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

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.

28 pages, 6 figures, 11 tables, minor changes in the text, Version accepted for publication in Phys. Rev. D

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