Computation of Gröbner Bases for Two-Loop Propagator Type Integrals

Physics – High Energy Physics – High Energy Physics - Phenomenology

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4 pages, LaTeX, to appear in the Proceedings of ACAT-03, Tsukuba, Japan

Scientific paper

10.1016/j.nima.2004.07.104

The Gr\"obner basis technique for calculating Feynman diagrams proposed in
[O.V. Tarasov, Acta Physica Polonica, v. B29 (1998) 2655] is applied to the
two-loop propagator type integrals with arbitrary masses and momentum. We
describe the derivation of Gr\"obner bases for all integrals with 1PI
topologies and present elements of the Gr\"obner bases.

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