  We evaluate the cross section for single slepton production at hadron
colliders in supersymmetric theories with R-parity violating interactions to
the next-to-leading order in QCD. We obtain fully differential cross section by
using the phase space slicing method. We also perform soft-gluon resummation to
all order in $\alpha_s$ of leading logarithm to obtain a complete transverse
momentum spectrum of the slepton. We find that the full transverse momentum
spectrum is peaked at a few GeV, consistent with the early results for
Drell-Yan production of lepton pairs. We also consider the contribution from
gluon fusion via quark-triangle loop diagrams dominated by the $b$-quark loop.
The cross section of this process is significantly smaller than that of the
tree-level process induced by the initial $b\bar{b}$ annihilation.
