Computation of Gröbner Bases for Two-Loop Propagator Type Integrals

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.

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