Modifications to the neutrino mixing from the μ-τ reflection symmetry

The μ-τ reflection symmetry serves as a unique basis for understanding the observed neutrino mixing as it can lead us to the interesting results θ23=π/4 and δ=−π/2 which stand close to the current experimental results. But a precise measurement for θ23 and δ will probably force us to modify the neutrino mixing U(0) from such a symmetry. Here we perform a study for modifications to U(0) in the forms of U(1)†U(0) and U(0)U(1) where U(1)=Rij(1) (for ij=12,23 and 13) with Rij(1) denoting a real orthogonal rotation on the ij plane.