arXiv:0807.2984·v1·High Energy Physics — Phenomenology
On the tensor reduction of one-loop pentagons and hexagons
T. Diakonidis (1)🇩🇪 · J. Fleischer (1 and 2)🇩🇪 · J. Gluza (3)🇵🇱 · K. Kajda (3)🇵🇱 · T. Riemann (1)🇩🇪 · J.B. Tausk (1) ((1) DESY, Zeuthen, (2) Univ. Bielefeld, (3) Univ. of Silesia)🇩🇪
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.
Comments: Latex, 7 pages, 2 eps figures. Contribution to the proceedings of `Loops and Legs in Quantum Field Theory', April 2008, Sondershausen, Germany