Leptogenesis in Supersymmetric Standard Model with Right-handed Neutrino

Abstract
We show that the leptogenesis is automatic within the supersymmetric standard model if there exist right-handed neutrinos with mass less than $H_{\it inf}$, the expansion rate during the inflation. Its scalar component grows during the inflation due to the quantum fluctuation, oscillates coherently after the inflation, and its decay generates lepton asymmetry. The scenario is naturally embedded into $SO(10)$ GUT without any modifications. We also discuss the case with heavier right-handed neutrino.

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