Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations

Details Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations

2003-11-14

arxiv.org/abs/hep-ph/0311186v1

Nucl.Phys. B680 (2004) 199-270

Physics

High Energy Physics

High Energy Physics - Phenomenology

65 pages

Scientific paper

10.1016/j.nuclphysb.2003.12.016

A comprehensive study is performed of general massive, scalar, two-loop Feynman diagrams with three external legs. Algorithms for their numerical evaluation are introduced and discussed, numerical results are shown for all different topologies, and comparisons with analytical results, whenever available, are performed. An internal cross-check, based on alternative procedures, is also applied. The analysis of infrared divergent configurations, as well as the treatment of tensor integrals, will be discussed in two forthcoming papers.

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