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