Exclusive semileptonic decays of B mesons into light mesons in the relativistic quark model

Abstract

The exclusive semileptonic $B\to \pi (\rho )e\nu$ decays are studied in the framework of the relativistic quark model based on the quasipotential approach in quantum field theory. The large recoil momentum of the final $\pi (\rho )$ meson allows for the expansion of the decay form factors at $q^2=0$ in the inverse powers of $b$-quark mass. This considerably simplifies the analysis of these decays. The $1/m_b$ expansion is carried out up to the first order. It is found that the $q^2$-dependence of the axial form factor $A_1$ is different from the $q^2$-behaviour of other form factors. We find $\Gamma (B\to \pi e\nu )=(3.1\pm 0.6)\times |V_{ub}{|}^2\times 10^{12}$s${}^{-1}$ and $\Gamma (B\to \rho e\nu )=(5.7\pm 1.2)\times |V_{ub}{|}^2\times 10^{12}$s${}^{-1}$. The relation between semileptonic and rare radiative $B$-decays is discussed.

11 pages, Latex, 3 figures

References in corpus (3)

• QCD-Based Interpretation of the Lepton Spectrum in Inclusive $\bar{B}\to X_u\ell \bar{\nu }$ Decays
• Resummation of Nonperturbative Corrections to the Lepton Spectrum in Inclusive $B\to X\ell \bar{\nu }$ Decays
• QCD Corrections and the Endpoint of the Lepton Spectrum in Semileptonic B Decays

Cited by in corpus (15)

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• Relativistic Description of Exclusive Heavy-to-Light Semileptonic Decays $B\to \pi (\rho )e\nu$
• Form factors of exclusive $b\to u$ transitions
• Semileptonic decays $B\to (\pi ,\rho )e\nu$ in relativistic quark model
• Exclusive semileptonic B decays to radially excited D mesons
• Exclusive nonleptonic decays of B mesons
• Form Factors in the Heavy Quark and Chiral Limit: Pole dominance in $\bar{B}\to \pi e{\bar{\nu }}_e$
• Exclusive semileptonic decays of heavy mesons in quark model
• Quasi-elastic knockout of pions and kaons from nucleons by high-energy electrons and quark microscopy of "soft" meson degrees of freedom in the nucleon
• Relativistic Description of Exclusive Semileptonic Decays of Heavy Mesons
• First Lattice Study of the Form Factors A_0 and A_3 in the Decay Bbar^0 to rho^+ l^- nubar_l
• Determination of V_cb from exclusive decays in a relativistic quark model