Probing a 2HDM Type-I light Higgs state via $H_{\mathrm{S}\mathrm{M}}\to hh\to b\bar{b}\gamma \gamma$ at the LHC

We study the discovery potential for a light Higgs boson via $gg\to H_{\text{SM-like}}\to hh\to b\bar{b}\gamma \gamma$ process at the Large Hadron Collider (LHC). Focusing on the 2-Higgs Doublet Model (2HDM) Type-I, which can accommodate light neutral Higgs states, of $\mathcal{O}(100)$ GeV or less in mass, while agreeing with theoretical and up-to-date experimental constraints, we explore the feasibility of a light CP-even Higgs state $h$ via the largely unexplored final state $b\bar{b}\gamma \gamma$ at Run-3 of the LHC. We further propose a few Benchmark Points (BPs) for future searches.