Detecting the MSSM Higgs Bosons at Future $e^+e^-$ Colliders

Abstract

We investigate the possibility of detecting the Higgs bosons predicted in the Minimal Supersymmetric extension of the Standard Model $(h^0, H^0, A^0, H^\pm)$, with the reactions $e^{+}e^{-}\to b\bar b h^0 (H^0, A^0)$, and $e^+e^-\to τ^-\bar ν_τH^+, τ^+ν_τH^-$, using the helicity formalism. We analyze the region of parameter space $(m_{A^0}-\tanβ)$ where $h^0, H^0, A^0$ and $H^\pm$ could be detected in the limit when $\tanβ$ is large. The numerical computation is done considering two stages of a possible Next Linear $e^{+}e^{-}$ Collider: the first with $\sqrt{s}=500$ $GeV$ and design luminosity 50 $fb^{-1}$, and the second with $\sqrt{s}=1$ $TeV$ and luminosity 100-200 $fb^{-1}$.