Feynman integrals and difference equations

Details Feynman integrals and difference equations Feynman integrals and difference equations

2007-09-12

arxiv.org/abs/0709.1769v1

PoSACAT2007:083,2007

Physics

Mathematical Physics

11 pages latex, 2 figures, Proceedings of the 11th International Workshop on Advanced Computing and Analysis Techniques in Phy

Scientific paper

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.

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