The proposed work is an extension of the Standard Model, where we have introduced two anomaly free gauge symmetries i.e. U (1) B−L and U (1) Le−Lµ in an inverse seesaw framework. For this purpose, we have included three right handed neutrinos N iR , three neutral fermions S iL (i = 1, 2, 3) and two scalar singlet bosons (χ 1 , χ 2 ). We get a definite structure for neutrino mass matrix due to the aforementioned gauge symmetries. Thus, our model is able to predict the neutrino oscillation results which are in accordance with the experimental data and mostly supports normal ordering. The outcome comprises of active neutrino mass, mixing angles, mass square differences, CP violating phase etc. We also discuss neutrinoless double beta decay effective mass parameter m ee which gives a strong evidence on the Majorana nature of neutrinos. Its predicted value is found to be well below the current experimental bounds of KamLAND-Zen, CUORE etc. Furthermore, as the extended gauge symmetries are local, hence, are associated with the corresponding gauge bosons i.e. (Z 1 , Z 2 ), which make our model feasible to explain current results of electron and muon (g − 2) through neutral current interactions.
We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering $$A_4$$ A 4 modular symmetry in the super-symmetric context. In addition, we have included a local $$U(1)_{B-L}$$ U ( 1 ) B - L symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves three fermion triplet superfields $$\Sigma _R$$ Σ R , along with which, we have included a singlet weighton field $$(\rho )$$ ( ρ ) . In here, modular symmetry plays a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function $$\eta (\tau )$$ η ( τ ) . However, for numerical analysis we use q expansion expressions of these couplings. Therefore, the model discussed here is triumphant enough to accommodate the observed neutrino oscillation data and also successfully explains observed baryon asymmetry of the universe through leptogenesis.
We make an attempt to study neutrino phenomenology in the framework of type-III seesaw by considering A 4 modular symmetry in the super-symmetric context. In addition, we have included local U (1) B−L symmetry which eventually helps us to avoid certain unwanted terms in the superpotential. Hitherto, the seesaw being type-III, it involves the fermion triplet superfields Σ, along with which, we have included a singlet weighton field (ρ). In here, modular symmetry plays a crucial role by avoiding the usage of excess flavon (weighton) fields. Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function η(τ ). However, for numerical analysis we use q expansion expressions of these couplings. Therefore, the model discussed here is triumphant enough to accommodate the observed neutrino oscillation data. Additionally, it also successfully explains leptogenesis and sheds some light on the current results of muon (g − 2).
The model includes SM particle spectrum with extra SU(2) L triplet fermion Σ 𝑅 and a scalar singlet 𝜌, which breaks the U(1) B−L symmetry. Fermion triplet participates in the seesaw mechanism to give tiny mass to neutrinos. Hence, we are able to explain neutrino phenomenology, to name a few, sum of neutrino masses, reactor mixing angle etc. satisfying their present experimental 3𝜎 bound respectively. Also, we discuss leptogenesis and effective electron neutrino mass parameter ⟨𝑚 𝑒𝑒 ⟩ in neutrinoless double beta decay satisfying KamLAND-Zen bound.
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