Abstract
An effective two-doublet Higgs potential that involves complex-valued parameters and whose CP invariance is violated both explicitly and spontaneously is considered. The problem of diagonalizing the mass term of this potential at a local minimum is solved. The eigenstates of Higgs bosons and their mass spectrum are obtained for the special case of the two-doublet Higgs sector of the minimal supersymmetric model, where the CP invariance of the effective potential is violated owing to the interactions of the Higgs fields with the third-generation scalar quarks.
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