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.

arXiv comment39 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

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• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• 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
• Bilinear quark operator renormalization at generalized symmetric point
• Three-loop vertex integrals at symmetric point
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
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