Computation of Gr\"obner Bases for Two-Loop Propagator Type Integrals
High Energy Physics - Phenomenology
2009-11-10 v1
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.
Cite
@article{arxiv.hep-ph/0403253,
title = {Computation of Gr\"obner Bases for Two-Loop Propagator Type Integrals},
author = {O. V. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/0403253},
year = {2009}
}
Comments
4 pages, LaTeX, to appear in the Proceedings of ACAT-03, Tsukuba, Japan