The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea

Abstract

We give results for the Upsilon spectrum from lattice QCD using an improved version of the NRQCD action for b quarks which includes radiative corrections to kinetic terms at O(v^4) in the velocity expansion. We also include for the first time the effect of up, down, strange and charm quarks in the sea using 'second generation' gluon field configurations from the MILC collaboration. Using the Υ 2S - 1S splitting to determine the lattice spacing, we are able to obtain the 1P - 1S splitting to 1.4% and the 3S - 1S splitting to 2.4%. Our improved result for M (Upsilon) - M (eta_b) is 70(9) MeV and we predict M(Upsilon) - M(eta_b') = 35(3) MeV. We also calculate pi, K and eta_s correlators using the Highly Improved Staggered Quark action and perform a chiral and continuum extrapolation to give values for M(eta_s) (0.6893(12) GeV) and f_{eta_s} (0.1819(5) GeV) that allow us to tune the strange quark mass as well as providing an independent and consistent determination of the lattice spacing. Combining the NRQCD and HISQ analyses gives mb/ms = 54.7(2.5) and a value for the heavy quark potential parameter of r_1 = 0.3209(26) fm.

38 pages, many figures

References in corpus (13)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Scaling studies of QCD with the dynamical HISQ action
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions
• Automatically generating Feynman rules for improved lattice field theories
• Unquenching effects on the coefficients of the Lüscher-Weisz action

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