Flat manifold leptogenesis in the supersymmetric standard model
Abstract
Flat manifold leptogenesis a la Affleck-Dine is investigated with the slepton and Higgs fields, L, Hu, Hd, in the supersymmetric standard model. The multi-dimensional motion of these scalar fields is realized in the case that the L Hu and Hu Hd directions are comparably flat with the relevant non-renormalizable superpotential terms. Soon after the inflation, the lepton number asymmetry appears to fluctuate due to this multi-dimensional motion involving certain CP violating phases. Then, it is fixed to some significant non-zero value for the successful baryogenesis when the scalar fields begin to oscillate with rotating phases driven by the quartic coupling from the superpotential term he L Hd ec with he 10-5 - 10-3. The Hubble parameter Hosc at this epoch for the completion of leptogenesis is much larger than the gravitino mass m3/2 103 GeV. The thermal terms may even play a cooperative role in this scenario of early leptogenesis. The lightest neutrino mass can be 10-4 eV, if the reheating temperature is allowed to be 1010 GeV.
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