Lattice Calculation of Heavy-Light Decay Constants with Two Flavors of Dynamical Quarks

Abstract

We present results for $f_B$, $f_{B_s}$, $f_D$, $f_{D_s}$ and their ratios in the presence of two flavors of light sea quarks ($N_f=2$). We use Wilson light valence quarks and Wilson and static heavy valence quarks; the sea quarks are simulated with staggered fermions. Additional quenched simulations with nonperturbatively improved clover fermions allow us to improve our control of the continuum extrapolation. For our central values the masses of the sea quarks are not extrapolated to the physical $u$, $d$ masses; that is, the central values are "partially quenched." A calculation using "fat-link clover" valence fermions is also discussed but is not included in our final results. We find, for example, $f_B=190(7){(}_{-17}^{+24}){(}_{-2}^{+11}){(}_{-0}^{+8})$ MeV, $f_{B_s}/f_B=1.16(1)(2)(2){(}_{-0}^{+4})$, $f_{D_s}=241(5){(}_{-26}^{+27}){(}_{-4}^{+9}){(}_{-0}^{+5})$ MeV, and $f_B/f_{D_s}=0.79(2){(}_{-4}^{+5})(3){(}_{-0}^{+5})$, where in each case the first error is statistical and the remaining three are systematic: the error within the partially quenched $N_f=2$ approximation, the error due to the missing strange sea quark and to partial quenching, and an estimate of the effects of chiral logarithms at small quark mass. The last error, though quite significant in decay constant ratios, appears to be smaller than has been recently suggested by Kronfeld and Ryan, and Yamada. We emphasize, however, that as in other lattice computations to date, the lattice $u,d$ quark masses are not very light and chiral log effects may not be fully under control.

arXiv commentRevised version includes an attempt to estimate the effects of chiral logarithms at small quark mass; central values are unchanged but one more systematic error has been added. Sections III E and V D are completely new; some changes for clarity have also been made elsewhere. 82 pages; 32 figures

References in corpus (59)

• Heavy Quark Symmetry
• On the Viability of Lattice Perturbation Theory
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Non-perturbative O(a) improvement of lattice QCD
• The ratios of the light quark masses
• Massive Fermions in Lattice Gauge Theory
• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Quenched Chiral Logarithms
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Partially Quenched Gauge Theories and a Application to Staggered Fermions
• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Physical Results from Unphysical Simulations
• First Measurement of Gamma(D*+) and Precision Measurement of m_D*+ - m_D0
• Enhanced chiral logarithms in partially quenched QCD
• Quenched Chiral Perturbation Theory for Heavy-light Mesons
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$
• Extraction of the D^*Dπcoupling from D^* decays
• Chiral Logs in the Presence of Staggered Flavor Symmetry Breaking
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• Fitting Correlated Data
• Decay Constants of B and D Mesons from Non-perturbatively Improved Lattice QCD
• Chiral Perturbation Theory for SU(3) Breaking in Heavy Meson Systems
• Lattice calculation of the zero-recoil form factor of anti-B --> D* lepton anti-neutrino: toward a model independent determination of |V(cb)|
• B and D Meson Decay Constants in Lattice QCD
• Heavy Quark Physics on the Lattice
• Order a improved renormalization constants
• Lattice Determination of Heavy-Light Decay Constants
• Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
• Application of heavy-quark effective theory to lattice QCD: II. Radiative corrections to heavy-light currents
• Remark on the Theoretical Uncertainty in B^0-\bar{B}^0 Mixing
• Quenched Chiral Perturbation Theory for Heavy-Light Mesons
• First lattice QCD estimate of the g_{D^* D pi} coupling
• CLEO-c and CESR-c: A New Frontier in Weak and Strong Interactions
• Improved Measurement of the Pseudoscalar Decay Constant $f_{D_s}$
• B meson B-parameters and the decay constant in two-flavor dynamical QCD
• Decay constants of B and D mesons from improved relativistic lattice QCD with two flavours of sea quarks
• Investigating and Optimizing the Chiral Properties of Lattice Fermion Actions
• Tadpole-Improved Perturbation Theory for Heavy-Light Lattice Operators
• Perturbation Theory for Fat-link Fermion Actions
• Second Order Perturbation Theory for Improved Gluon and Staggered Quark Actions
• Mixing of B mesons and Decay Constants with the Non-Perturbatively Improved Action
• Scaling and Eigenmode Tests of the Improved Fat Clover Action
• Perturbative Renormalization Factors of Bilinear Operators for Massive Wilson Quarks on the Lattice
• Simple Hadronic Matrix Elements with Wilson Valence Quarks and Dynamical Staggered Fermions at $6/{\mathbf{g}}^2=5.6$
• f_B for Various Actions : Approaching the Continuum Limit with Dynamical Fermions
• Variational calculation of heavy-light meson properties
• Effects of spatial size, lattice doubling and source operator on the hadron spectrum with dynamical staggered quarks
• The (LATTICE) QCD Potential and Running Coupling: How to Accurately Interpolate between Multi-Loop QCD and the String Picture
• Hopping Parameter Expansion for Heavy-Light Systems
• Heavy-light decay constants with three dynamical flavors
• Heavy-Light Wavefunctions in Lattice QCD
• Preliminary heavy-light decay constants from the MILC collaboration
• Heavy-Light Decay Constants: Conclusions from the Wilson Action
• A calculation of the Lepage-Mackenzie scale for the lattice axial and vector currents
• Quenched Staggered Spectrum at Beta=6.0, 6.2 and 6.4
• Heavy-light decay constants---MILC results with the Wilson action
• Update on $f_B$
• Heavy-Light Decay Constants from Wilson and Static Quarks
• $f_B$ quenched and unquenched

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