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One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals

A. T. Suzuki·E. S. Santos·A. G. M. Schmidt
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Abstract

We show that at one-loop order, negative-dimensional, Mellin-Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integrals calculations are equivalent. Starting with a generating functional, for two and then for $N$-point scalar integrals we show how to reobtain MB results, using negative-dimensional and FP techniques. The $N-$point result is valid for different masses, arbitrary exponents of propagators and dimension.

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A. T. Suzuki, E. S. Santos, A. G. M. Schmidt. 2003-09-08. One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals. https://doi.org/10.1088/0305-4470%2F36%2F47%2F012

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