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Determination of heavy quark non-perturbative parametersfrom spectral moments in semileptonic B decays
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Determination of heavy quark non-perturbative parametersfrom spectral moments in semileptonic B decays
Determination of heavy quark non-perturbative parametersfrom spectral moments in semileptonic B decays
Journal Article

Determination of heavy quark non-perturbative parametersfrom spectral moments in semileptonic B decays

2006
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Overview
Moments of the hadronic invariant mass and of the lepton energy spectra in semileptonic B decays have been determined with the data recorded by the DELPHI detector at LEP. From measurements of the inclusive b-hadron semileptonic decays, and imposing constraints from other measurements on b- and c-quark masses, the first three moments of the lepton energy distribution and of the hadronic mass distribution, have been used to determine parameters which enter into the extraction of |Vcb| from the measurement of the inclusive b-hadron semileptonic decay width. The values obtained in the kinetic scheme are:\\(\\begin{array}{*{20}l}{{m_{b} {\\left( {1\\;{\\text{GeV}}} \\right)}} \\hfill} & { = \\hfill} & {{4.591 \\pm 0.062 \\pm 0.039 \\pm 0.005\\;{\\text{GeV/c}}^{2} ,} \\hfill} \\\{{m_{c} {\\left( {1\\;{\\text{GeV}}} \\right)}} \\hfill} & { = \\hfill} & {{1.170 \\pm 0.093 \\pm 0.055 \\pm 0.005\\;{\\text{GeV/c}}^{{\\text{2}}} {\\text{,}}} \\hfill} \\\{{\\mu ^{2}_{\\pi } {\\left( {1\\;{\\text{GeV}}} \\right)}} \\hfill} & { = \\hfill} & {{0.399 \\pm 0.048 \\pm 0.034 \\pm 0.087\\;{\\text{GeV}}^{{\\text{2}}} {\\text{,}}} \\hfill} \\\{{ \\ifmmode\\expandafter\\tilde\\else\\expandafter\\~\\fi{\\rho }^{3}_{D} } \\hfill} & { = \\hfill} & {{0.053 \\pm 0.017 \\pm 0.011 \\pm 0.026\\;{\\text{GeV}}^{{\\text{3}}} ,} \\hfill} \\\\\end{array} \\)and include corrections at order 1/mb3. Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of |Vcb| is obtained: \\({\\left| {V_{{cb}} } \\right|} = 0.0421 \\times {\\left( {1 \\pm 0.014_{{{\\text{meas}}{\\text{.}}} \\pm 0.014_{{{\\text{fit}}} \\pm 0.015_{{{\\text{th}}{\\text{.}}} } \\right)}\\)

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