Simplified Renormalizable $T^{'}$ Model for Tribimaximal Mixing and Cabibbo Angle

TL;DR

This paper presents a simplified renormalizable model based on the $T^{'}$ flavor symmetry that predicts specific neutrino and quark mixing angles, aligning with observed tribimaximal and Cabibbo mixing patterns.

Contribution

It introduces a new simplified $T^{'}$ model that simultaneously predicts neutrino and quark mixing angles within a renormalizable framework.

Findings

Predicts neutrino mixing angles: tan^2 θ_12 = 1/2, θ_13=0, θ_23=π/4

Predicts quark mixing angles: tan 2 Θ_12 = √2/3, Θ_13=0, Θ_23=0

Provides a unified flavor symmetry approach for leptons and quarks.

Abstract

In a simplified renormalizable model where the neutrinos have PMNS (Pontecorvo-Maki-Nakagawa-Sakata) mixings tan$^{2} \theta_{12} = {1/2}, \theta_{13}=0, \theta_{23} = \pi/4$ and with flavor symmetry $T^{'}$ there is a corresponding prediction where the quarks have CKM (Cabibbo-Kobayashi-Maskawa) mixings tan$2 \Theta_{12} = \frac{\sqrt{2}}{3}, \Theta_{13}=0, \Theta_{23} =0$.