Massive two--loop integrals in renormalizable theories

Details Massive two--loop integrals in renormalizable theories Massive two--loop integrals in renormalizable theories

1997-02-05

arxiv.org/abs/hep-ph/9702266v2

Nucl.Phys. B516 (1998) 385-401

Physics

High Energy Physics

High Energy Physics - Phenomenology

to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(98)00065-0

We propose a framework for calculating two-loop Feynman diagrams which appear within a renormalizable theory in the general mass case and at finite external momenta. Our approach is a combination of analytical results and of high accuracy numerical integration, similar to a method proposed previously for treating diagrams without numerators. We reduce all possible tensor structures to a small set of scalar integrals, for which we provide integral representations in terms of four basic functions. The algebraic part is suitable for implementing in a computer program for the automatic generation and evaluation of Feynman graphs. The numerical part is essentially the same as in the case of Feynman diagrams without numerators.

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