Single charged Higgs pair production in exclusive processes at the LHC

The production of a single charged Higgs boson pair by photon - photon interactions in $pp$ collisions at the LHC is investigated in this exploratory study. We focus on the exclusive production, which is characterized by intact protons and two - rapidity gaps in the final state, and assume the type - I two - Higgs - doublet model, which still allows a light charged Higgs. Assuming the leptonic $H^{\pm}\rightarrow [\tau\nu_{\tau}]$ decay mode, we derive predictions for the transverse momentum, rapidity and invariant mass distributions of the $\tau^+ \tau^-$ pair for different values of the charged Higgs mass. The contributions of different background processes are also estimated. Our results indicate that the contribution of the exclusive $H^+ H^-$ production for the $[\tau^{+}\nu_{\tau}][\tau^{-} \nu_{\tau}]$ final state is non - negligible and can, in principle, be used to searching for a light charged Higgs.