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author Bazavov, Alexei
Bernard, Claude W.
Clarke, David A.
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Heller, Urs M.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lin, Yin
Lahert, Shaun
Laiho, Jack
Lynch, Michael
Lytle, Andrew T.
Meyer, Aaron S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
Wagman, Michael L.
author_facet Bazavov, Alexei
Bernard, Claude W.
Clarke, David A.
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Heller, Urs M.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lin, Yin
Lahert, Shaun
Laiho, Jack
Lynch, Michael
Lytle, Andrew T.
Meyer, Aaron S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
Wagman, Michael L.
contents The gradient-flow scale $w_0$ in lattice QCD is determined using the mass of the $Ω^-$ 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 $Ω^-$ mass are defined in order to compute a pure-QCD $Ω$ mass. The final result is $w_0 = 0.17187(68)$ fm, corresponding to a relative uncertainty of 0.40% and a central value in good agreement with previous calculations in the literature.
format Preprint
id arxiv_https___arxiv_org_abs_2509_14367
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow
Bazavov, Alexei
Bernard, Claude W.
Clarke, David A.
DeTar, Carleton
El-Khadra, Aida X.
Gámiz, Elvira
Gottlieb, Steven
Grebe, Anthony V.
Heller, Urs M.
Hostetler, Leon
Jay, William I.
Jeong, Hwancheol
Kronfeld, Andreas S.
Lin, Yin
Lahert, Shaun
Laiho, Jack
Lynch, Michael
Lytle, Andrew T.
Meyer, Aaron S.
Neil, Ethan T.
Peterson, Curtis T.
Simone, James N.
Sitison, Jacob W.
Van de Water, Ruth S.
Vaquero, Alejandro
Wagman, Michael L.
High Energy Physics - Lattice
The gradient-flow scale $w_0$ in lattice QCD is determined using the mass of the $Ω^-$ 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 $Ω^-$ mass are defined in order to compute a pure-QCD $Ω$ mass. The final result is $w_0 = 0.17187(68)$ fm, corresponding to a relative uncertainty of 0.40% and a central value in good agreement with previous calculations in the literature.
title High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2509.14367