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

Abstract

In this paper, we investigate the rare decay $B^0\to K_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$ with $\ell =(e,\mu ,\tau )$ and $B^0\to K_0^{\ast }(1430)\nu \bar{\nu }$ induced by the flavor changing neutral current transition of $b\to s{\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$. Firstly, the $B^0\to K_0^{\ast }(1430)$ transition form factors (TFFs) are calculated by using the QCD light-cone sum rule approach up to next-to-leading order accuracy. In which the $K_0^{\ast }(1430)$-meson twist-2 and twist-3 LCDAs have been calculated both from the SVZ sum rule in the background field theory framework and light-cone harmonic oscillator model. Then, we obtained the three TFFs at large recoil point, {\it i.e.,} $f_{+}^{B^0\to K_0^{\ast }}(0)=0.470_{-0.101}^{+0.086}$, $f_{-}^{B^0\to K_0^{\ast }}(0)=-0.340_{-0.068}^{+0.068}$, and $f_{\mathrm{T}}^{B^0\to K_0^{\ast }}(0)=0.537_{-0.115}^{+0.112}$. Meanwhile, we extrapolated TFFs to the whole physical $q^2$-region by using the simplified $z(q^2)$-series expansion. Furthermore, we calculate the $B^0\to K_0^{\ast }(1430){\ell }^{+}{\ell }^{-}(\nu \bar{\nu })$ decay widths, branching fractions, and longitudinal lepton polarization asymmetries of $B^0\to K_0^{\ast }(1430){\ell }^{+}{\ell }^{-}$, which lead to $\mathcal{B}(B^0\to K_0^{\ast }(1430)e^{+}{e}^{-})=(6.65_{-2.42}^{+2.52})\times 10^{-7}$, $\mathcal{B}(B^0\to K_0^{\ast }(1430){\mu }^{+}{\mu }^{-})=(6.62_{-2.41}^{+2.51})\times 10^{-7}$, $\mathcal{B}(B^0\to K_0^{\ast }(1430){\tau }^{+}{\tau }^{-})=(1.88_{-0.97}^{+1.10})\times 10^{-8}$, $\mathcal{B}(B^0\to K_0^{\ast }(1430)\nu \bar{\nu })=3.85_{-1.48}^{+1.55}\times 10^{-6}$ and the integrated longitudinal lepton polarization asymmetries $⟨A_{P_L}⟩=(-0.99,-0.96,-0.03)$ for the cases $\ell =(e,\mu ,\tau )$ respectively.

17 pages, 3 figures, comments welcome

References in corpus (34)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• New strategies for New Physics search in B -> K* nu anti-nu, B -> K nu anti-nu and B -> X(s) nu anti-nu decays
• Light-cone sum rules for $B\to \pi$ form factors revisited
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Twist-4 Distribution Amplitudes of the K${}^{\ast }$ and $\varphi$ Mesons in QCD
• Measurement of lepton universality parameters in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ and $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• Global fits to b -> s ll data and signs for lepton non-universality
• $B\to S$ Transition Form Factors in the PQCD approach
• Tests of lepton universality using $B^0\to K_S^0{\ell }^{+}{\ell }^{-}$ and $B^{+}\to K^{\ast +}{\ell }^{+}{\ell }^{-}$ decays
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Standard Model predictions for $B\to K{\ell }^{+}{\ell }^{-}$, $B\to K{\ell }_1^{-}{\ell }_2^{+}$ and $B\to K\nu \bar{\nu }$ using form factors from $N_f=2+1+1$ lattice QCD
• Search for $B^{+}\to K^{+}\nu \bar{\nu }$ decays using an inclusive tagging method at Belle II
• Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• Analysis of rare (B -> K_0*(1430) l^+ l^- decay) within QCD sum rules
• Study of $B\to K_0^{\ast }(1430)\ell \bar{\ell }$ Decays
• The $\rho$-meson longitudinal leading-twist distribution amplitude within QCD background field theory
• Search for the decay $B^0\to K^{\ast 0}{\tau }^{+}{\tau }^{-}$ at the Belle experiment
• $K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors
• $B-S$ transition form-factors with the light-cone QCD sum rules
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• $a_0(980)$-meson twist-2 distribution amplitude within the QCD sum rules and investigation of $D\to a_0(980)(\to \eta \pi )e^{+}{\nu }_e$
• An improved observable for the forward-backward asymmetry in B -> K* l+ l- and Bs -> phi l+ l-
• $a_1(1260)$-meson longitudinal twist-2 distribution amplitude and the $D\to a_1(1260){\ell }^{+}{\nu }_{\ell }$ decay processes
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Investigating $D_s^{+}\to {\pi }^0{\ell }^{+}{\nu }_{\ell }$ decay process within QCD sum rule approach
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Semileptonic $B_s\to K_0^{\ast }(1430)$ transitions with the light-cone sum rules
• Revisiting $D$-meson twist-2, 3 distribution amplitudes

Cited by in corpus (1)

• Probing $D_s^{\ast }$-meson longitudinal twist-2 LCDA