Dynamical determination of the Supersymmetric Higgs mass

Abstract

Considering the supersymmetric Higgs mass ($μ$-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 $μ$ has a nonzero value close to the weak scale. This scenario offers a simultaneous solution to the doublet-triplet splitting problem and to the $μ$-problem. We discuss its viability in theories with gauge mediated supersymmetry breaking.