* * $Id$ * * $Log$ * Revision 1.1.1.2 1996/10/30 08:29:47 cernlib * Version 7.04 * * Revision 1.1.1.1 1996/04/12 15:29:35 plothow * Version 7.01 * * #include "pdf/pilot.h" C----------------------------------------------------------------------- SUBROUTINE SFEHLQ2(DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL) C ::::::: EHLQ SET 2 SUPERFAST DOUBLE PRECISION ::::::: C #include "pdf/expdp.inc" + DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL PARAMETER (ALAM=0.29, Q02=5.0) #include "pdf/w50511.inc" DIMENSION XQ(9),TX(6),TT(6),TS(6),NEHLQ(8),CEHLQ(6,6,2,8) C C...The following data lines are coefficients needed in the C...Eichten, Hinchliffe, Lane, Quigg proton structure function C...parametrizations, see below. C...Powers of 1-x in different cases. DATA NEHLQ/3,4,7,6,7,7,7,7/ C...Expansion coefficients for up valence quark distribution. DATA (((CEHLQ(IX,IT,NX,1),IX=1,6),IT=1,6),NX=1,2)/ 1 7.237E-01,-2.189E-01,-2.995E-01,-1.909E-02,-1.477E-02, 2.500E-04, 2-5.314E-01,-2.425E-01, 3.283E-01, 1.119E-01, 2.223E-02, 7.070E-03, 3 2.289E-01, 1.890E-01,-9.859E-02,-6.900E-02,-1.747E-02,-5.080E-03, 4-1.041E-01,-1.084E-01, 2.108E-02, 2.975E-02, 9.830E-03, 2.830E-03, 5 4.394E-02, 5.116E-02,-1.410E-03,-1.055E-02,-4.230E-03,-1.270E-03, 6-1.991E-02,-2.539E-02,-2.780E-03, 3.430E-03, 1.720E-03, 5.500E-04, 1 2.410E-01, 2.884E-01, 9.369E-02, 1.900E-02, 2.530E-03, 2.400E-04, 2 1.765E-02,-9.220E-03,-3.037E-02,-2.085E-02,-8.440E-03,-2.810E-03, 3-6.450E-03,-5.260E-03, 1.720E-03, 3.110E-03, 1.830E-03, 8.700E-04, 4 2.120E-03, 2.320E-03, 2.600E-04,-4.900E-04,-3.900E-04,-2.300E-04, 5-6.900E-04,-8.200E-04,-2.000E-04, 7.000E-05, 9.000E-05, 6.000E-05, 6 2.400E-04, 3.100E-04, 1.100E-04, 0.000E+00,-2.000E-05,-2.000E-05/ C...Expansion coefficients for down valence quark distribution. DATA (((CEHLQ(IX,IT,NX,2),IX=1,6),IT=1,6),NX=1,2)/ 1 3.578E-01,-8.622E-02,-1.480E-01,-1.840E-02,-7.820E-03,-4.500E-04, 2-2.925E-01,-1.304E-01, 1.696E-01, 6.243E-02, 1.353E-02, 3.750E-03, 3 1.318E-01, 1.041E-01,-5.486E-02,-3.872E-02,-1.038E-02,-2.850E-03, 4-6.162E-02,-6.143E-02, 1.303E-02, 1.740E-02, 5.940E-03, 1.670E-03, 5 2.643E-02, 2.957E-02,-1.490E-03,-6.450E-03,-2.630E-03,-7.700E-04, 6-1.218E-02,-1.497E-02,-1.260E-03, 2.240E-03, 1.120E-03, 3.500E-04, 1 1.263E-01, 1.334E-01, 3.732E-02, 7.070E-03, 1.260E-03, 3.400E-04, 2 3.660E-03,-1.357E-02,-1.795E-02,-1.031E-02,-3.880E-03,-1.280E-03, 3-2.100E-03,-3.600E-04, 2.050E-03, 1.920E-03, 9.800E-04, 4.400E-04, 4 7.700E-04, 5.400E-04,-2.400E-04,-3.900E-04,-2.400E-04,-1.300E-04, 5-2.600E-04,-2.300E-04, 2.000E-05, 9.000E-05, 6.000E-05, 4.000E-05, 6 9.000E-05, 1.000E-04, 2.000E-05,-2.000E-05,-2.000E-05,-1.000E-05/ C...Expansion coefficients for up and down sea quark distributions. DATA (((CEHLQ(IX,IT,NX,3),IX=1,6),IT=1,6),NX=1,2)/ 1 1.008E-01,-7.100E-02, 1.973E-02,-5.710E-03, 2.930E-03,-9.900E-04, 2-5.271E-02,-1.823E-02, 1.792E-02,-6.580E-03, 1.750E-03,-1.550E-03, 3 1.220E-02, 1.763E-02,-8.690E-03,-8.800E-04,-1.160E-03,-2.100E-04, 4-1.190E-03,-7.180E-03, 2.360E-03, 1.890E-03, 7.700E-04, 4.100E-04, 5-9.100E-04, 2.040E-03,-3.100E-04,-1.050E-03,-4.000E-04,-2.400E-04, 6 1.190E-03,-1.700E-04,-2.000E-04, 4.200E-04, 1.700E-04, 1.000E-04, 1 1.081E+00,-1.189E+00, 3.868E-01,-8.617E-02, 1.115E-02,-1.180E-03, 2 9.917E-01,-1.396E+00, 4.998E-01,-1.159E-01, 1.674E-02,-1.720E-03, 3 5.099E-02,-1.338E-01, 9.173E-02,-2.885E-02, 5.890E-03,-6.500E-04, 4-3.178E-02, 5.703E-02,-2.070E-02, 2.440E-03, 1.100E-04,-9.000E-05, 5 8.970E-03,-1.392E-02, 2.050E-03, 6.500E-04,-2.300E-04, 2.000E-05, 6-2.340E-03, 3.010E-03, 5.000E-04,-3.900E-04, 6.000E-05, 1.000E-05/ C...Expansion coefficients for gluon distribution. DATA (((CEHLQ(IX,IT,NX,4),IX=1,6),IT=1,6),NX=1,2)/ 1 2.367E+00, 4.453E-01, 3.660E-01, 9.467E-02, 1.341E-01, 1.661E-02, 2-3.170E+00,-1.795E+00, 3.313E-02,-2.874E-01,-9.827E-02,-7.119E-02, 3 1.823E+00, 1.457E+00,-2.465E-01, 3.739E-02, 6.090E-03, 1.814E-02, 4-1.033E+00,-9.827E-01, 2.136E-01, 1.169E-01, 5.001E-02, 1.684E-02, 5 5.133E-01, 5.259E-01,-1.173E-01,-1.139E-01,-4.988E-02,-2.021E-02, 6-2.881E-01,-3.145E-01, 5.667E-02, 9.161E-02, 4.568E-02, 1.951E-02, 1 3.036E+01,-4.062E+01, 1.578E+01,-3.699E+00, 6.020E-01,-7.031E-02, 2 2.700E+01,-4.167E+01, 1.770E+01,-4.804E+00, 7.862E-01,-1.060E-01, 3-1.909E+00, 1.357E+00, 1.127E+00,-7.181E-01, 2.232E-01,-2.481E-02, 4-2.488E-01, 9.781E-01,-8.127E-01, 2.094E-01,-2.997E-02,-4.710E-03, 5 2.506E-01,-5.427E-01, 2.672E-01,-3.103E-02,-1.800E-03, 2.870E-03, 6-1.128E-01, 2.087E-01,-6.972E-02,-2.480E-03, 2.630E-03,-8.400E-04/ C...Expansion coefficients for strange sea quark distribution. DATA (((CEHLQ(IX,IT,NX,5),IX=1,6),IT=1,6),NX=1,2)/ 1 6.478E-02,-4.537E-02, 1.643E-02,-3.490E-03, 2.710E-03,-6.700E-04, 2-2.223E-02,-2.126E-02, 1.247E-02,-6.290E-03, 1.120E-03,-1.440E-03, 3-1.340E-03, 1.362E-02,-6.130E-03,-7.900E-04,-9.000E-04,-2.000E-04, 4 5.080E-03,-3.610E-03, 1.700E-03, 1.830E-03, 6.800E-04, 4.000E-04, 5-3.580E-03, 6.000E-05,-2.600E-04,-1.050E-03,-3.800E-04,-2.300E-04, 6 2.420E-03, 9.300E-04,-1.000E-04, 4.500E-04, 1.700E-04, 1.100E-04, 1 9.868E-01,-1.171E+00, 3.940E-01,-8.459E-02, 1.124E-02,-1.250E-03, 2 1.001E+00,-1.383E+00, 5.044E-01,-1.152E-01, 1.658E-02,-1.830E-03, 3 4.928E-02,-1.368E-01, 9.021E-02,-2.935E-02, 5.800E-03,-6.600E-04, 4-3.133E-02, 5.785E-02,-2.023E-02, 2.630E-03, 1.600E-04,-8.000E-05, 5 8.840E-03,-1.416E-02, 1.900E-03, 5.800E-04,-2.500E-04, 1.000E-05, 6-2.300E-03, 3.080E-03, 5.500E-04,-3.700E-04, 7.000E-05, 1.000E-05/ C...Expansion coefficients for charm sea quark distribution. DATA (((CEHLQ(IX,IT,NX,6),IX=1,6),IT=1,6),NX=1,2)/ 1 9.980E-03,-1.945E-02, 1.055E-02,-6.870E-03, 1.860E-03,-1.560E-03, 2 5.700E-03,-1.203E-02, 6.250E-03,-4.860E-03, 1.310E-03,-1.370E-03, 3-4.490E-03, 7.990E-03,-4.170E-03, 2.050E-03,-4.400E-04, 3.300E-04, 4 1.470E-03,-2.480E-03, 1.460E-03,-5.700E-04, 1.200E-04,-1.000E-05, 5-9.000E-05, 1.500E-04,-3.200E-04, 1.200E-04,-6.000E-05,-4.000E-05, 6-4.200E-04, 7.600E-04,-1.400E-04, 4.000E-05, 7.000E-05, 5.000E-05, 1 8.698E-01,-1.131E+00, 3.836E-01,-8.111E-02, 1.048E-02,-1.300E-03, 2 9.626E-01,-1.321E+00, 4.854E-01,-1.091E-01, 1.583E-02,-1.700E-03, 3 3.057E-02,-1.088E-01, 8.022E-02,-2.676E-02, 5.590E-03,-5.600E-04, 4-2.845E-02, 5.164E-02,-1.918E-02, 2.210E-03,-4.000E-05,-1.500E-04, 5 1.311E-02,-1.751E-02, 3.310E-03, 5.100E-04,-1.200E-04, 5.000E-05, 6-8.590E-03, 8.380E-03,-9.200E-04,-2.600E-04, 1.000E-05,-1.000E-05/ C...Expansion coefficients for bottom sea quark distribution. DATA (((CEHLQ(IX,IT,NX,7),IX=1,6),IT=1,6),NX=1,2)/ 1 8.980E-03,-1.459E-02, 7.510E-03,-4.410E-03, 1.310E-03,-1.070E-03, 2 5.970E-03,-9.440E-03, 4.800E-03,-3.020E-03, 9.100E-04,-8.500E-04, 3-3.050E-03, 4.440E-03,-2.100E-03, 8.500E-04,-2.400E-04, 1.400E-04, 4 5.300E-04,-1.300E-03, 5.600E-04,-2.700E-04, 3.000E-05,-2.000E-05, 5 2.000E-04, 1.400E-04,-1.100E-04, 1.000E-04, 0.000E+00, 0.000E+00, 6-2.600E-04, 3.200E-04, 0.000E+00,-3.000E-05, 1.000E-05,-1.000E-05, 1 8.672E-01,-1.174E+00, 4.265E-01,-9.252E-02, 1.244E-02,-1.460E-03, 2 8.500E-01,-1.194E+00, 4.630E-01,-1.083E-01, 1.614E-02,-1.830E-03, 3-2.241E-02,-5.630E-03, 2.815E-02,-1.425E-02, 3.520E-03,-4.300E-04, 4-7.300E-04, 8.030E-03,-5.780E-03, 1.380E-03,-1.300E-04,-4.000E-05, 5 3.460E-03,-5.380E-03, 1.960E-03,-2.100E-04, 1.000E-05, 1.000E-05, 6-4.850E-03, 5.950E-03,-1.890E-03, 2.600E-04,-3.000E-05, 0.000E+00/ C...Expansion coefficients for top sea quark distribution. DATA (((CEHLQ(IX,IT,NX,8),IX=1,6),IT=1,6),NX=1,2)/ 1 4.260E-03,-7.530E-03, 3.830E-03,-2.680E-03, 7.600E-04,-7.300E-04, 2 3.640E-03,-6.050E-03, 3.030E-03,-2.090E-03, 5.900E-04,-6.000E-04, 3-9.200E-04, 1.710E-03,-8.200E-04, 5.000E-04,-1.200E-04, 1.000E-04, 4-5.000E-05,-1.600E-04, 1.300E-04,-9.000E-05, 3.000E-05, 0.000E+00, 5 1.300E-04,-2.100E-04,-1.000E-05,-2.000E-05,-2.000E-05,-1.000E-05, 6-8.000E-05, 1.800E-04,-5.000E-05, 2.000E-05, 0.000E+00, 0.000E+00, 1 7.146E-01,-1.007E+00, 3.932E-01,-9.246E-02, 1.366E-02,-1.540E-03, 2 6.856E-01,-9.828E-01, 3.977E-01,-9.795E-02, 1.540E-02,-1.790E-03, 3-3.053E-02, 2.758E-02, 2.150E-03,-4.880E-03, 1.640E-03,-2.500E-04, 4 9.200E-04, 4.200E-04,-1.340E-03, 4.600E-04,-8.000E-05,-1.000E-05, 5 4.230E-03,-5.660E-03, 2.140E-03,-4.300E-04, 6.000E-05, 0.000E+00, 6-3.890E-03, 5.000E-03,-1.740E-03, 3.300E-04,-4.000E-05, 0.000E+00/ C C C...Proton structure functions from Eichten, Hinchliffe, Lane, Quigg. C...Allowed variable range: 5 GeV^2 < Q^2 < 1E8 GeV^2; 1E-4 < x < 1 C C...Determine Lamdba and x and t expansion variables. X = DX SCALE = DSCALE KF = ABS(NFL) Q2 =SCALE*SCALE TMIN=LOG(Q02/ALAM**2) TMAX=LOG(1E8/ALAM**2) T=LOG(MAX(1.,Q2/ALAM**2)) VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) NX=1 IF(X.LE.0.1) NX=2 IF(NX.EQ.1) VX=(2.*X-1.1)/0.9 IF(NX.EQ.2) VX=MAX(-1.,(2.*LOG(X)+11.51293)/6.90776) CXS=1. C...Chebyshev polynomials for x and t expansion. TX(1)=1. TX(2)=VX TX(3)=2.*VX**2-1. TX(4)=4.*VX**3-3.*VX TX(5)=8.*VX**4-8.*VX**2+1. TX(6)=16.*VX**5-20.*VX**3+5.*VX TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT C...Calculate structure functions. DO 120 KFL=1,6 XQSUM=0. DO 110 IT=1,6 DO 110 IX=1,6 110 XQSUM=XQSUM+CEHLQ(IX,IT,NX,KFL)*TX(IX)*TT(IT) 120 XQ(KFL)=XQSUM*(1.-X)**NEHLQ(KFL)*CXS C C...Put into output variables DUP = XQ(1) DDN = XQ(2) DSEA = XQ(3) DGL = XQ(4) DSTR = XQ(5) DCHM = XQ(6) DBOT = 0.D0 DTOP = 0.D0 C IF (KF.GE.5) THEN C C...Special expansion for bottom (threshold effects). BOT = 0. TMIN=7.4474 IF(T.LE.TMIN) GOTO 140 VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT XQSUM=0. DO 130 IT=1,6 DO 130 IX=1,6 130 XQSUM=XQSUM+CEHLQ(IX,IT,NX,7)*TX(IX)*TT(IT) BOT=XQSUM*(1.-X)**NEHLQ(7)*CXS 140 CONTINUE ENDIF DBOT = BOT C-- IF (KF.GE.6) THEN C C...Special expansion for top (threshold effects). TOP = 0. TMIN=10.8097 TMIN=TMIN+2.*LOG(TMAS/30.) TMAX=TMAX+2.*LOG(TMAS/30.) IF(T.LE.TMIN) GOTO 160 VT=MAX(-1.,MIN(1.,(2.*T-TMAX-TMIN)/(TMAX-TMIN))) TT(1)=1. TT(2)=VT TT(3)=2.*VT**2-1. TT(4)=4.*VT**3-3.*VT TT(5)=8.*VT**4-8.*VT**2+1. TT(6)=16.*VT**5-20.*VT**3+5.*VT XQSUM=0. DO 150 IT=1,6 DO 150 IX=1,6 150 XQSUM=XQSUM+CEHLQ(IX,IT,NX,8)*TX(IX)*TT(IT) TOP=XQSUM*(1.-X)**NEHLQ(8)*CXS 160 CONTINUE ENDIF DTOP = TOP C RETURN END