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Bounds are derived for the dimensionless factors that enter in the violation of CP invariance in Higgs-boson exchange. In particular, for the class of theories with two scalar SU (2) (1) doublets plus any other scalars whose expectation values do not break SU (2) (1), the magnitude of the parameter ImZ₂, which appears in the dominant neutral-Higgs-boson-exchange contribution to the neutron electric dipole moment, is bounded by 12 ({r^2+r^4) }^1{2}, where r is a ratio of the magnitudes of scalar vacuum expectation values. It is shown that this bound can actually be reached in realistic models.
Steven Weinberg (Wed,) studied this question.