  Associated production of the Higgs boson with a single top quark proceeds
through Feynman diagrams, which are either proportional to the hWW, top-Yukawa,
or the bottom-Yukawa couplings. It was shown in literature that the
interference between the top-Yukawa and the gauge-Higgs diagrams can be
significant, and thus the measurement of the cross sections can help pin down
the sign and the size of the top-Yukawa coupling. Here we perform a detailed
study with full detector simulations of such a possibility at the LHC-14 within
the current allowed range of hWW and top-Yukawa couplings, using h-> b b-bar,
\gamma\gamma, \tau+ \tau-, ZZ* -> 4 l modes. We found that the LHC-14 has the
potential to distinguish the size and the sign of the top-Yukawa coupling.
Among the channels the h-> b b-bar mode mode provides the best chance to probe
the signal, followed by the h -> \gamma\gamma\ mode, which has the advantage of
a narrow reconstructed mass peak. We also pointed out that the spatial
separation among the final-state particles has the potential in differentiating
among various values of the top-Yukawa coupling.
