  We calculate the next-to-leading order QCD corrections to $B$ to scalar meson
form factors from QCD light-cone sum rules with $B$ meson light-cone
distribution amplitudes. We demonstrate that the $B$ meson-to-vacuum
correlation functions can be factorized into the convolution of short-distance
coefficients and light-cone distribution amplitudes at the one-loop level and
find that only $\phi_B^+(\omega,\mu)$ contributes to the form factors. We then
employ the $z$-parameterization combined with constraints from strong coupling
constants to reconstruct the $q^2$ dependence of the form factors in the whole
kinematic allowed regions. Due to the large cancellations between the hard
functions and the jet functions, the next-to-leading order results show a
modest increase of approximately 5\% compared to the leading order results.
Based on the results of form factors, we predict the branching ratios of
semi-leptonic $B\to S\ell\bar{\nu}_\ell$ and $B\to S\nu_\ell\bar{\nu}_\ell$
processes, as well as several angular observables, such as forward-backward
asymmetries, "flat terms" and lepton polarization asymmetries. We compare these
results with calculations from other methods. Experimental verification of
these results is required in future experiments.
