CP-odd correlation in the decay of a neutral Higgs boson intoZZ,W+W−, ortt¯

We investigate the possibility of detecting CP-odd angular correlations in the various decay modes of the neutral Higgs boson including the modes of a ZZ pair, a ${\mathit{W}}^{+}$ ${\mathit{W}}^{\mathrm{-}}$ pair, or a heavy quark pair. It is a natural way to probe the CP character of the Higgs boson once it is identified. Final state interactions (i.e., the absorptive decay amplitude) are not required in such correlations. As an illustrative example we take the fundamental source of CP nonconservation to be in the Yukawa couplings of the Higgs boson to the heavy fermions. A similar correlation in the process ${\mathit{e}}^{+}$ ${\mathit{e}}^{\mathrm{-}}$→${\mathit{l}}^{+}$ ${\mathit{l}}^{\mathrm{-}}$H is also proposed. Our analysis of these correlations will be useful for experiments in future colliders such as the CERN LEP II, SSC, CERN LHC, or NLC.