Abstract
In this paper, we investigated the process $pp\ensuremath{\rightarrow}{W}^{\ensuremath{-}}hj$ induced by the top-Higgs flavor-changing neutral current couplings at the LHC. We found that the cross section of $pp\ensuremath{\rightarrow}{W}^{\ensuremath{-}}hj$ mainly comes from the resonant process $pp\ensuremath{\rightarrow}{W}^{\ensuremath{-}}t\ensuremath{\rightarrow}{W}^{\ensuremath{-}}hq$ due to the anomalous $tqH$ couplings (where $q$ denotes up and charm quarks). We further studied the observability of the top-Higgs flavor-changing neutral current couplings through the process $pp\ensuremath{\rightarrow}{W}^{\ensuremath{-}}(\ensuremath{\rightarrow}{\ensuremath{\ell}}^{\ensuremath{-}}{\overline{\ensuremath{\nu}}}_{\ensuremath{\ell}})h(\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma})j$ and found that the branching ratios $\mathrm{Br}(t\ensuremath{\rightarrow}qh)$ can be probed to 0.16% at $3\ensuremath{\sigma}$ level at 14 TeV LHC with an integrated luminosity of $3000\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$.
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