Predictions of Neutrino Mixing Angles in a T'Model

TL;DR

This paper explores how a specific flavor symmetry model predicts neutrino mixing angles, linking them to quark mixing and providing bounds based on phenomenological inputs.

Contribution

It introduces a $T^{'} imes Z_2$ flavor symmetry model that predicts neutrino mixing angles and relates them to quark mixing parameters, offering new theoretical bounds.

Findings

Predicts $ heta_{13}$ and $ heta_{23}$ angles based on flavor symmetry.

Establishes bounds on neutrino mixing angles using phenomenological inputs.

Connects neutrino mixing with quark mixing via the $T^{'}$ mechanism.

Abstract

Flavor symmetry ($T^{'} \times Z_2$) where $T^{'}$ is the binary tetrahedral group predicts for neutrino mixing angles $\theta_{13} = \sqrt{2} (\frac{\pi}{4} - \theta_{23})$ and, with one phenomenological input, provides upper and lower bounds on both $\theta_{13}$ and $\theta_{23}$. The predictions arise from the deviation of the Cabibbo angle $\Theta_{12}$ from its lowest-order value $\tan 2\Theta_{12} = (\sqrt{2})/3$ and from the $T^{'}$ mechanism which relates mixing of $(\nu_{\tau}, \nu_{\mu}, \nu_e)$ neutrinos to mixing of $(s, d)$ quarks.