A Practical criterion of irreducibility of multi-loop Feynman integrals

Jul, 2005
7 pages
Published in:
  • Phys.Lett.B 634 (2006) 325-329
e-Print:

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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.
  • Feynman graph: higher-order
  • propagator: massless
  • expansion 1/d