Abstract
We investigate the generation of the baryon asymmetry of the Universe within a SUSY SU(5)×T′ model of flavour, which gives rise to realistic masses and mixing patterns for quarks and leptons. The model employs the see-saw mechanism for generation of the light neutrino masses and the baryon asymmetry is produced via leptogenesis. We perform detailed calculations of both the CP violating lepton asymmetries, originating from the decays of the heavy Majorana neutrinos operative in the see-saw mechanism, and of the efficiency factors which account for the lepton asymmetry wash-out processes in the Early Universe. The latter are calculated by solving numerically the system of Boltzmann equations describing the generation and the evolution of the lepton asymmetries. The baryon asymmetry in the model considered is proportional to the JCP factor, which determines the magnitude of CP violation effects in the oscillations of flavour neutrinos. The leptogenesis scale can be sufficiently low, allowing to avoid the potential gravitino problem.
Highlights
We investigate the generation of the baryon asymmetry of the Universe within a SUSY SU (5)×T ′ model of flavour, which gives rise to realistic masses and mixing patterns for quarks and leptons
The model employs the see-saw mechanism for generation of the light neutrino masses and the baryon asymmetry is produced via leptogenesis
The baryon asymmetry in the model considered is proportional to the JCP factor, which determines the magnitude of CP violation effects in the oscillations of flavour neutrinos
Summary
In the present article we consider the generation of the baryon asymmetry of the Universe in the SUSY model of flavour based on the SU (5) × T ′ symmetry, which was developed in [1, 2]. Since the neutrino masses, the neutrino mixing angle and the CP violating phases in the PMNS matrix have essentially fixed values, the model provides specific predictions [6] for the sum of the three neutrino masses, m1 + m2 + m3 ∼= 5.9 × 10−2 eV ,. It should be clear from the preceding discussion that the SU (5) × T ′ model of flavour of interest is remarkably predictive: the values of the neutrino masses, the type of the neutrino mass spectrum, the values of the neutrino mixing angles and the CP violating phases in the neutrino mixing matrix, as well as the effective Majorana mass in neutrinoless double beta decay, obtained in the model are essentially free of ambiguities. The results we obtain for the lepton asymmetries ǫli do not agree with those found in [27] and our results for the baryon asymmetry contradict the claims made in [27]
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