Charged Higgs Pair Production in THDM Through Photon-photon Collisions at the ILC

In this study, the charged Higgs pair production is analyzed for the minimal extension of the standard model called two-higgs-doublet model. The process $\gamma\gamma\rightarrow H^+H^-$ is calculated at the tree level for the ILC and the numerical analysis is presented for various parameters. The production rate of the charged Higgs boson pair as a function of center-of-mass (CM) energy and the differential cross section as a function of angle between photon and positive charged Higgs boson is presented. The cross section gets high at the low charged Higgs mass and low CM energies. The total integrated cross section of the process is also calculated at a $e^+e^-$-collider by convoluting the $\gamma\gamma\rightarrow H^+H^-$ subprocess with the photon luminosity of the backscattered photons. The total integrated cross section peaks around $\sqrt{s}=650 \;\text{GeV}$ and have a value of $1.4 \;\text{pb}$ for $m_{H^\pm}=100\;\text{GeV/c}^2$. Charged Higgs detection is very important sign for the new physics and the results shows the potential of the ILC for the search of the new physics signals.