Single and pair production of MSSM Higgs bosons as a probe of scalar-pseudoscalar mixing at e+e- colliders

We study the associated production of the $A^0$ neutral CP--odd Higgs boson with a neutral gauge boson $Z$ as well as single production of $A^0$ via $e^+e^- \to \nu_e {\bar\nu}_e A^0$ at the one loop level in the Minimal Supersymmetric Standard Model (MSSM). We show that the MSSM cross--section may be enhanced by light SUSY particles. Then we study the production processes $e^+e^-\to H^0_iZ$, $H^0_i\nu_e\bar \nu_e$ and $H^0_iH^0_j$ in the context of the MSSM with scalar-pseudoscalar mixing. In a given channel we show that the cross--section for all i (=1,2,3) can be above 0.1 fb provided $M_{H_{2,3}}\la 300$ GeV. This should be detectable at a Next Linear Collider and would provide evidence for scalar--pseudoscalar mixing.