Exploring the prominent channel: Charged Higgs pair production in supersymmetric two-parameter non-universal Higgs model

In this study, the charged Higgs pair production is calculated in the context of the supersymmetry at a γγ-collider. The channel is explored in Two-parameter Non-Universal Higgs Model where the model provides relatively light neutral and charged Higgs bosons. The computation is extended to one loop-level, and the divergence arising in the loop-diagrams are cured with the radiative photon correction. The production rate of the charged Higgs pair reaches up to ${\stackrel{ˆ}{\sigma }}_{\text{UU}}^{\text{LO+NLO}}=121\phantom{\rule{0.25em}{0ex}}\text{fb}$ at $\sqrt{\stackrel{ˆ}{s}}=635\phantom{\rule{0.25em}{0ex}}\text{GeV}$. The analysis of the cross-section is also given varying the parameters ${m}_{A}$ and $\mathrm{tan}\beta $. The total convoluted cross-section with the photon luminosity in an ${e}^{+}{e}^{-}$ machine is calculated as a function of the center-of-mass energy up to $1\phantom{\rule{0.25em}{0ex}}\text{TeV}$, and it gets up to $42\phantom{\rule{0.25em}{0ex}}\text{fb}$ at $\sqrt{s}=900\phantom{\rule{0.25em}{0ex}}\text{GeV}$ depending on the polarization of the initial electron and laser photon.