Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules

Abstract

In the $\mathrm{SU}(3{)}_{\mathrm{F}}$ symmetry limit, using two- and three-particle distribution amplitudes of $B^{\pm }$-meson for $B_s$, the transition form factors of semileptonic $B_s\to K_0^{\ast }(1430)$ decays are calculated in the framework of the light-cone sum rules. The two-particle distribution amplitudes, ${\phi }_{{}_{+}}(\omega )$ and ${\phi }_{{}_{-}}(\omega )$ have the most important contribution in estimation of the form factors $f_{+}(q^2)$, $f_{-}(q^2)$ and $f_T(q^2)$. The knowledge of the behavior of ${\phi }_{{}_{+}}(\omega )$ is still rather limited. Therefore, we consider three different parametrizations for the shapes of ${\phi }_{{}_{+}}(\omega )$ that are derived from the phenomenological models. Using the form factors $f_{+}$, $f_{-}$ and $f_T$, the semileptonic $B_s\to K_0^{\ast }(1430)l\overline{{\nu }_l}$ and $B_s\to K_0^{\ast }(1430)l\bar{l}/\nu \bar{\nu }$, $l=e,\mu ,\tau$ decays are analyzed. The branching fractions for the aforementioned decays, in addition the longitudinal lepton polarization asymmetries are calculated. A comparison between our results with predictions of other approaches is provided.

arXiv comment17 pages, 10 figures

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• Holographic study of the scalar meson $K_0^{\ast }(1430)$ with dynamical longitudinal confinement