High-Precision Scale Setting with the Omega-Baryon Mass and Gradient Flow
Abstract
The gradient-flow scale w0 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 w0 = 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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