Exploring the prominent channel: Charged Higgs pair production in supersymmetric Two-parameter Non-Universal Higgs Model

Abstract

In this study, the charged Higgs pair production is calculated in the context of the supersymmetry at a $\gamma\gamma$-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 $\hat{\sigma}_\text{UU}^\text{LO+NLO}=121\text{ fb}$ at $\sqrt{\hat{s}}=635\text{ GeV}$. The analysis of the cross-section is also given varying the parameters $m_A$ and $\tan\beta$. 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 $1\text{ TeV}$, and it gets up to $42\text{ fb}$ at $\sqrt{s}=900 \text{ GeV}$ depending on the polarization of the initial electron and laser photon.