Resolution of singularities for multi-loop integrals

Preprint

3 December 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0709.4092

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.

Keywords

MULTI LOOP INTEGRALS
ITERATED SECTOR
DIVERGENT MULTI
REGULARISATION
SINGULARITIES
ALGORITHM
REGULATED

All Related Versions

Version 1, 2007-09-26, ArXiv
Version 2, 2007-12-03, ArXiv
Published version: Computer Physics Communications, 178 (8), 596.

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