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3820ca8e | 1 | |
2 | CDECK ID>, STRUCTM. | |
3 | ||
4 | *CMZ :S E26/04/91 11.11.54 by Bryan Webber | |
5 | ||
6 | *-- Author : Bryan Webber | |
7 | ||
8 | C----------------------------------------------------------------------- | |
9 | ||
10 | C SUBROUTINE STRUCTM(X,QSCA,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU) | |
11 | ||
12 | C----------------------------------------------------------------------- | |
13 | ||
14 | C DUMMY SUBROUTINE: DELETE IF YOU USE PDFLIB CERN-LIBRARY | |
15 | ||
16 | C PACKAGE FOR NUCLEON STRUCTURE FUNCTIONS | |
17 | ||
18 | C----------------------------------------------------------------------- | |
19 | ||
20 | C DOUBLE PRECISION X,QSCA,UPV,DNV,USEA,DSEA,STR,CHM,BOT,TOP,GLU | |
21 | ||
22 | C WRITE (6,10) | |
23 | ||
24 | C 10 FORMAT(/10X,'STRUCTM CALLED BUT NOT LINKED') | |
25 | ||
26 | C STOP | |
27 | ||
28 | C END | |
29 | ||
30 | C----------------------------------------------------------------------- | |
31 | ||
32 | C...SaSgam version 2 - parton distributions of the photon | |
33 | ||
34 | C...by Gerhard A. Schuler and Torbjorn Sjostrand | |
35 | ||
36 | C...For further information see Z. Phys. C68 (1995) 607 | |
37 | ||
38 | C...and CERN-TH/96-04 and LU TP 96-2. | |
39 | ||
40 | C...Program last changed on 18 January 1996. | |
41 | ||
42 | C | |
43 | ||
44 | C!!!Note that one further call parameter - IP2 - has been added | |
45 | ||
46 | C!!!to the SASGAM argument list compared with version 1. | |
47 | ||
48 | C | |
49 | ||
50 | C...The user should only need to call the SASGAM routine, | |
51 | ||
52 | C...which in turn calls the auxiliary routines SASVMD, SASANO, | |
53 | ||
54 | C...SASBEH and SASDIR. The package is self-contained. | |
55 | ||
56 | C | |
57 | ||
58 | C...One particular aspect of these parametrizations is that F2 for | |
59 | ||
60 | C...the photon is not obtained just as the charge-squared-weighted | |
61 | ||
62 | C...sum of quark distributions, but differ in the treatment of | |
63 | ||
64 | C...heavy flavours (in F2 the DIS relation W2 = Q2*(1-x)/x restricts | |
65 | ||
66 | C...the kinematics range of heavy-flavour production, but the same | |
67 | ||
68 | C...kinematics is not relevant e.g. for jet production) and, for the | |
69 | ||
70 | C...'MSbar' fits, in the addition of a Cgamma term related to the | |
71 | ||
72 | C...separation of direct processes. Schematically: | |
73 | ||
74 | C...PDF = VMD (rho, omega, phi) + anomalous (d, u, s, c, b). | |
75 | ||
76 | C...F2 = VMD (rho, omega, phi) + anomalous (d, u, s) + | |
77 | ||
78 | C... Bethe-Heitler (c, b) (+ Cgamma (d, u, s)). | |
79 | ||
80 | C...The J/psi and Upsilon states have not been included in the VMD sum, | |
81 | ||
82 | C...but low c and b masses in the other components should compensate | |
83 | ||
84 | C...for this in a duality sense. | |
85 | ||
86 | C | |
87 | ||
88 | C...The calling sequence is the following: | |
89 | ||
90 | C CALL SASGAM(ISET,X,Q2,P2,IP2,F2GM,XPDFGM) | |
91 | ||
92 | C...with the following declaration statement: | |
93 | ||
94 | C DIMENSION XPDFGM(-6:6) | |
95 | ||
96 | C...and, optionally, further information in: | |
97 | ||
98 | C COMMON/SASCOM/XPVMD(-6:6),XPANL(-6:6),XPANH(-6:6),XPBEH(-6:6), | |
99 | ||
100 | C &XPDIR(-6:6) | |
101 | ||
102 | C COMMON/SASVAL/VXPVMD(-6:6),VXPANL(-6:6),VXPANH(-6:6),VXPDGM(-6:6) | |
103 | ||
104 | C...Input: ISET = 1 : SaS set 1D ('DIS', Q0 = 0.6 GeV) | |
105 | ||
106 | C = 2 : SaS set 1M ('MSbar', Q0 = 0.6 GeV) | |
107 | ||
108 | C = 3 : SaS set 2D ('DIS', Q0 = 2 GeV) | |
109 | ||
110 | C = 4 : SaS set 2M ('MSbar', Q0 = 2 GeV) | |
111 | ||
112 | C X : x value. | |
113 | ||
114 | C Q2 : Q2 value. | |
115 | ||
116 | C P2 : P2 value; should be = 0. for an on-shell photon. | |
117 | ||
118 | C IP2 : scheme used to evaluate off-shell anomalous component. | |
119 | ||
120 | C = 0 : recommended default, see = 7. | |
121 | ||
122 | C = 1 : dipole dampening by integration; very time-consuming. | |
123 | ||
124 | C = 2 : P_0^2 = max( Q_0^2, P^2 ) | |
125 | ||
126 | C = 3 : P'_0^2 = Q_0^2 + P^2. | |
127 | ||
128 | C = 4 : P_{eff} that preserves momentum sum. | |
129 | ||
130 | C = 5 : P_{int} that preserves momentum and average | |
131 | ||
132 | C evolution range. | |
133 | ||
134 | C = 6 : P_{eff}, matched to P_0 in P2 -> Q2 limit. | |
135 | ||
136 | C = 7 : P_{eff}, matched to P_0 in P2 -> Q2 limit. | |
137 | ||
138 | C...Output: F2GM : F2 value of the photon (including factors of alpha_em). | |
139 | ||
140 | C XPFDGM : x times parton distribution functions of the photon, | |
141 | ||
142 | C with elements 0 = g, 1 = d, 2 = u, 3 = s, 4 = c, 5 = b, | |
143 | ||
144 | C 6 = t (always empty!), - for antiquarks (result is same). | |
145 | ||
146 | C...The breakdown by component is stored in the commonblock SASCOM, | |
147 | ||
148 | C with elements as above. | |
149 | ||
150 | C XPVMD : rho, omega, phi VMD part only of output. | |
151 | ||
152 | C XPANL : d, u, s anomalous part only of output. | |
153 | ||
154 | C XPANH : c, b anomalous part only of output. | |
155 | ||
156 | C XPBEH : c, b Bethe-Heitler part only of output. | |
157 | ||
158 | C XPDIR : Cgamma (direct contribution) part only of output. | |
159 | ||
160 | C...The above arrays do not distinguish valence and sea contributions, | |
161 | ||
162 | C...although this information is available internally. The additional | |
163 | ||
164 | C...commonblock SASVAL provides the valence part only of the above | |
165 | ||
166 | C...distributions. Array names VXPVMD, VXPANL and VXPANH correspond | |
167 | ||
168 | C...to XPVMD, XPANL and XPANH, while XPBEH and XPDIR are valence only | |
169 | ||
170 | C...and therefore not given doubly. VXPDGM gives the sum of valence | |
171 | ||
172 | C...parts, and so matches XPDFGM. The difference, i.e. XPVMD-VXPVMD | |
173 | ||
174 | C...and so on, gives the sea part only. | |
175 | ||
176 | C | |
177 | ||
178 | SUBROUTINE SASGAM(ISET,X,Q2,P2,IP2,F2GM,XPDFGM) | |
179 | ||
180 | C...Purpose: to construct the F2 and parton distributions of the photon | |
181 | ||
182 | C...by summing homogeneous (VMD) and inhomogeneous (anomalous) terms. | |
183 | ||
184 | C...For F2, c and b are included by the Bethe-Heitler formula; | |
185 | ||
186 | C...in the 'MSbar' scheme additionally a Cgamma term is added. | |
187 | ||
188 | DIMENSION XPDFGM(-6:6) | |
189 | ||
190 | COMMON/SASCOM/XPVMD(-6:6),XPANL(-6:6),XPANH(-6:6),XPBEH(-6:6), | |
191 | ||
192 | &XPDIR(-6:6) | |
193 | ||
194 | COMMON/SASVAL/VXPVMD(-6:6),VXPANL(-6:6),VXPANH(-6:6),VXPDGM(-6:6) | |
195 | ||
196 | SAVE /SASCOM/,/SASVAL/ | |
197 | ||
198 | C | |
199 | ||
200 | C...Temporary array. | |
201 | ||
202 | DIMENSION XPGA(-6:6), VXPGA(-6:6) | |
203 | ||
204 | C...Charm and bottom masses (low to compensate for J/psi etc.). | |
205 | ||
206 | DATA PMC/1.3/, PMB/4.6/ | |
207 | ||
208 | C...alpha_em and alpha_em/(2*pi). | |
209 | ||
210 | DATA AEM/0.007297/, AEM2PI/0.0011614/ | |
211 | ||
212 | C...Lambda value for 4 flavours. | |
213 | ||
214 | DATA ALAM/0.20/ | |
215 | ||
216 | C...Mixture u/(u+d), = 0.5 for incoherent and = 0.8 for coherent sum. | |
217 | ||
218 | DATA FRACU/0.8/ | |
219 | ||
220 | C...VMD couplings f_V**2/(4*pi). | |
221 | ||
222 | DATA FRHO/2.20/, FOMEGA/23.6/, FPHI/18.4/ | |
223 | ||
224 | C...Masses for rho (=omega) and phi. | |
225 | ||
226 | DATA PMRHO/0.770/, PMPHI/1.020/ | |
227 | ||
228 | C...Number of points in integration for IP2=1. | |
229 | ||
230 | DATA NSTEP/100/ | |
231 | ||
232 | C | |
233 | ||
234 | C...Reset output. | |
235 | ||
236 | F2GM=0. | |
237 | ||
238 | DO 100 KFL=-6,6 | |
239 | ||
240 | XPDFGM(KFL)=0. | |
241 | ||
242 | XPVMD(KFL)=0. | |
243 | ||
244 | XPANL(KFL)=0. | |
245 | ||
246 | XPANH(KFL)=0. | |
247 | ||
248 | XPBEH(KFL)=0. | |
249 | ||
250 | XPDIR(KFL)=0. | |
251 | ||
252 | VXPVMD(KFL)=0. | |
253 | ||
254 | VXPANL(KFL)=0. | |
255 | ||
256 | VXPANH(KFL)=0. | |
257 | ||
258 | VXPDGM(KFL)=0. | |
259 | ||
260 | 100 CONTINUE | |
261 | ||
262 | C | |
263 | ||
264 | C...Check that input sensible. | |
265 | ||
266 | IF(ISET.LE.0.OR.ISET.GE.5) THEN | |
267 | ||
268 | WRITE(*,*) ' FATAL ERROR: SaSgam called for unknown set' | |
269 | ||
270 | WRITE(*,*) ' ISET = ',ISET | |
271 | ||
272 | STOP | |
273 | ||
274 | ENDIF | |
275 | ||
276 | IF(X.LE.0..OR.X.GT.1.) THEN | |
277 | ||
278 | WRITE(*,*) ' FATAL ERROR: SaSgam called for unphysical x' | |
279 | ||
280 | WRITE(*,*) ' X = ',X | |
281 | ||
282 | STOP | |
283 | ||
284 | ENDIF | |
285 | ||
286 | C | |
287 | ||
288 | C...Set Q0 cut-off parameter as function of set used. | |
289 | ||
290 | IF(ISET.LE.2) THEN | |
291 | ||
292 | Q0=0.6 | |
293 | ||
294 | ELSE | |
295 | ||
296 | Q0=2. | |
297 | ||
298 | ENDIF | |
299 | ||
300 | Q02=Q0**2 | |
301 | ||
302 | C | |
303 | ||
304 | C...Scale choice for off-shell photon; common factors. | |
305 | ||
306 | Q2A=Q2 | |
307 | ||
308 | FACNOR=1. | |
309 | ||
310 | IF(IP2.EQ.1) THEN | |
311 | ||
312 | P2MX=P2+Q02 | |
313 | ||
314 | Q2A=Q2+P2*Q02/MAX(Q02,Q2) | |
315 | ||
316 | FACNOR=LOG(Q2/Q02)/NSTEP | |
317 | ||
318 | ELSEIF(IP2.EQ.2) THEN | |
319 | ||
320 | P2MX=MAX(P2,Q02) | |
321 | ||
322 | ELSEIF(IP2.EQ.3) THEN | |
323 | ||
324 | P2MX=P2+Q02 | |
325 | ||
326 | Q2A=Q2+P2*Q02/MAX(Q02,Q2) | |
327 | ||
328 | ELSEIF(IP2.EQ.4) THEN | |
329 | ||
330 | P2MX=Q2*(Q02+P2)/(Q2+P2)*EXP(P2*(Q2-Q02)/ | |
331 | ||
332 | & ((Q2+P2)*(Q02+P2))) | |
333 | ||
334 | ELSEIF(IP2.EQ.5) THEN | |
335 | ||
336 | P2MXA=Q2*(Q02+P2)/(Q2+P2)*EXP(P2*(Q2-Q02)/ | |
337 | ||
338 | & ((Q2+P2)*(Q02+P2))) | |
339 | ||
340 | P2MX=Q0*SQRT(P2MXA) | |
341 | ||
342 | FACNOR=LOG(Q2/P2MXA)/LOG(Q2/P2MX) | |
343 | ||
344 | ELSEIF(IP2.EQ.6) THEN | |
345 | ||
346 | P2MX=Q2*(Q02+P2)/(Q2+P2)*EXP(P2*(Q2-Q02)/ | |
347 | ||
348 | & ((Q2+P2)*(Q02+P2))) | |
349 | ||
350 | P2MX=MAX(0.,1.-P2/Q2)*P2MX+MIN(1.,P2/Q2)*MAX(P2,Q02) | |
351 | ||
352 | ELSE | |
353 | ||
354 | P2MXA=Q2*(Q02+P2)/(Q2+P2)*EXP(P2*(Q2-Q02)/ | |
355 | ||
356 | & ((Q2+P2)*(Q02+P2))) | |
357 | ||
358 | P2MX=Q0*SQRT(P2MXA) | |
359 | ||
360 | P2MXB=P2MX | |
361 | ||
362 | P2MX=MAX(0.,1.-P2/Q2)*P2MX+MIN(1.,P2/Q2)*MAX(P2,Q02) | |
363 | ||
364 | P2MXB=MAX(0.,1.-P2/Q2)*P2MXB+MIN(1.,P2/Q2)*P2MXA | |
365 | ||
366 | FACNOR=LOG(Q2/P2MXA)/LOG(Q2/P2MXB) | |
367 | ||
368 | ENDIF | |
369 | ||
370 | C | |
371 | ||
372 | C...Call VMD parametrization for d quark and use to give rho, omega, | |
373 | ||
374 | C...phi. Note dipole dampening for off-shell photon. | |
375 | ||
376 | CALL SASVMD(ISET,1,X,Q2A,P2MX,ALAM,XPGA,VXPGA) | |
377 | ||
378 | XFVAL=VXPGA(1) | |
379 | ||
380 | XPGA(1)=XPGA(2) | |
381 | ||
382 | XPGA(-1)=XPGA(-2) | |
383 | ||
384 | FACUD=AEM*(1./FRHO+1./FOMEGA)*(PMRHO**2/(PMRHO**2+P2))**2 | |
385 | ||
386 | FACS=AEM*(1./FPHI)*(PMPHI**2/(PMPHI**2+P2))**2 | |
387 | ||
388 | DO 110 KFL=-5,5 | |
389 | ||
390 | XPVMD(KFL)=(FACUD+FACS)*XPGA(KFL) | |
391 | ||
392 | 110 CONTINUE | |
393 | ||
394 | XPVMD(1)=XPVMD(1)+(1.-FRACU)*FACUD*XFVAL | |
395 | ||
396 | XPVMD(2)=XPVMD(2)+FRACU*FACUD*XFVAL | |
397 | ||
398 | XPVMD(3)=XPVMD(3)+FACS*XFVAL | |
399 | ||
400 | XPVMD(-1)=XPVMD(-1)+(1.-FRACU)*FACUD*XFVAL | |
401 | ||
402 | XPVMD(-2)=XPVMD(-2)+FRACU*FACUD*XFVAL | |
403 | ||
404 | XPVMD(-3)=XPVMD(-3)+FACS*XFVAL | |
405 | ||
406 | VXPVMD(1)=(1.-FRACU)*FACUD*XFVAL | |
407 | ||
408 | VXPVMD(2)=FRACU*FACUD*XFVAL | |
409 | ||
410 | VXPVMD(3)=FACS*XFVAL | |
411 | ||
412 | VXPVMD(-1)=(1.-FRACU)*FACUD*XFVAL | |
413 | ||
414 | VXPVMD(-2)=FRACU*FACUD*XFVAL | |
415 | ||
416 | VXPVMD(-3)=FACS*XFVAL | |
417 | ||
418 | C | |
419 | ||
420 | IF(IP2.NE.1) THEN | |
421 | ||
422 | C...Anomalous parametrizations for different strategies | |
423 | ||
424 | C...for off-shell photons; except full integration. | |
425 | ||
426 | C | |
427 | ||
428 | C...Call anomalous parametrization for d + u + s. | |
429 | ||
430 | CALL SASANO(-3,X,Q2A,P2MX,ALAM,XPGA,VXPGA) | |
431 | ||
432 | DO 120 KFL=-5,5 | |
433 | ||
434 | XPANL(KFL)=FACNOR*XPGA(KFL) | |
435 | ||
436 | VXPANL(KFL)=FACNOR*VXPGA(KFL) | |
437 | ||
438 | 120 CONTINUE | |
439 | ||
440 | C | |
441 | ||
442 | C...Call anomalous parametrization for c and b. | |
443 | ||
444 | CALL SASANO(4,X,Q2A,P2MX,ALAM,XPGA,VXPGA) | |
445 | ||
446 | DO 130 KFL=-5,5 | |
447 | ||
448 | XPANH(KFL)=FACNOR*XPGA(KFL) | |
449 | ||
450 | VXPANH(KFL)=FACNOR*VXPGA(KFL) | |
451 | ||
452 | 130 CONTINUE | |
453 | ||
454 | CALL SASANO(5,X,Q2A,P2MX,ALAM,XPGA,VXPGA) | |
455 | ||
456 | DO 140 KFL=-5,5 | |
457 | ||
458 | XPANH(KFL)=XPANH(KFL)+FACNOR*XPGA(KFL) | |
459 | ||
460 | VXPANH(KFL)=VXPANH(KFL)+FACNOR*VXPGA(KFL) | |
461 | ||
462 | 140 CONTINUE | |
463 | ||
464 | C | |
465 | ||
466 | ELSE | |
467 | ||
468 | C...Special option: loop over flavours and integrate over k2. | |
469 | ||
470 | DO 170 KF=1,5 | |
471 | ||
472 | DO 160 ISTEP=1,NSTEP | |
473 | ||
474 | Q2STEP=Q02*(Q2/Q02)**((ISTEP-0.5)/NSTEP) | |
475 | ||
476 | IF((KF.EQ.4.AND.Q2STEP.LT.PMC**2).OR. | |
477 | ||
478 | & (KF.EQ.5.AND.Q2STEP.LT.PMB**2)) GOTO 160 | |
479 | ||
480 | CALL SASVMD(0,KF,X,Q2,Q2STEP,ALAM,XPGA,VXPGA) | |
481 | ||
482 | FACQ=AEM2PI*(Q2STEP/(Q2STEP+P2))**2*FACNOR | |
483 | ||
484 | IF(MOD(KF,2).EQ.0) FACQ=FACQ*(8./9.) | |
485 | ||
486 | IF(MOD(KF,2).EQ.1) FACQ=FACQ*(2./9.) | |
487 | ||
488 | DO 150 KFL=-5,5 | |
489 | ||
490 | IF(KF.LE.3) XPANL(KFL)=XPANL(KFL)+FACQ*XPGA(KFL) | |
491 | ||
492 | IF(KF.GE.4) XPANH(KFL)=XPANH(KFL)+FACQ*XPGA(KFL) | |
493 | ||
494 | IF(KF.LE.3) VXPANL(KFL)=VXPANL(KFL)+FACQ*VXPGA(KFL) | |
495 | ||
496 | IF(KF.GE.4) VXPANH(KFL)=VXPANH(KFL)+FACQ*VXPGA(KFL) | |
497 | ||
498 | 150 CONTINUE | |
499 | ||
500 | 160 CONTINUE | |
501 | ||
502 | 170 CONTINUE | |
503 | ||
504 | ENDIF | |
505 | ||
506 | C | |
507 | ||
508 | C...Call Bethe-Heitler term expression for charm and bottom. | |
509 | ||
510 | CALL SASBEH(4,X,Q2,P2,PMC**2,XPBH) | |
511 | ||
512 | XPBEH(4)=XPBH | |
513 | ||
514 | XPBEH(-4)=XPBH | |
515 | ||
516 | CALL SASBEH(5,X,Q2,P2,PMB**2,XPBH) | |
517 | ||
518 | XPBEH(5)=XPBH | |
519 | ||
520 | XPBEH(-5)=XPBH | |
521 | ||
522 | C | |
523 | ||
524 | C...For MSbar subtraction call C^gamma term expression for d, u, s. | |
525 | ||
526 | IF(ISET.EQ.2.OR.ISET.EQ.4) THEN | |
527 | ||
528 | CALL SASDIR(X,Q2,P2,Q02,XPGA) | |
529 | ||
530 | DO 180 KFL=-5,5 | |
531 | ||
532 | XPDIR(KFL)=XPGA(KFL) | |
533 | ||
534 | 180 CONTINUE | |
535 | ||
536 | ENDIF | |
537 | ||
538 | C | |
539 | ||
540 | C...Store result in output array. | |
541 | ||
542 | DO 190 KFL=-5,5 | |
543 | ||
544 | CHSQ=1./9. | |
545 | ||
546 | IF(IABS(KFL).EQ.2.OR.IABS(KFL).EQ.4) CHSQ=4./9. | |
547 | ||
548 | XPF2=XPVMD(KFL)+XPANL(KFL)+XPBEH(KFL)+XPDIR(KFL) | |
549 | ||
550 | IF(KFL.NE.0) F2GM=F2GM+CHSQ*XPF2 | |
551 | ||
552 | XPDFGM(KFL)=XPVMD(KFL)+XPANL(KFL)+XPANH(KFL) | |
553 | ||
554 | VXPDGM(KFL)=VXPVMD(KFL)+VXPANL(KFL)+VXPANH(KFL) | |
555 | ||
556 | 190 CONTINUE | |
557 | ||
558 | C | |
559 | ||
560 | RETURN | |
561 | ||
562 | END |