Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Abstract

We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in QCD, determined using the off-shell Ward-Takahashi identity for an axial current with a non-anticommuting ${\gamma }_5$. A possible application of the result for the singlet axial current operator is the extraction of the non-decoupling mass logarithms in the axial quark form factors.

arXiv commentmatched with the published version in JHEP

References in corpus (22)

• The renormalization of the axial anomaly in dimensional regularization
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Facts of life with gamma(5)
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• Polarized Structure Functions in QCD
• The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
• The alpha_s^3 correction to Gamma (Z^0 -> hadrons)
• The ${\alpha }_s^3$ Corrections to the Effective Neutral Current and to the Z Decay Rate in the Heavy Top Quark Limit
• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• Two-loop operator matrix elements calculated up to finite terms for polarized deep inelastic lepton-hadron scattering
• Towards the NNLO evolution of polarised parton distributions
• Pseudo-scalar Form Factors at Three Loops in QCD
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• OPE of the pseudoscalar gluonium correlator in massless QCD to three-loop order
• Explicit Calculation of the Renormalized Singlet Axial Anomaly
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization
• Fermion Traces Without Evanescence
• Renormalization of the topological charge density in QCD with dimensional regularization

Cited by in corpus (5)

• An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting ${\gamma }_5$
• Massive three-loop form factors: anomaly contribution
• A Procedure g5anchor to Anchor ${\gamma }_5$ in Feynman Diagrams for the Standard Model
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• The $\overline{\mathrm{MS}}$ renormalization constant of the singlet axial current operator at $\mathcal{O}({\alpha }_s^5)$ in QCD