A Semianalytical Method to Solve Altarelli-Parisi Evolution Equations
Abstract
We discuss a new method to solve in a semianalytical way the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NLO order in the x-space. The method allows to construct an evolution operator expressed in form of a rapidly convergent series of matrices, depending only on the splitting functions. This operator, acting on a generic initial distribution, provides a very accurate solution in a short computer time (only a few hundredth of second). As an example, we apply the method, useful to solve a wide class of systems of integrodifferential equations, to the polarized parton distributions
Cite
@article{arxiv.hep-ph/9909289,
title = {A Semianalytical Method to Solve Altarelli-Parisi Evolution Equations},
author = {Pietro Santorelli and Egidio Scrimieri},
journal= {arXiv preprint arXiv:hep-ph/9909289},
year = {2007}
}
Comments
7 pages LaTeX + 6 figures, uses JHEP.cls (included); based on talk given by the first author at the 6th Hellenic School and Workshop on Elementary Particle Physics, Corfu, Greece, September 1998