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A practical criterion of irreducibility of multi-loop Feynman integrals. (English) Zbl 1247.81314
Summary: 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.

MSC:
81T18 Feynman diagrams
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