Approaching the Bottom Using Fine Lattices With Domain-Wall Fermions

TL;DR

This study investigates heavy-quark properties near the bottom mass using fine lattice simulations with domain-wall fermions, analyzing decay constants and discretization effects to extrapolate to the bottom quark.

Contribution

It introduces a method to approach the bottom quark region with fine lattices and domain-wall fermions, including analysis of cutoff effects and extrapolation techniques.

Findings

Preliminary estimates for $f_{B}$ and $f_{B_s}$ decay constants.

Assessment of cutoff effects for heavy quarks above charm.

Methodology for extrapolating to the bottom quark mass.

Abstract

We explore the heavy-quark mass region above the charm mass using M\"obius domain-wall fermions on fine lattices at $a = 0.080$, $0.055$, and $0.044$ fm. We examine masses and decay constants using a series of heavy quark masses up to 3 times the charm quark. We analyze the cutoff effects for heavy quarks above the charm and account for the leading order discretization effects using ideas from HQET. We extrapolate to the bottom quark mass and report preliminary results for $f_{B}$ and $f_{B_s}$