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21886bb6 1*
2* $Id$
3*
4* $Log$
7ef50f50 5* Revision 1.4 2000/09/18 10:02:36 hristov
6* Makefile added to PDF8
7*
21886bb6 8* Revision 1.1.1.2 1996/10/30 08:29:46 cernlib
9* Version 7.04
10*
11* Revision 1.1.1.1 1996/04/12 15:29:35 plothow
12* Version 7.01
13*
14*
15#include "pdf/pilot.h"
16C-----------------------------------------------------------------------
17 SUBROUTINE SFEHLQ1(DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL)
18C ::::::: EHLQ SET 1 SUPERFAST DOUBLE PRECISION :::::::
19C
7ef50f50 20#if defined(CERNLIB_DOUBLE)
21 DOUBLE PRECISION
22#endif
23#if defined(CERNLIB_SINGLE)
24 REAL
25#endif
21886bb6 26 + DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL
27 PARAMETER (ALAM=0.2, Q02=5.0)
28#include "pdf/w50511.inc"
29 DIMENSION XQ(9),TX(6),TT(6),TS(6),NEHLQ(8),CEHLQ(6,6,2,8)
30C
31C...The following data lines are coefficients needed in the
32C...Eichten, Hinchliffe, Lane, Quigg proton structure function
33C...parametrizations, see below.
34C...Powers of 1-x in different cases.
35 DATA NEHLQ/3,4,7,5,7,7,7,7/
36C...Expansion coefficients for up valence quark distribution.
37 DATA (((CEHLQ(IX,IT,NX,1),IX=1,6),IT=1,6),NX=1,2)/
38 1 7.677E-01,-2.087E-01,-3.303E-01,-2.517E-02,-1.570E-02,-1.000E-04,
39 2-5.326E-01,-2.661E-01, 3.201E-01, 1.192E-01, 2.434E-02, 7.620E-03,
40 3 2.162E-01, 1.881E-01,-8.375E-02,-6.515E-02,-1.743E-02,-5.040E-03,
41 4-9.211E-02,-9.952E-02, 1.373E-02, 2.506E-02, 8.770E-03, 2.550E-03,
42 5 3.670E-02, 4.409E-02, 9.600E-04,-7.960E-03,-3.420E-03,-1.050E-03,
43 6-1.549E-02,-2.026E-02,-3.060E-03, 2.220E-03, 1.240E-03, 4.100E-04,
44 1 2.395E-01, 2.905E-01, 9.778E-02, 2.149E-02, 3.440E-03, 5.000E-04,
45 2 1.751E-02,-6.090E-03,-2.687E-02,-1.916E-02,-7.970E-03,-2.750E-03,
46 3-5.760E-03,-5.040E-03, 1.080E-03, 2.490E-03, 1.530E-03, 7.500E-04,
47 4 1.740E-03, 1.960E-03, 3.000E-04,-3.400E-04,-2.900E-04,-1.800E-04,
48 5-5.300E-04,-6.400E-04,-1.700E-04, 4.000E-05, 6.000E-05, 4.000E-05,
49 6 1.700E-04, 2.200E-04, 8.000E-05, 1.000E-05,-1.000E-05,-1.000E-05/
50C...Expansion coefficients for down valence quark distribution.
51 DATA (((CEHLQ(IX,IT,NX,2),IX=1,6),IT=1,6),NX=1,2)/
52 1 3.813E-01,-8.090E-02,-1.634E-01,-2.185E-02,-8.430E-03,-6.200E-04,
53 2-2.948E-01,-1.435E-01, 1.665E-01, 6.638E-02, 1.473E-02, 4.080E-03,
54 3 1.252E-01, 1.042E-01,-4.722E-02,-3.683E-02,-1.038E-02,-2.860E-03,
55 4-5.478E-02,-5.678E-02, 8.900E-03, 1.484E-02, 5.340E-03, 1.520E-03,
56 5 2.220E-02, 2.567E-02,-3.000E-05,-4.970E-03,-2.160E-03,-6.500E-04,
57 6-9.530E-03,-1.204E-02,-1.510E-03, 1.510E-03, 8.300E-04, 2.700E-04,
58 1 1.261E-01, 1.354E-01, 3.958E-02, 8.240E-03, 1.660E-03, 4.500E-04,
59 2 3.890E-03,-1.159E-02,-1.625E-02,-9.610E-03,-3.710E-03,-1.260E-03,
60 3-1.910E-03,-5.600E-04, 1.590E-03, 1.590E-03, 8.400E-04, 3.900E-04,
61 4 6.400E-04, 4.900E-04,-1.500E-04,-2.900E-04,-1.800E-04,-1.000E-04,
62 5-2.000E-04,-1.900E-04, 0.000E+00, 6.000E-05, 4.000E-05, 3.000E-05,
63 6 7.000E-05, 8.000E-05, 2.000E-05,-1.000E-05,-1.000E-05,-1.000E-05/
64C...Expansion coefficients for up and down sea quark distributions.
65 DATA (((CEHLQ(IX,IT,NX,3),IX=1,6),IT=1,6),NX=1,2)/
66 1 6.870E-02,-6.861E-02, 2.973E-02,-5.400E-03, 3.780E-03,-9.700E-04,
67 2-1.802E-02, 1.400E-04, 6.490E-03,-8.540E-03, 1.220E-03,-1.750E-03,
68 3-4.650E-03, 1.480E-03,-5.930E-03, 6.000E-04,-1.030E-03,-8.000E-05,
69 4 6.440E-03, 2.570E-03, 2.830E-03, 1.150E-03, 7.100E-04, 3.300E-04,
70 5-3.930E-03,-2.540E-03,-1.160E-03,-7.700E-04,-3.600E-04,-1.900E-04,
71 6 2.340E-03, 1.930E-03, 5.300E-04, 3.700E-04, 1.600E-04, 9.000E-05,
72 1 1.014E+00,-1.106E+00, 3.374E-01,-7.444E-02, 8.850E-03,-8.700E-04,
73 2 9.233E-01,-1.285E+00, 4.475E-01,-9.786E-02, 1.419E-02,-1.120E-03,
74 3 4.888E-02,-1.271E-01, 8.606E-02,-2.608E-02, 4.780E-03,-6.000E-04,
75 4-2.691E-02, 4.887E-02,-1.771E-02, 1.620E-03, 2.500E-04,-6.000E-05,
76 5 7.040E-03,-1.113E-02, 1.590E-03, 7.000E-04,-2.000E-04, 0.000E+00,
77 6-1.710E-03, 2.290E-03, 3.800E-04,-3.500E-04, 4.000E-05, 1.000E-05/
78C...Expansion coefficients for gluon distribution.
79 DATA (((CEHLQ(IX,IT,NX,4),IX=1,6),IT=1,6),NX=1,2)/
80 1 9.482E-01,-9.578E-01, 1.009E-01,-1.051E-01, 3.456E-02,-3.054E-02,
81 2-9.627E-01, 5.379E-01, 3.368E-01,-9.525E-02, 1.488E-02,-2.051E-02,
82 3 4.300E-01,-8.306E-02,-3.372E-01, 4.902E-02,-9.160E-03, 1.041E-02,
83 4-1.925E-01,-1.790E-02, 2.183E-01, 7.490E-03, 4.140E-03,-1.860E-03,
84 5 8.183E-02, 1.926E-02,-1.072E-01,-1.944E-02,-2.770E-03,-5.200E-04,
85 6-3.884E-02,-1.234E-02, 5.410E-02, 1.879E-02, 3.350E-03, 1.040E-03,
86 1 2.948E+01,-3.902E+01, 1.464E+01,-3.335E+00, 5.054E-01,-5.915E-02,
87 2 2.559E+01,-3.955E+01, 1.661E+01,-4.299E+00, 6.904E-01,-8.243E-02,
88 3-1.663E+00, 1.176E+00, 1.118E+00,-7.099E-01, 1.948E-01,-2.404E-02,
89 4-2.168E-01, 8.170E-01,-7.169E-01, 1.851E-01,-1.924E-02,-3.250E-03,
90 5 2.088E-01,-4.355E-01, 2.239E-01,-2.446E-02,-3.620E-03, 1.910E-03,
91 6-9.097E-02, 1.601E-01,-5.681E-02,-2.500E-03, 2.580E-03,-4.700E-04/
92C...Expansion coefficients for strange sea quark distribution.
93 DATA (((CEHLQ(IX,IT,NX,5),IX=1,6),IT=1,6),NX=1,2)/
94 1 4.968E-02,-4.173E-02, 2.102E-02,-3.270E-03, 3.240E-03,-6.700E-04,
95 2-6.150E-03,-1.294E-02, 6.740E-03,-6.890E-03, 9.000E-04,-1.510E-03,
96 3-8.580E-03, 5.050E-03,-4.900E-03,-1.600E-04,-9.400E-04,-1.500E-04,
97 4 7.840E-03, 1.510E-03, 2.220E-03, 1.400E-03, 7.000E-04, 3.500E-04,
98 5-4.410E-03,-2.220E-03,-8.900E-04,-8.500E-04,-3.600E-04,-2.000E-04,
99 6 2.520E-03, 1.840E-03, 4.100E-04, 3.900E-04, 1.600E-04, 9.000E-05,
100 1 9.235E-01,-1.085E+00, 3.464E-01,-7.210E-02, 9.140E-03,-9.100E-04,
101 2 9.315E-01,-1.274E+00, 4.512E-01,-9.775E-02, 1.380E-02,-1.310E-03,
102 3 4.739E-02,-1.296E-01, 8.482E-02,-2.642E-02, 4.760E-03,-5.700E-04,
103 4-2.653E-02, 4.953E-02,-1.735E-02, 1.750E-03, 2.800E-04,-6.000E-05,
104 5 6.940E-03,-1.132E-02, 1.480E-03, 6.500E-04,-2.100E-04, 0.000E+00,
105 6-1.680E-03, 2.340E-03, 4.200E-04,-3.400E-04, 5.000E-05, 1.000E-05/
106C...Expansion coefficients for charm sea quark distribution.
107 DATA (((CEHLQ(IX,IT,NX,6),IX=1,6),IT=1,6),NX=1,2)/
108 1 9.270E-03,-1.817E-02, 9.590E-03,-6.390E-03, 1.690E-03,-1.540E-03,
109 2 5.710E-03,-1.188E-02, 6.090E-03,-4.650E-03, 1.240E-03,-1.310E-03,
110 3-3.960E-03, 7.100E-03,-3.590E-03, 1.840E-03,-3.900E-04, 3.400E-04,
111 4 1.120E-03,-1.960E-03, 1.120E-03,-4.800E-04, 1.000E-04,-4.000E-05,
112 5 4.000E-05,-3.000E-05,-1.800E-04, 9.000E-05,-5.000E-05,-2.000E-05,
113 6-4.200E-04, 7.300E-04,-1.600E-04, 5.000E-05, 5.000E-05, 5.000E-05,
114 1 8.098E-01,-1.042E+00, 3.398E-01,-6.824E-02, 8.760E-03,-9.000E-04,
115 2 8.961E-01,-1.217E+00, 4.339E-01,-9.287E-02, 1.304E-02,-1.290E-03,
116 3 3.058E-02,-1.040E-01, 7.604E-02,-2.415E-02, 4.600E-03,-5.000E-04,
117 4-2.451E-02, 4.432E-02,-1.651E-02, 1.430E-03, 1.200E-04,-1.000E-04,
118 5 1.122E-02,-1.457E-02, 2.680E-03, 5.800E-04,-1.200E-04, 3.000E-05,
119 6-7.730E-03, 7.330E-03,-7.600E-04,-2.400E-04, 1.000E-05, 0.000E+00/
120C...Expansion coefficients for bottom sea quark distribution.
121 DATA (((CEHLQ(IX,IT,NX,7),IX=1,6),IT=1,6),NX=1,2)/
122 1 9.010E-03,-1.401E-02, 7.150E-03,-4.130E-03, 1.260E-03,-1.040E-03,
123 2 6.280E-03,-9.320E-03, 4.780E-03,-2.890E-03, 9.100E-04,-8.200E-04,
124 3-2.930E-03, 4.090E-03,-1.890E-03, 7.600E-04,-2.300E-04, 1.400E-04,
125 4 3.900E-04,-1.200E-03, 4.400E-04,-2.500E-04, 2.000E-05,-2.000E-05,
126 5 2.600E-04, 1.400E-04,-8.000E-05, 1.000E-04, 1.000E-05, 1.000E-05,
127 6-2.600E-04, 3.200E-04, 1.000E-05,-1.000E-05, 1.000E-05,-1.000E-05,
128 1 8.029E-01,-1.075E+00, 3.792E-01,-7.843E-02, 1.007E-02,-1.090E-03,
129 2 7.903E-01,-1.099E+00, 4.153E-01,-9.301E-02, 1.317E-02,-1.410E-03,
130 3-1.704E-02,-1.130E-02, 2.882E-02,-1.341E-02, 3.040E-03,-3.600E-04,
131 4-7.200E-04, 7.230E-03,-5.160E-03, 1.080E-03,-5.000E-05,-4.000E-05,
132 5 3.050E-03,-4.610E-03, 1.660E-03,-1.300E-04,-1.000E-05, 1.000E-05,
133 6-4.360E-03, 5.230E-03,-1.610E-03, 2.000E-04,-2.000E-05, 0.000E+00/
134C...Expansion coefficients for top sea quark distribution.
135 DATA (((CEHLQ(IX,IT,NX,8),IX=1,6),IT=1,6),NX=1,2)/
136 1 4.410E-03,-7.480E-03, 3.770E-03,-2.580E-03, 7.300E-04,-7.100E-04,
137 2 3.840E-03,-6.050E-03, 3.030E-03,-2.030E-03, 5.800E-04,-5.900E-04,
138 3-8.800E-04, 1.660E-03,-7.500E-04, 4.700E-04,-1.000E-04, 1.000E-04,
139 4-8.000E-05,-1.500E-04, 1.200E-04,-9.000E-05, 3.000E-05, 0.000E+00,
140 5 1.300E-04,-2.200E-04,-2.000E-05,-2.000E-05,-2.000E-05,-2.000E-05,
141 6-7.000E-05, 1.900E-04,-4.000E-05, 2.000E-05, 0.000E+00, 0.000E+00,
142 1 6.623E-01,-9.248E-01, 3.519E-01,-7.930E-02, 1.110E-02,-1.180E-03,
143 2 6.380E-01,-9.062E-01, 3.582E-01,-8.479E-02, 1.265E-02,-1.390E-03,
144 3-2.581E-02, 2.125E-02, 4.190E-03,-4.980E-03, 1.490E-03,-2.100E-04,
145 4 7.100E-04, 5.300E-04,-1.270E-03, 3.900E-04,-5.000E-05,-1.000E-05,
146 5 3.850E-03,-5.060E-03, 1.860E-03,-3.500E-04, 4.000E-05, 0.000E+00,
147 6-3.530E-03, 4.460E-03,-1.500E-03, 2.700E-04,-3.000E-05, 0.000E+00/
148C
149C
150C...Proton structure functions from Eichten, Hinchliffe, Lane, Quigg.
151C...Allowed variable range: 5 GeV^2 < Q^2 < 1E8 GeV^2; 1E-4 < x < 1
152C
153C...Determine Lamdba and x and t expansion variables.
154 X = DX
155 SCALE = DSCALE
156 KF = ABS(NFL)
157 Q2 =SCALE**2
158 TMIN=LOG(Q02/ALAM**2)
159 TMAX=LOG(1E8/ALAM**2)
160 T=LOG(MAX(1.,Q2/ALAM**2))
161 VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN)))
162 NX=1
163 IF(X.LE.0.1) NX=2
164 IF(NX.EQ.1) VX=(2.*X-1.1)/0.9
165 IF(NX.EQ.2) VX=MAX(-1.,(2.*LOG(X)+11.51293)/6.90776)
166 CXS=1.
167
168C...Chebyshev polynomials for x and t expansion.
169 TX(1)=1.
170 TX(2)=VX
171 TX(3)=2.*VX**2-1.
172 TX(4)=4.*VX**3-3.*VX
173 TX(5)=8.*VX**4-8.*VX**2+1.
174 TX(6)=16.*VX**5-20.*VX**3+5.*VX
175 TT(1)=1.
176 TT(2)=VT
177 TT(3)=2.*VT**2-1.
178 TT(4)=4.*VT**3-3.*VT
179 TT(5)=8.*VT**4-8.*VT**2+1.
180 TT(6)=16.*VT**5-20.*VT**3+5.*VT
181
182C...Calculate structure functions.
183 DO 120 KFL=1,6
184 XQSUM=0.
185 DO 110 IT=1,6
186 DO 110 IX=1,6
187 110 XQSUM=XQSUM+CEHLQ(IX,IT,NX,KFL)*TX(IX)*TT(IT)
188 120 XQ(KFL)=XQSUM*(1.-X)**NEHLQ(KFL)*CXS
189C
190C...Put into output variables
191 DUP = XQ(1)
192 DDN = XQ(2)
193 DSEA = XQ(3)
194 DGL = XQ(4)
195 DSTR = XQ(5)
196 DCHM = XQ(6)
197 DBOT = 0.D0
198 DTOP = 0.D0
199C
200 IF (KF.GE.5) THEN
201C
202C...Special expansion for bottom (threshold effects).
203 BOT = 0.
204 TMIN=8.1905
205 IF(T.LE.TMIN) GOTO 140
206 VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN)))
207 TT(1)=1.
208 TT(2)=VT
209 TT(3)=2.*VT**2-1.
210 TT(4)=4.*VT**3-3.*VT
211 TT(5)=8.*VT**4-8.*VT**2+1.
212 TT(6)=16.*VT**5-20.*VT**3+5.*VT
213 XQSUM=0.
214 DO 130 IT=1,6
215 DO 130 IX=1,6
216 130 XQSUM=XQSUM+CEHLQ(IX,IT,NX,7)*TX(IX)*TT(IT)
217 BOT=XQSUM*(1.-X)**NEHLQ(7)*CXS
218 140 CONTINUE
219 ENDIF
220 DBOT = BOT
221C--
222 IF (KF.GE.6) THEN
223C
224C...Special expansion for top (threshold effects).
225 TOP = 0.
226 TMIN=11.5528
227 TMIN=TMIN+2.*LOG(TMAS/30.)
228 TMAX=TMAX+2.*LOG(TMAS/30.)
229 IF(T.LE.TMIN) GOTO 160
230 VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN)))
231 TT(1)=1.
232 TT(2)=VT
233 TT(3)=2.*VT**2-1.
234 TT(4)=4.*VT**3-3.*VT
235 TT(5)=8.*VT**4-8.*VT**2+1.
236 TT(6)=16.*VT**5-20.*VT**3+5.*VT
237 XQSUM=0.
238 DO 150 IT=1,6
239 DO 150 IX=1,6
240 150 XQSUM=XQSUM+CEHLQ(IX,IT,NX,8)*TX(IX)*TT(IT)
241 TOP=XQSUM*(1.-X)**NEHLQ(8)*CXS
242 160 CONTINUE
243 ENDIF
244 DTOP = TOP
245C
246 RETURN
247 END