# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

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

Aug 9, 2022, 5:30 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Carolin Schlosser (Goethe Universität Frankfurt am Main)

### Description

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 at leading order in $a^2$ as well as the $a$-dependent self-energy. In particular the tree-level improvement of static potentials is discussed in detail and two approaches are compared. The resulting parametrizations are expected to represent continuum results for hybrid static potentials within statistical errors.

### Primary author

Carolin Schlosser (Goethe Universität Frankfurt am Main)

### Co-authors

Marc Wagner (Goethe University Frankfurt) Sonja Köhler (Goethe University Frankfurt)