Relativistic description of exclusive heavy-to-light semileptonic decays B->pi(rho)e nuстатья
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Аннотация:The method of calculating electroweak decay matrix elements between heavy-heavy and heavy-light meson states is developed in the framework of a relativistic quark model based on the quasipotential approach in quantum field theory. This method is applied to the study of exclusive semileptonic B-->pi(rho) decays. It is shown that the large value of the final pi(rho) meson recoil momentum allows for the expansion in inverse powers of the b-quark mass of the decay form factors at q(2)=0, where q is a momentum carried by the lepton pair. This 1/m(b) expansion considerably simplifies the analysis of these decays and is carried out up to the second order. The q(2) dependence of the form factors is investigated. It is found that the q(2) behavior of the axial form factor A(1) is different from the other form factors. It is argued that the ratios Gamma(B-->rho e nu)/Gamma(B-->pi e nu) and Gamma(L)/Gamma(T) are sensitive probes of the A(1) q(2) dependence, and, thus, their experimental measurement may discriminate between different approaches. We find T(B-->pi e nu)=(3.0+/-0.6)X\V-ub\(2)X10(12)s(-1) and Gamma(B-->rho e nu)=(5.4+/-1.2)X\V-ub\(2)X10(12)s(-1). The relation between semileptonic and rare radiative B decays is discussed.