Abstract:
We propose a novel reformulation of supersymmetric (more precisely μ-) hybrid inflation based on a local U(1) or any suitable extension of the minimal supersymmetric standard model (MSSM) which also resolves the μ 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 (\({T}_{r}\lesssim {10}^{6}\) GeV) and requiring a neutralino LSP, the tensor to scalar ratio (r) has a lower bound \(r\gtrsim 0.004\). The U(1) symmetry breaking scale lies between 10\(^{8}\) and 10\(^{12}\) GeV. We also discuss a scenario with gravitino dark matter whose mass is a few GeV.
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