The regional strategy in the asymptotic expansion of two-loop vertex feynman diagrams

1998/12/30 by V. A. Smirnov, E. R. Rakhmetov, Edward Rakhmetov · 2 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Asymptotic expansion #Combinatorics #Computer science #Dimensional regularization #Feynman diagram #Feynman graph #Feynman integral #Graph #Integration by parts #Limit (mathematics) #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #Renormalization #Vertex (graph theory) #advanced mathematical theories #hep-ph #hep-th

paper · pdf · doi:10.1007/bf02557396

published as Theor.Math.Phys. 120 (1999) 870-875; Teor.Mat.Fiz. 120 (1999) 64-71 · 9 pages, LaTeX with axodraw.sty

arxiv created 1998/12/30 · openalex publication_date 1999/07/01 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

General prescriptions for evaluation of coefficients at arbitrary powers and logarithms in the asymptotic expansion of Feynman diagrams in the Sudakov limit are discussed and illustrated by two-loop examples. Peculiarities connected with evaluation of individual terms of the expansion, in particular, the introduction of auxiliary analytic regularization, are characterized.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops
• ASYMPTOTIC EXPANSIONS IN MOMENTA AND MASSES AND CALCULATION OF FEYNMAN DIAGRAMS
• Asymptotic expansion of Feynman integrals near threshold
• Regularization and renormalization of gauge fields

Cited by

• Two-loop tensor integrals in quantum field theory
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