Renormalisation of one-link quark operators for overlap fermions with L\"uscher-Weisz gauge action

TL;DR

This paper calculates the one-loop lattice renormalisation constants for one-link quark operators using overlap fermions and L"uscher-Weisz gauge action, aiding precise hadron structure studies in lattice QCD.

Contribution

It provides the first one-loop perturbative renormalisation constants for these operators with specific lattice actions, including mean field improvement, relevant for numerical simulations.

Findings

Renormalisation constants computed for eta=8.45 and 8.0

Results include mean field (tadpole) improvement

Applicable to moments of hadron structure functions

Abstract

We compute lattice renormalisation constants of one-link quark operators ({\it i.e.} operators with one covariant derivative) for overlap fermions and L\"uscher-Weisz gauge action in one-loop perturbation theory. Among others, such operators enter the calculation of moments of polarised and unpolarised hadron structure functions. Results are given for \beta=8.45, \beta=8.0 and mass parameter \rho=1.4, which are commonly used in numerical simulations. We apply mean field (tadpole) improvement to our results.