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.

17 pages, 10 figures

References in corpus (6)

• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• $B\to S$ Transition Form Factors in the PQCD approach
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Two-loop evolution equation for the B-meson distribution amplitude

Cited by in corpus (5)

• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Scrutinizing $B^0$-meson flavor changing neutral current decay into scalar $K_0^{\ast }(1430)$ meson with $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ transition
• Form factors of $B_{(s)}$ to light scalar mesons with the $B$-meson LCSR
• $B_{(s)}\to S(a_0(1450),K_0^{\ast }(1430),f_0(1500))$ helicity form factors within QCD light-cone sum rules