A possible relation between leptogenesis and PMNS phases

The CP phase relevant in the leptogenesis is related to the PMNS phase in case only one CP phase appears in the full theory. Thus, the CP phase is introduced by spontaneous CP violation at a high energy scale toward realizing the successful Kobayashi-Maskawa electroweak CP violation. This phase is in a complex vacuum expectation value of a standard model singlet field. We find new $W$ boson exchange diagrams for leptogenesis. Assuming that the lightest (intermediate scale) Majorana lepton $N_0$ dominates the lepton asymmetry, the lepton asymmetry and the PMNS phase are related.