A Flavour-Symmetric Perspective on Neutrino Mixing

TL;DR

This paper reviews recent work on neutrino mixing emphasizing flavour symmetry, proposing a specific estimate for the smallest neutrino mixing angle based on flavour-symmetric observables and consolidating previous publications.

Contribution

It introduces a flavour-symmetric framework for understanding neutrino mixing and provides a new estimate for the smallest mixing angle based on symmetry considerations.

Findings

Proposes a specific value for the smallest neutrino mixing angle: ~0.13.

Highlights the role of flavour-symmetric observables in neutrino physics.

Consolidates recent research on flavour symmetry and neutrino mixing.

Abstract

A review and consolidation of some of our more recent publications, many with our various collaborators. While we cannot resist mentioning Tribimaximal mixing, our main theme is Flavour Symmetry, in particular Flavour-Symmetric Observables, scalar (or pseudo-scalar) under $S3_l \times S3_{\nu}$. Our "best guess" for the smallest neutrino mixing angle remains: $\sin \theta_{13}=\sqrt{2 \Delta m^2_{sol}/(3 \Delta m^2_{atm})} \simeq 0.13$.