The case for decaying spin-3/2 dark matter
  We couple a sterile neutrino sector to a spin-3/2 particle and show that with
a Planck reduced coupling, we can obtain a sufficiently long lifetime making
the spin-3/2 particle a good dark matter candidate. We show that this dark
matter candidate can be produced during inflationary reheating through the
scattering of Standard Model particles. The relic abundance as determined by
Planck and other experimental measurements is attained for reasonable values of
the reheating temperature $T_{\rm RH} \gtrsim 10^{8}$ GeV. We consider two
possible gauge invariant couplings to the extended Standard Model. We find a
large range of masses are possible which respect the experimental limits on its
decay rate. We expect smoking-gun signals in the form of a monochromatic photon
with a possible monochromatic neutrino, which can be probed in the near future
in IceCube and other indirect detection experiments.
