Calculation of master integrals by difference equations
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
In this paper we describe a new method of calculation of master integrals based on the solution of systems of difference equations in one variable. An explicit example is given, and the generalization to arbitrary diagrams is described. As example of application of the method, we have calculated the values of master integrals for single-scale massive three-loop vacuum diagrams, three-loop self-energy diagrams, two-loop vertex diagrams and two-loop box diagrams.
Cite
@article{arxiv.hep-ph/0102032,
title = {Calculation of master integrals by difference equations},
author = {S. Laporta},
journal= {arXiv preprint arXiv:hep-ph/0102032},
year = {2009}
}
Comments
7 pages, 1 figure, LaTex, to be published in Physics Letters B