Five-loop renormalisation of QCD in covariant gauges

DOI10.1007/JHEP10(2017)179zbMath1383.81336arXiv1709.08541MaRDI QIDQ1709383

Franz Herzog, Konstantin G. Chetyrkin, J. A. M. Vermaseren, Giulio Falcioni

Publication date: 27 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08541

zbMATH Keywords

renormalization groupperturbative QCD

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (20)

Approximate four-loop QCD corrections to the Higgs-boson production cross section ⋮ The structure of generic anomalous dimensions and no-\(\pi\) theorem for massless propagators ⋮ Deciphering colour building blocks of massive multiparton amplitudes at 4-loops and beyond ⋮ Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics ⋮ Four-loop splitting functions in QCD -- the quark-quark case ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ Zimmermann's forest formula, infrared divergences and the QCD beta function ⋮ Four-loop QCD cusp anomalous dimension at small angle ⋮ The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge ⋮ The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\) ⋮ Lattice determinations of the strong coupling ⋮ Collider physics at the precision frontier ⋮ Critical exponents from five-loop scalar theory renormalization near six-dimensions ⋮ Gauge-invariant renormalization of the gluino-glue operator ⋮ Review of electron-electron interaction effects in planar Dirac liquids ⋮ Three-loop vertex integrals at symmetric point ⋮ On ambiguities and divergences in perturbative renormalization group functions ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ Building blocks of Cwebs in multiparton scattering amplitudes ⋮ 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
• Four-loop QCD propagators and vertices with one vanishing external momentum
• The four-loop QCD \(\beta\)-function and anomalous dimensions
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Results and techniques of multi-loop calculations
• Towards the five-loop beta function for a general gauge group
• Five-loop quark mass and field anomalous dimensions 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
• Complete renormalization of QCD at five loops
• The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Automatic Feynman graph generation
• Three loop \(\overline{MS}\) renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• The anomalous dimension of the composite operator \(A^2\) in the Landau gauge
• Simple approach to renormalization theory
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams

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