Light higgsino in heavy gravitino scenario with successful electroweak symmetry breaking

We consider, in the context of the minimal supersymmetric standard model the case where the gravitino weighs 10⁶ GeV or more, which is preferred by various cosmological difficulties associated with unstable gravitinos. Despite the large Higgs mixing parameter B together with the little hierarchy to other soft supersymmetry breaking masses, a light higgsino with an electroweak scale mass leads to successful electroweak symmetry breaking, at the price of fine-tuning the higgsino mixing μ parameter. Furthermore the light higgsinos produced at the decays of gravitinos can constitute the dark matter of the universe. The heavy squark mass spectrum of 0(10⁴) GeV can increase the Higgs boson mass to about 125 GeV or higher.