Generating nonzero $\theta_{13}$ without breaking the $2$-$3$ symmetry of neutrino mass matrix

TL;DR

This paper explores how to generate a non-zero reactor angle in neutrino physics without breaking the 2-3 symmetry of the neutrino mass matrix, challenging previous assumptions that symmetry breaking was necessary.

Contribution

It demonstrates that a non-zero  can arise without breaking 2-3 symmetry, providing new insights into neutrino mass models.

Findings

Non-zero  can be achieved without breaking 2-3 symmetry

Special case of =0 linked to 2-3 symmetry

Breakdown of 2-3 symmetry not essential for  7

Abstract

The prediction of vanishing reactor angle was thought to be a signature of $2$-$3$ symmetry of neutrino mass matrix. But the present study addresses certain interesting facts related with $2$-$3$ symmetry which are not addressed so far. The investigation highlights that $\theta_{13}=0$, corresponds to a very special case in association with $2$-$3$ symmetry and to engender a non-zero $\theta_{13}$, the breakdown of $2$-$3$ symmetry is not essential.