Unified neutrino mixing and approximate $\mu$-$\tau$ reflection symmetry

TL;DR

This paper explores a unified neutrino mixing model that encompasses various known schemes and finds that certain symmetry-based predictions with inverted mass ordering are incompatible with current observational data.

Contribution

It introduces a unified framework linking multiple neutrino mixing schemes and tests their compatibility with recent cosmological and astrophysical observations.

Findings

Inverted mass ordering predictions are excluded by DESI2024 and Supernova Ia data.

Approximate $$-$ au$ reflection symmetry with inverted ordering is incompatible with observations.

Unified mixing schemes like TBM, BM, GRM, and HM are challenged by current data.

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.