Symmetric point flavour singlet axial vector current renormalization at two loops

Abstract

We calculate the two loop correction to the quark 2-point function with the non-zero momentum insertion of the flavour singlet axial vector current at the fully symmetric subtraction point for massless quarks in the modified minimal subtraction (MSbar) scheme. The Larin method is used to handle ${\gamma }^5$ within dimensional regularization at this loop order ensuring that the effect of the chiral anomaly is properly included within the construction.

18 latex pages, 10 figures, anc directory contains txt file with electronic version of the MSbar Green's function for the flavour singlet axial vector current, additional text and references added

References in corpus (12)

• The nucleon spin and momentum decomposition using lattice QCD simulations
• Glue spin and helicity in proton from lattice QCD
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Gauge coupling beta functions to four-loop order in the Standard Model
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears
• RI'/SMOM scheme amplitudes for quark currents at two loops
• A novel approach to nonperturbative renormalization of singlet and nonsinglet lattice operators
• Fermion Traces Without Evanescence
• Off-shell quark bilinear operator Green's functions at two loops

Cited by in corpus (1)

• Bilinear quark operators in the RI/SMOM scheme at three loops