  It is known that gravitinos are non-thermally produced in inflaton decay
processes, which excludes many inflation models for a wide range of the
gravitino mass. We find that the constraints from the gravitino overproduction
can be greatly relaxed if the supersymmetry breaking field is much lighter than
the inflaton, and if the dynamical scale of the supersymmetry breaking is
higher than the inflaton mass. In particular, we show that many inflation
models then become consistent with the pure gravity mediation with O(100)TeV
gravitino which naturally explains the recently observed Higgs boson mass of
about 125GeV.
