Computation of Gr\"obner Bases for Two-Loop Propagator Type Integrals
Abstract
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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