Abstract
In this paper we discuss a minor modification of a previous SU(5)×A5 flavour model which exhibits at leading order golden ratio mixing and sum rules for the heavy and the light neutrino masses. Although this model could predict all mixing angles well it fails in generating a sufficient large baryon asymmetry via the leptogenesis mechanism. We repair this deficit here, discuss model building aspects and give analytical estimates for the generated baryon asymmetry before we perform a numerical parameter scan. Our setup has only a few parameters in the lepton sector. This leads to specific constraints and correlations between the neutrino observables. For instance, we find that in the model considered only the neutrino mass spectrum with normal mass ordering and values of the lightest neutrino mass in the interval 10–18 meV are compatible with the current data on the neutrino oscillation parameters. With the introduction of only one NLO operator, the model can accommodate successfully simultaneously even at 1σ level the current data on neutrino masses, on neutrino mixing and the observed value of the baryon asymmetry.
Highlights
The theoretical explanation for the observed neutrino oscillations and neutrino masses requires physics beyond the Standard Model
We briefly revise the leading order (LO) superpotential for the neutrino sector, which is identical to the original model before we introduce the corrections
They are induced by an additional operator in the superpotential which yields next-to-leading order (NLO) corrections to the Yukawa couplings while the right-handed neutrino Majorana mass matrix remains unaffected
Summary
Since the light neutrino masses are generated via the type-I-seesaw mechanism in [2] the Baryogenesis through leptogenesis mechanism can be implemented. In this mechanism the dynamically generated lepton asymmetry is converted into a baryon asymmetry due to sphaleron. We will see that the original model cannot accommodate for the observed value of the baryon asymmetry due to the structure of the neutrino Yukawa matrix. We discuss the predictions for the mixing parameters including the phases as well as for the sum of the neutrino masses, the observable in neutrinoless double beta-decay, the kinematic mass mβ and for the generated baryon asymmetry.
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