* * $Id$ * * $Log$ * Revision 1.1.1.2 1996/10/30 08:29:46 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 SFEHLQ1(DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL) C ::::::: EHLQ SET 1 SUPERFAST DOUBLE PRECISION ::::::: C #include "pdf/expdp.inc" + DX,DSCALE,DUP,DDN,DSEA,DSTR,DCHM,DBOT,DTOP,DGL PARAMETER (ALAM=0.2, 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/3,4,7,5,7,7,7,7/ C...Expansion coefficients for up valence quark distribution. DATA (((CEHLQ(IX,IT,NX,1),IX=1,6),IT=1,6),NX=1,2)/ 1 7.677E-01,-2.087E-01,-3.303E-01,-2.517E-02,-1.570E-02,-1.000E-04, 2-5.326E-01,-2.661E-01, 3.201E-01, 1.192E-01, 2.434E-02, 7.620E-03, 3 2.162E-01, 1.881E-01,-8.375E-02,-6.515E-02,-1.743E-02,-5.040E-03, 4-9.211E-02,-9.952E-02, 1.373E-02, 2.506E-02, 8.770E-03, 2.550E-03, 5 3.670E-02, 4.409E-02, 9.600E-04,-7.960E-03,-3.420E-03,-1.050E-03, 6-1.549E-02,-2.026E-02,-3.060E-03, 2.220E-03, 1.240E-03, 4.100E-04, 1 2.395E-01, 2.905E-01, 9.778E-02, 2.149E-02, 3.440E-03, 5.000E-04, 2 1.751E-02,-6.090E-03,-2.687E-02,-1.916E-02,-7.970E-03,-2.750E-03, 3-5.760E-03,-5.040E-03, 1.080E-03, 2.490E-03, 1.530E-03, 7.500E-04, 4 1.740E-03, 1.960E-03, 3.000E-04,-3.400E-04,-2.900E-04,-1.800E-04, 5-5.300E-04,-6.400E-04,-1.700E-04, 4.000E-05, 6.000E-05, 4.000E-05, 6 1.700E-04, 2.200E-04, 8.000E-05, 1.000E-05,-1.000E-05,-1.000E-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 3.813E-01,-8.090E-02,-1.634E-01,-2.185E-02,-8.430E-03,-6.200E-04, 2-2.948E-01,-1.435E-01, 1.665E-01, 6.638E-02, 1.473E-02, 4.080E-03, 3 1.252E-01, 1.042E-01,-4.722E-02,-3.683E-02,-1.038E-02,-2.860E-03, 4-5.478E-02,-5.678E-02, 8.900E-03, 1.484E-02, 5.340E-03, 1.520E-03, 5 2.220E-02, 2.567E-02,-3.000E-05,-4.970E-03,-2.160E-03,-6.500E-04, 6-9.530E-03,-1.204E-02,-1.510E-03, 1.510E-03, 8.300E-04, 2.700E-04, 1 1.261E-01, 1.354E-01, 3.958E-02, 8.240E-03, 1.660E-03, 4.500E-04, 2 3.890E-03,-1.159E-02,-1.625E-02,-9.610E-03,-3.710E-03,-1.260E-03, 3-1.910E-03,-5.600E-04, 1.590E-03, 1.590E-03, 8.400E-04, 3.900E-04, 4 6.400E-04, 4.900E-04,-1.500E-04,-2.900E-04,-1.800E-04,-1.000E-04, 5-2.000E-04,-1.900E-04, 0.000E+00, 6.000E-05, 4.000E-05, 3.000E-05, 6 7.000E-05, 8.000E-05, 2.000E-05,-1.000E-05,-1.000E-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 6.870E-02,-6.861E-02, 2.973E-02,-5.400E-03, 3.780E-03,-9.700E-04, 2-1.802E-02, 1.400E-04, 6.490E-03,-8.540E-03, 1.220E-03,-1.750E-03, 3-4.650E-03, 1.480E-03,-5.930E-03, 6.000E-04,-1.030E-03,-8.000E-05, 4 6.440E-03, 2.570E-03, 2.830E-03, 1.150E-03, 7.100E-04, 3.300E-04, 5-3.930E-03,-2.540E-03,-1.160E-03,-7.700E-04,-3.600E-04,-1.900E-04, 6 2.340E-03, 1.930E-03, 5.300E-04, 3.700E-04, 1.600E-04, 9.000E-05, 1 1.014E+00,-1.106E+00, 3.374E-01,-7.444E-02, 8.850E-03,-8.700E-04, 2 9.233E-01,-1.285E+00, 4.475E-01,-9.786E-02, 1.419E-02,-1.120E-03, 3 4.888E-02,-1.271E-01, 8.606E-02,-2.608E-02, 4.780E-03,-6.000E-04, 4-2.691E-02, 4.887E-02,-1.771E-02, 1.620E-03, 2.500E-04,-6.000E-05, 5 7.040E-03,-1.113E-02, 1.590E-03, 7.000E-04,-2.000E-04, 0.000E+00, 6-1.710E-03, 2.290E-03, 3.800E-04,-3.500E-04, 4.000E-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 9.482E-01,-9.578E-01, 1.009E-01,-1.051E-01, 3.456E-02,-3.054E-02, 2-9.627E-01, 5.379E-01, 3.368E-01,-9.525E-02, 1.488E-02,-2.051E-02, 3 4.300E-01,-8.306E-02,-3.372E-01, 4.902E-02,-9.160E-03, 1.041E-02, 4-1.925E-01,-1.790E-02, 2.183E-01, 7.490E-03, 4.140E-03,-1.860E-03, 5 8.183E-02, 1.926E-02,-1.072E-01,-1.944E-02,-2.770E-03,-5.200E-04, 6-3.884E-02,-1.234E-02, 5.410E-02, 1.879E-02, 3.350E-03, 1.040E-03, 1 2.948E+01,-3.902E+01, 1.464E+01,-3.335E+00, 5.054E-01,-5.915E-02, 2 2.559E+01,-3.955E+01, 1.661E+01,-4.299E+00, 6.904E-01,-8.243E-02, 3-1.663E+00, 1.176E+00, 1.118E+00,-7.099E-01, 1.948E-01,-2.404E-02, 4-2.168E-01, 8.170E-01,-7.169E-01, 1.851E-01,-1.924E-02,-3.250E-03, 5 2.088E-01,-4.355E-01, 2.239E-01,-2.446E-02,-3.620E-03, 1.910E-03, 6-9.097E-02, 1.601E-01,-5.681E-02,-2.500E-03, 2.580E-03,-4.700E-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 4.968E-02,-4.173E-02, 2.102E-02,-3.270E-03, 3.240E-03,-6.700E-04, 2-6.150E-03,-1.294E-02, 6.740E-03,-6.890E-03, 9.000E-04,-1.510E-03, 3-8.580E-03, 5.050E-03,-4.900E-03,-1.600E-04,-9.400E-04,-1.500E-04, 4 7.840E-03, 1.510E-03, 2.220E-03, 1.400E-03, 7.000E-04, 3.500E-04, 5-4.410E-03,-2.220E-03,-8.900E-04,-8.500E-04,-3.600E-04,-2.000E-04, 6 2.520E-03, 1.840E-03, 4.100E-04, 3.900E-04, 1.600E-04, 9.000E-05, 1 9.235E-01,-1.085E+00, 3.464E-01,-7.210E-02, 9.140E-03,-9.100E-04, 2 9.315E-01,-1.274E+00, 4.512E-01,-9.775E-02, 1.380E-02,-1.310E-03, 3 4.739E-02,-1.296E-01, 8.482E-02,-2.642E-02, 4.760E-03,-5.700E-04, 4-2.653E-02, 4.953E-02,-1.735E-02, 1.750E-03, 2.800E-04,-6.000E-05, 5 6.940E-03,-1.132E-02, 1.480E-03, 6.500E-04,-2.100E-04, 0.000E+00, 6-1.680E-03, 2.340E-03, 4.200E-04,-3.400E-04, 5.000E-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 9.270E-03,-1.817E-02, 9.590E-03,-6.390E-03, 1.690E-03,-1.540E-03, 2 5.710E-03,-1.188E-02, 6.090E-03,-4.650E-03, 1.240E-03,-1.310E-03, 3-3.960E-03, 7.100E-03,-3.590E-03, 1.840E-03,-3.900E-04, 3.400E-04, 4 1.120E-03,-1.960E-03, 1.120E-03,-4.800E-04, 1.000E-04,-4.000E-05, 5 4.000E-05,-3.000E-05,-1.800E-04, 9.000E-05,-5.000E-05,-2.000E-05, 6-4.200E-04, 7.300E-04,-1.600E-04, 5.000E-05, 5.000E-05, 5.000E-05, 1 8.098E-01,-1.042E+00, 3.398E-01,-6.824E-02, 8.760E-03,-9.000E-04, 2 8.961E-01,-1.217E+00, 4.339E-01,-9.287E-02, 1.304E-02,-1.290E-03, 3 3.058E-02,-1.040E-01, 7.604E-02,-2.415E-02, 4.600E-03,-5.000E-04, 4-2.451E-02, 4.432E-02,-1.651E-02, 1.430E-03, 1.200E-04,-1.000E-04, 5 1.122E-02,-1.457E-02, 2.680E-03, 5.800E-04,-1.200E-04, 3.000E-05, 6-7.730E-03, 7.330E-03,-7.600E-04,-2.400E-04, 1.000E-05, 0.000E+00/ C...Expansion coefficients for bottom sea quark distribution. DATA (((CEHLQ(IX,IT,NX,7),IX=1,6),IT=1,6),NX=1,2)/ 1 9.010E-03,-1.401E-02, 7.150E-03,-4.130E-03, 1.260E-03,-1.040E-03, 2 6.280E-03,-9.320E-03, 4.780E-03,-2.890E-03, 9.100E-04,-8.200E-04, 3-2.930E-03, 4.090E-03,-1.890E-03, 7.600E-04,-2.300E-04, 1.400E-04, 4 3.900E-04,-1.200E-03, 4.400E-04,-2.500E-04, 2.000E-05,-2.000E-05, 5 2.600E-04, 1.400E-04,-8.000E-05, 1.000E-04, 1.000E-05, 1.000E-05, 6-2.600E-04, 3.200E-04, 1.000E-05,-1.000E-05, 1.000E-05,-1.000E-05, 1 8.029E-01,-1.075E+00, 3.792E-01,-7.843E-02, 1.007E-02,-1.090E-03, 2 7.903E-01,-1.099E+00, 4.153E-01,-9.301E-02, 1.317E-02,-1.410E-03, 3-1.704E-02,-1.130E-02, 2.882E-02,-1.341E-02, 3.040E-03,-3.600E-04, 4-7.200E-04, 7.230E-03,-5.160E-03, 1.080E-03,-5.000E-05,-4.000E-05, 5 3.050E-03,-4.610E-03, 1.660E-03,-1.300E-04,-1.000E-05, 1.000E-05, 6-4.360E-03, 5.230E-03,-1.610E-03, 2.000E-04,-2.000E-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 4.410E-03,-7.480E-03, 3.770E-03,-2.580E-03, 7.300E-04,-7.100E-04, 2 3.840E-03,-6.050E-03, 3.030E-03,-2.030E-03, 5.800E-04,-5.900E-04, 3-8.800E-04, 1.660E-03,-7.500E-04, 4.700E-04,-1.000E-04, 1.000E-04, 4-8.000E-05,-1.500E-04, 1.200E-04,-9.000E-05, 3.000E-05, 0.000E+00, 5 1.300E-04,-2.200E-04,-2.000E-05,-2.000E-05,-2.000E-05,-2.000E-05, 6-7.000E-05, 1.900E-04,-4.000E-05, 2.000E-05, 0.000E+00, 0.000E+00, 1 6.623E-01,-9.248E-01, 3.519E-01,-7.930E-02, 1.110E-02,-1.180E-03, 2 6.380E-01,-9.062E-01, 3.582E-01,-8.479E-02, 1.265E-02,-1.390E-03, 3-2.581E-02, 2.125E-02, 4.190E-03,-4.980E-03, 1.490E-03,-2.100E-04, 4 7.100E-04, 5.300E-04,-1.270E-03, 3.900E-04,-5.000E-05,-1.000E-05, 5 3.850E-03,-5.060E-03, 1.860E-03,-3.500E-04, 4.000E-05, 0.000E+00, 6-3.530E-03, 4.460E-03,-1.500E-03, 2.700E-04,-3.000E-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**2 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=8.1905 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=11.5528 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