Two-loop tensor integrals in quantum field theory

2004/02/29 by Stefano Actis, S. Actis, Giampiero Passarino +6 · 1 citation
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Class (philosophy) #Combinatorics #Computer science #Cosmology and Gravitation Theories #Exact solutions in general relativity #Feynman diagram #Feynman integral #Geometry #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Propagator #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar–tensor theory #Smoothness #Tensor (intrinsic definition) #Tensor contraction #Tensor field #Tensor product #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2004.10.018

published as Nucl.Phys. B703 (2004) 3-126 · 95 pages, Latex. Presentation improved, substantial typographical restyling. To be published in Nuclear Physics B

arxiv created 2004/10/14 · openalex publication_date 2004/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

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