S-bases as a tool to solve reduction problems for Feynman integrals

Details S-bases as a tool to solve reduction problems for Feynman integrals S-bases as a tool to solve reduction problems for Feynman integrals

2006-06-22

arxiv.org/abs/hep-ph/0606247v1

Nucl.Phys.Proc.Suppl.160:80-84,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, uses espcrc2.sty

Scientific paper

10.1016/j.nuclphysbps.2006.09.03

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.

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