✦ LIBER ✦

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

✍ Scribed by A.V. Smirnov; V.A. Smirnov

Book ID: 103869874
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 210 KB
Volume: 160
Category: Article
ISSN: 0920-5632
DOI: 10.1016/j.nuclphysbps.2006.09.032

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✦ Synopsis

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 Gröbner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.

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