Generalized $\mu-\tau$ reflection symmetry and leptonic CP violation

TL;DR

This paper introduces a generalized $$ reflection symmetry in neutrino physics, establishing new correlations between mixing angles and CP phases, with implications for experiments and neutrinoless double beta decay.

Contribution

It proposes a novel generalized $$ reflection symmetry that extends standard CP symmetry, linking lepton mixing parameters and CP phases.

Findings

New correlation between $ heta_{23}$ and $\, ext{CP}$ phase $\, ext{delta}_{ ext{CP}}$

Majorana phases predicted at CP-conserving values

Implications for neutrinoless double beta decay and neutrino experiments

Abstract

We propose a generalized $\mu-\tau$ reflection symmetry to constrain the lepton flavor mixing parameters. We obtain a new correlation between the atmospheric mixing angle $\theta_{23}$ and the "Dirac" CP violation phase $\delta_{\rm CP}$. Only in a specific limit our proposed CP transformation reduces to standard $\mu-\tau$ reflection, for which $\theta_{23}$ and $\delta_{CP}$ are both maximal. The "Majorana" phases are predicted to lie at their CP-conserving values with important implications for the neutrinoless double beta decay rates. We also study the phenomenological implications of our scheme for present and future neutrino oscillation experiments including T2K, NO$\nu$A and DUNE.