The criterion of irreducibility of multi-loop Feynman integrals
arXiv:hep-ph/9912421 · doi:10.1016/S0370-2693(00)00053-8
Abstract
The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ones (with some lines missing). Nevertheless the possibility of such reduction for the given particular integral was unclear. The recently proposed technique for studying the recurrence relations as by-product provides with simple criterion of the irreducibility.
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