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Analysis of semileptonicBdecays in the relativistic quark model

2006/11/24 by Д. Эберт, D. Ebert, Р. Н. Фаустов +2 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.75.074008

published as Phys.Rev.D75:074008,2007 · 25 pages, 11 figures

arxiv created 2006/11/24 · openalex publication_date 2007/04/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present the new analysis of the semileptonic B decays in the framework of the relativistic quark model based on the quasipotential approach. Decays both to heavy D(*) and light \ensuremathπ(\ensuremathρ) mesons are considered. All relativistic effects are systematically taken into account including contributions of the negative-energy states and the wave function transformation from the rest to moving reference frame. For heavy-to-heavy transitions the heavy quark expansion is applied. Leading and subleading Isgur-Wise functions are determined as the overlap integrals of initial and final meson wave functions. For heavy-to-light transitions the explicit relativistic expressions are used to determine the dependence of the form factors on the momentum transfer squared. Such treatment significantly reduces theoretical uncertainties and increases reliability of obtained predictions. All results for form factors, partial and total decay rates agree well with recent experimental data and unquenched lattice calculations. From this comparison we find the following values of the Cabibbo-Kobayashi-Maskawa matrix elements: |Vcb|=(3.85\ifmmode±\else\textpm\fi0.15\ifmmode±\else\textpm\fi0.20)\ifmmode×\else\texttimes\fi10^\ensuremath-2 and |Vub|=(3.82\ifmmode±\else\textpm\fi0.20\ifmmode±\else\textpm\fi0.20)\ifmmode×\else\texttimes\fi10^\ensuremath-3, where the first error is experimental and the second one is theoretical.

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