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On the tensor reduction of one-loop pentagons and hexagons

arXiv:0807.2984 · doi:10.1016/j.nuclphysbps.2008.09.091

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.

Latex, 7 pages, 2 eps figures. Contribution to the proceedings of `Loops and Legs in Quantum Field Theory', April 2008, Sondershausen, Germany