XXVI DAE-BRNS High Energy Physics Symposium 2024

Neutrino Phenomenology in Scoto-Seesaw mechanism with Modular A4 Symmetry

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Oral Beyond the standard model

Speaker

Ranjeet Kumar (IISER Bhopal)

Description

In this work, we study a hybrid scoto-seesaw mechanism based on modular $A_4$ symmetry, which has many interesting phenomenological implications. In this scoto-seesaw framework, the type-I seesaw mechanism generates the atmospheric mass square difference ($\mathrm{\Delta }{m}_{\mathrm{a}\mathrm{t}\mathrm{m}}^2$) at the tree level. Additionally, the scotogenic contribution plays a crucial role in obtaining the other mass square difference ($\mathrm{\Delta }{m}_{\mathrm{s}\mathrm{o}\mathrm{l}}^2$) at loop level, providing a clear understanding of the two distinct mass square differences observed in neutrino oscillations. The non-trivial transformations of Yukawa couplings under the $A_4$ modular symmetry facilitate the exploration of neutrino phenomenology, offering a specific flavor structure for the mass matrix. This model not only makes predictions regarding neutrino mass ordering, mixing angles, and CP phases, but it also yields precise predictions for $\mathrm{\Sigma }{m}_i$ as well as $|m_{ee}|$. Specifically, the model predicts $\mathrm{\Sigma }{m}_i$ within the range of (0.073, 0.097) eV and $|m_{ee}|$ in (3.15, 6.66)$\times {10}^{-3}$ eV. Furthermore, our model shows promise in addressing lepton flavor violations, such as $l_{\alpha }\to l_{\beta }\gamma$, $l_{\alpha }\to 3l_{\beta }$, all while remaining consistent with current experimental limits.