  In this work, the transition form factors of the semileptonic decays of
$B_{(s)}$ to the light scalar mesons with masses close to $1.5~\rm{GeV}$ such
as $K_0^*(1430), a_0(1450)$, and $f_0(1500)$ are calculated in the framework of
the light-cone sum rules (LCSR). For this purpose, the two- and three-particle
$B$-meson distribution amplitudes (DA's) are used. Note that it is possible to
use the $B$-meson DA's for $B_{s}$-meson in the $\rm SU(3)_F$ symmetry limit.
The transition form factors are obtained in terms of the two-particle DA's up
to twist-five accuracy, and the three-particle up to twist-six level. We apply
two classes of the phenomenological models for the DA's of $B$-meson. The
longitudinal lepton polarization asymmetries and branching fractions for the
semileptonic decays of $B_{(s)}$ to the light scalar mesons are estimated with
the help of these form factors.
