Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына
Московского государственного университета имени М.В. Ломоносова

We consider the effective Higgs potentials of the
MSSM and Next-to-MSSM with complex
parameters, when the CP invariance is broken explicitly and
spontaneously. The diagonal mass term in the local minimum of the
potential is constructed for the physical basis of Higgs fields.
For the special case of the two-doublet
Higgs sector of the MSSM, when CP invariance is violated by the Higgs
bosons interaction with scalar quarks of the third generation, we
calculate the Higgs boson masses and evaluate the two-fermion
Higgs boson decay widths and the widths of rare decays, the effective
self-couplings of Higgs bosons, in the case of maximal CP-mixing which
is significantly different from CP-conserving case.