Leptogenesis in Supersymmetric Economical 3-3-1 Model

Abstract

We study a leptogenesis scenario in which the heavy Majorana neutrinos are produced non-thermally in inflaton decays in the supersymmetric economical $\mathrm{SU}(3)_C\otimes \mathrm{SU}(3)_L \otimes \mathrm{U}(1)_X$ 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: $m_{\nu 3} \simeq \frac{0.05}{\delta_{eff}}$ eV. By taking the reheating temperature as low as $T_R= 10^6$ GeV, we get a limit on the ratio of masses of the light heavies neutrino to those of the inflaton to be: $\frac{M_{R1}}{M_{\phi}} = 0.87$