Consequences of μ-τ reflection symmetry for 3+1 neutrino mixing

We investigate the consequences of ??? reflection symmetry in presence of a light sterile neutrino for the 3+1 neutrino mixing scheme. We discuss the implications of total ??? reflection symmetry as well partial ??? reflection symmetry. For the total ??? reflection symmetry we find values of ?23 and ? remains confined near ?/4 and �?/2 respectively. The current allowed region for ?23 and ? in case of inverted hierarchy lies outside the area preferred by the total ??? reflection symmetry. However, interesting predictions on the neutrino mixing angles and Dirac CP violating phases are obtained considering partial ??? reflection symmetry. We obtain predictive correlations between the neutrino mixing angle ?23 and Dirac CP phase ? and study the testability of these correlations at the future long baseline experiment DUNE. We find that while the imposition of ??? reflection symmetry in the first column admit both normal and inverted neutrino mass hierarchy, demanding ??? reflection symmetry for the second column excludes the inverted hierarchy. Interestingly, the sterile mixing angle ?34 gets tightly constrained considering the ??? reflection symmetry in the fourth column. We also study consequences of ??? reflection symmetry for the Majorana phases and neutrinoless double beta decay.