Consequences of $ \mu-\tau $ Reflection Symmetry at DUNE

TL;DR

This paper investigates how the DUNE experiment can measure and test the implications of $- au$ reflection symmetry in neutrino physics, including symmetry breaking effects and CP violation.

Contribution

It analyzes the potential of DUNE to precisely measure neutrino mixing parameters under $- au$ reflection symmetry and explores symmetry breaking scenarios.

Findings

DUNE can accurately measure $ heta_{23}$ and $$ within certain symmetry assumptions.

The study identifies DUNE's capability to distinguish CP violation scenarios.

Different symmetry breaking patterns affect the precision of parameter determination.

Abstract

We consider minimal type-I seesaw framework to realize $ \mu-\tau $ reflection symmetry in the low-energy neutrino mass matrix, $ M_{\nu} $. Considering DUNE experiment, we scrutinize its potential to measure the precision of 2-3 mixing angle, $ \theta_{23} $ and the Dirac CP-phase, $ \delta $ for the given symmetry. Later, we examine the precision of these two parameters considering NuFit-3.2 data as one of the important true points. To study the low-energy phenomenology, we further discuss various breaking patterns of such an exact symmetry. Moreover, for each breaking scenario we perform the capability test of DUNE for the determination of $ \theta_{23} $ and to establish the phenomenon of CP violation considering the true benchmark point arising from the breaking of $ \mu-\tau $ reflection symmetry. We also make remarks on the potential of DUNE to rule out maximal CP-violation or CP-conservation hypothesis at a certain confidence level for different scenarios.