Search for Top Quark FCNC Couplings at Future Circular Hadron Electron Collider

A study of single top quark production via flavor changing neutral current interactions at $tq\gamma$ vertices is performed at Future Circular Hadron Electron Collider (FCC-he). The signal cross sections for the process $e^{-}p\to (e^{-}t+e^{-}\bar{t})+X$ in the collision of electron beam with energy $E_e=$ 60 GeV and proton beam with energy $E_p=$ 50 TeV are calculated. In the analysis, the invariant mass distributions of three jets reconstructing top quark mass, requiring one b-tagged jet and other two jets reconstructing the $W$ mass are used to count signal and background events after all selection cuts. The upper limits on the anomalous FCNC $tq\gamma$ coupling are found to be $\lambda_q < $ 0.01 at FCC-he for $L_{int}=100$ fb$^{-1}$ with the fast simulation of detector effects. Signal significance depending on the couplings $\lambda_u$ and $\lambda_c$ is analyzed and an enhanced sensitivity is found to the branching ratio BR($t\to q\gamma$) at the FCC-he when compared to the current experimental results.