Lattice field theory results for hybrid static potentials at short quark-antiquark separations and their parametrization

TL;DR

This paper provides lattice QCD data for hybrid static potentials at short quark-antiquark distances, offering parametrizations that account for discretization errors and aim to approximate continuum results.

Contribution

The study introduces detailed lattice data and improved parametrizations for hybrid static potentials at short distances, including methods to reduce discretization errors.

Findings

Discretization errors are effectively removed at tree level and partly at order a^2.

Parametrizations match continuum limit results within statistical errors.

Comparison of two tree-level improvement methods enhances understanding of systematic uncertainties.

Abstract

We present SU(3) lattice Yang-Mills data for hybrid static potentials from five ensembles with different small lattice spacings and the corresponding parametrizations for quark-antiquark separations $0.08\,\text{fm} \le r \le 1.12\,\text{fm}$. We remove lattice discretization errors at tree level of perturbation theory and partly at order $a^2$ as well as the $a$-dependent self energy. In particular the tree-level improvement of static potentials is discussed in detail and two methods are compared. The resulting parametrizations are expected to represent continuum limit results for hybrid static potentials within statistical errors.