  We present results for higher-order soft-gluon radiative corrections for
single top-quark production in association with electroweak bosons, including
$t\gamma$ and $tZ$ production via anomalous FCNC couplings. We provide results
for the total cross sections and differential distributions at LHC energies. We
use $K$-factors to show the significance of the corrections compared to leading
order, and we discuss uncertainties and the importance of the results.
