Computation of Gröbner Bases for Two-Loop Propagator Type Integrals
arXiv:hep-ph/0403253 · doi:10.1016/j.nima.2004.07.104
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.
4 pages, LaTeX, to appear in the Proceedings of ACAT-03, Tsukuba, Japan