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DOE OSTI · 3018671

High-precision scale setting with the Ω-baryon mass and gradient flow

Bazavov, Alexei [Michigan State University]·Bernard, Claude W. [Washington University]·Clarke, David A. [University of Utah]·DeTar, Carleton [University of Utah]·El-Khadra, Aida X. [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign]·Gámiz, Elvira [Universidad de Granada]·Gottlieb, Steven [Indiana University]·Grebe, Anthony V. [Fermi National Accelerator Laboratory; University of Maryland, College Park] (ORCID:0000000310320158)·Heller, Urs M. [American Physical Society]·Hostetler, Leon [Indiana University]·Jay, William I. [Colorado State University]·Jeong, Hwancheol [Indiana University]·Kronfeld, Andreas S. [Fermi National Accelerator Laboratory]·Lin, Yin 林胤 [Massachusetts Institute of Technology]·Lahert, Shaun [University of Utah]·Laiho, Jack [Syracuse University]·Lynch, Michael [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign]·Lytle, Andrew T. [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign]·Meyer, Aaron S. [Lawrence Livermore National Laboratory]·Neil, Ethan T. [University of Colorado, Boulder]·Peterson, Curtis T. [Michigan State University]·Simone, James N. [Fermi National Accelerator Laboratory]·Sitison, Jacob W. [University of Colorado, Boulder]·Van de Water, Ruth S. [Fermi National Accelerator Laboratory]·Vaquero, Alejandro [University of Utah; Universidad de Zaragoza; Centro de Astropartículas y Física de Altas Energías; Universidad de Zaragoza]·Wagman, Michael L. [Fermi National Accelerator Laboratory]
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Abstract

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.

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Bazavov, Alexei [Michigan State University], Bernard, Claude W. [Washington University], Clarke, David A. [University of Utah], DeTar, Carleton [University of Utah], El-Khadra, Aida X. [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign], Gámiz, Elvira [Universidad de Granada], Gottlieb, Steven [Indiana University], Grebe, Anthony V. [Fermi National Accelerator Laboratory; University of Maryland, College Park] (ORCID:0000000310320158), Heller, Urs M. [American Physical Society], Hostetler, Leon [Indiana University], Jay, William I. [Colorado State University], Jeong, Hwancheol [Indiana University], Kronfeld, Andreas S. [Fermi National Accelerator Laboratory], Lin, Yin 林胤 [Massachusetts Institute of Technology], Lahert, Shaun [University of Utah], Laiho, Jack [Syracuse University], Lynch, Michael [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign], Lytle, Andrew T. [University of Illinois Urbana-Champaign; University of Illinois Urbana-Champaign], Meyer, Aaron S. [Lawrence Livermore National Laboratory], Neil, Ethan T. [University of Colorado, Boulder], Peterson, Curtis T. [Michigan State University], Simone, James N. [Fermi National Accelerator Laboratory], Sitison, Jacob W. [University of Colorado, Boulder], Van de Water, Ruth S. [Fermi National Accelerator Laboratory], Vaquero, Alejandro [University of Utah; Universidad de Zaragoza; Centro de Astropartículas y Física de Altas Energías; Universidad de Zaragoza], Wagman, Michael L. [Fermi National Accelerator Laboratory]. 2026-03-03. High-precision scale setting with the Ω-baryon mass and gradient flow. https://doi.org/10.1103/t18c-bpqy

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