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Heavy-Quark Mass and Heavy-Meson Decay Constants from QCD Sum Rules · arXivDesk

1011.3372Nov 15, 2010talk presented at "Quark Confinement and the Hadron Spectrum IX - QCHS IX" (30 August - 3 September 2010, Madrid, Spain), to appear in the proceedings; version 2: minor, purely cosmetic changes, 1 reference added

Heavy-Quark Mass and Heavy-Meson Decay Constants from QCD Sum Rules

Wolfgang Lucha, Dmitri Melikhov, Silvano Simula

Phenomenology Experiment Lattice Nuclear Theory

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Abstract

We present a sum-rule extraction of heavy-meson decay constants from the two-point correlator of heavy-light pseudoscalar currents. Our main concern is to control the uncertainties of the decay constants, induced by both input QCD parameters and limited accuracy of the sum-rule method. Gaining this control is possible by applying our novel procedure for the extraction of hadron observables utilizing Borel-parameter-depending dual thresholds. For the charmed mesons, we obtain f_D = 206.2 ± 7.3 (OPE) ± 5.1 (syst) MeV and f_D_s = 245.3 ± 15.7 (OPE) ± 4.5 (syst) MeV. For the beauty mesons, the decay constants prove to be extremely sensitive to the exact value of the b-quark MS-bar mass m_b(m_b). Matching our sum-rule prediction for f_B to the lattice findings, the very accurate b-mass value m_b(m_b) = 4.245 ± 0.025 GeV is found, which yields f_B = 193.4 ± 12.3 (OPE) ± 4.3 (syst) MeV and f_B_s = 232.5 ± 18.6 (OPE) ± 2.4 (syst) MeV.

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