Perturbative determination of $c_{SW}$ for plaquette and Symanzik gauge action and stout link clover fermions

TL;DR

This paper calculates the one-loop perturbative improvement coefficient $c_{SW}$ and related parameters for specific lattice gauge actions and fermions, enhancing precision in lattice QCD simulations.

Contribution

It provides the first one-loop perturbative determination of $c_{SW}$ for plaquette and Symanzik gauge actions with stout link clover fermions, including mean field improvements.

Findings

Calculated $c_{SW}$ for specified actions and fermions.

Derived coefficients for quark field improvement.

Presented one-loop results for $\kappa_c$.

Abstract

Using plaquette and Symanzik improved gauge action and stout link clover fermions we determine the improvement coefficient $c_{SW}$ in one-loop lattice perturbation theory from the off-shell quark-quark-gluon three-point function. In addition, we compute the coefficients needed for the most general form of quark field improvement and present the one-loop result for the critical hopping parameter $\kappa_c$. We discuss mean field improvement for $c_{SW}$ and $\kappa_c$ and the choice of the mean field coupling for the actions we have considered.