'Publishing House for Science and Technology, Vietnam Academy of Science and Technology'
Abstract
We study a leptogenesis scenario in which the heavy Majorana neutrinos are produced non-thermally in inflaton decays in the supersymmetric economical SU(3)C⊗SU(3)L⊗U(1)X model with inflationary scenario. The lepton-number violating interactions among the inflaton and right-handed neutrinos appear at the one-loop level, and this is a reason for non-thermal leptogenesis scenario. The bound followed from the gravitino abundance and the cosmological constraint on neutrino mass/the neutrino oscillation data is: mν3≃δeff0.05 eV. By taking the reheating temperature as low as TR=106 GeV, we get a limit on the ratio of masses of the light heavies neutrino to those of the inflaton to be: MϕMR1=0.87