Heavy-Quark Masses from the Fermilab Method in Three-Flavor Lattice QCD

TL;DR

This paper presents a method to determine heavy-quark masses using Fermilab heavy quarks combined with lattice QCD calculations and perturbation theory, applied to three-flavor ensembles.

Contribution

It introduces a novel approach combining lattice QCD and perturbation theory to accurately compute heavy-quark masses in three-flavor lattice simulations.

Findings

Preliminary bottom quark mass results in the potential subtracted scheme.

Use of MILC ensembles at three lattice spacings.

Combination of heavy-strange meson masses with perturbation theory.

Abstract

We report on heavy quark mass calculations using Fermilab heavy quarks. Lattice calculations of heavy-strange meson masses are combined with one-loop (automated) lattice perturbation theory to arrive at the quark mass. Mesons are constructed from Fermilab heavy quarks and staggered light quarks. We use the MILC ensembles at three lattice spacings and sea quark mass ratios of $m_{\rm u,d} / m_{\rm s} = 0.1$ to 0.4. Preliminary results for the bottom quark are given in the potential subtracted scheme.