Probing Heavy Charged Higgs Boson Using Multivariate Technique at Gamma-Gamma Collider

The current study explores the production of charged Higgs particles through photon-photon collisions within the Two Higgs Doublet Model context, including one-loop-level scattering amplitude of Electroweak and QED radiation. The cross-section has been scanned for plane ($m_{\phi^{0}}, \sqrt{s}$) investigating the process of $\gamma\gamma \rightarrow H^{+}H^{-}$. Three particular numerical scenarios low-$m_{H}$, non-alignment, and short-cascade are employed. Hence using $h^{0}$ for low-$m_{H^{0}}$ and $H^{0}$ for non-alignment and short-cascade scenario, the new experimental and theoretical constraints are applied.The decay channels for charged Higgs particles are examined in all the scenarios along with the analysis for cross-sections revealing that at low energy it is consistently higher for all scenarios. However as $\sqrt{s}$ increases, it reaches a peak value at 1$~$TeV for all benchmark scenarios. The branching ratio of the decay channels indicates that for non-alignment, the mode of decay $W^{\pm} h^{0}$ takes control %{} when $BR(H^{\pm} \rightarrow W^{\pm} H^{0})$ decreases at larger values of $m_{H^{0}}$.} and for short cascade the prominent decay mode remains $t\bar{b}$, while in the low-$m_{H}$ the dominant decay channel is of $W^{\pm} h^{0}$. In our research, we employ contemporary machine-learning methodologies to investigate the production of high-energy Higgs Bosons within a 3$$TeV Gamma-Gamma collider. We have used multivariate approaches such as Boosted Decision Trees (BDT), LikelihoodD, and Multilayer Perceptron (MLP) to show the observability of heavy-charged Higgs Bosons versus the most significant Standard Model backgrounds. The purity of the signal efficiency and background rejection are measured for each cut value.