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

Abstract

We propose a novel reformulation of supersymmetric (more precisely $\mu$-) hybrid inflation based on a local U(1) or any suitable extension of the minimal supersymmetric standard model (MSSM) which also resolves the $\mu$ 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 ($T_r\lesssim 10^6$ 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.

5 pages, 4 figures, revised version to appear in Physics Letters B

References in corpus (4)

• Big-Bang Nucleosynthesis and Gravitino
• Non-Minimal Inflation after WMAP3
• Non-Minimal Quartic Inflation in Supersymmetric SO(10)
• Diphoton resonances in a U(1)_{B-L} extension of the minimal supesymmetric standard model

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• Supersymmetric hybrid inflation and current-carrying metastable cosmic strings in $SU(4{)}_c\times SU(2{)}_L\times U(1{)}_R$
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