FORTRAN PROGRAM FOR A NUMERICAL-SOLUTION OF THE NONSINGLET ALTARELLI-PARISI EQUATION

Citation
R. Kobayashi et al., FORTRAN PROGRAM FOR A NUMERICAL-SOLUTION OF THE NONSINGLET ALTARELLI-PARISI EQUATION, Computer physics communications, 86(3), 1995, pp. 264-278
Citations number
36
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
ISSN journal
00104655
Volume
86
Issue
3
Year of publication
1995
Pages
264 - 278
Database
ISI
SICI code
0010-4655(1995)86:3<264:FPFANO>2.0.ZU;2-K
Abstract
We investigate a numerical solution of the flavor-nonsinglet Altarelli -Parisi equation with next-to-leading-order alpha(s) corrections by us ing Laguerre polynomials. Expanding a structure function (or a quark d istribution) and a splitting function by the Laguerre polynomials, we reduce an integrodifferential equation to a summation of finite number of Laguerre coefficients, We provide a FORTRAN program for Q(2) evolu tion of nonsinglet structure functions (F-1, F-2, and F-3) and nonsing let quark distributions. This is a very effective program with typical running time of a few seconds on SUN-IPX or on VAX-4000/500. Accurate evolution results are obtained by taking approximately twenty Laguerr e polynomials.