Radiatively Generated Leptogenesis inS4Flavor Symmetry Models

We study how leptogenesis can be implemented in the seesaw models with S4 flavor symmetry, which lead to the tri-bimaximal neutrino mixing matrix. By considering renormalization groupevolution from a high-energy scale of flavor symmetry breaking (the GUT scale is assumed) to thelow-energy scale of relevant phenomena, the off-diagonal terms in a combination of Dirac Yukawa-coupling matrix can be generated and the degeneracy of heavy right-handed neutrino Majoranamasses can be lifted. As a result, the flavored leptogenesis is successfully realized. We also investigatehow the effective light neutrino mass |〈mee〉| associated with neutrinoless double beta decay can bepredicted along with the neutrino mass hierarchies by imposing the experimental data on the low-energy observables. We find a link between the leptogenesis and the neutrinoless double beta decaycharacterized by |〈mee〉| through a high-energy CP phase ϕ, which is correlated with the low-energyMajorana CP phases. It is shown that the predictions of |〈mee〉| for some fixed parameters of thehigh-energy physics can be constrained by the current observation of baryon asymmetry