The observed Higgs boson as a scalar of indefinite CP-parity of minimal supersymmetry

The Higgs sector of minimal supersymmetry with explicitly CP violation is considered under the assumption that the lightest neutral Higgs boson without definite CP parity is associated with the observed scalar. The analysis of the alignment limit leads to two possibilities for its realization: 1) the condition $\beta-\alpha \simeq \pi/2$ , known in the CP-conserving limit, is supplemented by $c_1 \simeq 0$, $k_1 \xi_1^{I} =1$; 2) the masses of the Higgs bosons are not decoupled and of the order of the electroweak scale, and $m_H^2 \simeq m_{h_1}^2$, $c_2 \simeq -c_1 \tg (\beta - \alpha)$, $k_1 \xi^{\rm II}_1 \xi^{\rm II}_2 \xi^{\rm II}_3 =1$. CP-violating effects in the alignment limit and the values of CP mixing angle $\alpha_{\rm cp}$ are discussed.