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We study a neutrino mass model with A 4 discrete flavor symmetry using a type-I seesaw mechanism. The inclusion of extra flavons in our model leads to deviations from the exact tribimaximal mixing pattern resulting in a nonzero θ 1 3 consistent with the recent experimental results and a sum rule for light neutrino masses is also obtained. In this framework, a connection is established among the neutrino mixing angles-reactor mixing angle ( θ 1 3 ), solar mixing angle ( θ 1 2 ), and atmospheric mixing angle ( θ 2 3 ). This model also allows us a prediction of Dirac CP-phase and Jarlskog parameter (J). The octant of the atmospheric mixing angle θ 2 3 occupies the lower octant. Our model prefers Normal Hierarchy (NH) than Inverted Hierarchy (IH). We use the parameter space of our model of neutrino masses to study the neutrinoless double beta decay parameter m β β . [ABSTRACT FROM AUTHOR]

In this paper, we study the modification of the Altarelli–Feruglio A 4 flavor symmetry model by adding three singlet flavons ξ ′ , ξ ′ ′ and ρ and the model is augmented with extra Z 2 × Z 3 symmetry to prevent the unwanted terms in our study. The addition of these three flavons leads to two higher order corrections in the form of two perturbation parameters ϵ and ϵ ′ . These corrections yield the deviation from exact tri-bimaximal (TBM) neutrino mixing pattern by producing a nonzero θ 1 3 and other neutrino oscillation parameters which are consistent with the latest experimental data. In both the corrections, the neutrino masses are generated via Weinberg operator. The analysis of the perturbation parameters ϵ and ϵ ′ , shows that normal hierarchy (NH) and inverted hierarchy (IH) for ϵ do not change much. However, as the values of ϵ ′ increase, θ 2 3 occupies the lower octant for NH case. We further investigate the neutrinoless double beta decay parameter m β β using the parameter space of the model for both normal and inverted hierarchies of neutrino masses. [ABSTRACT FROM AUTHOR]

Our analysis involves enhancing the Δ (54) flavor symmetry model with Inverse Seesaw mechanism along with two SM Higgs through the incorporation of distinct flavons. Additionally, we introduce supplementary Z 2 ⊗ Z 3 ⊗ Z 4 symmetries to eliminate any undesirable components within our investigation. The exact tri-bimaximal neutrino mixing pattern undergoes a deviation as a result of the incorporation of extra flavons, leading to the emergence of a non-zero reactor angle θ 13 that aligns with the latest experimental findings. It was found that for our model the atmospheric oscillation parameter occupies the lower octant for normal hierarchy case. We also examine the parameter space of the model for normal hierarchy to explore the Dirac CP (δ C P), Jarlskog invariant parameter (J) and the Neutrinoless double-beta decay parameter (m β β) and found it in agreement with the neutrino latest data. Hence our model may be testable in the future neutrino experiments. [ABSTRACT FROM AUTHOR]