Violation of CP invariance in the two-doublet Higgs sector of the MSSM

Problems of substantiation and investigation of CP violation in models with the extended Higgs sector are discussed. The general form of the effective two-doublet Higgs potential with complex parameters whose CP invariance is violated both explicitly and spontaneously is considered. For the special case of the two-doublet Higgs sector of the minimum supersymmetric model in which the CP invariance of the effective potential is violated by the interaction of Higgs fields with third generation scalar quarks, the physical states of Higgs bosons, their masses and interaction constants are obtained. The basic phenomenological scenarios and predictions for investigation of the properties of the Higgs sector are considered.