English

FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation

High Energy Physics - Phenomenology 2014-11-17 v1 Nuclear Theory

Abstract

We investigate a numerical solution of the flavor-nonsinglet Altarelli-Parisi equation with next-to-leading-order αs\alpha_s corrections by using Laguerre polynomials. Expanding a structure function (or a quark distribution) 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 Q2^2 evolution of nonsinglet structure functions (F1_1, F2_2, and F3_3) and nonsinglet 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 Laguerre polynomials.

Keywords

Cite

@article{arxiv.hep-ph/9409289,
  title  = {FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation},
  author = {R. Kobayashi and M. Konuma and S. Kumano},
  journal= {arXiv preprint arXiv:hep-ph/9409289},
  year   = {2014}
}

Comments

LATEX 21 pages (Figs. 1 and 2 are available upon request), SAGA-HE-63-94