  The MSSM contains CP-violating phases that may have important observable
effects in Higgs physics. We review recent highlights in Higgs phenomenology
obtained with the code CPsuperH, a useful tool for studies of the production,
mixing and decay of a coupled system of the neutral Higgs bosons at future high
energy colliders such as the LHC, ILC ($\gamma$LC), and a muon collider (MC).
CPsuperH implements the constraints from upper limits on electric dipole
moments, and may be extended to include other related low-energy observables,
such as b -> s \gamma and B -> K l l, and to compute the relic abundance of the
lightest neutralino.
