Heavy-Light Meson Decay Constant from QCD Sum Rules in Three-Loop Approximation

Abstract

In this paper we compute the decay constant of the pseudo-scalar heavy-light mesons in the heavy quark effective theory framework of QCD sum rules. In our analysis we include the recently evaluated three-loop result of order ${\alpha }_s^2$ for the heavy-light current correlator. The value of the bottom quark mass, which essentially limits the accuracy of the sum rules for $B$ meson, is extracted from the nonrelativistic sum rules for ${\rm Y}$ resonances in the next-to-next-to-leading approximation. We find stability of our result with respect to all types of corrections and the specific form of the sum rule which reduces the uncertainty. Our results $f_B=206\pm 20$ MeV and $f_D=195\pm 20$ MeV for the $B$ and $D$ meson decay constants are in impressive agreement with recent lattice calculations.

minor editorial changes, references added, to appear in PRD

References in corpus (4)

• Three-loop non-diagonal current correlators in QCD and NLO corrections to single-top-quark production
• Heavy-light current correlators at order ${\alpha }_s^2$ in QCD and HQET
• B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks
• Measurement of the Branching Ratio for D_s->tau nu_tau Decays

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