Abstract
The gravitino problem gives a severe constraint on the thermal leptogenesis scenario. This problemleads us to consider some alternatives to it if we try to keep the gravitino mass around the weak scalem3/2∼100 GeV. Weconsider, in this paper, the non-thermal leptogenesis scenario in the framework of a minimal supersymmetricSO(10) model. Even if we start with the same minimalSO(10) model, we have different predictions for low-energy phenomenologies dependent onthe types of see-saw mechanism. This is the case for leptogenesis: it is shownthat the type-I see-saw model gives a consistent scenario for the non-thermalleptogenesis but the type-II one does not. The predicted inflaton mass neededto produce the observed baryon asymmetry of the universe is found to beMI∼5 × 1011 GeV for the reheatingtemperature TR = 106 GeV.
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