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We investigate the anomalous flavour changing neutral current (FCNC)interactions of top quark through the process $e^{-}p\to e^{-}W^{\pm}q+X$. Wecalculate the signal and background cross sections in electron protoncollisions at Large Hadron electron Collider (LHeC) with a 7 TeV proton beamfrom the LHC and a new 60 GeV electron beam from energy recovery linac (ERL).We study the relevant background processes including one electron and threejets in the final state. The distributions of the invariant mass of two jetsand an additional jet tagged as $b$-jet are used to account signal andbackground events after the analysis cuts. We find upper bounds on anomalousFCNC couplings $\lambda$ of the order of $10^{-2}$ at LHeC for a luminosityprojection of $100$ fb$^{-1}$ together with the fast simulation of detectoreffects. As a matter of interest, we analyze the sensitivity to the couplings$(\lambda_{u},\lambda_{c})$ and find an enhanced sensitivity to $\lambda_{c}$at the LHeC when compared to the results from the HERA.

Probing the Anomalous FCNC tqgamma Couplings at Large Hadron electron Collider