SemileptonicBto scalar meson decays in the standard model with fourth generation

Abstract

We study the effects of the fourth generation of quarks on the total branching ratio and the lepton polarizations in ${\overline{B}}_{0}\ensuremath{\rightarrow}{K}_{0}^{*}(1430){l}^{+}{l}^{\ensuremath{-}}$ ($l=\ensuremath{\mu}$, $\ensuremath{\tau}$) decay. Taking the fourth generation quark mass ${m}_{t\ensuremath{'}}$ of about 400 to 600 GeV with the mixing angle $|{V}_{{t}^{\ensuremath{'}}b}^{*}{V}_{{t}^{\ensuremath{'}}s}|$ in the range $(0.05--1.4)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}2}$ and using the phase to be 80\ifmmode^\circ\else\textdegree\fi{}, it is found that the branching ratio and lepton polarizations are quite sensitive to these fourth generation parameters. In the future, the experimental study of this decay will give us an opportunity to study new physics effects, precisely, to search for the fourth generation of quarks $({t}^{\ensuremath{'}},{b}^{\ensuremath{'}})$ in an indirect way.