On the reduction of Feynman integrals to master integrals
High Energy Physics - Phenomenology
2008-12-18 v1
Abstract
The reduction of Feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations. Straightforward applications of the classical Buchberger algorithm to construct Groebner bases seem to be inefficient. An essential modification designed especially for this problem has been worked out. It has been already applied in two- and three-loop calculations. We are also suggesting to combine our method with the Laporta's algorithm.
Cite
@article{arxiv.0707.3993,
title = {On the reduction of Feynman integrals to master integrals},
author = {A. V. Smirnov and V. A. Smirnov},
journal= {arXiv preprint arXiv:0707.3993},
year = {2008}
}
Comments
8 pages, proceedings of ACAT07