The structure of generic anomalous dimensions and no-\(\pi\) theorem for massless propagators

DOI10.1007/JHEP06(2018)141zbMath1395.81170arXiv1804.10088MaRDI QIDQ1671930

Konstantin G. Chetyrkin, P. A. Baikov

Publication date: 7 September 2018

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

Full work available at URL: https://arxiv.org/abs/1804.10088

zbMATH Keywords

renormalization groupperturbative QCD

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Anomalies in quantum field theory (81T50) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (4)

Protected and uniformly transcendental ⋮ Four-loop splitting functions in QCD -- the quark-quark case ⋮ Some Open Problems on Feynman Periods ⋮ Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops

Uses Software

• Mathematica
• FORM
• SummerTime

Cites Work

• Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model
• Master integrals for four-loop massless propagators up to weight twelve
• The multiple zeta value data mine
• Four loop massless propagators: an algebraic evaluation of all master integrals
• Four-loop QCD propagators and vertices with one vanishing external momentum
• The four-loop QCD \(\beta\)-function and anomalous dimensions
• Five-loop quark mass and field anomalous dimensions for a general gauge group
• Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method
• 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
• Multiple Zeta Values and Modular Forms in Quantum Field Theory

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