  We present a model with minimal assumptions for non-thermal leptogenesis with
almost degenerate superheavy right-handed neutrinos in a supersymmetric set up.
In this scenario a gauge singlet inflaton is directly coupled to the
right-handed (s)neutrinos with a mass heavier than the inflaton mass. This
helps avoiding potential problems which can naturally arise otherwise. The
inflaton decay to the Standard Model leptons and Higgs, via off-shell
right-handed (s)neutrinos, reheats the Universe. The same channel is also
responsible for generating the lepton asymmetry, thus requiring no stage of
preheating in order to excite superheavy (s)neutrinos. The suppressed decay
rate of the inflaton naturally leads to a sufficiently low reheat temperature,
which in addition, prevents any wash out of the yielded asymmetry. We will
particularly elaborate on important differences from leptogenesis with on-shell
(s)neutrinos. It is shown that for nearly degenerate neutrinos a successful
leptogenesis can be accommodated for a variety of inflationary models with a
rather wide ranging inflationary scale.
