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21886bb6 | 1 | #include "pdf/pilot.h" |
2 | C----------------------------------------------------------------------- | |
3 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | |
4 | * * | |
5 | * G R S - LO - VIRTUAL PHOTON PARAMETRIZATIONS * | |
6 | * * | |
7 | * FOR A DETAILED EXPLANATION SEE * | |
8 | * M. GLUECK, E.REYA, M. STRATMANN : * | |
9 | * PHYS. REV. D51 (1995) 3220 * | |
10 | * * | |
11 | * THE PARAMETRIZATIONS ARE FITTED TO THE EVOLVED PARTONS FOR * | |
12 | * Q**2 / GEV**2 BETWEEN 0.6 AND 5.E4 * | |
13 | * AND (!) Q**2 > 5 P**2 * | |
14 | * P**2 / GEV**2 BETWEEN 0.0 AND 10. * | |
15 | * P**2 = 0 <=> REAL PHOTON * | |
16 | * X BETWEEN 1.E-4 AND 1. * | |
17 | * * | |
18 | * HEAVY QUARK THRESHOLDS Q(H) = M(H) IN THE BETA FUNCTION : * | |
19 | * M(C) = 1.5, M(B) = 4.5 * | |
20 | * CORRESPONDING LAMBDA(F) VALUES IN GEV FOR Q**2 > M(H)**2 : * | |
21 | * LO : LAMBDA(3) = 0.232, LAMBDA(4) = 0.200, * | |
22 | * LAMBDA(5) = 0.153, * | |
23 | * THE NUMBER OF ACTIVE QUARK FLAVOURS IS NF = 3 EVERYWHERE * | |
24 | * EXCEPT IN THE BETA FUNCTION, I.E. THE HEAVY QUARKS C,B,... * | |
25 | * ARE NOT PRESENT AS PARTONS IN THE Q2-EVOLUTION. * | |
26 | * * | |
27 | * PLEASE REPORT ANY STRANGE BEHAVIOUR TO : * | |
28 | * STRAT@HAL1.PHYSIK.UNI-DORTMUND.DE * | |
29 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | |
30 | * | |
31 | *...INPUT PARAMETERS : | |
32 | * | |
33 | * X = MOMENTUM FRACTION | |
34 | * Q2 = SCALE Q**2 IN GEV**2 | |
35 | * P2 = VIRTUALITY OF THE PHOTON IN GEV**2 | |
36 | * | |
37 | *...OUTPUT (ALWAYS X TIMES THE DISTRIBUTION DIVIDED BY ALPHA_EM) : | |
38 | *...OUTPUT (ALWAYS X TIMES THE DISTRIBUTION) : modified H.P.-B. 10.9.1996 | |
39 | * | |
40 | ******************************************************** | |
41 | SUBROUTINE GRSGALO(DX,DQ2,DP2, | |
42 | + DUPV,DDNV,DUSEA,DDSEA,DSTR,DCHM,DBOT,DGL) | |
43 | C subroutine grsgalo(x,q2,p2,ugam,dgam,sgam,ggam) | |
44 | #include "pdf/impdp.inc" | |
7ef50f50 | 45 | #if defined(CERNLIB_DOUBLE) |
46 | DOUBLE PRECISION | |
47 | #endif | |
48 | #if defined(CERNLIB_SINGLE) | |
49 | REAL | |
50 | #endif | |
21886bb6 | 51 | + x, q2, p2, mu2, lam2, |
52 | + ugam, dgam, sgam, ggam, | |
53 | + DUPV,DDNV,DUSEA,DDSEA,DSTR,DCHM,DBOT,DGL | |
54 | C | |
55 | dimension u1(40),ds1(40),g1(40) | |
56 | dimension ud2(20),s2(20),g2(20) | |
57 | dimension up0(20),dsp0(20),gp0(20) | |
58 | DATA ALPHEM/7.29927D-3/ | |
59 | c | |
60 | data u1/-0.139d0,0.783d0,0.132d0,0.087d0,0.003d0,-0.0134d0, | |
61 | + 0.009d0,-0.017d0,0.092d0,-0.516d0,-0.085d0,0.439d0, | |
62 | + 0.013d0,0.108d0,-0.019d0,-0.272d0,-0.167d0,0.138d0, | |
63 | + 0.076d0,0.026d0,-0.013d0,0.27d0,0.107d0,-0.097d0,0.04d0, | |
64 | + 0.064d0,0.011d0,0.002d0,0.057d0,-0.057d0,0.162d0, | |
65 | + -0.172d0,0.124d0,-0.016d0,-0.065d0,0.044d0,-1.009d0, | |
66 | + 0.622d0,0.227d0,-0.184d0/ | |
67 | data ds1/0.033d0,0.007d0,-0.0516d0,0.12d0,0.001d0,-0.013d0, | |
68 | + 0.018d0,-0.028d0,0.102d0,-0.595d0,-0.114d0,0.669d0, | |
69 | + 0.022d0,0.001d0,-0.003d0,-0.0583d0,-0.041d0,0.035d0, | |
70 | + 0.009d0,0.009d0,0.004d0,0.054d0,0.025d0,-0.02d0, | |
71 | + 0.007d0,0.021d0,0.01d0,0.004d0,-0.067d0,0.06d0,-0.148d0, | |
72 | + 0.13d0,0.032d0,-0.009d0,-0.06d0,0.036d0,-0.39d0,0.033d0, | |
73 | + 0.245d0,-0.171d0/ | |
74 | data g1/0.025d0,0.d0,-0.018d0,0.112d0,-0.025d0,0.177d0, | |
75 | + -0.022d0,0.024d0,0.001d0,-0.0104d0,0.d0,0.d0,-1.082d0, | |
76 | + -1.666d0,0.d0,0.086d0,0.d0,0.053d0,0.005d0,-0.058d0, | |
77 | + 0.034d0,0.073d0,1.08d0,1.63d0,-0.0256d0,-0.088d0,0.d0, | |
78 | + 0.d0,-0.004d0,0.016d0,0.007d0,-0.012d0,0.01d0,-0.673d0, | |
79 | + 0.126d0,-0.167d0,0.032d0,-0.227d0,0.086d0,-0.159d0/ | |
80 | data ud2/0.756d0,0.187d0,0.109d0,-0.163d0,0.002d0,0.004d0, | |
81 | + 0.054d0,-0.039d0,22.53d0,-21.02d0,5.608d0,0.332d0, | |
82 | + -0.008d0,-0.021d0,0.381d0,0.572d0,4.774d0,1.436d0, | |
83 | + -0.614d0,3.548d0/ | |
84 | data s2/0.902d0,0.182d0,0.271d0,-0.346d0,0.017d0,-0.01d0, | |
85 | + -0.011d0,0.0065d0,17.1d0,-13.29d0,6.519d0,0.031d0, | |
86 | + -0.0176d0,0.003d0,1.243d0,0.804d0,4.709d0,1.499d0, | |
87 | + -0.48d0,3.401d0/ | |
88 | data g2/0.364d0,1.31d0,0.86d0,-0.254d0,0.611d0,0.008d0, | |
89 | + -0.097d0,-2.412d0,-0.843d0,2.248d0,-0.201d0,1.33d0, | |
90 | + 0.572d0,0.44d0,1.233d0,0.009d0,0.954d0,1.862d0,3.791d0, | |
91 | + -0.079d0/ | |
92 | data up0/1.551d0,0.105d0,1.089d0,-0.172d0,3.822d0,-2.162d0, | |
93 | + 0.533d0,-0.467d0,-0.412d0,0.2d0,0.377d0,0.299d0,0.487d0, | |
94 | + 0.0766d0,0.119d0,0.063d0,7.605d0,0.234d0,-0.567d0, | |
95 | + 2.294d0/ | |
96 | data dsp0/2.484d0,1.214d0,1.088d0,-0.1735d0,4.293d0, | |
97 | + -2.802d0,0.5975d0,-0.1193d0,-0.0872d0,0.0418d0,0.128d0, | |
98 | + 0.0337d0,0.127d0,0.0135d0,0.14d0,0.0423d0,6.946d0, | |
99 | + 0.814d0,1.531d0,0.124d0/ | |
100 | data gp0/1.682d0,1.1d0,0.5888d0,-0.4714d0,0.5362d0,0.0127d0, | |
101 | + -2.438d0,0.03399d0,0.07825d0,0.05842d0,0.08393d0,2.348d0, | |
102 | + -0.07182d0,1.084d0,0.3098d0,-0.07514d0,3.327d0,1.1d0, | |
103 | + 2.264d0,0.2675d0/ | |
104 | c | |
105 | save u1,ds1,g1,ud2,s2,g2,up0,dsp0,gp0 | |
106 | c | |
107 | x = DX | |
108 | q = SQRT(DQ2) | |
109 | q2 = DQ2 | |
110 | p2 = DP2 | |
111 | mu2=0.25d0 | |
112 | lam2=0.232d0*0.232d0 | |
113 | c | |
114 | if(p2.le.0.25d0) then | |
115 | s=log(log(q2/lam2)/log(mu2/lam2)) | |
116 | lp1=0.d0 | |
117 | lp2=0.d0 | |
118 | else | |
119 | if(q2.lt.p2) then | |
120 | write(*,1000) | |
121 | 1000 format | |
122 | + (' WARNING: GRSGALO has been called with Q2 < P2 !',/, | |
123 | + ' GRSGALO is about to blow up, therefore',/, | |
124 | + ' Q2 is set equal to P2') | |
125 | q2=p2 | |
126 | endif | |
127 | s=log(log(q2/lam2)/log(p2/lam2)) | |
128 | lp1=log(p2/mu2)*log(p2/mu2) | |
129 | lp2=log(p2/mu2+log(p2/mu2)) | |
130 | endif | |
131 | c | |
132 | alp=up0(1)+lp1*u1(1)+lp2*u1(2) | |
133 | bet=up0(2)+lp1*u1(3)+lp2*u1(4) | |
134 | a=up0(3)+lp1*u1(5)+lp2*u1(6)+ | |
135 | + (up0(4)+lp1*u1(7)+lp2*u1(8))*s | |
136 | b=up0(5)+lp1*u1(9)+lp2*u1(10)+ | |
137 | + (up0(6)+lp1*u1(11)+lp2*u1(12))*s**0.5+ | |
138 | + (up0(7)+lp1*u1(13)+lp2*u1(14))*s**2 | |
139 | gb=up0(8)+lp1*u1(15)+lp2*u1(16)+ | |
140 | + (up0(9)+lp1*u1(17)+lp2*u1(18))*s+ | |
141 | + (up0(10)+lp1*u1(19)+lp2*u1(20))*s**2 | |
142 | ga=up0(11)+lp1*u1(21)+lp2*u1(22)+ | |
143 | + (up0(12)+lp1*u1(23)+lp2*u1(24))*s**0.5 | |
144 | gc=up0(13)+lp1*u1(25)+lp2*u1(33)+ | |
145 | + (up0(14)+lp1*u1(26)+lp2*u1(34))*s | |
146 | gd=up0(15)+lp1*u1(27)+lp2*u1(35)+ | |
147 | + (up0(16)+lp1*u1(28)+lp2*u1(36))*s | |
148 | ge=up0(17)+lp1*u1(29)+lp2*u1(37)+ | |
149 | + (up0(18)+lp1*u1(30)+lp2*u1(38))*s | |
150 | gep=up0(19)+lp1*u1(31)+lp2*u1(39)+ | |
151 | + (up0(20)+lp1*u1(32)+lp2*u1(40))*s | |
152 | upart1=grsf2(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
153 | c | |
154 | alp=dsp0(1)+lp1*ds1(1)+lp2*ds1(2) | |
155 | bet=dsp0(2)+lp1*ds1(3)+lp2*ds1(4) | |
156 | a=dsp0(3)+lp1*ds1(5)+lp2*ds1(6)+ | |
157 | + (dsp0(4)+lp1*ds1(7)+lp2*ds1(8))*s | |
158 | b=dsp0(5)+lp1*ds1(9)+lp2*ds1(10)+ | |
159 | + (dsp0(6)+lp1*ds1(11)+lp2*ds1(12))*s**0.5+ | |
160 | + (dsp0(7)+lp1*ds1(13)+lp2*ds1(14))*s**2 | |
161 | gb=dsp0(8)+lp1*ds1(15)+lp2*ds1(16)+ | |
162 | + (dsp0(9)+lp1*ds1(17)+lp2*ds1(18))*s+ | |
163 | + (dsp0(10)+lp1*ds1(19)+lp2*ds1(20))*s**2 | |
164 | ga=dsp0(11)+lp1*ds1(21)+lp2*ds1(22)+ | |
165 | + (dsp0(12)+lp1*ds1(23)+lp2*ds1(24))*s | |
166 | gc=dsp0(13)+lp1*ds1(25)+lp2*ds1(33)+ | |
167 | + (dsp0(14)+lp1*ds1(26)+lp2*ds1(34))*s | |
168 | gd=dsp0(15)+lp1*ds1(27)+lp2*ds1(35)+ | |
169 | + (dsp0(16)+lp1*ds1(28)+lp2*ds1(36))*s | |
170 | ge=dsp0(17)+lp1*ds1(29)+lp2*ds1(37)+ | |
171 | + (dsp0(18)+lp1*ds1(30)+lp2*ds1(38))*s | |
172 | gep=dsp0(19)+lp1*ds1(31)+lp2*ds1(39)+ | |
173 | + (dsp0(20)+lp1*ds1(32)+lp2*ds1(40))*s | |
174 | dspart1=grsf2(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
175 | c | |
176 | alp=gp0(1)+lp1*g1(1)+lp2*g1(2) | |
177 | bet=gp0(2)+lp1*g1(3)+lp2*g1(4) | |
178 | a=gp0(3)+lp1*g1(5)+lp2*g1(6)+ | |
179 | + (gp0(4)+lp1*g1(7)+lp2*g1(8))*s**0.5 | |
180 | b=gp0(5)+lp1*g1(9)+lp2*g1(10)+ | |
181 | + (gp0(6)+lp1*g1(11)+lp2*g1(12))*s**2 | |
182 | gb=gp0(7)+lp1*g1(13)+lp2*g1(14)+ | |
183 | + (gp0(8)+lp1*g1(15)+lp2*g1(16))*s | |
184 | ga=gp0(9)+lp1*g1(17)+lp2*g1(18)+ | |
185 | + (gp0(10)+lp1*g1(19)+lp2*g1(20))*s**0.5+ | |
186 | + (gp0(11)+lp1*g1(21)+lp2*g1(22))*s**2 | |
187 | gc=gp0(12)+lp1*g1(23)+lp2*g1(24)+ | |
188 | + (gp0(13)+lp1*g1(25)+lp2*g1(26))*s**2 | |
189 | gd=gp0(14)+lp1*g1(27)+lp2*g1(28)+ | |
190 | + (gp0(15)+lp1*g1(29)+lp2*g1(30))*s+ | |
191 | + (gp0(16)+lp1*g1(31)+lp2*g1(32))*s**2 | |
192 | ge=gp0(17)+lp1*g1(33)+lp2*g1(34)+ | |
193 | + (gp0(18)+lp1*g1(35)+lp2*g1(36))*s | |
194 | gep=gp0(19)+lp1*g1(37)+lp2*g1(38)+ | |
195 | + (gp0(20)+lp1*g1(39)+lp2*g1(40))*s | |
196 | gpart1=grsf2(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
197 | c | |
198 | s=log(log(q2/lam2)/log(mu2/lam2)) | |
199 | suppr=1.d0/(1.d0+p2/0.59d0)**2 | |
200 | c | |
201 | alp=ud2(1) | |
202 | bet=ud2(2) | |
203 | a=ud2(3)+ud2(4)*s | |
204 | ga=ud2(5)+ud2(6)*s**0.5 | |
205 | gc=ud2(7)+ud2(8)*s | |
206 | b=ud2(9)+ud2(10)*s+ud2(11)*s**2 | |
207 | gb=ud2(12)+ud2(13)*s+ud2(14)*s**2 | |
208 | gd=ud2(15)+ud2(16)*s | |
209 | ge=ud2(17)+ud2(18)*s | |
210 | gep=ud2(19)+ud2(20)*s | |
211 | udpart2=suppr*grsf1(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
212 | c | |
213 | alp=s2(1) | |
214 | bet=s2(2) | |
215 | a=s2(3)+s2(4)*s | |
216 | ga=s2(5)+s2(6)*s**0.5 | |
217 | gc=s2(7)+s2(8)*s | |
218 | b=s2(9)+s2(10)*s+s2(11)*s**2 | |
219 | gb=s2(12)+s2(13)*s+s2(14)*s**2 | |
220 | gd=s2(15)+s2(16)*s | |
221 | ge=s2(17)+s2(18)*s | |
222 | gep=s2(19)+s2(20)*s | |
223 | spart2=suppr*grsf2(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
224 | c | |
225 | alp=g2(1) | |
226 | bet=g2(2) | |
227 | a=g2(3)+g2(4)*s**0.5 | |
228 | b=g2(5)+g2(6)*s**2 | |
229 | gb=g2(7)+g2(8)*s | |
230 | ga=g2(9)+g2(10)*s**0.5+g2(11)*s**2 | |
231 | gc=g2(12)+g2(13)*s**2 | |
232 | gd=g2(14)+g2(15)*s+g2(16)*s**2 | |
233 | ge=g2(17)+g2(18)*s | |
234 | gep=g2(19)+g2(20)*s | |
235 | gpart2=suppr*grsf1(x,s,alp,bet,a,b,ga,gb,gc,gd,ge,gep) | |
236 | c | |
237 | ugam=upart1+udpart2 | |
238 | DUPV = UGAM * ALPHEM | |
239 | DUSEA = DUPV | |
240 | dgam=dspart1+udpart2 | |
241 | DDNV = DGAM * ALPHEM | |
242 | DDSEA = DDNV | |
243 | sgam=dspart1+spart2 | |
244 | DSTR = SGAM * ALPHEM | |
245 | ggam=gpart1+gpart2 | |
246 | DGL = GGAM * ALPHEM | |
247 | C | |
248 | DCHM = 0.D0 | |
249 | DBOT = 0.D0 | |
250 | c | |
251 | return | |
252 | end |