Journal Article

FZJ-2021-03248

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Scale setting the Möbius domain wall fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales t 0 and w 0

Miller, N. ; Carpenter, L. ; Berkowitz, E. (Corresponding author)FZJ* ; Chang, C. C. ; Hörz, B. ; Howarth, D. ; Monge-Camacho, H. ; Rinaldi, E. ; Brantley, D. A. ; Körber, C. ; Bouchard, C. ; Clark, M. A. ; Gambhir, A. S. ; Monahan, C. J. ; Nicholson, A. ; Vranas, P. ; Walker-Loud, A.

2021
Inst. Melville, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/28512  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 $N_f=2+1+1$ highly improved, rooted staggered sea-quark configurations generated by the MILC and CalLat Collaborations. The valence quark action used is Möbius domain wall fermions solved on these configurations after a gradient-flow smearing is applied with a flowtime of $t_{\rm gf}=1$ in lattice units. The ensembles span four lattice spacings in the range $0.06 \lesssim a \lesssim 0.15$ fm, six pion masses in the range $130 \lesssim m_\pi \lesssim 400$ MeV and multiple lattice volumes. On each ensemble, the gradient-flow scales $t_0/a^2$ and $w_0/a$ and the omega baryon mass $a m_\Omega$ 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 $\sqrt{t_0}=0.1422(14)$ fm and $w_0 = 0.1709(11)$ fm with all sources of statistical and systematic uncertainty accounted for. The dominant uncertainty in both results is the stochastic uncertainty, though for $\sqrt{t_0}$ there are comparable continuum extrapolation uncertainties. For $w_0$, 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.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2021

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Database coverage:
; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

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