  We consider an extension of the Standard Model where some Higgs particle is
not an eigenstate of $CP$, and discuss the possibility of extracting signals of
the resulting $CP$ violation. In the case of Higgs decay to four fermions we
study correlations among momenta of the final-state fermions. We discuss
observables which may demonstrate presence of $CP$ violation and identify a
phase shift $\delta$, which is a measure of the strength of $CP$ violation in
the Higgs-vector-vector coupling, and which can be measured directly in the
decay distribution. In addition to these angular correlations, we consider
correlations between energy differences. The former correlations include some
recently reported results, whereas the latter ones appear to provide a much
better probe for revealing $CP$ violation.
