Tri-Permuting Mixing Matrix and predictions for theta_13

TL;DR

This paper introduces the Tri-Permuting mixing matrix for neutrinos, predicting a large reactor angle and providing a new model that combines neutrino and charged lepton mixing to improve understanding of lepton mixing patterns.

Contribution

It proposes a novel neutrino mixing texture called Tri-Permuting (TP) mixing and develops a specific model to realize this pattern with charged lepton corrections.

Findings

Predicts sin(theta_13)=1/3 for neutrino mixing

Provides a new framework differing from TBM and BM patterns

Offers a specific model generating TP mixing and charged lepton corrections

Abstract

We introduce a new texture for neutrino mixing named Tri-Permuting (TP) mixing matrix. This pattern is characterized by maximal solar and atmospheric angles and by a large reactor angle satisfying sin(theta_13)=1/3. The correct lepton mixing matrix is obtained when combining the charged lepton mixing matrix with the neutrino one. In this way we get new predictions for theta_13 with respect to those obtained by the well studied TBM or BM mixing patterns. We present a specific model that gives rise to TP mixing in the neutrino sector as well as the required corrections from the charged lepton one.