Modifications to the neutrino mixing from the mu-tau reflection symmetry

Abstract

The $\mu$-$\tau$ reflection symmetry serves as a unique basis for understanding the observed neutrino mixing as it can lead us to the interesting results ${\theta }_{23}^{}=\pi /4$ and $\delta =-\pi /2$ which stand close to the current experimental results. But a precise measurement for ${\theta }_{23}^{}$ and $\delta$ will probably force us to modify the neutrino mixing $U^{(0)}$ from such a symmetry. Here we perform a study for modifications to $U^{(0)}$ in the forms of $U^{(1)†}{U}^{(0)}$ and $U^{(0)}{U}^{(1)}$ where $U^{(1)}=R_{ij}^{(1)}$ (for $ij=12,23$ and 13) with $R_{ij}^{(1)}$ denoting a real orthogonal rotation on the $ij$ plane.

Comments: 16 pages, 6 figures, minor revision, references added, to appear in Nuclear Physics B