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.

15 pages in Latex, including 5 figures, uses psfig.sty and epsfig.sty. The complete *.ps file is also available via WWW at http://itpaxp1.physik.uni-karlsruhe.de/prep/prep.html

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