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Gravity Waves and Gravitino Dark Matter in μ\mu-Hybrid Inflation

Abstract

We propose a novel reformulation of supersymmetric (more precisely μ\mu-) hybrid inflation based on a local U(1) or any suitable extension of the minimal supersymmetric standard model (MSSM) which also resolves the μ\mu problem. We employ a suitable Kahler potential which effectively yields quartic inflation with non-minimal coupling to gravity. Imposing the gravitino Big Bang Nucleosynthesis (BBN) constraint on the reheat temperature (Tr106T_r \lesssim 10^6 GeV) and requiring a neutralino LSP, the tensor to scalar ratio (rr) has a lower bound r0.004r \gtrsim 0.004. The U(1) symmetry breaking scale lies between 10810^8 and 101210^{12} GeV. We also discuss a scenario with gravitino dark matter whose mass is a few GeV.Comment: 5 pages, 4 figures, revised version to appear in Physics Letters

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