Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD

Details Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD Computation of the Heavy-Light Decay Constant using Non-relativistic Lattice QCD

1994-03-31

arxiv.org/abs/hep-lat/9403028v1

Phys.Rev. D50 (1994) 4639-4648

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages in LaTeX including 10 figures using epsf.sty, uuencoded-gziped-shar format, HUPD-9403

Scientific paper

10.1103/PhysRevD.50.4639

We report results on a lattice calculation of the heavy-light meson decay constant employing the non-relativistic QCD approach for heavy quark and Wilson action for light quark. Simulations are carried out at $\beta=6.0$ on a $16^3\times 48$ lattice. Signal to noise ratio for the ground state is significantly improved compared to simulations in the static approximation, enabling us to extract the decay constant reliably. We compute the heavy-light decay constant for several values of heavy quark mass and estimate the magnitude of the deviation from the heavy mass scaling law $f_{P} \sqrt{m_{P}} = const$. For the $B$ meson we find $f_{B} = 171\pm 22^{+19}_{-45}$ MeV, while an extrapolation to the static limit yields $f_{B}^{static}$ = $297\pm 36^{+15}_{-30}$ MeV.

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