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arXiv · 1004.4199

The number of master integrals is finite

A. V. Smirnov·A. V. Petukhov
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Abstract

For a fixed Feynman graph one can consider Feynman integrals with all possible powers of propagators and try to reduce them, by linear relations, to a finite subset of integrals, the so-called master integrals. Up to now, there are numerous examples of reduction procedures resulting in a finite number of master integrals for various families of Feynman integrals. However, up to now it was just an empirical fact that the reduction procedure results in a finite number of irreducible integrals. It this paper we prove that the number of master integrals is always finite.

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A. V. Smirnov, A. V. Petukhov. 2010-05-06. The number of master integrals is finite. https://arxiv.org/abs/1004.4199

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