Dynamical determination of the Supersymmetric Higgs mass

Considering the supersymmetric Higgs mass ($\mu$-parameter) as a dynamical variable to be determined by minimizing the energy, we predict its value as a function of the soft masses of the potential. We find that $\mu$ has a nonzero value close to the weak scale. This scenario offers a simultaneous solution to the doublet-triplet splitting problem and to the $\mu$-problem. We discuss its viability in theories with gauge mediated supersymmetry breaking.