Dirac b quark on the lattice

TL;DR

This paper introduces a novel lattice QCD approach treating b, c, and s quarks as Dirac fermions with exact chiral symmetry, computing meson spectra and decay constants on a high-resolution lattice.

Contribution

It is the first study to treat heavy quarks as Dirac fermions with exact chiral symmetry in lattice QCD, providing new insights into meson properties and quark masses.

Findings

Computed meson mass spectra for b, c, s quarks.

Measured pseudoscalar decay constants.

Determined b and c quark masses.

Abstract

We perform the first study of treating b, c, and s quarks as Dirac fermions in lattice QCD with exact chiral symmetry. On a 32^3 60 lattice with 1/a ~ 7.68 GeV, we compute point-to-point quark propagators, and measure the time-correlation functions for mesons with quark contents b_bbar, c_bbar, s_bbar, and c_cbar. The lowest-lying meson mass spectra, the pseudoscalar decay constants, and the b and c quark masses are determined.