In a more general electroweak theory, there could be Higgs particles t
hat are odd under CP, and also Higgs-like particles which are not eige
nstates of CP. We discuss distributions which for the Bjorken process
are sensitive to the CP parity. Correlations among momenta of the init
ial electron and final-state fermions yield this kind of information.
We discuss also observables which may demonstrate the presence of CP v
iolation and identify a phase shift delta which is a measure of the st
rength of CP violation in the Higgs-vector-vector coupling, and which
can be measured directly in the decay distribution. In the context of
discriminating between CP eigenstates, we present Monte Carlo data on
the expected efficiency, and conclude that at a future linear collider
it will be relatively easy to determine whether the candidate Higgs p
article is even or odd under CP. This does not appear possible at LEP2
.