52 4 v 29 w(q)g(sides,)g(lea)m
39599 (ving)e(b)s(ehind)h(a)g(a)g(q)1623 1188 y Fh(i)p 1651
39600 1120 V 1651 1173 a Fw(q)1703 1197 y Fh(j)1768 1173 y
39601 Fw(remainder)f(system.)44 b(When)30 b(this)e(system)i(breaks)h(b)m(y)0
39602 1282 y(the)k(pro)s(duction)f(of)g(a)g(q)915 1297 y Fh(n)p
39603 963 1229 V 963 1282 a Fw(q)1014 1305 y Fh(n)1096 1282
39604 y Fw(pair,)g(it)f(is)h(decided)h(to)g(mak)m(e)f(this)h(pair)e(the)i
39605 (\014nal)f(one,)h(and)g(pro)s(duce)0 1390 y(the)e(last)f(t)m(w)m(o)h
39606 (hadrons)g(q)957 1405 y Fh(i)p 986 1337 V 986 1390 a
39607 Fw(q)1037 1413 y Fh(n)1117 1390 y Fw(and)f(q)1357 1405
39608 y Fh(n)p 1405 1337 V 1405 1390 a Fw(q)1456 1413 y Fh(j)1493
39609 1390 y Fw(,)h(if)958 1610 y(\(\()p Fj(E)28 b Fw(+)22
39610 b Fj(p)1281 1625 y Fh(z)1321 1610 y Fw(\)\()p Fj(E)28
39611 b Fn(\000)22 b Fj(p)1645 1625 y Fh(z)1685 1610 y Fw(\)\))1761
39612 1625 y Fl(remaining)2100 1610 y Fw(=)27 b Fj(W)2309 1569
39613 y Fl(2)2295 1635 y(rem)2445 1610 y Fj(<)g(W)2654 1569
39614 y Fl(2)2640 1635 y(min)2795 1610 y Fj(:)735 b Fw(\(188\))0
39615 1810 y(The)34 b Fj(W)293 1825 y Fl(min)447 1810 y Fw(is)e(calculated)g
39616 (according)g(to)915 2010 y Fj(W)1007 2025 y Fl(min)1156
39617 2010 y Fw(=)c(\()p Fj(W)1390 2025 y Fl(min)n(0)1569 2010
39618 y Fw(+)22 b Fj(m)1752 2025 y Fl(q)p Fh(i)1840 2010 y
39619 Fw(+)g Fj(m)2023 2025 y Fl(q)p Fh(j)2119 2010 y Fw(+)g
39620 Fj(k)e(m)2373 2025 y Fl(q)p Fh(n)2457 2010 y Fw(\))d(\(1)22
39621 b Fn(\006)g Fj(\016)t Fw(\))33 b Fj(:)692 b Fw(\(189\))0
39622 2210 y(Here)31 b Fj(W)320 2225 y Fl(min)o(0)507 2210
39623 y Fw(is)f(the)g(main)f(free)h(parameter,)g(t)m(ypically)f(around)h(1)g
39624 (GeV,)g(determined)g(to)g(giv)m(e)g(a)g(\015at)0 2318
39625 y(rapidit)m(y)25 b(plateau)h(\(separately)h(for)f(eac)m(h)h(particle)e
39626 (sp)s(ecies\),)k(while)c(the)i(default)f Fj(k)k Fw(=)e(2)e(corresp)s
39627 (onds)0 2426 y(to)36 b(the)g(mass)g(of)f(the)h(\014nal)g(pair)e(b)s
39628 (eing)i(tak)m(en)g(fully)f(in)m(to)g(accoun)m(t.)54 b(Smaller)34
39629 b(v)-5 b(alues)36 b(ma)m(y)f(also)g(b)s(e)0 2535 y(considered,)h(dep)s
39630 (ending)f(on)f(what)h(criteria)e(are)i(used)g(to)g(de\014ne)g(the)g(`b)
39631 s(est')h(joining)c(of)i(the)h(q)g(and)0 2643 y(the)p
39632 162 2590 V 27 w(q)27 b(c)m(hain.)41 b(The)28 b(factor)e(1)10
39633 b Fn(\006)g Fj(\016)t Fw(,)28 b(b)m(y)f(default)f(ev)m(enly)i
39634 (distributed)e(b)s(et)m(w)m(een)i(0.8)e(and)h(1.2,)h(signi\014es)e(a)0
39635 2751 y(smearing)c(of)g(the)h Fj(W)754 2766 y Fl(min)898
39636 2751 y Fw(v)-5 b(alue,)25 b(to)d(a)m(v)m(oid)h(an)f(abrupt)h(and)g
39637 (unph)m(ysical)g(cut-o\013)f(in)g(the)h(in)m(v)-5 b(arian)m(t)22
39638 b(mass)0 2860 y(distribution)36 b(of)i(the)h(\014nal)e(t)m(w)m(o)i
39639 (hadrons.)61 b(Still,)37 b(this)h(distribution)e(will)g(b)s(e)j
39640 (somewhat)f(di\013eren)m(t)0 2968 y(from)30 b(that)i(of)f(an)m(y)h(t)m
39641 (w)m(o)g(adjacen)m(t)g(hadrons)g(elsewhere.)45 b(Due)32
39642 b(to)f(the)h(cut)g(there)g(will)d(b)s(e)j(no)g(tail)d(up)0
39643 3077 y(to)37 b(v)m(ery)j(high)c(masses;)42 b(there)c(are)g(also)e(few)m
39644 (er)j(ev)m(en)m(ts)h(close)e(to)f(the)h(lo)m(w)m(er)g(limit,)e(where)j
39645 (the)f(t)m(w)m(o)0 3185 y(hadrons)33 b(are)g(formed)f(at)g(rest)h(with)
39646 f(resp)s(ect)i(to)e(eac)m(h)i(other.)146 3293 y(This)i(pro)s(cedure)h
39647 (do)s(es)f(not)f(w)m(ork)h(all)e(that)h(w)m(ell)g(for)g(hea)m(vy)i
39648 (\015a)m(v)m(ours,)h(since)e(it)e(do)s(es)i(not)g(fully)0
39649 3402 y(tak)m(e)e(in)m(to)e(accoun)m(t)i(the)f(harder)g(fragmen)m
39650 (tation)f(function)g(encoun)m(tered.)47 b(Therefore,)34
39651 b(in)e(addition)0 3510 y(to)23 b(the)i(c)m(hec)m(k)h(ab)s(o)m(v)m(e,)g
39652 (one)e(further)g(test)h(is)e(p)s(erformed)h(for)f(c)m(harm)g(and)h(hea)
39653 m(vier)h(\015a)m(v)m(ours,)i(as)d(follo)m(ws.)0 3618
39654 y(If)i(the)h(c)m(hec)m(k)h(ab)s(o)m(v)m(e)f(allo)m(ws)e(more)g
39655 (particle)g(pro)s(duction,)i(a)f(hea)m(vy)i(hadron)e(q)2887
39656 3633 y Fh(i)p 2915 3565 V 2915 3618 a Fw(q)2967 3642
39657 y Fh(n)3040 3618 y Fw(is)g(formed,)g(lea)m(ving)0 3727
39658 y(a)38 b(remainder)f(q)604 3742 y Fh(n)p 651 3674 V 651
39659 3727 a Fw(q)703 3750 y Fh(j)739 3727 y Fw(.)60 b(The)39
39660 b(range)f(of)g(allo)m(w)m(ed)f Fj(z)43 b Fw(v)-5 b(alues,)39
39661 b(i.e.)60 b(the)38 b(fraction)f(of)g(remaining)f Fj(E)c
39662 Fw(+)26 b Fj(p)3740 3742 y Fh(z)0 3835 y Fw(that)i(ma)m(y)g(b)s(e)g
39663 (tak)m(en)h(b)m(y)g(the)g(q)1149 3850 y Fh(i)p 1177 3782
39664 V 1177 3835 a Fw(q)1229 3858 y Fh(n)1304 3835 y Fw(hadron,)g(is)e
39665 (constrained)i(a)m(w)m(a)m(y)g(from)e(0)h(and)g(1)g(b)m(y)h(the)f(q)
39666 3417 3850 y Fh(i)p 3446 3782 V 3446 3835 a Fw(q)3498
39667 3858 y Fh(n)3573 3835 y Fw(mass)0 3943 y(and)f(minimal)c(mass)k(of)g
39668 (the)g(q)1111 3958 y Fh(n)p 1159 3890 V 1159 3943 a Fw(q)1210
39669 3967 y Fh(j)1274 3943 y Fw(system.)43 b(The)28 b(limits)c(of)j(the)g
39670 (ph)m(ysical)g Fj(z)32 b Fw(range)27 b(is)g(obtained)f(when)0
39671 4052 y(the)42 b(q)228 4067 y Fh(n)p 276 3999 V 276 4052
39672 a Fw(q)327 4075 y Fh(j)406 4052 y Fw(system)g(only)g(consists)h(of)e
39673 (one)h(single)f(particle,)i(whic)m(h)f(then)h(has)f(a)g(w)m
39674 (ell-determined)0 4197 y(transv)m(erse)c(mass)d Fj(m)792
39675 4146 y Fl(\(0\))792 4222 y Fk(?)887 4197 y Fw(.)53 b(F)-8
39676 b(rom)34 b(the)i Fj(z)k Fw(v)-5 b(alue)36 b(obtained)f(with)g(the)h
39677 (in\014nite-energy)f(fragmen)m(tation)0 4305 y(function)d(form)m(ulae,)
39678 f(a)h(rescaled)i Fj(z)1310 4269 y Fk(0)1366 4305 y Fw(v)-5
39679 b(alue)32 b(b)s(et)m(w)m(een)j(these)f(limits)29 b(is)j(giv)m(en)h(b)m
39680 (y)58 4649 y Fj(z)107 4608 y Fk(0)159 4649 y Fw(=)272
39681 4581 y(1)p 272 4626 49 4 v 272 4717 a(2)348 4425 y Fg(8)348
39682 4499 y(>)348 4524 y(>)348 4549 y(<)348 4699 y(>)348 4723
39683 y(>)348 4748 y(:)422 4649 y Fw(1)21 b(+)602 4581 y Fj(m)687
39684 4545 y Fl(2)687 4606 y Fk(?)p Fh(in)p 600 4626 214 4
39685 v 600 4717 a Fj(W)706 4688 y Fl(2)692 4742 y(rem)846
39686 4649 y Fn(\000)956 4574 y Fj(m)1041 4523 y Fl(\(0\)2)1041
39687 4599 y Fk(?)p Fh(nj)p 956 4626 220 4 v 959 4717 a Fj(W)1065
39688 4688 y Fl(2)1051 4742 y(rem)1208 4649 y Fw(+)1306 4435
39689 y Fg(v)1306 4482 y(u)1306 4532 y(u)1306 4582 y(u)1306
39690 4631 y(t)p 1393 4435 1595 4 v 1393 4478 a(0)1393 4627
39691 y(@)1466 4649 y Fw(1)h Fn(\000)1648 4581 y Fj(m)1733
39692 4547 y Fl(2)1733 4606 y Fk(?)p Fh(in)p 1647 4626 214
39693 4 v 1647 4717 a Fj(W)1753 4688 y Fl(2)1739 4742 y(rem)1893
39694 4649 y Fn(\000)2002 4574 y Fj(m)2087 4523 y Fl(\(0\)2)2087
39695 4599 y Fk(?)p Fh(nj)p 2002 4626 220 4 v 2005 4717 a Fj(W)2111
39696 4688 y Fl(2)2097 4742 y(rem)2232 4478 y Fg(1)2232 4627
39697 y(A)2304 4500 y Fl(2)2366 4649 y Fn(\000)g Fw(4)2525
39698 4581 y Fj(m)2610 4547 y Fl(2)2610 4606 y Fk(?)p Fh(in)p
39699 2524 4626 214 4 v 2524 4717 a Fj(W)2630 4688 y Fl(2)2616
39700 4742 y(rem)2758 4574 y Fj(m)2843 4523 y Fl(\(0\)2)2843
39701 4599 y Fk(?)p Fh(nj)p 2758 4626 220 4 v 2761 4717 a Fj(W)2867
39702 4688 y Fl(2)2853 4742 y(rem)3004 4649 y Fw(\(2)p Fj(z)27
39703 b Fn(\000)22 b Fw(1\))3349 4425 y Fg(9)3349 4499 y(>)3349
39704 4524 y(>)3349 4549 y(=)3349 4699 y(>)3349 4723 y(>)3349
39705 4748 y(;)3472 4649 y Fj(:)58 b Fw(\(190\))0 5024 y(F)-8
39706 b(rom)35 b(the)i Fj(z)481 4988 y Fk(0)542 5024 y Fw(v)-5
39707 b(alue,)37 b(the)g(actual)f(transv)m(erse)i(mass)f Fj(m)2089
39708 5039 y Fk(?)p Fh(nj)2258 5024 y Fn(\025)e Fj(m)2455 4973
39709 y Fl(\(0\))2455 5049 y Fk(?)p Fh(nj)2626 5024 y Fw(of)h(the)h(q)2964
39710 5039 y Fh(n)p 3012 4971 52 4 v 3012 5024 a Fw(q)3063
39711 5047 y Fh(j)3136 5024 y Fw(system)h(ma)m(y)e(b)s(e)0
39712 5132 y(calculated.)41 b(F)-8 b(or)26 b(more)g(than)g(one)h(particle)f
39713 (to)g(b)s(e)h(pro)s(duced)h(out)e(of)h(this)f(system,)j(the)e
39714 (requiremen)m(t)689 5401 y Fj(m)774 5360 y Fl(2)774 5425
39715 y Fk(?)p Fh(nj)936 5401 y Fw(=)h(\(1)22 b Fn(\000)g Fj(z)1297
39716 5360 y Fk(0)1321 5401 y Fw(\))1392 5255 y Fg( )1458 5401
39717 y Fj(W)1564 5360 y Fl(2)1550 5425 y(rem)1694 5401 y Fn(\000)1804
39718 5333 y Fj(m)1889 5297 y Fl(2)1889 5358 y Fk(?)p Fh(in)p
39719 1804 5377 212 4 v 1873 5469 a Fj(z)1922 5440 y Fk(0)2025
39720 5255 y Fg(!)2118 5401 y Fj(>)28 b Fw(\()p Fj(m)2345 5416
39721 y Fh(q)r(j)2438 5401 y Fw(+)22 b Fj(W)2628 5416 y Fl(min)o(0)2785
39722 5401 y Fw(\))2823 5360 y Fl(2)2884 5401 y Fw(+)g Fj(p)3031
39723 5360 y Fl(2)3031 5425 y Fk(?)3557 5401 y Fw(\(191\))0
39724 5669 y(has)33 b(to)f(b)s(e)h(ful\014lled.)41 b(If)33
39725 b(not,)f(the)h(q)1330 5684 y Fh(n)p 1378 5616 52 4 v
39726 1378 5669 a Fw(q)1429 5693 y Fh(j)1498 5669 y Fw(system)h(is)e(assumed)
39727 h(to)g(collapse)e(to)h(one)h(single)f(particle.)1817
39728 5953 y(236)p eop
39729 %%Page: 237 243
39730 237 242 bop 146 -18 a Fw(The)29 b(consequence)i(of)c(the)h(pro)s
39731 (cedure)h(ab)s(o)m(v)m(e)g(is)e(that,)i(the)f(more)f(the)h(in\014nite)f
39732 (energy)i(fragmen-)0 90 y(tation)i(function)g Fj(f)11
39733 b Fw(\()p Fj(z)t Fw(\))33 b(is)e(p)s(eak)m(ed)j(close)e(to)g
39734 Fj(z)g Fw(=)c(1,)k(the)g(more)f(lik)m(ely)g(it)g(is)h(that)g(only)g(t)m
39735 (w)m(o)g(particles)0 198 y(are)e(pro)s(duced.)44 b(In)30
39736 b(particular,)f(for)h(t)p 1402 127 38 4 v(t)g(systems,)i(where)g(v)m
39737 (ery)g(large)d Fn(h)p Fj(z)t Fn(i)h Fw(v)-5 b(alues)30
39738 b(are)h(predicted,)g(the)0 307 y(exp)s(ectation)h(is)g(that)f(t)m(w)m
39739 (o)i(particle)e(\014nal)g(states)i(will)c(dominate)i(far)g(ab)s(o)m(v)m
39740 (e)i(the)f(threshold)g(region.)0 415 y(The)f(pro)s(cedure)g(ab)s(o)m(v)
39741 m(e)f(has)h(b)s(een)f(constructed)i(so)e(that)g(the)g(t)m(w)m(o)h
39742 (particle)d(fraction)h(can)h(b)s(e)g(calcu-)0 523 y(lated)g(directly)g
39743 (from)g(the)h(shap)s(e)h(of)e Fj(f)11 b Fw(\()p Fj(z)t
39744 Fw(\))32 b(and)f(the)g(\(appro)m(ximate\))f(mass)g(sp)s(ectrum,)i(but)f
39745 (it)f(is)h(not)0 632 y(unique.)53 b(F)-8 b(or)35 b(the)g(symmetric)g
39746 (Lund)h(fragmen)m(tation)e(function,)i(a)f(n)m(um)m(b)s(er)h(of)f
39747 (alternativ)m(es)g(tried)0 740 y(all)e(giv)m(e)j(essen)m(tially)f(the)h
39748 (same)g(result,)g(whereas)h(other)f(fragmen)m(tation)d(functions)j(ma)m
39749 (y)f(b)s(e)h(more)0 848 y(sensitiv)m(e)d(to)g(details.)146
39750 957 y(Assume)39 b(no)m(w)f(that)f(t)m(w)m(o)i(\014nal)d(hadrons)i(ha)m
39751 (v)m(e)h(b)s(een)g(pic)m(k)m(ed.)59 b(If)38 b(the)g(transv)m(erse)h
39752 (mass)f(of)f(the)0 1065 y(remainder-system)d(is)f(smaller)g(than)h(the)
39753 g(sum)g(of)g(transv)m(erse)i(masses)f(of)f(the)h(\014nal)e(t)m(w)m(o)i
39754 (hadrons,)0 1173 y(the)g(whole)g(fragmen)m(tation)e(c)m(hain)i(is)f
39755 (rejected,)j(and)e(started)g(o)m(v)m(er)h(from)e(the)h(q)h(and)p
39756 3254 1120 52 4 v 35 w(q)f(endp)s(oin)m(ts.)0 1282 y(This)f(do)s(es)g
39757 (not)f(in)m(tro)s(duce)h(an)m(y)g(signi\014can)m(t)f(bias,)g(since)h
39758 (the)g(decision)f(to)g(reject)h(a)f(fragmen)m(tation)0
39759 1390 y(c)m(hain)24 b(only)h(dep)s(ends)h(on)e(what)h(happ)s(ens)h(in)e
39760 (the)h(v)m(ery)h(last)e(step,)j(sp)s(eci\014cally)d(that)g(the)i
39761 (next-to-last)0 1498 y(step)33 b(to)s(ok)g(a)m(w)m(a)m(y)h(to)s(o)d(m)m
39762 (uc)m(h)i(energy)-8 b(,)34 b(and)f(not)f(on)h(what)f(happ)s(ened)i(in)e
39763 (the)h(steps)h(b)s(efore)f(that.)146 1607 y(If,)c(on)g(the)f(other)h
39764 (hand,)g(the)g(remainder-mass)e(is)h(large)f(enough,)i(there)g(are)g(t)
39765 m(w)m(o)f(kinematically)0 1715 y(allo)m(w)m(ed)46 b(solutions)f(for)i
39766 (the)g(\014nal)e(t)m(w)m(o)j(hadrons:)72 b(the)47 b(t)m(w)m(o)g(mirror)
39767 e(images)g(in)h(the)h(rest)g(frame)0 1823 y(of)c(the)g
39768 (remainder-system.)75 b(Also)43 b(the)g(c)m(hoice)h(b)s(et)m(w)m(een)h
39769 (these)f(t)m(w)m(o)g(solutions)e(is)h(giv)m(en)g(b)m(y)h(the)0
39770 1932 y(consistency)f(requiremen)m(ts,)g(and)e(can)h(b)s(e)f(deriv)m(ed)
39771 g(from)f(studies)h(of)g(in\014nite)f(energy)i(jets.)69
39772 b(The)0 2040 y(probabilit)m(y)42 b(for)i(the)h(rev)m(erse)i(ordering,)g
39773 (i.e.)78 b(where)46 b(the)f(rapidit)m(y)e(and)i(the)f(\015a)m(v)m(our)i
39774 (orderings)0 2148 y(disagree,)33 b(is)f(parametrized)f(b)m(y)1234
39775 2401 y Fn(P)1303 2416 y Fl(rev)n(erse)1547 2401 y Fw(=)1661
39776 2334 y(1)p 1661 2378 49 4 v 1661 2469 a(2)1736 2280 y
39777 Fg(\022)1807 2334 y Fj(m)1892 2349 y Fk(?)p Fh(in)2040
39778 2334 y Fw(+)22 b Fj(m)2223 2349 y Fk(?)p Fh(nj)p 1807
39779 2378 551 4 v 1976 2469 a Fj(W)2068 2484 y Fl(rem)2368
39780 2280 y Fg(\023)2429 2302 y Fh(d)2519 2401 y Fj(:)1011
39781 b Fw(\(192\))0 2642 y(F)-8 b(or)30 b(symmetric)h(fragmen)m(tation,)f
39782 (the)h(ordering)g(is)g(exp)s(ected)i(to)e(b)s(e)g(increasingly)g
39783 (strict)g(when)h(the)0 2750 y(particles)37 b(in)m(v)m(olv)m(ed)h(are)g
39784 (more)e(massiv)m(e.)59 b(In)38 b(the)g(program)f(it)f(is)h(therefore)i
39785 (assumed)f(that)f Fj(d)h Fw(is)f(a)0 2859 y(function)32
39786 b(of)g(the)h(masses,)h Fj(d)27 b Fw(=)h Fj(d)1243 2874
39787 y Fl(0)1282 2859 y Fw(\()p Fj(m)1405 2874 y Fk(?)p Fh(in)1553
39788 2859 y Fw(+)22 b Fj(m)1736 2874 y Fk(?)p Fh(nj)1871 2859
39789 y Fw(\))1909 2822 y Fl(2)1948 2859 y Fw(,)33 b(where)g
39790 Fj(d)2340 2874 y Fl(0)2412 2859 y Fw(is)f(a)g(free)h(parameter.)146
39791 2967 y(When)38 b(bary)m(on)f(pro)s(duction)f(is)g(included,)h(some)g
39792 (particular)e(problems)g(arise.)56 b(First)35 b(consider)0
39793 3075 y Fj(B)p 79 2997 80 4 v 5 w(B)46 b Fw(situations.)69
39794 b(In)41 b(the)h(na)-11 b(\177)-38 b(\020v)m(e)42 b(iterativ)m(e)e(sc)m
39795 (heme,)45 b(a)m(w)m(a)m(y)d(from)e(the)i(middle)d(of)i(the)h(ev)m(en)m
39796 (t,)j(one)0 3184 y(already)31 b(has)h(a)g(quark)h(and)e(is)h(to)f(c)m
39797 (hose)i(a)f(matc)m(hing)e(diquark)i(\015a)m(v)m(our)h(or)e(the)h(other)
39798 g(w)m(a)m(y)h(around.)0 3292 y(In)28 b(either)f(case)h(the)f(c)m(hoice)
39799 h(of)f(the)h(new)g(\015a)m(v)m(our)g(can)f(b)s(e)h(done)g(taking)e(in)m
39800 (to)h(accoun)m(t)h(the)f(n)m(um)m(b)s(er)h(of)0 3400
39801 y Fo(SU\(6\))d Fw(states)g(a)m(v)-5 b(ailable)23 b(for)h(the)i
39802 (quark-diquark)f(com)m(bination.)39 b(F)-8 b(or)24 b(a)h(case)h(where)g
39803 (the)f(\014nal)g(q)3634 3415 y Fh(n)p 3681 3347 52 4
39804 v 3681 3400 a Fw(q)3733 3424 y Fh(n)0 3509 y Fw(breakup)30
39805 b(is)e(an)g(an)m(tidiquark-diquark)g(one,)i(the)f(w)m(eigh)m(ts)g(for)g
39806 (forming)d(q)2738 3524 y Fh(i)p 2767 3456 V 2767 3509
39807 a Fw(q)2818 3532 y Fh(n)2894 3509 y Fw(and)i(q)3130 3524
39808 y Fh(n)p 3178 3456 V 3178 3509 a Fw(q)3229 3532 y Fh(i)3286
39809 3509 y Fw(en)m(ter)i(at)e(the)0 3617 y(same)j(time,)f(ho)m(w)m(ev)m
39810 (er.)46 b(W)-8 b(e)32 b(do)f(not)g(kno)m(w)i(ho)m(w)f(to)f(handle)g
39811 (this)g(problem;)f(what)i(is)f(done)h(is)f(to)g(use)0
39812 3725 y(w)m(eigh)m(ts)j(as)e(usual)h(for)f(the)h(q)1091
39813 3740 y Fh(i)p 1120 3673 V 1120 3725 a Fw(q)1171 3749
39814 y Fh(n)1251 3725 y Fw(bary)m(on)g(to)f(select)i(q)2013
39815 3740 y Fh(n)2060 3725 y Fw(,)f(but)g(then)g(consider)g(q)2952
39816 3740 y Fh(n)p 3000 3673 V 3000 3725 a Fw(q)3051 3749
39817 y Fh(i)3112 3725 y Fw(as)g(giv)m(en)g(\(or)f(the)0 3834
39818 y(other)e(w)m(a)m(y)i(around)e(with)g(equal)g(probabilit)m(y\).)40
39819 b(If)30 b(q)1970 3849 y Fh(n)p 2018 3781 V 2018 3834
39820 a Fw(q)2069 3857 y Fh(i)2127 3834 y Fw(turns)h(out)f(to)g(b)s(e)g(an)g
39821 (an)m(tidiquark-diquark)0 3942 y(com)m(bination,)25 b(the)i(whole)e
39822 (fragmen)m(tation)f(c)m(hain)i(is)f(rejected,)k(since)d(w)m(e)h(do)f
39823 (not)g(kno)m(w)h(ho)m(w)f(to)g(form)0 4050 y(corresp)s(onding)36
39824 b(hadrons.)55 b(A)36 b(similar)d(problem)i(arises,)i(and)g(is)e(solv)m
39825 (ed)i(in)f(the)g(same)g(spirit,)g(for)g(a)0 4159 y Fj(B)5
39826 b(M)p 183 4081 80 4 v 10 w(B)39 b Fw(con\014guration)32
39827 b(in)h(whic)m(h)h(the)f Fj(B)38 b Fw(\(or)p 1720 4081
39828 V 33 w Fj(B)5 b Fw(\))33 b(w)m(as)h(c)m(hosen)h(as)f(third-last)d
39829 (particle.)44 b(When)34 b(only)0 4277 y(t)m(w)m(o)g(particles)e(remain)
39830 g(to)h(b)s(e)h(generated,)g(it)e(is)h(ob)m(viously)g(to)s(o)g(late)f
39831 (to)h(consider)g(ha)m(ving)g(a)g Fj(B)5 b(M)p 3699 4199
39832 V 10 w(B)0 4385 y Fw(con\014guration.)60 b(This)39 b(is)f(as)h(it)e
39833 (should,)j(ho)m(w)m(ev)m(er,)j(as)c(can)f(b)s(e)h(found)g(b)m(y)g(lo)s
39834 (oking)e(at)h(all)e(p)s(ossible)0 4493 y(w)m(a)m(ys)e(a)f(hadron)f(of)g
39835 (giv)m(en)h(rank)g(can)g(b)s(e)g(a)f(bary)m(on.)146 4602
39836 y(While)i(some)h(practical)f(compromises)g(ha)m(v)m(e)i(to)f(b)s(e)g
39837 (accepted)i(in)d(the)h(joining)e(pro)s(cedure,)k(the)0
39838 4710 y(fact)d(that)g(the)g(joining)e(tak)m(es)j(place)f(in)f
39839 (di\013eren)m(t)h(parts)g(of)g(the)g(string)g(in)f(di\013eren)m(t)h(ev)
39840 m(en)m(ts)i(means)0 4818 y(that,)c(in)g(the)h(end,)h(essen)m(tially)e
39841 (no)g(visible)g(e\013ects)h(remain.)0 5063 y Fo(12.2.3)113
39842 b(String)36 b(motion)g(and)i(infrared)g(stabilit)m(y)0
39843 5236 y Fw(W)-8 b(e)37 b(ha)m(v)m(e)i(no)m(w)f(discussed)g(the)g(SF)f
39844 (sc)m(heme)h(for)f(the)g(fragmen)m(tation)e(of)i(a)g(simple)e(q)p
39845 3224 5183 52 4 v(q)j(jet)f(system.)0 5344 y(In)42 b(order)g(to)f
39846 (understand)i(ho)m(w)g(these)g(results)f(generalize)f(to)g(arbitrary)g
39847 (jet)h(systems,)j(it)c(is)g(\014rst)0 5453 y(necessary)50
39848 b(to)e(understand)h(the)f(string)f(motion)f(for)i(the)g(case)h(when)g
39849 (no)e(fragmen)m(tation)f(tak)m(es)0 5561 y(place.)d(In)33
39850 b(the)g(follo)m(wing)d(w)m(e)j(will)e(assume)i(that)f(quarks)i(as)f(w)m
39851 (ell)e(as)i(gluons)f(are)h(massless,)g(but)g(all)0 5669
39852 y(argumen)m(ts)g(can)g(b)s(e)f(generalized)g(to)h(massiv)m(e)f(quarks)i
39853 (without)e(to)s(o)g(m)m(uc)m(h)h(problem.)1817 5953 y(237)p
39854 eop
39855 %%Page: 238 244
39856 238 243 bop 146 -18 a Fw(F)-8 b(or)44 b(a)g(q)p 477 -71
39857 52 4 v(q)h(ev)m(en)m(t)h(view)m(ed)g(in)d(the)i(c.m.)79
39858 b(frame,)46 b(with)e(total)f(energy)i Fj(W)14 b Fw(,)47
39859 b(the)e(partons)f(start)0 90 y(mo)m(ving)f(out)h(bac)m(k-to-bac)m(k,)k
39860 (carrying)c(half)f(the)i(energy)g(eac)m(h.)80 b(As)45
39861 b(they)g(mo)m(v)m(e)g(apart,)h(energy)0 198 y(and)41
39862 b(momen)m(tum)e(is)h(lost)g(to)h(the)g(string.)67 b(When)42
39863 b(the)f(partons)g(are)g(a)g(distance)g Fj(W)s(=\024)f
39864 Fw(apart,)j(all)0 307 y(the)k(energy)g(is)e(stored)i(in)e(the)i
39865 (string.)84 b(The)47 b(partons)f(no)m(w)h(turn)f(around)g(and)g(come)g
39866 (together)0 415 y(again)38 b(with)h(the)h(original)c(momen)m(tum)h(v)m
39867 (ectors)k(rev)m(ersed.)66 b(This)40 b(corresp)s(onds)g(to)f(half)g(a)g
39868 (p)s(erio)s(d)0 523 y(of)k(the)h(full)d(string)i(motion;)j(the)e
39869 (second)h(half)d(the)i(pro)s(cess)g(is)f(rep)s(eated,)k(mirror-imaged.)
39870 71 b(F)-8 b(or)0 632 y(further)45 b(generalizations)d(to)i(m)m
39871 (ultiparton)e(systems,)49 b(a)44 b(con)m(v)m(enien)m(t)j(description)d
39872 (of)g(the)g(energy)0 740 y(and)30 b(momen)m(tum)f(\015o)m(w)i(is)f(giv)
39873 m(en)h(in)e(terms)i(of)f(`genes')h([Art83],)g(in\014nitesimal)c(pac)m
39874 (k)m(ets)33 b(of)c(the)i(four-)0 848 y(momen)m(tum)c(giv)m(en)h(up)h(b)
39875 m(y)g(the)f(partons)h(to)e(the)i(string.)41 b(Genes)29
39876 b(with)f Fj(p)2680 863 y Fh(z)2748 848 y Fw(=)f Fj(E)6
39877 b Fw(,)29 b(emitted)f(from)e(the)j(q)0 957 y(end)j(in)g(the)g(initial)c
39878 (stages)k(of)g(the)g(string)f(motion)f(ab)s(o)m(v)m(e,)j(will)c(mo)m(v)
39879 m(e)j(in)f(the)p 2934 904 V 33 w(q)h(direction)f(with)g(the)0
39880 1065 y(sp)s(eed)d(of)e(ligh)m(t,)g(whereas)j(genes)e(with)g
39881 Fj(p)1499 1080 y Fh(z)1566 1065 y Fw(=)h Fn(\000)p Fj(E)33
39882 b Fw(giv)m(en)27 b(up)g(b)m(y)g(the)p 2528 1012 V 28
39883 w(q)g(will)d(mo)m(v)m(e)j(in)f(the)h(q)g(direction.)0
39884 1173 y(Th)m(us,)42 b(in)c(this)g(simple)f(case,)k(the)f(direction)d(of)
39885 h(motion)f(for)h(a)g(gene)i(is)e(just)h(opp)s(osite)f(to)g(that)h(of)0
39886 1282 y(a)e(free)h(particle)e(with)i(the)g(same)f(four-momen)m(tum.)56
39887 b(This)38 b(is)f(due)h(to)f(the)h(string)f(tension.)59
39888 b(If)37 b(the)0 1390 y(system)31 b(is)e(not)h(view)m(ed)h(in)e(the)h
39889 (c.m.)42 b(frame,)30 b(the)g(rules)g(are)g(that)f(an)m(y)i(parton)f
39890 (giv)m(es)g(up)g(genes)h(with)0 1498 y(four-momen)m(tum)i(prop)s
39891 (ortional)f(to)j(its)g(o)m(wn)h(four-momen)m(tum,)d(but)j(the)f
39892 (direction)f(of)h(motion)e(of)0 1607 y(an)m(y)28 b(gene)h(is)e(giv)m
39893 (en)h(b)m(y)h(the)f(momen)m(tum)e(direction)h(of)g(the)h(genes)h(it)e
39894 (meets,)i(i.e.)42 b(that)27 b(w)m(ere)i(emitted)0 1715
39895 y(b)m(y)39 b(the)g(parton)f(at)f(the)i(other)f(end)h(of)f(that)g
39896 (particular)e(string)i(piece.)60 b(When)39 b(the)g(q)g(has)f(lost)g
39897 (all)0 1823 y(its)h(energy)-8 b(,)43 b(the)p 658 1770
39898 V 40 w(q)d(genes,)j(whic)m(h)d(b)s(efore)g(could)f(not)h(catc)m(h)g(up)
39899 g(with)g(q,)i(start)d(impinging)e(on)i(it,)0 1932 y(and)31
39900 b(the)h(q)f(is)g(pulled)f(bac)m(k,)i(accreting)p 1494
39901 1879 V 31 w(q)g(genes)g(in)e(the)i(pro)s(cess.)44 b(When)32
39902 b(the)g(q)f(and)p 3212 1879 V 31 w(q)h(meet)f(in)f(the)0
39903 2040 y(origin)g(again,)i(they)h(ha)m(v)m(e)h(completely)d(traded)i
39904 (genes)h(with)e(resp)s(ect)i(to)e(the)h(initial)c(situation.)146
39905 2148 y(A)c(3-jet)f(q)p 512 2096 V(q)q(g)i(ev)m(en)m(t)h(initially)20
39906 b(corresp)s(onds)26 b(to)f(ha)m(ving)f(a)h(string)f(piece)h(stretc)m
39907 (hed)h(b)s(et)m(w)m(een)h(q)e(and)0 2257 y(g)38 b(and)f(another)h(b)s
39908 (et)m(w)m(een)h(g)f(and)p 1306 2204 V 37 w(q)q(.)57 b(Gluon)35
39909 b(four-momen)m(tum)g(genes)j(are)f(th)m(us)i(\015o)m(wing)d(to)m(w)m
39910 (ards)0 2365 y(the)e(q)f(and)p 444 2312 V 34 w(q.)45
39911 b(Corresp)s(ondingly)-8 b(,)33 b(q)h(and)p 1594 2312
39912 V 33 w(q)g(genes)g(are)f(\015o)m(wing)g(to)m(w)m(ards)i(the)e(g)q(.)46
39913 b(When)34 b(the)f(gluon)0 2473 y(has)27 b(lost)e(all)f(its)i(energy)-8
39914 b(,)28 b(the)f(g)g(genes)g(con)m(tin)m(ue)g(mo)m(ving)e(apart,)i(and)f
39915 (instead)h(a)e(third)h(string)f(region)0 2582 y(is)30
39916 b(formed)g(in)g(the)h(`middle')f(of)g(the)h(total)e(string,)i
39917 (consisting)f(of)g(o)m(v)m(erlapping)g(q)h(and)p 3231
39918 2529 V 31 w(q)h(genes.)44 b(The)0 2690 y(t)m(w)m(o)34
39919 b(`corners')g(on)f(the)h(string,)e(separating)h(the)g(three)h(string)f
39920 (regions,)g(are)g(not)g(of)f(the)i(gluon-kink)0 2798
39921 y(t)m(yp)s(e:)44 b(they)34 b(do)e(not)h(carry)g(an)m(y)g(momen)m(tum.)
39922 146 2907 y(If)j(this)f(third)g(region)g(w)m(ould)h(only)f(app)s(ear)g
39923 (at)h(a)f(time)g(later)f(than)i(the)g(t)m(ypical)f(time)f(scale)i(for)0
39924 3015 y(fragmen)m(tation,)c(it)h(could)g(not)h(a\013ect)g(the)g(sharing)
39925 f(of)h(energy)g(b)s(et)m(w)m(een)i(di\013eren)m(t)e(particles.)46
39926 b(This)0 3123 y(is)e(true)g(in)f(the)i(limit)c(of)i(high)h(energy)-8
39927 b(,)48 b(w)m(ell)43 b(separated)i(partons.)78 b(F)-8
39928 b(or)44 b(a)g(small)d(gluon)i(energy)-8 b(,)0 3232 y(on)36
39929 b(the)h(other)g(hand,)h(the)f(third)f(string)f(region)h(app)s(ears)h
39930 (early)-8 b(,)37 b(and)f(the)h(o)m(v)m(erall)f(dra)m(wing)g(of)g(the)0
39931 3340 y(string)29 b(b)s(ecomes)i(fairly)d(2-jet-lik)m(e,)h(since)h(the)h
39932 (third)e(string)h(region)f(consists)i(of)e(q)i(and)p
39933 3283 3287 V 30 w(q)f(genes)h(and)0 3448 y(therefore)25
39934 b(b)s(eha)m(v)m(es)i(exactly)e(as)f(a)g(sting)g(pulled)g(out)g
39935 (directly)g(b)s(et)m(w)m(een)j(the)e(q)f(and)p 3083 3396
39936 V 25 w(q)q(.)40 b(In)25 b(the)g(limit)c(of)0 3557 y(v)-5
39937 b(anishing)28 b(gluon)g(energy)-8 b(,)30 b(the)g(t)m(w)m(o)f(initial)c
39938 (string)k(regions)f(collapse)g(to)h(naugh)m(t,)h(and)f(the)g(ordinary)0
39939 3665 y(2-jet)35 b(ev)m(en)m(t)i(is)d(reco)m(v)m(ered.)54
39940 b(Also)35 b(for)g(a)f(collinear)f(gluon,)i(i.e.)51 b
39941 Fj(\022)2433 3680 y Fl(qg)2547 3665 y Fw(\(or)34 b Fj(\022)p
39942 2751 3642 38 4 v 15 x Fl(q)q(g)2830 3665 y Fw(\))h(small,)e(the)j
39943 (stretc)m(hing)0 3774 y(b)s(ecomes)i(2-jet-lik)m(e.)58
39944 b(In)38 b(particular,)g(the)g(q)g(string)g(endp)s(oin)m(t)f(\014rst)i
39945 (mo)m(v)m(es)f(out)g(a)g(distance)g Fo(p)3633 3789 y
39946 Fl(q)3675 3774 y Fj(=\024)0 3882 y Fw(losing)d(genes)j(to)e(the)h
39947 (string,)g(and)g(then)g(a)f(further)h(distance)g Fo(p)2433
39948 3897 y Fl(g)2474 3882 y Fj(=\024)p Fw(,)g(a)g(\014rst)g(half)e
39949 (accreting)h(genes)0 3990 y(from)e(the)i(g)h(and)f(the)g(second)h(half)
39950 d(re-emitting)f(them.)52 b(\(This)36 b(latter)e(half)h(actually)f
39951 (includes)h(y)m(et)0 4099 y(another)e(string)f(piece;)h(a)g(corresp)s
39952 (onding)f(piece)h(app)s(ears)g(at)g(the)p 2507 4046 52
39953 4 v 33 w(q)g(end,)h(suc)m(h)g(that)f(half)e(a)i(p)s(erio)s(d)0
39954 4207 y(of)27 b(the)h(system)h(in)m(v)m(olv)m(es)f(\014v)m(e)h
39955 (di\013eren)m(t)f(string)f(regions.\))42 b(The)28 b(end)h(result)e(is,)
39956 h(appro)m(ximately)-8 b(,)28 b(that)0 4315 y(a)h(string)g(is)g(dra)m
39957 (wn)h(out)f(as)g(if)f(there)j(had)e(only)g(b)s(een)h(a)f(single)f
39958 (parton)h(with)g(energy)h Fn(j)p Fo(p)3256 4330 y Fl(q)3313
39959 4315 y Fw(+)15 b Fo(p)3466 4330 y Fl(g)3507 4315 y Fn(j)p
39960 Fw(,)30 b(suc)m(h)0 4424 y(that)37 b(the)h(simple)e(2-jet)g(ev)m(en)m
39961 (t)k(again)c(is)h(reco)m(v)m(ered)i(in)e(the)h(limit)33
39962 b Fj(\022)2567 4439 y Fl(qg)2681 4424 y Fn(!)j Fw(0.)58
39963 b(These)39 b(prop)s(erties)e(of)0 4532 y(the)i(string)f(motion)e(are)j
39964 (the)g(reason)g(wh)m(y)h(the)f(string)f(fragmen)m(tation)e(sc)m(heme)k
39965 (is)e(`infrared)g(safe')0 4640 y(with)32 b(resp)s(ect)i(to)e(soft)h(or)
39966 f(collinear)e(gluon)i(emission.)146 4749 y(The)j(discussions)f(for)f
39967 (the)g(3-jet)g(case)h(can)g(b)s(e)f(generalized)g(to)g(the)h(motion)d
39968 (of)i(a)g(string)g(with)g(q)0 4857 y(and)p 187 4804 V
39969 30 w(q)e(endp)s(oin)m(ts)g(and)g(an)f(arbitrary)f(n)m(um)m(b)s(er)i(of)
39970 f(in)m(termediate)f(gluons.)42 b(F)-8 b(or)30 b Fj(n)g
39971 Fw(partons,)i(whereof)0 4965 y Fj(n)17 b Fn(\000)g Fw(2)30
39972 b(gluons,)g(the)g(original)d(string)i(con)m(tains)h Fj(n)17
39973 b Fn(\000)g Fw(1)29 b(pieces.)44 b(An)m(ytime)30 b(one)g(of)f(the)h
39974 (original)d(gluons)0 5074 y(has)39 b(lost)f(its)g(energy)-8
39975 b(,)42 b(a)c(new)i(string)e(region)g(is)g(formed,)i(delineated)e(b)m(y)
39976 i(a)f(pair)e(of)i(`corners'.)63 b(As)0 5182 y(the)29
39977 b(extra)f(`corners')i(meet)e(eac)m(h)h(other,)h(old)d(string)g(regions)
39978 h(v)-5 b(anish)28 b(and)h(new)g(are)f(created,)i(so)f(that)0
39979 5290 y(half)36 b(a)h(p)s(erio)s(d)g(of)g(the)g(string)g(con)m(tains)h
39980 (2)p Fj(n)1657 5254 y Fl(2)1721 5290 y Fn(\000)26 b Fw(6)p
39981 Fj(n)g Fw(+)f(5)37 b(di\013eren)m(t)h(string)e(regions.)58
39982 b(Eac)m(h)38 b(of)f(these)0 5399 y(regions)27 b(can)i(b)s(e)f(understo)
39983 s(o)s(d)g(simply)f(as)h(built)e(up)i(from)f(the)h(o)m(v)m(erlap)g(of)g
39984 (\(opp)s(osite-mo)m(ving\))d(genes)0 5507 y(from)31 b(t)m(w)m(o)j(of)e
39985 (the)h(original)c(partons,)k(according)f(to)g(w)m(ell)g(sp)s(eci\014ed)
39986 h(rules.)1817 5953 y(238)p eop
39987 %%Page: 239 245
39988 239 244 bop 0 -18 a Fo(12.2.4)113 b(F)-9 b(ragmen)m(tation)36
39989 b(of)i(m)m(ultiparton)d(systems)0 154 y Fw(The)30 b(full)d(mac)m
39990 (hinery)h(needed)i(for)f(a)f(m)m(ultiparton)e(system)k(is)e(v)m(ery)j
39991 (complicated,)d(and)g(is)h(describ)s(ed)0 263 y(in)22
39992 b(detail)g(in)g([Sj\177)-49 b(o84)o(].)41 b(The)23 b(follo)m(wing)e
39993 (outline)g(is)i(far)f(from)g(complete,)i(and)f(is)g(complicated)e
39994 (nonethe-)0 371 y(less.)59 b(The)38 b(main)e(message)i(to)f(b)s(e)g
39995 (con)m(v)m(ey)m(ed)k(is)c(that)g(a)g(Loren)m(tz)i(co)m(v)-5
39996 b(arian)m(t)36 b(algorithm)f(exists)j(for)0 479 y(handling)k(an)i
39997 (arbitrary)e(parton)i(con\014guration,)i(but)e(that)f(the)h(necessary)i
39998 (mac)m(hinery)e(is)f(more)0 588 y(complex)32 b(than)h(in)e(either)i
39999 (cluster)g(or)f(indep)s(enden)m(t)i(fragmen)m(tation.)146
40000 696 y(Assume)40 b Fj(n)e Fw(partons,)j(with)d(ordering)f(along)g(the)i
40001 (string,)h(and)e(related)g(four-momen)m(ta,)g(giv)m(en)0
40002 804 y(b)m(y)30 b(q\()p Fj(p)270 819 y Fl(1)310 804 y
40003 Fw(\)g\()p Fj(p)484 819 y Fl(2)523 804 y Fw(\)g\()p Fj(p)697
40004 819 y Fl(3)736 804 y Fw(\))17 b Fn(\001)g(\001)g(\001)e
40005 Fw(g\()p Fj(p)1060 819 y Fh(n)p Fk(\000)p Fl(1)1196 804
40006 y Fw(\))p 1234 751 52 4 v(q)q(\()p Fj(p)1373 819 y Fh(n)1420
40007 804 y Fw(\).)42 b(The)30 b(initial)c(string)j(then)h(con)m(tains)f
40008 Fj(n)16 b Fn(\000)g Fw(1)29 b(separate)i(pieces.)0 913
40009 y(The)26 b(string)e(piece)h(b)s(et)m(w)m(een)i(the)f(quark)g(and)f(its)
40010 f(neigb)s(ouring)f(gluon)h(is,)i(in)f(four-momen)m(tum)d(space,)0
40011 1041 y(spanned)38 b(b)m(y)g(one)g(side)f(with)f(four-momen)m(tum)f
40012 Fj(p)1903 990 y Fl(\(1\))1903 1060 y(+)2033 1041 y Fw(=)g
40013 Fj(p)2193 1056 y Fl(1)2269 1041 y Fw(and)i(another)g(with)g
40014 Fj(p)3101 990 y Fl(\(1\))3101 1060 y Fk(\000)3231 1041
40015 y Fw(=)e Fj(p)3391 1056 y Fl(2)3430 1041 y Fj(=)p Fw(2.)57
40016 b(The)0 1149 y(factor)27 b(of)f(1/2)g(in)h(the)g(second)i(expression)f
40017 (comes)f(from)f(the)h(fact)g(that)g(the)h(gluon)e(shares)i(its)e
40018 (energy)0 1258 y(b)s(et)m(w)m(een)38 b(t)m(w)m(o)e(string)g(pieces.)54
40019 b(The)36 b(indices)g(`+')g(and)g(`)p Fn(\000)p Fw(')g(denotes)h
40020 (direction)e(to)m(w)m(ards)i(the)f(q)g(and)p 0 1313 V
40021 0 1366 a(q)k(end,)j(resp)s(ectiv)m(ely)-8 b(.)66 b(The)41
40022 b(next)g(string)e(piece,)j(coun)m(ted)f(from)e(the)h(quark)h(end,)h(is)
40023 d(spanned)j(b)m(y)0 1494 y Fj(p)49 1444 y Fl(\(2\))49
40024 1514 y(+)189 1494 y Fw(=)k Fj(p)360 1509 y Fl(2)399 1494
40025 y Fj(=)p Fw(2)d(and)g Fj(p)789 1444 y Fl(\(2\))789 1514
40026 y Fk(\000)929 1494 y Fw(=)j Fj(p)1100 1509 y Fl(3)1140
40027 1494 y Fj(=)p Fw(2,)f(and)e(so)h(on,)i(with)d(the)g(last)g(one)g(b)s
40028 (eing)g Fj(p)2936 1444 y Fl(\()p Fh(n)p Fk(\000)p Fl(1\))2936
40029 1514 y(+)3174 1494 y Fw(=)j Fj(p)3345 1509 y Fh(n)p Fk(\000)p
40030 Fl(1)3482 1494 y Fj(=)p Fw(2)c(and)0 1629 y Fj(p)49 1579
40031 y Fl(\()p Fh(n)p Fk(\000)p Fl(1\))49 1649 y Fk(\000)269
40032 1629 y Fw(=)27 b Fj(p)421 1644 y Fh(n)468 1629 y Fw(.)146
40033 1765 y(F)-8 b(or)29 b(the)i(algorithm)26 b(to)k(w)m(ork,)h(it)e(is)h
40034 (imp)s(ortan)m(t)e(that)h(all)f Fj(p)2344 1714 y Fl(\()p
40035 Fh(i)p Fl(\))2344 1784 y Fk(\006)2457 1765 y Fw(b)s(e)i(ligh)m
40036 (t-cone-lik)m(e,)e(i.e.)42 b Fj(p)3454 1714 y Fl(\()p
40037 Fh(i)p Fl(\)2)3454 1784 y Fk(\006)3600 1765 y Fw(=)28
40038 b(0.)0 1873 y(Since)35 b(gluons)f(are)h(massless,)g(it)f(is)g(only)g
40039 (the)h(t)m(w)m(o)h(endp)s(oin)m(t)e(quarks)i(whic)m(h)f(can)g(cause)h
40040 (problems.)0 1981 y(The)45 b(pro)s(cedure)g(here)g(is)f(to)g(create)h
40041 (new)g Fj(p)1700 1996 y Fk(\006)1803 1981 y Fw(v)m(ectors)h(for)d(eac)m
40042 (h)j(of)d(the)i(t)m(w)m(o)g(endp)s(oin)m(t)f(regions,)0
40043 2090 y(de\014ned)31 b(to)f(b)s(e)g(linear)f(com)m(binations)f(of)i(the)
40044 g(old)f Fj(p)1923 2105 y Fk(\006)2012 2090 y Fw(ones)i(for)f(the)g
40045 (same)g(region,)g(with)f(co)s(e\016cien)m(ts)0 2198 y(determined)45
40046 b(so)h(that)f(the)h(new)g(v)m(ectors)h(are)e(ligh)m(t-cone-lik)m(e.)80
40047 b(De)45 b(facto,)j(this)d(corresp)s(onds)i(to)0 2306
40048 y(replacing)28 b(a)h(massiv)m(e)h(quark)g(at)f(the)h(end)h(of)e(a)g
40049 (string)g(piece)g(with)g(a)h(massless)f(quark)i(at)e(the)h(end)g(of)0
40050 2415 y(a)36 b(somewhat)g(longer)e(string)i(piece.)53
40051 b(With)35 b(the)i(exception)f(of)f(the)i(added)f(\014ctitious)f(piece,)
40052 i(whic)m(h)0 2523 y(an)m(yw)m(a)m(y)k(ends)g(up)f(en)m(tirely)f(within)
40053 f(the)i(hea)m(vy)h(hadron)f(pro)s(duced)g(from)e(the)i(hea)m(vy)h
40054 (quark,)h(the)0 2631 y(string)32 b(motion)f(remains)g(unc)m(hanged)j(b)
40055 m(y)g(this.)146 2740 y(In)h(the)h(con)m(tin)m(ued)f(string)f(motion,)g
40056 (when)i(new)f(string)g(regions)f(app)s(ear)h(as)g(time)e(go)s(es)i(b)m
40057 (y)-8 b(,)36 b(the)0 2868 y(\014rst)45 b(suc)m(h)h(string)e(regions)h
40058 (that)f(app)s(ear)h(can)g(b)s(e)g(represen)m(ted)i(as)e(b)s(eing)f
40059 (spanned)i(b)m(y)f(one)g Fj(p)3688 2817 y Fl(\()p Fh(j)t
40060 Fl(\))3688 2887 y(+)0 3003 y Fw(and)h(another)f Fj(p)622
40061 2952 y Fl(\()p Fh(k)r Fl(\))622 3022 y Fk(\000)766 3003
40062 y Fw(four-v)m(ector,)k(with)c Fj(j)52 b Fw(and)45 b Fj(k)k
40063 Fw(not)d(necessarily)g(adjacen)m(t.)83 b(F)-8 b(or)45
40064 b(instance,)k(in)0 3138 y(the)35 b(qg)p 271 3085 V 1
40065 w(q)h(case,)g(the)f(`third')f(string)g(region)g(is)g(spanned)i(b)m(y)g
40066 Fj(p)2307 3087 y Fl(\(1\))2307 3157 y(+)2436 3138 y Fw(and)f
40067 Fj(p)2677 3087 y Fl(\(3\))2677 3157 y Fk(\000)2771 3138
40068 y Fw(.)50 b(Later)34 b(on)h(in)f(the)h(string)0 3246
40069 y(ev)m(olution)24 b(history)-8 b(,)27 b(it)d(is)g(also)h(p)s(ossible)f
40070 (to)h(ha)m(v)m(e)h(regions)f(made)g(up)g(of)g(t)m(w)m(o)h
40071 Fj(p)2854 3261 y Fl(+)2938 3246 y Fw(or)f(t)m(w)m(o)g
40072 Fj(p)3275 3261 y Fk(\000)3360 3246 y Fw(momen)m(ta.)0
40073 3355 y(These)38 b(app)s(ear)f(when)h(an)e(endp)s(oin)m(t)h(quark)g(has)
40074 g(lost)f(all)f(its)h(original)d(momen)m(tum,)j(has)h(accreted)0
40075 3463 y(the)i(momen)m(tum)e(of)h(an)g(gluon,)h(and)f(is)g(no)m(w)h
40076 (re-emitting)d(this)i(momen)m(tum.)60 b(In)38 b(practice,)i(these)0
40077 3592 y(regions)28 b(ma)m(y)f(b)s(e)h(neglected.)43 b(Therefore)29
40078 b(only)f(pieces)g(made)g(up)g(b)m(y)h(a)f(\()p Fj(p)2737
40079 3541 y Fl(\()p Fh(j)t Fl(\))2737 3611 y(+)2828 3592 y
40080 Fj(;)17 b(p)2921 3541 y Fl(\()p Fh(k)r Fl(\))2921 3611
40081 y Fk(\000)3018 3592 y Fw(\))28 b(pair)f(of)h(momen)m(ta)0
40082 3700 y(are)33 b(considered)g(in)f(the)h(program.)146
40083 3808 y(The)h(allo)m(w)m(es)e(string)f(regions)h(ma)m(y)g(b)s(e)h
40084 (ordered)g(in)f(an)g(abstract)h(parameter)e(plane,)h(where)i(the)0
40085 3917 y(\()p Fj(j;)17 b(k)s Fw(\))43 b(indices)g(of)g(the)h(four-momen)m
40086 (tum)d(pairs)h(de\014ne)j(the)f(p)s(osition)d(of)i(eac)m(h)h(region)e
40087 (along)g(the)0 4025 y(t)m(w)m(o)e(\(parameter)g(plane\))f(co)s
40088 (ordinate)g(axes.)66 b(In)40 b(this)f(plane)h(the)g(fragmen)m(tation)e
40089 (pro)s(cedure)i(can)0 4133 y(b)s(e)34 b(describ)s(ed)h(as)f(a)g
40090 (sequence)j(of)d(steps,)h(starting)f(at)f(the)i(quark)g(end,)g(where)g
40091 (\()p Fj(j;)17 b(k)s Fw(\))31 b(=)f(\(1)p Fj(;)17 b Fw(1\),)33
40092 b(and)0 4242 y(ending)23 b(at)f(the)h(an)m(tiquark)g(one,)i(\()p
40093 Fj(j;)17 b(k)s Fw(\))28 b(=)g(\()p Fj(n)r Fn(\000)r Fw(1)p
40094 Fj(;)17 b(n)r Fn(\000)r Fw(1\).)42 b(Eac)m(h)24 b(step)f(is)g(tak)m(en)
40095 g(from)f(an)h(`old')f(q)3491 4257 y Fh(i)p Fk(\000)p
40096 Fl(1)p 3610 4189 V 3610 4242 a Fw(q)3661 4265 y Fh(i)p
40097 Fk(\000)p Fl(1)0 4350 y Fw(pair)29 b(pro)s(duction)h(v)m(ertex,)j(to)d
40098 (the)h(pro)s(duction)f(v)m(ertex)i(of)e(a)g(`new')i(q)2575
40099 4365 y Fh(i)p 2604 4297 V 2604 4350 a Fw(q)2655 4373
40100 y Fh(i)2714 4350 y Fw(pair,)e(and)g(the)h(string)f(piece)0
40101 4458 y(b)s(et)m(w)m(een)43 b(these)g(t)m(w)m(o)f(string)e(breaks)i
40102 (represen)m(t)i(a)c(hadron.)70 b(Some)41 b(steps)h(ma)m(y)f(b)s(e)g
40103 (tak)m(en)i(within)0 4567 y(one)36 b(and)g(the)h(same)f(region,)g
40104 (while)f(others)h(ma)m(y)g(ha)m(v)m(e)h(one)g(v)m(ertex)g(in)f(one)g
40105 (region)f(and)h(the)g(other)0 4675 y(v)m(ertex)31 b(in)d(another)i
40106 (region.)41 b(Consistency)31 b(requiremen)m(ts,)g(lik)m(e)d
40107 (energy-momen)m(tum)g(conserv)-5 b(ation,)0 4783 y(dictates)34
40108 b(that)f(v)m(ertex)i Fj(j)40 b Fw(and)33 b Fj(k)k Fw(region)32
40109 b(v)-5 b(alues)34 b(b)s(e)f(ordered)i(in)d(a)i(monotonic)e(sequence,)k
40110 (and)e(that)0 4892 y(the)27 b(v)m(ertex)h(p)s(ositions)e(are)g
40111 (monotonically)e(ordered)j(inside)f(eac)m(h)h(region.)41
40112 b(The)28 b(four-momen)m(tum)c(of)0 5000 y(eac)m(h)33
40113 b(hadron)f(can)h(b)s(e)f(read)g(o\013,)g(for)g Fj(p)1439
40114 5015 y Fl(+)1530 5000 y Fw(\()p Fj(p)1617 5015 y Fk(\000)1676
40115 5000 y Fw(\))g(momen)m(ta,)f(b)m(y)i(pro)5 b(jecting)32
40116 b(the)h(separation)e(b)s(et)m(w)m(een)0 5134 y(the)39
40117 b(old)e(and)i(the)g(new)g(v)m(ertex)h(on)f(to)f(the)g
40118 Fj(j)45 b Fw(\()p Fj(k)s Fw(\))38 b(axis.)61 b(If)38
40119 b(the)h(four-momen)m(tum)d(fraction)i(of)g Fj(p)3697
40120 5083 y Fl(\()p Fh(i)p Fl(\))3697 5153 y Fk(\006)0 5269
40121 y Fw(tak)m(en)c(b)m(y)f(a)f(hadron)h(is)f(denoted)i Fj(x)1335
40122 5218 y Fl(\()p Fh(i)p Fl(\))1335 5288 y Fk(\006)1418
40123 5269 y Fw(,)f(then)g(the)g(total)e(hadron)h(four-momen)m(tum)f(is)h
40124 (giv)m(en)h(b)m(y)160 5569 y Fj(p)27 b Fw(=)383 5455
40125 y Fh(j)412 5464 y Ff(2)355 5486 y Fg(X)340 5668 y Fh(j)t
40126 Fl(=)p Fh(j)457 5677 y Ff(1)507 5569 y Fj(x)562 5518
40127 y Fl(\()p Fh(j)t Fl(\))562 5588 y(+)654 5569 y Fj(p)703
40128 5518 y Fl(\()p Fh(j)t Fl(\))703 5588 y(+)816 5569 y Fw(+)961
40129 5459 y Fh(k)998 5468 y Ff(2)937 5486 y Fg(X)914 5670
40130 y Fh(k)r Fl(=)p Fh(k)1045 5679 y Ff(1)1096 5569 y Fj(x)1151
40131 5518 y Fl(\()p Fh(k)r Fl(\))1151 5588 y Fk(\000)1249
40132 5569 y Fj(p)1298 5518 y Fl(\()p Fh(k)r Fl(\))1298 5588
40133 y Fk(\000)1417 5569 y Fw(+)22 b Fj(p)1564 5584 y Fh(x)p
40134 Fl(1)1647 5569 y Fw(^)-53 b Fj(e)1688 5528 y Fl(\()p
40135 Fh(j)1744 5537 y Ff(1)1779 5528 y Fh(k)1816 5537 y Ff(1)1850
40136 5528 y Fl(\))1688 5593 y Fh(x)1904 5569 y Fw(+)22 b Fj(p)2051
40137 5584 y Fh(y)r Fl(1)2131 5569 y Fw(^)-52 b Fj(e)2173 5528
40138 y Fl(\()p Fh(j)2229 5537 y Ff(1)2264 5528 y Fh(k)2301
40139 5537 y Ff(1)2335 5528 y Fl(\))2173 5593 y Fh(y)2389 5569
40140 y Fw(+)22 b Fj(p)2536 5584 y Fh(x)p Fl(2)2618 5569 y
40141 Fw(^)-52 b Fj(e)2660 5528 y Fl(\()p Fh(j)2716 5537 y
40142 Ff(2)2751 5528 y Fh(k)2788 5537 y Ff(2)2822 5528 y Fl(\))2660
40143 5593 y Fh(x)2876 5569 y Fw(+)22 b Fj(p)3023 5584 y Fh(y)r
40144 Fl(2)3103 5569 y Fw(^)-53 b Fj(e)3144 5528 y Fl(\()p
40145 Fh(j)3200 5537 y Ff(2)3235 5528 y Fh(k)3272 5537 y Ff(2)3306
40146 5528 y Fl(\))3144 5593 y Fh(y)3371 5569 y Fj(;)159 b
40147 Fw(\(193\))1817 5953 y(239)p eop
40148 %%Page: 240 246
40149 240 245 bop 0 -17 a Fw(for)25 b(a)g(step)h(from)e(region)g(\()p
40150 Fj(j)1001 -2 y Fl(1)1041 -17 y Fj(;)17 b(k)1136 -2 y
40151 Fl(1)1175 -17 y Fw(\))25 b(to)g(region)f(\()p Fj(j)1713
40152 -2 y Fl(2)1753 -17 y Fj(;)17 b(k)1848 -2 y Fl(2)1886
40153 -17 y Fw(\).)41 b(By)26 b(necessit)m(y)-8 b(,)29 b Fj(x)2614
40154 -68 y Fl(\()p Fh(j)t Fl(\))2614 2 y(+)2731 -17 y Fw(is)24
40155 b(unit)m(y)i(for)f(a)f Fj(j)3324 -2 y Fl(1)3392 -17 y
40156 Fj(<)j(j)34 b(<)28 b(j)3713 -2 y Fl(2)3752 -17 y Fw(,)0
40157 118 y(and)33 b(corresp)s(ondingly)f(for)g Fj(x)1099 67
40158 y Fl(\()p Fh(k)r Fl(\))1099 137 y Fk(\000)1197 118 y
40159 Fw(.)146 226 y(The)48 b(\()p Fj(p)448 241 y Fh(x)491
40160 226 y Fj(;)17 b(p)584 241 y Fh(y)625 226 y Fw(\))47 b(pairs)f(are)g
40161 (the)h(transv)m(erse)h(momen)m(ta)d(pro)s(duced)j(at)e(the)g(t)m(w)m(o)
40162 h(string)f(breaks,)0 334 y(and)32 b(the)g(\()t(^)-53
40163 b Fj(e)439 349 y Fh(x)483 334 y Fj(;)21 b Fw(^)-53 b
40164 Fj(e)572 349 y Fh(y)614 334 y Fw(\))31 b(pairs)h(four-v)m(ectors)g
40165 (transv)m(erse)i(to)e(the)g(string)g(directions)f(in)g(the)h(regions)g
40166 (of)f(the)0 443 y(resp)s(ectiv)m(e)j(string)e(breaks:)1232
40167 657 y(^)-53 b Fj(e)1273 616 y Fl(\()p Fh(j)t(k)r Fl(\)2)1273
40168 682 y Fh(x)1466 657 y Fw(=)31 b(^)-52 b Fj(e)1615 616
40169 y Fl(\()p Fh(j)t(k)r Fl(\)2)1615 682 y Fh(y)1808 657
40170 y Fw(=)27 b Fn(\000)p Fw(1)33 b Fj(;)1232 829 y Fw(^)-53
40171 b Fj(e)1273 788 y Fl(\()p Fh(j)t(k)r Fl(\))1273 854 y
40172 Fh(x)1407 829 y Fw(^)g Fj(e)1448 788 y Fl(\()p Fh(j)t(k)r
40173 Fl(\))1448 854 y Fh(y)1606 829 y Fw(=)31 b(^)-52 b Fj(e)1755
40174 788 y Fl(\()p Fh(j)t(k)r Fl(\))1755 854 y Fh(x;y)1885
40175 829 y Fj(p)1934 778 y Fl(\()p Fh(j)t Fl(\))1934 848 y(+)2053
40176 829 y Fw(=)31 b(^)-53 b Fj(e)2201 788 y Fl(\()p Fh(j)t(k)r
40177 Fl(\))2201 854 y Fh(x;y)2331 829 y Fj(p)2380 778 y Fl(\()p
40178 Fh(k)r Fl(\))2380 848 y Fk(\000)2506 829 y Fw(=)27 b(0)32
40179 b Fj(:)840 b Fw(\(194\))146 1050 y(The)40 b(fact)e(that)g(the)g(hadron)
40180 h(should)f(b)s(e)g(on)g(mass)h(shell,)f Fj(p)2423 1014
40181 y Fl(2)2500 1050 y Fw(=)f Fj(m)2698 1014 y Fl(2)2738
40182 1050 y Fw(,)j(puts)f(one)f(constrain)m(t)h(on)0 1158
40183 y(where)c(a)f(new)h(breakup)g(ma)m(y)f(b)s(e,)g(giv)m(en)h(that)e(the)i
40184 (old)e(one)h(is)g(already)f(kno)m(wn,)j(just)e(as)g(eq.)h(\(177\))0
40185 1267 y(did)28 b(in)g(the)i(simple)d(2-jet)h(case.)43
40186 b(The)30 b(remaining)c(degree)k(of)f(freedom)f(is,)h(as)g(b)s(efore,)h
40187 (to)f(b)s(e)g(giv)m(en)g(b)m(y)0 1375 y(the)e(fragmen)m(tation)d
40188 (function)h Fj(f)11 b Fw(\()p Fj(z)t Fw(\).)42 b(The)27
40189 b(in)m(terpretation)e(of)g(the)i Fj(z)k Fw(is)25 b(only)h(w)m
40190 (ell-de\014ned)g(for)g(a)g(step)0 1483 y(en)m(tirely)32
40191 b(constrained)h(to)f(one)g(of)g(the)h(initial)c(string)i(regions,)h(ho)
40192 m(w)m(ev)m(er,)j(whic)m(h)e(is)f(not)g(enough.)44 b(In)0
40193 1592 y(the)31 b(2-jet)e(case,)j(the)e Fj(z)35 b Fw(v)-5
40194 b(alues)30 b(can)g(b)s(e)h(related)f(to)f(the)i(prop)s(er)f(times)f(of)
40195 h(string)f(breaks,)j(as)f(follo)m(ws.)0 1700 y(The)42
40196 b(v)-5 b(ariable)40 b(\000)i(=)h(\()p Fj(\024\034)11
40197 b Fw(\))991 1664 y Fl(2)1031 1700 y Fw(,)43 b(with)e
40198 Fj(\024)h Fw(the)f(string)g(tension)g(and)h Fj(\034)53
40199 b Fw(the)41 b(prop)s(er)h(time)e(b)s(et)m(w)m(een)j(the)0
40200 1808 y(pro)s(duction)28 b(v)m(ertex)i(of)e(the)h(partons)g(and)g(the)g
40201 (breakup)g(p)s(oin)m(t,)g(ob)s(eys)g(an)g(iterativ)m(e)e(relation)g(of)
40202 h(the)0 1917 y(kind)1203 2121 y(\000)1264 2136 y Fl(0)1386
40203 2121 y Fw(=)83 b(0)32 b Fj(;)1214 2323 y Fw(\000)1275
40204 2338 y Fh(i)1386 2323 y Fw(=)83 b(\(1)22 b Fn(\000)g
40205 Fj(z)1798 2338 y Fh(i)1827 2323 y Fw(\))1882 2177 y Fg( )1947
40206 2323 y Fw(\000)2008 2338 y Fh(i)p Fk(\000)p Fl(1)2149
40207 2323 y Fw(+)2257 2256 y Fj(m)2342 2220 y Fl(2)2342 2280
40208 y Fk(?)p Fh(i)p 2257 2300 169 4 v 2304 2392 a Fj(z)2349
40209 2407 y Fh(i)2435 2177 y Fg(!)2550 2323 y Fj(:)980 b Fw(\(195\))0
40210 2597 y(Here)43 b(\000)301 2612 y Fl(0)382 2597 y Fw(represen)m(ts)h
40211 (the)f(v)-5 b(alue)41 b(at)h(the)g(q)h(and)p 1888 2544
40212 52 4 v 42 w(q)f(endp)s(oin)m(ts,)j(and)d(\000)2725 2612
40213 y Fh(i)p Fk(\000)p Fl(1)2885 2597 y Fw(and)g(\000)3145
40214 2612 y Fh(i)3216 2597 y Fw(the)g(v)-5 b(alues)42 b(at)0
40215 2705 y(the)32 b(old)e(and)i(new)g(breakup)g(v)m(ertices)h(needed)g(to)e
40216 (pro)s(duce)h(a)f(hadron)g(with)g(transv)m(erse)j(mass)d
40217 Fj(m)3669 2720 y Fk(?)p Fh(i)3752 2705 y Fw(,)0 2813
40218 y(and)39 b(with)f(the)h Fj(z)643 2828 y Fh(i)710 2813
40219 y Fw(of)f(the)i(step)f(c)m(hosen)h(according)e(to)h Fj(f)11
40220 b Fw(\()p Fj(z)2245 2828 y Fh(i)2273 2813 y Fw(\).)62
40221 b(The)39 b(prop)s(er)g(time)e(can)i(b)s(e)g(de\014ned)0
40222 2922 y(in)33 b(an)h(unam)m(biguous)f(w)m(a)m(y)-8 b(,)36
40223 b(also)d(o)m(v)m(er)i(b)s(oundaries)e(b)s(et)m(w)m(een)j(the)f
40224 (di\013eren)m(t)f(string)f(regions,)h(so)g(for)0 3030
40225 y(m)m(ultijet)e(ev)m(en)m(ts)k(the)f Fj(z)k Fw(v)-5 b(ariable)32
40226 b(ma)m(y)i(b)s(e)g(in)m(terpreted)h(just)g(as)f(an)g(auxiliary)e(v)-5
40227 b(ariable)32 b(needed)k(to)0 3138 y(determine)f(the)g(next)h(\000)f(v)
40228 -5 b(alue.)50 b(\(In)35 b(the)h(Lund)f(symmetric)f(fragmen)m(tation)g
40229 (function)g(deriv)-5 b(ation,)0 3247 y(the)34 b(\000)g(v)-5
40230 b(ariable)32 b(actually)g(do)s(es)j(app)s(ear)e(naturally)-8
40231 b(,)33 b(so)h(the)g(c)m(hoice)g(is)f(not)h(as)g(arbitrary)f(as)h(it)f
40232 (ma)m(y)0 3355 y(seem)39 b(here.\))61 b(The)39 b(mass)f(and)g(\000)g
40233 (constrain)m(ts)h(together)f(are)h(su\016cien)m(t)g(to)f(determine)g
40234 (where)h(the)0 3463 y(next)45 b(string)f(breakup)i(is)e(to)g(b)s(e)h(c)
40235 m(hosen,)k(giv)m(en)c(the)g(preceding)g(one)g(in)f(the)h(iteration)d
40236 (sc)m(heme.)0 3572 y(Actually)-8 b(,)32 b(sev)m(eral)h(am)m(biguities)d
40237 (remain,)h(but)i(are)g(of)f(no)g(imp)s(ortance)f(for)h(the)h(o)m(v)m
40238 (erall)f(picture.)146 3680 y(The)38 b(algorithm)c(for)i(\014nding)h
40239 (the)g(next)h(breakup)g(then)g(w)m(orks)g(something)e(lik)m(e)h(follo)m
40240 (ws.)55 b(Pic)m(k)0 3788 y(a)34 b(hadron,)h Fj(p)492
40241 3803 y Fk(?)551 3788 y Fw(,)g(and)g Fj(z)t Fw(,)h(and)e(calculate)g
40242 (the)h(next)g(\000.)49 b(If)35 b(the)g(old)e(breakup)j(is)e(in)g(the)h
40243 (region)e(\()p Fj(j;)17 b(k)s Fw(\),)0 3897 y(and)42
40244 b(if)f(the)i(new)g(breakup)g(is)f(also)f(assumed)i(to)e(b)s(e)i(in)e
40245 (the)i(same)f(region,)h(then)g(the)g Fj(m)3438 3860 y
40246 Fl(2)3519 3897 y Fw(and)g(\000)0 4025 y(constrain)m(ts)38
40247 b(can)g(b)s(e)g(reform)m(ulated)e(in)h(terms)h(of)f(the)h(fractions)f
40248 Fj(x)2547 3974 y Fl(\()p Fh(j)t Fl(\))2547 4044 y(+)2676
40249 4025 y Fw(and)h Fj(x)2926 3974 y Fl(\()p Fh(k)r Fl(\))2926
40250 4044 y Fk(\000)3062 4025 y Fw(the)g(hadron)f(m)m(ust)0
40251 4160 y(tak)m(e)c(of)f(the)h(total)e(four-v)m(ectors)j
40252 Fj(p)1307 4109 y Fl(\()p Fh(j)t Fl(\))1307 4179 y(+)1431
40253 4160 y Fw(and)e Fj(p)1669 4109 y Fl(\()p Fh(k)r Fl(\))1669
40254 4179 y Fk(\000)1767 4160 y Fw(:)1016 4391 y Fj(m)1101
40255 4350 y Fl(2)1224 4391 y Fw(=)83 b Fj(c)1425 4406 y Fl(1)1487
40256 4391 y Fw(+)22 b Fj(c)1627 4406 y Fl(2)1666 4391 y Fj(x)1721
40257 4340 y Fl(\()p Fh(j)t Fl(\))1721 4410 y(+)1835 4391 y
40258 Fw(+)g Fj(c)1975 4406 y Fl(3)2014 4391 y Fj(x)2069 4340
40259 y Fl(\()p Fh(k)r Fl(\))2069 4410 y Fk(\000)2190 4391
40260 y Fw(+)g Fj(c)2330 4406 y Fl(4)2369 4391 y Fj(x)2424
40261 4340 y Fl(\()p Fh(j)t Fl(\))2424 4410 y(+)2516 4391 y
40262 Fj(x)2571 4340 y Fl(\()p Fh(k)r Fl(\))2571 4410 y Fk(\000)2701
40263 4391 y Fj(;)1080 4551 y Fw(\000)83 b(=)g Fj(d)1434 4566
40264 y Fl(1)1495 4551 y Fw(+)22 b Fj(d)1644 4566 y Fl(2)1683
40265 4551 y Fj(x)1738 4500 y Fl(\()p Fh(j)t Fl(\))1738 4570
40266 y(+)1852 4551 y Fw(+)g Fj(d)2001 4566 y Fl(3)2041 4551
40267 y Fj(x)2096 4500 y Fl(\()p Fh(k)r Fl(\))2096 4570 y Fk(\000)2216
40268 4551 y Fw(+)g Fj(d)2365 4566 y Fl(4)2404 4551 y Fj(x)2459
40269 4500 y Fl(\()p Fh(j)t Fl(\))2459 4570 y(+)2551 4551 y
40270 Fj(x)2606 4500 y Fl(\()p Fh(k)r Fl(\))2606 4570 y Fk(\000)2736
40271 4551 y Fj(:)794 b Fw(\(196\))0 4756 y(Here)41 b(the)h(co)s(e\016cien)m
40272 (ts)f Fj(c)958 4771 y Fh(n)1046 4756 y Fw(are)g(fairly)e(simple)g
40273 (expressions,)44 b(obtainable)39 b(b)m(y)j(squaring)f(eq.)g(\(193\),)0
40274 4864 y(while)g Fj(d)315 4879 y Fh(n)403 4864 y Fw(are)h(sligh)m(tly)e
40275 (more)h(complicated)f(in)h(that)g(they)i(dep)s(end)g(on)e(the)h(p)s
40276 (osition)e(of)h(the)h(old)0 4972 y(string)c(break,)k(but)d(b)s(oth)f
40277 (the)i Fj(c)1225 4987 y Fh(n)1311 4972 y Fw(and)f(the)g
40278 Fj(d)1732 4987 y Fh(n)1817 4972 y Fw(are)g(explicitly)e(calculable.)61
40279 b(What)39 b(remains)f(is)h(an)0 5101 y(equation)28 b(system)i(with)e(t)
40280 m(w)m(o)i(unkno)m(wns,)h Fj(x)1647 5050 y Fl(\()p Fh(j)t
40281 Fl(\))1647 5120 y(+)1768 5101 y Fw(and)e Fj(x)2009 5050
40282 y Fl(\()p Fh(k)r Fl(\))2009 5120 y Fk(\000)2107 5101
40283 y Fw(.)42 b(The)29 b(absence)i(of)d(an)m(y)h(quadratic)f(terms)h(is)0
40284 5236 y(due)e(to)e(the)h(fact)g(that)g(all)d Fj(p)1019
40285 5185 y Fl(\()p Fh(i)p Fl(\)2)1019 5255 y Fk(\006)1165
40286 5236 y Fw(=)28 b(0,)f(i.e.)41 b(to)25 b(the)h(c)m(hoice)h(of)e(a)h
40287 (form)m(ulation)d(based)j(on)g(ligh)m(t-cone-lik)m(e)0
40288 5344 y(longitudinal)g(v)m(ectors.)44 b(Of)30 b(the)g(t)m(w)m(o)g(p)s
40289 (ossible)g(solutions)e(to)i(the)g(equation)g(system)g(\(elimination)c
40290 (of)0 5453 y(one)37 b(v)-5 b(ariable)36 b(giv)m(es)h(a)g(second)h
40291 (degree)g(equation)f(in)f(the)h(other\),)i(one)e(is)g(unph)m(ysical)g
40292 (and)g(can)g(b)s(e)0 5561 y(discarded)d(outrigh)m(t.)47
40293 b(The)35 b(other)f(solution)f(is)g(c)m(hec)m(k)m(ed)k(for)d(whether)h
40294 (the)g Fj(x)2892 5576 y Fk(\006)2985 5561 y Fw(v)-5 b(alues)34
40295 b(are)g(actually)0 5669 y(inside)g(the)i(ph)m(ysically)f(allo)m(w)m(ed)
40296 f(region,)h(i.e.)51 b(whether)36 b(the)g Fj(x)2356 5684
40297 y Fk(\006)2450 5669 y Fw(v)-5 b(alues)35 b(of)g(the)h(curren)m(t)g
40298 (step,)h(plus)1817 5953 y(240)p eop
40299 %%Page: 241 247
40300 241 246 bop 0 -18 a Fw(whatev)m(er)29 b(has)e(already)g(b)s(een)g(used)
40301 h(up)g(in)e(previous)h(steps,)j(are)d(less)g(than)g(unit)m(y)-8
40302 b(.)42 b(If)27 b(y)m(es,)i(a)e(solution)0 90 y(has)39
40303 b(b)s(een)g(found.)60 b(If)38 b(no,)i(it)d(is)h(b)s(ecause)h(the)g
40304 (breakup)g(could)f(not)g(tak)m(e)h(place)f(inside)g(the)g(region)0
40305 198 y(studied,)32 b(i.e.)43 b(b)s(ecause)33 b(the)f(equation)f(system)i
40306 (w)m(as)f(solv)m(ed)g(for)f(the)h(wrong)g(region.)42
40307 b(One)32 b(therefore)0 307 y(has)40 b(to)f(c)m(hange)i(either)f(index)g
40308 Fj(j)45 b Fw(or)40 b(index)f Fj(k)k Fw(ab)s(o)m(v)m(e)e(b)m(y)f(one)g
40309 (step,)j(i.e.)64 b(go)39 b(to)h(the)g(next)g(nearest)0
40310 415 y(string)32 b(region.)43 b(In)33 b(this)g(new)g(region,)f(a)h(new)g
40311 (equation)g(system)g(of)g(the)g(t)m(yp)s(e)g(in)f(eq.)i(\(196\))e(ma)m
40312 (y)g(b)s(e)0 523 y(written)h(do)m(wn,)h(with)e(new)i(co)s(e\016cien)m
40313 (ts.)45 b(A)33 b(new)h(solution)d(is)i(found)g(and)g(tested,)h(and)f
40314 (so)g(on)g(un)m(til)0 632 y(a)38 b(ph)m(ysically)g(acceptable)h
40315 (solution)e(is)h(found.)62 b(The)40 b(hadron)e(four-momen)m(tum)f(is)h
40316 (no)m(w)h(giv)m(en)g(b)m(y)0 740 y(an)32 b(expression)h(of)f(the)g(t)m
40317 (yp)s(e)h(\(193\).)43 b(The)33 b(breakup)g(found)f(forms)f(the)h
40318 (starting)f(p)s(oin)m(t)h(for)f(the)i(new)0 848 y(step)i(in)e(the)h
40319 (fragmen)m(tation)d(c)m(hain,)j(and)g(so)g(on.)47 b(The)35
40320 b(\014nal)d(joining)g(in)h(the)h(middle)e(is)h(done)h(as)g(in)0
40321 957 y(the)f(2-jet)f(case,)h(with)g(minor)d(extensions.)0
40322 1231 y Fp(12.3)136 b(Indep)t(enden)l(t)44 b(F)-11 b(ragmen)l(tation)0
40323 1403 y Fw(The)35 b(indep)s(enden)m(t)h(fragmen)m(tation)c(\(IF\))i
40324 (approac)m(h)h(dates)f(bac)m(k)i(to)e(the)g(early)g(sev)m(en)m(ties)j
40325 ([Krz72)o(],)0 1512 y(and)f(gained)e(widespread)j(p)s(opularit)m(y)d
40326 (with)h(the)h(Field-F)-8 b(eynman)33 b(pap)s(er)j([Fie78)o(].)52
40327 b(Subsequen)m(tly)-8 b(,)0 1620 y(IF)29 b(w)m(as)g(the)g(basis)g(for)f
40328 (t)m(w)m(o)i(programs)e(widely)g(used)i(in)e(the)h(early)g(PETRA/PEP)h
40329 (da)m(ys,)h(the)e(Ho)m(y)m(er)0 1728 y(et)34 b(al.)f([Ho)m(y79)q(])h
40330 (and)g(the)g(Ali)e(et)j(al.)e([Ali80)n(])h(programs.)47
40331 b(JETSET)36 b(has)e(as)g(\(non-default\))f(options)0
40332 1837 y(a)f(wide)h(selection)f(of)g(indep)s(enden)m(t)i(fragmen)m
40333 (tation)d(algorithms.)0 2084 y Fo(12.3.1)113 b(F)-9 b(ragmen)m(tation)
40334 36 b(of)i(a)g(single)e(jet)0 2257 y Fw(In)30 b(the)g(IF)g(approac)m(h,)
40335 g(it)f(is)g(assumed)i(that)e(the)h(fragmen)m(tation)e(of)h(an)m(y)i
40336 (system)f(of)f(partons)h(can)g(b)s(e)0 2365 y(describ)s(ed)h(as)g(an)g
40337 (incoheren)m(t)g(sum)f(of)h(indep)s(enden)m(t)g(fragmen)m(tation)e(pro)
40338 s(cedures)j(for)e(eac)m(h)i(parton)0 2474 y(separately)-8
40339 b(.)54 b(The)37 b(pro)s(cess)g(is)e(to)h(b)s(e)g(carried)f(out)h(in)f
40340 (the)i(o)m(v)m(erall)d(c.m.)54 b(frame)35 b(of)g(the)h(jet)g(system,)0
40341 2582 y(with)j(eac)m(h)h(jet)g(fragmen)m(tation)d(axis)i(giv)m(en)h(b)m
40342 (y)g(the)g(direction)e(of)h(motion)e(of)i(the)h(corresp)s(onding)0
40343 2690 y(parton)32 b(in)g(that)g(frame.)146 2799 y(Exactly)42
40344 b(as)g(in)e(string)h(fragmen)m(tation,)h(an)f(iterativ)m(e)g(ansatz)h
40345 (can)g(b)s(e)f(used)i(to)e(describ)s(e)h(the)0 2907 y(sucessiv)m(e)35
40346 b(pro)s(duction)c(of)h(one)h(hadron)f(after)g(the)h(next.)44
40347 b(Assume)34 b(that)e(a)g(quark)h(is)f(kic)m(k)m(ed)h(out)g(b)m(y)0
40348 3015 y(some)39 b(hard)g(in)m(teraction,)g(carrying)g(a)g(w)m
40349 (ell-de\014ned)g(amoun)m(t)f(of)h(energy)h(and)f(momen)m(tum.)61
40350 b(This)0 3124 y(quark)40 b(jet)f(q)h(is)f(split)f(in)m(to)h(a)g(hadron)
40351 g(q)p 1534 3071 52 4 v(q)1586 3147 y Fl(1)1665 3124 y
40352 Fw(and)g(a)g(remainder-jet)f(q)2611 3139 y Fl(1)2651
40353 3124 y Fw(,)j(essen)m(tially)e(collinear)e(with)0 3232
40354 y(eac)m(h)32 b(other.)43 b(New)32 b(quark)g(and)g(hadron)f(\015a)m(v)m
40355 (ours)h(are)g(pic)m(k)m(ed)g(as)f(already)g(describ)s(ed.)44
40356 b(The)32 b(sharing)0 3340 y(of)k(energy)h(and)f(momen)m(tum)f(is)g(giv)
40357 m(en)i(b)m(y)g(some)f(probabilit)m(y)e(distribution)g
40358 Fj(f)11 b Fw(\()p Fj(z)t Fw(\),)37 b(where)h Fj(z)i Fw(is)c(the)0
40359 3449 y(fraction)g(tak)m(en)j(b)m(y)g(the)f(hadron,)h(lea)m(ving)d(1)26
40360 b Fn(\000)g Fj(z)42 b Fw(for)37 b(the)i(remainder-jet.)57
40361 b(The)39 b(remainder-jet)d(is)0 3557 y(assumed)41 b(to)e(b)s(e)i(just)f
40362 (a)g(scaled-do)m(wn)g(v)m(ersion)h(of)f(the)g(original)d(jet,)42
40363 b(in)d(an)h(a)m(v)m(erage)h(sense.)68 b(The)0 3665 y(pro)s(cess)32
40364 b(of)d(splitting)g(o\013)g(a)i(hadron)f(can)h(therefore)f(b)s(e)h
40365 (iterated,)f(to)g(yield)g(a)g(sequence)j(of)d(hadrons.)0
40366 3774 y(In)j(particular,)e(the)i(function)f Fj(f)11 b
40367 Fw(\()p Fj(z)t Fw(\))33 b(is)f(assumed)h(to)f(b)s(e)h(the)g(same)f(at)g
40368 (eac)m(h)i(step,)f(i.e.)43 b(indep)s(enden)m(t)0 3882
40369 y(of)33 b(remaining)e(energy)-8 b(.)46 b(If)33 b Fj(z)38
40370 b Fw(is)32 b(in)m(terpreted)i(as)g(the)f(fraction)f(of)h(the)h(jet)f
40371 Fj(E)c Fw(+)22 b Fj(p)3015 3897 y Fl(L)3063 3882 y Fw(,)34
40372 b(i.e.)44 b(energy)35 b(plus)0 3990 y(longitudinal)d(momen)m(tum)j
40373 (with)g(resp)s(ect)i(to)f(the)g(jet)g(axis,)g(this)g(leads)f(to)h(a)f
40374 (\015at)h(cen)m(tral)g(rapidit)m(y)0 4099 y(plateau)c
40375 Fj(dn=dy)j Fw(for)d(a)g(large)g(initial)c(energy)-8 b(.)146
40376 4207 y(F)g(ragmen)m(tation)33 b(functions)i(can)g(b)s(e)g(c)m(hosen)h
40377 (among)e(those)i(listed)e(ab)s(o)m(v)m(e)h(for)g(string)f(fragmen-)0
40378 4316 y(tation,)d(but)i(also)f(here)h(the)g(default)f(is)g(the)h(Lund)g
40379 (symmetric)f(fragmen)m(tation)f(function.)146 4424 y(The)25
40380 b(normal)d Fj(z)29 b Fw(in)m(terpretation)23 b(means)h(that)g(a)g(c)m
40381 (hoice)g(of)f(a)h Fj(z)29 b Fw(v)-5 b(alue)23 b(close)h(to)g(0)g
40382 (corresp)s(onds)h(to)f(a)0 4532 y(particle)d(mo)m(ving)g(bac)m(kw)m
40383 (ards,)26 b(i.e.)40 b(with)21 b Fj(p)1591 4547 y Fl(L)1667
40384 4532 y Fj(<)28 b Fw(0.)39 b(It)23 b(mak)m(es)f(sense)i(to)e(allo)m(w)e
40385 (only)i(the)h(pro)s(duction)e(of)0 4641 y(particles)27
40386 b(with)h Fj(p)653 4656 y Fl(L)729 4641 y Fj(>)f Fw(0,)i(but)f(to)g
40387 (explicitly)e(constrain)h Fj(z)33 b Fw(accordingly)27
40388 b(w)m(ould)h(destro)m(y)h(longitudinal)0 4749 y(in)m(v)-5
40389 b(ariance.)41 b(The)31 b(most)d(straigh)m(tforw)m(ard)h(w)m(a)m(y)h
40390 (out)f(is)g(to)g(allo)m(w)e(all)g Fj(z)34 b Fw(v)-5 b(alues)29
40391 b(but)h(discard)f(hadrons)0 4857 y(with)39 b Fj(p)278
40392 4872 y Fl(L)365 4857 y Fj(<)h Fw(0.)63 b(Fla)m(v)m(our,)41
40393 b(transv)m(erse)g(momen)m(tum)d(and)i Fj(E)33 b Fw(+)26
40394 b Fj(p)2455 4872 y Fl(L)2543 4857 y Fw(carried)39 b(b)m(y)h(these)h
40395 (hadrons)e(are)0 4966 y(`lost')j(for)f(the)i(forw)m(ard)f(jet.)73
40396 b(The)43 b(a)m(v)m(erage)g(energy)g(of)f(the)h(\014nal)e(jet)h(comes)h
40397 (out)f(roughly)f(righ)m(t)0 5074 y(this)c(w)m(a)m(y)-8
40398 b(,)40 b(with)e(a)f(spread)h(of)f(1{2)g(GeV)h(around)g(the)g(mean.)58
40399 b(The)38 b(jet)g(longitudinal)c(momen)m(tum)0 5182 y(is)j(decreased,)k
40400 (ho)m(w)m(ev)m(er,)g(since)d(the)g(jet)f(acquires)h(an)g(e\013ectiv)m
40401 (e)g(mass)g(during)e(the)i(fragmen)m(tation)0 5291 y(pro)s(cedure.)48
40402 b(F)-8 b(or)33 b(a)h(2-jet)f(ev)m(en)m(t)j(this)d(is)g(as)h(it)f
40403 (should)h(b)s(e,)g(at)g(least)f(on)h(a)m(v)m(erage,)h(b)s(ecause)g
40404 (also)e(the)0 5399 y(momen)m(tum)e(of)h(the)h(comp)s(ensating)f(opp)s
40405 (osite-side)g(parton)g(is)g(decreased.)146 5507 y(In)46
40406 b(addition)e(to)i(lo)s(cal)d(\015a)m(v)m(our)k(conserv)-5
40407 b(ation)46 b(in)f(q)2144 5522 y Fh(i)p 2172 5454 V 2172
40408 5507 a Fw(q)2224 5531 y Fh(i)2298 5507 y Fw(splittings,)i(it)e(is)g
40409 (also)g(assumed)i(that)0 5616 y(transv)m(erse)38 b(momen)m(tum)d(is)h
40410 (lo)s(cally)e(conserv)m(ed,)39 b(i.e.)54 b(the)37 b(net)g
40411 Fj(p)2444 5631 y Fk(?)2539 5616 y Fw(of)f(the)h(q)2877
40412 5631 y Fh(i)p 2905 5563 V 2905 5616 a Fw(q)2957 5639
40413 y Fh(i)3021 5616 y Fw(pair)e(as)i(a)f(whole)g(is)1817
40414 5953 y(241)p eop
40415 %%Page: 242 248
40416 242 247 bop 0 -18 a Fw(assumed)30 b(to)g(b)s(e)g(v)-5
40417 b(anishing.)41 b(The)31 b Fj(p)1350 -3 y Fk(?)1439 -18
40418 y Fw(of)e(the)h(q)g(is)g(tak)m(en)g(to)g(b)s(e)g(a)f(Gaussian)h(in)f
40419 (the)h(t)m(w)m(o)g(transv)m(erse)0 90 y(degrees)41 b(of)d(freedom)h
40420 (separately)-8 b(,)41 b(with)e(the)h(transv)m(erse)h(momen)m(tum)d(of)h
40421 (a)g(hadron)g(obtained)g(b)m(y)0 198 y(the)33 b(sum)f(of)h(constituen)m
40422 (t)g(quark)g(transv)m(erse)i(momen)m(ta.)146 307 y(Within)g(the)i(IF)g
40423 (framew)m(ork,)g(there)h(is)e(no)g(unique)h(recip)s(e)f(for)g(ho)m(w)h
40424 (gluon)f(jet)g(fragmen)m(tation)0 415 y(should)e(b)s(e)g(handled.)47
40425 b(One)35 b(p)s(ossibilit)m(y)c(is)j(to)f(treat)h(it)f(exactly)h(lik)m
40426 (e)g(a)f(quark)i(jet,)f(with)g(the)g(initial)0 523 y(quark)d(\015a)m(v)
40427 m(our)g(c)m(hosen)h(at)e(random)g(among)f(u,)p 1801 470
40428 55 4 v 31 w(u,)i(d,)p 2025 444 V 31 w(d,)g(s)g(and)p
40429 2394 470 39 4 v 31 w(s,)g(including)d(the)j(ordinary)f(s)h(quark)0
40430 632 y(suppression)43 b(factor.)71 b(Since)42 b(the)g(gluon)f(is)h(supp)
40431 s(osed)h(to)e(fragmen)m(t)h(more)f(softly)g(than)h(a)g(quark)0
40432 740 y(jet,)35 b(the)g(fragmen)m(tation)e(fuction)g(ma)m(y)i(b)s(e)f(c)m
40433 (hosen)j(indep)s(enden)m(tly)-8 b(.)49 b(Another)35 b(common)f(option)f
40434 (is)0 848 y(to)41 b(split)f(the)i(g)g(jet)f(in)m(to)g(a)g(pair)f(of)h
40435 (parallel)e(q)i(and)p 2047 795 52 4 v 42 w(q)h(ones,)i(sharing)d(the)g
40436 (energy)-8 b(,)45 b(e.g.)70 b(as)41 b(in)g(a)0 957 y(p)s(erturbativ)m
40437 (e)e(branc)m(hing)f(g)g Fn(!)g Fw(q)p 1301 904 V(q,)i(i.e.)60
40438 b Fj(f)11 b Fw(\()p Fj(z)t Fw(\))38 b Fn(/)g Fj(z)1990
40439 920 y Fl(2)2056 957 y Fw(+)26 b(\(1)g Fn(\000)h Fj(z)t
40440 Fw(\))2462 920 y Fl(2)2502 957 y Fw(.)60 b(The)40 b(fragmen)m(tation)c
40441 (function)0 1065 y(could)25 b(still)e(b)s(e)j(c)m(hosen)h(indep)s
40442 (enden)m(tly)-8 b(,)27 b(if)d(so)i(desired.)42 b(F)-8
40443 b(urther,)26 b(in)f(either)g(case)i(the)e(fragmen)m(tation)0
40444 1173 y Fj(p)49 1188 y Fk(?)141 1173 y Fw(could)32 b(b)s(e)g(c)m(hosen)j
40445 (to)d(ha)m(v)m(e)i(a)e(di\013eren)m(t)h(mean.)0 1421
40446 y Fo(12.3.2)113 b(F)-9 b(ragmen)m(tation)36 b(of)i(a)g(jet)f(system)0
40447 1594 y Fw(In)g(a)g(system)h(of)f(man)m(y)g(jets,)i(eac)m(h)f(jet)f(is)g
40448 (fragmen)m(ted)g(indep)s(enden)m(tly)-8 b(.)57 b(Since)38
40449 b(eac)m(h)g(jet)f(b)m(y)h(itself)0 1702 y(do)s(es)28
40450 b(not)g(conserv)m(es)i(the)e(\015a)m(v)m(our,)i(energy)e(and)g(momen)m
40451 (tum,)g(then)g(neither)f(do)s(es)i(a)e(system)i(of)e(jets.)0
40452 1810 y(A)m(t)32 b(the)g(end)g(of)f(the)h(generation,)f(sp)s(ecial)f
40453 (algorithms)f(are)i(therefore)h(used)h(to)e(patc)m(h)h(this)f(up.)44
40454 b(The)0 1919 y(c)m(hoice)35 b(of)e(approac)m(h)i(has)g(ma)5
40455 b(jor)33 b(consequences,)38 b(e.g.)49 b(for)34 b(ev)m(en)m(t)i(shap)s
40456 (es)f(and)g Fj(\013)3079 1934 y Fl(s)3145 1919 y Fw(determinations)0
40457 2027 y([Sj\177)-49 b(o84a)o(].)146 2135 y(Little)28 b(atten)m(tion)g
40458 (is)h(usually)f(giv)m(en)h(to)g(\015a)m(v)m(our)h(conserv)-5
40459 b(ation,)30 b(and)f(w)m(e)h(only)f(o\013er)g(one)g(sc)m(heme.)0
40460 2244 y(When)47 b(the)f(fragmen)m(tation)e(of)h(all)e(jets)k(has)f(b)s
40461 (een)g(p)s(erformed,)j(indep)s(enden)m(tly)d(of)g(eac)m(h)g(other,)0
40462 2352 y(the)40 b(net)g(initial)35 b(\015a)m(v)m(our)41
40463 b(comp)s(osition,)d(i.e.)64 b(n)m(um)m(b)s(er)40 b(of)f(u)g(quarks)i
40464 (min)m(us)e(n)m(um)m(b)s(er)h(of)p 3404 2299 55 4 v 39
40465 w(u)f(quarks)0 2460 y(etc.,)45 b(is)c(compared)g(with)h(the)g(net)g
40466 (\014nal)f(\015a)m(v)m(our)h(comp)s(osition.)68 b(In)42
40467 b(case)h(of)e(an)h(im)m(balance,)g(the)0 2569 y(\015a)m(v)m(ours)e(of)e
40468 (the)h(hadron)g(with)f(lo)m(w)m(est)h(three-momen)m(tum)f(are)g(remo)m
40469 (v)m(ed,)j(and)e(the)g(im)m(balance)e(is)0 2677 y(re-ev)-5
40470 b(aluated.)62 b(If)39 b(the)g(remaining)d(im)m(balance)i(could)g(b)s(e)
40471 h(comp)s(ensated)g(b)m(y)h(a)f(suitable)f(c)m(hoice)h(of)0
40472 2785 y(new)i(\015a)m(v)m(ours)g(for)e(this)h(hadron,)i(\015a)m(v)m
40473 (ours)f(are)f(so)g(c)m(hosen,)j(a)c(new)i(mass)f(is)f(found)h(and)g
40474 (the)h(new)0 2894 y(energy)46 b(can)f(b)s(e)h(ev)-5 b(aluated,)48
40475 b(k)m(eeping)e(the)f(three-momen)m(tum)f(of)h(the)g(original)d(hadron.)
40476 81 b(If)45 b(the)0 3002 y(remo)m(v)-5 b(al)36 b(of)h(\015a)m(v)m(ours)h
40477 (from)e(the)i(hadron)f(with)g(lo)m(w)m(est)h(momen)m(tum)e(is)h(not)g
40478 (enough,)i(\015a)m(v)m(ours)f(are)0 3111 y(remo)m(v)m(ed)i(from)f(the)h
40479 (one)g(with)f(next-lo)m(w)m(est)i(momen)m(tum,)e(and)h(so)g(on)f(un)m
40480 (til)g(enough)h(freedom)f(is)0 3219 y(obtained,)g(whereafter)g(the)g
40481 (necessary)h(\015a)m(v)m(ours)g(are)e(recom)m(bined)g(at)g(random)f(to)
40482 h(form)f(the)i(new)0 3327 y(hadrons.)44 b(Occasionally)31
40483 b(one)i(extra)g(q)1456 3342 y Fh(i)p 1485 3274 52 4 v
40484 1485 3327 a Fw(q)1536 3351 y Fh(i)1597 3327 y Fw(pair)e(m)m(ust)i(b)s
40485 (e)g(created,)g(whic)m(h)h(is)e(then)h(done)g(according)0
40486 3436 y(to)f(the)h(customary)g(probabilities.)146 3544
40487 y(Sev)m(eral)i(di\013eren)m(t)g(sc)m(hemes)i(for)d(energy)i(and)f
40488 (momen)m(tum)e(conserv)-5 b(ation)35 b(ha)m(v)m(e)h(b)s(een)f(devised.)
40489 0 3652 y(One)29 b([Ho)m(y79)q(])g(is)f(to)h(conserv)m(e)i(transv)m
40490 (erse)g(momen)m(tum)d(lo)s(cally)e(within)i(eac)m(h)i(jet,)g(so)f(that)
40491 g(the)g(\014nal)0 3761 y(momen)m(tum)g(v)m(ector)i(of)f(a)g(jet)g(is)g
40492 (alw)m(a)m(ys)g(parallel)e(with)i(that)f(of)h(the)h(corresp)s(onding)f
40493 (parton.)42 b(Then)0 3869 y(longitudinal)29 b(momen)m(ta)j(ma)m(y)g(b)s
40494 (e)h(rescaled)h(separately)f(for)f(particles)g(within)g(eac)m(h)h(jet,)
40495 g(suc)m(h)i(that)0 3977 y(the)j(ratio)f(of)g(rescaled)h(jet)g(momen)m
40496 (tum)e(to)i(initial)c(parton)j(momen)m(tum)g(is)g(the)h(same)g(in)f
40497 (all)f(jets.)0 4086 y(Since)28 b(the)g(initial)c(partons)29
40498 b(had)f(net)g(v)-5 b(anishing)27 b(three-momen)m(tum,)g(so)h(do)g(no)m
40499 (w)h(the)f(hadrons.)43 b(The)0 4194 y(rescaling)31 b(factors)h(ma)m(y)f
40500 (b)s(e)h(c)m(hosen)i(suc)m(h)f(that)f(also)f(energy)h(comes)g(out)g
40501 (righ)m(t.)43 b(Another)32 b(common)0 4302 y(approac)m(h)i([Ali80)n(])g
40502 (is)f(to)g(b)s(o)s(ost)g(the)h(ev)m(en)m(t)i(to)d(the)h(frame)f(where)i
40503 (the)f(total)e(hadronic)h(momen)m(tum)0 4411 y(is)42
40504 b(v)-5 b(anishing.)72 b(After)43 b(that,)h(energy)g(conserv)-5
40505 b(ation)42 b(can)h(b)s(e)g(obtained)f(b)m(y)h(rescaling)e(all)g
40506 (particle)0 4519 y(three-momen)m(ta)32 b(b)m(y)h(a)f(common)g(factor.)
40507 146 4627 y(The)38 b(n)m(um)m(b)s(er)f(of)f(p)s(ossible)f(sc)m(hemes)k
40508 (is)d(in\014nite.)54 b(Tw)m(o)37 b(further)g(options)f(are)g(a)m(v)-5
40509 b(ailable)34 b(in)i(the)0 4736 y(program.)66 b(One)41
40510 b(is)f(to)h(shift)f(all)e(particle)h(three-momen)m(ta)h(b)m(y)i(a)e
40511 (common)f(amoun)m(t)h(to)g(giv)m(e)h(net)0 4844 y(v)-5
40512 b(anishing)36 b(momen)m(tum,)i(and)f(then)i(rescale)e(as)h(b)s(efore.)
40513 58 b(Another)38 b(is)f(to)h(shift)f(all)e(particle)h(three-)0
40514 4952 y(momen)m(ta,)48 b(for)d(eac)m(h)i(particle)d(b)m(y)j(an)e(amoun)m
40515 (t)h(prop)s(ortional)d(to)i(the)h(longitudinal)c(mass)k(with)0
40516 5061 y(resp)s(ect)25 b(to)f(the)g(im)m(balance)e(direction,)j(and)f
40517 (with)g(o)m(v)m(erall)f(magnitude)f(selected)j(to)f(giv)m(e)g(momen)m
40518 (tum)0 5169 y(conserv)-5 b(ation,)30 b(and)f(then)h(rescale)f(as)g(b)s
40519 (efore.)43 b(In)29 b(addition,)f(there)i(is)f(a)f(c)m(hoice)i(of)e
40520 (whether)j(to)e(treat)0 5277 y(separate)i(colour)f(singlets)g(\(lik)m
40521 (e)g(q)p 1286 5225 V(q)1338 5241 y Fk(0)1392 5277 y Fw(and)h(q)1631
40522 5241 y Fk(0)p 1655 5225 V 1655 5277 a Fw(q)g(in)f(a)h(q)p
40523 1980 5225 V(q)q(q)2083 5241 y Fk(0)p 2106 5225 V 2106
40524 5277 a Fw(q)2158 5241 y Fk(0)2212 5277 y Fw(ev)m(en)m(t\))h(separately)
40525 f(or)g(as)g(one)g(single)e(big)0 5386 y(system.)146 5494
40526 y(A)j(serious)g(conceptual)g(w)m(eakness)i(of)d(the)h(IF)g(framew)m
40527 (ork)f(is)h(the)g(issue)g(of)f(Loren)m(tz)h(in)m(v)-5
40528 b(ariance.)0 5602 y(The)42 b(outcome)e(of)g(the)h(fragmen)m(tation)d
40529 (pro)s(cedure)k(dep)s(ends)g(on)f(the)g(co)s(ordinate)e(frame)h(c)m
40530 (hosen,)1817 5953 y(242)p eop
40531 %%Page: 243 249
40532 243 248 bop 0 -18 a Fw(a)34 b(problem)f(circum)m(v)m(en)m(ted)j(b)m(y)f
40533 (requiring)e(fragmen)m(tation)f(alw)m(a)m(ys)j(to)f(b)s(e)g(carried)g
40534 (out)g(in)f(the)i(c.m.)0 90 y(frame.)86 b(This)47 b(is)g(a)g(consisten)
40535 m(t)h(pro)s(cedure)g(for)e(2-jet)h(ev)m(en)m(ts,)53 b(but)47
40536 b(only)g(a)f(tec)m(hnical)h(tric)m(k)g(for)0 198 y(m)m(ultijets.)146
40537 307 y(It)24 b(should)f(b)s(e)h(noted,)i(ho)m(w)m(ev)m(er,)i(that)23
40538 b(a)g(Loren)m(tz)h(co)m(v)-5 b(arian)m(t)23 b(generalization)e(of)i
40539 (the)h(indep)s(enden)m(t)0 415 y(fragmen)m(tation)37
40540 b(mo)s(del)g(exists,)k(in)c(whic)m(h)j(separate)f(`gluon-t)m(yp)s(e')f
40541 (and)h(`quark-t)m(yp)s(e')h(strings)e(are)0 523 y(used,)g(the)e(Mon)m
40542 (tv)-5 b(a)m(y)37 b(sc)m(heme)g([Mon79].)53 b(The)37
40543 b(`quark)g(string')e(is)h(c)m(haracterized)g(b)m(y)h(the)f(ordinary)0
40544 632 y(string)25 b(constan)m(t)h Fj(\024)p Fw(,)h(whereas)g(a)d(`gluon)h
40545 (string')g(is)f(tak)m(en)j(to)e(ha)m(v)m(e)h(a)f(string)g(constan)m(t)h
40546 Fj(\024)3248 647 y Fl(g)3289 632 y Fw(.)41 b(If)25 b
40547 Fj(\024)3503 647 y Fl(g)3571 632 y Fj(>)j Fw(2)p Fj(\024)0
40548 740 y Fw(it)35 b(is)g(alw)m(a)m(ys)h(energetically)e(fa)m(v)m(ourable)i
40549 (to)f(split)f(a)h(gluon)g(string)g(in)m(to)g(t)m(w)m(o)h(quark)g(ones,)
40550 h(and)f(the)0 848 y(ordinary)47 b(Lund)h(string)e(mo)s(del)g(is)h(reco)
40551 m(v)m(ered.)90 b(Otherwise,)52 b(for)47 b(a)g(3-jet)f(q)p
40552 2958 795 52 4 v(q)q(g)j(ev)m(en)m(t)g(the)f(three)0 957
40553 y(di\013eren)m(t)28 b(string)f(pieces)h(are)g(joined)f(at)g(a)g
40554 (junction.)42 b(The)28 b(motion)e(of)h(this)g(junction)h(is)f(giv)m(en)
40555 h(b)m(y)g(the)0 1065 y(comp)s(osan)m(t)k(of)h(string)f(tensions)h
40556 (acting)f(on)g(it.)43 b(In)33 b(particular,)f(it)f(is)i(alw)m(a)m(ys)g
40557 (p)s(ossible)f(to)g(b)s(o)s(ost)h(an)0 1173 y(ev)m(en)m(t)f(to)f(a)f
40558 (frame)f(where)j(this)e(junction)g(is)g(at)h(rest.)43
40559 b(In)31 b(this)f(frame,)g(m)m(uc)m(h)h(of)f(the)h(standard)g(na)-11
40560 b(\177)-38 b(\020v)m(e)0 1282 y(IF)32 b(picture)g(holds)g(for)f(the)i
40561 (fragmen)m(tation)d(of)i(the)g(three)h(jets;)g(additionally)-8
40562 b(,)29 b(a)j(correct)h(treatmen)m(t)0 1390 y(w)m(ould)42
40563 b(automatically)d(giv)m(e)j(\015a)m(v)m(our,)k(momen)m(tum)41
40564 b(and)h(energy)h(conserv)-5 b(ation.)73 b(Unfortunately)-8
40565 b(,)0 1498 y(the)31 b(simplicit)m(y)d(is)j(lost)f(when)i(studying)f(ev)
40566 m(en)m(ts)i(with)d(sev)m(eral)i(gluon)e(jets.)43 b(In)31
40567 b(general,)g(eac)m(h)h(ev)m(en)m(t)0 1607 y(will)e(con)m(tain)i(a)g(n)m
40568 (um)m(b)s(er)g(of)g(di\013eren)m(t)g(junctions,)h(resulting)e(in)g(a)h
40569 (p)s(olyp)s(o)s(d)f(shap)s(e)i(with)f(a)g(n)m(um)m(b)s(er)0
40570 1715 y(of)i(quark)h(and)f(gluons)g(strings)g(stic)m(king)g(out)g(from)f
40571 (a)h(sk)m(eleton)h(of)e(gluon)h(strings.)48 b(With)33
40572 b(the)i(shift)0 1823 y(of)e(emphasis)f(from)g(three-parton)h(to)g(m)m
40573 (ulti-parton)d(con\014gurations,)j(the)h(simple)d(option)h(existing)0
40574 1932 y(in)g Fm(Jetset)f Fw(6.3)h(therefore)i(is)e(no)g(longer)g
40575 (included.)146 2040 y(A)g(second)i(conceptual)e(w)m(eakness)i(of)e(IF)g
40576 (is)f(the)i(issue)f(of)g(collinear)d(div)m(ergences.)45
40577 b(In)33 b(a)e(parton-)0 2148 y(sho)m(w)m(er)46 b(picture,)i(where)e(a)e
40578 (quark)i(or)e(gluon)g(is)g(exp)s(ected)i(to)f(branc)m(h)g(in)m(to)f
40579 (sev)m(eral)h(reasonably)0 2257 y(collimated)31 b(partons,)k(the)g
40580 (indep)s(enden)m(t)g(fragmen)m(tation)e(of)h(one)g(single)f(parton)i
40581 (or)e(of)h(a)g(bunc)m(h)i(of)0 2365 y(collinear)30 b(ones)j(giv)m(es)f
40582 (quite)g(di\013eren)m(t)h(outcomes,)f(e.g.)44 b(with)31
40583 b(a)h(m)m(uc)m(h)h(larger)e(hadron)h(m)m(ultiplicit)m(y)0
40584 2473 y(in)26 b(the)i(latter)e(case.)43 b(It)27 b(is)f(conceiv)-5
40585 b(able)27 b(that)g(a)g(di\013eren)m(t)g(set)h(of)e(fragmen)m(tation)g
40586 (functions)h(could)f(b)s(e)0 2582 y(constructed)34 b(in)d(the)h(sho)m
40587 (w)m(er)i(case)e(in)g(order)g(to)f(circum)m(v)m(en)m(t)i(this)f
40588 (problem)e(\(lo)s(cal)g(parton{hadron)0 2690 y(dualit)m(y)i([Dok89)o(])
40589 h(w)m(ould)f(corresp)s(ond)i(to)e(ha)m(ving)g Fj(f)11
40590 b Fw(\()p Fj(z)t Fw(\))28 b(=)g Fj(\016)t Fw(\()p Fj(z)e
40591 Fn(\000)d Fw(1\)\).)0 2964 y Fp(12.4)136 b(Other)45 b(F)-11
40592 b(ragmen)l(tation)46 b(Asp)t(ects)0 3137 y Fw(Here)g(t)m(w)m(o)g(asp)s
40593 (ects)h(are)e(considered,)k(whic)m(h)d(are)g(applicable)d(regardless)j
40594 (of)e(whether)j(string)e(or)0 3245 y(indep)s(enden)m(t)34
40595 b(fragmen)m(tation)c(is)j(used.)0 3493 y Fo(12.4.1)113
40596 b(Small)35 b(mass)j(systems)0 3665 y Fw(Occasionally)-8
40597 b(,)46 b(a)f(jet)g(system)h(ma)m(y)f(ha)m(v)m(e)i(to)s(o)d(small)e(an)j
40598 (in)m(v)-5 b(arian)m(t)44 b(mass)h(for)g(the)g(ordinary)f(jet)0
40599 3774 y(fragmen)m(tation)32 b(sc)m(hemes.)48 b(This)34
40600 b(is)f(particularly)e(a)i(problem)g(when)h(sho)m(w)m(ers)i(are)e(used,)
40601 h(since)f(t)m(w)m(o)0 3882 y(nearb)m(y)47 b(g)53 b Fn(!)d
40602 Fw(q)636 3846 y Fk(0)p 660 3829 V 660 3882 a Fw(q)712
40603 3846 y Fk(0)781 3882 y Fw(branc)m(hings)d(ma)m(y)f(giv)m(e)g(rise)g(to)
40604 g(an)g(in)m(termediate)g(lo)m(w-mass)f(colour-singlet)0
40605 3990 y(system.)55 b(Before)36 b(the)h(ordinary)e(fragmen)m(tation,)g
40606 (one)i(includes)f(an)g(optional)e(additional)f(step,)38
40607 b(to)0 4099 y(catc)m(h)47 b(situations)d(of)i(this)f(kind.)83
40608 b(First)45 b(the)h(jet)g(system)h(with)e(lo)m(w)m(est)h(in)m(v)-5
40609 b(arian)m(t)45 b(mass,)k(min)m(us)0 4207 y(endp)s(oin)m(t)37
40610 b(quark)h(masses,)i(is)c(found.)58 b(If)37 b(this)g(is)g(to)s(o)g(lo)m
40611 (w)f(for)h(jet)g(fragmen)m(tation,)g(an)g(attempt)g(is)0
40612 4316 y(made)30 b(to)g(split)f(the)i(system)g(in)m(to)f(t)m(w)m(o)h
40613 (hadrons)f(b)m(y)i(pro)s(ducing)d(a)h(new)i(q)2739 4331
40614 y Fh(n)p 2786 4263 V 2786 4316 a Fw(q)2838 4339 y Fh(n)2915
40615 4316 y Fw(pair)d(\(with)h(q)3422 4331 y Fh(n)3500 4316
40616 y Fw(c)m(hosen)0 4424 y(according)k(to)g(the)h(standard)g(fragmen)m
40617 (tation)e(sc)m(heme,)k(so)d(that)h(e.g.)50 b(also)33
40618 b(diquarks)j(are)e(allo)m(w)m(ed\))0 4532 y(to)e(go)g(with)g(the)h
40619 (existing)f(endp)s(oin)m(t)h(\015a)m(v)m(ours.)45 b(If)32
40620 b(the)h(sum)f(of)g(the)h(t)m(w)m(o)h(th)m(us)f(constructed)h(hadron)0
40621 4641 y(masses)k(is)f(smaller)f(than)h(the)h(total)e(in)m(v)-5
40622 b(arian)m(t)36 b(mass,)j(a)e(simple)f(isotropic)g(t)m(w)m(o-particle)g
40623 (deca)m(y)j(is)0 4749 y(p)s(erformed.)55 b(If)37 b(not,)h(the)f(endp)s
40624 (oin)m(t)g(\015a)m(v)m(ours)h(are)e(com)m(bined)h(to)f(giv)m(e)h(one)g
40625 (single)f(hadron.)56 b(Next,)0 4857 y(the)33 b(parton)f(\(or)f
40626 (hadron\))i(is)e(found)i(whic)m(h,)f(when)i(tak)m(en)f(together)f(with)
40627 g(the)h(jet)f(system,)h(has)g(the)0 4966 y(largest)i(in)m(v)-5
40628 b(arian)m(t)35 b(mass.)54 b(A)36 b(minimal)c(transfer)k(of)g
40629 (four-momen)m(tum)d(is)j(then)g(p)s(erformed,)h(whic)m(h)0
40630 5074 y(puts)28 b(the)g(hadron)f(on)h(mass)f(shell)f(while)h(k)m(eeping)
40631 h(the)g(mass)f(of)g(the)h(parton)f(unc)m(hanged.)43 b(With)27
40632 b(this)0 5182 y(done,)37 b(one)f(ma)m(y)f(again)f(searc)m(h)j(for)e(a)g
40633 (lo)m(w-mass)g(jet)g(system,)j(and)d(iterate)g(the)h(pro)s(cedure)h(ab)
40634 s(o)m(v)m(e,)0 5291 y(if)h(need)j(b)s(e.)64 b(The)40
40635 b(pro)s(cedure)g(ma)m(y)f(b)s(e)h(seen)g(as)g(a)f(`p)s(o)s(or)f(man's)i
40636 (cluster)f(fragmen)m(tation',)g(i.e.)64 b(a)0 5399 y(cluster)33
40637 b(and)g(a)f(lo)m(w-mass)g(string)f(are)i(considered)g(to)g(b)s(e)f
40638 (more)g(or)h(less)g(the)g(same)f(thing.)1817 5953 y(243)p
40639 eop
40640 %%Page: 244 250
40641 244 249 bop 0 -18 a Fo(12.4.2)113 b(Bose{Einstein)35
40642 b(e\013ects)0 154 y Fw(A)28 b(crude)h(option)d(for)h(the)i(sim)m
40643 (ulation)24 b(of)k(Bose{Einstein)g(e\013ects)h(is)e(included,)h(but)g
40644 (is)g(turned)g(o\013)g(b)m(y)0 263 y(default.)48 b(Here)35
40645 b(the)g(detailed)e(ph)m(ysics)j(is)e(not)g(that)g(w)m(ell)g(understo)s
40646 (o)s(d,)h(see)g(e.g.)49 b([L\177)-49 b(or89].)49 b(What)34
40647 b(is)0 371 y(o\013ered)29 b(is)f(an)g(algorithm,)e(more)h(than)i(just)f
40648 (a)h(parametrization)c(\(since)k(v)m(ery)h(sp)s(eci\014c)f(assumptions)
40649 0 479 y(and)e(c)m(hoices)g(ha)m(v)m(e)h(b)s(een)f(made\),)g(and)g(y)m
40650 (et)g(less)g(than)f(a)h(true)f(mo)s(del)f(\(since)i(the)g(underlying)f
40651 (ph)m(ysics)0 588 y(picture)k(is)f(rather)h(fuzzy\).)44
40652 b(In)30 b(this)f(sc)m(heme,)j(the)e(fragmen)m(tation)e(is)i(allo)m(w)m
40653 (ed)f(to)g(pro)s(ceed)i(as)f(usual,)0 696 y(and)39 b(so)h(is)f(the)g
40654 (deca)m(y)i(of)e(short-liv)m(ed)f(particles)h(lik)m(e)f
40655 Fj(\032)p Fw(.)64 b(Then)40 b(pairs)f(of)g(iden)m(tical)e(particles,)k
40656 Fj(\031)3721 660 y Fl(+)0 804 y Fw(sa)m(y)-8 b(,)34 b(are)e(considered)
40657 i(one)e(b)m(y)i(one.)44 b(The)33 b Fj(Q)1636 819 y Fh(ij)1729
40658 804 y Fw(v)-5 b(alue)32 b(of)h(a)f(pair)f Fj(i)i Fw(and)g
40659 Fj(j)38 b Fw(is)32 b(ev)-5 b(aluated,)1337 1050 y Fj(Q)1414
40660 1065 y Fh(ij)1503 1050 y Fw(=)1606 947 y Fg(q)p 1689
40661 947 694 4 v 103 x Fw(\()p Fj(p)1776 1065 y Fh(i)1827
40662 1050 y Fw(+)22 b Fj(p)1974 1065 y Fh(j)2010 1050 y Fw(\))2048
40663 1021 y Fl(2)2110 1050 y Fn(\000)g Fw(4)p Fj(m)2343 1021
40664 y Fl(2)2415 1050 y Fj(;)1115 b Fw(\(197\))0 1275 y(where)37
40665 b Fj(m)f Fw(is)f(the)h(common)e(particle)g(mass.)53 b(A)36
40666 b(shifted)f(\(smaller\))f Fj(Q)2635 1239 y Fk(0)2635
40667 1300 y Fh(ij)2731 1275 y Fw(is)h(then)h(to)g(b)s(e)f(found)h(suc)m(h)0
40668 1396 y(that)29 b(the)g(\(in\014nite)f(statistics\))g(ratio)f
40669 Fj(C)1478 1411 y Fl(2)1518 1396 y Fw(\()p Fj(Q)p Fw(\))i(of)f(shifted)h
40670 (to)f(unshifted)i Fj(Q)f Fw(distributions)e(is)i(giv)m(en)g(b)m(y)0
40671 1504 y(the)g(requested)j(parametrization.)39 b(The)30
40672 b(shap)s(e)g(ma)m(y)f(b)s(e)g(c)m(hosen)i(either)e(exp)s(onen)m(tial)f
40673 (or)h(Gaussian,)928 1712 y Fj(C)998 1727 y Fl(2)1038
40674 1712 y Fw(\()p Fj(Q)p Fw(\))e(=)h(1)22 b(+)g Fj(\025)17
40675 b Fw(exp)g(\()p Fn(\000)p Fw(\()p Fj(Q=d)p Fw(\))2098
40676 1671 y Fh(r)2136 1712 y Fw(\))g Fj(;)146 b(r)31 b Fw(=)c(1)33
40677 b(or)f(2)g Fj(:)706 b Fw(\(198\))0 1920 y(\(In)42 b(fact,)i(the)f
40678 (distribution)d(has)i(to)g(dip)f(sligh)m(tly)f(b)s(elo)m(w)i(unit)m(y)g
40679 (at)g Fj(Q)g Fw(v)-5 b(alues)42 b(outside)f(the)i(Bose)0
40680 2029 y(enhancemen)m(t)32 b(region,)f(from)e(conserv)-5
40681 b(ation)31 b(of)f(total)g(m)m(ultiplicit)m(y)-8 b(.\))39
40682 b(If)31 b(the)g(inclusiv)m(e)f(distribution)0 2137 y(of)k
40683 Fj(Q)190 2152 y Fh(ij)285 2137 y Fw(v)-5 b(alues)34 b(is)g(assumed)h
40684 (giv)m(en)g(just)g(b)m(y)g(phase)g(space,)h(at)e(least)g(at)g(small)e
40685 (relativ)m(e)i(momen)m(tum)0 2257 y(then,)d(with)e(d)520
40686 2221 y Fl(3)560 2257 y Fj(p=E)k Fn(/)28 b Fj(Q)945 2221
40687 y Fl(2)1002 2257 y Fw(d)p Fj(Q=)1182 2181 y Fn(p)p 1265
40688 2181 411 4 v 76 x Fj(Q)1342 2228 y Fl(2)1404 2257 y Fw(+)22
40689 b(4)p Fj(m)1636 2228 y Fl(2)1675 2257 y Fw(,)30 b(then)h
40690 Fj(Q)2029 2221 y Fk(0)2029 2282 y Fh(ij)2119 2257 y Fw(is)e(found)h(as)
40691 f(the)h(solution)f(to)g(the)h(equation)928 2432 y Fg(Z)1011
40692 2458 y Fh(Q)1067 2468 y Fe(ij)974 2620 y Fl(0)1266 2482
40693 y Fj(Q)1343 2445 y Fl(2)1399 2482 y Fw(d)p Fj(Q)p 1151
40694 2526 494 4 v 1151 2544 a Fn(p)p 1235 2544 411 4 v 1235
40695 2620 a Fj(Q)1312 2591 y Fl(2)1373 2620 y Fw(+)22 b(4)p
40696 Fj(m)1605 2591 y Fl(2)1683 2549 y Fw(=)1786 2432 y Fg(Z)1869
40697 2458 y Fh(Q)1925 2435 y Fd(0)1925 2481 y Fe(ij)1832 2620
40698 y Fl(0)2000 2549 y Fj(C)2070 2564 y Fl(2)2109 2549 y
40699 Fw(\()p Fj(Q)p Fw(\))2403 2482 y Fj(Q)2480 2445 y Fl(2)2537
40700 2482 y Fw(d)p Fj(Q)p 2289 2526 494 4 v 2289 2544 a Fn(p)p
40701 2372 2544 411 4 v 76 x Fj(Q)2449 2591 y Fl(2)2511 2620
40702 y Fw(+)g(4)p Fj(m)2743 2591 y Fl(2)2825 2549 y Fj(:)705
40703 b Fw(\(199\))0 2816 y(The)38 b(c)m(hange)h(of)d Fj(Q)725
40704 2831 y Fh(ij)824 2816 y Fw(can)h(b)s(e)h(translated)f(in)m(to)f(an)i
40705 (e\013ectiv)m(e)g(shift)f(of)g(the)h(three-momen)m(ta)e(of)h(the)0
40706 2925 y(t)m(w)m(o)c(particles,)f(if)f(one)i(uses)h(as)f(extra)g
40707 (constrain)m(t)f(that)h(the)g(total)e(three-momen)m(tum)g(of)h(eac)m(h)
40708 i(pair)0 3033 y(b)s(e)40 b(conserv)m(ed)i(in)c(the)i(c.m.)64
40709 b(frame)39 b(of)g(the)h(ev)m(en)m(t.)66 b(Only)39 b(after)g(all)f
40710 (pairwise)g(momen)m(tum)h(shifts)0 3141 y(ha)m(v)m(e)e(b)s(een)f(ev)-5
40711 b(aluated,)36 b(with)f(resp)s(ect)i(to)e(the)h(original)c(momen)m(ta,)j
40712 (are)h(these)g(momen)m(ta)f(actually)0 3250 y(shifted,)f(for)e(eac)m(h)
40713 j(particle)c(b)m(y)k(the)e(sum)h(of)e(ev)-5 b(aluated)33
40714 b(shifts.)46 b(The)34 b(total)e(energy)i(of)f(the)h(ev)m(en)m(t)h(is)0
40715 3358 y(sligh)m(tly)g(reduced)j(in)e(the)h(pro)s(cess,)h(whic)m(h)f(is)f
40716 (comp)s(ensated)h(b)m(y)h(an)e(o)m(v)m(erall)g(rescaling)f(of)h(all)f
40717 (c.m.)0 3466 y(frame)h(momen)m(tum)f(v)m(ectors.)57 b(It)37
40718 b(can)f(b)s(e)h(discussed)h(whic)m(h)g(are)e(the)h(particles)f(to)g(in)
40719 m(v)m(olv)m(e)h(in)f(this)0 3575 y(rescaling.)66 b(Curren)m(tly)41
40720 b(the)f(only)g(exceptions)h(to)f(using)g(ev)m(erything)i(are)e(leptons)
40721 g(and)g(neutrinos)0 3683 y(coming)g(from)g(resonance)i(deca)m(ys)h
40722 (\(suc)m(h)g(as)f(W)q('s\))g(and)f(photons)h(radiated)f(b)m(y)h
40723 (leptons)f(\(also)f(in)0 3791 y(initial)26 b(state)k(radiation\).)40
40724 b(Finally)-8 b(,)27 b(the)j(deca)m(y)h(c)m(hain)f(is)f(resumed)h(with)f
40725 (more)g(long-liv)m(ed)e(particles)0 3900 y(lik)m(e)32
40726 b Fj(\031)238 3864 y Fl(0)277 3900 y Fw(.)146 4008 y(Tw)m(o)f(commen)m
40727 (ts)e(can)h(b)s(e)g(made.)42 b(The)31 b(Bose{Einstein)f(e\013ect)g(is)f
40728 (here)i(in)m(terpreted)f(almost)e(as)i(a)0 4117 y(classical)20
40729 b(force)j(acting)e(on)h(the)g(`\014nal)f(state',)k(rather)d(than)g(as)g
40730 (a)g(quan)m(tum)g(mec)m(hanical)f(phenomenon)0 4225 y(on)43
40731 b(the)g(pro)s(duction)e(amplitude.)72 b(This)43 b(is)f(not)g(a)h
40732 (credo,)i(but)e(just)g(an)g(ansatz)g(to)f(mak)m(e)h(things)0
40733 4333 y(manageable.)51 b(Also,)36 b(since)g(only)f(pairwise)g(in)m
40734 (teractions)g(are)h(considered,)i(the)e(e\013ects)h(asso)s(ciated)0
40735 4442 y(with)42 b(three)i(or)e(more)g(nearb)m(y)i(particles)e(tend)h(to)
40736 g(get)g(o)m(v)m(erestimated.)74 b(\(More)43 b(exact,)j(but)d(also)0
40737 4550 y(more)e(time-consuming)e(metho)s(ds)i(ma)m(y)g(b)s(e)h(found)g
40738 (in)e([Za)5 b(j87].\))70 b(Th)m(us)43 b(the)f(input)f
40739 Fj(\025)g Fw(ma)m(y)g(ha)m(v)m(e)0 4658 y(to)35 b(b)s(e)g(c)m(hosen)i
40740 (smaller)d(than)h(what)g(one)h(w)m(an)m(ts)h(to)e(get)g(out.)51
40741 b(\(On)36 b(the)f(other)h(hand,)g(man)m(y)f(of)g(the)0
40742 4767 y(pairs)c(of)h(an)f(ev)m(en)m(t)j(con)m(tains)e(at)f(least)h(one)g
40743 (particle)e(pro)s(duced)j(in)e(some)h(secondary)h(v)m(ertex,)h(lik)m(e)
40744 d(a)0 4875 y(D)37 b(deca)m(y)-8 b(.)61 b(This)38 b(reduces)i(the)e
40745 (fraction)f(of)g(pairs)g(whic)m(h)i(ma)m(y)e(con)m(tribute)i(to)e(the)h
40746 (Bose{Einstein)0 4983 y(e\013ects,)33 b(and)e(th)m(us)h(reduces)h(the)f
40747 (p)s(oten)m(tial)d(signal.\))41 b(This)32 b(option)e(should)h
40748 (therefore)g(b)s(e)h(used)g(with)0 5092 y(caution,)g(and)h(only)f(as)g
40749 (a)h(\014rst)g(appro)m(ximation)d(to)i(what)h(Bose{Einstein)g
40750 (e\013ects)h(can)f(mean.)1817 5953 y(244)p eop
40751 %%Page: 245 251
40752 245 250 bop 0 -18 a Ft(13)161 b(P)l(articles)54 b(and)g(Their)g(Deca)l
40753 (ys)0 189 y Fw(P)m(articles)43 b(are)g(the)g(building)e(blo)s(c)m(ks)j
40754 (from)e(whic)m(h)h(ev)m(en)m(ts)j(are)d(constructed.)77
40755 b(W)-8 b(e)43 b(here)h(use)g(the)0 297 y(w)m(ord)37 b(`particle')e(in)g
40756 (its)h(broadest)h(sense,)i(i.e.)54 b(including)34 b(partons,)j
40757 (resonances,)i(hadrons,)f(and)e(so)0 405 y(on,)k(subgroups)f(w)m(e)g
40758 (will)d(describ)s(e)j(in)e(the)i(follo)m(wing.)57 b(Eac)m(h)39
40759 b(particle)e(is)h(c)m(haracterized)h(b)m(y)g(some)0 514
40760 y(quan)m(tities,)33 b(suc)m(h)i(as)e(c)m(harge)h(and)f(mass.)45
40761 b(In)34 b(addition,)d(man)m(y)i(of)g(the)h(particles)e(are)h(unstable)g
40762 (and)0 622 y(subsequen)m(tly)27 b(deca)m(y)-8 b(.)42
40763 b(This)25 b(section)g(con)m(tains)f(a)h(surv)m(ey)h(of)e(the)h
40764 (particle)e(con)m(ten)m(t)j(of)e(the)h(programs,)0 730
40765 y(and)e(the)h(particle)e(prop)s(erties)i(assumed.)41
40766 b(In)23 b(particular,)h(the)g(deca)m(y)h(treatmen)m(t)e(is)g
40767 (discussed.)42 b(Some)0 839 y(particle)35 b(and)h(deca)m(y)i(prop)s
40768 (erties)e(form)f(part)h(already)g(of)g(the)h(hard)f(subpro)s(cess)i
40769 (description,)f(and)0 947 y(are)c(therefore)g(describ)s(ed)g(in)f
40770 (sections)h(6,)g(7)f(and)g(8.)0 1221 y Fp(13.1)136 b(The)44
40771 b(P)l(article)j(Con)l(ten)l(t)0 1394 y Fw(In)g(order)f(to)g(describ)s
40772 (e)h(b)s(oth)f(curren)m(t)i(and)e(p)s(oten)m(tial)f(future)h(ph)m
40773 (ysics,)52 b(a)46 b(n)m(um)m(b)s(er)g(of)g(di\013eren)m(t)0
40774 1502 y(particles)35 b(are)h(needed.)54 b(A)36 b(list)e(of)i(some)f
40775 (particles,)h(along)e(with)i(their)f(co)s(des,)i(is)e(giv)m(en)h(in)f
40776 (section)0 1610 y(5.1.)43 b(Here)33 b(w)m(e)h(therefore)f(emphasize)g
40777 (the)g(generalit)m(y)f(rather)g(than)h(the)g(details.)146
40778 1719 y(F)-8 b(our)44 b(full)e(generations)i(of)f(quarks)j(and)e
40779 (leptons)g(are)g(included)f(in)h(the)g(program,)i(although)0
40780 1827 y(indications)h(from)g(LEP)j(strongly)e(suggest)h(that)g(only)f
40781 (three)h(exist)g(in)f(Nature.)92 b(There)50 b(is)f(no)0
40782 1935 y(standard)37 b(terminology)d(for)i(the)h(fourth)f(generation;)i
40783 (w)m(e)g(use)f(l)f(for)g(the)g(do)m(wn)i(t)m(yp)s(e)f(quark)h(\(l)d
40784 (for)0 2044 y(lo)m(w\),)26 b(h)f(for)g(the)g(up)g(t)m(yp)s(e)h(quark)g
40785 (\(h)f(for)f(high\),)i Fj(\037)f Fw(for)f(the)i(lepton)e(and)h
40786 Fj(\027)2672 2059 y Fh(\037)2745 2044 y Fw(for)g(the)g(neutrino.)41
40787 b(Quarks)0 2152 y(ma)m(y)33 b(app)s(ear)g(either)g(singly)f(or)h(in)f
40788 (pairs;)h(the)h(latter)e(are)h(called)f(diquarks)i(and)f(are)h(c)m
40789 (haracterized)0 2260 y(b)m(y)39 b(their)f(\015a)m(v)m(our)h(con)m(ten)m
40790 (t)h(and)e(their)g(spin.)60 b(A)39 b(diquark)f(is)g(alw)m(a)m(ys)h
40791 (assumed)g(to)e(b)s(e)i(in)e(a)h(colour)0 2369 y(an)m(titriplet)30
40792 b(state.)146 2477 y(F)-8 b(rom)25 b(the)i(coloured)f(quarks)i(\(and)e
40793 (diquarks\),)i(the)f(colour)f(neutral)f(hadrons)i(ma)m(y)f(b)s(e)h
40794 (build)e(up.)0 2585 y(Six)k(full)f(meson)i(m)m(ultiplets)d(are)j
40795 (included)f(and)h(t)m(w)m(o)g(bary)m(on)h(ones,)g(see)g(section)e
40796 (12.1.)42 b(In)30 b(addition,)0 2714 y(K)76 2678 y Fl(0)76
40797 2739 y(S)148 2714 y Fw(and)f(K)410 2678 y Fl(0)410 2739
40798 y(L)486 2714 y Fw(are)g(considered)h(as)f(separate)g(particles)f
40799 (coming)f(from)g(the)j(`deca)m(y')g(of)e(K)3230 2678
40800 y Fl(0)3298 2714 y Fw(and)p 3484 2636 76 4 v 29 w(K)3560
40801 2656 y Fl(0)3628 2714 y Fw(\(or,)0 2822 y(o)s(ccasionally)-8
40802 b(,)30 b(pro)s(duced)k(directly\).)146 2931 y(Other)49
40803 b(particles)e(from)g(the)i(Standard)g(Mo)s(del)e(include)h(the)h(gluon)
40804 e(g)q(,)53 b(the)48 b(photon)h Fj(\015)5 b Fw(,)52 b(the)0
40805 3039 y(in)m(termediate)21 b(gauge)h(b)s(osons)h(Z)1190
40806 3003 y Fl(0)1252 3039 y Fw(and)f(W)1532 3003 y Fk(\006)1592
40807 3039 y Fw(,)i(and)f(the)g(standard)g(Higgs)e(H)2709 3003
40808 y Fl(0)2749 3039 y Fw(.)40 b(Non-standard)22 b(particles)0
40809 3148 y(include)36 b(additional)d(gauge)j(b)s(osons,)h(Z)1493
40810 3111 y Fk(0)p Fl(0)1588 3148 y Fw(and)f(W)1882 3111 y
40811 Fk(0\006)1961 3148 y Fw(,)h(additional)c(Higgs)i(b)s(osons)i(H)3156
40812 3111 y Fk(0)p Fl(0)3214 3148 y Fw(,)g(A)3351 3111 y Fl(0)3427
40813 3148 y Fw(and)f(H)3693 3111 y Fk(\006)3752 3148 y Fw(,)0
40814 3256 y(a)f(lepto)s(quark)g(L)638 3271 y Fl(Q)732 3256
40815 y Fw(and)g(a)g(horizon)m(tal)f(gauge)h(b)s(oson)g(R)2102
40816 3220 y Fl(0)2141 3256 y Fw(.)52 b(It)35 b(is)f(also)h(p)s(ossible)f(to)
40817 h(use)h(the)g(particle)0 3364 y(co)s(des)f(of)f(the)h(curren)m(t)h
40818 (fourth)f(generation)e(fermions)h(to)g(represen)m(t)j(excited)e(quarks)
40819 h(and)e(leptons,)0 3473 y(q)51 3436 y Fk(\003)123 3473
40820 y Fw(and)f Fj(`)354 3436 y Fk(\003)393 3473 y Fw(.)146
40821 3581 y(F)-8 b(rom)28 b(the)h(p)s(oin)m(t)e(of)i(view)g(of)f(usage)h
40822 (inside)f(the)h(programs,)g(particles)f(ma)m(y)g(b)s(e)h(sub)s(divided)
40823 g(in)m(to)0 3689 y(three)k(classes,)h(partly)e(o)m(v)m(erlapping.)119
40824 3802 y(1.)49 b(A)33 b(parton)g(is)f(generically)g(an)m(y)i(ob)5
40825 b(ject)33 b(whic)m(h)h(ma)m(y)f(b)s(e)g(found)g(in)g(the)g(w)m(a)m(v)m
40826 (e)i(function)d(of)h(the)244 3911 y(incoming)23 b(b)s(eams,)k(and)f(ma)
40827 m(y)g(participate)e(in)h(initial-)d(or)j(\014nal-state)g(sho)m(w)m
40828 (ers.)44 b(This)26 b(includes)244 4019 y(what)38 b(is)f(normally)f
40829 (mean)m(t)h(b)m(y)i(partons,)g(i.e.)59 b(quarks)39 b(and)f(gluons,)g
40830 (but)g(here)h(also)d(leptons)244 4127 y(and)25 b(photons.)42
40831 b(In)26 b(a)f(few)g(cases)i(other)f(particles)e(ma)m(y)h(b)s(e)h
40832 (classi\014ed)f(as)h(partons)f(in)g(this)g(sense.)119
40833 4245 y(2.)49 b(A)28 b(resonance)i(is)d(an)h(unstable)h(particle)e(pro)s
40834 (duced)i(as)f(part)g(of)g(the)g(hard)h(pro)s(cess,)h(and)e(where)244
40835 4353 y(the)39 b(deca)m(y)h(treatmen)m(t)f(normally)d(is)i(also)g(part)g
40836 (of)g(the)h(hard)g(pro)s(cess.)63 b(Resonance)40 b(partial)244
40837 4462 y(widths)47 b(are)g(p)s(erturbativ)m(ely)g(calculable,)h(and)f
40838 (therefore)h(it)e(is)g(p)s(ossible)g(to)h(dynamically)244
40839 4570 y(recalculate)29 b(branc)m(hing)h(ratios)f(as)h(a)f(function)h(of)
40840 f(the)h(mass)g(assigned)g(to)g(a)f(resonance.)44 b(Res-)244
40841 4678 y(onances)e(includes)f(particles)g(lik)m(e)g(the)g(Z)1823
40842 4642 y Fl(0)1904 4678 y Fw(and)g(other)g(massiv)m(e)h(gauge)f(b)s
40843 (osons)h(and)f(Higgs)244 4787 y(particles.)53 b(It)37
40844 b(do)s(es)f(not)g(include)g(hadrons)h(with)f(non-v)-5
40845 b(anishing)34 b(width,)j(lik)m(e)f(the)g Fj(\032)p Fw(,)i(whic)m(h)244
40846 4895 y(are)32 b(just)h(called)f(`unstable)h(hadrons'.)119
40847 5013 y(3.)49 b(Hadrons,)33 b(i.e.)43 b(mesons)34 b(and)f(bary)m(ons)g
40848 (pro)s(duced)h(either)e(in)g(the)h(fragmen)m(tation)e(pro)s(cess,)j(in)
40849 244 5121 y(secondary)43 b(deca)m(ys)g(or)f(as)f(part)h(of)f(the)h(b)s
40850 (eam)f(remnan)m(t)g(treatmen)m(t,)j(but)e(not)f(directly)g(as)244
40851 5230 y(part)g(of)g(the)h(hard)f(pro)s(cess)i(\(except)g(in)e(a)g(few)h
40852 (sp)s(ecial)e(cases\).)72 b(Hadrons)42 b(ma)m(y)f(b)s(e)h(stable)244
40853 5338 y(or)c(unstable.)60 b(Branc)m(hing)38 b(ratios)g(are)g(not)g
40854 (assumed)h(p)s(erturbativ)m(ely)f(calculable,)g(and)g(can)244
40855 5446 y(therefore)33 b(b)s(e)f(set)h(freely)-8 b(.)43
40856 b(Also)31 b(leptons)h(and)g(photons)h(pro)s(duced)g(in)e(deca)m(ys)j(b)
40857 s(elong)d(to)h(this)244 5555 y(class.)1817 5953 y(245)p
40858 eop
40859 %%Page: 246 252
40860 246 251 bop 146 -18 a Fw(Usually)42 b(the)g(sub)s(division)f(ab)s(o)m
40861 (v)m(e)i(is)e(easy)j(to)d(understand)j(and)e(giv)m(es)g(y)m(ou)h(the)f
40862 (con)m(trol)g(y)m(ou)0 90 y(w)m(ould)33 b(exp)s(ect.)45
40863 b(Ho)m(w)m(ev)m(er,)36 b(the)d(classi\014cation)e(of)h(top)h(and)g(the)
40864 g(fourth)g(generation)f(fermions)g(ma)m(y)0 198 y(lead)f(to)h(some)g
40865 (confusion,)g(as)g(already)f(men)m(tioned,)h(section)g(8.2.2.)43
40866 b(The)32 b(problem)f(is)h(that)f(the)i(top)0 307 y(did)e(not)h(use)h
40867 (to)e(b)s(e)h(treated)h(as)f(a)f(resonance,)j(but)e(w)m(as)h(rather)f
40868 (allo)m(w)m(ed)f(to)g(fragmen)m(t)g(to)h(hadrons,)0 415
40869 y(whic)m(h)d(subsequen)m(tly)h(deca)m(y)m(ed.)45 b(This)28
40870 b(approac)m(h)g(w)m(as)h(a)f(reasonable)g(c)m(hoice)h(in)e(the)i(da)m
40871 (ys)g(when)g(the)0 523 y(top)c(mass)f(w)m(as)i(assumed)g(quite)e(ligh)m
40872 (t)f(b)m(y)j(to)s(da)m(y's)f(standards.)42 b(Ho)m(w)m(ev)m(er,)29
40873 b(giv)m(en)c(curren)m(t)h(top)e(limits,)0 632 y(the)29
40874 b(fragmen)m(tation)e(and)h(the)h(deca)m(y)h(of)e(the)h(top)f(quark)i
40875 (is)e(b)s(eing)g(pla)m(y)m(ed)h(out)f(on)h(comparable)e(time)0
40876 740 y(scales,)42 b(and)d(the)h(treatmen)m(t)f(b)s(ecomes)g(m)m(uc)m(h)h
40877 (more)f(di\016cult)f(\(see)j(e.g.)63 b(ref.)h([Sj\177)-49
40878 b(o92a)o(])39 b(for)g(a)g(to)m(y)0 848 y(mo)s(del)29
40879 b(description\).)43 b(Starting)30 b(at)h(masses)g(of)g(around)g(120)g
40880 (GeV)g(the)g(top)g(deca)m(y)i(time)c(is)i(so)g(short)0
40881 957 y(that)23 b(no)f(top)h(hadrons)h(at)e(all)f(are)i(formed,)h(and)f
40882 (then)g(a)g(true)g(resonance)h(description)f(is)f(appropriate,)0
40883 1065 y(but)40 b(still)d(with)j(some)f(complications)f(due)i(to)g(the)g
40884 (net)g(colour)f(c)m(harge)h(of)g(the)g(top)f(quark.)66
40885 b(Suc)m(h)0 1173 y(an)40 b(option)e(is)h(no)m(w)i(default,)g(wherein)f
40886 (the)g(top)f(quark)i(is)e(assumed)h(to)g(deca)m(y)h(immediately)-8
40887 b(,)38 b(but)0 1282 y(in)m(termediate)28 b(scenarios)h(can)g(not)g(b)s
40888 (e)g(mo)s(delled.)41 b(The)29 b(app)s(earance)h(of)e(in)m(termediate)g
40889 (top)h(hadrons)0 1390 y(in)j(the)h(description)f(has)h(little)d
40890 (in\015uence)j(on)g(ev)m(en)m(t)h(shap)s(es,)g(ev)m(en)g(for)e(a)h(v)m
40891 (ery)h(hea)m(vy)g(top.)0 1663 y Fp(13.2)136 b(Masses,)45
40892 b(Widths)g(and)g(Lifetimes)0 1836 y Fo(13.2.1)113 b(Masses)0
40893 2008 y Fw(Quark)37 b(masses)h(are)f(not)g(particularly)e(w)m(ell)h
40894 (de\014ned.)59 b(In)37 b(the)h(program)e(it)g(is)g(necessary)k(to)c
40895 (mak)m(e)0 2117 y(use)k(of)f(t)m(w)m(o)h(kinds)f(of)g(masses,)i(curren)
40896 m(t)g(algebra)d(ones)h(and)h(constituen)m(t)f(ones.)64
40897 b(The)40 b(former)e(are)0 2225 y(relev)-5 b(an)m(t)30
40898 b(for)g(the)h(kinematics)e(in)h(hard)g(pro)s(cesses)i(\(e.g.)43
40899 b(in)30 b(gg)e Fn(!)g Fw(c)p 2554 2172 44 4 v(c\))j(and)f(for)g
40900 (couplings)f(to)h(Higgs)0 2333 y(particles,)43 b(and)e(therefore)g
40901 (directly)g(a\013ect)g(cross)i(sections.)69 b(These)43
40902 b(v)-5 b(alues)41 b(are)g(the)h(ones)g(stored)0 2442
40903 y(in)e(the)h(standard)g(mass)g(arra)m(y)h Fq(PMAS)p Fw(.)g(Constituen)m
40904 (t)g(masses)g(are)e(used)i(to)f(deriv)m(e)g(the)g(masses)h(of)0
40905 2550 y(hadrons,)g(and)d(are)g(stored)h(separately)g(in)f(the)g
40906 Fq(PARF)i Fw(arra)m(y)-8 b(.)64 b(W)-8 b(e)39 b(main)m(tain)e(this)i
40907 (distinction)f(for)0 2658 y(the)33 b(\014v)m(e)h(\014rst)f(\015a)m(v)m
40908 (ours,)h(using)e(the)h(follo)m(wing)d(v)-5 b(alues)33
40909 b(b)m(y)g(default:)50 2774 y(quark)100 b(curren)m(t)34
40910 b(algebra)d(mass)100 b(constituen)m(t)33 b(mass)145 2894
40911 y(d)390 b(0.0099)31 b(GeV)428 b(0.325)32 b(GeV)145 3015
40912 y(u)390 b(0.0056)31 b(GeV)428 b(0.325)32 b(GeV)153 3135
40913 y(s)422 b(0.199)32 b(GeV)501 b(0.5)32 b(GeV)150 3255
40914 y(c)444 b(1.35)32 b(GeV)526 b(1.6)32 b(GeV)145 3376 y(b)463
40915 b(5.0)32 b(GeV)537 b(5.0)32 b(GeV.)0 3486 y(F)-8 b(or)42
40916 b(top)g(and)h(fourth)g(generation)f(quarks)i(the)f(distinction)e(is)h
40917 (not)h(as)g(imp)s(ortan)m(t,)g(so)g(only)f(one)0 3594
40918 y(set)f(of)f(mass)h(v)-5 b(alues)40 b(is)g(used,)k(namely)39
40919 b(the)i(one)g(in)e Fq(PMAS)p Fw(.)j(The)f(default)f(top)g(mass)h(is)f
40920 (160)f(GeV.)0 3702 y(Constituen)m(t)f(masses)g(for)f(diquarks)h(are)f
40921 (de\014ned)i(as)e(the)h(sum)f(of)g(the)h(resp)s(ectiv)m(e)g(quark)h
40922 (masses.)0 3811 y(The)34 b(gluon)d(is)h(alw)m(a)m(ys)h(assumed)h
40923 (massless.)146 3919 y(P)m(article)i(masses,)j(when)f(kno)m(wn,)i(are)d
40924 (tak)m(en)g(from)f(ref.)57 b([PDG92)o(].)f(Hyp)s(othesized)38
40925 b(particles,)0 4027 y(suc)m(h)30 b(as)e(fourth)h(generation)e(fermions)
40926 h(and)g(Higgs)g(b)s(osons,)i(are)e(assigned)h(some)f(not)g
40927 (unreasonable)0 4136 y(set)40 b(of)e(default)g(v)-5 b(alues,)41
40928 b(in)d(the)h(sense)i(of)e(where)h(y)m(ou)f(w)m(an)m(t)h(to)f(searc)m(h)
40929 h(for)e(them)h(in)f(the)i(not)e(to)s(o)0 4244 y(distan)m(t)g(future.)61
40930 b(Here)39 b(it)f(is)f(understo)s(o)s(d)i(that)f(y)m(ou)h(will)d(go)i
40931 (in)g(and)g(c)m(hange)h(the)g(default)f(v)-5 b(alues)0
40932 4352 y(according)32 b(to)g(y)m(our)h(o)m(wn)h(opinions)d(at)h(the)h(b)s
40933 (eginning)e(of)h(a)h(run.)146 4461 y(The)i(total)e(n)m(um)m(b)s(er)h
40934 (of)g(hadrons)g(in)g(the)g(program)f(is)h(v)m(ery)h(large,)f(whereof)g
40935 (man)m(y)g(are)h(not)e(y)m(et)0 4569 y(disco)m(v)m(ered)42
40936 b(\(lik)m(e)d(c)m(harm)h(and)g(b)s(ottom)e(bary)m(ons\))j(and)f(other)g
40937 (ma)m(y)g(or)g(ma)m(y)g(not)f(exist)i(\(top)e(and)0 4677
40938 y(fourth)30 b(generation)g(hadrons\).)43 b(In)31 b(particular)e(for)h
40939 (the)h(latter,)f(it)f(w)m(ould)h(b)s(e)h(messy)h(for)e(the)g(user)i(to)
40940 0 4786 y(ha)m(v)m(e)k(to)e(recalculate)g(the)i(masses)f(of)f(hadron)h
40941 (eac)m(h)h(time)d(the)i(assumed)h(quark)f(mass)g(is)f(c)m(hanged.)0
40942 4894 y(Therefore)d(the)g(masses)g(of)e(y)m(et)i(undisco)m(v)m(ered)i
40943 (mesons)d(and)h(bary)m(ons)g(are)f(built)e(up,)k(when)f(needed,)0
40944 5003 y(from)g(the)i(constituen)m(t)h(masses.)44 b(F)-8
40945 b(or)32 b(this)g(purp)s(ose)h(one)g(uses)h(form)m(ulae)d(of)h(the)h(t)m
40946 (yp)s(e)h([DeR75)o(])1079 5270 y Fj(m)28 b Fw(=)f Fj(m)1380
40947 5285 y Fl(0)1442 5270 y Fw(+)1540 5187 y Fg(X)1588 5370
40948 y Fh(i)1677 5270 y Fj(m)1762 5285 y Fh(i)1812 5270 y
40949 Fw(+)22 b Fj(k)e(m)2066 5229 y Fl(2)2066 5295 y(d)2126
40950 5187 y Fg(X)2131 5370 y Fh(i<j)2273 5203 y Fn(h)p Fb(\033)2384
40951 5218 y Fh(i)2434 5203 y Fn(\001)i Fb(\033)2556 5218 y
40952 Fh(j)2592 5203 y Fn(i)p 2273 5247 359 4 v 2326 5339 a
40953 Fj(m)2411 5354 y Fh(i)2456 5339 y Fj(m)2541 5354 y Fh(j)2674
40954 5270 y Fj(;)856 b Fw(\(200\))0 5561 y(i.e.)59 b(one)38
40955 b(constan)m(t)g(term,)h(a)e(sum)h(o)m(v)m(er)h(constituen)m(t)f(masses)
40956 h(and)f(a)f(spin-spin)g(in)m(teraction)g(term)0 5669
40957 y(for)28 b(eac)m(h)i(quark)f(pair)f(in)g(the)h(hadron.)42
40958 b(The)30 b(constan)m(ts)g Fj(m)2181 5684 y Fl(0)2249
40959 5669 y Fw(and)f Fj(k)i Fw(are)e(\014tted)g(from)f(kno)m(wn)i(masses,)
40960 1817 5953 y(246)p eop
40961 %%Page: 247 253
40962 247 252 bop 0 -18 a Fw(treating)44 b(mesons)h(and)g(bary)m(ons)h
40963 (separately)-8 b(.)80 b(F)-8 b(or)44 b(mesons)h(with)g(orbital)d
40964 (angular)i(momen)m(tum)0 90 y Fj(L)32 b Fw(=)f(1)k(the)g(spin-spin)f
40965 (coupling)g(is)g(assumed)h(v)-5 b(anishing,)35 b(and)g(only)f
40966 Fj(m)2715 105 y Fl(0)2790 90 y Fw(is)g(\014tted.)51 b(One)35
40967 b(ma)m(y)f(also)0 198 y(de\014ne)h(`constituen)m(t)g(diquarks)g
40968 (masses')g(using)f(the)h(form)m(ula)d(ab)s(o)m(v)m(e,)k(with)e(a)g
40969 Fj(k)j Fw(v)-5 b(alue)33 b(2)p Fj(=)p Fw(3)h(that)g(of)0
40970 307 y(bary)m(ons.)45 b(The)33 b(default)f(v)-5 b(alues)32
40971 b(are:)405 422 y(m)m(ultiplet)613 b Fj(m)1493 437 y Fl(0)2004
40972 422 y Fj(k)50 542 y Fw(pseudoscalars)33 b(and)g(v)m(ectors)287
40973 b(0.)324 b(0.16)32 b(GeV)154 663 y(axial)f(v)m(ectors)j(\()p
40974 Fj(S)f Fw(=)28 b(0\))228 b(0.50)32 b(GeV)323 b(0.)457
40975 783 y(scalars)531 b(0.45)32 b(GeV)323 b(0.)154 904 y(axial)31
40976 b(v)m(ectors)j(\()p Fj(S)f Fw(=)28 b(1\))228 b(0.55)32
40977 b(GeV)323 b(0.)449 1024 y(tensors)524 b(0.60)32 b(GeV)323
40978 b(0.)433 1144 y(bary)m(ons)508 b(0.11)32 b(GeV)137 b(0.048)32
40979 b(GeV)416 1265 y(diquarks)467 b(0.077)32 b(GeV)100 b(0.048)31
40980 b(GeV.)0 1375 y(There)g(is)f(one)g(exception)h(to)f(the)g(rule)g(ab)s
40981 (o)m(v)m(e,)h(and)f(that)g(is)g(\015a)m(v)m(our)g(neutral)g(mesons,)h
40982 (i.e.)42 b(the)31 b(onia)0 1483 y(states)43 b(of)f(a)g(hea)m(vy)i
40983 (quark{an)m(tiquark)f(pair.)72 b(These)44 b(are)e(de\014ned)i
40984 (individually)-8 b(,)41 b(to)h(allo)m(w)f(more)0 1591
40985 y(\015exibilit)m(y)-8 b(.)0 1835 y Fo(13.2.2)113 b(Widths)0
40986 2008 y Fw(A)39 b(width)h(is)f(calculated)f(p)s(erturbativ)m(ely)h(for)g
40987 (those)h(resonances)i(whic)m(h)e(app)s(ear)f(in)f(the)i
40988 Fm(Pythia)0 2116 y Fw(hard)33 b(pro)s(cess)g(generation)f(mac)m(hinery)
40989 -8 b(.)43 b(The)34 b(width)e(is)g(used)i(to)e(select)h(masses)g(in)f
40990 (hard)g(pro)s(cesses)0 2225 y(according)37 b(to)h(a)f(relativistic)f
40991 (Breit{Wigner)g(shap)s(e.)60 b(In)38 b(man)m(y)g(pro)s(cesses)i(the)e
40992 (width)g(is)f(allo)m(w)m(ed)0 2333 y(to)32 b(b)s(e)37
40993 b(^)-53 b Fj(s)p Fw(-dep)s(enden)m(t,)34 b(see)g(section)e(7.3.)146
40994 2441 y(Other)g(particle)f(masses,)i(as)f(discussed)h(so)f(far,)g(ha)m
40995 (v)m(e)h(b)s(een)g(\014xed)f(at)g(their)f(nominal)e(v)-5
40996 b(alue,)32 b(i.e.)0 2550 y(with)k(no)g(mass)g(broadening)f(for)h
40997 (short-liv)m(ed)f(particles)h(suc)m(h)h(as)f Fj(\032)p
40998 Fw(,)i(K)2686 2514 y Fk(\003)2761 2550 y Fw(or)e(\001.)54
40999 b(Compared)36 b(to)g(the)0 2658 y(Z)60 2622 y Fl(0)99
41000 2658 y Fw(,)30 b(it)e(is)h(m)m(uc)m(h)h(more)f(di\016cult)f(to)h
41001 (describ)s(e)h(the)g Fj(\032)f Fw(resonance)i(shap)s(e,)g(since)f(nonp)
41002 s(erturbativ)m(e)f(and)0 2766 y(threshold)38 b(e\013ects)g(act)g(to)f
41003 (distort)g(the)h(na)-11 b(\177)-38 b(\020v)m(e)37 b(shap)s(e.)59
41004 b(Th)m(us)39 b(the)f Fj(\032)g Fw(mass)f(is)g(limited)d(from)j(b)s(elo)
41005 m(w)0 2875 y(b)m(y)k(its)f(deca)m(y)i Fj(\032)f Fn(!)g
41006 Fj(\031)t(\031)t Fw(,)h(but)f(also)e(from)h(ab)s(o)m(v)m(e,)j(e.g.)67
41007 b(in)40 b(the)h(deca)m(y)g Fj(\036)g Fn(!)g Fj(\032\031)t
41008 Fw(.)67 b(In)41 b(some)f(deca)m(y)0 2983 y(c)m(hains,)g(sev)m(eral)f
41009 (mass)f(c)m(hoices)h(are)f(coupled,)h(lik)m(e)f(in)f(a)2147
41010 2998 y Fl(2)2223 2983 y Fn(!)g Fj(\032\031)t Fw(,)i(where)h(also)d(the)
41011 h(a)3246 2998 y Fl(2)3324 2983 y Fw(has)g(a)g(non-)0
41012 3091 y(negligible)31 b(width.)49 b(Finally)-8 b(,)32
41013 b(there)j(are)g(some)f(extreme)h(cases,)h(lik)m(e)e(the)g(f)2797
41014 3106 y Fl(0)2837 3091 y Fw(,)g(whic)m(h)h(has)g(a)f(nominal)0
41015 3200 y(mass)f(b)s(elo)m(w)f(the)i(KK)e(threshold,)h(but)g(a)g(tail)d
41016 (extending)j(b)s(ey)m(ond)h(that)f(threshold,)g(and)g(therefore)0
41017 3308 y(a)f(non-negligible)e(branc)m(hing)i(ratio)f(to)h(the)h(KK)g(c)m
41018 (hannel.)146 3416 y(In)24 b(view)f(of)f(examples)h(lik)m(e)g(these,)j
41019 (no)d(attempt)f(is)g(made)h(to)g(pro)m(vide)g(a)f(full)g(description.)
41020 39 b(Instead)0 3525 y(a)c(simpli\014ed)e(description)i(is)g(used,)i
41021 (whic)m(h)f(should)g(b)s(e)f(enough)h(to)f(giv)m(e)g(the)h(general)f
41022 (smearing)f(of)0 3633 y(ev)m(en)m(ts)g(due)f(to)f(mass)g(broadening,)g
41023 (but)g(ma)m(yb)s(e)g(not)g(su\016cien)m(t)h(for)f(detailed)f(studies)h
41024 (of)g(a)g(sp)s(eci\014c)0 3741 y(resonance.)73 b(By)42
41025 b(default,)i(hadrons)f(are)f(therefore)g(giv)m(en)g(a)g(mass)g
41026 (distribution)e(according)h(to)h(a)0 3850 y(non-relativistic)30
41027 b(Breit{Wigner)1125 4082 y Fn(P)8 b Fw(\()p Fj(m)p Fw(\))17
41028 b(d)p Fj(m)29 b Fn(/)2021 4015 y Fw(1)p 1663 4059 766
41029 4 v 1663 4151 a(\()p Fj(m)22 b Fn(\000)h Fj(m)1993 4166
41030 y Fl(0)2033 4151 y Fw(\))2071 4122 y Fl(2)2132 4151 y
41031 Fw(+)f(\000)2291 4122 y Fl(2)2331 4151 y Fj(=)p Fw(4)2455
41032 4082 y(d)p Fj(m)33 b(:)903 b Fw(\(201\))0 4326 y(Leptons)34
41033 b(and)f(resonances)i(not)f(tak)m(en)g(care)f(of)g(b)m(y)h(the)g(hard)f
41034 (pro)s(cess)i(mac)m(hinery)e(are)g(distributed)0 4435
41035 y(according)f(to)g(a)g(relativistic)f(Breit{Wigner)1033
41036 4667 y Fn(P)8 b Fw(\()p Fj(m)1233 4626 y Fl(2)1273 4667
41037 y Fw(\))17 b(d)p Fj(m)1467 4626 y Fl(2)1534 4667 y Fn(/)2041
41038 4600 y Fw(1)p 1649 4644 832 4 v 1649 4735 a(\()p Fj(m)1772
41039 4707 y Fl(2)1834 4735 y Fn(\000)23 b Fj(m)2019 4701 y
41040 Fl(2)2019 4757 y(0)2059 4735 y Fw(\))2097 4707 y Fl(2)2158
41041 4735 y Fw(+)f Fj(m)2341 4701 y Fl(2)2341 4757 y(0)2381
41042 4735 y Fw(\000)2442 4707 y Fl(2)2508 4667 y Fw(d)p Fj(m)2647
41043 4626 y Fl(2)2719 4667 y Fj(:)811 b Fw(\(202\))0 4911
41044 y(Here)32 b Fj(m)314 4926 y Fl(0)385 4911 y Fw(and)f(\000)g(are)g(the)g
41045 (nominal)e(mass)i(and)g(width)g(of)g(the)g(particle.)42
41046 b(The)32 b(Breit{Wigner)e(shap)s(e)0 5019 y(is)37 b(truncated)g
41047 (symmetrically)-8 b(,)36 b Fn(j)p Fj(m)25 b Fn(\000)h
41048 Fj(m)1531 5034 y Fl(0)1571 5019 y Fn(j)35 b Fj(<)g(\016)t
41049 Fw(,)j(with)f Fj(\016)k Fw(arbitrarily)34 b(c)m(hosen)39
41050 b(for)e(eac)m(h)h(particle)d(so)0 5128 y(that)27 b(no)g(problems)f(are)
41051 i(encoun)m(tered)h(in)d(the)i(deca)m(y)g(c)m(hains.)42
41052 b(It)27 b(is)g(p)s(ossible)g(to)f(switc)m(h)i(o\013)f(the)h(mass)0
41053 5236 y(broadening,)j(or)g(to)g(use)h(either)f(a)g(non-relativistic)d
41054 (or)j(a)g(relativistic)e(Breit{Wigners)h(ev)m(erywhere.)146
41055 5344 y(The)35 b(f)378 5359 y Fl(0)450 5344 y Fw(problem)e(has)h(b)s
41056 (een)g(`solv)m(ed')g(b)m(y)h(shifting)d(the)i(f)2272
41057 5359 y Fl(0)2344 5344 y Fw(mass)g(to)f(b)s(e)h(sligh)m(tly)e(ab)s(o)m
41058 (v)m(e)i(the)g(KK)0 5453 y(threshold)j(and)g(ha)m(v)m(e)h(v)-5
41059 b(anishing)35 b(width.)56 b(Then)38 b(kinematics)d(in)h(deca)m(ys)j(f)
41060 2828 5468 y Fl(0)2902 5453 y Fn(!)34 b Fw(KK)i(is)g(reasonably)0
41061 5561 y(w)m(ell)e(mo)s(delled.)47 b(The)36 b(f)891 5576
41062 y Fl(0)965 5561 y Fw(mass)e(is)g(to)s(o)g(large)f(in)h(the)h(f)2035
41063 5576 y Fl(0)2106 5561 y Fn(!)30 b Fj(\031)t(\031)39 b
41064 Fw(c)m(hannel,)c(but)g(this)f(do)s(es)h(not)g(really)0
41065 5669 y(matter,)d(since)h(one)g(an)m(yw)m(a)m(y)h(is)e(far)g(ab)s(o)m(v)
41066 m(e)i(threshold)e(here.)1817 5953 y(247)p eop
41067 %%Page: 248 254
41068 248 253 bop 0 -18 a Fo(13.2.3)113 b(Lifetimes)0 154 y
41069 Fw(Clearly)25 b(the)h(lifetime)c(and)k(the)g(width)f(of)g(a)g(particle)
41070 f(are)i(in)m(v)m(ersely)g(related.)41 b(F)-8 b(or)25
41071 b(practical)f(applica-)0 263 y(tions,)k(ho)m(w)m(ev)m(er,)k(an)m(y)c
41072 (particle)f(with)g(a)h(non-negligible)c(width)k(deca)m(ys)i(to)s(o)d
41073 (close)g(to)h(its)f(pro)s(duction)0 371 y(v)m(ertex)k(for)d(the)h
41074 (lifetime)d(to)j(b)s(e)g(of)f(an)m(y)i(in)m(terest.)42
41075 b(In)30 b(the)f(program,)f(the)h(t)m(w)m(o)h(asp)s(ects)g(are)f
41076 (therefore)0 479 y(considered)41 b(separately)-8 b(.)65
41077 b(P)m(articles)40 b(with)f(a)h(non-v)-5 b(anishing)38
41078 b(nominal)f(prop)s(er)j(lifetime)d Fj(\034)3453 494 y
41079 Fl(0)3533 479 y Fw(=)j Fn(h)p Fj(\034)11 b Fn(i)0 588
41080 y Fw(are)33 b(assigned)f(an)h(actual)f(lifetime)d(according)j(to)1323
41081 796 y Fn(P)8 b Fw(\()p Fj(\034)j Fw(\))17 b(d)p Fj(\034)39
41082 b Fn(/)29 b Fw(exp)q(\()p Fn(\000)p Fj(\034)11 b(=\034)2195
41083 811 y Fl(0)2235 796 y Fw(\))17 b(d)p Fj(\034)44 b(;)1100
41084 b Fw(\(203\))0 1004 y(i.e.)42 b(a)30 b(simple)e(exp)s(onen)m(tial)h
41085 (deca)m(y)i(is)f(assumed.)43 b(Since)30 b(the)g(program)f(uses)i
41086 (dimensions)e(where)i(the)0 1112 y(sp)s(eed)g(of)e(ligh)m(t)e
41087 Fj(c)h Fn(\021)g Fw(1,)i(and)g(space)g(dimensions)f(are)g(in)g(mm,)f
41088 (then)i(actually)e(the)i(unit)f(of)g Fj(c\034)3453 1127
41089 y Fl(0)3522 1112 y Fw(is)g(mm)0 1220 y(and)k(of)f Fj(\034)343
41090 1235 y Fl(0)415 1220 y Fw(itself)f(mm)p Fj(=c)26 b Fn(\031)j
41091 Fw(3)p Fj(:)p Fw(33)21 b Fn(\002)i Fw(10)1431 1184 y
41092 Fk(\000)p Fl(12)1592 1220 y Fw(s.)146 1329 y(If)39 b(a)f(particle)g(is)
41093 g(pro)s(duced)i(at)e(a)g(v)m(ertex)j Fj(v)h Fw(=)c(\()p
41094 Fo(x)p Fj(;)17 b(t)p Fw(\))38 b(with)h(a)f(momen)m(tum)f
41095 Fj(p)h Fw(=)g(\()p Fo(p)p Fj(;)17 b(E)6 b Fw(\))39 b(and)g(a)0
41096 1437 y(lifetime)30 b Fj(\034)11 b Fw(,)33 b(the)g(deca)m(y)h(v)m(ertex)
41097 g(p)s(osition)d(is)h(assumed)h(to)f(b)s(e)1584 1674 y
41098 Fj(v)1635 1633 y Fk(0)1686 1674 y Fw(=)27 b Fj(v)f Fw(+)c
41099 Fj(\034)2059 1607 y(p)p 2040 1651 86 4 v 2040 1743 a(m)2168
41100 1674 y(;)1362 b Fw(\(204\))0 1925 y(where)46 b Fj(m)e
41101 Fw(is)g(the)h(mass)f(of)g(the)h(particle.)78 b(With)43
41102 b(the)i(primary)e(in)m(teraction)h(\(normally\))d(in)j(the)0
41103 2034 y(origin,)49 b(it)d(is)h(therefore)h(p)s(ossible)f(to)g(construct)
41104 i(all)c(secondary)k(v)m(ertices)g(in)d(parallel)f(with)i(the)0
41105 2142 y(ordinary)32 b(deca)m(y)i(treatmen)m(t.)146 2250
41106 y(The)c(form)m(ula)c(ab)s(o)m(v)m(e)k(do)s(es)e(not)h(tak)m(e)g(in)m
41107 (to)f(accoun)m(t)h(an)m(y)g(detector)g(e\013ects,)i(suc)m(h)f(as)f(a)f
41108 (magnetic)0 2359 y(\014eld.)57 b(It)37 b(is)f(therefore)i(p)s(ossible)e
41109 (to)h(stop)g(the)h(deca)m(y)g(c)m(hains)g(at)e(some)h(suitable)f(p)s
41110 (oin)m(t,)i(and)f(lea)m(v)m(e)0 2467 y(an)m(y)45 b(subsequen)m(t)i
41111 (deca)m(y)f(treatmen)m(t)e(to)g(the)h(detector)g(sim)m(ulation)c
41112 (program.)77 b(One)45 b(ma)m(y)f(select)0 2576 y(that)38
41113 b(particles)f(are)i(only)e(allo)m(w)m(ed)h(to)g(deca)m(y)h(if)e(they)i
41114 (ha)m(v)m(e)h(a)e(nominal)e(lifetime)f Fj(\034)3170 2591
41115 y Fl(0)3248 2576 y Fw(shorter)j(than)0 2684 y(some)e(giv)m(en)h(v)-5
41116 b(alue)36 b(or,)h(alternativ)m(ely)-8 b(,)37 b(if)e(their)h(deca)m(y)i
41117 (v)m(ertices)g Fo(x)2526 2648 y Fk(0)2586 2684 y Fw(are)e(inside)g
41118 (some)h(spherical)f(or)0 2792 y(cylindrical)30 b(v)m(olume)i(around)h
41119 (the)g(origin.)0 3066 y Fp(13.3)136 b(Deca)l(ys)0 3239
41120 y Fw(Sev)m(eral)44 b(di\013eren)m(t)f(kinds)h(of)f(deca)m(y)h(treatmen)
41121 m(t)g(are)f(used)h(in)f(the)h(program,)g(dep)s(ending)g(on)f(the)0
41122 3347 y(nature)36 b(of)f(the)h(deca)m(y)-8 b(.)55 b(Not)35
41123 b(discussed)j(here)e(are)g(the)g(deca)m(ys)i(of)d(resonances)j(whic)m
41124 (h)e(are)g(handled)0 3455 y(as)d(part)f(of)g(the)h(hard)g(pro)s(cess.)0
41125 3703 y Fo(13.3.1)113 b(Strong)37 b(and)h(electromagnetic)d(deca)m(ys)0
41126 3876 y Fw(The)47 b(deca)m(ys)h(of)e(hadrons)g(con)m(taining)f(the)h
41127 (`ordinary')g(u,)k(d)c(and)g(s)h(quarks)g(in)m(to)e(t)m(w)m(o)i(or)f
41128 (three)0 3984 y(particles)25 b(are)i(kno)m(wn,)i(and)d(branc)m(hing)g
41129 (ratios)f(ma)m(y)i(b)s(e)f(found)g(in)g([PDG92)o(].)41
41130 b(W)-8 b(e)27 b(normally)d(assume)0 4093 y(that)34 b(the)h(momen)m(tum)
41131 d(distributions)h(are)h(giv)m(en)g(b)m(y)i(phase)f(space.)49
41132 b(There)35 b(are)g(a)e(few)i(exceptions,)0 4201 y(where)f(the)f(phase)g
41133 (space)h(is)e(w)m(eigh)m(ted)i(b)m(y)f(a)f(matrix-elemen)m(t)f
41134 (expression,)j(as)e(follo)m(ws.)146 4309 y(In)h Fj(!)j
41135 Fw(and)d Fj(\036)f Fw(deca)m(ys)i(to)f Fj(\031)1133 4273
41136 y Fl(+)1192 4309 y Fj(\031)1251 4273 y Fk(\000)1310 4309
41137 y Fj(\031)1369 4273 y Fl(0)1408 4309 y Fw(,)g(a)f(matrix)f(elemen)m(t)h
41138 (of)g(the)h(form)1447 4517 y Fn(jMj)1623 4476 y Fl(2)1689
41139 4517 y Fn(/)28 b(j)p Fo(p)1884 4534 y Fh(\031)1927 4515
41140 y Ff(+)2004 4517 y Fn(\002)23 b Fo(p)2166 4534 y Fh(\031)2209
41141 4515 y Fd(\000)2265 4517 y Fn(j)2293 4476 y Fl(2)3557
41142 4517 y Fw(\(205\))0 4725 y(is)32 b(used,)i(with)e(the)i
41143 Fo(p)801 4740 y Fh(\031)880 4725 y Fw(the)g(pion)d(momen)m(ta)h(in)g
41144 (the)h(rest)g(frame)f(of)g(the)h(deca)m(y)-8 b(.)45 b(\(Actually)-8
41145 b(,)32 b(what)h(is)0 4834 y(co)s(ded)g(is)f(the)h(somewhat)g(more)f
41146 (length)m(y)h(Loren)m(tz)g(in)m(v)-5 b(arian)m(t)31 b(form)g(of)i(the)g
41147 (expression)g(ab)s(o)m(v)m(e.\))146 4942 y(Consider)23
41148 b(the)f(deca)m(y)i(c)m(hain)e Fj(P)1271 4957 y Fl(0)1338
41149 4942 y Fn(!)27 b Fj(P)1528 4957 y Fl(1)1568 4942 y Fw(+)q
41150 Fj(V)49 b Fn(!)27 b Fj(P)1941 4957 y Fl(1)1982 4942 y
41151 Fw(+)q Fj(P)2122 4957 y Fl(2)2161 4942 y Fw(+)q Fj(P)2301
41152 4957 y Fl(3)2340 4942 y Fw(,)e(with)c Fj(P)36 b Fw(represen)m(ting)23
41153 b(pseudoscalar)0 5050 y(mesons)29 b(and)f Fj(V)49 b Fw(a)28
41154 b(v)m(ector)h(one.)43 b(Here)28 b(the)h(deca)m(y)g(angular)e
41155 (distribution)f(of)i(the)g Fj(V)50 b Fw(in)27 b(its)h(rest)g(frame)0
41156 5159 y(is)1533 5267 y Fn(jMj)1709 5226 y Fl(2)1775 5267
41157 y Fn(/)g Fw(cos)2011 5226 y Fl(2)2067 5267 y Fj(\022)2112
41158 5282 y Fl(02)2220 5267 y Fj(;)1310 b Fw(\(206\))0 5429
41159 y(where)34 b Fj(\022)327 5444 y Fl(02)435 5429 y Fw(is)e(the)i(angle)e
41160 (b)s(et)m(w)m(een)j Fj(P)1397 5444 y Fl(0)1469 5429 y
41161 Fw(and)e Fj(P)1722 5444 y Fl(2)1761 5429 y Fw(.)44 b(The)34
41162 b(classical)d(example)i(is)f(D)c Fn(!)f Fw(K)3195 5393
41163 y Fk(\003)3235 5429 y Fj(\031)32 b Fn(!)c Fw(K)p Fj(\031)t(\031)t
41164 Fw(.)44 b(If)0 5538 y(the)33 b Fj(P)231 5553 y Fl(1)303
41165 5538 y Fw(is)f(replaced)h(b)m(y)g(a)f Fj(\015)5 b Fw(,)33
41166 b(the)g(angular)e(distribution)g(in)h(the)h Fj(V)54 b
41167 Fw(deca)m(y)34 b(is)e(instead)h Fn(/)28 b Fw(sin)3493
41168 5498 y Fl(2)3549 5538 y Fj(\022)3594 5553 y Fl(02)3670
41169 5538 y Fw(.)1817 5953 y(248)p eop
41170 %%Page: 249 255
41171 249 254 bop 146 -18 a Fw(In)30 b(Dalitz)e(deca)m(ys,)k
41172 Fj(\031)947 -55 y Fl(0)1016 -18 y Fw(or)d Fj(\021)i Fn(!)c
41173 Fw(e)1381 -55 y Fl(+)1441 -18 y Fw(e)1484 -55 y Fk(\000)1543
41174 -18 y Fj(\015)5 b Fw(,)30 b(the)h(mass)e Fj(m)2143 -55
41175 y Fk(\003)2212 -18 y Fw(of)g(the)h(e)2528 -55 y Fl(+)2588
41176 -18 y Fw(e)2631 -55 y Fk(\000)2720 -18 y Fw(pair)e(is)h(selected)i
41177 (according)0 90 y(to)147 370 y Fn(P)8 b Fw(\()p Fj(m)347
41178 329 y Fk(\003)p Fl(2)423 370 y Fw(\))17 b(d)p Fj(m)617
41179 329 y Fk(\003)p Fl(2)719 370 y Fn(/)834 302 y Fw(d)p
41180 Fj(m)973 266 y Fk(\003)p Fl(2)p 834 346 215 4 v 861 438
41181 a Fj(m)946 409 y Fk(\003)p Fl(2)1092 224 y Fg( )1157
41182 370 y Fw(1)22 b(+)1336 302 y(2)p Fj(m)1470 266 y Fl(2)1470
41183 327 y(e)p 1336 346 174 4 v 1343 438 a Fj(m)1428 409 y
41184 Fk(\003)p Fl(2)1520 224 y Fg(!)1619 204 y(s)p 1702 204
41185 365 4 v 166 x Fw(1)g Fn(\000)1882 302 y Fw(4)p Fj(m)2016
41186 273 y Fl(2)2016 327 y(e)p 1882 346 174 4 v 1889 438 a
41187 Fj(m)1974 409 y Fk(\003)p Fl(2)2099 224 y Fg( )2165 370
41188 y Fw(1)f Fn(\000)2360 302 y Fj(m)2445 266 y Fk(\003)p
41189 Fl(2)p 2345 346 190 4 v 2345 438 a Fj(m)2430 409 y Fl(2)2430
41190 463 y Fh(\031)r(;\021)2545 224 y Fg(!)2611 246 y Fl(3)3104
41191 302 y Fw(1)p 2693 346 870 4 v 2693 438 a(\()p Fj(m)2816
41192 409 y Fl(2)2816 463 y Fh(\032)2879 438 y Fn(\000)h Fj(m)3063
41193 409 y Fk(\003)p Fl(2)3138 438 y Fw(\))3176 409 y Fl(2)3238
41194 438 y Fw(+)g Fj(m)3421 409 y Fl(2)3421 463 y Fh(\032)3462
41195 438 y Fw(\000)3523 409 y Fl(2)3523 463 y Fh(\032)3605
41196 370 y Fj(:)3557 559 y Fw(\(207\))0 667 y(The)32 b(last)e(factor,)h(the)
41197 g(VMD-inspired)f Fj(\032)1540 631 y Fl(0)1611 667 y Fw(propagator,)g
41198 (is)h(negligible)d(for)i Fj(\031)2870 631 y Fl(0)2940
41199 667 y Fw(deca)m(y)-8 b(.)45 b(Once)31 b(the)h Fj(m)3740
41200 631 y Fk(\003)0 775 y Fw(has)h(b)s(een)g(selected,)h(the)f(angular)e
41201 (distribution)g(of)h(the)h(e)2169 739 y Fl(+)2228 775
41202 y Fw(e)2271 739 y Fk(\000)2363 775 y Fw(pair)f(is)g(giv)m(en)h(b)m(y)0
41203 1002 y Fn(jMj)176 961 y Fl(2)242 1002 y Fn(/)28 b Fw(\()p
41204 Fj(m)470 961 y Fk(\003)p Fl(2)551 1002 y Fn(\000)6 b
41205 Fw(2)p Fj(m)768 961 y Fl(2)768 1027 y(e)808 1002 y Fw(\))863
41206 906 y Fg(n)918 1002 y Fw(\()p Fj(p)1005 1017 y Fh(\015)1049
41207 1002 y Fj(p)1098 1019 y Fl(e)1129 1000 y Ff(+)1185 1002
41208 y Fw(\))1223 961 y Fl(2)1284 1002 y Fw(+)22 b(\()p Fj(p)1469
41209 1017 y Fh(\015)1513 1002 y Fj(p)1562 1019 y Fl(e)1593
41210 1000 y Fd(\000)1650 1002 y Fw(\))1688 961 y Fl(2)1727
41211 906 y Fg(o)1789 1002 y Fw(+)6 b(4)p Fj(m)2005 961 y Fl(2)2005
41212 1027 y(e)2061 906 y Fg(n)2116 1002 y Fw(\()p Fj(p)2203
41213 1017 y Fh(\015)2247 1002 y Fj(p)2296 1019 y Fl(e)2327
41214 1000 y Ff(+)2383 1002 y Fw(\)\()p Fj(p)2508 1017 y Fh(\015)2552
41215 1002 y Fj(p)2601 1019 y Fl(e)2632 1000 y Fd(\000)2688
41216 1002 y Fw(\))23 b(+)f(\()p Fj(p)2934 1017 y Fh(\015)2978
41217 1002 y Fj(p)3027 1019 y Fl(e)3058 1000 y Ff(+)3113 1002
41218 y Fw(\))3151 961 y Fl(2)3213 1002 y Fw(+)g(\()p Fj(p)3398
41219 1017 y Fh(\015)3442 1002 y Fj(p)3491 1019 y Fl(e)3522
41220 1000 y Fd(\000)3579 1002 y Fw(\))3617 961 y Fl(2)3656
41221 906 y Fg(o)3752 1002 y Fj(:)3557 1135 y Fw(\(208\))146
41222 1243 y(Also)37 b(a)h(n)m(um)m(b)s(er)g(of)f(simple)f(deca)m(ys)k(in)m
41223 (v)m(olving)c(resonances)k(of)d(hea)m(vier)h(hadrons,)i(e.g.)59
41224 b(\006)3604 1207 y Fl(0)3604 1268 y(c)3680 1243 y Fn(!)0
41225 1352 y Fw(\003)68 1316 y Fl(+)68 1376 y(c)127 1352 y
41226 Fj(\031)186 1316 y Fk(\000)277 1352 y Fw(or)32 b(B)465
41227 1316 y Fk(\003\000)588 1352 y Fn(!)27 b Fw(B)784 1316
41228 y Fk(\000)843 1352 y Fj(\015)37 b Fw(are)c(treated)g(in)f(the)h(same)f
41229 (w)m(a)m(y)i(as)f(the)g(other)g(t)m(w)m(o-particle)e(deca)m(ys.)0
41230 1599 y Fo(13.3.2)113 b(W)-9 b(eak)37 b(deca)m(ys)h(of)g(c)m(harm)f
41231 (hadrons)0 1772 y Fw(The)d(c)m(harm)g(hadrons)g(ha)m(v)m(e)g(a)g(mass)f
41232 (in)g(an)g(in)m(termediate)f(range,)i(where)h(the)f(e\013ects)g(of)f
41233 (the)h(na)-11 b(\177)-38 b(\020v)m(e)0 1880 y Fj(V)47
41234 b Fn(\000)27 b Fj(A)38 b Fw(w)m(eak)h(deca)m(y)g(matrix)e(elemen)m(t)g
41235 (is)h(partly)f(but)h(not)g(fully)f(re\015ected)i(in)f(the)g(kinematics)
41236 f(of)0 1989 y(\014nal-state)45 b(particles.)80 b(Therefore)47
41237 b(di\013eren)m(t)e(deca)m(y)i(strategies)e(ar)g(com)m(bined.)82
41238 b(W)-8 b(e)46 b(start)f(with)0 2097 y(hadronic)32 b(deca)m(ys,)j(and)d
41239 (subseqen)m(tly)j(consider)e(semileptonic)e(ones.)146
41240 2205 y(F)-8 b(or)29 b(the)g(four)g(`main')e(c)m(harm)i(hadrons,)h(D)
41241 1736 2169 y Fl(+)1795 2205 y Fw(,)g(D)1927 2169 y Fl(0)1966
41242 2205 y Fw(,)g(D)2098 2169 y Fl(+)2098 2230 y(s)2185 2205
41243 y Fw(and)f(\003)2439 2169 y Fl(+)2439 2230 y(c)2498 2205
41244 y Fw(,)h(a)f(n)m(um)m(b)s(er)g(of)g(branc)m(hing)g(ratios)0
41245 2314 y(are)47 b(already)g(kno)m(wn.)88 b(The)48 b(kno)m(wn)g(brac)m
41246 (hing)f(ratios)f(ha)m(v)m(e)i(b)s(een)g(com)m(bined)f(with)g
41247 (reasonable)0 2422 y(guesses,)34 b(to)d(construct)i(more)e(or)g(less)h
41248 (complete)f(tables)h(of)f(all)e(c)m(hannels.)44 b(F)-8
41249 b(or)31 b(hadronic)g(deca)m(ys)j(of)0 2531 y(D)75 2494
41250 y Fl(0)153 2531 y Fw(and)k(D)423 2494 y Fl(+)482 2531
41251 y Fw(,)i(where)g(rather)f(m)m(uc)m(h)g(is)g(kno)m(wn,)i(all)c(c)m
41252 (hannels)i(ha)m(v)m(e)h(an)f(explicitly)e(listed)h(particle)0
41253 2639 y(con)m(ten)m(t.)54 b(Ho)m(w)m(ev)m(er,)39 b(only)c(for)g(the)h(t)
41254 m(w)m(o-b)s(o)s(dy)g(deca)m(ys)i(is)d(resonance)i(pro)s(duction)e(prop)
41255 s(erly)g(tak)m(en)0 2747 y(in)m(to)26 b(accoun)m(t.)42
41256 b(It)26 b(means)h(that)f(the)h(exp)s(erimen)m(tally)e(measured)i(branc)
41257 m(hing)f(ratio)f(for)h(a)g(K)p Fj(\031)t(\031)k Fw(deca)m(y)0
41258 2856 y(c)m(hannel,)38 b(sa)m(y)-8 b(,)39 b(is)d(represen)m(ted)j(b)m(y)
41259 f(con)m(tributions)e(from)g(a)g(direct)h(K)p Fj(\031)t(\031)j
41260 Fw(c)m(hannel)d(as)g(w)m(ell)f(as)h(from)0 2964 y(indirect)29
41261 b(ones,)j(suc)m(h)g(as)e(K)1009 2928 y Fk(\003)1048 2964
41262 y Fj(\031)35 b Fw(and)30 b(K)p Fj(\032)p Fw(.)43 b(F)-8
41263 b(or)29 b(a)h(c)m(hannel)h(lik)m(e)e(K)p Fj(\031)t(\031)t(\031)t
41264 Fw(,)i(on)f(the)h(other)f(hand,)h(only)f(the)0 3072 y(K)76
41265 3036 y Fk(\003)115 3072 y Fj(\032)i Fw(app)s(ears)g(separately)-8
41266 b(,)31 b(while)g(the)h(rest)g(is)e(lump)s(ed)h(in)m(to)f(one)i(en)m
41267 (try)g(in)f(the)h(deca)m(y)g(tables.)43 b(This)0 3181
41268 y(is)26 b(more)f(or)h(less)g(in)g(agreemen)m(t)g(with)g(the)g
41269 (philosoph)m(y)g(adopted)h(in)e(the)h(PDG)g(tables)g([PDG92)o(].)41
41270 b(F)-8 b(or)0 3289 y(D)75 3253 y Fl(+)75 3314 y(s)163
41271 3289 y Fw(and)30 b(\003)418 3253 y Fl(+)418 3314 y(c)507
41272 3289 y Fw(kno)m(wledge)h(is)e(rather)h(incomplete,)f(and)h(only)f(t)m
41273 (w)m(o-b)s(o)s(dy)h(deca)m(y)i(c)m(hannels)e(are)g(listed.)0
41274 3397 y(Final)g(states)k(with)e(three)h(or)g(more)e(hadron)i(are)g(only)
41275 f(listed)f(in)h(terms)h(of)f(a)g(\015a)m(v)m(our)h(con)m(ten)m(t.)146
41276 3506 y(The)f(w)m(a)m(y)h(the)e(program)f(w)m(orks,)j(it)d(is)g(imp)s
41277 (ortan)m(t)f(to)i(include)f(all)f(the)j(allo)m(w)m(ed)e(deca)m(y)j(c)m
41278 (hannels)0 3614 y(up)47 b(to)f(a)h(giv)m(en)g(m)m(ultiplicit)m(y)-8
41279 b(.)82 b(Channels)47 b(with)g(m)m(ultiplicit)m(y)c(higher)j(than)h
41280 (this)f(ma)m(y)h(then)g(b)s(e)0 3722 y(generated)29 b(according)e(to)g
41281 (a)h(simple)e(\015a)m(v)m(our)i(com)m(bination)e(sc)m(heme.)43
41282 b(F)-8 b(or)27 b(instance,)i(in)e(a)h(D)3436 3686 y Fl(+)3436
41283 3747 y(s)3522 3722 y Fw(deca)m(y)-8 b(,)0 3841 y(the)30
41284 b(normal)d(quark)j(con)m(ten)m(t)g(is)f(s)p 1241 3788
41285 39 4 v(s)q(u)p 1334 3762 55 4 v(d,)h(where)h(one)p 1899
41286 3788 39 4 v 29 w(s)f(is)f(the)g(sp)s(ectator)h(quark)g(and)f(the)h
41287 (others)g(come)0 3949 y(from)f(the)h(w)m(eak)h(deca)m(y)g(of)e(the)i(c)
41288 f(quark.)43 b(The)31 b(sp)s(ectator)f(quark)g(ma)m(y)g(also)f(b)s(e)h
41289 (annihilated,)e(lik)m(e)h(in)0 4058 y(D)75 4022 y Fl(+)75
41290 4082 y(s)164 4058 y Fn(!)h Fw(u)p 348 3979 55 4 v(d.)49
41291 b(The)35 b(\015a)m(v)m(our)g(con)m(ten)m(t)h(to)d(mak)m(e)i(up)f(one)h
41292 (or)f(t)m(w)m(o)h(hadrons)f(is)g(therefore)h(presen)m(t)h(from)0
41293 4166 y(the)j(onset.)63 b(If)39 b(one)g(decides)h(to)e(generate)i(more)e
41294 (hadrons,)j(this)d(means)h(new)h(\015a)m(v)m(our-an)m(ti\015a)m(v)m
41295 (our)0 4274 y(pairs)c(ha)m(v)m(e)i(to)f(b)s(e)g(generated)g(and)g(com)m
41296 (bined)f(with)h(the)g(existing)f(\015a)m(v)m(ours.)57
41297 b(This)37 b(is)g(done)g(using)0 4383 y(the)c(same)f(\015a)m(v)m(our)i
41298 (approac)m(h)f(as)g(in)e(fragmen)m(tation.)146 4491 y(In)i(more)f
41299 (detail,)f(the)i(follo)m(wing)d(sc)m(heme)k(is)e(used.)119
41300 4604 y(1.)49 b(The)34 b(m)m(ultiplicit)m(y)29 b(is)j(\014rst)i
41301 (selected.)45 b(The)34 b(D)1946 4568 y Fl(+)1946 4629
41302 y(s)2038 4604 y Fw(and)f(\003)2296 4568 y Fl(+)2296 4629
41303 y(c)2387 4604 y Fw(m)m(ultiplicit)m(y)d(is)i(selected)i(according)244
41304 4712 y(to)23 b(a)g(distribution)f(describ)s(ed)i(further)g(b)s(elo)m
41305 (w.)41 b(The)24 b(program)e(can)i(also)f(b)s(e)h(ask)m(ed)h(to)e
41306 (generate)244 4821 y(ev)m(en)m(ts)35 b(of)d(a)g(predetermined)h(m)m
41307 (ultiplicit)m(y)-8 b(.)119 4939 y(2.)49 b(One)43 b(of)f(the)h(non-sp)s
41308 (ectator)g(\015a)m(v)m(ours)g(is)g(selected)g(at)f(random.)73
41309 b(This)43 b(\015a)m(v)m(our)g(is)f(allo)m(w)m(ed)244
41310 5047 y(to)c(`fragmen)m(t')g(in)m(to)f(a)h(hadron)h(plus)f(a)g(new)h
41311 (remaining)d(\015a)m(v)m(our,)41 b(using)d(exactly)h(the)g(same)244
41312 5155 y(\015a)m(v)m(our)33 b(generation)f(algorithm)e(as)i(in)g(the)h
41313 (standard)g(jet)g(fragmen)m(tation,)e(section)h(12.1.)119
41314 5273 y(3.)49 b(Step)23 b(2)g(is)f(iterated)g(un)m(til)g(only)g(one)h
41315 (or)g(t)m(w)m(o)g(hadrons)g(remain)f(to)g(b)s(e)h(generated,)j(dep)s
41316 (ending)d(on)244 5381 y(whether)35 b(the)f(original)c(n)m(um)m(b)s(er)k
41317 (of)f(\015a)m(v)m(ours)i(is)f(t)m(w)m(o)g(or)f(four.)46
41318 b(In)34 b(eac)m(h)h(step)f(one)g(`unpaired')244 5490
41319 y(\015a)m(v)m(our)45 b(is)f(replaced)h(b)m(y)g(another)f(one)h(as)g(a)f
41320 (hadron)g(is)g(`p)s(eeled)h(o\013)7 b(',)47 b(so)d(the)h(n)m(um)m(b)s
41321 (er)g(of)244 5598 y(unpaired)32 b(\015a)m(v)m(ours)i(is)e(preserv)m
41322 (ed.)1817 5953 y(249)p eop
41323 %%Page: 250 256
41324 250 255 bop 119 -18 a Fw(4.)49 b(If)36 b(there)g(are)g(t)m(w)m(o)h
41325 (\015a)m(v)m(ours,)h(these)f(are)f(com)m(bined)g(to)f(form)g(the)h
41326 (last)f(hadron.)54 b(If)36 b(there)g(are)244 90 y(four,)49
41327 b(then)d(one)g(of)g(the)g(t)m(w)m(o)g(p)s(ossible)f(pairings)g(in)m(to)
41328 g(t)m(w)m(o)h(\014nal)f(hadrons)i(is)e(selected)i(at)244
41329 198 y(random.)j(T)-8 b(o)35 b(\014nd)g(the)h(hadron)f(sp)s(ecies,)i
41330 (the)e(same)g(\015a)m(v)m(our)h(rules)f(are)g(used)h(as)f(when)h
41331 (\014nal)244 307 y(\015a)m(v)m(ours)e(are)e(com)m(bined)h(in)e(the)i
41332 (joining)e(of)h(t)m(w)m(o)h(jets.)119 424 y(5.)49 b(If)30
41333 b(the)g(sum)f(of)h(deca)m(y)h(pro)s(duct)f(masses)g(is)g(larger)e(than)
41334 i(the)g(mass)g(of)f(the)h(deca)m(ying)h(particle,)244
41335 533 y(the)i(\015a)m(v)m(our)h(selection)f(is)g(rejected)h(and)g(the)f
41336 (pro)s(cess)i(is)d(started)i(o)m(v)m(er)g(at)f(step)h(1.)45
41337 b(Normally)244 641 y(a)32 b(new)i(m)m(ultiplicit)m(y)29
41338 b(is)j(pic)m(k)m(ed,)i(but)e(for)h(D)1878 605 y Fl(0)1949
41339 641 y Fw(and)g(D)2214 605 y Fl(+)2305 641 y Fw(the)g(old)e(m)m
41340 (ultiplicit)m(y)e(is)j(retained.)119 759 y(6.)49 b(Once)35
41341 b(an)f(acceptable)g(set)h(of)e(hadrons)i(has)g(b)s(een)f(found,)h
41342 (these)g(are)f(distributed)g(according)244 867 y(to)e(phase)i(space.)0
41343 980 y(The)41 b(picture)f(then)h(is)e(one)i(of)e(a)h(n)m(um)m(b)s(er)g
41344 (of)g(partons)g(mo)m(ving)f(apart,)i(fragmen)m(ting)e(almost)f(lik)m(e)
41345 0 1089 y(jets,)44 b(but)e(with)f(momen)m(ta)f(so)h(lo)m(w)g(that)g
41346 (phase-space)i(considerations)e(are)g(enough)h(to)f(giv)m(e)g(the)0
41347 1197 y(a)m(v)m(erage)i(b)s(eha)m(viour)f(of)g(the)g(momen)m(tum)f
41348 (distribution.)70 b(Lik)m(e)42 b(in)g(jet)g(fragmen)m(tation,)h(endp)s
41349 (oin)m(t)0 1305 y(\015a)m(v)m(ours)29 b(are)e(not)g(lik)m(ely)f(to)h
41350 (recom)m(bine)h(with)e(eac)m(h)j(other.)42 b(Instead)28
41351 b(new)g(\015a)m(v)m(our)h(pairs)d(are)i(created)0 1414
41352 y(in)36 b(b)s(et)m(w)m(een)i(them.)56 b(One)37 b(should)f(also)g(note)h
41353 (that,)g(while)f(v)m(ector)i(and)e(pseudoscalar)h(mesons)g(are)0
41354 1522 y(pro)s(duced)j(at)f(their)g(ordinary)f(relativ)m(e)h(rates,)i(ev)
41355 m(en)m(ts)h(with)d(man)m(y)g(v)m(ectors)i(are)e(lik)m(ely)f(to)h(fail)e
41356 (in)0 1630 y(step)f(5.)53 b(E\013ectiv)m(ely)-8 b(,)37
41357 b(there)f(is)f(therefore)h(a)f(shift)g(to)m(w)m(ards)i(ligh)m(ter)d
41358 (particles,)i(esp)s(ecially)e(at)i(large)0 1739 y(m)m(ultiplicities.)
41359 146 1847 y(When)31 b(a)e(m)m(ultiplicit)m(y)d(is)k(to)f(b)s(e)h(pic)m
41360 (k)m(ed,)i(this)d(is)g(done)h(according)f(to)h(a)f(Gaussian)g
41361 (distribution,)0 1955 y(cen)m(tered)e(at)e Fj(c)7 b Fw(+)g
41362 Fj(n)682 1970 y Fl(q)724 1955 y Fj(=)p Fw(4)25 b(and)h(with)f(a)g
41363 (width)1588 1884 y Fn(p)p 1671 1884 42 4 v 71 x Fj(c)p
41364 Fw(,)i(with)e(the)g(\014nal)g(n)m(um)m(b)s(er)h(rounded)g(o\013)f(to)g
41365 (the)g(nearest)0 2064 y(in)m(teger.)43 b(The)34 b(v)-5
41366 b(alue)32 b(for)g(the)h(n)m(um)m(b)s(er)g(of)f(quarks)i
41367 Fj(n)1969 2079 y Fl(q)2043 2064 y Fw(is)e(2)g(or)h(4,)f(as)h(describ)s
41368 (ed)g(ab)s(o)m(v)m(e,)h(and)1369 2333 y Fj(c)27 b Fw(=)h
41369 Fj(c)1584 2348 y Fl(1)1657 2333 y Fw(ln)1754 2212 y Fg(\022)1825
41370 2266 y Fj(m)23 b Fn(\000)2033 2199 y Fg(P)2137 2266 y
41371 Fj(m)2222 2281 y Fl(q)p 1825 2310 439 4 v 2004 2402 a
41372 Fj(c)2046 2417 y Fl(2)2274 2212 y Fg(\023)2384 2333 y
41373 Fj(;)1146 b Fw(\(209\))0 2594 y(where)26 b Fj(m)e Fw(is)g(the)h(hadron)
41374 f(mass)g(and)h Fj(c)1410 2609 y Fl(1)1473 2594 y Fw(and)g
41375 Fj(c)1697 2609 y Fl(2)1761 2594 y Fw(ha)m(v)m(e)g(b)s(een)g(tuned)g(to)
41376 f(giv)m(e)h(a)f(reasonable)g(description)0 2702 y(of)i(m)m
41377 (ultiplicities.)37 b(There)27 b(is)f(alw)m(a)m(ys)g(some)g(lo)m(w)m(er)
41378 g(limit)d(for)j(the)g(allo)m(w)m(ed)g(m)m(ultiplicit)m(y;)e(if)h(a)h(n)
41379 m(um)m(b)s(er)0 2810 y(smaller)36 b(than)j(this)f(is)f(pic)m(k)m(ed)j
41380 (the)f(c)m(hoice)f(is)g(rep)s(eated.)62 b(Since)38 b(t)m(w)m(o-b)s(o)s
41381 (dy)h(deca)m(ys)h(are)e(explicitly)0 2919 y(en)m(umerated)33
41382 b(for)f(D)752 2883 y Fl(+)752 2943 y(s)843 2919 y Fw(and)h(\003)1101
41383 2883 y Fl(+)1101 2943 y(c)1160 2919 y Fw(,)g(there)g(the)g(mimim)m(um)
41384 28 b(m)m(ultiplicit)m(y)h(is)j(three.)146 3027 y(Semileptonic)e(branc)m
41385 (hing)i(ratios)f(are)h(explicitly)f(giv)m(en)h(in)f(the)i(program)d
41386 (for)i(all)e(the)i(four)g(par-)0 3135 y(ticles)k(discussed)j(here,)g
41387 (i.e.)57 b(it)36 b(is)h(nev)m(er)h(necessary)i(to)d(generate)g(the)h
41388 (\015a)m(v)m(our)g(con)m(ten)m(t)g(using)f(the)0 3244
41389 y(fragmen)m(tation)26 b(description.)41 b(This)28 b(do)s(es)h(not)e
41390 (mean)h(that)f(all)f(branc)m(hing)i(ratios)f(are)h(kno)m(wn;)i(a)e
41391 (fair)0 3352 y(amoun)m(t)38 b(of)f(guessw)m(ork)k(is)c(in)m(v)m(olv)m
41392 (ed)i(for)f(the)h(c)m(hannels)g(with)e(higher)h(m)m(ultiplicities,)d
41393 (based)40 b(on)e(a)0 3460 y(kno)m(wledge)27 b(of)f(the)g(inclusiv)m(e)g
41394 (semileptonic)e(branc)m(hing)j(ratio)d(and)j(the)f(exclusiv)m(e)h
41395 (branc)m(hing)g(ratios)0 3569 y(for)32 b(lo)m(w)g(m)m(ultiplicities.)
41396 146 3677 y(In)47 b(semileptonic)e(deca)m(ys)k(it)d(is)g(not)h
41397 (appropriate)f(to)g(distribute)g(the)i(lepton)e(and)h(neutrino)0
41398 3785 y(momen)m(ta)31 b(according)h(to)g(phase)h(space.)45
41399 b(Instead)33 b(the)g(simple)e Fj(V)43 b Fn(\000)22 b
41400 Fj(A)33 b Fw(matrix)e(elemen)m(t)h(is)g(used,)h(in)0
41401 3894 y(the)k(limit)c(that)j(deca)m(y)i(pro)s(duct)f(masses)g(ma)m(y)f
41402 (b)s(e)h(neglected)g(and)g(that)f(quark)h(momen)m(ta)f(can)g(b)s(e)0
41403 4002 y(replaced)d(b)m(y)g(hadron)g(momen)m(ta.)42 b(Sp)s(eci\014cally)
41404 -8 b(,)31 b(in)h(the)h(deca)m(y)h Fj(H)h Fn(!)27 b Fj(`)2679
41405 3966 y Fl(+)2738 4002 y Fj(\027)2786 4017 y Fh(`)2819
41406 4002 y Fj(h)p Fw(,)33 b(where)h Fj(H)40 b Fw(is)32 b(a)g(c)m(harm)0
41407 4110 y(hadron)h(and)f Fj(h)h Fw(and)g(ordinary)f(hadron,)g(the)h
41408 (matrix)e(elemen)m(t)1449 4318 y Fn(jMj)1625 4277 y Fl(2)1691
41409 4318 y Fw(=)d(\()p Fj(p)1882 4333 y Fh(H)1949 4318 y
41410 Fj(p)1998 4333 y Fh(`)2031 4318 y Fw(\)\()p Fj(p)2156
41411 4333 y Fh(\027)2199 4318 y Fj(p)2248 4333 y Fh(h)2293
41412 4318 y Fw(\))1226 b(\(210\))0 4526 y(is)40 b(used)h(to)f(distribute)g
41413 (the)h(pro)s(ducts.)67 b(It)41 b(is)e(not)i(clear)e(ho)m(w)i(to)f
41414 (generalize)g(this)g(form)m(ula)e(when)0 4635 y(sev)m(eral)e(hadrons)g
41415 (are)g(presen)m(t)h(in)e(the)h(\014nal)f(state.)52 b(In)36
41416 b(the)g(program,)f(the)h(same)g(matrix)e(elemen)m(t)0
41417 4743 y(is)g(used)i(as)f(ab)s(o)m(v)m(e,)i(with)d Fj(p)1027
41418 4758 y Fh(h)1107 4743 y Fw(replaced)h(b)m(y)g(the)g(total)f(four-momen)
41419 m(tum)e(of)j(all)d(the)k(hadrons.)50 b(This)0 4851 y(tends)33
41420 b(to)f(fa)m(v)m(our)h(a)e(lo)m(w)h(in)m(v)-5 b(arian)m(t)31
41421 b(mass)h(for)f(the)i(hadronic)f(system)h(compared)f(with)f(na)-11
41422 b(\177)-38 b(\020v)m(e)33 b(phase)0 4960 y(space.)146
41423 5068 y(There)c(are)e(a)g(few)h(c)m(harm)f(hadrons,)i(suc)m(h)f(as)g
41424 (\004)1903 5083 y Fh(c)1965 5068 y Fw(and)f(\012)2219
41425 5083 y Fh(c)2254 5068 y Fw(,)i(whic)m(h)f(deca)m(y)g(w)m(eakly)g(but)g
41426 (are)f(so)h(rare)0 5176 y(that)k(little)f(is)h(kno)m(wn)i(ab)s(out)e
41427 (them.)43 b(F)-8 b(or)32 b(these)i(a)f(simpli\014ed)d(generic)j(c)m
41428 (harm)f(deca)m(y)i(treatmen)m(t)f(is)0 5285 y(used.)45
41429 b(F)-8 b(or)31 b(hadronic)g(deca)m(ys)j(only)e(the)h(quark)g(con)m(ten)
41430 m(t)g(is)f(giv)m(en,)g(and)g(then)h(a)f(m)m(ultiplicit)m(y)d(and)j(a)0
41431 5393 y(\015a)m(v)m(our)38 b(comp)s(osition)d(is)i(pic)m(k)m(ed)h(at)f
41432 (random,)h(as)f(already)g(describ)s(ed.)58 b(Semileptonic)35
41433 b(deca)m(ys)k(are)0 5501 y(assumed)26 b(to)f(pro)s(duce)h(only)f(one)h
41434 (hadron,)h(so)f(that)f Fj(V)k Fn(\000)8 b Fj(A)26 b Fw(matrix)e(elemen)
41435 m(t)h(can)h(b)s(e)f(simply)g(applied.)1817 5953 y(250)p
41436 eop
41437 %%Page: 251 257
41438 251 256 bop 0 -18 a Fo(13.3.3)113 b(W)-9 b(eak)37 b(deca)m(ys)h(of)g
41439 (the)f Fj(\034)49 b Fo(lepton)0 154 y Fw(F)-8 b(or)31
41440 b(the)i Fj(\034)43 b Fw(lepton,)32 b(an)g(explicit)e(list)h(of)g(deca)m
41441 (y)i(c)m(hannels)g(has)g(b)s(een)f(put)h(together,)f(whic)m(h)h
41442 (includes)0 263 y(c)m(hannels)41 b(with)f(up)h(to)f(\014v)m(e)i
41443 (\014nal-state)e(particles,)i(some)e(of)g(whic)m(h)h(ma)m(y)f(b)s(e)h
41444 (unstable)g(and)f(sub-)0 371 y(sequen)m(tly)j(deca)m(y)f(to)e(pro)s
41445 (duce)i(ev)m(en)g(larger)e(total)f(m)m(ultiplicities.)64
41446 b(Because)43 b(of)d(the)h(w)m(ell-kno)m(wn)0 479 y(`)p
41447 Fj(\034)50 b Fw(puzzle',)40 b(i.e.)61 b(that)38 b(exp)s(erimen)m(tally)
41448 f(the)i(sum)f(of)g(branc)m(hing)g(ratios)f(for)h(exclusiv)m(e)i
41449 (one-prong)0 588 y(deca)m(ys)33 b(is)e(lo)m(w)m(er)g(than)g(the)h
41450 (inclusiv)m(e)f(one-prong)g(branc)m(hing)g(ratio,)f(suc)m(h)i(a)f
41451 (table)g(cannot)g(b)s(e)h(con-)0 696 y(structed)c(in)f(full)e(agreemen)
41452 m(t)j(with)e(the)i(PDG)e(data.)42 b(\(The)28 b(problem)e(is)g(no)m(w)m
41453 (ada)m(ys)k(less)d(sev)m(ere)i(than)0 804 y(it)j(used)h(to)g(b)s(e,)f
41454 (but)h(still)d(not)j(fully)e(resolv)m(ed.\))146 913 y(The)k(leptonic)e
41455 (deca)m(ys)j Fj(\034)1082 876 y Fk(\000)1172 913 y Fn(!)30
41456 b Fj(\027)1350 928 y Fh(\034)1393 913 y Fj(`)1434 876
41457 y Fk(\000)p 1493 860 55 4 v 1493 913 a Fj(\027)1548 928
41458 y Fh(`)1581 913 y Fw(,)k(where)h Fj(`)f Fw(is)g(e)g(or)g
41459 Fj(\026)p Fw(,)g(are)g(distributed)g(according)f(to)h(the)0
41460 1021 y(standard)f Fj(V)44 b Fn(\000)22 b Fj(A)33 b Fw(matrix)e(elemen)m
41461 (t)1400 1212 y Fn(jMj)1576 1171 y Fl(2)1642 1212 y Fw(=)c(\()p
41462 Fj(p)1832 1227 y Fh(\034)1876 1212 y Fj(p)p 1925 1188
41463 40 4 v 15 x Fh(\027)1963 1239 y Fe(`)1998 1212 y Fw(\)\()p
41464 Fj(p)2123 1227 y Fh(`)2155 1212 y Fj(p)2204 1227 y Fh(\027)2239
41465 1235 y Fe(\034)2282 1212 y Fw(\))33 b Fj(:)1177 b Fw(\(211\))0
41466 1403 y(\(The)25 b(corresp)s(onding)f(matrix)f(elemen)m(t)h(is)f(also)g
41467 (used)j(in)d Fj(\026)h Fw(deca)m(ys,)k(but)c(normally)e(the)i
41468 Fj(\026)g Fw(is)g(assumed)0 1511 y(stable.\))146 1620
41469 y(In)42 b Fj(\034)52 b Fw(deca)m(ys)44 b(to)c(hadrons,)k(the)e(hadrons)
41470 g(and)f(the)h Fj(\027)2202 1635 y Fh(\034)2286 1620 y
41471 Fw(are)f(distributed)g(according)g(to)g(phase)0 1728
41472 y(space)d(times)e(the)h(factor)f Fj(x)1040 1743 y Fh(\027)1101
41473 1728 y Fw(\(3)24 b Fn(\000)i Fj(x)1370 1743 y Fh(\027)1413
41474 1728 y Fw(\),)38 b(where)g Fj(x)1857 1743 y Fh(\027)1936
41475 1728 y Fw(=)d(2)p Fj(E)2168 1743 y Fh(\027)2211 1728
41476 y Fj(=m)2345 1743 y Fh(\034)2425 1728 y Fw(in)h(the)h(rest)g(frame)f
41477 (of)h(the)g Fj(\034)11 b Fw(.)57 b(The)0 1836 y(latter)31
41478 b(factor)g(is)g(the)h Fj(\027)855 1851 y Fh(\034)930
41479 1836 y Fw(sp)s(ectrum)g(predicted)g(b)m(y)h(the)f(parton)f(lev)m(el)g
41480 Fj(V)42 b Fn(\000)21 b Fj(A)32 b Fw(matrix)e(elemen)m(t,)h(and)0
41481 1945 y(therefore)45 b(represen)m(ts)i(an)d(attempt)f(to)h(tak)m(e)h(in)
41482 m(to)f(accoun)m(t)h(that)f(the)h Fj(\027)2811 1960 y
41483 Fh(\034)2898 1945 y Fw(should)g(tak)m(e)g(a)f(larger)0
41484 2053 y(momen)m(tum)31 b(fraction)h(than)g(giv)m(en)h(b)m(y)g(phase)h
41485 (space)g(alone.)146 2161 y(The)43 b(probably)f(largest)g(shortcoming)f
41486 (of)g(the)i Fj(\034)53 b Fw(deca)m(y)44 b(treatmen)m(t)e(is)g(that)g
41487 (no)g(p)s(olarization)0 2270 y(e\013ects)d(are)g(included,)g(i.e.)59
41488 b(the)39 b Fj(\034)49 b Fw(is)38 b(alw)m(a)m(ys)h(assumed)g(to)e(deca)m
41489 (y)j(isotropically)-8 b(.)57 b(Usually)37 b(this)h(is)0
41490 2378 y(not)f(correct,)j(since)e(a)f Fj(\034)49 b Fw(is)37
41491 b(pro)s(duced)h(p)s(olarized)e(in)h(Z)2095 2342 y Fl(0)2171
41492 2378 y Fw(and)h(W)2467 2342 y Fk(\006)2564 2378 y Fw(deca)m(ys.)60
41493 b(The)38 b Fq(LUTAUD)h Fw(routine)0 2487 y(pro)m(vides)i(a)e(generic)h
41494 (in)m(terface)g(to)g(an)f(external)h Fj(\034)52 b Fw(deca)m(y)41
41495 b(library)-8 b(,)40 b(where)h(suc)m(h)h(e\013ects)f(could)e(b)s(e)0
41496 2595 y(handled)33 b(\(see)g(also)f Fq(MSTJ\(28\))p Fw(\).)0
41497 2840 y Fo(13.3.4)113 b(W)-9 b(eak)37 b(deca)m(ys)h(of)g(b)s(ottom)e
41498 (hadrons)0 3013 y Fw(Some)31 b(exclusiv)m(e)i(branc)m(hing)e(ratios)f
41499 (no)m(w)i(start)g(to)f(b)s(e)h(kno)m(wn)g(for)f(B)h(deca)m(ys.)45
41500 b(In)32 b(this)f(v)m(ersion,)h(the)0 3121 y(B)69 3085
41501 y Fl(0)109 3121 y Fw(,)39 b(B)244 3085 y Fl(+)303 3121
41502 y Fw(,)g(B)438 3085 y Fl(0)438 3146 y(s)515 3121 y Fw(and)f(\003)778
41503 3085 y Fl(0)778 3146 y(b)859 3121 y Fw(therefore)h(app)s(ear)e(in)g(a)h
41504 (similar)c(v)m(ein)39 b(to)e(the)h(one)g(outlined)f(ab)s(o)m(v)m(e)i
41505 (for)e(D)3721 3085 y Fl(+)3721 3146 y(s)0 3229 y Fw(and)g(\003)262
41506 3193 y Fl(+)262 3254 y(c)357 3229 y Fw(ab)s(o)m(v)m(e.)56
41507 b(That)37 b(is,)g(all)e(leptonic)g(c)m(hannels)j(and)e(all)f(hadronic)h
41508 (t)m(w)m(o-b)s(o)s(dy)h(deca)m(y)h(c)m(hannels)0 3338
41509 y(are)d(explicitly)e(listed,)i(while)f(hadronic)h(c)m(hannels)h(with)f
41510 (three)g(or)g(more)f(particles)h(are)g(only)f(giv)m(en)0
41511 3446 y(in)43 b(terms)g(of)g(a)g(quark)h(con)m(ten)m(t.)77
41512 b(The)45 b(B)1606 3461 y Fl(c)1685 3446 y Fw(is)e(exceptional,)i(in)e
41513 (that)g(either)g(the)h(b)s(ottom)e(or)h(the)0 3555 y(c)m(harm)j(quark)g
41514 (ma)m(y)g(deca)m(y)i(\014rst,)h(and)d(in)g(that)f(annihilation)e
41515 (graphs)j(ma)m(y)g(b)s(e)g(non-negligible.)0 3663 y(Leptonic)c(and)g
41516 (semileptonic)e(c)m(hannels)j(are)f(here)h(giv)m(en)f(in)f(full,)i
41517 (while)e(hadronic)h(c)m(hannels)g(are)0 3771 y(only)36
41518 b(listed)g(in)f(terms)i(of)f(a)g(quark)i(con)m(ten)m(t,)g(with)f(a)f
41519 (relativ)m(e)g(comp)s(osition)e(as)j(giv)m(en)f(in)g([Lus91].)0
41520 3880 y(No)25 b(separate)i(branc)m(hing)e(ratios)g(are)h(set)g(for)f(an)
41521 m(y)h(of)f(the)h(other)g(w)m(eakly)h(deca)m(ying)f(b)s(ottom)e
41522 (hadrons,)0 3988 y(but)37 b(instead)g(a)g(pure)h(`sp)s(ectator)f
41523 (quark')h(mo)s(del)d(is)i(assumed,)i(where)f(the)f(deca)m(y)i(of)d(the)
41524 i(b)f(quark)0 4096 y(is)31 b(the)i(same)e(in)h(all)d(hadrons)k(and)f
41525 (the)g(only)g(di\013erence)g(in)f(\014nal)g(\015a)m(v)m(our)i(con)m
41526 (ten)m(t)g(comes)f(from)f(the)0 4205 y(sp)s(ectator)41
41527 b(quark.)70 b(Compared)41 b(to)f(the)i(c)m(harm)f(deca)m(ys,)k(the)c(w)
41528 m(eak)h(deca)m(y)h(matrix)c(elemen)m(ts)i(are)0 4313
41529 y(giv)m(en)33 b(somewhat)f(larger)g(imp)s(ortance)f(in)h(the)h
41530 (hadronic)f(deca)m(y)i(c)m(hannels.)146 4421 y(In)24
41531 b(semileptonic)e(deca)m(ys)j(b)j Fn(!)f Fw(c)p Fj(`)1402
41532 4385 y Fk(\000)p 1462 4368 55 4 v 1462 4421 a Fj(\027)1516
41533 4436 y Fh(`)1572 4421 y Fw(the)d(c)g(quark)g(is)f(com)m(bined)h(with)f
41534 (the)h(sp)s(ectator)f(an)m(tiquark)0 4530 y(or)28 b(diquark)g(to)g
41535 (form)g(one)g(single)g(hadron.)42 b(This)28 b(hadron)h(ma)m(y)f(b)s(e)g
41536 (either)g(a)g(pseudoscalar,)i(a)e(v)m(ector)0 4638 y(or)d(a)g(higher)g
41537 (resonance)i(\(tensor)f(etc.\).)42 b(The)26 b(relativ)m(e)f(fraction)f
41538 (of)h(the)h(higher)f(resonances)i(has)f(b)s(een)0 4746
41539 y(pic)m(k)m(ed)39 b(to)f(b)s(e)h(ab)s(out)e(30\045,)j(in)d(order)h(to)g
41540 (giv)m(e)g(a)g(leptonic)f(sp)s(ectrum)i(in)e(reasonable)h(exp)s(erimen)
41541 m(t)0 4855 y(with)e(data.)54 b(\(This)37 b(only)f(applies)f(to)h(the)h
41542 (main)d(particles)i(B)2315 4818 y Fl(0)2354 4855 y Fw(,)i(B)2488
41543 4818 y Fl(+)2547 4855 y Fw(,)f(B)2680 4818 y Fl(0)2680
41544 4879 y(s)2756 4855 y Fw(and)f(\003)3017 4818 y Fl(0)3017
41545 4879 y(b)3060 4855 y Fw(;)j(for)c(the)i(rest)g(the)0
41546 4963 y(c)m(hoice)25 b(is)f(according)f(to)i(the)f(standard)h(comp)s
41547 (osition)d(in)i(the)h(fragmen)m(tation.\))38 b(The)26
41548 b(o)m(v)m(erall)d(pro)s(cess)0 5071 y(is)32 b(therefore)i
41549 Fj(H)i Fn(!)27 b Fj(h`)849 5035 y Fk(\000)p 908 5018
41550 V 908 5071 a Fj(\027)963 5086 y Fh(`)996 5071 y Fw(,)33
41551 b(where)h Fj(H)40 b Fw(is)33 b(a)f(b)s(ottom)g(an)m(timeson)g(or)g(a)h
41552 (b)s(ottom)e(bary)m(on)j(\(remem)m(b)s(er)0 5189 y(that)p
41553 219 5111 70 4 v 40 w(B)41 b(is)f(the)h(one)g(that)f(con)m(tains)g(a)h
41554 (b)f(quark\),)j(and)e(the)g(matrix)e(elemen)m(t)h(used)i(to)e
41555 (distribute)0 5298 y(momen)m(ta)31 b(is)1419 5406 y Fn(jMj)1595
41556 5365 y Fl(2)1661 5406 y Fw(=)d(\()p Fj(p)1852 5421 y
41557 Fh(H)1919 5406 y Fj(p)1968 5421 y Fh(\027)2011 5406 y
41558 Fw(\)\()p Fj(p)2136 5421 y Fh(`)2169 5406 y Fj(p)2218
41559 5421 y Fh(h)2263 5406 y Fw(\))k Fj(:)1197 b Fw(\(212\))0
41560 5561 y(Again)23 b(deca)m(y)j(pro)s(duct)e(masses)h(ha)m(v)m(e)h(b)s
41561 (een)e(neglected)h(in)f(the)g(matrix)f(elemen)m(t,)j(but)e(in)f(the)i
41562 (branc)m(h-)0 5669 y(ing)i(ratios)f(the)i Fj(\034)640
41563 5633 y Fk(\000)p 700 5616 55 4 v 700 5669 a Fj(\027)754
41564 5684 y Fh(\034)825 5669 y Fw(c)m(hannel)g(has)g(b)s(een)g(reduced)h(in)
41565 e(rate,)i(compared)e(with)h(e)2960 5633 y Fk(\000)p 3019
41566 5616 V 3019 5669 a Fj(\027)3073 5684 y Fl(e)3137 5669
41567 y Fw(and)f Fj(\026)3380 5633 y Fk(\000)p 3439 5616 V
41568 3439 5669 a Fj(\027)3493 5684 y Fh(\026)3568 5669 y Fw(ones,)1817
41569 5953 y(251)p eop
41570 %%Page: 252 258
41571 252 257 bop 0 -18 a Fw(according)34 b(to)h(the)g(exp)s(ected)i(mass)e
41572 (e\013ects.)52 b(No)34 b(CKM-suppressed)k(deca)m(ys)f(b)32
41573 b Fn(!)f Fw(u)p Fj(`)3265 -55 y Fk(\000)p 3324 -71 55
41574 4 v 3324 -18 a Fj(\027)3379 -3 y Fh(`)3447 -18 y Fw(are)k(cur-)0
41575 90 y(ren)m(tly)e(included.)146 198 y(In)43 b(most)e(m)m(ultib)s(o)s(dy)
41576 f(hadronic)i(deca)m(ys,)k(e.g.)73 b(b)44 b Fn(!)f Fw(cd)p
41577 2323 145 V(u)q(,)i(the)d(c)h(quark)f(is)g(again)f(com)m(bined)0
41578 307 y(with)34 b(the)g(sp)s(ectator)h(\015a)m(v)m(our)g(to)f(form)f(one)
41579 h(single)f(hadron,)i(and)f(thereafter)h(the)g(hadron)f(and)g(the)0
41580 415 y(t)m(w)m(o)d(quark)g(momen)m(ta)e(are)i(distributed)e(according)h
41581 (to)g(the)h(same)f(matrix)f(elemen)m(t)h(as)g(ab)s(o)m(v)m(e,)i(with)0
41582 523 y Fj(`)41 487 y Fk(\000)140 523 y Fn($)40 b Fw(d)g(and)p
41583 571 470 V 40 w Fj(\027)626 538 y Fh(`)699 523 y Fn($)p
41584 838 470 V 39 w Fw(u)q(.)65 b(The)41 b(in)m(v)-5 b(arian)m(t)39
41585 b(mass)g(of)h(the)g(t)m(w)m(o)h(quarks)g(is)e(calculated)g(next.)67
41586 b(If)40 b(this)0 632 y(mass)c(is)f(so)i(lo)m(w)e(that)h(t)m(w)m(o)g
41587 (hadrons)h(cannot)f(b)s(e)g(formed)f(from)g(the)h(system,)i(the)f(t)m
41588 (w)m(o)f(quarks)h(are)0 740 y(com)m(bined)f(in)m(to)f(one)i(single)e
41589 (hadron.)54 b(Else)37 b(the)g(same)f(kind)g(of)f(approac)m(h)i(as)g(in)
41590 e(hadronic)h(c)m(harm)0 848 y(deca)m(ys)31 b(is)d(adopted,)i(wherein)g
41591 (a)f(m)m(ultiplicit)m(y)c(is)j(selected,)j(a)e(n)m(um)m(b)s(er)g(of)g
41592 (hadrons)g(are)g(formed)f(and)0 957 y(thereafter)k(momen)m(ta)f(are)h
41593 (distributed)f(according)h(to)f(phase)i(space.)44 b(The)33
41594 b(di\013erence)g(is)e(that)h(here)0 1065 y(the)f(c)m(harm)g(deca)m(y)i
41595 (pro)s(duct)e(is)g(distributed)f(according)h(to)f(the)i
41596 Fj(V)40 b Fn(\000)20 b Fj(A)31 b Fw(matrix)f(elemen)m(t,)h(and)g(only)0
41597 1173 y(the)40 b(rest)h(of)e(the)h(system)h(is)e(assumed)h(isotropic)f
41598 (in)f(its)i(rest)g(frame,)h(while)e(in)f(c)m(harm)i(deca)m(ys)i(all)0
41599 1282 y(hadrons)33 b(are)g(distributed)f(isotropically)-8
41600 b(.)146 1390 y(Note)36 b(that)f(the)h(c)f(quark)h(and)g(the)f(sp)s
41601 (ectator)h(are)f(assumed)h(to)f(form)f(one)i(colour)e(singlet)g(and)0
41602 1498 y(the)h(d)p 224 1445 V(u)g(another,)g(separate)g(one.)49
41603 b(It)35 b(is)f(th)m(us)h(assumed)g(that)g(the)g(original)c(colour)i
41604 (assignmen)m(ts)i(of)0 1607 y(the)42 b(basic)f(hard)g(pro)s(cess)i(are)
41605 e(b)s(etter)g(retained)g(than)h(in)e(c)m(harm)h(deca)m(ys.)72
41606 b(Ho)m(w)m(ev)m(er,)45 b(sometimes)0 1715 y(this)40 b(will)e(not)j(b)s
41607 (e)g(true,)i(and)d(with)h(ab)s(out)f(20\045)g(probabilit)m(y)f(the)i
41608 (colour)e(assignmen)m(t)i(is)f(\015ipp)s(ed)0 1823 y(around)e(so)f
41609 (that)h(c)p 720 1770 V(u)g(forms)f(one)g(singlet.)58
41610 b(\(In)38 b(the)g(program,)f(this)g(is)g(ac)m(hiev)m(ed)i(b)m(y)g(c)m
41611 (hanging)e(the)0 1932 y(order)d(in)f(whic)m(h)i(deca)m(y)g(pro)s(ducts)
41612 g(are)f(giv)m(en.\))47 b(In)35 b(particular,)d(the)j(deca)m(y)g(b)30
41613 b Fn(!)g Fw(cs)p 3167 1879 44 4 v(c)35 b(is)f(allo)m(w)m(ed)f(to)0
41614 2040 y(giv)m(e)c(a)g(c)p 318 1987 V(c)g(colour-singlet)e(state)i(part)g
41615 (of)f(the)h(time,)g(and)g(this)f(state)i(ma)m(y)e(collapse)g(to)h(a)g
41616 (single)f(J)p Fj(= )t Fw(.)0 2148 y(Tw)m(o-b)s(o)s(dy)i(deca)m(ys)i(of)
41617 d(this)g(t)m(yp)s(e)i(are)e(explicitly)f(listed)h(for)g(B)2334
41618 2112 y Fl(0)2374 2148 y Fw(,)h(B)2500 2112 y Fl(+)2559
41619 2148 y Fw(,)g(B)2685 2112 y Fl(0)2685 2173 y(s)2755 2148
41620 y Fw(and)f(\003)3009 2112 y Fl(0)3009 2173 y(b)3052 2148
41621 y Fw(;)i(while)e(other)h(J)p Fj(= )0 2257 y Fw(pro)s(duction)i(c)m
41622 (hannels)h(app)s(ear)g(from)e(the)i(\015a)m(v)m(our)h(con)m(ten)m(t)f
41623 (sp)s(eci\014cation.)146 2386 y(The)g(B)415 2349 y Fl(0)455
41624 2386 y Fw({)p 504 2308 70 4 v(B)572 2327 y Fl(0)644 2386
41625 y Fw(and)e(B)901 2349 y Fl(0)901 2410 y(s)941 2386 y
41626 Fw({)p 990 2308 V(B)1059 2327 y Fl(0)1059 2410 y(s)1130
41627 2386 y Fw(systems)i(mix)e(b)s(efore)h(deca)m(y)-8 b(.)44
41628 b(This)32 b(is)g(optionally)d(included.)43 b(With)31
41629 b(a)0 2494 y(probabilit)m(y)1477 2671 y Fn(P)1546 2686
41630 y Fl(\015ip)1676 2671 y Fw(=)c(sin)1899 2630 y Fl(2)1955
41631 2525 y Fg( )2066 2604 y Fj(x)17 b(\034)p 2031 2648 197
41632 4 v 2031 2739 a Fw(2)g Fn(h)p Fj(\034)11 b Fn(i)2237
41633 2525 y Fg(!)3557 2671 y Fw(\(213\))0 2918 y(a)32 b(B)g(is)g(therefore)h
41634 (allo)m(w)m(ed)e(to)h(deca)m(y)i(lik)m(e)e(a)p 1685 2840
41635 70 4 v 32 w(B,)g(and)g(vice)h(v)m(ersa.)45 b(The)33 b(mixing)d
41636 (parameters)i(are)h(b)m(y)0 3046 y(default)f Fj(x)383
41637 3061 y Fl(d)454 3046 y Fw(=)c(0)p Fj(:)p Fw(7)k(in)g(the)h(B)1066
41638 3010 y Fl(0)1105 3046 y Fw({)p 1154 2968 V(B)1223 2988
41639 y Fl(0)1295 3046 y Fw(system)h(and)e Fj(x)1863 3061 y
41640 Fl(s)1923 3046 y Fw(=)c(10)k(in)g(the)h(B)2508 3010 y
41641 Fl(0)2508 3071 y(s)2547 3046 y Fw({)p 2596 2968 V(B)2665
41642 2988 y Fl(0)2665 3071 y(s)2737 3046 y Fw(one.)146 3155
41643 y(The)40 b(generic)e(B)h(meson)f(and)h(bary)m(on)g(deca)m(y)h(prop)s
41644 (erties)e(are)g(stored)h(for)f(`particle')g(85.)60 b(This)0
41645 3263 y(particle)34 b(con)m(tains)i(a)f(description)g(of)g(the)h(free)g
41646 (b)f(quark)h(deca)m(y)-8 b(,)38 b(with)d(an)g(instruction)g(to)g
41647 (\014nd)h(the)0 3372 y(sp)s(ectator)31 b(\015a)m(v)m(our)g(according)f
41648 (to)g(the)g(particle)f(co)s(de)i(of)f(the)h(actual)e(deca)m(ying)i
41649 (hadron.)43 b(Curren)m(tly)0 3480 y(bary)m(ons)36 b(other)g(than)f
41650 (\003)922 3444 y Fl(0)922 3504 y(b)1001 3480 y Fw(are)g(treated)h(this)
41651 f(w)m(a)m(y)-8 b(.)53 b(If)36 b(so)f(desired,)i(eac)m(h)f(hadron)g
41652 (could)f(b)s(e)g(giv)m(en)h(a)0 3588 y(separate)f(deca)m(y)h(c)m
41653 (hannel)f(list,)e(or)h(all)f(B)h(hadrons)h(could)f(b)s(e)h(mapp)s(ed)f
41654 (to)g(particle)f(85,)i(as)f(used)i(to)0 3697 y(b)s(e)d(the)g(case..)0
41655 3944 y Fo(13.3.5)113 b(W)-9 b(eak)37 b(deca)m(ys)h(of)g(top)f(and)i
41656 (fourth)e(generation)0 4117 y Fw(As)31 b(already)f(explained)h(in)f
41657 (section)g(13.1,)h(hea)m(vy)h(quarks)g(are)f(normally)d(assumed)j(to)f
41658 (deca)m(y)i(b)s(efore)0 4225 y(they)g(fragmen)m(t.)43
41659 b(Optionally)-8 b(,)29 b(they)j(ma)m(y)f(b)s(e)h(allo)m(w)m(ed)e(to)h
41660 (fragmen)m(t)g(b)s(efore)g(they)i(deca)m(y)-8 b(.)44
41661 b(In)32 b(either)0 4334 y(case,)i(the)f(deca)m(y)h(itself)d(is)h
41662 (handled)g(as)h(if)f(the)h(hea)m(vy)h(\015a)m(v)m(our)f(is)f(free.)146
41663 4442 y(F)-8 b(or)41 b(a)h(hadron,)i(some)e(of)f(the)h(hadron)g(energy)h
41664 (is)e(reserv)m(ed)k(for)c(the)h(sp)s(ectator)g(quark.)73
41665 b(The)0 4550 y(deca)m(y)34 b(matrix)d(elemen)m(t)h(used)i(for)e(Q)c
41666 Fn(!)f Fw(q)p 1602 4471 37 4 v(f)7 b(f)40 b(is)1068 4820
41667 y Fn(jMj)1244 4779 y Fl(2)1310 4820 y Fn(/)1779 4752
41668 y Fw(\()p Fj(p)1866 4767 y Fl(Q)1925 4752 y Fj(p)p 1974
41669 4725 31 4 v 29 x Fl(f)2004 4752 y Fw(\)\()p Fj(p)2129
41670 4767 y Fl(f)2160 4752 y Fj(p)2209 4767 y Fl(q)2251 4752
41671 y Fw(\))p 1425 4797 1217 4 v 1425 4900 a(\(\()p Fj(p)1550
41672 4915 y Fl(f)1603 4900 y Fw(+)22 b Fj(p)p 1750 4872 31
41673 4 v 29 x Fl(f)1781 4900 y Fw(\))1819 4871 y Fl(2)1881
41674 4900 y Fn(\000)g Fj(m)2065 4866 y Fl(2)2065 4924 y(W)2143
41675 4900 y Fw(\))2181 4849 y Fl(2)2243 4900 y Fw(+)g Fj(m)2426
41676 4866 y Fl(2)2426 4924 y(W)2503 4900 y Fw(\000)2564 4866
41677 y Fl(2)2564 4924 y(W)2685 4820 y Fj(:)845 b Fw(\(214\))0
41678 5106 y(Here)33 b(Q)e(ma)m(y)h(represen)m(t)i(the)f(t)e(or)h(an)m(y)h
41679 (of)e(the)i(fourth)e(generation)h(quarks,)h(l)e(and)h(h.)44
41680 b(With)31 b(trivial)0 5214 y(c)m(hange)39 b(of)e(notation,)h(the)g
41681 (lepton)g Fj(\037)f Fw(ob)s(eys)i(the)g(same)e(form)m(ula.)58
41682 b(The)38 b(f)p 2797 5135 37 4 v 7 w(f)45 b(pair)36 b(are)i(the)h
41683 (fermions)0 5322 y(from)23 b(the)i(W)h(deca)m(y)-8 b(,)28
41684 b(either)c(quarks)i(or)e(leptons.)41 b(The)25 b(program)e(tak)m(es)j
41685 (care)f(of)f(the)h(e\013ects)h(of)e(the)h(W)0 5431 y(propagator,)k
41686 (whatev)m(er)j(the)e(mass)f(di\013erence)h Fj(m)1857
41687 5446 y Fl(Q)1933 5431 y Fn(\000)16 b Fj(m)2111 5446 y
41688 Fl(q)2153 5431 y Fw(,)30 b(with)f(one)h(pro)m(viso:)42
41689 b(the)30 b(selection)f(of)g(the)0 5539 y(q)h(\015a)m(v)m(our)h(is)f
41690 (done)g(according)g(to)f(\014xed)j(branc)m(hing)e(ratios,)f(and)h(do)s
41691 (es)h(th)m(us)g(not)f(tak)m(e)g(in)m(to)g(accoun)m(t)0
41692 5647 y(the)j(relativ)m(e)f(enhancemen)m(t)i(of)d(a)i(CKM-suppressed)i
41693 (q)e(due)g(to)f(mass)h(e\013ects.)44 b(This)33 b(w)m(ould)g(pla)m(y)f
41694 (a)1817 5953 y(252)p eop
41695 %%Page: 253 259
41696 253 258 bop 0 -18 a Fw(r^)-49 b(ole)28 b(around)g(thresholds,)i(e.g.,)g
41697 (with)e Fj(m)1509 -3 y Fl(t)1568 -18 y Fn(\031)h Fj(m)1759
41698 -3 y Fl(W)1836 -18 y Fw(,)h(the)f(t)e Fn(!)h Fw(s)g(w)m(ould)h(b)s(e)g
41699 (enhanced)h(compared)e(with)0 90 y(t)g Fn(!)f Fw(b.)43
41700 b(On)32 b(the)h(other)f(hand,)h(threshold)f(factors)g(are)g(included)f
41701 (for)h(the)g(c)m(hoice)h(of)e(the)i(f)p 3389 11 37 4
41702 v 7 w(f)38 b(fermion)0 198 y(pair)32 b(from)f(the)i(W)h(deca)m(y)-8
41703 b(.)146 307 y(F)g(or)37 b(the)h(alternativ)m(e)f(with)g(a)g(rapidly)f
41704 (deca)m(ying)i(top)f(quark,)j(so)e(that)f(no)h(hadron)f(is)g(formed,)0
41705 415 y(one)32 b(is)g(not)g(close)g(to)f(threshold.)44
41706 b(The)33 b(comp)s(osition)c(of)j(the)g(ligh)m(t)f(\015a)m(v)m(our)i
41707 (pro)s(duced)f(in)g(the)g(deca)m(y)0 523 y(is)d(then)h(calculated)f
41708 (according)g(to)g(the)h(resp)s(ectiv)m(e)h(phase)g(space)f(times)f(CKM)
41709 h(w)m(eigh)m(t.)43 b(By)30 b(default)0 632 y(the)24 b(W)i(deca)m(ys)f
41710 (with)f(the)g(spin)g(information)d(implicit)f(in)j(the)h(matrix)f
41711 (elemen)m(t)g(ab)s(o)m(v)m(e,)k(but)d(isotropic)0 740
41712 y(W)34 b(deca)m(y)g(is)e(an)h(option.)146 848 y(The)j(b)f(quark)h(pro)s
41713 (duced)g(in)e(the)i(deca)m(y)g(t)c Fn(!)f Fw(bW)2061
41714 812 y Fl(+)2156 848 y Fw(ma)m(y)k(b)s(e)g(allo)m(w)m(ed)f(to)h
41715 (radiate.)50 b(It)35 b(thereb)m(y)0 957 y(acquires)29
41716 b(an)f(e\013ectiv)m(e)h(mass,)g(whic)m(h)g(means)f(that)g(the)g
41717 (kinematics)f(of)h(the)h(deca)m(y)g(is)f(c)m(hanged,)i(with)0
41718 1065 y(energy)k(sh)m(u\017ed)g(from)d(the)i(W)i(to)d(the)h(b.)146
41719 1173 y(The)j(system)f(con)m(taining)e(the)h(sp)s(ectator)h(quark)g
41720 (will)d(often)i(ha)m(v)m(e)i(a)e(mass)g(to)s(o)f(small)f(to)i(allo)m(w)
41721 0 1282 y(it)28 b(to)i(fragmen)m(t)e(lik)m(e)h(a)g(jet)h(system.)43
41722 b(In)30 b(these)h(cases)g(a)e(single)f(particle)h(is)g(formed)f(from)h
41723 (the)h(\015a)m(v)m(our)0 1390 y(con)m(ten)m(t,)h(with)c(a)h(momen)m
41724 (tum)f(v)m(ector)j(giv)m(en)e(b)m(y)h(the)g(sum)f(of)g(the)h(t)m(w)m(o)
41725 g(quark)g(momen)m(ta.)41 b(Since)28 b(the)0 1498 y(energy)h(of)f(this)g
41726 (particle)f(then)i(will)d(come)i(out)g(wrong,)i(the)e(momen)m(ta)g(of)f
41727 (the)i(other)g(jets)g(or)e(leptons)0 1607 y(in)35 b(the)g(deca)m(y)i
41728 (are)e(mo)s(di\014ed)g(sligh)m(tly)e(to)i(obtain)g(total)e(energy)k
41729 (conserv)-5 b(ation.)52 b(\(Of)34 b(course,)k(for)c Fj(\037)0
41730 1715 y Fw(deca)m(y)-8 b(,)34 b(there)f(is)f(no)h(sp)s(ectator)g(and)f
41731 (th)m(us)i(no)f(treatmen)m(t)f(of)g(this)g(kind.\))146
41732 1834 y(The)k(f)p 386 1755 V 7 w(f)41 b(pair)33 b(from)g(the)i(W)h(deca)
41733 m(y)g(is)e(allo)m(w)m(ed)f(to)h(sho)m(w)m(er,)j(i.e.)49
41734 b(emit)33 b(gluons)g(and)i(photons)g(ac-)0 1942 y(cording)d(to)h(the)g
41735 (standard)g(\014nal-state)f(radiation)f(algorithm,)f(including)h(matc)m
41736 (hing)h(to)g(\014rst-order)0 2051 y(matrix)37 b(elemen)m(ts.)63
41737 b(The)39 b(resulting)f(jet)h(system)g(is)g(fragmen)m(ted)f(with)h
41738 (ordinary)f(string)g(fragmen-)0 2159 y(tation)33 b(|)h(the)g(mass)g(is)
41739 g(here)h(so)g(high)e(that)h(a)g(fragmen)m(tation)e(description)i(is)g
41740 (quite)g(appropriate.)0 2267 y(Only)h(v)m(ery)h(rarely)f(w)m(ould)g
41741 (the)g(W)i(mass)e(b)s(e)g(b)s(elo)m(w)g(the)h(threshold)f(for)f(the)i
41742 (pro)s(duction)e(of)h(a)g(pair)0 2376 y(of)d(particles;)g(suc)m(h)i
41743 (kinematical)c(con\014gurations)i(are)h(rejected.)0 2623
41744 y Fo(13.3.6)113 b(Other)37 b(deca)m(ys)0 2796 y Fw(F)-8
41745 b(or)44 b(onia)f(spin)h(1)g(resonances,)50 b(deca)m(y)45
41746 b(c)m(hannels)h(in)m(to)d(a)i(pair)e(of)h(leptons)g(are)h(explicitly)d
41747 (giv)m(en.)0 2904 y(Hadronic)32 b(deca)m(ys)i(of)f(the)g(J)p
41748 Fj(= )j Fw(are)d(sim)m(ulated)e(using)h(the)h(\015a)m(v)m(our)g
41749 (generation)f(mo)s(del)f(in)m(tro)s(duced)0 3013 y(for)h(c)m(harm.)45
41750 b(F)-8 b(or)32 b(\007)h(a)g(fraction)f(of)g(the)i(hadronic)e(deca)m(ys)
41751 j(is)e(in)m(to)f(q)p 2550 2960 52 4 v(q)i(pairs,)e(while)h(the)g(rest)h
41752 (is)e(in)m(to)0 3121 y(ggg)27 b(or)g(gg)q Fj(\015)5 b
41753 Fw(,)27 b(using)g(the)g(matrix)e(elemen)m(ts)i(of)f(eq.)i(\(44\).)41
41754 b(The)27 b Fj(\021)2351 3136 y Fh(c)2413 3121 y Fw(and)g
41755 Fj(\021)2645 3136 y Fh(b)2706 3121 y Fw(are)f(b)s(oth)h(allo)m(w)m(ed)f
41756 (to)g(deca)m(y)0 3230 y(in)m(to)36 b(a)h(gg)h(pair,)f(whic)m(h)h(then)g
41757 (subsequen)m(tly)i(fragmen)m(ts.)56 b(In)38 b(\007)f(and)g
41758 Fj(\021)2734 3245 y Fh(b)2806 3230 y Fw(deca)m(ys)i(the)e(partons)g
41759 (are)0 3338 y(allo)m(w)m(ed)h(to)g(sho)m(w)m(er)i(b)s(efore)e(fragmen)m
41760 (tation,)g(but)h(energies)f(are)h(to)s(o)e(lo)m(w)h(for)g(sho)m(w)m
41761 (ering)h(to)f(ha)m(v)m(e)0 3446 y(an)m(y)33 b(impact.)146
41762 3555 y(With)21 b(curren)m(t)i(b)s(ounds)g(on)f(the)g(top)f(mass,)j(one)
41763 e(do)s(es)h(not)e(exp)s(ect)i(the)g(formation)c(of)i(w)m(ell-de\014ned)
41764 0 3663 y(top)s(onium)g(states.)42 b(A)23 b(complete)f(description)h(of)
41765 g(the)g(resonance)i(structure)f(in)f(the)g(threshold)g(region)0
41766 3771 y(is)h(b)s(ey)m(ond)h(the)f(scop)s(e)h(of)f(the)g(program.)40
41767 b(The)25 b(approac)m(h)f(tak)m(en)h(for)f(the)g(top)s(onium)e(states)j
41768 (that)f(ha)m(v)m(e)0 3880 y(b)s(een)34 b(de\014ned)h(is)d(to)h(let)g
41769 (either)g(the)h(t)f(or)g(the)p 1734 3808 38 4 v 34 w(t)g(deca)m(y)h(w)m
41770 (eakly)h(\014rst,)f(then)f(do)h(the)f(fragmen)m(tation,)0
41771 3988 y(and)j(subsequen)m(tly)j(let)d(the)g(pro)s(duced)h(an)m(titop)f
41772 (or)g(top)g(hadron)g(deca)m(y)-8 b(.)55 b(A)37 b(b)s(etter)f
41773 (description)g(is)0 4096 y(pro)m(vided)d(b)m(y)h(the)f
41774 Fm(Pythia)f Fw(mac)m(hinery)h(for)f(resonance)i(deca)m(ys.)146
41775 4205 y(Default)26 b(branc)m(hing)h(ratios)f(are)h(giv)m(en)g(for)g
41776 (resonances)i(lik)m(e)d(the)i(Z)2626 4168 y Fl(0)2665
41777 4205 y Fw(,)g(the)f(W)2983 4168 y Fk(\006)3070 4205 y
41778 Fw(or)g(the)g(H)3419 4168 y Fl(0)3459 4205 y Fw(.)42
41779 b(When)0 4313 y Fm(Pythia)30 b Fw(is)g(initialized,)d(these)32
41780 b(n)m(um)m(b)s(ers)f(are)g(replaced)f(b)m(y)h(branc)m(hing)g(ratios)e
41781 (ev)-5 b(aluated)30 b(from)f(the)0 4421 y(giv)m(en)g(masses.)43
41782 b(F)-8 b(or)29 b(Z)841 4385 y Fl(0)909 4421 y Fw(and)g(W)1196
41783 4385 y Fk(\006)1285 4421 y Fw(the)g(branc)m(hing)g(ratios)g(dep)s(end)h
41784 (only)e(marginally)e(on)j(the)h(masses)0 4530 y(assumed,)37
41785 b(while)d(e\013ects)i(are)f(large)g(e.g.)51 b(for)34
41786 b(the)i(H)1976 4493 y Fl(0)2016 4530 y Fw(.)51 b(In)35
41787 b(fact,)h(branc)m(hing)f(ratios)f(ma)m(y)h(v)-5 b(ary)35
41788 b(o)m(v)m(er)0 4638 y(the)25 b(Breit{Wigner)e(resonance)j(shap)s(e,)h
41789 (something)d(whic)m(h)h(is)g(also)e(tak)m(en)j(in)m(to)e(accoun)m(t)h
41790 (in)f Fm(Pythia)p Fw(.)0 4746 y(Therefore)h(the)f(default)g(resonance)h
41791 (treatmen)m(t)f(of)30 b Fm(Jetset)23 b Fw(is)g(normally)f(not)i(so)g
41792 (useful,)i(and)e(should)0 4855 y(b)s(e)32 b(a)m(v)m(oided)g(\(except,)i
41793 (of)d(course,)i(the)g(standard)f(e)1909 4819 y Fl(+)1968
41794 4855 y Fw(e)2011 4819 y Fk(\000)2098 4855 y Fn(!)c Fj(\015)2282
41795 4819 y Fk(\003)2321 4855 y Fj(=)p Fw(Z)2430 4819 y Fl(0)2497
41796 4855 y Fn(!)f Fw(q)p 2675 4802 52 4 v(q)33 b(description\).)42
41797 b(When)33 b(it)e(is)0 4963 y(used,)38 b(a)d(c)m(hannel)h(is)f(selected)
41798 h(according)f(to)g(the)h(giv)m(en)g(\014xed)h(branc)m(hing)e(ratios.)52
41799 b(If)35 b(the)h(deca)m(y)h(is)0 5071 y(in)m(to)f(a)h(q)p
41800 339 5018 V(q)h(pair,)f(the)g(quarks)h(are)f(allo)m(w)m(ed)f(to)h(sho)m
41801 (w)m(er)h(and)f(subsequen)m(tly)j(the)d(parton)g(system)h(is)0
41802 5180 y(fragmen)m(ted.)1817 5953 y(253)p eop
41803 %%Page: 254 260
41804 254 259 bop 0 -18 a Ft(14)161 b(The)53 b(JETSET)h(Program)g(Elemen)l
41805 (ts)0 189 y Fw(In)28 b(this)f(section)h(w)m(e)g(collect)f(information)d
41806 (on)j(most)g(of)g(the)h(routines)g(and)f(common)f(blo)s(c)m(k)i(v)-5
41807 b(ariables)0 297 y(found)37 b(in)g Fm(Jetset)p Fw(.)56
41808 b(A)37 b(few)h(parts)g(are)f(discussed)i(elsewhere;)i(this)c(includes)g
41809 (the)h(e)3212 261 y Fl(+)3271 297 y Fw(e)3314 261 y Fk(\000)3410
41810 297 y Fw(routines,)0 405 y(parton)e(sho)m(w)m(ers)j(and)d(ev)m(en)m
41811 (t-analysis)h(routines.)55 b(In)37 b(this)e(section)i(the)g(emphasis)f
41812 (is)g(on)g(the)h(frag-)0 514 y(men)m(tation)31 b(and)i(deca)m(y)h(pac)m
41813 (k)-5 b(age,)33 b(and)g(on)f(generic)h(utilities)d(for)i(things)g(lik)m
41814 (e)g(ev)m(en)m(t)i(listing.)0 787 y Fp(14.1)136 b(De\014nition)45
41815 b(of)g(Initial)i(Con\014guration)e(or)g(V)-11 b(ariables)0
41816 960 y Fw(With)26 b(the)g(use)h(of)f(the)g(con)m(v)m(en)m(tions)i
41817 (describ)s(ed)f(for)f(the)g(ev)m(en)m(t)i(record,)g(it)d(is)h(p)s
41818 (ossible)f(to)h(sp)s(ecify)h(an)m(y)0 1068 y(initial)35
41819 b(jet/particle)i(con\014guration.)61 b(This)38 b(task)i(is)e
41820 (simpli\014ed)e(for)i(a)g(n)m(um)m(b)s(er)h(of)g(often)f(o)s(ccuring)0
41821 1177 y(situations)h(b)m(y)h(the)g(existence)h(of)f(the)g(\014lling)d
41822 (routines)i(b)s(elo)m(w.)65 b(It)40 b(should)f(b)s(e)h(noted)g(that)f
41823 (man)m(y)0 1285 y(users)j(do)f(not)g(come)f(in)g(direct)h(con)m(tact)g
41824 (with)g(these)h(routines,)h(since)e(that)g(is)f(tak)m(en)i(care)f(of)g
41825 (b)m(y)0 1394 y(higher-lev)m(el)31 b(routines)i(for)f(sp)s(eci\014c)h
41826 (pro)s(cesses,)i(particularly)d Fq(LUEEVT)i Fw(and)e
41827 Fq(PYEVNT)p Fw(.)146 1502 y(Sev)m(eral)k(calls)e(to)g(the)i(routines)f
41828 (can)g(b)s(e)h(com)m(bined)e(in)h(the)g(sp)s(eci\014cation.)51
41829 b(In)35 b(case)h(one)g(call)d(is)0 1610 y(enough,)e(the)g(complete)f
41830 (fragmen)m(tation/deca)m(y)g(c)m(hain)g(ma)m(y)h(b)s(e)f(sim)m(ulated)f
41831 (at)h(the)h(same)g(time.)41 b(A)m(t)0 1719 y(eac)m(h)35
41832 b(call,)e(the)i(v)-5 b(alue)33 b(of)41 b Fq(N)34 b Fw(is)g(up)s(dated)h
41833 (to)e(the)i(last)e(line)g(used)j(for)d(information)e(in)j(the)g(call,)f
41834 (so)i(if)0 1827 y(sev)m(eral)h(calls)f(are)g(used,)j(they)e(should)g(b)
41835 s(e)f(made)h(with)f(increasing)h Fq(IP)g Fw(n)m(um)m(b)s(er,)h(or)e
41836 (else)h Fq(N)g Fw(should)0 1935 y(b)s(e)d(rede\014ned)h(b)m(y)g(hand)e
41837 (afterw)m(ards.)146 2044 y(The)c(routine)e Fq(LUJOIN)i
41838 Fw(is)f(v)m(ery)h(useful)f(to)f(de\014ne)i(the)f(colour)f(\015o)m(w)i
41839 (in)e(more)g(complicated)f(parton)0 2152 y(con\014gurations;)34
41840 b(thereb)m(y)h(one)f(can)f(b)m(ypass)j(the)d(not)h(so)f(trivial)e
41841 (rules)j(for)f(ho)m(w)h(to)f(set)h(the)g Fq(K\(I,4\))0
41842 2260 y Fw(and)f Fq(K\(I,5\))h Fw(colour-\015o)m(w)e(information.)146
41843 2369 y(As)40 b(an)g(exp)s(erimen)m(t,)h(the)f(routine)f
41844 Fq(LUGIVE)i Fw(con)m(tains)f(a)f(facilit)m(y)f(to)h(set)h(v)-5
41845 b(arious)39 b(comon)m(blo)s(c)m(k)0 2477 y(v)-5 b(ariables)31
41846 b(in)h(a)g(con)m(trolled)g(and)h(do)s(cumen)m(ted)g(fashion.)p
41847 0 2602 1646 9 v 0 2827 9 225 v 79 2742 a Fq(CALL)52 b
41848 (LU1ENT\(IP,KF,PE,THE,PHI)q(\))p 1637 2827 V 0 2835 1646
41849 9 v 0 2967 a Fo(Purp)s(ose:)c Fw(to)32 b(add)h(one)g(en)m(try)g(to)f
41850 (the)h(ev)m(en)m(t)i(record,)e(i.e.)43 b(either)32 b(a)h(jet)f(or)h(a)f
41851 (particle.)0 3075 y Fq(IP)52 b(:)267 b Fw(normally)31
41852 b(line)g(n)m(um)m(b)s(er)i(for)f(the)h(jet/particle.)42
41853 b(There)34 b(are)e(t)m(w)m(o)i(exceptions.)472 3183 y(If)40
41854 b Fq(IP=0)p Fw(,)34 b(line)d(n)m(um)m(b)s(er)i(1)f(is)g(used)i(and)f
41855 Fq(LUEXEC)h Fw(is)e(called.)472 3292 y(If)43 b Fq(IP<0)p
41856 Fw(,)38 b(line)c Fq(-IP)i Fw(is)g(used,)h(with)f(status)g(co)s(de)g
41857 Fq(K\(-IP,2\)=2)i Fw(rather)e(than)g(1;)h(th)m(us)g(a)472
41858 3400 y(jet)j(system)h(ma)m(y)e(b)s(e)h(built)e(up)i(b)m(y)g(\014lling)d
41859 (all)h(but)i(the)g(last)f(jet)g(of)g(the)h(system)h(with)472
41860 3508 y Fq(IP<0)p Fw(.)0 3617 y Fq(KF)52 b(:)267 b Fw(jet/particle)32
41861 b(\015a)m(v)m(our)h(co)s(de.)0 3725 y Fq(PE)52 b(:)267
41862 b Fw(jet/particle)30 b(energy)-8 b(.)45 b(If)38 b Fq(PE)32
41863 b Fw(is)f(smaller)e(than)j(the)g(mass,)f(the)h(jet/particle)e(is)h(tak)
41864 m(en)i(to)472 3833 y(b)s(e)g(at)f(rest.)0 3942 y Fq(THE,)52
41865 b(PHI)g(:)c Fw(p)s(olar)31 b(and)i(azim)m(uthal)d(angle)i(for)g(the)h
41866 (momen)m(tum)e(v)m(ector)j(of)e(the)h(jet/particle.)p
41867 0 4092 1594 9 v 0 4316 9 225 v 79 4232 a Fq(CALL)52 b
41868 (LU2ENT\(IP,KF1,KF2,PECM\))p 1585 4316 V 0 4324 1594
41869 9 v 0 4456 a Fo(Purp)s(ose:)c Fw(to)24 b(add)i(t)m(w)m(o)f(en)m(tries)h
41870 (to)f(the)g(ev)m(en)m(t)i(record,)h(i.e.)40 b(either)25
41871 b(a)g(2-jet)f(system)i(or)f(t)m(w)m(o)h(separate)472
41872 4565 y(particles.)0 4673 y Fq(IP)52 b(:)267 b Fw(normally)25
41873 b(line)h(n)m(um)m(b)s(er)i(for)f(the)h(\014rst)f(jet/particle,)g(with)g
41874 (second)i(in)d(line)g Fq(IP+1)p Fw(.)43 b(There)472 4781
41875 y(are)33 b(t)m(w)m(o)g(exceptions.)472 4890 y(If)40 b
41876 Fq(IP=0)p Fw(,)34 b(lines)d(1)i(and)f(2)h(are)f(used)i(and)f
41877 Fq(LUEXEC)h Fw(is)e(called.)472 4998 y(If)45 b Fq(IP<0)p
41878 Fw(,)39 b(lines)e Fq(-IP)h Fw(and)f Fq(-IP+1)i Fw(are)e(used,)j(with)d
41879 (status)h(co)s(de)g Fq(K\(I,1\)=3)p Fw(,)j(i.e.)57 b(with)472
41880 5106 y(sp)s(ecial)21 b(colour)g(connection)h(information,)f(so)h(that)f
41881 (a)h(parton)f(sho)m(w)m(er)j(can)e(b)s(e)g(generated)472
41882 5215 y(b)m(y)k(a)e Fq(LUSHOW)i Fw(call,)e(follo)m(w)m(ed)g(b)m(y)h(a)f
41883 Fq(LUEXEC)i Fw(call,)e(if)f(so)i(desired)g(\(only)f(relev)-5
41884 b(an)m(t)24 b(for)g(jets\).)0 5323 y Fq(KF1,)52 b(KF2)g(:)c
41885 Fw(\015a)m(v)m(our)33 b(co)s(des)h(for)e(the)h(t)m(w)m(o)g
41886 (jets/particles.)0 5431 y Fq(PECM)52 b(:)165 b Fw(\(=)28
41887 b Fj(E)686 5446 y Fl(cm)780 5431 y Fw(\))33 b(the)g(total)e(energy)j
41888 (of)e(the)h(system.)0 5540 y Fo(Remark:)53 b Fw(the)36
41889 b(system)g(is)e(giv)m(en)i(in)e(the)h(c.m.)51 b(frame,)35
41890 b(with)f(the)i(\014rst)f(jet/particle)f(going)f(out)i(in)472
41891 5648 y(the)e(+)p Fj(z)38 b Fw(direction.)1817 5953 y(254)p
41892 eop
41893 %%Page: 255 261
41894 255 260 bop 0 -110 2107 9 v 0 115 9 225 v 79 30 a Fq(CALL)52
41895 b(LU3ENT\(IP,KF1,KF2,KF3,P)q(ECM,)q(X1,X)q(3\))p 2098
41896 115 V 0 123 2107 9 v 0 255 a Fo(Purp)s(ose:)c Fw(to)41
41897 b(add)h(three)h(en)m(tries)f(to)f(the)i(ev)m(en)m(t)g(record,)i(i.e.)70
41898 b(either)42 b(a)f(3-jet)h(system)g(or)g(three)472 363
41899 y(separate)34 b(particles.)0 472 y Fq(IP)52 b(:)267 b
41900 Fw(normally)41 b(line)h(n)m(um)m(b)s(er)i(for)f(the)h(\014rst)f
41901 (jet/particle,)i(with)e(other)g(t)m(w)m(o)h(in)f Fq(IP+1)h
41902 Fw(and)472 580 y Fq(IP+2)p Fw(.)h(There)34 b(are)e(t)m(w)m(o)i
41903 (exceptions.)472 688 y(If)40 b Fq(IP=0)p Fw(,)34 b(lines)d(1,)i(2)f
41904 (and)h(3)f(are)h(used)g(and)g Fq(LUEXEC)h Fw(is)e(called.)472
41905 797 y(If)50 b Fq(IP<0)p Fw(,)c(lines)c Fq(-IP)i Fw(through)e
41906 Fq(-IP+2)i Fw(are)f(used,)k(with)42 b(status)h(co)s(de)g
41907 Fq(K\(I,1\)=3)p Fw(,)48 b(i.e.)472 905 y(with)42 b(sp)s(ecial)f(colour)
41908 g(connection)h(information,)f(so)h(that)g(a)g(parton)f(sho)m(w)m(er)j
41909 (can)e(b)s(e)472 1013 y(generated)49 b(b)m(y)f(a)f Fq(LUSHOW)i
41910 Fw(call,)h(follo)m(w)m(ed)c(b)m(y)j(a)e Fq(LUEXEC)i Fw(call,)g(if)d(so)
41911 i(desired)g(\(only)472 1122 y(relev)-5 b(an)m(t)33 b(for)f(jets\).)0
41912 1230 y Fq(KF1,)52 b(KF2,)h(KF3:)48 b Fw(\015a)m(v)m(our)33
41913 b(co)s(des)h(for)e(the)h(three)g(jets/particles.)0 1338
41914 y Fq(PECM)52 b(:)165 b Fw(\()p Fj(E)582 1353 y Fl(cm)677
41915 1338 y Fw(\))32 b(the)h(total)e(energy)j(of)e(the)h(system.)0
41916 1447 y Fq(X1,)52 b(X3)g(:)62 b Fj(x)527 1462 y Fh(i)607
41917 1447 y Fw(=)51 b(2)p Fj(E)855 1462 y Fh(i)884 1447 y
41918 Fj(=E)1005 1462 y Fl(cm)1099 1447 y Fw(,)f(i.e.)84 b(t)m(wice)47
41919 b(the)g(energy)g(fraction)f(tak)m(en)h(b)m(y)g(the)g
41920 Fj(i)p Fw('th)g(jet.)85 b(Th)m(us)472 1555 y Fj(x)527
41921 1570 y Fl(2)595 1555 y Fw(=)28 b(2)19 b Fn(\000)i Fj(x)920
41922 1570 y Fl(1)979 1555 y Fn(\000)g Fj(x)1132 1570 y Fl(3)1171
41923 1555 y Fw(,)32 b(and)g(need)g(not)g(b)s(e)f(giv)m(en.)44
41924 b(Note)31 b(that)g(not)h(all)d(com)m(binations)h(of)h
41925 Fj(x)3751 1570 y Fh(i)472 1663 y Fw(are)i(inside)f(the)h(ph)m(ysically)
41926 f(allo)m(w)m(ed)g(region.)0 1772 y Fo(Remark)37 b(:)47
41927 b Fw(the)30 b(system)h(is)e(giv)m(en)h(in)e(the)i(c.m.)42
41928 b(frame,)30 b(in)f(the)h Fj(xz)t Fw(-plane,)g(with)f(the)h(\014rst)g
41929 (jet)g(going)472 1880 y(out)j(in)f(the)h(+)p Fj(z)k Fw(direction)31
41930 b(and)i(the)g(third)f(one)h(ha)m(ving)f Fj(p)2636 1895
41931 y Fh(x)2708 1880 y Fj(>)27 b Fw(0.)p 0 2024 2876 9 v
41932 0 2249 9 225 v 79 2164 a Fq(CALL)52 b(LU4ENT\(IP,KF1,KF2,KF3,K)q(F4,P)q
41933 (ECM,)q(X1,)q(X2,X)q(4,X1)q(2,X1)q(4\))p 2867 2249 V
41934 0 2257 2876 9 v 0 2389 a Fo(Purp)s(ose:)c Fw(to)f(add)g(four)g(en)m
41935 (tries)i(to)e(the)g(ev)m(en)m(t)j(record,)i(i.e.)87 b(either)47
41936 b(a)h(4-jet)e(system)j(or)e(four)472 2497 y(separate)34
41937 b(particles)e(\(or,)g(for)g(q)p 1633 2445 52 4 v(q)q(q)1736
41938 2461 y Fk(0)p 1760 2445 V 1760 2497 a Fw(q)1811 2461
41939 y Fk(0)1867 2497 y Fw(ev)m(en)m(ts,)j(t)m(w)m(o)e(2-jet)f(systems\).)0
41940 2606 y Fq(IP)52 b(:)267 b Fw(normally)31 b(line)h(n)m(um)m(b)s(er)h
41941 (for)g(the)h(\014rst)f(jet/particle,)f(with)h(other)g(three)h(in)e
41942 (lines)g Fq(IP+1)p Fw(,)472 2714 y Fq(IP+2)i Fw(and)f
41943 Fq(IP+3)p Fw(.)44 b(There)34 b(are)f(t)m(w)m(o)g(exceptions.)472
41944 2822 y(If)40 b Fq(IP=0)p Fw(,)34 b(lines)d(1,)i(2,)f(3)g(and)h(4)f(are)
41945 h(used)h(and)e Fq(LUEXEC)i Fw(is)f(called.)472 2931 y(If)50
41946 b Fq(IP<0)p Fw(,)c(lines)c Fq(-IP)i Fw(through)e Fq(-IP+3)i
41947 Fw(are)f(used,)k(with)42 b(status)h(co)s(de)g Fq(K\(I,1\)=3)p
41948 Fw(,)48 b(i.e.)472 3039 y(with)42 b(sp)s(ecial)f(colour)g(connection)h
41949 (information,)f(so)h(that)g(a)g(parton)f(sho)m(w)m(er)j(can)e(b)s(e)472
41950 3147 y(generated)49 b(b)m(y)f(a)f Fq(LUSHOW)i Fw(call,)h(follo)m(w)m
41951 (ed)c(b)m(y)j(a)e Fq(LUEXEC)i Fw(call,)g(if)d(so)i(desired)g(\(only)472
41952 3256 y(relev)-5 b(an)m(t)33 b(for)f(jets\).)0 3364 y
41953 Fq(KF1,KF2,KF3,KF4)55 b(:)48 b Fw(\015a)m(v)m(our)33
41954 b(co)s(des)h(for)e(the)h(four)f(jets/particles.)0 3473
41955 y Fq(PECM)52 b(:)165 b Fw(\(=)28 b Fj(E)686 3488 y Fl(cm)780
41956 3473 y Fw(\))33 b(the)g(total)e(energy)j(of)e(the)h(system.)0
41957 3581 y Fq(X1,X2,X4)53 b(:)48 b Fj(x)615 3596 y Fh(i)687
41958 3581 y Fw(=)43 b(2)p Fj(E)927 3596 y Fh(i)955 3581 y
41959 Fj(=E)1076 3596 y Fl(cm)1170 3581 y Fw(,)h(i.e.)71 b(t)m(wice)42
41960 b(the)g(energy)h(fraction)d(tak)m(en)j(b)m(y)g(the)f
41961 Fj(i)p Fw('th)g(jet.)71 b(Th)m(us)472 3689 y Fj(x)527
41962 3704 y Fl(3)595 3689 y Fw(=)28 b(2)21 b Fn(\000)i Fj(x)924
41963 3704 y Fl(1)986 3689 y Fn(\000)g Fj(x)1141 3704 y Fl(2)1203
41964 3689 y Fn(\000)f Fj(x)1357 3704 y Fl(4)1397 3689 y Fw(,)33
41965 b(and)g(need)g(not)g(b)s(e)f(giv)m(en.)0 3798 y Fq(X12,X14)53
41966 b(:)48 b Fj(x)564 3813 y Fh(ij)661 3798 y Fw(=)37 b(2)p
41967 Fj(p)872 3813 y Fh(i)900 3798 y Fj(p)949 3813 y Fh(j)986
41968 3798 y Fj(=E)1113 3761 y Fl(2)1107 3822 y(cm)1201 3798
41969 y Fw(,)i(i.e.)59 b(t)m(wice)39 b(the)f(four-v)m(ector)h(pro)s(duct)f
41970 (of)f(the)i(momen)m(ta)e(for)g(jets)472 3906 y Fj(i)49
41971 b Fw(and)f Fj(j)6 b Fw(,)52 b(prop)s(erly)c(normalized.)89
41972 b(With)47 b(the)i(masses)g(kno)m(wn,)54 b(other)48 b
41973 Fj(x)3343 3921 y Fh(ij)3452 3906 y Fw(ma)m(y)g(b)s(e)472
41974 4014 y(constructed)41 b(from)c(the)i Fj(x)1470 4029 y
41975 Fh(i)1537 4014 y Fw(and)g Fj(x)1788 4029 y Fh(ij)1888
41976 4014 y Fw(giv)m(en.)62 b(Note)38 b(that)h(not)f(all)f(com)m(binations)g
41977 (of)h Fj(x)3751 4029 y Fh(i)472 4123 y Fw(and)33 b Fj(x)717
41978 4138 y Fh(ij)811 4123 y Fw(are)f(inside)g(the)h(ph)m(ysically)f(allo)m
41979 (w)m(ed)g(region.)0 4231 y Fo(Remark:)53 b Fw(the)38
41980 b(system)g(is)f(giv)m(en)g(in)f(the)i(c.m.)56 b(frame,)38
41981 b(with)e(the)i(\014rst)f(jet)h(going)d(out)i(in)f(the)i(+)p
41982 Fj(z)472 4339 y Fw(direction)i(and)g(the)h(fourth)f(jet)g(lying)f(in)h
41983 (the)g Fj(xz)t Fw(-plane)h(with)f Fj(p)2945 4354 y Fh(x)3030
41984 4339 y Fj(>)g Fw(0.)67 b(The)41 b(second)472 4448 y(jet)j(will)e(ha)m
41985 (v)m(e)j Fj(p)1108 4463 y Fh(y)1197 4448 y Fj(>)i Fw(0)c(and)h
41986 Fj(p)1662 4463 y Fh(y)1751 4448 y Fj(<)j Fw(0)c(with)h(equal)g
41987 (probabilit)m(y)-8 b(,)44 b(with)g(the)g(third)f(jet)472
41988 4556 y(balancing)21 b(this)i Fj(p)1131 4571 y Fh(y)1195
41989 4556 y Fw(\(this)f(corresp)s(onds)i(to)e(a)g(random)g(c)m(hoice)h(b)s
41990 (et)m(w)m(een)i(the)e(t)m(w)m(o)g(p)s(ossible)472 4664
41991 y(stereoisomers\).)p 0 4814 1389 9 v 0 5039 9 225 v 79
41992 4954 a Fq(CALL)52 b(LUJOIN\(NJOIN,IJOIN\))p 1380 5039
41993 V 0 5047 1389 9 v 0 5179 a Fo(Purp)s(ose:)c Fw(to)30
41994 b(connect)i(a)e(n)m(um)m(b)s(er)h(of)f(previously)h(de\014ned)h
41995 (partons)f(in)m(to)f(a)g(string)g(con\014guration.)472
41996 5287 y(Initially)k(the)i(partons)h(m)m(ust)f(b)s(e)h(giv)m(en)f(with)g
41997 (status)h(co)s(des)g Fq(K\(I,1\)=)h Fw(1,)f(2)f(or)g(3.)54
41998 b(Af-)472 5396 y(terw)m(ards)31 b(the)f(partons)g(all)e(ha)m(v)m(e)j
41999 (status)f(co)s(de)g(3,)g(i.e.)42 b(are)29 b(giv)m(en)h(with)f(full)f
42000 (colour-\015o)m(w)472 5504 y(information.)62 b(Compared)39
42001 b(to)g(the)h(normal)e(w)m(a)m(y)j(of)e(de\014ning)g(a)g(parton)h
42002 (system,)i(the)472 5612 y(partons)31 b(need)g(therefore)f(not)g(app)s
42003 (ear)g(in)f(the)i(same)f(sequence)i(in)e(the)g(ev)m(en)m(t)i(record)e
42004 (as)1817 5953 y(255)p eop
42005 %%Page: 256 262
42006 256 261 bop 472 -18 a Fw(they)35 b(are)e(assumed)h(to)g(do)f(along)f
42007 (the)i(string.)45 b(It)34 b(is)f(also)f(p)s(ossible)h(to)g(call)f
42008 Fq(LUSHOW)j Fw(for)472 90 y(all)c(or)h(some)h(of)f(the)h(en)m(tries)g
42009 (making)e(up)i(the)g(string)f(formed)g(b)m(y)j Fq(LUJOIN)p
42010 Fw(.)0 198 y Fq(NJOIN:)166 b Fw(the)33 b(n)m(um)m(b)s(er)g(of)g(en)m
42011 (tries)g(that)f(are)h(to)f(b)s(e)h(joined)f(b)m(y)h(one)g(string.)0
42012 307 y Fq(IJOIN:)166 b Fw(an)48 b(one-dimensional)d(arra)m(y)-8
42013 b(,)52 b(of)47 b(size)h(at)g(least)f Fq(NJOIN)p Fw(.)i(The)g
42014 Fq(NJOIN)g Fw(\014rst)g(n)m(um)m(b)s(ers)472 415 y(are)37
42015 b(the)h(p)s(ositions)d(of)h(the)i(partons)f(that)f(are)h(to)g(b)s(e)g
42016 (joined,)g(giv)m(en)g(in)f(the)h(order)g(the)472 523
42017 y(partons)29 b(are)f(assumed)g(to)g(app)s(ear)g(along)e(the)j(string.)
42018 41 b(If)28 b(the)g(system)h(consists)g(en)m(tirely)472
42019 632 y(of)k(gluons,)f(the)h(string)f(is)g(closed)g(b)m(y)i(connecting)f
42020 (bac)m(k)g(the)g(last)f(to)g(the)h(\014rst)g(en)m(try)-8
42021 b(.)0 740 y Fo(Remarks:)47 b Fw(only)30 b(one)i(string)e(\(i.e.)42
42022 b(one)31 b(colour)f(singlet\))g(ma)m(y)g(b)s(e)h(de\014ned)i(p)s(er)e
42023 (call,)e(but)i(one)g(is)g(at)472 848 y(lib)s(ert)m(y)f(to)g(use)h(an)m
42024 (y)g(n)m(um)m(b)s(er)g(of)37 b Fq(LUJOIN)32 b Fw(calls)d(for)g(a)h(giv)
42025 m(en)h(ev)m(en)m(t.)45 b(The)31 b(program)e(will)472
42026 957 y(c)m(hec)m(k)41 b(that)e(the)g(parton)g(con\014guration)f(sp)s
42027 (eci\014ed)h(mak)m(es)h(sense,)i(and)d(not)f(tak)m(e)i(an)m(y)472
42028 1065 y(action)35 b(unless)i(it)e(do)s(es.)54 b(Note,)37
42029 b(ho)m(w)m(ev)m(er,)i(that)d(an)f(initially)d(sensible)k(parton)g
42030 (con\014g-)472 1173 y(uration)31 b(ma)m(y)h(b)s(ecome)g(nonsensical,)g
42031 (if)f(only)g(some)h(of)g(the)g(partons)g(are)g(reconnected,)472
42032 1282 y(while)g(the)h(others)g(are)g(left)f(unc)m(hanged.)p
42033 0 1426 1030 9 v 0 1645 9 220 v 79 1566 a Fq(CALL)52 b(LUGIVE\(CHIN\))p
42034 1022 1645 V 0 1653 1030 9 v 0 1785 a Fo(Purp)s(ose:)c
42035 Fw(to)53 b(set)i(the)f(v)-5 b(alue)54 b(of)f(an)m(y)i(v)-5
42036 b(ariable)52 b(residing)h(in)g(the)h(commmon)m(blo)s(c)m(ks)f
42037 Fq(LUJETS)p Fw(,)472 1893 y Fq(LUDAT1)p Fw(,)39 b Fq(LUDAT2)p
42038 Fw(,)g Fq(LUDAT3)p Fw(,)g Fq(LUDAT4)p Fw(,)g Fq(LUDATR)p
42039 Fw(,)f Fq(PYSUBS)p Fw(,)g Fq(PYPARS)p Fw(,)g Fq(PYINT1)p
42040 Fw(,)h Fq(PYINT2)p Fw(,)472 2002 y Fq(PYINT3)p Fw(,)29
42041 b Fq(PYINT4)p Fw(,)g Fq(PYINT5)p Fw(,)g Fq(PYINT6)p Fw(,)f(or)e
42042 Fq(PYINT7)p Fw(.)43 b(This)26 b(is)f(done)h(in)f(a)g(more)h(con)m
42043 (trolled)472 2110 y(fashion)32 b(than)f(b)m(y)i(directly)e(including)f
42044 (the)j(common)d(blo)s(c)m(ks)i(in)f(the)i(user)g(program,)d(in)472
42045 2219 y(that)43 b(arra)m(y)g(b)s(ounds)g(are)f(c)m(hec)m(k)m(ed)k(and)d
42046 (the)g(old)e(and)i(new)h(v)-5 b(alues)42 b(for)g(the)h(v)-5
42047 b(ariable)472 2327 y(c)m(hanged)34 b(are)f(written)f(to)g(the)h(output)
42048 g(for)f(reference.)0 2435 y Fq(CHIN)52 b(:)165 b Fw(c)m(haracter)37
42049 b(expression)g(of)e(length)g(at)g(most)g(100)g(c)m(haracters,)i(with)e
42050 (requests)j(for)d(v)-5 b(ari-)472 2544 y(ables)33 b(to)f(b)s(e)h(c)m
42051 (hanged,)h(stored)f(in)f(the)h(form)472 2652 y Fq
42052 (variable1=value1;variab)q(le2=)q(valu)q(e2;v)q(ari)q(able)q(3=va)q
42053 (lue3)q Fw(.)16 b(.)g(.)55 b(.)472 2760 y(Note)47 b(that)f(an)g
42054 (arbitrary)f(n)m(um)m(b)s(er)i(of)f(instructions)g(can)h(b)s(e)f
42055 (stored)h(in)e(one)i(call)e(if)472 2869 y(separated)j(b)m(y)g
42056 (semicolons,)h(and)d(that)h(blanks)g(ma)m(y)f(b)s(e)h(included)f(an)m
42057 (yplace.)87 b(The)472 2977 y(v)-5 b(ariable)807 2992
42058 y Fh(i)868 2977 y Fw(ma)m(y)35 b(b)s(e)g(an)m(y)g(single)e(v)-5
42059 b(ariable)33 b(in)h(the)h Fm(Jetset/Pythia)f Fw(common)f(blo)s(c)m(ks,)
42060 472 3085 y(and)f(the)g(v)-5 b(alue)1048 3100 y Fh(i)1107
42061 3085 y Fw(m)m(ust)32 b(b)s(e)f(of)g(the)h(correct)g(in)m(teger,)g(real)
42062 f(or)g(c)m(haracter)h(\(without)f(extra)472 3194 y(quotes\))41
42063 b(t)m(yp)s(e.)64 b(Arra)m(y)39 b(indices)g(and)g(v)-5
42064 b(alues)39 b(m)m(ust)g(b)s(e)h(giv)m(en)f(explicitly)-8
42065 b(,)39 b(i.e.)62 b(cannot)472 3302 y(b)s(e)39 b(v)-5
42066 b(ariables)37 b(in)g(their)h(o)m(wn)g(righ)m(t.)60 b(The)39
42067 b(exception)g(is)e(that)h(the)h(\014rst)f(index)h(can)f(b)s(e)472
42068 3410 y(preceded)i(b)m(y)e(a)g Fq(C)p Fw(,)f(signifying)f(that)h(the)h
42069 (index)g(should)f(b)s(e)h(translated)f(from)f(normal)472
42070 3519 y(KF)h(to)g(compressed)h(K)m(C)g(co)s(de)f(with)g(a)f
42071 Fq(LUCOMP)j Fw(call;)f(this)e(is)h(allo)m(w)m(ed)f(for)h(the)g
42072 Fq(KCHG)p Fw(,)472 3627 y Fq(PMAS)p Fw(,)e Fq(MDCY)f
42073 Fw(and)g Fq(CHAF)g Fw(arra)m(ys.)47 b(If)33 b(a)h(v)-5
42074 b(alue)2140 3642 y Fh(i)2201 3627 y Fw(is)33 b(omitted,)f(i.e.)45
42075 b(with)33 b(the)h(construction)472 3735 y Fq(variable=)p
42076 Fw(,)39 b(the)d(curren)m(t)h(v)-5 b(alue)35 b(is)g(written)g(to)h(the)g
42077 (output,)g(but)g(the)g(v)-5 b(ariable)34 b(itself)472
42078 3844 y(is)f(not)f(c)m(hanged.)0 3952 y Fo(Remark)37 b(:)47
42079 b Fw(The)d(c)m(hec)m(ks)h(on)e(arra)m(y)g(b)s(ounds)g(are)g(hardwired)g
42080 (in)m(to)f(this)g(routine.)73 b(Therefore,)47 b(if)472
42081 4060 y(some)36 b(user)h(c)m(hanges)g(arra)m(y)f(dimensions)f(and)h
42082 Fq(MSTU\(3\))p Fw(,)i Fq(MSTU\(6\))g Fw(and/or)e Fq(MSTU\(7\))p
42083 Fw(,)472 4169 y(as)27 b(allo)m(w)m(ed)e(b)m(y)i(other)f
42084 (considerations,)i(these)f(c)m(hanges)g(will)d(not)i(b)s(e)h(kno)m(wn)g
42085 (to)f Fq(LUGIVE)p Fw(.)472 4277 y(Normally)31 b(this)h(should)g(not)h
42086 (b)s(e)f(a)h(problem,)e(ho)m(w)m(ev)m(er.)0 4551 y Fp(14.2)136
42087 b(The)44 b(JETSET)h(Ph)l(ysics)g(Routines)0 4724 y Fw(The)f(ph)m(ysics)
42088 g(routines)e(form)g(the)h(ma)5 b(jor)42 b(part)g(of)49
42089 b Fm(Jetset)p Fw(,)c(but)e(once)g(the)g(initial)c(jet/particle)0
42090 4832 y(con\014guration)29 b(has)h(b)s(een)g(sp)s(eci\014ed)g(and)g
42091 (default)f(parameter)g(v)-5 b(alues)29 b(c)m(hanged,)i(if)e(so)g
42092 (desired,)i(only)0 4940 y(a)24 b Fq(LUEXEC)j Fw(call)c(is)h(necessary)j
42093 (to)e(sim)m(ulate)e(the)i(whole)g(fragmen)m(tation)e(and)h(deca)m(y)j
42094 (c)m(hain.)40 b(Therefore)0 5049 y(a)29 b(normal)e(user)j(will)d(not)h
42095 (directly)h(see)h(an)m(y)g(of)e(the)i(other)f(routines)g(in)f(this)h
42096 (section.)43 b(Some)28 b(of)h(them)0 5157 y(could)j(b)s(e)h(called)e
42097 (directly)-8 b(,)32 b(but)h(the)g(danger)g(of)f(fault)m(y)g(usage)h(is)
42098 f(then)h(non-negligible.)146 5265 y(The)25 b Fq(LUTAUD)g
42099 Fw(routine)f(pro)m(vides)g(an)g(optional)d(in)m(terface)j(to)f(an)h
42100 (external)g Fj(\034)35 b Fw(deca)m(y)25 b(library)-8
42101 b(,)24 b(where)0 5374 y(p)s(olarization)30 b(e\013ects)k(could)f(b)s(e)
42102 h(included.)45 b(It)33 b(is)g(up)g(to)g(the)h(user)g(to)f(write)g(the)g
42103 (appropriate)g(calls,)0 5482 y(as)g(explained)f(at)g(the)h(end)h(of)e
42104 (this)g(section.)1817 5953 y(256)p eop
42105 %%Page: 257 263
42106 257 262 bop 0 -110 723 9 v 0 93 9 203 v 79 22 a Fq(CALL)52
42107 b(LUEXEC)p 714 93 V 0 101 723 9 v 0 233 a Fo(Purp)s(ose:)c
42108 Fw(to)25 b(administrate)f(the)j(fragmen)m(tation)d(and)i(deca)m(y)h(c)m
42109 (hain.)41 b Fq(LUEXEC)28 b Fw(ma)m(y)e(b)s(e)g(called)f(sev-)472
42110 341 y(eral)36 b(times,)h(but)g(only)g(en)m(tries)g(whic)m(h)g(ha)m(v)m
42111 (e)h(not)f(y)m(et)h(b)s(een)f(treated)g(\(more)f(precisely)-8
42112 b(,)472 449 y(whic)m(h)34 b(ha)m(v)m(e)g(1)29 b Fn(\024)p
42113 Fq(K\(I,1\))p Fn(\024)i Fw(10\))h(can)i(b)s(e)f(a\013ected)h(b)m(y)g
42114 (further)f(calls.)44 b(This)33 b(ma)m(y)g(apply)472 558
42115 y(if)38 b(more)f(jets/particles)h(ha)m(v)m(e)i(b)s(een)f(added)g(b)m(y)
42116 h(the)f(user,)h(or)f(if)e(particles)g(previously)472
42117 666 y(considered)27 b(stable)e(are)g(no)m(w)h(allo)m(w)m(ed)e(to)h
42118 (deca)m(y)-8 b(.)43 b(The)26 b(actions)f(that)g(will)e(b)s(e)i(tak)m
42119 (en)i(dur-)472 774 y(ing)k(a)h Fq(LUEXEC)i Fw(call)c(can)i(b)s(e)g
42120 (tailored)f(extensiv)m(ely)i(via)e(the)i Fq(LUDAT1)p
42121 Fw({)p Fq(LUDAT3)i Fw(common)472 883 y(blo)s(c)m(ks,)e(in)f(particular)
42122 f(b)m(y)j(setting)e(the)h Fq(MSTJ)g Fw(v)-5 b(alues)33
42123 b(suitably)-8 b(.)0 1070 y Fq(SUBROUTINE)54 b(LUPREP\(IP\))g(:)47
42124 b Fw(to)62 b(rearrange)f(parton)g(sho)m(w)m(er)j(end)e(pro)s(ducts)g
42125 (\(mark)m(ed)g(with)472 1179 y Fq(K\(I,1\)=3)p Fw(\))38
42126 b(sequen)m(tially)d(along)f(strings;)i(also)f(to)g(\(optionally\))d
42127 (allo)m(w)i(small)f(jet)j(sys-)472 1287 y(tems)f(to)g(collapse)f(in)m
42128 (to)g(t)m(w)m(o)h(particles)f(or)g(one)h(only)-8 b(,)35
42129 b(in)f(the)i(latter)d(case)j(with)e(energy)472 1395 y(and)j(momen)m
42130 (tum)d(to)i(b)s(e)h(sh)m(u\017ed)h(elsewhere)g(in)d(the)i(ev)m(en)m(t;)
42131 j(also)35 b(to)h(p)s(erform)f(c)m(hec)m(ks)472 1504 y(that)e(e.g.)43
42132 b(\015a)m(v)m(ours)34 b(of)f(colour-singlet)d(systems)k(mak)m(e)e
42133 (sense.)0 1612 y Fq(SUBROUTINE)54 b(LUSTRF\(IP\))g(:)47
42134 b Fw(to)35 b(generate)g(the)h(fragmen)m(tation)d(of)h(an)h(arbitrary)f
42135 (colour-singlet)472 1720 y(jet)43 b(system)g(according)e(to)h(the)g
42136 (Lund)h(string)e(fragmen)m(tation)f(mo)s(del.)70 b(In)43
42137 b(man)m(y)f(re-)472 1829 y(sp)s(ects,)35 b(this)d(routine)g(is)g(the)h
42138 (v)m(ery)h(heart)f(and)f(soul)g(of)39 b Fm(Jetset)p Fw(.)0
42139 1937 y Fq(SUBROUTINE)54 b(LUINDF\(IP\))g(:)47 b Fw(to)h(handle)g(the)g
42140 (fragmen)m(tation)e(of)h(a)h(jet)g(system)h(according)e(to)472
42141 2045 y(indep)s(enden)m(t)h(fragmen)m(tation)c(mo)s(dels,)k(and)e
42142 (implemen)m(t)e(energy)-8 b(,)51 b(momen)m(tum)44 b(and)472
42143 2154 y(\015a)m(v)m(our)36 b(conserv)-5 b(ation,)34 b(if)g(so)g
42144 (desired.)50 b(Also)33 b(the)i(fragmen)m(tation)d(of)i(a)g(single)g
42145 (jet,)h(not)472 2262 y(b)s(elonging)21 b(to)h(a)g(jet)h(system,)j(is)c
42146 (considered)h(here)g(\(this)f(is)g(of)g(course)i(ph)m(ysical)e
42147 (nonsense,)472 2370 y(but)33 b(ma)m(y)g(sometimes)e(b)s(e)i(con)m(v)m
42148 (enien)m(t)h(for)e(sp)s(eci\014c)i(tasks\).)0 2479 y
42149 Fq(SUBROUTINE)54 b(LUDECY\(IP\))g(:)47 b Fw(to)39 b(p)s(erform)f(a)h
42150 (particle)f(deca)m(y)-8 b(,)42 b(according)d(to)g(kno)m(wn)i(branc)m
42151 (hing)472 2587 y(ratios)32 b(or)h(di\013eren)m(t)f(kinds)i(of)e(mo)s
42152 (dels,)g(dep)s(ending)h(on)f(our)h(lev)m(el)f(of)g(kno)m(wledge.)45
42153 b(V)-8 b(ar-)472 2695 y(ious)33 b(matrix)e(elemen)m(ts)h(are)h
42154 (included)f(for)g(sp)s(eci\014c)h(pro)s(cesses.)0 2804
42155 y Fq(SUBROUTINE)54 b(LUKFDI\(KFL1,KFL2,KFL3,KF\))k(:)47
42156 b Fw(to)25 b(generate)h(a)g(new)g(quark)g(or)f(diquark)h(\015a)m(v)m
42157 (our)472 2912 y(and)33 b(to)f(com)m(bine)g(it)g(with)g(an)h(existing)f
42158 (\015a)m(v)m(our)h(to)f(giv)m(e)h(a)f(hadron.)236 3020
42159 y Fq(KFL1:)218 b Fw(incoming)30 b(\015a)m(v)m(our.)236
42160 3129 y Fq(KFL2:)218 b Fw(extra)44 b(incoming)e(\015a)m(v)m(our,)47
42161 b(e.g.)78 b(for)43 b(formation)f(of)h(\014nal)g(particle,)j(where)f
42162 (the)709 3237 y(\015a)m(v)m(ours)34 b(are)e(completely)g(sp)s
42163 (eci\014ed.)44 b(Is)33 b(normally)d(0.)236 3345 y Fq(KFL3:)218
42164 b Fw(newly)33 b(created)g(\015a)m(v)m(our;)h(is)e(0)g(if)38
42165 b Fq(KFL2)c Fw(is)e(non-zero.)236 3454 y Fq(KF:)320 b
42166 Fw(pro)s(duced)36 b(hadron.)52 b(Is)36 b(0)f(if)f(something)h(w)m(en)m
42167 (t)h(wrong)g(\(e.g.)52 b(inconsisten)m(t)36 b(com-)709
42168 3562 y(bination)30 b(of)j(incoming)d(\015a)m(v)m(ours\).)0
42169 3670 y Fq(SUBROUTINE)54 b(LUPTDI\(KFL,PX,PY\))i(:)47
42170 b Fw(to)g(giv)m(e)g(transv)m(erse)j(momen)m(tum,)f(e.g.)88
42171 b(for)46 b(a)h(q)p 3512 3618 52 4 v(q)i(pair)472 3779
42172 y(created)31 b(in)e(the)h(colour)f(\014eld,)h(according)f(to)g(indep)s
42173 (enden)m(t)i(Gaussian)e(distributions)f(in)472 3887 y
42174 Fj(p)521 3902 y Fh(x)598 3887 y Fw(and)k Fj(p)836 3902
42175 y Fh(y)878 3887 y Fw(.)0 3996 y Fq(SUBROUTINE)54 b
42176 (LUZDIS\(KFL1,KFL3,PR,Z\))j(:)48 b Fw(to)29 b(generate)h(the)g
42177 (longitudinal)c(scaling)j(v)-5 b(ariable)28 b Fj(z)472
42178 4104 y Fw(in)39 b(jet)h(fragmen)m(tation,)f(either)h(according)f(to)g
42179 (the)h(Lund)g(symmetric)e(fragmen)m(tation)472 4212 y(function,)33
42180 b(or)f(according)g(to)g(a)g(c)m(hoice)h(of)f(other)h(shap)s(es.)0
42181 4321 y Fq(SUBROUTINE)54 b(LUBOEI)f(:)47 b Fw(to)31 b(include)f
42182 (Bose{Einstein)g(e\013ects)i(according)e(to)g(a)h(simple)e(parametri-)
42183 472 4429 y(zation.)65 b(By)41 b(default,)g(this)f(routine)g(is)f(not)h
42184 (called.)65 b(If)40 b(called)f(from)g Fq(LUEXEC)p Fw(,)i(this)f(is)472
42185 4537 y(done)f(after)f(the)g(deca)m(y)i(of)d(short-liv)m(ed)h
42186 (resonances,)j(but)d(b)s(efore)h(the)f(deca)m(y)i(of)d(long-)472
42187 4646 y(liv)m(ed)30 b(ones.)44 b(This)30 b(means)g(the)h(routine)f
42188 (should)g(nev)m(er)i(b)s(e)e(called)f(directly)h(b)m(y)h(y)m(ou,)h(nor)
42189 472 4754 y(w)m(ould)j(e\013ects)h(b)s(e)f(correctly)g(sim)m(ulated)e
42190 (if)h(deca)m(ys)j(are)d(switc)m(hed)i(o\013.)50 b(See)35
42191 b Fq(MSTJ\(51\))472 4862 y(-)52 b(MSTJ\(52\))35 b Fw(for)d(switc)m
42192 (hing)g(on)h(the)g(routine.)0 4971 y Fq(FUNCTION)53 b(ULMASS\(KF\))h(:)
42193 48 b Fw(to)32 b(giv)m(e)h(the)g(mass)f(for)g(a)g(parton/particle.)0
42194 5079 y Fq(SUBROUTINE)54 b(LUNAME\(KF,CHAU\))h(:)48 b
42195 Fw(to)38 b(giv)m(e)g(the)h(parton/particle)d(name)i(\(as)h(a)f(string)g
42196 (of)g(t)m(yp)s(e)472 5187 y Fq(CHARACTER)54 b(CHAU*16)p
42197 Fw(\).)0 5296 y Fq(FUNCTION)f(LUCHGE\(KF\))h(:)48 b Fw(to)32
42198 b(giv)m(e)h(three)g(times)f(the)h(c)m(harge)g(for)f(a)g
42199 (parton/particle.)0 5404 y Fq(FUNCTION)53 b(LUCOMP\(KF\))h(:)48
42200 b Fw(to)26 b(giv)m(e)h(the)h(compressed)g(parton/particle)d(co)s(de)i
42201 (K)m(C)h(for)e(a)h(giv)m(en)g(KF)472 5512 y(co)s(de,)38
42202 b(as)e(required)h(to)f(\014nd)h(en)m(try)g(in)m(to)e(mass)h(and)h(deca)
42203 m(y)g(data)f(tables.)54 b(Also)36 b(c)m(hec)m(ks)472
42204 5621 y(whether)48 b(the)e(giv)m(en)g(KF)f(co)s(de)h(is)f(actually)f(an)
42205 i(allo)m(w)m(ed)f(one)h(\(i.e.)82 b(kno)m(wn)47 b(b)m(y)g(the)1817
42206 5953 y(257)p eop
42207 %%Page: 258 264
42208 258 263 bop 472 -18 a Fw(program\),)42 b(and)e(returns)i(0)e(if)f(not.)
42209 67 b(Note)41 b(that)f(KF)g(ma)m(y)g(b)s(e)h(p)s(ositiv)m(e)f(or)g
42210 (negativ)m(e,)472 90 y(while)32 b(the)h(resulting)f(K)m(C)h(co)s(de)g
42211 (is)f(nev)m(er)i(negativ)m(e.)0 198 y Fq(SUBROUTINE)54
42212 b(LUERRM\(MERR,MESSAG\))i(:)48 b Fw(to)22 b(k)m(eep)j(trac)m(k)e(of)f
42213 (the)i(n)m(um)m(b)s(er)f(of)f(errors)h(and)g(w)m(arnings)472
42214 307 y(encoun)m(tered,)33 b(write)c(out)g(information)d(on)j(them,)h
42215 (and)g(ab)s(ort)e(the)i(program)e(in)h(case)h(of)472
42216 415 y(to)s(o)i(man)m(y)h(errors.)0 523 y Fq(FUNCTION)53
42217 b(ULANGL\(X,Y\))i(:)47 b Fw(to)32 b(calculate)g(the)h(angle)e(from)h
42218 (the)h Fj(x)g Fw(and)f Fj(y)k Fw(co)s(ordinates.)0 632
42219 y Fq(SUBROUTINE)54 b(LULOGO)f(:)47 b Fw(to)27 b(write)f(a)h(titlepage)e
42220 (for)i(the)g Fm(Jetset/Pythia)f Fw(programs.)41 b(Called)26
42221 b(b)m(y)472 740 y(LULIST\(0\).)0 848 y Fq(BLOCK)53 b(DATA)f(LUDATA)h(:)
42222 47 b Fw(to)24 b(giv)m(e)g(default)f(v)-5 b(alues)23 b(for)h(v)-5
42223 b(ariables)22 b(in)h(the)h Fq(LUDAT1)p Fw(,)k Fq(LUDAT2)p
42224 Fw(,)f Fq(LUDAT3)p Fw(,)472 957 y Fq(LUDAT4)35 b Fw(and)d
42225 Fq(LUDATR)i Fw(common)e(blo)s(c)m(ks.)p 0 1106 2056 9
42226 v 0 1331 9 225 v 79 1247 a Fq(CALL)52 b(LUTAUD\(ITAU,IORIG,KFORI)q
42227 (G,ND)q(ECAY)q(\))p 2047 1331 V 0 1339 2056 9 v 0 1471
42228 a Fo(Purp)s(ose:)c Fw(to)31 b(act)h(as)g(an)g(in)m(terface)g(b)s(et)m
42229 (w)m(een)i(the)e(standard)g(deca)m(y)i(routine)d Fq(LUDECY)i
42230 Fw(and)f(a)g(user-)472 1580 y(supplied)i Fj(\034)45 b
42231 Fw(lepton)34 b(deca)m(y)h(library)-8 b(.)46 b(The)35
42232 b(latter)e(library)f(w)m(ould)i(normally)e(kno)m(w)j(ho)m(w)472
42233 1688 y(to)i(handle)g(p)s(olarized)f Fj(\034)11 b Fw('s,)39
42234 b(giv)m(en)e(the)h Fj(\034)48 b Fw(p)s(olarization)34
42235 b(as)j(input,)h(so)f(one)h(task)f(of)g(the)472 1796 y(in)m(terface)e
42236 (routine)f(is)g(to)g(construct)i(the)f Fj(\034)46 b Fw(p)s
42237 (olarization/helicit)m(y)30 b(from)j(the)i(informa-)472
42238 1905 y(tion)45 b(a)m(v)-5 b(ailable.)79 b(Input)47 b(to)e(the)h
42239 (routine)e(\(from)h Fq(LUDECY)p Fw(\))i(is)d(pro)m(vided)i(in)f(the)h
42240 (\014rst)472 2013 y(three)36 b(argumen)m(ts,)g(while)f(the)g(last)g
42241 (argumen)m(t)g(and)g(some)g(ev)m(en)m(t)i(record)f(information)472
42242 2121 y(ha)m(v)m(e)41 b(to)d(b)s(e)h(set)h(b)s(efore)f(return.)63
42243 b(T)-8 b(o)39 b(use)g(this)g(facilit)m(y)e(y)m(ou)i(ha)m(v)m(e)h(to)f
42244 (set)g(the)h(switc)m(h)472 2230 y Fq(MSTJ\(28\))p Fw(,)45
42245 b(include)39 b(y)m(our)i(o)m(wn)g(in)m(terface)f(routine)g
42246 Fq(LUTAUD)h Fw(and)g(see)g(to)f(it)f(that)h(the)472 2338
42247 y(dumm)m(y)33 b(routine)f Fq(LUTAUD)i Fw(in)e Fm(Jetset)g
42248 Fw(is)g(not)g(link)m(ed.)44 b(The)33 b(dumm)m(y)g(routine)f(is)g(there)
42249 472 2446 y(only)d(to)g(a)m(v)m(oid)g(unresolv)m(ed)h(external)g
42250 (references)h(when)f(no)f(user-supplied)h(in)m(terface)f(is)472
42251 2555 y(link)m(ed.)0 2663 y Fq(ITAU)52 b(:)165 b Fw(line)38
42252 b(n)m(um)m(b)s(er)g(in)g(the)h(ev)m(en)m(t)h(record)f(where)h(the)f
42253 Fj(\034)50 b Fw(is)38 b(stored.)61 b(The)40 b(four-momen)m(tum)472
42254 2771 y(of)32 b(this)f Fj(\034)43 b Fw(has)33 b(\014rst)f(b)s(een)g(b)s
42255 (o)s(osted)g(bac)m(k)h(to)f(the)g(rest)g(frame)f(of)h(the)g(deca)m
42256 (ying)g(mother)472 2880 y(and)43 b(thereafter)g(rotated)f(to)h(mo)m(v)m
42257 (e)f(out)h(along)e(the)i(+)p Fj(z)k Fw(axis.)73 b(It)42
42258 b(w)m(ould)h(ha)m(v)m(e)h(b)s(een)472 2988 y(p)s(ossible)f(to)g(also)g
42259 (p)s(erform)f(a)i(\014nal)e(b)s(o)s(ost)h(to)h(the)f(rest)i(frame)d(of)
42260 h(the)h Fj(\034)55 b Fw(itself,)45 b(but)472 3096 y(this)e(has)g(b)s
42261 (een)h(a)m(v)m(oided)f(so)g(as)g(not)g(to)g(suppress)i(the)e
42262 (kinematics)f(asp)s(ect)i(of)e(close-)472 3205 y(to-threshold)e(pro)s
42263 (duction)g(\(e.g.)68 b(in)40 b(B)g(deca)m(ys\))j(vs.)68
42264 b(high-energy)40 b(pro)s(duction)g(\(e.g.)472 3313 y(in)k(real)g(W)i
42265 (deca)m(ys\).)81 b(The)46 b(c)m(hoice)f(of)f(frame)g(should)g(help)h
42266 (the)g(calculation)d(of)i(the)472 3421 y(helicit)m(y)31
42267 b(con\014guration.)42 b(After)32 b(the)g Fq(LUTAUD)h
42268 Fw(call)d(the)i Fj(\034)43 b Fw(and)31 b(its)h(deca)m(y)g(pro)s(ducts)h
42269 (will)472 3530 y(automatically)40 b(b)s(e)j(rotated)g(and)g(b)s(o)s
42270 (osted)g(bac)m(k.)76 b(Ho)m(w)m(ev)m(er,)48 b(seemingly)-8
42271 b(,)44 b(the)g(ev)m(en)m(t)472 3638 y(record)34 b(do)s(es)f(not)f
42272 (conserv)m(e)j(momen)m(tum)c(at)h(this)g(in)m(termediate)g(stage.)0
42273 3746 y Fq(IORIG)53 b(:)113 b Fw(line)30 b(n)m(um)m(b)s(er)i(where)h
42274 (the)e(mother)g(particle)f(to)h(the)h Fj(\034)43 b Fw(is)31
42275 b(stored.)43 b(Is)32 b(0)f(if)f(the)i(mother)f(is)472
42276 3855 y(not)g(stored.)43 b(This)31 b(do)s(es)g(not)f(ha)m(v)m(e)i(to)e
42277 (mean)g(the)h(mother)f(is)g(unkno)m(wn.)44 b(F)-8 b(or)30
42278 b(instance,)472 3963 y(in)44 b(semileptonic)f(B)i(deca)m(ys)h(the)g
42279 (mother)e(is)g(a)g(W)2437 3927 y Fk(\006)2541 3963 y
42280 Fw(with)h(kno)m(wn)h(four-momen)m(tum)472 4071 y Fj(p)521
42281 4086 y Fl(W)627 4071 y Fw(=)27 b Fj(p)779 4086 y Fh(\034)836
42282 4071 y Fw(+)14 b Fj(p)975 4086 y Fh(\027)1010 4094 y
42283 Fe(\034)1053 4071 y Fw(,)29 b(but)g(there)g(is)g(no)f(W)i(line)e(in)f
42284 (the)i(ev)m(en)m(t)i(record.)42 b(When)30 b(sev)m(eral)f(copies)472
42285 4180 y(of)40 b(the)h(mother)f(is)g(stored)h(\(e.g.)66
42286 b(one)41 b(in)f(the)g(do)s(cumen)m(tation)g(section)g(of)g(the)h(ev)m
42287 (en)m(t)472 4288 y(record)33 b(and)f(one)h(in)e(the)i(main)d
42288 (section\),)j Fq(IORIG)g Fw(p)s(oin)m(ts)f(to)g(the)g(last.)43
42289 b(If)32 b(a)g(branc)m(hings)472 4396 y(lik)m(e)f Fj(\034)39
42290 b Fn(!)28 b Fj(\034)11 b(\015)36 b Fw(o)s(ccurs,)d(the)f(`grandmother')
42291 f(is)g(giv)m(en,)h(i.e.)42 b(the)32 b(mother)f(of)g(the)h(direct)f
42292 Fj(\034)472 4505 y Fw(b)s(efore)i(branc)m(hing.)0 4613
42293 y Fq(KFORIG)53 b(:)62 b Fw(\015a)m(v)m(our)24 b(co)s(de)g(for)e(the)h
42294 (mother)g(particle.)39 b(Is)23 b(0)g(if)f(the)h(mother)g(is)f(unkno)m
42295 (wn.)42 b(The)24 b(mother)472 4721 y(w)m(ould)32 b(t)m(ypically)e(b)s
42296 (e)h(a)g(resonance)i(suc)m(h)g(as)e Fj(\015)2201 4685
42297 y Fk(\003)2241 4721 y Fj(=)p Fw(Z)2350 4685 y Fl(0)2420
42298 4721 y Fw(\(23\),)g(W)2753 4685 y Fk(\006)2844 4721 y
42299 Fw(\()p Fn(\006)p Fw(24\),)g(H)3226 4685 y Fl(0)3297
42300 4721 y Fw(\(25\),)g(or)g(H)3720 4685 y Fk(\006)472 4830
42301 y Fw(\()p Fn(\006)p Fw(37\).)49 b(Often)34 b(the)h(helicit)m(y)e(c)m
42302 (hoice)i(w)m(ould)f(b)s(e)h(clear)e(just)i(b)m(y)g(the)g(kno)m(wledge)g
42303 (of)f(this)472 4938 y(mother)j(sp)s(ecies,)h(e.g.,)h(W)1481
42304 4902 y Fk(\006)1577 4938 y Fw(vs.)57 b(H)1823 4902 y
42305 Fk(\006)1882 4938 y Fw(.)f(Ho)m(w)m(ev)m(er,)40 b(sometimes)c(further)h
42306 (complications)472 5046 y(ma)m(y)c(exist.)45 b(F)-8 b(or)33
42307 b(instance,)g(the)h(KF)e(co)s(de)h(23)g(represen)m(ts)i(a)e(mixture)f
42308 (of)h Fj(\015)3309 5010 y Fk(\003)3381 5046 y Fw(and)g(Z)3631
42309 5010 y Fl(0)3670 5046 y Fw(;)h(a)472 5155 y(kno)m(wledge)25
42310 b(of)e(the)i(mother)e(mass)g(\(in)g Fq(P\(IORIG,5\))p
42311 Fw(\))k(w)m(ould)c(here)i(b)s(e)f(required)g(to)f(mak)m(e)472
42312 5263 y(the)39 b(c)m(hoice)f(of)g(helicities.)58 b(F)-8
42313 b(urther,)40 b(a)d(W)2089 5227 y Fk(\006)2187 5263 y
42314 Fw(or)h(Z)2372 5227 y Fl(0)2449 5263 y Fw(ma)m(y)g(either)g(b)s(e)g
42315 (\(predominan)m(tly\))472 5372 y(transv)m(erse)d(or)d(longitudinal,)d
42316 (dep)s(ending)k(on)g(the)g(pro)s(duction)f(pro)s(cess)h(under)h(study)
42317 -8 b(.)0 5480 y Fq(NDECAY)53 b(:)62 b Fw(the)30 b(n)m(um)m(b)s(er)f(of)
42318 g(deca)m(y)h(pro)s(ducts)g(of)e(the)h Fj(\034)11 b Fw(;)31
42319 b(to)e(b)s(e)g(giv)m(en)g(b)m(y)h(the)f(user.)43 b(Y)-8
42320 b(ou)29 b(m)m(ust)g(also)472 5588 y(store)40 b(the)f(KF)f(\015a)m(v)m
42321 (our)i(co)s(des)f(of)f(those)i(deca)m(y)g(pro)s(ducts)f(in)f(the)h(p)s
42322 (ositions)f Fq(K\(I,2\))p Fw(,)1817 5953 y(258)p eop
42323 %%Page: 259 265
42324 259 264 bop 472 -18 a Fq(N+1)p Fn(\024)p Fq(I)p Fn(\024)p
42325 Fq(N+NDECAY)p Fw(,)50 b(of)c(the)g(ev)m(en)m(t)i(record.)84
42326 b(The)46 b(corresp)s(onding)g(\014v)m(e-momen)m(tum)472
42327 90 y(\(momen)m(tum,)51 b(energy)f(and)e(mass\))h(should)f(b)s(e)g
42328 (stored)h(in)f(the)h(asso)s(ciated)f Fq(P\(I,J\))472
42329 198 y Fw(p)s(ositions,)f(1)p Fn(\024)p Fq(J)p Fn(\024)p
42330 Fw(5.)79 b(The)46 b(four-momen)m(ta)c(are)j(exp)s(ected)h(to)e(add)h
42331 (up)f(to)g(the)h(four-)472 307 y(momen)m(tum)38 b(of)g(the)h
42332 Fj(\034)49 b Fw(in)38 b(p)s(osition)f Fq(ITAU)p Fw(.)j(Y)-8
42333 b(ou)38 b(should)g(not)h(c)m(hange)g(the)g Fq(N)g Fw(v)-5
42334 b(alue)38 b(or)472 415 y(an)m(y)i(of)e(the)i(other)f
42335 Fq(K)g Fw(or)f Fq(V)h Fw(v)-5 b(alues)39 b(\(neither)g(for)f(the)i
42336 Fj(\034)50 b Fw(nor)39 b(for)f(its)h(deca)m(y)h(pro)s(ducts\))472
42337 523 y(since)33 b(this)g(is)f(automatically)d(done)k(in)f
42338 Fq(LUDECY)p Fw(.)0 797 y Fp(14.3)136 b(Ev)l(en)l(t)46
42339 b(Study)e(and)h(Data)h(Listing)f(Routines)0 970 y Fw(After)d(an)f
42340 Fq(LUEXEC)i Fw(call,)f(the)g(ev)m(en)m(t)h(generated)f(is)f(stored)h
42341 (in)f(the)h Fq(LUJETS)h Fw(common)d(blo)s(c)m(k,)j(and)0
42342 1078 y(whatev)m(er)k(ph)m(ysical)f(v)-5 b(ariable)43
42343 b(is)i(desired)h(ma)m(y)g(b)s(e)f(constructed)j(from)c(this)h(record.)
42344 83 b(An)46 b(ev)m(en)m(t)0 1187 y(ma)m(y)35 b(b)s(e)h(rotated,)h(b)s(o)
42345 s(osted)f(or)f(listed,)h(and)f(particle)g(data)g(ma)m(y)h(b)s(e)g
42346 (listed)e(or)i(mo)s(di\014ed.)51 b(Via)35 b(the)0 1295
42347 y(functions)29 b Fq(KLU)h Fw(and)f Fq(PLU)g Fw(the)h(v)-5
42348 b(alues)28 b(of)h(some)g(frequen)m(tly)h(app)s(earing)e(v)-5
42349 b(ariables)27 b(ma)m(y)i(b)s(e)g(obtained)0 1403 y(more)f(easily)-8
42350 b(.)42 b(As)30 b(describ)s(ed)f(in)g(section)g(15.4,)g(also)f(more)h
42351 (detailed)f(ev)m(en)m(t)j(shap)s(e)f(analyses)f(ma)m(y)g(b)s(e)0
42352 1512 y(p)s(erformed)j(simply)-8 b(.)p 0 1656 1799 9 v
42353 0 1881 9 225 v 79 1796 a Fq(CALL)52 b(LUROBO\(THE,PHI,BEX,BEY,)q(BEZ\))
42354 p 1791 1881 V 0 1889 1799 9 v 0 2026 a Fo(Purp)s(ose:)c
42355 Fw(to)39 b(p)s(erform)f(rotations)g(and)i(Loren)m(tz)g(b)s(o)s(osts)g
42356 (\(in)e(that)h(order,)j(if)c(b)s(oth)h(in)g(the)h(same)472
42357 2134 y(call\))31 b(of)h(jet/particle)f(momen)m(ta)h(and)h(v)m(ertex)h
42358 (p)s(osition)d(v)-5 b(ariables.)0 2243 y Fq(THE,)52 b(PHI)g(:)c
42359 Fw(standard)28 b(p)s(olar)e(co)s(ordinates)g Fj(\022)s(;)17
42360 b(')p Fw(,)29 b(giving)d(the)h(rotated)h(direction)e(of)h(a)g(momen)m
42361 (tum)472 2351 y(v)m(ector)34 b(initially)28 b(along)k(the)h(+)p
42362 Fj(z)k Fw(axis.)0 2459 y Fq(BEX,)52 b(BEY,)h(BEZ)f(:)47
42363 b Fw(giv)m(es)33 b(the)g(direction)f(and)g(size)h Fb(\014)j
42364 Fw(of)c(a)g(Loren)m(tz)h(b)s(o)s(ost,)f(suc)m(h)i(that)f(a)f(particle)
42365 472 2568 y(initially)d(at)j(rest)h(will)e(ha)m(v)m(e)i
42366 Fo(p)p Fj(=E)h Fw(=)p Fb(\014)i Fw(afterw)m(ards.)0 2676
42367 y Fo(Remark:)53 b Fw(all)40 b(en)m(tries)i(1)f(through)g
42368 Fq(N)h Fw(are)f(a\013ected)h(b)m(y)g(the)g(transformation,)g(unless)g
42369 (lo)m(w)m(er)f(and)472 2785 y(upp)s(er)35 b(b)s(ounds)h(are)e
42370 (explicitly)f(giv)m(en)h(b)m(y)j Fq(MSTU\(1\))f Fw(and)f
42371 Fq(MSTU\(2\))p Fw(,)i(or)d(if)f(status)i(co)s(de)472
42372 2893 y Fq(K\(I,1\))p Fn(\024)30 b Fw(0.)p 0 3032 2415
42373 9 v 0 3256 9 225 v 79 3172 a Fq(ENTRY)53 b(LUDBRB\(IMI,IMA,THE,PHI,DBE)
42374 q(X,DB)q(EY,)q(DBEZ)q(\))p 2406 3256 V 0 3264 2415 9
42375 v 0 3402 a Fo(Purp)s(ose:)48 b Fw(to)39 b(p)s(erform)f(rotations)g(and)
42376 i(Loren)m(tz)g(b)s(o)s(osts)g(\(in)e(that)h(order,)j(if)c(b)s(oth)h(in)
42377 g(the)h(same)472 3510 y(call\))27 b(of)g(jet/particle)g(momen)m(ta)g
42378 (and)h(v)m(ertex)i(p)s(osition)c(v)-5 b(ariables,)28
42379 b(for)f(a)h(sp)s(eci\014c)g(range)472 3619 y(of)42 b(en)m(tries,)j(and)
42380 d(with)f(the)i(b)s(o)s(ost)e(v)m(ector)i(giv)m(en)f(in)g(double)f
42381 (precision.)71 b(Is)43 b(en)m(try)g(to)472 3727 y Fq(LUROBO)p
42382 Fw(,)35 b(mainly)30 b(in)m(tended)j(for)f(in)m(ternal)g(use.)0
42383 3835 y Fq(IMI,)52 b(IMA)g(:)c Fw(range)32 b(of)h(en)m(tries)g
42384 (a\013ected)g(b)m(y)h(transformation,)c Fq(IMI)p Fn(\024)p
42385 Fq(I)p Fn(\024)p Fq(IMA)p Fw(.)0 3944 y Fq(THE,)52 b(PHI)g(:)c
42386 Fw(standard)28 b(p)s(olar)e(co)s(ordinates)g Fj(\022)s(;)17
42387 b(')p Fw(,)29 b(giving)d(the)h(rotated)h(direction)e(of)h(a)g(momen)m
42388 (tum)472 4052 y(v)m(ector)34 b(initially)28 b(along)k(the)h(+)p
42389 Fj(z)k Fw(axis.)0 4160 y Fq(DBEX,)53 b(DBEY,)f(DBEZ)h(:)47
42390 b Fw(giv)m(es)i(the)g(direction)f(and)h(size)g Fb(\014)j
42391 Fw(of)c(a)g(Loren)m(tz)i(b)s(o)s(ost,)i(suc)m(h)e(that)f(a)472
42392 4269 y(particle)28 b(initially)d(at)k(rest)h(will)d(ha)m(v)m(e)j
42393 Fo(p)p Fj(=E)k Fw(=)p Fb(\014)e Fw(afterw)m(ards.)43
42394 b(Is)30 b(to)f(b)s(e)g(giv)m(en)g(in)g(double)472 4377
42395 y(precision.)0 4485 y Fo(Remark:)53 b Fw(all)34 b(en)m(tries)i(with)e
42396 (status)j(co)s(des)f Fq(K\(I,1\)>0)h Fw(in)e(the)g(requested)j(range)d
42397 (are)g(a\013ected)i(b)m(y)472 4594 y(the)c(transformation.)p
42398 0 4719 1082 9 v 0 4938 9 220 v 79 4859 a Fq(CALL)52 b(LUEDIT\(MEDIT\))p
42399 1073 4938 V 0 4946 1082 9 v 0 5083 a Fo(Purp)s(ose:)c
42400 Fw(to)31 b(exclude)i(unstable)f(or)f(undetectable)i(jets/particles)e
42401 (from)g(the)h(ev)m(en)m(t)h(record.)44 b(One)472 5192
42402 y(ma)m(y)d(also)e(use)j Fq(LUEDIT)g Fw(to)e(store)h(spare)h(copies)f
42403 (of)f(ev)m(en)m(ts)j(\(sp)s(eci\014cally)c(initial)e(par-)472
42404 5300 y(ton)j(con\014guration\))e(that)i(can)f(b)s(e)h(recalled)e(to)i
42405 (allo)m(w)d(e.g.)65 b(di\013eren)m(t)39 b(fragmen)m(tation)472
42406 5408 y(sc)m(hemes)g(to)e(b)s(e)h(run)f(through)h(with)f(one)g(and)h
42407 (the)f(same)g(parton)g(con\014guration.)57 b(Fi-)472
42408 5517 y(nally)-8 b(,)33 b(an)h(ev)m(en)m(t)h(whic)m(h)g(has)f(b)s(een)g
42409 (analyzed)g(with)g Fq(LUSPHE)p Fw(,)h Fq(LUTHRU)h Fw(or)d
42410 Fq(LUCLUS)i Fw(\(see)472 5625 y(section)e(15.4\))f(ma)m(y)g(b)s(e)h
42411 (rotated)g(to)f(align)e(the)j(ev)m(en)m(t)i(axis)d(with)g(the)h
42412 Fj(z)38 b Fw(direction.)1817 5953 y(259)p eop
42413 %%Page: 260 266
42414 260 265 bop 0 -18 a Fq(MEDIT)53 b(:)113 b Fw(tells)32
42415 b(whic)m(h)h(action)f(is)g(to)g(b)s(e)h(tak)m(en.)236
42416 90 y Fq(=)52 b(0)f(:)217 b Fw(empt)m(y)41 b(\()p Fq(K\(I,1\)=0)p
42417 Fw(\))j(and)d(do)s(cumen)m(tation)f(\()p Fq(K\(I,1\)>20)p
42418 Fw(\))k(lines)c(are)h(remo)m(v)m(ed.)709 198 y(The)52
42419 b(jets/particles)f(remaining)f(are)i(compressed)h(in)e(the)h(b)s
42420 (eginning)e(of)h(the)709 307 y Fq(LUJETS)28 b Fw(common)d(blo)s(c)m(k)h
42421 (and)h(the)f Fq(N)h Fw(v)-5 b(alue)26 b(is)g(up)s(dated)h(accordingly)
42422 -8 b(.)40 b(The)28 b(ev)m(en)m(t)709 415 y(history)g(is)h(lost,)g(so)g
42423 (that)g(information)c(stored)30 b(in)e Fq(K\(I,3\))p
42424 Fw(,)j Fq(K\(I,4\))g Fw(and)e Fq(K\(I,5\))709 523 y Fw(is)j(no)g
42425 (longer)g(relev)-5 b(an)m(t.)236 632 y Fq(=)52 b(1)f(:)217
42426 b Fw(as)42 b Fq(=0)p Fw(,)k(but)d(in)e(addition)g(all)f(jets/particles)
42427 i(that)h(ha)m(v)m(e)h(fragmen)m(ted/deca)m(y)m(ed)709
42428 740 y(\()p Fq(K\(I,1\)>10)p Fw(\))34 b(are)f(remo)m(v)m(ed.)236
42429 848 y Fq(=)52 b(2)f(:)217 b Fw(as)26 b Fq(=1)p Fw(,)j(but)d(also)g(all)
42430 e(neutrinos)j(and)g(unkno)m(wn)h(particles)d(\(i.e.)41
42431 b(compressed)28 b(co)s(de)709 957 y(K)m(C=)g(0\))k(are)h(remo)m(v)m
42432 (ed.)236 1065 y Fq(=)52 b(3)f(:)217 b Fw(as)22 b Fq(=2)p
42433 Fw(,)i(but)e(also)f(all)f(unc)m(harged,)25 b(colour)c(neutral)h
42434 (particles)f(are)g(remo)m(v)m(ed,)k(lea)m(ving)709 1173
42435 y(only)34 b(c)m(harged,)j(stable)e(particles)f(\(and)h(unfragmen)m(ted)
42436 g(partons,)h(if)e(fragmen)m(ta-)709 1282 y(tion)d(has)i(not)g(b)s(een)g
42437 (p)s(erformed\).)236 1390 y Fq(=)52 b(5)f(:)217 b Fw(as)33
42438 b Fq(=0)p Fw(,)g(but)g(also)f(all)e(partons)j(whic)m(h)h(ha)m(v)m(e)g
42439 (branc)m(hed)g(or)e(b)s(een)i(rearranged)f(in)f(a)709
42440 1498 y(parton)d(sho)m(w)m(er)j(and)e(all)e(particles)i(whic)m(h)g(ha)m
42441 (v)m(e)i(deca)m(y)m(ed)g(are)e(remo)m(v)m(ed,)h(lea)m(ving)709
42442 1607 y(only)h(the)h(fragmen)m(ting)e(parton)h(con\014guration)g(and)g
42443 (the)h(\014nal-state)f(particles.)236 1715 y Fq(=)52
42444 b(11)g(:)165 b Fw(remo)m(v)m(e)56 b(lines)f(with)g Fq(K\(I,1\)<0)p
42445 Fw(.)116 b(Up)s(date)56 b(ev)m(en)m(t)h(history)f(information)c(\(in)
42446 709 1823 y Fq(K\(I,3\))h(-)e(K\(I,5\))p Fw(\))34 b(to)e(refer)h(to)f
42447 (remaining)f(en)m(tries.)236 1932 y Fq(=)52 b(12)g(:)165
42448 b Fw(remo)m(v)m(e)56 b(lines)f(with)g Fq(K\(I,1\)=0)p
42449 Fw(.)116 b(Up)s(date)56 b(ev)m(en)m(t)h(history)f(information)c(\(in)
42450 709 2040 y Fq(K\(I,3\))h(-)e(K\(I,5\))p Fw(\))34 b(to)e(refer)h(to)f
42451 (remaining)f(en)m(tries.)236 2148 y Fq(=)52 b(13)g(:)165
42452 b Fw(remo)m(v)m(e)56 b(lines)f(with)g Fq(K\(I,1\))p Fw(=)68
42453 b(11,)61 b(12)56 b(or)f(15,)61 b(except)c(for)e(an)m(y)i(line)d(with)
42454 709 2257 y Fq(K\(I,2\)=94)p Fw(.)46 b(Up)s(date)32 b(ev)m(en)m(t)j
42455 (history)d(information)e(\(in)h Fq(K\(I,3\))53 b(-)f(K\(I,5\))p
42456 Fw(\))34 b(to)709 2365 y(refer)c(to)f(remaining)e(en)m(tries.)43
42457 b(In)30 b(particular,)f(try)h(to)f(trace)h(origin)d(of)i(daugh)m(ters,)
42458 709 2473 y(for)j(whic)m(h)h(the)g(mother)f(is)g(deca)m(y)m(ed,)j(bac)m
42459 (k)e(to)g(en)m(tries)g(not)f(deleted.)236 2582 y Fq(=)52
42460 b(14)g(:)165 b Fw(remo)m(v)m(e)34 b(lines)e(with)h Fq(K\(I,1\))p
42461 Fw(=)e(13)i(or)g(14,)g(and)g(also)g(an)m(y)h(line)e(with)h
42462 Fq(K\(I,2\)=94)p Fw(.)709 2690 y(Up)s(date)k(ev)m(en)m(t)i(history)e
42463 (information)d(\(in)i Fq(K\(I,3\))53 b(-)f(K\(I,5\))p
42464 Fw(\))39 b(to)d(refer)i(to)f(re-)709 2798 y(maining)27
42465 b(en)m(tries.)43 b(In)30 b(particular,)f(try)h(to)g(trace)g(origin)e
42466 (of)h(rearranged)h(jets)g(bac)m(k)709 2907 y(through)i(the)h
42467 (parton-sho)m(w)m(er)h(history)e(to)g(the)h(sho)m(w)m(er)i(initiator.)
42468 236 3015 y Fq(=)52 b(15)g(:)165 b Fw(remo)m(v)m(e)51
42469 b(lines)f(with)g Fq(K\(I,1\)>20)p Fw(.)100 b(Up)s(date)51
42470 b(ev)m(en)m(t)h(history)f(information)c(\(in)709 3123
42471 y Fq(K\(I,3\))53 b(-)e(K\(I,5\))p Fw(\))34 b(to)e(refer)h(to)f
42472 (remaining)f(en)m(tries.)236 3232 y Fq(=)52 b(16)g(:)165
42473 b Fw(try)24 b(to)g(reconstruct)i(missing)c(daugh)m(ter)j(p)s(oin)m
42474 (ters)f(of)g(deca)m(y)m(ed)j(particles)c(from)g(the)709
42475 3340 y(mother)f(p)s(oin)m(ters)g(of)g(deca)m(y)i(pro)s(ducts.)41
42476 b(These)24 b(missing)d(p)s(oin)m(ters)h(t)m(ypically)g(come)709
42477 3448 y(from)j(the)h(need)i(to)d(use)j Fq(K\(I,4\))f Fw(and)g
42478 Fq(K\(I,5\))g Fw(also)f(for)f(colour)h(\015o)m(w)h(information.)236
42479 3557 y Fq(=)52 b(21)g(:)165 b Fw(all)29 b(partons/particles)h(in)h
42480 (curren)m(t)h(ev)m(en)m(t)h(record)f(are)f(stored)g(\(as)h(a)f(spare)g
42481 (cop)m(y\))709 3665 y(in)c(b)s(ottom)h(of)g(common)f(blo)s(c)m(k)h
42482 Fq(LUJETS)i Fw(\(is)e(e.g.)43 b(done)29 b(to)f(sa)m(v)m(e)i(original)25
42483 b(partons)709 3774 y(b)s(efore)32 b(calling)g Fq(LUEXEC)p
42484 Fw(\).)236 3882 y Fq(=)52 b(22)g(:)165 b Fw(partons/particles)26
42485 b(stored)h(in)f(b)s(ottom)g(of)g(ev)m(en)m(t)j(record)e(with)g
42486 Fq(=21)h Fw(are)e(placed)h(in)709 3990 y(b)s(eginning)21
42487 b(of)h(record)h(again,)h(o)m(v)m(erwriting)e(previous)h(information)c
42488 (there)24 b(\(so)f(that)709 4099 y(e.g.)43 b(a)31 b(di\013eren)m(t)g
42489 (fragmen)m(tation)e(sc)m(heme)k(can)e(b)s(e)g(used)i(on)e(the)g(same)g
42490 (partons\).)709 4207 y(Since)37 b(the)h(cop)m(y)h(at)e(b)s(ottom)f(is)h
42491 (una\013ected,)j(rep)s(eated)e(calls)e(with)h Fq(=22)i
42492 Fw(can)e(b)s(e)709 4315 y(made.)236 4424 y Fq(=)52 b(23)g(:)165
42493 b Fw(primary)26 b(partons/particles)g(in)h(the)h(b)s(eginning)d(of)i
42494 (ev)m(en)m(t)i(record)f(are)g(mark)m(ed)f(as)709 4532
42495 y(not)35 b(fragmen)m(ted)h(or)f(deca)m(y)m(ed,)k(and)d(n)m(um)m(b)s(er)
42496 g(of)f(en)m(tries)h Fq(N)g Fw(is)f(up)s(dated)i(accord-)709
42497 4640 y(ingly)-8 b(.)40 b(Is)29 b(simp)s(e)d(substitute)j(for)e
42498 Fq(=21)i Fw(plus)f Fq(=22)g Fw(when)h(no)f(fragmen)m(tation/deca)m(y)
42499 709 4749 y(pro)s(ducts)33 b(precede)h(an)m(y)f(of)g(the)g(original)c
42500 (partons/particles.)236 4857 y Fq(=)52 b(31)g(:)165 b
42501 Fw(rotate)25 b(largest)f(axis,)j(determined)e(b)m(y)i
42502 Fq(LUSPHE)p Fw(,)g Fq(LUTHRU)g Fw(or)e Fq(LUCLUS)p Fw(,)h(to)f(sit)g
42503 (along)709 4965 y(the)h Fj(z)k Fw(direction,)c(and)g(the)g(second)i
42504 (largest)d(axis)g(in)m(to)g(the)h Fj(xz)31 b Fw(plane.)41
42505 b(F)-8 b(or)25 b Fq(LUCLUS)709 5074 y Fw(it)35 b(can)i(b)s(e)f(further)
42506 h(sp)s(eci\014ed)g(to)f(+)p Fj(z)41 b Fw(axis)c(and)f
42507 Fj(xz)42 b Fw(plane)36 b(with)g Fj(x)e(>)g Fw(0,)k(resp)s(ec-)709
42508 5182 y(tiv)m(ely)-8 b(.)43 b(Requires)33 b(that)f(one)h(of)f(these)i
42509 (routines)f(has)g(b)s(een)g(called)e(b)s(efore.)236 5290
42510 y Fq(=)52 b(32)g(:)165 b Fw(mainly)24 b(in)m(tended)k(for)e
42511 Fq(LUSPHE)i Fw(and)f Fq(LUTHRU)p Fw(,)h(this)e(giv)m(es)h(a)f(further)h
42512 (alignmen)m(t)e(of)709 5399 y(the)33 b(ev)m(en)m(t,)j(in)c(addition)g
42513 (to)h(the)g(one)h(implied)c(b)m(y)36 b Fq(=31)p Fw(.)46
42514 b(The)34 b(`slim')d(jet,)j(de\014ned)709 5507 y(as)j(the)h(side)g(\()p
42515 Fj(z)j(>)36 b Fw(0)h(or)g Fj(z)k(<)36 b Fw(0\))i(with)f(the)h(smallest)
42516 e(summed)h Fj(p)3195 5522 y Fk(?)3292 5507 y Fw(o)m(v)m(er)h(square)709
42517 5615 y(ro)s(ot)g(of)h(n)m(um)m(b)s(er)h(of)f(particles,)i(is)e(rotated)
42518 g(in)m(to)g(the)h(+)p Fj(z)k Fw(hemisphere.)64 b(In)40
42519 b(the)1817 5953 y(260)p eop
42520 %%Page: 261 267
42521 261 266 bop 709 -18 a Fw(opp)s(osite)39 b(hemisphere)i(\(no)m(w)g
42522 Fj(z)k(<)c Fw(0\),)h(the)f(side)f(of)g Fj(x)h(>)g Fw(0)f(and)g
42523 Fj(x)h(<)g Fw(0)f(whic)m(h)709 90 y(has)e(the)h(largest)e(summed)h
42524 Fn(j)p Fj(p)1850 105 y Fh(z)1889 90 y Fn(j)g Fw(is)g(rotated)g(in)m(to)
42525 f(the)i Fj(z)j(<)37 b Fw(0)p Fj(;)17 b(x)37 b(>)g Fw(0)h(quadran)m(t.)
42526 709 198 y(Requires)33 b(that)f Fq(LUSPHE)i Fw(or)f Fq(LUTHRU)h
42527 Fw(has)f(b)s(een)g(called)e(b)s(efore.)0 307 y Fo(Remark:)53
42528 b Fw(all)33 b(en)m(tries)i(1)f(through)g Fq(N)h Fw(are)f(a\013ected)h
42529 (b)m(y)h(the)e(editing.)48 b(F)-8 b(or)33 b(options)h(0{5)g(lo)m(w)m
42530 (er)g(and)472 415 y(upp)s(er)g(b)s(ounds)f(can)g(b)s(e)f(explicitly)f
42531 (giv)m(en)i(b)m(y)i Fq(MSTU\(1\))f Fw(and)f Fq(MSTU\(2\))p
42532 Fw(.)p 0 559 1082 9 v 0 778 9 220 v 79 699 a Fq(CALL)52
42533 b(LULIST\(MLIST\))p 1073 778 V 0 786 1082 9 v 0 918 a
42534 Fo(Purp)s(ose:)c Fw(to)32 b(list)f(an)i(ev)m(en)m(t,)h(jet)f(or)f
42535 (particle)f(data,)i(or)f(curren)m(t)h(parameter)g(v)-5
42536 b(alues.)0 1027 y Fq(MLIST)53 b(:)113 b Fw(determines)33
42537 b(what)g(is)f(to)g(b)s(e)h(listed.)236 1135 y Fq(=)52
42538 b(0)f(:)217 b Fw(writes)48 b(a)g(title)e(page,)52 b(common)47
42539 b(for)h Fm(Jetset)f Fw(and)h Fm(Pythia)p Fw(,)k(with)c(program)709
42540 1243 y(v)m(ersion)33 b(n)m(um)m(b)s(ers)g(and)g(last)f(dates)h(of)f(c)m
42541 (hange;)i(is)e(mostly)f(for)h(in)m(ternal)g(use.)236
42542 1352 y Fq(=)52 b(1)f(:)217 b Fw(giv)m(es)23 b(a)h(simple)d(list)h(of)h
42543 (curren)m(t)i(ev)m(en)m(t)g(record,)h(in)c(an)i(80)e(column)h(format)e
42544 (suitable)709 1460 y(for)k(viewing)g(directly)g(on)g(the)h(computer)g
42545 (terminal.)38 b(F)-8 b(or)25 b(eac)m(h)i(en)m(try)-8
42546 b(,)28 b(the)e(follo)m(w-)709 1568 y(ing)33 b(information)f(is)i(giv)m
42547 (en:)47 b(the)35 b(en)m(try)h(n)m(um)m(b)s(er)f Fq(I)p
42548 Fw(,)g(the)g(parton/particle)e(name)709 1677 y(\(see)28
42549 b(b)s(elo)m(w\),)g(the)g(status)f(co)s(de)h(\()p Fq(K\(I,1\))p
42550 Fw(\),)i(the)d(\015a)m(v)m(our)h(co)s(de)g(KF)e(\()p
42551 Fq(K\(I,2\))p Fw(\),)k(the)709 1785 y(line)36 b(n)m(um)m(b)s(er)i(of)f
42552 (the)h(mother)f(\()p Fq(K\(I,3\))p Fw(\),)k(and)c(the)i(three-momen)m
42553 (tum,)e(energy)709 1893 y(and)27 b(mass)h(\()p Fq(P\(I,1\))53
42554 b(-)e(P\(I,5\))p Fw(\).)43 b(If)35 b Fq(MSTU\(3\))29
42555 b Fw(is)e(non-zero,)i(lines)e(immediately)709 2002 y(after)34
42556 b(the)h(ev)m(en)m(t)i(record)e(prop)s(er)f(are)h(also)f(listed.)49
42557 b(A)34 b(\014nal)g(line)g(con)m(tains)g(infor-)709 2110
42558 y(mation)c(on)j(total)e(c)m(harge,)i(momen)m(tum,)e(energy)j(and)f(in)m
42559 (v)-5 b(arian)m(t)31 b(mass.)709 2219 y(The)h(particle)f(name)g(is)g
42560 (giv)m(en)h(b)m(y)g(a)f(call)f(to)i(the)g(routine)f Fq(LUNAME)p
42561 Fw(.)i(F)-8 b(or)31 b(an)g(en)m(try)709 2327 y(whic)m(h)43
42562 b(has)h(deca)m(y)m(ed/fragmen)m(ted)h(\()p Fq(K\(I,1\)=)g
42563 Fw(11{20\),)g(this)d(particle)g(name)h(is)709 2435 y(giv)m(en)33
42564 b(within)g(paren)m(theses.)48 b(Similarly)-8 b(,)30 b(a)j(do)s(cumen)m
42565 (tation)g(line)f(\()p Fq(K\(I,1\)=)j Fw(21{)709 2544
42566 y(30\))j(has)h(the)g(name)f(enclosed)h(in)f(expression)i(signs)f(\(!.)
42567 16 b(.)g(.)g(!\))62 b(and)39 b(an)g(ev)m(en)m(t/jet)709
42568 2652 y(axis)f(information)e(line)h(the)j(name)e(within)g(inequalit)m(y)
42569 g(signs)g(\()p Fj(<)p Fw(.)16 b(.)g(.)g Fj(>)p Fw(\).)63
42570 b(If)39 b(the)709 2760 y(last)32 b(c)m(haracter)i(of)f(the)g(name)g(is)
42571 g(a)g(`?',)g(it)g(is)f(a)h(signal)f(that)h(the)g(complete)g(name)709
42572 2869 y(has)42 b(b)s(een)h(truncated)h(to)e(\014t)g(in,)i(and)e(can)h
42573 (therefore)g(not)f(b)s(e)h(trusted;)48 b(this)42 b(is)709
42574 2977 y(v)m(ery)31 b(rare.)43 b(F)-8 b(or)29 b(partons)i(whic)m(h)f(ha)m
42575 (v)m(e)i(b)s(een)f(arranged)f(along)f(strings)h(\()p
42576 Fq(K\(I,1\)=)709 3085 y Fw(1,)h(2,)g(11)g(or)g(12\),)g(the)h(end)g(of)f
42577 (the)g(parton)g(name)g(column)f(con)m(tains)i(information)709
42578 3194 y(ab)s(out)f(the)i(colour)e(string)g(arrangemen)m(t:)43
42579 b(an)32 b Fq(A)h Fw(for)e(the)i(\014rst)f(en)m(try)i(of)d(a)h(string,)
42580 709 3302 y(an)38 b Fq(I)h Fw(for)f(all)f(in)m(termediate)g(ones,)k(and)
42581 e(a)f Fq(V)h Fw(for)f(the)h(\014nal)f(one)h(\(a)f(p)s(o)s(or)g(man's)
42582 709 3410 y(rendering)32 b(of)g(a)h(v)m(ertical)e(doublesided)i(arro)m
42583 (w,)g Fn(l)p Fw(\).)709 3519 y(It)28 b(is)g(p)s(ossible)f(to)h(insert)g
42584 (lines)g(just)g(consisting)g(of)f(sequences)32 b(of)i
42585 Fq(======)c Fw(to)e(sep-)709 3627 y(arate)k(di\013eren)m(t)h(sections)g
42586 (of)f(the)h(ev)m(en)m(t)h(record,)g(see)f Fq(MSTU\(70\))54
42587 b(-)d(MSTU\(80\))p Fw(.)236 3735 y Fq(=)h(2)f(:)217 b
42588 Fw(giv)m(es)36 b(a)f(more)g(extensiv)m(e)i(list)e(of)g(the)h(curren)m
42589 (t)g(ev)m(en)m(t)i(record,)f(in)d(a)i(132)f(column)709
42590 3844 y(format,)46 b(suitable)e(for)g(prin)m(ters)h(or)f(w)m
42591 (orkstations.)81 b(F)-8 b(or)44 b(eac)m(h)h(en)m(try)-8
42592 b(,)49 b(the)c(fol-)709 3952 y(lo)m(wing)g(information)e(is)j(giv)m
42593 (en:)71 b(the)47 b(en)m(try)h(n)m(um)m(b)s(er)f Fq(I)p
42594 Fw(,)f(the)h(parton/particle)709 4060 y(name)33 b(\(with)h(padding)f
42595 (as)h(describ)s(ed)h(for)f Fq(=1)p Fw(\),)h(the)f(status)h(co)s(de)f
42596 (\()p Fq(K\(I,1\))p Fw(\),)i(the)709 4169 y(\015a)m(v)m(our)e(co)s(de)f
42597 (KF)g(\()p Fq(K\(I,2\))p Fw(\),)i(the)f(line)d(n)m(um)m(b)s(er)j(of)f
42598 (the)g(mother)g(\()p Fq(K\(I,3\))p Fw(\),)i(the)709 4277
42599 y(deca)m(y)48 b(pro)s(duct/colour-\015o)m(w)e(p)s(oin)m(ters)g(\()p
42600 Fq(K\(I,4\),)53 b(K\(I,5\))p Fw(\),)f(and)46 b(the)h(three-)709
42601 4385 y(momen)m(tum,)42 b(energy)h(and)e(mass)h(\()p Fq(P\(I,1\))53
42602 b(-)e(P\(I,5\))p Fw(\).)72 b(If)48 b Fq(MSTU\(3\))c Fw(is)d(non-)709
42603 4494 y(zero,)e(lines)d(immediately)f(after)i(the)h(ev)m(en)m(t)h
42604 (record)f(prop)s(er)f(are)h(also)e(listed.)57 b(A)709
42605 4602 y(\014nal)37 b(line)f(con)m(tains)i(information)c(on)k(total)e(c)m
42606 (harge,)k(momen)m(tum,)e(energy)g(and)709 4710 y(in)m(v)-5
42607 b(arian)m(t)31 b(mass.)43 b(Lines)33 b(with)f(only)i
42608 Fq(======)g Fw(ma)m(y)e(b)s(e)h(inserted)g(as)g(for)f
42609 Fq(=1)p Fw(.)236 4819 y Fq(=)52 b(3)f(:)217 b Fw(giv)m(es)39
42610 b(the)g(same)g(basic)f(listing)f(as)i Fq(=2)p Fw(,)i(but)e(with)f(an)h
42611 (additional)d(line)h(for)i(eac)m(h)709 4927 y(en)m(try)50
42612 b(con)m(taining)f(information)d(on)j(pro)s(duction)g(v)m(ertex)i(p)s
42613 (osition)d(and)i(time)709 5035 y(\()p Fq(V\(I,1\))i(-)g(V\(I,4\))p
42614 Fw(\))26 b(and,)g(for)f(unstable)f(particles,)i(prop)s(er)e(lifetime)e
42615 (\()p Fq(V\(I,5\))p Fw(\).)236 5144 y Fq(=)52 b(11)g(:)165
42616 b Fw(pro)m(vides)28 b(a)f(simple)e(list)h(of)h(all)e(parton/particle)h
42617 (co)s(des)i(de\014ned)h(in)d(the)i(program,)709 5252
42618 y(with)35 b(KF)h(co)s(de)g(and)g(corresp)s(onding)g(particle)e(name.)54
42619 b(The)37 b(list)d(is)i(group)s(ed)g(b)m(y)709 5360 y(particle)31
42620 b(kind,)i(and)f(only)g(within)g(eac)m(h)h(group)g(in)e(ascending)i
42621 (order.)236 5469 y Fq(=)52 b(12)g(:)165 b Fw(pro)m(vides)46
42622 b(a)e(list)g(of)h(all)e(parton/particle)g(and)j(deca)m(y)g(data)f(used)
42623 h(in)f(the)g(pro-)709 5577 y(gram.)63 b(Eac)m(h)40 b(parton/particle)e
42624 (co)s(de)i(is)f(represen)m(ted)j(b)m(y)f(one)f(line)e(con)m(taining)
42625 1817 5953 y(261)p eop
42626 %%Page: 262 268
42627 262 267 bop 709 -18 a Fw(KF)31 b(\015a)m(v)m(our)i(co)s(de,)g(K)m(C)f
42628 (compressed)i(co)s(de,)e(particle)f(name,)h(an)m(tiparticle)e(name)709
42629 90 y(\(where)h(appropriate\),)f(electrical)e(and)i(colour)g(c)m(harge)g
42630 (\(stored)h(in)e Fq(KCHG)p Fw(\),)i(mass,)709 198 y(resonance)39
42631 b(width)f(and)g(maxim)m(um)d(broadening,)k(a)m(v)m(erage)g(prop)s(er)e
42632 (lifetime)e(\(in)709 307 y Fq(PMAS)p Fw(\))46 b(and)f(whether)i(the)e
42633 (particle)f(is)h(considered)h(stable)f(or)g(not)g(\(in)f
42634 Fq(MDCY)p Fw(\).)709 415 y(Immediately)34 b(after)h(a)h(particle,)g
42635 (eac)m(h)g(deca)m(y)i(c)m(hannel)e(gets)h(one)f(line,)f(con)m(tain-)709
42636 523 y(ing)j(deca)m(y)j(c)m(hannel)f(n)m(um)m(b)s(er)g(\()p
42637 Fq(IDC)h Fw(read)f(from)e Fq(MDCY)p Fw(\),)j(on/o\013)e(switc)m(h)h
42638 (for)f(the)709 632 y(c)m(hannel,)32 b(matrix)f(elemen)m(t)h(t)m(yp)s(e)
42639 h(\()p Fq(MDME)p Fw(\),)h(branc)m(hing)e(ratio)f(\()p
42640 Fq(BRAT)p Fw(\),)i(and)f(deca)m(y)709 740 y(pro)s(ducts)42
42641 b(\()p Fq(KFDP)p Fw(\).)h(The)g Fq(MSTU\(14\))h Fw(\015ag)d(can)h(b)s
42642 (e)g(used)h(to)f(set)h(the)f(maxim)m(um)709 848 y(\015a)m(v)m(our)33
42643 b(for)f(whic)m(h)h(particles)f(are)g(listed,)g(with)g(the)h(default)f
42644 (\(=)g(0\))g(corresp)s(ond-)709 957 y(ing)c(to)h(separately)h
42645 (de\014ned)h(ones)f(\(K)m(C)p Fj(>)e Fw(100)h(if)f(KF)p
42646 Fj(>)f Fw(0\).)42 b(In)30 b(order)g(to)f(k)m(eep)i(the)709
42647 1065 y(size)37 b(do)m(wn,)h(deca)m(y)g(mo)s(des)f(of)f(hea)m(vy)i
42648 (hadrons)g(collectiv)m(ely)d(de\014ned)j(are)f(nev)m(er)709
42649 1173 y(listed;)g(these)h(ha)m(v)m(e)f(K)m(C)g(co)s(des)g(84{88,)f
42650 (where)i(the)e(relev)-5 b(an)m(t)37 b(information)c(ma)m(y)709
42651 1282 y(b)s(e)f(found.)236 1390 y Fq(=)52 b(13)g(:)165
42652 b Fw(giv)m(es)36 b(a)g(list)f(of)h(curren)m(t)h(parameter)f(v)-5
42653 b(alues)36 b(for)f Fq(MSTU)p Fw(,)j Fq(PARU)p Fw(,)f
42654 Fq(MSTJ)g Fw(and)f Fq(PARJ)p Fw(,)709 1498 y(and)i(the)g(\014rst)h(200)
42655 e(en)m(tries)i(of)44 b Fq(PARF)p Fw(.)39 b(This)f(is)g(useful)g(to)g(k)
42656 m(eep)h(c)m(hec)m(k)h(of)e(whic)m(h)709 1607 y(default)32
42657 b(v)-5 b(alues)32 b(w)m(ere)i(c)m(hanged)g(in)d(a)i(giv)m(en)f(run.)0
42658 1715 y Fo(Remark:)53 b Fw(for)31 b(options)g(1{3)f(and)h(12)g(lo)m(w)m
42659 (er)g(and)h(upp)s(er)f(b)s(ounds)h(of)f(the)h(listing)c(can)k(b)s(e)f
42660 (explicitly)472 1823 y(giv)m(en)i(b)m(y)i Fq(MSTU\(1\))f
42661 Fw(and)f Fq(MSTU\(2\))p Fw(.)p 0 1968 1287 9 v 0 2192
42662 9 225 v 79 2108 a Fq(CALL)52 b(LUUPDA\(MUPDA,LFN\))p
42663 1278 2192 V 0 2200 1287 9 v 0 2332 a Fo(Purp)s(ose:)c
42664 Fw(to)35 b(giv)m(e)h(y)m(ou)h(the)f(abilit)m(y)e(to)h(up)s(date)h
42665 (particle)f(data,)h(or)g(to)f(k)m(eep)j(sev)m(eral)e(v)m(ersions)h(of)
42666 472 2441 y(mo)s(di\014ed)32 b(particle)f(data)h(for)g(sp)s(ecial)g
42667 (purp)s(oses)i(\(e.g.)43 b(c)m(harm)33 b(studies\).)0
42668 2549 y Fq(MUPDA)53 b(:)113 b Fw(giv)m(es)33 b(the)g(t)m(yp)s(e)h(of)e
42669 (action)g(to)g(b)s(e)h(tak)m(en.)236 2657 y Fq(=)52 b(1)f(:)217
42670 b Fw(write)29 b(a)f(table)h(of)g(particle)f(data,)h(that)g(y)m(ou)h
42671 (then)g(can)f(edit)g(at)g(leisure.)42 b(F)-8 b(or)28
42672 b(ordi-)709 2766 y(nary)35 b(listing)f(of)h(deca)m(y)h(data,)g
42673 Fq(LULIST\(12\))i Fw(should)e(b)s(e)f(used,)j(but)e(that)f(listing)709
42674 2874 y(could)d(not)g(b)s(e)h(read)g(bac)m(k)g(in)f(b)m(y)i(the)f
42675 (program.)709 2982 y(F)-8 b(or)21 b(eac)m(h)i(compressed)h(\015a)m(v)m
42676 (our)f(co)s(de)g(K)m(C)g(=)f(1{500,)h(one)f(line)f(is)h(written)g(con)m
42677 (tain-)709 3091 y(ing)27 b(K)m(C)h(\()p Fq(I5)p Fw(\),)h(the)g(basic)e
42678 (particle)g(name)g(\(i.e.)42 b(excluding)27 b(c)m(harge)i(etc.\))42
42679 b(\()p Fq(2X,A8)p Fw(\))709 3199 y(in)23 b Fq(CHAF)p
42680 Fw(,)h(the)g(electric)f(\()p Fq(I3)p Fw(\),)j(colour)d(c)m(harge)h(\()p
42681 Fq(I3)p Fw(\))g(and)g(particle/an)m(tiparticle)c(dis-)709
42682 3307 y(tinction)32 b(\()p Fq(I3)p Fw(\))i(co)s(des)g(in)f
42683 Fq(KCHG)p Fw(,)i(the)f(mass)g(\()p Fq(F12.5)p Fw(\),)h(the)f(mass)g
42684 (width)f(\()p Fq(F12.5)p Fw(\),)709 3416 y(maxim)m(um)39
42685 b(broadening)h(\()p Fq(F12.5)p Fw(\))j(and)e(a)m(v)m(erage)h(prop)s(er)
42686 f(lifetime)e(\()p Fq(2X,F12.5)p Fw(\))709 3524 y(in)31
42687 b Fq(PMAS)p Fw(,)j(and)f(the)g(on/o\013)f(deca)m(y)i(switc)m(h)f
42688 (\(I3\))f(in)g Fq(MDCY\(KC,1\).)709 3632 y Fw(After)d(a)g(K)m(C)g(line)
42689 f(follo)m(ws)g(one)h(line)f(for)g(eac)m(h)i(p)s(ossible)f(deca)m(y)h(c)
42690 m(hannel,)g(con)m(tain-)709 3741 y(ing)39 b(the)i Fq(MDME)g
42691 Fw(co)s(des)g(\()p Fq(5X,2I5)p Fw(\),)i(the)e(branc)m(hing)f(ratio)f
42692 (\()p Fq(5X,F12.5)p Fw(\))j(in)d Fq(BRAT)p Fw(,)709 3849
42693 y(and)32 b(the)h Fq(KFDP)g Fw(co)s(des)g(for)e(the)i(deca)m(y)h(pro)s
42694 (ducts)f(\()p Fq(5I8)p Fw(\),)g(with)e(trailing)e(0's)k(if)e(the)709
42695 3958 y(n)m(um)m(b)s(er)i(of)f(deca)m(y)i(pro)s(ducts)f(is)f(smaller)f
42696 (than)h(5.)236 4066 y Fq(=)52 b(2)f(:)217 b Fw(read)39
42697 b(in)f(particle)f(data,)j(as)f(written)g(with)f Fq(=1)i
42698 Fw(and)f(thereafter)g(edited)g(b)m(y)h(y)m(ou,)709 4174
42699 y(and)31 b(use)h(this)f(data)f(subsequen)m(tly)k(in)c(the)i(curren)m(t)
42700 g(run.)43 b(Reading)31 b(is)f(done)i(with)709 4283 y(\014xed)40
42701 b(format,)g(whic)m(h)g(means)g(that)f(y)m(ou)h(ha)m(v)m(e)h(to)e
42702 (preserv)m(e)j(the)e(format)e(co)s(des)709 4391 y(describ)s(ed)31
42703 b(for)g Fq(=1)g Fw(during)f(the)h(editing.)42 b(A)31
42704 b(n)m(um)m(b)s(er)g(of)f(c)m(hec)m(ks)k(will)28 b(b)s(e)j(made)g(to)709
42705 4499 y(see)d(if)e(input)h(lo)s(oks)g(reasonable,)h(with)f(w)m(arnings)g
42706 (if)f(not.)42 b(If)27 b(some)g(deca)m(y)i(c)m(hannel)709
42707 4608 y(is)41 b(said)g(not)g(to)g(conserv)m(e)j(c)m(harge,)h(it)40
42708 b(should)i(b)s(e)f(tak)m(en)i(seriously)-8 b(.)70 b(W)-8
42709 b(arnings)709 4716 y(that)33 b(deca)m(y)j(is)d(kinematically)e(unallo)m
42710 (w)m(ed)i(need)i(not)f(b)s(e)g(as)g(serious,)g(since)h(that)709
42711 4824 y(particular)d(deca)m(y)k(mo)s(de)e(ma)m(y)g(not)g(b)s(e)h(switc)m
42712 (hed)g(on)g(unless)g(the)f(particle)g(mass)709 4933 y(is)e(increased.)
42713 236 5041 y Fq(=)52 b(3)f(:)217 b Fw(write)30 b(curren)m(t)i(particle)e
42714 (data)g(as)h(data)f(lines,)h(whic)m(h)g(can)g(b)s(e)g(edited)g(in)m(to)
42715 f Fq(BLOCK)709 5149 y(DATA)52 b(LUDATA)46 b Fw(for)e(a)g(p)s(ermanen)m
42716 (t)g(replacemen)m(t)h(of)f(the)h(particle)e(data.)78
42717 b(This)709 5258 y(option)31 b(is)h(in)m(tended)i(for)e(the)h(program)e
42718 (author)h(only)-8 b(,)32 b(not)h(for)f(y)m(ou.)0 5366
42719 y Fq(LFN)52 b(:)216 b Fw(the)36 b(\014le)f(n)m(um)m(b)s(er)g(whic)m(h)h
42720 (the)f(data)g(should)g(b)s(e)h(written)e(to)h(or)g(read)g(from.)50
42721 b(Y)-8 b(ou)35 b(m)m(ust)472 5474 y(see)d(to)f(it)e(that)i(this)f
42722 (\014le)g(is)h(prop)s(erly)f(op)s(ened)h(for)g(read)g(or)f(write)g
42723 (\(since)h(the)g(de\014nition)472 5583 y(of)i(\014le)f(names)g(is)g
42724 (mac)m(hine)g(dep)s(enden)m(t\).)1817 5953 y(262)p eop
42725 %%Page: 263 269
42726 263 268 bop 0 -110 825 9 v 0 115 9 225 v 79 30 a Fq(KK)52
42727 b(=)f(KLU\(I,J\))p 816 115 V 0 123 825 9 v 0 255 a Fo(Purp)s(ose:)d
42728 Fw(to)36 b(pro)m(vide)h(v)-5 b(arious)36 b(in)m(teger-v)-5
42729 b(alued)35 b(ev)m(en)m(t)k(data.)55 b(Note)37 b(that)f(man)m(y)h(of)f
42730 (the)h(options)472 363 y(a)m(v)-5 b(ailable)26 b(\(in)h(particular)f
42731 Fq(I)p Fj(>)i Fw(0,)g Fq(J)p Fn(\025)h Fw(14\))e(whic)m(h)h(refer)g(to)
42732 g(ev)m(en)m(t)i(history)d(will)f(not)i(w)m(ork)472 472
42733 y(after)35 b(a)g Fq(LUEDIT)i Fw(call.)49 b(F)-8 b(urther,)36
42734 b(the)g(options)e(14{18)g(dep)s(end)i(on)f(the)h(w)m(a)m(y)g(the)g(ev)m
42735 (en)m(t)472 580 y(history)25 b(has)h(b)s(een)f(set)h(up,)h(so)e(with)g
42736 (the)g(explosion)f(of)h(di\013eren)m(t)g(allo)m(w)m(ed)f(formats)g
42737 (these)472 688 y(options)35 b(are)f(no)h(longer)f(as)h(safe)g(as)g
42738 (they)g(ma)m(y)g(ha)m(v)m(e)h(b)s(een.)51 b(F)-8 b(or)34
42739 b(instance,)h(option)f(16)472 797 y(can)f(only)f(w)m(ork)i(if)k
42740 Fq(MSTU\(16\)=2)p Fw(.)0 905 y Fq(I=0,)52 b(J=)g(:)c
42741 Fw(prop)s(erties)32 b(referring)g(to)g(the)h(complete)f(ev)m(en)m(t.)
42742 236 1013 y Fq(=)52 b(1)f(:)217 b(N)p Fw(,)33 b(total)e(n)m(um)m(b)s(er)
42743 i(of)f(lines)f(in)h(ev)m(en)m(t)j(record.)236 1122 y
42744 Fq(=)52 b(2)f(:)217 b Fw(total)28 b(n)m(um)m(b)s(er)i(of)g
42745 (partons/particles)f(remaining)e(after)j(fragmen)m(tation)e(and)h(de-)
42746 709 1230 y(ca)m(y)-8 b(.)236 1338 y Fq(=)52 b(6)f(:)217
42747 b Fw(three)33 b(times)f(the)h(total)e(c)m(harge)i(of)f(remaining)e
42748 (\(stable\))i(partons)h(and)g(particles.)0 1447 y Fq(I>0,)52
42749 b(J=)g(:)c Fw(prop)s(erties)32 b(referring)g(to)g(the)h(en)m(try)h(in)e
42750 (line)f(no.)43 b Fq(I)33 b Fw(of)f(the)h(ev)m(en)m(t)i(record.)236
42751 1555 y Fq(=)52 b(1)f(-)h(5)f(:)d(K\(I,1\))53 b(-)e(K\(I,5\))p
42752 Fw(,)35 b(i.e.)43 b(parton/particle)31 b(status)i(KS,)g(\015a)m(v)m
42753 (our)g(co)s(de)g(KF)f(and)709 1663 y(origin/deca)m(y)f(pro)s
42754 (duct/colour-\015o)m(w)h(information.)236 1772 y Fq(=)52
42755 b(6)f(:)217 b Fw(three)33 b(times)f(parton/particle)e(c)m(harge.)236
42756 1880 y Fq(=)52 b(7)f(:)217 b Fw(1)37 b(for)h(a)g(remaining)d(en)m(try)
42757 -8 b(,)41 b(0)d(for)f(a)h(deca)m(y)m(ed,)k(fragmen)m(ted)c(or)f(do)s
42758 (cumen)m(tation)709 1988 y(en)m(try)-8 b(.)236 2097 y
42759 Fq(=)52 b(8)f(:)217 b Fw(KF)32 b(co)s(de)g(\()p Fq(K\(I,2\))p
42760 Fw(\))i(for)e(a)g(remaining)e(en)m(try)-8 b(,)34 b(0)e(for)g(a)g(deca)m
42761 (y)m(ed,)j(fragmen)m(ted)d(or)709 2205 y(do)s(cumen)m(tation)f(en)m
42762 (try)-8 b(.)236 2313 y Fq(=)52 b(9)f(:)217 b Fw(KF)39
42763 b(co)s(de)h(\()p Fq(K\(I,2\))p Fw(\))h(for)e(a)g(parton)g(\(i.e.)64
42764 b(not)39 b(colour)g(neutral)g(en)m(try\),)j(0)e(for)f(a)709
42765 2422 y(particle.)236 2530 y Fq(=)52 b(10)g(:)165 b Fw(KF)23
42766 b(co)s(de)i(\()p Fq(K\(I,2\))p Fw(\))h(for)e(a)g(particle)f(\(i.e.)40
42767 b(colour)24 b(neutral)f(en)m(try\),)28 b(0)c(for)g(a)g(parton.)236
42768 2638 y Fq(=)52 b(11)g(:)165 b Fw(compressed)34 b(\015a)m(v)m(our)f(co)s
42769 (de)g(K)m(C.)236 2747 y Fq(=)52 b(12)g(:)165 b Fw(colour)32
42770 b(information)f(co)s(de,)j(i.e.)46 b(0)33 b(for)g(colour)g(neutral,)g
42771 (1)g(for)g(colour)g(triplet,)f(-1)709 2855 y(for)g(an)m(titriplet)e
42772 (and)j(2)f(for)g(o)s(ctet.)236 2963 y Fq(=)52 b(13)g(:)165
42773 b Fw(\015a)m(v)m(our)29 b(of)e(`hea)m(viest')i(quark)g(or)f(an)m
42774 (tiquark)g(\(i.e.)42 b(with)27 b(largest)h(co)s(de\))g(in)f(hadron)709
42775 3072 y(or)32 b(diquark)h(\(including)d(sign)i(for)g(an)m(tiquark\),)h
42776 (0)f(else.)236 3180 y Fq(=)52 b(14)g(:)165 b Fw(generation)48
42777 b(n)m(um)m(b)s(er.)92 b(Beam)48 b(particles)g(or)g(virtual)f(exc)m
42778 (hange)k(particles)c(are)709 3289 y(generation)31 b(0,)g(original)e
42779 (jets/particles)i(generation)g(1)h(and)g(then)g(1)f(is)h(added)g(for)
42780 709 3397 y(eac)m(h)h(step)h(in)d(the)i(fragmen)m(tation/deca)m(y)f(c)m
42781 (hain.)236 3505 y Fq(=)52 b(15)g(:)165 b Fw(line)35 b(n)m(um)m(b)s(er)j
42782 (of)e(ancestor,)j(i.e.)57 b(predecessor)39 b(in)d(\014rst)i(generation)
42783 e(\(generation)709 3614 y(0)c(en)m(tries)h(are)g(disregarded\).)236
42784 3722 y Fq(=)52 b(16)g(:)165 b Fw(rank)43 b(of)g(a)g(hadron)g(in)g(the)h
42785 (jet)f(it)f(b)s(elongs)h(to.)76 b(Rank)43 b(denotes)i(the)e(ordering)
42786 709 3830 y(in)36 b(\015a)m(v)m(our)i(space,)h(with)d(hadrons)i(con)m
42787 (taining)d(the)i(original)d(\015a)m(v)m(our)k(of)e(the)h(jet)709
42788 3939 y(ha)m(ving)27 b(rank)i(1,)g(increasing)e(b)m(y)i(1)f(for)f(eac)m
42789 (h)i(step)g(a)m(w)m(a)m(y)h(in)d(\015a)m(v)m(our)i(ordering.)41
42790 b(All)709 4047 y(deca)m(y)f(pro)s(ducts)g(inherit)d(the)i(rank)h(of)e
42791 (their)g(paren)m(t.)63 b(Whereas)41 b(the)e(meaning)709
42792 4155 y(of)29 b(a)g(\014rst-rank)i(hadron)e(in)g(a)h(quark)g(jet)g(is)f
42793 (alw)m(a)m(ys)i(w)m(ell-de\014ned,)f(the)g(de\014nition)709
42794 4264 y(of)k(higher)g(ranks)h(is)g(only)f(meaningful)e(for)i(indep)s
42795 (enden)m(tly)i(fragmen)m(ting)d(quark)709 4372 y(jets.)44
42796 b(In)32 b(other)h(cases,)h(rank)f(refers)g(to)f(the)h(ordering)e(in)h
42797 (the)h(actual)e(sim)m(ulation,)709 4480 y(whic)m(h)i(ma)m(y)f(b)s(e)h
42798 (of)f(little)e(in)m(terest.)236 4589 y Fq(=)52 b(17)g(:)165
42799 b Fw(generation)28 b(n)m(um)m(b)s(er)i(after)e(a)h(collapse)f(of)h(a)g
42800 (jet)g(system)h(in)m(to)e(one)h(particle,)g(with)709
42801 4697 y(0)d(for)h(an)g(en)m(try)h(not)f(coming)f(from)g(a)g(collapse,)i
42802 (and)f(-1)f(for)h(en)m(try)h(with)f(unkno)m(wn)709 4805
42803 y(history)-8 b(.)48 b(A)35 b(particle)e(formed)h(in)g(a)g(collapse)f
42804 (is)h(generation)g(1,)h(and)f(then)h(one)g(is)709 4914
42805 y(added)e(in)f(eac)m(h)h(deca)m(y)h(step.)236 5022 y
42806 Fq(=)52 b(18)g(:)165 b Fw(n)m(um)m(b)s(er)47 b(of)f(deca)m(y/fragmen)m
42807 (tation)f(pro)s(ducts)j(\(only)d(de\014ned)j(in)e(a)g(collectiv)m(e)709
42808 5130 y(sense)34 b(for)e(fragmen)m(tation\).)236 5239
42809 y Fq(=)52 b(19)g(:)165 b Fw(origin)30 b(of)i(colour)g(for)g(sho)m(w)m
42810 (ering)h(parton,)g(0)f(else.)236 5347 y Fq(=)52 b(20)g(:)165
42811 b Fw(origin)30 b(of)i(an)m(ticolour)f(for)h(sho)m(w)m(ering)h(parton,)g
42812 (0)f(else.)236 5455 y Fq(=)52 b(21)g(:)165 b Fw(p)s(osition)30
42813 b(of)j(colour)e(daugh)m(ter)i(for)f(sho)m(w)m(ering)i(parton,)e(0)g
42814 (else.)236 5564 y Fq(=)52 b(22)g(:)165 b Fw(p)s(osition)30
42815 b(of)j(an)m(ticolour)d(daugh)m(ter)k(for)e(sho)m(w)m(ering)h(parton,)f
42816 (0)h(else.)1817 5953 y(263)p eop
42817 %%Page: 264 270
42818 264 269 bop 0 -110 825 9 v 0 115 9 225 v 79 30 a Fq(PP)52
42819 b(=)f(PLU\(I,J\))p 816 115 V 0 123 825 9 v 0 255 a Fo(Purp)s(ose:)d
42820 Fw(to)g(pro)m(vide)h(v)-5 b(arious)47 b(real-v)-5 b(alued)47
42821 b(ev)m(en)m(t)j(data.)91 b(Note)49 b(that)f(some)g(of)g(the)h(options)
42822 472 363 y(a)m(v)-5 b(ailable)23 b(\()p Fq(I)p Fj(>)28
42823 b Fw(0,)e Fq(J)p Fw(=)i(20{25\),)d(whic)m(h)h(are)f(primarily)d(in)m
42824 (tended)j(for)g(studies)g(of)g(systems)472 472 y(in)34
42825 b(their)g(resp)s(ectiv)m(e)h(c.m.)49 b(frame,)33 b(requires)i(that)f(a)
42826 g Fq(LUEXEC)i Fw(call)d(has)h(b)s(een)h(made)f(for)472
42827 580 y(the)43 b(curren)m(t)g(initial)38 b(parton/particle)i
42828 (con\014guration,)j(but)g(that)e(the)i(latest)e Fq(LUEXEC)472
42829 688 y Fw(call)31 b(has)i(not)g(b)s(een)g(follo)m(w)m(ed)f(b)m(y)h(a)f
42830 Fq(LUROBO)j Fw(one.)0 797 y Fq(I=0,)52 b(J=)g(:)c Fw(prop)s(erties)32
42831 b(referring)g(to)g(the)h(complete)f(ev)m(en)m(t.)236
42832 905 y Fq(=)52 b(1)f(-)h(4)f(:)d Fw(sum)32 b(of)g Fj(p)1111
42833 920 y Fh(x)1155 905 y Fw(,)h Fj(p)1264 920 y Fh(y)1305
42834 905 y Fw(,)g Fj(p)1414 920 y Fh(z)1486 905 y Fw(and)g
42835 Fj(E)6 b Fw(,)32 b(resp)s(ectiv)m(ely)-8 b(,)34 b(for)e(the)h(stable)f
42836 (remaining)f(en)m(tries.)236 1013 y Fq(=)52 b(5)f(:)217
42837 b Fw(in)m(v)-5 b(arian)m(t)31 b(mass)h(of)g(the)h(stable)g(remaining)d
42838 (en)m(tries.)236 1122 y Fq(=)52 b(6)f(:)217 b Fw(sum)32
42839 b(of)g(electric)g(c)m(harge)h(of)g(the)g(stable)f(remaining)e(en)m
42840 (tries.)0 1230 y Fq(I>0,)52 b(J=)g(:)c Fw(prop)s(erties)32
42841 b(referring)g(to)g(the)h(en)m(try)h(in)e(line)f(no.)43
42842 b Fq(I)33 b Fw(of)f(the)h(ev)m(en)m(t)i(record.)236 1338
42843 y Fq(=)52 b(1)f(-)h(5)f(:)d(P\(I,1\))53 b(-)e(P\(I,5\))p
42844 Fw(,)34 b(i.e.)43 b(normally)31 b Fj(p)2200 1353 y Fh(x)2243
42845 1338 y Fw(,)i Fj(p)2352 1353 y Fh(y)2393 1338 y Fw(,)g
42846 Fj(p)2502 1353 y Fh(z)2542 1338 y Fw(,)f Fj(E)39 b Fw(and)33
42847 b Fj(m)g Fw(for)f(jet/particle.)236 1447 y Fq(=)52 b(6)f(:)217
42848 b Fw(electric)32 b(c)m(harge)h Fj(e)p Fw(.)236 1555 y
42849 Fq(=)52 b(7)f(:)217 b Fw(squared)34 b(momen)m(tum)d Fn(j)p
42850 Fo(p)p Fn(j)1700 1519 y Fl(2)1766 1555 y Fw(=)d Fj(p)1919
42851 1519 y Fl(2)1919 1580 y Fh(x)1985 1555 y Fw(+)22 b Fj(p)2132
42852 1519 y Fl(2)2132 1580 y Fh(y)2196 1555 y Fw(+)g Fj(p)2343
42853 1519 y Fl(2)2343 1580 y Fh(z)2382 1555 y Fw(.)236 1676
42854 y Fq(=)52 b(8)f(:)217 b Fw(absolute)32 b(momen)m(tum)f
42855 Fn(j)p Fo(p)p Fn(j)p Fw(.)236 1784 y Fq(=)52 b(9)f(:)217
42856 b Fw(squared)34 b(transv)m(erse)g(momen)m(tum)d Fj(p)2092
42857 1748 y Fl(2)2092 1809 y Fk(?)2179 1784 y Fw(=)d Fj(p)2332
42858 1748 y Fl(2)2332 1809 y Fh(x)2398 1784 y Fw(+)22 b Fj(p)2545
42859 1748 y Fl(2)2545 1809 y Fh(y)2586 1784 y Fw(.)236 1892
42860 y Fq(=)52 b(10)g(:)165 b Fw(transv)m(erse)34 b(momen)m(tum)e
42861 Fj(p)1732 1907 y Fk(?)1791 1892 y Fw(.)236 2001 y Fq(=)52
42862 b(11)g(:)165 b Fw(squared)34 b(transv)m(erse)g(mass)f
42863 Fj(m)1856 1964 y Fl(2)1856 2025 y Fk(?)1943 2001 y Fw(=)27
42864 b Fj(m)2131 1964 y Fl(2)2193 2001 y Fw(+)22 b Fj(p)2340
42865 1964 y Fl(2)2340 2025 y Fh(x)2406 2001 y Fw(+)g Fj(p)2553
42866 1964 y Fl(2)2553 2025 y Fh(y)2595 2001 y Fw(.)236 2109
42867 y Fq(=)52 b(12)g(:)165 b Fw(transv)m(erse)34 b(mass)f
42868 Fj(m)1495 2124 y Fk(?)1554 2109 y Fw(.)236 2217 y Fq(=)52
42869 b(13)g(-)f(14)h(:)47 b Fw(p)s(olar)31 b(angle)h Fj(\022)k
42870 Fw(in)c(radians)g(\(b)s(et)m(w)m(een)i(0)e(and)h Fj(\031)t
42871 Fw(\))f(or)h(degrees,)h(resp)s(ectiv)m(ely)-8 b(.)236
42872 2326 y Fq(=)52 b(15)g(-)f(16)h(:)47 b Fw(azim)m(uthal)30
42873 b(angle)g Fj(')h Fw(in)g(radians)f(\(b)s(et)m(w)m(een)k
42874 Fn(\000)p Fj(\031)h Fw(and)d Fj(\031)t Fw(\))f(or)g(degrees,)i(resp)s
42875 (ec-)709 2434 y(tiv)m(ely)-8 b(.)236 2542 y Fq(=)52 b(17)g(:)165
42876 b Fw(true)33 b(rapidit)m(y)e Fj(y)g Fw(=)c(\(1)p Fj(=)p
42877 Fw(2\))33 b(ln)o(\(\()p Fj(E)28 b Fw(+)22 b Fj(p)2125
42878 2557 y Fh(z)2165 2542 y Fw(\))p Fj(=)p Fw(\()p Fj(E)28
42879 b Fn(\000)22 b Fj(p)2538 2557 y Fh(z)2578 2542 y Fw(\)\).)236
42880 2651 y Fq(=)52 b(18)g(:)165 b Fw(rapidit)m(y)30 b Fj(y)1124
42881 2666 y Fh(\031)1202 2651 y Fw(obtained)g(b)m(y)i(assuming)f(that)g(the)
42882 g(particle)f(is)h(a)g(pion)f(when)i(calcu-)709 2759 y(lating)27
42883 b(the)j(energy)h Fj(E)6 b Fw(,)31 b(to)e(b)s(e)h(used)h(in)e(the)h
42884 (form)m(ula)e(ab)s(o)m(v)m(e,)j(from)e(the)h(\(assumed)709
42885 2867 y(kno)m(wn\))k(momen)m(tum)d Fo(p)p Fw(.)236 2976
42886 y Fq(=)52 b(19)g(:)165 b Fw(pseudorapidit)m(y)32 b Fj(\021)g
42887 Fw(=)27 b(\(1)p Fj(=)p Fw(2\))33 b(ln)o(\(\()p Fj(p)22
42888 b Fw(+)g Fj(p)2184 2991 y Fh(z)2224 2976 y Fw(\))p Fj(=)p
42889 Fw(\()p Fj(p)f Fn(\000)i Fj(p)2568 2991 y Fh(z)2608 2976
42890 y Fw(\)\).)236 3084 y Fq(=)52 b(20)g(:)165 b Fw(momen)m(tum)31
42891 b(fraction)g Fj(x)1636 3099 y Fh(p)1704 3084 y Fw(=)d(2)p
42892 Fn(j)p Fo(p)p Fn(j)p Fj(=W)14 b Fw(,)31 b(where)j Fj(W)46
42893 b Fw(is)32 b(the)h(total)e(energy)j(of)e(initial)709
42894 3192 y(jet/particle)f(con\014guration.)236 3301 y Fq(=)52
42895 b(21)g(:)165 b Fj(x)764 3316 y Fl(F)842 3301 y Fw(=)27
42896 b(2)p Fj(p)1043 3316 y Fh(z)1083 3301 y Fj(=W)46 b Fw(\(F)-8
42897 b(eynman-)p Fj(x)32 b Fw(if)g(system)h(is)f(studied)h(in)f(the)h(c.m.)
42898 43 b(frame\).)236 3409 y Fq(=)52 b(22)g(:)165 b Fj(x)764
42899 3424 y Fk(?)851 3409 y Fw(=)27 b(2)p Fj(p)1052 3424 y
42900 Fk(?)1111 3409 y Fj(=W)14 b Fw(.)236 3517 y Fq(=)52 b(23)g(:)165
42901 b Fj(x)764 3532 y Fh(E)851 3517 y Fw(=)28 b(2)p Fj(E)6
42902 b(=W)14 b Fw(.)236 3626 y Fq(=)52 b(24)g(:)165 b Fj(z)754
42903 3641 y Fl(+)841 3626 y Fw(=)27 b(\()p Fj(E)h Fw(+)22
42904 b Fj(p)1229 3641 y Fh(z)1269 3626 y Fw(\))p Fj(=W)14
42905 b Fw(.)236 3734 y Fq(=)52 b(25)g(:)165 b Fj(z)754 3749
42906 y Fk(\000)841 3734 y Fw(=)27 b(\()p Fj(E)h Fn(\000)23
42907 b Fj(p)1231 3749 y Fh(z)1271 3734 y Fw(\))p Fj(=W)14
42908 b Fw(.)0 4008 y Fp(14.4)136 b(The)44 b(General)i(Switc)l(hes)f(and)g(P)
42909 l(arameters)0 4181 y Fw(The)38 b(common)f(blo)s(c)m(k)g
42910 Fq(LUDAT1)i Fw(is,)g(next)f(to)f Fq(LUJETS)p Fw(,)i(the)f(one)g(a)f
42911 Fm(Jetset)g Fw(user)h(is)f(most)g(lik)m(ely)g(to)0 4289
42912 y(access.)47 b(Here)34 b(one)f(ma)m(y)g(con)m(trol)g(in)f(detail)g
42913 (what)h(the)h(program)e(is)g(to)h(do,)g(if)f(the)i(default)f(mo)s(de)f
42914 (of)0 4397 y(op)s(eration)f(is)h(not)h(satisfactory)-8
42915 b(.)p 0 4542 2876 9 v 0 4766 9 225 v 79 4682 a Fq
42916 (COMMON/LUDAT1/MSTU\(200\),)q(PARU)q(\(200)q(\),MS)q(TJ\()q(200\))q
42917 (,PAR)q(J\(20)q(0\))p 2867 4766 V 0 4774 2876 9 v 0 4906
42918 a Fo(Purp)s(ose:)48 b Fw(to)31 b(giv)m(e)h(access)i(to)d(a)h(n)m(um)m
42919 (b)s(er)g(of)f(status)i(co)s(des)g(and)f(parameters)f(whic)m(h)i
42920 (regulate)e(the)472 5015 y(p)s(erformance)39 b(of)f(the)i(program)d(as)
42921 i(a)g(whole.)62 b(Here)40 b Fq(MSTU)g Fw(and)f Fq(PARU)g
42922 Fw(are)g(related)g(to)472 5123 y(utilit)m(y)22 b(functions,)j(as)e(w)m
42923 (ell)f(as)i(a)e(few)i(parameters)f(of)g(the)g(Standard)h(Mo)s(del,)g
42924 (while)e Fq(MSTJ)472 5231 y Fw(and)34 b Fq(PARJ)g Fw(a\013ect)g(the)g
42925 (underlying)e(ph)m(ysics)j(assumptions.)46 b(Some)33
42926 b(of)f(the)i(v)-5 b(ariables)32 b(in)472 5340 y Fq(LUDAT1)47
42927 b Fw(are)f(describ)s(ed)g(elsewhere,)k(and)45 b(are)h(therefore)g(here)
42928 g(only)f(repro)s(duced)h(as)472 5448 y(references)30
42929 b(to)d(the)h(relev)-5 b(an)m(t)27 b(sections.)43 b(This)27
42930 b(in)g(particular)f(applies)g(to)h(man)m(y)h(coupling)472
42931 5556 y(constan)m(ts)36 b(mainly)d(used)i(b)m(y)i Fm(Pythia)p
42932 Fw(,)e(whic)m(h)h(are)e(found)h(just)g(after)f(this,)h(in)e(section)472
42933 5665 y(14.5.)1817 5953 y(264)p eop
42934 %%Page: 265 271
42935 265 270 bop 0 -18 a Fq(MSTU\(1\),MSTU\(2\))55 b(:)48
42936 b Fw(\(D=0,0\))28 b(can)j(b)s(e)f(used)h(to)e(replace)h(the)g(ordinary)
42937 f(lo)m(w)m(er)h(and)g(upp)s(er)h(limits)472 90 y(\(normally)39
42938 b(1)h(and)h Fq(N)p Fw(\))g(for)f(the)h(action)f(of)47
42939 b Fq(LUROBO)p Fw(,)c(and)e(most)f Fq(LUEDIT)i Fw(and)f
42940 Fq(LULIST)472 198 y Fw(calls.)i(Are)33 b(reset)g(to)f(0)h(in)f(a)g
42941 Fq(LUEXEC)i Fw(call.)0 307 y Fq(MSTU\(3\))53 b(:)48 b
42942 Fw(\(D=0\))34 b(n)m(um)m(b)s(er)h(of)g(lines)f(with)h(extra)g
42943 (information)d(added)k(after)f(line)f Fq(N)p Fw(.)h(Is)h(reset)g(to)472
42944 415 y(0)d(in)f(a)g Fq(LUEXEC)i Fw(call,)d(or)h(in)g(an)g
42945 Fq(LUEDIT)j Fw(call)30 b(when)k(particles)e(are)g(remo)m(v)m(ed.)0
42946 523 y Fq(MSTU\(4\))53 b(:)48 b Fw(\(D=4000\))c(n)m(um)m(b)s(er)j(of)f
42947 (lines)f(a)m(v)-5 b(ailable)44 b(in)i(the)h(common)e(blo)s(c)m(k)h
42948 Fq(LUJETS)p Fw(.)i(Should)472 632 y(alw)m(a)m(ys)d(b)s(e)f(c)m(hanged)h
42949 (if)d(the)i(dimensions)f(of)h(the)g Fq(K)g Fw(and)g Fq(P)g
42950 Fw(arra)m(ys)g(are)g(c)m(hanged)h(b)m(y)472 740 y(the)38
42951 b(user,)h(but)e(should)g(otherwise)h(nev)m(er)g(b)s(e)f(touc)m(hed.)58
42952 b(Maxim)m(um)36 b(allo)m(w)m(ed)h(v)-5 b(alue)36 b(is)472
42953 848 y(10000,)c(unless)h Fq(MSTU\(5\))i Fw(is)d(also)f(c)m(hanged.)0
42954 957 y Fq(MSTU\(5\))53 b(:)48 b Fw(\(D=10000\))35 b(is)h(used)i(in)e
42955 (building)f(up)i(the)g(sp)s(ecial)f(colour-\015o)m(w)g(information)e
42956 (stored)472 1065 y(in)h Fq(K\(I,4\))h Fw(and)f Fq(K\(I,5\))i
42957 Fw(for)d Fq(K\(I,3\)=)j Fw(3,)e(13)g(or)f(14.)51 b(The)36
42958 b(generic)f(form)e(for)i Fq(j=)g Fw(4)g(or)472 1173 y(5)e(is)472
42959 1282 y Fq(K\(I,j\))p Fw(=)d(2)p Fn(\002)p Fq(MSTU\(5\))1367
42960 1245 y Fl(2)1408 1282 y Fn(\002)p Fw(MCFR+)p Fq(MSTU\(5\))2213
42961 1245 y Fl(2)2255 1282 y Fn(\002)p Fw(MCTO+)p Fq(MSTU\(5\))p
42962 Fn(\002)p Fw(ICFR+ICTO,)472 1390 y(with)38 b(notation)f(as)h(in)f
42963 (section)h(5.2.)60 b(One)38 b(should)g(alw)m(a)m(ys)h(ha)m(v)m(e)g
42964 Fq(MSTU\(5\))p Fn(\025)p Fq(MSTU\(4\))p Fw(.)472 1498
42965 y(On)34 b(a)g(32)f(bit)g(mac)m(hine,)g(v)-5 b(alues)34
42966 b Fq(MSTU\(5\))p Fj(>)d Fw(20000)i(ma)m(y)g(lead)g(to)h(o)m(v)m
42967 (er\015o)m(w)h(problems,)472 1607 y(and)e(should)g(b)s(e)f(a)m(v)m
42968 (oided.)0 1715 y Fq(MSTU\(6\))53 b(:)48 b Fw(\(D=500\))38
42969 b(n)m(um)m(b)s(er)i(of)g(K)m(C)g(co)s(des)h(a)m(v)-5
42970 b(ailable)38 b(in)h(the)h Fq(KCHG)p Fw(,)h Fq(PMAS)p
42971 Fw(,)g Fq(MDCY)p Fw(,)g(and)f Fq(CHAF)472 1823 y Fw(arra)m(ys;)34
42972 b(should)e(b)s(e)h(c)m(hanged)h(if)d(these)j(dimensions)e(are)g(c)m
42973 (hanged.)0 1932 y Fq(MSTU\(7\))53 b(:)48 b Fw(\(D=2000\))40
42974 b(n)m(um)m(b)s(er)j(of)f(deca)m(y)h(c)m(hannels)g(a)m(v)-5
42975 b(ailable)40 b(in)i(the)g Fq(MDME)p Fw(,)i Fq(BRAT)f
42976 Fw(and)f Fq(KFDP)472 2040 y Fw(arra)m(ys;)34 b(should)e(b)s(e)h(c)m
42977 (hanged)h(if)d(these)j(dimensions)e(are)g(c)m(hanged.)0
42978 2148 y Fq(MSTU\(10\))53 b(:)48 b Fw(\(D=2\))e(use)i(of)e
42979 (parton/particle)f(masses)j(in)e(\014lling)f(routines)h(\()p
42980 Fq(LU1ENT)p Fw(,)j Fq(LU2ENT)p Fw(,)472 2257 y Fq(LU3ENT)p
42981 Fw(,)35 b Fq(LU4ENT)p Fw(\).)236 2365 y Fq(=)52 b(0)f(:)217
42982 b Fw(assume)33 b(the)g(mass)f(to)h(b)s(e)f(zero.)236
42983 2473 y Fq(=)52 b(1)f(:)217 b Fw(k)m(eep)31 b(the)g(mass)f(v)-5
42984 b(alue)29 b(stored)i(in)e Fq(P\(I,5\))p Fw(,)j(whatev)m(er)g(it)d(is.)
42985 42 b(\(This)30 b(ma)m(y)g(b)s(e)g(used)709 2582 y(e.g.)43
42986 b(to)33 b(describ)s(e)g(kinematics)e(with)i(o\013-mass-shell)d
42987 (partons\).)236 2690 y Fq(=)52 b(2)f(:)217 b Fw(\014nd)33
42988 b(masses)g(according)f(to)g(mass)h(tables)f(as)h(usual.)0
42989 2798 y Fq(MSTU\(11\))53 b(:)48 b Fw(\(D=6\))39 b(\014le)g(n)m(um)m(b)s
42990 (er)h(to)f(whic)m(h)h(all)e(program)g(output)i(is)f(directed.)65
42991 b(It)40 b(is)f(y)m(our)i(re-)472 2907 y(sp)s(onsibilit)m(y)31
42992 b(to)h(see)i(to)e(it)g(that)g(the)h(corresp)s(onding)g(\014le)f(is)g
42993 (also)g(op)s(ened)h(for)f(output.)0 3015 y Fq(MSTU\(12\))53
42994 b(:)48 b Fw(\(D=1\))d(writing)g(of)h(title)f(page)h(\(v)m(ersion)h(n)m
42995 (um)m(b)s(er)g(and)g(last)e(date)i(of)f(c)m(hange)h(for)472
42996 3123 y Fm(Pythia)33 b Fw(and)g Fm(Jetset)p Fw(\))e(on)i(output)g
42997 (\014le.)236 3232 y Fq(=)52 b(0)f(:)217 b Fw(not)32 b(done.)236
42998 3340 y Fq(=)52 b(1)f(:)217 b Fw(title)30 b(page)j(is)f(written)g(at)g
42999 (\014rst)h(o)s(ccasion,)f(at)g(whic)m(h)g(time)f Fq(MSTU\(12\))k
43000 Fw(is)d(set)h(=0.)0 3448 y Fq(MSTU\(13\))53 b(:)48 b
43001 Fw(\(D=1\))56 b(writing)f(of)i(information)c(on)k(v)-5
43002 b(ariable)56 b(v)-5 b(alues)56 b(c)m(hanged)i(b)m(y)g(a)f
43003 Fq(LUGIVE)472 3557 y Fw(call.)236 3665 y Fq(=)52 b(0)f(:)217
43004 b Fw(no)32 b(information)e(is)i(pro)m(vided.)236 3774
43005 y Fq(=)52 b(1)f(:)217 b Fw(information)29 b(is)j(written)h(to)f
43006 (standard)h(output.)0 3882 y Fq(MSTU\(14\))53 b(:)48
43007 b Fw(\(D=0\))32 b(if)f(non-zero,)i(this)g(giv)m(es)g(the)g(maxim)m(um)e
43008 (\015a)m(v)m(our)j(for)e(whic)m(h)h(a)g Fq(LULIST\(12\))472
43009 3990 y Fw(call)c(will)e(giv)m(e)j(particle)e(data)i(on)g(p)s(ossible)f
43010 (hadrons.)43 b(With)29 b Fq(MSTU\(14\)=5)k Fw(only)c(kno)m(wn)472
43011 4099 y(hadrons,)h(i.e.)41 b(up)29 b(to)e(b)s(ottom,)h(are)g(listed.)41
43012 b(If)35 b Fq(=0)p Fw(,)30 b(only)d(separately)h(sp)s(eci\014ed)h
43013 (particles)472 4207 y(are)k(listed)f(\(i.e.)43 b(either)32
43014 b(KF)p Fn(\024)c Fw(100)k(or)g(else)h(b)s(oth)f(KF)p
43015 Fj(>)27 b Fw(100)32 b(and)g(K)m(C)p Fj(>)d Fw(100\).)0
43016 4315 y Fq(MSTU\(15\))53 b(:)48 b Fw(\(D=1\))32 b(selection)h(for)g(c)m
43017 (haracters)h(used)h(in)d(particle)g(names)i(to)f(denote)h(an)f(an)m
43018 (tipar-)472 4424 y(ticle;)f(app)s(ear)g(in)g Fq(LULIST)i
43019 Fw(listings)d(or)h(other)h Fq(LUNAME)h Fw(applications.)236
43020 4532 y Fq(=)52 b(1)f(:)217 b Fw(the)33 b(tilde)e(c)m(haracter)i(`)p
43021 Fn(\030)p Fw('.)236 4640 y Fq(=)52 b(2)f(:)217 b Fw(the)33
43022 b(c)m(haracters)h(`bar'.)0 4749 y Fq(MSTU\(16\))53 b(:)48
43023 b Fw(\(D=1\))26 b(c)m(hoice)i(of)e(mother)h(p)s(oin)m(ters)g(for)g(the)
43024 h(particles)e(pro)s(duced)i(b)m(y)g(a)f(fragmen)m(ting)472
43025 4857 y(parton)33 b(system.)236 4965 y Fq(=)52 b(1)f(:)217
43026 b Fw(all)30 b(primary)g(particles)i(of)f(a)h(system)h(p)s(oin)m(t)e(to)
43027 h(a)g(line)f(with)g(KF)h(=)g(92)f(or)h(93,)g(for)709
43028 5074 y(string)k(or)h(indep)s(enden)m(t)i(fragmen)m(tation,)e(resp)s
43029 (ectiv)m(ely)-8 b(,)39 b(or)e(to)g(a)g(line)f(with)h(KF)709
43030 5182 y(=)f(91)h(if)e(a)i(jet)g(system)g(has)h(so)f(small)d(a)j(mass)g
43031 (that)f(it)g(is)g(forced)i(to)e(deca)m(y)i(in)m(to)709
43032 5290 y(one)31 b(or)h(t)m(w)m(o)g(particles.)42 b(The)33
43033 b(t)m(w)m(o)f(\(or)f(more\))f(sho)m(w)m(er)k(initiators)28
43034 b(of)j(a)h(sho)m(w)m(ering)709 5399 y(parton)41 b(system)h(p)s(oin)m(t)
43035 f(to)g(a)g(line)f(with)h(KF)f(=)h(94.)70 b(The)42 b(en)m(tries)g(with)f
43036 (KF)g(=)709 5507 y(91{94)e(in)h(their)g(turn)h(p)s(oin)m(t)f(bac)m(k)h
43037 (to)g(the)g(predecessor)i(partons,)g(so)e(that)f(the)709
43038 5615 y(KF)32 b(=)g(91{94)f(en)m(tries)j(form)d(a)h(part)h(of)f(the)h
43039 (ev)m(en)m(t)h(history)f(prop)s(er.)1817 5953 y(265)p
43040 eop
43041 %%Page: 266 272
43042 266 271 bop 236 -18 a Fq(=)52 b(2)f(:)217 b Fw(although)29
43043 b(the)h(lines)g(with)f(KF)h(=)g(91{94)f(are)h(presen)m(t,)i(and)f(con)m
43044 (tain)e(the)i(correct)709 90 y(mother)44 b(and)g(daugh)m(ter)i(p)s(oin)
43045 m(ters,)h(they)f(are)e(not)h(part)f(of)g(the)h(ev)m(en)m(t)i(history)
43046 709 198 y(prop)s(er,)32 b(in)f(that)h(particles)f(pro)s(duced)i(in)e
43047 (string)g(fragmen)m(tation)f(p)s(oin)m(t)h(directly)709
43048 307 y(to)26 b(either)g(of)h(the)g(t)m(w)m(o)g(endp)s(oin)m(t)g(partons)
43049 g(of)f(the)h(string)f(\(dep)s(ending)h(on)f(the)h(side)709
43050 415 y(they)36 b(w)m(ere)i(generated)e(from\),)g(particles)f(pro)s
43051 (duced)i(in)e(indep)s(enden)m(t)i(fragmen-)709 523 y(tation)28
43052 b(p)s(oin)m(t)g(to)i(the)g(resp)s(ectiv)m(e)h(parton)e(they)h(w)m(ere)h
43053 (generated)f(from,)f(particles)709 632 y(in)d(small)e(mass)j(systems)h
43054 (p)s(oin)m(t)e(to)g(either)h(endp)s(oin)m(t)g(parton,)g(and)g(sho)m(w)m
43055 (er)i(initia-)709 740 y(tors)37 b(p)s(oin)m(t)f(to)h(the)g(original)d
43056 (on-mass-shell)h(coun)m(terparts.)58 b(Also)37 b(the)g(daugher)709
43057 848 y(p)s(oin)m(ters)c(b)m(ypass)i(the)f(KF)f(=)g(91{94)f(en)m(tries.)
43058 46 b(In)34 b(indep)s(enden)m(t)g(fragmen)m(tation,)709
43059 957 y(a)h(parton)g(need)h(not)f(pro)s(duce)h(an)m(y)g(particles)e(at)h
43060 (all,)f(and)h(then)h(ha)m(v)m(e)h(daugh)m(ter)709 1065
43061 y(p)s(oin)m(ters)32 b(0.)236 1173 y Fo(Note)37 b(:)166
43062 b Fq(MSTU\(16\))30 b Fw(should)e(not)g(b)s(e)h(c)m(hanged)g(b)s(et)m(w)
43063 m(een)i(the)d(generation)g(of)g(an)g(ev)m(en)m(t)i(and)709
43064 1282 y(the)40 b(translation)f(of)h(this)g(ev)m(en)m(t)i(record)f(with)f
43065 (a)g Fq(LUHEPC)h Fw(call,)g(since)g(this)f(ma)m(y)709
43066 1390 y(giv)m(e)32 b(an)h(erroneous)g(translation)e(of)h(the)h(ev)m(en)m
43067 (t)h(history)-8 b(.)0 1498 y Fq(MSTU\(17\))53 b(:)48
43068 b Fw(\(D=0\))34 b(storage)g(option)g(for)g Fq(MSTU\(90\))j
43069 Fw(and)e(asso)s(ciated)g(information)c(on)k Fj(z)40 b
43070 Fw(v)-5 b(alues)472 1607 y(for)32 b(hea)m(vy-\015a)m(v)m(our)j(pro)s
43071 (duction.)236 1715 y Fq(=)52 b(0)f(:)217 b(MSTU\(90\))41
43072 b Fw(is)e(reset)h(to)f(zero)h(at)f(eac)m(h)h Fq(LUEXEC)h
43073 Fw(call.)61 b(This)40 b(is)f(the)g(appropriate)709 1823
43074 y(course)i(if)46 b Fq(LUEXEC)c Fw(is)d(only)h(called)f(once)i(p)s(er)f
43075 (ev)m(en)m(t,)k(as)c(is)g(normally)e(the)j(case)709 1932
43076 y(when)33 b(y)m(ou)h(do)e(not)h(y)m(ourself)f(call)f
43077 Fq(LUEXEC)p Fw(.)236 2040 y Fq(=)52 b(1)f(:)217 b Fw(y)m(ou)31
43078 b(ha)m(v)m(e)i(to)d(reset)i Fq(MSTU\(90\))h Fw(to)e(zero)g(y)m(ourself)
43079 h(b)s(efore)f(eac)m(h)h(new)f(ev)m(en)m(t.)45 b(This)709
43080 2148 y(is)23 b(the)i(appropriate)e(course)j(if)d(sev)m(eral)i
43081 Fq(LUEXEC)g Fw(calls)e(ma)m(y)h(app)s(ear)g(for)g(one)h(ev)m(en)m(t,)
43082 709 2257 y(i.e.)43 b(if)31 b(y)m(ou)i(call)e Fq(LUEXEC)j
43083 Fw(directly)-8 b(.)0 2365 y Fq(MSTU\(19\))53 b(:)48 b
43084 Fw(\(D=0\))30 b(advisory)i(w)m(arning)f(for)g(unph)m(ysical)h(\015a)m
43085 (v)m(our)g(setups)h(in)e Fq(LU2ENT)p Fw(,)i Fq(LU3ENT)g
43086 Fw(or)472 2473 y Fq(LU4ENT)i Fw(calls.)236 2582 y Fq(=)52
43087 b(0)f(:)217 b Fw(y)m(es.)236 2690 y Fq(=)52 b(1)f(:)217
43088 b Fw(no;)32 b Fq(MSTU\(19\))j Fw(is)d(reset)i(to)e(0)g(in)g(suc)m(h)i
43089 (a)e(call.)0 2798 y Fq(MSTU\(21\))53 b(:)48 b Fw(\(D=2\))c(c)m(hec)m(k)
43090 j(on)e(p)s(ossible)f(errors)h(during)f(program)g(execution.)81
43091 b(Ob)m(viously)45 b(no)472 2907 y(guaran)m(tee)35 b(is)f(giv)m(en)g
43092 (that)g(all)e(errors)j(will)d(b)s(e)i(caugh)m(t,)i(but)e(some)g(of)g
43093 (the)g(most)g(trivial)472 3015 y(user-caused)h(errors)e(ma)m(y)f(b)s(e)
43094 h(found.)236 3123 y Fq(=)52 b(0)f(:)217 b Fw(errors)29
43095 b(do)h(not)f(cause)h(an)m(y)g(immediate)d(action,)i(rather)g(the)h
43096 (program)e(will)f(try)j(to)709 3232 y(cop)s(e,)j(whic)m(h)g(ma)m(y)f
43097 (mean)g(e.g.)44 b(that)32 b(it)g(runs)h(in)m(to)f(an)g(in\014nite)g(lo)
43098 s(op.)236 3340 y Fq(=)52 b(1)f(:)217 b Fw(parton/particle)42
43099 b(con\014gurations)h(are)h(c)m(hec)m(k)m(ed)j(for)c(p)s(ossible)g
43100 (errors.)77 b(In)45 b(case)709 3448 y(of)34 b(problem,)h(an)g(exit)g
43101 (is)f(made)h(from)f(the)h(misb)s(eha)m(ving)f(subprogram,)i(but)f(the)
43102 709 3557 y(generation)23 b(of)h(the)h(ev)m(en)m(t)i(is)d(con)m(tin)m
43103 (ued)h(from)e(there)i(on.)41 b(F)-8 b(or)24 b(the)g(\014rst)h
43104 Fq(MSTU\(22\))709 3665 y Fw(errors)33 b(a)f(a)g(message)h(is)f(prin)m
43105 (ted;)h(after)f(that)h(no)f(messages)i(app)s(ear.)236
43106 3774 y Fq(=)52 b(2)f(:)217 b Fw(parton/particle)31 b(con\014gurations)h
43107 (are)h(c)m(hec)m(k)m(ed)i(for)d(p)s(ossible)g(errors.)44
43108 b(In)33 b(case)h(of)709 3882 y(problem,)41 b(an)g(exit)f(is)h(made)f
43109 (from)f(the)i(misb)s(eha)m(ving)f(subprogram,)i(and)f(sub-)709
43110 3990 y(sequen)m(tly)f(from)d Fq(LUEXEC)p Fw(.)i(Y)-8
43111 b(ou)39 b(ma)m(y)f(then)g(c)m(ho)s(ose)h(to)f(correct)h(the)g(error,)g
43112 (and)709 4099 y(con)m(tin)m(ue)g(the)g(execution)g(b)m(y)h(another)e
43113 Fq(LUEXEC)j Fw(call.)59 b(F)-8 b(or)38 b(the)h(\014rst)g
43114 Fq(MSTU\(22\))709 4207 y Fw(errors)34 b(a)h(message)f(is)g(prin)m(ted,)
43115 i(after)e(that)g(the)h(last)e(ev)m(en)m(t)k(is)d(prin)m(ted)g(and)h
43116 (exe-)709 4315 y(cution)d(is)g(stopp)s(ed.)0 4424 y Fq(MSTU\(22\))53
43117 b(:)48 b Fw(\(D=10\))31 b(maxim)m(um)f(n)m(um)m(b)s(er)j(of)g(errors)f
43118 (that)h(are)f(prin)m(ted.)0 4532 y Fq(MSTU\(23\))53 b(:)48
43119 b Fw(\(I\))32 b(coun)m(t)i(of)e(n)m(um)m(b)s(er)h(of)f(errors)h(exp)s
43120 (erienced)h(to)e(date.)0 4640 y Fq(MSTU\(24\))53 b(:)48
43121 b Fw(\(R\))31 b(t)m(yp)s(e)h(of)f(latest)g(error)h(exp)s(erienced;)h
43122 (reason)f(that)f(ev)m(en)m(t)i(w)m(as)g(not)e(generated)h(in)472
43123 4749 y(full.)42 b(Is)33 b(reset)h(at)e(eac)m(h)i Fq(LUEXEC)g
43124 Fw(call.)236 4857 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(error)h(exp)s
43125 (erienced.)236 4965 y Fq(=)52 b(1)f(:)217 b Fw(ha)m(v)m(e)34
43126 b(reac)m(hed)g(end)f(of)f(or)g(are)h(writing)e(outside)h
43127 Fq(LUJETS)i Fw(memory)-8 b(.)236 5074 y Fq(=)52 b(2)f(:)217
43128 b Fw(unkno)m(wn)38 b(\015a)m(v)m(our)f(co)s(de)g(or)f(unph)m(ysical)g
43129 (com)m(bination)f(of)h(co)s(des;)j(ma)m(y)d(also)f(b)s(e)709
43130 5182 y(caused)f(b)m(y)f(erroneous)h(string)d(connection)i(information.)
43131 236 5290 y Fq(=)52 b(3)f(:)217 b Fw(energy)33 b(or)g(mass)f(to)s(o)g
43132 (small)e(or)i(unph)m(ysical)h(kinematical)d(v)-5 b(ariable)31
43133 b(setup.)236 5399 y Fq(=)52 b(4)f(:)217 b Fw(program)31
43134 b(is)h(caugh)m(t)h(in)f(an)g(in\014nite)g(lo)s(op.)236
43135 5507 y Fq(=)52 b(5)f(:)217 b Fw(momen)m(tum,)35 b(energy)i(or)f(c)m
43136 (harge)g(w)m(as)h(not)f(conserv)m(ed)i(\(ev)m(en)g(allo)m(wing)c(for)h
43137 (ma-)709 5615 y(c)m(hine)k(precision)f(errors,)i(see)g
43138 Fq(PARU\(11\))p Fw(\);)k(is)38 b(ev)-5 b(aluated)38 b(only)g(after)h
43139 (ev)m(en)m(t)h(has)1817 5953 y(266)p eop
43140 %%Page: 267 273
43141 267 272 bop 709 -18 a Fw(b)s(een)29 b(generated)h(in)e(full,)g(and)i
43142 (do)s(es)f(not)g(apply)g(when)h(indep)s(enden)m(t)g(fragmen)m(ta-)709
43143 90 y(tion)h(without)h(momen)m(tum)f(conserv)-5 b(ation)33
43144 b(w)m(as)g(used.)236 198 y Fq(=)52 b(6)f(:)217 b Fw(error)36
43145 b(call)e(from)h(outside)h(the)h(fragmen)m(tation/deca)m(y)e(pac)m(k)-5
43146 b(age)37 b(\(e.g.)54 b(the)37 b(e)3618 162 y Fl(+)3677
43147 198 y Fw(e)3720 162 y Fk(\000)709 307 y Fw(routines\).)236
43148 415 y Fq(=)52 b(7)f(:)217 b Fw(inconsisten)m(t)29 b(particle)e(data)h
43149 (input)g(in)g Fq(LUUPDA)i Fw(\()p Fq(MUPDA)52 b(=)g(2)p
43150 Fw(\))29 b(or)f(other)g Fq(LUUPDA)p Fw(-)709 523 y(related)k(problem.)
43151 236 632 y Fq(=)52 b(8)f(:)217 b Fw(problems)31 b(in)h(more)g(p)s
43152 (eripheral)g(service)h(routines.)236 740 y Fq(=)52 b(9)f(:)217
43153 b Fw(v)-5 b(arious)31 b(other)i(problems.)0 848 y Fq(MSTU\(25\))53
43154 b(:)48 b Fw(\(D=1\))31 b(prin)m(ting)h(of)g(w)m(arning)g(messages.)236
43155 957 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(w)m(arnings)h(are)f(written.)236
43156 1065 y Fq(=)52 b(1)f(:)217 b Fw(\014rst)33 b Fq(MSTU\(26\))h
43157 Fw(w)m(arnings)f(are)g(prin)m(ted,)f(thereafter)i(no)e(w)m(arnings)h
43158 (app)s(ear.)0 1173 y Fq(MSTU\(26\))53 b(:)48 b Fw(\(D=10\))31
43159 b(maxim)m(um)f(n)m(um)m(b)s(er)j(of)g(w)m(arnings)f(that)h(are)f(prin)m
43160 (ted.)0 1282 y Fq(MSTU\(27\))53 b(:)48 b Fw(\(I\))32
43161 b(coun)m(t)i(of)e(n)m(um)m(b)s(er)h(of)f(w)m(arnings)h(exp)s(erienced)h
43162 (to)e(date.)0 1390 y Fq(MSTU\(28\))53 b(:)48 b Fw(\(R\))31
43163 b(t)m(yp)s(e)h(of)f(latest)f(w)m(arning)h(giv)m(en,)h(with)f(co)s(des)h
43164 (paralleling)c(those)k(for)e Fq(MSTU\(24\))p Fw(,)472
43165 1498 y(but)j(of)f(a)h(less)g(serious)f(nature.)0 1607
43166 y Fq(MSTU\(31\))53 b(:)48 b Fw(\(I\))32 b(n)m(um)m(b)s(er)h(of)40
43167 b Fq(LUEXEC)34 b Fw(calls)d(in)h(presen)m(t)i(run.)0
43168 1715 y Fq(MSTU\(32\))53 b(:)48 b Fw(\(I\))32 b(n)m(um)m(b)s(er)h(of)g
43169 (en)m(tries)g(stored)g(with)f Fq(LUEDIT\(-1\))j Fw(call.)0
43170 1823 y Fq(MSTU\(33\))53 b(:)48 b Fw(\(I\))38 b(if)f(set)i(1)f(b)s
43171 (efore)h(a)f Fq(LUDBRB)i Fw(call,)e(the)g Fq(V)h Fw(v)m(ectors)h(\(in)d
43172 (the)i(particle)e(range)h(to)g(b)s(e)472 1932 y(rotated/b)s(o)s
43173 (osted\))32 b(are)f(set)i(0)e(b)s(efore)g(the)h(rotation/b)s(o)s(ost.)
43174 41 b Fq(MSTU\(33\))34 b Fw(is)d(set)h(bac)m(k)h(to)472
43175 2040 y(0)g(in)f(the)h Fq(LUDBRB)h Fw(call.)41 b(Is)34
43176 b(inactiv)m(e)e(in)g(a)g Fq(LUROBO)i Fw(call.)0 2148
43177 y Fq(MSTU\(41\))53 b(-)f(MSTU\(63\))h(:)48 b Fw(switc)m(hes)34
43178 b(for)e(ev)m(en)m(t-analysis)h(routines,)g(see)h(section)e(15.4.)0
43179 2257 y Fq(MSTU\(70\))53 b(:)48 b Fw(\(D=0\))22 b(the)i(n)m(um)m(b)s(er)
43180 f(of)g(lines)g(consisting)f(only)h(of)g(equal)g(signs)g(\()p
43181 Fq(======)p Fw(\))h(that)f(are)h(in-)472 2365 y(serted)k(in)e(the)h(ev)
43182 m(en)m(t)h(listing)d(obtained)h(with)g Fq(LULIST\(1\))p
43183 Fw(,)k Fq(LULIST\(2\))f Fw(or)d Fq(LULIST\(3\))p Fw(,)472
43184 2473 y(so)35 b(as)g(to)f(distinguish)f(di\013eren)m(t)i(sections)g(of)g
43185 (the)g(ev)m(en)m(t)h(record)f(on)f(output.)50 b(A)m(t)35
43186 b(most)472 2582 y(10)i(suc)m(h)h(lines)e(can)h(b)s(e)g(inserted;)j(see)
43187 e Fq(MSTU\(71\))53 b(-)f(MSTU\(80\))p Fw(.)58 b(Is)38
43188 b(reset)f(at)g Fq(LUEDIT)472 2690 y Fw(calls)32 b(with)g(argumen)m(ts)h
43189 (0{5.)0 2798 y Fq(MSTU\(71\))53 b(-)f(MSTU\(80\))h(:)48
43190 b Fw(line)38 b(n)m(um)m(b)s(ers)i(b)s(elo)m(w)f(whic)m(h)g(lines)g
43191 (consisting)f(only)h(of)f(equal)i(signs)472 2907 y(\()p
43192 Fq(======)p Fw(\))48 b(are)e(inserted)h(in)e(ev)m(en)m(t)j(listings.)82
43193 b(Only)46 b(the)g(\014rst)h Fq(MSTU\(70\))h Fw(of)d(the)i(10)472
43194 3015 y(allo)m(w)m(ed)32 b(p)s(ositions)g(are)g(enabled.)0
43195 3123 y Fq(MSTU\(90\))53 b(:)48 b Fw(n)m(um)m(b)s(er)34
43196 b(of)g(hea)m(vy-\015a)m(v)m(our)i(hadrons)e(\(i.e.)47
43197 b(hadrons)35 b(con)m(taining)e(c)m(harm)g(or)h(hea)m(vier)472
43198 3232 y(\015a)m(v)m(ours\))29 b(pro)s(duced)f(in)e(curren)m(t)i(ev)m(en)
43199 m(t,)i(for)d(whic)m(h)g(the)h(p)s(ositions)d(in)i(the)g(ev)m(en)m(t)i
43200 (record)472 3340 y(are)34 b(stored)g(in)e Fq(MSTU\(91\))54
43201 b(-)d(MSTU\(98\))36 b Fw(and)d(the)h Fj(z)k Fw(v)-5 b(alues)33
43202 b(in)g(the)h(fragmen)m(tation)d(in)472 3448 y Fq(PARU\(91\))54
43203 b(-)d(PARU\(98\))p Fw(.)k(A)m(t)36 b(most)g(eigh)m(t)f(v)-5
43204 b(alues)36 b(will)d(b)s(e)j(stored)g(\(normally)e(this)h(is)472
43205 3557 y(no)43 b(problem\).)72 b(No)42 b Fj(z)47 b Fw(v)-5
43206 b(alues)43 b(can)g(b)s(e)f(stored)h(for)f(those)i(hea)m(vy)g(hadrons)f
43207 (pro)s(duced)472 3665 y(when)36 b(a)f(string)f(has)h(so)g(small)e(mass)
43208 i(that)f(it)g(collapses)g(to)h(one)g(or)f(t)m(w)m(o)i(particles,)f(nor)
43209 472 3774 y(for)g(those)h(pro)s(duced)g(as)g(one)f(of)g(the)h(\014nal)e
43210 (t)m(w)m(o)i(particles)e(in)h(the)h(fragmen)m(tation)d(of)i(a)472
43211 3882 y(string.)59 b(If)44 b Fq(MSTU\(17\)=1)p Fw(,)e
43212 Fq(MSTU\(90\))d Fw(should)f(b)s(e)g(reset)h(to)e(zero)h(b)m(y)g(y)m(ou)
43213 h(b)s(efore)f(eac)m(h)472 3990 y(new)c(ev)m(en)m(t,)g(else)f(this)g(is)
43214 f(done)h(automatically)-8 b(.)0 4099 y Fq(MSTU\(91\))53
43215 b(-)f(MSTU\(98\))h(:)48 b Fw(the)27 b(\014rst)g Fq(MSTU\(90\))i
43216 Fw(p)s(ositions)d(will)e(b)s(e)k(\014lled)d(with)i(the)g(line)f(n)m(um)
43217 m(b)s(ers)472 4207 y(of)44 b(the)g(hea)m(vy-\015a)m(v)m(our)h(hadrons)f
43218 (pro)s(duced)h(in)e(the)h(curren)m(t)g(ev)m(en)m(t.)79
43219 b(See)44 b Fq(MSTU\(90\))472 4315 y Fw(for)38 b(additional)e(commen)m
43220 (ts.)61 b(Note)38 b(that)g(the)h(information)c(is)j(corrupted)h(b)m(y)h
43221 (calls)d(to)472 4424 y Fq(LUEDIT)e Fw(with)d(options)g(0{5)g(and)g
43222 (21{23;)g(calls)f(with)h(options)g(11{15)g(w)m(ork,)h(ho)m(w)m(ev)m
43223 (er.)0 4532 y Fq(MSTU\(101\))54 b(-)d(MSTU\(118\))j(:)47
43224 b Fw(switc)m(hes)35 b(related)d(to)g(couplings,)g(see)h(section)g
43225 (14.5.)0 4640 y Fq(MSTU\(161\),)54 b(MSTU\(162\))g(:)47
43226 b Fw(information)29 b(used)34 b(b)m(y)g(ev)m(en)m(t-analysis)f
43227 (routines,)g(see)g(section)g(15.4.)0 4749 y Fq(MSTU\(181\))54
43228 b(:)47 b Fw(\(R\))32 b Fm(Jetset)g Fw(v)m(ersion)h(n)m(um)m(b)s(er.)0
43229 4857 y Fq(MSTU\(182\))54 b(:)47 b Fw(\(R\))32 b Fm(Jetset)g
43230 Fw(sub)m(v)m(ersion)i(n)m(um)m(b)s(er.)0 4965 y Fq(MSTU\(183\))54
43231 b(:)47 b Fw(\(R\))32 b(last)g(y)m(ear)i(of)e(c)m(hange)h(for)f
43232 Fm(Jetset)p Fw(.)0 5074 y Fq(MSTU\(184\))54 b(:)47 b
43233 Fw(\(R\))32 b(last)g(mon)m(th)g(of)g(c)m(hange)i(for)e
43234 Fm(Jetset)p Fw(.)0 5182 y Fq(MSTU\(185\))54 b(:)47 b
43235 Fw(\(R\))32 b(last)g(da)m(y)h(of)g(c)m(hange)g(for)f
43236 Fm(Jetset)p Fw(.)0 5290 y Fq(MSTU\(186\))54 b(:)47 b
43237 Fw(\(R\))35 b(earliest)g(sub)m(v)m(ersion)i(of)42 b Fm(Pythia)36
43238 b Fw(v)m(ersion)g(5)f(with)g(whic)m(h)h(this)g Fm(Jetset)e
43239 Fw(sub-)472 5399 y(v)m(ersion)g(can)e(b)s(e)h(run.)0
43240 5561 y Fq(PARU\(1\))53 b(:)48 b Fw(\(R\))32 b Fj(\031)f
43241 Fn(\031)e Fw(3)p Fj(:)p Fw(1415927.)1817 5953 y(267)p
43242 eop
43243 %%Page: 268 274
43244 268 273 bop 0 -18 a Fq(PARU\(2\))53 b(:)48 b Fw(\(R\))32
43245 b(2)p Fj(\031)f Fn(\031)d Fw(6)p Fj(:)p Fw(2831854.)0
43246 90 y Fq(PARU\(3\))53 b(:)48 b Fw(\(D=0.1973\))30 b(con)m(v)m(ersion)k
43247 (factor)e(for)g(GeV)2134 54 y Fk(\000)p Fl(1)2256 90
43248 y Fn(!)g Fw(fm)g(or)g(fm)2763 54 y Fk(\000)p Fl(1)2884
43249 90 y Fn(!)g Fw(GeV.)0 198 y Fq(PARU\(4\))53 b(:)48 b
43250 Fw(\(D=5.068\))31 b(con)m(v)m(ersion)i(factor)f(for)g(fm)g
43251 Fn(!)g Fw(GeV)2361 162 y Fk(\000)p Fl(1)2488 198 y Fw(or)g(GeV)h
43252 Fn(!)f Fw(fm)3077 162 y Fk(\000)p Fl(1)3170 198 y Fw(.)0
43253 307 y Fq(PARU\(5\))53 b(:)48 b Fw(\(D=0.3894\))30 b(con)m(v)m(ersion)k
43254 (factor)e(for)g(GeV)2134 270 y Fk(\000)p Fl(2)2256 307
43255 y Fn(!)g Fw(m)m(b)h(or)f(m)m(b)2806 270 y Fk(\000)p Fl(1)2928
43256 307 y Fn(!)g Fw(GeV)3253 270 y Fl(2)3292 307 y Fw(.)0
43257 415 y Fq(PARU\(6\))53 b(:)48 b Fw(\(D=2.568\))31 b(con)m(v)m(ersion)i
43258 (factor)f(for)g(m)m(b)h Fn(!)f Fw(GeV)2383 379 y Fk(\000)p
43259 Fl(2)2510 415 y Fw(or)g(GeV)2822 379 y Fl(2)2889 415
43260 y Fn(!)g Fw(m)m(b)3154 379 y Fk(\000)p Fl(1)3248 415
43261 y Fw(.)0 523 y Fq(PARU\(11\))53 b(:)48 b Fw(\(D=0.001\))31
43262 b(relativ)m(e)h(error,)h(i.e.)43 b(nonconserv)-5 b(ation)33
43263 b(of)f(momen)m(tum)f(and)i(energy)h(di-)472 632 y(vided)29
43264 b(b)m(y)g(total)e(energy)-8 b(,)30 b(that)e(ma)m(y)g(b)s(e)h
43265 (attributable)e(to)h(mac)m(hine)f(precision)h(problems)472
43266 740 y(b)s(efore)33 b(a)f(ph)m(ysics)i(error)f(is)f(susp)s(ected)j
43267 (\(see)e Fq(MSTU\(24\)=5)p Fw(\).)0 848 y Fq(PARU\(12\))53
43268 b(:)48 b Fw(\(D=0.09)32 b(GeV)1148 812 y Fl(2)1188 848
43269 y Fw(\))h(e\013ectiv)m(e)i(cut-o\013)e(in)g(squared)i(mass,)f(b)s(elo)m
43270 (w)g(whic)m(h)g(partons)g(ma)m(y)472 957 y(b)s(e)48 b(recom)m(bined)f
43271 (to)g(simplify)e(\(mac)m(hine)h(precision)h(limited\))d(kinematics)i
43272 (of)h(string)472 1065 y(fragmen)m(tation.)0 1173 y Fq(PARU\(13\))53
43273 b(:)48 b Fw(\(D=0.01\))37 b(e\013ectiv)m(e)i(angular)e(cut-o\013)h(in)g
43274 (radians)g(for)g(recom)m(bination)e(of)i(partons,)472
43275 1282 y(used)c(in)e(conjunction)g(with)h Fq(PARU\(12\))p
43276 Fw(.)0 1390 y Fq(PARU\(21\))53 b(:)48 b Fw(\(I\))37 b(con)m(tains)f
43277 (the)i(total)d(energy)j Fj(W)50 b Fw(of)36 b(all)f(\014rst)i
43278 (generation)f(jets/particles)g(after)h(a)472 1498 y Fq(LUEXEC)e
43279 Fw(call;)30 b(to)j(b)s(e)f(used)i(b)m(y)g(the)f Fq(PLU)g
43280 Fw(function)f(for)g Fq(I>0)p Fw(,)i Fq(J=)f Fw(20{25.)0
43281 1607 y Fq(PARU\(41\))53 b(-)f(PARU\(63\))h(:)48 b Fw(parameters)32
43282 b(for)g(ev)m(en)m(t-analysis)i(routines,)e(see)i(section)f(15.4.)0
43283 1715 y Fq(PARU\(91\))53 b(-)f(PARU\(98\))h(:)48 b Fw(the)36
43284 b(\014rst)g Fq(MSTU\(90\))i Fw(p)s(ositions)c(will)f(b)s(e)j(\014lled)f
43285 (with)g(the)h(fragmen)m(ta-)472 1823 y(tion)44 b Fj(z)50
43286 b Fw(v)-5 b(alues)44 b(used)i(in)m(ternally)d(in)h(the)i(generation)e
43287 (of)g(hea)m(vy-\015a)m(v)m(our)j(hadrons)e(|)472 1932
43288 y(ho)m(w)29 b(these)f(are)g(translated)f(in)m(to)g(the)h(actual)e
43289 (energies)i(and)g(momen)m(ta)e(of)i(the)f(observ)m(ed)472
43290 2040 y(hadrons)44 b(is)f(a)g(complicated)f(function)h(of)g(the)h
43291 (string)e(con\014guration.)75 b(The)45 b(particle)472
43292 2148 y(with)d Fj(z)k Fw(v)-5 b(alue)41 b(stored)h(in)f
43293 Fq(PARU\(i\))i Fw(is)e(to)h(b)s(e)f(found)h(in)f(line)f
43294 Fq(MSTU\(i\))k Fw(of)d(the)h(ev)m(en)m(t)472 2257 y(record.)i(See)34
43295 b Fq(MSTU\(90\))h Fw(and)d Fq(MSTU\(91\))54 b(-)d(MSTU\(98\))35
43296 b Fw(for)d(additional)d(commen)m(ts.)0 2365 y Fq(PARU\(101\))54
43297 b(-)d(PARU\(195\))j(:)47 b Fw(v)-5 b(arious)44 b(coupling)e(constan)m
43298 (ts)k(and)e(parameters)g(related)f(to)h(cou-)472 2473
43299 y(plings,)32 b(see)i(section)e(14.5.)0 2636 y Fq(MSTJ\(1\))53
43300 b(:)48 b Fw(\(D=1\))31 b(c)m(hoice)i(of)f(fragmen)m(tation)f(sc)m
43301 (heme.)236 2744 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(jet)h(fragmen)m
43302 (tation)d(at)j(all.)236 2853 y Fq(=)52 b(1)f(:)217 b
43303 Fw(string)32 b(fragmen)m(tation)e(according)i(to)g(the)h(Lund)h(mo)s
43304 (del.)236 2961 y Fq(=)52 b(2)f(:)217 b Fw(indep)s(enden)m(t)45
43305 b(fragmen)m(tation,)h(according)e(to)g(sp)s(eci\014cation)g(in)f
43306 Fq(MSTJ\(2\))j Fw(and)709 3069 y Fq(MSTJ\(3\))p Fw(.)0
43307 3178 y Fq(MSTJ\(2\))53 b(:)48 b Fw(\(D=3\))31 b(gluon)h(jet)g(fragmen)m
43308 (tation)f(sc)m(heme)j(in)e(indep)s(enden)m(t)h(fragmen)m(tation.)236
43309 3286 y Fq(=)52 b(1)f(:)217 b Fw(a)23 b(gluon)f(is)h(assumed)h(to)f
43310 (fragmen)m(t)f(lik)m(e)h(a)g(random)g(d,)i(u)e(or)g(s)h(quark)g(or)f
43311 (an)m(tiquark.)236 3394 y Fq(=)52 b(2)f(:)217 b Fw(as)46
43312 b Fq(=1)p Fw(,)51 b(but)c(longitudinal)c(\(see)k Fq(PARJ\(43\))p
43313 Fw(,)53 b Fq(PARJ\(44\))48 b Fw(and)f Fq(PARJ\(59\))p
43314 Fw(\))h(and)709 3503 y(transv)m(erse)40 b(\(see)g Fq(PARJ\(22\))p
43315 Fw(\))g(momen)m(tum)d(prop)s(erties)h(of)g(quark)h(or)f(an)m(tiquark)
43316 709 3611 y(substituting)32 b(for)g(gluon)f(ma)m(y)i(b)s(e)f(separately)
43317 h(sp)s(eci\014ed.)236 3719 y Fq(=)52 b(3)f(:)217 b Fw(a)46
43318 b(gluon)f(is)h(assumed)i(to)e(fragmen)m(t)g(lik)m(e)f(a)h(pair)g(of)g
43319 (a)g(d,)k(u)d(or)f(s)h(quark)g(and)709 3828 y(its)35
43320 b(an)m(tiquark,)h(sharing)f(the)h(gluon)f(energy)h(according)f(to)g
43321 (the)h(Altarelli-P)m(arisi)709 3936 y(splitting)30 b(function.)236
43322 4044 y Fq(=)52 b(4)f(:)217 b Fw(as)46 b Fq(=3)p Fw(,)51
43323 b(but)c(longitudinal)c(\(see)k Fq(PARJ\(43\))p Fw(,)53
43324 b Fq(PARJ\(44\))48 b Fw(and)f Fq(PARJ\(59\))p Fw(\))h(and)709
43325 4153 y(transv)m(erse)31 b(\(see)g Fq(PARJ\(22\))p Fw(\))h(momen)m(tum)c
43326 (prop)s(erties)h(of)g(quark)i(and)e(an)m(tiquark)709
43327 4261 y(substituting)j(for)g(gluon)f(ma)m(y)i(b)s(e)f(separately)h(sp)s
43328 (eci\014ed.)0 4369 y Fq(MSTJ\(3\))53 b(:)48 b Fw(\(D=0\))40
43329 b(energy)-8 b(,)44 b(momen)m(tum)c(and)h(\015a)m(v)m(our)h(conserv)-5
43330 b(ation)41 b(options)g(in)f(indep)s(enden)m(t)472 4478
43331 y(fragmen)m(tation.)i(Whenev)m(er)34 b(momen)m(tum)d(conserv)-5
43332 b(ation)32 b(is)f(describ)s(ed)i(b)s(elo)m(w,)f(energy)472
43333 4586 y(and)h(\015a)m(v)m(our)h(conserv)-5 b(ation)32
43334 b(is)g(also)g(implicitly)c(assumed.)236 4694 y Fq(=)52
43335 b(0)f(:)217 b Fw(no)32 b(explicit)f(conserv)-5 b(ation)33
43336 b(of)f(an)m(y)h(kind.)236 4803 y Fq(=)52 b(1)f(:)217
43337 b Fw(particles)43 b(share)i(momen)m(tum)d(im)m(balance)h(comp)s
43338 (ensation)g(according)g(to)h(their)709 4911 y(energy)g(\(roughly)f
43339 (equiv)-5 b(alen)m(t)43 b(to)g(b)s(o)s(osting)f(ev)m(en)m(t)j(to)e
43340 (c.m.)76 b(frame\).)e(This)44 b(is)709 5019 y(similar)29
43341 b(to)j(the)h(approac)m(h)g(in)f(the)h(Ali)e(et)i(al.)42
43342 b(program)31 b([Ali80)n(].)236 5128 y Fq(=)52 b(2)f(:)217
43343 b Fw(particles)43 b(share)i(momen)m(tum)d(im)m(balance)h(comp)s
43344 (ensation)g(according)g(to)h(their)709 5236 y(longitudinal)29
43345 b(mass)j(with)g(resp)s(ect)i(to)e(the)h(im)m(balance)e(direction.)236
43346 5344 y Fq(=)52 b(3)f(:)217 b Fw(particles)31 b(share)j(momen)m(tum)d
43347 (im)m(balance)g(comp)s(ensation)g(equally)-8 b(.)236
43348 5453 y Fq(=)52 b(4)f(:)217 b Fw(transv)m(erse)39 b(momen)m(ta)e(are)h
43349 (comp)s(ensated)g(separately)g(within)e(eac)m(h)j(jet,)g(longi-)709
43350 5561 y(tudinal)d(momen)m(ta)g(are)h(rescaled)i(so)e(that)h(ratio)d(of)j
43351 (\014nal)e(jet)i(to)f(initial)d(parton)1817 5953 y(268)p
43352 eop
43353 %%Page: 269 275
43354 269 274 bop 709 -18 a Fw(momen)m(tum)27 b(is)h(the)h(same)f(for)h(all)d
43355 (the)j(jets)g(of)f(the)h(ev)m(en)m(t.)45 b(This)28 b(is)g(similar)e(to)
43356 i(the)709 90 y(approac)m(h)33 b(in)e(the)i(Ho)m(y)m(er)h(et)f(al.)42
43357 b(program)32 b([Ho)m(y79].)236 198 y Fq(=)52 b(5)f(:)217
43358 b Fw(only)32 b(\015a)m(v)m(our)h(is)f(explicitly)f(conserv)m(ed.)236
43359 307 y Fq(=)52 b(6)f(-)h(10)g(:)47 b Fw(as)40 b Fq(=1)51
43360 b(-)h(5)p Fw(,)41 b(except)g(that)e(ab)s(o)m(v)m(e)h(sev)m(eral)g
43361 (colour)e(singlet)h(systems)h(that)f(fol-)709 415 y(lo)m(w)m(ed)33
43362 b(immediately)e(after)i(eac)m(h)h(other)g(in)f(the)g(ev)m(en)m(t)j
43363 (listing)31 b(\(e.g.)46 b(q)p 3361 362 52 4 v(q)q(q)p
43364 3464 362 V(q)q(\))33 b(w)m(ere)709 523 y(treated)j(as)h(one)g(single)e
43365 (system,)k(whereas)e(here)h(they)f(are)f(treated)h(as)g(separate)709
43366 632 y(systems.)236 740 y Fq(=)52 b(-1)g(:)165 b Fw(indep)s(enden)m(t)32
43367 b(fragmen)m(tation,)d(where)j(also)e(particles)g(mo)m(ving)g(bac)m(kw)m
43368 (ards)j(with)709 848 y(resp)s(ect)f(to)g(the)f(jet)h(direction)e(are)i
43369 (k)m(ept,)h(and)e(th)m(us)i(the)f(amoun)m(t)f(of)g(energy)h(and)709
43370 957 y(momen)m(tum)f(mismatc)m(h)g(ma)m(y)h(b)s(e)h(large.)0
43371 1065 y Fq(MSTJ\(11\))53 b(:)48 b Fw(\(D=4\))22 b(c)m(hoice)h(of)g
43372 (longitudinal)c(fragmen)m(tation)i(function,)k(i.e.)39
43373 b(ho)m(w)24 b(large)e(a)h(fraction)472 1173 y(of)33 b(the)g(energy)g(a)
43374 m(v)-5 b(ailable)30 b(a)i(newly-created)i(hadron)f(tak)m(es.)236
43375 1282 y Fq(=)52 b(1)f(:)217 b Fw(the)28 b(Lund)h(symmetric)f(fragmen)m
43376 (tation)e(function,)j(see)g Fq(PARJ\(41\))54 b(-)d(PARJ\(45\))p
43377 Fw(.)236 1390 y Fq(=)h(2)f(:)217 b Fw(c)m(hoice)36 b(of)f(some)g
43378 (di\013eren)m(t)h(forms)e(for)h(eac)m(h)i(\015a)m(v)m(our)f(separately)
43379 -8 b(,)37 b(see)f Fq(PARJ\(51\))709 1498 y(-)51 b(PARJ\(59\))p
43380 Fw(.)236 1607 y Fq(=)h(3)f(:)217 b Fw(h)m(ybrid)45 b(sc)m(heme,)k
43381 (where)d(ligh)m(t)e(\015a)m(v)m(ours)i(are)f(treated)g(with)g
43382 (symmetric)f(Lund)709 1715 y(\()p Fq(=1)p Fw(\),)33 b(but)g(c)m(harm)g
43383 (and)f(hea)m(vier)i(can)f(b)s(e)g(separately)g(c)m(hosen,)h(e.g.)45
43384 b(according)32 b(to)709 1823 y(the)h(SLA)m(C)g(function)f(\()p
43385 Fq(=2)p Fw(\).)236 1932 y Fq(=)52 b(4)f(:)217 b Fw(the)47
43386 b(Lund)h(symmetric)f(fragmen)m(tation)e(function)i(\()p
43387 Fq(=1)p Fw(\),)k(for)c(hea)m(vy)i(endp)s(oin)m(t)709
43388 2040 y(quarks)i(mo)s(di\014ed)f(according)g(to)g(the)h(Bo)m(wler)f
43389 (\(Artru{Mennessier,)57 b(Morris\))709 2148 y(space{time)32
43390 b(picture)g(of)g(string)g(ev)m(olution,)g(see)i Fq(PARJ\(46\))p
43391 Fw(.)236 2257 y Fq(=)52 b(5)f(:)217 b Fw(as)32 b Fq(=4)p
43392 Fw(,)h(but)f(with)f(p)s(ossibilit)m(y)f(to)i(in)m(terp)s(olate)e(b)s
43393 (et)m(w)m(een)35 b(Bo)m(wler)c(and)i(Lund)f(sep-)709
43394 2365 y(arately)g(for)g(c,)h(b)f(and)h(t;)f(see)i Fq(PARJ\(46\))54
43395 b(-)d(PARJ\(48\))p Fw(.)0 2473 y Fq(MSTJ\(12\))i(:)48
43396 b Fw(\(D=2\))31 b(c)m(hoice)i(of)f(bary)m(on)i(pro)s(duction)e(mo)s
43397 (del.)236 2582 y Fq(=)52 b(0)f(:)217 b Fw(no)32 b(bary)m(on-an)m
43398 (tibary)m(on)g(pair)g(pro)s(duction)f(at)h(all;)f(initial)d(diquark)k
43399 (treated)h(as)g(a)709 2690 y(unit.)236 2798 y Fq(=)52
43400 b(1)f(:)217 b Fw(diquark-an)m(tidiquark)31 b(pair)h(pro)s(duction)g
43401 (allo)m(w)m(ed;)g(diquark)g(treated)h(as)g(a)f(unit.)236
43402 2907 y Fq(=)52 b(2)f(:)217 b Fw(diquark-an)m(tidiquark)25
43403 b(pair)h(pro)s(duction)g(allo)m(w)m(ed,)h(with)f(p)s(ossibilit)m(y)e
43404 (for)i(diquark)709 3015 y(to)32 b(b)s(e)h(split)e(according)h(to)g(the)
43405 h(`p)s(op)s(corn')g(sc)m(heme.)236 3123 y Fq(=)52 b(3)f(:)217
43406 b Fw(as)31 b Fq(=2)p Fw(,)h(but)f(additionally)d(the)k(pro)s(duction)e
43407 (of)h(\014rst)g(rank)h(bary)m(ons)g(ma)m(y)f(b)s(e)g(sup-)709
43408 3232 y(pressed)j(b)m(y)g(a)e(factor)g Fq(PARJ\(19\))p
43409 Fw(.)0 3340 y Fq(MSTJ\(13\))53 b(:)48 b Fw(\(D=0\))37
43410 b(generation)h(of)g(transv)m(erse)j(momen)m(tum)c(for)h(endp)s(oin)m(t)
43411 h(quark\(s\))g(of)g(single)472 3448 y(quark)34 b(jet)f(or)g(q)p
43412 1064 3396 V(q)g(jet)g(system)h(\(in)e(m)m(ultijet)f(ev)m(en)m(ts)k(no)e
43413 (endp)s(oin)m(t)g(transv)m(erse)i(momen-)472 3557 y(tum)d(is)g(ev)m(er)
43414 i(allo)m(w)m(ed)e(for\).)236 3665 y Fq(=)52 b(0)f(:)217
43415 b Fw(no)32 b(transv)m(erse)j(momen)m(tum)c(for)h(endp)s(oin)m(t)h
43416 (quarks.)236 3774 y Fq(=)52 b(1)f(:)217 b Fw(endp)s(oin)m(t)36
43417 b(quarks)j(obtain)d(transv)m(erse)j(momen)m(ta)c(lik)m(e)i(ordinary)f
43418 (q)p 3274 3721 V(q)i(pairs)e(pro-)709 3882 y(duced)31
43419 b(in)e(the)i(\014eld)e(\(see)i Fq(PARJ\(21\))p Fw(\);)i(for)d(2-jet)f
43420 (systems)j(the)e(endp)s(oin)m(ts)h(obtain)709 3990 y(balancing)g
43421 (transv)m(erse)j(momen)m(ta.)0 4099 y Fq(MSTJ\(14\))53
43422 b(:)48 b Fw(\(D=1\))66 b(treatmen)m(t)g(of)h(a)f(colour-singlet)e(jet)j
43423 (system)h(with)e(a)h(lo)m(w)f(in)m(v)-5 b(arian)m(t)472
43424 4207 y(mass.)236 4315 y Fq(=)52 b(0)f(:)217 b Fw(no)36
43425 b(precautions)i(are)f(tak)m(en,)i(meaning)c(that)i(problems)f(ma)m(y)h
43426 (o)s(ccur)g(in)f Fq(LUSTRF)709 4424 y Fw(\(or)c Fq(LUINDF)p
43427 Fw(\))i(later)d(on.)236 4532 y Fq(=)52 b(1)f(:)217 b
43428 Fw(small)42 b(jet)j(systems)h(are)e(allo)m(w)m(ed)g(to)h(collapse)e(in)
43429 m(to)h(t)m(w)m(o)h(particles)f(or,)k(failing)709 4640
43430 y(that,)g(one)d(single)g(particle.)80 b(Normally)42 b(all)h(small)g
43431 (systems)k(are)e(treated)h(this)709 4749 y(w)m(a)m(y)-8
43432 b(,)52 b(starting)46 b(with)h(the)h(smallest)d(one,)52
43433 b(but)47 b(some)g(systems)i(w)m(ould)e(require)709 4857
43434 y(more)26 b(w)m(ork)i(and)g(are)f(left)g(un)m(treated;)j(they)e
43435 (include)f(diquark-an)m(tidiquark)f(pairs)709 4965 y(b)s(elo)m(w)32
43436 b(the)h(t)m(w)m(o-particle)f(threshold.)236 5074 y Fq(=)52
43437 b(-1)g(:)165 b Fw(sp)s(ecial)38 b(option)g(for)h Fq(LUPREP)i
43438 Fw(calls,)f(where)g(no)f(precautions)h(are)f(tak)m(en)i(\(as)e(for)709
43439 5182 y Fq(=0)p Fw(\),)34 b(but,)g(in)f(addition,)f(no)h(c)m(hec)m(ks)k
43440 (are)c(made)g(on)h(the)g(presence)h(of)e(small-mass)709
43441 5290 y(systems;)h(i.e.)43 b Fq(LUPREP)34 b Fw(only)e(rearranges)h
43442 (colour)f(strings.)0 5399 y Fq(MSTJ\(15\))53 b(:)48 b
43443 Fw(\(D=0\))31 b(pro)s(duction)h(probabilit)m(y)f(for)h(new)h(\015a)m(v)
43444 m(ours.)236 5507 y Fq(=)52 b(0)f(:)217 b Fw(according)49
43445 b(to)g(standard)h(Lund)g(parametrization,)h(as)f(giv)m(en)f(b)m(y)j
43446 Fq(PARJ\(1\))h(-)709 5615 y(PARJ\(20\))p Fw(.)1817 5953
43447 y(269)p eop
43448 %%Page: 270 276
43449 270 275 bop 236 -18 a Fq(=)52 b(1)f(:)217 b Fw(according)26
43450 b(to)h(probabilities)d(stored)k(in)e Fq(PARF\(201\))54
43451 b(-)e(PARF\(1960\))p Fw(;)31 b(note)d(that)709 90 y(no)g(default)f(v)-5
43452 b(alues)28 b(exist)g(here,)i(i.e.)41 b Fq(PARF)29 b Fw(m)m(ust)f(b)s(e)
43453 g(set)h(b)m(y)g(y)m(ou.)42 b(The)29 b Fq(MSTJ\(12\))709
43454 198 y Fw(switc)m(h)i(can)f(still)e(b)s(e)i(used)h(to)f(set)h(bary)m(on)
43455 g(pro)s(duction)e(mo)s(de,)h(with)g(the)h(mo)s(di\014-)709
43456 307 y(cation)c(that)g Fq(MSTJ\(12\)=2)j Fw(here)f(allo)m(ws)e(an)g
43457 (arbitrary)g(n)m(um)m(b)s(er)h(of)g(mesons)g(to)f(b)s(e)709
43458 415 y(pro)s(duced)32 b(b)s(et)m(w)m(een)h(a)e(bary)m(on)h(and)f(an)g
43459 (an)m(tibary)m(on)g(\(since)h(the)g(probabilit)m(y)d(for)709
43460 523 y(diquark)g Fn(!)g Fw(meson)g(+)g(new)h(diquark)f(is)g(assumed)h
43461 (indep)s(enden)m(t)g(of)f(prehistory\).)0 632 y Fq(MSTJ\(21\))53
43462 b(:)48 b Fw(\(D=2\))31 b(form)h(of)g(particle)f(deca)m(ys.)236
43463 740 y Fq(=)52 b(0)f(:)217 b Fw(all)30 b(particle)h(deca)m(ys)k(are)d
43464 (inhibited.)236 848 y Fq(=)52 b(1)f(:)217 b Fw(a)30 b(particle)f
43465 (declared)i(unstable)g(in)f(the)h Fq(MDCY)g Fw(v)m(ector,)i(and)d(with)
43466 h(deca)m(y)h(c)m(hannels)709 957 y(de\014ned,)e(ma)m(y)e(deca)m(y)h
43467 (within)e(the)h(region)f(giv)m(en)h(b)m(y)i Fq(MSTJ\(22\))p
43468 Fw(.)44 b(A)28 b(particle)f(ma)m(y)709 1065 y(deca)m(y)40
43469 b(in)m(to)e(jets,)k(whic)m(h)d(then)h(fragmen)m(t)f(further)g
43470 (according)f(to)h(the)h Fq(MSTJ\(1\))709 1173 y Fw(v)-5
43471 b(alue.)236 1282 y Fq(=)52 b(2)f(:)217 b Fw(as)44 b Fq(=1)p
43472 Fw(,)49 b(except)d(that)e(a)g(q)p 1703 1229 52 4 v(q)i(jet)e(system)i
43473 (pro)s(duced)f(in)f(a)h(deca)m(y)g(\(e.g.)80 b(of)44
43474 b(a)g(B)709 1390 y(meson\))31 b(is)g(alw)m(a)m(ys)g(allo)m(w)m(ed)g(to)
43475 g(fragmen)m(t)f(according)h(to)g(string)f(fragmen)m(tation,)709
43476 1498 y(rather)c(than)g(according)g(to)g(the)g Fq(MSTJ\(1\))i
43477 Fw(v)-5 b(alue)26 b(\(this)g(means)g(that)g(momen)m(tum,)709
43478 1607 y(energy)33 b(and)g(c)m(harge)g(are)g(conserv)m(ed)i(in)c(the)i
43479 (deca)m(y\).)0 1715 y Fq(MSTJ\(22\))53 b(:)48 b Fw(\(D=1\))21
43480 b(cut-o\013)h(on)g(deca)m(y)i(length)e(for)f(a)h(particle)f(that)h(is)g
43481 (allo)m(w)m(ed)g(to)f(deca)m(y)j(according)472 1823 y(to)33
43482 b Fq(MSTJ\(21\))h Fw(and)f(the)g Fq(MDCY)h Fw(v)-5 b(alue.)236
43483 1932 y Fq(=)52 b(1)f(:)217 b Fw(a)32 b(particle)f(declared)i(unstable)g
43484 (is)f(also)f(forced)i(to)g(deca)m(y)-8 b(.)236 2040 y
43485 Fq(=)52 b(2)f(:)217 b Fw(a)40 b(particle)f(is)h(deca)m(y)m(ed)i(only)e
43486 (if)f(its)h(a)m(v)m(erage)h(prop)s(er)g(lifetime)c(is)j(smaller)e(than)
43487 709 2148 y Fq(PARJ\(71\))p Fw(.)236 2257 y Fq(=)52 b(3)f(:)217
43488 b Fw(a)21 b(particle)g(is)h(deca)m(y)m(ed)i(only)d(if)g(the)i(deca)m(y)
43489 g(v)m(ertex)h(is)d(within)g(a)h(distance)g Fq(PARJ\(72\))709
43490 2365 y Fw(of)32 b(the)h(origin.)236 2473 y Fq(=)52 b(4)f(:)217
43491 b Fw(a)22 b(particle)g(is)g(deca)m(y)m(ed)k(only)c(if)g(the)h(deca)m(y)
43492 i(v)m(ertex)f(is)f(within)f(a)g(cylindrical)f(v)m(olume)709
43493 2582 y(with)30 b(radius)g Fq(PARJ\(73\))i Fw(in)e(the)g
43494 Fj(xy)t Fw(-plane)f(and)i(exten)m(t)h(to)e Fn(\006)p
43495 Fq(PARJ\(74\))i Fw(in)e(the)h Fj(z)709 2690 y Fw(direction.)0
43496 2798 y Fq(MSTJ\(23\))53 b(:)48 b Fw(\(D=1\))23 b(p)s(ossibilit)m(y)f
43497 (of)i(ha)m(ving)g(a)g(sho)m(w)m(er)i(ev)m(olving)d(from)g(a)h(q)p
43498 2828 2746 V(q)h(pair)f(created)h(as)f(deca)m(y)472 2907
43499 y(pro)s(ducts.)236 3015 y Fq(=)52 b(0)f(:)217 b Fw(nev)m(er.)236
43500 3123 y Fq(=)52 b(1)f(:)217 b Fw(whenev)m(er)31 b(the)e(deca)m(y)i(c)m
43501 (hannel)e(matrix-elemen)m(t)e(co)s(de)i(is)f Fq(MDME\(IDC,2\)=)k
43502 Fw(4,)e(32,)709 3232 y(33,)c(44)f(or)g(46,)h(the)g(t)m(w)m(o)g(\014rst)
43503 g(deca)m(y)h(pro)s(ducts)f(\(if)e(they)i(are)f(partons\))h(are)f(allo)m
43504 (w)m(ed)709 3340 y(to)d(sho)m(w)m(er,)k(lik)m(e)c(a)g(colour-singlet)f
43505 (subsystem,)26 b(with)c(maxim)m(um)e(virtualit)m(y)h(giv)m(en)709
43506 3448 y(b)m(y)33 b(the)g(in)m(v)-5 b(arian)m(t)31 b(mass)i(of)f(the)h
43507 (pair.)0 3557 y Fq(MSTJ\(24\))53 b(:)48 b Fw(\(D=2\))31
43508 b(particle)h(masses.)236 3665 y Fq(=)52 b(0)f(:)217 b
43509 Fw(discrete)33 b(mass)f(v)-5 b(alues)33 b(are)f(used.)236
43510 3774 y Fq(=)52 b(1)f(:)217 b Fw(particles)26 b(registered)h(as)g(ha)m
43511 (ving)g(a)f(mass)h(width)g(in)f(the)h Fq(PMAS)h Fw(v)m(ector)g(are)f
43512 (giv)m(en)g(a)709 3882 y(mass)c(according)g(to)g(a)h(truncated)g
43513 (Breit{Wigner)e(shap)s(e,)k(linear)c(in)h Fj(m)p Fw(,)j(eq.)e(\(201\).)
43514 236 3990 y Fq(=)52 b(2)f(:)217 b Fw(as)46 b Fq(=1)p Fw(,)k(but)c(gauge)
43515 g(b)s(osons)g(\(actually)f(all)f(particles)h(with)h Fn(j)p
43516 Fw(KF)p Fn(j)j(\024)i Fw(100\))45 b(are)709 4099 y(distributed)i
43517 (according)g(to)h(a)f(Breit{Wigner)g(quadratic)g(in)g
43518 Fj(m)p Fw(,)52 b(as)c(obtained)709 4207 y(from)31 b(propagators.)236
43519 4315 y Fq(=)52 b(3)f(:)217 b Fw(as)32 b Fq(=1)p Fw(,)i(but)e
43520 (Breit{Wigner)g(shap)s(e)h(is)f(alw)m(a)m(ys)h(quadratic)f(in)g
43521 Fj(m)p Fw(,)h(eq.)h(\(202\).)0 4424 y Fq(MSTJ\(25\))53
43522 b(:)48 b Fw(\(D=1\))c(inclusion)g(of)h(the)g(W)1705 4387
43523 y Fk(\006)1810 4424 y Fw(propagator,)j(in)c(addition)g(to)h(the)h
43524 (standard,)j(`in-)472 4532 y(\014nitely)35 b(hea)m(vy')h(w)m(eak)g
43525 Fj(V)46 b Fn(\000)24 b Fj(A)35 b Fw(matrix)e(elemen)m(t,)j(in)e(the)h
43526 (deca)m(y)h(of)f(a)g(t,)g(l)f(or)h(h)g(quark,)472 4640
43527 y(or)e Fj(\037)f Fw(lepton.)236 4749 y Fq(=)52 b(0)f(:)217
43528 b Fw(not)32 b(included.)236 4857 y Fq(=)52 b(1)f(:)217
43529 b Fw(included.)0 4965 y Fq(MSTJ\(26\))53 b(:)48 b Fw(\(D=2\))31
43530 b(inclusion)g(of)i(B{)p 1504 4887 70 4 v(B)f(mixing)e(in)i(deca)m(ys.)
43531 236 5074 y Fq(=)52 b(0)f(:)217 b Fw(no.)236 5182 y Fq(=)52
43532 b(1)f(:)217 b Fw(y)m(es,)37 b(with)e(mixing)e(parameters)i(giv)m(en)g
43533 (b)m(y)j Fq(PARJ\(76\))f Fw(and)e Fq(PARJ\(77\))p Fw(.)53
43534 b(Mixing)709 5290 y(deca)m(ys)34 b(are)f(not)f(sp)s(ecially)f(mark)m
43535 (ed.)236 5399 y Fq(=)52 b(2)f(:)217 b Fw(y)m(es,)36 b(as)f
43536 Fq(=1)p Fw(,)h(but)f(a)f(B)g(\()p 1593 5321 V(B\))h(that)f(deca)m(ys)j
43537 (as)d(a)p 2465 5321 V 35 w(B)g(\(B\))h(is)f(mark)m(ed)g(as)h
43538 Fq(K\(I,1\)=12)709 5507 y Fw(rather)d(than)h(the)g(normal)e
43539 Fq(K\(I,1\)=11)p Fw(.)0 5615 y Fq(MSTJ\(27\))53 b(:)48
43540 b Fw(\(D=2\))32 b(p)s(ossibilit)m(y)f(for)i(the)g(b)g(quark)h(to)f(dev)
43541 m(elop)h(a)f(sho)m(w)m(er)i(in)d(the)i(deca)m(y)g(of)f(a)g(top)1817
43542 5953 y(270)p eop
43543 %%Page: 271 277
43544 271 276 bop 472 -18 a Fw(hadron,)33 b(i.e.)43 b(T)28
43545 b Fn(!)g Fw(W)1325 -55 y Fl(+)1384 -18 y Fw(b)p 1438
43546 -71 52 4 v(q)q(,)k(where)p 1831 -71 V 34 w(q)h(is)f(a)h(sp)s(ectator)g
43547 (quark.)236 90 y Fq(=)52 b(0)f(:)217 b Fw(no,)32 b(i.e.)43
43548 b(b)33 b(jet)g(is)f(narro)m(w,)h(lo)m(w-m)m(ultiplicit)m(y)-8
43549 b(.)236 198 y Fq(=)52 b(1)f(:)217 b Fw(the)37 b(b)h(is)f(allo)m(w)m(ed)
43550 f(to)h(sho)m(w)m(er)i(and)e(the)h(W)h(momen)m(tum)d(\(in)g(the)i(rest)g
43551 (frame)e(of)709 307 y(the)42 b(T\))h(is)e(reduced)j(acccordingly)-8
43552 b(.)72 b(The)43 b(W)g(is)f(therafter)g(assumed)h(to)f(deca)m(y)709
43553 415 y(isotropically)-8 b(.)236 523 y Fq(=)52 b(2)f(:)217
43554 b Fw(the)38 b(b)h(is)f(allo)m(w)m(ed)g(to)g(sho)m(w)m(er,)j(as)e(in)e
43555 Fq(=1)p Fw(,)k(but)e(the)f(W)i(deca)m(ys)g(anisotropically)-8
43556 b(,)709 632 y(with)34 b(the)i(same)f(p)s(olarization)c(as)36
43557 b(in)e(the)h(standard)h(w)m(eak)g(deca)m(y)g(of)f(option)f
43558 Fq(=0)p Fw(.)709 740 y(In)f(principle)e(this)h(is)h(b)s(etter)g(than)f
43559 (option)g Fq(=1)p Fw(,)h(but)g(in)f(practice)h(there)h(is)e(no)g(big)
43560 709 848 y(di\013erence.)0 957 y Fq(MSTJ\(28\))53 b(:)48
43561 b Fw(\(D=0\))30 b(call)f(to)i(an)g(external)g Fj(\034)43
43562 b Fw(deca)m(y)32 b(library)-8 b(.)42 b(F)-8 b(or)30 b(this)h(option)f
43563 (to)g(b)s(e)i(meaningful,)472 1065 y(it)24 b(is)h(up)g(to)g(y)m(ou)h
43564 (to)e(write)h(the)h(appropriate)e(in)m(terface)h(and)g(include)f(that)h
43565 (in)g(the)g(routine)472 1173 y Fq(LUTAUD)p Fw(,)35 b(as)d(explained)h
43566 (in)e(section)i(14.2.)236 1282 y Fq(=)52 b(0)f(:)217
43567 b Fw(not)32 b(done,)h(i.e.)43 b(the)33 b(in)m(ternal)f
43568 Fq(LUDECY)i Fw(treatmen)m(t)e(is)g(used.)236 1390 y Fq(=)52
43569 b(1)f(:)217 b Fw(done)38 b(whenev)m(er)i(the)f Fj(\034)49
43570 b Fw(mother)37 b(particle)g(sp)s(ecies)i(can)f(b)s(e)g(iden)m
43571 (ti\014ed,)h(else)f(the)709 1498 y(in)m(ternal)31 b Fq(LUDECY)j
43572 Fw(treatmen)m(t)e(is)g(used.)44 b(Normally)30 b(the)j(mother)f
43573 (particle)f(should)709 1607 y(alw)m(a)m(ys)h(b)s(e)g(iden)m(ti\014ed,)g
43574 (but)g(it)f(is)g(p)s(ossible)g(for)g(a)h(user)g(to)g(remo)m(v)m(e)g(ev)
43575 m(en)m(t)i(history)709 1715 y(information)24 b(or)k(to)f(add)h(extra)g
43576 Fj(\034)11 b Fw('s)29 b(directly)e(to)h(the)g(ev)m(en)m(t)h(record,)h
43577 (and)e(then)g(the)709 1823 y(mother)k(is)g(not)g(kno)m(wn.)236
43578 1932 y Fq(=)52 b(2)f(:)217 b Fw(alw)m(a)m(ys)33 b(done.)0
43579 2040 y Fq(MSTJ\(40\))53 b(-)f(MSTJ\(50\))h(:)48 b Fw(switc)m(hes)34
43580 b(for)e(time-lik)m(e)e(parton)i(sho)m(w)m(ers,)j(see)f(section)f(10.4.)
43581 0 2148 y Fq(MSTJ\(51\))53 b(:)48 b Fw(\(D=0\))31 b(inclusion)g(of)i
43582 (Bose{Einstein)f(e\013ects.)236 2257 y Fq(=)52 b(0)f(:)217
43583 b Fw(no)32 b(e\013ects)i(included.)236 2365 y Fq(=)52
43584 b(1)f(:)217 b Fw(e\013ects)44 b(included)f(according)g(to)f(an)h(exp)s
43585 (onen)m(tial)g(parametrization)e Fj(C)3466 2380 y Fl(2)3505
43586 2365 y Fw(\()p Fj(Q)p Fw(\))46 b(=)709 2473 y(1+)p Fq(PARJ\(92\))p
43587 Fn(\002)17 b Fw(exp)s(\()p Fn(\000)p Fj(Q=)p Fq(PARJ\(93\))p
43588 Fw(\),)40 b(where)f Fj(C)2598 2488 y Fl(2)2637 2473 y
43589 Fw(\()p Fj(Q)p Fw(\))e(represen)m(ts)j(the)d(ratio)f(of)709
43590 2582 y(particle)28 b(pro)s(duction)g(at)h Fj(Q)h Fw(with)f
43591 (Bose{Einstein)g(e\013ects)i(to)e(that)g(without,)g(and)709
43592 2690 y(the)i(relativ)m(e)e(momen)m(tum)h Fj(Q)g Fw(is)g(de\014ned)i(b)m
43593 (y)g Fj(Q)2478 2654 y Fl(2)2517 2690 y Fw(\()p Fj(p)2604
43594 2705 y Fl(1)2644 2690 y Fj(;)17 b(p)2737 2705 y Fl(2)2776
43595 2690 y Fw(\))28 b(=)f Fn(\000)p Fw(\()p Fj(p)3109 2705
43596 y Fl(1)3167 2690 y Fn(\000)18 b Fj(p)3311 2705 y Fl(2)3351
43597 2690 y Fw(\))3389 2654 y Fl(2)3456 2690 y Fw(=)27 b(\()p
43598 Fj(p)3646 2705 y Fl(1)3704 2690 y Fw(+)709 2798 y Fj(p)758
43599 2813 y Fl(2)797 2798 y Fw(\))835 2762 y Fl(2)892 2798
43600 y Fn(\000)18 b Fw(4)p Fj(m)1121 2762 y Fl(2)1161 2798
43601 y Fw(.)42 b(P)m(articles)30 b(with)g(width)g(broader)h(than)f
43602 Fq(PARJ\(91\))i Fw(are)f(assumed)g(to)709 2907 y(ha)m(v)m(e)j(time)d
43603 (to)h(deca)m(y)i(b)s(efore)f(Bose{Einstein)f(e\013ects)i(are)f(to)f(b)s
43604 (e)h(considered.)236 3015 y Fq(=)52 b(2)f(:)217 b Fw(e\013ects)62
43605 b(included)f(according)g(to)g(a)g(Gaussian)g(parametrization)e
43606 Fj(C)3435 3030 y Fl(2)3474 3015 y Fw(\()p Fj(Q)p Fw(\))77
43607 b(=)709 3123 y(1+)p Fq(PARJ\(92\))p Fn(\002)17 b Fw(exp)s(\()p
43608 Fn(\000)p Fw(\()p Fj(Q=)p Fq(PARJ\(93\))p Fw(\))2212
43609 3087 y Fl(2)2253 3123 y Fw(\),)52 b(with)c(notation)e(and)i(commen)m
43610 (ts)g(as)709 3232 y(ab)s(o)m(v)m(e.)0 3340 y Fq(MSTJ\(52\))53
43611 b(:)48 b Fw(\(D=3\))38 b(n)m(um)m(b)s(er)h(of)f(particle)g(sp)s(ecies)h
43612 (for)g(whic)m(h)g(Bose{Einstein)g(correlations)e(are)472
43613 3448 y(to)j(b)s(e)g(included,)i(ranged)e(along)f(the)h(c)m(hain)g
43614 Fj(\031)2260 3412 y Fl(+)2319 3448 y Fw(,)i Fj(\031)2447
43615 3412 y Fk(\000)2506 3448 y Fw(,)g Fj(\031)2634 3412 y
43616 Fl(0)2673 3448 y Fw(,)g(K)2818 3412 y Fl(+)2877 3448
43617 y Fw(,)g(K)3022 3412 y Fk(\000)3081 3448 y Fw(,)g(K)3226
43618 3412 y Fl(0)3226 3473 y(L)3274 3448 y Fw(,)g(K)3419 3412
43619 y Fl(0)3419 3473 y(S)3462 3448 y Fw(,)g Fj(\021)h Fw(and)472
43620 3557 y Fj(\021)524 3521 y Fk(0)547 3557 y Fw(.)50 b(Default)33
43621 b(corresp)s(onds)j(to)e(including)f(all)f(pions)i(\()p
43622 Fj(\031)2548 3521 y Fl(+)2607 3557 y Fw(,)h Fj(\031)2728
43623 3521 y Fk(\000)2787 3557 y Fw(,)g Fj(\031)2908 3521 y
43624 Fl(0)2947 3557 y Fw(\),)g(7)g(to)f(including)f(all)472
43625 3665 y(Kaons)g(as)g(w)m(ell,)f(and)g(9)h(is)f(maxim)m(um.)0
43626 3774 y Fq(MSTJ\(91\))53 b(:)48 b Fw(\(I\))38 b(\015ag)g(when)h
43627 (generating)f(gluon)f(jet)h(with)g(options)f Fq(MSTJ\(2\)=)k
43628 Fw(2)c(or)h(4)g(\(then)h Fq(=1)p Fw(,)472 3882 y(else)33
43629 b Fq(=0)p Fw(\).)0 3990 y Fq(MSTJ\(92\))53 b(:)48 b Fw(\(I\))41
43630 b(\015ag)f(that)g(a)h(q)p 1264 3937 V(q)g(or)f(gg)i(pair)d(or)i(a)f
43631 (ggg)h(triplet)e(created)j(in)e Fq(LUDECY)i Fw(should)e(b)s(e)472
43632 4099 y(allo)m(w)m(ed)g(to)f(sho)m(w)m(er,)44 b(is)39
43633 b(0)h(if)f(no)g(pair)g(or)h(triplet,)g(is)g(the)g(en)m(try)h(n)m(um)m
43634 (b)s(er)f(of)g(the)g(\014rst)472 4207 y(parton)c(if)e(a)i(pair)e
43635 (indeed)i(exists,)i(is)d(the)h(en)m(try)h(n)m(um)m(b)s(er)f(of)f(the)h
43636 (\014rst)g(parton,)g(with)g(a)472 4315 y Fn(\000)d Fw(sign,)g(if)e(a)h
43637 (triplet)f(indeed)i(exists.)0 4424 y Fq(MSTJ\(93\))53
43638 b(:)48 b Fw(\(I\))32 b(switc)m(h)i(for)e Fq(ULMASS)i
43639 Fw(action.)43 b(Is)33 b(reset)g(to)g(0)f(in)g Fq(ULMASS)i
43640 Fw(call.)236 4532 y Fq(=)52 b(0)f(:)217 b Fw(ordinary)32
43641 b(action.)236 4640 y Fq(=)52 b(1)f(:)217 b Fw(ligh)m(t)23
43642 b(\(d,)k(u,)f(s,)h(c,)g(b\))e(quark)h(masses)f(are)g(tak)m(en)h(from)e
43643 Fq(PARF\(101\))54 b(-)d(PARF\(105\))709 4749 y Fw(rather)31
43644 b(than)h Fq(PMAS\(1,1\))54 b(-)d(PMAS\(5,1\))p Fw(.)46
43645 b(Diquark)31 b(masses)h(are)g(giv)m(en)g(as)g(sum)709
43646 4857 y(of)g(quark)h(masses,)h(without)e(spin)g(splitting)f(term.)236
43647 4965 y Fq(=)52 b(2)f(:)217 b Fw(as)39 b Fq(=1)p Fw(.)64
43648 b(Additionally)37 b(the)i(constan)m(t)i(terms)e Fq(PARF\(121\))i
43649 Fw(and)f Fq(PARF\(122\))h Fw(are)709 5074 y(subtracted)34
43650 b(from)d(quark)i(and)g(diquark)g(masses,)g(resp)s(ectiv)m(ely)-8
43651 b(.)0 5182 y Fq(MSTJ\(101\))54 b(-)d(MSTJ\(121\))j(:)47
43652 b Fw(switc)m(hes)35 b(for)d(e)1802 5146 y Fl(+)1861 5182
43653 y Fw(e)1904 5146 y Fk(\000)1996 5182 y Fw(ev)m(en)m(t)i(generation,)e
43654 (see)i(section)f(6.3.)0 5344 y Fq(PARJ\(1\))53 b(:)48
43655 b Fw(\(D=0.10\))26 b(is)h Fn(P)8 b Fw(\(qq\))p Fj(=)p
43656 Fn(P)g Fw(\(q\),)30 b(the)e(suppression)h(of)e(diquark-an)m(tidiquark)g
43657 (pair)g(pro)s(duc-)472 5453 y(tion)32 b(in)g(the)h(colour)e(\014eld,)i
43658 (compared)f(with)g(quark{an)m(tiquark)i(pro)s(duction.)0
43659 5561 y Fq(PARJ\(2\))53 b(:)48 b Fw(\(D=0.30\))25 b(is)g
43660 Fn(P)8 b Fw(\(s\))p Fj(=)p Fn(P)g Fw(\()p Fj(u)p Fw(\),)28
43661 b(the)f(suppression)h(of)e(s)g(quark)i(pair)d(pro)s(duction)g(in)h(the)
43662 h(\014eld)1817 5953 y(271)p eop
43663 %%Page: 272 278
43664 272 277 bop 472 -18 a Fw(compared)33 b(with)f(u)h(or)f(d)h(pair)e(pro)s
43665 (duction.)0 90 y Fq(PARJ\(3\))53 b(:)48 b Fw(\(D=0.4\))33
43666 b(is)h(\()p Fn(P)8 b Fw(\(us\))p Fj(=)p Fn(P)g Fw(\(ud\)\))p
43667 Fj(=)p Fw(\()p Fn(P)g Fw(\(s\))p Fj(=)p Fn(P)g Fw(\(d\)\),)37
43668 b(the)e(extra)g(suppression)h(of)e(strange)h(di-)472
43669 198 y(quark)f(pro)s(duction)e(compared)g(with)g(the)h(normal)e
43670 (suppression)j(of)e(strange)h(quarks.)0 307 y Fq(PARJ\(4\))53
43671 b(:)48 b Fw(\(D=0.05\))21 b(is)h(\(1)p Fj(=)p Fw(3\))p
43672 Fn(P)8 b Fw(\(ud)1465 322 y Fl(1)1504 307 y Fw(\))p Fj(=)p
43673 Fn(P)g Fw(\(ud)1814 322 y Fl(0)1854 307 y Fw(\),)25 b(the)d
43674 (suppression)i(of)e(spin)g(1)h(diquarks)g(compared)472
43675 415 y(with)33 b(spin)f(0)g(ones)i(\(excluding)e(the)h(factor)f(3)g
43676 (coming)f(from)h(spin)g(coun)m(ting\).)0 523 y Fq(PARJ\(5\))53
43677 b(:)48 b Fw(\(D=0.5\))37 b(parameter)i(determining)e(relativ)m(e)h(o)s
43678 (ccurence)j(of)d(bary)m(on)h(pro)s(duction)g(b)m(y)472
43679 641 y Fj(B)5 b(M)p 655 563 80 4 v 10 w(B)49 b Fw(and)43
43680 b(b)m(y)g Fj(B)p 1202 563 V 5 w(B)48 b Fw(con\014gurations)42
43681 b(in)g(the)h(p)s(op)s(corn)f(bary)m(on)h(pro)s(duction)f(mo)s(del,)472
43682 749 y(roughly)32 b Fn(P)8 b Fw(\()p Fj(B)d(M)p 1125 671
43683 V 10 w(B)i Fw(\))p Fj(=)p Fw(\()p Fn(P)h Fw(\()p Fj(B)p
43684 1525 671 V 5 w(B)d Fw(\))22 b(+)g Fn(P)8 b Fw(\()p Fj(B)d(M)p
43685 2060 671 V 10 w(B)i Fw(\)\))27 b(=)33 b Fq(PARJ\(5\))p
43686 Fj(=)p Fw(\(0)p Fj(:)p Fw(5+)p Fq(PARJ\(5\))p Fw(\).)0
43687 867 y Fq(PARJ\(6\))53 b(:)48 b Fw(\(D=0.5\))36 b(extra)i(suppression)h
43688 (for)d(ha)m(ving)i(a)f(s)p 2278 814 39 4 v(s)h(pair)f(shared)h(b)m(y)g
43689 (the)g Fj(B)43 b Fw(and)p 3498 789 80 4 v 37 w Fj(B)g
43690 Fw(of)37 b(a)472 985 y Fj(B)5 b(M)p 655 907 V 10 w(B)39
43691 b Fw(situation.)0 1094 y Fq(PARJ\(7\))53 b(:)48 b Fw(\(D=0.5\))33
43692 b(extra)h(suppression)i(for)d(ha)m(ving)h(a)g(strange)g(meson)h
43693 Fj(M)44 b Fw(in)34 b(a)g Fj(B)5 b(M)p 3384 1016 V 10
43694 w(B)40 b Fw(con\014g-)472 1202 y(uration.)0 1310 y Fq(PARJ\(11\))53
43695 b(-)f(PARJ\(17\))h(:)48 b Fw(parameters)32 b(that)h(determine)f(the)h
43696 (spin)f(of)h(mesons.)236 1419 y Fq(PARJ\(11\))54 b(:)47
43697 b Fw(\(D=0.5\))h(is)g(the)h(probabilit)m(y)d(that)j(a)f(ligh)m(t)f
43698 (meson)i(\(con)m(taining)e(u)i(and)f(d)709 1527 y(quarks)d(only\))f
43699 (has)g(spin)h(1)f(\(with)f Fq(1-PARJ\(11\))k Fw(the)e(probabilit)m(y)d
43700 (for)i(spin)g(0\))709 1635 y(when)33 b(formed)f(in)g(fragmen)m(tation.)
43701 236 1744 y Fq(PARJ\(12\))54 b(:)47 b Fw(\(D=0.6\))32
43702 b(is)g(the)h(probabilit)m(y)d(that)j(a)f(strange)h(meson)f(has)h(spin)g
43703 (1.)236 1852 y Fq(PARJ\(13\))54 b(:)47 b Fw(\(D=0.75\))30
43704 b(is)h(the)h(probabilit)m(y)e(that)i(a)f(c)m(harm)g(or)g(hea)m(vier)i
43705 (meson)e(has)h(spin)g(1.)236 1960 y Fq(PARJ\(14\))54
43706 b(:)47 b Fw(\(D=0.\))j(is)35 b(the)g(probabilit)m(y)e(that)i(a)g(spin)g
43707 (=)g(0)f(meson)h(is)g(pro)s(duced)h(with)f(an)709 2069
43708 y(orbital)30 b(angular)h(momen)m(tum)g(1,)i(for)f(a)g(total)f(spin)i(=)
43709 f(1.)236 2177 y Fq(PARJ\(15\))54 b(:)47 b Fw(\(D=0.\))j(is)35
43710 b(the)g(probabilit)m(y)e(that)i(a)g(spin)g(=)g(1)f(meson)h(is)g(pro)s
43711 (duced)h(with)f(an)709 2285 y(orbital)30 b(angular)h(momen)m(tum)g(1,)i
43712 (for)f(a)g(total)f(spin)i(=)f(0.)236 2394 y Fq(PARJ\(16\))54
43713 b(:)47 b Fw(\(D=0.\))j(is)35 b(the)g(probabilit)m(y)e(that)i(a)g(spin)g
43714 (=)g(1)f(meson)h(is)g(pro)s(duced)h(with)f(an)709 2502
43715 y(orbital)30 b(angular)h(momen)m(tum)g(1,)i(for)f(a)g(total)f(spin)i(=)
43716 f(1.)236 2610 y Fq(PARJ\(17\))54 b(:)47 b Fw(\(D=0.\))j(is)35
43717 b(the)g(probabilit)m(y)e(that)i(a)g(spin)g(=)g(1)f(meson)h(is)g(pro)s
43718 (duced)h(with)f(an)709 2719 y(orbital)30 b(angular)h(momen)m(tum)g(1,)i
43719 (for)f(a)g(total)f(spin)i(=)f(2.)236 2827 y Fo(Note)37
43720 b(:)166 b Fw(the)47 b(end)g(result)f(of)g(the)h(n)m(um)m(b)s(ers)h(ab)s
43721 (o)m(v)m(e)f(is)f(that,)k(with)c Fq(i)h Fw(=)f(11,)k(12)c(or)g(13,)709
43722 2935 y(dep)s(ending)32 b(on)h(\015a)m(v)m(our)g(con)m(ten)m(t,)709
43723 3044 y Fn(P)8 b Fw(\()p Fj(S)34 b Fw(=)27 b(0)p Fj(;)17
43724 b(L)28 b Fw(=)f(0)p Fj(;)17 b(J)36 b Fw(=)28 b(0\))f(=)h(\(1)22
43725 b Fn(\000)g Fq(PARJ)p Fw(\()p Fq(i)p Fw(\))r(\))g Fn(\002)g
43726 Fw(\(1)g Fn(\000)h Fq(PARJ)p Fw(\()p Fq(14)p Fw(\))q(\),)709
43727 3152 y Fn(P)8 b Fw(\()p Fj(S)34 b Fw(=)27 b(0)p Fj(;)17
43728 b(L)28 b Fw(=)f(1)p Fj(;)17 b(J)36 b Fw(=)28 b(1\))f(=)h(\(1)22
43729 b Fn(\000)g Fq(PARJ)p Fw(\()p Fq(i)p Fw(\))r(\))g Fn(\002)g
43730 Fq(PARJ)p Fw(\()p Fq(14)p Fw(\))r(,)709 3260 y Fn(P)8
43731 b Fw(\()p Fj(S)34 b Fw(=)27 b(1)p Fj(;)17 b(L)28 b Fw(=)f(0)p
43732 Fj(;)17 b(J)36 b Fw(=)28 b(1\))f(=)1658 3369 y Fq(PARJ)p
43733 Fw(\()p Fq(i)p Fw(\))c Fn(\002)g Fw(\(1)f Fn(\000)h Fq(PARJ)p
43734 Fw(\()p Fq(15)p Fw(\))g Fn(\000)g Fq(PARJ)p Fw(\()p Fq(16)p
43735 Fw(\))g Fn(\000)g Fq(PARJ)p Fw(\()p Fq(17)p Fw(\))q(\),)709
43736 3477 y Fn(P)8 b Fw(\()p Fj(S)34 b Fw(=)27 b(1)p Fj(;)17
43737 b(L)28 b Fw(=)f(1)p Fj(;)17 b(J)36 b Fw(=)28 b(0\))f(=)h
43738 Fq(PARJ)p Fw(\()p Fq(i)p Fw(\))23 b Fn(\002)g Fq(PARJ)p
43739 Fw(\()p Fq(15)p Fw(\))q(,)709 3585 y Fn(P)8 b Fw(\()p
43740 Fj(S)34 b Fw(=)27 b(1)p Fj(;)17 b(L)28 b Fw(=)f(1)p Fj(;)17
43741 b(J)36 b Fw(=)28 b(1\))f(=)h Fq(PARJ)p Fw(\()p Fq(i)p
43742 Fw(\))23 b Fn(\002)g Fq(PARJ)p Fw(\()p Fq(16)p Fw(\))q(,)709
43743 3694 y Fn(P)8 b Fw(\()p Fj(S)34 b Fw(=)27 b(1)p Fj(;)17
43744 b(L)28 b Fw(=)f(1)p Fj(;)17 b(J)36 b Fw(=)28 b(2\))f(=)h
43745 Fq(PARJ)p Fw(\()p Fq(i)p Fw(\))23 b Fn(\002)g Fq(PARJ)p
43746 Fw(\()p Fq(17)p Fw(\))q(,)709 3802 y(where)39 b Fj(S)45
43747 b Fw(is)38 b(the)h(quark)g(`true')h(spin)e(and)h Fj(J)47
43748 b Fw(is)39 b(the)g(total)e(spin,)j(usually)e(called)709
43749 3911 y(the)33 b(spin)f Fj(s)h Fw(of)f(the)h(meson.)0
43750 4019 y Fq(PARJ\(18\))53 b(:)48 b Fw(\(D=1.\))39 b(is)22
43751 b(an)g(extra)h(suppression)h(factor)e(m)m(ultiplying)d(the)k(ordinary)f
43752 Fo(SU\(6\))g Fw(w)m(eigh)m(t)472 4127 y(for)k(spin)g(3/2)g(bary)m(ons,)
43753 i(and)f(hence)g(a)f(means)g(to)g(break)h Fo(SU\(6\))f
43754 Fw(in)f(addition)g(to)h(the)g(dy-)472 4236 y(namic)c(breaking)g
43755 (implied)e(b)m(y)k Fq(PARJ\(2\))p Fw(,)j Fq(PARJ\(3\))p
43756 Fw(,)f Fq(PARJ\(4\))p Fw(,)h Fq(PARJ\(6\))d Fw(and)f
43757 Fq(PARJ\(7\))p Fw(.)0 4344 y Fq(PARJ\(19\))53 b(:)48
43758 b Fw(\(D=1.\))105 b(extra)54 b(bary)m(on)g(suppression)h(factor,)j
43759 (whic)m(h)c(m)m(ultiplies)c(the)k(ordinary)472 4452 y(diquark-an)m
43760 (tidiquark)g(pro)s(duction)f(probabilit)m(y)g(for)g(the)i(breakup)g
43761 (closest)g(to)f(the)472 4561 y(endp)s(oin)m(t)48 b(of)g(a)f(string,)k
43762 (but)d(lea)m(v)m(es)h(other)f(breaks)h(una\013ected.)91
43763 b(Is)49 b(only)e(used)i(for)472 4669 y Fq(MSTJ\(12\)=3)p
43764 Fw(.)0 4777 y Fq(PARJ\(21\))k(:)48 b Fw(\(D=0.36)30 b(GeV\))h(corresp)s
43765 (onds)i(to)e(the)g(width)g Fj(\033)36 b Fw(in)30 b(the)i(Gaussian)f
43766 Fj(p)3145 4792 y Fh(x)3220 4777 y Fw(and)g Fj(p)3457
43767 4792 y Fh(y)3530 4777 y Fw(trans-)472 4886 y(v)m(erse)52
43768 b(momen)m(tum)c(distributions)h(for)g(primary)f(hadrons.)96
43769 b(See)50 b(also)f Fq(PARJ\(22\))k(-)472 4994 y(PARJ\(24\))p
43770 Fw(.)0 5102 y Fq(PARJ\(22\))g(:)48 b Fw(\(D=1.\))56 b(relativ)m(e)36
43771 b(increase)i(in)e(transv)m(erse)k(momen)m(tum)35 b(in)i(a)f(gluon)h
43772 (jet)g(generated)472 5211 y(with)c Fq(MSTJ\(2\)=)h Fw(2)f(or)f(4.)0
43773 5319 y Fq(PARJ\(23\),)54 b(PARJ\(24\))f(:)48 b Fw(\(D=0.01,)d(2.\))77
43774 b(a)44 b(fraction)f Fq(PARJ\(23\))j Fw(of)d(the)i(Gaussian)e(transv)m
43775 (erse)472 5427 y(momen)m(tum)32 b(distribution)e(is)i(tak)m(en)i(to)e
43776 (b)s(e)g(a)h(factor)f Fq(PARJ\(24\))i Fw(larger)e(than)g(input)g(in)472
43777 5536 y Fq(PARJ\(21\))p Fw(.)67 b(This)39 b(giv)m(es)h(a)g(simple)e
43778 (parametrization)e(of)j(non-Gaussian)g(tails)f(to)h(the)472
43779 5644 y(Gaussian)32 b(shap)s(e)i(assumed)f(ab)s(o)m(v)m(e.)1817
43780 5953 y(272)p eop
43781 %%Page: 273 279
43782 273 278 bop 0 -18 a Fq(PARJ\(25\))53 b(:)48 b Fw(\(D=1.\))53
43783 b(extra)36 b(suppression)h(factor)f(for)f Fj(\021)40
43784 b Fw(pro)s(duction)35 b(in)g(fragmen)m(tation;)h(if)f(an)h
43785 Fj(\021)472 90 y Fw(is)d(rejected)g(a)g(new)g(\015a)m(v)m(our)h(pair)d
43786 (is)h(generated)i(and)e(a)h(new)g(hadron)g(formed.)0
43787 198 y Fq(PARJ\(26\))53 b(:)48 b Fw(\(D=0.4\))28 b(extra)h(suppression)h
43788 (factor)f(for)f Fj(\021)2179 162 y Fk(0)2231 198 y Fw(pro)s(duction)g
43789 (in)h(fragmen)m(tation;)f(if)g(an)h Fj(\021)3757 162
43790 y Fk(0)472 307 y Fw(is)k(rejected)g(a)g(new)g(\015a)m(v)m(our)h(pair)d
43791 (is)h(generated)i(and)e(a)h(new)g(hadron)g(formed.)0
43792 415 y Fq(PARJ\(31\))53 b(:)48 b Fw(\(D=0.1)26 b(GeV\))h(giv)m(es)g(the)
43793 h(remaining)c Fj(W)2095 430 y Fl(+)2181 415 y Fw(b)s(elo)m(w)j(whic)m
43794 (h)h(the)f(generation)f(of)h(a)g(single)472 523 y(jet)e(is)f(stopp)s
43795 (ed)h(\(it)f(is)f(c)m(hosen)k(smaller)22 b(than)i(a)h(pion)e(mass,)j
43796 (so)f(that)f(no)h(hadrons)g(mo)m(ving)472 632 y(in)32
43797 b(the)h(forw)m(ard)g(direction)e(are)i(missed\).)0 740
43798 y Fq(PARJ\(32\))53 b(:)48 b Fw(\(D=1.)85 b(GeV\))47 b(is,)j(with)d
43799 (quark)h(masses)f(added,)52 b(used)c(to)e(de\014ne)i(the)g(minim)m(um)
43800 472 848 y(allo)m(w)m(able)31 b(energy)j(of)e(a)g(colour-singlet)e(jet)j
43801 (system.)0 957 y Fq(PARJ\(33\))53 b(-)f(PARJ\(34\))h(:)48
43802 b Fw(\(D=0.8)34 b(GeV,)h(1.5)g(GeV\))g(are,)h(together)g(with)e(quark)j
43803 (masses,)f(used)472 1065 y(to)c(de\014ne)h(the)f(remaining)e(energy)j
43804 (b)s(elo)m(w)f(whic)m(h)g(the)h(fragmen)m(tation)c(of)j(a)g(jet)g
43805 (system)472 1173 y(is)k(stopp)s(ed)g(and)g(t)m(w)m(o)h(\014nal)e
43806 (hadrons)h(formed.)53 b Fq(PARJ\(33\))38 b Fw(is)d(normally)f(used,)k
43807 (except)472 1282 y(for)32 b Fq(MSTJ\(11\)=2)p Fw(,)k(when)d
43808 Fq(PARJ\(34\))i Fw(is)d(used.)0 1390 y Fq(PARJ\(36\))53
43809 b(:)48 b Fw(\(D=2.\))62 b(represen)m(ts)42 b(the)d(dep)s(endence)j(on)d
43810 (the)g(mass)g(of)g(the)h(\014nal)e(quark)i(pair)e(for)472
43811 1498 y(de\014ning)31 b(the)g(stopping)g(p)s(oin)m(t)e(of)i(the)g
43812 (fragmen)m(tation.)41 b(Is)31 b(strongly)f(correlated)h(to)f(the)472
43813 1607 y(c)m(hoice)j(of)39 b Fq(PARJ\(33\))54 b(-)d(PARJ\(35\))p
43814 Fw(.)0 1715 y Fq(PARJ\(37\))i(:)48 b Fw(\(D=0.2\))31
43815 b(relativ)m(e)h(width)h(of)f(the)h(smearing)e(of)h(the)h(stopping)f(p)s
43816 (oin)m(t)g(energy)-8 b(.)0 1823 y Fq(PARJ\(38\))53 b(-)f(PARJ\(39\))h
43817 (:)48 b Fw(\(D=2.5,)42 b(0.6\))e(refers)i(to)e(the)h(probabilit)m(y)e
43818 (for)i(rev)m(erse)i(rapidit)m(y)c(or-)472 1932 y(dering)d(of)h(the)g
43819 (\014nal)e(t)m(w)m(o)j(hadrons,)g(according)e(to)g(eq.)h(\(192\),)g
43820 (where)h Fj(d)3220 1947 y Fl(0)3294 1932 y Fw(=)p Fq(PARJ\(38\))472
43821 2040 y Fw(for)32 b Fq(MSTJ\(11\))p Fn(6)p Fw(=)e(2,)j(and)f
43822 Fj(d)c Fw(=)p Fq(PARJ\(39\))34 b Fw(for)e Fq(MSTJ\(11\)=2)p
43823 Fw(.)0 2148 y Fq(PARJ\(41\),)54 b(PARJ\(42\))f(:)48 b
43824 Fw(\(D=0.3,)39 b(0.58)f(GeV)1858 2112 y Fk(\000)p Fl(2)1952
43825 2148 y Fw(\))g(giv)m(e)h(the)g Fj(a)g Fw(and)f Fj(b)h
43826 Fw(parameters)g(of)f(the)h(sym-)472 2257 y(metric)24
43827 b(Lund)i(fragmen)m(tation)d(function)h(for)h Fq(MSTJ\(11\)=)p
43828 Fw(1,)j(4)d(and)g(5)g(\(and)g Fq(MSTJ\(11\)=3)472 2365
43829 y Fw(for)32 b(ordinary)g(hadrons\).)0 2473 y Fq(PARJ\(43\),)54
43830 b(PARJ\(44\))f(:)48 b Fw(\(D=0.5,)41 b(0.9)f(GeV)1813
43831 2437 y Fk(\000)p Fl(2)1907 2473 y Fw(\))g(giv)m(e)g(the)h
43832 Fj(a)f Fw(and)h Fj(b)f Fw(parameters)h(as)f(ab)s(o)m(v)m(e)h(for)472
43833 2582 y(the)33 b(sp)s(ecial)f(case)i(of)e(a)g(gluon)f(jet)i(generated)g
43834 (with)g(IF)f(and)h Fq(MSTJ\(2\)=)h Fw(2)f(or)f(4.)0 2690
43835 y Fq(PARJ\(45\))53 b(:)48 b Fw(\(D=0.5\))29 b(the)i(amoun)m(t)f(b)m(y)i
43836 (whic)m(h)f(the)g(e\013ectiv)m(e)h Fj(a)f Fw(parameter)f(in)f(the)j
43837 (Lund)f(\015a)m(v)m(our)472 2798 y(dep)s(enden)m(t)h(symmetric)d
43838 (fragmen)m(tation)e(function)i(is)g(assumed)h(to)f(b)s(e)h(larger)e
43839 (than)i(the)472 2907 y(normal)25 b Fj(a)h Fw(when)h(diquarks)g(are)f
43840 (pro)s(duced.)43 b(More)26 b(sp)s(eci\014cally)-8 b(,)27
43841 b(referring)e(to)h(eq.)h(\(179\),)472 3015 y Fj(a)523
43842 3030 y Fh(\013)601 3015 y Fw(=)p Fq(PARJ\(41\))g Fw(when)e(considering)
43843 g(the)g(fragmen)m(tation)e(of)h(a)g(quark)i(and)f(=)f
43844 Fq(PARJ\(41\))472 3123 y(+)52 b(PARJ\(45\))29 b Fw(for)e(the)h(fragmen)
43845 m(tation)d(of)i(a)g(diquark,)h(with)f(corresp)s(onding)g(expression)472
43846 3232 y(for)d Fj(a)664 3247 y Fh(\014)735 3232 y Fw(dep)s(ending)g(on)g
43847 (whether)h(the)f(newly)h(created)f(ob)5 b(ject)25 b(is)e(a)h(quark)h
43848 (or)e(diquark)h(\(for)472 3340 y(an)37 b(indep)s(enden)m(t)i(gluon)d
43849 (jet)h(generated)h(with)f Fq(MSTJ\(2\)=)i Fw(2)e(or)f(4,)i(replace)f
43850 Fq(PARJ\(41\))472 3448 y Fw(b)m(y)e Fq(PARJ\(43\))p Fw(\).)45
43851 b(In)32 b(the)h(p)s(op)s(corn)e(mo)s(del,)g(a)h(meson)g(created)g(in)f
43852 (b)s(et)m(w)m(een)k(the)d(bary)m(on)472 3557 y(and)h(an)m(tibary)m(on)g
43853 (has)g Fj(a)1378 3572 y Fh(\013)1455 3557 y Fw(=)27 b
43854 Fj(a)1609 3572 y Fh(\014)1684 3557 y Fw(=)p Fq(PARJ\(41\))54
43855 b(+)d(PARJ\(45\))p Fw(.)0 3665 y Fq(PARJ\(46\))i(-)f(PARJ\(48\))h(:)48
43856 b Fw(\(D=3*1.\))59 b(mo)s(di\014cation)36 b(of)h(the)i(Lund)g
43857 (symmetric)e(fragmen)m(tation)472 3774 y(for)f(hea)m(vy)h(endp)s(oin)m
43858 (t)e(quarks)i(according)e(to)h(the)g(recip)s(e)f(b)m(y)i(Bo)m(wler,)f
43859 (a)m(v)-5 b(ailable)33 b(when)472 3882 y Fq(MSTJ\(11\)=)j
43860 Fw(4)c(or)h(5)f(is)g(selected.)46 b(The)34 b(shap)s(e)f(is)f(giv)m(en)h
43861 (b)m(y)h(eq.)g(\(187\).)43 b(If)d Fq(MSTJ\(11\)=4)472
43862 3990 y Fw(then)c Fj(r)741 4005 y Fl(Q)831 3990 y Fw(=)p
43863 Fq(PARJ\(46\))g Fw(for)e(all)e(\015a)m(v)m(ours,)37 b(while)c(if)41
43864 b Fq(MSTJ\(11\)=5)c Fw(then)e Fj(r)3200 4005 y Fl(c)3266
43865 3990 y Fw(=)p Fq(PARJ\(46\))p Fw(,)472 4099 y Fj(r)516
43866 4114 y Fl(b)598 4099 y Fw(=)p Fq(PARJ\(47\))41 b Fw(and)e
43867 Fj(r)1363 4114 y Fl(Q)1460 4099 y Fw(=)p Fq(PARJ\(48\))i
43868 Fw(for)d(t)h(and)g(hea)m(vier.)62 b Fq(PARJ\(46\))54
43869 b(-)d(PARJ\(48\))472 4207 y Fw(th)m(us)33 b(pro)m(vide)f(a)f(p)s
43870 (ossibilit)m(y)e(to)i(in)m(terp)s(olate)g(b)s(et)m(w)m(een)i(the)f
43871 (`pure')g(Bo)m(wler)g(shap)s(e,)g Fj(r)f Fw(=)472 4315
43872 y(1,)44 b(and)d(the)h(normal)e(Lund)i(one,)i Fj(r)h Fw(=)d(0.)70
43873 b(The)43 b(additional)38 b(mo)s(di\014cations)h(made)i(in)472
43874 4424 y Fq(PARJ\(43\))54 b(-)d(PARJ\(45\))35 b Fw(are)e(automatically)c
43875 (tak)m(en)k(in)m(to)f(accoun)m(t,)i(if)d(necessary)-8
43876 b(.)0 4532 y Fq(PARJ\(51\))53 b(-)f(PARJ\(58\))h(:)48
43877 b Fw(\(D=3*0.77,)38 b Fn(\000)p Fw(0)p Fj(:)p Fw(05,)h
43878 Fn(\000)p Fw(0)p Fj(:)p Fw(005,)g(3*)p Fn(\000)p Fw(0)p
43879 Fj(:)p Fw(00001\))e(giv)m(e)h(a)g(c)m(hoice)g(of)g(four)472
43880 4640 y(p)s(ossible)30 b(w)m(a)m(ys)i(to)e(parametrize)g(the)g(fragmen)m
43881 (tation)f(function)h(for)f Fq(MSTJ\(11\)=2)k Fw(\(and)472
43882 4749 y Fq(MSTJ\(11\)=3)43 b Fw(for)d(c)m(harm)h(and)f(hea)m(vier\).)68
43883 b(The)41 b(fragmen)m(tation)d(of)i(eac)m(h)i(\015a)m(v)m(our)f(KF)472
43884 4857 y(ma)m(y)e(b)s(e)g(c)m(hosen)i(separately;)h(for)d(a)f(diquark)h
43885 (the)h(\015a)m(v)m(our)g(of)e(the)h(hea)m(viest)h(quark)g(is)472
43886 4965 y(used.)45 b(With)32 b Fj(c)c Fw(=)p Fq(PARJ\(50+KF\))p
43887 Fw(,)35 b(the)e(parametrizations)e(are:)472 5074 y(0)d
43888 Fn(\024)g Fj(c)g Fn(\024)g Fw(1)k(:)44 b(Field-F)-8 b(eynman,)30
43889 b Fj(f)11 b Fw(\()p Fj(z)t Fw(\))28 b(=)g(1)21 b Fn(\000)i
43890 Fj(c)f Fw(+)g(3)p Fj(c)p Fw(\(1)g Fn(\000)g Fj(z)t Fw(\))2711
43891 5037 y Fl(2)2752 5074 y Fw(;)472 5182 y Fn(\000)p Fw(1)28
43892 b Fn(\024)h Fj(c)e(<)h Fw(0)k(:)43 b(SLA)m(C,)34 b Fj(f)11
43893 b Fw(\()p Fj(z)t Fw(\))28 b(=)g(1)p Fj(=)p Fw(\()p Fj(z)t
43894 Fw(\(1)22 b Fn(\000)g Fw(1)p Fj(=z)27 b Fn(\000)22 b
43895 Fw(\()p Fn(\000)p Fj(c)p Fw(\))p Fj(=)p Fw(\(1)g Fn(\000)h
43896 Fj(z)t Fw(\)\))2928 5146 y Fl(2)2968 5182 y Fw(\);)472
43897 5290 y Fj(c)28 b(>)g Fw(1)k(:)43 b(p)s(o)m(w)m(er)34
43898 b(p)s(eak)m(ed)g(at)e Fj(z)g Fw(=)c(0,)k Fj(f)11 b Fw(\()p
43899 Fj(z)t Fw(\))28 b(=)g(\(1)22 b Fn(\000)g Fj(z)t Fw(\))2429
43900 5254 y Fh(c)p Fk(\000)p Fl(1)2555 5290 y Fw(;)472 5399
43901 y Fj(c)28 b(<)g Fn(\000)p Fw(1)k(:)44 b(p)s(o)m(w)m(er)33
43902 b(p)s(eak)m(ed)h(at)e Fj(z)h Fw(=)27 b(1,)33 b Fj(f)11
43903 b Fw(\()p Fj(z)t Fw(\))28 b(=)f Fj(z)2260 5363 y Fk(\000)p
43904 Fh(c)p Fk(\000)p Fl(1)2441 5399 y Fw(.)0 5507 y Fq(PARJ\(59\))53
43905 b(:)48 b Fw(\(D=1.\))144 b(replaces)68 b Fq(PARJ\(51\))53
43906 b(-)e(PARJ\(53\))69 b Fw(for)d(gluon)g(jet)g(generated)i(with)472
43907 5615 y Fq(MSTJ\(2\)=)35 b Fw(2)d(or)h(4.)1817 5953 y(273)p
43908 eop
43909 %%Page: 274 280
43910 274 279 bop 0 -18 a Fq(PARJ\(61\))53 b(-)f(PARJ\(63\))h(:)48
43911 b Fw(\(D=4.5,)d(0.7,)i(0.\))76 b(parametrizes)44 b(the)g(energy)h(dep)s
43912 (endence)h(of)d(the)472 90 y(primary)34 b(m)m(ultiplicit)m(y)e
43913 (distribution)h(in)i(phase-space)h(deca)m(ys.)54 b(The)36
43914 b(former)e(t)m(w)m(o)i(cor-)472 198 y(resp)s(ond)43 b(to)e
43915 Fj(c)1018 213 y Fl(1)1099 198 y Fw(and)g Fj(c)1339 213
43916 y Fl(2)1420 198 y Fw(of)g(eq.)i(\(209\),)g(while)d(the)i(latter)f(allo)
43917 m(ws)f(a)h(further)h(additiv)m(e)472 307 y(term)32 b(in)g(the)h(m)m
43918 (ultiplicit)m(y)c(sp)s(eci\014cally)j(for)g(onium)f(deca)m(ys.)0
43919 415 y Fq(PARJ\(64\))53 b(:)48 b Fw(\(0.003)28 b(GeV\))h(minim)m(um)c
43920 (kinetic)k(energy)h(in)e(deca)m(ys)j(\(safet)m(y)f(margin)d(for)h(n)m
43921 (umerical)472 523 y(precision)k(errors\).)0 632 y Fq(PARJ\(65\))53
43922 b(:)48 b Fw(\(D=0.5)22 b(GeV\))h(mass)g(whic)m(h,)j(in)c(addition)g(to)
43923 g(the)i(sp)s(ectator)f(quark)h(ordiquark)f(mass,)472
43924 740 y(is)33 b(not)f(assumed)h(to)f(partak)m(e)i(in)e(the)h(w)m(eak)g
43925 (deca)m(y)h(of)e(a)h(hea)m(vy)h(quark)f(in)f(a)g(hadron.)0
43926 848 y Fq(PARJ\(66\))53 b(:)48 b Fw(\(D=0.5\))30 b(relativ)m(e)g
43927 (probabilit)m(y)f(that)i(colour)f(is)g(rearranged)h(when)h(t)m(w)m(o)g
43928 (singlets)e(are)472 957 y(to)i(b)s(e)g(formed)f(from)f(deca)m(y)k(pro)s
43929 (ducts.)44 b(Only)31 b(applies)g(for)g Fq(MDME\(IDC,2\)=)k
43930 Fw(11{30,)c(i.e.)472 1065 y(lo)m(w-mass)h(phase-space)i(deca)m(ys.)0
43931 1173 y Fq(PARJ\(71\))53 b(:)48 b Fw(\(D=10)27 b(mm\))g(maxim)m(um)f(a)m
43932 (v)m(erage)j(prop)s(er)g(lifetime)c(for)j(particles)f(allo)m(w)m(ed)h
43933 (to)g(deca)m(y)472 1282 y(in)g(the)h Fq(MSTJ\(22\)=2)i
43934 Fw(option.)41 b(With)28 b(the)h(default)e(v)-5 b(alue,)29
43935 b(K)2714 1245 y Fl(0)2714 1306 y(S)2757 1282 y Fw(,)h(\003,)f(\006)3008
43936 1245 y Fk(\000)3067 1282 y Fw(,)g(\006)3193 1245 y Fl(+)3253
43937 1282 y Fw(,)g(\004)3374 1245 y Fk(\000)3433 1282 y Fw(,)h(\004)3555
43938 1245 y Fl(0)3622 1282 y Fw(and)472 1390 y(\012)542 1354
43939 y Fk(\000)640 1390 y Fw(are)38 b(stable)g(\(in)f(addition)g(to)g(those)
43940 i(normally)d(tak)m(en)j(to)f(b)s(e)g(stable\),)h(but)g(c)m(harm)472
43941 1498 y(and)33 b(b)s(ottom)e(do)i(still)d(deca)m(y)-8
43942 b(.)0 1607 y Fq(PARJ\(72\))53 b(:)48 b Fw(\(D=1000)22
43943 b(mm\))h(maxim)m(um)f(distance)i(from)f(the)h(origin)e(at)i(whic)m(h)g
43944 (a)g(deca)m(y)i(is)d(allo)m(w)m(ed)472 1715 y(to)33 b(tak)m(e)g(place)f
43945 (in)g(the)h Fq(MSTJ\(22\)=3)i Fw(option.)0 1823 y Fq(PARJ\(73\))53
43946 b(:)48 b Fw(\(D=100)37 b(mm\))g(maxim)m(um)e(cylindrical)h(distance)j
43947 Fj(\032)f Fw(=)2699 1747 y Fn(p)p 2782 1747 306 4 v 76
43948 x Fj(x)2837 1795 y Fl(2)2899 1823 y Fw(+)22 b Fj(y)3049
43949 1795 y Fl(2)3126 1823 y Fw(from)37 b(the)i(origin)472
43950 1932 y(at)33 b(whic)m(h)g(a)f(deca)m(y)i(is)e(allo)m(w)m(ed)g(to)g(tak)
43951 m(e)i(place)e(in)g(the)h Fq(MSTJ\(22\)=4)i Fw(option.)0
43952 2040 y Fq(PARJ\(74\))53 b(:)48 b Fw(\(D=1000)d(mm\))g(maxim)m(um)f(z)j
43953 (distance)g(from)f(the)h(origin)d(at)i(whic)m(h)i(a)e(deca)m(y)i(is)472
43954 2148 y(allo)m(w)m(ed)32 b(to)h(tak)m(e)g(place)f(in)g(the)h
43955 Fq(MSTJ\(22\)=4)i Fw(option.)0 2277 y Fq(PARJ\(76\))53
43956 b(:)48 b Fw(\(D=0.7\))31 b(mixing)g(parameter)h Fj(x)1787
43957 2292 y Fh(d)1855 2277 y Fw(=)c(\001)p Fj(M)5 b(=)p Fw(\000)33
43958 b(in)f(B)2465 2241 y Fl(0)2504 2277 y Fw({)p 2553 2199
43959 70 4 v(B)2622 2219 y Fl(0)2694 2277 y Fw(system.)0 2412
43960 y Fq(PARJ\(77\))53 b(:)48 b Fw(\(D=10.\))42 b(mixing)31
43961 b(parameter)h Fj(x)1798 2427 y Fh(s)1863 2412 y Fw(=)27
43962 b(\001)p Fj(M)5 b(=)p Fw(\000)33 b(in)f(B)2472 2375 y
43963 Fl(0)2472 2436 y Fh(s)2511 2412 y Fw({)p 2560 2334 V(B)2629
43964 2353 y Fl(0)2629 2436 y Fh(s)2701 2412 y Fw(system.)0
43965 2520 y Fq(PARJ\(81\))53 b(-)f(PARJ\(89\))h(:)48 b Fw(parameters)32
43966 b(for)g(time-lik)m(e)e(parton)j(sho)m(w)m(ers,)i(see)e(section)g(10.4.)
43967 0 2628 y Fq(PARJ\(91\))53 b(:)48 b Fw(\(D=0.020)35 b(GeV\))h(minim)m
43968 (um)c(particle)j(width)h(in)g Fq(PMAS\(KC,2\))p Fw(,)j(ab)s(o)m(v)m(e)e
43969 (whic)m(h)g(par-)472 2737 y(ticle)h(deca)m(ys)i(are)e(assumed)h(to)f
43970 (tak)m(e)h(place)f(b)s(efore)g(the)h(stage)g(where)g(Bose{Einstein)472
43971 2845 y(e\013ects)34 b(are)f(in)m(tro)s(duced.)0 2953
43972 y Fq(PARJ\(92\))53 b(:)48 b Fw(\(D=1.\))e(nominal)31
43973 b(strength)k(of)e(Bose{Einstein)h(e\013ects)h(for)e Fj(Q)d
43974 Fw(=)g(0,)j(see)i Fq(MSTJ\(51\))p Fw(.)472 3062 y(This)26
43975 b(parameter,)h(often)e(denoted)i Fj(\025)p Fw(,)g(expresses)h(the)e
43976 (amoun)m(t)f(of)h(incoherence)g(in)f(parti-)472 3170
43977 y(cle)f(pro)s(duction.)39 b(Due)24 b(to)f(the)h(simpli\014ed)d(picture)
43978 i(used)i(for)e(the)h(Bose{Einstein)f(e\013ects,)472 3278
43979 y(in)37 b(particular)f(for)h(e\013ects)i(from)d(three)i(nearb)m(y)h
43980 (iden)m(tical)c(particles,)j(the)g(actual)f Fj(\025)g
43981 Fw(of)472 3387 y(the)c(sim)m(ulated)f(ev)m(en)m(ts)j(ma)m(y)d(b)s(e)h
43982 (larger)e(than)i(the)g(input)f(v)-5 b(alue.)0 3495 y
43983 Fq(PARJ\(93\))53 b(:)48 b Fw(\(D=0.20)e(GeV\))h(size)h(of)e(the)i
43984 (Bose{Einstein)f(e\013ect)i(region)d(in)h(terms)g(of)g(the)g
43985 Fj(Q)472 3603 y Fw(v)-5 b(ariable,)54 b(see)e Fq(MSTJ\(51\))p
43986 Fw(.)101 b(The)52 b(more)e(con)m(v)m(en)m(tional)h(measure,)56
43987 b(in)50 b(terms)h(of)f(the)472 3712 y(radius)56 b Fj(R)g
43988 Fw(of)f(the)h(pro)s(duction)f(v)m(olume,)61 b(is)55 b(giv)m(en)h(b)m(y)
43989 g Fj(R)68 b Fw(=)f(\026)-50 b Fj(h=)p Fq(PARJ\(93\))p
43990 Fn(\031)69 b Fw(0)p Fj(:)p Fw(2)472 3820 y(fm)p Fn(\002)p
43991 Fw(GeV/)p Fq(PARJ\(93\))p Fw(=)p Fq(PARU\(3\))p Fw(/)p
43992 Fq(PARJ\(93\))p Fw(.)0 3928 y Fq(PARJ\(121\))54 b(-)d(PARJ\(171\))j(:)
43993 47 b Fw(parameters)33 b(for)f(e)1923 3892 y Fl(+)1982
43994 3928 y Fw(e)2025 3892 y Fk(\000)2117 3928 y Fw(ev)m(en)m(t)j
43995 (generation,)d(see)h(section)g(6.3.)0 4202 y Fp(14.5)136
43996 b(Couplings)0 4375 y Fw(In)40 b(this)f(section)g(w)m(e)h(collect)f
43997 (information)d(on)j(the)h(t)m(w)m(o)g(routines)f(for)f(running)h
43998 Fj(\013)3130 4390 y Fl(s)3202 4375 y Fw(and)g Fj(\013)3460
43999 4390 y Fl(em)3554 4375 y Fw(,)i(and)0 4483 y(on)h(other)f(couplings)g
44000 (of)g(standard)h(and)g(non-standard)g(particles.)69 b(Although)41
44001 b(originally)d(b)s(egun)0 4592 y(for)46 b Fm(Jetset)f
44002 Fw(applications,)j(this)e(section)h(has)g(rapidly)e(expanded)j(to)m(w)m
44003 (ards)f(the)g(non-standard)0 4700 y(asp)s(ects,)38 b(and)d(is)g(th)m
44004 (us)i(more)d(of)h(in)m(terest)i(for)d Fm(Pythia)i Fw(applications)e
44005 (than)h(for)g Fm(Jetset)f Fw(itself.)51 b(It)0 4808 y(could)25
44006 b(therefore)g(equally)g(w)m(ell)f(ha)m(v)m(e)i(b)s(een)g(put)g
44007 (somewhere)g(else)f(in)f(this)h(man)m(ual.)40 b(A)25
44008 b(few)g(couplings)0 4917 y(indeed)33 b(app)s(ear)f(in)g(the)h
44009 Fq(PARP)h Fw(arra)m(y)-8 b(,)32 b(see)i(section)f(9.3.)p
44010 0 5061 1030 9 v 0 5286 9 225 v 79 5201 a Fq(ALEM)52 b(=)g(ULALEM\(Q2\))
44011 p 1022 5286 V 0 5294 1030 9 v 0 5426 a Fo(Purp)s(ose:)c
44012 Fw(to)35 b(calculate)g(the)i(running)e(electromagnetic)g(coupling)g
44013 (constan)m(t)h Fj(\013)3105 5441 y Fl(em)3200 5426 y
44014 Fw(.)54 b(Expressions)472 5534 y(used)29 b(are)f(describ)s(ed)h(in)e
44015 (ref.)42 b([Kle89)n(].)g(See)29 b Fq(MSTU\(101\))p Fw(,)i
44016 Fq(PARU\(101\))p Fw(,)g Fq(PARU\(103\))f Fw(and)472 5642
44017 y Fq(PARU\(104\))p Fw(.)1817 5953 y(274)p eop
44018 %%Page: 275 281
44019 275 280 bop 0 -18 a Fq(Q2)52 b(:)267 b Fw(the)33 b(momen)m(tum)f
44020 (transfer)h(scale)f Fj(Q)1824 -55 y Fl(2)1896 -18 y Fw(at)h(whic)m(h)g
44021 (to)f(ev)-5 b(aluate)32 b Fj(\013)2858 -3 y Fl(em)2952
44022 -18 y Fw(.)p 0 126 1030 9 v 0 351 9 225 v 79 266 a Fq(ALPS)52
44023 b(=)g(ULALPS\(Q2\))p 1022 351 V 0 359 1030 9 v 0 491
44024 a Fo(Purp)s(ose:)c Fw(to)36 b(calculate)g(the)i(running)e(strong)h
44025 (coupling)f(constan)m(t)i Fj(\013)2712 506 y Fl(s)2744
44026 491 y Fw(.)57 b(The)38 b(\014rst-)f(and)g(second-)472
44027 599 y(order)23 b(expressions)i(are)e(giv)m(en)g(b)m(y)g(eqs.)i(\(27\))d
44028 (and)h(\(32\).)39 b(See)24 b Fq(MSTU\(111\))54 b(-)d(MSTU\(118\))472
44029 707 y Fw(and)33 b Fq(PARU\(111\))54 b(-)d(PARU\(118\))35
44030 b Fw(for)d(options.)0 816 y Fq(Q2)52 b(:)267 b Fw(the)33
44031 b(momen)m(tum)f(transfer)h(scale)f Fj(Q)1824 779 y Fl(2)1896
44032 816 y Fw(at)h(whic)m(h)g(to)f(ev)-5 b(aluate)32 b Fj(\013)2858
44033 831 y Fl(s)2890 816 y Fw(.)p 0 960 2876 9 v 0 1185 9
44034 225 v 79 1100 a Fq(COMMON/LUDAT1/MSTU\(200\),)q(PARU)q(\(200)q(\),MS)q
44035 (TJ\()q(200\))q(,PAR)q(J\(20)q(0\))p 2867 1185 V 0 1193
44036 2876 9 v 0 1325 a Fo(Purp)s(ose:)48 b Fw(to)31 b(giv)m(e)h(access)i(to)
44037 d(a)h(n)m(um)m(b)s(er)g(of)f(status)i(co)s(des)g(and)f(parameters)f
44038 (whic)m(h)i(regulate)e(the)472 1433 y(p)s(erformance)j(of)g(the)h
44039 (program)e(as)h(a)g(whole.)49 b(Here)35 b(only)f(those)h(related)e(to)h
44040 (couplings)472 1541 y(are)f(describ)s(ed;)h(the)f(main)d(description)j
44041 (is)f(found)g(in)g(section)h(14.4.)0 1704 y Fq(MSTU\(101\))54
44042 b(:)47 b Fw(\(D=1\))32 b(pro)s(cedure)h(for)f Fj(\013)1582
44043 1719 y Fl(em)1709 1704 y Fw(ev)-5 b(aluation)31 b(in)h(the)h
44044 Fq(ULALEM)h Fw(function.)236 1812 y Fq(=)52 b(0)f(:)217
44045 b Fj(\013)771 1827 y Fl(em)898 1812 y Fw(is)32 b(tak)m(en)h(\014xed)h
44046 (at)e(the)h(v)-5 b(alue)32 b Fq(PARU\(101\))p Fw(.)236
44047 1920 y Fq(=)52 b(1)f(:)217 b Fj(\013)771 1935 y Fl(em)904
44048 1920 y Fw(is)38 b(running)g(with)h(the)g Fj(Q)1857 1884
44049 y Fl(2)1936 1920 y Fw(scale,)h(taking)e(in)m(to)g(accoun)m(t)i
44050 (corrections)f(from)709 2029 y(fermion)31 b(lo)s(ops)g(\(e,)i
44051 Fj(\026)p Fw(,)f Fj(\034)11 b Fw(,)33 b(d,)g(u,)g(s,)g(c,)g(b\).)236
44052 2137 y Fq(=)52 b(2)f(:)217 b Fj(\013)771 2152 y Fl(em)904
44053 2137 y Fw(is)38 b(\014xed,)j(but)e(with)f(separate)i(v)-5
44054 b(alues)38 b(at)h(lo)m(w)f(and)g(high)g Fj(Q)3182 2101
44055 y Fl(2)3222 2137 y Fw(.)62 b(F)-8 b(or)37 b Fj(Q)3568
44056 2101 y Fl(2)3647 2137 y Fw(b)s(e-)709 2246 y(lo)m(w)e(\(ab)s(o)m(v)m
44057 (e\))i Fq(PARU\(104\))h Fw(the)f(v)-5 b(alue)35 b Fq(PARU\(101\))k
44058 Fw(\()p Fq(PARU\(103\))p Fw(\))f(is)d(used.)56 b(The)709
44059 2354 y(former)45 b(v)-5 b(alue)45 b(is)h(then)g(in)m(tended)h(for)e
44060 (real)g(photon)h(emission,)j(the)d(latter)f(for)709 2462
44061 y(electro)m(w)m(eak)34 b(ph)m(ysics,)g(e.g.)44 b(of)32
44062 b(the)h(W)q Fj(=)p Fw(Z)f(gauge)g(b)s(osons.)0 2571 y
44063 Fq(MSTU\(111\))54 b(:)47 b Fw(\(D=1\))c(order)i(of)f
44064 Fj(\013)1382 2586 y Fl(s)1458 2571 y Fw(ev)-5 b(aluation)43
44065 b(in)g(the)i Fq(ULALPS)h Fw(function.)78 b(Is)45 b(o)m(v)m(erwritten)g
44066 (in)472 2679 y Fq(LUEEVT)p Fw(,)39 b Fq(LUONIA)f Fw(or)e
44067 Fq(PYINIT)i Fw(calls)e(with)g(the)h(v)-5 b(alue)36 b(desired)i(for)e
44068 (the)h(pro)s(cess)h(under)472 2787 y(study)-8 b(.)236
44069 2896 y Fq(=)52 b(0)f(:)217 b Fj(\013)771 2911 y Fl(s)835
44070 2896 y Fw(is)32 b(\014xed)i(at)e(the)h(v)-5 b(alue)32
44071 b Fq(PARU\(111\))p Fw(.)236 3004 y Fq(=)52 b(1)f(:)217
44072 b Fw(\014rst-order)32 b(running)h Fj(\013)1590 3019 y
44073 Fl(s)1654 3004 y Fw(is)f(used.)236 3112 y Fq(=)52 b(2)f(:)217
44074 b Fw(second-order)33 b(running)f Fj(\013)1703 3127 y
44075 Fl(s)1768 3112 y Fw(is)g(used.)0 3221 y Fq(MSTU\(112\))54
44076 b(:)47 b Fw(\(D=5\))32 b(the)i(nominal)c(n)m(um)m(b)s(er)k(of)e(\015a)m
44077 (v)m(ours)j(assumed)e(in)g(the)g Fj(\013)3027 3236 y
44078 Fl(s)3092 3221 y Fw(expression,)i(with)472 3329 y(resp)s(ect)f(to)f
44079 (whic)m(h)g(\003)f(is)g(de\014ned.)0 3437 y Fq(MSTU\(113\))54
44080 b(:)47 b Fw(\(D=3\))27 b(minim)m(um)d(n)m(um)m(b)s(er)k(of)f(\015a)m(v)
44081 m(ours)i(that)f(ma)m(y)f(b)s(e)h(assumed)h(in)d Fj(\013)3255
44082 3452 y Fl(s)3315 3437 y Fw(expression,)472 3546 y(see)34
44083 b Fq(MSTU\(112\))p Fw(.)0 3654 y Fq(MSTU\(114\))54 b(:)47
44084 b Fw(\(D=5\))25 b(maxim)m(um)f(n)m(um)m(b)s(er)i(of)f(\015a)m(v)m(ours)
44085 j(that)d(ma)m(y)h(b)s(e)g(assumed)h(in)e Fj(\013)3257
44086 3669 y Fl(s)3315 3654 y Fw(expression,)472 3762 y(see)34
44087 b Fq(MSTU\(112\))p Fw(.)0 3871 y Fq(MSTU\(115\))54 b(:)47
44088 b Fw(\(D=0\))32 b(treatmen)m(t)g(of)g Fj(\013)1544 3886
44089 y Fl(s)1609 3871 y Fw(singularit)m(y)f(for)h Fj(Q)2318
44090 3835 y Fl(2)2385 3871 y Fn(!)27 b Fw(0.)236 3979 y Fq(=)52
44091 b(0)f(:)217 b Fw(allo)m(w)31 b(it)g(to)h(div)m(erge)h(lik)m(e)f(1)p
44092 Fj(=)17 b Fw(ln)o(\()p Fj(Q)2003 3943 y Fl(2)2042 3979
44093 y Fj(=)p Fw(\003)2159 3943 y Fl(2)2198 3979 y Fw(\).)236
44094 4087 y Fq(=)52 b(1)f(:)217 b Fw(soften)33 b(the)g(div)m(ergence)h(to)e
44095 (1)p Fj(=)17 b Fw(ln)n(\(1)22 b(+)g Fj(Q)2237 4051 y
44096 Fl(2)2277 4087 y Fj(=)p Fw(\003)2394 4051 y Fl(2)2433
44097 4087 y Fw(\).)236 4196 y Fq(=)52 b(2)f(:)217 b Fw(freeze)52
44098 b Fj(Q)1078 4160 y Fl(2)1169 4196 y Fw(ev)m(olution)f(b)s(elo)m(w)h
44099 Fq(PARU\(114\))p Fw(,)59 b(i.e.)99 b(the)52 b(e\013ectiv)m(e)h(argumen)
44100 m(t)e(is)709 4304 y(max)o(\()p Fj(Q)1005 4268 y Fl(2)1045
44101 4304 y Fj(;)p Fq(PARU\(114\))p Fw(\).)0 4412 y Fq(MSTU\(118\))j(:)47
44102 b Fw(\(I\))33 b(n)m(um)m(b)s(er)g(of)f(\015a)m(v)m(ours)i
44103 Fj(n)1640 4427 y Fh(f)1718 4412 y Fw(found)f(and)f(used)i(in)e(latest)g
44104 Fq(ULALPS)i Fw(call.)0 4575 y Fq(PARU\(101\))54 b(:)47
44105 b Fw(\(D=0.00729735=1/137.04\))20 b Fj(\013)1834 4590
44106 y Fl(em)1929 4575 y Fw(,)26 b(the)f(electromagnetic)e(\014ne)i
44107 (structure)h(constan)m(t)472 4683 y(at)33 b(v)-5 b(anishing)31
44108 b(momen)m(tum)g(transfer.)0 4792 y Fq(PARU\(102\))54
44109 b(:)47 b Fw(\(D=0.232\))j(sin)1231 4752 y Fl(2)1270 4792
44110 y Fj(\022)1315 4807 y Fh(W)1396 4792 y Fw(,)57 b(the)52
44111 b(w)m(eak)h(mixing)d(angle)h(of)g(the)h(standard)g(electro)m(w)m(eak)
44112 472 4900 y(mo)s(del.)0 5008 y Fq(PARU\(103\))i(:)47 b
44113 Fw(\(D=0.007764=1/128.8\))57 b(t)m(ypical)j Fj(\013)2072
44114 5023 y Fl(em)2228 5008 y Fw(in)g(electro)m(w)m(eak)i(pro)s(cesses;)77
44115 b(used)62 b(for)472 5117 y Fj(Q)549 5080 y Fl(2)617 5117
44116 y Fj(>)p Fq(PARU\(104\))35 b Fw(in)c(the)i(option)f Fq(MSTU\(101\)=2)j
44117 Fw(of)k Fq(ULALEM)p Fw(.)0 5225 y Fq(PARU\(104\))54 b(:)47
44118 b Fw(\(D=1)30 b(GeV)1072 5189 y Fl(2)1111 5225 y Fw(\))g(dividing)f
44119 (line)g(b)s(et)m(w)m(een)k(`lo)m(w')d(and)h(`high')e
44120 Fj(Q)2872 5189 y Fl(2)2943 5225 y Fw(v)-5 b(alues)30
44121 b(in)g(the)h(option)472 5333 y Fq(MSTU\(101\)=2)36 b
44122 Fw(of)j Fq(ULALEM)p Fw(.)0 5442 y Fq(PARU\(105\))54 b(:)47
44123 b Fw(\(D=1.16639E-5)30 b(GeV)1492 5405 y Fk(\000)p Fl(2)1587
44124 5442 y Fw(\))i Fj(G)1734 5457 y Fl(F)1784 5442 y Fw(,)h(the)g(F)-8
44125 b(ermi)31 b(constan)m(t)i(of)f(w)m(eak)i(in)m(teractions.)0
44126 5550 y Fq(PARU\(108\))54 b(:)47 b Fw(\(I\))33 b(the)g
44127 Fj(\013)985 5565 y Fl(em)1112 5550 y Fw(v)-5 b(alue)32
44128 b(obtained)g(in)f(the)i(latest)g(call)d(to)j(the)g Fq(ULALEM)h
44129 Fw(function.)0 5658 y Fq(PARU\(111\))54 b(:)47 b Fw(\(D=0.20\))33
44130 b(\014x)i Fj(\013)1247 5673 y Fl(s)1313 5658 y Fw(v)-5
44131 b(alue)34 b(assumed)h(in)e Fq(ULALPS)j Fw(when)f Fq(MSTU\(111\)=0)j
44132 Fw(\(and)c(also)f(in)1817 5953 y(275)p eop
44133 %%Page: 276 282
44134 276 281 bop 472 -18 a Fw(parton)33 b(sho)m(w)m(ers)i(when)e
44135 Fj(\013)1462 -3 y Fl(s)1527 -18 y Fw(is)f(assumed)h(\014x)g(there\).)0
44136 90 y Fq(PARU\(112\))54 b(:)47 b Fw(\(D=0.25)25 b(GeV\))i(\003)f(used)h
44137 (in)f(running)g Fj(\013)2094 105 y Fl(s)2152 90 y Fw(expression)i(in)d
44138 Fq(ULALPS)p Fw(.)k(Lik)m(e)d Fq(MSTU\(111\))p Fw(,)472
44139 198 y(this)h(v)-5 b(alue)26 b(is)h(o)m(v)m(erwritten)h(b)m(y)f(the)h
44140 (calling)c(ph)m(ysics)k(routines,)g(and)f(is)g(therefore)g(purely)472
44141 307 y(nominal.)0 415 y Fq(PARU\(113\))54 b(:)47 b Fw(\(D=1.\))64
44142 b(the)40 b(\015a)m(v)m(our)h(thresholds,)h(for)d(the)h(e\013ectiv)m(e)h
44143 (n)m(um)m(b)s(er)f(of)f(\015a)m(v)m(ours)j Fj(n)3608
44144 430 y Fh(f)3693 415 y Fw(to)472 523 y(use)30 b(in)d(the)i
44145 Fj(\013)972 538 y Fl(s)1032 523 y Fw(expression,)i(are)d(assumed)h(to)f
44146 (sit)g(at)g Fj(Q)2510 487 y Fl(2)2578 523 y Fw(=)p Fq(PARU\(113\))p
44147 Fn(\002)p Fj(m)3275 487 y Fl(2)3275 548 y(q)3319 523
44148 y Fw(,)h(where)h Fj(m)3738 538 y Fl(q)472 632 y Fw(is)j(the)g(quark)g
44149 (mass.)43 b(Ma)m(y)34 b(b)s(e)f(o)m(v)m(erwritten)g(from)f(the)h
44150 (calling)c(ph)m(ysics)35 b(routine.)0 740 y Fq(PARU\(114\))54
44151 b(:)47 b Fw(\(D=4)40 b(GeV)1082 704 y Fl(2)1121 740 y
44152 Fw(\))g Fj(Q)1276 704 y Fl(2)1356 740 y Fw(v)-5 b(alue)40
44153 b(b)s(elo)m(w)g(whic)m(h)h(the)g Fj(\013)2425 755 y Fl(s)2497
44154 740 y Fw(v)-5 b(alue)40 b(is)g(assumed)h(constan)m(t)g(for)472
44155 848 y Fq(MSTU\(115\)=2)p Fw(.)0 957 y Fq(PARU\(115\))54
44156 b(:)47 b Fw(\(D=10.\))42 b(maxim)m(um)31 b Fj(\013)1523
44157 972 y Fl(s)1587 957 y Fw(v)-5 b(alue)32 b(that)g Fq(ULALPS)i
44158 Fw(will)d(ev)m(er)i(return;)h(is)e(used)h(as)g(a)f(last)472
44159 1065 y(resort)h(to)g(a)m(v)m(oid)f(singularities.)0 1173
44160 y Fq(PARU\(117\))54 b(:)47 b Fw(\(I\))26 b(\003)f(v)-5
44161 b(alue)25 b(\(asso)s(ciated)g(with)h Fq(MSTU\(118\))i
44162 Fw(e\013ectiv)m(e)e(\015a)m(v)m(ours\))h(obtained)e(in)g(latest)472
44163 1282 y Fq(ULALPS)35 b Fw(call.)0 1390 y Fq(PARU\(118\))54
44164 b(:)47 b Fw(\(I\))33 b Fj(\013)817 1405 y Fl(s)881 1390
44165 y Fw(v)-5 b(alue)32 b(obtained)g(in)g(latest)g Fq(ULALPS)i
44166 Fw(call.)0 1498 y Fq(PARU\(121\))54 b(-)d(PARU\(130\))j(:)47
44167 b Fw(couplings)36 b(of)h(a)g(new)h(Z)2126 1462 y Fk(0)p
44168 Fl(0)2184 1498 y Fw(;)h(for)e(fermion)e(default)h(v)-5
44169 b(alues)37 b(are)g(giv)m(en)472 1607 y(b)m(y)32 b(the)e(Standard)g(Mo)s
44170 (del)g(Z)1547 1571 y Fl(0)1616 1607 y Fw(v)-5 b(alues,)31
44171 b(assuming)e(sin)2473 1567 y Fl(2)2513 1607 y Fj(\022)2558
44172 1622 y Fh(W)2666 1607 y Fw(=)f(0)p Fj(:)p Fw(23.)42 b(Note)30
44173 b(that)g(e.g.)43 b(the)472 1715 y(Z)532 1679 y Fk(0)p
44174 Fl(0)627 1715 y Fw(width)36 b(con)m(tains)g(squared)i(couplings,)e(and)
44175 g(th)m(us)i(dep)s(ends)g(quadratically)c(on)i(the)472
44176 1823 y(v)-5 b(alues)33 b(b)s(elo)m(w.)236 1932 y Fq(PARU\(121\),)54
44177 b(PARU\(122\))g(:)47 b Fw(\(D=-0.693,-1.\))c(v)m(ector)35
44178 b(and)e(axial)e(couplings)i(of)f(do)m(wn)j(t)m(yp)s(e)709
44179 2040 y(quarks)f(to)e(Z)1203 2004 y Fk(0)p Fl(0)1261 2040
44180 y Fw(.)236 2148 y Fq(PARU\(123\),)54 b(PARU\(124\))g(:)47
44181 b Fw(\(D=0.387,1.\))105 b(v)m(ector)54 b(and)g(axial)d(couplings)i(of)g
44182 (up)h(t)m(yp)s(e)709 2257 y(quarks)34 b(to)e(Z)1203 2221
44183 y Fk(0)p Fl(0)1261 2257 y Fw(.)236 2365 y Fq(PARU\(125\),)54
44184 b(PARU\(126\))g(:)47 b Fw(\(D=-0.08,-1.\))67 b(v)m(ector)42
44185 b(and)f(axial)e(couplings)h(of)h(leptons)g(to)709 2473
44186 y(Z)769 2437 y Fk(0)p Fl(0)827 2473 y Fw(.)236 2582 y
44187 Fq(PARU\(127\),)54 b(PARU\(128\))g(:)47 b Fw(\(D=1.,1.\))41
44188 b(v)m(ector)30 b(and)e(axial)f(couplings)g(of)h(neutrinos)g(to)g(Z)3694
44189 2546 y Fk(0)p Fl(0)3752 2582 y Fw(.)236 2690 y Fq(PARU\(129\))54
44190 b(:)47 b Fw(\(D=1.\))56 b(the)38 b(coupling)d Fj(Z)1847
44191 2654 y Fk(0)p Fl(0)1941 2690 y Fn(!)g Fw(W)2177 2654
44192 y Fl(+)2236 2690 y Fw(W)2337 2654 y Fk(\000)2434 2690
44193 y Fw(is)h(tak)m(en)i(to)f(b)s(e)g Fq(PARU\(129\))p Fn(\002)p
44194 Fw(\(the)709 2798 y(Standard)50 b(Mo)s(del)h(Z)1526 2762
44195 y Fl(0)1623 2798 y Fn(!)58 b Fw(W)1882 2762 y Fl(+)1942
44196 2798 y Fw(W)2043 2762 y Fk(\000)2153 2798 y Fw(coupling\))p
44197 Fn(\002)p Fw(\()p Fj(m)2750 2813 y Fl(W)2827 2798 y Fj(=m)2961
44198 2813 y Fl(Z)3004 2794 y Fd(0)3031 2798 y Fw(\))3069 2762
44199 y Fl(2)3108 2798 y Fw(.)98 b(This)51 b(giv)m(es)g(a)709
44200 2907 y(Z)769 2871 y Fk(0)p Fl(0)875 2907 y Fn(!)c Fw(W)1123
44201 2871 y Fl(+)1183 2907 y Fw(W)1284 2871 y Fk(\000)1388
44202 2907 y Fw(partial)42 b(width)i(that)g(increases)i(prop)s(ortionately)c
44203 (to)i(the)h(Z)3721 2871 y Fk(0)p Fl(0)709 3015 y Fw(mass.)236
44204 3123 y Fq(PARU\(130\))54 b(:)47 b Fw(\(D=0.\))i(in)34
44205 b(the)i(deca)m(y)g(c)m(hain)e(Z)2078 3087 y Fk(0)p Fl(0)2168
44206 3123 y Fn(!)d Fw(W)2400 3087 y Fl(+)2460 3123 y Fw(W)2561
44207 3087 y Fk(\000)2652 3123 y Fn(!)g Fw(4)j(fermions,)h(the)g(angular)709
44208 3232 y(distribution)d(in)h(the)i(W)g(deca)m(ys)h(is)e(supp)s(osed)h(to)
44209 f(b)s(e)g(a)g(mixture,)g(with)g(fraction)709 3340 y Fq(1-PARU\(130\))25
44210 b Fw(corresp)s(onding)e(to)f(the)h(same)f(angular)g(distribution)e(b)s
44211 (et)m(w)m(een)25 b(the)709 3448 y(four)38 b(\014nal)h(fermions)f(as)h
44212 (in)f(Z)1848 3412 y Fl(0)1926 3448 y Fn(!)g Fw(W)2165
44213 3412 y Fl(+)2225 3448 y Fw(W)2326 3412 y Fk(\000)2425
44214 3448 y Fw(\(mixture)g(of)h(transv)m(erse)i(and)e(lon-)709
44215 3557 y(gitudinal)31 b(W)q('s\),)36 b(and)e(fraction)f
44216 Fq(PARU\(130\))j Fw(corresp)s(onding)e(to)g(H)3259 3521
44217 y Fl(0)3328 3557 y Fn(!)c Fw(W)3559 3521 y Fl(+)3619
44218 3557 y Fw(W)3720 3521 y Fk(\000)709 3665 y Fw(the)j(same)f(w)m(a)m(y)i
44219 (\(longitudinal)29 b(W)q('s\).)0 3774 y Fq(PARU\(131\))54
44220 b(-)d(PARU\(136\))j(:)47 b Fw(couplings)27 b(of)f(a)h(new)h(W)2127
44221 3737 y Fk(0\006)2206 3774 y Fw(;)h(for)d(fermions)g(default)g(v)-5
44222 b(alues)27 b(are)g(giv)m(en)472 3882 y(b)m(y)46 b(the)e(Standard)h(Mo)s
44223 (del)f(W)1645 3846 y Fk(\006)1748 3882 y Fw(v)-5 b(alues)45
44224 b(\(i.e.)78 b Fj(V)51 b Fn(\000)31 b Fj(A)p Fw(\).)79
44225 b(Note)44 b(that)g(e.g.)79 b(the)45 b(W)3701 3846 y Fk(0\006)472
44226 3990 y Fw(width)22 b(con)m(tains)h(squared)g(couplings,)g(and)g(th)m
44227 (us)g(dep)s(ends)h(quadratically)c(on)i(the)h(v)-5 b(alues)472
44228 4099 y(b)s(elo)m(w.)236 4207 y Fq(PARU\(131\),)54 b(PARU\(132\))g(:)47
44229 b Fw(\(D=1.,-1.\))127 b(v)m(ector)62 b(and)g(axial)d(couplings)h(of)g
44230 (a)h(quark{)709 4315 y(an)m(tiquark)23 b(pair)g(to)g(W)1544
44231 4279 y Fk(0\006)1623 4315 y Fw(;)j(is)e(further)f(m)m(ultiplied)e(b)m
44232 (y)j(the)g(ordinary)f(CKM)h(factors.)236 4424 y Fq(PARU\(133\),)54
44233 b(PARU\(134\))g(:)47 b Fw(\(D=1.,-1.\))126 b(v)m(ector)61
44234 b(and)g(axial)d(couplings)i(of)f(a)h(lepton-)709 4532
44235 y(neutrino)32 b(pair)f(to)i(W)1520 4496 y Fk(0\006)1598
44236 4532 y Fw(.)236 4640 y Fq(PARU\(135\))54 b(:)47 b Fw(\(D=1.\))59
44237 b(the)39 b(coupling)e(W)1880 4604 y Fk(0\006)1995 4640
44238 y Fn(!)g Fw(Z)2192 4604 y Fl(0)2231 4640 y Fw(W)2332
44239 4604 y Fk(\006)2430 4640 y Fw(is)g(tak)m(en)i(to)f(b)s(e)g
44240 Fq(PARU\(135\))p Fn(\002)p Fw(\(the)709 4749 y(Standard)48
44241 b(Mo)s(del)f(W)1561 4712 y Fk(\006)1674 4749 y Fn(!)53
44242 b Fw(Z)1887 4712 y Fl(0)1926 4749 y Fw(W)2027 4712 y
44243 Fk(\006)2134 4749 y Fw(coupling\))p Fn(\002)p Fw(\()p
44244 Fj(m)2731 4764 y Fl(W)2808 4749 y Fj(=m)2942 4764 y Fh(W)3019
44245 4745 y Fd(0)3045 4749 y Fw(\))3083 4712 y Fl(2)3123 4749
44246 y Fw(.)89 b(This)48 b(giv)m(es)g(a)709 4857 y(W)810 4821
44247 y Fk(0\006)935 4857 y Fn(!)f Fw(Z)1142 4821 y Fl(0)1181
44248 4857 y Fw(W)1282 4821 y Fk(\006)1385 4857 y Fw(partial)42
44249 b(width)h(that)h(increases)h(prop)s(ortionately)d(to)h(the)i(W)3756
44250 4821 y Fk(0)709 4965 y Fw(mass.)236 5074 y Fq(PARU\(136\))54
44251 b(:)47 b Fw(\(D=0.\))i(in)34 b(the)i(deca)m(y)g(c)m(hain)e(W)2119
44252 5037 y Fk(0\006)2230 5074 y Fn(!)d Fw(Z)2421 5037 y Fl(0)2460
44253 5074 y Fw(W)2561 5037 y Fk(\006)2652 5074 y Fn(!)g Fw(4)j(fermions,)h
44254 (the)g(angular)709 5182 y(distribution)23 b(in)h(the)h(W)q
44255 Fj(=)p Fw(Z)g(deca)m(ys)i(is)d(supp)s(osed)j(to)d(b)s(e)i(a)e(mixture,)
44256 i(with)f(fraction)709 5290 y Fq(1-PARU\(130\))48 b Fw(corresp)s(onding)
44257 d(to)g(the)g(same)g(angular)f(distribution)f(b)s(et)m(w)m(een)709
44258 5399 y(the)e(four)g(\014nal)f(fermions)g(as)i(in)e(W)2076
44259 5363 y Fk(\006)2178 5399 y Fn(!)h Fw(Z)2379 5363 y Fl(0)2419
44260 5399 y Fw(W)2520 5363 y Fk(\006)2620 5399 y Fw(\(mixture)f(of)h(transv)
44261 m(erse)i(and)709 5507 y(longitudinal)e(W)q Fj(=)p Fw(Z's\),)48
44262 b(and)c(fraction)f Fq(PARU\(130\))k Fw(corresp)s(onding)e(to)f(H)3573
44263 5471 y Fk(\006)3680 5507 y Fn(!)709 5615 y Fw(Z)769 5579
44264 y Fl(0)808 5615 y Fw(W)909 5579 y Fk(\006)1001 5615 y
44265 Fw(the)33 b(same)f(w)m(a)m(y)i(\(longitudinal)29 b(W)q
44266 Fj(=)p Fw(Z's\).)1817 5953 y(276)p eop
44267 %%Page: 277 283
44268 277 282 bop 0 -18 a Fq(PARU\(141\))54 b(:)47 b Fw(\(D=5.\))54
44269 b(tan)16 b Fj(\014)42 b Fw(parameter)36 b(of)f(a)h(t)m(w)m(o)h(Higgs)f
44270 (doublet)g(scenario,)h(i.e.)54 b(the)36 b(ratio)f(of)472
44271 90 y(v)-5 b(acuum)38 b(exp)s(ectation)g(v)-5 b(alues.)60
44272 b(This)38 b(a\013ects)h(mass)f(relations)f(and)h(couplings)f(in)g(the)
44273 472 198 y(Higgs)32 b(sector.)0 307 y Fq(PARU\(142\))54
44274 b(:)47 b Fw(\(D=1.\))56 b(the)38 b(Z)1203 270 y Fl(0)1278
44275 307 y Fn(!)d Fw(H)1486 270 y Fl(+)1545 307 y Fw(H)1618
44276 270 y Fk(\000)1714 307 y Fw(coupling)h(is)h(tak)m(en)h(to)f(b)s(e)g
44277 Fq(PARU\(142\))p Fn(\002)p Fw(\(the)j(MSSM)472 415 y(Z)532
44278 379 y Fl(0)599 415 y Fn(!)27 b Fw(H)799 379 y Fl(+)859
44279 415 y Fw(H)932 379 y Fk(\000)1023 415 y Fw(coupling\).)0
44280 523 y Fq(PARU\(143\))54 b(:)47 b Fw(\(D=1.\))52 b(the)37
44281 b(Z)1198 487 y Fk(0)p Fl(0)1289 523 y Fn(!)c Fw(H)1495
44282 487 y Fl(+)1554 523 y Fw(H)1627 487 y Fk(\000)1722 523
44283 y Fw(coupling)i(is)g(tak)m(en)i(to)e(b)s(e)h Fq(PARU\(143\))p
44284 Fn(\002)p Fw(\(the)j(MSSM)472 632 y(Z)532 595 y Fl(0)599
44285 632 y Fn(!)27 b Fw(H)799 595 y Fl(+)859 632 y Fw(H)932
44286 595 y Fk(\000)1023 632 y Fw(coupling\).)0 740 y Fq(PARU\(145\))54
44287 b(:)47 b Fw(\(D=1.\))42 b(quadratically)28 b(m)m(ultiplicativ)m(e)e
44288 (factor)k(in)f(the)h(Z)2769 704 y Fk(0)p Fl(0)2855 740
44289 y Fn(!)d Fw(Z)3042 704 y Fl(0)3082 740 y Fw(H)3155 704
44290 y Fl(0)3224 740 y Fw(partial)h(width)472 848 y(in)k(left{righ)m
44291 (t-symmetric)e(mo)s(dels,)h(exp)s(ected)k(to)d(b)s(e)h(unit)m(y)f
44292 (\(see)i([Co)s(c91]\).)0 957 y Fq(PARU\(146\))54 b(:)47
44293 b Fw(\(D=1.\))h(sin\(2)p Fj(\013)q Fw(\))34 b(parameter,)g(en)m(ters)i
44294 (quadratically)d(as)h(m)m(ultiplicativ)m(e)d(factor)j(in)472
44295 1065 y(the)e(W)740 1029 y Fk(0\006)847 1065 y Fn(!)27
44296 b Fw(W)1075 1029 y Fk(\006)1135 1065 y Fw(H)1208 1029
44297 y Fl(0)1279 1065 y Fw(partial)i(width)i(in)f(left{righ)m(t-symmetric)f
44298 (mo)s(dels)h(\(see)i([Co)s(c91]\).)0 1173 y Fq(PARU\(151\))54
44299 b(:)47 b Fw(\(D=1.\))74 b(m)m(ultiplicativ)m(e)40 b(factor)i(in)h(the)g
44300 (L)2267 1188 y Fl(Q)2372 1173 y Fn(!)i Fw(q)p Fj(`)e
44301 Fw(squared)i(Y)-8 b(uk)j(a)m(w)m(a)44 b(coupling,)472
44302 1282 y(and)28 b(thereb)m(y)i(in)d(the)i(L)1339 1297 y
44303 Fl(Q)1426 1282 y Fw(partial)c(width)j(and)g(the)g(q)p
44304 Fj(`)h Fn(!)e Fw(L)2664 1297 y Fl(Q)2751 1282 y Fw(and)h(other)g(cross)
44305 h(sections.)472 1390 y(Sp)s(eci\014cally)-8 b(,)37 b
44306 Fj(\025)1063 1354 y Fl(2)1103 1390 y Fj(=)p Fw(\(4)p
44307 Fj(\031)t Fw(\))e(=)p Fq(PARU\(151\))p Fn(\002)p Fj(\013)2045
44308 1405 y Fl(em)2142 1390 y Fw(,)j(i.e.)56 b(it)37 b(corresp)s(onds)h(to)f
44309 (the)g Fj(k)j Fw(factor)d(of)472 1498 y([Hew88)q(].)0
44310 1607 y Fq(PARU\(153\))54 b(:)47 b Fw(\(D=0.\))52 b(anomalous)34
44311 b(magnetic)h(momen)m(t)g(of)g(the)h(W)2639 1571 y Fk(\006)2699
44312 1607 y Fw(;)h Fj(\021)g Fw(=)c Fj(\024)25 b Fn(\000)f
44313 Fw(1,)37 b(where)g Fj(\021)g Fw(=)c(0)472 1715 y(\()p
44314 Fj(\024)28 b Fw(=)g(1\))k(is)g(the)h(Standard)g(Mo)s(del)f(v)-5
44315 b(alue.)0 1823 y Fq(PARU\(155\))54 b(:)47 b Fw(\(D=1000.)42
44316 b(GeV\))33 b(comp)s(ositeness)f(scale)h(\003.)0 1932
44317 y Fq(PARU\(156\))54 b(:)47 b Fw(\(D=1.\))e(sign)32 b(of)h(in)m
44318 (terference)h(term)f(b)s(et)m(w)m(een)i(standard)f(cross)g(section)f
44319 (and)h(com-)472 2040 y(p)s(osite)f(term)f(\()p Fj(\021)k
44320 Fw(parameter\);)c(should)g(b)s(e)h Fn(\006)p Fw(1.)0
44321 2148 y Fq(PARU\(157\))54 b(-)d(PARU\(159\))j(:)47 b Fw(\(D=3*1.\))63
44322 b(strength)40 b(of)f Fo(SU\(2\))p Fw(,)i Fo(U\(1\))e
44323 Fw(and)g Fo(SU\(3\))g Fw(couplings,)472 2257 y(resp)s(ectiv)m(ely)-8
44324 b(,)34 b(in)e(an)g(excited)i(fermion)d(scenario;)h(cf.)44
44325 b Fj(f)11 b Fw(,)32 b Fj(f)2683 2221 y Fk(0)2739 2257
44326 y Fw(and)g Fj(f)2976 2272 y Fh(s)3046 2257 y Fw(of)g([Bau90].)0
44327 2365 y Fq(PARU\(161\))54 b(-)d(PARU\(168\))j(:)47 b Fw(\(D=5*1.,3*0.\))
44328 90 b(m)m(ultiplicativ)m(e)45 b(factors)k(that)f(can)h(b)s(e)g(used)h
44329 (to)472 2473 y(mo)s(dify)43 b(the)i(default)f(couplings)f(of)h(the)h(H)
44330 2148 2437 y Fl(0)2232 2473 y Fw(particle)e(in)g Fm(Pythia)p
44331 Fw(.)79 b(Note)45 b(that)f(the)472 2582 y(factors)24
44332 b(en)m(ter)i(quadratically)c(in)h(the)i(partial)c(widths.)41
44333 b(The)25 b(default)f(v)-5 b(alues)24 b(corresp)s(ond)472
44334 2690 y(to)g(the)f(couplings)g(giv)m(en)h(in)e(the)i(minimal)c
44335 (one-Higgs-doublet)h(Standard)j(Mo)s(del.)236 2798 y
44336 Fq(PARU\(161\))54 b(:)47 b Fw(H)920 2762 y Fl(0)992 2798
44337 y Fw(coupling)32 b(to)g(do)m(wn)h(t)m(yp)s(e)h(quarks.)236
44338 2907 y Fq(PARU\(162\))54 b(:)47 b Fw(H)920 2871 y Fl(0)992
44339 2907 y Fw(coupling)32 b(to)g(up)h(t)m(yp)s(e)g(quarks.)236
44340 3015 y Fq(PARU\(163\))54 b(:)47 b Fw(H)920 2979 y Fl(0)992
44341 3015 y Fw(coupling)32 b(to)g(leptons.)236 3123 y Fq(PARU\(164\))54
44342 b(:)47 b Fw(H)920 3087 y Fl(0)992 3123 y Fw(coupling)32
44343 b(to)g(Z)1562 3087 y Fl(0)1601 3123 y Fw(.)236 3232 y
44344 Fq(PARU\(165\))54 b(:)47 b Fw(H)920 3196 y Fl(0)992 3232
44345 y Fw(coupling)32 b(to)g(W)1603 3196 y Fk(\006)1663 3232
44346 y Fw(.)236 3340 y Fq(PARU\(168\))54 b(:)47 b Fw(H)920
44347 3304 y Fl(0)1015 3340 y Fw(coupling)54 b(to)h(H)1643
44348 3304 y Fk(\006)1758 3340 y Fw(in)f Fj(\015)5 b(\015)72
44349 b Fn(!)66 b Fw(H)2312 3304 y Fl(0)2407 3340 y Fw(lo)s(ops,)60
44350 b(in)55 b(MSSM)h(sin\()p Fj(\014)43 b Fn(\000)38 b Fj(\013)q
44351 Fw(\))g(+)709 3448 y(cos\(2)p Fj(\014)6 b Fw(\))17 b(sin)o(\()p
44352 Fj(\014)28 b Fw(+)22 b Fj(\013)q Fw(\))p Fj(=)p Fw(\(2)17
44353 b(cos)1763 3412 y Fl(2)1802 3448 y Fj(\022)1847 3463
44354 y Fh(W)1928 3448 y Fw(\).)0 3557 y Fq(PARU\(171\))54
44355 b(-)d(PARU\(178\))j(:)47 b Fw(\(D=7*1.,0.\))42 b(m)m(ultiplicativ)m(e)
44356 28 b(factors)j(that)g(can)g(b)s(e)h(used)g(to)f(mo)s(d-)472
44357 3665 y(ify)i(the)h(default)f(couplings)g(of)g(the)h(H)1896
44358 3629 y Fk(0)p Fl(0)1988 3665 y Fw(particle)f(in)g Fm(Pythia)p
44359 Fw(.)46 b(Note)34 b(that)f(the)h(factors)472 3774 y(en)m(ter)48
44360 b(quadratically)d(in)h(partial)f(widths.)87 b(The)47
44361 b(default)g(v)-5 b(alues)46 b(for)h Fq(PARU\(171\))53
44362 b(-)472 3882 y(PARU\(175\))33 b Fw(corresp)s(ond)e(to)f(the)g
44363 (couplings)f(giv)m(en)i(to)e(H)2608 3846 y Fl(0)2678
44364 3882 y Fw(in)g(the)i(minimal)26 b(one-Higgs-)472 3990
44365 y(doublet)h(Standard)f(Mo)s(del,)i(and)e(are)h(therefore)g(not)f
44366 (realistic)f(in)h(a)g(t)m(w)m(o-Higgs-doublet)472 4099
44367 y(scenario.)42 b(The)27 b(default)f(v)-5 b(alues)26 b(should)g(b)s(e)h
44368 (c)m(hanged)g(appropriately)e(b)m(y)i(y)m(ou.)42 b(Also)26
44369 b(the)472 4207 y(last)g(t)m(w)m(o)i(default)d(v)-5 b(alues)27
44370 b(should)f(b)s(e)h(c)m(hanged;)j(for)c(these)i(the)f(expressions)h(of)e
44371 (the)h(min-)472 4315 y(imal)37 b(sup)s(ersymmetric)h(Standard)h(Mo)s
44372 (del)g(\(MSSM\))h(are)e(giv)m(en)h(to)g(sho)m(w)h(parameter)472
44373 4424 y(normalization.)236 4532 y Fq(PARU\(171\))54 b(:)47
44374 b Fw(H)920 4496 y Fk(0)p Fl(0)1012 4532 y Fw(coupling)31
44375 b(to)h(do)m(wn)h(t)m(yp)s(e)h(quarks.)236 4640 y Fq(PARU\(172\))54
44376 b(:)47 b Fw(H)920 4604 y Fk(0)p Fl(0)1012 4640 y Fw(coupling)31
44377 b(to)h(up)h(t)m(yp)s(e)g(quarks.)236 4749 y Fq(PARU\(173\))54
44378 b(:)47 b Fw(H)920 4712 y Fk(0)p Fl(0)1012 4749 y Fw(coupling)31
44379 b(to)h(leptons.)236 4857 y Fq(PARU\(174\))54 b(:)47 b
44380 Fw(H)920 4821 y Fk(0)p Fl(0)1012 4857 y Fw(coupling)31
44381 b(to)h(Z)1581 4821 y Fl(0)1620 4857 y Fw(.)236 4965 y
44382 Fq(PARU\(175\))54 b(:)47 b Fw(H)920 4929 y Fk(0)p Fl(0)1012
44383 4965 y Fw(coupling)31 b(to)h Fj(W)1627 4929 y Fk(\006)1686
44384 4965 y Fw(.)236 5074 y Fq(PARU\(176\))54 b(:)47 b Fw(H)920
44385 5037 y Fk(0)p Fl(0)1007 5074 y Fw(coupling)27 b(to)h(H)1581
44386 5037 y Fl(0)1620 5074 y Fw(H)1693 5037 y Fl(0)1733 5074
44387 y Fw(,)h(in)e(MSSM)i(cos)q(\(2)p Fj(\013)q Fw(\))17 b(cos\()p
44388 Fj(\014)h Fw(+)13 b Fj(\013)q Fw(\))g Fn(\000)g Fw(2)k(sin)o(\(2)p
44389 Fj(\013)q Fw(\))g(sin)o(\()p Fj(\014)i Fw(+)709 5182
44390 y Fj(\013)q Fw(\).)236 5290 y Fq(PARU\(177\))54 b(:)47
44391 b Fw(H)920 5254 y Fk(0)p Fl(0)1012 5290 y Fw(coupling)31
44392 b(to)h(A)1594 5254 y Fl(0)1634 5290 y Fw(A)1707 5254
44393 y Fl(0)1746 5290 y Fw(,)h(in)f(MSSM)h(cos)q(\(2)p Fj(\014)6
44394 b Fw(\))17 b(cos)o(\()p Fj(\014)28 b Fw(+)22 b Fj(\013)q
44395 Fw(\).)236 5399 y Fq(PARU\(178\))54 b(:)47 b Fw(H)920
44396 5363 y Fk(0)p Fl(0)1031 5399 y Fw(coupling)k(to)g(H)1652
44397 5363 y Fk(\006)1763 5399 y Fw(in)g Fj(\015)5 b(\015)66
44398 b Fn(!)60 b Fw(H)2302 5363 y Fk(0)p Fl(0)2413 5399 y
44399 Fw(lo)s(ops,)c(in)51 b(MSSM)i(cos\()p Fj(\014)41 b Fn(\000)36
44400 b Fj(\013)q Fw(\))f Fn(\000)709 5507 y Fw(cos\(2)p Fj(\014)6
44401 b Fw(\))17 b(cos\()p Fj(\014)27 b Fw(+)22 b Fj(\013)q
44402 Fw(\))p Fj(=)p Fw(\(2)17 b(cos)1774 5471 y Fl(2)1813
44403 5507 y Fj(\022)1858 5522 y Fh(W)1939 5507 y Fw(\).)0
44404 5615 y Fq(PARU\(181\))54 b(-)d(PARU\(190\))j(:)47 b Fw
44405 (\(D=3*1.,2*0.,2*1.,3*0.\))78 b(m)m(ultiplicativ)m(e)41
44406 b(factors)k(that)f(can)h(b)s(e)1817 5953 y(277)p eop
44407 %%Page: 278 284
44408 278 283 bop 472 -18 a Fw(used)48 b(to)e(mo)s(dify)f(the)i(default)f
44409 (couplings)g(of)g(the)h(A)2531 -55 y Fl(0)2617 -18 y
44410 Fw(particle)e(in)h(PYTHIA.)i(Note)472 90 y(that)37 b(the)g(factors)g
44411 (en)m(ter)h(quadratically)d(in)i(partial)d(widths.)57
44412 b(The)38 b(default)e(v)-5 b(alues)37 b(for)472 198 y
44413 Fq(PARU\(181\))54 b(-)e(PARU\(183\))34 b Fw(corresp)s(ond)e(to)f(the)h
44414 (couplings)f(giv)m(en)g(to)h(H)3234 162 y Fl(0)3305 198
44415 y Fw(in)e(the)i(min-)472 307 y(imal)38 b(one-Higgs-doublet)h(Standard)i
44416 (Mo)s(del,)h(and)e(are)h(therefore)g(not)f(realistic)f(in)h(a)472
44417 415 y(t)m(w)m(o-Higgs-doublet)d(scenario.)61 b(The)39
44418 b(default)e(v)-5 b(alues)38 b(should)g(b)s(e)h(c)m(hanged)g(appropri-)
44419 472 523 y(ately)29 b(b)m(y)h(y)m(ou.)43 b Fq(PARU\(184\))31
44420 b Fw(and)e Fq(PARU\(185\))i Fw(should)e(b)s(e)g(v)-5
44421 b(anishing)28 b(at)g(the)h(tree)h(lev)m(el,)472 632 y(and)37
44422 b(are)f(so)h(set;)i(normalization)33 b(of)j(these)h(couplings)f(agrees)
44423 h(with)f(what)h(is)e(used)j(for)472 740 y(H)c(and)f(H)842
44424 704 y Fk(0)p Fl(0)900 740 y Fw(.)45 b(Also)33 b(the)g(other)h(default)e
44425 (v)-5 b(alues)33 b(should)g(b)s(e)g(c)m(hanged;)i(for)d(these)j(the)e
44426 (ex-)472 848 y(pressions)h(of)f(the)h(Minimal)c(Sup)s(ersymmetric)i
44427 (Standard)i(Mo)s(del)e(\(MSSM\))i(are)f(giv)m(en)472
44428 957 y(to)g(sho)m(w)g(parameter)f(normalization.)236 1065
44429 y Fq(PARU\(181\))54 b(:)47 b Fw(A)920 1029 y Fl(0)992
44430 1065 y Fw(coupling)32 b(to)g(do)m(wn)h(t)m(yp)s(e)h(quarks.)236
44431 1173 y Fq(PARU\(182\))54 b(:)47 b Fw(A)920 1137 y Fl(0)992
44432 1173 y Fw(coupling)32 b(to)g(up)h(t)m(yp)s(e)g(quarks.)236
44433 1282 y Fq(PARU\(183\))54 b(:)47 b Fw(A)920 1245 y Fl(0)992
44434 1282 y Fw(coupling)32 b(to)g(leptons.)236 1390 y Fq(PARU\(184\))54
44435 b(:)47 b Fw(A)920 1354 y Fl(0)992 1390 y Fw(coupling)32
44436 b(to)g(Z)1562 1354 y Fl(0)1601 1390 y Fw(.)236 1498 y
44437 Fq(PARU\(185\))54 b(:)47 b Fw(A)920 1462 y Fl(0)992 1498
44438 y Fw(coupling)32 b(to)g(W)1603 1462 y Fk(\006)1663 1498
44439 y Fw(.)236 1607 y Fq(PARU\(186\))54 b(:)47 b Fw(A)920
44440 1571 y Fl(0)992 1607 y Fw(coupling)32 b(to)g(Z)1562 1571
44441 y Fl(0)1601 1607 y Fw(H)1674 1571 y Fl(0)1746 1607 y
44442 Fw(\(or)g(Z)1963 1571 y Fk(\003)2035 1607 y Fw(to)g(A)2227
44443 1571 y Fl(0)2267 1607 y Fw(H)2340 1571 y Fl(0)2379 1607
44444 y Fw(\),)h(in)e(MSSM)j(cos)q(\()p Fj(\014)27 b Fn(\000)c
44445 Fj(\013)q Fw(\).)236 1715 y Fq(PARU\(187\))54 b(:)47
44446 b Fw(A)920 1679 y Fl(0)992 1715 y Fw(coupling)32 b(to)g(Z)1562
44447 1679 y Fl(0)1601 1715 y Fw(H)1674 1679 y Fk(0)p Fl(0)1765
44448 1715 y Fw(\(or)g(Z)1982 1679 y Fk(\003)2054 1715 y Fw(to)g(A)2246
44449 1679 y Fl(0)2286 1715 y Fw(H)2359 1679 y Fk(0)p Fl(0)2417
44450 1715 y Fw(\),)h(in)f(MSSM)h(sin\()p Fj(\014)28 b Fn(\000)22
44451 b Fj(\013)q Fw(\).)236 1823 y Fq(PARU\(188\))54 b(:)47
44452 b Fw(As)34 b Fq(PARU\(186\))p Fw(,)h(but)d(coupling)g(to)g(Z)2261
44453 1787 y Fk(0)p Fl(0)2351 1823 y Fw(rather)h(than)g(Z)2932
44454 1787 y Fl(0)2971 1823 y Fw(.)236 1932 y Fq(PARU\(189\))54
44455 b(:)47 b Fw(As)34 b Fq(PARU\(187\))p Fw(,)h(but)d(coupling)g(to)g(Z)
44456 2261 1896 y Fk(0)p Fl(0)2351 1932 y Fw(rather)h(than)g(Z)2932
44457 1896 y Fl(0)2971 1932 y Fw(.)236 2040 y Fq(PARU\(190\))54
44458 b(:)47 b Fw(A)920 2004 y Fl(0)992 2040 y Fw(coupling)32
44459 b(to)g(H)1575 2004 y Fk(\006)1667 2040 y Fw(in)f Fj(\015)5
44460 b(\015)33 b Fn(!)27 b Fw(A)2120 2004 y Fl(0)2192 2040
44461 y Fw(lo)s(ops,)32 b(0)g(in)g(MSSM.)0 2148 y Fq(PARU\(191\))54
44462 b(-)d(PARU\(195\))j(:)47 b Fw(\(D=4*0.,1.\))42 b(m)m(ultiplicativ)m(e)
44463 28 b(factors)j(that)g(can)g(b)s(e)h(used)g(to)f(mo)s(d-)472
44464 2257 y(ify)j(the)h(couplings)e(of)h(the)h(H)1571 2221
44465 y Fk(\006)1664 2257 y Fw(particle)e(in)g Fm(Pythia)p
44466 Fw(.)49 b(Curren)m(tly)35 b(only)g Fq(PARU\(195\))i Fw(is)472
44467 2365 y(in)32 b(use.)45 b(See)33 b(ab)s(o)m(v)m(e)h(for)e(related)g
44468 (commen)m(ts.)236 2473 y Fq(PARU\(195\))54 b(:)47 b Fw(H)920
44469 2437 y Fk(\006)1012 2473 y Fw(coupling)31 b(to)i(W)1623
44470 2437 y Fk(\006)1682 2473 y Fw(H)1755 2437 y Fl(0)1827
44471 2473 y Fw(\(or)f(W)2085 2437 y Fk(\003\006)2213 2473
44472 y Fw(to)g(H)2405 2437 y Fk(\006)2464 2473 y Fw(H)2537
44473 2437 y Fl(0)2577 2473 y Fw(\),)g(in)g(MSSM)i(cos\()p
44474 Fj(\014)28 b Fn(\000)23 b Fj(\013)q Fw(\).)0 2747 y Fp(14.6)136
44475 b(F)-11 b(urther)44 b(P)l(arameters)j(and)d(P)l(article)j(Data)0
44476 2920 y Fw(The)29 b(follo)m(wing)24 b(common)j(blo)s(c)m(ks)h(are)f(ma)m
44477 (yb)s(e)h(of)f(a)g(more)g(p)s(eripheral)f(in)m(terest,)k(with)d(the)h
44478 (exception)0 3028 y(of)g(the)i Fq(MDCY)g Fw(arra)m(y)-8
44479 b(,)29 b(whic)m(h)h(allo)m(ws)d(a)i(selectiv)m(e)g(inhibiting)d(of)j
44480 (particle)e(deca)m(ys,)32 b(and)d(masses)g(of)g(not)0
44481 3137 y(y)m(et)34 b(disco)m(v)m(ered)g(particles,)e(suc)m(h)i(as)f
44482 Fq(PMAS\(6,1\))p Fw(,)i(the)e(top)f(quark)h(mass.)p 0
44483 3281 3132 9 v 0 3506 9 225 v 79 3421 a Fq(COMMON/LUDAT2/KCHG\(500,3)q
44484 (\),PM)q(AS\(5)q(00,4)q(\),P)q(ARF\()q(2000)q(\),VC)q(KM\()q(4,4\))p
44485 3123 3506 V 0 3514 3132 9 v 0 3646 a Fo(Purp)s(ose:)48
44486 b Fw(to)35 b(giv)m(e)h(access)h(to)e(a)h(n)m(um)m(b)s(er)g(of)f(\015a)m
44487 (v)m(our)i(treatmen)m(t)e(constan)m(ts)i(or)f(parameters)f(and)472
44488 3754 y(particle/parton)j(data.)62 b(P)m(article)38 b(data)h(is)f
44489 (stored)i(b)m(y)f(compressed)i(co)s(de)e(K)m(C)g(rather)472
44490 3862 y(than)h(b)m(y)g(the)g(full)e(KF)h(co)s(de.)64 b(Y)-8
44491 b(ou)39 b(are)h(reminded)f(that)g(the)h(w)m(a)m(y)g(to)g(kno)m(w)g(the)
44492 g(K)m(C)472 3971 y(v)-5 b(alue)32 b(is)h(to)f(use)h(the)g
44493 Fq(LUCOMP)h Fw(function,)f(i.e.)43 b Fq(KC)51 b(=)h(LUCOMP\(KF\))p
44494 Fw(.)0 4133 y Fq(KCHG\(KC,1\))i(:)47 b Fw(three)34 b(times)d
44495 (particle/parton)g(c)m(harge)i(for)f(compressed)i(co)s(de)f(K)m(C.)0
44496 4242 y Fq(KCHG\(KC,2\))54 b(:)47 b Fw(colour)32 b(information)d(for)k
44497 (compressed)g(co)s(de)g(K)m(C.)236 4350 y Fq(=)52 b(0)f(:)217
44498 b Fw(colour-singlet)30 b(particle.)236 4458 y Fq(=)52
44499 b(1)f(:)217 b Fw(quark)33 b(or)f(an)m(tidiquark.)236
44500 4567 y Fq(=)52 b(-1)g(:)165 b Fw(an)m(tiquark)32 b(or)h(diquark.)236
44501 4675 y Fq(=)52 b(2)f(:)217 b Fw(gluon.)0 4783 y Fq(KCHG\(KC,3\))54
44502 b(:)47 b Fw(particle/an)m(tiparticle)30 b(distinction)g(for)i
44503 (compressed)i(co)s(de)f(K)m(C.)236 4892 y Fq(=)52 b(0)f(:)217
44504 b Fw(the)33 b(particle)e(is)h(its)g(o)m(wn)h(an)m(tiparticle.)236
44505 5000 y Fq(=)52 b(1)f(:)217 b Fw(a)32 b(noniden)m(tical)f(an)m
44506 (tiparticle)g(exists.)0 5163 y Fq(PMAS\(KC,1\))54 b(:)47
44507 b Fw(particle/parton)31 b(mass)i Fj(m)g Fw(\(in)e(GeV\))i(for)f
44508 (compressed)i(co)s(de)f(K)m(C.)0 5271 y Fq(PMAS\(KC,2\))54
44509 b(:)47 b Fw(the)34 b(total)d(width)i(\000)f(\(in)g(GeV\))h(of)g(an)f
44510 (assumed)i(symmetric)e(Breit{Wigner)g(mass)472 5379 y(shap)s(e)i(for)e
44511 (compressed)i(particle)d(co)s(de)i(K)m(C.)0 5488 y Fq(PMAS\(KC,3\))54
44512 b(:)47 b Fw(the)c(maxim)m(um)c(deviation)i(\(in)g(GeV\))g(from)g(the)h
44513 Fq(PMAS\(KC,1\))i Fw(v)-5 b(alue)42 b(at)f(whic)m(h)472
44514 5596 y(the)f(Breit{Wigner)d(shap)s(e)j(ab)s(o)m(v)m(e)g(is)e
44515 (truncated.)63 b(\(Is)40 b(used)g(in)e(particle)g(deca)m(ys,)k(but)1817
44516 5953 y(278)p eop
44517 %%Page: 279 285
44518 279 284 bop 472 -18 a Fw(not)33 b(in)f(the)h Fm(Pythia)f
44519 Fw(resonance)i(treatmen)m(t;)f(cf.)44 b(the)33 b Fq(CKIN)g
44520 Fw(v)-5 b(ariables.\))0 90 y Fq(PMAS\(KC,4\))54 b(:)47
44521 b Fw(the)39 b(a)m(v)m(erage)g(lifetime)c Fj(\034)49 b
44522 Fw(for)38 b(compressed)h(particle)e(co)s(de)h(K)m(C,)h(with)e
44523 Fj(c\034)50 b Fw(in)37 b(mm,)472 198 y(i.e.)43 b Fj(\034)h
44524 Fw(in)32 b(units)h(of)f(ab)s(out)g(3)p Fj(:)p Fw(33)21
44525 b Fn(\002)i Fw(10)1868 162 y Fk(\000)p Fl(12)2030 198
44526 y Fw(s.)0 361 y Fq(PARF\(1\))53 b(-)f(PARF\(60\))h(:)48
44527 b Fw(giv)m(e)24 b(a)g(parametrization)e(of)h(the)i(d)p
44528 2356 282 55 4 v(d)q({u)p 2514 308 V(u{s)p 2655 308 39
44529 4 v(s)g(\015a)m(v)m(our)g(mixing)d(in)i(pro)s(duc-)472
44530 469 y(tion)36 b(of)g(\015a)m(v)m(our-diagonal)e(mesons.)56
44531 b(Num)m(b)s(ers)37 b(are)g(stored)g(in)e(groups)i(of)f(10,)h(for)f(the)
44532 472 577 y(six)i(m)m(ultiplets)e(pseudoscalar,)k(v)m(ector,)h(axial)36
44533 b(v)m(ector)j(\()p Fj(S)k Fw(=)36 b(0\),)j(scalar,)g(axial)d(v)m(ector)
44534 472 686 y(\()p Fj(S)k Fw(=)33 b(1\))j(and)g(tensor,)h(in)e(this)h
44535 (order;)i(see)f(section)f(12.1.2.)53 b(Within)34 b(eac)m(h)j(group,)g
44536 (the)472 805 y(\014rst)30 b(t)m(w)m(o)f(n)m(um)m(b)s(ers)g(determine)f
44537 (the)h(fate)g(of)f(a)g(d)p 2281 726 55 4 v(d)h(\015a)m(v)m(our)h
44538 (state,)g(the)f(second)g(t)m(w)m(o)h(that)472 913 y(of)d(a)g(u)p
44539 708 860 V(u)h(one,)g(the)g(next)g(t)m(w)m(o)g(that)f(of)g(an)g(s)p
44540 2027 860 39 4 v(s)h(one,)h(while)d(the)i(last)e(four)h(are)h(un)m
44541 (used.)43 b(Call)472 1021 y(the)d(n)m(um)m(b)s(ers)f(of)f(a)h(pair)e
44542 Fj(p)1506 1036 y Fl(1)1584 1021 y Fw(and)i Fj(p)1829
44543 1036 y Fl(2)1868 1021 y Fw(.)62 b(Then)40 b(the)f(probabilit)m(y)d(to)j
44544 (pro)s(duce)g(the)g(state)472 1130 y(with)34 b(smallest)e(KF)h(co)s(de)
44545 h(is)f(1)23 b Fn(\000)g Fj(p)1791 1145 y Fl(1)1831 1130
44546 y Fw(,)34 b(the)g(probabilit)m(y)d(for)i(the)i(middle)c(one)j(is)f
44547 Fj(p)3528 1145 y Fl(1)3591 1130 y Fn(\000)23 b Fj(p)3740
44548 1145 y Fl(2)472 1238 y Fw(and)28 b(the)g(probabilit)m(y)d(for)i(the)g
44549 (one)h(with)f(largest)g(co)s(de)g(is)g Fj(p)2681 1253
44550 y Fl(2)2721 1238 y Fw(,)h(i.e.)41 b Fj(p)2991 1253 y
44551 Fl(1)3058 1238 y Fw(is)27 b(the)g(probabilit)m(y)472
44552 1346 y(to)33 b(pro)s(duce)g(either)f(of)g(the)h(t)m(w)m(o)h(`hea)m
44553 (vier')f(ones.)0 1455 y Fq(PARF\(61\))53 b(-)f(PARF\(80\))h(:)48
44554 b Fw(giv)m(e)43 b(\015a)m(v)m(our)g Fo(SU\(6\))g Fw(w)m(eigh)m(ts)h
44555 (for)e(the)h(pro)s(duction)f(of)h(a)f(spin)h(1/2)472
44556 1563 y(or)38 b(spin)g(3/2)f(bary)m(on)h(from)f(a)g(giv)m(en)h
44557 (diquark{quark)h(com)m(bination.)57 b(Should)38 b(not)f(b)s(e)472
44558 1671 y(c)m(hanged.)0 1780 y Fq(PARF\(101\))54 b(-)d(PARF\(108\))j(:)47
44559 b Fw(\014rst)30 b(\014v)m(e)g(con)m(tain)f(d,)h(u,)f(s,)i(c)e(and)g(b)g
44560 (constituen)m(t)h(masses,)g(as)g(to)e(b)s(e)472 1888
44561 y(used)35 b(in)e(mass)h(form)m(ulae,)e(and)i(should)f(not)h(b)s(e)f(c)m
44562 (hanged.)48 b(F)-8 b(or)33 b(t,)h(l)e(and)i(h)g(masses)g(the)472
44563 1997 y(curren)m(t)g(v)-5 b(alues)33 b(stored)g(in)f Fq(PMAS\(6,1\))53
44564 b(-)f(PMAS\(8,1\))35 b Fw(are)d(copied)h(in.)0 2105 y
44565 Fq(PARF\(111\),)54 b(PARF\(112\))g(:)47 b Fw(\(D=0.0,)40
44566 b(0.11)e(GeV\))h(constan)m(t)g(terms)g(in)f(the)i(mass)f(form)m(ulae)e
44567 (for)472 2213 y(hea)m(vy)c(mesons)e(and)g(bary)m(ons,)h(resp)s(ectiv)m
44568 (ely)g(\(with)f(diquark)g(getting)e(2/3)i(of)f(bary)m(on\).)0
44569 2322 y Fq(PARF\(113\),)54 b(PARF\(114\))g(:)47 b Fw(\(D=0.16,0.048)h
44570 (GeV\))h(factors)g(whic)m(h,)55 b(together)49 b(with)h(Clebsc)m(h-)472
44571 2430 y(Gordan)24 b(co)s(e\016cien)m(ts)h(and)f(quark)g(constituen)m(t)h
44572 (masses,)h(determine)e(the)g(mass)g(splitting)472 2538
44573 y(due)32 b(to)f(spin-spin)f(in)m(teractions)h(for)g(hea)m(vy)h(mesons)g
44574 (and)f(bary)m(ons,)i(resp)s(ectiv)m(ely)-8 b(.)44 b(The)472
44575 2647 y(latter)32 b(factor)g(is)g(also)g(used)i(for)e(the)h(splitting)d
44576 (b)s(et)m(w)m(een)35 b(spin)d(0)g(and)h(spin)g(1)f(diquarks.)0
44577 2755 y Fq(PARF\(115\))54 b(-)d(PARF\(118\))j(:)47 b Fw(\(D=0.50,)30
44578 b(0.45,)g(0.55,)g(0.60)g(GeV\),)g(constan)m(t)h(mass)f(terms,)h(added)
44579 472 2863 y(to)24 b(the)h(constituen)m(t)f(masses,)j(to)d(get)g(the)g
44580 (mass)g(of)g(hea)m(vy)i(mesons)e(with)g(orbital)e(angular)472
44581 2972 y(momen)m(tum)30 b Fj(L)e Fw(=)f(1.)43 b(The)32
44582 b(four)e(n)m(um)m(b)s(ers)i(are)e(for)h(pseudo)m(v)m(ector)i(mesons)e
44583 (with)g(quark)472 3080 y(spin)46 b(0,)j(and)d(for)f(scalar,)k(pseudo)m
44584 (v)m(ector)f(and)e(tensor)h(mesons)f(with)f(quark)i(spin)f(1,)472
44585 3188 y(resp)s(ectiv)m(ely)-8 b(.)0 3297 y Fq(PARF\(121\),)54
44586 b(PARF\(122\))g(:)47 b Fw(\(D=0.1,)c(0.2)f(GeV\))f(constan)m(t)i
44587 (terms,)h(whic)m(h)e(are)g(subtracted)h(for)472 3405
44588 y(quark)31 b(and)g(diquark)f(masses,)h(resp)s(ectiv)m(ely)-8
44589 b(,)32 b(in)d(de\014ning)h(the)h(allo)m(w)m(ed)e(phase)i(space)g(in)472
44590 3513 y(particle)h(deca)m(ys)i(in)m(to)e(partons.)0 3622
44591 y Fq(PARF\(201\))54 b(-)d(PARF\(1960\))j(:)48 b Fw(\(D=1760*0\))29
44592 b(relativ)m(e)j(probabilities)d(for)i(\015a)m(v)m(our)i(pro)s(duction)e
44593 (in)472 3730 y(the)i Fq(MSTJ\(15\)=1)j Fw(option;)31
44594 b(to)h(b)s(e)h(de\014ned)h(b)m(y)g(y)m(ou)f(b)s(efore)g(an)m(y)h
44595 Fm(Jetset)e Fw(calls.)472 3838 y(The)i(index)f(in)f Fq(PARF)h
44596 Fw(is)f(of)g(the)h(compressed)h(form)472 3947 y(120)22
44597 b(+)g(80)p Fn(\002)p Fw(KT)-8 b(AB1+25)p Fn(\002)p Fw(KT)g(ABS+KT)g
44598 (AB3.)472 4055 y(Here)27 b(KT)-8 b(AB1)26 b(is)f(the)h(old)f(\015a)m(v)
44599 m(our,)j(\014xed)f(b)m(y)g(preceding)f(fragmen)m(tation)e(history)-8
44600 b(,)27 b(while)472 4163 y(KT)-8 b(AB3)42 b(is)e(the)i(new)g(\015a)m(v)m
44601 (our,)i(to)d(b)s(e)g(selected)h(according)f(to)g(the)g(relev)-5
44602 b(an)m(t)41 b(relativ)m(e)472 4272 y(probabilities)25
44603 b(\(except)k(for)e(the)h(v)m(ery)h(last)e(particle,)g(pro)s(duced)i
44604 (when)f(joining)e(t)m(w)m(o)i(jets,)472 4380 y(where)41
44605 b(b)s(oth)e(KT)-8 b(AB1)40 b(and)g(KT)-8 b(AB3)39 b(are)h(kno)m(wn\).)
44606 65 b(Only)40 b(the)g(most)e(frequen)m(tly)j(ap-)472 4488
44607 y(p)s(earing)j(quarks/diquarks)j(are)d(de\014ned,)50
44608 b(according)44 b(to)g(the)h(co)s(de)g(1)k(=)f(d,)g(2)g(=)g(u,)472
44609 4597 y(3)36 b(=)f(s,)k(4)c(=)h(c,)j(5)c(=)g(b,)k(6)c(=)h(t,)i(7)d(=)h
44610 (dd)1995 4612 y Fl(1)2035 4597 y Fw(,)i(8)d(=)h(ud)2404
44611 4612 y Fl(0)2444 4597 y Fw(,)i(9)d(=)h(ud)2813 4612 y
44612 Fl(1)2853 4597 y Fw(,)i(10)d(=)h(uu)3271 4612 y Fl(1)3310
44613 4597 y Fw(,)j(11)c(=)g(sd)3712 4612 y Fl(0)3752 4597
44614 y Fw(,)472 4705 y(12)28 b(=)f(sd)793 4720 y Fl(1)833
44615 4705 y Fw(,)i(13)e(=)h(su)1210 4720 y Fl(0)1250 4705
44616 y Fw(,)g(14)g(=)f(su)1626 4720 y Fl(1)1666 4705 y Fw(,)i(15)e(=)h(ss)
44617 2027 4720 y Fl(1)2067 4705 y Fw(,)h(16)e(=)g(cd)2448
44618 4720 y Fl(0)2488 4705 y Fw(,)i(17)e(=)h(cd)2870 4720
44619 y Fl(1)2910 4705 y Fw(,)g(18)g(=)f(cu)3291 4720 y Fl(0)3331
44620 4705 y Fw(,)i(19)e(=)g(cu)3712 4720 y Fl(1)3752 4705
44621 y Fw(,)472 4813 y(20)44 b(=)f(cs)814 4828 y Fl(0)854
44622 4813 y Fw(,)h(21)g(=)f(cs)1267 4828 y Fl(1)1307 4813
44623 y Fw(,)h(22)g(=)f(cc)1725 4828 y Fl(1)1765 4813 y Fw(.)72
44624 b(These)43 b(are)f(th)m(us)h(the)f(only)g(p)s(ossibilities)d(for)i(the)
44625 472 4922 y(new)35 b(\015a)m(v)m(our)g(to)f(b)s(e)g(pro)s(duced;)i(for)d
44626 (an)h(o)s(ccasional)f(old)g(\015a)m(v)m(our)i(not)e(on)h(this)g(list,)f
44627 (the)472 5030 y(ordinary)f(relativ)m(e)g(\015a)m(v)m(our)i(pro)s
44628 (duction)e(probabilities)d(will)i(b)s(e)h(used.)472 5138
44629 y(Giv)m(en)37 b(the)h(initial)33 b(and)38 b(\014nal)e(\015a)m(v)m(our,)
44630 j(the)f(in)m(termediate)e(hadron)h(that)g(is)g(pro)s(duced)472
44631 5247 y(is)g(almost)e(\014xed.)58 b(\(Initial)34 b(and)j(\014nal)f
44632 (diquark)h(here)h(corresp)s(onds)g(to)e(`p)s(op)s(corn')h(pro-)472
44633 5355 y(duction)k(of)f(mesons)h(in)m(termediate)f(b)s(et)m(w)m(een)j(a)d
44634 (bary)m(on)h(and)g(an)g(an)m(tibary)m(on\).)68 b(The)472
44635 5463 y(additional)30 b(index)j(KT)-8 b(ABS)33 b(giv)m(es)g(the)g(spin)f
44636 (t)m(yp)s(e)i(of)e(this)g(hadron,)h(with)472 5572 y(0)g(=)f
44637 (pseudoscalar)h(meson)g(or)f(\003-lik)m(e)f(spin)i(1/2)e(bary)m(on,)
44638 1817 5953 y(279)p eop
44639 %%Page: 280 286
44640 280 285 bop 472 -18 a Fw(1)33 b(=)f(v)m(ector)i(meson)e(or)h(\006-lik)m
44641 (e)e(spin)i(1/2)f(bary)m(on,)472 90 y(2)h(=)f(tensor)h(meson)g(or)f
44642 (spin)h(3/2)e(bary)m(on.)472 198 y(\(Some)39 b(meson)g(m)m(ultiplets,)g
44643 (not)g(frequen)m(tly)h(pro)s(duced,)i(are)d(not)g(accessible)h(b)m(y)g
44644 (this)472 307 y(parametrization.\))472 415 y(Note)45
44645 b(that)f(some)g(com)m(binations)f(of)h(KT)-8 b(AB1,)47
44646 b(KT)-8 b(AB3)44 b(and)h(KT)-8 b(ABS)45 b(do)f(not)g(cor-)472
44647 523 y(resp)s(ond)52 b(to)f(a)g(ph)m(ysical)g(particle)e(\(a)i(\003-lik)
44648 m(e)e(bary)m(on)j(m)m(ust)f(con)m(tain)g(three)h(di\013er-)472
44649 632 y(en)m(t)g(quark)g(\015a)m(v)m(ours,)57 b(a)51 b(\006-lik)m(e)f
44650 (one)h(at)g(least)g(t)m(w)m(o\),)56 b(and)51 b(that)g(y)m(ou)h(m)m(ust)
44651 f(see)h(to)472 740 y(it)44 b(that)h(the)g(corresp)s(onding)i
44652 Fq(PARF)e Fw(en)m(tries)h(are)f(v)-5 b(anishing.)79 b(One)46
44653 b(additional)c(com-)472 848 y(plication)j(exist)i(when)h(KT)-8
44654 b(AB3)47 b(and)g(KT)-8 b(AB1)47 b(denote)h(the)g(same)e(\015a)m(v)m
44655 (our)i(con)m(ten)m(t)472 957 y(\(normally)54 b(KT)-8
44656 b(AB3=KT)g(AB1,)62 b(but)56 b(for)g(diquarks)h(the)f(spin)g(freedom)g
44657 (ma)m(y)g(giv)m(e)472 1065 y(KT)-8 b(AB3=KT)g(AB1)p Fn(\006)p
44658 Fw(1\):)65 b(then)44 b(a)f(\015a)m(v)m(our)h(neutral)e(meson)h(is)g(to)
44659 f(b)s(e)i(pro)s(duced,)i(and)472 1184 y(here)d(d)p 747
44660 1105 55 4 v(d)q(,)h(u)p 927 1131 V(u)f(and)f(s)p 1261
44661 1131 39 4 v(s)h(states)g(mix)e(\(hea)m(vier)h(\015a)m(v)m(our)h(states)
44662 g(do)f(not,)j(and)d(these)h(are)472 1292 y(therefore)d(no)g(problem\).)
44663 62 b(F)-8 b(or)39 b(these)i(cases)f(the)g(ordinary)f(KT)-8
44664 b(AB3)39 b(v)-5 b(alue)39 b(giv)m(es)h(the)472 1401 y(total)35
44665 b(probabilit)m(y)g(to)h(pro)s(duce)i(either)e(of)g(the)h(mesons)g(p)s
44666 (ossible,)g(while)f(KT)-8 b(AB3=23)472 1509 y(giv)m(es)35
44667 b(the)f(relativ)m(e)f(probabilit)m(y)f(to)h(pro)s(duce)i(the)f(ligh)m
44668 (test)f(meson)h(state)g(\()p Fj(\031)3375 1473 y Fl(0)3414
44669 1509 y Fw(,)g Fj(\032)3525 1473 y Fl(0)3565 1509 y Fw(,)g(a)3675
44670 1473 y Fl(0)3675 1534 y(2)3714 1509 y Fw(\),)472 1617
44671 y(KT)-8 b(AB3=24)25 b(relativ)m(e)g(probabilit)m(y)e(for)i(the)h
44672 (middle)d(meson)i(\()p Fj(\021)t Fw(,)i Fj(!)t Fw(,)f(f)3036
44673 1581 y Fl(0)3029 1642 y(2)3075 1617 y Fw(\),)h(and)e(KT)-8
44674 b(AB3)26 b(=)472 1726 y(25)32 b(relativ)m(e)f(probabilit)m(y)f(for)h
44675 (the)h(hea)m(viest)h(one)f(\()p Fj(\021)2403 1690 y Fk(0)2426
44676 1726 y Fw(,)g Fj(\036)p Fw(,)g Fj(f)2661 1690 y Fk(0)p
44677 Fl(0)2650 1750 y(2)2719 1726 y Fw(\).)43 b(Note)32 b(that,)g(for)f
44678 (simplic-)472 1834 y(it)m(y)-8 b(,)32 b(these)h(relativ)m(e)e
44679 (probabilities)e(are)i(assumed)i(the)f(same)g(whether)h(initial)27
44680 b(and)32 b(\014nal)472 1942 y(diquark)g(ha)m(v)m(e)h(the)f(same)f(spin)
44681 g(or)g(not;)h(the)g(total)e(probabilit)m(y)f(ma)m(y)i(w)m(ell)g(b)s(e)h
44682 (assumed)472 2051 y(di\013eren)m(t,)h(ho)m(w)m(ev)m(er.)472
44683 2159 y(As)38 b(a)f(general)f(commen)m(t,)i(the)f(sum)g(of)43
44684 b Fq(PARF)38 b Fw(v)-5 b(alues)37 b(for)g(a)f(giv)m(en)i(KT)-8
44685 b(AB1)37 b(need)h(not)472 2267 y(b)s(e)f(normalized)e(to)h(unit)m(y)-8
44686 b(,)37 b(but)g(rather)g(the)g(program)e(will)f(\014nd)j(the)g(sum)f(of)
44687 h(relev)-5 b(an)m(t)472 2376 y(w)m(eigh)m(ts)30 b(and)e(normalize)e(to)
44688 j(that.)41 b(The)30 b(same)e(go)s(es)h(for)e(the)i(KT)-8
44689 b(AB3=23{25)28 b(w)m(eigh)m(ts.)472 2484 y(This)40 b(mak)m(es)h(it)e
44690 (straigh)m(tforw)m(ard)g(to)g(use)i(one)f(common)f(setup)i(of)46
44691 b Fq(PARF)41 b Fw(v)-5 b(alues)39 b(and)472 2592 y(still)31
44692 b(switc)m(h)i(b)s(et)m(w)m(een)i(di\013eren)m(t)d Fq(MSTJ\(12\))j
44693 Fw(bary)m(on)e(pro)s(duction)f(mo)s(des.)0 2755 y Fq(VCKM\(I,J\))54
44694 b(:)47 b Fw(squared)36 b(matrix)d(elemen)m(ts)h(of)g(the)h(Cabibb)s
44695 (o-Koba)m(y)m(ashi-Mask)-5 b(a)m(w)m(a)34 b(\015a)m(v)m(our)h(mix-)472
44696 2863 y(ing)d(matrix.)236 2972 y Fq(I)52 b(:)319 b Fw(up)33
44697 b(t)m(yp)s(e)g(generation)f(index,)h(i.e.)43 b(1)27 b(=)h(u,)33
44698 b(2)27 b(=)h(c,)33 b(3)27 b(=)h(t)k(and)h(4)27 b(=)h(h.)236
44699 3080 y Fq(J)52 b(:)319 b Fw(do)m(wn)33 b(t)m(yp)s(e)h(generation)d
44700 (index,)i(i.e.)43 b(1)28 b(=)f(d,)33 b(2)28 b(=)f(s,)33
44701 b(3)28 b(=)f(b)33 b(and)g(4)27 b(=)h(l.)p 0 3224 3337
44702 9 v 0 3449 9 225 v 79 3364 a Fq(COMMON/LUDAT3/MDCY\(500,3)q(\),MD)q
44703 (ME\(2)q(000,)q(2\),)q(BRAT)q(\(200)q(0\),K)q(FDP)q(\(200)q(0,5\))p
44704 3329 3449 V 0 3457 3337 9 v 0 3589 a Fo(Purp)s(ose:)48
44705 b Fw(to)k(giv)m(e)g(access)i(to)e(particle)f(deca)m(y)i(data)f(and)g
44706 (parameters.)103 b(In)53 b(particular,)i(the)472 3697
44707 y Fq(MDCY\(KC,1\))44 b Fw(v)-5 b(ariables)41 b(ma)m(y)g(b)s(e)g(used)i
44708 (to)e(switc)m(h)h(on)g(or)f(o\013)g(the)g(deca)m(y)i(of)e(a)g(giv)m(en)
44709 472 3806 y(particle)36 b(sp)s(ecies,)k(and)e(the)f Fq(MDME\(IDC,1\))j
44710 Fw(ones)f(to)e(switc)m(h)h(on)f(or)g(o\013)g(an)g(individual)472
44711 3914 y(deca)m(y)f(c)m(hannel)g(of)e(a)g(particle.)49
44712 b(F)-8 b(or)33 b(quarks,)k(leptons)e(and)f(gauge)h(b)s(osons,)h(a)e(n)m
44713 (um)m(b)s(er)472 4022 y(of)28 b(deca)m(y)i(c)m(hannels)f(are)f
44714 (included)g(that)g(are)g(not)h(allo)m(w)m(ed)e(for)h(on-mass-shell)e
44715 (particles,)472 4131 y(see)35 b Fq(MDME\(IDC,2\)=102)p
44716 Fw(.)49 b(These)35 b(c)m(hannels)f(are)f(not)g(curren)m(tly)h(used)g
44717 (in)f Fm(Jetset)p Fw(,)f(but)472 4239 y(instead)42 b(\014nd)g
44718 (applications)e(in)h Fm(Pythia)p Fw(.)70 b(P)m(article)41
44719 b(data)g(is)g(stored)i(b)m(y)f(compressed)472 4347 y(co)s(de)35
44720 b(K)m(C)f(rather)g(than)g(b)m(y)h(the)f(full)e(KF)h(co)s(de.)48
44721 b(Y)-8 b(ou)34 b(are)f(reminded)h(that)f(the)i(w)m(a)m(y)g(to)472
44722 4456 y(kno)m(w)f(the)f(K)m(C)g(v)-5 b(alue)32 b(is)g(to)h(use)g(the)g
44723 Fq(LUCOMP)h Fw(function,)e(i.e.)43 b Fq(KC)52 b(=)g(LUCOMP\(KF\))p
44724 Fw(.)0 4618 y Fq(MDCY\(KC,1\))i(:)47 b Fw(switc)m(h)27
44725 b(to)f(tell)f(whether)i(a)f(particle)f(with)h(compressed)i(co)s(de)e(K)
44726 m(C)h(ma)m(y)f(b)s(e)g(allo)m(w)m(ed)472 4727 y(to)33
44727 b(deca)m(y)h(or)e(not.)236 4835 y Fq(=)52 b(0)f(:)217
44728 b Fw(the)33 b(particle)e(is)h(not)g(allo)m(w)m(ed)g(to)h(deca)m(y)-8
44729 b(.)236 4943 y Fq(=)52 b(1)f(:)217 b Fw(the)29 b(particle)g(is)f(allo)m
44730 (w)m(ed)h(to)g(deca)m(y)i(\(if)d(deca)m(y)j(information)26
44731 b(is)j(de\014ned)i(b)s(elo)m(w)e(for)709 5052 y(the)k(particle\).)0
44732 5160 y Fq(MDCY\(KC,2\))54 b(:)47 b Fw(giv)m(es)32 b(the)f(en)m(try)h(p)
44733 s(oin)m(t)e(in)m(to)g(the)h(deca)m(y)h(c)m(hannel)f(table)f(for)h
44734 (compressed)h(particle)472 5268 y(co)s(de)h(K)m(C.)h(Is)f(0)f(if)f(no)i
44735 (deca)m(y)h(c)m(hannels)f(ha)m(v)m(e)h(b)s(een)g(de\014ned.)0
44736 5377 y Fq(MDCY\(KC,3\))54 b(:)47 b Fw(giv)m(es)36 b(the)g(total)d(n)m
44737 (um)m(b)s(er)j(of)e(deca)m(y)j(c)m(hannels)f(de\014ned)h(for)d
44738 (compressed)j(particle)472 5485 y(co)s(de)g(K)m(C,)f(indep)s(enden)m
44739 (tly)h(of)e(whether)i(they)g(ha)m(v)m(e)g(b)s(een)f(assigned)g(a)g
44740 (non-v)-5 b(anishing)472 5593 y(branc)m(hing)55 b(ratio)e(or)h(not.)108
44741 b(Th)m(us)56 b(the)f(deca)m(y)h(c)m(hannels)f(are)g(found)f(in)g(p)s
44742 (ositions)1817 5953 y(280)p eop
44743 %%Page: 281 287
44744 281 286 bop 472 -18 a Fq(MDCY\(KC,2\))36 b Fw(to)c Fq
44745 (MDCY\(KC,2\)+MDCY\(KC,3\)-1)p Fw(.)0 144 y Fq(MDME\(IDC,1\))54
44746 b(:)48 b Fw(on/o\013)38 b(switc)m(h)i(for)e(individual)e(deca)m(y)k(c)m
44747 (hannel)g(IDC.)f(In)g(addition,)g(a)f(c)m(hannel)472
44748 252 y(ma)m(y)45 b(b)s(e)f(left)g(selectiv)m(ely)h(op)s(en;)50
44749 b(this)45 b(has)f(some)h(sp)s(ecial)e(applications)g(in)g
44750 Fm(Pythia)472 361 y Fw(whic)m(h)36 b(are)e(not)h(curren)m(tly)h(used)f
44751 (in)f Fm(Jetset)p Fw(.)49 b(E\013ectiv)m(e)36 b(branc)m(hing)f(ratios)f
44752 (are)g(auto-)472 469 y(matically)42 b(recalculated)i(for)h(the)g(deca)m
44753 (y)h(c)m(hannels)g(left)e(op)s(en.)80 b(Also)44 b(pro)s(cess)j(cross)
44754 472 577 y(sections)55 b(are)e(a\013ected;)65 b(see)55
44755 b(section)f(7.6.2.)106 b(If)53 b(a)h(particle)e(is)h(allo)m(w)m(ed)g
44756 (to)g(deca)m(y)472 686 y(b)m(y)c(the)g Fq(MDCY\(KC,1\))h
44757 Fw(v)-5 b(alue,)51 b(at)d(least)f(one)h(c)m(hannel)h(m)m(ust)f(b)s(e)g
44758 (left)f(op)s(en)h(b)m(y)h(y)m(ou.)472 794 y(A)d(list)f(of)h(deca)m(y)h
44759 (c)m(hannels)g(with)e(curren)m(t)j(IDC)e(n)m(um)m(b)s(ers)g(ma)m(y)g(b)
44760 s(e)g(obtained)g(with)472 902 y Fq(LULIST\(12\))p Fw(.)236
44761 1011 y Fq(=)52 b(-1)g(:)165 b Fw(this)35 b(is)f(a)h(non-Standard)h(Mo)s
44762 (del)e(deca)m(y)j(mo)s(de,)e(whic)m(h)h(b)m(y)g(default)f(is)g(assumed)
44763 709 1119 y(not)40 b(to)h(exist.)68 b(Normally)-8 b(,)41
44764 b(this)f(option)g(is)g(used)i(for)e(deca)m(ys)j(in)m(v)m(olving)d
44765 (fourth)709 1227 y(generation)32 b(or)g(H)1378 1191 y
44766 Fk(\006)1469 1227 y Fw(particles.)236 1336 y Fq(=)52
44767 b(0)f(:)217 b Fw(c)m(hannel)33 b(is)f(switc)m(hed)i(o\013.)236
44768 1444 y Fq(=)52 b(1)f(:)217 b Fw(c)m(hannel)33 b(is)f(switc)m(hed)i(on.)
44769 236 1552 y Fq(=)52 b(2)f(:)217 b Fw(c)m(hannel)31 b(is)f(switc)m(hed)i
44770 (on)f(for)f(a)h(particle)f(but)h(o\013)f(for)g(an)h(an)m(tiparticle.)41
44771 b(It)31 b(is)f(also)709 1661 y(on)i(for)g(a)g(particle)g(its)g(o)m(wn)h
44772 (an)m(tiparticle,)e(i.e.)43 b(here)33 b(it)f(means)g(the)h(same)g(as)f
44773 Fq(=1)p Fw(.)236 1769 y Fq(=)52 b(3)f(:)217 b Fw(c)m(hannel)35
44774 b(is)f(switc)m(hed)i(on)f(for)f(an)g(an)m(tiparticle)f(but)i(o\013)g
44775 (for)f(a)g(particle.)49 b(It)35 b(is)f(o\013)709 1878
44776 y(for)e(a)g(particle)f(its)h(o)m(wn)i(an)m(tiparticle.)236
44777 1986 y Fq(=)52 b(4)f(:)217 b Fw(in)40 b(the)h(pro)s(duction)f(of)h(a)f
44778 (pair)g(of)h(equal)f(or)h(c)m(harge)g(conjugate)g(resonances)i(in)709
44779 2094 y Fm(Pythia)p Fw(,)e(sa)m(y)g(H)1372 2058 y Fl(0)1451
44780 2094 y Fn(!)f Fw(W)1692 2058 y Fl(+)1751 2094 y Fw(W)1852
44781 2058 y Fk(\000)1912 2094 y Fw(,)h(either)f(one)g(of)f(the)h(resonances)
44782 i(is)d(allo)m(w)m(ed)g(to)709 2203 y(deca)m(y)48 b(according)e(to)h
44783 (this)g(group)g(of)f(c)m(hannels,)52 b(but)47 b(not)g(b)s(oth.)86
44784 b(If)47 b(the)h(t)m(w)m(o)709 2311 y(particles)27 b(of)g(the)i(pair)e
44785 (are)h(di\013eren)m(t,)h(the)f(c)m(hannel)h(is)e(on.)42
44786 b(Within)27 b Fm(Jetset)p Fw(,)h(this)709 2419 y(option)j(only)h(means)
44787 h(that)f(the)h(c)m(hannel)g(is)f(switc)m(hed)i(o\013.)236
44788 2528 y Fq(=)52 b(5)f(:)217 b Fw(as)29 b Fq(=4)p Fw(,)h(but)f(an)g
44789 (indep)s(enden)m(t)h(group)f(of)g(c)m(hannels,)h(suc)m(h)h(that)d(in)h
44790 (a)f(pair)g(of)h(equal)709 2636 y(or)46 b(c)m(harge)h(conjugate)f
44791 (resonances)i(the)f(deca)m(y)h(of)d(either)i(resonance)g(ma)m(y)f(b)s
44792 (e)709 2744 y(sp)s(eci\014ed)31 b(indep)s(enden)m(tly)-8
44793 b(.)44 b(If)31 b(the)g(t)m(w)m(o)h(particles)e(in)g(the)i(pair)e(are)g
44794 (di\013eren)m(t,)i(the)709 2853 y(c)m(hannel)h(is)g(o\013.)45
44795 b(Within)32 b Fm(Jetset)p Fw(,)h(this)g(option)f(only)h(means)g(that)g
44796 (the)h(c)m(hannel)709 2961 y(is)e(switc)m(hed)i(o\013.)236
44797 3069 y Fo(W)-9 b(arning:)47 b Fw(the)31 b(t)m(w)m(o)h(v)-5
44798 b(alues)30 b(-1)g(and)h(0)g(ma)m(y)f(lo)s(ok)g(similar,)e(but)j(in)f
44799 (fact)h(are)f(quite)h(di\013eren)m(t.)709 3178 y(In)g(neither)g(case)h
44800 (the)g(c)m(hannel)f(so)g(set)h(is)f(generated,)h(but)f(in)g(the)g
44801 (latter)f(case)i(the)709 3286 y(c)m(hannel)23 b(still)d(con)m(tributes)
44802 k(to)e(the)h(total)f(width)g(of)g(a)h(resonance,)j(and)d(th)m(us)h
44803 (a\013ects)709 3394 y(b)s(oth)29 b(sim)m(ulated)g(line)f(shap)s(e)i
44804 (and)g(the)g(generated)h(cross)g(section)e(when)i Fm(Pythia)709
44805 3503 y Fw(is)g(run.)43 b(The)33 b(v)-5 b(alue)31 b(0)g(is)g
44806 (appropriate)g(to)g(a)g(c)m(hannel)h(w)m(e)h(assume)f(exists,)g(ev)m
44807 (en)i(if)709 3611 y(w)m(e)i(are)f(not)g(curren)m(tly)h(sim)m(ulating)c
44808 (it,)j(while)f(-1)g(should)h(b)s(e)h(used)g(for)f(c)m(hannels)709
44809 3719 y(w)m(e)d(b)s(eliev)m(e)f(do)g(not)g(exist.)43 b(In)31
44810 b(particular,)f(y)m(ou)i(are)f(w)m(arned)h(un)m(wittingly)e(to)h(set)
44811 709 3828 y(fourth)i(generation)g(c)m(hannels)i(0)e(\(rather)h(than)g
44812 (-1\),)f(since)h(b)m(y)h(no)m(w)f(the)g(supp)s(ort)709
44813 3936 y(for)e(a)g(fourth)g(generation)g(is)g(small.)236
44814 4044 y Fo(Remark:)54 b Fw(all)24 b(the)j(options)e(ab)s(o)m(v)m(e)j(ma)
44815 m(y)e(b)s(e)g(freely)h(mixed.)41 b(The)27 b(di\013erence,)h(for)e
44816 (those)h(cases)709 4153 y(where)39 b(b)s(oth)e(mak)m(e)h(sense,)j(b)s
44817 (et)m(w)m(een)f(using)d(v)-5 b(alues)38 b(2)f(and)h(3)g(and)f(using)h
44818 (4)f(and)709 4261 y(5)k(is)h(that)g(the)g(latter)f(automatically)e
44819 (include)i(c)m(harge)i(conjugate)f(states,)j(e.g.)709
44820 4369 y(H)782 4333 y Fl(0)849 4369 y Fn(!)27 b Fw(W)1077
44821 4333 y Fl(+)1137 4369 y Fw(W)1238 4333 y Fk(\000)1325
44822 4369 y Fn(!)g Fw(e)1495 4333 y Fl(+)1555 4369 y Fj(\027)1603
44823 4384 y Fh(e)1640 4369 y Fw(d)p 1694 4317 55 4 v(u)j(or)p
44824 1895 4290 V 30 w(d)q(ue)2047 4333 y Fk(\000)p 2106 4317
44825 V 2106 4369 a Fj(\027)2161 4384 y Fh(e)2198 4369 y Fw(,)g(but)h(the)f
44826 (former)g(only)f(one)i(of)f(them.)42 b(In)709 4478 y(calculations)27
44827 b(of)i(the)g(join)m(t)g(branc)m(hing)g(ratio,)f(this)h(mak)m(es)h(a)f
44828 (factor)g(2)g(di\013erence.)236 4586 y Fo(Example:)47
44829 b Fw(to)30 b(illustrate)f(the)j(ab)s(o)m(v)m(e)f(options,)g(consider)h
44830 (the)f(case)h(of)e(a)h(W)3117 4550 y Fl(+)3177 4586 y
44831 Fw(W)3278 4550 y Fk(\000)3368 4586 y Fw(pair.)42 b(One)709
44832 4694 y(migh)m(t)31 b(then)i(set)g(the)g(follo)m(wing)d(com)m(bination)h
44833 (of)h(switc)m(hes)i(for)e(the)h(W)q(:)1817 5953 y(281)p
44834 eop
44835 %%Page: 282 288
44836 282 287 bop 758 -30 a Fw(c)m(hannel)101 b(v)-5 b(alue)99
44837 b(commen)m(t)866 90 y(u)p 920 11 55 4 v(d)292 b(1)185
44838 b(allo)m(w)m(ed)32 b(for)g(W)2097 54 y Fl(+)2189 90 y
44839 Fw(and)g(W)2479 54 y Fk(\000)2571 90 y Fw(in)g(an)m(y)i(com)m
44840 (bination,)873 211 y(u)p 927 158 39 4 v(s)301 b(0)185
44841 b(nev)m(er)34 b(pro)s(duced)f(but)g(con)m(tributes)g(to)g(W)h(width,)
44842 871 331 y(c)p 914 252 55 4 v(d)298 b(2)185 b(allo)m(w)m(ed)32
44843 b(for)g(W)2097 295 y Fl(+)2189 331 y Fw(only)-8 b(,)879
44844 451 y(c)p 922 398 39 4 v(s)306 b(3)185 b(allo)m(w)m(ed)32
44845 b(for)g(W)2097 415 y Fk(\000)2189 451 y Fw(only)-8 b(,)32
44846 b(i.e.)43 b(prop)s(erly)32 b(W)3081 415 y Fk(\000)3168
44847 451 y Fn(!)p 3296 398 44 4 v 28 w Fw(cs,)874 572 y(t)p
44848 912 493 55 4 v(b)300 b(0)185 b(nev)m(er)34 b(pro)s(duced)f(but)g(con)m
44849 (tributes)g(to)g(W)h(width)1500 692 y(if)d(the)i(c)m(hannel)g(is)f
44850 (kinematically)e(allo)m(w)m(ed,)827 812 y Fj(\027)875
44851 827 y Fl(e)910 812 y Fw(e)953 776 y Fl(+)1266 812 y Fw(4)185
44852 b(allo)m(w)m(ed)32 b(for)g(one)g(of)g(W)2386 776 y Fl(+)2479
44853 812 y Fw(or)g(W)2699 776 y Fk(\000)2758 812 y Fw(,)h(but)g(not)f(b)s
44854 (oth,)813 933 y Fj(\027)861 948 y Fh(\026)908 933 y Fj(\026)967
44855 897 y Fl(+)1266 933 y Fw(4)185 b(allo)m(w)m(ed)32 b(for)g(one)g(of)g(W)
44856 2386 897 y Fl(+)2479 933 y Fw(or)g(W)2699 897 y Fk(\000)2758
44857 933 y Fw(,)h(but)g(not)f(b)s(oth,)1500 1053 y(and)g(not)h(in)f(com)m
44858 (bination)e(with)i Fj(\027)2802 1068 y Fl(e)2838 1053
44859 y Fw(e)2881 1017 y Fl(+)2940 1053 y Fw(,)818 1174 y Fj(\027)866
44860 1189 y Fh(\034)909 1174 y Fj(\034)962 1137 y Fl(+)1266
44861 1174 y Fw(5)185 b(allo)m(w)m(ed)32 b(for)g(the)h(other)f(W)q(,)h(but)g
44862 (not)g(b)s(oth,)812 1294 y Fj(\027)860 1309 y Fh(\037)908
44863 1294 y Fj(\037)969 1258 y Fk(\000)1227 1294 y Fn(\000)p
44864 Fw(1)147 b(not)32 b(pro)s(duced)i(and)e(do)s(es)h(not)g(con)m(tribute)f
44865 (to)h(W)h(width.)709 1421 y(A)43 b(W)926 1384 y Fl(+)986
44866 1421 y Fw(W)1087 1384 y Fk(\000)1190 1421 y Fw(\014nal)f(state)i(u)p
44867 1721 1341 V(d)30 b(+)p 1911 1368 44 4 v 30 w(cs)44 b(is)f(allo)m(w)m
44868 (ed,)i(but)f(not)f(its)g(c)m(harge)h(conjugate)p 709
44869 1476 55 4 v 709 1529 a(ud)33 b(+)g(c)p 1002 1476 39 4
44870 v(s)q(,)52 b(since)d(the)g(latter)e(deca)m(y)j(mo)s(de)d(is)h(not)g
44871 (allo)m(w)m(ed)g(for)g(a)g(W)3434 1493 y Fl(+)3494 1529
44872 y Fw(.)91 b(The)709 1637 y(com)m(bination)41 b Fj(\027)1323
44873 1652 y Fl(e)1359 1637 y Fw(e)1402 1601 y Fl(+)1491 1637
44874 y Fw(+)35 b(\026)-54 b Fj(\027)1645 1652 y Fh(\034)1688
44875 1637 y Fj(\034)1741 1601 y Fk(\000)1844 1637 y Fw(is)43
44876 b(allo)m(w)m(ed,)j(since)e(the)g(t)m(w)m(o)h(c)m(hannels)f(b)s(elong)f
44877 (to)709 1746 y(di\013eren)m(t)38 b(groups,)h(but)g(not)e
44878 Fj(\027)1858 1761 y Fl(e)1894 1746 y Fw(e)1937 1709 y
44879 Fl(+)2022 1746 y Fw(+)32 b(\026)-55 b Fj(\027)2172 1761
44880 y Fh(\026)2219 1746 y Fj(\026)2278 1709 y Fk(\000)2336
44881 1746 y Fw(,)40 b(where)f(b)s(oth)f(b)s(elong)f(to)g(the)i(same.)709
44882 1868 y(Both)32 b(u)p 1005 1788 55 4 v(d)23 b(+)k(\026)-54
44883 b Fj(\027)1228 1883 y Fh(\034)1271 1868 y Fj(\034)1324
44884 1831 y Fk(\000)1416 1868 y Fw(and)p 1606 1815 V 33 w(ud)22
44885 b(+)g Fj(\027)1882 1883 y Fh(\034)1926 1868 y Fj(\034)1979
44886 1831 y Fl(+)2071 1868 y Fw(are)32 b(allo)m(w)m(ed,)g(since)h(there)h
44887 (is)e(no)g(clash.)44 b(The)709 1976 y(full)25 b(ruleb)s(o)s(ok,)j(for)e
44888 (this)h(case,)j(is)c(giv)m(en)i(b)m(y)g(eq.)g(\(95\).)41
44889 b(A)28 b(term)e Fj(r)3097 1940 y Fl(2)3094 2001 y Fh(i)3164
44890 1976 y Fw(means)h(c)m(hannel)709 2084 y Fj(i)39 b Fw(is)g(allo)m(w)m
44891 (ed)g(for)f(W)1496 2048 y Fl(+)1595 2084 y Fw(and)h(W)1892
44892 2048 y Fk(\000)1991 2084 y Fw(sim)m(ultaneously)-8 b(,)40
44893 b(a)f(term)g Fj(r)3053 2099 y Fh(i)3081 2084 y Fj(r)3125
44894 2099 y Fh(j)3201 2084 y Fw(that)g(c)m(hannels)709 2193
44895 y Fj(i)e Fw(and)h Fj(j)43 b Fw(ma)m(y)37 b(b)s(e)h(com)m(bined,)g(and)g
44896 (a)f(term)g(2)p Fj(r)2492 2208 y Fh(i)2520 2193 y Fj(r)2564
44897 2208 y Fh(j)2638 2193 y Fw(that)g(c)m(hannels)h Fj(i)g
44898 Fw(and)f Fj(j)44 b Fw(ma)m(y)709 2301 y(b)s(e)35 b(com)m(bined)f(t)m(w)
44899 m(o)i(w)m(a)m(ys,)h(i.e.)49 b(that)35 b(also)f(a)g(c)m(harge)h
44900 (conjugate)g(com)m(bination)e(is)709 2409 y(allo)m(w)m(ed.)0
44901 2518 y Fq(MDME\(IDC,2\))54 b(:)48 b Fw(information)26
44902 b(on)j(sp)s(ecial)f(matrix-elemen)m(t)f(treatmen)m(t)i(for)f(deca)m(y)j
44903 (c)m(hannel)e(IDC.)472 2626 y(In)43 b(addition)e(to)h(the)h(outline)f
44904 (b)s(elo)m(w,)j(sp)s(ecial)c(rules)i(apply)f(for)g(the)h(order)g(in)f
44905 (whic)m(h)472 2734 y(deca)m(y)h(pro)s(ducts)g(should)e(b)s(e)h(giv)m
44906 (en,)i(so)d(that)h(matrix)e(elemen)m(ts)i(and)f(colour)g(\015o)m(w)h
44907 (is)472 2843 y(prop)s(erly)34 b(treated.)49 b(One)35
44908 b(suc)m(h)g(example)f(is)g(the)g(w)m(eak)i(matrix)c(elemen)m(ts,)j
44909 (whic)m(h)g(only)472 2951 y(will)j(b)s(e)j(correct)g(if)e(deca)m(y)i
44910 (pro)s(ducts)g(are)f(giv)m(en)h(in)e(the)i(righ)m(t)e(order.)67
44911 b(The)41 b(program)472 3059 y(do)s(es)e(not)g(p)s(olice)e(this,)j(so)e
44912 (if)g(y)m(ou)h(in)m(tro)s(duce)f(c)m(hannels)i(of)e(y)m(our)h(o)m(wn)g
44913 (and)g(use)g(these)472 3168 y(co)s(des,)34 b(y)m(ou)f(should)g(b)s(e)f
44914 (guided)h(b)m(y)g(the)g(existing)f(particle)f(data.)236
44915 3276 y Fq(=)52 b(0)f(:)217 b Fw(no)43 b(sp)s(ecial)g(matrix-elemen)m(t)
44916 e(treatmen)m(t;)50 b(partons)43 b(and)h(particles)f(are)h(copied)709
44917 3384 y(directly)d(to)h(the)g(ev)m(en)m(t)i(record,)h(with)c(momen)m
44918 (tum)g(distributed)g(according)h(to)709 3493 y(phase)33
44919 b(space.)236 3601 y Fq(=)52 b(1)f(:)217 b Fj(!)35 b Fw(and)e
44920 Fj(\036)f Fw(deca)m(ys)j(in)m(to)d(three)h(pions,)f(eq.)45
44921 b(\(205\).)236 3709 y Fq(=)52 b(2)f(:)217 b Fj(\031)768
44922 3673 y Fl(0)840 3709 y Fw(or)32 b Fj(\021)k Fw(Dalitz)30
44923 b(deca)m(y)k(to)e Fj(\015)5 b Fw(e)1823 3673 y Fl(+)1883
44924 3709 y Fw(e)1926 3673 y Fk(\000)1985 3709 y Fw(,)33 b(eq.)g(\(207\).)
44925 236 3818 y Fq(=)52 b(3)f(:)217 b Fw(used)52 b(for)f(v)m(ector)i(meson)f
44926 (deca)m(ys)h(in)m(to)e(t)m(w)m(o)h(pseudoscalars,)58
44927 b(to)51 b(signal)f(non-)709 3926 y(isotropic)31 b(deca)m(y)j(angle)e
44928 (according)f(to)i(eq.)44 b(\(206\),)32 b(where)i(relev)-5
44929 b(an)m(t.)236 4034 y Fq(=)52 b(4)f(:)217 b Fw(deca)m(y)41
44930 b(of)e(a)g(spin)g(1)g(onium)f(resonance)j(to)e(three)h(gluons)f(or)h
44931 (to)f(a)g(photon)g(and)709 4143 y(t)m(w)m(o)e(gluons,)g(eq.)g(\(44\).)
44932 55 b(The)37 b(gluons)f(ma)m(y)h(subsequen)m(tly)i(dev)m(elop)e(a)f(sho)
44933 m(w)m(er)j(if)709 4251 y Fq(MSTJ\(23\)=1)p Fw(.)236 4359
44934 y Fq(=)52 b(11)g(:)165 b Fw(phase-space)34 b(pro)s(duction)e(of)g
44935 (hadrons)h(from)e(the)i(quarks)h(a)m(v)-5 b(ailable.)236
44936 4468 y Fq(=)52 b(12)g(:)165 b Fw(as)32 b Fq(=11)p Fw(,)i(but)f(for)f
44937 (onia)f(resonances,)j(with)f(the)g(option)e(of)h(mo)s(difying)e(the)j
44938 (m)m(ulti-)709 4576 y(plicit)m(y)e(distribution)f(separately)-8
44939 b(.)236 4684 y Fq(=)52 b(13)g(:)165 b Fw(as)32 b Fq(=11)p
44940 Fw(,)h(but)f(at)f(least)h(three)g(hadrons)h(to)e(b)s(e)h(pro)s(duced)h
44941 (\(useful)f(when)h(the)f(t)m(w)m(o-)709 4793 y(b)s(o)s(dy)g(deca)m(ys)j
44942 (are)d(giv)m(en)h(explicitly\).)236 4901 y Fq(=)52 b(14)g(:)165
44943 b Fw(as)32 b Fq(=11)p Fw(,)i(but)f(at)f(least)g(four)g(hadrons)h(to)g
44944 (b)s(e)f(pro)s(duced.)236 5009 y Fq(=)52 b(15)g(:)165
44945 b Fw(as)32 b Fq(=11)p Fw(,)i(but)f(at)f(least)g(\014v)m(e)i(hadrons)f
44946 (to)f(b)s(e)h(pro)s(duced.)236 5118 y Fq(=)52 b(22)g(-)f(30)h(:)47
44947 b Fw(phase-space)f(pro)s(duction)d(of)g(hadrons)i(from)d(the)j(quarks)g
44948 (a)m(v)-5 b(ailable,)44 b(with)709 5226 y(the)33 b(m)m(ultiplicit)m(y)c
44949 (\014xed)k(to)g(b)s(e)f Fq(MDME\(IDC,2\)-20)p Fw(,)37
44950 b(i.e.)43 b(2{10.)236 5335 y Fq(=)52 b(31)g(:)165 b Fw(t)m(w)m(o)22
44951 b(or)g(more)f(quarks)i(and)f(particles)f(are)h(distributed)f(according)
44952 g(to)h(phase)g(space.)709 5443 y(If)46 b(three)i(or)e(more)g(pro)s
44953 (ducts,)51 b(the)d(last)e(pro)s(duct)h(is)f(a)g(sp)s(ectator)i(quark,)j
44954 (i.e.)709 5551 y(sitting)31 b(at)h(rest)h(with)f(resp)s(ect)i(to)e(the)
44955 h(deca)m(ying)g(hadron.)236 5660 y Fq(=)52 b(32)g(:)165
44956 b Fw(a)45 b(q)p 854 5607 52 4 v(q)h(or)f(gg)h(pair,)h(distributed)e
44957 (according)f(to)h(phase)h(space)g(\(in)f(angle\),)i(and)1817
44958 5953 y(282)p eop
44959 %%Page: 283 289
44960 283 288 bop 709 -18 a Fw(allo)m(w)m(ed)32 b(to)g(dev)m(elop)h(a)f(sho)m
44961 (w)m(er)j(if)j Fq(MSTJ\(23\)=1)p Fw(.)236 90 y Fq(=)52
44962 b(33)g(:)165 b Fw(a)32 b(triplet)f(q)p Fj(X)p 1228 37
44963 52 4 v 8 w Fw(q,)i(where)h Fj(X)40 b Fw(is)32 b(either)g(a)g(gluon)g
44964 (or)g(a)g(colour-singlet)e(particle;)h(the)709 198 y(\014nal)37
44965 b(particle)g(\()p 1327 145 V(q)q(\))h(is)g(assumed)h(to)f(sit)g(at)g
44966 (rest)h(with)f(resp)s(ect)i(to)e(the)h(deca)m(ying)709
44967 307 y(hadron,)h(and)e(the)h(t)m(w)m(o)h(\014rst)f(particles)e(\(q)i
44968 (and)g Fj(X)8 b Fw(\))38 b(are)h(allo)m(w)m(ed)e(to)i(dev)m(elop)g(a)
44969 709 415 y(sho)m(w)m(er)34 b(if)k Fq(MSTJ\(23\)=1)p Fw(.)236
44970 523 y Fq(=)52 b(41)g(:)165 b Fw(w)m(eak)46 b(deca)m(y)-8
44971 b(,)50 b(where)d(particles)d(are)h(distributed)g(according)g(to)g
44972 (phase)h(space,)709 632 y(m)m(ultiplied)31 b(b)m(y)36
44973 b(a)f(factor)g(from)e(the)j(exp)s(ected)h(shap)s(e)e(of)g(the)g(momen)m
44974 (tum)f(sp)s(ec-)709 740 y(trum)e(of)g(the)h(direct)f(pro)s(duct)h(of)f
44975 (the)h(w)m(eak)h(deca)m(y)g(\(the)f Fj(\027)2922 755
44976 y Fh(\034)2998 740 y Fw(in)e Fj(\034)44 b Fw(deca)m(y\).)236
44977 848 y Fq(=)52 b(42)g(:)165 b Fw(w)m(eak)44 b(deca)m(y)g(matrix)d
44978 (elemen)m(t)i(for)f(quarks)i(and)f(leptons.)74 b(Pro)s(ducts)44
44979 b(ma)m(y)e(b)s(e)709 957 y(giv)m(en)30 b(either)h(in)e(terms)i(of)f
44980 (quarks)i(or)e(hadrons,)h(or)g(leptons)f(for)g(some)g(c)m(hannels.)709
44981 1065 y(If)47 b(the)g(sp)s(ectator)g(system)h(is)f(giv)m(en)g(in)f
44982 (terms)h(of)g(quarks,)52 b(it)46 b(is)g(assumed)i(to)709
44983 1173 y(collapse)38 b(in)m(to)h(one)g(particle)f(from)h(the)g(onset.)65
44984 b(If)39 b(the)h(virtual)e(W)j(deca)m(ys)g(in)m(to)709
44985 1282 y(quarks,)31 b(these)f(quarks)g(are)f(con)m(v)m(erted)i(to)e
44986 (particles,)g(according)f(to)h(phase)g(space)709 1390
44987 y(in)i(the)i(W)i(rest)e(frame,)f(as)g(in)g Fq(=11)p Fw(.)44
44988 b(Is)34 b(in)m(tended)f(for)f Fj(\034)11 b Fw(,)33 b(c)m(harm)f(and)h
44989 (b)s(ottom.)236 1498 y Fq(=)52 b(43)g(:)165 b Fw(as)34
44990 b Fq(=42)p Fw(,)g(but)g(if)f(the)h(W)h(deca)m(ys)h(in)m(to)c(quarks,)k
44991 (these)f(will)c(either)j(app)s(ear)f(as)h(jets)709 1607
44992 y(or,)e(for)g(small)e(masses,)k(collapse)d(in)m(to)h(a)g(one-)h(or)f(t)
44993 m(w)m(o-b)s(o)s(dy)h(system.)236 1715 y Fq(=)52 b(44)g(:)165
44994 b Fw(w)m(eak)35 b(deca)m(y)h(matrix)d(elemen)m(t)h(for)g(quarks)h(and)g
44995 (leptons,)g(where)g(the)g(sp)s(ectator)709 1823 y(system)h(ma)m(y)f
44996 (collapse)f(in)m(to)h(one)g(particle)f(for)h(a)g(small)e(in)m(v)-5
44997 b(arian)m(t)34 b(mass.)52 b(If)35 b(the)709 1932 y(\014rst)26
44998 b(t)m(w)m(o)g(deca)m(y)i(pro)s(ducts)e(are)g(a)g(q)p
44999 2024 1879 V(q)2076 1896 y Fk(0)2125 1932 y Fw(pair,)g(they)h(ma)m(y)e
45000 (dev)m(elop)i(a)e(parton)h(sho)m(w)m(er)709 2040 y(if)42
45001 b Fq(MSTJ\(23\)=1)p Fw(.)58 b(Is)37 b(in)m(tended)g(for)f(top)h(and)f
45002 (b)s(ey)m(ond,)j(but)e(largely)e(sup)s(erseded)709 2148
45003 y(b)m(y)e(the)g(follo)m(wing)d(option.)236 2257 y Fq(=)52
45004 b(45)g(:)165 b Fw(w)m(eak)34 b(deca)m(y)h(q)30 b Fn(!)f
45005 Fw(Wq)1586 2221 y Fk(0)1644 2257 y Fw(or)k Fj(`)c Fn(!)g
45006 Fw(W)q Fj(\027)2112 2272 y Fh(`)2146 2257 y Fw(,)k(where)i(the)f(W)h
45007 (is)e(registered)h(as)g(a)f(deca)m(y)709 2365 y(pro)s(duct)44
45008 b(and)g(subsequen)m(tly)j(treated)d(with)g Fq(MDME=46)p
45009 Fw(.)79 b(T)-8 b(o)44 b(distinguish)f(from)709 2473 y(ordinary)34
45010 b(W)q('s)h(on)g(the)g(mass)f(shell,)h(co)s(de)g(KF=)30
45011 b Fn(\006)p Fw(89)35 b(is)f(used.)50 b(The)36 b(virtual)d(W)709
45012 2582 y(mass)k(is)g(selected)i(according)e(to)g(the)h(standard)g(w)m
45013 (eak)h(deca)m(y)g(matrix)d(elemen)m(t,)709 2690 y(times)g(the)h(W)h
45014 (propagator)e(\(for)g Fq(MSTJ\(25\)=1)p Fw(\).)59 b(There)38
45015 b(ma)m(y)f(b)s(e)g(t)m(w)m(o)g(or)g(three)709 2798 y(deca)m(y)k(pro)s
45016 (ducts;)k(if)38 b(a)i(third)f(this)h(is)f(a)h(sp)s(ectator)h(tak)m(en)f
45017 (to)g(sit)g(at)f(rest.)67 b(The)709 2907 y(sp)s(ectator)32
45018 b(system)h(ma)m(y)f(collapse)f(in)m(to)h(one)g(particle.)42
45019 b(Is)33 b(in)m(tended)g(for)e(top)h(and)709 3015 y(b)s(ey)m(ond.)236
45020 3123 y Fq(=)52 b(46)g(:)165 b Fw(W)23 b(\(KF)f(=)f(89\))h(deca)m(y)h
45021 (in)m(to)f(q)p 1786 3071 V(q)1838 3087 y Fk(0)1883 3123
45022 y Fw(or)g Fj(`\027)2081 3138 y Fh(`)2136 3123 y Fw(according)f(to)h
45023 (relativ)m(e)f(probabilities)e(giv)m(en)709 3232 y(b)m(y)24
45024 b(couplings)e(\(as)h(stored)h(in)e(the)h Fq(BRAT)i Fw(v)m(ector\))f
45025 (times)e(a)h(dynamical)e(phase-space)709 3340 y(factor)41
45026 b(giv)m(en)g(b)m(y)h(the)g(curren)m(t)g(W)h(mass.)70
45027 b(In)42 b(the)g(deca)m(y)-8 b(,)44 b(the)e(correct)g
45028 Fj(V)50 b Fn(\000)28 b Fj(A)709 3448 y Fw(angular)k(distribution)f(is)i
45029 (generated)h(if)e(the)i(W)h(origin)c(is)i(kno)m(wn)i(\(hea)m(vy)g
45030 (quark)709 3557 y(or)29 b(lepton\).)42 b(This)31 b(is)e(therefore)i
45031 (the)f(second)i(step)f(of)e(a)h(deca)m(y)h(with)f Fq(MDME=45)p
45032 Fw(.)44 b(A)709 3665 y(q)p 760 3612 V(q)812 3629 y Fk(0)867
45033 3665 y Fw(pair)32 b(ma)m(y)g(subsequen)m(tly)k(dev)m(elop)d(a)f(sho)m
45034 (w)m(er)i(if)39 b Fq(MSTJ\(23\)=1)p Fw(.)236 3774 y Fq(=)52
45035 b(48)g(:)165 b Fw(as)32 b Fq(=42)p Fw(,)i(but)f(require)g(at)f(least)g
45036 (three)h(deca)m(y)h(pro)s(ducts.)236 3882 y Fq(=)52 b(84)g(-)f(88)h(:)
45037 47 b Fw(map)38 b(the)g(deca)m(y)i(of)d(this)h(particle)f(on)m(to)h(the)
45038 g(generic)g(c,)i(b,)g(t,)f(l)e(or)h(h)g(deca)m(y)709
45039 3990 y(mo)s(des)32 b(de\014ned)i(for)e(K)m(C=84{88.)236
45040 4099 y Fq(=)52 b(101)g(:)114 b Fw(this)36 b(is)h(not)f(a)h(prop)s(er)g
45041 (deca)m(y)h(c)m(hannel,)g(but)f(only)g(to)f(b)s(e)h(considered)h(as)f
45042 (a)g(con-)709 4207 y(tin)m(uation)29 b(line)g(for)h(the)g(deca)m(y)i
45043 (pro)s(duct)f(listing)d(of)i(the)h(immediately)c(preceding)709
45044 4315 y(c)m(hannel.)43 b(Since)31 b(the)h Fq(KFDP)g Fw(arra)m(y)f(can)h
45045 (con)m(tain)e(\014v)m(e)j(deca)m(y)f(pro)s(ducts)g(p)s(er)f(c)m(han-)
45046 709 4424 y(nel,)h(with)h(this)f(co)s(de)h(it)f(is)g(p)s(ossible)h(to)f
45047 (de\014ne)i(c)m(hannels)g(with)e(up)h(to)g(ten)g(deca)m(y)709
45048 4532 y(pro)s(ducts.)52 b(It)36 b(is)f(not)g(allo)m(w)m(ed)g(to)g(ha)m
45049 (v)m(e)h(sev)m(eral)g(con)m(tin)m(uation)f(lines)f(after)i(eac)m(h)709
45050 4640 y(other.)236 4749 y Fq(=)52 b(102)g(:)114 b Fw(this)23
45051 b(is)g(not)g(a)h(prop)s(er)f(deca)m(y)i(c)m(hannel)f(for)f(a)g(deca)m
45052 (ying)h(particle)e(on)i(the)g(mass)f(shell)709 4857 y(\(or)29
45053 b(nearly)h(so\),)g(and)g(is)g(therefore)g(assigned)h(branc)m(hing)e
45054 (ratio)g(0.)42 b(F)-8 b(or)29 b(a)h(particle)709 4965
45055 y(o\013)41 b(the)h(mass)g(shell,)h(this)f(deca)m(y)h(mo)s(de)e(is)g
45056 (allo)m(w)m(ed,)j(ho)m(w)m(ev)m(er.)73 b(By)42 b(including)709
45057 5074 y(this)36 b(c)m(hannel)h(among)e(the)i(others,)i(the)e(switc)m
45058 (hes)h Fq(MDME\(IDC,1\))h Fw(ma)m(y)e(b)s(e)f(used)709
45059 5182 y(to)i(allo)m(w)f(or)i(forbid)e(these)j(c)m(hannels)g(in)e(hard)g
45060 (pro)s(cesses,)43 b(with)38 b(cross)i(sections)709 5290
45061 y(to)31 b(b)s(e)g(calculated)g(separately)-8 b(.)43 b(As)32
45062 b(an)g(example,)f Fj(\015)i Fn(!)27 b Fw(u)p 2862 5237
45063 55 4 v(u)32 b(is)f(not)g(p)s(ossible)g(for)g(a)709 5399
45064 y(massless)i(photon,)f(but)h(is)f(an)h(allo)m(w)m(ed)f(c)m(hannel)h(in)
45065 e(e)2724 5363 y Fl(+)2784 5399 y Fw(e)2827 5363 y Fk(\000)2919
45066 5399 y Fw(annihilation.)0 5561 y Fq(BRAT\(IDC\))54 b(:)47
45067 b Fw(giv)m(e)e(branc)m(hing)g(ratios)f(for)h(the)h(di\013eren)m(t)f
45068 (deca)m(y)i(c)m(hannels.)82 b(In)45 b(principle,)i(the)1817
45069 5953 y(283)p eop
45070 %%Page: 284 290
45071 284 289 bop 472 -18 a Fw(sum)40 b(of)f(branc)m(hing)h(ratios)e(for)h(a)
45072 g(giv)m(en)h(particle)f(should)g(b)s(e)h(unit)m(y)-8
45073 b(.)64 b(Since)40 b(the)g(pro-)472 90 y(gram)h(an)m(yw)m(a)m(y)j(has)e
45074 (to)g(calculate)f(the)h(sum)g(of)f(branc)m(hing)h(ratios)f(left)g(op)s
45075 (en)h(b)m(y)h(the)472 198 y Fq(MDME\(IDC,1\))32 b Fw(v)-5
45076 b(alues)29 b(and)g(normalize)d(to)j(that,)g(y)m(ou)g(need)h(not)f
45077 (explicitly)e(ensure)j(this)472 307 y(normalization,)h(ho)m(w)m(ev)m
45078 (er.)51 b(\(W)-8 b(arnings)34 b(are)g(prin)m(ted)h(in)e
45079 Fq(LUUPDA\(2\))k Fw(calls)c(if)g(the)i(sum)472 415 y(is)27
45080 b(not)h(unit)m(y)-8 b(,)28 b(but)g(this)f(is)g(en)m(tirely)g(in)m
45081 (tended)i(as)e(a)h(help)f(for)g(\014nding)g(user)h(mist)m(ypings.\))472
45082 523 y(F)-8 b(or)32 b(deca)m(y)i(c)m(hannels)g(with)e
45083 Fq(MDME\(IDC,2\))p Fj(>)e Fw(80)i(the)h Fq(BRAT)h Fw(v)-5
45084 b(alues)32 b(are)h(dumm)m(y)-8 b(.)0 686 y Fq(KFDP\(IDC,J\))54
45085 b(:)48 b Fw(con)m(tain)33 b(the)h(deca)m(y)h(pro)s(ducts)g(in)e(the)h
45086 (di\013eren)m(t)g(c)m(hannels,)h(with)f(\014v)m(e)h(p)s(ositions)472
45087 794 y Fq(J=)d Fw(1{5)e(reserv)m(ed)j(for)d(eac)m(h)h(c)m(hannel)h(IDC.)
45088 e(The)i(deca)m(y)g(pro)s(ducts)g(are)e(giv)m(en)h(follo)m(wing)472
45089 902 y(the)26 b(standard)f(KF)f(co)s(de)h(for)f(jets)h(and)g(particles,)
45090 h(with)e(0)h(for)f(trailing)d(empt)m(y)26 b(p)s(ositions.)472
45091 1011 y(Note)32 b(that)f(the)g Fq(MDME\(IDC+1,2\)=101)36
45092 b Fw(option)30 b(allo)m(ws)g(y)m(ou)i(to)e(double)h(the)h(maxim)m(um)
45093 472 1119 y(n)m(um)m(b)s(er)i(of)f(deca)m(y)h(pro)s(duct)g(in)e(a)h(giv)
45094 m(en)g(c)m(hannel)h(from)e(5)h(to)g(10,)g(with)f(the)i(\014v)m(e)g
45095 (latter)472 1227 y(pro)s(ducts)g(stored)f Fq(KFDP\(IDC+1,J\))p
45096 Fw(.)p 0 1372 1338 9 v 0 1730 9 359 v 79 1518 a Fq
45097 (COMMON/LUDAT4/CHAF\(500\))79 1627 y(CHARACTER)54 b(CHAF*8)p
45098 1329 1730 V 0 1738 1338 9 v 0 1870 a Fo(Purp)s(ose:)48
45099 b Fw(to)32 b(giv)m(e)h(access)h(to)e(c)m(haracter)h(t)m(yp)s(e)h(v)-5
45100 b(ariables.)0 2033 y Fq(CHAF)52 b(:)165 b Fw(particle)32
45101 b(names)g(\(excluding)h(c)m(harge\))g(according)f(to)g(K)m(C)h(co)s
45102 (de.)0 2307 y Fp(14.7)136 b(Miscellaneous)46 b(Commen)l(ts)0
45103 2479 y Fw(The)30 b(previous)g(sections)g(ha)m(v)m(e)g(dealt)f(with)g
45104 (the)g(subroutine)h(options)e(and)i(v)-5 b(ariables)27
45105 b(one)j(at)f(a)g(time.)0 2588 y(This)i(is)g(certainly)f(imp)s(ortan)m
45106 (t,)f(but)j(for)e(a)h(full)e(use)j(of)f(the)g(capabilities)e(of)h(the)i
45107 (program,)e(it)g(is)g(also)0 2696 y(necessary)39 b(to)d(understand)j
45108 (ho)m(w)e(to)f(mak)m(e)h(di\013eren)m(t)g(pieces)h(w)m(ork)f(together.)
45109 56 b(This)37 b(is)f(something)0 2804 y(that)24 b(cannot)g(b)s(e)g
45110 (explained)f(fully)g(in)g(a)h(man)m(ual,)g(but)g(m)m(ust)g(also)f(b)s
45111 (e)h(learn)m(t)f(b)m(y)i(trial)d(and)i(error.)40 b(This)0
45112 2913 y(section)28 b(con)m(tains)g(some)g(examples)h(of)e(relationships)
45113 g(b)s(et)m(w)m(een)j(subroutines,)g(common)d(blo)s(c)m(ks)h(and)0
45114 3021 y(parameters.)58 b(It)38 b(also)f(con)m(tains)g(commen)m(ts)h(on)f
45115 (issues)i(that)e(did)g(not)g(\014t)h(in)f(naturally)e(an)m(ywhere)0
45116 3129 y(else,)e(but)g(still)d(migh)m(t)h(b)s(e)i(useful)f(to)h(ha)m(v)m
45117 (e)h(on)e(record.)0 3377 y Fo(14.7.1)113 b(In)m(terfacing)36
45118 b(to)h(detector)g(sim)m(ulation)0 3550 y Fw(V)-8 b(ery)34
45119 b(often,)f(the)h(output)f(of)g(the)g(program)f(is)h(to)f(b)s(e)i(fed)f
45120 (in)m(to)f(a)h(subsequen)m(t)j(detector)e(sim)m(ulation)0
45121 3658 y(program.)89 b(It)49 b(therefore)g(b)s(ecomes)g(necessary)h(to)e
45122 (set)h(up)g(an)f(in)m(terface)h(b)s(et)m(w)m(een)h(the)f
45123 Fq(LUJETS)0 3766 y Fw(common)35 b(blo)s(c)m(k)h(and)g(the)h(detector)g
45124 (mo)s(del.)53 b(Preferrably)36 b(this)g(should)h(b)s(e)f(done)h(via)e
45125 (the)i Fq(HEPEVT)0 3875 y Fw(standard)c(common)f(blo)s(c)m(k,)h(see)h
45126 (section)f(5.4,)f(but)h(sometimes)f(this)h(ma)m(y)f(not)h(b)s(e)g(con)m
45127 (v)m(enien)m(t.)46 b(If)33 b(a)0 3983 y Fq(LUEDIT\(2\))24
45128 b Fw(call)c(is)i(made,)i(the)e(remaining)e(en)m(tries)i(exactly)g
45129 (corresp)s(ond)h(to)f(those)g(an)g(ideal)f(detector)0
45130 4091 y(could)35 b(see:)49 b(all)33 b(non-deca)m(y)m(ed)k(particles,)e
45131 (with)g(the)g(exception)h(of)f(neutrinos.)51 b(The)36
45132 b(translation)d(of)0 4200 y(momen)m(ta)27 b(should)g(b)s(e)h(trivial)d
45133 (\(if)i(need)i(b)s(e,)g(a)e Fq(LUROBO)j Fw(call)c(can)i(b)s(e)g(made)f
45134 (to)h(rotate)f(the)h(`preferred')0 4308 y Fj(z)42 b Fw(direction)35
45135 b(to)i(whatev)m(er)i(is)d(the)h(longitudinal)d(direction)h(of)i(the)g
45136 (detector\),)i(and)e(so)g(should)g(the)0 4416 y(translation)d(of)i
45137 (particle)f(co)s(des.)55 b(In)36 b(particular,)f(if)g(the)i(detector)g
45138 (sim)m(ulation)c(program)i(also)g(uses)0 4525 y(the)42
45139 b(standard)f(P)m(article)g(Data)f(Group)h(co)s(des,)j(no)d(con)m(v)m
45140 (ersion)i(at)d(all)g(is)g(needed.)71 b(The)43 b(problem)0
45141 4633 y(then)35 b(is)g(to)f(select)h(whic)m(h)g(particles)f(are)h(allo)m
45142 (w)m(ed)f(to)g(deca)m(y)-8 b(,)37 b(and)e(ho)m(w)g(deca)m(y)h(v)m
45143 (ertex)h(information)0 4742 y(should)32 b(b)s(e)h(used.)146
45144 4850 y(Sev)m(eral)26 b(switc)m(hes)h(regulate)e(whic)m(h)g(particles)g
45145 (are)g(allo)m(w)m(ed)g(to)g(deca)m(y)-8 b(.)42 b(First,)26
45146 b(the)g(master)f(switc)m(h)0 4958 y Fq(MSTJ\(21\))40
45147 b Fw(can)f(b)s(e)f(used)i(to)e(switc)m(h)h(on/o\013)e(all)f(deca)m(ys)k
45148 (\(and)f(it)e(also)g(con)m(tains)h(a)g(c)m(hoice)h(of)f(ho)m(w)0
45149 5067 y(fragmen)m(tation)c(should)j(b)s(e)f(in)m(terfaced\).)55
45150 b(Second,)38 b(a)e(particle)f(m)m(ust)i(ha)m(v)m(e)g(deca)m(y)h(mo)s
45151 (des)e(de\014ned)0 5175 y(for)g(it,)i(i.e.)56 b(the)37
45152 b(corresp)s(onding)i Fq(MDCY\(KC,2\))g Fw(and)e Fq(MDCY\(KC,3\))j
45153 Fw(en)m(tries)e(m)m(ust)f(b)s(e)g(non-zero)g(for)0 5283
45154 y(compressed)44 b(co)s(de)e Fq(KC)52 b(=)f(LUCOMP\(KF\))p
45155 Fw(.)45 b(This)e(is)e(true)i(for)f(all)e(colour)h(neutral)g(particles)h
45156 (except)0 5392 y(the)37 b(neutrinos,)h(the)f(photon,)h(the)g(proton)e
45157 (and)h(the)g(neutron.)57 b(\(This)37 b(statemen)m(t)g(is)f(actually)g
45158 (not)0 5500 y(fully)d(correct,)i(since)f(irrelev)-5 b(an)m(t)33
45159 b(`deca)m(y)i(mo)s(des')f(with)g Fq(MDME\(IDC,2\)=102)k
45160 Fw(exist)c(in)f(some)h(cases.\))1817 5953 y(284)p eop
45161 %%Page: 285 291
45162 285 290 bop 0 -18 a Fw(Third,)36 b(the)g(individual)d(switc)m(h)k(in)d
45163 Fq(MDCY\(KC,1\))39 b Fw(m)m(ust)c(b)s(e)h(on.)52 b(Of)36
45164 b(all)d(the)j(particles)f(with)g(deca)m(y)0 90 y(mo)s(des)d(de\014ned,)
45165 i(only)e Fj(\026)937 54 y Fk(\006)996 90 y Fw(,)h Fj(\031)1115
45166 54 y Fk(\006)1174 90 y Fw(,)f(K)1309 54 y Fk(\006)1401
45167 90 y Fw(and)g(K)1666 54 y Fl(0)1666 114 y(L)1747 90 y
45168 Fw(are)h(b)m(y)g(default)f(considered)h(stable.)146 198
45169 y(Finally)-8 b(,)39 b(if)46 b Fq(MSTJ\(22\))41 b Fw(do)s(es)f(not)g(ha)
45170 m(v)m(e)h(its)e(default)g(v)-5 b(alue)39 b(1,)i(c)m(hec)m(ks)i(are)c
45171 (also)g(made)g(on)h(the)0 307 y(lifetime)22 b(of)j(a)g(particle)f(b)s
45172 (efore)i(it)e(is)h(allo)m(w)m(ed)g(to)g(deca)m(y)-8 b(.)42
45173 b(In)26 b(the)f(simplest)g(alternativ)m(e,)h Fq(MSTJ\(22\)=2)p
45174 Fw(,)0 415 y(the)36 b(comparison)e(is)g(based)i(on)f(the)h(a)m(v)m
45175 (erage)g(lifetime,)d(or)i(rather)g Fj(c\034)11 b Fw(,)36
45176 b(measured)g(in)e(mm.)50 b(Th)m(us)37 b(if)0 523 y(the)i(limit)c
45177 Fq(PARJ\(71\))40 b Fw(is)e(\(the)h(default\))f(10)g(mm,)g(then)h(deca)m
45178 (ys)i(of)d(K)2651 487 y Fl(0)2651 548 y(S)2694 523 y
45179 Fw(,)i(\003,)g(\006)2966 487 y Fk(\000)3025 523 y Fw(,)g(\006)3162
45180 487 y Fl(+)3221 523 y Fw(,)g(\004)3353 487 y Fk(\000)3413
45181 523 y Fw(,)f(\004)3544 487 y Fl(0)3622 523 y Fw(and)0
45182 632 y(\012)70 595 y Fk(\000)164 632 y Fw(are)34 b(all)f(switc)m(hed)i
45183 (o\013,)g(but)f(c)m(harm)h(and)f(b)s(ottom)f(still)f(deca)m(y)-8
45184 b(.)50 b(No)34 b Fj(c\034)46 b Fw(v)-5 b(alues)35 b(b)s(elo)m(w)f(1)g
45185 (micron)0 740 y(are)f(de\014ned.)47 b(With)33 b(the)g(t)m(w)m(o)h
45186 (options)f Fq(MSTJ\(22\)=)i Fw(3)e(or)g(4,)g(a)g(spherical)g(or)g
45187 (cylindrical)d(v)m(olume)j(is)0 848 y(de\014ned)h(around)f(the)g
45188 (origin,)d(and)j(all)d(deca)m(ys)35 b(taking)c(place)i(inside)f(this)g
45189 (v)m(olume)g(are)h(ignored.)146 957 y(Whenev)m(er)39
45190 b(a)e(particle)e(is)i(in)f(principle)f(allo)m(w)m(ed)h(to)g(deca)m(y)-8
45191 b(,)40 b(i.e.)55 b Fq(MSTJ\(21\))39 b Fw(and)e Fq(MDCY)h
45192 Fw(on,)g(an)0 1065 y(prop)s(er)30 b(lifetime)d(is)j(selected)h(once)g
45193 (and)f(for)f(all)f(and)i(stored)h(in)e Fq(V\(I,5\))p
45194 Fw(.)45 b(The)31 b Fq(K\(I,1\))g Fw(is)f(then)g(also)0
45195 1173 y(c)m(hanged)38 b(to)f(4.)57 b(F)-8 b(or)36 b Fq(MSTJ\(22\)=1)p
45196 Fw(,)41 b(suc)m(h)e(a)e(particle)f(will)e(also)j(deca)m(y)-8
45197 b(,)39 b(but)f(else)f(it)f(could)h(remain)0 1282 y(in)k(the)i(ev)m(en)m
45198 (t)g(record.)72 b(It)42 b(is)g(then)g(p)s(ossible,)i(at)e(a)f(later)g
45199 (stage,)k(to)c(expand)i(the)g(v)m(olume)e(inside)0 1390
45200 y(whic)m(h)d(deca)m(ys)h(are)f(allo)m(w)m(ed,)g(and)f(do)h(a)f(new)j
45201 Fq(LUEXEC)f Fw(call)c(to)i(ha)m(v)m(e)i(particles)e(ful\014lling)d(the)
45202 k(new)0 1498 y(conditions)33 b(\(but)h(not)g(the)h(old\))e(deca)m(y)-8
45203 b(.)49 b(As)34 b(a)g(further)h(option,)e(the)h Fq(K\(I,1\))i
45204 Fw(co)s(de)e(ma)m(y)g(b)s(e)h(put)f(to)0 1607 y(5,)h(signalling)30
45205 b(that)35 b(the)f(particle)f(will)f(de\014nitely)j(deca)m(y)g(in)f(the)
45206 h(next)g Fq(LUEXEC)h Fw(call,)d(at)h(the)h(v)m(ertex)0
45207 1715 y(p)s(osition)c(giv)m(en)h(\(b)m(y)i(the)f(user\))g(in)f(the)h
45208 Fq(V)g Fw(v)m(ector.)146 1823 y(This)38 b(then)g(allo)m(ws)f(the)h
45209 Fm(Jetset)f Fw(deca)m(y)i(routines)e(to)h(b)s(e)g(used)g(inside)f(a)h
45210 (detector)g(sim)m(ulation)0 1932 y(program,)c(as)h(follo)m(ws.)49
45211 b(F)-8 b(or)34 b(a)h(particle)e(whic)m(h)j(did)e(not)g(deca)m(y)j(b)s
45212 (efore)e(en)m(tering)f(the)i(detector,)g(its)0 2040 y(p)s(oin)m(t)h(of)
45213 g(deca)m(y)j(is)d(still)e(w)m(ell)i(de\014ned)j(\(in)d(the)h(absence)h
45214 (of)f(de\015ections)g(b)m(y)h(electric)e(or)h(magnetic)0
45215 2148 y(\014elds\),)32 b(eq.)h(\(204\).)42 b(If)32 b(it)f(in)m(teracts)h
45216 (b)s(efore)f(that)h(p)s(oin)m(t,)f(the)h(detector)h(sim)m(ulation)c
45217 (program)h(is)h(left)0 2257 y(to)h(handle)g(things.)43
45218 b(If)33 b(not,)f(the)h Fq(V)f Fw(v)m(ector)i(is)e(up)s(dated)h
45219 (according)e(to)h(the)h(form)m(ula)e(ab)s(o)m(v)m(e,)i
45220 Fq(K\(I,1\))0 2365 y Fw(is)26 b(set)h(to)e(5,)j(and)e
45221 Fq(LUEXEC)h Fw(is)f(called,)g(to)g(giv)m(e)g(a)g(set)h(of)f(deca)m(y)h
45222 (pro)s(ducts,)h(that)e(can)h(again)d(b)s(e)j(trac)m(k)m(ed.)146
45223 2473 y(A)41 b(further)h(p)s(ossibilit)m(y)d(is)h(to)h(force)g
45224 (particles)g(to)f(deca)m(y)j(in)m(to)d(sp)s(eci\014c)i(deca)m(y)h(c)m
45225 (hannels;)j(this)0 2582 y(ma)m(y)33 b(b)s(e)h(particularly)d(in)m
45226 (teresting)i(for)f(c)m(harm)h(or)g(b)s(ottom)f(ph)m(ysics.)47
45227 b(The)35 b(c)m(hoice)e(of)g(c)m(hannels)h(left)0 2690
45228 y(op)s(en)43 b(is)f(determined)g(b)m(y)h(the)g(v)-5 b(alues)43
45229 b(of)f(the)g(switc)m(hes)i Fq(MDME\(IDC,1\))i Fw(for)c(deca)m(y)i(c)m
45230 (hannel)e(IDC)0 2798 y(\(use)33 b Fq(LULIST\(12\))j Fw(to)c(obtain)f
45231 (the)i(full)e(listing\).)41 b(One)33 b(or)f(sev)m(eral)h(c)m(hannels)h
45232 (ma)m(y)e(b)s(e)h(left)e(op)s(en;)i(in)0 2907 y(the)f(latter)f(case)i
45233 (e\013ectiv)m(e)g(branc)m(hing)f(ratios)f(are)h(automatically)c
45234 (recalculated)k(without)f(the)h(need)0 3015 y(for)j(y)m(our)i(in)m
45235 (terv)m(en)m(tion.)54 b(It)36 b(is)g(also)f(p)s(ossible)g(to)h
45236 (di\013eren)m(tiate)f(b)s(et)m(w)m(een)j(whic)m(h)e(c)m(hannels)h(are)f
45237 (left)0 3123 y(op)s(en)31 b(for)g(particles)f(and)h(whic)m(h)h(for)f
45238 (an)m(tiparticles.)41 b(Lifetimes)30 b(are)h(not)g(a\013ected)h(b)m(y)g
45239 (the)f(exclusion)0 3232 y(of)j(some)f(deca)m(y)j(c)m(hannels.)48
45240 b(Note)35 b(that,)f(whereas)h(forced)g(deca)m(ys)h(can)e(enhance)h(the)
45241 g(e\016ciency)g(for)0 3340 y(sev)m(eral)27 b(kinds)g(of)f(studies,)j
45242 (it)d(can)g(also)g(in)m(tro)s(duce)h(unexp)s(ected)i(biases,)f(in)e
45243 (particular)e(when)k(ev)m(en)m(ts)0 3448 y(ma)m(y)k(con)m(tain)g(sev)m
45244 (eral)i(particles)e(with)g(forced)h(deca)m(ys,)h(cf.)44
45245 b(section)33 b(7.6.2.)0 3696 y Fo(14.7.2)113 b(P)m(arameter)36
45246 b(v)-6 b(alues)0 3869 y Fw(A)45 b(non-trivial)d(question)k(is)e(to)h
45247 (kno)m(w)h(whic)m(h)f(parameter)g(v)-5 b(alues)45 b(to)g(use.)81
45248 b(The)46 b(default)f(v)-5 b(alues)0 3977 y(stored)40
45249 b(in)f(the)g(program)f(are)i(based)g(on)f(comparisons)g(with)g(LEP)h(e)
45250 2648 3941 y Fl(+)2708 3977 y Fw(e)2751 3941 y Fk(\000)2849
45251 3977 y Fn(!)f Fw(Z)3048 3941 y Fl(0)3126 3977 y Fw(data)g(at)g(around)0
45252 4086 y(91)47 b(GeV)g([LEP90)q(],)k(using)c(a)g(parton-sho)m(w)m(er)h
45253 (picture)g(follo)m(w)m(ed)e(b)m(y)j(string)d(fragmen)m(tation.)87
45254 b(If)0 4194 y(fragmen)m(tation)39 b(is)h(indeed)h(an)g(univ)m(ersal)g
45255 (phenomenon,)i(as)e(w)m(e)h(w)m(ould)f(lik)m(e)f(to)h(think,)i(then)e
45256 (the)0 4302 y(same)34 b(parameters)f(should)h(also)f(apply)g(at)g
45257 (other)h(energies)g(and)g(in)f(other)h(pro)s(cesses.)49
45258 b(The)34 b(former)0 4411 y(asp)s(ect,)i(at)e(least,)h(seems)h(to)e(b)s
45259 (e)h(b)s(orne)g(out)f(b)m(y)i(comparisons)e(with)g(lo)m(w)m(er-energy)i
45260 (PETRA/PEP)0 4519 y(data.)82 b(Note,)48 b(ho)m(w)m(ev)m(er,)k(that)45
45261 b(the)h(c)m(hoice)f(of)g(parameters)h(is)f(in)m(tert)m(wined)g(with)g
45262 (the)h(c)m(hoice)g(of)0 4627 y(p)s(erturbativ)m(e)33
45263 b(QCD)g(description.)45 b(If)33 b(instead)g(matrix)f(elemen)m(ts)h(are)
45264 g(used,)i(a)d(b)s(est)i(\014t)f(to)g(30)g(GeV)0 4736
45265 y(data)h(w)m(ould)g(require)g(the)h(v)-5 b(alues)34 b
45266 Fq(PARJ\(21\)=0.40)p Fw(,)k Fq(PARJ\(41\)=1.0)f Fw(and)e
45267 Fq(PARJ\(42\)=0.7)p Fw(.)51 b(With)0 4844 y(matrix)27
45268 b(elemen)m(ts)h(one)h(do)s(es)g(not)f(exp)s(ect)i(an)e(energy)h(indep)s
45269 (endence)h(of)e(the)h(parameters,)g(since)g(the)0 4952
45270 y(e\013ectiv)m(e)34 b(minim)m(um)c(in)m(v)-5 b(arian)m(t)31
45271 b(mass)i(cut-o\013)f(is)h(then)g(energy)h(dep)s(enden)m(t,)h(i.e.)44
45272 b(so)33 b(is)g(the)g(amoun)m(t)0 5061 y(of)i(soft)h(gluon)f(emission)f
45273 (e\013ects)k(lump)s(ed)c(together)i(with)g(the)g(fragmen)m(tation)e
45274 (parameters.)53 b(This)0 5169 y(is)37 b(indeed)g(con\014rmed)h(b)m(y)g
45275 (the)f(LEP)h(data.)57 b(A)37 b(mismatc)m(h)f(in)g(the)i(p)s(erturbativ)
45276 m(e)g(QCD)f(treatmen)m(t)0 5277 y(could)32 b(also)g(lead)g(to)g(small)e
45277 (di\013erences)k(b)s(et)m(w)m(een)h(di\013eren)m(t)d(pro)s(cesses.)146
45278 5386 y(It)j(is)e(often)i(said)e(that)h(the)h(string)e(fragmen)m(tation)
45279 g(mo)s(del)f(con)m(tains)j(a)e(w)m(ealth)i(of)e(parameters.)0
45280 5494 y(This)39 b(is)e(certainly)h(true,)i(but)f(it)e(m)m(ust)i(b)s(e)g
45281 (remem)m(b)s(ered)f(that)g(most)g(of)g(these)i(deal)e(with)g(\015a)m(v)
45282 m(our)0 5602 y(prop)s(erties,)32 b(and)f(to)g(a)g(large)f(exten)m(t)j
45283 (factorize)d(from)g(the)i(treatmen)m(t)f(of)g(the)h(general)f(ev)m(en)m
45284 (t)i(shap)s(e.)1817 5953 y(285)p eop
45285 %%Page: 286 292
45286 286 291 bop 0 -18 a Fw(In)33 b(a)g(\014t)f(to)h(the)g(latter)f(it)f(is)
45287 i(therefore)g(usually)f(enough)h(to)f(consider)i(the)f(parameters)f(of)
45288 h(the)g(p)s(er-)0 90 y(turbativ)m(e)j(QCD)g(treatmen)m(t,)h(lik)m(e)f
45289 (\003)f(in)h Fj(\013)1633 105 y Fl(s)1701 90 y Fw(and)g(a)g(sho)m(w)m
45290 (er)i(cut-o\013)e Fj(Q)2690 105 y Fl(0)2765 90 y Fw(\(or)g
45291 Fj(\013)2988 105 y Fl(s)3056 90 y Fw(itself)f(and)h Fj(y)3537
45292 105 y Fl(min)3659 90 y Fw(,)h(if)0 198 y(matrix)c(elemen)m(ts)i(are)f
45293 (used\),)j(the)d Fj(a)h Fw(and)g Fj(b)g Fw(parameter)f(of)g(the)h(Lund)
45294 g(symmetric)e(fragmen)m(tation)0 307 y(function)f(\()p
45295 Fq(PARJ\(41\))i Fw(and)e Fq(PARJ\(42\))p Fw(\))i(and)f(the)f(width)g
45296 (of)g(the)h(transv)m(erse)h(momen)m(tum)d(distribu-)0
45297 415 y(tion)g(\()p Fj(\033)h Fw(=)p Fq(PARJ\(21\))p Fw(\).)45
45298 b(In)32 b(addition,)f(the)h Fj(a)h Fw(and)f Fj(b)g Fw(parameters)g(are)
45299 g(v)m(ery)i(strongly)e(correlated)g(b)m(y)0 523 y(the)g(requiremen)m(t)
45300 g(of)f(ha)m(ving)g(the)h(correct)g(a)m(v)m(erage)h(m)m(ultiplicit)m(y)
45301 -8 b(,)28 b(suc)m(h)33 b(that)e(in)g(a)g(t)m(ypical)f
45302 Fj(\037)3513 487 y Fl(2)3584 523 y Fw(plot,)0 632 y(the)e(allo)m(w)m
45303 (ed)f(region)g(corresp)s(onds)i(to)e(a)h(v)m(ery)h(narro)m(w)f(but)g(v)
45304 m(ery)i(long)c(v)-5 b(alley)d(,)28 b(stretc)m(hed)h(diagonally)0
45305 740 y(from)40 b(small)f(\()p Fj(a)p Fw(,)p Fj(b)p Fw(\))j(pairs)f(to)h
45306 (large)e(ones.)71 b(As)42 b(to)f(the)h(\015a)m(v)m(our)g(parameters,)i
45307 (these)f(are)e(certainly)0 848 y(man)m(y)30 b(more,)g(but)h(most)f(of)g
45308 (them)g(are)g(understo)s(o)s(d)h(qualitiativ)m(ely)c(within)i(one)i
45309 (single)e(framew)m(ork,)0 957 y(that)j(of)g(tunnelling)f(pair)h(pro)s
45310 (duction)g(of)g(\015a)m(v)m(ours.)146 1065 y(Since)50
45311 b(the)g(use)h(of)f(indep)s(enden)m(t)h(fragmen)m(tation)c(has)k(fallen)
45312 d(in)h(disresp)s(ect,)55 b(it)49 b(should)g(b)s(e)0 1173
45313 y(p)s(oin)m(ted)31 b(out)h(that)f(the)i(default)e(parameters)g(here)i
45314 (are)f(not)f(particularly)f(w)m(ell)h(tuned)h(to)g(the)g(data.)0
45315 1282 y(This)37 b(esp)s(ecially)f(applies)g(if)g(one,)j(in)d(addition)g
45316 (to)g(asking)h(for)g(indep)s(enden)m(t)h(fragmen)m(tation,)e(also)0
45317 1390 y(asks)45 b(for)f(another)g(setup)i(of)e(fragmen)m(tation)e
45318 (functions,)47 b(i.e.)78 b(other)44 b(than)h(the)f(standard)h(Lund)0
45319 1498 y(symmetric)33 b(one.)47 b(In)34 b(particular,)e(note)i(that)f
45320 (most)g(\014ts)h(to)g(the)g(p)s(opular)e(P)m(eterson)j(et)f(al.)46
45321 b(\(SLA)m(C\))0 1607 y(hea)m(vy-\015a)m(v)m(our)c(fragmen)m(tation)d
45322 (function)h(are)g(based)h(on)f(the)h(actual)f(observ)m(ed)i(sp)s
45323 (ectrum.)67 b(In)41 b(a)0 1715 y(Mon)m(te)35 b(Carlo)e(sim)m(ulation,)f
45324 (one)i(m)m(ust)g(then)h(start)f(out)g(with)f(something)h(harder,)g(to)g
45325 (comp)s(ensate)0 1823 y(for)44 b(the)h(energy)h(lost)e(b)m(y)h
45326 (initial-state)c(photon)k(radiation)d(and)j(gluon)f(bremsstrahlung.)79
45327 b(Since)0 1932 y(indep)s(enden)m(t)48 b(fragmen)m(tation)d(is)h(not)h
45328 (collinear)d(safe)j(\(i.e,)j(the)d(emission)e(of)i(a)f(collinear)e
45329 (gluon)0 2040 y(c)m(hanges)39 b(the)g(prop)s(erties)e(of)h(the)g
45330 (\014nal)f(ev)m(en)m(t\),)k(the)e(tuning)e(is)g(strongly)h(dep)s(enden)
45331 m(t)i(on)d(the)i(p)s(er-)0 2148 y(turbativ)m(e)30 b(QCD)g(treatmen)m(t)
45332 g(c)m(hosen.)45 b(All)28 b(the)j(parameters)f(needed)i(for)d(a)h
45333 (tuning)g(of)f(indep)s(enden)m(t)0 2257 y(fragmen)m(tation)i(are)h(a)m
45334 (v)-5 b(ailable,)30 b(ho)m(w)m(ev)m(er.)0 2504 y Fo(14.7.3)113
45335 b(P)m(article)34 b(prop)s(erties)0 2677 y Fw(The)d(masses)h(of)e(most)g
45336 (frequen)m(tly)h(used)h(particles)d(are)i(tak)m(en)g(from)f(tables.)42
45337 b(F)-8 b(or)30 b(some)g(rare)h(c)m(harm)0 2785 y(and)41
45338 b(b)s(ottom)e(hadrons,)44 b(and)d(for)f(hea)m(vier)i(\015a)m(v)m(our)f
45339 (hadrons,)j(this)d(w)m(ould)f(b)s(e)h(un)m(wieldy)-8
45340 b(,)44 b(and)d(in-)0 2894 y(stead)c(mass)g(form)m(ulae)e(are)i(used,)i
45341 (based)f(on)f(the)g(quark)g(con)m(ten)m(t.)58 b(F)-8
45342 b(or)36 b(the)h(kno)m(wn)h(quarks)g(d,)g(u,)0 3002 y(s,)47
45343 b(c)d(and)f(b,)k(the)d(masses)g(used)h(for)e(this)g(purp)s(ose)h(are)g
45344 (actually)e(the)i(ones)g(stored)g(in)f(p)s(ositions)0
45345 3111 y(101{105)d(in)h(the)h Fq(PARF)h Fw(v)m(ector,)i(rather)d(than)g
45346 (the)g(ones)h(found)f(in)f Fq(PMAS)p Fw(.)i(This)f(means)f(that)h(the)0
45347 3219 y Fq(PMAS)47 b Fw(masses)f(can)g(b)s(e)g(freely)g(c)m(hanged)h(b)m
45348 (y)f(y)m(ou,)k(to)45 b(mo)s(dify)f(the)i(masses)h(that)f(app)s(ear)f
45349 (in)g(the)0 3327 y(ev)m(en)m(t)37 b(record,)g(without)e(courting)f
45350 (disaster)i(elsewhere)h(\(since)f(mass)f(form)m(ulae)f(t)m(ypically)g
45351 (con)m(tain)0 3436 y(1)p Fj(=m)43 b Fw(terms)h(from)e(spin-spin)h
45352 (splittings,)i(it)d(is)h(necessary)j(to)d(ha)m(v)m(e)i(the)f(non-zero)g
45353 (`constituen)m(t')0 3544 y(masses)j(here\).)86 b(Th)m(us)48
45354 b(y)m(ou)f(should)f(nev)m(er)i(touc)m(h)g(the)e(mass)h(v)-5
45355 b(alues)46 b(stored)h(in)f Fq(PARF)p Fw(.)h(F)-8 b(or)46
45356 b(the)0 3652 y(hea)m(vier)40 b(\015a)m(v)m(ours)g(top,)h(lo)m(w)e(and)g
45357 (high,)i(the)e(curren)m(t)i Fq(PMAS)f Fw(v)-5 b(alues)39
45358 b(are)g(alw)m(a)m(ys)h(used.)65 b(F)-8 b(or)38 b(these)0
45359 3761 y(\015a)m(v)m(ours,)44 b(the)c(only)g(individually)e(de\014ned)j
45360 (hadrons)g(are)f(the)h(\015a)m(v)m(our)g(neutral)f Fj(\021)t
45361 Fw(,)i(\002,)g(h)3400 3776 y Fl(1)3440 3761 y Fw(,)g
45362 Fj(\037)3570 3776 y Fl(0)3610 3761 y Fw(,)g Fj(\037)3740
45363 3776 y Fl(1)0 3869 y Fw(and)48 b Fj(\037)266 3884 y Fl(2)353
45364 3869 y Fw(states.)91 b(A)48 b(complete)f(c)m(hange)i(of)e(top)h(mass)g
45365 (in)f(the)h(program)f(th)m(us)i(requires)f(c)m(hang-)0
45366 3977 y(ing)38 b Fq(PMAS\(6,1\))p Fw(,)k Fq(PMAS\(LUCOMP\(661\),1\))p
45367 Fw(,)j Fq(PMAS\(LUCOMP\(663\),1\))p Fw(,)f Fq(PMAS\(LUCOMP\(665\),1\))p
45368 Fw(,)0 4086 y Fq(PMAS\(LUCOMP\(10661\),1\))p Fw(,)32
45369 b Fq(PMAS\(LUCOMP\(10663\),1\))e Fw(and)25 b Fq
45370 (PMAS\(LUCOMP\(20663\),1\))p Fw(.)46 b(Since)0 4194 y(the)40
45371 b(latter)f(hea)m(vy-\015a)m(v)m(our-diagonal)f(states)j(are)e(not)h
45372 (normally)d(pro)s(duced)j(in)f(fragmen)m(tation,)g(it)0
45373 4302 y(w)m(ould)33 b(b)s(e)f(no)h(disaster)g(to)f(forget)g(c)m(hanging)
45374 g(their)g(masses.)146 4411 y(Most)40 b(particles)e(ha)m(v)m(e)i
45375 (separately)f(de\014ned)h(deca)m(y)h(c)m(hannels.)63
45376 b(Ho)m(w)m(ev)m(er,)43 b(there)d(are)e(so)h(man)m(y)0
45377 4519 y(hea)m(vy-\015a)m(v)m(our)c(hadrons)e(with)f(common)f(deca)m(y)j
45378 (desciptions,)e(that)h(a)f(few)h(`pseudoparticles')g(ha)m(v)m(e)0
45379 4627 y(b)s(een)46 b(in)m(tro)s(duced)f(for)g(generic)g(deca)m(ys.)84
45380 b(The)46 b(most)e(frequen)m(tly)j(used)f(ones)g(are)f(84)g(for)g(c)m
45381 (harm)0 4736 y(deca)m(ys,)27 b(85)22 b(for)g(b)s(ottom)f(deca)m(ys)j
45382 (and)f(86)f(for)g(top)h(deca)m(ys.)42 b(Instead)23 b(of)g(a)f(long)f
45383 (list)g(of)h(deca)m(y)i(c)m(hannels,)0 4844 y(sev)m(eral)41
45384 b(b)s(ottom)f(and)h(c)m(harm)f(bary)m(ons)i(and)f(all)d(top)j(hadrons)g
45385 (therefore)h(only)e(ha)m(v)m(e)i(one)f(`deca)m(y)0 4952
45386 y(c)m(hannel',)h(whic)m(h)e(is)f(the)h(instruction)e(to)h(mak)m(e)h
45387 (use)g(of)f(the)h(deca)m(y)h(data)e(for)g(particle)f(84/85/86.)0
45388 5061 y(The)33 b(sp)s(ectator)f(quark)h(of)e(the)h(generic)g(deca)m(y)h
45389 (c)m(hannels)g(is)e(found)h(as)g(the)g(ligh)m(t)e(quark/diquark)j(of)0
45390 5169 y(the)g(hadron)g(considered.)45 b(All)31 b(the)i(mesons)g(in)f
45391 (the)h(b)s(ottom)e(and)i(c)m(harm)g(sectors)h(are)f(individually)0
45392 5277 y(de\014ned,)j(as)e(are)h(the)f(\003)888 5292 y
45393 Fl(c)957 5277 y Fw(and)h(\003)1217 5292 y Fl(b)1294 5277
45394 y Fw(states.)49 b(F)-8 b(or)33 b(top)h(and)g(hea)m(vier)h(hadrons,)g
45395 (the)g(deca)m(y)g(is)f(lik)m(ely)f(to)0 5386 y(b)s(e)e(so)f(fast)g
45396 (that)g(no)h(hadrons)f(at)g(all)f(are)h(pro)s(duced,)i(but)e(if)f(they)
45397 j(are,)f(the)f(generic)h(pseudoparticle)0 5494 y(approac)m(h)i(is)f(a)g
45398 (go)s(o)s(d)g(appro)m(ximation.)146 5602 y(The)j(program)d(con)m(tains)
45399 i(space)g(so)g(that)f(additional)e(new)j(particles)f(ma)m(y)g(b)s(e)h
45400 (in)m(tro)s(duced.)47 b(Al-)1817 5953 y(286)p eop
45401 %%Page: 287 293
45402 287 292 bop 0 -18 a Fw(though)33 b(not)h(completely)e(trivial,)f(this)i
45403 (should)g(not)g(b)s(e)h(b)s(ey)m(ond)g(the)g(abilit)m(y)e(of)g(an)i
45404 (ordinary)e(user.)0 90 y(Basically)-8 b(,)43 b(three)g(steps)h(are)f
45405 (in)m(v)m(olv)m(ed.)73 b(First,)44 b(a)f(mec)m(hanism)e(of)h(pro)s
45406 (duction)g(has)h(to)f(b)s(e)h(in)m(tro-)0 198 y(duced.)63
45407 b(This)39 b(pro)s(duction)f(ma)m(y)h(w)m(ell)f(tak)m(e)h(place)g(in)f
45408 (another)g(program,)h(lik)m(e)f Fm(Pythia)h Fw(or)g(some)0
45409 307 y(user-written)c(corresp)s(ondence,)j(where)e(matrix)d(elemen)m(ts)
45410 i(are)g(used)h(to)f(select)g(the)g(hard)g(pro)s(cess.)0
45411 415 y(In)c(this)g(case)g(the)g(new)h(particle)e(already)g(exists)i(in)e
45412 (the)h Fq(LUJETS)h Fw(common)e(blo)s(c)m(k)g(when)i Fm(Jetset)e
45413 Fw(is)0 523 y(called.)40 b(A)26 b(new)h(particle,)g(meson,)g(bary)m(on)
45414 g(or)f(glueball,)f(ma)m(y)h(also)f(b)s(e)h(a)g(part)g(of)g(the)g
45415 (fragmen)m(tation)0 632 y(pro)s(cess,)42 b(in)d(whic)m(h)h(case)g
45416 Fq(LUKFDI)h Fw(w)m(ould)f(ha)m(v)m(e)g(to)f(b)s(e)h(suitably)f(mo)s
45417 (di\014ed.)62 b(The)41 b(particle)d(migh)m(t)0 740 y(also)d(app)s(ear)h
45418 (as)g(a)f(deca)m(y)i(pro)s(duct)f(from)f(some)h(already)f(existing)g
45419 (particle,)g(and)h(then)h(the)f(deca)m(y)0 848 y(data)28
45420 b(in)g Fq(/LUDAT3/)i Fw(w)m(ould)f(ha)m(v)m(e)g(to)g(b)s(e)f(expanded;)
45421 k(conceiv)-5 b(ably)28 b(also)g Fq(LUDECY)i Fw(w)m(ould)e(b)s(e)h
45422 (a\013ected.)146 957 y(The)j(second)g(step)g(is)e(to)g(teac)m(h)i(to)e
45423 (program)f(to)i(recognize)g(the)g(new)g(particle.)42
45424 b(If)31 b(a)f(KF)g(co)s(de)h(in)0 1065 y(the)h(range)f(41)g(to)g(80)f
45425 (is)h(used,)i(this)e(is)g(automatically)c(tak)m(en)33
45426 b(care)e(of,)h(and)f(in)f(particular)g(the)i(com-)0 1173
45427 y(pressed)j(co)s(de)f(K)m(C)f(coincides)g(with)g(KF.)g(If)g(a)g(whole)g
45428 (sequence)i(of)e(particles)f(is)h(to)g(b)s(e)g(in)m(tro)s(duced,)0
45429 1282 y(with)39 b(KF)g(co)s(des)h(paralleling)c(that)j(of)f(ordinary)h
45430 (mesons/bary)m(ons)i(\(a)e(sup)s(ersymmetric)g(`meson')0
45431 1390 y(m)m(ultiplet,)f(made)h(of)g(a)g(squark)i(plus)e(an)g(an)m
45432 (tiquark,)i(sa)m(y\),)h(then)e Fq(LUCOMP)h Fw(m)m(ust)e(b)s(e)h(mo)s
45433 (di\014ed)e(to)0 1498 y(include)30 b(a)h(mapping)e(from)h(these)i(KF)e
45434 (v)-5 b(alues)31 b(to)f(curren)m(tly)i(un)m(used)h(K)m(C)e(ones,)h(lik)
45435 m(e)e(the)h(range)g(401)0 1607 y(-)j(500.)50 b(It)35
45436 b(is)g(the)g(presence)i(of)e(suc)m(h)h(a)f(mapping)e(that)i(the)g
45437 (program)f(uses)i(to)e(accept)i(a)f(giv)m(en)g(KF)0 1715
45438 y(co)s(de)e(as)g(b)s(ona)f(\014de.)146 1823 y(The)h(third)f(and)g
45439 (\014nal)f(step)i(is)e(to)h(de\014ne)h(the)f(prop)s(erties)g(of)g(this)
45440 f(new)i(particle.)42 b(Th)m(us)34 b(particle)0 1932 y(c)m(harge)45
45441 b(information)c(m)m(ust)k(b)s(e)f(giv)m(en)h(in)f Fq(KCHG)p
45442 Fw(,)h(mass,)j(width)c(and)g(lifetime)e(in)h Fq(PMAS)p
45443 Fw(,)j(particle)0 2040 y(name)39 b(in)g Fq(CHAF)p Fw(,)i(and)f(deca)m
45444 (y)h(data)e(in)g(the)h Fq(MDCY)p Fw(,)h Fq(MDME)p Fw(,)g
45445 Fq(BRAT)f Fw(and)g Fq(KFDP)h Fw(arra)m(ys.)65 b(This)40
45446 b(pro)s(cess)0 2148 y(is)32 b(most)g(con)m(v)m(enien)m(tly)i(carried)e
45447 (out)h(b)m(y)h(using)f Fq(LUUPDA\(1\))i Fw(to)e(pro)s(duce)g(a)f(table)
45448 g(of)g(particle)g(data,)0 2257 y(whic)m(h)g(can)f(then)g(b)s(e)h(mo)s
45449 (di\014ed,)e(and)h(afterw)m(ards)h(read)f(bac)m(k)h(in)e(with)h
45450 Fq(LUUPDA\(2\))p Fw(.)45 b(Note)31 b(that)g(the)0 2365
45451 y(particle)g(data)h(is)h(to)f(b)s(e)h(in)m(tro)s(duced)f(for)g(the)h
45452 (compressed)h(co)s(de)f(K)m(C,)g(not)g(for)f(KF)g(prop)s(er.)0
45453 2638 y Fp(14.8)136 b(Examples)0 2811 y Fw(A)33 b(10)f(GeV)g(u)h(quark)g
45454 (jet)g(going)e(out)i(along)e(the)i(+)p Fj(z)k Fw(axis)32
45455 b(is)g(generated)i(with)308 2998 y Fq(CALL)52 b
45456 (LU1ENT\(0,2,10.,0.,0.\))0 3186 y Fw(Note)35 b(that)g(suc)m(h)h(a)f
45457 (single)f(jet)h(is)f(not)h(required)g(to)g(conserv)m(e)i(energy)-8
45458 b(,)37 b(momen)m(tum)c(or)i(\015a)m(v)m(our.)51 b(In)0
45459 3294 y(the)45 b(generation)f(sc)m(heme,)49 b(particles)44
45460 b(with)g(negativ)m(e)h Fj(p)2128 3309 y Fh(z)2213 3294
45461 y Fw(are)f(pro)s(duced)i(as)f(w)m(ell,)i(but)e(these)g(are)0
45462 3403 y(automatically)c(rejected)46 b(unless)g Fq(MSTJ\(3\)=-1)p
45463 Fw(.)82 b(While)44 b(frequen)m(tly)i(used)f(in)f(former)g(da)m(ys,)49
45464 b(the)0 3511 y(one-jet)32 b(generation)g(option)g(is)g(not)g(of)g(m)m
45465 (uc)m(h)i(curren)m(t)f(in)m(terest.)146 3619 y(In)40
45466 b(e.g.)64 b(a)39 b(leptopro)s(duction)f(ev)m(en)m(t)j(a)e(t)m(ypical)g
45467 (situation)f(could)h(b)s(e)g(a)g(u)h(quark)g(going)e(out)h(in)0
45468 3728 y(the)i(+)p Fj(z)k Fw(direction)39 b(and)h(a)h(ud)1151
45469 3743 y Fl(0)1231 3728 y Fw(target)f(remnan)m(t)g(essen)m(tially)g(at)g
45470 (rest.)67 b(\(Suc)m(h)42 b(a)e(pro)s(cess)i(can)e(b)s(e)0
45471 3836 y(sim)m(ulated)30 b(b)m(y)k Fm(Pythia)p Fw(,)e(but)g(here)g(w)m(e)
45472 h(illustrate)c(ho)m(w)j(to)f(do)h(part)f(of)g(it)g(y)m(ourself.\))43
45473 b(The)33 b(simplest)0 3944 y(pro)s(cedure)c(is)f(probably)g(to)g(treat)
45474 h(the)g(pro)s(cess)g(in)f(the)h(c.m.)42 b(frame)27 b(and)i(b)s(o)s(ost)
45475 f(it)f(to)h(the)h(lab)e(frame)0 4053 y(afterw)m(ards.)43
45476 b(Hence,)32 b(if)c(the)i(c.m.)43 b(energy)30 b(is)f(20)g(GeV)h(and)g
45477 (the)g(b)s(o)s(ost)f Fj(\014)2725 4068 y Fh(z)2792 4053
45478 y Fw(=)f(0)p Fj(:)p Fw(996)h(\(corresp)s(onding)0 4161
45479 y(to)j Fj(x)174 4176 y Fh(B)263 4161 y Fw(=)c(0)p Fj(:)p
45480 Fw(045\),)j(then)308 4348 y Fq(CALL)52 b(LU2ENT\(0,2,2101,20.\))308
45481 4457 y(CALL)g(LUROBO\(0.,0.,0.,0.,0.996\))0 4644 y Fw(The)34
45482 b(jets)f(could)f(of)g(course)h(also)f(b)s(e)h(de\014ned)h(and)f(allo)m
45483 (w)m(ed)e(to)i(fragmen)m(t)f(in)f(the)i(lab)f(frame)g(with)308
45484 4832 y Fq(CALL)52 b(LU1ENT\(-1,2,223.15,0.,0.\))308 4940
45485 y(CALL)g(LU1ENT\(2,12,0.6837,3.1416)q(,0.\))308 5048
45486 y(CALL)g(LUEXEC)0 5236 y Fw(Note)40 b(here)h(that)f(the)g(target)g
45487 (diquark)g(is)f(required)i(to)f(mo)m(v)m(e)g(in)f(the)i(bac)m(kw)m
45488 (ards)h(direction)d(with)0 5344 y Fj(E)15 b Fn(\000)9
45489 b Fj(p)222 5359 y Fh(z)290 5344 y Fw(=)28 b Fj(m)479
45490 5359 y Fl(p)522 5344 y Fw(\(1)9 b Fn(\000)g Fj(x)759
45491 5359 y Fh(B)821 5344 y Fw(\))26 b(to)g(obtain)f(the)h(correct)h(in)m(v)
45492 -5 b(arian)m(t)25 b(mass)h(for)g(the)g(system.)43 b(This)26
45493 b(is,)h(ho)m(w)m(ev)m(er,)0 5453 y(only)f(an)h(artefact)f(of)h(using)f
45494 (a)g(\014xed)i(diquark)f(mass)g(to)f(represen)m(t)j(a)d(v)-5
45495 b(arying)26 b(target)h(remnan)m(t)f(mass,)0 5561 y(and)32
45496 b(is)f(of)f(no)i(imp)s(ortance)e(for)h(the)h(fragmen)m(tation.)41
45497 b(If)31 b(one)h(w)m(an)m(ts)h(a)e(nicer-lo)s(oking)e(ev)m(en)m(t)k
45498 (record,)0 5669 y(it)f(is)g(p)s(ossible)g(to)g(use)h(the)g(follo)m
45499 (wing)1817 5953 y(287)p eop
45500 %%Page: 288 294
45501 288 293 bop 308 -18 a Fq(CALL)52 b(LU1ENT\(-1,2,223.15,0.,0.\))308
45502 90 y(MSTU\(10\)=1)308 198 y(P\(2,5\)=0.938*\(1.-0.045\))308
45503 307 y(CALL)g(LU1ENT\(2,2101,0.,0.,0.\))308 415 y(MSTU\(10\)=2)308
45504 523 y(CALL)g(LUEXEC)146 715 y Fw(A)33 b(30)f(GeV)h(u)p
45505 662 662 55 4 v(ug)h(ev)m(en)m(t)g(with)e Fj(E)1350 730
45506 y Fl(u)1421 715 y Fw(=)c(8)k(GeV)h(and)g Fj(E)p 2094
45507 691 44 4 v 15 x Fl(u)2165 715 y Fw(=)27 b(14)32 b(GeV)h(is)f(sim)m
45508 (ulated)f(with)308 906 y Fq(CALL)52 b(LU3ENT\(0,2,21,-2,30.,2.*8)q
45509 (./30)q(.,2.)q(*14)q(./30)q(.\))0 1097 y Fw(The)31 b(ev)m(en)m(t)h
45510 (will)c(b)s(e)i(giv)m(en)g(in)f(a)h(standard)g(orien)m(tation)f(with)g
45511 (the)i(u)f(quark)h(along)d(the)j(+)p Fj(z)k Fw(axis)29
45512 b(and)0 1206 y(the)p 162 1153 55 4 v 27 w(u)d(in)g(the)g
45513 Fn(\000)p Fj(z)t(;)17 b Fw(+)p Fj(x)28 b Fw(quadran)m(t.)42
45514 b(Note)26 b(that)g(the)h(\015a)m(v)m(ours)g(of)f(the)h(three)g(partons)
45515 f(ha)m(v)m(e)i(to)e(b)s(e)g(giv)m(en)0 1314 y(in)38 b(the)h(order)f
45516 (they)i(are)e(found)h(along)e(a)h(string,)h(if)f(string)f(fragmen)m
45517 (tation)g(options)h(are)g(to)g(w)m(ork.)0 1422 y(Also)33
45518 b(note)g(that,)h(for)e(3-jet)h(ev)m(en)m(ts,)j(and)d(particularly)e
45519 (4-jet)i(ones,)h(not)f(all)e(setups)k(of)e(kinematical)0
45520 1531 y(v)-5 b(ariables)31 b Fj(x)i Fw(lie)e(within)h(the)h
45521 (kinematically)c(allo)m(w)m(ed)j(regions)g(of)g(phase)i(space.)146
45522 1639 y(All)29 b(common)h(blo)s(c)m(k)h(v)-5 b(ariables)29
45523 b(can)j(ob)m(viously)e(b)s(e)h(c)m(hanged)h(b)m(y)g(including)d(the)j
45524 (corresp)s(onding)0 1747 y(common)h(blo)s(c)m(k)i(in)f(the)i
45525 (user-written)f(main)e(program.)49 b(Alternativ)m(ely)-8
45526 b(,)34 b(the)i(routine)e Fq(LUGIVE)i Fw(can)0 1856 y(b)s(e)f(used)h(to)
45527 e(feed)h(in)f(v)-5 b(alues,)35 b(with)f(some)h(additional)d(c)m(hec)m
45528 (ks)37 b(on)e(arra)m(y)f(b)s(ounds)i(then)f(p)s(erformed.)0
45529 1964 y(A)e(call)308 2155 y Fq(CALL)52 b(LUGIVE\('MSTJ\(21\)=3;PMAS\(C)q
45530 (663,)q(1\)=2)q(10.)q(;CHA)q(F\(40)q(1\)=f)q(unny)q(ino)q(;'//)256
45531 2264 y(&'PMAS\(21,4\)='\))0 2455 y Fw(will)d(th)m(us)k(c)m(hange)g(the)
45532 f(v)-5 b(alue)51 b(of)59 b Fq(MSTJ\(21\))53 b Fw(to)f(3,)k(the)c(v)-5
45533 b(alue)52 b(of)58 b Fq(PMAS\(LUCOMP\(663\),1\))e(=)0
45534 2563 y(PMAS\(136,1\))38 b Fw(to)d(210.,)h(the)g(v)-5
45535 b(alue)34 b(of)42 b Fq(CHAF\(401\))c Fw(to)d('funn)m(yino',)h(and)g
45536 (prin)m(t)f(the)h(curren)m(t)g(v)-5 b(alue)0 2672 y(of)42
45537 b Fq(PMAS\(21,4\))p Fw(.)57 b(Since)36 b(old)f(and)h(new)h(v)-5
45538 b(alues)35 b(of)h(parameters)g(c)m(hanged)h(are)f(written)g(to)f
45539 (output,)0 2780 y(this)h(ma)m(y)g(o\013er)g(a)g(con)m(v)m(enien)m(t)i
45540 (w)m(a)m(y)g(of)e(do)s(cumen)m(ting)f(non-default)g(v)-5
45541 b(alues)37 b(used)g(in)f(a)g(giv)m(en)g(run.)0 2889 y(On)c(the)h(other)
45542 f(hand,)g(if)f(a)h(v)-5 b(ariable)31 b(is)g(c)m(hanged)i(bac)m(k)g(and)
45543 g(forth)e(frequen)m(tly)-8 b(,)34 b(the)e(resulting)f(v)m(olu-)0
45544 2997 y(minous)k(output)h(ma)m(y)g(b)s(e)g(undesirable,)g(and)g(a)g
45545 (direct)g(usage)g(of)g(the)g(common)f(blo)s(c)m(ks)h(is)f(then)i(to)0
45546 3105 y(b)s(e)c(recommended)g(\(the)g(output)f(can)h(also)f(b)s(e)h
45547 (switc)m(hed)g(o\013,)g(see)g Fq(MSTU\(13\))p Fw(\).)146
45548 3214 y(A)28 b(general)g(rule)f(of)h(th)m(um)m(b)g(is)g(that)g(none)g
45549 (of)g(the)g(ph)m(ysics)i(routines)e(\()p Fq(LUSTRF)p
45550 Fw(,)h Fq(LUINDF)p Fw(,)h Fq(LUDECY)p Fw(,)0 3322 y(etc.\))77
45551 b(should)44 b(ev)m(er)h(b)s(e)f(called)f(directly)-8
45552 b(,)46 b(but)e(only)f(via)g Fq(LUEXEC)p Fw(.)i(This)f(routine)f(ma)m(y)
45553 h(b)s(e)g(called)0 3430 y(rep)s(eatedly)24 b(for)f(one)g(single)f(ev)m
45554 (en)m(t.)43 b(A)m(t)23 b(eac)m(h)i(call)c(only)i(those)h(en)m(tries)g
45555 (that)f(are)h(allo)m(w)m(ed)e(to)h(fragmen)m(t)0 3539
45556 y(or)32 b(deca)m(y)-8 b(,)34 b(and)f(ha)m(v)m(e)h(not)e(y)m(et)i(done)f
45557 (so,)g(are)f(treated.)44 b(Th)m(us)308 3730 y Fq(CALL)52
45558 b(LU2ENT\(1,1,-1,20.\))415 b(!)51 b(fill)i(2)e(jets)i(without)g
45559 (fragmenting)308 3838 y(MSTJ\(1\)=0)1130 b(!)51 b(inhibit)j(jet)e
45560 (fragmentation)308 3947 y(MSTJ\(21\)=0)1079 b(!)51 b(inhibit)j
45561 (particle)f(decay)308 4055 y(MDCY\(LUCOMP\(111\),1\)=0)518
45562 b(!)51 b(inhibit)j(pi0)e(decay)308 4163 y(CALL)g(LUEXEC)1027
45563 b(!)51 b(will)i(not)f(do)g(anything)308 4272 y(MSTJ\(1\)=1)1130
45564 b(!)308 4380 y(CALL)52 b(LUEXEC)1027 b(!)51 b(jets)i(will)f(fragment,)i
45565 (but)e(no)g(decays)308 4488 y(MSTJ\(21\)=2)1079 b(!)308
45566 4597 y(CALL)52 b(LUEXEC)1027 b(!)51 b(particles)j(decay,)f(except)g
45567 (pi0)308 4705 y(CALL)f(LUEXEC)1027 b(!)51 b(nothing)j(new)e(can)g
45568 (happen)308 4813 y(MDCY\(LUCOMP\(111\),1\)=1)518 b(!)308
45569 4922 y(CALL)52 b(LUEXEC)1027 b(!)51 b(pi0:s)i(decay)146
45570 5113 y Fw(A)39 b(partial)e(exception)i(to)f(the)h(rule)g(ab)s(o)m(v)m
45571 (e)g(is)f Fq(LUSHOW)p Fw(.)j(Its)e(main)e(application)f(is)i(for)h(in)m
45572 (ternal)0 5221 y(use)33 b(b)m(y)i Fq(LUEEVT)p Fw(,)f
45573 Fq(LUDECY)p Fw(,)g(and)e Fq(PYEVNT)p Fw(,)i(but)f(it)e(can)h(also)g(b)s
45574 (e)g(directly)g(called)f(b)m(y)i(y)m(ou.)44 b(Note)33
45575 b(that)0 5330 y(a)h(sp)s(ecial)e(format)h(for)g(storing)g(colour-\015o)
45576 m(w)g(information)e(in)i Fq(K\(I,4\))i Fw(and)f Fq(K\(I,5\))i
45577 Fw(m)m(ust)e(then)g(b)s(e)0 5438 y(used.)60 b(F)-8 b(or)37
45578 b(simple)g(cases,)j(the)f Fq(LU2ENT)g Fw(can)f(b)s(e)g(made)g(to)f(tak)
45579 m(e)i(care)f(of)f(that)h(automatically)-8 b(,)36 b(b)m(y)0
45580 5546 y(calling)30 b(with)i(the)h(\014rst)g(argumen)m(t)f(negativ)m(e.)
45581 1817 5953 y(288)p eop
45582 %%Page: 289 295
45583 289 294 bop 308 -18 a Fq(CALL)52 b(LU2ENT\(-1,1,-2,80.\))364
45584 b(!)51 b(store)i(d)f(ubar)g(with)g(colour)h(flow)308
45585 90 y(CALL)f(LUSHOW\(1,2,80.\))568 b(!)51 b(shower)i(partons)308
45586 198 y(CALL)f(LUEXEC)1027 b(!)51 b(subsequent)j(fragmentation/decay)0
45587 382 y Fw(F)-8 b(or)32 b(more)g(complicated)f(con\014gurations,)h
45588 Fq(LUJOIN)i Fw(should)e(b)s(e)h(used.)146 491 y(It)k(is)g(alw)m(a)m(ys)
45589 g(go)s(o)s(d)f(practice)h(to)g(list)e(one)i(or)g(a)g(few)g(ev)m(en)m
45590 (ts)i(during)e(a)f(run)i(to)e(c)m(hec)m(k)j(that)e(the)0
45591 599 y(program)31 b(is)h(w)m(orking)h(as)g(in)m(tended.)44
45592 b(With)308 783 y Fq(CALL)52 b(LULIST\(1\))0 967 y Fw(all)40
45593 b(particles)i(will)e(b)s(e)i(listed)g(and)g(in)g(addition)e(total)h(c)m
45594 (harge,)k(momen)m(tum)c(and)i(energy)g(of)f(sta-)0 1076
45595 y(ble)37 b(en)m(tries)h(will)d(b)s(e)i(giv)m(en.)58 b(F)-8
45596 b(or)36 b(string)h(fragmen)m(tation)e(these)k(quan)m(tities)e(should)g
45597 (b)s(e)g(conserv)m(ed)0 1184 y(exactly)h(\(up)g(to)f(mac)m(hine)g
45598 (precision)f(errors\),)k(and)d(the)h(same)f(go)s(es)h(when)g(running)f
45599 (indep)s(enden)m(t)0 1292 y(fragmen)m(tation)e(with)h(one)h(of)f(the)i
45600 (momen)m(tum)d(conserv)-5 b(ation)36 b(options.)56 b
45601 Fq(LULIST\(1\))39 b Fw(giv)m(es)e(a)f(for-)0 1401 y(mat)29
45602 b(that)g(comfortably)f(\014ts)i(on)f(an)h(80)f(column)f(screen,)k(at)d
45603 (the)h(price)g(of)f(not)g(giving)f(the)i(complete)0 1509
45604 y(story)-8 b(.)66 b(With)40 b Fq(LULIST\(2\))i Fw(a)e(more)f(extensiv)m
45605 (e)j(listing)c(is)h(obtained,)j(and)e Fq(LULIST\(3\))i
45606 Fw(also)d(giv)m(es)0 1617 y(v)m(ertex)e(information.)49
45607 b(F)-8 b(urther)35 b(options)g(are)g(a)m(v)-5 b(ailable,)33
45608 b(lik)m(e)i Fq(LULIST\(12\))p Fw(,)k(whic)m(h)c(giv)m(es)h(a)f(list)f
45609 (of)0 1726 y(particle)d(data.)146 1834 y(An)39 b(ev)m(en)m(t,)k(as)c
45610 (stored)g(in)g(the)g Fq(LUJETS)h Fw(common)e(blo)s(c)m(k,)i(will)d(con)
45611 m(tain)h(the)h(original)d(jets)j(and)0 1942 y(the)c(whole)f(deca)m(y)h
45612 (c)m(hain,)g(i.e.)48 b(also)33 b(particles)g(whic)m(h)i(subsequen)m
45613 (tly)i(deca)m(y)m(ed.)50 b(If)34 b(parton)g(sho)m(w)m(ers)0
45614 2051 y(are)29 b(used,)i(the)f(amoun)m(t)e(of)h(parton)g(information)d
45615 (is)j(also)f(considerable:)41 b(\014rst)30 b(the)f(on-shell)f(partons)0
45616 2159 y(b)s(efore)46 b(sho)m(w)m(ers)i(ha)m(v)m(e)f(b)s(een)f
45617 (considered,)k(then)c(a)f Fq(K\(I,1\)=22)j Fw(line)d(with)g(total)f
45618 (energy)j(of)e(the)0 2267 y(sho)m(w)m(ering)34 b(subsystem,)i(after)e
45619 (that)f(the)h(complete)f(sho)m(w)m(er)j(history)d(tree-lik)m(e)g
45620 (structure,)i(starting)0 2376 y(o\013)25 b(with)g(the)h(same)g(initial)
45621 c(partons)j(\(no)m(w)i(o\013-shell\),)e(and)h(\014nally)e(the)i(end)g
45622 (pro)s(ducts)h(of)e(the)h(sho)m(w)m(er)0 2484 y(rearranged)h(along)f
45623 (the)h(string)f(directions.)41 b(This)28 b(detailed)e(record)h(is)f
45624 (useful)i(in)e(man)m(y)h(connections,)0 2592 y(but)e(if)f(one)i(only)e
45625 (w)m(an)m(ts)j(to)e(retain)f(the)h(\014nal)g(particles,)h(sup)s
45626 (er\015uous)g(information)c(ma)m(y)j(b)s(e)h(remo)m(v)m(ed)0
45627 2701 y(with)32 b Fq(LUEDIT)p Fw(.)i(Th)m(us)h(e.g.)308
45628 2885 y Fq(CALL)52 b(LUEDIT\(2\))0 3069 y Fw(will)30 b(lea)m(v)m(e)j(y)m
45629 (ou)h(with)e(the)h(\014nal)f(c)m(harged)h(and)g(neutral)f(particles,)g
45630 (except)i(for)e(neutrinos.)146 3177 y(The)47 b(information)c(in)j
45631 Fq(LUJETS)h Fw(ma)m(y)f(b)s(e)g(used)h(directly)f(to)g(study)h(an)f(ev)
45632 m(en)m(t.)86 b(Some)45 b(useful)0 3286 y(additional)25
45633 b(quan)m(tities)j(deriv)m(ed)h(from)e(these,)j(suc)m(h)f(as)f(c)m
45634 (harge)h(and)f(rapidit)m(y)-8 b(,)28 b(ma)m(y)g(easily)f(b)s(e)h(found)
45635 0 3394 y(via)36 b(the)h Fq(KLU)h Fw(and)e Fq(PLU)i Fw(functions.)56
45636 b(Th)m(us)38 b(electric)e(c)m(harge)h Fq(=PLU\(I,6\))i
45637 Fw(\(as)e(in)m(teger,)h(three)f(times)0 3502 y(c)m(harge)c
45638 Fq(=KLU\(I,6\))p Fw(\))i(and)e(true)g(rapidit)m(y)e Fj(y)36
45639 b Fw(with)c(resp)s(ect)i(to)e(the)h Fj(z)k Fw(axis)c
45640 Fq(=)51 b(PLU\(I,17\))p Fw(.)146 3611 y(A)36 b(n)m(um)m(b)s(er)h(of)e
45641 (utilit)m(y)f(\()p Fq(MSTU)p Fw(,)j Fq(PARU)p Fw(\))g(and)f(ph)m(ysics)
45642 i(\()p Fq(MSTJ)p Fw(,)f Fq(PARJ)p Fw(\))g(switc)m(hes)g(and)f
45643 (parameters)0 3719 y(are)31 b(a)m(v)-5 b(ailable)29 b(in)i(common)f
45644 (blo)s(c)m(k)h Fq(LUDAT1)p Fw(.)45 b(All)30 b(of)h(these)h(ha)m(v)m(e)h
45645 (sensible)f(default)e(v)-5 b(alues.)43 b(P)m(article)0
45646 3827 y(data)g(is)g(stored)g(in)g(common)f(blo)s(c)m(ks)h
45647 Fq(LUDAT2)p Fw(,)48 b Fq(LUDAT3)c Fw(and)g Fq(LUDAT4)p
45648 Fw(.)76 b(Note)44 b(that)f(the)g(data)g(in)0 3936 y(the)35
45649 b(arra)m(ys)g Fq(KCHG)p Fw(,)h Fq(PMAS)p Fw(,)g Fq(MDCY)g
45650 Fw(and)e Fq(CHAF)i Fw(is)e(not)h(stored)g(b)m(y)h(KF)e(co)s(de,)h(but)g
45651 (b)m(y)h(the)f(compressed)0 4044 y(co)s(de)f(K)m(C.)g(This)f(co)s(de)h
45652 (is)f(not)g(to)g(b)s(e)g(learn)m(t)g(b)m(y)i(heart,)e(but)h(instead)f
45653 (accessed)j(via)d(the)g(con)m(v)m(ersion)0 4152 y(function)f
45654 Fq(LUCOMP)p Fw(,)i Fq(KC)52 b(=)g(LUCOMP\(KF\))p Fw(.)146
45655 4261 y(In)40 b(the)g(particle)f(tables,)i(the)f(follo)m(wing)d
45656 (particles)i(are)g(considered)i(stable:)57 b(the)41 b(photon,)g(e)3693
45657 4225 y Fk(\006)3752 4261 y Fw(,)0 4369 y Fj(\026)59 4333
45658 y Fk(\006)118 4369 y Fw(,)30 b Fj(\031)234 4333 y Fk(\006)293
45659 4369 y Fw(,)f(K)425 4333 y Fk(\006)484 4369 y Fw(,)h(K)617
45660 4333 y Fl(0)617 4394 y(L)665 4369 y Fw(,)g(p,)p 833 4316
45661 55 4 v 30 w(p,)g(n,)p 1055 4316 V 30 w(n)g(and)f(all)e(the)i
45662 (neutrinos.)43 b(It)29 b(is,)g(ho)m(w)m(ev)m(er,)k(alw)m(a)m(ys)c(p)s
45663 (ossible)g(to)g(inhibit)0 4478 y(the)i(deca)m(y)g(of)f(an)m(y)h(giv)m
45664 (en)f(particle)f(b)m(y)i(putting)e(the)i(corresp)s(onding)g
45665 Fq(MDCY)g Fw(v)-5 b(alue)30 b(zero)g(or)g(negativ)m(e,)0
45666 4586 y(e.g.)65 b Fq(MDCY\(LUCOMP\(310\),1\)=0)46 b Fw(mak)m(es)40
45667 b(K)1704 4550 y Fl(0)1704 4610 y(S)1787 4586 y Fw(and)g
45668 Fq(MDCY\(LUCOMP\(3122\),1\)=0)46 b Fw(\003)39 b(stable.)65
45669 b(It)40 b(is)0 4694 y(also)30 b(p)s(ossible)h(to)g(select)g(stabilit)m
45670 (y)f(based)i(on)f(the)h(a)m(v)m(erage)g(lifetime)c(\(see)k
45671 Fq(MSTJ\(22\))p Fw(\),)i(or)c(based)j(on)0 4803 y(whether)j(the)f(deca)
45672 m(y)h(tak)m(es)g(place)e(within)f(a)i(giv)m(en)f(spherical)g(or)g
45673 (cylindrical)f(v)m(olume)g(around)i(the)0 4911 y(origin.)146
45674 5019 y(The)47 b(Field-F)-8 b(eynman)44 b(jet)i(mo)s(del)e([Fie78)o(])i
45675 (is)f(a)m(v)-5 b(ailable)44 b(in)h(the)h(program)f(b)m(y)i(c)m(hanging)
45676 e(the)0 5128 y(follo)m(wing)k(v)-5 b(alues:)82 b Fq(MSTJ\(1\)=2)54
45677 b Fw(\(indep)s(enden)m(t)e(fragmen)m(tation\),)j Fq(MSTJ\(3\)=-1)f
45678 Fw(\(retain)d(parti-)0 5236 y(cles)e(with)f Fj(p)488
45679 5251 y Fh(z)582 5236 y Fj(<)55 b Fw(0;)h(is)48 b(not)g(mandatory\),)k
45680 Fq(MSTJ\(11\)=2)f Fw(\(c)m(hoice)e(of)f(longitudinal)d(fragmen)m(ta-)0
45681 5344 y(tion)38 b(function,)i(with)e(the)h Fj(a)g Fw(parameter)f(stored)
45682 i(in)e Fq(PARJ\(51\))53 b(-)f(PARJ\(53\))p Fw(\),)42
45683 b Fq(MSTJ\(12\)=0)g Fw(\(no)0 5453 y(bary)m(on)29 b(pro)s(duction\),)f
45684 Fq(MSTJ\(13\)=1)i Fw(\(giv)m(e)e(endp)s(oin)m(t)g(quarks)i
45685 Fj(p)2414 5468 y Fk(?)2501 5453 y Fw(as)e(quarks)h(created)g(in)e(the)i
45686 (\014eld\),)0 5561 y Fq(MSTJ\(24\)=0)k Fw(\(no)c(mass)h(broadening)g
45687 (of)f(resonances\),)j Fq(PARJ\(2\)=0.5)h Fw(\(s)p Fj(=)p
45688 Fw(u)d(ratio)f(for)g(the)i(pro)s(duc-)0 5669 y(tion)36
45689 b(of)h(new)i(q)p 578 5616 52 4 v(q)f(pairs\),)g Fq
45690 (PARJ\(11\)=PARJ\(12\)=0.5)43 b Fw(\(probabilit)m(y)35
45691 b(for)i(mesons)h(to)f(ha)m(v)m(e)i(spin)e(1\))1817 5953
45692 y(289)p eop
45693 %%Page: 290 296
45694 290 295 bop 0 -18 a Fw(and)32 b Fq(PARJ\(21\)=0.35)i
45695 Fw(\(width)e(of)f(Gaussian)g(transv)m(erse)i(momen)m(tum)d
45696 (distribution\).)41 b(In)32 b(addition)0 90 y(only)c(d,)h(u)f(and)h(s)f
45697 (single)g(quark)h(jets)g(ma)m(y)f(b)s(e)g(generated)h(follo)m(wing)d
45698 (the)i(FF)g(recip)s(e.)42 b(T)-8 b(o)s(da)m(y)29 b(the)f(FF)0
45699 198 y(`standard)39 b(jet')g(concept)g(is)f(probably)g(dead)h(and)g
45700 (buried,)h(so)e(the)h(n)m(um)m(b)s(ers)h(ab)s(o)m(v)m(e)f(should)f
45701 (more)0 307 y(b)s(e)e(tak)m(en)h(as)f(an)g(example)g(of)f(the)h
45702 (\015exibilit)m(y)f(of)g(the)h(program,)g(than)g(as)g(something)f(to)h
45703 (apply)f(in)0 415 y(practice.)146 523 y(A)g(wide)h(range)f(of)f(indep)s
45704 (enden)m(t)i(fragmen)m(tation)d(options)i(are)g(implemen)m(ted,)f(to)h
45705 (b)s(e)g(accessed)0 632 y(with)30 b(the)h(master)f(switc)m(h)h
45706 Fq(MSTJ\(1\)=2)p Fw(.)45 b(In)31 b(particular,)e(with)h
45707 Fq(MSTJ\(2\)=1)j Fw(a)d(gluon)f(jet)i(is)f(assumed)0
45708 740 y(to)35 b(fragmen)m(t)g(lik)m(e)f(a)h(random)g(d,)p
45709 1280 661 55 4 v 36 w(d,)h(u,)p 1515 687 V 37 w(u,)g(s)g(or)p
45710 1828 687 39 4 v 35 w(s)f(jet,)i(while)d(with)h Fq(MSTJ\(2\)=3)j
45711 Fw(the)e(gluon)e(is)h(split)0 848 y(in)m(to)26 b(a)h(d)p
45712 322 769 55 4 v(d,)h(u)p 485 795 V(u)g(or)e(s)p 718 795
45713 39 4 v(s)i(pair)e(of)g(jets)i(sharing)e(the)h(energy)h(according)f(to)f
45714 (the)i(Altarelli-P)m(arisi)22 b(splitting)0 957 y(function.)43
45715 b(Whereas)32 b(energy)-8 b(,)33 b(momen)m(tum)d(and)h(\015a)m(v)m(our)h
45716 (is)f(not)g(explicitly)f(conserv)m(ed)j(in)e(indep)s(en-)0
45717 1065 y(den)m(t)43 b(fragmen)m(tation,)f(a)g(n)m(um)m(b)s(er)g(of)g
45718 (options)f(are)h(a)m(v)-5 b(ailable)39 b(in)i Fq(MSTJ\(3\))j
45719 Fw(to)d(ensure)j(this)d(`p)s(ost)0 1173 y(facto',)c(e.g.)54
45720 b Fq(MSTJ\(3\)=1)38 b Fw(will)c(b)s(o)s(ost)h(the)h(ev)m(en)m(t)i(to)e
45721 (ensure)h(momen)m(tum)e(conserv)-5 b(ation)36 b(and)g(then)0
45722 1282 y(\(in)c(the)i(c.m.)45 b(frame\))32 b(rescale)i(momen)m(ta)e(b)m
45723 (y)i(a)f(common)f(factor)g(to)h(obtain)f(energy)i(conserv)-5
45724 b(ation,)0 1390 y(whereas)28 b Fq(MSTJ\(3\)=4)h Fw(rather)e(uses)i(a)d
45725 (metho)s(d)g(of)h(stretc)m(hing)g(the)g(jets)h(in)e(longitudinal)d
45726 (momen)m(tum)0 1498 y(along)31 b(the)i(resp)s(ectiv)m(e)h(jet)f(axis)f
45727 (to)g(k)m(eep)j(angles)d(b)s(et)m(w)m(een)i(jets)g(\014xed.)1817
45728 5953 y(290)p eop
45729 %%Page: 291 297
45730 291 296 bop 0 -18 a Ft(15)161 b(Ev)l(en)l(t)52 b(Analysis)j(Routines)0
45731 189 y Fw(T)-8 b(o)38 b(describ)s(e)g(the)h(complicated)d(geometries)h
45732 (encoun)m(tered)j(in)d(m)m(ultihadronic)f(ev)m(en)m(ts,)41
45733 b(a)d(n)m(um)m(b)s(er)0 297 y(of)28 b(ev)m(en)m(t)i(measures)f(ha)m(v)m
45734 (e)h(b)s(een)f(in)m(tro)s(duced.)42 b(These)30 b(measures)g(are)e(in)m
45735 (tended)h(to)f(pro)m(vide)h(a)f(global)0 405 y(view)33
45736 b(of)g(the)g(prop)s(erties)g(of)f(a)h(giv)m(en)g(ev)m(en)m(t,)h
45737 (wherein)g(the)f(full)e(information)f(con)m(ten)m(t)k(of)e(the)i(ev)m
45738 (en)m(t)0 514 y(is)e(condensed)j(in)m(to)d(one)h(or)f(a)h(few)g(n)m(um)
45739 m(b)s(ers.)45 b(A)33 b(steady)h(stream)e(of)g(suc)m(h)j(measures)e(are)
45740 g(prop)s(osed)0 622 y(for)h(di\013eren)m(t)h(purp)s(oses.)52
45741 b(Man)m(y)35 b(are)g(rather)g(sp)s(ecialized)f(or)g(nev)m(er)j(catc)m
45742 (h)e(on,)h(but)f(a)f(few)h(b)s(ecome)0 730 y(standards,)f(and)e(are)h
45743 (useful)g(to)f(ha)m(v)m(e)i(easy)g(access)g(to.)43 b
45744 Fm(Jetset)32 b Fw(therefore)h(con)m(tains)g(a)f(n)m(um)m(b)s(er)h(of)0
45745 839 y(routines)k(that)g(can)g(b)s(e)g(called)f(for)h(an)m(y)g(ev)m(en)m
45746 (t,)k(and)c(that)g(will)d(directly)j(access)i(the)e(ev)m(en)m(t)i
45747 (record)0 947 y(to)32 b(extract)i(the)f(required)g(information.)146
45748 1055 y(In)g(the)f(presen)m(tation)h(b)s(elo)m(w,)f(measures)h(ha)m(v)m
45749 (e)g(b)s(een)g(group)s(ed)f(in)g(three)g(kinds.)44 b(The)33
45750 b(\014rst)g(con-)0 1164 y(tains)22 b(simple)g(ev)m(en)m(t)i(shap)s(e)g
45751 (quan)m(tities,)g(suc)m(h)h(as)e(sphericit)m(y)g(and)g(thrust.)41
45752 b(The)24 b(second)g(is)e(jet)h(\014nding)0 1272 y(algorithms.)40
45753 b(The)30 b(third)f(is)g(a)g(mixed)f(bag)h(of)g(particle)f(m)m
45754 (ultiplicities)d(and)30 b(comp)s(ositions,)e(factorial)0
45755 1380 y(momen)m(ts)k(and)h(energy{energy)h(correlations,)e(put)g
45756 (together)h(in)f(a)g(small)f(statistics)h(pac)m(k)-5
45757 b(age.)146 1489 y(None)49 b(of)e(the)i(measures)g(presen)m(ted)h(here)f
45758 (are)f(Loren)m(tz)h(in)m(v)-5 b(arian)m(t.)89 b(The)49
45759 b(analysis)e(will)f(b)s(e)0 1597 y(p)s(erformed)33 b(in)g(whatev)m(er)i
45760 (frame)e(the)h(ev)m(en)m(t)h(happ)s(ens)g(to)e(b)s(e)h(giv)m(en)g(in.)
45761 45 b(It)34 b(it)e(therefore)j(up)f(to)f(y)m(ou)0 1705
45762 y(to)h(decide)g(whether)h(the)g(frame)e(in)g(whic)m(h)h(ev)m(en)m(ts)i
45763 (w)m(ere)f(generated)g(is)f(the)g(righ)m(t)f(one,)i(or)e(whether)0
45764 1814 y(ev)m(en)m(ts)j(b)s(eforehand)e(should)f(b)s(e)g(b)s(o)s(osted,)h
45765 (e.g.)46 b(to)33 b(the)h(c.m.)46 b(frame.)f(Y)-8 b(ou)33
45766 b(can)h(also)e(decide)i(whic)m(h)0 1922 y(particles)e(y)m(ou)h(w)m(an)m
45767 (t)g(to)g(ha)m(v)m(e)h(a\013ected)f(b)m(y)g(the)g(analysis.)0
45768 2192 y Fp(15.1)136 b(Ev)l(en)l(t)46 b(Shap)t(es)0 2365
45769 y Fw(In)40 b(this)f(section)g(w)m(e)h(study)h(general)d(ev)m(en)m(t)k
45770 (shap)s(e)e(v)-5 b(ariables:)55 b(sphericit)m(y)-8 b(,)41
45771 b(thrust,)h(F)-8 b(o)m(x-W)g(olfram)0 2473 y(momen)m(ts,)52
45772 b(and)d(jet)g(masses.)92 b(These)51 b(measures)e(are)g(implemen)m(ted)e
45773 (in)h(the)h(routines)g Fq(LUSPHE)p Fw(,)0 2582 y Fq(LUTHRU)p
45774 Fw(,)34 b Fq(LUFOWO)g Fw(and)f Fq(LUJMAS)p Fw(,)h(resp)s(ectiv)m(ely)-8
45775 b(.)146 2690 y(Eac)m(h)48 b(ev)m(en)m(t)h(is)d(assumed)i(c)m
45776 (haracterized)g(b)m(y)f(the)h(particle)d(four-momen)m(tum)g(v)m(ectors)
45777 j Fj(p)3623 2705 y Fh(i)3704 2690 y Fw(=)0 2799 y(\()p
45778 Fo(p)100 2814 y Fh(i)128 2799 y Fj(;)17 b(E)244 2814
45779 y Fh(i)272 2799 y Fw(\),)33 b(with)f Fj(i)c Fw(=)g(1)p
45780 Fj(;)17 b Fw(2)p Fj(;)g Fn(\001)g(\001)g(\001)d Fj(;)j(n)32
45781 b Fw(an)g(index)h(running)f(o)m(v)m(er)i(the)f(particles)f(of)g(the)h
45782 (ev)m(en)m(t.)0 3043 y Fo(15.1.1)113 b(Sphericit)m(y)0
45783 3216 y Fw(The)34 b(sphericit)m(y)e(tensor)i(is)e(de\014ned)i(as)f
45784 ([Bjo70)o(])1531 3562 y Fj(S)1597 3521 y Fh(\013\014)1717
45785 3562 y Fw(=)1831 3335 y Fg(X)1879 3518 y Fh(i)1967 3418
45786 y Fj(p)2016 3377 y Fh(\013)2016 3443 y(i)2082 3418 y
45787 Fj(p)2131 3371 y Fh(\014)2131 3441 y(i)p 1831 3539 348
45788 4 v 1844 3557 a Fg(X)1892 3740 y Fh(i)1980 3640 y Fn(j)p
45789 Fo(p)2070 3655 y Fh(i)2098 3640 y Fn(j)2126 3599 y Fl(2)2221
45790 3562 y Fj(;)1309 b Fw(\(215\))0 3902 y(where)33 b Fj(\013)q(;)17
45791 b(\014)33 b Fw(=)28 b(1)p Fj(;)17 b Fw(2)p Fj(;)g Fw(3)31
45792 b(corresp)s(onds)i(to)f(the)h Fj(x)p Fw(,)f Fj(y)k Fw(and)c
45793 Fj(z)37 b Fw(comp)s(onen)m(ts.)44 b(By)32 b(standard)h(diagonaliza-)0
45794 4010 y(tion)k(of)h Fj(S)389 3974 y Fh(\013\014)520 4010
45795 y Fw(one)h(ma)m(y)f(\014nd)h(three)g(eigen)m(v)-5 b(alues)39
45796 b Fj(\025)1946 4025 y Fl(1)2023 4010 y Fn(\025)f Fj(\025)2195
45797 4025 y Fl(2)2272 4010 y Fn(\025)g Fj(\025)2444 4025 y
45798 Fl(3)2483 4010 y Fw(,)i(with)e Fj(\025)2835 4025 y Fl(1)2901
45799 4010 y Fw(+)26 b Fj(\025)3060 4025 y Fl(2)3125 4010 y
45800 Fw(+)g Fj(\025)3284 4025 y Fl(3)3361 4010 y Fw(=)38 b(1.)61
45801 b(The)0 4118 y(sphericit)m(y)33 b(of)f(the)h(ev)m(en)m(t)h(is)f(then)g
45802 (de\014ned)h(as)1524 4354 y Fj(S)g Fw(=)1731 4287 y(3)p
45803 1731 4331 49 4 v 1731 4422 a(2)1807 4354 y(\()p Fj(\025)1902
45804 4369 y Fl(2)1963 4354 y Fw(+)22 b Fj(\025)2118 4369 y
45805 Fl(3)2158 4354 y Fw(\))32 b Fj(;)1302 b Fw(\(216\))0
45806 4586 y(so)33 b(that)g(0)c Fn(\024)g Fj(S)35 b Fn(\024)29
45807 b Fw(1.)45 b(Sphericit)m(y)33 b(is)g(essen)m(tially)g(a)g(measure)g(of)
45808 g(the)g(summed)g Fj(p)3043 4550 y Fl(2)3043 4610 y Fk(?)3136
45809 4586 y Fw(with)f(resp)s(ect)j(to)0 4694 y(the)e(ev)m(en)m(t)h(axis;)f
45810 (a)f(2-jet)g(ev)m(en)m(t)i(corresp)s(onds)g(to)f Fj(S)g
45811 Fn(\031)28 b Fw(0)33 b(and)f(an)h(isotropic)e(ev)m(en)m(t)j(to)f
45812 Fj(S)g Fn(\031)28 b Fw(1.)146 4803 y(The)39 b(aplanarit)m(y)e
45813 Fj(A)p Fw(,)j(with)e(de\014nition)f Fj(A)g Fw(=)1864
45814 4763 y Fl(3)p 1864 4779 36 4 v 1864 4837 a(2)1909 4803
45815 y Fj(\025)1966 4818 y Fl(3)2006 4803 y Fw(,)i(is)f(constrained)g(to)g
45816 (the)h(range)f(0)f Fn(\024)g Fj(A)h Fn(\024)3707 4763
45817 y Fl(1)p 3707 4779 V 3707 4837 a(2)3752 4803 y Fw(.)0
45818 4911 y(It)32 b(measures)i(the)e(transv)m(erse)j(momen)m(tum)c(comp)s
45819 (onen)m(t)h(out)g(of)g(the)h(ev)m(en)m(t)h(plane:)43
45820 b(a)32 b(planar)g(ev)m(en)m(t)0 5019 y(has)h Fj(A)28
45821 b Fn(\031)g Fw(0)k(and)h(an)f(isotropic)g(one)g Fj(A)c
45822 Fn(\031)1577 4980 y Fl(1)p 1577 4996 V 1577 5054 a(2)1623
45823 5019 y Fw(.)146 5128 y(Eigen)m(v)m(ectors)d Fo(v)764
45824 5143 y Fh(j)824 5128 y Fw(can)e(b)s(e)g(found)g(that)g(corresp)s(ond)h
45825 (to)f(the)g(three)h(eigen)m(v)-5 b(alues)23 b Fj(\025)3129
45826 5143 y Fh(j)3188 5128 y Fw(of)g(the)g(spheric-)0 5236
45827 y(it)m(y)36 b(tensor.)57 b(The)37 b Fo(v)757 5251 y Fl(1)833
45828 5236 y Fw(one)g(is)f(called)g(the)h(sphericit)m(y)g(axis)f(\(or)g(ev)m
45829 (en)m(t)j(axis,)e(if)f(it)f(is)i(clear)f(from)f(the)0
45830 5344 y(con)m(text)e(that)e(sphericit)m(y)h(has)g(b)s(een)h(used\),)g
45831 (while)e(the)h(sphericit)m(y)g(ev)m(en)m(t)h(plane)e(is)g(spanned)i(b)m
45832 (y)g Fo(v)3740 5359 y Fl(1)0 5453 y Fw(and)g Fo(v)249
45833 5468 y Fl(2)288 5453 y Fw(.)146 5561 y(The)27 b(sphericit)m(y)e(tensor)
45834 h(is)f(quadratic)g(in)g(particle)f(momen)m(ta.)39 b(This)26
45835 b(means)f(that)g(the)h(sphericit)m(y)0 5669 y(v)-5 b(alue)30
45836 b(is)g(c)m(hanged)h(if)e(one)i(particle)e(is)h(split)f(up)h(in)m(to)g
45837 (t)m(w)m(o)h(collinear)d(ones)j(whic)m(h)g(share)g(the)g(original)1817
45838 5953 y(291)p eop
45839 %%Page: 292 298
45840 292 297 bop 0 -18 a Fw(momen)m(tum.)41 b(Th)m(us)29 b(sphericit)m(y)g
45841 (is)e(not)h(an)h(infrared)e(safe)h(quan)m(tit)m(y)h(in)f(QCD)g(p)s
45842 (erturbation)f(theory)-8 b(.)0 90 y(A)33 b(useful)f(generalization)f
45843 (of)h(the)h(sphericit)m(y)g(tensor)g(is)1342 455 y Fj(S)1408
45844 413 y Fl(\()p Fh(r)r Fl(\))p Fh(\013\014)1616 455 y Fw(=)1730
45845 227 y Fg(X)1778 410 y Fh(i)1866 311 y Fn(j)p Fo(p)1956
45846 326 y Fh(i)1985 311 y Fn(j)2013 269 y Fh(r)r Fk(\000)p
45847 Fl(2)2157 311 y Fj(p)2206 269 y Fh(\013)2206 335 y(i)2272
45848 311 y Fj(p)2321 263 y Fh(\014)2321 333 y(i)p 1730 431
45849 639 4 v 1889 450 a Fg(X)1937 632 y Fh(i)2025 533 y Fn(j)p
45850 Fo(p)2115 548 y Fh(i)2144 533 y Fn(j)2172 492 y Fh(r)2411
45851 455 y Fj(;)1119 b Fw(\(217\))0 817 y(where)41 b Fj(r)i
45852 Fw(is)c(the)i(p)s(o)m(w)m(er)g(of)e(the)h(momen)m(tum)f(dep)s(endence.)
45853 68 b(While)39 b Fj(r)k Fw(=)d(2)g(th)m(us)h(corresp)s(onds)g(to)0
45854 926 y(sphericit)m(y)-8 b(,)28 b Fj(r)j Fw(=)c(1)f(corresp)s(onds)i(to)f
45855 (linear)e(measures)i(calculable)e(in)h(p)s(erturbation)g(theory)h([P)m
45856 (ar78]:)1476 1363 y Fj(S)1542 1322 y Fl(\(1\))p Fh(\013\014)1752
45857 1363 y Fw(=)1866 1136 y Fg(X)1914 1318 y Fh(i)2012 1152
45858 y Fj(p)2061 1111 y Fh(\013)2061 1176 y(i)2128 1152 y
45859 Fj(p)2177 1105 y Fh(\014)2177 1175 y(i)p 2012 1196 212
45860 4 v 2045 1288 a Fn(j)p Fo(p)2135 1303 y Fh(i)2163 1288
45861 y Fn(j)p 1866 1340 368 4 v 1909 1358 a Fg(X)1957 1541
45862 y Fh(i)2045 1441 y Fn(j)p Fo(p)2135 1456 y Fh(i)2163
45863 1441 y Fn(j)2276 1363 y Fj(:)1254 b Fw(\(218\))146 1726
45864 y(Eigen)m(v)-5 b(alues)47 b(and)f(eigen)m(v)m(ectors)i(ma)m(y)e(b)s(e)g
45865 (de\014ned)i(exactly)e(as)h(b)s(efore,)i(and)e(therefore)f(also)0
45866 1834 y(equiv)-5 b(alen)m(ts)39 b(of)g Fj(S)45 b Fw(and)39
45867 b Fj(A)p Fw(.)64 b(These)41 b(ha)m(v)m(e)f(no)f(standard)h(names;)j(I)c
45868 (tend)h(to)f(call)e(them)i(linearized)0 1943 y(sphericit)m(y)25
45869 b Fj(S)497 1958 y Fl(lin)603 1943 y Fw(and)g(linearized)d(aplanarit)m
45870 (y)h Fj(A)1746 1958 y Fl(lin)1829 1943 y Fw(.)40 b(Quan)m(tities)24
45871 b(that)g(are)g(standard)h(in)e(the)i(literature)0 2051
45872 y(are)33 b(instead)f(the)h(com)m(binations)e([Ell81)n(])1224
45873 2259 y Fj(C)90 b Fw(=)83 b(3\()p Fj(\025)1687 2274 y
45874 Fl(1)1726 2259 y Fj(\025)1783 2274 y Fl(2)1845 2259 y
45875 Fw(+)22 b Fj(\025)2000 2274 y Fl(1)2039 2259 y Fj(\025)2096
45876 2274 y Fl(3)2157 2259 y Fw(+)g Fj(\025)2312 2274 y Fl(2)2352
45877 2259 y Fj(\025)2409 2274 y Fl(3)2448 2259 y Fw(\))32
45878 b Fj(;)1012 b Fw(\(219\))1217 2392 y Fj(D)86 b Fw(=)d(27)p
45879 Fj(\025)1698 2407 y Fl(1)1737 2392 y Fj(\025)1794 2407
45880 y Fl(2)1833 2392 y Fj(\025)1890 2407 y Fl(3)1962 2392
45881 y Fj(:)1568 b Fw(\(220\))0 2600 y(Eac)m(h)35 b(of)e(these)i(is)e
45882 (constrained)h(to)g(b)s(e)g(in)f(the)h(range)g(b)s(et)m(w)m(een)h(0)f
45883 (and)g(1.)47 b(T)m(ypically)-8 b(,)33 b Fj(C)41 b Fw(is)33
45884 b(used)i(to)0 2709 y(measure)h(the)h(3-jet)f(structure)h(and)f
45885 Fj(D)j Fw(the)e(4-jet)e(one,)j(since)e Fj(C)43 b Fw(is)36
45886 b(v)-5 b(anishing)35 b(for)h(a)f(p)s(erfect)i(2-jet)0
45887 2817 y(ev)m(en)m(t)44 b(and)f Fj(D)h Fw(is)e(v)-5 b(anishing)41
45888 b(for)h(a)g(planar)f(ev)m(en)m(t.)75 b(The)43 b Fj(C)49
45889 b Fw(measure)43 b(is)f(related)g(to)f(the)i(second)0
45890 2925 y(F)-8 b(o)m(w-W)g(olfram)30 b(momen)m(t)i(\(see)h(b)s(elo)m(w\),)
45891 g Fj(C)h Fw(=)28 b(1)22 b Fn(\000)g Fj(H)1976 2940 y
45892 Fl(2)2016 2925 y Fw(.)146 3034 y(Nonin)m(teger)38 b Fj(r)i
45893 Fw(v)-5 b(alues)37 b(ma)m(y)g(also)f(b)s(e)i(used,)h(and)f(corresp)s
45894 (onding)f(generalized)g(sphericit)m(y)g(and)0 3142 y(aplanarit)m(y)22
45895 b(measures)i(calculated.)39 b(While)22 b(p)s(erturbativ)m(e)i(argumen)m
45896 (ts)f(fa)m(v)m(our)h Fj(r)31 b Fw(=)c(1,)e(w)m(e)f(kno)m(w)h(that)0
45897 3250 y(the)h(fragmen)m(tation)e(`noise',)j(e.g.)41 b(from)25
45898 b(transv)m(erse)j(momen)m(tum)c(\015uctuations,)j(is)e(prop)s
45899 (ortionately)0 3359 y(larger)31 b(for)g(lo)m(w)g(momen)m(tum)g
45900 (particles,)g(and)h(so)g Fj(r)e(>)e Fw(1)j(should)h(b)s(e)g(b)s(etter)g
45901 (for)g(exp)s(erimen)m(tal)f(ev)m(en)m(t)0 3467 y(axis)42
45902 b(determinations.)70 b(The)43 b(use)g(of)f(to)s(o)f(large)g(an)h
45903 Fj(r)j Fw(v)-5 b(alue,)44 b(on)e(the)g(other)g(hand,)j(puts)e(all)d
45904 (the)0 3575 y(emphasis)29 b(on)f(a)h(few)g(high-momen)m(tum)d
45905 (particles,)j(and)g(therefore)h(in)m(v)m(olv)m(es)f(a)g(loss)f(of)h
45906 (information.)0 3684 y(It)d(should)f(then)h(come)f(as)h(no)f(surprise)h
45907 (that)g(in)m(termediate)e Fj(r)k Fw(v)-5 b(alues,)27
45908 b(of)e(around)g(1.5,)i(giv)m(es)f(the)g(b)s(est)0 3792
45909 y(p)s(erformance)d(for)f(ev)m(en)m(t)j(axis)e(determinations)e(in)h
45910 (2-jet)h(ev)m(en)m(ts,)k(where)d(the)g(theoretical)d(meaning)h(of)0
45911 3900 y(the)29 b(ev)m(en)m(t)h(axis)e(is)g(w)m(ell-de\014ned.)42
45912 b(The)29 b(gain)e(in)h(accuracy)h(compared)f(with)g(the)h(more)e(con)m
45913 (v)m(en)m(tional)0 4009 y(c)m(hoices)33 b Fj(r)e Fw(=)c(2)33
45914 b(or)f Fj(r)e Fw(=)e(1)k(is)g(rather)h(mo)s(dest,)f(ho)m(w)m(ev)m(er.)0
45915 4256 y Fo(15.1.2)113 b(Thrust)0 4429 y Fw(The)34 b(quan)m(tit)m(y)f
45916 (thrust)g Fj(T)46 b Fw(is)32 b(de\014ned)i(b)m(y)g([Bra64)o(])1433
45917 4797 y Fj(T)42 b Fw(=)27 b(max)1639 4861 y Fk(j)p Fa(n)p
45918 Fk(j)p Fl(=1)1860 4570 y Fg(X)1908 4753 y Fh(i)1997 4653
45919 y Fn(j)p Fo(n)22 b Fn(\001)f Fo(p)2220 4668 y Fh(i)2249
45920 4653 y Fn(j)p 1860 4774 417 4 v 1927 4792 a Fg(X)1975
45921 4975 y Fh(i)2064 4875 y Fn(j)p Fo(p)2154 4890 y Fh(i)2182
45922 4875 y Fn(j)2319 4797 y Fj(;)1211 b Fw(\(221\))0 5160
45923 y(and)43 b(the)g(thrust)g(axis)g Fo(v)949 5175 y Fl(1)1031
45924 5160 y Fw(is)g(giv)m(en)f(b)m(y)i(the)f Fo(n)g Fw(v)m(ector)h(for)e
45925 (whic)m(h)i(maxim)m(um)c(is)i(attained.)74 b(The)0 5268
45926 y(allo)m(w)m(ed)30 b(range)g(is)g(1)p Fj(=)p Fw(2)d Fn(\024)h
45927 Fj(T)42 b Fn(\024)28 b Fw(1,)j(with)f(a)g(2-jet)g(ev)m(en)m(t)i
45928 (corresp)s(onding)e(to)g Fj(T)42 b Fn(\031)28 b Fw(1)i(and)h(an)f
45929 (isotropic)0 5377 y(ev)m(en)m(t)k(to)f Fj(T)41 b Fn(\031)28
45930 b Fw(1)p Fj(=)p Fw(2.)146 5485 y(In)39 b(passing,)h(w)m(e)g(note)f
45931 (that)f(this)g(is)g(not)h(the)g(only)f(de\014nition)f(found)i(in)f(the)
45932 h(literature.)60 b(The)0 5593 y(de\014nitions)28 b(agree)g(for)g(ev)m
45933 (en)m(ts)j(studied)d(in)g(the)h(c.m.)41 b(frame)28 b(and)g(where)i(all)
45934 c(particles)h(are)i(detected.)1817 5953 y(292)p eop
45935 %%Page: 293 299
45936 293 298 bop 0 -18 a Fw(Ho)m(w)m(ev)m(er,)35 b(a)d(de\014nition)g(lik)m
45937 (e)885 398 y Fj(T)41 b Fw(=)28 b(2)33 b(max)1172 462
45938 y Fk(j)p Fa(n)p Fk(j)p Fl(=1)1394 105 y Fg(\014)1394
45939 154 y(\014)1394 204 y(\014)1394 254 y(\014)1394 304 y(\014)1421
45940 171 y(X)1469 353 y Fh(i)1558 254 y Fj(\022)s Fw(\()p
45941 Fo(n)22 b Fn(\001)g Fo(p)1840 269 y Fh(i)1869 254 y Fw(\))17
45942 b Fo(p)1986 269 y Fh(i)2014 105 y Fg(\014)2014 154 y(\014)2014
45943 204 y(\014)2014 254 y(\014)2014 304 y(\014)p 1394 375
45944 648 4 v 1576 393 a(X)1624 575 y Fh(i)1713 476 y Fn(j)p
45945 Fo(p)1803 491 y Fh(i)1831 476 y Fn(j)2079 398 y Fw(=)27
45946 b(2)45 b(max)2264 458 y Fh(\022)2297 468 y Fe(i)2324
45947 458 y Fl(=0)p Fh(;)p Fl(1)2512 105 y Fg(\014)2512 154
45948 y(\014)2512 204 y(\014)2512 254 y(\014)2512 304 y(\014)2540
45949 171 y(X)2588 353 y Fh(i)2676 254 y Fj(\022)2721 269 y
45950 Fh(i)2766 254 y Fo(p)2828 269 y Fh(i)2857 105 y Fg(\014)2857
45951 154 y(\014)2857 204 y(\014)2857 254 y(\014)2857 304 y(\014)p
45952 2512 375 373 4 v 2557 393 a(X)2605 575 y Fh(i)2694 476
45953 y Fn(j)p Fo(p)2784 491 y Fh(i)2812 476 y Fn(j)3557 398
45954 y Fw(\(222\))0 762 y(\(where)37 b Fj(\022)s Fw(\()p Fj(x)p
45955 Fw(\))f(is)f(the)h(step)h(function,)f Fj(\022)s Fw(\()p
45956 Fj(x)p Fw(\))d(=)g(1)j(if)e Fj(x)f(>)g Fw(0,)k(else)e
45957 Fj(\022)s Fw(\()p Fj(x)p Fw(\))f(=)f(0\))i(giv)m(es)h(di\013eren)m(t)g
45958 (results)0 871 y(than)d(the)h(one)g(ab)s(o)m(v)m(e)g(if)e(e.g.)46
45959 b(only)33 b(c)m(harged)h(particles)e(are)i(detected.)47
45960 b(It)33 b(w)m(ould)h(ev)m(en)h(b)s(e)e(p)s(ossible)0
45961 979 y(to)g(ha)m(v)m(e)j Fj(T)43 b(>)30 b Fw(1;)k(to)g(a)m(v)m(oid)f
45962 (suc)m(h)j(problems,)d(often)h(an)g(extra)g(\014ctitious)f(particle)f
45963 (is)i(in)m(tro)s(duced)g(to)0 1087 y(balance)e(the)h(total)e(momen)m
45964 (tum)g([Bra79].)146 1196 y(Eq.)j(\(221\))e(ma)m(y)g(b)s(e)h(rewritten)f
45965 (as)1449 1618 y Fj(T)42 b Fw(=)36 b(max)1651 1674 y Fh(\017)1680
45966 1684 y Fe(i)1706 1674 y Fl(=)p Fk(\006)p Fl(1)1894 1324
45967 y Fg(\014)1894 1374 y(\014)1894 1424 y(\014)1894 1474
45968 y(\014)1894 1523 y(\014)1922 1391 y(X)1970 1573 y Fh(i)2058
45969 1474 y Fj(\017)2097 1489 y Fh(i)2143 1474 y Fo(p)2205
45970 1489 y Fh(i)2233 1324 y Fg(\014)2233 1374 y(\014)2233
45971 1424 y(\014)2233 1474 y(\014)2233 1523 y(\014)p 1894
45972 1594 367 4 v 1936 1613 a(X)1984 1795 y Fh(i)2073 1696
45973 y Fn(j)p Fo(p)2163 1711 y Fh(i)2191 1696 y Fn(j)2303
45974 1618 y Fj(:)1227 b Fw(\(223\))0 1982 y(\(This)33 b(ma)m(y)f(also)g(b)s
45975 (e)g(view)m(ed)i(as)f(applying)e(eq.)j(\(222\))e(to)g(an)g(ev)m(en)m(t)
45976 j(with)d(2)p Fj(n)g Fw(particles,)g Fj(n)h Fw(carrying)0
45977 2090 y(the)e(momen)m(ta)f Fo(p)652 2105 y Fh(i)711 2090
45978 y Fw(and)h Fj(n)h Fw(the)f(momen)m(ta)f Fn(\000)p Fo(p)1718
45979 2105 y Fh(i)1747 2090 y Fw(,)h(th)m(us)h(automatically)27
45980 b(balancing)j(the)h(momen)m(tum.\))0 2198 y(T)-8 b(o)38
45981 b(\014nd)g(the)g(thrust)g(v)-5 b(alue)37 b(and)g(axis)h(this)f(w)m(a)m
45982 (y)-8 b(,)40 b(2)1942 2162 y Fh(n)p Fk(\000)p Fl(1)2116
45983 2198 y Fw(di\013eren)m(t)e(p)s(ossibilities)d(w)m(ould)i(ha)m(v)m(e)i
45984 (to)e(b)s(e)0 2307 y(tested.)44 b(The)32 b(reduction)f(b)m(y)h(a)f
45985 (factor)f(of)h(2)f(comes)i(from)d Fj(T)45 b Fw(b)s(eing)30
45986 b(unc)m(hanged)j(when)f(all)d Fj(\017)3424 2322 y Fh(i)3480
45987 2307 y Fn(!)e(\000)p Fj(\017)3723 2322 y Fh(i)3752 2307
45988 y Fw(.)0 2415 y(Therefore)37 b(this)e(approac)m(h)h(rapidly)f(b)s
45989 (ecomes)h(prohibitiv)m(e.)51 b(Other)36 b(exact)h(metho)s(ds)e(exist,)i
45990 (whic)m(h)0 2523 y(`only')32 b(require)h(ab)s(out)f(4)p
45991 Fj(n)982 2487 y Fl(2)1054 2523 y Fw(com)m(binations)f(to)h(b)s(e)h
45992 (tried.)146 2632 y(In)39 b(the)f(implemen)m(tation)d(in)i
45993 Fm(Jetset)p Fw(,)i(a)e(faster)i(alternativ)m(e)e(metho)s(d)g(is)h
45994 (used,)i(in)e(whic)m(h)g(the)0 2740 y(thrust)33 b(axis)g(is)f(iterated)
45995 g(from)f(a)h(starting)g(direction)f Fo(n)2096 2704 y
45996 Fl(\(0\))2224 2740 y Fw(according)h(to)1327 3099 y Fo(n)1389
45997 3058 y Fl(\()p Fh(j)t Fl(+1\))1599 3099 y Fw(=)1740 2872
45998 y Fg(X)1788 3054 y Fh(i)1876 2955 y Fj(\017)p Fw(\()p
45999 Fo(n)2015 2913 y Fl(\()p Fh(j)t Fl(\))2130 2955 y Fn(\001)21
46000 b Fo(p)2241 2970 y Fh(i)2270 2955 y Fw(\))c Fo(p)2387
46001 2970 y Fh(i)p 1712 3075 731 4 v 1712 3085 a Fg(\014)1712
46002 3135 y(\014)1712 3185 y(\014)1712 3235 y(\014)1712 3285
46003 y(\014)1740 3152 y(X)1788 3334 y Fh(i)1876 3235 y Fj(\017)p
46004 Fw(\()p Fo(n)2015 3194 y Fl(\()p Fh(j)t Fl(\))2130 3235
46005 y Fn(\001)k Fo(p)2241 3250 y Fh(i)2270 3235 y Fw(\))c
46006 Fo(p)2387 3250 y Fh(i)2415 3085 y Fg(\014)2415 3135 y(\014)2415
46007 3185 y(\014)2415 3235 y(\014)2415 3285 y(\014)3557 3099
46008 y Fw(\(224\))0 3521 y(\(where)36 b Fj(\017)p Fw(\()p
46009 Fj(x)p Fw(\))c(=)f(1)j(for)h Fj(x)c(>)g Fw(0)k(and)g
46010 Fj(\017)p Fw(\()p Fj(x)p Fw(\))d(=)f Fn(\000)p Fw(1)k(for)f
46011 Fj(x)e(<)f Fw(0\).)49 b(It)35 b(is)f(easy)i(to)e(sho)m(w)i(that)f(the)g
46012 (related)0 3640 y(thrust)j(v)-5 b(alue)37 b(will)e(nev)m(er)k
46013 (decrease,)h Fj(T)1498 3604 y Fl(\()p Fh(j)t Fl(+1\))1716
46014 3640 y Fn(\025)c Fj(T)1900 3604 y Fl(\()p Fh(j)t Fl(\))1991
46015 3640 y Fw(.)58 b(In)38 b(fact,)h(the)e(metho)s(d)g(normally)e(con)m(v)m
46016 (erges)0 3748 y(in)30 b(2{4)h(iterations.)41 b(Unfortunately)-8
46017 b(,)31 b(this)g(con)m(v)m(ergence)j(need)e(not)f(b)s(e)g(to)m(w)m(ards)
46018 i(the)e(correct)h(thrust)0 3857 y(axis)d(but)g(is)f(o)s(ccasionally)f
46019 (only)h(to)m(w)m(ards)i(a)e(lo)s(cal)f(maxim)m(um)f(of)i(the)i(thrust)f
46020 (function)f([Bra79].)42 b(W)-8 b(e)0 3965 y(kno)m(w)39
46021 b(of)f(no)g(fo)s(olpro)s(of)d(w)m(a)m(y)k(around)f(this)g
46022 (complication,)e(but)i(the)h(danger)f(of)g(an)g(error)f(ma)m(y)h(b)s(e)
46023 0 4073 y(lo)m(w)m(ered)33 b(if)e(sev)m(eral)i(di\013eren)m(t)f
46024 (starting)f(axes)i Fo(n)1784 4037 y Fl(\(0\))1911 4073
46025 y Fw(are)f(tried)f(and)i(found)f(to)f(agree.)44 b(These)34
46026 b Fo(n)3523 4037 y Fl(\(0\))3649 4073 y Fw(are)0 4182
46027 y(suitably)c(constructed)j(from)d(the)h Fj(n)1348 4146
46028 y Fk(0)1403 4182 y Fw(\(b)m(y)g(default)g(4\))f(particles)h(with)f(the)
46029 i(largest)e(momen)m(ta)g(in)g(the)0 4302 y(ev)m(en)m(t,)j(and)d(the)h
46030 (2)685 4266 y Fh(n)728 4243 y Fd(0)750 4266 y Fk(\000)p
46031 Fl(1)874 4302 y Fw(starting)e(directions)1678 4236 y
46032 Fg(P)1766 4323 y Fh(i)1810 4302 y Fj(\017)1849 4317 y
46033 Fh(i)1894 4302 y Fo(p)1956 4317 y Fh(i)2015 4302 y Fw(constructed)j
46034 (from)d(these)i(are)g(tried)e(in)h(falling)0 4411 y(order)38
46035 b(of)f(the)h(corresp)s(onding)f(absolute)h(momen)m(tum)e(v)-5
46036 b(alues.)58 b(When)39 b(a)e(predetermined)h(n)m(um)m(b)s(er)0
46037 4519 y(of)33 b(the)h(starting)f(axes)h(ha)m(v)m(e)h(giv)m(en)f(con)m(v)
46038 m(ergence)i(to)m(w)m(ards)f(the)f(same)f(\(b)s(est\))h(thrust)h(axis)e
46039 (this)g(one)0 4627 y(is)f(accepted.)146 4736 y(In)37
46040 b(the)g(plane)f(p)s(erp)s(endicular)g(to)g(the)h(thrust)g(axis,)h(a)e
46041 (ma)5 b(jor)35 b([MAR79])i(axis)f(and)h(v)-5 b(alue)36
46042 b(ma)m(y)0 4844 y(b)s(e)d(de\014ned)h(in)e(just)h(the)g(same)f(fashion)
46043 g(as)h(thrust,)g(i.e.)1272 5202 y Fj(M)1366 5217 y Fh(a)1436
46044 5202 y Fw(=)156 b(max)1540 5266 y Fk(j)p Fa(n)p Fk(j)p
46045 Fl(=1)p Fh(;)10 b Fa(n)p Fk(\001)p Fa(v)1853 5275 y Ff(1)1888
46046 5266 y Fl(=0)2021 4975 y Fg(X)2069 5158 y Fh(i)2158 5058
46047 y Fn(j)p Fo(n)22 b Fn(\001)g Fo(p)2382 5073 y Fh(i)2410
46048 5058 y Fn(j)p 2021 5179 417 4 v 2088 5197 a Fg(X)2136
46049 5380 y Fh(i)2225 5280 y Fn(j)p Fo(p)2315 5295 y Fh(i)2343
46050 5280 y Fn(j)2480 5202 y Fj(:)1050 b Fw(\(225\))0 5561
46051 y(In)38 b(a)f(plane)g(more)g(e\016cien)m(t)h(metho)s(ds)f(can)h(b)s(e)g
46052 (used)g(to)f(\014nd)h(an)g(axis)f(than)h(in)e(three)i(dimensions)0
46053 5669 y([W)-8 b(u79],)40 b(but)e(for)g(simplicit)m(y)d(w)m(e)k(use)g
46054 (the)g(same)f(metho)s(d)f(as)i(ab)s(o)m(v)m(e.)61 b(Finally)-8
46055 b(,)36 b(a)i(third)g(axis,)h(the)1817 5953 y(293)p eop
46056 %%Page: 294 300
46057 294 299 bop 0 -18 a Fw(minor)30 b(axis,)j(is)e(de\014ned)j(p)s(erp)s
46058 (endicular)d(to)h(the)h(thrust)f(and)h(ma)5 b(jor)31
46059 b(ones,)i(and)f(a)g(minor)e(v)-5 b(alue)32 b Fj(M)3751
46060 -3 y Fh(i)0 90 y Fw(is)f(calculated)g(just)i(as)f(thrust)g(and)g(ma)5
46061 b(jor.)43 b(The)33 b(di\013erence)f(b)s(et)m(w)m(een)i(ma)5
46062 b(jor)31 b(and)h(minor)e(is)i(called)0 198 y(oblateness,)h
46063 Fj(O)e Fw(=)d Fj(M)798 213 y Fh(a)862 198 y Fn(\000)23
46064 b Fj(M)1056 213 y Fh(i)1084 198 y Fw(.)44 b(The)34 b(upp)s(er)f(limit)c
46065 (on)k(oblateness)g(dep)s(ends)i(on)d(the)i(thrust)f(v)-5
46066 b(alue)32 b(in)0 307 y(a)j(not)h(so)g(simple)e(w)m(a)m(y)-8
46067 b(.)54 b(In)36 b(general)f Fj(O)g Fn(\031)f Fw(0)h(corresp)s(onds)i(to)
46068 e(an)h(ev)m(en)m(t)i(symmetrical)33 b(around)j(the)0
46069 415 y(thrust)d(axis)g(and)f(high)g Fj(O)j Fw(to)d(a)g(planar)g(ev)m(en)
46070 m(t.)146 523 y(As)f(in)f(the)h(case)g(of)f(sphericit)m(y)-8
46071 b(,)31 b(a)f(generalization)e(to)i(arbitrary)f(momen)m(tum)g(dep)s
46072 (endence)k(ma)m(y)0 632 y(easily)42 b(b)s(e)g(obtained,)i(here)f(b)m(y)
46073 h(replacing)d(the)i Fo(p)1895 647 y Fh(i)1965 632 y Fw(in)f(the)h(form)
46074 m(ulae)d(ab)s(o)m(v)m(e)j(b)m(y)h Fn(j)p Fo(p)3199 647
46075 y Fh(i)3227 632 y Fn(j)3255 595 y Fh(r)r Fk(\000)p Fl(1)3399
46076 632 y Fo(p)3461 647 y Fh(i)3490 632 y Fw(.)72 b(This)0
46077 740 y(p)s(ossibilit)m(y)30 b(is)j(included,)f(although)f(so)i(far)f(it)
46078 g(has)h(not)f(found)h(an)m(y)g(exp)s(erimen)m(tal)f(use.)0
46079 988 y Fo(15.1.3)113 b(F)-9 b(o)m(x-W)g(olfram)36 b(momen)m(ts)0
46080 1160 y Fw(The)e(F)-8 b(o)m(x-W)g(olfram)29 b(momen)m(ts)k
46081 Fj(H)1281 1175 y Fh(l)1306 1160 y Fw(,)g Fj(l)d Fw(=)d(0)p
46082 Fj(;)17 b Fw(1)p Fj(;)g Fw(2)p Fj(;)g(:)g(:)g(:)n Fw(,)33
46083 b(are)g(de\014ned)h(b)m(y)f([F)-8 b(o)m(x79])1287 1435
46084 y Fj(H)1368 1450 y Fh(l)1422 1435 y Fw(=)1525 1352 y
46085 Fg(X)1547 1535 y Fh(i;j)1672 1368 y Fn(j)p Fo(p)1762
46086 1383 y Fh(i)1790 1368 y Fn(j)17 b(j)p Fo(p)1925 1383
46087 y Fh(j)1961 1368 y Fn(j)p 1672 1412 317 4 v 1749 1504
46088 a Fj(E)1827 1469 y Fl(2)1821 1527 y(vis)2015 1435 y Fj(P)2078
46089 1450 y Fh(l)2104 1435 y Fw(\(cos)g Fj(\022)2334 1450
46090 y Fh(ij)2395 1435 y Fw(\))32 b Fj(;)1065 b Fw(\(226\))0
46091 1733 y(where)36 b Fj(\022)329 1748 y Fh(ij)424 1733 y
46092 Fw(is)e(the)g(op)s(ening)g(angle)g(b)s(et)m(w)m(een)i(hadrons)f
46093 Fj(i)f Fw(and)h Fj(j)40 b Fw(and)34 b Fj(E)2669 1748
46094 y Fl(vis)2793 1733 y Fw(the)h(total)d(visible)h(energy)0
46095 1841 y(of)42 b(the)h(ev)m(en)m(t.)74 b(Note)43 b(that)f(also)f(auto)s
46096 (correlations,)i Fj(i)i Fw(=)f Fj(j)6 b Fw(,)45 b(are)d(included.)73
46097 b(The)43 b Fj(P)3272 1856 y Fh(l)3298 1841 y Fw(\()p
46098 Fj(x)p Fw(\))g(are)f(the)0 1950 y(Legendre)34 b(p)s(olynomials,)1204
46099 2158 y Fj(P)1267 2173 y Fl(0)1306 2158 y Fw(\()p Fj(x)p
46100 Fw(\))83 b(=)g(1)33 b Fj(;)1204 2291 y(P)1267 2306 y
46101 Fl(1)1306 2291 y Fw(\()p Fj(x)p Fw(\))83 b(=)g Fj(x)33
46102 b(;)1204 2481 y(P)1267 2496 y Fl(2)1306 2481 y Fw(\()p
46103 Fj(x)p Fw(\))83 b(=)1689 2413 y(1)p 1689 2457 49 4 v
46104 1689 2549 a(2)1765 2481 y(\(3)p Fj(x)1907 2439 y Fl(2)1968
46105 2481 y Fn(\000)23 b Fw(1\))32 b Fj(;)1204 2714 y(P)1267
46106 2729 y Fl(3)1306 2714 y Fw(\()p Fj(x)p Fw(\))83 b(=)1689
46107 2646 y(1)p 1689 2690 V 1689 2782 a(2)1765 2714 y(\(5)p
46108 Fj(x)1907 2673 y Fl(3)1968 2714 y Fn(\000)23 b Fw(3)p
46109 Fj(x)p Fw(\))33 b Fj(;)1204 2947 y(P)1267 2962 y Fl(4)1306
46110 2947 y Fw(\()p Fj(x)p Fw(\))83 b(=)1689 2879 y(1)p 1689
46111 2924 V 1689 3015 a(8)1765 2947 y(\(35)p Fj(x)1956 2906
46112 y Fl(4)2017 2947 y Fn(\000)23 b Fw(30)p Fj(x)2270 2906
46113 y Fl(2)2331 2947 y Fw(+)f(3\))33 b Fj(:)981 b Fw(\(227\))0
46114 3192 y(T)-8 b(o)25 b(the)h(exten)m(t)h(that)e(particle)f(masses)i(ma)m
46115 (y)f(b)s(e)g(neglected,)i Fj(H)2310 3207 y Fl(0)2377
46116 3192 y Fn(\021)i Fw(1.)40 b(It)26 b(is)e(customary)i(to)f(normalize)0
46117 3301 y(the)32 b(results)h(to)f Fj(H)677 3316 y Fl(0)716
46118 3301 y Fw(,)g(i.e.)43 b(to)32 b(giv)m(e)g Fj(H)1343 3316
46119 y Fh(l)q Fl(0)1431 3301 y Fw(=)c Fj(H)1616 3316 y Fh(l)1642
46120 3301 y Fj(=H)1772 3316 y Fl(0)1811 3301 y Fw(.)43 b(If)32
46121 b(momen)m(tum)f(is)g(balanced)h(then)h Fj(H)3296 3316
46122 y Fl(1)3363 3301 y Fn(\021)28 b Fw(0.)43 b(2-jet)0 3409
46123 y(ev)m(en)m(ts)35 b(tend)e(to)f(giv)m(e)h Fj(H)919 3424
46124 y Fh(l)972 3409 y Fn(\031)c Fw(1)j(for)g Fj(l)j Fw(ev)m(en)f(and)e
46125 Fn(\031)d Fw(0)j(for)g Fj(l)j Fw(o)s(dd.)0 3657 y Fo(15.1.4)113
46126 b(Jet)36 b(masses)0 3829 y Fw(The)29 b(particles)e(of)h(an)f(ev)m(en)m
46127 (t)j(ma)m(y)e(b)s(e)g(divided)g(in)m(to)f(t)m(w)m(o)i(classes.)42
46128 b(F)-8 b(or)28 b(eac)m(h)g(class)h(a)e(squared)j(in)m(v)-5
46129 b(ari-)0 3938 y(an)m(t)33 b(mass)g(ma)m(y)g(b)s(e)g(calculated,)f
46130 Fj(M)1348 3902 y Fl(2)1338 3962 y(1)1422 3938 y Fw(and)h
46131 Fj(M)1716 3902 y Fl(2)1706 3962 y(2)1756 3938 y Fw(.)45
46132 b(If)33 b(the)g(assignmen)m(t)g(of)f(particles)h(is)f(adjusted)i(suc)m
46133 (h)0 4046 y(that)e(the)g(sum)g Fj(M)688 4010 y Fl(2)678
46134 4071 y(1)750 4046 y Fw(+)21 b Fj(M)951 4010 y Fl(2)941
46135 4071 y(2)1023 4046 y Fw(is)32 b(minimized,)d(the)j(t)m(w)m(o)h(masses)g
46136 (th)m(us)g(obtained)f(are)g(called)f(hea)m(vy)i(and)0
46137 4154 y(ligh)m(t)f(jet)i(mass,)g Fj(M)733 4169 y Fl(H)824
46138 4154 y Fw(and)f Fj(M)1108 4169 y Fl(L)1157 4154 y Fw(.)47
46139 b(It)33 b(has)h(b)s(een)h(sho)m(wn)g(that)e(these)i(quan)m(tities)e
46140 (are)h(w)m(ell)f(b)s(eha)m(v)m(ed)i(in)0 4263 y(p)s(erturbation)28
46141 b(theory)i([Cla79)o(].)43 b(In)30 b(e)1401 4227 y Fl(+)1460
46142 4263 y Fw(e)1503 4227 y Fk(\000)1592 4263 y Fw(annihilation,)c(the)k
46143 (hea)m(vy)h(jet)e(mass)g(obtains)g(a)g(con)m(tribu-)0
46144 4371 y(tion)e(from)g(q)p 473 4318 52 4 v(q)q(g)i(3-jet)e(ev)m(en)m(ts,)
46145 32 b(whereas)d(the)g(ligh)m(t)d(mass)i(is)g(non-v)-5
46146 b(anishing)26 b(only)i(when)h(4-jet)e(ev)m(en)m(ts)0
46147 4479 y(also)32 b(are)g(included.)43 b(In)33 b(the)g(c.m.)43
46148 b(frame)32 b(of)g(an)h(ev)m(en)m(t)h(one)f(has)g(the)g(limits)c(0)f
46149 Fn(\024)g Fj(M)3154 4443 y Fl(2)3144 4504 y(H)3229 4479
46150 y Fn(\024)g Fj(E)3412 4443 y Fl(2)3406 4504 y(cm)3501
46151 4479 y Fj(=)p Fw(3.)146 4588 y(In)i(general,)f(the)g(sub)s(division)f
46152 (of)h(particles)f(tends)i(to)f(b)s(e)g(in)m(to)f(t)m(w)m(o)i
46153 (hemispheres,)h(separated)f(b)m(y)0 4696 y(a)k(plane)g(p)s(erp)s
46154 (endicular)g(to)h(an)f(ev)m(en)m(t)i(axis.)50 b(As)35
46155 b(with)f(thrust,)i(it)e(is)g(time-consuming)e(to)i(\014nd)h(the)0
46156 4804 y(exact)g(solution.)47 b(Di\013eren)m(t)33 b(appro)m(ximate)g
46157 (strategies)i(ma)m(y)e(therefore)i(b)s(e)f(used.)50 b(In)34
46158 b(the)h(program,)0 4913 y(the)i(sphericit)m(y)f(axis)g(is)g(used)h(to)f
46159 (p)s(erform)f(a)h(fast)g(sub)s(division)f(in)m(to)g(t)m(w)m(o)i
46160 (hemispheres,)h(and)e(th)m(us)0 5021 y(in)m(to)26 b(t)m(w)m(o)h
46161 (preliminary)d(jets.)42 b(Thereafter)27 b(one)g(particle)e(at)i(a)f
46162 (time)f(is)h(tested)i(to)e(determine)g(whether)0 5130
46163 y(the)38 b(sum)f Fj(M)488 5093 y Fl(2)478 5154 y(1)554
46164 5130 y Fw(+)26 b Fj(M)760 5093 y Fl(2)750 5154 y(2)837
46165 5130 y Fw(w)m(ould)38 b(b)s(e)g(decreased)h(if)e(that)g(particle)f(w)m
46166 (ere)j(to)e(b)s(e)h(assigned)g(to)f(the)h(other)0 5238
46167 y(jet.)50 b(The)36 b(precedure)h(is)d(stopp)s(ed)i(when)f(no)g(further)
46168 g(signi\014can)m(t)f(c)m(hange)i(is)e(obtained.)50 b(Often)35
46169 b(the)0 5346 y(original)g(assignmen)m(t)k(is)f(retained)h(as)g(it)e
46170 (is,)j(i.e.)62 b(the)39 b(sphericit)m(y)g(axis)g(giv)m(es)g(a)f(go)s(o)
46171 s(d)g(separation.)0 5455 y(This)28 b(is)g(not)g(a)g(full)e(guaran)m
46172 (tee,)k(since)e(the)h(program)d(migh)m(t)h(get)h(stuc)m(k)i(in)d(a)h
46173 (lo)s(cal)e(mimim)m(um)e(whic)m(h)0 5563 y(is)32 b(not)h(the)g(global)d
46174 (one.)1817 5953 y(294)p eop
46175 %%Page: 295 301
46176 295 300 bop 0 -18 a Fp(15.2)136 b(Cluster)45 b(Finding)0
46177 154 y Fw(Global)22 b(ev)m(en)m(t)k(measures,)h(lik)m(e)d(sphericit)m(y)
46178 h(or)f(thrust,)j(can)d(only)g(b)s(e)h(used)h(to)e(determine)g(the)h
46179 (jet)f(axes)0 263 y(for)36 b(bac)m(k-to-bac)m(k)i(2-jet)f(ev)m(en)m
46180 (ts.)58 b(T)-8 b(o)37 b(determine)g(the)g(individual)e(jet)i(axes)h(in)
46181 e(ev)m(en)m(ts)j(with)e(three)0 371 y(or)e(more)f(jets,)i(or)f(with)f
46182 (t)m(w)m(o)i(\(main\))d(jets)j(whic)m(h)f(are)g(not)g(bac)m(k-to-bac)m
46183 (k,)i(cluster)e(algorithms)d(are)0 479 y(customarily)e(used.)44
46184 b(In)32 b(these,)h(nearb)m(y)g(particles)e(are)h(group)s(ed)f(together)
46185 h(in)m(to)f(a)g(v)-5 b(ariable)30 b(n)m(um)m(b)s(er)0
46186 588 y(of)c(clusters.)43 b(Eac)m(h)27 b(cluster)h(has)f(a)f(w)m
46187 (ell-de\014ned)h(direction,)g(giv)m(en)g(b)m(y)h(a)f(suitably)f(w)m
46188 (eigh)m(ted)h(a)m(v)m(erage)0 696 y(of)32 b(the)h(constituen)m(t)g
46189 (particle)f(directions.)146 804 y(The)39 b(cluster)f(algorithms)d
46190 (traditionally)f(used)k(in)f(e)2115 768 y Fl(+)2174 804
46191 y Fw(e)2217 768 y Fk(\000)2314 804 y Fw(and)h(in)f(pp)h(ph)m(ysics)h
46192 (di\013er)e(in)g(sev)m(eral)0 913 y(resp)s(ects.)75 b(The)44
46193 b(former)e(tend)h(to)f(b)s(e)h(spherically)e(symmetric,)k(i.e.)73
46194 b(ha)m(v)m(e)44 b(no)e(preferred)i(axis)e(in)0 1021 y(space,)j(and)c
46195 (normally)e(all)g(particles)i(ha)m(v)m(e)i(to)e(b)s(e)g(assigned)h(to)f
46196 (some)g(jet.)70 b(The)42 b(latter)e(pic)m(k)i(the)0 1129
46197 y(b)s(eam)c(axis)g(as)g(preferred)h(direction,)g(and)g(mak)m(e)f(use)h
46198 (of)f(v)-5 b(ariables)37 b(related)h(to)g(this)g(c)m(hoice,)i(suc)m(h)0
46199 1238 y(as)k(rapidit)m(y)e(and)i(transv)m(erse)i(momen)m(tum;)i
46200 (additionally)40 b(only)j(a)h(fraction)e(of)h(all)f(particles)g(are)0
46201 1346 y(assigned)33 b(to)f(jets.)146 1454 y(This)25 b(re\015ects)h(a)e
46202 (di\013erence)h(in)f(the)h(underlying)f(ph)m(ysics:)41
46203 b(in)24 b(pp)h(collisions,)e(the)i(b)s(eam)f(remnan)m(ts)0
46204 1563 y(found)i(at)f(lo)m(w)g(transv)m(erse)i(momen)m(ta)e(are)g(not)g
46205 (related)h(to)f(an)m(y)h(hard)f(pro)s(cesses,)k(and)d(therefore)g(only)
46206 0 1671 y(pro)m(vide)k(an)g(un)m(w)m(an)m(ted)h(noise)f(to)f(man)m(y)h
46207 (studies.)43 b(\(Of)30 b(course,)h(also)e(hard)h(pro)s(cesses)h(ma)m(y)
46208 f(pro)s(duce)0 1779 y(particles)f(at)h(lo)m(w)g(transv)m(erse)i(momen)m
46209 (ta,)d(but)i(at)e(a)h(rate)g(m)m(uc)m(h)h(less)f(than)g(that)g(from)f
46210 (soft)h(or)g(semi-)0 1888 y(hard)36 b(pro)s(cesses.\))56
46211 b(F)-8 b(urther,)37 b(the)g(kinematics)e(of)g(hard)h(pro)s(cesses)j
46212 (is,)d(to)g(a)g(go)s(o)s(d)f(appro)m(ximation,)0 1996
46213 y(factorized)27 b(in)m(to)f(the)i(hard)f(subpro)s(cess)i(itself,)e
46214 (whic)m(h)h(is)e(b)s(o)s(ost)h(in)m(v)-5 b(arian)m(t)26
46215 b(in)g(rapidit)m(y)-8 b(,)27 b(and)g(parton-)0 2104 y(distribution)k
46216 (e\013ects,)j(whic)m(h)f(determine)f(the)h(o)m(v)m(erall)f(p)s(osition)
46217 e(of)i(a)h(hard)f(scattering)h(in)f(rapidit)m(y)-8 b(.)0
46218 2213 y(Hence)31 b(rapidit)m(y)-8 b(,)29 b(azim)m(uthal)e(angle)i(and)h
46219 (transv)m(erse)i(momen)m(tum)c(is)h(a)g(suitable)g(co)s(ordinate)f
46220 (frame)0 2321 y(to)k(describ)s(e)h(hard)g(pro)s(cesses)i(in.)146
46221 2429 y(In)c(standard)g(e)714 2393 y Fl(+)773 2429 y Fw(e)816
46222 2393 y Fk(\000)906 2429 y Fw(annihilation)c(ev)m(en)m(ts,)33
46223 b(on)d(the)h(other)g(hand,)g(the)g(hard)f(pro)s(cess)i(c.m.)42
46224 b(frame)0 2538 y(tends)29 b(to)f(b)s(e)g(almost)e(at)i(rest,)h(and)g
46225 (the)f(ev)m(en)m(t)i(axis)e(is)f(just)h(ab)s(out)g(randomly)f
46226 (distributed)g(in)g(space,)0 2646 y(i.e.)41 b(with)27
46227 b(no)h(preferred)g(r^)-49 b(ole)26 b(for)h(the)h(axis)f(de\014ned)i(b)m
46228 (y)f(the)g(incoming)d(e)2686 2610 y Fk(\006)2746 2646
46229 y Fw(.)41 b(All)26 b(particle)g(pro)s(duction)0 2754
46230 y(is)k(initiated)e(b)m(y)j(and)f(related)g(to)g(the)h(hard)f(subpro)s
46231 (cess.)45 b(Some)30 b(of)g(the)h(particles)e(ma)m(y)h(b)s(e)h(less)f
46232 (easy)0 2863 y(to)40 b(asso)s(ciate)f(to)h(a)f(sp)s(eci\014c)i(jet,)h
46233 (but)e(there)g(is)g(no)g(comp)s(elling)c(reason)41 b(to)e(remo)m(v)m(e)
46234 i(an)m(y)f(of)g(them)0 2971 y(from)31 b(consideration.)146
46235 3079 y(This)36 b(do)s(es)g(not)f(mean)g(that)h(the)g(separation)f(ab)s
46236 (o)m(v)m(e)h(is)f(alw)m(a)m(ys)h(required.)53 b(2)p Fj(\015)40
46237 b Fw(ev)m(en)m(ts)e(in)d(e)3618 3043 y Fl(+)3677 3079
46238 y Fw(e)3720 3043 y Fk(\000)0 3188 y Fw(ma)m(y)i(ha)m(v)m(e)h(a)f
46239 (structure)h(with)f(`b)s(eam)f(jets')i(and)f(`hard)g(scattering')g
46240 (jets,)i(for)d(whic)m(h)i(the)f(pp)h(t)m(yp)s(e)0 3296
46241 y(algorithms)d(migh)m(t)i(b)s(e)h(w)m(ell)f(suited.)59
46242 b(Con)m(v)m(ersely)-8 b(,)42 b(a)37 b(hea)m(vy)j(particle)c(pro)s
46243 (duced)j(in)e(pp)h(collisions)0 3404 y(could)32 b(pro\014tably)g(b)s(e)
46244 h(studied,)g(in)f(its)g(o)m(wn)h(rest)g(frame,)f(with)g(e)2418
46245 3368 y Fl(+)2478 3404 y Fw(e)2521 3368 y Fk(\000)2613
46246 3404 y Fw(tec)m(hniques.)146 3513 y(In)44 b(the)g(follo)m(wing,)g
46247 (particles)f(are)g(only)g(c)m(haracterized)i(b)m(y)f(their)f
46248 (three-momen)m(ta)g(or,)j(alter-)0 3621 y(nativ)m(ely)-8
46249 b(,)47 b(their)c(energy)j(and)e(direction)f(of)h(motion.)76
46250 b(No)44 b(kno)m(wledge)h(is)f(therefore)h(assumed)g(of)0
46251 3730 y(particle)c(t)m(yp)s(es,)47 b(or)c(ev)m(en)h(of)e(mass)h(and)g(c)
46252 m(harge.)75 b(Clearly)-8 b(,)44 b(the)f(more)f(is)h(kno)m(wn,)j(the)e
46253 (more)e(so-)0 3838 y(phisticated)f(clustering)f(algorithms)e(can)k(b)s
46254 (e)f(used.)70 b(The)42 b(pro)s(cedure)g(then)g(also)e(b)s(ecomes)h
46255 (more)0 3946 y(detector-dep)s(enden)m(t,)35 b(and)e(therefore)g(less)g
46256 (suitable)e(for)h(general)g(usage.)146 4055 y Fm(Jetset)e
46257 Fw(con)m(tains)h(t)m(w)m(o)h(cluster)f(\014nding)f(routines.)43
46258 b Fq(LUCLUS)32 b Fw(is)f(of)f(the)i(e)2874 4018 y Fl(+)2933
46259 4055 y Fw(e)2976 4018 y Fk(\000)3066 4055 y Fw(t)m(yp)s(e)g(and)f
46260 Fq(LUCELL)0 4163 y Fw(of)h(the)h(pp)g(one.)44 b(Eac)m(h)33
46261 b(of)f(them)h(allo)m(ws)e(some)i(v)-5 b(ariations)30
46262 b(of)i(the)h(basic)g(sc)m(heme.)0 4411 y Fo(15.2.1)113
46263 b(Cluster)36 b(\014nding)i(in)e(an)i Fw(e)1496 4374 y
46264 Fl(+)1556 4411 y Fw(e)1599 4374 y Fk(\000)1696 4411 y
46265 Fo(t)m(yp)s(e)f(of)h(en)m(vironmen)m(t)0 4583 y Fw(The)27
46266 b(usage)g(of)e(cluster)i(algorithms)c(for)j(e)1529 4547
46267 y Fl(+)1588 4583 y Fw(e)1631 4547 y Fk(\000)1716 4583
46268 y Fw(applications)e(started)j(in)e(the)i(late)e(1970's.)41
46269 b(A)26 b(n)m(um)m(b)s(er)0 4692 y(of)34 b(di\013eren)m(t)h(approac)m
46270 (hes)h(w)m(ere)f(prop)s(osed)g([Bab80].)50 b(Of)34 b(these,)i(w)m(e)g
46271 (will)c(here)j(only)f(discuss)i(those)0 4800 y(based)44
46272 b(on)f(binary)g(joining.)74 b(In)43 b(this)g(kind)g(of)g(approac)m(h,)j
46273 (initially)39 b(eac)m(h)45 b(\014nal-state)d(particle)g(is)0
46274 4908 y(considered)h(to)e(b)s(e)h(a)f(cluster.)71 b(Using)41
46275 b(some)h(distance)g(measure,)i(the)e(t)m(w)m(o)g(nearest)h(clusters)f
46276 (are)0 5017 y(found.)69 b(If)42 b(their)e(distance)i(is)e(smaller)g
46277 (than)h(some)g(cut-o\013)g(v)-5 b(alue,)42 b(the)g(t)m(w)m(o)g
46278 (clusters)g(are)f(joined)0 5125 y(in)m(to)33 b(one.)48
46279 b(In)34 b(this)f(new)i(con\014guration,)e(the)i(t)m(w)m(o)f(clusters)h
46280 (that)e(are)h(no)m(w)h(nearest)g(are)e(found)h(and)0
46281 5233 y(joined,)42 b(and)f(so)h(on)e(un)m(til)g(all)f(clusters)i(are)g
46282 (separated)h(b)m(y)g(a)f(distance)g(larger)e(than)i(the)h(cut-o\013.)0
46283 5342 y(The)34 b(clusters)f(remaining)e(at)h(the)i(end)f(are)g(often)g
46284 (also)f(called)g(jets.)45 b(Note)33 b(that,)f(in)g(this)h(approac)m(h,)
46285 0 5450 y(eac)m(h)c(single)e(particle)g(b)s(elongs)g(to)h(exactly)h(one)
46286 f(cluster.)42 b(Also)28 b(note)g(that)g(the)g(resulting)f(jet)h
46287 (picture)0 5558 y(explicitly)c(dep)s(ends)j(on)f(the)g(cut-o\013)g(v)-5
46288 b(alue)25 b(used.)43 b(Normally)23 b(the)j(n)m(um)m(b)s(er)g(of)g
46289 (clusters)g(is)g(allo)m(w)m(ed)f(to)1817 5953 y(295)p
46290 eop
46291 %%Page: 296 302
46292 296 301 bop 0 -18 a Fw(v)-5 b(ary)32 b(from)f(ev)m(en)m(t)j(to)e(ev)m
46293 (en)m(t,)i(but)e(o)s(ccasionally)e(it)h(is)g(more)h(useful)g(to)g(ha)m
46294 (v)m(e)h(the)f(cluster)h(algorithm)0 90 y(\014nd)g(a)f(predetermined)h
46295 (n)m(um)m(b)s(er)g(of)f(jets)h(\(lik)m(e)f(3\).)146 198
46296 y(The)40 b(ob)m(vious)e(c)m(hoice)h(for)e(a)h(distance)h(measure)g(is)e
46297 (to)h(use)i(squared)f(in)m(v)-5 b(arian)m(t)37 b(mass,)j(i.e.)60
46298 b(for)0 307 y(t)m(w)m(o)33 b(clusters)h Fj(i)e Fw(and)h
46299 Fj(j)39 b Fw(to)32 b(de\014ne)i(the)f(distance)g(to)f(b)s(e)1226
46300 488 y Fj(m)1311 447 y Fl(2)1311 513 y Fh(ij)1399 488
46301 y Fw(=)c(\()p Fj(E)1613 503 y Fh(i)1663 488 y Fw(+)22
46302 b Fj(E)1833 503 y Fh(j)1870 488 y Fw(\))1908 447 y Fl(2)1970
46303 488 y Fn(\000)g Fw(\()p Fo(p)2169 503 y Fh(i)2220 488
46304 y Fw(+)g Fo(p)2380 503 y Fh(j)2417 488 y Fw(\))2455 447
46305 y Fl(2)2527 488 y Fj(:)1003 b Fw(\(228\))0 682 y(\(Equiv)-5
46306 b(alen)m(tly)d(,)32 b(one)g(could)g(ha)m(v)m(e)i(used)f(the)g(in)m(v)-5
46307 b(arian)m(t)31 b(mass)h(as)h(measure)g(rather)f(than)g(its)g(square;)0
46308 790 y(this)i(is)g(just)h(a)f(matter)g(of)g(con)m(v)m(enience.\))51
46309 b(In)35 b(fact,)g(a)f(n)m(um)m(b)s(er)h(of)f(p)s(eople)g(\(including)f
46310 (the)i(author\))0 899 y(tried)29 b(this)g(measure)h(long)f(ago)g(and)g
46311 (ga)m(v)m(e)i(up)f(on)f(it,)g(since)i(it)d(turns)i(out)g(to)f(ha)m(v)m
46312 (e)i(sev)m(ere)h(instabilit)m(y)0 1007 y(problems.)61
46313 b(The)40 b(reason)f(is)f(w)m(ell)g(understo)s(o)s(d:)56
46314 b(in)38 b(general,)h(particles)f(tend)h(to)g(cluster)g(closer)f(in)0
46315 1115 y(in)m(v)-5 b(arian)m(t)30 b(mass)h(in)g(the)h(region)e(of)h
46316 (small)e(momen)m(ta.)42 b(The)32 b(clustering)f(pro)s(cess)h(therefore)
46317 g(tends)h(to)0 1224 y(start)28 b(in)f(the)h(cen)m(ter)i(of)d(the)h(ev)m
46318 (en)m(t,)j(and)d(only)g(subsequen)m(tly)i(spread)f(out)m(w)m(ards)g(to)
46319 f(encompass)g(also)0 1332 y(the)35 b(fast)g(particles.)49
46320 b(Rather)35 b(than)f(clustering)g(slo)m(w)h(particles)f(around)h(the)g
46321 (fast)g(ones)g(\(where)h(the)0 1440 y(latter)h(na)-11
46322 b(\177)-38 b(\020v)m(ely)39 b(should)f(b)s(est)h(represen)m(t)h(the)f
46323 (jet)g(directions\),)g(the)g(in)m(v)-5 b(arian)m(t)37
46324 b(mass)h(measure)h(will)0 1549 y(tend)33 b(to)f(cluster)h(fast)g
46325 (particles)f(around)g(the)h(slo)m(w)g(ones.)146 1657
46326 y(Another)g(instabilit)m(y)d(ma)m(y)j(b)s(e)g(seen)g(b)m(y)h
46327 (considering)e(the)h(clustering)f(in)f(a)i(simple)e(2-jet)h(ev)m(en)m
46328 (t.)0 1765 y(By)27 b(the)g(time)e(that)h(clustering)g(has)g(reac)m(hed)
46329 i(the)f(lev)m(el)f(of)g(three)h(clusters,)h(the)f(`b)s(est')g(the)g
46330 (clustering)0 1874 y(algorithm)36 b(can)j(p)s(ossibly)f(ha)m(v)m(e)i
46331 (ac)m(hiev)m(ed,)i(in)c(terms)h(of)f(\014nding)h(three)g(lo)m(w-mass)f
46332 (clusters,)j(is)e(to)0 1982 y(ha)m(v)m(e)45 b(one)e(fast)g(cluster)h
46333 (around)f(eac)m(h)h(jet,)i(plus)d(a)g(third)g(slo)m(w)g(cluster)h(in)e
46334 (the)i(middle.)73 b(In)44 b(the)0 2090 y(last)f(step)h(this)f(third)g
46335 (cluster)h(w)m(ould)f(b)s(e)h(joined)f(with)g(one)h(of)f(the)h(fast)f
46336 (ones,)k(to)d(pro)s(duce)g(t)m(w)m(o)0 2199 y(\014nal)29
46337 b(asymmetric)f(clusters:)42 b(one)30 b(cluster)g(w)m(ould)f(con)m(tain)
46338 g(all)e(the)j(slo)m(w)f(particles,)g(also)g(those)h(that)0
46339 2307 y(visually)h(lo)s(ok)h(lik)m(e)g(b)s(elonging)f(to)h(the)h(opp)s
46340 (osite)f(jet.)44 b(A)33 b(simple)e(binary)i(joining)d(pro)s(cess,)k
46341 (with)f(no)0 2415 y(p)s(ossiblit)m(y)e(to)i(reassign)f(particles)g(b)s
46342 (et)m(w)m(een)j(clusters,)e(is)f(therefore)h(not)g(lik)m(ely)e(to)h(b)s
46343 (e)h(optimal.)146 2524 y(The)46 b(solution)d(adopted)h(b)m(y)i(the)e
46344 (author)g([Sj\177)-49 b(o83])44 b(is)g(to)g(reject)h(in)m(v)-5
46345 b(arian)m(t)43 b(mass)i(as)f(distance)0 2632 y(measure.)d(Instead)25
46346 b(a)f(jet)g(is)f(de\014ned)j(as)e(a)f(collection)f(of)i(particles)f
46347 (whic)m(h)h(ha)m(v)m(e)i(a)d(limited)e(transv)m(erse)0
46348 2741 y(momen)m(tum)28 b(with)h(resp)s(ect)h(to)f(a)g(common)f(jet)h
46349 (axis,)h(and)g(hence)g(also)f(with)g(resp)s(ect)h(to)f(eac)m(h)h
46350 (other.)0 2849 y(This)47 b(picture)g(is)f(clearly)g(inspired)g(b)m(y)i
46351 (the)f(standard)g(fragmen)m(tation)e(picture,)51 b(e.g.)86
46352 b(in)46 b(string)0 2957 y(fragmen)m(tation.)41 b(A)32
46353 b(distance)g(measure)f Fj(d)1579 2972 y Fh(ij)1671 2957
46354 y Fw(b)s(et)m(w)m(een)j(t)m(w)m(o)e(particles)e(\(or)h(clusters\))i
46355 (with)e(momen)m(ta)0 3066 y Fo(p)62 3081 y Fh(i)132 3066
46356 y Fw(and)42 b Fo(p)393 3081 y Fh(j)472 3066 y Fw(should)f(th)m(us)i
46357 (not)f(dep)s(end)h(critically)c(on)i(the)h(longitudinal)d(momen)m(ta)h
46358 (but)i(only)g(on)0 3174 y(the)37 b(relativ)m(e)e(transv)m(erse)j(momen)
46359 m(tum.)53 b(A)36 b(n)m(um)m(b)s(er)g(of)g(suc)m(h)i(measures)f(w)m(ere)
46360 g(tried,)f(and)h(the)f(one)0 3282 y(ev)m(en)m(tually)d(selected)h(is)
46361 481 3533 y Fj(d)532 3492 y Fl(2)532 3558 y Fh(ij)619
46362 3533 y Fw(=)733 3466 y(1)p 733 3510 49 4 v 733 3602 a(2)808
46363 3533 y(\()p Fn(j)p Fo(p)936 3548 y Fh(i)964 3533 y Fn(j)17
46364 b(j)p Fo(p)1099 3548 y Fh(j)1135 3533 y Fn(j)22 b(\000)h
46365 Fo(p)1347 3548 y Fh(i)1397 3533 y Fn(\001)f Fo(p)1509
46366 3548 y Fh(j)1546 3533 y Fw(\))1687 3466 y(4)17 b Fn(j)p
46367 Fo(p)1843 3481 y Fh(i)1870 3466 y Fn(j)g(j)p Fo(p)2005
46368 3481 y Fh(j)2041 3466 y Fn(j)p 1610 3510 536 4 v 1610
46369 3602 a Fw(\()p Fn(j)p Fo(p)1738 3617 y Fh(i)1766 3602
46370 y Fn(j)22 b Fw(+)g Fn(j)p Fo(p)2004 3617 y Fh(j)2041
46371 3602 y Fn(j)p Fw(\))2107 3573 y Fl(2)2183 3533 y Fw(=)2297
46372 3466 y(4)17 b Fn(j)p Fo(p)2453 3481 y Fh(i)2480 3466
46373 y Fn(j)2508 3430 y Fl(2)2564 3466 y Fn(j)p Fo(p)2654
46374 3481 y Fh(j)2690 3466 y Fn(j)2718 3430 y Fl(2)2791 3466
46375 y Fw(sin)2911 3426 y Fl(2)2950 3466 y Fw(\()p Fj(\022)3033
46376 3481 y Fh(ij)3094 3466 y Fj(=)p Fw(2\))p 2297 3510 933
46377 4 v 2495 3602 a(\()p Fn(j)p Fo(p)2623 3617 y Fh(i)2651
46378 3602 y Fn(j)22 b Fw(+)g Fn(j)p Fo(p)2889 3617 y Fh(j)2926
46379 3602 y Fn(j)p Fw(\))2992 3573 y Fl(2)3272 3533 y Fj(:)258
46380 b Fw(\(229\))146 3786 y(F)-8 b(or)36 b(small)d(relativ)m(e)j(angle)f
46381 Fj(\022)1237 3801 y Fh(ij)1298 3786 y Fw(,)i(where)g(2)17
46382 b(sin)o(\()p Fj(\022)1915 3801 y Fh(ij)1976 3786 y Fj(=)p
46383 Fw(2\))33 b Fn(\031)h Fw(sin)17 b Fj(\022)2438 3801 y
46384 Fh(ij)2535 3786 y Fw(and)36 b(cos)17 b Fj(\022)2920 3801
46385 y Fh(ij)3015 3786 y Fn(\031)34 b Fw(1,)i(this)g(measure)0
46386 3894 y(reduces)e(to)1545 4044 y Fj(d)1596 4059 y Fh(ij)1684
46387 4044 y Fn(\031)1799 3977 y(j)p Fo(p)1889 3992 y Fh(i)1939
46388 3977 y Fn(\002)23 b Fo(p)2101 3992 y Fh(j)2137 3977 y
46389 Fn(j)p 1799 4021 367 4 v 1800 4113 a(j)p Fo(p)1890 4128
46390 y Fh(i)1940 4113 y Fw(+)f Fo(p)2100 4128 y Fh(j)2137
46391 4113 y Fn(j)2208 4044 y Fj(;)1322 b Fw(\(230\))0 4261
46392 y(where)41 b(`)p Fn(\002)p Fw(')g(represen)m(ts)h(the)f(cross)g(pro)s
46393 (duct.)66 b(W)-8 b(e)40 b(therefore)h(see)g(that)f Fj(d)2803
46394 4276 y Fh(ij)2903 4261 y Fw(in)f(this)h(limit)d(has)j(the)0
46395 4369 y(simple)27 b(ph)m(ysical)h(in)m(terpretation)g(as)h(the)g(transv)
46396 m(erse)h(momen)m(tum)d(of)h(either)h(particle)e(with)h(resp)s(ect)0
46397 4478 y(to)35 b(the)g(direction)f(giv)m(en)h(b)m(y)g(the)h(sum)f(of)f
46398 (the)h(t)m(w)m(o)h(particle)d(momen)m(ta.)50 b(Unlik)m(e)34
46399 b(the)h(appro)m(ximate)0 4586 y(expression,)h(ho)m(w)m(ev)m(er,)g
46400 Fj(d)952 4601 y Fh(ij)1046 4586 y Fw(do)s(es)f(not)e(v)-5
46401 b(anish)34 b(for)f(t)m(w)m(o)i(bac)m(k-to-bac)m(k)g(particles,)e(but)h
46402 (is)g(here)g(more)0 4694 y(related)e(to)g(the)h(in)m(v)-5
46403 b(arian)m(t)32 b(mass)g(b)s(et)m(w)m(een)j(them.)146
46404 4803 y(The)29 b(basic)e(sc)m(heme)h(is)f(of)g(the)h(binary)f(joining)e
46405 (t)m(yp)s(e,)k(i.e.)42 b(initially)23 b(eac)m(h)28 b(particle)e(is)h
46406 (assumed)h(to)0 4911 y(b)s(e)33 b(a)g(cluster)h(b)m(y)g(itself.)43
46407 b(Then)35 b(the)e(t)m(w)m(o)h(clusters)g(with)f(smallest)e(relativ)m(e)
46408 i(distance)g Fj(d)3282 4926 y Fh(ij)3375 4911 y Fw(are)g(found)0
46409 5019 y(and,)i(if)f Fj(d)362 5034 y Fh(ij)453 5019 y Fj(<)d(d)611
46410 5034 y Fl(join)730 5019 y Fw(,)36 b(with)e Fj(d)1068
46411 5034 y Fl(join)1222 5019 y Fw(some)g(predetermined)h(distance,)h(the)f
46412 (t)m(w)m(o)g(clusters)g(are)g(joined)f(to)0 5128 y(one,)i(i.e.)49
46413 b(their)34 b(momen)m(ta)g(are)g(added)i(v)m(ectorially)d(to)h(giv)m(e)h
46414 (the)g(momen)m(tum)e(of)h(the)h(new)h(cluster.)0 5236
46415 y(This)46 b(is)f(rep)s(eated)h(un)m(til)f(the)h(distance)g(b)s(et)m(w)m
46416 (een)h(an)m(y)g(t)m(w)m(o)f(clusters)g(is)g Fj(>)j(d)3014
46417 5251 y Fl(join)3134 5236 y Fw(.)82 b(The)47 b(n)m(um)m(b)s(er)0
46418 5344 y(and)41 b(momen)m(ta)e(of)h(these)i(\014nal)e(clusters)i(then)f
46419 (represen)m(t)i(our)d(reconstruction)h(of)f(the)i(initial)36
46420 b(jet)0 5453 y(con\014guration,)c(and)g(eac)m(h)i(particle)d(is)h
46421 (assigned)h(to)f(one)h(of)f(the)h(clusters.)146 5561
46422 y(T)-8 b(o)27 b(mak)m(e)g(this)f(sc)m(heme)i(w)m(ork)-5
46423 b(able,)28 b(t)m(w)m(o)f(further)g(ingredien)m(ts)f(are)h(necessary)-8
46424 b(,)30 b(ho)m(w)m(ev)m(er.)44 b(Firstly)-8 b(,)0 5669
46425 y(after)46 b(t)m(w)m(o)h(clusters)g(ha)m(v)m(e)g(b)s(een)g(joined,)j
46426 (some)c(particles)f(b)s(elonging)f(to)i(the)h(new)g(cluster)g(ma)m(y)
46427 1817 5953 y(296)p eop
46428 %%Page: 297 303
46429 297 302 bop 0 -18 a Fw(actually)33 b(b)s(e)h(closer)g(to)g(another)g
46430 (cluster.)48 b(Hence,)36 b(after)e(eac)m(h)h(joining,)e(all)f
46431 (particles)h(in)g(the)i(ev)m(en)m(t)0 90 y(are)g(reassigned)h(to)f(the)
46432 h(closest)f(of)g(the)h(clusters.)52 b(F)-8 b(or)35 b(particle)f
46433 Fj(i)p Fw(,)i(this)f(means)g(that)g(the)h(distance)0
46434 198 y Fj(d)51 213 y Fh(ij)138 198 y Fw(to)26 b(all)f(clusters)i
46435 Fj(j)32 b Fw(in)26 b(the)h(ev)m(en)m(t)i(has)e(to)f(b)s(e)h(ev)-5
46436 b(aluated)26 b(and)h(compared.)41 b(After)27 b(all)d(particles)i(ha)m
46437 (v)m(e)0 307 y(b)s(een)41 b(considered,)h(and)e(only)f(then,)k(are)d
46438 (cluster)g(momen)m(ta)e(recalculated)i(to)f(tak)m(e)i(in)m(to)e(accoun)
46439 m(t)0 415 y(an)m(y)34 b(reassignmen)m(ts.)47 b(T)-8 b(o)34
46440 b(sa)m(v)m(e)h(time,)d(the)i(assignmen)m(t)f(pro)s(cedure)i(is)e(not)g
46441 (iterated)g(un)m(til)f(a)i(stable)0 523 y(con\014guration)47
46442 b(is)h(reac)m(hed,)53 b(but,)f(since)d(all)d(particles)h(are)h
46443 (reassigned)h(at)e(eac)m(h)i(step,)k(suc)m(h)d(an)0 632
46444 y(iteration)33 b(is)i(e\013ectiv)m(ely)h(taking)f(place)g(in)f
46445 (parallel)f(with)i(the)h(cluster)g(joining.)49 b(Only)35
46446 b(at)g(the)h(v)m(ery)0 740 y(end,)41 b(when)e(all)e Fj(d)672
46447 755 y Fh(ij)770 740 y Fj(>)g(d)934 755 y Fl(join)1054
46448 740 y Fw(,)j(is)e(the)h(reassignmen)m(t)f(pro)s(cedure)i(iterated)e(to)
46449 g(con)m(v)m(ergence)j(|)d(still)0 848 y(with)30 b(the)g(p)s(ossibilit)m
46450 (y)f(to)g(con)m(tin)m(ue)i(the)g(cluster)f(joining)e(if)h(some)h
46451 Fj(d)2530 863 y Fh(ij)2621 848 y Fw(should)g(drop)g(b)s(elo)m(w)g
46452 Fj(d)3478 863 y Fl(join)3628 848 y Fw(due)0 957 y(to)i(the)h
46453 (reassignmen)m(t.)146 1065 y(Occasionally)-8 b(,)35 b(it)g(ma)m(y)g(o)s
46454 (ccur)h(that)g(the)g(reassignmen)m(t)g(step)g(leads)g(to)f(an)h(empt)m
46455 (y)g(cluster,)h(i.e.)0 1173 y(one)k(to)g(whic)m(h)h(no)f(particles)f
46456 (are)h(assigned.)69 b(Since)41 b(suc)m(h)i(a)e(cluster)g(has)h(a)e
46457 (distance)i Fj(d)3383 1188 y Fh(ij)3485 1173 y Fw(=)g(0)f(to)0
46458 1282 y(an)m(y)h(other)g(cluster,)i(it)d(is)g(automatically)d(remo)m(v)m
46459 (ed)k(in)f(the)h(next)g(cluster)g(joining.)68 b(Ho)m(w)m(ev)m(er,)46
46460 b(it)0 1390 y(is)g(p)s(ossible)g(to)g(run)g(the)h(program)e(in)h(a)g
46461 (mo)s(de)g(where)h(a)g(minim)m(um)c(n)m(um)m(b)s(er)j(of)g(jets)h(is)f
46462 (to)g(b)s(e)0 1498 y(reconstructed.)58 b(If)37 b(this)f(minim)m(um)e
46463 (is)i(reac)m(hed)i(with)f(one)g(cluster)g(empt)m(y)-8
46464 b(,)38 b(the)g(particle)d(is)h(found)0 1607 y(whic)m(h)43
46465 b(has)f(largest)g(distance)g(to)g(the)h(cluster)f(it)f(b)s(elongs)h
46466 (to.)72 b(That)42 b(cluster)h(is)f(then)g(split)f(in)m(to)0
46467 1715 y(t)m(w)m(o,)46 b(namely)c(the)h(large-distance)e(particle)g(and)i
46468 (a)f(remainder.)73 b(Thereafter)43 b(the)g(reassignmen)m(t)0
46469 1823 y(pro)s(cedure)34 b(is)e(con)m(tin)m(ued)h(as)g(b)s(efore.)146
46470 1932 y(Secondly)-8 b(,)45 b(the)d(large)f(m)m(ultiplicities)c(normally)
46471 i(encoun)m(tered)44 b(means)e(that,)i(if)c(eac)m(h)j(particle)0
46472 2040 y(initially)26 b(is)j(to)h(b)s(e)g(treated)h(as)f(a)g(separate)h
46473 (cluster,)g(the)f(program)f(will)e(b)s(ecome)j(v)m(ery)i(slo)m(w.)43
46474 b(There-)0 2148 y(fore)34 b(a)g(smaller)e(n)m(um)m(b)s(er)i(of)g
46475 (clusters,)h(for)f(a)g(normal)e(e)2075 2112 y Fl(+)2134
46476 2148 y Fw(e)2177 2112 y Fk(\000)2271 2148 y Fw(ev)m(en)m(t)k(t)m
46477 (ypically)d(8{12,)g(is)h(constructed)0 2257 y(as)g(a)g(starting)f(p)s
46478 (oin)m(t)g(for)g(the)i(iteration)d(ab)s(o)m(v)m(e,)j(as)f(follo)m(ws.)
46479 47 b(The)34 b(particle)f(with)h(the)g(highest)g(mo-)0
46480 2365 y(men)m(tum)g(is)g(found,)h(and)f(thereafter)h(all)e(particles)g
46481 (within)h(a)g(distance)g Fj(d)2778 2380 y Fh(ij)2869
46482 2365 y Fj(<)d(d)3027 2380 y Fl(init)3171 2365 y Fw(from)i(it,)h(where)0
46483 2473 y Fj(d)51 2488 y Fl(init)209 2473 y Fn(\034)48 b
46484 Fj(d)408 2488 y Fl(join)527 2473 y Fw(.)80 b(T)-8 b(ogether)45
46485 b(these)h(are)f(allo)m(w)m(ed)e(to)i(form)e(a)h(single)g(cluster.)80
46486 b(F)-8 b(or)44 b(the)h(remaining)0 2582 y(particles,)40
46487 b(not)g(assigned)f(to)g(this)g(cluster,)j(the)d(pro)s(cedure)i(is)e
46488 (iterated,)h(un)m(til)e(all)g(particles)g(ha)m(v)m(e)0
46489 2690 y(b)s(een)k(used)g(up.)70 b(P)m(articles)41 b(in)g(the)g(cen)m
46490 (tral)h(momen)m(tum)d(region,)k Fn(j)p Fo(p)p Fn(j)f
46491 Fj(<)g Fw(2)p Fj(d)2944 2705 y Fl(init)3095 2690 y Fw(are)f(treated)h
46492 (sep-)0 2798 y(arately;)47 b(if)42 b(their)g(v)m(ectorial)g(momen)m
46493 (tum)f(sum)h(is)h(ab)s(o)m(v)m(e)g(2)p Fj(d)2352 2813
46494 y Fl(init)2504 2798 y Fw(they)h(are)e(allo)m(w)m(ed)g(to)h(form)e(one)0
46495 2907 y(cluster,)34 b(otherwise)g(they)g(are)g(left)e(unassigned)i(in)f
46496 (the)h(initial)29 b(con\014guration.)46 b(The)34 b(v)-5
46497 b(alue)33 b(of)g Fj(d)3643 2922 y Fl(init)3752 2907 y
46498 Fw(,)0 3015 y(as)40 b(long)e(as)i(reasonably)f(small,)g(has)h(no)g(ph)m
46499 (ysical)f(imp)s(ortance,)h(in)f(that)g(the)h(same)f(\014nal)g(cluster)0
46500 3123 y(con\014guration)29 b(will)e(b)s(e)j(found)g(as)f(if)g(eac)m(h)h
46501 (particle)f(initially)c(is)k(assumed)i(to)e(b)s(e)h(a)f(cluster)h(b)m
46502 (y)h(itself:)0 3232 y(the)d(particles)f(clustered)h(at)g(this)f(step)h
46503 (are)g(so)g(nearb)m(y)h(an)m(yw)m(a)m(y)g(that)f(they)g(almost)e
46504 (inevitably)g(m)m(ust)0 3340 y(en)m(ter)32 b(the)g(same)f(jet;)h
46505 (additionally)27 b(the)32 b(reassignmen)m(t)f(pro)s(cedure)h(allo)m(ws)
46506 e(an)m(y)i(p)s(ossible)f(`mistak)m(e')0 3448 y(to)h(b)s(e)h(corrected)h
46507 (in)e(later)f(steps)j(of)e(the)h(iteration.)146 3557
46508 y(Th)m(us)43 b(the)f(jet)f(reconstruction)h(dep)s(ends)h(on)e(one)g
46509 (single)g(parameter,)i Fj(d)2933 3572 y Fl(join)3052
46510 3557 y Fw(,)h(with)d(a)g(clearcut)0 3665 y(ph)m(ysical)34
46511 b(meaning)f(of)h(a)g(transv)m(erse)i(momen)m(tum)d(`jet-resolution)g(p)
46512 s(o)m(w)m(er'.)49 b(Neglecting)34 b(smearing)0 3774 y(from)45
46513 b(fragmen)m(tation,)k Fj(d)969 3789 y Fh(ij)1076 3774
46514 y Fw(b)s(et)m(w)m(een)g(t)m(w)m(o)e(clusters)h(of)e(equal)g(energy)i
46515 (corresp)s(onds)g(to)f(half)e(the)0 3882 y(in)m(v)-5
46516 b(arian)m(t)23 b(mass)i(of)f(the)h(t)m(w)m(o)h(original)21
46517 b(partons.)41 b(If)25 b(one)g(only)f(wishes)i(to)e(reconstruct)j(w)m
46518 (ell)d(separated)0 3990 y(jets,)32 b(a)g(large)e Fj(d)577
46519 4005 y Fl(join)728 3990 y Fw(should)h(b)s(e)h(c)m(hosen,)h(while)e(a)g
46520 (small)e Fj(d)2145 4005 y Fl(join)2296 3990 y Fw(w)m(ould)j(allo)m(w)e
46521 (the)i(separation)e(of)h(close)0 4099 y(jets,)40 b(at)d(the)h(cost)g
46522 (of)f(sometimes)g(arti\014cially)d(dividing)i(a)h(single)g(jet)h(in)m
46523 (to)f(t)m(w)m(o.)59 b(In)38 b(particular,)f(b)0 4207
46524 y(quark)26 b(jets)h(ma)m(y)e(here)h(b)s(e)g(a)g(n)m(uisance.)42
46525 b(The)26 b(v)-5 b(alue)25 b(of)g Fj(d)2076 4222 y Fl(join)2221
46526 4207 y Fw(to)h(use)g(for)f(a)h(\014xed)h(jet-resolution)d(p)s(o)m(w)m
46527 (er)0 4315 y(in)33 b(principle)g(should)h(b)s(e)g(indep)s(enden)m(t)h
46528 (of)e(the)i(c.m.)47 b(energy)35 b(of)f(ev)m(en)m(ts,)j(although)32
46529 b(fragmen)m(tation)0 4424 y(e\013ects)g(ma)m(y)e(giv)m(e)g(a)g(con)m
46530 (tamination)e(of)h(spurious)i(extra)g(jets)f(that)g(increases)i(slo)m
46531 (wly)d(with)h Fj(E)3538 4439 y Fl(cm)3663 4424 y Fw(for)0
46532 4532 y(\014xed)36 b Fj(d)289 4547 y Fl(join)408 4532
46533 y Fw(.)50 b(Therefore)36 b(a)f Fj(d)1064 4547 y Fl(join)1215
46534 4532 y Fw(=)c(2)p Fj(:)p Fw(5)j(GeV)h(w)m(as)g(acceptable)h(at)e
46535 (PETRA/PEP)-8 b(,)37 b(while)c(3{4)i(GeV)0 4640 y(ma)m(y)d(b)s(e)h(b)s
46536 (etter)g(for)f(applications)f(at)h(LEP)h(and)g(b)s(ey)m(ond.)146
46537 4749 y(This)j(completes)f(the)h(description)f(of)g(the)g(main)f(option)
46538 g(of)h(the)h Fq(LUCLUS)h Fw(routine.)51 b(V)-8 b(ariations)0
46539 4857 y(are)26 b(p)s(ossible.)41 b(One)27 b(suc)m(h)h(is)e(to)g(skip)g
46540 (the)h(reassignmen)m(t)g(step,)h(i.e.)41 b(to)26 b(mak)m(e)h(use)g
46541 (only)f(of)g(the)h(simple)0 4965 y(binary)h(joining)e(pro)s(cedure,)k
46542 (without)e(an)m(y)g(p)s(ossibilit)m(y)e(to)i(reassign)g(particles)g(b)s
46543 (et)m(w)m(een)i(jets.)42 b(\(This)0 5074 y(option)31
46544 b(is)h(included)h(mainly)d(as)j(a)f(reference,)i(to)e(c)m(hec)m(k)j(ho)
46545 m(w)e(imp)s(ortan)m(t)e(reassignmen)m(t)i(really)e(is.\))0
46546 5182 y(The)39 b(other)g(main)e(alternativ)m(e)g(is)h(to)g(replace)g
46547 (the)h(distance)g(measure)g(used)g(ab)s(o)m(v)m(e)g(with)f(the)h(one)0
46548 5290 y(used)34 b(in)e(the)h(JADE)f(algorithm)e([JAD86)o(].)146
46549 5399 y(The)36 b(JADE)g(cluster)f(algorithm)d(is)j(an)g(attempt)f(to)h
46550 (sa)m(v)m(e)i(the)e(in)m(v)-5 b(arian)m(t)34 b(mass)h(measure.)52
46551 b(The)1817 5953 y(297)p eop
46552 %%Page: 298 304
46553 298 303 bop 0 -18 a Fw(distance)33 b(measure)g(is)f(de\014ned)i(to)e(b)
46554 s(e)1352 201 y Fj(y)1400 216 y Fh(ij)1487 201 y Fw(=)1601
46555 134 y(2)p Fj(E)1722 149 y Fh(i)1750 134 y Fj(E)1822 149
46556 y Fh(j)1859 134 y Fw(\(1)22 b Fn(\000)g Fw(cos)17 b Fj(\022)2259
46557 149 y Fh(ij)2320 134 y Fw(\))p 1601 178 758 4 v 1899
46558 269 a Fj(E)1977 235 y Fl(2)1971 293 y(vis)2401 201 y
46559 Fj(:)1129 b Fw(\(231\))0 449 y(Here)38 b Fj(E)307 464
46560 y Fl(vis)433 449 y Fw(is)e(the)i(total)d(visible)h(energy)i(of)e(the)i
46561 (ev)m(en)m(t.)58 b(The)38 b(usage)g(of)e Fj(E)2832 413
46562 y Fl(2)2826 474 y(vis)2952 449 y Fw(in)h(the)g(denominator)0
46563 558 y(rather)e(than)f Fj(E)602 522 y Fl(2)596 582 y(cm)726
46564 558 y Fw(tends)h(to)g(mak)m(e)g(the)g(measure)g(less)g(sensitiv)m(e)g
46565 (to)g(detector)g(acceptance)h(correc-)0 666 y(tions;)31
46566 b(in)f(addition)f(the)j(dimensionless)e(nature)h(of)g
46567 Fj(y)1999 681 y Fh(ij)2090 666 y Fw(mak)m(es)h(it)d(w)m(ell)i(suited)g
46568 (for)f(a)h(comparison)f(of)0 774 y(results)k(at)f(di\013eren)m(t)g
46569 (c.m.)46 b(energies.)g(F)-8 b(or)33 b(the)g(subsequen)m(t)k
46570 (discussions,)d(this)f(normalization)d(will)0 883 y(b)s(e)j(irrelev)-5
46571 b(an)m(t,)31 b(ho)m(w)m(ev)m(er.)146 991 y(The)g Fj(y)392
46572 1006 y Fh(ij)481 991 y Fw(measure)f(is)f(v)m(ery)i(closely)e(related)g
46573 (to)g(the)h(squared)h(mass)e(distance)h(measure:)42 b(the)30
46574 b(t)m(w)m(o)0 1099 y(coincide)g(\(up)h(to)f(the)h(di\013erence)g(in)f
46575 (normalization\))d(if)j Fj(m)2205 1114 y Fh(i)2261 1099
46576 y Fw(=)d Fj(m)2449 1114 y Fh(j)2514 1099 y Fw(=)g(0.)43
46577 b(Ho)m(w)m(ev)m(er,)33 b(consider)e(a)g(pair)0 1208 y(of)d(particles)f
46578 (or)i(clusters)g(with)f(non-v)-5 b(anishing)27 b(individual)e(masses)30
46579 b(and)e(a)g(\014xed)i(pair)d(mass.)42 b(Then,)0 1316
46580 y(the)d(larger)f(the)h(net)h(momen)m(tum)d(of)i(the)g(pair,)h(the)f
46581 (smaller)e(the)i Fj(y)2591 1331 y Fh(ij)2690 1316 y Fw(measure.)63
46582 b(This)39 b(somewhat)0 1425 y(tends)h(to)e(fa)m(v)m(our)h(clustering)f
46583 (of)g(fast)g(particles,)i(and)e(mak)m(es)h(the)g(algorithm)d(less)j
46584 (unstable)f(than)0 1533 y(the)33 b(one)g(based)g(on)g(true)g(in)m(v)-5
46585 b(arian)m(t)31 b(mass.)146 1641 y(The)i(successes)h(of)d(the)h(JADE)f
46586 (algorithm)d(are)j(w)m(ell)g(kno)m(wn:)44 b(one)31 b(obtains)g(a)g(v)m
46587 (ery)i(go)s(o)s(d)d(agree-)0 1750 y(men)m(t)e(b)s(et)m(w)m(een)i(the)e
46588 (n)m(um)m(b)s(er)g(of)f(partons)h(generated)h(on)e(the)i(matrix-elemen)
46589 m(t)c(\(or)i(parton-sho)m(w)m(er\))0 1858 y(lev)m(el)k(and)h(the)g(n)m
46590 (um)m(b)s(er)g(of)f(clusters)h(reconstructed)h(from)e(the)g(hadrons,)i
46591 (suc)m(h)g(that)e(QCD)g(asp)s(ects)0 1966 y(lik)m(e)26
46592 b(the)h(running)f(of)h Fj(\013)860 1981 y Fl(s)918 1966
46593 y Fw(can)g(b)s(e)g(studied)g(with)g(a)f(minimal)d(dep)s(endence)29
46594 b(on)d(fragmen)m(tation)f(e\013ects.)0 2075 y(Of)33 b(course,)j(the)e
46595 (insensitivit)m(y)f(to)h(fragmen)m(tation)e(e\013ects)j(dep)s(ends)g
46596 (on)f(the)g(c)m(hoice)g(of)g(fragmen)m(ta-)0 2183 y(tion)f(mo)s(del.)46
46597 b(F)-8 b(ragmen)m(tation)32 b(e\013ects)j(are)f(small)d(in)j(the)g
46598 (string)f(mo)s(del,)g(but)h(not)g(in)f(indep)s(enden)m(t)0
46599 2291 y(fragmen)m(tation)41 b(scenarios.)73 b(Although)42
46600 b(indep)s(enden)m(t)h(fragmen)m(tation)e(in)g(itself)h(is)g(not)g
46601 (credible,)0 2400 y(this)32 b(ma)m(y)h(b)s(e)f(seen)i(as)f(a)f(signal)f
46602 (for)h(caution.)146 2508 y(One)g(should)g(note)g(that)g(the)g(JADE)g
46603 (measure)g(still)d(su\013ers)k(from)e(some)g(of)h(the)g(diseases)h(of)e
46604 (the)0 2616 y(simple)26 b(mass)i(measure)g(\(without)f(reassignmen)m
46605 (ts\),)j(namely)d(that)g(particles)g(whic)m(h)i(go)e(in)g(opp)s(osite)0
46606 2725 y(directions)g(ma)m(y)g(w)m(ell)g(b)s(e)h(joined)f(in)m(to)g(the)h
46607 (same)f(cluster.)42 b(Therefore,)30 b(while)d(the)h(JADE)g(algorithm)0
46608 2833 y(is)35 b(a)g(go)s(o)s(d)g(w)m(a)m(y)h(to)f(\014nd)i(the)e(n)m(um)
46609 m(b)s(er)h(of)f(jets,)i(it)e(is)g(inferior)e(to)i(the)h(standard)g
46610 Fj(d)3100 2848 y Fh(ij)3196 2833 y Fw(measure)g(for)f(a)0
46611 2941 y(determination)30 b(of)g(jet)i(directions)f(and)g(energies)h
46612 ([Bet92].)43 b(The)33 b Fj(d)2503 2956 y Fh(ij)2594 2941
46613 y Fw(measure)f(also)f(giv)m(es)h(narro)m(w)m(er)0 3050
46614 y(jets,)h(whic)m(h)g(agree)g(b)s(etter)g(with)f(the)h(visual)f
46615 (impression)f(of)h(jet)h(structure.)146 3158 y(Recen)m(tly)-8
46616 b(,)43 b(the)e(`Durham)f(algorithm')d(has)k(b)s(een)g(in)m(tro)s(duced)
46617 f([Cat91],)j(whic)m(h)e(w)m(orks)g(as)g(the)0 3266 y(JADE)33
46618 b(one)f(but)h(with)g(a)f(distance)h(measure)1196 3497
46619 y(~)-56 b Fj(y)1237 3512 y Fh(ij)1325 3497 y Fw(=)1439
46620 3423 y(2)17 b(min)n(\()p Fj(E)1783 3387 y Fl(2)1777 3447
46621 y Fh(i)1822 3423 y Fj(;)g(E)1944 3387 y Fl(2)1938 3447
46622 y Fh(j)1983 3423 y Fw(\)\(1)22 b Fn(\000)h Fw(cos)17
46623 b Fj(\022)2422 3438 y Fh(ij)2483 3423 y Fw(\))p 1439
46624 3474 1083 4 v 1895 3565 a Fj(E)1973 3536 y Fl(2)1967
46625 3590 y Fh(cm)2563 3497 y Fj(:)967 b Fw(\(232\))0 3737
46626 y(Lik)m(e)37 b(the)h Fj(d)441 3752 y Fh(ij)538 3737 y
46627 Fw(measure,)h(this)d(is)h(a)g(transv)m(erse)i(momen)m(tum,)e(but)44
46628 b(~)-56 b Fj(y)2576 3752 y Fh(ij)2673 3737 y Fw(has)38
46629 b(the)f(geometrical)e(in)m(ter-)0 3845 y(pretation)30
46630 b(as)h(the)g(transv)m(erse)i(momen)m(tum)d(of)g(the)i(softer)f
46631 (particle)e(with)i(resp)s(ect)h(to)e(the)i(direction)0
46632 3953 y(of)38 b(the)h(harder)g(one,)h(while)e Fj(d)1131
46633 3968 y Fh(ij)1229 3953 y Fw(is)g(the)h(transv)m(erse)i(momen)m(tum)c
46634 (of)h(either)g(particle)f(with)h(resp)s(ect)0 4062 y(to)33
46635 b(the)g(common)f(direction)g(giv)m(en)i(b)m(y)g(the)f(momen)m(tum)f(v)m
46636 (ector)i(sum.)46 b(The)34 b(t)m(w)m(o)g(de\014nitions)e(agree)0
46637 4170 y(when)k(one)g(cluster)f(is)g(m)m(uc)m(h)h(softer)f(than)g(the)h
46638 (other,)g(so)g(the)f(soft)g(gluon)g(exp)s(onen)m(tiation)f(pro)m(v)m
46639 (en)0 4278 y(for)e(the)h(Durham)e(measure)i(also)f(holds)g(for)g(the)h
46640 Fj(d)1899 4293 y Fh(ij)1992 4278 y Fw(one.)146 4387 y(The)25
46641 b(main)e(di\013erence)i(therefore)g(is)e(that)h(the)h(standard)g
46642 Fq(LUCLUS)h Fw(option)d(allo)m(ws)g(reassignmen)m(ts,)0
46643 4495 y(while)46 b(the)g(Durham)g(algorithm)d(do)s(es)k(not.)85
46644 b(The)47 b(latter)f(is)g(therefore)h(more)f(easily)f(calculable)0
46645 4603 y(on)d(the)g(p)s(erturbativ)m(e)f(parton)h(lev)m(el.)70
46646 b(This)42 b(p)s(oin)m(t)e(is)i(sometimes)e(o)m(v)m(erstressed,)47
46647 b(and)42 b(one)g(could)0 4712 y(giv)m(e)i(coun)m(terexamples)h(wh)m(y)g
46648 (reassignmen)m(ts)g(in)e(fact)g(ma)m(y)h(bring)f(b)s(etter)h(agreemen)m
46649 (t)h(with)e(the)0 4820 y(underlying)e(p)s(erturbativ)m(e)g(lev)m(el.)70
46650 b(In)41 b(particular,)h(without)f(reassignmen)m(ts,)j(one)e(will)d(mak)
46651 m(e)i(the)0 4928 y(recom)m(bination)f(that)i(seems)h(the)g(`b)s(est')f
46652 (in)g(the)g(curren)m(t)h(step,)j(ev)m(en)d(when)h(that)d(forces)i(y)m
46653 (ou)g(to)0 5037 y(mak)m(e)29 b(`w)m(orse')h(c)m(hoices)f(in)f
46654 (subsequen)m(t)k(steps.)44 b(With)28 b(reassignmen)m(ts,)i(it)d(is)i(p)
46655 s(ossible)e(to)i(correct)g(for)0 5145 y(mistak)m(es)k(due)g(to)f(the)h
46656 (to)s(o)f(lo)s(cal)e(sensitivit)m(y)j(of)f(a)g(simple)f(binary)h
46657 (joining)f(sc)m(heme.)0 5388 y Fo(15.2.2)113 b(Cluster)36
46658 b(\014nding)i(in)e(a)i Fw(pp)g Fo(t)m(yp)s(e)f(of)h(en)m(vironmen)m(t)0
46659 5561 y Fw(The)d Fq(LUCELL)h Fw(cluster)e(\014nding)g(routines)g(is)g
46660 (of)g(the)h(kind)f(pioneered)g(b)m(y)i(UA1)e([UA183)o(],)h(and)g(com-)0
46661 5669 y(monly)c(used)i(in)f(pp)g(ph)m(ysics.)45 b(It)33
46662 b(is)e(based)i(on)g(a)e(c)m(hoice)i(of)f(pseudorapidit)m(y)g
46663 Fj(\021)t Fw(,)g(azim)m(uthal)e(angle)i Fj(')1817 5953
46664 y Fw(298)p eop
46665 %%Page: 299 305
46666 299 304 bop 0 -18 a Fw(and)28 b(transv)m(erse)j(momen)m(tum)c
46667 Fj(p)1200 -3 y Fk(?)1287 -18 y Fw(as)h(the)h(fundamen)m(tal)f(co)s
46668 (ordinates.)41 b(This)29 b(c)m(hoice)f(is)g(discussed)i(in)0
46669 90 y(the)e(in)m(tro)s(duction)e(to)i(cluster)f(\014nding)h(ab)s(o)m(v)m
46670 (e,)h(with)e(the)h(pro)m(viso)g(that)f(the)i(theoretically)c(preferred)
46671 0 198 y(true)44 b(rapidit)m(y)g(has)g(to)g(b)s(e)g(replaced)g(b)m(y)h
46672 (pseudorapidit)m(y)-8 b(,)48 b(to)43 b(mak)m(e)i(con)m(tact)f(with)g
46673 (the)g(real-life)0 307 y(detector)33 b(co)s(ordinate)f(system.)146
46674 415 y(A)i(\014x)h(detector)g(grid)e(is)h(assumed,)h(with)f(the)g
46675 (pseudorapidit)m(y)g(range)h Fn(j)p Fj(\021)t Fn(j)29
46676 b Fj(<)h(\021)3111 430 y Fl(max)3281 415 y Fw(and)k(the)g(full)0
46677 523 y(azim)m(uthal)j(range)j(eac)m(h)g(divided)f(in)m(to)g(a)g(n)m(um)m
46678 (b)s(er)h(of)f(equally)g(large)f(bins,)j(giving)d(a)h(rectangular)0
46679 632 y(grid.)i(The)30 b(particles)e(of)h(an)f(ev)m(en)m(t)j(impinge)c
46680 (on)i(this)f(detector)i(grid.)41 b(F)-8 b(or)28 b(eac)m(h)i(cell)e(in)g
46681 (\()p Fj(\021)t Fw(,)p Fj(')p Fw(\))g(space,)0 740 y(the)41
46682 b(transv)m(erse)i(momen)m(tum)d(whic)m(h)h(en)m(ters)i(that)e(cell)e
46683 (is)i(summed)g(up)g(to)g(giv)m(e)f(a)h(total)e(cell)h
46684 Fj(E)3720 755 y Fk(?)0 848 y Fw(\015o)m(w.)146 957 y(Clearly)d(the)h
46685 (mo)s(del)e(remains)g(v)m(ery)j(primitiv)m(e)d(in)g(a)i(n)m(um)m(b)s
46686 (er)g(of)f(resp)s(ects,)j(compared)e(with)f(a)0 1065
46687 y(real)42 b(detector.)74 b(There)43 b(is)f(no)h(magnetic)e(\014eld)h
46688 (allo)m(w)m(ed)g(for,)j(i.e.)72 b(also)42 b(c)m(harged)h(particles)f
46689 (mo)m(v)m(e)0 1173 y(in)35 b(straigh)m(t)g(trac)m(ks.)54
46690 b(The)36 b(dimensions)f(of)g(the)h(detector)h(are)e(not)h(sp)s
46691 (eci\014ed;)i(hence)f(the)f(p)s(ositions)0 1282 y(of)e(the)g(primary)f
46692 (v)m(ertex)j(and)f(an)m(y)g(secondary)g(v)m(ertices)h(are)e(neglected)h
46693 (when)g(determining)e(whic)m(h)0 1390 y(cell)g(a)h(particle)f(b)s
46694 (elongs)g(to.)48 b(The)35 b(rest)g(mass)f(of)g(particles)f(is)h(not)g
46695 (tak)m(en)h(in)m(to)e(accoun)m(t,)j(i.e.)47 b(what)0
46696 1516 y(is)38 b(used)i(is)f(really)e Fj(p)761 1531 y Fk(?)859
46697 1516 y Fw(=)973 1424 y Fg(q)p 1056 1424 304 4 v 92 x
46698 Fj(p)1105 1488 y Fl(2)1105 1541 y Fh(x)1171 1516 y Fw(+)22
46699 b Fj(p)1318 1488 y Fl(2)1318 1541 y Fh(y)1359 1516 y
46700 Fw(,)41 b(while)d(in)g(a)g(real)g(detector)i(some)f(particles)f(w)m
46701 (ould)h(deca)m(y)h(or)0 1648 y(annihilate,)30 b(and)j(then)g(dep)s
46702 (osit)f(additional)e(amoun)m(ts)j(of)f(energy)-8 b(.)146
46703 1756 y(T)g(o)33 b(tak)m(e)h(in)m(to)e(accoun)m(t)i(the)f(energy)h
46704 (resolution)e(of)g(the)h(detector,)h(it)e(is)h(p)s(ossible)f(to)g
46705 (smear)h(the)0 1865 y Fj(E)72 1880 y Fk(?)170 1865 y
46706 Fw(con)m(ten)m(ts,)43 b(bin)c(b)m(y)h(bin.)63 b(This)39
46707 b(is)g(done)g(according)g(to)g(a)g(Gaussian,)h(with)f(a)g(width)g
46708 (assumed)0 1973 y(prop)s(ortional)32 b(to)h(the)853 1896
46709 y Fn(p)p 936 1896 132 4 v 77 x Fj(E)1008 1988 y Fk(?)1102
46710 1973 y Fw(of)g(the)i(bin.)48 b(The)35 b(Gaussian)f(is)g(cut)g(o\013)g
46711 (at)g(zero)h(and)f(at)g(some)g(prede-)0 2081 y(termined)f(m)m(ultiple)f
46712 (of)h(the)h(unsmeared)h Fj(E)1640 2096 y Fk(?)1699 2081
46713 y Fw(,)f(b)m(y)h(default)e(t)m(wice)i(it.)46 b(Alternativ)m(ely)-8
46714 b(,)33 b(the)i(smearing)0 2190 y(ma)m(y)40 b(b)s(e)h(p)s(erformed)f(in)
46715 g Fj(E)46 b Fw(rather)41 b(than)f(in)g Fj(E)1804 2205
46716 y Fk(?)1863 2190 y Fw(.)67 b(T)-8 b(o)41 b(\014nd)g(the)g
46717 Fj(E)6 b Fw(,)42 b(it)e(is)g(assumed)h(that)f(the)h(full)0
46718 2298 y(energy)f(of)f(a)g(cell)f(is)g(situated)h(at)g(its)g(cen)m(ter,)j
46719 (so)d(that)g(one)h(can)f(translate)g(bac)m(k)h(and)f(forth)g(with)0
46720 2406 y Fj(E)34 b Fw(=)27 b Fj(E)281 2421 y Fk(?)357 2406
46721 y Fw(cosh)18 b Fj(\021)607 2421 y Fl(cen)n(ter)797 2406
46722 y Fw(.)146 2515 y(The)36 b(cell)e(with)g(largest)h Fj(E)1139
46723 2530 y Fk(?)1233 2515 y Fw(is)f(tak)m(en)i(as)f(a)g(jet)g(initiator)c
46724 (if)j(its)g Fj(E)2636 2530 y Fk(?)2730 2515 y Fw(is)h(ab)s(o)m(v)m(e)h
46725 (some)e(threshold.)0 2623 y(A)41 b(candidate)h(jet)f(is)g(de\014ned)i
46726 (to)e(consist)g(of)g(all)f(cells)g(whic)m(h)i(are)f(within)g(some)g
46727 (giv)m(en)g(radius)g Fj(R)0 2731 y Fw(in)d(the)i(\()p
46728 Fj(\021)t Fw(,)p Fj(')p Fw(\))e(plane,)i(i.e.)63 b(whic)m(h)39
46729 b(ha)m(v)m(e)h(\()p Fj(\021)30 b Fn(\000)d Fj(\021)1819
46730 2746 y Fl(initiator)2075 2731 y Fw(\))2113 2695 y Fl(2)2179
46731 2731 y Fw(+)f(\()p Fj(')g Fn(\000)h Fj(')2577 2746 y
46732 Fl(initiator)2832 2731 y Fw(\))2870 2695 y Fl(2)2948
46733 2731 y Fj(<)39 b(R)3138 2695 y Fl(2)3177 2731 y Fw(.)63
46734 b(Co)s(ordinates)0 2840 y(are)39 b(alw)m(a)m(ys)g(giv)m(en)g(with)f
46735 (resp)s(ect)i(to)f(the)g(cen)m(ter)h(of)e(the)i(cell.)60
46736 b(If)39 b(the)g(summed)g Fj(E)3175 2855 y Fk(?)3273 2840
46737 y Fw(of)f(the)h(jet)g(is)0 2948 y(ab)s(o)m(v)m(e)30 b(the)h(required)f
46738 (minim)m(um)c(jet)k(energy)-8 b(,)31 b(the)f(candidate)f(jet)h(is)f
46739 (accepted,)j(and)e(all)d(its)i(cells)g(are)0 3056 y(remo)m(v)m(ed)41
46740 b(from)d(further)i(consideration.)64 b(If)40 b(not,)i(the)e(candidate)f
46741 (is)h(rejected.)66 b(The)40 b(sequence)j(is)0 3165 y(no)m(w)34
46742 b(rep)s(eated)f(with)g(the)g(remaining)e(cell)h(of)h(highest)f
46743 Fj(E)2143 3180 y Fk(?)2203 3165 y Fw(,)h(and)g(so)g(on)g(un)m(til)f(no)
46744 h(single)f(cell)g(ful\014lls)0 3273 y(the)h(jet)g(initiator)c
46745 (condition.)146 3381 y(The)43 b(n)m(um)m(b)s(er)f(of)f(jets)i
46746 (reconstruced)g(can)f(th)m(us)h(v)-5 b(ary)42 b(from)e(none)j(to)e(a)g
46747 (maxim)m(um)f(giv)m(en)i(b)m(y)0 3490 y(purely)35 b(geometrical)d
46748 (considerations,)i(i.e.)49 b(ho)m(w)35 b(man)m(y)f(circles)g(of)g
46749 (radius)g Fj(R)i Fw(are)e(needed)i(to)e(co)m(v)m(er)0
46750 3598 y(the)f(allo)m(w)m(ed)f(\()p Fj(\021)t Fw(,)p Fj(')p
46751 Fw(\))g(plane.)43 b(Normally)30 b(only)i(a)g(fraction)g(of)g(the)h
46752 (particles)f(are)g(assigned)h(to)f(jets.)146 3706 y(One)27
46753 b(could)f(consider)h(to)f(iterate)g(the)g(jet)h(assignmen)m(t)f(pro)s
46754 (cess,)j(using)d(the)h Fj(E)3030 3721 y Fk(?)3089 3706
46755 y Fw(-w)m(eigh)m(ted)g(cen)m(ter)0 3815 y(of)g(a)g(jet)g(to)g(dra)m(w)g
46756 (a)g(new)h(cirle)e(of)h(radius)g Fj(R)q Fw(.)42 b(In)27
46757 b(the)h(curren)m(t)g(algorithm)c(there)k(is)f(no)g(suc)m(h)h(iteration)
46758 0 3923 y(step.)68 b(F)-8 b(or)39 b(an)i(ideal)e(jet)h(assignmen)m(t)g
46759 (it)g(w)m(ould)g(also)f(b)s(e)i(necessary)i(to)d(impro)m(v)m(e)g(the)h
46760 (treatmen)m(t)0 4031 y(when)34 b(t)m(w)m(o)f(jet)g(circles)f(partially)
46761 e(o)m(v)m(erlap.)146 4140 y(A)35 b(\014nal)f(tec)m(hnical)g(note.)50
46762 b(A)35 b(natural)e(implemen)m(tation)f(of)i(a)g(cell)g(\014nding)g
46763 (algorithm)d(is)k(based)0 4248 y(on)g(ha)m(ving)f(a)h(t)m(w)m
46764 (o-dimensional)d(arra)m(y)j(of)f Fj(E)1703 4263 y Fk(?)1797
46765 4248 y Fw(v)-5 b(alues,)35 b(with)g(dimensions)f(to)g(matc)m(h)h(the)g
46766 (detector)0 4356 y(grid.)42 b(V)-8 b(ery)34 b(often)e(most)g(of)g(the)h
46767 (cells)f(w)m(ould)g(then)h(b)s(e)g(empt)m(y)-8 b(,)33
46768 b(in)e(particular)g(for)h(lo)m(w-m)m(ultiplicit)m(y)0
46769 4465 y(ev)m(en)m(ts)i(in)c(\014ne-grained)h(calorimeters.)41
46770 b(Our)32 b(implemen)m(tation)c(is)i(somewhat)i(at)m(ypical,)e(since)i
46771 (cells)0 4573 y(are)39 b(only)f(reserv)m(ed)j(space)f(\(con)m(ten)m(ts)
46772 h(and)d(p)s(osition\))f(when)j(they)g(are)f(sho)m(wn)h(to)e(b)s(e)h
46773 (non-empt)m(y)-8 b(.)0 4682 y(This)34 b(means)f(that)h(all)d(non-empt)m
46774 (y)j(cells)f(ha)m(v)m(e)i(to)e(b)s(e)h(lo)s(op)s(ed)f(o)m(v)m(er)h(to)g
46775 (\014nd)g(whic)m(h)g(are)g(within)e(the)0 4790 y(required)e(distance)g
46776 Fj(R)h Fw(of)e(a)g(p)s(oten)m(tial)f(jet)i(initiator.)39
46777 b(The)31 b(algorithm)26 b(is)j(therefore)i(faster)e(than)h(the)0
46778 4898 y(ordinary)i(kind)g(if)g(the)h(a)m(v)m(erage)g(cell)f(o)s
46779 (ccupancy)i(is)e(lo)m(w,)g(but)h(slo)m(w)m(er)g(if)e(it)h(is)g(high.)0
46780 5172 y Fp(15.3)136 b(Ev)l(en)l(t)46 b(Statistics)0 5344
46781 y Fw(All)27 b(the)j(ev)m(en)m(t-analysis)g(routines)f(ab)s(o)m(v)m(e)h
46782 (are)f(de\014ned)i(on)e(an)g(ev)m(en)m(t-b)m(y-ev)m(en)m(t)k(basis.)42
46783 b(Once)30 b(found,)0 5453 y(the)39 b(quan)m(tities)f(are)g(ab)s(out)g
46784 (equally)g(often)g(used)h(to)f(de\014ne)i(inclusiv)m(e)e(distributions)
46785 f(as)h(to)g(select)0 5561 y(sp)s(eci\014c)g(classes)g(of)f(ev)m(en)m
46786 (ts)j(for)d(con)m(tin)m(ued)h(study)-8 b(.)59 b(F)-8
46787 b(or)36 b(instance,)j(the)f(thrust)g(routine)e(migh)m(t)g(b)s(e)0
46788 5669 y(used)j(either)e(to)h(\014nd)g(the)g(inclusiv)m(e)f
46789 Fj(T)51 b Fw(distribution)36 b(or)h(to)g(select)i(ev)m(en)m(ts)h(with)d
46790 Fj(T)50 b(<)36 b Fw(0)p Fj(:)p Fw(9.)58 b(Other)1817
46791 5953 y(299)p eop
46792 %%Page: 300 306
46793 300 305 bop 0 -18 a Fw(measures,)42 b(although)d(still)e(de\014ned)k
46794 (for)e(the)h(individual)d(ev)m(en)m(t,)44 b(only)39 b(mak)m(e)h(sense)h
46795 (to)e(discuss)i(in)0 90 y(terms)e(of)g(a)m(v)m(erages)i(o)m(v)m(er)g
46796 (man)m(y)f(ev)m(en)m(ts.)66 b(A)40 b(small)d(set)j(of)f(suc)m(h)i
46797 (measures)f(is)f(found)h(in)f Fq(LUTABU)p Fw(.)0 198
46798 y(This)c(routine)f(has)g(to)h(b)s(e)f(called)g(once)h(after)f(eac)m(h)h
46799 (ev)m(en)m(t)i(to)d(accum)m(ulate)g(statistics,)h(and)f(once)h(in)0
46800 307 y(the)d(end)f(to)g(prin)m(t)g(the)g(\014nal)g(tables.)42
46801 b(Of)31 b(course,)i(among)c(the)j(w)m(ealth)f(of)g(p)s(ossibilities)d
46802 (imaginable,)0 415 y(the)g(ones)g(collected)f(here)h(are)f(only)g(a)g
46803 (small)e(sample,)j(selected)g(b)s(ecause)h(the)f(author)f(at)g(some)g
46804 (p)s(oin)m(t)0 523 y(has)33 b(found)g(a)f(use)h(for)g(them)f(himself.)0
46805 770 y Fo(15.3.1)113 b(Multiplicities)0 943 y Fw(Three)25
46806 b(options)f(are)g(a)m(v)-5 b(ailable)21 b(to)j(collect)f(information)e
46807 (on)i(m)m(ultiplicities)d(in)j(ev)m(en)m(ts.)43 b(One)25
46808 b(giv)m(es)f(the)0 1051 y(\015a)m(v)m(our)f(con)m(ten)m(t)h(of)e(the)h
46809 (\014nal)f(state)h(in)e(hard)i(in)m(teraction)e(pro)s(cesses,)27
46810 b(e.g.)40 b(the)23 b(relativ)m(e)f(comp)s(osition)0 1160
46811 y(of)43 b(d)p 176 1080 55 4 v(d)p Fj(=)p Fw(u)p 333 1107
46812 V(u)q Fj(=)p Fw(s)p 475 1107 39 4 v(s)p Fj(=)p Fw(c)p
46813 605 1107 44 4 v(c)q Fj(=)p Fw(b)p 752 1080 55 4 v(b)g(in)g(e)1017
46814 1123 y Fl(+)1077 1160 y Fw(e)1120 1123 y Fk(\000)1222
46815 1160 y Fw(annihilation)d(ev)m(en)m(ts.)79 b(Additionally)40
46816 b(it)j(giv)m(es)h(the)g(total)e(parton)0 1268 y(m)m(ultiplicit)m(y)28
46817 b(distribution)h(at)i(the)h(end)g(of)f(parton)g(sho)m(w)m(ering.)44
46818 b(Another)32 b(giv)m(es)g(the)g(inclusiv)m(e)f(rate)0
46819 1376 y(of)38 b(all)e(the)j(di\013eren)m(t)f(particles)f(pro)s(duced)i
46820 (in)f(ev)m(en)m(ts,)k(either)c(as)g(in)m(termediate)f(resonances)j(or)e
46821 (as)0 1485 y(\014nal-state)22 b(particles.)39 b(The)24
46822 b(n)m(um)m(b)s(er)f(is)f(sub)s(divided)h(in)m(to)f(particles)f(pro)s
46823 (duced)j(from)d(fragmen)m(tation)0 1593 y(\(primary)31
46824 b(particles\))h(and)h(those)g(pro)s(duced)g(in)f(deca)m(ys)i
46825 (\(secondary)g(particles\).)146 1701 y(The)39 b(third)d(option)g
46826 (tabulates)h(the)h(rate)f(of)g(exclusiv)m(e)h(\014nal)f(states,)i
46827 (after)e(all)e(allo)m(w)m(ed)i(deca)m(ys)0 1810 y(ha)m(v)m(e)j(o)s
46828 (ccurred.)61 b(Since)39 b(only)f(ev)m(en)m(ts)i(with)e(up)h(to)f(8)g
46829 (\014nal-state)g(particles)f(are)i(analyzed,)h(this)e(is)0
46830 1918 y(clearly)d(not)h(in)m(tended)h(for)e(the)h(study)i(of)d(complete)
46831 h(high-energy)f(ev)m(en)m(ts.)56 b(Rather)36 b(the)h(main)d(ap-)0
46832 2026 y(plication)26 b(is)i(for)f(an)i(analysis)e(of)h(the)h(deca)m(y)g
46833 (mo)s(des)f(of)g(a)g(single)g(particle.)40 b(F)-8 b(or)28
46834 b(instance,)h(the)g(deca)m(y)0 2135 y(data)h(for)h(D)f(mesons)h(is)g
46835 (giv)m(en)g(in)f(terms)h(of)f(c)m(hannels)i(that)e(also)g(con)m(tain)h
46836 (unstable)g(particles,)f(suc)m(h)0 2243 y(as)35 b Fj(\032)g
46837 Fw(and)g Fj(\021)t Fw(,)f(whic)m(h)i(deca)m(y)g(further.)50
46838 b(Therefore)36 b(a)e(giv)m(en)h(\014nal)f(state)h(ma)m(y)f(receiv)m(e)i
46839 (con)m(tributions)0 2351 y(from)31 b(sev)m(eral)j(tabulated)e(deca)m(y)
46840 i(c)m(hannels;)f(e.g.)44 b(K)p Fj(\031)t(\031)36 b Fw(from)31
46841 b(K)2403 2315 y Fk(\003)2443 2351 y Fj(\031)36 b Fw(and)d(K)p
46842 Fj(\032)p Fw(,)f(and)h(so)g(on.)0 2598 y Fo(15.3.2)113
46843 b(Energy-Energy)37 b(Correlation)0 2771 y Fw(The)d(Energy-Energy)g
46844 (Correlation)d(is)h(de\014ned)i(b)m(y)f([Bas78])1216
46845 3034 y(EEC)q(\()p Fj(\022)s Fw(\))28 b(=)1674 2951 y
46846 Fg(X)1679 3134 y Fh(i<j)1821 2967 y Fw(2)p Fj(E)1942
46847 2982 y Fh(i)1970 2967 y Fj(E)2042 2982 y Fh(j)p 1821
46848 3011 258 4 v 1869 3103 a Fj(E)1947 3068 y Fl(2)1941 3126
46849 y(vis)2105 3034 y Fj(\016)t Fw(\()p Fj(\022)d Fn(\000)e
46850 Fj(\022)2405 3049 y Fh(ij)2466 3034 y Fw(\))33 b Fj(;)993
46851 b Fw(\(233\))0 3327 y(and)33 b(its)f(Asymmetry)h(b)m(y)1116
46852 3530 y(EECA)q(\()p Fj(\022)s Fw(\))28 b(=)f(EEC)q(\()p
46853 Fj(\031)f Fn(\000)d Fj(\022)s Fw(\))f Fn(\000)h Fw(EEC)q(\()p
46854 Fj(\022)s Fw(\))33 b Fj(:)893 b Fw(\(234\))0 3733 y(Here)43
46855 b Fj(\022)285 3748 y Fh(ij)389 3733 y Fw(is)f(the)h(op)s(ening)f(angle)
46856 f(b)s(et)m(w)m(een)k(the)e(t)m(w)m(o)g(particles)f Fj(i)h
46857 Fw(and)f Fj(j)6 b Fw(,)45 b(with)d(energies)h Fj(E)3551
46858 3748 y Fh(i)3622 3733 y Fw(and)0 3841 y Fj(E)72 3856
46859 y Fh(j)109 3841 y Fw(.)72 b(In)42 b(principle,)h(normalization)38
46860 b(should)k(b)s(e)h(to)e Fj(E)2068 3856 y Fl(cm)2163 3841
46861 y Fw(,)j(but)f(if)e(not)h(all)e(particles)h(are)h(detected)0
46862 3949 y(it)f(is)h(con)m(v)m(enien)m(t)i(to)e(normalize)e(to)i(the)g
46863 (total)f(visible)g(energy)i Fj(E)2543 3964 y Fl(vis)2632
46864 3949 y Fw(.)73 b(T)-8 b(aking)42 b(in)m(to)f(accoun)m(t)i(the)0
46865 4058 y(auto)s(correlation)e(term)i Fj(i)k Fw(=)g Fj(j)6
46866 b Fw(,)46 b(the)e(total)e(EEC)j(in)e(an)h(ev)m(en)m(t)h(then)g(is)e
46867 (unit)m(y)-8 b(.)77 b(The)44 b Fj(\016)k Fw(function)0
46868 4166 y(p)s(eak)34 b(is)g(smeared)g(out)f(b)m(y)i(the)f(\014nite)g(bin)f
46869 (width)g(\001)p Fj(\022)38 b Fw(in)33 b(the)h(histogram,)e(i.e.,)i(it)f
46870 (is)g(replaced)h(b)m(y)h(a)0 4275 y(con)m(tribution)c(1)p
46871 Fj(=)p Fw(\001)p Fj(\022)36 b Fw(to)c(the)h(bin)f(whic)m(h)h(con)m
46872 (tains)g Fj(\022)1977 4290 y Fh(ij)2038 4275 y Fw(.)146
46873 4383 y(The)28 b(form)m(ulae)e(ab)s(o)m(v)m(e)i(refer)f(to)g(an)g
46874 (individual)d(ev)m(en)m(t,)30 b(and)d(are)g(to)g(b)s(e)g(a)m(v)m
46875 (eraged)h(o)m(v)m(er)g(all)d(ev)m(en)m(ts)0 4491 y(to)32
46876 b(suppress)j(statistical)c(\015uctuations,)h(and)h(obtain)e(smo)s(oth)h
46877 (functions)h(of)f Fj(\022)s Fw(.)0 4738 y Fo(15.3.3)113
46878 b(F)-9 b(actorial)35 b(momen)m(ts)0 4911 y Fw(F)-8 b(actorial)30
46879 b(momen)m(ts)h(ma)m(y)i(b)s(e)f(used)i(to)e(searc)m(h)h(for)f(in)m
46880 (termittency)g(in)g(ev)m(en)m(ts)i([Bia86)o(].)43 b(The)34
46881 b(whole)0 5019 y(\014eld)i(has)h(b)s(een)h(m)m(uc)m(h)f(studied)g(in)f
46882 (recen)m(t)i(y)m(ears,)h(and)d(a)h(host)f(of)h(di\013eren)m(t)f
46883 (measures)i(ha)m(v)m(e)g(b)s(een)0 5128 y(prop)s(osed.)44
46884 b(W)-8 b(e)33 b(only)f(implemen)m(t)f(one)i(of)f(the)h(original)c
46885 (prescriptions.)146 5236 y(T)-8 b(o)25 b(calculate)f(the)h(factorial)e
46886 (momen)m(ts,)j(the)f(full)e(rapidit)m(y)h(\(or)h(pseudorapidit)m(y\))g
46887 (and)g(azim)m(uthal)0 5344 y(ranges)40 b(are)g(sub)s(divided)g(in)m(to)
46888 f(bins)h(of)g(successiv)m(ely)i(smaller)c(size,)k(and)e(the)g(m)m
46889 (ultiplicit)m(y)c(distri-)0 5453 y(butions)f(in)g(bins)g(is)g(studied.)
46890 53 b(The)36 b(program)e(calculates)h(pseudorapidit)m(y)h(with)f(resp)s
46891 (ect)i(to)e(the)h Fj(z)0 5561 y Fw(axis;)h(if)d(desired,)j(one)f(could)
46892 f(\014rst)h(\014nd)f(an)h(ev)m(en)m(t)h(axis,)f(e.g.)52
46893 b(the)36 b(sphericit)m(y)g(or)f(thrust)h(axis,)g(and)0
46894 5669 y(subsequen)m(tly)f(rotate)d(the)h(ev)m(en)m(t)i(to)d(align)f
46895 (this)h(axis)g(with)g(the)h Fj(z)38 b Fw(direction.)1817
46896 5953 y(300)p eop
46897 %%Page: 301 307
46898 301 306 bop 146 -18 a Fw(The)33 b(full)c(rapidit)m(y)i(range)g
46899 Fn(j)p Fj(y)t Fn(j)26 b Fj(<)i(y)1433 -3 y Fl(max)1599
46900 -18 y Fw(\(or)j(pseudorapidit)m(y)g(range)h Fn(j)p Fj(\021)t
46901 Fn(j)27 b Fj(<)g(\021)2966 -3 y Fl(max)3102 -18 y Fw(\))k(and)h(azim)m
46902 (uthal)0 90 y(range)48 b(0)53 b Fj(<)g(')g(<)g Fw(2)p
46903 Fj(\031)e Fw(are)d(sub)s(divided)g(in)m(to)f Fj(m)1898
46904 105 y Fh(y)1987 90 y Fw(and)h Fj(m)2277 105 y Fh(')2375
46905 90 y Fw(equally)f(large)f(bins.)89 b(In)48 b(fact,)j(the)0
46906 198 y(whole)37 b(analysis)f(is)h(p)s(erformed)f(thrice:)52
46907 b(once)38 b(with)e Fj(m)2086 213 y Fh(')2172 198 y Fw(=)f(1)i(and)g
46908 (the)g Fj(y)j Fw(\(or)d Fj(\021)t Fw(\))f(range)h(gradually)0
46909 307 y(divided)h(in)m(to)f(1,)j(2,)f(4,)h(8,)f(16,)h(32,)f(64,)g(128,)g
46910 (256)f(and)g(512)g(bins,)h(once)g(with)f Fj(m)3067 322
46911 y Fh(y)3146 307 y Fw(=)g(1)g(and)g(the)h Fj(')0 415 y
46912 Fw(range)32 b(sub)s(divided)h(as)f(ab)s(o)m(v)m(e,)i(and)e(\014nally)f
46913 (once)i(with)f Fj(m)2195 430 y Fh(y)2265 415 y Fw(=)27
46914 b Fj(m)2453 430 y Fh(')2536 415 y Fw(according)32 b(to)g(the)h(same)f
46915 (binary)0 523 y(sequence.)46 b(Giv)m(en)33 b(the)g(m)m(ultiplicit)m(y)c
46916 Fj(n)1474 538 y Fh(j)1543 523 y Fw(in)j(bin)g Fj(j)6
46917 b Fw(,)32 b(the)h Fj(i)p Fw(:th)g(factorial)d(momen)m(t)i(is)g
46918 (de\014ned)i(b)m(y)886 801 y Fj(F)949 816 y Fh(i)1005
46919 801 y Fw(=)27 b(\()p Fj(m)1231 816 y Fh(y)1273 801 y
46920 Fj(m)1358 816 y Fh(')1408 801 y Fw(\))1446 760 y Fh(i)p
46921 Fk(\000)p Fl(1)1598 718 y Fg(X)1642 900 y Fh(j)1744 734
46922 y Fj(n)1802 749 y Fh(j)1839 734 y Fw(\()p Fj(n)1935 749
46923 y Fh(j)1994 734 y Fn(\000)c Fw(1\))17 b Fn(\001)g(\001)g(\001)d
46924 Fw(\()p Fj(n)2426 749 y Fh(j)2485 734 y Fn(\000)22 b
46925 Fj(i)h Fw(+)f(1\))p 1744 778 1080 4 v 1799 869 a Fj(n)p
46926 Fw(\()p Fj(n)h Fn(\000)f Fw(1\))17 b Fn(\001)g(\001)g(\001)d
46927 Fw(\()p Fj(n)23 b Fn(\000)f Fj(i)h Fw(+)f(1\))2867 801
46928 y Fj(:)663 b Fw(\(235\))0 1104 y(Here)38 b Fj(n)e Fw(=)440
46929 1038 y Fg(P)528 1125 y Fh(j)581 1104 y Fj(n)639 1119
46930 y Fh(j)713 1104 y Fw(is)h(the)g(total)f(m)m(ultiplicit)m(y)e(of)i(the)i
46931 (ev)m(en)m(t)h(within)d(the)i(allo)m(w)m(ed)e Fj(y)41
46932 b Fw(\(or)c Fj(\021)t Fw(\))f(limits.)0 1213 y(The)i(calculation)c(is)i
46933 (p)s(erformed)g(for)h(the)g(second)h(through)e(the)i(\014fth)e(momen)m
46934 (ts,)i(i.e.)55 b Fj(F)3367 1228 y Fl(2)3444 1213 y Fw(through)0
46935 1321 y Fj(F)63 1336 y Fl(5)103 1321 y Fw(.)146 1429 y(The)29
46936 b Fj(F)405 1444 y Fh(i)460 1429 y Fw(as)f(giv)m(en)g(here)g(are)f
46937 (de\014ned)i(for)e(the)h(individual)c(ev)m(en)m(t,)31
46938 b(and)c(ha)m(v)m(e)i(to)e(b)s(e)h(a)m(v)m(eraged)g(o)m(v)m(er)0
46939 1538 y(man)m(y)41 b(ev)m(en)m(ts)i(to)e(giv)m(e)g(a)g(reasonably)g(smo)
46940 s(oth)f(b)s(eha)m(viour.)69 b(If)41 b(particle)f(pro)s(duction)h(is)f
46941 (uniform)0 1646 y(and)30 b(uncorrelated)h(according)e(to)h(P)m
46942 (oissonian)g(statistics,)g(one)h(exp)s(ects)h Fn(h)p
46943 Fj(F)2839 1661 y Fh(i)2867 1646 y Fn(i)27 b(\021)h Fw(1)i(for)g(all)e
46944 (momen)m(ts)0 1754 y(and)33 b(all)e(bin)h(sizes.)45 b(If,)33
46945 b(on)g(the)g(other)g(hand,)h(particles)e(are)g(lo)s(cally)f(clustered,)
46946 j(factorial)c(momen)m(ts)0 1863 y(should)g(increase)g(when)h(bins)e
46947 (are)h(made)f(smaller,)f(do)m(wn)j(to)e(the)i(c)m(haracteristic)e
46948 (dimensions)g(of)g(the)0 1971 y(clustering.)0 2245 y
46949 Fp(15.4)136 b(Routines)46 b(and)e(Common)i(Blo)t(c)l(k)e(V)-11
46950 b(ariables)0 2418 y Fw(The)27 b(six)g(routines)f Fq(LUSPHE)p
46951 Fw(,)j Fq(LUTHRU)p Fw(,)f Fq(LUCLUS)p Fw(,)g Fq(LUCELL)p
46952 Fw(,)g Fq(LUJMAS)g Fw(and)f Fq(LUFOWO)h Fw(giv)m(e)e(y)m(ou)h(the)g(p)s
46953 (ossi-)0 2526 y(bilit)m(y)20 b(to)i(\014nd)h(some)f(global)e(ev)m(en)m
46954 (t)k(shap)s(e)f(prop)s(erties.)40 b(The)23 b(routine)f
46955 Fq(LUTABU)i Fw(p)s(erforms)e(a)g(statistical)0 2634 y(analysis)37
46956 b(of)g(a)g(n)m(um)m(b)s(er)h(of)f(di\013eren)m(t)g(quan)m(tities)h(lik)
46957 m(e)e(particle)g(con)m(ten)m(t,)k(factorial)35 b(momen)m(ts)i(and)0
46958 2743 y(the)c(energy{energy)h(correlation.)146 2851 y(Note)29
46959 b(that,)g(b)m(y)g(default,)f(all)e(remaining)g(partons/particles)h
46960 (except)j(neutrinos)e(are)g(used)i(in)d(the)0 2959 y(analysis.)52
46961 b(Neutrinos)36 b(ma)m(y)g(b)s(e)g(included)f(with)g Fq(MSTU\(41\)=1)p
46962 Fw(.)56 b(Also)35 b(note)h(that)g(axes)h(determined)0
46963 3068 y(are)g(stored)g(in)f Fq(LUJETS)p Fw(,)i(but)f(are)f(not)h(prop)s
46964 (er)f(four-v)m(ectors)i(and,)f(as)g(a)f(general)g(rule)g(\(with)h(some)
46965 0 3176 y(exceptions\),)d(should)e(therefore)h(not)g(b)s(e)g(rotated)f
46966 (or)g(b)s(o)s(osted.)p 0 3326 1184 9 v 0 3551 9 225 v
46967 79 3466 a Fq(CALL)52 b(LUSPHE\(SPH,APL\))p 1175 3551
46968 V 0 3559 1184 9 v 0 3691 a Fo(Purp)s(ose:)c Fw(to)35
46969 b(diagonalize)f(the)i(momen)m(tum)f(tensor,)i(i.e.)54
46970 b(\014nd)36 b(the)h(eigen)m(v)-5 b(alues)36 b Fj(\025)3235
46971 3706 y Fl(1)3307 3691 y Fj(>)e(\025)3474 3706 y Fl(2)3547
46972 3691 y Fj(>)f(\025)3713 3706 y Fl(3)3752 3691 y Fw(,)472
46973 3799 y(with)g(sum)f(unit)m(y)-8 b(,)33 b(and)f(the)h(corresp)s(onding)g
46974 (eigen)m(v)m(ectors.)472 3907 y(Momen)m(tum)40 b(p)s(o)m(w)m(er)h(dep)s
46975 (endence)h(is)e(giv)m(en)g(b)m(y)i Fq(PARU\(41\))p Fw(;)k(default)39
46976 b(corresp)s(onds)j(to)472 4016 y(sphericit)m(y)-8 b(,)40
46977 b Fq(PARU\(41\)=1.)62 b Fw(giv)m(es)38 b(measures)g(linear)e(in)h
46978 (momen)m(ta.)58 b(Whic)m(h)38 b(particles)472 4124 y(\(or)33
46979 b(partons\))f(are)h(used)h(in)d(the)i(analysis)f(is)g(determined)h(b)m
46980 (y)g(the)g Fq(MSTU\(41\))i Fw(v)-5 b(alue.)0 4232 y Fq(SPH)52
46981 b(:)482 4193 y Fl(3)p 482 4209 36 4 v 482 4267 a(2)528
46982 4232 y Fw(\()p Fj(\025)623 4247 y Fl(2)684 4232 y Fw(+)22
46983 b Fj(\025)839 4247 y Fl(3)878 4232 y Fw(\),)33 b(i.e.)43
46984 b(sphericit)m(y)33 b(\(for)f Fq(PARU\(41\)=2.)p Fw(\).)236
46985 4341 y Fq(=)52 b(-1.)103 b(:)63 b Fw(analysis)38 b(not)g(p)s(erformed)g
46986 (b)s(ecause)i(ev)m(en)m(t)h(con)m(tained)d(less)h(than)g(t)m(w)m(o)g
46987 (particles)709 4449 y(\(or)34 b(t)m(w)m(o)h(exactly)g(bac)m(k-to-bac)m
46988 (k)g(particles,)g(in)f(whic)m(h)h(case)g(the)g(t)m(w)m(o)g(transv)m
46989 (erse)709 4557 y(directions)d(w)m(ould)g(b)s(e)h(unde\014ned\).)0
46990 4666 y Fq(APL)52 b(:)482 4626 y Fl(3)p 482 4642 V 482
46991 4700 a(2)528 4666 y Fj(\025)585 4681 y Fl(3)624 4666
46992 y Fw(,)33 b(i.e.)43 b(aplanarit)m(y)31 b(\(for)h Fq(PARU\(41\)=2.)p
46993 Fw(\).)236 4774 y Fq(=)52 b(-1.)103 b(:)63 b Fw(as)32
46994 b Fq(SPH=-1.)p Fw(.)0 4882 y Fo(Remark:)53 b Fw(the)45
46995 b(lines)d Fq(N+1)j Fw(through)f Fq(N+3)g Fw(\()p Fq(N-2)g
46996 Fw(through)g Fq(N)g Fw(for)f Fq(MSTU\(43\)=2)p Fw(\))j(in)d
46997 Fq(LUJETS)j Fw(will,)472 4991 y(after)33 b(a)f(call,)f(con)m(tain)h
46998 (the)h(follo)m(wing)d(information:)472 5099 y Fq(K\(N+i,1\))54
46999 b(=)33 b Fw(31;)472 5207 y Fq(K\(N+i,2\))54 b(=)33 b
47000 Fw(95;)472 5316 y Fq(K\(N+i,3\))54 b(:)43 b Fj(i)p Fw(,)33
47001 b(the)g(axis)g(n)m(um)m(b)s(er,)g Fj(i)28 b Fw(=)f(1)p
47002 Fj(;)17 b Fw(2)p Fj(;)g Fw(3;)472 5424 y Fq(K\(N+i,4\),)54
47003 b(K\(N+i,5\))f(=)33 b Fw(0;)472 5532 y Fq(P\(N+i,1\))54
47004 b(-)d(P\(N+i,3\))j(:)43 b Fw(the)33 b Fj(i)p Fw('th)g(eigen)m(v)m
47005 (ector,)h Fj(x)p Fw(,)f Fj(y)j Fw(and)d Fj(z)k Fw(comp)s(onen)m(ts;)472
47006 5641 y Fq(P\(N+i,4\))54 b(:)43 b Fj(\025)1085 5656 y
47007 Fh(i)1114 5641 y Fw(,)32 b(the)h Fj(i)p Fw('th)g(eigen)m(v)-5
47008 b(alue;)1817 5953 y(301)p eop
47009 %%Page: 302 308
47010 302 307 bop 472 -18 a Fq(P\(N+i,5\))54 b(=)33 b Fw(0;)472
47011 90 y Fq(V\(N+i,1\))54 b(-)d(V\(N+i,5\))j(=)33 b Fw(0.)472
47012 198 y(Also,)g(the)g(n)m(um)m(b)s(er)g(of)f(particles)f(used)j(in)e(the)
47013 h(analysis)f(is)g(giv)m(en)h(in)e Fq(MSTU\(62\))p Fw(.)p
47014 0 343 1184 9 v 0 567 9 225 v 79 483 a Fq(CALL)52 b(LUTHRU\(THR,OBL\))p
47015 1175 567 V 0 575 1184 9 v 0 707 a Fo(Purp)s(ose:)c Fw(to)42
47016 b(\014nd)i(the)f(thrust,)k(ma)5 b(jor)41 b(and)j(minor)d(axes)j(and)f
47017 (corresp)s(onding)g(pro)5 b(jected)44 b(mo-)472 816 y(men)m(tum)38
47018 b(quan)m(tities,)h(in)e(particular)f(thrust)i(and)g(oblateness.)60
47019 b(The)39 b(p)s(erformance)e(of)472 924 y(the)d(program)f(is)g
47020 (a\013ected)h(b)m(y)i Fq(MSTU\(44\))p Fw(,)g Fq(MSTU\(45\))p
47021 Fw(,)g Fq(PARU\(42\))f Fw(and)f Fq(PARU\(48\))p Fw(.)48
47022 b(In)472 1032 y(particular,)30 b Fq(PARU\(42\))i Fw(giv)m(es)f(the)f
47023 (momen)m(tum)f(dep)s(endence,)34 b(with)c(the)g(default)g(v)-5
47024 b(alue)472 1141 y Fq(=1.)42 b Fw(corresp)s(onding)25
47025 b(to)f(linear)f(dep)s(endence.)43 b(Whic)m(h)25 b(particles)f(\(or)h
47026 (partons\))g(are)f(used)472 1249 y(in)32 b(the)h(analysis)f(is)g
47027 (determined)h(b)m(y)g(the)g Fq(MSTU\(41\))i Fw(v)-5 b(alue.)0
47028 1357 y Fq(THR)52 b(:)216 b Fw(thrust)34 b(\(for)e Fq(PARU\(42\)=1.)p
47029 Fw(\).)236 1466 y Fq(=)52 b(-1.)103 b(:)63 b Fw(analysis)32
47030 b(not)g(p)s(erformed)g(b)s(ecause)i(ev)m(en)m(t)g(con)m(tained)f(less)g
47031 (than)g(t)m(w)m(o)g(particles.)236 1574 y Fq(=)52 b(-2.)103
47032 b(:)63 b Fw(remaining)21 b(space)j(in)e Fq(LUJETS)j Fw(\(partly)e(used)
47033 h(as)g(w)m(orking)f(area\))g(not)g(large)f(enough)709
47034 1682 y(to)32 b(allo)m(w)f(analysis.)0 1791 y Fq(OBL)52
47035 b(:)216 b Fw(oblateness)34 b(\(for)e Fq(PARU\(42\)=1.)p
47036 Fw(\).)236 1899 y Fq(=)52 b(-1.,)g(-2.)103 b(:)48 b Fw(as)33
47037 b(for)f Fq(THR)p Fw(.)0 2007 y Fo(Remark:)53 b Fw(the)45
47038 b(lines)d Fq(N+1)j Fw(through)f Fq(N+3)g Fw(\()p Fq(N-2)g
47039 Fw(through)g Fq(N)g Fw(for)f Fq(MSTU\(43\)=2)p Fw(\))j(in)d
47040 Fq(LUJETS)j Fw(will,)472 2116 y(after)33 b(a)f(call,)f(con)m(tain)h
47041 (the)h(follo)m(wing)d(information:)472 2224 y Fq(K\(N+i,1\))54
47042 b(=)33 b Fw(31;)472 2332 y Fq(K\(N+i,2\))54 b(=)33 b
47043 Fw(96;)472 2441 y Fq(K\(N+i,3\))54 b(:)43 b Fj(i)p Fw(,)33
47044 b(the)g(axis)g(n)m(um)m(b)s(er,)g Fj(i)28 b Fw(=)f(1)p
47045 Fj(;)17 b Fw(2)p Fj(;)g Fw(3;)472 2549 y Fq(K\(N+i,4\),)54
47046 b(K\(N+i,5\))f(=)33 b Fw(0;)472 2657 y Fq(P\(N+i,1\))54
47047 b(-)d(P\(N+i,3\))j(:)g Fw(the)38 b(thrust,)i(ma)5 b(jor)36
47048 b(and)i(minor)e(axis,)j(resp)s(ectiv)m(ely)-8 b(,)40
47049 b(for)472 2766 y Fj(i)28 b Fw(=)g(1)p Fj(;)17 b Fw(2)32
47050 b(and)g(3;)472 2874 y Fq(P\(N+i,4\))54 b(:)43 b Fw(corresp)s(onding)33
47051 b(thrust,)g(ma)5 b(jor)32 b(and)g(minor)f(v)-5 b(alue;)472
47052 2982 y Fq(P\(N+i,5\))54 b(=)33 b Fw(0;)472 3091 y Fq(V\(N+i,1\))54
47053 b(-)d(V\(N+i,5\))j(=)33 b Fw(0.)472 3199 y(Also,)g(the)g(n)m(um)m(b)s
47054 (er)g(of)f(particles)f(used)j(in)e(the)h(analysis)f(is)g(giv)m(en)h(in)
47055 e Fq(MSTU\(62\))p Fw(.)p 0 3343 1030 9 v 0 3563 9 220
47056 v 79 3483 a Fq(CALL)52 b(LUCLUS\(NJET\))p 1022 3563 V
47057 0 3571 1030 9 v 0 3703 a Fo(Purp)s(ose:)c Fw(to)c(reconstruct)i(an)e
47058 (arbitrary)g(n)m(um)m(b)s(er)h(of)f(jets)h(using)f(a)g(cluster)h
47059 (analysis)f(metho)s(d)472 3811 y(based)34 b(on)e(particle)g(momen)m
47060 (ta.)472 3919 y(Three)40 b(di\013eren)m(t)e(distance)g(measures)h(are)f
47061 (a)m(v)-5 b(ailable,)37 b(see)i(section)f(15.2.)59 b(The)39
47062 b(c)m(hoice)472 4028 y(is)c(con)m(trolled)f(b)m(y)k Fq(MSTU\(46\))p
47063 Fw(.)53 b(The)36 b(distance)g(scale)f Fj(d)2529 4043
47064 y Fl(join)2648 4028 y Fw(,)h(ab)s(o)m(v)m(e)g(whic)m(h)g(t)m(w)m(o)g
47065 (clusters)472 4136 y(ma)m(y)j(not)f(b)s(e)h(joined,)h(is)e(normally)e
47066 (giv)m(en)j(b)m(y)i Fq(PARU\(44\))p Fw(.)63 b(In)39 b(general,)h
47067 Fj(d)3304 4151 y Fl(join)3462 4136 y Fw(ma)m(y)e(b)s(e)472
47068 4244 y(v)-5 b(aried)31 b(to)g(describ)s(e)g(di\013eren)m(t)g
47069 (`jet-resolution)f(p)s(o)m(w)m(ers';)j(the)f(default)e(v)-5
47070 b(alue,)31 b(2.5)f(GeV,)472 4353 y(is)h(fairly)f(w)m(ell)g(suited)h
47071 (for)g(e)1496 4317 y Fl(+)1555 4353 y Fw(e)1598 4317
47072 y Fk(\000)1689 4353 y Fw(ph)m(ysics)i(at)e(30{40)f(GeV.)h(With)f(the)i
47073 (alternativ)m(e)f(mass)472 4461 y(distance)h(measure,)f
47074 Fq(PARU\(44\))i Fw(can)e(b)s(e)g(used)h(to)e(set)i(the)f(absolute)g
47075 (maxim)m(um)d(cluster)472 4569 y(mass,)j(or)f Fq(PARU\(45\))i
47076 Fw(to)d(set)i(the)f(scaled)h(one,)g(i.e.)42 b(in)29 b
47077 Fj(y)i Fw(=)c Fj(m)2760 4533 y Fl(2)2800 4569 y Fj(=E)2927
47078 4533 y Fl(2)2921 4594 y(cm)3015 4569 y Fw(,)k(where)g
47079 Fj(E)3424 4584 y Fl(cm)3549 4569 y Fw(is)e(the)472 4678
47080 y(total)i(in)m(v)-5 b(arian)m(t)32 b(mass)g(of)g(the)h(particles)f(b)s
47081 (eing)g(considered.)472 4786 y(It)47 b(is)e(p)s(ossible)g(to)h(con)m
47082 (tin)m(ue)h(the)f(cluster)g(searc)m(h)i(from)c(the)j(con\014guration)e
47083 (already)472 4894 y(found,)57 b(with)51 b(a)g(new)i(higher)e
47084 Fj(d)1726 4909 y Fl(join)1897 4894 y Fw(scale,)56 b(b)m(y)c(selecting)h
47085 Fq(MSTU\(48\))g Fw(prop)s(erly)-8 b(.)100 b(In)472 5003
47086 y Fq(MSTU\(47\))32 b Fw(one)e(can)g(also)e(require)i(a)f(minim)m(um)e
47087 (n)m(um)m(b)s(er)i(of)g(jets)i(to)e(b)s(e)g(reconstructed;)472
47088 5111 y(com)m(bined)k(with)g(an)g(arti\014cially)c(large)j
47089 Fj(d)2021 5126 y Fl(join)2174 5111 y Fw(this)g(can)i(b)s(e)f(used)h(to)
47090 e(reconstruct)j(a)e(pre-)472 5219 y(determined)g(n)m(um)m(b)s(er)g(of)f
47091 (jets.)472 5328 y(Whic)m(h)46 b(particles)e(\(or)g(partons\))h(are)g
47092 (used)h(in)e(the)h(analysis)f(is)h(determined)f(b)m(y)i(the)472
47093 5436 y Fq(MSTU\(41\))62 b Fw(v)-5 b(alue,)67 b(whereas)61
47094 b(assumptions)f(ab)s(out)g(particle)e(masses)j(is)e(giv)m(en)i(b)m(y)
47095 472 5544 y Fq(MSTU\(42\))p Fw(.)h(The)38 b(parameters)g
47096 Fq(PARU\(43\))i Fw(and)e Fq(PARU\(48\))i Fw(regulate)d(more)g(tec)m
47097 (hnical)472 5653 y(details)27 b(\(for)f(ev)m(en)m(ts)k(at)d(high)g
47098 (energies)h(and)f(large)f(m)m(ultiplicities,)e(ho)m(w)m(ev)m(er,)31
47099 b(the)d(c)m(hoice)1817 5953 y(302)p eop
47100 %%Page: 303 309
47101 303 308 bop 472 -18 a Fw(of)44 b(a)f(larger)g Fq(PARU\(43\))j
47102 Fw(ma)m(y)d(b)s(e)h(necessary)i(to)e(obtain)e(reasonable)i
47103 (reconstruction)472 90 y(times\).)0 198 y Fq(NJET)52
47104 b(:)165 b Fw(the)33 b(n)m(um)m(b)s(er)g(of)g(clusters)g(reconstructed.)
47105 236 307 y Fq(=)52 b(-1)g(:)165 b Fw(analysis)25 b(not)h(p)s(erformed)g
47106 (b)s(ecause)i(ev)m(en)m(t)g(con)m(tained)e(less)h(than)f
47107 Fq(MSTU\(47\))i Fw(\(nor-)709 415 y(mally)e(1\))i(particles,)h(or)f
47108 (analysis)g(failed)e(to)j(reconstruct)g(the)g(requested)i(n)m(um)m(b)s
47109 (er)709 523 y(of)h(jets.)236 632 y Fq(=)52 b(-2)g(:)165
47110 b Fw(remaining)21 b(space)j(in)e Fq(LUJETS)j Fw(\(partly)e(used)h(as)g
47111 (w)m(orking)f(area\))g(not)g(large)f(enough)709 740 y(to)32
47112 b(allo)m(w)f(analysis.)0 848 y Fo(Remark:)53 b Fw(if)g(the)i(analysis)e
47113 (do)s(es)i(not)f(fail,)j(further)e(information)c(is)i(found)i(in)e
47114 Fq(MSTU\(61\))g(-)472 957 y(MSTU\(63\))43 b Fw(and)d
47115 Fq(PARU\(61\))53 b(-)f(PARU\(63\))p Fw(.)68 b(In)41 b(particular,)f
47116 Fq(PARU\(61\))j Fw(con)m(tains)d(the)472 1065 y(in)m(v)-5
47117 b(arian)m(t)35 b(mass)i(for)f(the)g(system)i(analyzed,)f(i.e.)54
47118 b(the)37 b(n)m(um)m(b)s(er)g(used)h(in)d(determining)472
47119 1173 y(the)j(denominator)e(of)g Fj(y)j Fw(=)c Fj(m)1617
47120 1137 y Fl(2)1657 1173 y Fj(=E)1784 1137 y Fl(2)1778 1198
47121 y(cm)1873 1173 y Fw(.)57 b Fq(PARU\(62\))39 b Fw(giv)m(es)f(the)f
47122 (generalized)g(thrust,)i(i.e.)472 1282 y(the)34 b(sum)f(of)g
47123 (\(absolute)g(v)-5 b(alues)33 b(of)7 b(\))32 b(cluster)i(momen)m(ta)e
47124 (divided)h(b)m(y)h(the)f(sum)g(of)g(parti-)472 1390 y(cle)38
47125 b(momen)m(ta)f(\(roughly)h(the)g(same)g(as)g(m)m(ulticit)m(y\).)59
47126 b Fq(PARU\(63\))40 b Fw(giv)m(es)e(the)h(minim)m(um)472
47127 1498 y(distance)31 b Fj(d)e Fw(\(in)g Fj(p)1128 1513
47128 y Fk(?)1217 1498 y Fw(or)g Fj(m)p Fw(\))h(b)s(et)m(w)m(een)i(t)m(w)m(o)
47129 e(clusters)h(in)e(the)h(\014nal)f(cluster)h(con\014guration,)472
47130 1607 y(0)j(in)f(case)h(of)f(only)g(one)h(cluster.)472
47131 1715 y(F)-8 b(urther,)34 b(the)g(lines)e Fq(N+1)j Fw(through)e
47132 Fq(N+NJET)i Fw(\()p Fq(N-NJET+1)g Fw(through)f Fq(N)f
47133 Fw(for)g Fq(MSTU\(43\)=2)p Fw(\))472 1823 y(in)f Fq(LUJETS)i
47134 Fw(will,)d(after)h(a)g(call,)f(con)m(tain)h(the)h(follo)m(wing)d
47135 (information:)472 1932 y Fq(K\(N+i,1\))54 b(=)33 b Fw(31;)472
47136 2040 y Fq(K\(N+i,2\))54 b(=)33 b Fw(97;)472 2148 y Fq(K\(N+i,3\))54
47137 b(:)43 b Fj(i)p Fw(,)32 b(the)g(jet)g(n)m(um)m(b)s(er,)g(with)f(the)h
47138 (jets)g(arranged)g(in)f(falling)d(order)k(of)f(abso-)472
47139 2257 y(lute)i(momen)m(tum;)472 2365 y Fq(K\(N+i,4\))54
47140 b(:)43 b Fw(the)33 b(n)m(um)m(b)s(er)g(of)g(particles)e(assigned)i(to)f
47141 (jet)h Fj(i)p Fw(;)472 2473 y Fq(K\(N+i,5\))54 b(=)33
47142 b Fw(0;)472 2582 y Fq(P\(N+i,1\))54 b(-)d(P\(N+i,5\))j(:)43
47143 b Fw(momen)m(tum,)32 b(energy)h(and)g(in)m(v)-5 b(arian)m(t)31
47144 b(mass)i(of)f(jet)g Fj(i)p Fw(;)472 2690 y Fq(V\(N+i,1\))54
47145 b(-)d(V\(N+i,5\))j(=)33 b Fw(0.)472 2798 y(Also,)g(for)g(a)g(particle)e
47146 (whic)m(h)j(w)m(as)g(used)g(in)f(the)g(analysis,)g Fq(K\(I,4\))p
47147 Fw(=)d Fj(i)p Fw(,)k(where)g Fq(I)f Fw(is)g(the)472 2907
47148 y(particle)40 b(n)m(um)m(b)s(er)i(and)g Fj(i)f Fw(the)h(n)m(um)m(b)s
47149 (er)g(of)e(the)i(jet)f(it)g(has)g(b)s(en)h(assigned)g(to.)69
47150 b(Unde-)472 3015 y(ca)m(y)m(ed)37 b(particles)d(not)g(used)i(then)g(ha)
47151 m(v)m(e)g Fq(K\(I,4\)=0)p Fw(.)52 b(An)35 b(exception)g(is)g(made)f
47152 (for)g(lines)472 3123 y(with)28 b Fq(K\(I,1\)=3)i Fw(\(whic)m(h)e(an)m
47153 (yho)m(w)h(are)f(not)g(normally)d(in)m(teresting)j(for)f(cluster)h
47154 (searc)m(h\),)472 3232 y(where)34 b(the)f(colour-\015o)m(w)f
47155 (information)e(stored)j(in)f Fq(K\(I,4\))i Fw(is)e(left)f(in)m(tact.)p
47156 0 3371 1030 9 v 0 3590 9 220 v 79 3511 a Fq(CALL)52 b(LUCELL\(NJET\))p
47157 1022 3590 V 0 3598 1030 9 v 0 3730 a Fo(Purp)s(ose:)c
47158 Fw(to)36 b(pro)m(vide)g(a)g(simpler)e(cluster)j(routine)e(more)h(in)f
47159 (line)g(with)g(what)i(is)e(curren)m(tly)i(used)472 3838
47160 y(in)32 b(the)h(study)h(of)e(high-)p Fj(p)1401 3853 y
47161 Fk(?)1491 3838 y Fw(collider)f(ev)m(en)m(ts.)472 3946
47162 y(A)42 b(detector)g(is)f(assumed)h(to)f(stretc)m(h)h(in)f
47163 (pseudorapidit)m(y)g(b)s(et)m(w)m(een)j Fq(-PARU\(51\))f
47164 Fw(and)472 4055 y Fq(+PARU\(51\))j Fw(and)d(b)s(e)h(segmen)m(ted)g(in)f
47165 Fq(MSTU\(51\))i Fw(equally)e(large)f Fj(\021)k Fw(\(pseudorapidit)m
47166 (y\))472 4163 y(bins)37 b(and)f Fq(MSTU\(52\))j Fj(')d
47167 Fw(\(azim)m(uthal\))f(bins.)55 b(T)-8 b(ransv)m(erse)39
47168 b(energy)e Fj(E)3089 4178 y Fk(?)3185 4163 y Fw(for)f(undeca)m(y)m(ed)
47169 472 4271 y(en)m(tries)46 b(are)g(summed)f(up)g(in)g(eac)m(h)h(bin.)81
47170 b(F)-8 b(or)45 b Fq(MSTU\(53\))i Fw(non-zero,)i(the)d(energy)g(is)472
47171 4380 y(smeared)41 b(b)m(y)g(calorimetric)c(resolution)i(e\013ects,)k
47172 (cell)c(b)m(y)i(cell.)64 b(This)41 b(is)e(done)i(accord-)472
47173 4488 y(ing)35 b(to)h(a)g(Gaussian)f(distribution;)h(if)42
47174 b Fq(MSTU\(53\)=1)d Fw(the)d(standard)h(deviation)e(for)g(the)472
47175 4597 y Fj(E)544 4612 y Fk(?)649 4597 y Fw(is)46 b Fq(PARU\(55\))p
47176 Fn(\002)1246 4520 y(p)p 1331 4520 132 4 v 1331 4597 a
47177 Fj(E)1403 4612 y Fk(?)1463 4597 y Fw(,)j(if)i Fq(MSTU\(53\)=2)e
47178 Fw(the)d(standard)g(deviation)f(for)g(the)h Fj(E)52 b
47179 Fw(is)472 4716 y Fq(PARU\(55\))p Fn(\002)957 4632 y(p)p
47180 1043 4632 79 4 v 1043 4716 a Fj(E)6 b Fw(,)30 b Fj(E)1250
47181 4731 y Fk(?)1338 4716 y Fw(and)f Fj(E)35 b Fw(expressed)d(in)c(GeV.)h
47182 (The)g(Gaussian)g(is)f(cut)i(o\013)e(at)h(0)f(and)472
47183 4824 y(at)39 b(a)g(factor)g Fq(PARU\(56\))i Fw(times)e(the)h(correct)f
47184 Fj(E)2267 4839 y Fk(?)2366 4824 y Fw(or)g Fj(E)6 b Fw(.)63
47185 b(Cells)39 b(with)g(an)g Fj(E)3349 4839 y Fk(?)3448 4824
47186 y Fw(b)s(elo)m(w)g(a)472 4933 y(giv)m(en)c(threshold)g
47187 Fq(PARU\(58\))h Fw(are)f(remo)m(v)m(ed)g(from)e(further)i
47188 (consideration;)g(b)m(y)g(default)472 5041 y Fq(PARU\(58\)=0.)47
47189 b Fw(and)32 b(th)m(us)i(all)c(cells)i(are)h(k)m(ept.)472
47190 5149 y(All)38 b(bins)i(with)f Fj(E)1154 5164 y Fk(?)1253
47191 5149 y Fj(>)p Fq(PARU\(52\))j Fw(are)d(tak)m(en)i(to)e(b)s(e)h(p)s
47192 (ossible)f(initiators)e(of)i(jets,)j(and)472 5258 y(are)37
47193 b(tried)f(in)g(falling)d Fj(E)1365 5273 y Fk(?)1461 5258
47194 y Fw(sequence)39 b(to)d(c)m(hec)m(k)j(whether)f(the)f(total)e
47195 Fj(E)3118 5273 y Fk(?)3214 5258 y Fw(summed)h(o)m(v)m(er)472
47196 5392 y(cells)k(no)h(more)f(distan)m(t)g(than)g Fq(PARU\(54\))j
47197 Fw(in)2232 5292 y Fg(q)p 2315 5292 629 4 v 100 x Fw(\(\001)p
47198 Fj(\021)t Fw(\))2524 5363 y Fl(2)2585 5392 y Fw(+)22
47199 b(\(\001)p Fj(')p Fw(\))2904 5363 y Fl(2)2984 5392 y
47200 Fw(exceeds)43 b Fq(PARU\(53\))p Fw(.)472 5516 y(If)c(so,)i(these)g
47201 (cells)d(de\014ne)i(one)f(jet,)i(and)e(are)g(remo)m(v)m(ed)h(from)e
47202 (further)h(consideration.)472 5624 y(Con)m(trary)29 b(to)f
47203 Fq(LUCLUS)p Fw(,)i(not)e(all)f(particles)g(need)i(b)s(e)g(assigned)f
47204 (to)g(jets.)43 b(Whic)m(h)28 b(particles)1817 5953 y(303)p
47205 eop
47206 %%Page: 304 310
47207 304 309 bop 472 -18 a Fw(\(or)33 b(partons\))f(are)h(used)h(in)d(the)i
47208 (analysis)f(is)g(determined)h(b)m(y)g(the)g Fq(MSTU\(41\))i
47209 Fw(v)-5 b(alue.)0 90 y Fq(NJET)52 b(:)165 b Fw(the)33
47210 b(n)m(um)m(b)s(er)g(of)g(jets)g(reconstructed)h(\(ma)m(y)e(b)s(e)h
47211 (0\).)236 198 y Fq(=)52 b(-2)g(:)165 b Fw(remaining)21
47212 b(space)j(in)e Fq(LUJETS)j Fw(\(partly)e(used)h(as)g(w)m(orking)f
47213 (area\))g(not)g(large)f(enough)709 307 y(to)32 b(allo)m(w)f(analysis.)0
47214 415 y Fo(Remark:)53 b Fw(the)28 b(lines)d Fq(N+1)j Fw(through)e
47215 Fq(N+NJET)j Fw(\()p Fq(N-NJET+1)f Fw(through)f Fq(N)g
47216 Fw(for)f Fq(MSTU\(43\)=2)p Fw(\))j(in)d Fq(LUJETS)472
47217 523 y Fw(will,)31 b(after)h(a)g(call,)f(con)m(tain)h(the)h(follo)m
47218 (wing)d(information:)472 632 y Fq(K\(N+i,1\))54 b(=)33
47219 b Fw(31;)472 740 y Fq(K\(N+i,2\))54 b(=)33 b Fw(98;)472
47220 848 y Fq(K\(N+i,3\))54 b(:)43 b Fj(i)p Fw(,)33 b(the)g(jet)g(n)m(um)m
47221 (b)s(er,)g(with)f(the)h(jets)g(arranged)g(in)f(falling)d(order)k(in)e
47222 Fj(E)3643 863 y Fk(?)3703 848 y Fw(;)472 957 y Fq(K\(N+i,4\))54
47223 b(:)43 b Fw(the)33 b(n)m(um)m(b)s(er)g(of)g(particles)e(assigned)i(to)f
47224 (jet)h Fj(i)p Fw(;)472 1065 y Fq(K\(N+i,5\))54 b(=)33
47225 b Fw(0;)472 1173 y Fq(V\(N+i,1\))54 b(-)d(V\(N+i,5\))j(=)33
47226 b Fw(0.)472 1282 y(F)-8 b(urther,)33 b(for)f Fq(MSTU\(54\)=1)472
47227 1390 y(P\(N+i,1\),)54 b(P\(N+i,2\))f(=)38 b Fw(p)s(osition)d(in)i
47228 Fj(\021)j Fw(and)e Fj(')f Fw(of)f(the)i(cen)m(ter)g(of)f(the)h(jet)f
47229 (initiator)472 1498 y(cell,)32 b(i.e.)43 b(geometrical)30
47230 b(cen)m(ter)k(of)e(jet;)472 1607 y Fq(P\(N+i,3\),)54
47231 b(P\(N+i,4\))f(=)34 b Fw(p)s(osition)d(in)i Fj(\021)k
47232 Fw(and)c Fj(')g Fw(of)g(the)h Fj(E)2743 1622 y Fk(?)2802
47233 1607 y Fw(-w)m(eigh)m(ted)g(cen)m(ter)g(of)f(the)472
47234 1715 y(jet,)g(i.e.)43 b(the)33 b(cen)m(ter)h(of)e(gra)m(vit)m(y)h(of)f
47235 (the)h(jet;)472 1823 y Fq(P\(N+i,5\))54 b(=)33 b Fw(sum)f
47236 Fj(E)1296 1838 y Fk(?)1388 1823 y Fw(of)g(the)h(jet;)472
47237 1932 y(while)f(for)g Fq(MSTU\(54\)=2)472 2040 y(P\(N+i,1\))54
47238 b(-)d(P\(N+i,5\))j(:)80 b Fw(the)52 b(jet)f(momen)m(tum)e(v)m(ector,)57
47239 b(constructed)52 b(from)e(the)472 2148 y(summed)33 b
47240 Fj(E)930 2163 y Fk(?)1022 2148 y Fw(and)f(the)h Fj(\021)j
47241 Fw(and)d Fj(')g Fw(of)f(the)h Fj(E)2101 2163 y Fk(?)2160
47242 2148 y Fw(-w)m(eigh)m(ted)g(cen)m(ter)h(of)e(the)h(jet)g(as)472
47243 2257 y(\()p Fj(p)559 2272 y Fh(x)603 2257 y Fj(;)17 b(p)696
47244 2272 y Fh(y)737 2257 y Fj(;)g(p)830 2272 y Fh(z)870 2257
47245 y Fj(;)g(E)6 b(;)17 b(m)p Fw(\))27 b(=)h Fj(E)1362 2272
47246 y Fk(?)1421 2257 y Fw(\(cos)17 b Fj(';)g Fw(sin)f Fj(';)h
47247 Fw(sinh)f Fj(\021)t(;)h Fw(cosh)g Fj(\021)t(;)g Fw(0\);)472
47248 2365 y(and)33 b(for)f Fq(MSTU\(54\)=3)472 2473 y(P\(N+i,1\))54
47249 b(-)d(P\(N+i,5\))j(:)66 b Fw(the)45 b(jet)f(momen)m(tum)f(v)m(ector,)48
47250 b(constructed)d(b)m(y)g(adding)472 2582 y(v)m(ectorially)24
47251 b(the)h(momen)m(tum)e(of)h(eac)m(h)i(cell)d(assigned)i(to)g(the)g(jet,)
47252 h(assuming)e(that)g(all)f(the)472 2690 y Fj(E)544 2705
47253 y Fk(?)635 2690 y Fw(w)m(as)31 b(dep)s(osited)h(at)e(the)h(cen)m(ter)i
47254 (of)d(the)h(cell,)g(and)g(with)f(the)h(jet)g(mass)g(in)f
47255 Fq(P\(N+i,5\))472 2798 y Fw(calculated)i(from)f(the)i(summed)g
47256 Fj(E)38 b Fw(and)33 b Fo(p)g Fw(as)g Fj(m)2317 2762 y
47257 Fl(2)2384 2798 y Fw(=)28 b Fj(E)2566 2762 y Fl(2)2627
47258 2798 y Fn(\000)23 b Fj(p)2776 2762 y Fl(2)2776 2823 y
47259 Fh(x)2842 2798 y Fn(\000)f Fj(p)2990 2762 y Fl(2)2990
47260 2823 y Fh(y)3054 2798 y Fn(\000)h Fj(p)3203 2762 y Fl(2)3203
47261 2823 y Fh(z)3242 2798 y Fw(.)472 2907 y(Also,)39 b(the)f(n)m(um)m(b)s
47262 (er)g(of)g(particles)f(used)i(in)e(the)h(analysis)f(is)g(giv)m(en)h(in)
47263 f Fq(MSTU\(62\))p Fw(,)k(and)472 3015 y(the)33 b(n)m(um)m(b)s(er)g(of)g
47264 (cells)e(hit)h(in)g Fq(MSTU\(63\))p Fw(.)p 0 3148 1184
47265 9 v 0 3373 9 225 v 79 3288 a Fq(CALL)52 b(LUJMAS\(PMH,PML\))p
47266 1175 3373 V 0 3381 1184 9 v 0 3513 a Fo(Purp)s(ose:)c
47267 Fw(to)f(reconstruct)h(high)f(and)g(lo)m(w)g(jet)g(mass)h(of)e(an)i(ev)m
47268 (en)m(t.)89 b(A)47 b(simpli\014ed)f(algorithm)472 3621
47269 y(is)41 b(used,)i(wherein)f(a)e(preliminary)e(division)h(of)h(the)h(ev)
47270 m(en)m(t)h(in)m(to)e(t)m(w)m(o)h(hemispheres)h(is)472
47271 3730 y(done)37 b(transv)m(ersely)h(to)f(the)f(sphericit)m(y)h(axis.)55
47272 b(Then)38 b(one)e(particle)f(at)h(a)g(time)g(is)f(reas-)472
47273 3838 y(signed)h(to)g(the)g(other)g(hemisphere)h(if)d(that)i(reduces)i
47274 (the)e(sum)g(of)f(squares)j(of)d(the)i(t)m(w)m(o)472
47275 3946 y(jet)i(masses,)i Fj(m)1063 3910 y Fl(2)1063 3971
47276 y(H)1147 3946 y Fw(+)26 b Fj(m)1334 3910 y Fl(2)1334
47277 3971 y(L)1382 3946 y Fw(.)62 b(The)39 b(pro)s(cedure)h(is)e(stopp)s(ed)
47278 h(when)h(no)e(further)h(signi\014can)m(t)472 4055 y(c)m(hange)34
47279 b(\(see)g Fq(PARU\(48\))p Fw(\))h(is)d(obtained.)44 b(Often,)33
47280 b(the)g(original)d(assignmen)m(t)i(is)h(retained)472
47281 4163 y(as)41 b(it)f(is.)68 b(Whic)m(h)41 b(particles)f(\(or)h
47282 (partons\))g(used)h(in)e(the)h(analysis)f(is)h(determined)g(b)m(y)472
47283 4271 y(the)h Fq(MSTU\(41\))h Fw(v)-5 b(alue,)42 b(whereas)h
47284 (assumptions)d(ab)s(out)h(particle)e(masses)j(is)f(giv)m(en)g(b)m(y)472
47285 4380 y Fq(MSTU\(42\))p Fw(.)0 4488 y Fq(PMH)52 b(:)216
47286 b Fw(hea)m(vy)35 b(jet)d(mass)h(\(in)e(GeV\).)236 4597
47287 y Fq(=)52 b(-2.)103 b(:)63 b Fw(remaining)21 b(space)j(in)e
47288 Fq(LUJETS)j Fw(\(partly)e(used)h(as)g(w)m(orking)f(area\))g(not)g
47289 (large)f(enough)709 4705 y(to)32 b(allo)m(w)f(analysis.)0
47290 4813 y Fq(PML)52 b(:)216 b Fw(ligh)m(t)31 b(jet)i(mass)g(\(in)e(GeV\).)
47291 236 4922 y Fq(=)52 b(-2.)103 b(:)63 b Fw(as)32 b(for)g
47292 Fq(PMH=-2.)p Fw(.)0 5030 y Fo(Remark:)53 b Fw(After)33
47293 b(a)f(successful)j(call,)c Fq(MSTU\(62\))j Fw(con)m(tains)f(the)g(n)m
47294 (um)m(b)s(er)g(of)f(particles)g(used)h(in)f(the)472 5138
47295 y(analysis,)f(and)h Fq(PARU\(61\))h Fw(the)f(in)m(v)-5
47296 b(arian)m(t)29 b(mass)j(of)e(the)i(system)g(analyzed.)43
47297 b(The)32 b(latter)472 5247 y(n)m(um)m(b)s(er)h(is)g(helpful)e(in)h
47298 (constructing)h(scaled)f(jet)h(masses.)p 0 5391 1594
47299 9 v 0 5616 9 225 v 79 5531 a Fq(CALL)52 b(LUFOWO\(H10,H20,H30,H40\))p
47300 1585 5616 V 0 5624 1594 9 v 1817 5953 a Fw(304)p eop
47301 %%Page: 305 311
47302 305 310 bop 0 -18 a Fo(Purp)s(ose:)48 b Fw(to)32 b(do)h(an)f(ev)m(en)m
47303 (t)j(analysis)d(in)f(terms)i(of)f(the)h(F)-8 b(o)m(x-W)g(olfram)30
47304 b(momen)m(ts.)43 b(The)34 b(momen)m(ts)472 90 y Fj(H)553
47305 105 y Fh(i)608 90 y Fw(are)27 b(normalized)d(to)i(the)h(lo)m(w)m(est)g
47306 (one,)i Fj(H)2102 105 y Fl(0)2141 90 y Fw(.)41 b(Whic)m(h)27
47307 b(particles)f(\(or)g(partons\))h(are)f(used)472 198 y(in)32
47308 b(the)h(analysis)f(is)g(determined)h(b)m(y)g(the)g Fq(MSTU\(41\))i
47309 Fw(v)-5 b(alue.)0 307 y Fq(H10)52 b(:)216 b Fj(H)553
47310 322 y Fl(1)593 307 y Fj(=H)723 322 y Fl(0)762 307 y Fw(.)43
47311 b(Is)33 b(=)28 b(0)k(if)g(momen)m(tum)f(is)h(balanced.)0
47312 415 y Fq(H20)52 b(:)216 b Fj(H)553 430 y Fl(2)593 415
47313 y Fj(=H)723 430 y Fl(0)762 415 y Fw(.)0 523 y Fq(H30)52
47314 b(:)216 b Fj(H)553 538 y Fl(3)593 523 y Fj(=H)723 538
47315 y Fl(0)762 523 y Fw(.)0 632 y Fq(H40)52 b(:)216 b Fj(H)553
47316 647 y Fl(4)593 632 y Fj(=H)723 647 y Fl(0)762 632 y Fw(.)0
47317 740 y Fo(Remark:)53 b Fw(the)33 b(n)m(um)m(b)s(er)g(of)g(particles)e
47318 (used)j(in)e(the)h(analysis)f(is)g(giv)m(en)h(in)e Fq(MSTU\(62\))p
47319 Fw(.)p 0 884 1082 9 v 0 1103 9 220 v 79 1024 a Fq(CALL)52
47320 b(LUTABU\(MTABU\))p 1073 1103 V 0 1111 1082 9 v 0 1243
47321 a Fo(Purp)s(ose:)c Fw(to)36 b(pro)m(vide)h(a)f(n)m(um)m(b)s(er)h(of)f
47322 (ev)m(en)m(t-analysis)h(options)f(whic)m(h)h(can)g(b)s(e)g(b)s(e)f
47323 (used)i(on)f(eac)m(h)472 1352 y(new)k(ev)m(en)m(t,)i(with)d(accum)m
47324 (ulated)f(statistics)g(to)h(b)s(e)f(written)h(out)g(on)f(request.)67
47325 b(When)472 1460 y(errors)39 b(are)f(quoted,)i(these)f(refer)f(to)g(the)
47326 g(uncertain)m(t)m(y)h(in)e(the)h(a)m(v)m(erage)h(v)-5
47327 b(alue)38 b(for)f(the)472 1568 y(ev)m(en)m(t)k(sample)c(as)h(a)g
47328 (whole,)i(rather)e(than)g(to)g(the)h(spread)g(of)f(the)g(individual)e
47329 (ev)m(en)m(ts,)472 1677 y(i.e.)87 b(errors)48 b(decrease)h(lik)m(e)d
47330 (one)h(o)m(v)m(er)i(the)e(square)h(ro)s(ot)f(of)f(the)i(n)m(um)m(b)s
47331 (er)f(of)g(ev)m(en)m(ts)472 1785 y(analyzed.)86 b(F)-8
47332 b(or)46 b(a)g(correct)h(use)g(of)53 b Fq(LUTABU)p Fw(,)48
47333 b(it)e(is)g(not)g(p)s(ermissible)f(to)h(freely)h(mix)472
47334 1893 y(generation)f(and)h(analysis)f(of)g(di\013eren)m(t)g(classes)i
47335 (of)e(ev)m(en)m(ts,)52 b(since)47 b(only)f(one)h(set)g(of)472
47336 2002 y(statistics)35 b(coun)m(ters)i(exists.)53 b(A)35
47337 b(single)f(run)i(ma)m(y)f(still)e(con)m(tain)i(sequen)m(tial)h
47338 (`subruns',)472 2110 y(b)s(et)m(w)m(een)f(whic)m(h)f(statistics)e(is)g
47339 (reset.)46 b(Whenev)m(er)35 b(an)e(ev)m(en)m(t)h(is)f(analyzed,)g(the)g
47340 (n)m(um)m(b)s(er)472 2219 y(of)g(particles/partons)e(used)j(is)e(giv)m
47341 (en)h(in)f Fq(MSTU\(62\))p Fw(.)0 2327 y Fq(MTABU)53
47342 b(:)113 b Fw(determines)47 b(whic)m(h)f(action)g(is)f(to)h(b)s(e)h(tak)
47343 m(en.)85 b(Generally)-8 b(,)48 b(a)e(last)g(digit)e(equal)i(to)g(0)472
47344 2435 y(indicates)40 b(that)f(the)h(statistics)g(coun)m(ters)h(for)e
47345 (this)g(option)g(is)g(to)h(b)s(e)f(reset;)45 b(since)40
47346 b(the)472 2544 y(coun)m(ters)c(are)e(reset)h(\(b)m(y)h
47347 Fq(DATA)f Fw(statemen)m(ts\))g(at)e(the)h(b)s(eginning)f(of)g(a)h(run,)
47348 h(this)e(is)h(not)472 2652 y(used)i(normally)-8 b(.)45
47349 b(Last)34 b(digit)e(1)i(leads)f(to)h(an)g(analysis)f(of)h(curren)m(t)h
47350 (ev)m(en)m(t)h(with)d(resp)s(ect)472 2760 y(to)i(the)f(desired)i(prop)s
47351 (erties.)49 b(Note)34 b(that)h(the)f(resulting)g(action)g(ma)m(y)g(dep)
47352 s(end)h(on)g(ho)m(w)472 2869 y(the)g(ev)m(en)m(t)h(generated)f(has)f(b)
47353 s(een)h(rotated,)f(b)s(o)s(osted)h(or)e(edited)h(b)s(efore)h(this)e
47354 (call.)47 b(The)472 2977 y(statistics)38 b(accum)m(ulated)f(is)g
47355 (output)h(in)f(tabular)g(form)f(with)i(last)f(digit)f(2,)i(while)f(it)g
47356 (is)472 3085 y(dump)s(ed)e(in)f(the)h Fq(LUJETS)h Fw(common)e(blo)s(c)m
47357 (k)g(for)h(last)e(digit)g(3.)50 b(The)35 b(latter)f(option)g(ma)m(y)472
47358 3194 y(b)s(e)f(useful)g(for)f(in)m(terfacing)f(to)h(graphics)h(output.)
47359 236 3302 y Fq(=)52 b(10)g(:)165 b Fw(statistics)32 b(on)g(parton)h(m)m
47360 (ultiplicit)m(y)c(is)j(reset.)236 3410 y Fq(=)52 b(11)g(:)165
47361 b Fw(the)35 b(parton)g(con)m(ten)m(t)h(of)e(the)h(curren)m(t)h(ev)m(en)
47362 m(t)h(is)e(analyzed,)g(classi\014ed)g(according)709 3519
47363 y(to)23 b(the)h(\015a)m(v)m(our)h(con)m(ten)m(t)g(of)f(the)g(hard)g(in)
47364 m(teraction)f(and)h(the)g(total)e(n)m(um)m(b)s(er)j(of)e(par-)709
47365 3627 y(tons.)41 b(The)25 b(\015a)m(v)m(our)g(con)m(ten)m(t)g(is)f
47366 (assumed)h(giv)m(en)f(in)f Fq(MSTU\(161\))k Fw(and)d
47367 Fq(MSTU\(162\))p Fw(;)709 3735 y(these)33 b(are)g(automatically)c(set)k
47368 (e.g.)44 b(in)32 b Fq(LUEEVT)i Fw(and)f Fq(PYEVNT)h Fw(calls.)236
47369 3844 y Fq(=)52 b(12)g(:)165 b Fw(giv)m(es)33 b(a)f(table)g(on)g(parton)
47370 h(m)m(ultiplicit)m(y)c(distribution.)236 3952 y Fq(=)52
47371 b(13)g(:)165 b Fw(stores)38 b(the)f(parton)g(m)m(ultiplicit)m(y)d
47372 (distribution)h(of)i(ev)m(en)m(ts)j(in)c Fq(/LUJETS/)p
47373 Fw(,)41 b(using)709 4060 y(the)33 b(follo)m(wing)d(format:)709
47374 4169 y Fq(N)51 b(=)33 b Fw(total)e(n)m(um)m(b)s(er)i(of)f(di\013eren)m
47375 (t)h(c)m(hannels)g(found;)709 4277 y Fq(K\(I,1\))53 b(=)32
47376 b Fw(32;)709 4385 y Fq(K\(I,2\))53 b(=)32 b Fw(99;)709
47377 4494 y Fq(K\(I,3\),)53 b(K\(I,4\))g(=)32 b Fw(the)h(t)m(w)m(o)h(\015a)m
47378 (v)m(ours)g(of)e(the)h(\015a)m(v)m(our)g(con)m(ten)m(t;)709
47379 4602 y Fq(K\(I,5\))53 b(=)37 b Fw(total)e(n)m(um)m(b)s(er)i(of)f(ev)m
47380 (en)m(ts)k(found)c(with)h(\015a)m(v)m(our)h(con)m(ten)m(t)g(of)43
47381 b Fq(K\(I,3\))709 4710 y Fw(and)32 b Fq(K\(I,4\))p Fw(;)709
47382 4819 y Fq(P\(I,1\))53 b(-)e(P\(I,5\))i(=)23 b Fw(relativ)m(e)g
47383 (probabilit)m(y)e(to)i(\014nd)h(giv)m(en)g(\015a)m(v)m(our)g(con)m(ten)
47384 m(t)g(and)709 4927 y(a)32 b(total)f(of)h(1,)g(2,)h(3,)f(4)h(or)f(5)g
47385 (partons,)h(resp)s(ectiv)m(ely;)709 5035 y Fq(V\(I,1\))53
47386 b(-)e(V\(I,5\))i(=)23 b Fw(relativ)m(e)g(probabilit)m(y)e(to)i(\014nd)h
47387 (giv)m(en)g(\015a)m(v)m(our)g(con)m(ten)m(t)g(and)709
47388 5144 y(a)32 b(total)f(of)h(6{7,)g(8{10,)g(11{15,)f(16{25)h(or)g(ab)s(o)
47389 m(v)m(e)h(25)f(partons,)h(resp)s(ectiv)m(ely)-8 b(.)709
47390 5252 y(In)33 b(addition,)d Fq(MSTU\(3\)=1)35 b Fw(and)709
47391 5360 y Fq(K\(N+1,1\))53 b(=)33 b Fw(32;)709 5469 y Fq(K\(N+1,2\))53
47392 b(=)33 b Fw(99;)709 5577 y Fq(K\(N+1,5\))53 b(=)33 b
47393 Fw(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(analyzed.)1817
47394 5953 y(305)p eop
47395 %%Page: 306 312
47396 306 311 bop 236 -18 a Fq(=)52 b(20)g(:)165 b Fw(statistics)32
47397 b(on)g(particle)f(con)m(ten)m(t)j(is)e(reset.)236 90
47398 y Fq(=)52 b(21)g(:)165 b Fw(the)48 b(particle/parton)e(con)m(ten)m(t)j
47399 (of)f(the)g(curren)m(t)h(ev)m(en)m(t)h(is)d(analyzed,)52
47400 b(also)47 b(for)709 198 y(particles)30 b(whic)m(h)i(ha)m(v)m(e)g
47401 (subsequen)m(tly)i(deca)m(y)m(ed)g(and)d(partons)g(whic)m(h)h(ha)m(v)m
47402 (e)h(frag-)709 307 y(men)m(ted)43 b(\(unless)h(this)f(has)h(b)s(een)f
47403 (made)g(imp)s(ossible)e(b)m(y)j(a)f(preceding)i Fq(LUEDIT)709
47404 415 y Fw(call\).)86 b(P)m(articles)47 b(are)h(sub)s(divided)f(in)m(to)g
47405 (primary)f(and)i(secondary)h(ones,)j(the)709 523 y(main)40
47406 b(principle)h(b)s(eing)h(that)g(primary)f(particles)g(are)h(those)h
47407 (pro)s(duced)h(in)d(the)709 632 y(fragmen)m(tation)26
47408 b(of)h(a)g(string,)i(while)d(secondary)k(come)d(from)g(deca)m(y)i(of)e
47409 (other)h(par-)709 740 y(ticles.)42 b(Since)31 b(particles)f(\(top,)i
47410 (sa)m(y\),)g(ma)m(y)f(deca)m(y)i(in)m(to)d(partons,)i(the)f
47411 (distinction)709 848 y(is)h(not)g(alw)m(a)m(ys)h(unique.)236
47412 957 y Fq(=)52 b(22)g(:)165 b Fw(giv)m(es)33 b(a)f(table)g(of)g
47413 (particle)f(con)m(ten)m(t)j(in)e(ev)m(en)m(ts.)236 1065
47414 y Fq(=)52 b(23)g(:)165 b Fw(stores)28 b(particle)f(con)m(ten)m(t)i(in)e
47415 (ev)m(en)m(ts)k(in)c Fq(/LUJETS/)p Fw(,)k(using)c(the)i(follo)m(wing)c
47416 (format:)709 1173 y Fq(N)51 b(=)33 b Fw(n)m(um)m(b)s(er)g(of)f
47417 (di\013eren)m(t)h(particle)e(sp)s(ecies)j(found;)709
47418 1282 y Fq(K\(I,1\))53 b(=)32 b Fw(32;)709 1390 y Fq(K\(I,2\))53
47419 b(=)32 b Fw(99;)709 1498 y Fq(K\(I,3\))53 b(=)32 b Fw(particle)g(KF)g
47420 (co)s(de;)709 1607 y Fq(K\(I,5\))53 b(=)32 b Fw(total)f(n)m(um)m(b)s
47421 (er)i(of)f(particles)g(and)h(an)m(tiparticles)e(of)h(this)g(sp)s
47422 (ecies;)709 1715 y Fq(P\(I,1\))53 b(=)32 b Fw(a)m(v)m(erage)i(n)m(um)m
47423 (b)s(er)f(of)f(primary)f(particles)h(p)s(er)h(ev)m(en)m(t;)709
47424 1823 y Fq(P\(I,2\))53 b(=)32 b Fw(a)m(v)m(erage)i(n)m(um)m(b)s(er)f(of)
47425 f(secondary)i(particles)e(p)s(er)g(ev)m(en)m(t;)709 1932
47426 y Fq(P\(I,3\))53 b(=)32 b Fw(a)m(v)m(erage)i(n)m(um)m(b)s(er)f(of)f
47427 (primary)f(an)m(tiparticles)g(p)s(er)i(ev)m(en)m(t;)709
47428 2040 y Fq(P\(I,4\))53 b(=)32 b Fw(a)m(v)m(erage)i(n)m(um)m(b)s(er)f(of)
47429 f(secondary)i(an)m(tiparticles)d(p)s(er)i(ev)m(en)m(t;)709
47430 2148 y Fq(P\(I,5\))53 b(=)32 b Fw(a)m(v)m(erage)i(total)d(n)m(um)m(b)s
47431 (er)i(of)f(particles)g(or)g(an)m(tiparticles)f(p)s(er)i(ev)m(en)m(t.)
47432 709 2257 y(In)g(addition,)d Fq(MSTU\(3\)=1)35 b Fw(and)709
47433 2365 y Fq(K\(N+1,1\))53 b(=)33 b Fw(32;)709 2473 y Fq(K\(N+1,2\))53
47434 b(=)33 b Fw(99;)709 2582 y Fq(K\(N+1,5\))53 b(=)33 b
47435 Fw(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(analyzed;)709
47436 2690 y Fq(P\(N+1,1\))53 b(=)33 b Fw(a)m(v)m(erage)g(primary)f(m)m
47437 (ultiplicit)m(y)d(p)s(er)j(ev)m(en)m(t;)709 2798 y Fq(P\(N+1,2\))53
47438 b(=)33 b Fw(a)m(v)m(erage)g(\014nal)f(m)m(ultiplicit)m(y)d(p)s(er)k(ev)
47439 m(en)m(t;)709 2907 y Fq(P\(N+1,3\))53 b(=)33 b Fw(a)m(v)m(erage)g(c)m
47440 (harged)h(m)m(ultiplicit)m(y)29 b(p)s(er)j(ev)m(en)m(t.)236
47441 3015 y Fq(=)52 b(30)g(:)165 b Fw(statistics)32 b(on)g(factorial)e
47442 (momen)m(ts)i(is)h(reset.)236 3123 y Fq(=)52 b(31)g(:)165
47443 b Fw(analyzes)24 b(the)f(factorial)e(momen)m(ts)i(of)g(the)h(m)m
47444 (ultiplicit)m(y)c(distribution)i(in)g(di\013eren)m(t)709
47445 3232 y(bins)37 b(of)g(rapidit)m(y)g(and)h(azim)m(uth.)58
47446 b(Whic)m(h)38 b(particles)f(\(or)g(partons\))h(are)f(used)i(in)709
47447 3340 y(the)27 b(analysis)g(is)g(determined)g(b)m(y)i(the)e
47448 Fq(MSTU\(41\))j Fw(v)-5 b(alue.)41 b(The)28 b(selection)f(b)s(et)m(w)m
47449 (een)709 3448 y(usage)43 b(of)f(true)h(rapidit)m(y)-8
47450 b(,)45 b(pion)d(rapidit)m(y)f(or)i(pseudorapidit)m(y)g(is)f(regulated)h
47451 (b)m(y)709 3557 y Fq(MSTU\(42\))p Fw(.)h(The)31 b Fj(z)j
47452 Fw(axis)29 b(is)g(assumed)h(to)f(b)s(e)h(ev)m(en)m(t)h(axis;)f(if)f
47453 (this)g(is)g(not)g(desirable)709 3665 y(\014nd)46 b(an)g(ev)m(en)m(t)i
47454 (axis)e(e.g.)84 b(with)46 b Fq(LUSPHE)h Fw(or)f Fq(LUTHRU)i
47455 Fw(and)e(use)h Fq(LUEDIT\(31\))p Fw(.)709 3774 y(Maxim)m(um)29
47456 b(\(pion-,)i(pseudo-\))g(rapidit)m(y)-8 b(,)31 b(whic)m(h)g(sets)h(the)
47457 g(limit)27 b(for)k(the)h(rapidit)m(y)709 3882 y(plateau)g(or)g(the)h
47458 (exp)s(erimen)m(tal)e(acceptance,)k(is)d(giv)m(en)g(b)m(y)j
47459 Fq(PARU\(57\))p Fw(.)236 3990 y Fq(=)52 b(32)g(:)165
47460 b Fw(prin)m(ts)29 b(a)h(table)f(of)g(the)h(\014rst)g(four)g(factorial)d
47461 (momen)m(ts)i(for)g(v)-5 b(arious)29 b(bins)h(of)f(pseu-)709
47462 4099 y(dorapidit)m(y)34 b(and)h(azim)m(uth.)51 b(The)36
47463 b(momen)m(ts)f(are)g(prop)s(erly)g(normalized)e(so)j(that)709
47464 4207 y(they)f(w)m(ould)f(b)s(e)h(unit)m(y)g(\(up)f(to)h(statistical)d
47465 (\015uctuations\))i(for)g(uniform)f(and)i(un-)709 4315
47466 y(correlated)d(particle)f(pro)s(duction)h(according)g(to)g(P)m
47467 (oissonian)g(statistics,)g(but)h(in-)709 4424 y(creasing)i(for)f
47468 (decreasing)i(bin)f(size)g(in)f(case)i(of)f(`in)m(termitten)m(t')f(b)s
47469 (eha)m(viour.)52 b(The)709 4532 y(error)34 b(on)h(the)h(a)m(v)m(erage)f
47470 (v)-5 b(alue)35 b(is)f(based)i(on)f(the)g(actual)f(statistical)f
47471 (sample)h(\(i.e.)709 4640 y(do)s(es)g(not)f(use)i(an)m(y)f(assumptions)
47472 g(on)f(the)i(distribution)c(to)j(relate)f(errors)h(to)f(the)709
47473 4749 y(a)m(v)m(erage)h(v)-5 b(alues)33 b(of)g(higher)g(momen)m(ts\).)46
47474 b(Note)34 b(that)f(for)g(small)e(bin)i(sizes,)h(where)709
47475 4857 y(the)c(a)m(v)m(erage)g(m)m(ultiplicit)m(y)c(is)j(small)e(and)j
47476 (the)g(factorial)d(momen)m(t)i(therefore)h(only)709 4965
47477 y(v)m(ery)d(rarely)e(is)g(non-v)-5 b(anishing,)25 b(momen)m(t)g(v)-5
47478 b(alues)26 b(ma)m(y)f(\015uctuate)h(wildly)e(and)i(the)709
47479 5074 y(errors)33 b(giv)m(en)f(ma)m(y)h(b)s(e)f(to)s(o)g(lo)m(w.)236
47480 5182 y Fq(=)52 b(33)g(:)165 b Fw(stores)33 b(the)g(factorial)d(momen)m
47481 (ts)i(in)g Fq(/LUJETS/)p Fw(,)j(using)d(the)h(format:)709
47482 5290 y Fq(N)51 b(=)23 b Fw(30,)h(with)e Fq(I)51 b(=)h
47483 Fj(i)28 b Fw(=)g(1{10)21 b(corresp)s(onding)h(to)g(results)h(for)f
47484 (slicing)f(the)i(rapidit)m(y)709 5399 y(range)39 b(in)g(2)1151
47485 5363 y Fh(i)p Fk(\000)p Fl(1)1308 5399 y Fw(bins,)i Fq(I)52
47486 b(=)f Fj(i)40 b Fw(=)f(11{20)f(to)h(slicing)f(the)i(azim)m(uth)e(in)h
47487 (2)3386 5363 y Fh(i)p Fk(\000)p Fl(11)3578 5399 y Fw(bins,)709
47488 5507 y(and)g Fq(I)51 b(=)h Fj(i)39 b Fw(=)g(21{30)f(to)g(slicing)g(b)s
47489 (oth)g(rapidit)m(y)h(and)g(azim)m(uth,)h(eac)m(h)g(in)e(2)3626
47490 5471 y Fh(i)p Fk(\000)p Fl(21)709 5615 y Fw(bins;)1817
47491 5953 y(306)p eop
47492 %%Page: 307 313
47493 307 312 bop 709 -18 a Fq(K\(I,1\))53 b(=)32 b Fw(32;)709
47494 90 y Fq(K\(I,2\))53 b(=)32 b Fw(99;)709 198 y Fq(K\(I,3\))53
47495 b(=)32 b Fw(n)m(um)m(b)s(er)h(of)f(bins)h(in)f(rapidit)m(y;)709
47496 307 y Fq(K\(I,4\))53 b(=)32 b Fw(n)m(um)m(b)s(er)h(of)f(bins)h(in)f
47497 (azim)m(uth;)709 415 y Fq(P\(I,1\))53 b(=)32 b Fw(rapidit)m(y)g(bin)g
47498 (size;)709 523 y Fq(P\(I,2\))53 b(-)e(P\(I,5\))i(=)41
47499 b Fn(h)p Fj(F)1723 538 y Fl(2)1763 523 y Fn(i)p Fw({)p
47500 Fn(h)p Fj(F)1953 538 y Fl(5)1992 523 y Fn(i)p Fw(,)i(i.e.)69
47501 b(mean)41 b(of)g(second,)j(third,)f(fourth)e(and)709
47502 632 y(\014fth)32 b(factorial)e(momen)m(t;)709 740 y Fq(V\(I,1\))53
47503 b(=)32 b Fw(azim)m(uthal)f(bin)h(size;)709 848 y Fq(V\(I,2\))53
47504 b(-)e(V\(I,5\))i(=)33 b Fw(statistical)d(errors)j(on)g
47505 Fn(h)p Fj(F)2573 863 y Fl(2)2612 848 y Fn(i)p Fw({)p
47506 Fn(h)p Fj(F)2802 863 y Fl(5)2841 848 y Fn(i)p Fw(.)709
47507 957 y(In)g(addition,)d Fq(MSTU\(3\))54 b(=)32 b Fw(1)h(and)709
47508 1065 y Fq(K\(31,1\))53 b(=)33 b Fw(32;)709 1173 y Fq(K\(31,2\))53
47509 b(=)33 b Fw(99;)709 1282 y Fq(K\(31,5\))53 b(=)33 b Fw(n)m(um)m(b)s(er)
47510 g(of)f(ev)m(en)m(ts)j(analyzed.)236 1390 y Fq(=)52 b(40)g(:)165
47511 b Fw(statistics)32 b(on)g(energy{energy)j(correlation)30
47512 b(is)j(reset.)236 1498 y Fq(=)52 b(41)g(:)165 b Fw(the)51
47513 b(energy{energy)j(correlation)49 b(EEC)j(of)f(the)h(curren)m(t)g(ev)m
47514 (en)m(t)h(is)e(analyzed.)709 1607 y(Whic)m(h)40 b(particles)f(\(or)g
47515 (partons\))h(are)g(used)h(in)d(the)j(analysis)e(is)g(determined)h(b)m
47516 (y)709 1715 y(the)32 b Fq(MSTU\(41\))i Fw(v)-5 b(alue.)43
47517 b(Ev)m(en)m(ts)34 b(are)e(assumed)h(giv)m(en)f(in)f(their)g(c.m.)43
47518 b(frame.)g(The)709 1823 y(w)m(eigh)m(t)d(assigned)g(to)f(a)g(pair)g
47519 Fj(i)g Fw(and)h Fj(j)46 b Fw(is)39 b(2)p Fj(E)2421 1838
47520 y Fh(i)2449 1823 y Fj(E)2521 1838 y Fh(j)2558 1823 y
47521 Fj(=E)2685 1787 y Fl(2)2679 1848 y(vis)2768 1823 y Fw(,)i(where)g
47522 Fj(E)3197 1838 y Fl(vis)3325 1823 y Fw(is)f(the)g(sum)709
47523 1932 y(of)45 b(energies)h(of)f(all)e(analyzed)j(particles)f(in)f(the)i
47524 (ev)m(en)m(t.)85 b(Energies)46 b(are)f(deter-)709 2040
47525 y(mined)36 b(from)h(the)h(momen)m(ta)f(of)g(particles,)h(with)g(mass)f
47526 (determined)h(according)709 2148 y(to)g(the)i Fq(MSTU\(42\))h
47527 Fw(v)-5 b(alue.)62 b(Statistics)38 b(is)h(accum)m(ulated)f(for)h(the)g
47528 (relativ)m(e)f(angle)709 2257 y Fj(\022)754 2272 y Fh(ij)815
47529 2257 y Fw(,)32 b(ranging)g(b)s(et)m(w)m(een)i(0)e(and)h(180)f(degrees,)
47530 i(sub)s(divided)f(in)m(to)f(50)g(bins.)236 2365 y Fq(=)52
47531 b(42)g(:)165 b Fw(prin)m(ts)35 b(a)g(table)f(of)h(the)h(energy{energy)h
47532 (correlation)c(EEC)k(and)e(its)f(asymmetry)709 2473 y(EECA)q(,)42
47533 b(with)d(errors.)66 b(The)41 b(de\014nition)e(of)g(errors)h(is)g(not)f
47534 (unique.)66 b(In)40 b(our)g(ap-)709 2582 y(proac)m(h)33
47535 b(eac)m(h)i(ev)m(en)m(t)g(is)e(view)m(ed)h(as)f(one)h(observ)-5
47536 b(ation,)33 b(i.e.)45 b(an)33 b(EEC)i(and)e(EECA)709
47537 2690 y(distribution)i(is)i(obtained)g(b)m(y)h(summing)e(o)m(v)m(er)i
47538 (all)d(particle)i(pairs)f(of)h(an)h(ev)m(en)m(t,)709
47539 2798 y(and)24 b(then)i(the)f(a)m(v)m(erage)g(and)g(spread)g(of)f(this)g
47540 (ev)m(en)m(t-distribution)h(is)f(calculated)f(in)709
47541 2907 y(the)h(standard)g(fashion.)40 b(The)24 b(quoted)h(error)e(is)g
47542 (therefore)i(in)m(v)m(ersely)f(prop)s(ortional)709 3015
47543 y(to)34 b(the)h(square)h(ro)s(ot)e(of)h(the)g(n)m(um)m(b)s(er)g(of)g
47544 (ev)m(en)m(ts.)52 b(It)35 b(could)f(ha)m(v)m(e)j(b)s(een)e(p)s(ossible)
47545 709 3123 y(to)k(view)i(eac)m(h)f(single)f(particle)g(pair)g(as)h(one)g
47546 (observ)-5 b(ation,)42 b(whic)m(h)e(w)m(ould)g(ha)m(v)m(e)709
47547 3232 y(giv)m(en)34 b(somewhat)f(lo)m(w)m(er)h(errors,)h(but)f(then)g
47548 (one)g(w)m(ould)g(also)f(b)s(e)h(forced)g(to)f(do)h(a)709
47549 3340 y(complicated)25 b(correction)i(pro)s(cedure)g(to)g(accoun)m(t)h
47550 (for)e(the)h(pairs)g(in)f(an)h(ev)m(en)m(t)i(not)709
47551 3448 y(b)s(eing)40 b(uncorrelated)g(\(t)m(w)m(o)i(hard)e(jets)i
47552 (separated)f(b)m(y)h(a)e(giv)m(en)h(angle)f(t)m(ypically)709
47553 3557 y(corresp)s(onds)g(to)e(sev)m(eral)h(pairs)f(at)g(ab)s(out)g(that)
47554 g(angle\).)61 b(Note,)40 b(ho)m(w)m(ev)m(er,)j(that)709
47555 3665 y(in)35 b(our)i(approac)m(h)g(the)f(squared)i(error)f(on)f(an)g
47556 (EECA)i(bin)e(is)g(smaller)f(than)h(the)709 3774 y(sum)j(of)g(the)h
47557 (squares)h(of)e(the)h(errors)f(on)h(the)g(corresp)s(onding)f(EEC)i
47558 (bins)e(\(as)g(it)709 3882 y(should)29 b(b)s(e\).)43
47559 b(Also)29 b(note)g(that)h(it)e(is)h(not)h(p)s(ossible)f(to)g(com)m
47560 (bine)g(the)h(errors)g(of)f(t)m(w)m(o)709 3990 y(nearb)m(y)39
47561 b(bins)f(b)m(y)h(hand)f(from)f(the)h(information)d(giv)m(en,)40
47562 b(since)e(nearb)m(y)i(bins)d(are)709 4099 y(correlated)32
47563 b(\(again)f(a)h(trivial)e(consequence)36 b(of)c(the)h(presence)i(of)d
47564 (jets\).)236 4207 y Fq(=)52 b(43)g(:)165 b Fw(stores)33
47565 b(the)g(EEC)h(and)f(EECA)g(in)f Fq(/LUJETS/)p Fw(,)j(using)d(the)h
47566 (format:)709 4315 y Fq(N)51 b(=)33 b Fw(25;)709 4424
47567 y Fq(K\(I,1\))53 b(=)32 b Fw(32;)709 4532 y Fq(K\(I,2\))53
47568 b(=)32 b Fw(99;)709 4640 y Fq(P\(I,1\))53 b(=)32 b Fw(EEC)i(for)e
47569 (angles)g(b)s(et)m(w)m(een)j Fq(I-1)e Fw(and)g Fq(I)p
47570 Fw(,)g(in)f(units)g(of)g(3)p Fj(:)p Fw(6)3287 4604 y
47571 Fk(\016)3326 4640 y Fw(;)709 4749 y Fq(P\(I,2\))53 b(=)32
47572 b Fw(EEC)i(for)e(angles)g(b)s(et)m(w)m(een)j Fq(50-I)e
47573 Fw(and)g Fq(51-I)p Fw(,)h(in)e(units)g(of)g(3)p Fj(:)p
47574 Fw(6)3492 4712 y Fk(\016)3531 4749 y Fw(;)709 4857 y
47575 Fq(P\(I,3\))53 b(=)32 b Fw(EECA)i(for)e(angles)g(b)s(et)m(w)m(een)j
47576 Fq(I-1)e Fw(and)g Fq(I)p Fw(,)g(in)f(units)g(of)g(3)p
47577 Fj(:)p Fw(6)3360 4821 y Fk(\016)3399 4857 y Fw(;)709
47578 4965 y Fq(P\(I,4\),)53 b(P\(I,5\))g(:)46 b Fw(lo)m(w)m(er)34
47579 b(and)g(upp)s(er)g(edge)h(of)e(angular)g(range)g(of)h(bin)f
47580 Fq(I)p Fw(,)h(ex-)709 5074 y(pressed)g(in)e(radians;)709
47581 5182 y Fq(V\(I,1\))53 b(-)e(V\(I,3\))i(:)79 b Fw(errors)50
47582 b(on)h(the)f(EEC)h(and)g(EECA)g(v)-5 b(alues)50 b(stored)h(in)709
47583 5290 y Fq(P\(I,1\))i(-)e(P\(I,3\))34 b Fw(\(see)g Fq(=42)f
47584 Fw(for)f(commen)m(ts\);)709 5399 y Fq(V\(I,4\),)53 b(V\(I,5\))g(:)46
47585 b Fw(lo)m(w)m(er)34 b(and)g(upp)s(er)g(edge)h(of)e(angular)g(range)g
47586 (of)h(bin)f Fq(I)p Fw(,)h(ex-)709 5507 y(pressed)g(in)e(degrees.)709
47587 5615 y(In)h(addition,)82 b Fq(MSTU\(3\)=1)35 b Fw(and)1817
47588 5953 y(307)p eop
47589 %%Page: 308 314
47590 308 313 bop 709 -18 a Fq(K\(26,1\))53 b(=)33 b Fw(32;)709
47591 90 y Fq(K\(26,2\))53 b(=)33 b Fw(99;)709 198 y Fq(K\(26,5\))53
47592 b(=)33 b Fw(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(analyzed.)236
47593 307 y Fq(=)52 b(50)g(:)165 b Fw(statistics)32 b(on)g(complete)g
47594 (\014nal)g(states)h(is)f(reset.)236 415 y Fq(=)52 b(51)g(:)165
47595 b Fw(analyzes)25 b(the)h(particle)e(con)m(ten)m(t)j(of)e(the)g(\014nal)
47596 g(state)h(of)e(the)i(curren)m(t)h(ev)m(en)m(t)g(record.)709
47597 523 y(During)g(the)h(course)i(of)e(the)g(run,)i(statistics)e(is)g(th)m
47598 (us)h(accum)m(ulated)f(on)g(ho)m(w)h(often)709 632 y(di\013eren)m(t)k
47599 (\014nal)g(states)h(app)s(ear.)46 b(Only)33 b(\014nal)g(states)h(with)f
47600 (up)h(to)f(8)g(particles)f(are)709 740 y(analyzed,)42
47601 b(and)e(there)h(is)e(only)h(reserv)m(ed)i(space)f(for)f(up)g(to)g(200)f
47602 (di\013eren)m(t)h(\014nal)709 848 y(states.)64 b(Most)39
47603 b(high)g(energy)h(ev)m(en)m(ts)h(ha)m(v)m(e)g(m)m(ultiplicities)35
47604 b(far)j(ab)s(o)m(v)m(e)i(8,)h(so)e(the)709 957 y(main)30
47605 b(use)k(for)e(this)g(to)s(ol)e(is)i(to)g(study)i(the)f(e\013ectiv)m(e)g
47606 (branc)m(hing)g(ratios)e(obtained)709 1065 y(with)47
47607 b(a)g(giv)m(en)h(deca)m(y)h(mo)s(del)d(for)h(e.g.)89
47608 b(c)m(harm)47 b(or)g(b)s(ottom)f(hadrons.)89 b(Then)709
47609 1173 y Fq(LU1ENT)34 b Fw(ma)m(y)e(b)s(e)h(used)h(to)e(generate)i(one)f
47610 (deca)m(ying)g(particle)e(at)i(a)f(time,)f(with)i(a)709
47611 1282 y(subsequen)m(t)h(analysis)d(b)m(y)j Fq(LUTABU)p
47612 Fw(.)g(Dep)s(ending)d(on)g(at)h(what)g(lev)m(el)f(this)g(studied)709
47613 1390 y(is)h(to)g(b)s(e)h(carried)f(out,)g(some)h(particle)e(deca)m(ys)k
47614 (ma)m(y)d(b)s(e)h(switc)m(hed)h(o\013,)e(lik)m(e)g Fj(\031)3637
47615 1354 y Fl(0)3676 1390 y Fw(.)236 1498 y Fq(=)52 b(52)g(:)165
47616 b Fw(giv)m(es)39 b(a)g(list)f(of)g(the)i(\(at)f(most)f(200\))h(c)m
47617 (hannels)h(with)e(up)i(to)f(8)f(particles)h(in)f(the)709
47618 1607 y(\014nal)28 b(state,)j(with)e(their)g(relativ)m(e)g(branc)m(hing)
47619 h(ratio.)41 b(The)30 b(ordering)f(is)g(according)709
47620 1715 y(to)39 b(m)m(ultiplicit)m(y)-8 b(,)38 b(and)i(within)f(eac)m(h)i
47621 (m)m(ultiplicit)m(y)36 b(according)k(to)f(an)h(ascending)709
47622 1823 y(order)c(of)h(KF)f(co)s(des.)56 b(The)38 b(KF)e(co)s(des)i(of)e
47623 (the)h(particles)f(b)s(elonging)f(to)h(a)g(giv)m(en)709
47624 1932 y(c)m(hannel)d(are)f(giv)m(en)h(in)f(descending)h(order.)236
47625 2040 y Fq(=)52 b(53)g(:)165 b Fw(stores)30 b(the)g(\014nal)f(states)i
47626 (and)f(branc)m(hing)g(ratios)e(found)i(in)f Fq(/LUJETS/)p
47627 Fw(,)k(using)c(the)709 2148 y(format:)709 2257 y Fq(N)51
47628 b(=)33 b Fw(n)m(um)m(b)s(er)g(of)f(di\013eren)m(t)h(explicit)e(\014nal)
47629 h(states)h(found)g(\(at)f(most)g(200\);)709 2365 y Fq(K\(I,1\))53
47630 b(=)32 b Fw(32;)709 2473 y Fq(K\(I,2\))53 b(=)32 b Fw(99;)709
47631 2582 y Fq(K\(I,5\))53 b(=)32 b Fw(m)m(ultiplicit)m(y)d(of)j(giv)m(en)h
47632 (\014nal)f(state,)h(a)f(n)m(um)m(b)s(er)h(b)s(et)m(w)m(een)i(1)d(and)h
47633 (8;)709 2690 y Fq(P\(I,1\))53 b(-)e(P\(I,5\),)i(V\(I,1\))g(-)f
47634 (V\(I,3\))g(:)65 b Fw(the)43 b(KF)f(co)s(des)i(of)f(the)g(up)g(to)g(8)
47635 709 2798 y(particles)28 b(of)g(the)i(giv)m(en)f(\014nal)f(state,)i(con)
47636 m(v)m(erted)h(to)d(real)g(n)m(um)m(b)s(ers,)j(with)e(trailing)709
47637 2907 y(zero)s(es)k(for)f(p)s(ositions)f(not)i(used;)709
47638 3015 y Fq(V\(I,5\))53 b(:)43 b Fw(e\013ectiv)m(e)34 b(branc)m(hing)e
47639 (ratio)f(for)h(the)h(giv)m(en)g(\014nal)f(state.)709
47640 3123 y(In)h(addition,)d Fq(MSTU\(3\)=1)35 b Fw(and)709
47641 3232 y Fq(K\(N+1,1\))53 b(=)33 b Fw(32;)709 3340 y Fq(K\(N+1,2\))53
47642 b(=)33 b Fw(99;)709 3448 y Fq(K\(N+1,5\))53 b(=)33 b
47643 Fw(n)m(um)m(b)s(er)g(of)f(ev)m(en)m(ts)j(analyzed;)709
47644 3557 y Fq(V\(N+1,5\))53 b(=)41 b Fw(summed)g(branc)m(hing)f(ratio)g
47645 (for)g(\014nals)g(states)i(not)f(giv)m(en)g(ab)s(o)m(v)m(e,)709
47646 3665 y(either)d(b)s(ecause)i(they)g(con)m(tained)e(more)g(than)h(8)f
47647 (particles)g(or)h(b)s(ecause)h(all)c(200)709 3774 y(c)m(hannels)d(ha)m
47648 (v)m(e)h(b)s(een)f(used)h(up.)p 0 3918 2876 9 v 0 4143
47649 9 225 v 79 4058 a Fq(COMMON/LUDAT1/MSTU\(200\),)q(PARU)q(\(200)q(\),MS)
47650 q(TJ\()q(200\))q(,PAR)q(J\(20)q(0\))p 2867 4143 V 0 4151
47651 2876 9 v 0 4283 a Fo(Purp)s(ose:)48 b Fw(to)31 b(giv)m(e)h(access)i(to)
47652 d(a)h(n)m(um)m(b)s(er)g(of)f(status)i(co)s(des)g(and)f(parameters)f
47653 (whic)m(h)i(regulate)e(the)472 4391 y(p)s(erformance)k(of)42
47654 b Fm(Jetset)p Fw(.)50 b(Most)36 b(parameters)f(are)g(describ)s(ed)h(in)
47655 e(section)i(14.4;)g(here)472 4499 y(only)d(those)g(related)f(to)g(the)h
47656 (ev)m(en)m(t-analysis)g(routines)g(are)g(describ)s(ed.)0
47657 4662 y Fq(MSTU\(41\))53 b(:)48 b Fw(\(D=2\))25 b(partons/particles)g
47658 (used)i(in)e(the)i(ev)m(en)m(t-analysis)f(routines)g
47659 Fq(LUSPHE)p Fw(,)i Fq(LUTHRU)p Fw(,)472 4770 y Fq(LUCLUS)p
47660 Fw(,)35 b Fq(LUCELL)p Fw(,)f Fq(LUJMAS)p Fw(,)g Fq(LUFOWO)g
47661 Fw(and)f Fq(LUTABU)h Fw(\()p Fq(LUTABU\(11\))h Fw(excepted\).)236
47662 4878 y Fq(=)52 b(1)f(:)217 b Fw(all)30 b(partons/particles)i(that)g(ha)
47663 m(v)m(e)i(not)f(fragmen)m(ted/deca)m(y)m(ed.)236 4987
47664 y Fq(=)52 b(2)f(:)217 b Fw(ditto,)31 b(with)h(the)h(exception)h(of)e
47665 (neutrinos)g(and)h(unkno)m(wn)h(particles.)236 5095 y
47666 Fq(=)52 b(3)f(:)217 b Fw(only)32 b(c)m(harged,)h(stable)g(particles,)e
47667 (plus)i(an)m(y)g(partons)g(still)d(not)j(fragmen)m(ted.)0
47668 5203 y Fq(MSTU\(42\))53 b(:)48 b Fw(\(D=2\))31 b(assumed)j(particle)d
47669 (masses,)i(used)h(in)d(calculating)g(energies)h Fj(E)3235
47670 5167 y Fl(2)3303 5203 y Fw(=)27 b Fo(p)3468 5167 y Fl(2)3530
47671 5203 y Fw(+)22 b Fj(m)3713 5167 y Fl(2)3752 5203 y Fw(,)472
47672 5312 y(as)45 b(subsequen)m(tly)h(used)g(in)d Fq(LUCLUS)p
47673 Fw(,)j Fq(LUJMAS)f Fw(and)f Fq(LUTABU)i Fw(\(in)d(the)i(latter)e(also)g
47674 (for)472 5420 y(pseudorapidit)m(y)-8 b(,)33 b(pion)f(rapidit)m(y)f(or)i
47675 (true)g(rapidit)m(y)e(selection\).)236 5528 y Fq(=)52
47676 b(0)f(:)217 b Fw(all)30 b(particles)i(are)g(assumed)i(massless.)236
47677 5637 y Fq(=)52 b(1)f(:)217 b Fw(all)37 b(particles,)j(except)g(the)g
47678 (photon,)h(are)e(assumed)h(to)e(ha)m(v)m(e)j(the)e(c)m(harged)h(pion)
47679 1817 5953 y(308)p eop
47680 %%Page: 309 315
47681 309 314 bop 709 -18 a Fw(mass.)236 90 y Fq(=)52 b(2)f(:)217
47682 b Fw(the)33 b(true)g(masses)g(are)g(used.)0 198 y Fq(MSTU\(43\))53
47683 b(:)48 b Fw(\(D=1\))41 b(storing)h(of)g(ev)m(en)m(t-analysis)h
47684 (information)c(\(mainly)h(jet)i(axes\),)k(in)c Fq(LUSPHE)p
47685 Fw(,)472 307 y Fq(LUTHRU)p Fw(,)35 b Fq(LUCLUS)f Fw(and)e
47686 Fq(LUCELL)p Fw(.)236 415 y Fq(=)52 b(1)f(:)217 b Fw(stored)24
47687 b(after)f(the)h(ev)m(en)m(t)i(prop)s(er,)f(in)e(p)s(ositions)f
47688 Fq(N+1)j Fw(through)e Fq(N+MSTU\(3\))p Fw(.)43 b(If)24
47689 b(sev-)709 523 y(eral)31 b(of)h(the)g(routines)g(are)g(used)i(in)d
47690 (succession,)j(all)c(but)i(the)h(latest)f(information)709
47691 632 y(is)g(o)m(v)m(erwritten.)236 740 y Fq(=)52 b(2)f(:)217
47692 b Fw(stored)34 b(with)g(the)g(ev)m(en)m(t)i(prop)s(er,)e(i.e.)47
47693 b(at)34 b(the)g(end)g(of)g(the)g(ev)m(en)m(t)i(listing,)c(with)h
47694 Fq(N)709 848 y Fw(up)s(dated)e(accordingly)-8 b(.)41
47695 b(If)31 b(sev)m(eral)g(of)f(the)h(routines)f(are)h(used)g(in)f
47696 (succession,)j(all)709 957 y(the)g(axes)g(determined)g(are)f(a)m(v)-5
47697 b(ailable.)0 1065 y Fq(MSTU\(44\))53 b(:)48 b Fw(\(D=4\))36
47698 b(is)g(the)h(n)m(um)m(b)s(er)g(of)f(the)h(fastest)h(\(i.e.)55
47699 b(with)36 b(largest)g(momen)m(tum\))f(particles)472 1173
47700 y(used)g(to)d(construct)j(the)e(\(at)g(most\))f(10)h(most)f(promising)f
47701 (starting)h(con\014gurations)h(for)472 1282 y(the)g(thrust)h(axis)e
47702 (determination.)0 1390 y Fq(MSTU\(45\))53 b(:)48 b Fw(\(D=2\))34
47703 b(is)h(the)h(n)m(um)m(b)s(er)f(of)g(di\013eren)m(t)g(starting)g
47704 (con\014gurations)g(ab)s(o)m(v)m(e,)h(whic)m(h)g(ha)m(v)m(e)472
47705 1498 y(to)45 b(con)m(v)m(erge)h(to)f(the)g(same)g(\(b)s(est\))g(v)-5
47706 b(alue)44 b(b)s(efore)h(this)f(is)h(accepted)h(as)f(the)g(correct)472
47707 1607 y(thrust)34 b(axis.)0 1715 y Fq(MSTU\(46\))53 b(:)48
47708 b Fw(\(D=1\))31 b(distance)i(measure)g(used)h(for)e(the)h(joining)d(of)
47709 j(clusters)g(in)f Fq(LUCLUS)p Fw(.)236 1823 y Fq(=)52
47710 b(1)f(:)217 b Fj(d)760 1838 y Fh(ij)820 1823 y Fw(,)53
47711 b(i.e.)91 b(appro)m(ximately)47 b(relativ)m(e)h(transv)m(erse)j(momen)m
47712 (tum.)90 b(An)m(ytime)49 b(t)m(w)m(o)709 1932 y(clusters)d(ha)m(v)m(e)h
47713 (b)s(een)g(joined,)i(particles)c(are)g(reassigned)i(to)e(the)h(cluster)
47714 h(they)709 2040 y(no)m(w)33 b(are)f(closest)h(to.)44
47715 b(The)33 b(distance)g(cut-o\013)f Fj(d)2479 2055 y Fl(join)2631
47716 2040 y Fw(is)g(stored)i(in)d Fq(PARU\(44\))p Fw(.)236
47717 2148 y Fq(=)52 b(2)f(:)217 b Fw(distance)29 b(measure)h(as)f(in)f
47718 Fq(=1)p Fw(,)j(but)e(particles)f(are)i(nev)m(er)g(reassigned)g(to)f
47719 (new)h(jets.)236 2257 y Fq(=)52 b(3)f(:)217 b Fw(JADE)33
47720 b(distance)g(measure)h Fj(y)1815 2272 y Fh(ij)1875 2257
47721 y Fw(,)f(but)h(with)e(dimensions)h(to)f(corresp)s(ond)i(appro)m(x-)709
47722 2365 y(imately)j(to)h(total)g(in)m(v)-5 b(arian)m(t)38
47723 b(mass.)63 b(P)m(articles)38 b(ma)m(y)h(nev)m(er)i(b)s(e)e(reassigned)h
47724 (b)s(e-)709 2473 y(t)m(w)m(een)34 b(clusters.)44 b(The)34
47725 b(distance)f(cut-o\013)f Fj(m)2348 2488 y Fl(min)2503
47726 2473 y Fw(is)g(stored)h(in)f Fq(PARU\(44\))p Fw(.)236
47727 2582 y Fq(=)52 b(4)f(:)217 b Fw(as)24 b Fq(=3)p Fw(,)j(but)d(a)g
47728 (scaled)h(JADE)f(distance)h Fj(y)2207 2597 y Fh(ij)2291
47729 2582 y Fw(is)f(used)h(instead)g(of)e Fj(m)3111 2597 y
47730 Fh(ij)3172 2582 y Fw(.)41 b(The)25 b(distance)709 2690
47731 y(cut-o\013)32 b Fj(y)1063 2705 y Fl(min)1217 2690 y
47732 Fw(is)g(stored)h(in)f Fq(PARU\(45\))p Fw(.)236 2798 y
47733 Fq(=)52 b(5)f(:)217 b Fw(Durham)43 b(distance)h(measure)52
47734 b(~)-56 b Fj(y)1935 2813 y Fh(ij)1995 2798 y Fw(,)47
47735 b(but)e(with)f(dimensions)f(to)h(corresp)s(ond)h(ap-)709
47736 2907 y(pro)m(ximately)26 b(to)h(transv)m(erse)i(momen)m(tum.)40
47737 b(P)m(articles)27 b(ma)m(y)g(nev)m(er)i(b)s(e)f(reassigned)709
47738 3015 y(b)s(et)m(w)m(een)34 b(clusters.)45 b(The)33 b(distance)g
47739 (cut-o\013)f Fj(p)2412 3030 y Fk(?)p Fl(min)2621 3015
47740 y Fw(is)g(stored)i(in)d Fq(PARU\(44\))p Fw(.)236 3123
47741 y Fq(=)52 b(6)f(:)217 b Fw(as)43 b Fq(=5)p Fw(,)k(but)d(a)f(scaled)h
47742 (Durham)e(distance)50 b(~)-55 b Fj(y)2429 3138 y Fh(ij)2532
47743 3123 y Fw(is)43 b(used)i(instead)e(of)g Fj(p)3393 3138
47744 y Fk(?)p Fh(ij)3508 3123 y Fw(.)77 b(The)709 3232 y(distance)33
47745 b(cut-o\013)38 b(~)-55 b Fj(y)1443 3247 y Fl(min)1597
47746 3232 y Fw(is)32 b(stored)h(in)f Fq(PARU\(45\))p Fw(.)0
47747 3340 y Fq(MSTU\(47\))53 b(:)48 b Fw(\(D=1\))31 b(the)i(minim)m(um)d(n)m
47748 (um)m(b)s(er)j(of)f(clusters)h(to)f(b)s(e)h(reconstructed)i(b)m(y)f
47749 Fq(LUCLUS)p Fw(.)0 3448 y Fq(MSTU\(48\))53 b(:)48 b Fw(\(D=0\))31
47750 b(mo)s(de)h(of)g(op)s(eration)g(of)g(the)h Fq(LUCLUS)h
47751 Fw(routine.)236 3557 y Fq(=)52 b(0)f(:)217 b Fw(the)33
47752 b(cluster)g(searc)m(h)g(is)g(started)g(from)e(scratc)m(h.)236
47753 3665 y Fq(=)52 b(1)f(:)217 b Fw(the)26 b(clusters)h(obtained)e(in)h(a)f
47754 (previous)i(cluster)f(searc)m(h)i(on)e(the)g(same)g(ev)m(en)m(t)i
47755 (\(with)709 3774 y Fq(MSTU\(48\)=0)p Fw(\))k(are)e(to)g(b)s(e)g(tak)m
47756 (en)g(as)h(the)f(starting)f(p)s(oin)m(t)g(for)g(subsequen)m(t)k
47757 (cluster)709 3882 y(joining.)41 b(F)-8 b(or)30 b(this)h(call)f(to)h(ha)
47758 m(v)m(e)i(an)m(y)f(e\013ect,)h(the)f(joining)d(scale)j(in)e
47759 Fq(PARU\(44\))k Fw(or)709 3990 y Fq(PARU\(45\))27 b Fw(m)m(ust)f(ha)m
47760 (v)m(e)g(b)s(een)g(c)m(hanged.)43 b(If)25 b(the)h(ev)m(en)m(t)h(record)
47761 f(has)g(b)s(een)g(mo)s(di\014ed)709 4099 y(after)g(the)h(last)f
47762 Fq(LUCLUS)i Fw(call,)e(or)g(if)g(an)m(y)h(other)g(cluster)g(searc)m(h)h
47763 (parameter)e(setting)709 4207 y(has)33 b(b)s(een)g(c)m(hanged,)h(the)f
47764 (subsequen)m(t)i(result)e(is)f(unpredictable.)0 4315
47765 y Fq(MSTU\(51\))53 b(:)48 b Fw(\(D=25\))36 b(n)m(um)m(b)s(er)i(of)g
47766 (pseudorapidit)m(y)f(bins)h(that)g(the)g(range)f(b)s(et)m(w)m(een)j
47767 Fq(-PARU\(51\))472 4424 y Fw(and)33 b Fq(+PARU\(51\))i
47768 Fw(is)d(divided)g(in)m(to)g(to)g(de\014ne)i(cell)e(size)g(for)g
47769 Fq(LUCELL)p Fw(.)0 4532 y Fq(MSTU\(52\))53 b(:)48 b Fw(\(D=24\))31
47770 b(n)m(um)m(b)s(er)i(of)f(azim)m(uthal)f(bins,)h(used)i(to)e(de\014ne)i
47771 (the)f(cell)f(size)g(for)g Fq(LUCELL)p Fw(.)0 4640 y
47772 Fq(MSTU\(53\))53 b(:)48 b Fw(\(D=0\))22 b(smearing)h(of)g(correct)h
47773 (energy)-8 b(,)27 b(imp)s(osed)22 b(cell-b)m(y-cell)g(in)h
47774 Fq(LUCELL)p Fw(,)i(to)e(sim)m(ulate)472 4749 y(calorimeter)31
47775 b(resolution)g(e\013ects.)236 4857 y Fq(=)52 b(0)f(:)217
47776 b Fw(no)32 b(smearing.)236 4965 y Fq(=)52 b(1)f(:)217
47777 b Fw(the)36 b(transv)m(erse)i(energy)e(in)f(a)h(cell,)f
47778 Fj(E)2137 4980 y Fk(?)2196 4965 y Fw(,)i(is)e(smeared)h(according)f(to)
47779 h(a)f(Gaussian)709 5074 y(distribution)25 b(with)i(standard)g
47780 (deviation)f Fq(PARU\(55\))p Fn(\002)2758 4997 y(p)p
47781 2844 4997 132 4 v 2844 5074 a Fj(E)2916 5089 y Fk(?)2975
47782 5074 y Fw(,)i(where)g Fj(E)3378 5089 y Fk(?)3465 5074
47783 y Fw(is)e(giv)m(en)709 5182 y(in)c(GeV.)h(The)g(Gaussian)f(is)h(cut)g
47784 (o\013)f(so)h(that)g(0)k Fj(<)h(E)2594 5197 y Fk(?)p
47785 Fl(smeared)2932 5182 y Fj(<)p Fq(PARU\(56\))p Fn(\002)p
47786 Fj(E)3565 5197 y Fk(?)p Fl(true)3752 5182 y Fw(.)236
47787 5290 y Fq(=)52 b(2)f(:)217 b Fw(as)34 b Fq(=1)p Fw(,)h(but)f(it)f(is)g
47788 (the)i(energy)g Fj(E)40 b Fw(rather)34 b(than)g(the)g(transv)m(erse)i
47789 (energy)g Fj(E)3508 5305 y Fk(?)3601 5290 y Fw(that)709
47790 5399 y(is)c(smeared.)0 5507 y Fq(MSTU\(54\))53 b(:)48
47791 b Fw(\(D=1\))33 b(form)g(for)h(presen)m(tation)h(of)f(information)d(ab)
47792 s(out)j(reconstructed)i(clusters)f(in)472 5615 y Fq(LUCELL)p
47793 Fw(,)g(as)d(stored)i(in)d Fq(LUJETS)k Fw(according)d(to)g(the)h
47794 Fq(MSTU\(43\))h Fw(v)-5 b(alue.)1817 5953 y(309)p eop
47795 %%Page: 310 316
47796 310 315 bop 236 -18 a Fq(=)52 b(1)f(:)217 b Fw(the)31
47797 b Fq(P)g Fw(v)m(ector)g(in)f(eac)m(h)i(line)d(con)m(tains)i
47798 Fj(\021)j Fw(and)d Fj(')g Fw(for)f(the)h(geometric)e(origin)g(of)h(the)
47799 709 90 y(jet,)i Fj(\021)37 b Fw(and)32 b Fj(')h Fw(for)f(the)h(w)m
47800 (eigh)m(ted)g(cen)m(ter)h(of)e(the)h(jet,)g(and)g(jet)f
47801 Fj(E)3118 105 y Fk(?)3177 90 y Fw(,)h(resp)s(ectiv)m(ely)-8
47802 b(.)236 198 y Fq(=)52 b(2)f(:)217 b Fw(the)30 b Fq(P)g
47803 Fw(v)m(ector)h(in)d(eac)m(h)j(line)e(con)m(tains)g(a)h(massless)g
47804 (four-v)m(ector)g(giving)e(the)i(direc-)709 307 y(tion)h(of)h(the)h
47805 (jet,)g(obtained)f(as)709 415 y(\()p Fj(p)796 430 y Fh(x)839
47806 415 y Fj(;)17 b(p)932 430 y Fh(y)974 415 y Fj(;)g(p)1067
47807 430 y Fh(z)1106 415 y Fj(;)g(E)6 b(;)17 b(m)p Fw(\))27
47808 b(=)h Fj(E)1598 430 y Fk(?)1657 415 y Fw(\(cos)17 b Fj(';)g
47809 Fw(sin)f Fj(';)h Fw(sinh)f Fj(\021)t(;)h Fw(cosh)g Fj(\021)t(;)g
47810 Fw(0\),)709 523 y(where)41 b Fj(\021)i Fw(and)d Fj(')f
47811 Fw(giv)m(e)h(the)g(w)m(eigh)m(ted)g(cen)m(ter)h(of)f(a)f(jet)h(and)f
47812 Fj(E)3108 538 y Fk(?)3207 523 y Fw(its)g(transv)m(erse)709
47813 632 y(energy)-8 b(.)236 740 y Fq(=)52 b(3)f(:)217 b Fw(the)47
47814 b Fq(P)g Fw(v)m(ector)h(in)e(eac)m(h)h(line)f(con)m(tains)g(a)h(massiv)
47815 m(e)g(four-v)m(ector,)j(obtained)d(b)m(y)709 848 y(adding)27
47816 b(the)i(massless)f(four-v)m(ectors)h(of)f(all)e(cells)h(that)h(form)f
47817 (part)h(of)g(the)g(jet,)h(and)709 957 y(calculating)g(the)j(jet)g(mass)
47818 g(from)f Fj(m)2065 920 y Fl(2)2132 957 y Fw(=)d Fj(E)2314
47819 920 y Fl(2)2374 957 y Fn(\000)21 b Fj(p)2521 920 y Fl(2)2521
47820 981 y Fh(x)2585 957 y Fn(\000)g Fj(p)2732 920 y Fl(2)2732
47821 981 y Fh(y)2794 957 y Fn(\000)g Fj(p)2941 920 y Fl(2)2941
47822 981 y Fh(z)2981 957 y Fw(.)43 b(F)-8 b(or)31 b(eac)m(h)i(cell,)e(the)
47823 709 1065 y(total)h Fj(E)1015 1080 y Fk(?)1109 1065 y
47824 Fw(is)i(summed)g(up,)h(and)g(then)g(translated)f(in)m(to)f(a)h
47825 (massless)h(four-v)m(ector)709 1173 y(assuming)c(that)i(all)d(the)j
47826 Fj(E)1719 1188 y Fk(?)1811 1173 y Fw(w)m(as)h(dep)s(osited)e(in)g(the)h
47827 (cen)m(ter)h(of)e(the)h(cell.)0 1282 y Fq(MSTU\(61\))53
47828 b(:)48 b Fw(\(I\))27 b(\014rst)h(en)m(try)h(for)e(storage)g(of)g(ev)m
47829 (en)m(t-analysis)h(information)d(in)h(last)h(ev)m(en)m(t)i(analyzed)472
47830 1390 y(with)k Fq(LUSPHE)p Fw(,)h Fq(LUTHRU)p Fw(,)g Fq(LUCLUS)g
47831 Fw(or)e Fq(LUCELL)p Fw(.)0 1498 y Fq(MSTU\(62\))53 b(:)48
47832 b Fw(\(R\))27 b(n)m(um)m(b)s(er)h(of)f(particles/partons)f(used)j(in)d
47833 (the)i(last)f(ev)m(en)m(t)i(analysis)e(with)g Fq(LUSPHE)p
47834 Fw(,)472 1607 y Fq(LUTHRU)p Fw(,)35 b Fq(LUCLUS)p Fw(,)f
47835 Fq(LUCELL)p Fw(,)g Fq(LUJMAS)p Fw(,)g Fq(LUFOWO)g Fw(or)f
47836 Fq(LUTABU)p Fw(.)0 1715 y Fq(MSTU\(63\))53 b(:)48 b Fw(\(R\))26
47837 b(in)g(a)h Fq(LUCLUS)h Fw(call,)e(the)h(n)m(um)m(b)s(er)g(of)g
47838 (preclusters)h(constructed)g(in)e(order)h(to)f(sp)s(eed)472
47839 1823 y(up)34 b(analysis)f(\(should)h(b)s(e)g(equal)f(to)g
47840 Fq(MSTU\(62\))j Fw(if)j Fq(PARU\(43\)=0.)p Fw(\).)50
47841 b(In)34 b(a)f Fq(LUCELL)i Fw(call,)472 1932 y(the)e(n)m(um)m(b)s(er)g
47842 (of)g(cells)e(hit.)0 2040 y Fq(MSTU\(161\),)54 b(MSTU\(162\))g(:)47
47843 b Fw(hard)30 b(\015a)m(v)m(ours)h(in)m(v)m(olv)m(ed)f(in)f(curren)m(t)h
47844 (ev)m(en)m(t,)i(as)e(used)h(in)e(an)g(analysis)472 2148
47845 y(with)41 b Fq(LUTABU\(11\))p Fw(.)70 b(Either)40 b(or)h(b)s(oth)f(ma)m
47846 (y)h(b)s(e)f(set)i(0,)g(to)e(indicate)g(the)h(presence)i(of)472
47847 2257 y(one)32 b(or)g(none)g(hard)f(\015a)m(v)m(ours)i(in)e(ev)m(en)m
47848 (t.)45 b(Is)32 b(normally)e(set)i(b)m(y)g(high-lev)m(el)e(routines,)i
47849 (lik)m(e)472 2365 y Fq(LUEEVT)j Fw(or)d Fq(PYEVNT)p Fw(,)i(but)f(can)g
47850 (also)e(b)s(e)i(set)g(b)m(y)h(y)m(ou.)0 2528 y Fq(PARU\(41\))53
47851 b(:)48 b Fw(\(D=2.\))e(p)s(o)m(w)m(er)35 b(of)e(momen)m(tum-dep)s
47852 (endence)i(in)e Fq(LUSPHE)p Fw(,)i(default)f(corresp)s(onds)h(to)472
47853 2636 y(sphericit)m(y)-8 b(,)33 b Fq(=1.)44 b Fw(to)33
47854 b(linear)e(ev)m(en)m(t)j(measures.)0 2744 y Fq(PARU\(42\))53
47855 b(:)48 b Fw(\(D=1.\))e(p)s(o)m(w)m(er)35 b(of)e(momen)m(tum-dep)s
47856 (endence)i(in)e Fq(LUTHRU)p Fw(,)i(default)f(corresp)s(onds)h(to)472
47857 2853 y(thrust.)0 2961 y Fq(PARU\(43\))53 b(:)48 b Fw(\(D=0.25)g(GeV\))h
47858 (maxim)m(um)e(distance)j Fj(d)2171 2976 y Fl(init)2329
47859 2961 y Fw(allo)m(w)m(ed)f(in)f Fq(LUCLUS)j Fw(when)g(forming)472
47860 3069 y(starting)44 b(clusters)h(used)h(to)e(sp)s(eed)i(up)f
47861 (reconstruction.)79 b(The)46 b(meaning)d(of)h(the)h(pa-)472
47862 3178 y(rameter)f(is)g(in)g Fj(p)1132 3193 y Fk(?)1235
47863 3178 y Fw(for)g Fq(MSTU\(46\))p Fn(\024)50 b Fw(2)45
47864 b(and)f(in)g Fj(m)g Fw(for)g Fq(MSTU\(46\))p Fn(\025)50
47865 b Fw(3.)79 b(If)51 b Fq(=0.)p Fw(,)e(no)472 3286 y(preclustering)34
47866 b(is)g(obtained.)48 b(If)34 b(c)m(hosen)i(to)s(o)d(large,)h(more)f
47867 (joining)f(ma)m(y)i(b)s(e)h(generated)472 3394 y(at)28
47868 b(this)h(stage)f(than)h(is)f(desirable.)41 b(The)29 b(main)e
47869 (application)f(is)i(at)g(high)f(energies,)j(where)472
47870 3503 y(some)24 b(sp)s(eedup)i(is)e(imp)s(erativ)m(e,)g(and)g(the)h
47871 (small)d(details)h(are)h(not)g(so)g(imp)s(ortan)m(t)f(an)m(yw)m(a)m(y)
47872 -8 b(.)0 3611 y Fq(PARU\(44\))53 b(:)48 b Fw(\(D=2.5)30
47873 b(GeV\))h(maxim)m(um)e(distance)j Fj(d)2050 3626 y Fl(join)2169
47874 3611 y Fw(,)g(b)s(elo)m(w)f(whic)m(h)g(it)g(is)f(allo)m(w)m(ed)h(to)g
47875 (join)f(t)m(w)m(o)472 3719 y(clusters)35 b(in)m(to)d(one)i(in)e
47876 Fq(LUCLUS)p Fw(.)j(Is)f(used)h(for)e Fq(MSTU\(46\))p
47877 Fn(\024)e Fw(3)j(and)f Fq(=5)p Fw(,)h(i.e.)46 b(b)s(oth)33
47878 b(for)g Fj(p)3721 3734 y Fk(?)472 3828 y Fw(and)g(mass)g(distance)g
47879 (measure.)0 3936 y Fq(PARU\(45\))53 b(:)48 b Fw(\(D=0.05\))32
47880 b(maxim)m(um)f(distance)j Fj(y)1878 3951 y Fl(join)2027
47881 3936 y Fw(=)29 b Fj(m)2217 3900 y Fl(2)2257 3936 y Fj(=E)2384
47882 3900 y Fl(2)2378 3961 y(vis)2501 3936 y Fw(or)k(ditto)f(with)i
47883 Fj(m)3169 3900 y Fl(2)3238 3936 y Fn(!)29 b Fj(p)3416
47884 3900 y Fl(2)3416 3961 y Fk(?)3475 3936 y Fw(,)34 b(b)s(elo)m(w)472
47885 4044 y(whic)m(h)41 b(it)d(is)i(allo)m(w)m(ed)f(to)g(join)f(t)m(w)m(o)j
47886 (clusters)f(in)m(to)f(one)h(in)f Fq(LUCLUS)i Fw(for)f
47887 Fq(MSTU\(46\)=4,)472 4153 y(=6)p Fw(.)0 4261 y Fq(PARU\(48\))53
47888 b(:)48 b Fw(\(D=0.0001\))20 b(con)m(v)m(ergence)25 b(criterion)20
47889 b(for)i(thrust)g(\(in)f Fq(LUTHRU)p Fw(\))j(or)d(generalized)h(thrust)
47890 472 4369 y(\(in)36 b Fq(LUCLUS)p Fw(\),)h(or)f(relativ)m(e)g(c)m(hange)
47891 h(of)e Fj(m)2035 4333 y Fl(2)2035 4394 y(H)2117 4369
47892 y Fw(+)25 b Fj(m)2303 4333 y Fl(2)2303 4394 y(L)2387
47893 4369 y Fw(\(in)36 b Fq(LUJMAS)p Fw(\),)h(i.e.)54 b(when)37
47894 b(the)g(v)-5 b(alue)472 4478 y(c)m(hanges)26 b(b)m(y)f(less)f(than)g
47895 (this)f(amoun)m(t)h(b)s(et)m(w)m(een)i(t)m(w)m(o)e(iterations)f(the)h
47896 (pro)s(cess)h(is)f(stopp)s(ed.)0 4586 y Fq(PARU\(51\))53
47897 b(:)48 b Fw(\(D=2.5\))h(de\014nes)j(maxim)m(um)c(absolute)j
47898 (pseudorapidit)m(y)f(used)i(for)e(detector)h(as-)472
47899 4694 y(sumed)33 b(in)f Fq(LUCELL)p Fw(.)0 4803 y Fq(PARU\(52\))53
47900 b(:)48 b Fw(\(D=1.5)36 b(GeV\))h(giv)m(es)g(minim)m(um)d
47901 Fj(E)1934 4818 y Fk(?)2030 4803 y Fw(for)j(a)f(cell)g(to)h(b)s(e)g
47902 (considered)h(as)f(a)g(p)s(oten)m(tial)472 4911 y(jet)c(initiator)c(b)m
47903 (y)35 b Fq(LUCELL)p Fw(.)0 5019 y Fq(PARU\(53\))53 b(:)48
47904 b Fw(\(D=7.0)e(GeV\))i(giv)m(es)g(minim)m(um)c(summed)j
47905 Fj(E)2376 5034 y Fk(?)2483 5019 y Fw(for)g(a)g(collection)f(of)h(cells)
47906 g(to)g(b)s(e)472 5128 y(accepted)34 b(as)f(a)g(jet.)0
47907 5262 y Fq(PARU\(54\))53 b(:)48 b Fw(\(D=1.\))86 b(giv)m(es)48
47908 b(the)g(maxim)m(um)c(distance)k(in)e Fj(R)54 b Fw(=)2635
47909 5162 y Fg(q)p 2718 5162 629 4 v 100 x Fw(\(\001)p Fj(\021)t
47910 Fw(\))2927 5233 y Fl(2)2988 5262 y Fw(+)22 b(\(\001)p
47911 Fj(')p Fw(\))3307 5233 y Fl(2)3394 5262 y Fw(from)46
47912 b(cell)472 5386 y(initiator)30 b(when)k(grouping)d(cells)h(to)g(c)m
47913 (hec)m(k)j(whether)f(they)f(qualify)f(as)h(a)f(jet.)0
47914 5494 y Fq(PARU\(55\))53 b(:)48 b Fw(\(D=0.5\))e(when)i(smearing)e(the)h
47915 (transv)m(erse)j(energy)e(\(or)f(energy)-8 b(,)51 b(see)d
47916 Fq(MSTU\(53\))p Fw(\))472 5612 y(in)37 b Fq(LUCELL)p
47917 Fw(,)i(the)e(calorimeter)e(cell)h(resolution)g(is)h(tak)m(en)h(to)f(b)s
47918 (e)g Fq(PARU\(55\))p Fn(\002)3401 5535 y(p)p 3487 5535
47919 132 4 v 3487 5612 a Fj(E)3559 5627 y Fk(?)3655 5612 y
47920 Fw(\(or)1817 5953 y(310)p eop
47921 %%Page: 311 317
47922 311 316 bop 472 -18 a Fq(PARU\(55\))p Fn(\002)957 -102
47923 y(p)p 1043 -102 79 4 v 1043 -18 a Fj(E)6 b Fw(\))33 b(for)f
47924 Fj(E)1413 -3 y Fk(?)1504 -18 y Fw(\(or)h Fj(E)6 b Fw(\))32
47925 b(in)g(GeV.)0 90 y Fq(PARU\(56\))53 b(:)48 b Fw(\(D=2.\))55
47926 b(maxim)m(um)35 b(factor)h(of)h(up)m(w)m(ard)h(\015uctuation)f(in)f
47927 (transv)m(erse)j(energy)f(or)e(en-)472 198 y(ergy)46
47928 b(in)e(a)h(giv)m(en)g(cell)f(when)i(calorimeter)d(resolution)h(is)h
47929 (included)g(in)f Fq(LUCELL)i Fw(\(see)472 307 y Fq(MSTU\(53\))p
47930 Fw(\).)0 415 y Fq(PARU\(57\))53 b(:)48 b Fw(\(D=3.2\))35
47931 b(maxim)m(um)g(rapidit)m(y)g(\(or)i(pseudorapidit)m(y)f(or)h(pion)f
47932 (rapidit)m(y)-8 b(,)36 b(dep)s(ending)472 523 y(on)d
47933 Fq(MSTU\(42\))p Fw(\))i(used)e(in)f(the)h(factorial)d(momen)m(ts)i
47934 (analysis)g(in)g Fq(LUTABU)p Fw(.)0 632 y Fq(PARU\(58\))53
47935 b(:)48 b Fw(\(D=0.)87 b(GeV\))47 b(in)g(a)g Fq(LUCELL)i
47936 Fw(call,)g(cells)e(with)g(a)g(transv)m(erse)j(energy)e
47937 Fj(E)3429 647 y Fk(?)3536 632 y Fw(b)s(elo)m(w)472 740
47938 y Fq(PARP\(58\))39 b Fw(are)d(remo)m(v)m(ed)g(from)f(further)i
47939 (consideration.)52 b(This)37 b(ma)m(y)e(b)s(e)i(used)g(to)f(rep-)472
47940 848 y(resen)m(t)c(a)e(threshold)h(in)e(an)h(actual)g(calorimeter,)f(or)
47941 g(ma)m(y)i(b)s(e)f(c)m(hosen)i(just)f(to)f(sp)s(eed)h(up)472
47942 957 y(the)i(algorithm)d(in)i(a)g(high-m)m(ultiplicit)m(y)c(en)m
47943 (vironmen)m(t..)0 1065 y Fq(PARU\(61\))53 b(:)48 b Fw(\(I\))43
47944 b(in)m(v)-5 b(arian)m(t)42 b(mass)i Fj(W)57 b Fw(of)43
47945 b(a)g(system)i(analyzed)e(with)h Fq(LUCLUS)h Fw(or)e
47946 Fq(LUJMAS)p Fw(,)i(with)472 1173 y(energies)34 b(calculated)d
47947 (according)h(to)g(the)h Fq(MSTU\(42\))i Fw(v)-5 b(alue.)0
47948 1282 y Fq(PARU\(62\))53 b(:)48 b Fw(\(R\))32 b(the)i(generalized)e
47949 (thrust)h(obtained)g(after)f(a)h(successful)h Fq(LUCLUS)h
47950 Fw(call,)c(i.e.)44 b(ratio)472 1390 y(of)33 b(summed)f(cluster)h(momen)
47951 m(ta)e(and)i(summed)f(particle)f(momen)m(ta.)0 1498 y
47952 Fq(PARU\(63\))53 b(:)48 b Fw(\(R\))29 b(the)h(minim)m(um)c(distance)k
47953 Fj(d)f Fw(b)s(et)m(w)m(een)i(t)m(w)m(o)g(clusters)f(in)e(the)i(\014nal)
47954 f(cluster)h(con\014g-)472 1607 y(uration)i(after)g(a)g(successful)j
47955 Fq(LUCLUS)f Fw(call;)d(is)h(0)g(if)g(only)g(one)h(cluster)f(left.)1817
47956 5953 y(311)p eop
47957 %%Page: 312 318
47958 312 317 bop 0 -18 a Ft(16)161 b(Summary)52 b(and)i(Outlo)t(ok)0
47959 189 y Fw(A)22 b(complete)f(description)h(of)f(the)h Fm(Pythia/Jetset)g
47960 Fw(programs)f(w)m(ould)g(ha)m(v)m(e)j(to)d(co)m(v)m(er)j(four)d(asp)s
47961 (ects:)119 302 y(1.)49 b(the)33 b(basic)f(philosoph)m(y)h(and)f
47962 (principles)g(underlying)g(the)h(programs;)119 419 y(2.)49
47963 b(the)28 b(detailed)f(ph)m(ysics)j(scenarios)e(implemen)m(ted,)f(with)h
47964 (all)e(the)i(necessary)i(compromises)d(and)244 528 y(appro)m
47965 (ximations;)119 646 y(3.)49 b(the)24 b(structure)g(of)f(the)h(implemen)
47966 m(tation,)e(including)g(program)g(\015o)m(w,)k(in)m(ternal)c(v)-5
47967 b(ariable)21 b(names)244 754 y(and)33 b(programming)c(tric)m(ks;)k(and)
47968 119 872 y(4.)49 b(the)33 b(man)m(ual,)e(whic)m(h)i(describ)s(es)h(ho)m
47969 (w)f(to)f(use)i(the)f(programs.)0 985 y(Of)25 b(these)h(asp)s(ects,)i
47970 (the)e(\014rst)f(has)h(b)s(een)g(dealt)e(with)h(in)f(reasonable)h
47971 (detail.)40 b(The)26 b(second)g(is)f(unev)m(enly)0 1093
47972 y(co)m(v)m(ered:)45 b(in)31 b(depth)h(for)f(asp)s(ects)i(whic)m(h)f
47973 (are)g(not)f(discussed)i(an)m(ywhere)h(else,)e(more)f(summarily)e(for)0
47974 1201 y(areas)e(where)h(separate)g(up-to-date)e(pap)s(ers)i(already)f
47975 (exist.)41 b(The)28 b(third)f(is)f(not)h(included)f(at)h(all,)f(but)0
47976 1310 y(`left)33 b(as)i(an)f(exercise')i(for)d(the)i(reader,)g(to)f
47977 (\014gure)h(out)f(from)f(the)h(co)s(de)h(itself.)47 b(The)35
47978 b(fourth,)g(\014nally)-8 b(,)0 1418 y(should)41 b(b)s(e)f(largely)g(co)
47979 m(v)m(ered,)k(although)c(man)m(y)h(further)g(commen)m(ts)f(could)g(ha)m
47980 (v)m(e)i(b)s(een)g(made,)g(in)0 1526 y(particular)32
47981 b(ab)s(out)i(the)g(in)m(terpla)m(y)g(b)s(et)m(w)m(een)i(di\013eren)m(t)
47982 e(parts)h(of)e(the)i(programs.)47 b(Still,)32 b(in)h(the)i(end,)0
47983 1635 y(no)d(man)m(ual,)g(ho)m(w)m(ev)m(er)j(complete,)d(can)g
47984 (substitute)i(for)e(`hands)h(on')g(exp)s(erience.)146
47985 1743 y(The)40 b Fm(Pythia/Jetset)d Fw(programs)h(are)h(con)m(tin)m
47986 (uously)f(b)s(eing)g(dev)m(elop)s(ed.)62 b(W)-8 b(e)39
47987 b(are)g(a)m(w)m(are)g(of)0 1851 y(man)m(y)33 b(shortcomings,)e(whic)m
47988 (h)j(hop)s(efully)d(will)f(b)s(e)j(addressed)h(in)e(the)h(future,)g
47989 (suc)m(h)h(as:)145 1965 y Fn(\017)49 b Fw(p)s(olarization)23
47990 b(e\013ects)29 b(should)e(b)s(e)g(included)f(in)g(more)h(places,)h(in)e
47991 (particular)f(for)i Fj(\034)38 b Fw(pro)s(duction)244
47992 2073 y(and)33 b(deca)m(y;)145 2191 y Fn(\017)49 b Fw(the)33
47993 b(photopro)s(duction)f(and)g Fj(\015)5 b(\015)g Fw(-ph)m(ysics)34
47994 b(scenarios)f(should)f(b)s(e)h(expanded;)145 2308 y Fn(\017)49
47995 b Fw(man)m(y)32 b(pro)s(cesses)j(of)d(in)m(terest)h(are)g(missing;)e
47996 (and)145 2426 y Fn(\017)49 b Fw(mass)23 b(relations)f(and)i(couplings)e
47997 (need)j(to)e(b)s(e)g(included)g(b)s(ey)m(ond)i(the)f(Born)f(lev)m(el)g
47998 (in)g(the)g(MSSM)244 2535 y(t)m(w)m(o)33 b(Higgs)f(doublet)g(scenario.)
47999 0 2648 y(This)d(list)e(could)h(ha)m(v)m(e)i(b)s(een)g(made)e(m)m(uc)m
48000 (h)h(longer)f(\(I)h(almost)e(certainly)g(missed)i(y)m(our)g(top)g
48001 (priorit)m(y\).)0 2756 y(One)23 b(other)h(asp)s(ect)g(w)m(ould)f(b)s(e)
48002 g(to)g(pro)m(vide)g(more)g(and)g(longer)f(examples)h(of)g(w)m(orking)g
48003 (main)e(programs)0 2864 y(for)32 b(a)g(n)m(um)m(b)s(er)h(of)f(standard)
48004 h(applications.)146 2973 y(Apart)j(from)f(these)i(ph)m(ysics)h(asp)s
48005 (ects,)g(one)e(ma)m(y)g(also)f(w)m(orry)i(ab)s(out)e(the)i(programming)
48006 c(ones.)0 3081 y(F)-8 b(or)31 b(instance,)h(for)f(historical)e
48007 (reasons,)k(single)d(precision)h(real)f(is)h(used)i(almost)d(ev)m
48008 (erywhere.)46 b(With)0 3189 y(the)31 b(push)g(to)f(higher)g(energies,)h
48009 (this)f(is)g(b)s(ecoming)f(more)g(and)h(more)g(of)g(a)g(problem,)f(so)i
48010 (it)e(w)m(ould)h(b)s(e)0 3298 y(logical)f(to)k(mo)m(v)m(e)g(to)f
48011 (double)g(precision)g(throughout.)146 3406 y(One)c(should)e(also)g
48012 (note)i(that)e(the)i Fm(Jetset)d Fw(and)i Fm(Pythia)h
48013 Fw(programs)e(these)i(da)m(ys)g(are)f(b)s(ecoming)0 3514
48014 y(so)45 b(in)m(tert)m(wined,)i(that)d(it)g(w)m(ould)g(mak)m(e)h(sense)h
48015 (to)e(join)f(them)h(in)m(to)g(one)g(single)g(program.)77
48016 b(This)0 3623 y(w)m(ould)35 b(e.g.)52 b(mean)35 b(that)g(the)h(curren)m
48017 (t)h(e)1518 3587 y Fl(+)1577 3623 y Fw(e)1620 3587 y
48018 Fk(\000)1715 3623 y Fw(generation)d(routines)i(of)41
48019 b Fm(Jetset)35 b Fw(are)g(made)g(part)g(of)0 3731 y(the)30
48020 b(generic)f Fm(Pythia)g Fw(pro)s(cess)i(generation)d(mac)m(hinery)h(|)g
48021 (this)g(is)f(particular)g(a\013ects)i(the)f(matrix-)0
48022 3839 y(elemen)m(t)i(options,)h(since)g(e)1009 3803 y
48023 Fl(+)1068 3839 y Fw(e)1111 3803 y Fk(\000)1202 3839 y
48024 Fw(ev)m(en)m(ts)i(with)d(parton)g(sho)m(w)m(ers)j(already)d(are)g(a)m
48025 (v)-5 b(ailable)29 b(in)i Fm(Pythia)p Fw(.)0 3948 y(A)37
48026 b(join)m(t)e(pro)s(duct)i(w)m(ould)f(lik)m(ely)g(adopt)g(the)h(name)f
48027 Fm(Pythia)p Fw(:)51 b(although)36 b Fm(Jetset)f Fw(is)h(the)h(older)f
48028 (of)0 4056 y(the)29 b(t)m(w)m(o)f(programs,)h(it)e(has)h(a)g(less)g(w)m
48029 (ell)g(dev)m(elop)s(ed)h(iden)m(tit)m(y)f(of)f(its)h(o)m(wn.)43
48030 b(\(It)28 b(is)f(also)h(often)g(referred)0 4164 y(to)h(as)g(`Lund',)i
48031 (whic)m(h)f(to)s(da)m(y)f(is)g(more)f(confusing)h(than)g(it)g(w)m(as)h
48032 (in)e(the)i(early)f(da)m(ys.\))43 b(In)30 b(the)f(pro)s(cess)0
48033 4273 y(of)g(joining)e(the)j(programs,)g(one)f(w)m(ould)h(probably)f
48034 (also)g(remo)m(v)m(e)h(a)f(n)m(um)m(b)s(er)h(of)f(options)g(that)g(are)
48035 h(no)0 4381 y(longer)i(used.)146 4489 y(Another)41 b(p)s(ossible)f(c)m
48036 (hange)i(on)e(longer)g(time)f(scales)i(w)m(ould)g(b)s(e)g(an)f(in)m
48037 (tro)s(duction)f(of)h(F)-8 b(ortran)0 4598 y(90)35 b(programming)d
48038 (elemen)m(ts.)51 b(In)35 b(particular,)g(deriv)m(ed)h(data)e(t)m(yp)s
48039 (es)j(could)d(b)s(e)i(used)g(to)f(de\014ne)h(the)0 4706
48040 y(ev)m(en)m(t)j(record)f(as)g(a)g(one-dimensional)c(arra)m(y)-8
48041 b(,)39 b(where)g(eac)m(h)g(elemen)m(t)e(represen)m(ts)j(a)d(particle,)h
48042 (with)0 4815 y(in)m(teger)32 b(and)h(real)f(comp)s(onen)m(ts)h(to)f
48043 (giv)m(e)h(\015a)m(v)m(our,)g(history)-8 b(,)33 b(momen)m(tum)e(and)h
48044 (pro)s(duction)g(v)m(ertex.)146 4923 y(No)h(timetable)e(is)h(set)i(up)f
48045 (for)f(future)h(c)m(hanges.)46 b(After)33 b(all,)d(this)j(is)f(not)h(a)
48046 f(professionally)g(main-)0 5031 y(tained)44 b(soft)m(w)m(are)i(pro)s
48047 (duct,)i(but)c(part)h(of)f(a)g(one-man)g(ph)m(ysics)i(researc)m(h)g
48048 (pro)5 b(ject.)80 b(V)-8 b(ery)45 b(often,)0 5140 y(dev)m(elopmen)m(ts)
48049 38 b(of)e(the)g(programs)g(ha)m(v)m(e)i(come)e(ab)s(out)g(as)g(a)g
48050 (direct)h(resp)s(onse)g(to)g(the)f(ev)m(olution)g(of)0
48051 5248 y(the)31 b(ph)m(ysics)h(stage,)g(i.e.)42 b(exp)s(erimen)m(tal)30
48052 b(results)h(and)f(studies)i(for)e(future)h(accelerators.)43
48053 b(Hop)s(efully)-8 b(,)0 5356 y(the)33 b(program)e(will)f(k)m(eep)35
48054 b(on)d(ev)m(olving)g(in)g(step)i(with)e(the)h(new)g(c)m(hallenges)g(op)
48055 s(ening)f(up.)1817 5953 y(312)p eop
48056 %%Page: 313 319
48057 313 318 bop 0 -18 a Ft(References)0 189 y Fw([Abb87])187
48058 b(A.)27 b(Abbasabadi)f(and)g(W.)h(Repk)m(o,)h(Ph)m(ys.)g(Lett.)f
48059 Fo(B199)f Fw(\(1987\))f(286;)i(Ph)m(ys.)i(Rev.)e Fo(D37)520
48060 297 y Fw(\(1988\))32 b(2668;)520 405 y(W.)h(Repk)m(o)g(and)g(G.L.)f
48061 (Kane,)h(priv)-5 b(ate)32 b(comm)m(unication)0 597 y([AFS87])177
48062 b(AFS)33 b(Collab)s(oration,)c(T.)1516 579 y(\027)1516
48063 597 y(Ak)m(esson)35 b(et)d(al.,)g(Z.)g(Ph)m(ys.)j Fo(C34)d
48064 Fw(\(1987\))g(163;)520 705 y(UA2)h(Collab)s(oration,)c(J.)k(Alitti)c
48065 (et)k(al.,)f(Ph)m(ys.)i(Lett.)f Fo(B268)f Fw(\(1991\))g(145;)520
48066 813 y(L.)h(Keeble)f(\(CDF)h(Collab)s(oration\),)c
48067 (FERMILAB-CONF-92-161-E)h(\(1992\))0 1005 y([ALE92])168
48068 b(ALEPH)34 b(Collab)s(oration,)29 b(D.)j(Buskulic)g(et)h(al.,)f(Ph)m
48069 (ys.)i(Lett.)f Fo(B292)f Fw(\(1992\))g(210)0 1196 y([Ali80])239
48070 b(A.)39 b(Ali,)f(J.G.)h(K\177)-49 b(orner,)40 b(G.)e(Kramer)g(and)g(J.)
48071 h(Willro)s(dt,)e(Nucl.)i(Ph)m(ys.)h Fo(B168)f Fw(\(1980\))520
48072 1304 y(409;)520 1413 y(A.)h(Ali,)h(E.)f(Pietarinen,)h(G.)f(Kramer)f
48073 (and)h(J.)h(Willro)s(dt,)e(Ph)m(ys.)j(Lett.)e Fo(B93)g
48074 Fw(\(1980\))520 1521 y(155)0 1712 y([Ali80a])190 b(A.)31
48075 b(Ali,)f(J.G.)h(K\177)-49 b(orner,)31 b(Z.)g(Kunszt,)h(E.)f
48076 (Pietarinen,)g(G.)g(Kramer,)f(G.)h(Sc)m(hierholz)f(and)520
48077 1821 y(J.)j(Willro)s(dt,)d(Nucl.)i(Ph)m(ys.)i Fo(B167)f
48078 Fw(\(1980\))e(454)0 2012 y([Ali82])239 b(A.)33 b(Ali,)e(Ph)m(ys.)j
48079 (Lett.)f Fo(B110)f Fw(\(1982\))g(67;)520 2120 y(A.)47
48080 b(Ali)d(and)i(F.)g(Barreiro,)j(Ph)m(ys.)f(Lett.)e Fo(B118)g
48081 Fw(\(1982\))f(155;)53 b(Nucl.)46 b(Ph)m(ys.)i Fo(B236)520
48082 2229 y Fw(\(1984\))32 b(269)0 2420 y([Ali88])239 b(A.)23
48083 b(Ali)f(et)h(al.,)h(in)e(`Pro)s(ceedings)i(of)e(the)i(HERA)f(W)-8
48084 b(orkshop',)26 b(ed.)e(R.D.)e(P)m(eccei)i(\(DESY,)520
48085 2528 y(Ham)m(burg,)32 b(1988\),)g(V)-8 b(ol.)31 b(1,)i(p.)g(395;)520
48086 2637 y(M.)g(Bilenky)f(and)h(G.)f(d'Agostini,)g(priv)-5
48087 b(ate)32 b(comm)m(unication)e(\(1991\))0 2828 y([Alt77])229
48088 b(G.)32 b(Altarelli)d(and)k(G.)f(P)m(arisi,)g(Nucl.)g(Ph)m(ys.)j
48089 Fo(B126)d Fw(\(1977\))f(298)0 3020 y([Alt78])229 b(G.)32
48090 b(Altarelli)d(and)k(G.)f(Martinelli,)e(Ph)m(ys.)k(Lett.)f
48091 Fo(76B)f Fw(\(1978\))g(89)0 3211 y([Alt89])229 b(G.)32
48092 b(Altarelli,)d(B.)k(Mele)g(and)g(M.)g(Ruiz-Altaba,)d(Z.)i(Ph)m(ys.)j
48093 Fo(C45)d Fw(\(1989\))g(109)0 3402 y([Ama80])164 b(D.)31
48094 b(Amati,)e(A.)i(Bassetto,)h(M.)g(Ciafaloni,)c(G.)j(Marc)m(hesini)g(and)
48095 g(G.)f(V)-8 b(eneziano,)32 b(Nucl.)520 3511 y(Ph)m(ys.)j
48096 Fo(B173)d Fw(\(1980\))f(429;)520 3619 y(G.)h(Curci,)h(W.)g(F)-8
48097 b(urmanski)31 b(and)i(R.)f(P)m(etronzio,)h(Nucl.)f(Ph)m(ys.)j
48098 Fo(B175)d Fw(\(1980\))g(27)0 3810 y([And79])187 b(B.)33
48099 b(Andersson,)h(G.)e(Gustafson)h(and)g(C.)g(P)m(eterson,)h(Z.)e(Ph)m
48100 (ys.)j Fo(C1)d Fw(\(1979\))g(105;)520 3919 y(B.)h(Andersson)h(and)f(G.)
48101 f(Gustafson,)h(Z.)f(Ph)m(ys.)i Fo(C3)f Fw(\(1980\))e(22;)520
48102 4027 y(B.)40 b(Andersson,)k(G.)39 b(Gustafson)i(and)f(T.)g(Sj\177)-49
48103 b(ostrand,)42 b(Z.)e(Ph)m(ys.)i Fo(C6)e Fw(\(1980\))f(235;)k(Z.)520
48104 4135 y(Ph)m(ys.)35 b Fo(C12)d Fw(\(1982\))g(49)0 4327
48105 y([And80])187 b(B.)33 b(Andersson,)h(G.)e(Gustafson)h(and)g(T.)g
48106 (Sj\177)-49 b(ostrand,)33 b(Ph)m(ys.)h(Lett.)f Fo(B94)f
48107 Fw(\(1980\))g(211)0 4518 y([And81])187 b(B.)49 b(Andersson,)54
48108 b(G.)48 b(Gustafson,)k(I.)d(Holgersson)f(and)h(O.)f(M)-12
48109 b(\027)-61 b(ansson,)53 b(Nucl.)c(Ph)m(ys.)520 4626 y
48110 Fo(B178)32 b Fw(\(1981\))g(242)0 4818 y([And81a])138
48111 b(B.)44 b(Andersson,)49 b(G.)44 b(Gustafson,)j(G.)d(Ingelman)f(and)i
48112 (T.)f(Sj\177)-49 b(ostrand,)48 b(Z.)43 b(Ph)m(ys.)k Fo(C9)520
48113 4926 y Fw(\(1981\))32 b(233)0 5118 y([And82])187 b(B.)33
48114 b(Andersson,)h(G.)e(Gustafson)h(and)g(T.)g(Sj\177)-49
48115 b(ostrand,)33 b(Nucl.)f(Ph)m(ys.)j Fo(B197)d Fw(\(1982\))f(45)0
48116 5309 y([And82a])138 b(B.)33 b(Andersson)h(and)f(G.)f(Gustafson,)h(LU)f
48117 (TP)i(82-5)d(\(1982\))0 5500 y([And83])187 b(B.)37 b(Andersson,)j(G.)d
48118 (Gustafson,)h(G.)f(Ingelman)e(and)i(T.)h(Sj\177)-49 b(ostrand,)38
48119 b(Ph)m(ys.)h(Rep.)e Fo(97)520 5609 y Fw(\(1983\))32 b(31)1817
48120 5953 y(313)p eop
48121 %%Page: 314 320
48122 314 319 bop 0 -18 a Fw([And83a])138 b(B.)33 b(Andersson,)h(G.)e
48123 (Gustafson)h(and)g(B.)f(S\177)-49 b(oderb)s(erg,)33 b(Z.)g(Ph)m(ys.)h
48124 Fo(C20)f Fw(\(1983\))e(317)0 171 y([And85])187 b(B.)29
48125 b(Andersson,)i(G.)d(Gustafson)h(and)g(T.)g(Sj\177)-49
48126 b(ostrand,)30 b(Ph)m(ysica)g(Scripta)e Fo(32)h Fw(\(1985\))e(574)0
48127 361 y([Ans90])203 b(F.)28 b(Anselmo)f(et)h(al.,)g(in)f(`Large)h(Hadron)
48128 g(Collider)e(W)-8 b(orkshop',)30 b(eds.)f(G.)f(Jarlsk)m(og)f(and)520
48129 469 y(D.)32 b(Rein,)g(CERN)i(90-10)d(\(Genev)-5 b(a,1990\),)32
48130 b(V)-8 b(ol.)31 b(I)s(I,)i(p.)g(130)0 659 y([App92])187
48131 b(T.)33 b(App)s(elquist)g(and)f(G.)g(T)-8 b(rian)m(taph)m(yllou,)32
48132 b(Ph)m(ys.)i(P)m(ev.)g(Lett.)f Fo(69)g Fw(\(1992\))e(2750)0
48133 848 y([Art74])219 b(X.)33 b(Artru)g(and)f(G.)g(Mennessier,)j(Nucl.)d
48134 (Ph)m(ys.)j Fo(B70)d Fw(\(1974\))f(93)0 1038 y([Art83])219
48135 b(X.)33 b(Artru,)g(Ph)m(ys.)h(Rep.)f Fo(97)g Fw(\(1983\))e(147)0
48136 1227 y([Bab80])196 b(J.B.)33 b(Bab)s(co)s(c)m(k)g(and)g(R.E.)g(Cutk)m
48137 (osky)-8 b(,)35 b(Nucl.)d(Ph)m(ys.)j Fo(B176)d Fw(\(1980\))g(113;)520
48138 1336 y(J.)h(Dorfan,)e(Z.)i(Ph)m(ys.)h Fo(C7)f Fw(\(1981\))e(349;)520
48139 1444 y(H.J.)i(Daum,)e(H.)i(Mey)m(er)i(and)d(J.)h(B)s(\177)-51
48140 b(urger,)32 b(Z.)g(Ph)m(ys.)j Fo(C8)d Fw(\(1981\))g(167;)520
48141 1552 y(K.)h(Lanius,)f(H.E.)h(Rolo\013)e(and)i(H.)f(Sc)m(hiller,)g(Z.)g
48142 (Ph)m(ys.)i Fo(C8)f Fw(\(1981\))e(251;)520 1661 y(M.C.)j(Go)s(ddard,)e
48143 (Rutherford)g(preprin)m(t)h(RL-81-069)d(\(1981\);)520
48144 1769 y(A.)j(B\177)-49 b(ac)m(k)m(er,)34 b(Z.)e(Ph)m(ys.)j
48145 Fo(C12)d Fw(\(1982\))g(161)0 1959 y([Bag82])201 b(J.A.)33
48146 b(Bagger)f(and)h(J.F.)f(Gunion,)g(Ph)m(ys.)j(Rev.)e Fo(D25)f
48147 Fw(\(1982\))g(2287)0 2148 y([Bai83])222 b(R.)33 b(Baier)e(and)i(R.)f(R)
48148 s(\177)-51 b(uc)m(kl,)32 b(Z.)g(Ph)m(ys.)j Fo(C19)d Fw(\(1983\))g(251)0
48149 2338 y([Bar88])212 b(R.M.)33 b(Barnett,)g(H.E.)g(Hab)s(er)g(and)f(D.E.)
48150 h(Sop)s(er,)g(Nucl.)f(Ph)m(ys.)j Fo(B306)d Fw(\(1988\))f(697)0
48151 2527 y([Bar90])212 b(T.L.)33 b(Barklo)m(w,)g(SLA)m(C-PUB-5364)f
48152 (\(1990\))0 2717 y([Bar90a])163 b(V.Barger,)41 b(K.)f(Cheung,)i(T.)e
48153 (Han)f(and)h(R.J.N.)f(Phillips,)g(Ph)m(ys.)i(Rev.)f Fo(D42)g
48154 Fw(\(1990\))520 2825 y(3052)0 3015 y([Bar94])212 b(D.)29
48155 b(Bardin,)g(M.)h(Bilenky)-8 b(,)29 b(D.)g(Lehner,)i(A.)e(Olc)m(hevski)h
48156 (and)f(T.)h(Riemann,)f(Nucl.)g(Ph)m(ys)520 3123 y Fo(B)p
48157 Fw(,)j(Pro)s(c.)h(Suppl.)g Fo(37B)f Fw(\(1994\))f(148;)520
48158 3232 y(D.)h(Bardin,)g(priv)-5 b(ate)32 b(comm)m(unication)0
48159 3421 y([Bas78])212 b(C.)33 b(Basham,)f(L.)h(Bro)m(wn,)g(S.)g(Ellis)e
48160 (and)h(S.)h(Lo)m(v)m(e,)h(Ph)m(ys.)g(Rev.)g(Lett.)e Fo(41)h
48161 Fw(\(1978\))e(1585)0 3611 y([Bas83])212 b(A.)33 b(Bassetto,)g(M.)g
48162 (Ciafaloni)d(and)j(G,)f(Marc)m(hesini,)h(Ph)m(ys.)h(Rep.)f
48163 Fo(100)g Fw(\(1983\))e(202)0 3800 y([Bau90])196 b(U.)33
48164 b(Baur,)g(M.)g(Spira)e(and)i(P)-8 b(.)33 b(M.)g(Zerw)m(as,)g(Ph)m(ys.)i
48165 (Rev.)e Fo(D42)f Fw(\(1990\))g(815)0 3990 y([Bee96])213
48166 b(W.)29 b(Beenakk)m(er)h(et)f(al.,)f(in)f(`Ph)m(ysics)j(at)e(LEP2',)i
48167 (eds.)g(G.)d(Altarelli,)f(T.)j(Sj\177)-49 b(ostrand)28
48168 b(and)520 4098 y(F.)k(Zwirner,)h(CERN)g(96-01)e(\(Genev)-5
48169 b(a,)33 b(1996\),)f(V)-8 b(ol.)31 b(1,)h(p.)h(79)0 4288
48170 y([Ben84])202 b(H.-U.)33 b(Bengtsson,)h(Computer)e(Ph)m(ysics)i(Comm)m
48171 (un.)f Fo(31)f Fw(\(1984\))g(323)0 4478 y([Ben84a])153
48172 b(H.-U.)33 b(Bengtsson)g(and)g(G.)f(Ingelman,)g(LU)g(TP)i(84-3,)d
48173 (Ref.TH.3820-CERN)i(\(1984\))0 4667 y([Ben85])202 b(H.-U.)41
48174 b(Bengtsson)h(and)f(G.)g(Ingelman,)h(Computer)f(Ph)m(ysics)h(Comm)m
48175 (un.)f Fo(34)g Fw(\(1985\))520 4775 y(251)0 4965 y([Ben85a])153
48176 b(H.-U.)39 b(Bengtsson,)j(W.-S.)d(Hou,)i(A.)e(Soni)g(and)g(D.H.)f
48177 (Stork,)k(Ph)m(ys.)e(Rev.)g(Lett.)f Fo(55)520 5073 y
48178 Fw(\(1985\))32 b(2762)0 5263 y([Ben87])202 b(H.-U.)40
48179 b(Bengtsson)i(and)e(T.)h(Sj\177)-49 b(ostrand,)43 b(Computer)d(Ph)m
48180 (ysics)i(Comm)m(un.)e Fo(46)h Fw(\(1987\))520 5371 y(43)0
48181 5561 y([Ben87a])153 b(M.)39 b(Bengtsson)h(and)f(T.)g(Sj\177)-49
48182 b(ostrand,)41 b(Ph)m(ys.)f(Lett.)f Fo(B185)f Fw(\(1987\))g(435;)j
48183 (Nucl.)e(Ph)m(ys.)520 5669 y Fo(B289)32 b Fw(\(1987\))g(810)1817
48184 5953 y(314)p eop
48185 %%Page: 315 321
48186 315 320 bop 0 -18 a Fw([Ben87b])148 b(M.)33 b(C.)g(Ben)m(to)g(and)g(C.)
48187 g(H.)g(Llew)m(ellyn)f(Smith,)f(Nucl.)h(Ph)m(ys.)j Fo(B289)d
48188 Fw(\(1987\))g(36)0 173 y([Ben88])202 b(M.)33 b(Bengtsson)h(and)f(T.)g
48189 (Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)i Fo(C37)f
48190 Fw(\(1988\))e(465)0 364 y([Ber81])218 b(E.L.)33 b(Berger)g(and)g(D.)f
48191 (Jones,)h(Ph)m(ys.)i(Rev.)e Fo(D23)g Fw(\(1981\))e(1521)0
48192 556 y([Ber82])218 b(F.A.)37 b(Berends,)k(R.)c(Kleiss)g(and)g(S.)h
48193 (Jadac)m(h,)h(Nucl.)e(Ph)m(ys.)j Fo(B202)d Fw(\(1982\))f(63;)j(Com-)520
48194 664 y(puter)33 b(Ph)m(ysics)i(Comm)m(un.)d Fo(29)g Fw(\(1983\))g(185)0
48195 855 y([Ber84])218 b(E.)33 b(L.)g(Berger,)g(E.)g(Braaten)f(and)h(R.)f
48196 (D.)h(Field,)e(Nucl.)h(Ph)m(ys.)i Fo(B239)f Fw(\(1984\))e(52)0
48197 1047 y([Ber85])218 b(F.A.)33 b(Berends)h(and)e(R.)h(Kleiss,)f(Nucl.)g
48198 (Ph)m(ys.)j Fo(B260)d Fw(\(1985\))f(32)0 1238 y([Ber85a])169
48199 b(L.)33 b(Bergstr\177)-49 b(om)32 b(and)g(G.)h(Hulth,)f(Nucl.)g(Ph)m
48200 (ys.)j Fo(B259)d Fw(\(1985\))f(137)0 1429 y([Ber89])218
48201 b(F.A.)33 b(Berends)i(et)f(al.,)e(in)h(`Z)f(Ph)m(ysics)j(at)e(LEP)h
48202 (1',)g(eds.)g(G.)f(Altarelli,)d(R.)j(Kleiss)f(and)520
48203 1538 y(C.)h(V)-8 b(erzegnassi,)34 b(CERN)f(89-08)e(\(Genev)-5
48204 b(a,)33 b(1989\),)f(V)-8 b(ol.)31 b(1,)h(p.)h(89)0 1729
48205 y([Bet89])218 b(S.)33 b(Bethk)m(e,)h(Z.)f(Ph)m(ys.)h
48206 Fo(C43)e Fw(\(1989\))g(331)0 1920 y([Bet92])218 b(S.)27
48207 b(Bethk)m(e,)i(Z.)d(Kunszt,)i(D.E.)f(Sop)s(er)f(and)h(W.J.)f(Stirling,)
48208 f(Nucl.)h(Ph)m(ys.)j Fo(B370)d Fw(\(1992\))520 2029 y(310)0
48209 2220 y([Bia86])222 b(A.)33 b(Bia )-27 b(las)31 b(and)h(R.)h(P)m(esc)m
48210 (hanski,)i(Nucl.)d(Ph)m(ys.)j Fo(B273)d Fw(\(1986\))f(703)0
48211 2412 y([Bjo70])220 b(J.D.)32 b(Bjork)m(en)i(and)f(S.J.)g(Bro)s(dsky)-8
48212 b(,)33 b(Ph)m(ys.)i(Rev.)e Fo(D1)f Fw(\(1970\))g(1416)0
48213 2603 y([Bot93])212 b(J.)33 b(Botts)g(et)f(al.,)g(Ph)m(ys.)i(Lett.)f
48214 Fo(B304)g Fw(\(1993\))e(159)0 2794 y([Bo)m(w81])183 b(M.G.)33
48215 b(Bo)m(wler,)f(Z.)h(Ph)m(ys.)h Fo(C11)f Fw(\(1981\))e(169)0
48216 2986 y([Bra64])212 b(S.)46 b(Brandt,)j(Ch.)e(P)m(eyrou,)j(R.)c(Sosno)m
48217 (wski)h(and)f(A.)g(W)-8 b(roblewski,)49 b(Ph)m(ys.)e(Lett.)f
48218 Fo(12)520 3094 y Fw(\(1964\))32 b(57;)520 3202 y(E.)h(F)-8
48219 b(ahri,)31 b(Ph)m(ys.)k(Rev.)e(Lett.)g Fo(39)f Fw(\(1977\))g(1587)0
48220 3394 y([Bra79])212 b(S.)33 b(Brandt)g(and)f(H.D.)h(Dahmen,)f(Z.)g(Ph)m
48221 (ys.)i Fo(C1)f Fw(\(1979\))e(61)0 3585 y([Bru89])207
48222 b(R.)33 b(Brun)f(et)h(al.,)f(GEANT)h(3,)f(CERN)i(rep)s(ort)e
48223 (DD/EE/84-1)f(\(1989\))0 3776 y([Bru93])207 b(P)-8 b(.)33
48224 b(Bruni)f(and)h(G.)f(Ingelman,)f(in)h(preparation)0 3968
48225 y([Cah84])195 b(R.N.)33 b(Cahn)g(and)g(S.)f(Da)m(wson,)h(Ph)m(ys.)i
48226 (Lett.)e Fo(136B)f Fw(\(1984\))g(196;)520 4076 y(R.N.)h(Cahn,)g(Nucl.)f
48227 (Ph)m(ys.)j Fo(B255)d Fw(\(1985\))g(341;)520 4184 y(G.)g(Altarelli,)d
48228 (B.)k(Mele)g(and)g(F.)f(Pitolli,)d(Nucl.)j(Ph)m(ys.)j
48229 Fo(B287)d Fw(\(1987\))g(205)0 4376 y([Cat91])211 b(S.)27
48230 b(Catani,)g(Y)-8 b(u.)26 b(L.)h(Dokshitzer,)g(M.)g(Olsson,)h(G.)e(T)-8
48231 b(urno)s(c)m(k)27 b(and)g(B.R.)f(W)-8 b(ebb)s(er,)29
48232 b(Ph)m(ys.)520 4484 y(Lett.)k Fo(B269)f Fw(\(1991\))g(432)0
48233 4676 y([Chi90])216 b(P)-8 b(.)36 b(Chiapp)s(etta)g(and)g(M.)g(P)m
48234 (errottet,)i(in)d(`Large)h(Hadron)g(Collider)e(W)-8 b(orkshop',)37
48235 b(eds.)520 4784 y(G.)32 b(Jarlsk)m(og)h(and)f(D.)g(Rein,)g(CERN)i
48236 (90-10)d(\(Genev)-5 b(a,)33 b(1990\),)e(V)-8 b(ol.)32
48237 b(I)s(I,)g(p.)h(806)0 4975 y([Cha85])195 b(M.)33 b(Chano)m(witz)g(and)g
48238 (M.K.)g(Gaillard,)c(Nucl.)j(Ph)m(ys.)j Fo(B261)d Fw(\(1985\))g(379)0
48239 5167 y([Che75])201 b(M.-S.)33 b(Chen)h(and)e(P)-8 b(.)33
48240 b(Zerw)m(as,)h(Ph)m(ys.)g(Rev.)f Fo(D12)g Fw(\(1975\))e(187;)520
48241 5275 y(P)-8 b(.)33 b(Zerw)m(as,)h(priv)-5 b(ate)31 b(comm)m(unication)g
48242 (\(1991\))0 5466 y([Ch)m(u55])193 b(A.E.)33 b(Ch)m(udak)m(o)m(v,)i
48243 (Izv.)f(Ak)-5 b(ad.)33 b(Nauk)g(SSSR,)g(Ser.)g(Fiz.)f
48244 Fo(19)g Fw(\(1955\))g(650)1817 5953 y(315)p eop
48245 %%Page: 316 322
48246 316 321 bop 0 -18 a Fw([Cia87])221 b(M.)33 b(Ciafaloni,)d(Nucl.)i(Ph)m
48247 (ys.)j Fo(B296)d Fw(\(1987\))f(249;)520 90 y(S.)i(Catani,)f(F.)g
48248 (Fiorani)e(and)j(G.)f(Marc)m(hesini,)h(Nucl.)f(Ph)m(ys.)j
48249 Fo(B336)d Fw(\(1990\))f(18;)520 198 y(G.)h(Marc)m(hesini)h(and)g(B.R.)f
48250 (W)-8 b(ebb)s(er,)34 b(Nucl.)e(Ph)m(ys.)j Fo(B349)d Fw(\(1991\))f(617)0
48251 388 y([Cla79])221 b(L.)33 b(Cla)m(v)m(elli,)d(Ph)m(ys.)35
48252 b(Lett.)e Fo(B85)f Fw(\(1979\))f(111;)520 496 y(A.V.)i(Smilga,)d(Nucl.)
48253 i(Ph)m(ys.)j Fo(B161)d Fw(\(1979\))g(449;)520 604 y(L.)h(Cla)m(v)m
48254 (elli)d(and)j(D.)f(Wyler,)h(Ph)m(ys.)h(Lett.)f Fo(103B)f
48255 Fw(\(1981\))g(383)0 794 y([Co)s(c91])203 b(D.)23 b(Co)s(colicc)m(hio,)g
48256 (F.)g(F)-8 b(eruglio,)23 b(G.L.)f(F)-8 b(ogli)21 b(and)i(J.)g(T)-8
48257 b(erron,)26 b(Ph)m(ys.)e(Lett.)g Fo(B255)f Fw(\(1991\))520
48258 902 y(599;)520 1011 y(F.)32 b(F)-8 b(eruglio,)31 b(priv)-5
48259 b(ate)32 b(comm)m(unication)e(\(1990\))0 1200 y([Com77])167
48260 b(B.L.)33 b(Com)m(bridge,)f(J.)h(Kripfganz)e(and)i(J.)g(Ranft,)f(Ph)m
48261 (ys.)i(Lett.)f Fo(70B)f Fw(\(1977\))g(234;)520 1309 y(R.)h(Cutler)f
48262 (and)h(D.)f(Siv)m(ers,)h(Ph)m(ys.)i(Rev.)e Fo(D17)f Fw(\(1978\))g(196)0
48263 1498 y([Com79])167 b(B.L.)33 b(Com)m(bridge,)f(Nucl.)g(Ph)m(ys.)j
48264 Fo(B151)d Fw(\(1979\))g(429)0 1688 y([Con71])195 b(V.)33
48265 b(Constan)m(tini,)f(B.)h(de)g(T)-8 b(ollis)30 b(and)j(G.)f(Pistoni,)f
48266 (Nuo)m(v)m(o)j(Cim.)d Fo(2A)i Fw(\(1971\))e(733)0 1877
48267 y([Dan82])190 b(D.)39 b(Danc)m(k)-5 b(aert,)40 b(P)-8
48268 b(.)39 b(De)g(Causmaec)m(k)m(er,)k(R.)38 b(Gastmans,)i(W.)f(T)-8
48269 b(ro)s(ost)39 b(and)g(T.T.)h(W)-8 b(u,)520 1986 y(Ph)m(ys.)35
48270 b(Lett.)d Fo(B114)h Fw(\(1982\))e(203)0 2175 y([DeR75])178
48271 b(A.)33 b(De)f(R)s(\023)-51 b(ujula,)31 b(H.)h(Georgi)f(and)i(S.L)g
48272 (Glasho)m(w,)f(Ph)m(ys.)j(Rev.)e Fo(D12)f Fw(\(1975\))g(147)0
48273 2365 y([Dic86])222 b(D.A.)33 b(Dicus)f(and)g(S.S.D.)h(Willen)m(bro)s(c)
48274 m(k,)f(Ph)m(ys.)i(Rev.)f Fo(D34)g Fw(\(1986\))e(155)0
48275 2555 y([Dic88])222 b(D.A.)33 b(Dicus)f(and)g(S.S.D.)h(Willen)m(bro)s(c)
48276 m(k,)f(Ph)m(ys.)i(Rev.)f Fo(D37)g Fw(\(1988\))e(1801)0
48277 2744 y([Din79])211 b(M.)33 b(Dine)f(and)h(J.)f(Sapirstein,)g(Ph)m(ys.)j
48278 (Rev.)e(Lett.)g Fo(43)f Fw(\(1979\))g(668;)520 2852 y(K.G.)g(Chet)m
48279 (yrkin)i(et)f(al.,)f(Ph)m(ys.)i(Lett.)f Fo(B85)f Fw(\(1979\))g(277;)520
48280 2961 y(W.)h(Celmaster)f(and)h(R.J.)f(Gonsalv)m(es,)i(Ph)m(ys.)g(Rev.)f
48281 (Lett.)g Fo(44)g Fw(\(1980\))e(560)0 3150 y([Dob91])190
48282 b(A.)33 b(Dobado,)f(M.J.)h(Herrero)g(and)g(J.)f(T)-8
48283 b(erron,)33 b(Z.)g(Ph)m(ys.)h Fo(C50)f Fw(\(1991\))e(205,)h
48284 Fi(ibid.)g Fw(465)0 3340 y([Dok89])193 b(Y)-8 b(u.L.)41
48285 b(Dokshitzer,)h(V.A.)f(Khoze)f(and)h(S.I.)f(T)-8 b(ro)m(y)m(an,)44
48286 b(in)39 b(`P)m(erturbativ)m(e)j(QCD',)e(ed.)520 3448
48287 y(A.H.)33 b(Mueller)f(\(W)-8 b(orld)32 b(Scien)m(ti\014c,)g(Singap)s
48288 (ore,)g(1989\),)g(p.)g(241)0 3638 y([Dok92])193 b(Y)-8
48289 b(u.L.)43 b(Dokshitzer,)i(V.A.)d(Khoze)h(and)g(T.)g(Sj\177)-49
48290 b(ostrand,)45 b(Ph)m(ys.)f(Lett.)e Fo(B274)h Fw(\(1992\))520
48291 3746 y(116)0 3936 y([Don92])190 b(A.)33 b(Donnac)m(hie)f(and)h(P)-8
48292 b(.V.)33 b(Landsho\013,)g(Ph)m(ys.)h(Lett.)f Fo(B296)g
48293 Fw(\(1992\))e(227)0 4125 y([Dre85])212 b(M.)33 b(Drees)g(and)g(K.)f
48294 (Grassie,)h(Z.)f(Ph)m(ys.)i Fo(C28)f Fw(\(1985\))e(451)0
48295 4315 y([Dre89])212 b(M.)33 b(Drees,)g(J.)g(Ellis)e(and)h(D.)h(Zepp)s
48296 (enfeld,)f(Ph)m(ys.)j(Lett.)d Fo(B223)h Fw(\(1989\))e(454)0
48297 4505 y([Dre91])212 b(M.)33 b(Drees)g(and)g(C.S.)g(Kim,)e(Z.)h(Ph)m(ys.)
48298 j Fo(C53)d Fw(\(1991\))g(673.)0 4694 y([Duk82])188 b(D.W.)33
48299 b(Duk)m(e)g(and)g(J.F.)f(Ow)m(ens,)i(Ph)m(ys.)h(Rev.)e
48300 Fo(D26)g Fw(\(1982\))e(1600)0 4884 y([Dun86])185 b(M.J.)33
48301 b(Duncan,)g(G.L.)f(Kane)h(and)g(W.W.)g(Repk)m(o,)g(Nucl.)g(Ph)m(ys.)h
48302 Fo(B272)f Fw(\(1986\))e(517)0 5073 y([Eic84])231 b(E.)35
48303 b(Eic)m(h)m(ten,)g(I.)g(Hinc)m(hli\013e,)e(K.)h(Lane)g(and)h(C.)f
48304 (Quigg,)f(Rev.)i(Mo)s(d.)f(Ph)m(ys.)i Fo(56)f Fw(\(1984\))520
48305 5182 y(579;)d(Rev.)h(Mo)s(d.)g(Ph)m(ys.)h Fo(58)f Fw(\(1985\))f(1065)0
48306 5371 y([Eij90])244 b(B.)46 b(v)-5 b(an)46 b(Eijk)g(and)g(R.)g(Kleiss,)j
48307 (in)c(`Large)h(Hadron)g(Collider)d(W)-8 b(orkshop',)51
48308 b(eds.)c(G.)520 5480 y(Jarlsk)m(og)32 b(and)h(D.)f(Rein,)g(CERN)i
48309 (90-10)d(\(Genev)-5 b(a,)32 b(1990\),)g(V)-8 b(ol.)32
48310 b(I)s(I,)g(p.)h(183)0 5669 y([Ell76])246 b(J.)33 b(Ellis,)e(M.K.)i
48311 (Gaillard)c(and)j(G.G.)g(Ross,)h(Nucl.)g(Ph)m(ys.)h Fo(B111)e
48312 Fw(\(1976\))g(253)1817 5953 y(316)p eop
48313 %%Page: 317 323
48314 317 322 bop 0 -18 a Fw([Ell79])246 b(J.)33 b(Ellis)e(and)h(I.)h
48315 (Karliner,)e(Nucl.)h(Ph)m(ys.)j Fo(B148)d Fw(\(1979\))f(141)0
48316 173 y([Ell81])246 b(R.K.)33 b(Ellis,)d(D.A.)j(Ross)g(and)f(A.E.)i(T)-8
48317 b(errano,)32 b(Nucl.)h(Ph)m(ys.)h Fo(B178)f Fw(\(1981\))e(421)0
48318 364 y([Ell86])246 b(R.K.)33 b(Ellis)d(and)j(J.C.)g(Sexton,)h(Nucl.)e
48319 (Ph)m(ys.)i Fo(B269)f Fw(\(1986\))e(445)0 556 y([Ell88])246
48320 b(R.K.)35 b(Ellis,)g(I.)h(Hinc)m(hli\013e,)f(M.)h(Soldate)f(and)g(J.J.)
48321 h(v)-5 b(an)36 b(der)g(Bij,)f(Nucl.)g(Ph)m(ys.)j Fo(B297)520
48322 664 y Fw(\(1988\))32 b(221)0 855 y([F)-8 b(ab82])209
48323 b(K.)32 b(F)-8 b(abricius,)31 b(G.)h(Kramer,)g(G.)g(Sc)m(hierholz)g
48324 (and)g(I.)h(Sc)m(hmitt,)e(Z.)h(Ph)m(ys.)i Fo(C11)f Fw(\(1982\))520
48325 964 y(315)0 1155 y([F)-8 b(ad90])209 b(V.)33 b(F)-8 b(adin,)31
48326 b(V.)i(Khoze)g(and)g(T.)g(Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)i
48327 Fo(C48)f Fw(\(1990\))e(613)0 1346 y([Fie78])233 b(R.D.)32
48328 b(Field)f(and)i(R.P)-8 b(.)33 b(F)-8 b(eynman,)32 b(Nucl.)g(Ph)m(ys.)j
48329 Fo(B136)d Fw(\(1978\))g(1)0 1538 y([F)-8 b(on81])209
48330 b(M.)33 b(F)-8 b(on)m(tannaz,)33 b(B.)f(Pire)h(and)f(D.)h(Sc)m(hi\013,)
48331 f(Z.)g(Ph)m(ys.)j Fo(C11)d Fw(\(1981\))g(211)0 1729 y([F)-8
48332 b(o)m(x79])215 b(G.C.)33 b(F)-8 b(o)m(x)32 b(and)h(S.)g(W)-8
48333 b(olfram,)30 b(Nucl.)j(Ph)m(ys.)h Fo(B149)e Fw(\(1979\))g(413)0
48334 1920 y([Gab86])188 b(E.)33 b(Gabrielli,)c(Mo)s(d.)k(Ph)m(ys.)h(Lett.)f
48335 Fo(A1)f Fw(\(1986\))g(465)0 2112 y([Gae80])199 b(K.J.F.)33
48336 b(Gaemers)f(and)h(J.A.M.)g(V)-8 b(ermaseren,)33 b(Z.)f(Ph)m(ys.)j
48337 Fo(C7)d Fw(\(1980\))g(81)0 2303 y([Gas87])204 b(R.)33
48338 b(Gastmans,)f(W.)g(T)-8 b(ro)s(ost)33 b(and)g(T.T.)g(W)-8
48339 b(u,)33 b(Ph)m(ys.)i(Lett.)d Fo(B184)h Fw(\(1987\))e(257)0
48340 2495 y([Glo88])214 b(E.W.N.)34 b(Glo)m(v)m(er,)e(A.D.)g(Martin)g(and)h
48341 (W.J.)g(Stirling,)d(Z.)i(Ph)m(ys.)j Fo(C38)d Fw(\(1988\))g(473)0
48342 2686 y([Glu92])209 b(M.)33 b(Gl)s(\177)-51 b(uc)m(k,)32
48343 b(E.)h(Rey)m(a)g(and)g(A.)f(V)-8 b(ogt,)32 b(Z.)h(Ph)m(ys.)h
48344 Fo(C53)f Fw(\(1992\))e(127)0 2877 y([Glu92a])160 b(M.)33
48345 b(Gl)s(\177)-51 b(uc)m(k,)32 b(E.)h(Rey)m(a)g(and)g(A.)f(V)-8
48346 b(ogt,)32 b(Z.)h(Ph)m(ys.)h Fo(C53)f Fw(\(1992\))e(651)0
48347 3069 y([Got82])204 b(T.D.)33 b(Gottsc)m(halk,)f(Ph)m(ys.)j(Lett.)e
48348 Fo(B109)f Fw(\(1982\))f(331;)520 3177 y(T.D.)41 b(Gottsc)m(halk)f(and)h
48349 (M.P)-8 b(.)42 b(Shatz,)h(Ph)m(ys.)f(Lett.)f Fo(B150)f
48350 Fw(\(1985\))g(451,)i(CAL)-8 b(T-68-)520 3285 y(1172)32
48351 b(\(1984\))0 3477 y([Got86])204 b(T.D.)33 b(Gottsc)m(halk,)f(Nucl.)h
48352 (Ph)m(ys.)h Fo(B277)e Fw(\(1986\))g(700)0 3668 y([Gri72])225
48353 b(V.N.)33 b(Grib)s(o)m(v)f(and)g(L.N.)h(Lipato)m(v,)f(So)m(v.)i(J.)e
48354 (Nucl.)h(Ph)m(ys.)h Fo(15)f Fw(\(1972\))e(438,)h Fi(ibid.)g
48355 Fw(75;)520 3776 y(Y)-8 b(u.)33 b(L.)g(Dokshitzer,)f(So)m(v.)i(J.)e(Ph)m
48356 (ys.)j(JETP)f Fo(46)e Fw(\(1977\))g(641)0 3968 y([Gri83])225
48357 b(L.V.)33 b(Grib)s(o)m(v,)f(E.M.)h(Levin)g(and)f(M.G.)h(Ryskin,)g(Ph)m
48358 (ys.)i(Rep.)e Fo(100)f Fw(\(1983\))g(1)0 4159 y([Gro81])204
48359 b(T.R.)33 b(Grose)g(and)f(K.O.)h(Mik)-5 b(aelian,)30
48360 b(Ph)m(ys.)35 b(Rev.)e Fo(D23)f Fw(\(1981\))g(123)0 4351
48361 y([G)s(\177)-51 b(ul93])208 b(St.)23 b(G)s(\177)-51 b(ullenstern,)22
48362 b(P)-8 b(.)23 b(G\023)-49 b(ornic)m(ki,)23 b(L.)f(Mankiewicz)h(and)f
48363 (A.)g(Sc)m(h\177)-49 b(afer,)26 b(Nucl.)c(Ph)m(ys.)i
48364 Fo(A560)520 4459 y Fw(\(1993\))32 b(494)0 4650 y([Gun86])183
48365 b(J.F.)33 b(Gunion)e(and)i(Z.)f(Kunszt,)i(Ph)m(ys.)g(Rev.)f
48366 Fo(D33)g Fw(\(1986\))e(665;)520 4759 y(errata)h(as)h(priv)-5
48367 b(ate)32 b(comm)m(unication)e(from)i(the)h(authors)0
48368 4950 y([Gun87])183 b(J.F.)38 b(Gunion,)g(H.E.)h(Hab)s(er,)g(F.E.)f(P)m
48369 (aige,)h(W.-K.)f(T)-8 b(ung)38 b(and)g(S.S.D.)g(Willen)m(bro)s(c)m(k,)
48370 520 5058 y(Nucl.)33 b(Ph)m(ys.)h Fo(B294)e Fw(\(1987\))g(621)0
48371 5250 y([Gun90])183 b(J.F.)27 b(Gunion,)f(H.E.)i(Hab)s(er,)f(G.)g(Kane)f
48372 (and)h(S.)g(Da)m(wson,)h(The)f(Higgs)f(Hun)m(ter's)i(Guide)520
48373 5358 y(\(Addison-W)-8 b(esley)g(,)33 b(1990\);)520 5466
48374 y(A.)g(Djouadi,)e(priv)-5 b(ate)32 b(comm)m(unication)e(\(1991\))0
48375 5658 y([Gus82])199 b(G.)32 b(Gustafson,)h(Z.)f(Ph)m(ys.)j
48376 Fo(C15)d Fw(\(1982\))g(155)1817 5953 y(317)p eop
48377 %%Page: 318 324
48378 318 323 bop 0 -18 a Fw([Gut84])199 b(F.)32 b(Gutbro)s(d,)h(G.)f(Kramer)
48379 f(and)i(G.)f(Sc)m(hierholz,)h(Z.)f(Ph)m(ys.)i Fo(C21)f
48380 Fw(\(1984\))e(235)0 173 y([Gut87])199 b(F.)29 b(Gutbro)s(d,)g(G.)f
48381 (Kramer,)h(G.)f(Rudolph)g(and)h(G.)f(Sc)m(hierholz,)i(Z.)e(Ph)m(ys.)j
48382 Fo(C35)e Fw(\(1987\))520 281 y(543)0 473 y([Hag91])197
48383 b(K.)41 b(Hagiw)m(ara,)i(H.)e(Iw)m(asaki,)j(A.)d(Miy)m(amoto,)i(H.)e
48384 (Mura)m(y)m(ama)g(and)h(D.)e(Zepp)s(enfeld,)520 581 y(Nucl.)33
48385 b(Ph)m(ys.)h Fo(B365)e Fw(\(1991\))g(544)0 772 y([Hal78])218
48386 b(F.)32 b(Halzen)h(and)g(D.)f(M.)h(Scott,)f(Ph)m(ys.)j(Rev.)e
48387 Fo(D18)g Fw(\(1978\))e(3378)0 964 y([Her)p Fm(bc)p Fw(])195
48388 b(Hero)s(dotus)33 b(of)f(Halicarnassus,)h(`The)g(Histories')f(\(circa)g
48389 (430)g Fm(bc)p Fw(\),)520 1072 y(translation)37 b(to)h(English)g(e.g.)h
48390 (b)m(y)h(A.)f(de)g(S)m(\023)-46 b(elincourt)38 b(\(1954\),)h(a)m(v)-5
48391 b(ailable)36 b(in)i(P)m(enguin)520 1180 y(Classics)0
48392 1372 y([HER92])157 b(`Ph)m(ysics)35 b(at)d(HERA',)i(eds.)g(W)f(Buc)m
48393 (hm)s(\177)-51 b(uller)31 b(and)i(G.)f(Ingelman)g(\(DESY,)h(Ham)m
48394 (burg,)520 1480 y(1992\),)f(V)-8 b(ol.)31 b(3)0 1671
48395 y([Hew88])182 b(J.L.)34 b(Hew)m(ett)h(and)e(S.)h(P)m(akv)-5
48396 b(asa,)34 b(Ph)m(ys.)i(Rev.)e Fo(D37)f Fw(\(1988\))g(3165,)f(and)i
48397 (priv)-5 b(ate)33 b(com-)520 1780 y(m)m(unication)e(from)g(the)i
48398 (authors)0 1971 y([Ho)m(y79])198 b(P)-8 b(.)31 b(Ho)m(y)m(er,)i(P)-8
48399 b(.)31 b(Osland,)g(H.G.)g(Sander,)h(T.F.)f(W)-8 b(alsh)31
48400 b(and)g(P)-8 b(.M.)32 b(Zerw)m(as,)g(Nucl.)f(Ph)m(ys.)520
48401 2079 y Fo(B161)h Fw(\(1979\))g(349)0 2271 y([Ing80])230
48402 b(G.)32 b(Ingelman)g(and)g(T.)h(Sj\177)-49 b(ostrand,)33
48403 b(LUTP)h(80-12)d(\(1980\);)520 2379 y(G.)41 b(Ingelman,)h(in)e(`Ph)m
48404 (ysics)j(at)d(HERA',)i(eds.)g(W.)f(Buc)m(hm)s(\177)-51
48405 b(uller)39 b(and)i(G.)g(Ingelman)520 2488 y(\(DESY,)33
48406 b(Ham)m(burg,)f(1992\),)g(V)-8 b(ol.)31 b(3,)i(p.)f(1366)0
48407 2679 y([Ing85])230 b(G.)32 b(Ingelman)g(and)g(P)-8 b(.E.)34
48408 b(Sc)m(hlein,)e(Ph)m(ys.)j(Lett.)d Fo(152B)h Fw(\(1985\))e(256)0
48409 2870 y([Ing87])230 b(G.)32 b(Ingelman,)g(Computer)g(Ph)m(ysics)j(Comm)m
48410 (un.)d Fo(46)g Fw(\(1987\))g(217)0 3062 y([Ing87a])181
48411 b(G.)32 b(Ingelman)g(and)g(A.)h(W)-8 b(eigend,)33 b(Computer)f(Ph)m
48412 (ysics)j(Comm)m(un.)d Fo(46)g Fw(\(1987\))g(241)0 3253
48413 y([Ing87b])176 b(G.)30 b(Ingelman)g(et)g(al.,)g(in)g(`Pro)s(ceedings)h
48414 (of)f(the)h(HERA)g(W)-8 b(orkshop',)32 b(ed.)f(R.D.)f(P)m(eccei)520
48415 3361 y(\(DESY,)j(Ham)m(burg,)f(1988\),)g(V)-8 b(ol.)31
48416 b(1,)i(p.)f(3)0 3553 y([Ing88])230 b(G.)32 b(Ingelman)g(and)g(G.A.)h
48417 (Sc)m(h)m(uler,)g(Z.)g(Ph)m(ys.)h Fo(C40)e Fw(\(1988\))g(299;)520
48418 3661 y(G.)39 b(Ingelman)g(and)g(G.A.)h(Sc)m(h)m(uler,)i(in)d(`Ph)m
48419 (ysics)i(at)e(HERA',)h(eds.)h(W.)e(Buc)m(hm)s(\177)-51
48420 b(uller)520 3769 y(and)33 b(G.)f(Ingelman)f(\(DESY,)i(Ham)m(burg,)f
48421 (1992\),)g(V)-8 b(ol.)31 b(3,)i(p.)g(1346)0 3961 y([Iof78])254
48422 b(B.L.)33 b(Io\013e,)g(Ph)m(ys.)h(Lett.)f Fo(78B)f Fw(\(1978\))g(277)0
48423 4152 y([JAD86])170 b(JADE)33 b(Collab)s(oration,)c(W.)k(Bartel)f(et)g
48424 (al.,)g(Z.)g(Ph)m(ys.)j Fo(C33)d Fw(\(1986\))g(23;)520
48425 4260 y(S.)h(Bethk)m(e,)h(Habilitation)29 b(thesis,)k(LBL)g(50-208)d
48426 (\(1987\))0 4452 y([JAD88])170 b(JADE)33 b(Collab)s(oration,)c(S.)k
48427 (Bethk)m(e)h(et)f(al.,)e(Ph)m(ys.)k(Lett.)e Fo(B213)f
48428 Fw(\(1988\))f(235;)520 4560 y(T)-8 b(ASSO)31 b(Collab)s(oration,)c(W.)k
48429 (Braunsc)m(h)m(w)m(eig)h(et)e(al.,)g(Ph)m(ys.)i(Lett.)e
48430 Fo(214B)g Fw(\(1988\))f(286)0 4752 y([Jam80])187 b(F.)32
48431 b(James,)h(Rep.)g(Prog.)f(Ph)m(ys.)j Fo(43)e Fw(\(1980\))e(1145)0
48432 4943 y([Jam90])187 b(F.)32 b(James,)h(Computer)g(Ph)m(ysics)h(Comm)m
48433 (un.)e Fo(60)h Fw(\(1990\))e(329)0 5134 y([Jer81])237
48434 b(J.)33 b(Jers\023)-49 b(ak,)34 b(E.)f(Laermann)f(and)g(P)-8
48435 b(.M.)34 b(Zerw)m(as,)f(Ph)m(ys.)i(Rev.)e Fo(D25)f Fw(\(1982\))g(1218)0
48436 5326 y([Jun97])210 b(H.)33 b(Jung,)g(priv)-5 b(ate)32
48437 b(comm)m(unication;)520 5434 y(H.)h(Kharraziha,)e(priv)-5
48438 b(ate)32 b(comm)m(unication)0 5625 y([Kat83])205 b(M.)33
48439 b(Katuy)m(a,)g(Ph)m(ys.)i(Lett.)d Fo(124B)h Fw(\(1983\))e(421)1817
48440 5953 y(318)p eop
48441 %%Page: 319 325
48442 319 324 bop 0 -18 a Fw([Kho96])189 b(V.A.)33 b(Khoze)g(and)g(T.)g
48443 (Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)i Fo(C70)f
48444 Fw(\(1996\))f(625.)0 173 y([Kle89])221 b(R.)46 b(Kleiss)e(et)i(al.,)i
48445 (in)d(`Z)g(ph)m(ysics)i(at)f(LEP)g(1',)j(eds.)d(G.)g(Altarelli,)f(R.)g
48446 (Kleiss)g(and)520 281 y(C.)33 b(V)-8 b(erzegnassi,)34
48447 b(CERN)f(89-08)e(\(Genev)-5 b(a,)33 b(1989\),)f(V)-8
48448 b(ol.)31 b(3,)h(p.)h(143)0 473 y([Kni89])210 b(B.A.)33
48449 b(Kniehl)e(and)i(J.H.)g(K)s(\177)-51 b(uhn,)32 b(Ph)m(ys.)i(Lett.)f
48450 Fo(B224)g Fw(\(1989\))e(229)0 664 y([Kno93])189 b(I.G.)41
48451 b(Kno)m(wles)h(and)g(S.D.)f(Protop)s(op)s(escu,)j(in)d(`W)-8
48452 b(orkshop)42 b(on)f(Ph)m(ysics)i(at)e(Curren)m(t)520
48453 772 y(Accelerators)c(and)f(Sup)s(ercolliders',)g(eds.)h(J.L.)f(Hew)m
48454 (ett,)i(A.R.)e(White)g(and)g(D.)g(Zep-)520 881 y(p)s(enfeld,)d
48455 (ANL-HEP-CP-93-92)e(\(Argonne,)i(1993\),)f(p.)h(651)0
48456 1072 y([Kol78])215 b(K.)33 b(Koller)d(and)j(T.F.)g(W)-8
48457 b(alsh,)32 b(Nucl.)g(Ph)m(ys.)j Fo(B140)d Fw(\(1978\))g(449)0
48458 1263 y([K\177)-49 b(or85])205 b(J.G.)33 b(K\177)-49 b(orner)32
48459 b(and)h(G.)f(Sc)m(h)m(uler,)h(Z.)g(Ph)m(ys.)h Fo(C26)f
48460 Fw(\(1985\))e(559)0 1455 y([Kra88])205 b(G.)23 b(Kramer)f(and)h(B.)g
48461 (Lamp)s(e,)h(Z.)f(Ph)m(ys.)i Fo(C39)e Fw(\(1988\))f(101;)j(F)-8
48462 b(ortsc)m(hr.)24 b(Ph)m(ys.)h Fo(37)e Fw(\(1989\))520
48463 1563 y(161)0 1754 y([Krz72])211 b(A.)33 b(Krzywic)m(ki)g(and)f(B.)h(P)m
48464 (etersson,)i(Ph)m(ys.)f(Rev.)g Fo(D6)e Fw(\(1972\))g(924;)520
48465 1863 y(J.)h(Fink)m(elstein)f(and)g(R.D.)g(P)m(eccei,)i(Ph)m(ys.)h(Rev.)
48466 e Fo(D6)f Fw(\(1972\))g(2606;)520 1971 y(F.)g(Niederma)m(y)m(er,)i
48467 (Nucl.)e(Ph)m(ys.)i Fo(B79)f Fw(\(1974\))e(355;)520 2079
48468 y(A.)i(Casher,)h(J.)e(Kogut)g(and)h(L.)g(Susskind,)h(Ph)m(ys.)g(Rev.)f
48469 Fo(D10)g Fw(\(1974\))e(732)0 2271 y([K)s(\177)-51 b(uh89])183
48470 b(J.H.)33 b(K)s(\177)-51 b(uhn)32 b(et)g(al.,)g(in)f(`Z)h(Ph)m(ysics)i
48471 (at)e(LEP)h(1',)f(eds.)i(G.)e(Altarelli,)d(R.)j(Kleiss)g(and)g(C.)520
48472 2379 y(V)-8 b(erzegnassi,)34 b(CERN)f(89-08)e(\(Genev)-5
48473 b(a,)33 b(1989\),)e(V)-8 b(ol.)32 b(1,)g(p.)h(267)0 2571
48474 y([Kun81])184 b(Z.)32 b(Kunszt,)i(Ph)m(ys.)g(Lett.)f
48475 Fo(B99)f Fw(\(1981\))g(429;)g(Ph)m(ys.)i(Lett.)f Fo(B107)f
48476 Fw(\(1981\))g(123)0 2762 y([Kun84])184 b(Z.)32 b(Kunszt,)i(Nucl.)e(Ph)m
48477 (ys.)j Fo(B247)d Fw(\(1984\))g(339)0 2953 y([Kun87])184
48478 b(Z.)35 b(Kunszt)i(et)f(al.,)f(in)g(`Pro)s(ceedings)h(of)f(the)h(W)-8
48479 b(orkshop)36 b(on)g(Ph)m(ysics)h(at)e(F)-8 b(uture)36
48480 b(Ac-)520 3062 y(celerators',)g(ed.)f(J.H.)g(Mulv)m(ey)-8
48481 b(,)36 b(CERN)g(87-08)d(\(1987\),)h(V)-8 b(ol.)34 b(I,)h(p.)g(123,)f
48482 (and)h(priv)-5 b(ate)520 3170 y(comm)m(unication)0 3361
48483 y([Lae80])215 b(E.)23 b(Laermann,)i(K.H.)e(Streng)g(and)g(P)-8
48484 b(.M.)23 b(Zerw)m(as,)j(Z.)c(Ph)m(ys.)j Fo(C3)e Fw(\(1980\))f(289;)j
48485 (Erratum)520 3470 y(Z.)32 b(Ph)m(ys.)j Fo(C52)d Fw(\(1991\))g(352)0
48486 3661 y([Lan91])204 b(K.)33 b(Lane,)g(priv)-5 b(ate)31
48487 b(comm)m(unication)g(\(1991\))0 3852 y([LEP90])175 b(OP)-8
48488 b(AL)33 b(Collab)s(oration,)c(M.Z.)k(Akra)m(wy)h(et)f(al.,)e(Z.)h(Ph)m
48489 (ys)j Fo(C47)d Fw(\(1990\))g(505;)520 3961 y(L3)g(Collab)s(oration,)e
48490 (B.)i(Adev)-5 b(a)33 b(et)g(al.,)f(Z.)g(Ph)m(ys.)i Fo(C55)f
48491 Fw(\(1992\))e(39;)520 4069 y(ALEPH)j(Collab)s(oration,)29
48492 b(D.)j(Buskulic)g(et)h(al.,)f(Z.)g(Ph)m(ys.)i Fo(C55)f
48493 Fw(\(1992\))f(209)0 4260 y([Lev90])213 b(E.M.)34 b(Levin)e(and)h(M.G.)g
48494 (Ryskin,)g(Ph)m(ys.)h(Rep.)f Fo(189)g Fw(\(1990\))e(267)0
48495 4452 y([L\177)-49 b(or89])220 b(B.)33 b(L\177)-49 b(orstad,)33
48496 b(In)m(t.)g(J.)f(of)h(Mo)s(d.)f(Ph)m(ys.)j Fo(A4)d Fw(\(1989\))f(2861)0
48497 4643 y([Lus91])215 b(M.)33 b(Lusignoli)d(and)j(M.)g(Masetti,)g(Z.)f(Ph)
48498 m(ysik)i Fo(C51)e Fw(\(1991\))g(549)0 4835 y([Mag89])181
48499 b(N.)47 b(Magn)m(ussen,)53 b(Ph.D.)47 b(Thesis,)k(Univ)m(ersit)m(y)d
48500 (of)e(W)-8 b(upp)s(ertal)46 b(WUB-DI)h(88-4)e(and)520
48501 4943 y(DESY)33 b(F22-89-01)d(\(1989\);)520 5051 y(G.)i(Kramer)g(and)h
48502 (N.)f(Magn)m(ussen,)j(Z.)d(Ph)m(ys.)j Fo(C49)d Fw(\(1991\))g(301)0
48503 5243 y([MAR79])134 b(MARK)33 b(J)f(Collab)s(oration,)e(D.P)-8
48504 b(.)32 b(Barb)s(er)h(et)f(al.,)g(Ph)m(ys.)i(Rev.)g(Lett.)e
48505 Fo(43)h Fw(\(1979\))f(830)0 5434 y([Mar88])192 b(G.)32
48506 b(Marc)m(hesini)h(and)g(B.R.)f(W)-8 b(ebb)s(er,)34 b(Nucl.)e(Ph)m(ys.)j
48507 Fo(B310)d Fw(\(1988\))f(571;)520 5542 y(G.)25 b(Marc)m(hesini,)i(B.R.)f
48508 (W)-8 b(ebb)s(er,)28 b(M.H.)e(Seymour,)h(G.)e(Abbiendi,)i(L.)e(Stanco)h
48509 (and)g(I.G.)520 5651 y(Kno)m(wles,)33 b(Computer)g(Ph)m(ysics)h(Comm)m
48510 (un.)e Fo(67)h Fw(\(1992\))e(465)1817 5953 y(319)p eop
48511 %%Page: 320 326
48512 320 325 bop 0 -18 a Fw([Mar90])192 b(G.)32 b(Marsaglia,)f(A.)i(Zaman)e
48513 (and)i(W.-W.)f(Tsang,)i(Stat.)e(Prob.)h(Lett.)g Fo(9)f
48514 Fw(\(1990\))g(35)0 173 y([Mon79])176 b(I.)33 b(Mon)m(tv)-5
48515 b(a)m(y)d(,)34 b(Ph)m(ys.)g(Lett.)f Fo(B84)f Fw(\(1979\))g(331)0
48516 364 y([Mor89])192 b(D.A.)33 b(Morris,)f(Nucl.)g(Ph)m(ys.)j
48517 Fo(B313)d Fw(\(1989\))f(634)0 556 y([Mue81])182 b(A.H.)33
48518 b(Mueller,)f(Ph)m(ys.)j(Lett.)d Fo(104B)h Fw(\(1981\))e(161;)520
48519 664 y(B.I.)i(Ermolaev,)f(V.S.)h(F)-8 b(adin,)31 b(JETP)j(Lett.)f
48520 Fo(33)f Fw(\(1981\))g(269)0 855 y([Nil87])239 b(B.)26
48521 b(Nilsson-Almqvist)e(and)i(E.)h(Stenlund,)h(Computer)e(Ph)m(ysics)i
48522 (Comm)m(un.)d Fo(43)i Fw(\(1987\))520 964 y(387;)520
48523 1072 y(H.)33 b(Pi,)f(Computer)h(Ph)m(ysics)h(Comm)m(un.)e
48524 Fo(71)h Fw(\(1992\))e(173)0 1263 y([Ols80])226 b(H.A.)33
48525 b(Olsen,)g(P)-8 b(.)33 b(Osland)f(and)g(I.)h(\037v)m(erb\034,)h(Nucl.)e
48526 (Ph)m(ys.)j Fo(B171)d Fw(\(1980\))f(209)0 1455 y([OP)-8
48527 b(A91])161 b(OP)-8 b(AL)33 b(Collab)s(oration,)c(M.Z.)k(Akra)m(wy)h(et)
48528 f(al.,)e(Z.)h(Ph)m(ys.)j Fo(C49)d Fw(\(1991\))g(375)0
48529 1646 y([OP)-8 b(A92])161 b(OP)-8 b(AL)33 b(Collab)s(oration,)c(P)-8
48530 b(.D.)33 b(Acton)f(et)h(al.,)f(Ph)m(ys.)i(Lett.)f Fo(B276)f
48531 Fw(\(1992\))g(547)0 1837 y([Ow)m(e84])182 b(J.F.)33 b(Ow)m(ens,)h(Ph)m
48532 (ys.)g(Rev.)g Fo(D30)e Fw(\(1984\))g(943)0 2029 y([P)m(ar78])218
48533 b(G.)32 b(P)m(arisi,)g(Ph)m(ys.)i(Lett.)f Fo(74B)f Fw(\(1978\))g(65;)
48534 520 2137 y(J.F.)h(Donogh)m(ue,)f(F.E.)h(Lo)m(w)g(and)g(S.Y.)g(Pi,)f(Ph)
48535 m(ys.)i(Rev.)g Fo(D20)e Fw(\(1979\))g(2759)0 2329 y([PDG86])150
48536 b(P)m(article)32 b(Data)f(Group,)i(M.)g(Aguilar-Benitez)d(et)j(al.,)e
48537 (Ph)m(ys.)k(Lett.)e Fo(B170)f Fw(\(1986\))f(1)0 2520
48538 y([PDG88])150 b(P)m(article)32 b(Data)f(Group,)i(G.)f(P)-8
48539 b(.)33 b(Y)-8 b(ost)32 b(et)h(al.,)f(Ph)m(ys.)i(Lett.)f
48540 Fo(B204)f Fw(\(1988\))g(1)0 2711 y([PDG92])150 b(P)m(article)32
48541 b(Data)f(Group,)i(K.)f(Hik)-5 b(asa)32 b(et)h(al.,)e(Ph)m(ys.)k(Rev.)e
48542 Fo(D45)g Fw(\(1992\))e(S1)0 2903 y([P)m(et83])224 b(C.)34
48543 b(P)m(eterson,)h(D.)e(Sc)m(hlatter,)g(I.)g(Sc)m(hmitt)g(and)g(P)-8
48544 b(.)33 b(Zerw)m(as,)i(Ph)m(ys.)g(Rev.)e Fo(D27)h Fw(\(1983\))520
48545 3011 y(105)0 3202 y([P)m(et88])224 b(U.)33 b(P)m(ettersson,)i(LU)d(TP)i
48546 (88-5)d(\(1988\);)520 3311 y(L.)i(L\177)-49 b(onn)m(blad)32
48547 b(and)h(U.)f(P)m(ettersson,)j(LU)e(TP)g(88-15)e(\(1988\);)520
48548 3419 y(L.)i(L\177)-49 b(onn)m(blad,)32 b(Computer)h(Ph)m(ysics)h(Comm)m
48549 (un.)e Fo(71)h Fw(\(1992\))e(15)0 3610 y([Plo93])225
48550 b(H.)33 b(Plotho)m(w-Besc)m(h,)h(Computer)e(Ph)m(ysics)j(Comm)m(un.)d
48551 Fo(75)g Fw(\(1993\))g(396)0 3802 y([Sam91])183 b(M.A.)39
48552 b(Sam)m(uel,)g(G.)g(Li,)g(N.)f(Sinha,)i(R.)e(Sinha)g(and)g(M.K.)h
48553 (Sundaresan,)i(Ph)m(ys.)g(Rev.)520 3910 y(Lett.)33 b
48554 Fo(67)g Fw(\(1991\))e(9;)h(ERRA)-8 b(TUM)34 b Fi(ibid.)e
48555 Fw(2920)0 4101 y([Sc)m(h80])220 b(G.)32 b(Sc)m(hierholz)h(and)f(D.H.)h
48556 (Sc)m(hiller,)e(DESY)i(80/88)e(\(1980\);)520 4210 y(J.G.)i(K\177)-49
48557 b(orner)32 b(and)h(D.H.)f(Sc)m(hiller,)f(DESY)i(81-043)e(\(1981\);)520
48558 4318 y(K.)i(Koller,)d(D.H.)j(Sc)m(hiller)e(and)h(D.)h(W\177)-49
48559 b(ahner,)33 b(Z.)f(Ph)m(ys.)j Fo(C12)d Fw(\(1982\))g(273)0
48560 4510 y([Sc)m(h92])220 b(G.A.)34 b(Sc)m(h)m(uler)i(and)e(J.)h(T)-8
48561 b(erron,)35 b(in)f(`Ph)m(ysics)i(at)f(HERA',)g(eds.)g(W.)g(Buc)m(hm)s
48562 (\177)-51 b(uller)32 b(and)520 4618 y(G.)g(Ingelman)g(\(DESY,)g(Ham)m
48563 (burg,)h(1992\),)e(V)-8 b(ol.)32 b(1,)g(p.)h(599)0 4809
48564 y([Sc)m(h93])220 b(G.A.)33 b(Sc)m(h)m(uler)g(and)g(T.)g(Sj\177)-49
48565 b(ostrand,)33 b(Ph)m(ys.)h(Lett.)f Fo(B300)f Fw(\(1993\))g(169)0
48566 5001 y([Sc)m(h93a])171 b(G.A.)33 b(Sc)m(h)m(uler)g(and)g(T.)g(Sj\177)
48567 -49 b(ostrand,)33 b(Nucl.)f(Ph)m(ys.)i Fo(B407)f Fw(\(1993\))e(539)0
48568 5192 y([Sc)m(h94])220 b(G.A.)33 b(Sc)m(h)m(uler)g(and)g(T.)g(Sj\177)-49
48569 b(ostrand,)33 b(Ph)m(ys.)h(Rev.)f Fo(D49)g Fw(\(1994\))e(2257)0
48570 5383 y([Sc)m(h94a])171 b(G.A.)38 b(Sc)m(h)m(uler)g(and)g(T.)h(Sj\177)
48571 -49 b(ostrand,)39 b(in)e(`W)-8 b(orkshop)39 b(on)f(Tw)m(o-Photon)g(Ph)m
48572 (ysics)i(from)520 5492 y(D)m(APHNE)45 b(to)g(LEP200)f(and)h(Bey)m
48573 (ond',)k(eds.)c(F.)f(Kapusta)h(and)f(J.)h(P)m(arisi)e(\(W)-8
48574 b(orld)520 5600 y(Scien)m(ti\014c,)33 b(Singap)s(ore,)e(1994\),)h(p.)h
48575 (163)1817 5953 y(320)p eop
48576 %%Page: 321 327
48577 321 326 bop 0 -18 a Fw([Sc)m(h95])220 b(G.A.)33 b(Sc)m(h)m(uler)g(and)g
48578 (T.)g(Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)i Fo(C68)f
48579 Fw(\(1995\))e(607.)0 172 y([Sc)m(h97])220 b(G.A.)33 b(Sc)m(h)m(uler)g
48580 (and)g(T.)g(Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)i
48581 Fo(C73)f Fw(\(1997\))e(677.)0 363 y([Sj\177)-49 b(o78])235
48582 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(B.)g(S\177)-49 b(oderb)s(erg,)33
48583 b(LU)f(TP)i(78-18)d(\(1978\))0 554 y([Sj\177)-49 b(o79])235
48584 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(LU)g(TP)g(79-8)e(\(1979\))0
48585 745 y([Sj\177)-49 b(o80])235 b(T.)33 b(Sj\177)-49 b(ostrand,)33
48586 b(LU)g(TP)g(80-3)e(\(1980\))0 935 y([Sj\177)-49 b(o82])235
48587 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Computer)g(Ph)m(ysics)h(Comm)m
48588 (un.)e Fo(27)h Fw(\(1982\))e(243)0 1126 y([Sj\177)-49
48589 b(o83])235 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Computer)g(Ph)m(ysics)h
48590 (Comm)m(un.)e Fo(28)h Fw(\(1983\))e(229)0 1317 y([Sj\177)-49
48591 b(o84])235 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Nucl.)g(Ph)m(ys.)h
48592 Fo(B248)e Fw(\(1984\))g(469)0 1508 y([Sj\177)-49 b(o84a])186
48593 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Z.)f(Ph)m(ys.)j
48594 Fo(C26)d Fw(\(1984\))g(93;)520 1616 y(M.)h(Bengtsson,)h(T.)f(Sj\177)-49
48595 b(ostrand)33 b(and)g(M.)g(v)-5 b(an)32 b(Zijl,)e(Ph)m(ys.)35
48596 b(Lett.)e Fo(B179)f Fw(\(1986\))f(164)0 1807 y([Sj\177)-49
48597 b(o85])235 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Ph)m(ys.)i(Lett.)d
48598 Fo(157B)h Fw(\(1985\))e(321;)520 1915 y(M.)i(Bengtsson,)h(T.)f(Sj\177)
48599 -49 b(ostrand)33 b(and)g(M.)g(v)-5 b(an)32 b(Zijl,)e(Z.)j(Ph)m(ys.)h
48600 Fo(C32)f Fw(\(1986\))e(67)0 2106 y([Sj\177)-49 b(o86])235
48601 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(Computer)g(Ph)m(ysics)h(Comm)m
48602 (un.)e Fo(39)h Fw(\(1986\))e(347)0 2297 y([Sj\177)-49
48603 b(o87])235 b(T.)33 b(Sj\177)-49 b(ostrand)33 b(and)g(M.)g(Bengtsson,)h
48604 (Computer)e(Ph)m(ysics)j(Comm)m(un.)d Fo(43)g Fw(\(1987\))g(367)0
48605 2487 y([Sj\177)-49 b(o87a])186 b(T.)33 b(Sj\177)-49 b(ostrand)33
48606 b(and)g(M.)g(v)-5 b(an)32 b(Zijl,)e(Ph)m(ys.)35 b(Rev.)e
48607 Fo(D36)g Fw(\(1987\))e(2019)0 2678 y([Sj\177)-49 b(o88])235
48608 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(In)m(t.)g(J.)g(Mo)s(d.)g(Ph)m(ys.)
48609 h Fo(A3)e Fw(\(1988\))g(751)0 2869 y([Sj\177)-49 b(o89])235
48610 b(T.)37 b(Sj\177)-49 b(ostrand)36 b(et)g(al.,)g(in)f(`Z)g(ph)m(ysics)j
48611 (at)d(LEP)i(1',)g(eds.)g(G.)e(Altarelli,)e(R.)j(Kleiss)f(and)520
48612 2977 y(C.)e(V)-8 b(erzegnassi,)34 b(CERN)f(89-08)e(\(Genev)-5
48613 b(a,)33 b(1989\),)f(V)-8 b(ol.)31 b(3,)h(p.)h(143)0 3168
48614 y([Sj\177)-49 b(o92])235 b(T.)37 b(Sj\177)-49 b(ostrand,)37
48615 b(in)f(`1991)f(CERN)i(Sc)m(ho)s(ol)e(of)h(Computing',)g(ed.)h(C.)g(V)-8
48616 b(erk)m(erk,)39 b(CERN)520 3276 y(92-02)31 b(\(Genev)-5
48617 b(a,)33 b(1992\),)f(p.)h(227)0 3467 y([Sj\177)-49 b(o92a])186
48618 b(T.)35 b(Sj\177)-49 b(ostrand)35 b(and)g(P)-8 b(.M.)36
48619 b(Zerw)m(as,)g(in)e(`e)2064 3431 y Fl(+)2123 3467 y Fw(e)2166
48620 3431 y Fk(\000)2261 3467 y Fw(Collisions)e(at)i(500)g(GeV:)h(The)h(Ph)m
48621 (ysics)520 3576 y(P)m(oten)m(tial',)c(ed)h(P)-8 b(.M.)33
48622 b(Zerw)m(as,)h(DESY)f(92-123)e(\(Ham)m(burg,)h(1992\),)f(P)m(art)i(A,)g
48623 (p.)g(463;)520 3684 y(T.)c(Sj\177)-49 b(ostrand,)29 b(in)f(`Pro)s
48624 (ceedings)h(of)e(the)i(1992)e(W)-8 b(orkshops)30 b(on)e(High-Energy)g
48625 (Ph)m(ysics)520 3792 y(with)44 b(Colliding)e(Beams',)47
48626 b(ed.)e(J.)g(Rogers,)j(SLA)m(C)d(Rep)s(ort-428)e(\(Stanford,)k(1993\),)
48627 520 3901 y(V)-8 b(ol.)32 b(2,)g(p.)h(445;)520 4009 y(V.A.)g(Khoze)g
48628 (and)g(T.)g(Sj\177)-49 b(ostrand,)33 b(Ph)m(ys.)h(Lett.)f
48629 Fo(B328)f Fw(\(1994\))g(466)0 4200 y([Sj\177)-49 b(o92b])181
48630 b(T.)44 b(Sj\177)-49 b(ostrand,)45 b(in)e(`Ph)m(ysics)h(at)f(HERA',)g
48631 (eds.)h(W)f(Buc)m(hm)s(\177)-51 b(uller)41 b(and)i(G.)g(Ingelman)520
48632 4308 y(\(DESY,)33 b(Ham)m(burg,)f(1992\),)g(V)-8 b(ol.)31
48633 b(3,)i(p.)f(1405)0 4499 y([Sj\177)-49 b(o92c])192 b(T.)59
48634 b(Sj\177)-49 b(ostrand,)66 b(in)58 b(`W)-8 b(orkshop)60
48635 b(on)e(Photon)h(Radiation)d(from)i(Quarks',)66 b(ed.)59
48636 b(S.)520 4607 y(Cart)m(wrigh)m(t,)33 b(CERN)g(92-04)e(\(Genev)-5
48637 b(a,)33 b(1992\),)f(p.)h(89)f(and)g(p.)h(103)0 4798 y([Sj\177)-49
48638 b(o92d])181 b(T.)33 b(Sj\177)-49 b(ostrand,)33 b(CERN-TH.6488/92)f
48639 (\(1992\))0 4989 y([Sj\177)-49 b(o94])235 b(T.)33 b(Sj\177)-49
48640 b(ostrand,)33 b(Computer)g(Ph)m(ysics)h(Comm)m(un.)e
48641 Fo(82)h Fw(\(1994\))e(74)0 5179 y([Ste81])233 b(P)-8
48642 b(.M.)34 b(Stev)m(enson,)g(Ph)m(ys.)h(Rev.)e Fo(D23)g
48643 Fw(\(1981\))e(2916)0 5370 y([Sud56])206 b(V.V.)33 b(Sudak)m(o)m(v,)h
48644 (Zh.E.T.F.)g Fo(30)e Fw(\(1956\))g(87)g(\(So)m(v.)h(Ph)m(ys.)i(J.E.T.P)
48645 -8 b(.)34 b Fo(30)e Fw(\(1956\))g(65\))0 5561 y([UA183])173
48646 b(UA1)33 b(Collab)s(oration,)c(G.)j(Arnison)g(et)h(al.,)f(Ph)m(ys.)i
48647 (Lett.)f Fo(123B)f Fw(\(1983\))g(115;)520 5669 y(UA1)h(Collab)s
48648 (oration,)c(C.)k(Alba)5 b(jar)32 b(et)g(al.,)g(Nucl.)g(Ph)m(ys.)j
48649 Fo(B309)d Fw(\(1988\))g(405)1817 5953 y(321)p eop
48650 %%Page: 322 328
48651 322 327 bop 0 -18 a Fw([V)-8 b(er81])222 b(J.A.M.)46
48652 b(V)-8 b(ermaseren,)49 b(K.J.F.)c(Gaemers)g(and)g(S.J.)h(Oldham,)h
48653 (Nucl.)e(Ph)m(ys.)i Fo(B187)520 90 y Fw(\(1981\))32 b(301)0
48654 281 y([W)-8 b(eb86])179 b(B.R.)33 b(W)-8 b(ebb)s(er,)33
48655 b(Ann.)g(Rev.)h(Nucl.)e(P)m(art.)h(Sci.)f Fo(36)h Fw(\(1986\))e(253)0
48656 473 y([W)-8 b(u79])222 b(S.L.)33 b(W)-8 b(u)33 b(and)g(G.)f(Zob)s
48657 (ernig,)f(Z.)h(Ph)m(ys..)j Fo(C2)d Fw(\(1979\))g(107)0
48658 664 y([W)-8 b(ud86])168 b(J.)33 b(W)-8 b(udk)j(a,)33
48659 b(Ph)m(ys.)h(Lett.)f Fo(167B)f Fw(\(1986\))g(337)0 855
48660 y([Za)5 b(j87])224 b(W.A.)33 b(Za)5 b(jc,)33 b(Ph)m(ys.)h(Rev.)f
48661 Fo(D35)g Fw(\(1987\))e(3396)0 1047 y([Zh)m(u83])203 b(R.-y)-8
48662 b(.)25 b(Zh)m(u,)j(Ph.)e(D.)f(Thesis)h(\(M.I.T.\),)i(MIT-LNS)e(Rep)s
48663 (ort)f(RX-1033)f(\(1983\);)j(Caltec)m(h)520 1155 y(Rep)s(ort)g(CAL)-8
48664 b(T-68-1306;)27 b(in)f(Pro)s(ceedings)i(of)e(the)h(1984)f(DPF)h
48665 (conference,)j(San)m(ta)d(F)-8 b(e,)520 1263 y(p.)33
48666 b(229;)f(in)g(Pro)s(ceedings)h(of)f(1985)g(DPF)g(conference,)i(Oregon,)
48667 e(p.)h(552)1817 5953 y(322)p eop
48668 %%Page: 323 329
48669 323 328 bop 0 -18 a Ft(Index)53 b(of)h(Subprograms)d(and)j(Common)d
48670 (Blo)t(c)l(k)j(V)-13 b(ariables)0 189 y Fw(This)30 b(index)g(is)f(not)h
48671 (in)m(tended)h(to)e(b)s(e)h(complete,)g(but)g(giv)m(es)g(the)h(page)e
48672 (where)j(the)e(main)e(description)0 297 y(b)s(egins)22
48673 b(of)g(a)g(subroutine,)j(function,)f(blo)s(c)m(k)f(data,)h(common)d
48674 (blo)s(c)m(k,)j(v)-5 b(ariable)21 b(or)h(arra)m(y)-8
48675 b(.)40 b(F)-8 b(or)22 b(common)0 405 y(blo)s(c)m(k)34
48676 b(v)-5 b(ariables)34 b(also)f(the)i(name)f(of)h(the)g(common)e(blo)s(c)
48677 m(k)h(is)g(giv)m(en.)50 b(When)35 b(some)g(comp)s(onen)m(ts)g(of)0
48678 514 y(an)h(arra)m(y)g(are)h(describ)s(ed)g(in)e(a)h(separate)h(place,)g
48679 (a)f(sp)s(ecial)f(reference)j(\(inden)m(ted)f(with)e(resp)s(ect)j(to)0
48680 622 y(the)33 b(main)e(one\))i(is)f(giv)m(en)g(for)g(these)i(comp)s
48681 (onen)m(ts.)0 784 y Fq(BRAT)g Fw(in)d Fq(LUDAT3)850 b
48682 Fw(283)0 893 y Fq(CHAF)34 b Fw(in)d Fq(LUDAT4)850 b Fw(284)0
48683 1001 y Fq(CKIN)34 b Fw(in)d Fq(PYSUBS)850 b Fw(145)0
48684 1109 y Fq(COEF)34 b Fw(in)d Fq(PYINT2)850 b Fw(185)0
48685 1218 y Fq(DXSEC)34 b Fw(in)e Fq(PYINT9)798 b Fw(188)0
48686 1326 y Fq(HEPEVT)34 b Fw(common)d(blo)s(c)m(k)601 b(64)0
48687 1434 y Fq(ICOL)34 b Fw(in)d Fq(PYINT2)850 b Fw(186)0
48688 1543 y Fq(IFUP)34 b Fw(in)d Fq(PYUPPR)850 b Fw(172)0
48689 1651 y Fq(ISET)34 b Fw(in)d Fq(PYINT2)850 b Fw(185)0
48690 1759 y Fq(ISIG)34 b Fw(in)d Fq(PYINT3)850 b Fw(186)0
48691 1868 y Fq(K)33 b Fw(in)f Fq(LUJETS)1052 b Fw(59)0 1976
48692 y Fq(KCHG)34 b Fw(in)d Fq(LUDAT2)850 b Fw(278)0 2085
48693 y Fq(KFDP)34 b Fw(in)d Fq(LUDAT3)850 b Fw(284)0 2193
48694 y Fq(KFIN)34 b Fw(in)d Fq(PYSUBS)850 b Fw(145)0 2301
48695 y Fq(KFPR)34 b Fw(in)d Fq(PYINT2)850 b Fw(185)0 2410
48696 y Fq(KLU)33 b Fw(function)971 b(263)0 2518 y Fq(KUP)33
48697 b Fw(in)f Fq(PYUPPR)901 b Fw(171)0 2626 y Fq(LU1ENT)34
48698 b Fw(subroutine)717 b(254)0 2735 y Fq(LU2ENT)34 b Fw(subroutine)717
48699 b(254)0 2843 y Fq(LU3ENT)34 b Fw(subroutine)717 b(255)0
48700 2951 y Fq(LU4ENT)34 b Fw(subroutine)717 b(255)0 3060
48701 y Fq(LUBOEI)34 b Fw(subroutine)717 b(257)0 3168 y Fq(LUCELL)34
48702 b Fw(subroutine)717 b(303)0 3276 y Fq(LUCHGE)34 b Fw(function)817
48703 b(257)0 3385 y Fq(LUCLUS)34 b Fw(subroutine)717 b(302)0
48704 3493 y Fq(LUCOMP)34 b Fw(function)817 b(257)0 3601 y
48705 Fq(LUDAT1)34 b Fw(common)d(blo)s(c)m(k)552 b(264)0 3710
48706 y Fq(LUDAT2)34 b Fw(common)d(blo)s(c)m(k)552 b(278)0
48707 3818 y Fq(LUDAT3)34 b Fw(common)d(blo)s(c)m(k)552 b(280)0
48708 3926 y Fq(LUDAT4)34 b Fw(common)d(blo)s(c)m(k)552 b(284)0
48709 4035 y Fq(LUDATA)34 b Fw(blo)s(c)m(k)f(data)719 b(258)0
48710 4143 y Fq(LUDATR)34 b Fw(common)d(blo)s(c)m(k)601 b(50)0
48711 4251 y Fq(LUDBRB)34 b Fw(subroutine)717 b(259)0 4360
48712 y Fq(LUDECY)34 b Fw(subroutine)717 b(257)0 4468 y Fq(LUEDIT)34
48713 b Fw(subroutine)717 b(259)0 4576 y Fq(LUEEVT)34 b Fw(subroutine)766
48714 b(79)0 4685 y Fq(LUERRM)34 b Fw(subroutine)717 b(258)0
48715 4793 y Fq(LUEXEC)34 b Fw(subroutine)717 b(257)0 4901
48716 y Fq(LUFOWO)34 b Fw(subroutine)717 b(304)0 5010 y Fq(LUGIVE)34
48717 b Fw(subroutine)717 b(256)0 5118 y Fq(LUHEPC)34 b Fw(subroutine)766
48718 b(66)0 5226 y Fq(LUINDF)34 b Fw(subroutine)717 b(257)0
48719 5335 y Fq(LUJETS)34 b Fw(common)d(blo)s(c)m(k)601 b(59)0
48720 5443 y Fq(LUJMAS)34 b Fw(subroutine)717 b(304)0 5551
48721 y Fq(LUJOIN)34 b Fw(subroutine)717 b(255)2126 784 y Fq(LUKFDI)34
48722 b Fw(subroutine)717 b(257)2126 893 y Fq(LULIST)34 b Fw(subroutine)717
48723 b(261)2126 1001 y Fq(LULOGO)34 b Fw(subroutine)717 b(258)2126
48724 1109 y Fq(LUNAME)34 b Fw(subroutine)717 b(257)2126 1218
48725 y Fq(LUONIA)34 b Fw(subroutine)766 b(80)2126 1326 y Fq(LUPREP)34
48726 b Fw(subroutine)717 b(257)2126 1434 y Fq(LUPTDI)34 b
48727 Fw(subroutine)717 b(257)2126 1543 y Fq(LURADK)34 b Fw(subroutine)766
48728 b(79)2126 1651 y Fq(LUROBO)34 b Fw(subroutine)717 b(259)2126
48729 1759 y Fq(LUSHOW)34 b Fw(subroutine)717 b(206)2126 1868
48730 y Fq(LUSPHE)34 b Fw(subroutine)717 b(301)2126 1976 y
48731 Fq(LUSTRF)34 b Fw(subroutine)717 b(257)2126 2085 y Fq(LUTABU)34
48732 b Fw(subroutine)717 b(305)2126 2193 y Fq(LUTAUD)34 b
48733 Fw(subroutine)717 b(258)2126 2301 y Fq(LUTEST)34 b Fw(subroutine)766
48734 b(33)2126 2410 y Fq(LUTHRU)34 b Fw(subroutine)717 b(302)2126
48735 2518 y Fq(LUUPDA)34 b Fw(subroutine)717 b(262)2126 2626
48736 y Fq(LUX3JT)34 b Fw(subroutine)766 b(80)2126 2735 y Fq(LUX4JT)34
48737 b Fw(subroutine)766 b(80)2126 2843 y Fq(LUXDIF)34 b Fw(subroutine)766
48738 b(80)2126 2951 y Fq(LUXJET)34 b Fw(subroutine)766 b(80)2126
48739 3060 y Fq(LUXKFL)34 b Fw(subroutine)766 b(79)2126 3168
48740 y Fq(LUXTOT)34 b Fw(subroutine)766 b(79)2126 3276 y Fq(LUZDIS)34
48741 b Fw(subroutine)717 b(257)2126 3385 y Fq(MDCY)34 b Fw(in)d
48742 Fq(LUDAT3)850 b Fw(280)2126 3493 y Fq(MDME)34 b Fw(in)d
48743 Fq(LUDAT3)850 b Fw(281)2126 3601 y Fq(MINT)34 b Fw(in)d
48744 Fq(PYINT1)850 b Fw(178)2126 3710 y Fq(MRLU)34 b Fw(in)d
48745 Fq(LUDATR)899 b Fw(50)2126 3818 y Fq(MSEL)34 b Fw(in)d
48746 Fq(PYSUBS)850 b Fw(144)2126 3926 y Fq(MSTI)34 b Fw(in)d
48747 Fq(PYPARS)850 b Fw(165)2126 4035 y Fq(MSTJ)34 b Fw(in)d
48748 Fq(LUDAT1)p Fw(,)k(main)575 b(268)2224 4143 y Fq(MSTJ\(40\))53
48749 b(-)e(MSTJ\(50\))438 b Fw(207)2224 4251 y Fq(MSTJ\(101\))53
48750 b(-)f(MSTJ\(121\))384 b Fw(80)2126 4360 y Fq(MSTP)34
48751 b Fw(in)d Fq(PYPARS)p Fw(,)k(main)575 b(149)2224 4468
48752 y Fq(MSTP\(22\))1001 b Fw(210)2224 4576 y Fq(MSTP\(61\))53
48753 b(-)e(MSTP\(71\))438 b Fw(210)2224 4685 y Fq(MSTP\(81\))53
48754 b(-)e(MSTP\(94\))438 b Fw(224)2224 4793 y Fq(MSTP\(131\))53
48755 b(-)f(MSTP\(134\))335 b Fw(226)2126 4901 y Fq(MSTU)34
48756 b Fw(in)d Fq(LUDAT1)p Fw(,)k(main)575 b(265)2224 5010
48757 y Fq(MSTU\(41\))53 b(-)e(MSTU\(63\))438 b Fw(308)2224
48758 5118 y Fq(MSTU\(101\))53 b(-)f(MSTU\(118\))335 b Fw(275)2224
48759 5226 y Fq(MSTU\(161\))53 b(-)f(MSTU\(162\))335 b Fw(310)2126
48760 5335 y Fq(MSUB)34 b Fw(in)d Fq(PYSUBS)850 b Fw(145)2126
48761 5443 y Fq(N)33 b Fw(in)f Fq(LUJETS)1052 b Fw(59)2126
48762 5551 y Fq(NFUP)34 b Fw(in)d Fq(PYUPPR)850 b Fw(172)1817
48763 5953 y(323)p eop
48764 %%Page: 324 330
48765 324 329 bop 0 -18 a Fq(NGEN)34 b Fw(in)d Fq(PYINT5)850
48766 b Fw(187)0 90 y Fq(NUP)33 b Fw(in)f Fq(PYUPPR)901 b Fw(171)0
48767 198 y Fq(P)33 b Fw(in)f Fq(LUJETS)1052 b Fw(60)0 307
48768 y Fq(PARF)34 b Fw(in)d Fq(LUDAT2)850 b Fw(279)0 415 y
48769 Fq(PARI)34 b Fw(in)d Fq(PYPARS)850 b Fw(166)0 523 y Fq(PARJ)34
48770 b Fw(in)d Fq(LUDAT1)p Fw(,)k(main)575 b(271)98 632 y
48771 Fq(PARJ\(81\))53 b(-)e(PARJ\(89\))438 b Fw(209)98 740
48772 y Fq(PARJ\(121\))53 b(-)f(PARJ\(171\))384 b Fw(83)0 848
48773 y Fq(PARP)34 b Fw(in)d Fq(PYPARS)p Fw(,)k(main)575 b(162)98
48774 957 y Fq(PARP\(61\))53 b(-)e(PARP\(72\))438 b Fw(211)98
48775 1065 y Fq(PARP\(81\))53 b(-)e(PARP\(100\))387 b Fw(227)98
48776 1173 y Fq(PARP\(131\))950 b Fw(228)0 1282 y Fq(PARU)34
48777 b Fw(in)d Fq(LUDAT1)p Fw(,)k(main)575 b(267)98 1390 y
48778 Fq(PARU\(41\))53 b(-)e(PARU\(63\))438 b Fw(310)98 1498
48779 y Fq(PARU\(101\))53 b(-)f(PARU\(195\))335 b Fw(275)0
48780 1607 y Fq(PLU)33 b Fw(function)971 b(264)0 1715 y Fq(PMAS)34
48781 b Fw(in)d Fq(LUDAT2)850 b Fw(278)0 1823 y Fq(PROC)34
48782 b Fw(in)d Fq(PYINT6)850 b Fw(187)0 1932 y Fq(PUP)33 b
48783 Fw(in)f Fq(PYUPPR)901 b Fw(171)0 2040 y Fq(PYCTQ2)34
48784 b Fw(function)817 b(178)0 2148 y Fq(PYDATA)34 b Fw(blo)s(c)m(k)f(data)
48785 719 b(178)0 2257 y Fq(PYDIFF)34 b Fw(subroutine)717 b(177)0
48786 2365 y Fq(PYDOCU)34 b Fw(subroutine)717 b(177)0 2473
48787 y Fq(PYEVNT)34 b Fw(subroutine)717 b(140)0 2582 y Fq(PYEVWT)34
48788 b Fw(subroutine)717 b(142)0 2690 y Fq(PYFRAM)34 b Fw(subroutine)717
48789 b(141)0 2798 y Fq(PYGANO)34 b Fw(function)817 b(177)0
48790 2907 y Fq(PYGBEH)34 b Fw(function)817 b(177)0 3015 y
48791 Fq(PYGDIR)34 b Fw(function)817 b(177)0 3123 y Fq(PYGAMM)34
48792 b Fw(function)817 b(178)0 3232 y Fq(PYGGAM)34 b Fw(function)817
48793 b(177)0 3340 y Fq(PYGVMD)34 b Fw(function)817 b(177)0
48794 3448 y Fq(PYHFTH)34 b Fw(function)817 b(178)0 3557 y
48795 Fq(PYI3AU)34 b Fw(subroutine)717 b(178)0 3665 y Fq(PYINBM)34
48796 b Fw(subroutine)717 b(176)0 3774 y Fq(PYINIT)34 b Fw(subroutine)717
48797 b(139)0 3882 y Fq(PYINKI)34 b Fw(subroutine)717 b(176)0
48798 3990 y Fq(PYINPR)34 b Fw(subroutine)717 b(176)0 4099
48799 y Fq(PYINRE)34 b Fw(subroutine)717 b(176)0 4207 y Fq(PYINT1)34
48800 b Fw(common)d(blo)s(c)m(k)552 b(178)0 4315 y Fq(PYINT2)34
48801 b Fw(common)d(blo)s(c)m(k)552 b(184)0 4424 y Fq(PYINT3)34
48802 b Fw(common)d(blo)s(c)m(k)552 b(186)0 4532 y Fq(PYINT4)34
48803 b Fw(common)d(blo)s(c)m(k)552 b(186)0 4640 y Fq(PYINT5)34
48804 b Fw(common)d(blo)s(c)m(k)552 b(187)0 4749 y Fq(PYINT6)34
48805 b Fw(common)d(blo)s(c)m(k)552 b(187)0 4857 y Fq(PYINT7)34
48806 b Fw(common)d(blo)s(c)m(k)552 b(187)0 4965 y Fq(PYINT8)34
48807 b Fw(common)d(blo)s(c)m(k)552 b(188)0 5074 y Fq(PYINT9)34
48808 b Fw(common)d(blo)s(c)m(k)552 b(188)0 5182 y Fq(PYKCUT)34
48809 b Fw(subroutine)717 b(141)0 5290 y Fq(PYKLIM)34 b Fw(subroutine)717
48810 b(177)0 5399 y Fq(PYKMAP)34 b Fw(subroutine)717 b(177)0
48811 5507 y Fq(PYMAXI)34 b Fw(subroutine)717 b(176)0 5615
48812 y Fq(PYMULT)34 b Fw(subroutine)717 b(177)2126 -18 y Fq(PYOFSH)34
48813 b Fw(subroutine)717 b(177)2126 90 y Fq(PYPARS)34 b Fw(common)d(blo)s(c)
48814 m(k)346 b(148,)32 b(164)2126 198 y Fq(PYPILE)i Fw(subroutine)717
48815 b(176)2126 307 y Fq(PYQQBH)34 b Fw(subroutine)717 b(178)2126
48816 415 y Fq(PYRAND)34 b Fw(subroutine)717 b(177)2126 523
48817 y Fq(PYREMN)34 b Fw(subroutine)717 b(177)2126 632 y Fq(PYRESD)34
48818 b Fw(subroutine)717 b(177)2126 740 y Fq(PYSAVE)34 b Fw(subroutine)717
48819 b(176)2126 848 y Fq(PYSCAT)34 b Fw(subroutine)717 b(177)2126
48820 957 y Fq(PYSIGH)34 b Fw(subroutine)717 b(177)2126 1065
48821 y Fq(PYSPEN)34 b Fw(function)817 b(178)2126 1173 y Fq(PYSPLI)34
48822 b Fw(subroutine)717 b(178)2126 1282 y Fq(PYSSPA)34 b
48823 Fw(subroutine)717 b(207)2126 1390 y Fq(PYSTAT)34 b Fw(subroutine)717
48824 b(141)2126 1498 y Fq(PYSTEL)34 b Fw(subroutine)717 b(177)2126
48825 1607 y Fq(PYSTFL)34 b Fw(subroutine)717 b(177)2126 1715
48826 y Fq(PYSTFU)34 b Fw(subroutine)717 b(177)2126 1823 y
48827 Fq(PYSTGA)34 b Fw(subroutine)717 b(177)2126 1932 y Fq(PYSTPI)34
48828 b Fw(subroutine)717 b(178)2126 2040 y Fq(PYSTPR)34 b
48829 Fw(subroutine)717 b(178)2126 2148 y Fq(PYSUBS)34 b Fw(common)d(blo)s(c)
48830 m(k)552 b(144)2126 2257 y Fq(PYTEST)34 b Fw(subroutine)766
48831 b(33)2126 2365 y Fq(PYUPEV)34 b Fw(subroutine)717 b(169)2126
48832 2473 y Fq(PYUPIN)34 b Fw(subroutine)717 b(169)2126 2582
48833 y Fq(PYUPPR)34 b Fw(common)d(blo)s(c)m(k)552 b(171)2126
48834 2690 y Fq(PYWAUX)34 b Fw(subroutine)717 b(178)2126 2798
48835 y Fq(PYWIDT)34 b Fw(subroutine)717 b(177)2126 2907 y
48836 Fq(PYXTOT)34 b Fw(subroutine)717 b(176)2126 3015 y Fq(Q2UP)34
48837 b Fw(in)d Fq(PYUPPR)850 b Fw(172)2126 3123 y Fq(RLU)33
48838 b Fw(function)1020 b(49)2126 3232 y Fq(RLUGET)34 b Fw(subroutine)766
48839 b(49)2126 3340 y Fq(RLUSET)34 b Fw(subroutine)766 b(50)2126
48840 3448 y Fq(RRLU)34 b Fw(in)d Fq(LUDATR)899 b Fw(51)2126
48841 3557 y Fq(SIGH)34 b Fw(in)d Fq(PYINT3)850 b Fw(186)2126
48842 3665 y Fq(SIGT)34 b Fw(in)d Fq(PYINT7)850 b Fw(188)2126
48843 3774 y Fq(ULALEM)34 b Fw(function)817 b(274)2126 3882
48844 y Fq(ULALPS)34 b Fw(function)817 b(275)2126 3990 y Fq(ULANGL)34
48845 b Fw(function)817 b(258)2126 4099 y Fq(ULMASS)34 b Fw(function)817
48846 b(257)2126 4207 y Fq(V)33 b Fw(in)f Fq(LUJETS)1052 b
48847 Fw(60)2126 4315 y Fq(VCKM)34 b Fw(in)d Fq(LUDAT2)850
48848 b Fw(280)2126 4424 y Fq(VINT)34 b Fw(in)d Fq(PYINT1)850
48849 b Fw(181)2126 4532 y Fq(WIDE)34 b Fw(in)d Fq(PYINT4)850
48850 b Fw(186)2126 4640 y Fq(WIDP)34 b Fw(in)d Fq(PYINT4)850
48851 b Fw(186)2126 4749 y Fq(WIDS)34 b Fw(in)d Fq(PYINT4)850
48852 b Fw(186)2126 4857 y Fq(XPANH)34 b Fw(in)e Fq(PYINT8)798
48853 b Fw(188)2126 4965 y Fq(XPANL)34 b Fw(in)e Fq(PYINT8)798
48854 b Fw(188)2126 5074 y Fq(XPBEH)34 b Fw(in)e Fq(PYINT8)798
48855 b Fw(188)2126 5182 y Fq(XPDIR)34 b Fw(in)e Fq(PYINT8)798
48856 b Fw(188)2126 5290 y Fq(XPVMD)34 b Fw(in)e Fq(PYINT8)798
48857 b Fw(188)2126 5399 y Fq(XSEC)34 b Fw(in)d Fq(PYINT5)850
48858 b Fw(187)2126 5507 y Fq(XSFX)34 b Fw(in)d Fq(PYINT3)850
48859 b Fw(186)1817 5953 y(324)p eop
48860 %%Trailer
48861 end
48862 userdict /end-hook known{end-hook}if
48863 %%EOF