In this paper, the $Dto P(pi, K)$ helicity form factors (HFFs) are studied by applying the QCD light-cone sum rule (LCSR) approach. The calculation accuracy is up to next-to-leading order (NLO) gluon radiation correction of twist-(2,3) distribution amplitude. The resultant HFFs at large recoil point are ${cal P}_{t,0}^pi(0) = 0.688^{+0.020}_{-0.024}$, ${cal P}_{t,0}^K(0)=0.780^{+0.024}_{-0.029}$. In which, the contributions from three particles of the leading order (LO) are so small that can be safely neglected, and the maximal contribution of the NLO gluon radiation correction for ${cal P}_{t,0}^{pi,K}(0)$ is less than $3%$. After extrapolating the LCSR predictions for these HFFs to whole $q^2$-region, we obtain the decay widths for semileptonic decay processes $Dto Pell u_ell$, which are consistent with BES-III collaboration predictions within errors. After considering the $D^{+}/D^{0}$-meson lifetime, we give the branching fractions of $Dto Pell u_ell$ with $ell = e, mu$, our predictions also agree with BES-III collaboration within errors, especially for $Dto pi ell u_ell$ decay process. Finally, we present the forward-backward asymmetry ${cal A}_{rm FB}^ell(q^2)$ and lepton convexity parameter ${cal C}_F^ell(q^2)$, and further calculate the mean value of these two observations $langle{cal A}_{rm FB}^ellrangle$ and $langle{cal C}_F^ellrangle$, which may provide a way to test those HFFs in future experiments.
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