Perturbative renormalization of GPDs to O(a^2), for various fermion/gluon actions

TL;DR

This paper provides a detailed 1-loop perturbative calculation of fermion propagators and operator matrix elements up to O(a^2) for various lattice actions, aiding in reducing lattice artifacts in GPD studies.

Contribution

It offers explicit O(a^2) corrections for fermion propagators and bilinear operators across multiple lattice actions, enhancing renormalization precision.

Findings

Explicit O(a^2) corrections for fermion propagators and operators.

Dependence of corrections on coupling, momentum, mass, and clover parameter.

Results applicable to non-perturbative lattice QCD studies.

Abstract

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette, Tree-level Symanzik, Iwasaki, TILW, DBW2). Our results are given in a general covariant gauge, and their dependence on the coupling constant, the external momentum, the masses and the clover parameter is shown explicitly. We also study the O(a^2) corrections to matrix elements of unpolarized/polarized fermion bilinear operators, which include up to one derivative. These corrections are essential ingredients for improving, to O(a^2), the renormalization constants of the operators under study. In addition, they can be used to minimize lattice artifacts in non-perturbative studies.