S-bases as a tool to solve reduction problems for Feynman integrals
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on integration by parts relations. In particular, we discuss a recently suggested reduction algorithm which uses Groebner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.
Cite
@article{arxiv.hep-ph/0606247,
title = {S-bases as a tool to solve reduction problems for Feynman integrals},
author = {A. V. Smirnov and V. A. Smirnov},
journal= {arXiv preprint arXiv:hep-ph/0606247},
year = {2008}
}
Comments
5 pages, uses espcrc2.sty