Combined Preheating on the lattice with applications to Higgs inflation
  We use classical lattice simulations in 3+1 dimensions to study the interplay
between the resonant production of particles during preheating and the
subsequent decay of these into a set of secondary species. We choose to work in
a simplified version of Higgs inflation in which the Higgs field non-minimally
coupled to gravity plays the role of the inflaton. Our numerical results extend
the analytical estimates in the literature beyond the linear regime and shed
some light on the limitations of the analytical techniques. The inclusion of
fast and inefficient decays postpones the onset of parametric resonance by
depleting the particles produced at the bottom of the potential. In spite of
this delay, fermions are shown to play an important role on the destruction of
the inflaton field. The limitations of our approach and its applications to a
realistic Higgs inflation scenario are also discussed.
