Study of the $tH$ production at 14TeV and 100TeV $pp$ colliders

The flavor-changing neutral current interactions in the standard model are suppressed seriously and such interactions can be used to search the new physics beyond SM. The top quark and Higgs bosons are heavier than the other particles in SM, we can expect the new physics plays a more important role in their interactions. In this work, we study the flavor-changing neutral current interactions between the top quark $\bar{t}q H$ through the production of the single top associated with a Higgs boson on 14TeV and 100TeV $pp$ colliders. We consider the leptonic decay channels of Higgs and study the signal. We find a sensitive region $0.4\leq\Delta R\leq1.4$ for the leptons from Higgs bosons and $\Delta R\geq1.8$ between the jets from top quark and leptons. We investigate the detective abilities of the hadron colliders for the processes. Although this process seems not comparable with $pp\to t\bar{t}$ with $t\to H q$ decay, it is still attractive since this process can be used to distinguish the $y_{tu}$ and $y_{tc}$.