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

TL;DR

This paper uses spectral moments from semileptonic B decays measured at LEP to determine non-perturbative parameters and extract the CKM matrix element |V_cb| with improved precision.

Contribution

It provides new measurements of spectral moments and extracts heavy quark parameters within the kinetic scheme, including corrections at order 1/m_b^3, leading to a precise |V_cb| determination.

Findings

Heavy quark masses m_b and m_c measured with uncertainties.

Non-perturbative parameters mu_{pi}^2 and e_D^3 determined.

|V_cb| extracted with total uncertainty around 4%.

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: m_b(1 GeV) = 4.591 +/- 0.062 +/- 0.039 +/- 0.005 GeV/c^2 m_c(1 GeV) = 1.170 +/- 0.093 +/- 0.055 +/- 0.005 GeV/c^2 mu_{pi}^2(1 GeV) = 0.399 +/- 0.048 +/- 0.034 +/- 0.087 GeV^2 \tilde{\rho}_D^3 = 0.053 +/- 0.017 +/- 0.011 +/- 0.026 GeV^3, 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: |V_cb| = 0.0421 x (1 +/- 0.014 (meas.) +/- 0.014 (fit) +/- 0.015 (th.)).