English

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

High Energy Physics - Phenomenology 2009-11-11 v2

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

Cite

@article{arxiv.hep-ph/0507053,
  title  = {A practical criterion of irreducibility of multi--loop Feynman integrals},
  author = {P. A. Baikov},
  journal= {arXiv preprint arXiv:hep-ph/0507053},
  year   = {2009}
}