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The recent discovery of a new boson at the LHC, which resembles a SM-likeHiggs boson with $m_h=125$ GeV, is starting to provide strong guidelines intoSUSY model building. For instance, the identification of such a state with thelightest CP-even Higgs boson of the MSSM ($h^0$), requires large values of$\tan\beta$ and/or heavy sfermions. One outcome of this result is thepossibility to solve the SUSY flavor and CP problems by decoupling, whichpoints towards some realization of Split-inspired SUSY scenarios, in whichscalars are much heavier than gauginos and higgsinos. However, we argue herethat the remaining Higgs bosons of the MSSM ($H^0$, $A^0$, $H^{\pm}$) do nothave to be as heavy as the sfermions, and having them with masses near the EWscale does not pose any conflict with current MSSM constraints. We discuss thensome SUSY scenarios with heavy sfermions, from a bottom-up approach, whichcontain the full Higgs sector, as well as a possible dark matter candidate,with masses near the EW scale, and identify distinctive signals from thesescenarios that could be searched at the LHC.

Decays of $H^0/A^0$ in supersymmetric scenarios with heavy sfermions