Heavy--light decay constants in the continuum limit of quenched lattice QCD

Details Heavy--light decay constants in the continuum limit of quenched lattice QCD Heavy--light decay constants in the continuum limit of quenched lattice QCD

2003-07-03

arxiv.org/abs/hep-lat/0307005v2

Nucl.Phys. B672 (2003) 372-386

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 8 figures, revised version accepted for pubblication in Nucl. Phys. B

Scientific paper

We compute the decay constants for the heavy--light pseudoscalar mesons in the quenched approximation and continuum limit of lattice QCD. Within the Schrodinger Functional framework, we make use of the step scaling method, which has been previously introduced in order to deal with the two scale problem represented by the coexistence of a light and a heavy quark. The continuum extrapolation gives us a value $f_{B_s} = 192(6)(4)$ MeV for the $B_s$ meson decay constant and $f_{D_s} = 240(5)(5)$ MeV for the $D_s$ meson.

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