Lower Bound on the Garvitino Mass $m_{3/2}>O(100)$ TeV in $R$-Symmetry Breaking New Inflation

Abstract

In supersymmetric theories, the $R$ symmetry plays a unique role in suppressing a constant term in the superpotential. In single chiral field models of spontaneous breaking of a discrete $R$ symmetry, an $R$-breaking field can be a good candidate for an inflaton in new inflation models. In this paper, we revisit the compatibility of the single-field $R$-breaking new inflation model with the results of the Planck experiment. As a result, we find that the model predicts a lower limit on the gravitino mass, $m_{3/2}>O(100)$ TeV. This lower limit is consistent with the observed Higgs mass of 126 GeV when the masses of the stops are of order the gravitino mass scale.

22 pages, 7 figures

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• Gravitational Waves from Metastable Cosmic Strings in Supersymmetric New Inflation Model
• High-scale SUSY from an R-invariant New Inflation in the Landscape
• New Inflation in the Landscape and Typicality of the Observed Cosmic Perturbation
• Search for dark matter using sub-PeV $\mathbf{\gamma }$-rays observed by Tibet AS${}_{\mathbf{\gamma }}$
• LHAASO Galactic Plane $\gamma$-rays Strongly Constrain Heavy Dark Matter