Resolution of singularities for multi-loop integrals

Published: 15 April 2008| Version 1 | DOI: 10.17632/8g2fv3v8y3.1
Christian Bogner, Stefan Weinzierl


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. Title of program: sector_decomposition Catalogue Id: AEAG_v1_0 Nature of problem Computation of divergent multi-loop integrals. Versions of this program held in the CPC repository in Mendeley Data AEAG_v1_0; sector_decomposition; 10.1016/j.cpc.2007.11.012 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computational Method