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@ARTICLE{Miller:894473,
      author       = {Miller, Nolan and Carpenter, Logan and Berkowitz, Evan and
                      Chang, Chia Cheng and Hörz, Ben and Howarth, Dean and
                      Monge-Camacho, Henry and Rinaldi, Enrico and Brantley, David
                      A. and Körber, Christopher and Bouchard, Chris and Clark,
                      M. A. and Gambhir, Arjun Singh and Monahan, Christopher J.
                      and Nicholson, Amy and Vranas, Pavlos and Walker-Loud,
                      André},
      title        = {{S}cale setting the {M}öbius domain wall fermion on
                      gradient-flowed {HISQ} action using the omega baryon mass
                      and the gradient-flow scales t 0 and w 0},
      journal      = {Physical review / D},
      volume       = {103},
      number       = {5},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2021-03248},
      pages        = {054511},
      year         = {2021},
      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.},
      cin          = {IAS-4 / JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511)},
      pid          = {G:(DE-HGF)POF4-5111},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000648544100006},
      doi          = {10.1103/PhysRevD.103.054511},
      url          = {https://juser.fz-juelich.de/record/894473},
}