Scale setting the Möbius domain wall fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>t</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>w</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>
نویسندگان
چکیده
We report on a sub-percent scale determination using the omega baryon mass and gradient-flow methods. The calculations are performed 22 ensembles of $N_f=2+1+1$ highly improved, rooted staggered sea-quark configurations generated by MILC CalLat Collaborations. valence quark action used is M\"obius Domain-Wall fermions solved these after smearing applied with flowtime $t_{\rm gf}=1$ in lattice units. span four spacings range $0.06 \lesssim 0.15$ fm, six pion masses $130 m_\pi 400$ MeV multiple volumes. On each ensemble, scales $t_0/a^2$ $w_0/a$ $a m_\Omega$ computed. dimensionless product quantities then extrapolated to continuum infinite volume limits interpolated physical light, strange charm point isospin limit, resulting $\sqrt{t_0}=0.1422(14)$ fm $w_0 = 0.1709(11)$ all sources statistical systematic uncertainty accounted for. dominant this result stochastic uncertainty, providing clear path for few-per-mille as recently obtained Budapest-Marseille-Wuppertal Collaboration.
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['2470-0037', '2470-0010', '2470-0029']
DOI: https://doi.org/10.1103/physrevd.103.054511