# Breakings of the neutrino mu-tau reflection symmetry

## TL;DR

This paper systematically studies how breaking the neutrino mu-tau reflection symmetry affects neutrino mixing parameters, considering theoretical and experimental motivations, including effects from renormalization group evolution.

## Contribution

It provides a comprehensive analysis of possible symmetry-breaking patterns and their implications for neutrino mixing, including specific cases like renormalization group effects.

## Key findings

- Identifies various symmetry-breaking patterns and their impact on mixing angles and CP phases.
- Analyzes the effects of renormalization group evolution on symmetry breaking.
- Offers insights into how symmetry breaking can reconcile theoretical predictions with experimental data.

## Abstract

The neutrino $\mu$-$\tau$ reflection symmetry has been attracting a lot of attention as it predicts the interesting results $\theta^{}_{23} = \pi/4$ and $\delta = \pm \pi/2$. But it is reasonable to consider breakings of such a symmetry either from the theoretical considerations or on the basis of experimental results. We thus perform a systematic study for the possible symmetry-breaking patterns and their implications for the mixing parameters. The general treatment is applied to some specific symmetry breaking arising from the renormalization group effects for illustration.