Publicação: NDIM achievements: massive, arbitrary tensor rank and N-loop insertions in Feynman integrals
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Iop Publishing Ltd
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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. The negative-dimensional integration method (NDIM) is a technique whereby such a problem is dramatically reduced. We present the calculation of two-loop integrals in three different cases: scalar ones with three different masses, massless with arbitrary tensor rank, with and N insertions of a two-loop diagram.
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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 33, n. 19, p. 3713-3722, 2000.