Programme

P.96 -- Posters, VCTP-50

Date: Thursday, 7 August 2025

Time: 08:30 - 10:00

Constrain the free parameters of Lepton Flavor Symmetry Models with Neutrino Oscillation data

Phan To Quyen (1,2), Son Cao (2), N. T. Hong Van (3)

(1) Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi, Vietnam. (2) Institute for Interdisciplinary Research in Science and Education, ICISE, Quy Nhon, Vietnam. (3) Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, Vietnam.

Lepton flavor models stemming from discrete non-Abelian flavor symmetries, characterized by free model parameters, successfully provide specific predictions for some of the leptonic mixing angles and the Dirac CP-violating phase. They also predict the existence of algebraic relations among certain mixing parameters, commonly referred to as sum rules. In our previous work (https://doi.org/10.1103/PhysRevD.111.073003), we investigated the possibility of testing these lepton flavor models via the solar and atmospheric sum rules, which describe the predictability of the less-known $\delta_{CP}$ based on its relationship with other more precisely constrained mixing angles ($\theta_{12}, \theta_{13}, \theta_{23}$), using their current constraint from the global neutrino data. In this study, we develop a new framework that enables us to test these models by directly constraining their free parameters using experimental data from neutrino oscillation experiments. The preliminary results show that the allowed ranges and the precision of the leptonic mixing angles are crucial for confirming or excluding specific flavor models. Data from two forthcoming, large-scale, accelerator-based long-baseline neutrino experiments, Hyper-Kamiokande (T2HK), and the Deep Underground Neutrino Experiment (DUNE) as well as possible joint analyses from future neutrino facilities, will allow us to exclude certain models in specific regions of both the standard oscillation parameter space and the model parameter space.

Presenter: Phan To Quyen