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I identify a source of \Lambda_{QCD}/m_Q corrections to the assumption of quark-hadron duality in the application of heavy quark methods to inclusive heavy quark decays. These corrections could substantially affect the accuracy of such…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nathan Isgur

We present an analytical calculation of the $\alpha_s$ corrections for the coefficient of $\rho_D/m_Q^3$ term in the heavy quark expansion for the inclusive semileptonic decays of heavy hadrons, such as $B \to X_c \ell \bar{\nu}$. The full…

High Energy Physics - Phenomenology · Physics 2019-11-20 Thomas Mannel , Alexei A. Pivovarov

The theoretical description and data for inclusive semileptonic $B$ decays have reached incredible precision. This motivated us to re-animate the discussion of possible Quark-Hadron Duality violations. There seems that there is currently no…

High Energy Physics - Phenomenology · Physics 2025-02-04 Thomas Mannel , Ilija S. Milutin , Rens Verkade , K. Keri Vos

The determination of $|V_{cb}|$ using inclusive and exclusive (semi-)leptonic decays exhibits a long-standing tension of varying ${\cal O}(3 \sigma)$ significance. For the inclusive determination the decay rate is expanded in $1/m_b$ using…

High Energy Physics - Phenomenology · Physics 2016-05-25 Sascha Turczyk

The differential decay spectrum $d\Gamma/dE_e dq^2$ for the semileptonic decay of an unpolarized hadron containing a b-quark, and the decay spectrum $d\Gamma/dE_e dq^2 d\!\cos\theta$ for polarized $\Lambda_b$ decay are computed to second…

High Energy Physics - Phenomenology · Physics 2010-11-01 Aneesh V. Manohar , Mark B. Wise

The inclusive and exclusive semileptonic decay distributions for b -> c decay are computed in the Shifman-Voloshin limit. The inclusive decay distributions (computed using an operator product expansion) depend on quark masses, and the…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. Glenn Boyd , Benjamin Grinstein , Aneesh V. Manohar

Inclusive heavy-flavour decays can be described through $1/m_Q$ expansions derived from QCD with the help of an operator product expansion. I sketch their methodology and apply them first to semileptonic B decays; $|V(cb)|$ can be extracted…

High Energy Physics - Phenomenology · Physics 2008-02-03 Ikaros I. Bigi

The quark (gluon)-hadron duality constitutes a basis for the theoretical treatment of a wide range of inclusive processes -- from hadronic \tau decays and R_{e^+e^-}, to semileptonic and nonleptonic decay rates of heavy flavor hadrons. A…

High Energy Physics - Phenomenology · Physics 2009-10-28 Boris Chibisov , R. David Dikeman , M. Shifman , N. G. Uraltsev

Compact analytic expressions have been obtained for the first order perturbative QCD corrections to the inclusive spectra of the leptons in the semileptonic decays of polarised heavy quarks. Charmed and beautiful $\Lambda$ baryons from…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marek Jezabek

The two important issues concerning the theory of inclusive decays are studied: (1) evaluation of expectation values of four-quark operators in order to systematically include the spectator effects and (2) estimation of duality breaking…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Arunagiri

Quark-hadron duality in the inclusive semileptonic decay $B\to X_c l\nu$ in the Shifman-Voloshin limit $\Lambda \ll \delta m=m_b - m_c \ll m_b, m_c$ is studied within a nonrelativistic potential model. The integrated semileptonic decay rate…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Le Yaouanc , D. Melikhov , V. Morenas , L. Oliver , O. Pene , J. -C. Raynal

We argue that there is strong experimental evidence in the data of b- and c-decays that the pattern of power suppressed corrections predicted by the short distance expansion, the heavy quark effective theory and the assumption of local…

High Energy Physics - Phenomenology · Physics 2009-07-09 G. Altarelli , G. Martinelli , S. Petrarca , F. Rapuano

Recent advances in improving extractions of |Vcb| and m_b from spectra of semileptonic inclusive B decay are reported. Results of a general moment analysis of the lepton energy spectrum and the hadronic invariant mass spectrum are…

High Energy Physics - Phenomenology · Physics 2014-11-18 Michael Trott

The dressed heavy quark mass \hat{m}_Q=m_Q+\bar{{\Lambda}} with \bar{{\Lambda}} being the binding energy is introduced to characterize the heavy hadrons containing a single heavy quark. A heavy quark expansion in terms of the inverse of the…

High Energy Physics - Phenomenology · Physics 2011-03-18 Wen-Yu Wang , Yue-Liang Wu , Fang Ye

In this paper we compute $\alpha_s$ corrections to the matching coefficients of the dimension six operators in the Heavy Quark Expansion of the inclusive semileptonic heavy hadron decay rate and leptonic invariant mass spectrum with a…

High Energy Physics - Phenomenology · Physics 2024-03-04 Daniel Moreno

In this paper, we evaluate the expectation values of four-quark operators for the inclusive beauty decays from the differences in the inclusive total decay rates, assuming that the heavy quark expansion converges at $O(1/m^3)$. The obtained…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Arunagiri

BaBar measurements involving semileptonic decays of B mesons are reviewed. Attention is focused on the extraction of |Vub| and |Vcb| elements of the Cabibbo-Kobayashi-Maskawa quark mixing matrix. Recent results of inclusive and exclusive…

High Energy Physics - Experiment · Physics 2017-08-23 A. Sarti

This paper presents $\alpha_s$ corrections to the inclusive semitauonic $B \to X_c \tau \bar{\nu}_\tau$ decay width and leptonic invariant mass spectrum up to order $1/m_b^3$ in the heavy quark expansion. Analytical results with full…

High Energy Physics - Phenomenology · Physics 2023-06-30 Daniel Moreno

We present the theory of inclusive decays of hadrons containing a heavy quark and discuss its most important applications to the decays of B mesons. We also review the theoretical understanding of the hadronic parameters lambda_1 and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Neubert

We present analytical results for higher order corrections to the decay spectra of inclusive semileptonic heavy hadron weak decays using the heavy quark expansion (HQE). We compute analytically the spectrum of the leptonic invariant mass…

High Energy Physics - Phenomenology · Physics 2022-04-13 Th. Mannel , D. Moreno , A. A. Pivovarov
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