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

High Energy Physics - Phenomenology 2009-11-11 v1 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/0602078,
  title  = {An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations},
  author = {A. V. Smirnov},
  journal= {arXiv preprint arXiv:hep-ph/0602078},
  year   = {2009}
}

Comments

LaTeX, 9 pages