Improved Estimates for the Parameters of the Heavy Quark Expansion

Abstract

We give improved estimates for the non-perturbative parameters appearing in the heavy quark expansion for inclusive decays. While the parameters appearing in low orders of this expansion can be extracted from data, the number of parameters in higher orders proliferates strongly, making a determination of these parameters from data impossible. Thus, one has to rely on theoretical estimates which may be obtained from an insertion of intermediate states. In this paper we refine this method and attempt to estimate the uncertainties of this approach.

arXiv comment18 pages (v2: Fixed sign error in section 3. conclusions unchanged)

References in corpus (11)

• QCD Predictions for Lepton Spectra in Inclusive Heavy Flavour Decays
• Nonperturbative Corrections to Inclusive Beauty and Charm Decays: QCD versus Phenomenological Models
• An Illustrative Example of How Quark-Hadron Duality Might Work
• Imprecated, yet Impeccable: On the Theoretical Evaluation of Gamma(B -> X_c \ell ν)
• Inclusive semileptonic fits, heavy quark masses, and V_cb
• Higher Order Power Corrections in Inclusive B Decays
• Study of orbitally excited $B$ mesons and evidence for a new $B\pi$ resonance
• Inclusive Semi-leptonic B Decays to order 1/m_b^4
• Measurement of Resonance Parameters of Orbitally Excited Narrow B^0 Mesons
• Measurement of the Spectroscopy of Orbitally Excited B Mesons at LEP
• Theory of Pre-Asymptotic Effects in Weak Inclusive Decays

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• Semileptonic and leptonic $B$ decays, circa 2016
• Inclusive Semileptonic $b\to c\ell \bar{\nu }$ Decays to Order $1/m_b^5$
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• Quark-Hadron Duality Violations and Higher-Order $1/m_b$ Corrections in Inclusive Semileptonic $B$ Decays
• Revisiting Uraltsev's BPS limit for Heavy Quarks
• Additional Information on Heavy Quark Parameters from Charged Lepton Forward-Backward Asymmetry
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• Semileptonic $B$ decays and $|V_{xb}|$ update
• Completing $1/m_b^3$ corrections to non-leptonic bottom-to-up-quark decays
• A Precision Determination of the CKM Element |Vcb| and a Review of the Status of Inclusive |Vub|