Five-loop quark mass and field anomalous dimensions for a general gauge group

DOI10.1007/JHEP01(2017)081zbMath1373.81391arXiv1612.05512MaRDI QIDQ1678883

Andreas Maier, Thomas Luthe, Peter Marquard, York Schröder

Publication date: 7 November 2017

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

Full work available at URL: https://arxiv.org/abs/1612.05512

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 (18)

The structure of generic anomalous dimensions and no-\(\pi\) theorem for massless propagators ⋮ 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 ⋮ Three loop QCD corrections to the heavy-light form factors in the color-planar limit ⋮ Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints ⋮ A note on quark and gluon energy-momentum tensors ⋮ Thermal quarkonium physics in the pseudoscalar channel ⋮ The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge ⋮ Five-loop renormalisation of QCD in covariant gauges ⋮ Collider physics at the precision frontier ⋮ Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics ⋮ Four-loop QCD propagators and vertices with one vanishing external momentum ⋮ Review of electron-electron interaction effects in planar Dirac liquids ⋮ On ambiguities and divergences in perturbative renormalization group functions ⋮ A systematic expansion of running couplings and masses ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD

Uses Software

• FORM
• Axodraw

Cites Work

• Master integrals for four-loop massless propagators up to weight twelve
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• Analytic tools for Feynman integrals
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• Axodraw.
• Beta functions and anomalous dimensions up to three loops
• Numerical evaluation of multi-loop integrals by sector decomposition
• Towards the five-loop beta function for a general gauge group
• FIESTA4: optimized Feynman integral calculations with GPU support
• Complete renormalization of QCD at five loops
• Automatic Feynman graph generation
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Analysis of PSLQ, an integer relation finding algorithm
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

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