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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

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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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