Prospects for observing a novel photon-induced $H^{-}{H}^{+}$ production at HL-LHC

We study the production of charged scalar boson pairs via photon-induced $H^{-}{H}^{+}$ in $pp$ collisions at the forthcoming High Luminosity Large Hadron Collider (HL-LHC). The predictions are based on the Two-Higgs Doublet Model type-III, since it predicts large branching ratios of the channel decay $H^{\pm }\to {\tau }^{\pm }{\nu }_{\tau }$, which is the one we focus on. Motivated by the current excess of events in the process $\mathcal{B}\mathcal{R}(t\to H^{\pm }b)\times \mathcal{B}\mathcal{R}(H^{\pm }\to cb)$ for $M_{H^{\pm }}=130$ GeV, we explore charged Higgs bosons masses $M_{H^{\pm }}$ among 100-150 GeV. According to benchmarks points allowed by experimental constraints, and including a systematic uncertainty of 5$\mathrm{\%}$, we obtain for the process of $H^{-}{H}^{+}\to \tau {\nu }_{\tau }\tau {\nu }_{\tau }\to e\mu +\text{slashed}{E}_T$ a $\mathit{\text{signal}}\mathit{\text{significance}}$ at $5\sigma$ ($3\sigma$) for $M_{H^{\pm }}=100$ GeV ($100\le M_{H^{\pm }}\le 136$ GeV) with 3000 $f{b}^{-1}$ ($\gtrsim 1000f{b}^{-1}$) integrated luminosity, which would be the last stage foreseen for Large Hadron Collider machine.