Abstract
We study how leptogenesis can be implemented in the seesaw models withS4flavor 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|〈mee〉|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|〈mee〉|through a high-energy CP phase ϕ, which is correlated with the low-energy Majorana CP phases. It is shown that the predictions of|〈mee〉|for some fixed parameters of the high-energy physics can be constrained by the current observation of baryon asymmetry.
Highlights
The neutrino experimental data can provide an important clue for elucidating the origin of observed hierarchies in the mass matrices of quarks and leptons
We have studied the S4 models in the context of a supersymmetric seesaw model which naturally lead to the TBM form for the lepton mixing matrix
We have shown that these can be achieved by the RG effects from a high-energy scale to the low-energy scale which result in the successful leptogenesis
Summary
The neutrino experimental data can provide an important clue for elucidating the origin of observed hierarchies in the mass matrices of quarks and leptons. In addition to the explanation of smallness of observed neutrino masses, the seesaw mechanism 37–39 has another appearing feature so-called leptogenesis mechanism for generation of observed baryon asymmetry of the Universe BAU , through the decay of heavy right-handed RH Majorana neutrinos 40–44. If this BAU was made via the leptogenesis, the CP violation in leptonic sector is required.
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