Groebner Bases in Perturbative Calculations
High Energy Physics - Phenomenology
2009-11-11 v1
Abstract
In this paper we outline the most general and universal algorithmic approach to reduction of loop integrals to basic integrals. The approach is based on computation of Groebner bases for recurrence relations derived from the integration by parts method. In doing so we consider generic recurrence relations when propagators have arbitrary integer powers treated as symbolic variables (indices) for the relations.
Keywords
Cite
@article{arxiv.hep-ph/0501053,
title = {Groebner Bases in Perturbative Calculations},
author = {Vladimir P. Gerdt},
journal= {arXiv preprint arXiv:hep-ph/0501053},
year = {2009}
}
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5 pages