Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme

Abstract

We compute the anomalous dimensions of the flavour non-singlet twist-2 Wilson operators in the RI'/SMOM scheme at two loops in an arbitrary linear covariant gauge. In addition we provide the full Green's function for these operators inserted in a quark 2-point function at the symmetric subtraction point. The three loop anomalous dimensions in the Landau gauge are also derived.

39 latex pages, 1 figure, 23 tables, anc directory contains txt file with anomalous dimensions, conversion functions and data given in the tables of the paper

References in corpus (9)

• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Step Scaling with off-shell renormalisation
• Renormalization constants for 2-twist operators in twisted mass QCD
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

Cited by in corpus (7)

• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Renormalization of non-singlet quark operator matrix elements for off-forward hard scattering
• Moments of Nucleon Unpolarized, Polarized, and Transversity Parton Distribution Functions from Lattice QCD at the Physical Point
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• Basis transformation properties of anomalous dimensions for hard exclusive processes