Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-05-16
Phys.Lett.B356:516-524,1995; ERRATUM-ibid.B367:391,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, Latex, 3 figures
Scientific paper
10.1016/0370-2693(95)00782-G
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 $\Gamma(B\to \pi e\nu)=(3.1\pm 0.6)\times \vert V_{ub}\vert ^2\times 10^{12}$s${}^{-1}$ and $\Gamma(B\to \rho e\nu)=(5.7\pm 1.2)\times \vert V_{ub}\vert ^2\times 10^{12}$s${}^{-1}$. The relation between semileptonic and rare radiative $B$-decays is discussed.
Faustov Rudolf N.
Galkin V. O.
Mishurov Yu. A.
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