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The absence of a signal of supersymmetric partners at the LHC up to the mass range of 1–2 TeV increased an interest in the “heavy supersymmetry” scenarios of the minimal supersymmetric standard model (MSSM). In such scenarios, acceptable domains of the MSSM parameter space are rather limited, though the reliability of constraints on them is ensured by the precision of quantum correction calculations in the Higgs sector. As a rule, only quartic corrections are taken into account, however, self-interactions of Higgs fields acquire additional higher-order terms that can affect significantly the Higgs mass spectrum. At the one-loop, the resummed potential in the decomposition of the Coleman-Weinberg type potential can be written with additional dimension-six operators. Symbolic expressions for the threshold corrections induced by F- and D-soft supersymmetry breaking terms are derived. The Higgs boson mass spectrum respecting the mass of 125 GeV for the lightest CP-even scalar h, alignment, and decoupling limits is evaluated.