On the tensor reduction of one-loop pentagons and hexagons

Preprint

18 July 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0807.2984

Abstract

We perform analytical reductions of one-loop tensor integrals with 5 and 6 legs to scalar master integrals. They are based on the use of recurrence relations connecting integrals in different space-time dimensions. The reductions are expressed in a compact form in terms of signed minors, and have been implemented in a mathematica package called hexagon.m. We present several numerical examples.

Keywords

PERFORM ANALYTICAL
TENSOR REDUCTION
MASTER INTEGRALS
LOOP PENTAGONS
SIGNED MINORS
RECURRENCE
LEGS

All Related Versions

Version 1, 2008-07-18, ArXiv
Published version: Nuclear Physics B - Proceedings Supplements, 183, 109.

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