The Higgs bosons decays in the NMSSM with CP-violation

We investigate the Higgs bosons decay width in the framework of NMSSMin the one-loop approximation. The Higgs sector under consideration contains CP-violation in the general case due to explicit and spontaneous violations of the CP-symmetry. The local minimum conditions for the Higgs bosons physical states are taken into account as necessary requirements. So, calculation of the decay width reduces to the calculation of corresponding processes amplitudes. The strategy of calculation is based on the perturbation theory.