Computation of Gröbner Bases for Two-Loop Propagator Type Integrals

Preprint

24 March 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0403253

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.

Keywords

TWO LOOP PROPAGATOR
PROPAGATOR TYPE
TYPE INTEGRALS
BNER BASES
OBNER

All Related Versions

Version 1, 2004-03-24, ArXiv
Published version: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 534 (1-2), 293.

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