The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions

TL;DR

This paper presents lattice QCD calculations of the bottomonium spectrum using 2+1 flavor domain wall fermions, achieving results consistent with experimental data and providing an independent lattice spacing determination.

Contribution

First application of improved lattice NRQCD to bottomonium spectrum with 2+1 flavor domain wall fermions, demonstrating small systematic errors and accurate energy splittings.

Findings

Radial and orbital energy splittings agree with experiment

Upsilon(2S)-Upsilon(1S) energy splitting yields lattice spacing a^{-1}=1.740 GeV

Systematic errors are small in the calculations

Abstract

Recently, realistic lattice QCD calculations with 2+1 flavors of domain wall fermions and the Iwasaki gauge action have been performed by the RBC and UKQCD collaborations. Here, results for the bottomonium spectrum computed on their gauge configurations of size 24^3x64 with a lattice spacing of approximately 0.11 fm and four different values for the light quark mass are presented. Improved lattice NRQCD is used to treat the b quarks inside the bottomonium. The results for the radial and orbital energy splittings are found to be in good agreement with experimental measurements, indicating that systematic errors are small. The calculation of the Upsilon(2S)-Upsilon(1S) energy splitting provides an independent determination of the lattice spacing. For the most physical ensemble it is found to be a^{-1}=1.740(25)(19) GeV, where the first error is statistical/fitting and the second error is an estimate of the systematic errors due to the lattice NRQCD action.