#include "pdf/pilot.h" SUBROUTINE SASVMD(ISET,KF,X,Q2,P2,ALAM,XPGA,VXPGA) C...Purpose: to evaluate the VMD parton distributions of a photon, C...evolved homogeneously from an initial scale P2 to Q2. C...Does not include dipole suppression factor. C...ISET is parton distribution set, see above; C...additionally ISET=0 is used for the evolution of an anomalous photon C...which branched at a scale P2 and then evolved homogeneously to Q2. C...ALAM is the 4-flavour Lambda, which is automatically converted C...to 3- and 5-flavour equivalents as needed. DIMENSION XPGA(-6:6), VXPGA(-6:6) DATA PMC/1.3/, PMB/4.6/, AEM/0.007297/, AEM2PI/0.0011614/ C...Reset output. DO 100 KFL=-6,6 XPGA(KFL)=0. VXPGA(KFL)=0. 100 CONTINUE KFA=IABS(KF) C...Calculate Lambda; protect against unphysical Q2 and P2 input. ALAM3=ALAM*(PMC/ALAM)**(2./27.) ALAM5=ALAM*(ALAM/PMB)**(2./23.) P2EFF=MAX(P2,1.2*ALAM3**2) IF(KFA.EQ.4) P2EFF=MAX(P2EFF,PMC**2) IF(KFA.EQ.5) P2EFF=MAX(P2EFF,PMB**2) Q2EFF=MAX(Q2,P2EFF) C...Find number of flavours at lower and upper scale. NFP=4 IF(P2EFF.LT.PMC**2) NFP=3 IF(P2EFF.GT.PMB**2) NFP=5 NFQ=4 IF(Q2EFF.LT.PMC**2) NFQ=3 IF(Q2EFF.GT.PMB**2) NFQ=5 C...Find s as sum of 3-, 4- and 5-flavour parts. S=0. IF(NFP.EQ.3) THEN Q2DIV=PMC**2 IF(NFQ.EQ.3) Q2DIV=Q2EFF S=S+(6./27.)*LOG(LOG(Q2DIV/ALAM3**2)/LOG(P2EFF/ALAM3**2)) ENDIF IF(NFP.LE.4.AND.NFQ.GE.4) THEN P2DIV=P2EFF IF(NFP.EQ.3) P2DIV=PMC**2 Q2DIV=Q2EFF IF(NFQ.EQ.5) Q2DIV=PMB**2 S=S+(6./25.)*LOG(LOG(Q2DIV/ALAM**2)/LOG(P2DIV/ALAM**2)) ENDIF IF(NFQ.EQ.5) THEN P2DIV=PMB**2 IF(NFP.EQ.5) P2DIV=P2EFF S=S+(6./23.)*LOG(LOG(Q2EFF/ALAM5**2)/LOG(P2DIV/ALAM5**2)) ENDIF C...Calculate frequent combinations of x and s. X1=1.-X XL=-LOG(X) S2=S**2 S3=S**3 S4=S**4 C...Evaluate homogeneous anomalous parton distributions below or C...above threshold. IF(ISET.EQ.0) THEN IF(Q2.LE.P2.OR.(KFA.EQ.4.AND.Q2.LT.PMC**2).OR. &(KFA.EQ.5.AND.Q2.LT.PMB**2)) THEN XVAL = X * 1.5 * (X**2+X1**2) XGLU = 0. XSEA = 0. ELSE XVAL = (1.5/(1.-0.197*S+4.33*S2)*X**2 + (1.5+2.10*S)/ & (1.+3.29*S)*X1**2 + 5.23*S/(1.+1.17*S+19.9*S3)*X*X1) * & X**(1./(1.+1.5*S)) * (1.-X**2)**(2.667*S) XGLU = 4.*S/(1.+4.76*S+15.2*S2+29.3*S4) * & X**(-2.03*S/(1.+2.44*S)) * (X1*XL)**(1.333*S) * & ((4.*X**2+7.*X+4.)*X1/3. - 2.*X*(1.+X)*XL) XSEA = S2/(1.+4.54*S+8.19*S2+8.05*S3) * & X**(-1.54*S/(1.+1.29*S)) * X1**(2.667*S) * & ((8.-73.*X+62.*X**2)*X1/9. + (3.-8.*X**2/3.)*X*XL + & (2.*X-1.)*X*XL**2) ENDIF C...Evaluate set 1D parton distributions below or above threshold. ELSEIF(ISET.EQ.1) THEN IF(Q2.LE.P2.OR.(KFA.EQ.4.AND.Q2.LT.PMC**2).OR. &(KFA.EQ.5.AND.Q2.LT.PMB**2)) THEN XVAL = 1.294 * X**0.80 * X1**0.76 XGLU = 1.273 * X**0.40 * X1**1.76 XSEA = 0.100 * X1**3.76 ELSE XVAL = 1.294/(1.+0.252*S+3.079*S2) * X**(0.80-0.13*S) * & X1**(0.76+0.667*S) * XL**(2.*S) XGLU = 7.90*S/(1.+5.50*S) * EXP(-5.16*S) * & X**(-1.90*S/(1.+3.60*S)) * X1**1.30 * XL**(0.50+3.*S) + & 1.273 * EXP(-10.*S) * X**0.40 * X1**(1.76+3.*S) XSEA = (0.1-0.397*S2+1.121*S3)/(1.+5.61*S2+5.26*S3) * & X**(-7.32*S2/(1.+10.3*S2)) * & X1**((3.76+15.*S+12.*S2)/(1.+4.*S)) XSEA0 = 0.100 * X1**3.76 ENDIF C...Evaluate set 1M parton distributions below or above threshold. ELSEIF(ISET.EQ.2) THEN IF(Q2.LE.P2.OR.(KFA.EQ.4.AND.Q2.LT.PMC**2).OR. &(KFA.EQ.5.AND.Q2.LT.PMB**2)) THEN XVAL = 0.8477 * X**0.51 * X1**1.37 XGLU = 3.42 * X**0.255 * X1**2.37 XSEA = 0. ELSE XVAL = 0.8477/(1.+1.37*S+2.18*S2+3.73*S3) * X**(0.51+0.21*S) & * X1**1.37 * XL**(2.667*S) XGLU = 24.*S/(1.+9.6*S+0.92*S2+14.34*S3) * EXP(-5.94*S) * & X**((-0.013-1.80*S)/(1.+3.14*S)) * X1**(2.37+0.4*S) * & XL**(0.32+3.6*S) + 3.42 * EXP(-12.*S) * X**0.255 * & X1**(2.37+3.*S) XSEA = 0.842*S/(1.+21.3*S-33.2*S2+229.*S3) * & X**((0.13-2.90*S)/(1.+5.44*S)) * X1**(3.45+0.5*S) * & XL**(2.8*S) XSEA0 = 0. ENDIF C...Evaluate set 2D parton distributions below or above threshold. ELSEIF(ISET.EQ.3) THEN IF(Q2.LE.P2.OR.(KFA.EQ.4.AND.Q2.LT.PMC**2).OR. &(KFA.EQ.5.AND.Q2.LT.PMB**2)) THEN XVAL = X**0.46 * X1**0.64 + 0.76 * X XGLU = 1.925 * X1**2 XSEA = 0.242 * X1**4 ELSE XVAL = (1.+0.186*S)/(1.-0.209*S+1.495*S2) * X**(0.46+0.25*S) & * X1**((0.64+0.14*S+5.*S2)/(1.+S)) * XL**(1.9*S) + & (0.76+0.4*S) * X * X1**(2.667*S) XGLU = (1.925+5.55*S+147.*S2)/(1.-3.59*S+3.32*S2) * & EXP(-18.67*S) * X**((-5.81*S-5.34*S2)/(1.+29.*S-4.26*S2)) & * X1**((2.-5.9*S)/(1.+1.7*S)) * XL**(9.3*S/(1.+1.7*S)) XSEA = (0.242-0.252*S+1.19*S2)/(1.-0.607*S+21.95*S2) * & X**(-12.1*S2/(1.+2.62*S+16.7*S2)) * X1**4 * XL**S XSEA0 = 0.242 * X1**4 ENDIF C...Evaluate set 2M parton distributions below or above threshold. ELSEIF(ISET.EQ.4) THEN IF(Q2.LE.P2.OR.(KFA.EQ.4.AND.Q2.LT.PMC**2).OR. &(KFA.EQ.5.AND.Q2.LT.PMB**2)) THEN XVAL = 1.168 * X**0.50 * X1**2.60 + 0.965 * X XGLU = 1.808 * X1**2 XSEA = 0.209 * X1**4 ELSE XVAL = (1.168+1.771*S+29.35*S2) * EXP(-5.776*S) * & X**((0.5+0.208*S)/(1.-0.794*S+1.516*S2)) * & X1**((2.6+7.6*S)/(1.+5.*S)) * XL**(5.15*S/(1.+2.*S)) + & (0.965+22.35*S)/(1.+18.4*S) * X * X1**(2.667*S) XGLU = (1.808+29.9*S)/(1.+26.4*S) * EXP(-5.28*S) * & X**((-5.35*S-10.11*S2)/(1.+31.71*S)) * & X1**((2.-7.3*S+4.*S2)/(1.+2.5*S)) * & XL**(10.9*S/(1.+2.5*S)) XSEA = (0.209+0.644*S2)/(1.+0.319*S+17.6*S2) * & X**((-0.373*S-7.71*S2)/(1.+0.815*S+11.0*S2)) * & X1**(4.+S) * XL**(0.45*S) XSEA0 = 0.209 * X1**4 ENDIF ENDIF C...Threshold factors for c and b sea. SLL=LOG(LOG(Q2EFF/ALAM**2)/LOG(P2EFF/ALAM**2)) XCHM=0. IF(Q2.GT.PMC**2.AND.Q2.GT.1.001*P2EFF) THEN SCH=MAX(0.,LOG(LOG(PMC**2/ALAM**2)/LOG(P2EFF/ALAM**2))) IF(ISET.EQ.0) THEN XCHM=XSEA*(1.-(SCH/SLL)**2) ELSE XCHM=MAX(0.,XSEA-XSEA0*X1**(2.667*S))*(1.-SCH/SLL) ENDIF ENDIF XBOT=0. IF(Q2.GT.PMB**2.AND.Q2.GT.1.001*P2EFF) THEN SBT=MAX(0.,LOG(LOG(PMB**2/ALAM**2)/LOG(P2EFF/ALAM**2))) IF(ISET.EQ.0) THEN XBOT=XSEA*(1.-(SBT/SLL)**2) ELSE XBOT=MAX(0.,XSEA-XSEA0*X1**(2.667*S))*(1.-SBT/SLL) ENDIF ENDIF C...Fill parton distributions. XPGA(0)=XGLU XPGA(1)=XSEA XPGA(2)=XSEA XPGA(3)=XSEA XPGA(4)=XCHM XPGA(5)=XBOT XPGA(KFA)=XPGA(KFA)+XVAL DO 110 KFL=1,5 XPGA(-KFL)=XPGA(KFL) 110 CONTINUE VXPGA(KFA)=XVAL VXPGA(-KFA)=XVAL RETURN END