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

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.

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

References in corpus (3)

• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Application of the negative-dimension approach to massless scalar box integrals
• Prescriptionless light-cone integrals

Cited by in corpus (3)

• Two-Loop Tensor Integrals in Quantum Field Theory
• General massive one-loop off-shell three-point functions
• Non-planar double-box, massive and massless pentabox Feynman integrals in negative dimensional approach