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NDIM achievements: Massive, Arbitrary tensor rank and N-loop insertions in Feynman integrals

A. T. Suzuki·A. G. M. Schmidt
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Abstract

One of the main difficulties in studying Quantum Field Theory, in the perturbative regime, is the calculation of D-dimensional Feynman integrals. In general, one introduces the so-called Feynman parameters and associated with them the cumbersome parametric integrals. Solving these integrals beyond the one-loop level can be a difficult task. Negative dimensional integration method (\ndim{}) is a technique whereby such problem is dramatically reduced. In this work we present the calculation of two-loop integrals in three diferent cases: scalar ones with three diferent masses, massless with arbitrary tensor rank, with N-insertions of a 2-loop diagram.

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A. T. Suzuki, A. G. M. Schmidt. 2000-05-09. NDIM achievements: Massive, Arbitrary tensor rank and N-loop insertions in Feynman integrals. https://doi.org/10.1088/0305-4470%2F33%2F19%2F307

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