  We study the soft gluon radiation effects for the $s$-channel single top
quark production at the LHC. By applying the transverse momentum dependent
factorization formalism, the large logarithms about the small total transverse
momentum ($q_\perp$) of the single-top plus one-jet final state system, are
resummed to all orders in the expansion of the strong interaction coupling at
the accuracy of Next-to-Leading Logarithm (NLL). We compare our numerical
results with PYTHIA and find that both the $q_\perp$ and $\phi^*$ observables
from PYTHIA are consistent with our prediction. Furthermore, we point out the
soft gluon radiation effects from the final state become significant in this
process, especially for the boosted kinematical region.
