$K_0^{\ast }(1430)$ Twist-2 Distribution Amplitude and $B_s,D_s\to K_0^{\ast }(1430)$ Transition Form Factors

Abstract

Based on the scenario that the $K_0^{\ast }(1430)$ is viewed as the ground state of $s\bar{q}$ or $q\bar{s}$, we study the $K_0^{\ast }(1430)$ leading-twist distribution amplitude (DA) ${\varphi }_{2;K_0^{\ast }}(x,\mu )$ with the QCD sum rules in the framework of background field theory. A more reasonable sum rule formula for $\xi$-moments $⟨{\xi }^n{⟩}_{2;K_0^{\ast }}$ is suggested, which eliminates the influence brought by the fact that the sum rule of $⟨{\xi }_p^0{⟩}_{3;K_0^{\ast }}$ cannot be normalized in whole Borel region. More accurate values of the first ten $\xi$-moments, $⟨{\xi }^n{⟩}_{2;K_0^{\ast }}(n=1,2,\cdots ,10)$, are evaluated. A new light-cone harmonic oscillator (LCHO) model for $K_0^{\ast }(1430)$ leading-twist DA is established for the first times. By fitting the resulted values of $⟨{\xi }^n{⟩}_{2;K_0^{\ast }}(n=1,2,\cdots ,10)$ via the least squares method, the behavior of $K_0^{\ast }(1430)$ leading-twist DA described with LCHO model is determined. Further, by adopting the light-cone QCD sum rules, we calculate the $B_s,D_s\to K_0^{\ast }(1430)$ transition form factors and branching fractions of the semileptonic decays $B_s,D_s\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$. The corresponding numerical results can be used to extract the Cabibbo-Kobayashi-Maskawa matrix elements by combining the relative experimental data in the future.

16 pages, 4 figures

References in corpus (13)

• Light-cone sum rules for $B\to \pi$ form factors revisited
• $B\to S$ Transition Form Factors in the PQCD approach
• B, Bs -> K form factors: an update of light-cone sum rule results
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• A Comprehensive Analysis on the Pion-Photon Transition Form Factor Beyond the Leading Fock State
• Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
• Finding a way to determine the pion distribution amplitude from the experimental data
• $B-S$ 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
• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)ρ(ω,ϕ) Decays in the PQCD 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

Cited by in corpus (9)

• Probing $|V_{cs}|$ and lepton flavor universality through $D\to K_0^{\ast }(1430)\ell {\nu }_{\ell }$ decay
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
• 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
• Exploring the exclusive decay $B^{+}\to \omega {\ell }^{+}\nu$ with light-cone sum rules
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays
• $B_{(s)}\to S(a_0(1450),K_0^{\ast }(1430),f_0(1500))$ helicity form factors within QCD light-cone sum rules
• Transition form factors for $D/B$ to $a_0(980)$ from light-cone QCD sum rules