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

TL;DR

This paper calculates the two-loop anomalous dimensions of the n=2 Wilson operator in the RI'/SMOM scheme, providing detailed Green's functions and extending results to three loops in Landau gauge, advancing precision in quantum chromodynamics calculations.

Contribution

It presents the first two-loop anomalous dimensions of the n=2 Wilson operator in the RI'/SMOM scheme and supplies the full Green's function at the symmetric point.

Findings

Two-loop anomalous dimensions computed in arbitrary gauge.

Full Green's function provided at the symmetric subtraction point.

Three-loop anomalous dimensions derived in Landau gauge.

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.