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28 March 2024
 
  » arxiv » 1112.3051

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B- and D-meson decay constants from three-flavor lattice QCD
A. Bazavov ; C. Bernard ; C. M. Bouchard ; C. DeTar ; M. Di Pierro ; A. X. El-Khadra ; R. T. Evans ; E. D. Freeland ; E. Gamiz ; Steven Gottlieb ; U. M. Heller ; J. E. Hetrick ; R. Jain ; A. S. Kronfeld ; J. Laiho ; L. Levkova ; P. B. Mackenzie ; E. T. Neil ; M. B. Oktay ; J. N. Simone ; R. Sugar ; D. Toussaint ; R. S. Van de Water ;
Date 13 Dec 2011
AbstractWe calculate the leptonic decay constants of B_{(s)} and D_{(s)} mesons in lattice QCD using staggered light quarks and Fermilab bottom and charm quarks. We compute the heavy-light meson correlation functions on the MILC asqtad-improved staggered gauge configurations which include the effects of three light dynamical sea quarks. We simulate with several values of the light valence- and sea-quark masses (down to ~m_s/10) and at three lattice spacings (a ~ 0.15, 0.12, and 0.09 fm) and extrapolate to the physical up and down quark masses and the continuum using expressions derived in heavy-light meson staggered chiral perturbation theory. We renormalize the heavy-light axial current using a mostly nonperturbative method such that only a small correction to unity must be computed in lattice perturbation theory and higher-order terms are expected to be small. We obtain f_{B^+} = 196.9(8.9) MeV, f_{B_s} = 242.0(9.5) MeV, f_{D^+} = 218.9(11.3) MeV, f_{D_s} = 260.1(10.8) MeV, and the SU(3) flavor-breaking ratios f_{B_s}/f_{B} = 1.229(26) and f_{D_s}/f_{D} = 1.188(25), where the numbers in parentheses are the total statistical and systematic uncertainties added in quadrature.
Source arXiv, 1112.3051
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