Relations Between Standard Model Parameters from $T^{'}$ Flavor Symmetry

TL;DR

This paper explores how a specific flavor symmetry involving the binary tetrahedral group $T^{'}$ links various parameters in the Standard Model, including neutrino mixing angles, CP violation, and quark mixing angles.

Contribution

It introduces a model where $T^{'}$ flavor symmetry relates neutrino and quark parameters, providing new formulas connecting these fundamental quantities.

Findings

Relation between $ heta_{23}$ and $ heta_C$

Formula linking neutrino mass ratio to $ heta_C$

Potential insights into flavor structure of the Standard Model

Abstract

Spontaneously broken flavor symmetry involving the binary tetrahedral group $T^{'}$ relates parameters in the standard model. In one example the CP violating Pontecorvo-Maki-Nakagawa-Sakata phase $\delta_{PMNS}$ and atmospheric mixing angle $\theta_{23}$ of neutrinos are related to the Cabibbo mixing angle $\Theta_C$ for quarks. A second formula relates a ratio of neutrino mass eigenvalues to the Cabibbo angle.