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B decay shape variables and the precision determination of |Vcb| and mb

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arxiv hep-ph/0210027 v2 pith:FPRJLME3 submitted 2002-10-01 hep-ph

classification hep-ph
keywords recentbabardecaydiscussexperimentalmassprecisionquark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present expressions for shape variables of B decay distributions in several different mass schemes, to order $\alpha_s^2\beta_0$ and (Lambda_{QCD}/mb)^3. Such observables are sensitive to the b quark mass and matrix elements in the heavy quark effective theory, and recent measurements allow precision determinations of some of these parameters. We perform a combined fit to recent experimental results from CLEO, BABAR, and DELPHI, and discuss the theoretical uncertainties due to nonperturbative and perturbative effects. We discuss the possible discrepancy between the OPE prediction, recent BABAR results and the measured branching fraction to D and D* states. We find |Vcb| = (40.8 +- 0.9) x 10^{-3} and mb^{1S} = 4.74 +- 0.10 GeV, where the errors are dominated by experimental uncertainties.

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  1. Kinematic Moments of $\bar{B}\to X_c \ell \bar{\nu}_\ell$ to Order $\mathcal{O}(\Lambda_{\rm QCD}^5/m_b^5)$

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Analytic HQE moments for inclusive B to X_c l nu are extended to O(Lambda^5/m_b^5), including q^2 moments with a lepton-energy cut, and a CLEO data tension is identified.

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