μ-term hybrid inflation and split supersymmetry

Abstract

We consider μ-term hybrid inflation which, in its minimal format with gravity mediated supersymmetry breaking, leads to split supersymmetry. The MSSM μ-term in this framework is larger than the gravitino mass mG, and successful inflation requires mG (and hence also |μ|) ≳5×107 GeV, such that the gravitino decays before the LSP neutralino freezes out. Assuming universal scalar masses of the same order as mG, this leads to split supersymmetry. The LSP wino with mass ≃ 2 TeV is a plausible dark matter candidate, the gluino may be accessible at the LHC, and the MSSM parameter tan⁡β≃1.7 in order to be compatible with the measured Higgs boson mass. The tensor-to-scalar ratio r, a canonical measure of gravity waves, can be as high as 0.001.