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

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dc.creatorSmirnov, A. V.
dc.creatorSmirnov, V. A.
dc.date2006-06-22
dc.date.accessioned2026-07-07T11:05:09Z
dc.date.available2026-07-07T11:05:09Z
dc.descriptionWe 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.
dc.description5 pages, uses espcrc2.sty
dc.identifierhttps://arxiv.org/abs/hep-ph/0606247
dc.identifierhttp://arxiv.org/abs/hep-ph/0606247
dc.identifierNucl.Phys.Proc.Suppl.160:80-84,2006
dc.identifierdoi:10.1016/j.nuclphysbps.2006.09.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189121
dc.subjectHigh Energy Physics - Phenomenology
dc.titleS-bases as a tool to solve reduction problems for Feynman integrals
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