Neutrino mixing matrices with relatively large $\theta_{13}$ and with texture one-zero

TL;DR

This paper investigates neutrino mixing matrices with large θ13 and analyzes Majorana mass matrices with texture one-zero to determine their compatibility with different mass hierarchies and experimental data.

Contribution

It introduces modifications to standard mixing matrices to accommodate large θ13 and evaluates the viability of texture one-zero Majorana mass matrices.

Findings

Certain texture one-zero matrices are compatible with normal hierarchy.

Some matrices fit inverted hierarchy but are phenomenologically viable.

The analysis constrains the structure of neutrino mass matrices based on recent data.

Abstract

The recent T2K, MINOS and Double Chooz oscillation data hint a relatively large $\theta_{13}$, which can be accommodated by some general modification of the Tribimaximal/Bimaximal/Democratic mixing matrices. Using such matrices we analyze several Majorana mass matrices with texture one-zero and show whether they satisfy normal or inverted mass hierarchy and phenomenologically viable or not.