Zimmermann's forest formula, infrared divergences and the QCD beta function

DOI10.1016/j.nuclphysb.2017.11.011zbMath1380.81229arXiv1711.06121OpenAlexW2770824581MaRDI QIDQ1695941

Franz Herzog

Publication date: 14 February 2018

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

Full work available at URL: https://arxiv.org/abs/1711.06121

Mathematics Subject Classification ID

Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

Related Items (3)

Local unitarity: cutting raised propagators and localising renormalisation ⋮ Collider physics at the precision frontier ⋮ Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD

Uses Software

• FORM
• Forcer

Cites Work

• FORM version 4.0
• The \(R^{\ast}\)-operation for Feynman graphs with generic numerators
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• Convergence theorems for renormalized Feynman integrals with zero-mass propagators
• On the Hopf algebra strucutre of perturbative quantum field theories
• Towards the five-loop beta function for a general gauge group
• Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
• The five-loop beta function of Yang-Mills theory with fermions
• The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Five-loop renormalisation of QCD in covariant gauges
• Feynman amplitudes, coaction principle, and cosmic Galois group
• Automatic Feynman graph generation
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Convergence of Bogoliubov's method of renormalization in momentum space
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• Mass Singularities of Feynman Amplitudes
• \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams

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