Feynman integrals and difference equations
Mathematical Physics
2008-12-18 v1 math.MP
Abstract
We report on the calculation of multi-loop Feynman integrals for single-scale problems by means of difference equations in Mellin space. The solution to these difference equations in terms of harmonic sums can be constructed algorithmically over difference fields, the so-called Pi-Sigma-fields. We test the implementaion of the Mathematica package Sigma on examples from recent higher order perturbative calculations in Quantum Chromodynamics.
Cite
@article{arxiv.0709.1769,
title = {Feynman integrals and difference equations},
author = {S. Moch and C. Schneider},
journal= {arXiv preprint arXiv:0709.1769},
year = {2008}
}
Comments
11 pages latex, 2 figures, Proceedings of the 11th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT 07), Amsterdam, The Netherlands