Modular TM$_1$ mixing in light of precision measurement in JUNO

TL;DR

This paper explores modular $S_4$ symmetry models predicting TM$_1$ leptonic mixing, analyzing their parameter spaces with JUNO's latest high-precision measurements and comparing different model approaches for their distinct predictions.

Contribution

It presents three distinct models based on modular $S_4$ symmetry that realize TM$_1$ mixing, highlighting differences in CP phase and neutrinoless double beta decay predictions.

Findings

Models are consistent with JUNO's $ heta_{12}$ and $ riangle m^2_{21}$ measurements.

Predictions for CP violation differ among models, enabling experimental distinction.

Models provide viable frameworks for leptonic flavor mixing with testable predictions.

Abstract

This paper investigates the landscape of models based on modular $S_4$ symmetry that predicts the trimaximal TM$_1$ mixing pattern for leptonic flavor mixing, and explores their parameter spaces with constraints from the latest high-precision measurement on $\theta_{12}$ and $\Delta m^2_{21}$ given by JUNO experiment. We review on how the mixing pattern arises from residual symmetries after the spontaneous breaking of a flavor symmetry, via an appropriate vacuum alignment of modular fields and flavon fields. We show three different models that realize the TM$_1$ in three approaches with the same symmetry structure. Due to different model building strategies used, predictions on the CP-violating phase and the effective mass in neutrinoless double beta decay are different, making them distinguishable.