B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks

Details B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks

2001-03-19

arxiv.org/abs/hep-lat/0103020v2

Phys.Rev.D64:054504,2001

Physics

High Energy Physics

High Energy Physics - Lattice

37 pages, 16 Postscript figures; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.054504

We present a study of leptonic $B$ meson decay constants in lattice QCD with two flavors ($N_f=2$) of light dynamical quarks using NRQCD for the heavy quark. Gauge configurations are generated with a renormalization-group improved gauge action and a meanfield-improved clover light quark action. Measurements are carried out at two values of $\beta=6/g^2$, each for four sea quark masses, corresponding to the inverse lattice spacing $a^{-1}\approx 1.3$ and 1.8 GeV in the chiral limit of sea quark. The continuum values of the decay constants are derived by evaluating the discretization errors at each finite lattice spacing. We find $f_B^{N_f=2}=204(8)(29)(+44) $ MeV, $f_{B_s}^{N_f=2} = 242(9)(34)(+38)$ MeV, and $f_{B_s}^{N_f=2}/f_B^{N_f=2} = 1.179(18)(23)$, where the errors listed are statistical, systematic and uncertainty due to choice of the physical quantity used to fix the scale. Comparison is made to quenched results ($N_f=0$) obtained with the same action combination and matching lattice spacings. We find $f_B^{N_f=2}/f_B^{N_f=0}=1.07(5)$, $f_{B_s}^{N_f=2}/f_{B_s}^{N_f=0}=1.10(5)$ and $(f_{B_s}/f_B)^{N_f=2}/(f_{B_s}/f_B)^{N_f=0}=1.03(2)$, which indicates a 5--10% increase in the values of the decay constants, but no appreciable change in the ratio $f_{B_s}/f_B$, due to sea quarks.

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