Multiple Production of MSSM Neutral Higgs Bosons at High--Energy $e^+e^-$ Colliders

Abstract

The cross sections for the multiple production of the lightest neutral Higgs boson at high--energy $e^+ e^-$ colliders are presented in the framework of the Minimal Supersymmetric extension of the Standard Model (MSSM). We consider production through Higgs--strahlung, associated production of the scalar and the pseudoscalar bosons, and the fusion mechanisms for which we will use the effective longitudinal vector--boson approximation. These cross sections allow one to determine trilinear Higgs couplings $\lambda_{Hhh}$ and $\lambda_{hhh}$, which are theoretically predicted by the Higgs potential.