Semileptonic inclusive [ital B] decays and the determination of [vert bar][ital V][sub [ital u][ital b]][vert bar] from QCD sum rules

Journal Article · Wed Sep 01 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.2110· OSTI ID:6244085

Ball, P ^[1]; Braun, V M ^[2]; Dosch, H G ^[3]

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1. Physik-Department, TU Muenchen, D-8046 Garching (Germany)
2. Max-Planck-Institut fuer Physik, P.O. Box 40 12 12, D-8000 Muenchen 40 (Germany)
3. Institut fuer Theoretische Physik, Universitaet Heidelberg, D-6900 Heidelberg (Germany)

We calculate the electron spectrum of semileptonic decays of [ital B] mesons into noncharmed 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 [ital et] [ital al]. Our analysis yields a total decay rate [Gamma]([ital B][r arrow][ital X][sub [ital u]e][bar [nu]])=(6.8[plus minus]2.0)[times]10[sup 13][vert bar][ital V][sub [ital u][ital b]][vert bar][sup 2] s[sup [minus]1]. For the spectrum integrated over electron energies in the interval 2.4 GeV[le][ital E][sub [ital e]][le]2.6 GeV in the laboratory frame we obtain [Gamma]([ital B][r arrow][ital X][sub [ital u]e][bar [nu]])=(5.0[plus minus]1.6)[times]10[sup 12][vert bar][ital V][sub [ital u][ital b]][vert bar][sup 2] s[sup [minus]1]. Estimating all sorts of theoretical uncertainties, we obtain [vert bar][ital V][sub [ital u][ital b]][vert bar]=0.003[plus minus]0.001 for the [ital b][r arrow][ital u] weak transition matrix element from the new CLEO data.

• OSTI ID: 6244085
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:5; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
662350* -- Decays of Mesons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
BEAUTY PARTICLES
BOSONS
COMPOSITE MODELS
DECAY
DIMENSIONS
ELECTRON SPECTRA
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HADRONS
MATHEMATICAL MODELS
MATRIX ELEMENTS
MESONS
PARTICLE DECAY
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SEMILEPTONIC DECAY
SPECTRA
SUM RULES
TRANSITION AMPLITUDES
WEAK PARTICLE DECAY
WIDTH