Leptogenesis in the minimal flipped $SU(5)$ unification

We study the prospects of thermal leptogenesis in the framework of the minimal flipped $SU(5)$ unified model in which the RH neutrino mass scale emerges as a two-loop effect. Despite its strong suppression with respect to the unification scale which tends to disfavor leptogenesis in the standard Davidson-Ibarra regime (and a notoriously large washout of the $N_1$-generated asymmetry owing to a top-like Yukawa entry in the Dirac neutrino mass matrix) the desired $\eta_B\sim 6\times 10^{-10}$ can still be attained in several parts of the parameter space exhibiting interesting baryon and lepton number violation phenomenology. Remarkably enough, in all these regions the mass of the lightest LH neutrino is so low that it yields $m_\beta \lesssim 0.03$ eV for the effective neutrino mass measured in beta-decay, i.e., an order of magnitude below the design sensitivity limit of the KATRIN experiment. This makes the model potentially testable in the near future.