Three loop anomalous dimension of non-singlet quark currents in the \(RI^\prime\) scheme

DOI10.1016/S0550-3213(03)00335-3zbMath1037.81597arXivhep-ph/0304113OpenAlexW3099388466MaRDI QIDQ1810382

J. A. Gracey

Publication date: 3 June 2003

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

Full work available at URL: https://arxiv.org/abs/hep-ph/0304113

zbMATH Keywords

four-loop beta functionQCD renormalizationquark two-point function

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Applications of Lie groups to the sciences; explicit representations (22E70) Renormalization group methods applied to problems in quantum field theory (81T17) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (11)

Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator ⋮ Renormalization factors of quark bilinears using the \(D_{CI}\) operator with dynamical quarks ⋮ Up, down, strange and charm quark masses with \(\mathrm{N}_{\mathrm{f}} = 2 + 1 + 1\) twisted mass lattice QCD ⋮ Bilinear quark operators in the RI/SMOM scheme at three loops ⋮ Two-point functions of quenched lattice QCD in numerical stochastic perturbation theory. I: The ghost propagator in Landau gauge ⋮ Renormalization of three-quark operators at two loops in the RI'/SMOM scheme ⋮ Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation theory. (II) The gluon propagator in Landau gauge ⋮ Three-loop anomalous dimension of the non-singlet transversity operator in QCD ⋮ Two loop renormalization of the \(n = 2\) Wilson operator in the RI'/SMOM scheme ⋮ Non-perturbative renormalization of quark bilinear operators with \(N_{f} = 2\) (tmQCD) Wilson fermions and the tree-level improved gauge action ⋮ Three loop renormalization of 3-quark operators in QCD

Uses Software

• Mincer
• FORM

Cites Work

• Renormalisation and off-shell improvement in lattice perturbation theory
• Automatic Feynman graph generation
• Renormalization

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