New Results for Algebraic Tensor Reduction of Feynman Integrals

@inproceedings{Fleischer2012NewRF,
title={New Results for Algebraic Tensor Reduction of Feynman Integrals},
author={J. Fleischer and T. Riemann and V. Yundin},
year={2012}
}

We report on some recent developments in algebraic tensor reduction of one-loop Feynman integrals. For 5-point functions, an efficient tensor reduction was worked out recently and is now available as numerical C++ package, PJFry, covering tensor ranks until five. It is free of inverse 5point Gram determinants and inverse small 4-point Gram determinants are treated by expansions in higher-dimensional 3-point functions. By exploiting sums over signed minors, weighted with scalar products of… Expand