Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays

Abstract

We examine the exclusive rare decays of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ with $K_0^{\ast }(1430)$ being the p-wave scalar meson and $\ell =\nu ,e,\mu ,\tau$ in the standard model. The form factors for the $B\to K_0^{\ast }$ transition matrix elements are evaluated in the light front quark model. For the decays of $B\to K_0^{\ast }\ell \bar{\ell }$, the branching ratios are found to be $(11.6,1.63,1.62,0.029)\times 10^{-7}$ with $\ell =(\nu ,e,\mu ,\tau )$ and the integrated longitudinal lepton polarization asymmetries $(-0.97,-0.95,-0.03)$ with $\ell =(e,\mu ,\tau )$, respectively.

Comments: 12 pages, 4 figures, final version published in PRD