Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme

摘要

The renormalization of the third moment of the twist-2 flavour non-singletWilson operator is given to two loops in the RI'/SMOM renormalization scheme.This involves renormalizing the operator itself and the two total derivativeoperators into which it mixes by inserting it into a quark 2-point function andevaluating the amplitudes at the symmetric subtraction point. The correspondingtwo loop conversion functions are derived from which the three loop Landaugauge anomalous dimension is deduced. The full set of amplitudes for the twoloop Green's function for each of the operators are given in both the MSbar andRI'/SMOM schemes.