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.

• Received 4 June 2018

DOI:https://doi.org/10.1103/PhysRevD.98.075015

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Published by the American Physical Society