An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

Details An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

2006-02-09

arxiv.org/abs/hep-ph/0602078v1

JHEP 0604 (2006) 026

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 9 pages

Scientific paper

10.1088/1126-6708/2006/04/026

This paper is a detailed description of an algorithm based on a generalized
Buchberger algorithm for constructing Groebner-type bases associated with
polynomials of shift operators. The algorithm is used for calculating Feynman
integrals and has proven itself efficient in several complicated cases.

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