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

DOI10.1016/j.nuclphysb.2003.12.016zbMath1042.81060arXivhep-ph/0311186OpenAlexW2075451412MaRDI QIDQ1420372

Massimo Passera, Giampiero Passarino, Andrea Ferroglia, Sandro Uccirati

Publication date: 1 February 2004

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0311186

zbMATH Keywords

massive Feynman diagramsnumerical evaluation algorithms

Mathematics Subject Classification ID

Feynman diagrams (81T18) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (15)

Two-loop renormalization in the Standard Model. I: Prolegomena ⋮ Two-loop renormalization in the Standard Model. II: Renormalization procedures and computational techniques ⋮ Two-loop renormalization in the Standard Model. III: Renormalization equations and their solutions ⋮ Massive Feynman diagrams and inverse binomial sums ⋮ Two-loop tensor integrals in quantum field theory ⋮ Two-loop vertices in quantum field theory: infrared and collinear divergent configurations ⋮ FEYNMAN DIAGRAMS AND DIFFERENTIAL EQUATIONS ⋮ pySecDec: a toolbox for the numerical evaluation of multi-scale integrals ⋮ PV-reduction of sunset topology with auxiliary vector ⋮ Two-loop vertices in quantum field theory: infrared convergent scalar configurations ⋮ Collider physics at the precision frontier ⋮ Cusps in \(K\rightarrow 3\pi \) decays: a theoretical framework ⋮ Numerical contour integration for loop integrals ⋮ NNLO computational techniques: The cases \(H\rightarrow \gamma \gamma \) and \(H\rightarrow gg\) ⋮ Numerical computation of two-loop box diagrams with masses

Uses Software

• NAG
• DIANA
• nag
• FeynCalc
• FORM

Cites Work

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• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Two-loop tensor integrals in quantum field theory
• Massive two-loop integrals in renormalizable theories
• Two-loop vertices in quantum field theory: infrared convergent scalar configurations
• Evaluating double and triple (?) boxes
• A new approach to the Taylor expansion of multiloop Feynman diagrams
• All-purpose numerical evaluation of one-loop multi-leg Feynman diagrams
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• On analytic properties of vertex parts in quantum field theory
• An approach toward the numerical evaluation of multi-loop Feynman diagrams
• Algebraic-numerical evaluation of Feynman diagrams: two-loop self-energies

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