Light Higgsino in Heavy Gravitino Scenario: (Un)natural Solution to the μ/BμProblem

Physics – High Energy Physics – High Energy Physics - Phenomenology

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13 pages, 3 figures

Scientific paper

We consider, in the context of the minimal supersymmetric standard model, the case where the gravitino weighs 10^6 GeV or more, which is preferred by various cosmological difficulties associated with unstable gravitinos. The large Higgs mixing parameter B together with the little hierarchy to other soft supersymmetry breaking masses causes a serious \mu/B\mu problem. We show that a light higgsino with an electroweak scale mass provides a simple solution to this problem, where the higgsino mixing \mu parameter is tuned for the electroweak symmetry breaking to take place. Furthermore the light higgsinos produced at the decays of gravitinos can constitute the dark matter of the universe. The heavy squark mass spectrum of O(10^4) GeV can increase the Higgs boson mass to about 125 GeV or higher.

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