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

  • The DELPHI Collaboration
Experimental Physics

Abstract.

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 |V cb | 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/m b 3. Using these results, and present measurements of the inclusive semileptonic decay partial width of b-hadrons at LEP, an accurate determination of |V cb | is obtained: \({\left| {V_{{cb}} } \right|} = 0.0421 \times {\left( {1 \pm 0.014_{{{\text{meas}}{\text{.}}}} \pm 0.014_{{{\text{fit}}}} \pm 0.015_{{{\text{th}}{\text{.}}}} } \right)}\)

Keywords

Mass Distribution Invariant Mass Heavy Quark Decay Width Particle Acceleration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin/Heidelberg 2006

Authors and Affiliations

  • The DELPHI Collaboration

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