In this paper, we investigate the rare decay B0→K0∗(1430)ℓ+ℓ- with ℓ=(e,μ,τ) and B0→K0∗(1430)νν¯ induced by the flavor changing neutral current transition of b→sℓ+ℓ-(νν¯). Firstly, the B0→K0∗(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 K0∗(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 obtain the three TFFs at large recoil point, i.e., f+B0→K0∗(0)=0.470-0.101+0.086, f-B0→K0∗(0)=-0.340-0.068+0.068, and fTB0→K0∗(0)=0.537-0.115+0.112. Meanwhile, we extrapolate TFFs to the whole physical q2-region by using the simplified z(q2)-series expansion. Furthermore, we calculate the B0→K0∗(1430)ℓ+ℓ-(νν¯) decay widths, branching fractions, and longitudinal lepton polarization asymmetries of B0→K0∗(1430)ℓ+ℓ-, which lead to B(B0→K0∗(1430)e+e-)=(6.65-2.42+2.52)×10-7, B(B0→K0∗(1430)μ+μ-)=(6.62-2.41+2.51)×10-7, B(B0→K0∗(1430)τ+τ-)=(1.88-0.97+1.10)×10-8, B(B0→K0∗(1430)νν¯)=3.85-1.48+1.55×10-6 and the integrated longitudinal lepton polarization asymmetries ⟨APL⟩=(-0.99,-0.96,-0.03) for the cases ℓ=(e,μ,τ) respectively.
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