Resolution of singularities for multi-loop integrals
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
We report on a program for the numerical evaluation of divergent multi-loop integrals. The program is based on iterated sector decomposition. We improve the original algorithm of Binoth and Heinrich such that the program is guaranteed to terminate. The program can be used to compute numerically the Laurent expansion of divergent multi-loop integrals regulated by dimensional regularisation. The symbolic and the numerical steps of the algorithm are combined into one program.
Cite
@article{arxiv.0709.4092,
title = {Resolution of singularities for multi-loop integrals},
author = {Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:0709.4092},
year = {2008}
}
Comments
23 pages, minor changes, version to be published