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Computation of Gröbner Bases for Two-Loop Propagator Type Integrals

O. V. Tarasov
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Abstract

The Gröbner 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 Gröbner bases for all integrals with 1PI topologies and present elements of the Gröbner bases.

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O. V. Tarasov. 2004-03-24. Computation of Gröbner Bases for Two-Loop Propagator Type Integrals. https://doi.org/10.1016/j.nima.2004.07.104

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