6533b7ddfe1ef96bd1274094

RESEARCH PRODUCT

Resolution of singularities for multi-loop integrals

Stefan WeinzierlChristian BognerChristian Bogner

subject

LOOP (programming language)Laurent seriesMathematical analysisGeneral Physics and AstronomyFOS: Physical sciencesResolution of singularitiesHigh Energy Physics - PhenomenologySingularityHigh Energy Physics - Phenomenology (hep-ph)Hardware and ArchitectureIterated functionDecomposition (computer science)Applied mathematicsComputer Science::Programming LanguagesField theory (psychology)Perturbation theory (quantum mechanics)Mathematics

description

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.

yearjournalcountryeditionlanguage
2007-09-26
10.1016/j.cpc.2007.11.012http://arxiv.org/abs/0709.4092