  The onset of inflation in hybrid models require fine tuning in the initial
conditions. The inflaton field should have an initial value close to the Planck
scale $M_{P}$, whereas the auxiliary "orthogonal" field must be close to zero
with an extreme accuracy. This problem can be alleviated if the orthogonal
field fastly decays into some states not coupled to the inflaton. Natural
candidates for such states can be the right-handed neutrinos. We show that a
non-trivial evolution of the classic sneutrino fields after inflation offers an
interesting mechanism for generating a correct amount of lepton asymmetry,
which being reprocessed by sphalerons can explain the observed baryon asymmetry
of the Universe. Our scenario implies interesting bounds for the neutrino
masses in the context of seesaw mechanism.
