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

Miller, N. et al. (2021) 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. Physical Review D, 103(5), 054511. (doi: 10.1103/PhysRevD.103.054511)

Abstract

We report on a subpercent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed on 22 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 Möbius 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≲0.15fm, six pion masses in the range 130≲mπ≲400MeV and multiple lattice volumes. On each ensemble, the gradient-flow scales t0/a2 and w0/a and the omega baryon mass amΩ 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 both results is the stochastic uncertainty, though for √t0 there are comparable continuum extrapolation uncertainties. For w0, there is a clear path for a few-per-mille uncertainty just through improved stochastic precision, as recently obtained by the Budapest-Marseille-Wuppertal Collaboration.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bouchard, Dr Chris
• Authors: Miller, N., Carpenter, L., Berkowitz, E., Chang, C. C., Hörz, B., Howarth, D., Monge-Camacho, H., Rinaldi, E., Brantley, D. A., Körber, C., Bouchard, C., Clark, M.A., Singh Gambhir, A., Monahan, C. J., Nicholson, A., Vranas, P., and Walker-Loud, A.
• Subjects: Q Science > QC Physics
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physical Review D
• Publisher: American Physical Society
• ISSN: 2470-0010
• ISSN (Online): 2470-0029
• Published Online: 24 March 2021
• Copyright Holders: Copyright © 2021 American Physical Society
• First Published: First published in Physical Review D 103(5): 054511
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
304309		Nucleon Physics from Lattice QCD	Christopher Bouchard	Science and Technology Facilities Council (STFC)	ST/S005781/1	P&S - Physics & Astronomy