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We study the anomalous production of a single top quark in association with aHiggs boson at the LHC originating from flavor changing neutral current (FCNC)interactions in $tqg$ and $tqH$ vertices. We derive the discovery potentialsand $68\%$ C.L. upper limits considering leptonic decay of the top quark andthe Higgs boson decay into a $b\bar{b}$ pair with 10 fb$^{-1}$ integratedluminosity of data in proton-proton collisions at the center-of-mass energy of14 TeV. We propose a charge ratio for the lepton in top quark decay in terms oflepton $p_{T}$ and $\eta$ as a strong tool to observe the signal. Inparticular, we show that the charge ratio increases significantly at large$p_{T}$ of the charged lepton. While the main background from $t\bar{t}$ isnearly charge symmetric and $W+jets$ background has much smaller charge ratiowith respect to the signal. We show that this feature can also be used in theprobe of anomalous single top production with a $Z-$boson or a photon which areunder the attention of the experimental collaborations.

Probing the Anomalous FCNC Interactions in Top-Higgs Final State and Charge Ratio Approach