S-bases as a tool to solve reduction problems for Feynman integrals
arXiv:hep-ph/0606247 · doi:10.1016/j.nuclphysbps.2006.09.032
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.
5 pages, uses espcrc2.sty