New inflation in supergravity after Planck and LHC
  We revisit a single-field new inflation model based on a discrete R symmetry.
Interestingly, the inflaton dynamics naturally leads to a heavy gravitino of
mass m_3/2 = O(1-100) TeV, which is consistent with the standard-model like
Higgs boson of mass mh = 126 GeV. However, the predicted spectral index n_s =
0.94 is in tension with the Planck result, n_s = 0.9603+-0.073. We show that
the spectral index can be increased by allowing a small constant term in the
superpotential during inflation. The required size of the constant is close to
the largest allowed value for successful inflation, and it may be a result of a
pressure toward larger values in the landscape. Alternatively, such constant
term may arise in association with supersymmetry breaking required to cancel
the negative cosmological constant from the inflaton sector.
