Observable r, Gravitino Dark Matter, and Non-thermal Leptogenesis in No-Scale Supergravity

Abstract

We analyse the shifted hybrid inflation in a no-scale SU(5) model with supersymmetry, which naturally circumvents the monopole problem. The no-scale framework is derivable as the effective field theory of the supersymmetric (SUSY) compactifications of string theory, and it yields a flat potential with no anti-de Sitter vacua, resolving the $\eta$ problem. The model predicts a scalar spectral tilt $n_s$ compatible with the most recent measurements by the Planck satellite, while also accommodating observable values of the tensor-to-scalar ratio $r$ ($\sim 0.0015$), potentially measurable by the near-future experiments. Moreover, the proton decay lifetime in the presence of the dimension-5 operators is found to lie above the current limit imposed by the Super-Kamiokande experiment. A realistic scenario of reheating and non-thermal leptogenesis is invoked, wherein the reheating temperature $T_r$ lies in the $\{2\times 10^6\lesssim T_r\lesssim 2\times 10^9\}$ GeV range, and at the same time the gravitino makes a viable dark matter (DM) candidate.

arXiv comment25 pages,6 figures

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• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Radiative Symmetry breaking, Cosmic Strings and Observable Gravity Waves in $U(1{)}_R$ symmetric $SU(5)\times U(1{)}_{\chi }$
• New Inflation in Waterfall Region
• Supersymmetric hybrid inflation and current-carrying metastable cosmic strings in $SU(4{)}_c\times SU(2{)}_L\times U(1{)}_R$
• Modified hybrid inflation in no-scale SUGRA with suppressed $R$-symmetry breaking