Finding the CP-violating Higgs bosons at e(+)e(-) colliders - art. no. 075011.

We discuss a general two-Higgs-doublet model with CP violation in the Higgs sector. In general, the three neutral Higgs fields of the model all mix an d the resulting physical Higgs bosons have no definite CP properties. We de rive a new sum rule relating Yukawa and Higgs-Z couplings which implies tha t a neutral Higgs boson cannot escape detection at an e(+)e(-) collider if it is kinematically accessible in Z+ Higgs boson, b (b) over bar+ Higgs bos on and t (t) over bar+ Higgs boson production, irrespective of the mixing a ngles and the masses of the other neutral Higgs bosons. We also discuss mod ifications of the sum rules and their phenomenological consequences in the case when the two-doublet Higgs sector is extended by adding one or more si nglets. A brief discussion of the implications of the sum rules for Higgs b oson discovery at the Fermilab Tevatron and CERN LHC is given. [S0556-2821( 99)05917-2].