Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry

Abstract

In this paper, we construct a model with the help of modular symmetry in the framework of minimal inverse seesaw [ISS(2,3)]. We have used $\Gamma (3)$ modular group which is isomorphic to non-Abelian discrete symmetry group $A_4$. In this group there are three Yukawa modular forms of weight 2. Through this model, we study neutrino masses and mixing for both normal and inverted hierarchy. Use of modular symmetry reduces the need for extra flavons and their specific VEV alignments, as such, minimality of the model is maintained to a great extent. Along with $A_4$ symmetry group, we have used $Z_3$ to restrict certain interaction terms in the Lagrangian. Further we calculate the effective mass to address the phenomena of neutrinoless double-beta decay ($0\nu \beta \beta$). The values of effective mass is found to lie within the bound ($m_{eff}<0.165$ eV) as predicted by different $0\nu \beta \beta$ experiments.

24 pages, 18 figures

References in corpus (10)

• Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities
• Dark Matter Candidates: A Ten-Point Test
• Low Energy Signatures of the TeV Scale See-Saw Mechanism
• Neutrino Mass Hierarchy
• Dark Matter in the minimal Inverse Seesaw mechanism
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Inverse Seesaw Model with a Modular $S_4^{}$ Symmetry: Lepton Flavor Mixing and Warm Dark Matter
• On Stringy Origin of Minimal Flavor Violation
• Resonant leptogenesis in (2,2) inverse see-saw realisation

Cited by in corpus (1)

• Neutrino phenomenology, W mass anomaly & muon $(g-2)$ in minimal type-III seesaw using $T^{\prime }$ modular symmetry