Lightest Neutral Higgs Pair Production in Photon-photon Collisions in the Minimal Supersymmetric Standard Model

Abstract

The cross sections for the lightest neutral Higgs pair production at the one-loop level in photon-photon collisions are calculated in the Minimal Supersymmetric Standard Model(MSSM). We find that the contributions to the lightest Higgs boson pair production cross sections arising from the genuine supersymmetric virtual particles dominate over that arising from the virtual particles in the two-Higgs-doublet model (2HDM) if there are mixing between the right- and left-handed stops, otherwise, the contributions from ones in the 2HDM are dominant. We present the detailed numerical results of the cross sections of the process $e^+e^-\to γγ\to h_0h_0$ in both beamstrahlung and laser back scattering photon modes at the Next Linear Collider (NLC). The cross sections are typically in the range of $10^{-3}fb $ to $10^5 fb$ depending on the choice of the mass of the lightest neutral Higgs boson, $\tanβ$ and photon collision modes, especially whether there are mixing between the stops.