#include "pdf/pilot.h" C CTEQ5M1 and CTEQ5L Parton Distribution Functions in Parametrized Form C C September 15, 1999 C C Ref: "GLOBAL QCD ANALYSIS OF PARTON STRUCTURE OF THE NUCLEON: C CTEQ5 PPARTON DISTRIBUTIONS" C hep-ph/9903282 C C The CTEQ5M1 set given here is an updated version of the original CTEQ5M C set posted, in the table version, on the Web page of CTEQ. C The differences between CTEQ5M and CTEQ5M1 are insignificant for almost C all applications. C The improvement is in the QCD evolution which is now more accurate, and C which agrees completely with the benchmark work of the HERA 96/97 Workshop. C C The differences between the parametrized and the corresponding table ver- C sions (on which it is based) are of similar order as between the two version. C C!! Because accurate parametrizations over a wide range of (x,Q) is hard to C obtain, only the most widely used sets CTEQ5M and CTEQ5L are available C in parametrized form for now. C C These parametrizations were obtained by Jon Pumplin. C C ****************************** C Iset PDF Description Alpha_s(Mz) Lam4 Lam5 C --------------------------------------------------------------------------- C 1 CTEQ5M1 Standard NLO MSbar scheme 0.118 326 226 C 3 CTEQ5L Leading Order 0.127 192 146 C --------------------------------------------------------------------------- C Note the Qcd-lambda values given for CTEQ5L is for the leading order C form of Alpha_s!! Alpha_s(Mz) gives the absolute calibration. C C The two Iset value are adopted to agree with the standard table versions. C C The following user-callable routines are provided: C C FUNCTION Ctq5Pd (Iset, Iprtn, X, Q, Irt) C returns the PROBABILITY density for a GIVEN flavor; C C FUNCTION Ctq5df (Iset, Iprtn, X, Q, Irt) C returns the MOMENTUM density of a GIVEN valence or sea distribution. C C SUBROUTINE Ctq5Pds(Iset, Pdf, X, Q, Irt) C returns an array of MOMENTUM densities for ALL flavors; C C The arguments of these routines are as follows: C C Iset is the set number: 1 for CTEQ5M1 or 3 for CTEQ5L C C Iprtn is the parton label (6, 5, 4, 3, 2, 1, 0, -1, ......, -6) C for (t, b, c, s, d, u, g, u_bar, ..., t_bar) C *** WARNING: We use the parton label 2 as D-quark and 1 as U-quark, C which might be different from your labels. C C X, Q are the usual x, Q; C C Irt is an error code: 0 if there was no error; 1 or more if (x,q) was C outside the range of validity of the parametrization. C C Range of validity: C C The range of (x, Q) covered by this parametrization of the QCD evolved C parton distributions is 1E-6 < x < 1 ; 1.1 GeV < Q < 10 TeV. Of course, C the PDF's are constrained by data only in a subset of that region; and C the assumed DGLAP evolution is unlikely to be valid for all of it either. C C The range of (x, Q) used in the CTEQ5 round of global analysis is C approximately 0.01 < x < 0.75 ; and 4 GeV^2 < Q^2 < 400 GeV^2 for C fixed target experiments; 0.0001 < x < 0.3 from HERA data; and C Q^2 up to 40,000 GeV^2 from Tevatron inclusive Jet data. C C DOUBLE PRECISION is used throughout in these routines, but conversion to C SINGLE PRECISION is possible C by removing the Implicit Double Precision statements. C C ************************************************************************** C C ******************************************************** c -------------------------------------------------------------------------- double precision function ctq5MI(ifl,x,q) c Parametrization of cteq5MI parton distribution functions (J. Pumplin 9/99). c ifl: 1=u,2=d,3=s,4=c,5=b;0=gluon;-1=ubar,-2=dbar,-3=sbar,-4=cbar,-5=bbar. c -------------------------------------------------------------------------- #include "pdf/impdp.inc" integer ifl ii = ifl if(ii .gt. 2) then ii = -ii endif if(ii .eq. -1) then sum = faux5MI(-1,x,q) ratio = faux5MI(-2,x,q) ctq5MI = sum/(1.d0 + ratio) elseif(ii .eq. -2) then sum = faux5MI(-1,x,q) ratio = faux5MI(-2,x,q) ctq5MI = sum*ratio/(1.d0 + ratio) elseif(ii .ge. -5) then ctq5MI = faux5MI(ii,x,q) else ctq5MI = 0.d0 endif return end