Neutral Higgs boson pair production via $\gamma \gamma$ collision in the minimal supersymmetric standard model at linear colliders

Abstract

We investigate in detail the $\gamma \gamma$ fusion production mechanisms of two neutral Higgs bosons ($h^0{A}^0$, $H^0{A}^0$, $h^0{H}^0$ and $H^0{H}^0$) within the framework of the mSUGRA-inspired minimal supersymmetric standard model(MSSM) at an $e^{+}{e}^{-}$ linear colliders, which provide a probe of the trilinear Higgs self-couplings. We calculate the dependence of the production rates on Higgs boson masses, the ratio of the vacuum expectation values $\tan \beta$ and the CMS energy $\sqrt{s}$. We find that the cross section for the $H^0{H}^0$ production at LC can reach $0.2fb$, while the cross section of $A^0{H}^0$ production is only $10^{-4}\sim 10^{-3}fb$ under our parameters.

Comments: Accepted by Phys. Rev. D