Phenomenological implications of two simple modifications to Tri-Bimaximal mixing

TL;DR

This paper explores two simple modifications to the Tri-Bimaximal mixing pattern, analyzing their phenomenological implications and compatibility with experimental data, especially focusing on atmospheric mixing and CP violation predictions.

Contribution

It introduces two specific textures that preserve parts of TBM mixing and evaluates their phenomenological viability against current experimental constraints.

Findings

Predictions for atmospheric mixing angle θ23 consistent with data

Predictions for Dirac CP phase δ that can be tested in future experiments

Both textures remain compatible with existing experimental data

Abstract

We study the phenomenological implications of breaking the Tri-Bimaximal (TBM) mixing in such a way that either first or second column of TBM mixing matrix remains invariant. We present two such textures and confront them with the experimental data. We give the predictions of these textures for atmospheric mixing angle $\theta_{23}$ and Dirac-type CP violating phase $\delta$ that will be measured in the future experiments.