Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1848201 | Nuclear Physics B - Proceedings Supplements | 2006 | 5 Pages |
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 Gröbner bases. New results obtained with its help for a family of three-loop Feynman integrals are outlined.
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Nuclear and High Energy Physics