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In supersymmetric models a large average stop mass is well known to both boost the lightest Higgs boson mass m_h and also make radiative electroweak-symmetry breaking unnaturally tuned.
The case of 'maximal mixing' of the stops allows them to be as light as possible for a given m_h.
Here we make the distinction between minimal stop mass and optimal naturalness, and calculate the latter.
The splitting between the two stop mass eigenvalues is shown to be unconstrained by naturalness considerations.
We introduce the NMSSM and explain its potential utility and limitations for boosting the Higgs mass naturally.
We touch upon exotic Higgs decays and their searches in the NMSSM and beyond.
