  We study general Lorentz invariant theories of massive gravitons. We show
that, contrary to the standard lore, there exist consistent theories where the
graviton mass term violates Pauli-Fierz structure. For theories where the
graviton is a resonance this does not imply the existence of a scalar ghost if
the deviation from Pauli-Fierz becomes sufficiently small at high energies.
These types of mass terms are required by any consistent realization of the DGP
model in higher dimension.
