A practical criterion of irreducibility of multi--loop Feynman integrals

Preprint

19 March 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/0507053

Abstract

A practical criterion for the irreducibility (with respect to integration by part identities) of a particular Feynman integral to a given set of integrals is presented. The irreducibility is shown to be related to the existence of stable (with zero gradient) points of a specially constructed polynomial.

Keywords

SPECIALLY CONSTRUCTED
PRACTICAL CRITERION
FEYNMAN INTEGRALS
SET OF INTEGRALS
IRREDUCIBILITY
ZERO GRADIENT
LOOP FEYNMAN

All Related Versions

Version 1, 2005-07-05, ArXiv
Version 2, 2006-03-19, ArXiv
Published version: Physics Letters B, 634 (2-3), 325.

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