Properties of B-Mesons in Lattice QCD

TL;DR

This study uses lattice QCD in the static quark limit to analyze B-meson properties, providing continuum results for mass splittings and decay constants with detailed error estimates, advancing understanding of heavy meson physics.

Contribution

It introduces a multistate smearing method with relativistic quark model-generated functions for more accurate B-meson property calculations in lattice QCD.

Findings

Mass splitting M_{B_s}- M_{B_u} = 86 +/- 12 MeV

Decay constant ratio f_{B_s}/f_{B_u} = 1.22 +/- 0.04

B-meson decay constant f_{B} = 188 +/- 23 MeV

Abstract

The results of an extensive study of B-meson properties in quenched lattice QCD are presented. The studies are carried out in the static quark limit where the b-quark is taken to be infinitely massive. Our computations rely on a multistate smearing method introduced previously, with smearing functions generated from a relativistic lattice quark model. Systematic errors arising from excited state contamination, finite volume effects, and the chiral extrapolation for the light quarks are estimated. We obtain continuum results for the mass splitting M_{B_s}- M_{B_u} = 86 (+/-)12(stat) {+7/-9}(syst) MeV, the ratio of decay constants f_{B_s}/f_{B_u} = 1.22 (+/-)0.04(stat) (+/-)0.02 (syst). For the B-meson decay constant we separately exhibit the sizable uncertainties in the extrapolation to the continuum limit a -> 0 and higher order perturbative matching. We obtain f_{B} = 188 (+/-)23(stat) (+/-)15(syst) {+26/-0}(extrap) (+/-)14 (pert) MeV. ----- [Postscript version of paper available by anonymous ftp at fncrd6.fnal.gov. The file is fb.ps in subdirectory theory.]