Bottom spectroscopy on dynamical 2+1 flavor domain wall fermion lattices with a relativistic heavy quark action

TL;DR

This study applies the relativistic heavy quark action to bottom quark systems on lattice configurations, predicting the bottomonium spectrum and analyzing systematic errors, extending previous charm quark results.

Contribution

It demonstrates the effectiveness of the RHQ action for bottom quarks on dynamical 2+1 flavor lattices, providing spectrum predictions and error analysis.

Findings

Predicted bottomonium masses agree with experimental data

Systematic errors estimated to be within acceptable range

Validated RHQ action for larger heavy quark momenta

Abstract

Following the successful application of the relativistic heavy quark(RHQ) action to the charmonium and charm-strange meson spectrum, we study here the bottom system to explore the validity of this method in a regime with larger heavy quark momenta. The spectrum is calculated using the same dynamical 2+1 flavor, $24^3\times 64$ domain wall fermion lattice configurations generated by the RBC and UKQCD collaborations and used in the earlier charm study. The 3 parameters in the RHQ action are determined by matching to the experimental bottom-strange meson masses and extrapolated to the chiral limit from three different sea quark masses. We predict the bottomonium mass spectrum and compare it with experiment. A theoretical estimation is also carried out to understand the $O(a^2p^2)$ systematic errors found in the numerical study.