  The recent discovery of the putative 125-GeV Higgs boson has motivated a
number of attempts to reconcile its relatively large mass with the predictions
of the minimal supersymmetric standard model (MSSM). Some approaches invoked
large trilinear supersymmetry-breaking terms A_t between stops and one of the
elementary Higgs fields. We consider the possibility that electroweak symmetry
breaking may be triggered by supersymmetry breaking with a large A_t, large
enough to generate a composite field with the same quantum numbers as the Higgs
boson and with a non-vanishing vacuum expectation value. In the resulting
vacuum, the usual relation between the gauge couplings and the Higgs
self-coupling does not apply, and there is no reason to expect the same upper
bound on the mass of the lightest Higgs boson. In a simple model where the
bound state is assumed to have no mixing with the other fields, we calculate
the critical coupling A_t necessary for symmetry breaking using the
lowest-order Bethe-Salpeter (BS) equation. Study of the BS equation is
complicated by the structure of its lowest-order kernel, which is a crossed box
graph, but we find an accurate approximation to its solution. In a realistic
model, the mixing of the bound state with the fundamental Higgs boson creates a
symmetry-breaking seesaw. We outline the steps toward a realistic model.
