In this paper, we calculate the semileptonic decays D→K0*(1430)ℓνℓ with ℓ=(e,μ) induced by c→sℓνℓ transition. For the key component, D→K0*(1430) transition form factors (TFFs) f±(q2) are calculated within the framework of QCD light cone sum rule. Then, we consider two scenarios for K0*(1430)-meson twist-2 distribution amplitude. For the scenario 1 (S1), we take the truncated form based on Gegenbauer polynomial series. Meanwhile, we also consider the scenario 2 (S2) constructed by light cone harmonic oscillator model, where the model parameters are fixed by the K0*(1430)-meson twist-2 distribution amplitude tenth-order ξ moments calculated by using the background field theory. For the TFFs at a large recoil point, we have f+(S1)(0)=0.597−0.121+0.122 and f−(S1)(0)=−0.136−0.035+0.023, f+(S2)(0)=0.663−0.134+0.135, and f−(S2)(0)=−0.202−0.046+0.026. After extrapolating TFFs to the whole physical q2 region, we calculate the branching fractions of D0→K0*+(1430)ℓ−ν¯ℓ and D+→K0*0(1430)ℓ+νℓ, which at 10−4-order level for the S1 and S2 cases. Meanwhile, we predict the CKM matrix |Vcs|(S1)=0.973−0.183+0.259, |Vcs|(S2)=0.880−0.165+0.234, and lepton flavor universality RK0*(S1)=0.768−0.368+0.560, RK0*(S2)=0.764−0.365+0.555. Finally, we discuss the angular observables of forward-backward asymmetries, lepton polarization asymmetries, and q2-differential flat terms for this decay.
Published by the American Physical Society
2024