Structure of split supersymmetry and simple models

We show the necessary condition for Higgs mass parameters in order for the recently proposed “split supersymmetry” (split-SUSY) scenario to provide the realistic magnitude of tan β. This can be understood by showing how the Higgs sector of the minimal supersymmetric Standard Model reduces to that of the Standard Model in the heavy limit of the soft supersymmetry breaking Higgs mass parameters. Furthermore, we present some simple supersymmetry breaking models which can provide the realistic split-SUSY mass spectrum, according to the magnitude of the gravitino mass (m3/2) comparing to the soft scalar mass (m̃) and the gaugino mass (M1/2), namely m3/2 ≥ m̃, m̃ ≥ m3/2 ≥ M1/2 and M1/2 ≥ m3/2, respectively, with the split-SUSY mass spectrum, m̃ ≫ M1/2. E-mail: [email protected] E-mail: [email protected]