Neutrino Phenomenology in \(A_4\) Modular Symmetry with Scoto Seesaw Mechanism
摘要
The innovative aspect of this study is the introduction of a hybrid scoto-seesaw model based on \(A_4\) discrete modular symmetry, which has many intriguing phenomenological implications. Using the type-I seesaw mechanism at the tree level, the scoto-seesaw framework generates one mass square difference ( \(\Delta m^2_{atm}\) ). Furthermore, a clear explanation of the two distinct mass square differences is provided by the scotogenic contribution, which is essential in deriving the other mass square difference ( \(\Delta m^2_{sol}\) ) at the loop level. Under the \(A_4\) modular symmetry, Yukawa couplings undergo a non-trivial transformation that facilitates the investigation of neutrino phenomenology with a specific flavor structure of the mass matrix. Along with predicting neutrino mass ordering, mixing angles, and CP phases, this framework also provides precise predictions for \(\Sigma m_i\) and \(|m_{ee}|\) . Specifically, the model predicts \(\Sigma m_i \in (0.073,0.097)\) eV and \(|m_{ee}| \in (3.15,6.66) \times 10^{-3}\) eV, which are within the reach of forthcoming experiments. Moreover, our model appears promising in addressing lepton flavor violations, including \(l_\alpha \rightarrow l_\beta \gamma \) , \(l_\alpha \rightarrow 3l_\beta \) branching ratios and \(\mu - e\) conversion rates, while remaining consistent with current experimental limits.