We study soft leptogenesis in gauge mediated supersymmetry breaking models with an enhanced A-term for the right-handed neutrino. We find that this scenario can explain the baryon asymmetry of the present universe, consistently with the gravitino dark matter for a wide range of gravitino mass m 3 / 2 = O ( MeV ) – O ( GeV ) . We also propose an explicit model which induces the necessary A-term for the right-handed neutrino.
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