Lattice field theory results for hybrid static potentials at short quarkantiquark separations and their parametrization
Abstract
We present SU(3) lattice YangMills data for hybrid static potentials from five ensembles with different small lattice spacings and the corresponding parametrizations for quarkantiquark 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 treelevel 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.
 Publication:

The 39th International Symposium on Lattice Field Theory,
 Pub Date:
 April 2023
 DOI:
 10.48550/arXiv.2211.00489
 arXiv:
 arXiv:2211.00489
 Bibcode:
 2023slft.confE..83S
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 10 pages, 3 figures, talk given at "The 39th International Symposium on Lattice Field Theory", 08th13th August 2022, Bonn, Germany