Production of the MSSM higgs bosons at next generation linear $e^+e^-$ colliders

Abstract

We study the production of the Higgs bosons predicted in the Minimal Supersymmetric extension of the Standard Model $(h^0, H^0, A^0, H^\pm)$, with the reactions $e^{+}e^{-}\rightarrow b\bar b h^0 (H^0, A^0)$, and $e^+e^-\to \tau^-\bar \nu_\tau H^+, \tau^+\nu_\tau H^-$, using the helicity formalism. We evaluate the cross section of $h^0, H^0, A^0$ and $H^\pm$ in the limit when $\tan\beta$ 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 $fb^{-1}$.