Modulated bimaximal neutrino mixing

TL;DR

This paper explores frameworks based on bi-maximal neutrino mixing, examining corrections and charged lepton effects to better understand neutrino mixing angles and their relations, highlighting the relevance of BM mixing as a foundational approximation.

Contribution

It introduces a model-independent approach to modify bi-maximal mixing with GUT-inspired corrections, revealing new relations and links between neutrino, charged lepton, and quark sectors.

Findings

Modified QLC relation connecting mixing angles and CP phase.

Possible link between neutrino and charged lepton mixing angles.

Reaffirmation of bi-maximal mixing as a useful initial approximation.

Abstract

The present article is an endeavor to look into some fruitful frameworks based on "Bi-maximal" neutrino mixing, from a model independent stand. The possibilities involving the correction or attenuation of the original BM mixing matrix, followed by GUT-inspired charged lepton correction are invoked. The "symmetry-basis" thus constructed, accentuates some interesting facets such as: a modified QLC relation, $\theta_{12}+\theta_{c}\approx\frac{\pi}{4}-\theta_{13}\cos(n\pi-\delta_{CP})$, a possible link up between neutrino and charged lepton sectors, $\theta_{13}^{\nu}=\theta_{12}^{l}\sim\mathcal{O}(\theta_{C})$ or that between neutrinos and quarks, $\theta_{13}^{\nu}=\theta_{C}$. The study vindicates the relevance of the Bi-maximal mixing as a first approximation.