CP VIOLATION IN THE DECAY OF THE NEUTRAL HIGGS-BOSON INTO T-(T)BAR AND W(-W-())

We investigate a potentially large CP violating asymmetry in the neutr al Higgs boson decay into a heavy quark pair or a W+-W-pair. The sourc e of the CP nonconservation is in the Yukawa couplings of the Higgs bo son which can contain both scalar and pseudoscalar pieces. One of the interesting consequences is the different rates of the Higgs boson dec ays into CP conjugate polarized states. The required final state inter actions can be either the strong or the electroweak interactions. The CP violating asymmetry can manifest itself in the asymmetry in the ene rgies of the secondary decay products of these heavy quarks and W boso ns. Such asymmetry can be measureable in future colliders such as SSC or LHC.