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Commit | Line | Data |
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3820ca8e | 1 | |
2 | C | |
3 | ||
4 | C********************************************************************* | |
5 | ||
6 | C | |
7 | ||
8 | SUBROUTINE SASANO(KF,X,Q2,P2,ALAM,XPGA,VXPGA) | |
9 | ||
10 | C...Purpose: to evaluate the parton distributions of the anomalous | |
11 | ||
12 | C...photon, inhomogeneously evolved from a scale P2 (where it vanishes) | |
13 | ||
14 | C...to Q2. | |
15 | ||
16 | C...KF=0 gives the sum over (up to) 5 flavours, | |
17 | ||
18 | C...KF<0 limits to flavours up to abs(KF), | |
19 | ||
20 | C...KF>0 is for flavour KF only. | |
21 | ||
22 | C...ALAM is the 4-flavour Lambda, which is automatically converted | |
23 | ||
24 | C...to 3- and 5-flavour equivalents as needed. | |
25 | ||
26 | DIMENSION XPGA(-6:6), VXPGA(-6:6), ALAMSQ(3:5) | |
27 | ||
28 | DATA PMC/1.3/, PMB/4.6/, AEM2PI/0.0011614/ | |
29 | ||
30 | C | |
31 | ||
32 | C...Reset output. | |
33 | ||
34 | DO 100 KFL=-6,6 | |
35 | ||
36 | XPGA(KFL)=0. | |
37 | ||
38 | VXPGA(KFL)=0. | |
39 | ||
40 | 100 CONTINUE | |
41 | ||
42 | IF(Q2.LE.P2) RETURN | |
43 | ||
44 | KFA=IABS(KF) | |
45 | ||
46 | C | |
47 | ||
48 | C...Calculate Lambda; protect against unphysical Q2 and P2 input. | |
49 | ||
50 | ALAMSQ(3)=(ALAM*(PMC/ALAM)**(2./27.))**2 | |
51 | ||
52 | ALAMSQ(4)=ALAM**2 | |
53 | ||
54 | ALAMSQ(5)=(ALAM*(ALAM/PMB)**(2./23.))**2 | |
55 | ||
56 | P2EFF=MAX(P2,1.2*ALAMSQ(3)) | |
57 | ||
58 | IF(KF.EQ.4) P2EFF=MAX(P2EFF,PMC**2) | |
59 | ||
60 | IF(KF.EQ.5) P2EFF=MAX(P2EFF,PMB**2) | |
61 | ||
62 | Q2EFF=MAX(Q2,P2EFF) | |
63 | ||
64 | XL=-LOG(X) | |
65 | ||
66 | C | |
67 | ||
68 | C...Find number of flavours at lower and upper scale. | |
69 | ||
70 | NFP=4 | |
71 | ||
72 | IF(P2EFF.LT.PMC**2) NFP=3 | |
73 | ||
74 | IF(P2EFF.GT.PMB**2) NFP=5 | |
75 | ||
76 | NFQ=4 | |
77 | ||
78 | IF(Q2EFF.LT.PMC**2) NFQ=3 | |
79 | ||
80 | IF(Q2EFF.GT.PMB**2) NFQ=5 | |
81 | ||
82 | C | |
83 | ||
84 | C...Define range of flavour loop. | |
85 | ||
86 | IF(KF.EQ.0) THEN | |
87 | ||
88 | KFLMN=1 | |
89 | ||
90 | KFLMX=5 | |
91 | ||
92 | ELSEIF(KF.LT.0) THEN | |
93 | ||
94 | KFLMN=1 | |
95 | ||
96 | KFLMX=KFA | |
97 | ||
98 | ELSE | |
99 | ||
100 | KFLMN=KFA | |
101 | ||
102 | KFLMX=KFA | |
103 | ||
104 | ENDIF | |
105 | ||
106 | C | |
107 | ||
108 | C...Loop over flavours the photon can branch into. | |
109 | ||
110 | DO 110 KFL=KFLMN,KFLMX | |
111 | ||
112 | C | |
113 | ||
114 | C...Light flavours: calculate t range and (approximate) s range. | |
115 | ||
116 | IF(KFL.LE.3.AND.(KFL.EQ.1.OR.KFL.EQ.KF)) THEN | |
117 | ||
118 | TDIFF=LOG(Q2EFF/P2EFF) | |
119 | ||
120 | S=(6./(33.-2.*NFQ))*LOG(LOG(Q2EFF/ALAMSQ(NFQ))/ | |
121 | ||
122 | & LOG(P2EFF/ALAMSQ(NFQ))) | |
123 | ||
124 | IF(NFQ.GT.NFP) THEN | |
125 | ||
126 | Q2DIV=PMB**2 | |
127 | ||
128 | IF(NFQ.EQ.4) Q2DIV=PMC**2 | |
129 | ||
130 | SNFQ=(6./(33.-2.*NFQ))*LOG(LOG(Q2DIV/ALAMSQ(NFQ))/ | |
131 | ||
132 | & LOG(P2EFF/ALAMSQ(NFQ))) | |
133 | ||
134 | SNFP=(6./(33.-2.*(NFQ-1)))*LOG(LOG(Q2DIV/ALAMSQ(NFQ-1))/ | |
135 | ||
136 | & LOG(P2EFF/ALAMSQ(NFQ-1))) | |
137 | ||
138 | S=S+(LOG(Q2DIV/P2EFF)/LOG(Q2EFF/P2EFF))*(SNFP-SNFQ) | |
139 | ||
140 | ENDIF | |
141 | ||
142 | IF(NFQ.EQ.5.AND.NFP.EQ.3) THEN | |
143 | ||
144 | Q2DIV=PMC**2 | |
145 | ||
146 | SNF4=(6./(33.-2.*4))*LOG(LOG(Q2DIV/ALAMSQ(4))/ | |
147 | ||
148 | & LOG(P2EFF/ALAMSQ(4))) | |
149 | ||
150 | SNF3=(6./(33.-2.*3))*LOG(LOG(Q2DIV/ALAMSQ(3))/ | |
151 | ||
152 | & LOG(P2EFF/ALAMSQ(3))) | |
153 | ||
154 | S=S+(LOG(Q2DIV/P2EFF)/LOG(Q2EFF/P2EFF))*(SNF3-SNF4) | |
155 | ||
156 | ENDIF | |
157 | ||
158 | C | |
159 | ||
160 | C...u and s quark do not need a separate treatment when d has been done. | |
161 | ||
162 | ELSEIF(KFL.EQ.2.OR.KFL.EQ.3) THEN | |
163 | ||
164 | C | |
165 | ||
166 | C...Charm: as above, but only include range above c threshold. | |
167 | ||
168 | ELSEIF(KFL.EQ.4) THEN | |
169 | ||
170 | IF(Q2.LE.PMC**2) GOTO 110 | |
171 | ||
172 | P2EFF=MAX(P2EFF,PMC**2) | |
173 | ||
174 | Q2EFF=MAX(Q2EFF,P2EFF) | |
175 | ||
176 | TDIFF=LOG(Q2EFF/P2EFF) | |
177 | ||
178 | S=(6./(33.-2.*NFQ))*LOG(LOG(Q2EFF/ALAMSQ(NFQ))/ | |
179 | ||
180 | & LOG(P2EFF/ALAMSQ(NFQ))) | |
181 | ||
182 | IF(NFQ.EQ.5.AND.NFP.EQ.4) THEN | |
183 | ||
184 | Q2DIV=PMB**2 | |
185 | ||
186 | SNFQ=(6./(33.-2.*NFQ))*LOG(LOG(Q2DIV/ALAMSQ(NFQ))/ | |
187 | ||
188 | & LOG(P2EFF/ALAMSQ(NFQ))) | |
189 | ||
190 | SNFP=(6./(33.-2.*(NFQ-1)))*LOG(LOG(Q2DIV/ALAMSQ(NFQ-1))/ | |
191 | ||
192 | & LOG(P2EFF/ALAMSQ(NFQ-1))) | |
193 | ||
194 | S=S+(LOG(Q2DIV/P2EFF)/LOG(Q2EFF/P2EFF))*(SNFP-SNFQ) | |
195 | ||
196 | ENDIF | |
197 | ||
198 | C | |
199 | ||
200 | C...Bottom: as above, but only include range above b threshold. | |
201 | ||
202 | ELSEIF(KFL.EQ.5) THEN | |
203 | ||
204 | IF(Q2.LE.PMB**2) GOTO 110 | |
205 | ||
206 | P2EFF=MAX(P2EFF,PMB**2) | |
207 | ||
208 | Q2EFF=MAX(Q2,P2EFF) | |
209 | ||
210 | TDIFF=LOG(Q2EFF/P2EFF) | |
211 | ||
212 | S=(6./(33.-2.*NFQ))*LOG(LOG(Q2EFF/ALAMSQ(NFQ))/ | |
213 | ||
214 | & LOG(P2EFF/ALAMSQ(NFQ))) | |
215 | ||
216 | ENDIF | |
217 | ||
218 | C | |
219 | ||
220 | C...Evaluate flavour-dependent prefactor (charge^2 etc.). | |
221 | ||
222 | CHSQ=1./9. | |
223 | ||
224 | IF(KFL.EQ.2.OR.KFL.EQ.4) CHSQ=4./9. | |
225 | ||
226 | FAC=AEM2PI*2.*CHSQ*TDIFF | |
227 | ||
228 | C | |
229 | ||
230 | C...Evaluate parton distributions (normalized to unit momentum sum). | |
231 | ||
232 | IF(KFL.EQ.1.OR.KFL.EQ.4.OR.KFL.EQ.5.OR.KFL.EQ.KF) THEN | |
233 | ||
234 | XVAL= ((1.5+2.49*S+26.9*S**2)/(1.+32.3*S**2)*X**2 + | |
235 | ||
236 | & (1.5-0.49*S+7.83*S**2)/(1.+7.68*S**2)*(1.-X)**2 + | |
237 | ||
238 | & 1.5*S/(1.-3.2*S+7.*S**2)*X*(1.-X)) * | |
239 | ||
240 | & X**(1./(1.+0.58*S)) * (1.-X**2)**(2.5*S/(1.+10.*S)) | |
241 | ||
242 | XGLU= 2.*S/(1.+4.*S+7.*S**2) * | |
243 | ||
244 | & X**(-1.67*S/(1.+2.*S)) * (1.-X**2)**(1.2*S) * | |
245 | ||
246 | & ((4.*X**2+7.*X+4.)*(1.-X)/3. - 2.*X*(1.+X)*XL) | |
247 | ||
248 | XSEA= 0.333*S**2/(1.+4.90*S+4.69*S**2+21.4*S**3) * | |
249 | ||
250 | & X**(-1.18*S/(1.+1.22*S)) * (1.-X)**(1.2*S) * | |
251 | ||
252 | & ((8.-73.*X+62.*X**2)*(1.-X)/9. + (3.-8.*X**2/3.)*X*XL + | |
253 | ||
254 | & (2.*X-1.)*X*XL**2) | |
255 | ||
256 | C | |
257 | ||
258 | C...Threshold factors for c and b sea. | |
259 | ||
260 | SLL=LOG(LOG(Q2EFF/ALAM**2)/LOG(P2EFF/ALAM**2)) | |
261 | ||
262 | XCHM=0. | |
263 | ||
264 | IF(Q2.GT.PMC**2.AND.Q2.GT.1.001*P2EFF) THEN | |
265 | ||
266 | SCH=MAX(0.,LOG(LOG(PMC**2/ALAM**2)/LOG(P2EFF/ALAM**2))) | |
267 | ||
268 | XCHM=XSEA*(1.-(SCH/SLL)**3) | |
269 | ||
270 | ENDIF | |
271 | ||
272 | XBOT=0. | |
273 | ||
274 | IF(Q2.GT.PMB**2.AND.Q2.GT.1.001*P2EFF) THEN | |
275 | ||
276 | SBT=MAX(0.,LOG(LOG(PMB**2/ALAM**2)/LOG(P2EFF/ALAM**2))) | |
277 | ||
278 | XBOT=XSEA*(1.-(SBT/SLL)**3) | |
279 | ||
280 | ENDIF | |
281 | ||
282 | ENDIF | |
283 | ||
284 | C | |
285 | ||
286 | C...Add contribution of each valence flavour. | |
287 | ||
288 | XPGA(0)=XPGA(0)+FAC*XGLU | |
289 | ||
290 | XPGA(1)=XPGA(1)+FAC*XSEA | |
291 | ||
292 | XPGA(2)=XPGA(2)+FAC*XSEA | |
293 | ||
294 | XPGA(3)=XPGA(3)+FAC*XSEA | |
295 | ||
296 | XPGA(4)=XPGA(4)+FAC*XCHM | |
297 | ||
298 | XPGA(5)=XPGA(5)+FAC*XBOT | |
299 | ||
300 | XPGA(KFL)=XPGA(KFL)+FAC*XVAL | |
301 | ||
302 | VXPGA(KFL)=VXPGA(KFL)+FAC*XVAL | |
303 | ||
304 | 110 CONTINUE | |
305 | ||
306 | DO 120 KFL=1,5 | |
307 | ||
308 | XPGA(-KFL)=XPGA(KFL) | |
309 | ||
310 | VXPGA(-KFL)=VXPGA(KFL) | |
311 | ||
312 | 120 CONTINUE | |
313 | ||
314 | C | |
315 | ||
316 | RETURN | |
317 | ||
318 | END |