Scaling and Further Tests of Heavy Meson Decay Constant Determinations from Nonrelativistic QCD

Abstract

We present results for the B_s meson decay constant f_{B_s} from simulations at three lattice spacings in the range a^{-1}=1.1 to 2.6 GeV using NRQCD heavy quarks and clover light quarks in the quenched approximation. We study scaling of this quantity and check the consistency between mesons decaying from rest and from a state with nonzero spatial momentum. The cancellation of power law contributions that arise in the NRQCD formulation of heavy-light currents is discussed. On the coarsest lattice the D_s meson decay constant f_{D_s} is calculated. Our best values for the decay constants are given by f_{B_s} = 187(4)(4)(11)(2)(7)(6) MeV and f_{D_s} = 223(6)(31)(38)(23)(9)(^{+3}_{-1}) MeV.

29 pages with 7 postscript figures, improved error analysis, version to appear in Physical Review D

References in corpus (4)

• Scaling of the B and D meson spectrum in lattice QCD
• B meson leptonic decay constant with quenched lattice NRQCD
• B decays on the lattice
• Heavy-light decay constants from clover heavy quark action in QCD with two flavors of dynamical quarks

Cited by in corpus (17)

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• The B_s and D_s decay constants in 3 flavor lattice QCD
• Heavy-light mesons with staggered light quarks
• B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks
• Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks
• One-Loop Matching of the Heavy-Light A_0 and V_0 Currents with NRQCD Heavy and Improved Naive Light Quarks
• Spin correlations and velocity-scaling in color-octet NRQCD matrix elements
• Lattice QCD matrix elements for the $B_s^0-{\bar{B}}_s^0$ width difference beyond leading order
• Heavy Quarks on the Lattice
• $B^0-{\bar{B}}^0$ mixing in quenched lattice QCD
• Semileptonic B Decays from an NRQCD/D234 Action
• Four Fermion Operator Matching with NRQCD Heavy and AsqTad Light Quarks
• Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
• Renormalization of heavy-light currents in moving NRQCD
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
• Do we understand the unquenched value of fB?
• Hadron Spectrum from Lattice QCD