Groebner Bases in Perturbative Calculations

Details Groebner Bases in Perturbative Calculations Groebner Bases in Perturbative Calculations

2005-01-08

arxiv.org/abs/hep-ph/0501053v1

Nuclear Physics B (Proc. Suppl.) 135 (2004) 232-237

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages

Scientific paper

10.1016/j.nuclphysbps.2004.09.01

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.

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