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
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.