Decay constants of charm and beauty pseudoscalar heavy-light mesons on fine lattices

Abstract

We compute decay constants of heavy-light mesons in quenched lattice QCD with a lattice spacing of a ~ 0.04 fm using non-perturbatively O(a) improved Wilson fermions and O(a) improved currents. We obtain fDs = 220(6)(5)(11) MeV, fD = 206(6)(3)(22) MeV, fBs = 205(7)(26)(17) MeV and fB = 190(8)(23)(25) MeV, using the Sommer parameter r0 = 0.5 fm to set the scale. The first error is statistical, the second systematic and the third from assuming a +-10% uncertainty in the experimental value of r0. A detailed discussion is given in the text. We also present results for the meson decay constants fK and fπ and the meson mass.

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