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Title Scale setting the Mobius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scale $omega_0$
Authors Nolan Miller, Logan Carpenter, Evan Berkowitz, Chia Cheng Chang, Ben Horz, Dean Howarth, Henry Monge-Camacho, Enrico Rinaldi, David Brantley, Christopher Korber, C. Bouchard, M. Clark, Arjun Singh Gambhir, Amy Nicholson, Pavlos Vranas, Andre Walker-Loud
JLAB number JLAB-THY-20-3290
LANL number arXiv:2011.12166
Other number DOE/OR/23177-5083
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 103
Page(s) 054511
Refereed
Publication Abstract: We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 21 ensembles of Nf = 2 + 1 + 1 highly improved, rooted staggered sea-quark configurations generated by the MILC and CalLat Collaborations. The valence quark action used is Mo?bius Domain-Wall fermions solved on these configurations after a gradient- flow smearing is applied with a flowtime of tgf = 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? . 400 MeV and multiple lattice volumes. On each ensemble, the gradient-flow scale w0 /a and the omega baryon mass am? 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 w0 = 0.1706(12) fm with all sources of statistical and systematic uncertainty accounted for. The dominant uncertainty in this result, which is consistent with all other recent determinations, is the stochastic uncertainty, providing a clear path for a few-per-mille uncertainty as recently obtained by the BMWc Collaboration.
Experiment Numbers: other
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.103.054511
Accepted Manuscript: PhysRevD.103.054511.pdf
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