  A Standard Model-like Higgs near 125 GeV in the MSSM requires multi-TeV stop
masses, or a near-maximal contribution to its mass from stop mixing. We
investigate the maximal mixing scenario, and in particular its prospects for
being realized it in potentially realistic GUT models. We work out constraints
on the possible GUT-scale soft terms, which we compare with what can be
obtained from some well-known mechanisms of SUSY breaking mediation. Finally,
we analyze two promising scenarios in detail, namely gaugino mediation and
gravity mediation with non-universal Higgs masses.
