Complete renormalization of QCD at five loops

DOI10.1007/JHEP03(2017)020zbMath1377.81237arXiv1701.07068MaRDI QIDQ1692903

Thomas Luthe, Peter Marquard, Andreas Maier, York Schröder

Publication date: 10 January 2018

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

Full work available at URL: https://arxiv.org/abs/1701.07068

zbMATH Keywords

renormalization groupperturbative QCD

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (17)

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 first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ FMFT: fully massive four-loop tadpoles ⋮ \texttt{AMFlow}: a Mathematica package for Feynman integrals computation via auxiliary mass flow ⋮ Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints ⋮ Factorial growth at low orders in perturbative QCD: control over truncation uncertainties ⋮ 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 ⋮ Critical exponents from five-loop scalar theory renormalization near six-dimensions ⋮ Gauge-invariant renormalization of the gluino-glue operator ⋮ Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics ⋮ Four-loop QCD propagators and vertices with one vanishing external momentum ⋮ Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants ⋮ Review of electron-electron interaction effects in planar Dirac liquids ⋮ Five loop minimal MOM scheme field and quark mass anomalous dimensions in QCD

Uses Software

• GiNaC
• FORM
• Forcer

Cites Work

• Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model
• FORM version 4.0
• Four loop massless propagators: an algebraic evaluation of all master integrals
• Analytic tools for Feynman integrals
• The four-loop QCD \(\beta\)-function and anomalous dimensions
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Beta functions and anomalous dimensions up to three loops
• Numerical evaluation of multi-loop integrals by sector decomposition
• Automatic reduction of four-loop bubbles
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• Towards the five-loop beta function for a general gauge group
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• FIESTA4: optimized Feynman integral calculations with GPU support
• 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
• Automatic Feynman graph generation
• High-precision \(\epsilon\)-expansions of massive four-loop vacuum bubbles
• 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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