Increasing precision of measurements and observations of excesses at the Large Hadron Clddider require accurate calculations of the SM-like Higgs boson mass in different MSSM regimes with masses of the CP-odd Higgs boson larger and smaller than the mass of top-quark. It is found that while the contributions from radiative corrections to the dimension-six operators of the effective Higgs potential can be neglected at $m_A > m_t$, their contributions at $m_A < m_t$ open the possibility of scenarios with a light pseudoscalar. The values of model parameters in such scenarios are $M_S$=1--2 TeV, $\tan \beta$=2--5, $A_{t,b}, \mu \gtrsim M_S$ which satisfy the conditions of vacuum stability, perturbative unitarity, and the alignment limit.
11.30.Pb Supersymmetry
11.30.Qc Spontaneous and radiative symmetry breaking
11.25.Db Properties of perturbation theory
$^1$Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moskow 119991, Russia.\
$^2$Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moskow 119991, Russia.
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