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We study the process $e^-e^+\to ZH$ where $H$ represents the standard model(SM) Higgs particle $H_{SM}$, or the MSSM ones $h^0$ and $H^0$. In each case,we compute the one-loop effects and establish very simple expressions, calledsupersimple (sim), for the helicity conserving (dominant) and the helicityviolating (suppressed) amplitudes. Such expressions, are then used to constructvarious cross sections and asymmetries, involving polarized or unpolarizedbeams and Z-polarization measurements. We examine the adequacy of suchexpressions to distinguish SM or MSSM effects, from other types of BSM (beyondthe standard model) contributions.

Supersimple analysis of $e^-e^+\to ZH$ at high energy