Heavy-Quark Mass and Heavy-Meson Decay Constants from QCD Sum Rules
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 fD = 206.2 7.3 (OPE) 5.1 (syst) MeV and fDs = 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 mb(mb). Matching our sum-rule prediction for fB to the lattice findings, the very accurate b-mass value mb(mb) = 4.245 0.025 GeV is found, which yields fB = 193.4 12.3 (OPE) 4.3 (syst) MeV and fBs = 232.5 18.6 (OPE) 2.4 (syst) MeV.
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