The diamond rule for multi-loop Feynman diagrams

DOI10.1016/j.physletb.2015.05.015zbMath1343.81104arXiv1504.08258OpenAlexW1483197483MaRDI QIDQ307509

Mohammad Hasan, M. Dambrine

Publication date: 1 September 2016

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

Full work available at URL: https://arxiv.org/abs/1504.08258

zbMATH Keywords

Feynman integralsintegration by parts identities

Mathematics Subject Classification ID

Feynman diagrams (81T18) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Related Items (9)

\textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams ⋮ The propagator seagull: general evaluation of a two loop diagram ⋮ The five-loop beta function of Yang-Mills theory with fermions ⋮ Recursion-free solution for two-loop vacuum integrals with ``collinear masses ⋮ Feynman integral relations from parametric annihilators ⋮ Large-\(n_{f}\) contributions to the four-loop splitting functions in QCD ⋮ The \(R^{\ast}\)-operation for Feynman graphs with generic numerators ⋮ Four-loop QCD propagators and vertices with one vanishing external momentum ⋮ Baikov-Lee representations of cut Feynman integrals

Uses Software

• Mincer
• FORM
• Reduze
• FIRE
• LiteRed
• FIRE5
• AIR

Cites Work

• FIRE5: a C++ implementation of Feynman integral REduction
• FIRE4, LiteRed and accompanying tools to solve integration by parts relations
• Algorithm FIRE-Feynman integral reduction
• \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS

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