Radiatively generated leptogenesis in \(S_4\) flavor symmetry models (Q1949886)

Summary: We study how leptogenesis can be implemented in the seesaw models with \(S_4\) flavor symmetry, which lead to the tri-bimaximal neutrino mixing matrix. By considering renormalization group evolution from a high-energy scale of flavor symmetry breaking (the GUT scale is assumed) to the low-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 Majorana masses can be lifted. As a result, the flavored leptogenesis is successfully realized. We also investigate how the effective light neutrino mass \(|<m_{\ell \ell}>|\) associated with neutrinoless double beta decay can be predicted 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 decay characterized by \(|<m_{\ell \ell}>|\) through a high-energy CP phase \(\varphi \), which is correlated with the low-energy Majorana CP phases. It is shown that the predictions of \(|<m_{\ell \ell}>|\) for some fixed parameters of the high-energy physics can be constrained by the current observation of baryon asymmetry.