2014/09/30 by Zhou, Ye-Ling
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.1409.8600
The μ-τ reflection symmetry is compatible with current neutrino oscillation data and easily realized under family symmetries. We prove that this symmetry preserves θ23=45^∘, δ=±90^∘, ρ,σ=0,90^∘, and can be embedded into the seesaw mechanism. The μ-τ reflection symmetry preserved at a high energy scale ΛFS will be broken by radiative corrections and result in deviations of θ23 from 45^∘ and δ from ±90^∘ at the electroweak scale. We develop an analytical method to derive the corrections to all the mixing parameters. We perform a numerical analysis in the MSSM for δ=-90^∘ at ΛFS, and observe that θ23>45^∘ in the normal mass ordering, θ23<45^∘ in the inverted mass ordering, and the sizable correction to δ prefers a negative sign. These deviations have definite directions and can be tested in the future neutrino oscillation experiments.