Light charged Higgs boson production at the Large Hadron electron Collider

We study the production of a light charged Higgs boson at the future Large Hadron electron Collider (LHeC), through the process $e^{-}p\to {\nu }_e{H}^{-}q$ considering both decay channels $H^{-}\to b\bar{c}$ and $H^- \to \tau \bar \nu_\tau$ in the final state. We analyse these processes in the context of the 2-Higgs Doublet Model Type III (2HDM-III) and assess the LHeC sensitivity to such $H^{-}$ signals against a variety of both reducible and irreducible backgrounds. We confirm that prospects for $H^{-}$ detection in the 2HDM-III are excellent assuming standard collider energy and luminosity conditions.