# Measurement of Moments of the Hadronic-Mass and -Energy Spectrum in Inclusive Semileptonic $\bar{B} \to X_{c} \ell^{-} \bar{\nu}$ Decays

Abstract : We present a measurement of moments of the inclusive hadronic-mass and -energy spectrum in semileptonic $\bar{B} \to X_{c} \ell^{-} \bar{\nu}$ decays. This study is based on a sample of 232 million $\Upsilon(4S) \to B\bar{B}$ decays recorded by the BABAR detector at the PEP-II $e^+e^-$-storage rings. We reconstruct the semileptonic decay by identifying a lepton in events tagged by a fully reconstructed hadronic decay of the second $B$ meson. We report preliminary results for the moments $with k=1,...,6 and$ with $k=2,4,6$ and $n_X^2 = m_X^2 c^4 - 2 \tilde{\Lambda} E_X + \tilde{\Lambda}^2$, with $m_X$ the mass of the hadronic system, $E_X$ its energy, and $\tilde\Lambda$ a constant of $0.65 \mathrm{GeV}$, for different minimal lepton momenta between 0.8 and $1.9 \mathrm{GeV}/c$ measured in the $B$-meson rest frame. These are predicted in the framework of a Heavy Quark Expansion (HQE), which allows the extraction of the total semileptonic branching fraction, the CKM-matrix element $|V_{cb}|$, and the quark masses $m_b$ and $m_c$, together with the dominant non-perturbative HQE parameters. We find as preliminary results $|V_{cb}| = (41.88 \pm 0.81) \cdot 10^{-3}$ and $m_b = (4.552 \pm 0.055) \mathrm{GeV}/c^2$.
Document type :
Conference papers

http://hal.in2p3.fr/in2p3-00165250
Contributor : Dominique Girod <>
Submitted on : Wednesday, July 25, 2007 - 2:21:49 PM
Last modification on : Saturday, May 22, 2021 - 3:33:45 AM

### Identifiers

• HAL Id : in2p3-00165250, version 1
• ARXIV : 0707.2670

### Citation

B. Aubert, M. Bona, D. Boutigny, Y. Karyotakis, J.P. Lees, et al.. Measurement of Moments of the Hadronic-Mass and -Energy Spectrum in Inclusive Semileptonic $\bar{B} \to X_{c} \ell^{-} \bar{\nu}$ Decays. 2007 Europhysics Conference on High Energy Physics, Jul 2007, Manchester, United Kingdom. ⟨in2p3-00165250⟩

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