Two-loop vertices in quantum field theory: infrared convergent scalar configurations

2003/11/14 by A. Ferroglia, Andrea Ferroglia, G. Passarino +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2003.12.016

published as Nucl.Phys. B680 (2004) 199-270 · 65 pages

arxiv created 2003/11/14 · openalex publication_date 2004/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Methods to calculate scalar two-loop vertex diagrams
• Evaluating double and triple (?) boxes
• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies
• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Differential Equations for Two-Loop Four-Point Functions
• Explicit solutions of the 3-loop vacuum integral recurrence relations
• Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass
• A new approach to the Taylor expansion of multiloop Feynman diagrams
• Master integrals for the 2-loop QCD virtual corrections to the forward–backward asymmetry

Cited by

• The two loop crossed ladder vertex diagram with two massive exchanges