Semileptonic Inclusive B--Decays and the Determination of $|V_{ub}|$ from QCD Sum Rules

Details Semileptonic Inclusive B--Decays and the Determination of $|V_{ub}|$ from QCD Sum Rules Semileptonic Inclusive B--Decays and the Determination of $|V_{ub}|$ from QCD Sum Rules

1992-11-13

arxiv.org/abs/hep-ph/9211244v2

Phys.Rev.D48:2110-2120,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages + 6 postscript figures, appended as uuencoded file, uses REVTEX, HD-THEP-92-35

Scientific paper

10.1103/PhysRevD.48.2110

We calculate the electron spectrum of semileptonic decays of B-mesons into non-charmed hadrons. The shape of the spectrum obtained from QCD sum rules is in general agreement with quark model calculations. At high electron energies the decrease of the spectrum is less steep than predicted by Altarelli et al. Our analysis yields a total decay rate $\Gamma(B\to X_u e\bar\nu) = (6.8\pm 2.0) 10^{13} |V_{ub}|^2 {s}^{-1}$. For the spectrum integrated over electron energies in the interval $2.4{ GeV}\leq E_e \leq 2.6\mbox{\ GeV}$ in the laboratory frame we obtain $\Gamma(B\to X_u e \bar\nu)= (5.0\pm 1.6) 10^{12} |V_{ub}|^2 {s}^{-1}$. Estimating all sorts of theoretical uncertainties, we obtain $|V_{ub}| = 0.003\pm 0.001$ for the $b \to u$ weak transition matrix element from the new CLEO-data.

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