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 $w_0$

Abstract

We report on a sub-percent 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 $t_{\mathrm{gf}}=1$ 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 this result is the stochastic uncertainty, providing a clear path for a few-per-mille uncertainty, as recently obtained by the Budapest-Marseille-Wuppertal Collaboration.

v3: Published version; v2: Added determination of t_0 as well as w_0; v1: 13 pages plus appendices. The correlation function data, mass results and analysis code accompanying this publication can be found at this github repository: https://github.com/callat-qcd/project_scale_setting_mdwf_hisq

References in corpus (32)

• The equation of state in (2+1)-flavor QCD
• Ab-initio Determination of Light Hadron Masses
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• The lattice gradient flow at tree-level and its improvement
• Reweighting towards the chiral limit
• The ratio FK/Fpi in QCD
• SU(2) and SU(3) chiral perturbation theory analyses on baryon masses in 2+1 flavor lattice QCD
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Hyperons in Two Flavor Chiral Perturbation Theory
• $F_K/F_{\pi }$ from Möbius domain-wall fermions solved on gradient-flowed HISQ ensembles
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Logarithmic corrections to O(a^2) lattice artifacts
• Mixed Action Effective Field Theory: an Addendum
• Finite Volume at Two-loops in Chiral Perturbation Theory
• Hyperon Axial Charges in Two-Flavor Chiral Perturbation Theory
• Strong isospin violation and chiral logarithms in the baryon spectrum
• Flavour breaking effects in the pseudoscalar meson decay constants
• METAQ: Bundle Supercomputing Tasks
• Light Quark Mass Reweighting
• Future of Chiral Extrapolations with Domain Wall Fermions