  We consider a new scenario for supersymmetric decaying dark matter without
R-parity violation in theories with goldstini, which arise if supersymmetry is
broken independently by multiple sequestered sectors. The uneaten goldstino
naturally has a long lifetime and decays into three-body final states including
the gravitino, which escapes detection, and two visible particles. The
goldstini low-energy effective interactions are derived, which can be
non-universal and allow the dark matter to be leptophilic, in contrast to the
case of a single sector supersymmetry breaking. In addition, the three-body
decay with a missing particle gives a softer spectrum. Consequently, it is
possible to fit both the positron excess observed by the PAMELA and the total
e+ + e- measurements by the Fermi-LAT using universal couplings to all three
lepton flavors or 100% branching fraction into electrons/positrons, both of
which are disfavored in the conventional scenario of dark matter decays into
two or four visible particles without missing energy.
