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0795afa3 1#include "isajet/pilot.h"
2 SUBROUTINE XWWWW
3C
4C SET UP W+ W- -> W+ W- AMPLITUDES AS RATIONAL FUNCTIONS OF Z
5C
6C RE(F(Z,L)) = SUM(I,J)(ANWWWW(I+1,J,L)*Z**I
7C /(ADWWWW(1,J)+ADWWWW(2,J)*Z))
8C IM(F(Z,L)) = AIWWWW(L) (INDEPENDENT OF Z)
9C J LABELS PIECES WITH SAME DENOMINATOR.
10C L=1 FOR 0,0; L=2 FOR 1,-1; L=3 FOR 1,1; L=4 FOR 0,1
11C
12C *NOTE* A FACTOR OF SIN(THETA)/SQRT(2) IS REMOVED FROM F01
13C
14#include "isajet/const.inc"
15#include "isajet/jetpar.inc"
16#include "isajet/wcon.inc"
17#include "isajet/hcon.inc"
18#if defined(CERNLIB_DOUBLE)
19 DOUBLE PRECISION WM,ZM,ZM2,ZM3,ZM4,ZM5,ZM6,HM,HM2,HM3,HM4,HG,HG2
20 $,PROPH,RTS,S,S2,S3,SW,QQ0,QQI,QQF
21#endif
22C
23C USE UNITS OF WM TO AVOID LARGE NUMBERS - NOTE ANWWWW/ADWWWW
24C AND AIWWWW ARE DIMENSIONLESS
25 WM=WMASS(2)
26 ZM=WMASS(4)/WM
27 ZM2=ZM**2
28 ZM3=ZM**3
29 ZM4=ZM**4
30 ZM5=ZM**5
31 ZM6=ZM**6
32 HM=HMASS/WM
33 HM2=HM**2
34 HM3=HM**3
35 HM4=HM**4
36 HG=HGAM/WM
37 HG2=HG**2
38 RTS=QMW/WM
39 S=RTS**2
40 S2=S**2
41 S3=S**3
42 PROPH=(S-HM2)**2+(HM*HG)**2
43C
44 CW=1./ZM
45 CW2=CW**2
46 SW2=1.-CW2
47 SW=SQRT(SW2)
48 QQ0=.5*RTS
49 QQI=.5*SQRT(S-4.)
50 QQF=.5*SQRT(S-4.)
51 GSQ=4.*PI*ALFA/SW2
52C
53C FROM WWWW3.EX
54 ANWWWW(1,1,1) = 8.00E+00 * S - 3.00E+00 * S2 - 1.60E+01
55 $ * ( HM2 / PROPH) + 1.60E+01 * (S / PROPH) - 1.60E+01 * (S2
56 $ / PROPH) + 4.00E+00 * (S3 / PROPH) + 1.60E+01 * ((HM2 * S)
57 $ / PROPH) - 4.00E+00 * ((HM2 * S2) / PROPH)
58 ANWWWW(1,1,2) = 2.00E+00 * S
59 ANWWWW(1,1,3) = -1.60E+01 + 6.00E+00 * S - 1.60E+01 * (HM2
60 $ / PROPH) + 1.60E+01 * (S / PROPH) - 8.00E+00 * (S2 / PROPH)
61 $ + 8.00E+00 * ((HM2 * S) / PROPH)
62 ANWWWW(1,1,4) = -2.40E+01 * RTS + 6.40E+01 * (RTS / (S
63 $ - 1.00E+00 * ZM2)) + 1.60E+01 * ((RTS * S) / (S - 1.00E+00
64 $ * ZM2)) - 8.00E+00 * ((RTS * S2) / (S - 1.00E+00 * ZM2))
65 $ + 6.40E+01 * ((RTS * SW2) / S) - 6.40E+01 * ((RTS * SW2) / (S
66 $ - 1.00E+00 * ZM2)) - 1.60E+01 * ((RTS * S * SW2) / (S
67 $ - 1.00E+00 * ZM2)) + 8.00E+00 * ((RTS * S2 * SW2) / (S
68 $ - 1.00E+00 * ZM2)) + 6.00E+00 * RTS * S + 1.60E+01 * RTS
69 $ * SW2 - 8.00E+00 * RTS * S * SW2
70 ANWWWW(1,2,1) = -6.40E+01 + 1.60E+01 * S - 1.20E+01 * S2
71 $ + 3.00E+00 * S3 + 6.40E+01 * SW2 - 1.60E+01 * S * SW2
72 $ + 1.20E+01 * S2 * SW2 - 3.00E+00 * S3 * SW2
73 ANWWWW(1,2,2) = 6.40E+01 + 8.00E+00 * S - 2.00E+00 * S2
74 $ - 6.40E+01 * SW2 - 8.00E+00 * S * SW2 + 2.00E+00 * S2 * SW2
75 ANWWWW(1,2,3) = -6.40E+01 + 2.40E+01 * S - 6.00E+00 * S2
76 $ + 6.40E+01 * SW2 - 2.40E+01 * S * SW2 + 6.00E+00 * S2 * SW2
77 ANWWWW(1,2,4) = -9.60E+01 * RTS + 1.60E+01 * RTS * S + 2.00E+00
78 $ * RTS * S2 + 9.60E+01 * RTS * SW2 - 1.60E+01 * RTS * S * SW2
79 $ - 2.00E+00 * RTS * S2 * SW2
80 ANWWWW(1,3,1) = -6.40E+01 * SW2 + 1.60E+01 * S * SW2 - 1.20E+01
81 $ * S2 * SW2 + 3.00E+00 * S3 * SW2
82 ANWWWW(1,3,2) = 6.40E+01 * SW2 + 8.00E+00 * S * SW2 - 2.00E+00
83 $ * S2 * SW2
84 ANWWWW(1,3,3) = -6.40E+01 * SW2 + 2.40E+01 * S * SW2 - 6.00E+00
85 $ * S2 * SW2
86 ANWWWW(1,3,4) = -9.60E+01 * RTS * SW2 + 1.60E+01 * RTS * S * SW2
87 $ + 2.00E+00 * RTS * S2 * SW2
88 ANWWWW(1,4,1) = -3.20E+01 + 1.60E+01 * S - 2.00E+00 * S2
89 ANWWWW(1,4,2) = -4.00E+00 * S
90 ANWWWW(1,4,3) = 4.00E+00 * S
91 ANWWWW(1,4,4) = -1.60E+01 * RTS + 4.00E+00 * RTS * S
92 ANWWWW(2,1,1) = -2.40E+01 * S + 6.00E+00 * S2 + 4.80E+01 * SW2
93 $ + 6.40E+01 * (1.00E+00 / (S - 1.00E+00 * ZM2)) + 4.80E+01 * (S
94 $ / (S - 1.00E+00 * ZM2)) - 4.00E+00 * (S3 / (S - 1.00E+00
95 $ * ZM2)) + 6.40E+01 * (SW2 / S) - 6.40E+01 * (SW2 / (S
96 $ - 1.00E+00 * ZM2)) - 4.80E+01 * ((S * SW2) / (S - 1.00E+00
97 $ * ZM2)) + 4.00E+00 * ((S3 * SW2) / (S - 1.00E+00 * ZM2))
98 $ - 4.00E+00 * S2 * SW2
99 ANWWWW(2,1,2) = 0.00E+00
100 ANWWWW(2,1,3) = 1.60E+01 * SW2 + 6.40E+01 * (1.00E+00 / (S
101 $ - 1.00E+00 * ZM2)) + 1.60E+01 * (S / (S - 1.00E+00 * ZM2))
102 $ - 8.00E+00 * (S2 / (S - 1.00E+00 * ZM2)) + 6.40E+01 * (SW2
103 $ / S) - 6.40E+01 * (SW2 / (S - 1.00E+00 * ZM2)) - 1.60E+01
104 $ * ((S * SW2) / (S - 1.00E+00 * ZM2)) + 8.00E+00 * ((S2 * SW2)
105 $ / (S - 1.00E+00 * ZM2)) - 8.00E+00 * S * SW2
106 ANWWWW(2,1,4) = 2.00E+00 * RTS * S
107 ANWWWW(2,2,1) = -6.40E+01 - 1.12E+02 * S + 5.20E+01 * S2
108 $ - 5.00E+00 * S3 + 6.40E+01 * SW2 + 1.12E+02 * S * SW2
109 $ - 5.20E+01 * S2 * SW2 + 5.00E+00 * S3 * SW2
110 ANWWWW(2,2,2) = -8.00E+00 * S + 2.00E+00 * S2 + 8.00E+00 * S
111 $ * SW2 - 2.00E+00 * S2 * SW2
112 ANWWWW(2,2,3) = -5.60E+01 * S + 1.40E+01 * S2 + 5.60E+01 * S
113 $ * SW2 - 1.40E+01 * S2 * SW2
114 ANWWWW(2,2,4) = 1.60E+02 * RTS - 8.00E+00 * RTS * S - 4.00E+00
115 $ * RTS * S2 - 1.60E+02 * RTS * SW2 + 8.00E+00 * RTS * S * SW2
116 $ + 4.00E+00 * RTS * S2 * SW2
117 ANWWWW(2,3,1) = -6.40E+01 * SW2 - 1.12E+02 * S * SW2 + 5.20E+01
118 $ * S2 * SW2 - 5.00E+00 * S3 * SW2
119 ANWWWW(2,3,2) = -8.00E+00 * S * SW2 + 2.00E+00 * S2 * SW2
120 ANWWWW(2,3,3) = -5.60E+01 * S * SW2 + 1.40E+01 * S2 * SW2
121 ANWWWW(2,3,4) = 1.60E+02 * RTS * SW2 - 8.00E+00 * RTS * S * SW2
122 $ - 4.00E+00 * RTS * S2 * SW2
123 ANWWWW(2,4,1) = -1.60E+01 * S + 4.00E+00 * S2
124 ANWWWW(2,4,2) = 0.00E+00
125 ANWWWW(2,4,3) = 0.00E+00
126 ANWWWW(2,4,4) = -4.00E+00 * RTS * S
127 ANWWWW(3,1,1) = S2
128 ANWWWW(3,1,2) = -2.00E+00 * S
129 ANWWWW(3,1,3) = 2.00E+00 * S
130 ANWWWW(3,1,4) = 0.00E+00
131 ANWWWW(3,2,1) = 1.60E+02 * S - 3.60E+01 * S2 + S3 - 1.60E+02
132 $ * S * SW2 + 3.60E+01 * S2 * SW2 - 1.00E+00 * S3 * SW2
133 ANWWWW(3,2,2) = -6.40E+01 - 8.00E+00 * S + 2.00E+00 * S2
134 $ + 6.40E+01 * SW2 + 8.00E+00 * S * SW2 - 2.00E+00 * S2 * SW2
135 ANWWWW(3,2,3) = 6.40E+01 + 4.00E+01 * S - 1.00E+01 * S2
136 $ - 6.40E+01 * SW2 - 4.00E+01 * S * SW2 + 1.00E+01 * S2 * SW2
137 ANWWWW(3,2,4) = -8.00E+00 * RTS * S + 2.00E+00 * RTS * S2
138 $ + 8.00E+00 * RTS * S * SW2 - 2.00E+00 * RTS * S2 * SW2
139 ANWWWW(3,3,1) = 1.60E+02 * S * SW2 - 3.60E+01 * S2 * SW2 + S3
140 $ * SW2
141 ANWWWW(3,3,2) = -6.40E+01 * SW2 - 8.00E+00 * S * SW2 + 2.00E+00
142 $ * S2 * SW2
143 ANWWWW(3,3,3) = 6.40E+01 * SW2 + 4.00E+01 * S * SW2 - 1.00E+01
144 $ * S2 * SW2
145 ANWWWW(3,3,4) = -8.00E+00 * RTS * S * SW2 + 2.00E+00 * RTS * S2
146 $ * SW2
147 ANWWWW(3,4,1) = -2.00E+00 * S2
148 ANWWWW(3,4,2) = 4.00E+00 * S
149 ANWWWW(3,4,3) = -4.00E+00 * S
150 ANWWWW(3,4,4) = 0.00E+00
151 ANWWWW(4,1,1) = 0.00E+00
152 ANWWWW(4,1,2) = 0.00E+00
153 ANWWWW(4,1,3) = 0.00E+00
154 ANWWWW(4,1,4) = 0.00E+00
155 ANWWWW(4,2,1) = -4.00E+00 * S2 + S3 + 4.00E+00 * S2 * SW2
156 $ - 1.00E+00 * S3 * SW2
157 ANWWWW(4,2,2) = 8.00E+00 * S - 2.00E+00 * S2 - 8.00E+00 * S
158 $ * SW2 + 2.00E+00 * S2 * SW2
159 ANWWWW(4,2,3) = -8.00E+00 * S + 2.00E+00 * S2 + 8.00E+00 * S
160 $ * SW2 - 2.00E+00 * S2 * SW2
161 ANWWWW(4,2,4) = 0.00E+00
162 ANWWWW(4,3,1) = -4.00E+00 * S2 * SW2 + S3 * SW2
163 ANWWWW(4,3,2) = 8.00E+00 * S * SW2 - 2.00E+00 * S2 * SW2
164 ANWWWW(4,3,3) = -8.00E+00 * S * SW2 + 2.00E+00 * S2 * SW2
165 ANWWWW(4,3,4) = 0.00E+00
166 ANWWWW(4,4,1) = 0.00E+00
167 ANWWWW(4,4,2) = 0.00E+00
168 ANWWWW(4,4,3) = 0.00E+00
169 ANWWWW(4,4,4) = 0.00E+00
170C
171 ADWWWW(1,1) = 1.00E+00
172 ADWWWW(1,2) = -4.00E+00 + S + 2.00E+00 * ZM2
173 ADWWWW(1,3) = -4.00E+00 + S
174 ADWWWW(1,4) = -4.00E+00 + 2.00E+00 * HM2 + S
175 ADWWWW(2,1) = 0.00E+00
176 ADWWWW(2,2) = 4.00E+00 - 1.00E+00 * S
177 ADWWWW(2,3) = 4.00E+00 - 1.00E+00 * S
178 ADWWWW(2,4) = 4.00E+00 - 1.00E+00 * S
179C
180 AIWWWW(1) = 1.60E+01 * ((HG * HM) / PROPH) - 1.60E+01 * ((HG
181 $ * HM * S) / PROPH) + 4.00E+00 * ((HG * HM * S2) / PROPH)
182 AIWWWW(2) = 0.00E+00
183 AIWWWW(3) = 1.60E+01 * ((HG * HM) / PROPH) - 8.00E+00 * ((HG
184 $ * HM * S) / PROPH)
185 AIWWWW(4) = 0.00E+00
186C
187C RESTORE MISSING FACTORS
188 DO 100 J=1,4
189 AIWWWW(J)=AIWWWW(J)*GSQ/(16.)
190 DO 100 I=1,4
191 DO 110 K=1,4
192110 ANWWWW(K,I,J)=ANWWWW(K,I,J)*GSQ/(16.)
193100 CONTINUE
194C
195 RETURN
196 END