Two-loop tensor integrals in quantum field theory

A comprehensive study is performed of general massive, tensor, two-loop Feynman diagrams with two and three external legs. Reduction to generalized scalar functions is discussed. Integral representations, supporting the same class of smoothness algorithms already employed for the numerical evaluatio...

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Bibliographic Details
Published in:Nuclear physics. B 2004-12, Vol.703 (1), p.3-126
Main Authors: Actis, Stefano, Passarino, Giampiero, Ferroglia, Andrea, Passera, Massimo, Uccirati, Sandro
Format: Article
Language:English
Subjects:
Feynman diagrams
Multi-loop calculations
Self-energy diagrams
Vertex diagrams
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Summary:A comprehensive study is performed of general massive, tensor, two-loop Feynman diagrams with two and three external legs. Reduction to generalized scalar functions is discussed. Integral representations, supporting the same class of smoothness algorithms already employed for the numerical evaluation of ordinary scalar functions, are introduced for each family of diagrams.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2004.10.018