Phenomenology of the $1/m_Q$ Expansion in Inclusive $B$ and $D$ Meson Decays

Abstract

We apply a recent theoretical analysis of hadronic observables in inclusive semileptonic heavy hadron decays to the phenomenology of $B$ and $D$ mesons. Correlated bounds on the nonperturbative parameters $\bar{\Lambda }$ and ${\lambda }_1$ are derived by considering data from $B$ decays and, independently, data from $D$ decays. The two sets of bounds are found to be consistent with each other. The data from $B$ decays are then are used to extract a lower limit on the CKM matrix element $|V_{cb}|$. We address the issue of the convergence of the perturbative expansions used in the analysis, and compare our bounds on $\bar{\Lambda }$ and ${\lambda }_1$ to lattice and QCD sum rule results. Finally, we argue that a comparison of the analyses of $D$ and $D_s$ decays provides evidence for the applicability of parton-hadron duality in the semileptonic decay of charmed hadrons.

arXiv comment18 pages, 3 embedded figures, uses REVTeX and epsf.sty; this is the slightly revised version to appear in Physical Review D

References in corpus (28)

• QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays
• Inclusive Semileptonic B and Polarized Lambda_b Decays from QCD
• Nonperturbative Corrections to Inclusive Beauty and Charm Decays: QCD versus Phenomenological Models
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Differential Distributions in Semileptonic Decays of the Heavy Flavors in QCD
• On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays
• Sum Rules for Heavy Flavor Transitions in the SV Limit
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Operator Product Expansion for Inclusive Semileptonic Decays in Heavy Quark Effective Field Theory
• Next--to--Leading Order Corrections to Meson Masses in the Heavy Quark Effective Theory
• Heavy Quark Expansion for the Inclusive Decay $\bar{B}\to \tau \bar{\nu }X$
• Bloch-Nordsieck cancellations beyond logarithms in heavy particle decays
• Hadron Spectra for Semileptonic Heavy Quark Decay
• Precision determination of ${\alpha }_s$ and $m_b$ from QCD sum rules for $b\overline{b}$.
• A New Determination of M_b Using Lattice QCD
• Radiative corrections to $b\to cτ\batν_τ$
• Cancellation of Renormalon Ambiguities in the Heavy Quark Effective Theory
• Perturbative Strong Interaction Corrections to the Heavy Quark Semileptonic Decay Rate
• Charm Mass Dependence of the $\CO(α_s^2 n_f)$ Correction to Inclusive $B\to X_{c}e{\bar{\nu }}_e$ Decay
• Renormalons in Effective Field Theories
• A Virial Theorem for the Kinetic Energy of a Heavy Quark inside Hadrons
• Nonperturbative Corrections to the Heavy Lepton Energy Distribution in the Inclusive Decays $H_b\ra τ\barνX.$
• First Lattice Calculation of The B-meson Binding and Kinetic Energies
• Normalization of QCD corrections in top quark decay
• Phenomenological Constraints on $\bar{\Lambda }$ and ${\lambda }_1$
• Calculation of 1/m^3 terms in the total semileptonic width of D mesons.
• Uncertainties in the Determination of $|V_{cb}|$

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• Precision determination of |V_{ub}| from inclusive decays
• Hadronic Mass Moments in Inclusive Semileptonic B Meson Decays
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• V_{ub} from the Hadronic Invariant Mass Spectrum in Semileptonic B Decay
• The B -> X_s gamma Photon Spectrum
• A Model Independent Determination of |V_{ub}|
• Hadronic Spectral Moments in Semileptonic B Decays With a Lepton Energy Cut
• Evolution of the Light Cone Distribution Function for a Heavy Quark
• Improving Extractions of |Vcb| and mb from the Hadronic Invariant Mass Moments of Semileptonic Inclusive B decay
• A High-Statistics Lattice Calculation of ${\lambda }_1$ and ${\lambda }_2$ in the $B$ meson
• Threshold resummed spectra in B -> Xu l nu decays in NLO (II)
• Exploring the Invisible Renormalon: Renormalization of the Heavy-Quark Kinetic Energy
• The Heavy Quark Expansion for Inclusive Semileptonic Charm Decays Revisited
• Tau lepton distributions in semileptonic B decays
• Subleading shape function contributions to the hadronic invariant mass spectrum in B -> X_u l νdecay
• Perturbative QCD- and Power-Corrected Hadron Spectra and Spectral Moments in the Decay $B\to X_s{\ell }^{+}{\ell }^{-}$
• Theoretical Review of B-physics
• The Potential for Neutrino Physics at Muon Colliders and Dedicated High Current Muon Storage Rings
• Charm Physics - A Field Full with Challenges and Opportunities
• Corrections to the Bjorken and Voloshin sum rules
• Heavy quark expansion parameters from lattice NRQCD
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Determination of the HQET Parameters from the $B\to X_s\gamma$ Decay
• Bounding Heavy Meson Form Factors Using Inclusive Sum Rules
• Heavy-quark binding and kinetic energies in heavy-light mesons and the constituent quark model
• Nonperturbative Determination of Heavy Meson Bound States
• Nonresonant Semileptonic Heavy Quark Decay
• 1/m_b^2 correction to the left-right lepton polarization asymmetry in the decay B -> X_s mu^+ mu^-
• Charming Darwin: the evolution of QCD parameters across different species
• Determination of HQET parameter λ_1 from Inclusive Semileptonic B Meson Decay Spectrum
• Effective Field Theory of Heavy Mesons
• Exclusive versus Inclusive Semileptonic $\bar{B}$ Decays in the Quark Model
• Theory of Inclusive B Decays
• Improving Extractions of |Vcb| and the b Quark Mass from Semileptonic Inclusive B Decay
• $B\to X_{c(u)}\ell {\bar{\nu }}_{\ell }\gamma$ and determination of non-perturbative parameters