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Recent anomalies in cosmic rays could be due to dark matter annihilation inour galaxy. In order to get the required large cross-section to explain thedata while still obtaining the right relic density, we rely on a non standardthermal history between dark matter freeze-out and Big-Bang Nucleosynthesis(BBN). We show that through a reheating phase from the decay of a heavy modulior even the gravitino, we can produce the right relic density of dark matter ifits self-annihilation cross-section is large enough. In addition to fitting therecent data, this scenario solves the cosmological moduli and gravitinoproblems. We illustrate this mechanism with a specific example in the contextof U(1)_{B-L} extended MSSM where supersymmetry is broken via mirage mediation.These string motivated models naturally contain heavy moduli decaying to thegravitino, whose subsequent decay to the LSP can reheat the universe at a lowtemperature. The right-handed sneutrino and the B-L gaugino can both be viabledark matter candidates with large cross-section. They are leptophilic becauseof B-L charges. We also show that it is possible to distinguish the non-thermalfrom the thermal scenario (using Sommerfeld enhancement) in direct detectionexperiments for certain regions of parameter space.

Mirage in the Sky: Non-thermal Dark Matter, Gravitino Problem, and Cosmic Ray Anomalies