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

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

2000-05-09

arxiv.org/abs/hep-th/0005082v1

J.Phys.A33:3713-3722,2000

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 4 figures, RevTex. To be published in JPA

Scientific paper

10.1088/0305-4470/33/19/307

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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