Partial split supersymmetry with bilinear R-parity violation allows one to reproduce all neutrino mass and mixing parameters. The viable dark matter candidate in this model is the gravitino. We study the hypothesis that both possibilities are true: partial split supersymmetry explains neutrino physics and dark matter is actually composed of gravitinos. Since the gravitino has a small but nonzero decay probability, its decay products could be observed in astrophysical experiments. Combining bounds from astrophysical photon spectra with the bounds coming from the mass matrix in the neutrino sector we derive a stringent upper limit for the allowed gravitino mass. This mass limit is in good agreement with the results of direct dark matter searches.

• Received 7 June 2011

DOI:https://doi.org/10.1103/PhysRevD.84.055007