Gravitino Dark Matter and Flavor Symmetries
  In supersymmetric theories without R-parity, the gravitino can play the role
of a decaying Dark Matter candidate without the problem of late NLSP decays
affecting Big Bang Nucleosynthesis. In this work, we elaborate on recently
discussed limits on R-parity violating couplings from decays to antideuterons
and discuss the implications for two classes of flavor symmetries: horizontal
symmetries, and Minimal Flavor Violation. In most of the parameter space the
antideuteron constraints on R-parity violating couplings are stronger than
low-energy baryon-number-violating processes. Even in the absence of flavor
symmetries, we find strong new limits on couplings involving third-generation
fields, and discuss the implications for LHC phenomenology. For TeV scale
superpartners, we find that the allowed MFV parameter space is a corner with
gravitino masses smaller than O(10) GeV and small $\tan\beta$.
