Papers › Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the...
Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales t₀ and w₀
Nolan Miller, Logan C Carpenter, Evan Berkowitz, Chia Cheng Chang, Ben Hörz, Dean Howarth, Henry Monge-Camacho, Enrico Rinaldi, David A. Brantley, Christopher Körber, Chris Bouchard, M. A. Clark, Arjun Singh Gambhir, Christopher J. Monahan, Amy Nicholson, Pavlos Vranas, André Walker-Loud
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We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 22 ensembles of N_f=2+1+1 highly improved, rooted staggered sea-quark configurations generated by the MILC and CalLat Collaborations. The valence quark action used is M\"obius Domain-Wall fermions solved on these configurations after a gradient-flow smearing is applied with a flowtime of t_(gf)=1 in lattice units. The ensembles span four lattice spacings in the range 0.06 ≲a ≲0.15 fm, six pion masses in the range 130 ≲m_π ≲400 MeV and multiple lattice volumes. On each ensemble, the gradient-flow scales t₀/a² and w₀/a and the omega baryon mass a m_Ω are computed. The dimensionless product of these quantities is then extrapolated to the continuum and infinite volume limits and interpolated to the physical light, strange and charm quark mass point in the isospin limit, resulting in the determination of √(t₀)=0.1422(14) fm and w₀ = 0.1709(11) fm with all sources of statistical and systematic uncertainty accounted for. The dominant uncertainty in this result is the stochastic uncertainty, providing a clear path for a few-per-mille uncertainty, as recently obtained by the Budapest-Marseille-Wuppertal Collaboration.
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