High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow
High Energy Physics - Lattice
2025-09-19 v1
Abstract
The gradient-flow scale in lattice QCD is determined using the mass of the baryon to set the physical scale. Nine ensembles using the highly improved staggered quark (HISQ) action with lattice spacings of 0.15 fm down to 0.04 fm are used, seven of which have nearly physical light-quark masses. Electromagnetic corrections to the mass are defined in order to compute a pure-QCD mass. The final result is fm, corresponding to a relative uncertainty of 0.40% and a central value in good agreement with previous calculations in the literature.
Keywords
Cite
@article{arxiv.2509.14367,
title = {High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow},
author = {Alexei Bazavov and Claude W. Bernard and David A. Clarke and Carleton DeTar and Aida X. El-Khadra and Elvira Gámiz and Steven Gottlieb and Anthony V. Grebe and Urs M. Heller and Leon Hostetler and William I. Jay and Hwancheol Jeong and Andreas S. Kronfeld and Yin Lin and Shaun Lahert and Jack Laiho and Michael Lynch and Andrew T. Lytle and Aaron S. Meyer and Ethan T. Neil and Curtis T. Peterson and James N. Simone and Jacob W. Sitison and Ruth S. Van de Water and Alejandro Vaquero and Michael L. Wagman},
journal= {arXiv preprint arXiv:2509.14367},
year = {2025}
}
Comments
23 pages, 8 figures