RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

TL;DR

This paper calculates one-loop amplitudes for specific deep inelastic scattering operators in QCD within the RI'/SMOM scheme, aiding lattice QCD computations of moments n=2 and 3.

Contribution

It provides the first detailed one-loop amplitude calculations for twist-2 operators in the RI'/SMOM scheme relevant to deep inelastic scattering.

Findings

Amplitudes for n=2 and 3 operators are computed.

Results facilitate lattice QCD calculations of structure functions.

Enhances understanding of operator renormalization in QCD.

Abstract

We compute the amplitudes for the insertion of various operators in a quark 2-point function at one loop in the RI' symmetric momentum scheme, RI'/SMOM. Specifically we focus on the moments n = 2 and 3 of the flavour non-singlet twist-2 operators used in deep inelastic scattering as these are required for lattice computations.