# 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 $w_0$

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 $t_{\rm gf}=1$ 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 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.

## Extracting the pion-nucleon sigma term from the lattice [seminar]

Lawrence Berkeley National Lab [seminar] [PDF of slides]

## The hyperon spectrum from lattice QCD

PoS(Lattice2021) Volume 396 (2022) [arXiv:2201.01343]

## $V_{us}$ from the lattice [talk]

Los Alamos National Lab [invited talk] [PDF of slides]

## The nucleon mass and sigma term from lattice QCD [talk]

Chiral Dynamics 2021 bulletin [PDF of slides]

## lsqfit-gui

Graphical user interface for lsqfit using dash.

## Determining properties of hyperons [talk]

Lattice 2021 bulletin [PDF of slides]

## $V_{us}$ from semileptonic hyperon decays [poster]

Director’s review of the Nuclear Science Division [PDF of poster]

## Scale setting with $m_\Omega$

Python code for our scale setting analysis.

## 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 $w_0$

Phys. Rev. D 103, 054511 (2021) [arXiv:2011.12166]

## Lattice calculation of $F_K/F_\pi$ from a mixed domain-wall on HISQ action [talk]

American Physical Society bulletin [PDF of slides]

## spacetime-plots

A python noteboook for plotting points and lines, expressly written for making spacetime diagrams. To get started with a tutorial, launch the binder inst...

## $F_K/F_\pi$ from MDWF on HISQ
Python code for our $F_K/F_\pi$ analysis.