Charged Higgs Production at Linear Colliders in Large Extra Dimensions

In the Two-Higgs-Doublet Model(2HDM) with large extra dimensions(LED), we study the contributions of virtual Kaluza-Klein(KK) gravitons to 2HDM charged Higgs production, especially in the two important production processes $e^+e^-\to H^+H^-$ and $e^+e^-\to H^-t\bar{b}$, at future linear colliders (LC). We find that KK graviton effects can significantly modify these total cross sections and also their differential cross sections compared to their respective 2HDM values and, therefore, can be used to probe the effective scale $\Lambda_T$ up to several TeV. For example, at $\sqrt{s}=2$ TeV, the cross sections for $e^+e^-\to H^+H^-$ and $e^+e^-\to H^-t\bar{b}$ in the 2HDM are 7.4fb for $m_{H^-}=150$ GeV and 0.003fb for $m_{H^-}=1.1$ TeV and $\tan\beta=40$, while in LED they are 12.1fb and 0.01fb, respectively, for $\Lambda_T=4$ Tev.