Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action

Abstract

We compute lattice renormalisation constants of one-link quark operators ({\it i.e.} operators with one covariant derivative) for overlap fermions and Lüscher-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.

Comments: 13 pages, 1 figure