Resolution of singularities for multi-loop integrals

Details Resolution of singularities for multi-loop integrals Resolution of singularities for multi-loop integrals

2007-09-26

arxiv.org/abs/0709.4092v2

Comput.Phys.Commun.178:596-610,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, minor changes, version to be published

Scientific paper

10.1016/j.cpc.2007.11.012

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.

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