Unified neutrino mixing and approximate $μ$-$τ$ reflection symmetry

Abstract: We investigate the phenomenology of a unified neutrino mixing framework, which serves as the origin of well-known neutrino mixing schemes such as the tribimaximal mixing (TBM), bimaximal mixing (BM), golden ratio mixing (GRM) and hexagonal mixing (HM). Our analysis reveals that the predicted sum of neutrino masses derived from an approximate $\mu$-$\tau$ reflection symmetric flavor neutrino mass matrix based on the unified neutrino mixing with an inverted mass ordering, is excluded from DESI2024 and Supernova Ia luminosity distance data. This conclusion implies that TBM, BM, GRM, and HM, under an approximate $\mu$-$\tau$ reflection symmetry with an inverted mass ordering of neutrinos, are also excluded from observations.