  We study preheating in DBI hybrid inflation. Preheating occurs since the
matter fields are non-minimally coupled to the inflaton. Despite the coupling
being small, preheating happens as a narrow parametric resonance in which
matter fields and inflaton modes are exponentially created. We show that,
within the approximations used, the process is very efficient at late times.
The resonance stage gives way to the decay of the inflaton into bosonic or
fermionic degrees of freedom and the corresponding reheating temperature is
determined.
