Lower bound on the gravitino massm3/2>O(100) TeVinR-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, ${m}_{3/2}>O(100)\text{ }\text{ }\mathrm{TeV}$, assuming that the $R$-symmetry breaking is dominantly induced by the inflaton and the inflaton dynamics is not affected by the supersymmetry-breaking sector, which can be guaranteed by symmetry or compositeness of the supersymmetry-breaking sector. This lower limit is consistent with the observed Higgs mass of 126 GeV when the masses of the top squarks are of order the gravitino mass scale. We also show that the baryon asymmetry of the Universe as well as the observed dark matter density can be consistently explained along with the $R$-breaking new inflation model, assuming leptogenesis and that the wino is the lightest supersymmetric particle.