Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY

TL;DR

This paper develops an S4 flavor symmetry model within SUSY GUT that predicts neutrino mixing patterns, the Cabibbo angle, and CP violation, aligning well with experimental data and reducing flavor-changing neutral currents.

Contribution

The paper introduces a novel S4-based flavor model in SUSY GUT that predicts neutrino mixing angles, the Cabibbo angle, and CP violation, with implications for SUSY breaking terms.

Findings

Predicts tri-bimaximal neutrino mixing and non-zero $U_{e3}$.

Accurately reproduces CKM mixing angles and CP violation.

Results indicate suppressed flavor-changing neutral currents.

Abstract

We present a flavor model of quarks and leptons with the non-Abelian discrete symmetry $S_4$ in the framework of the SU(5) SUSY GUT. Three generations of $\bar 5$-plets in SU(5) are assigned to ${\bf 3}$ of $S_4$ while the first and second generations of 10-plets in SU(5) are assigned to ${\bf 2}$ of $S_4$, and the third generation of 10-plet is assigned to ${\bf 1}$ of $S_4$. Right-handed neutrinos are also assigned to ${\bf 2}$ for the first and second generations and ${\bf 1}'$ for the third generation. We predict the Cabibbo angle as well as the tri-bimaximal mixing of neutrino flavors. We also predict the non-vanishing $U_{e3}$ of the neutrino flavor mixing due to higher dimensional mass operators. Our predicted CKM mixing angles and the CP violation are consistent with experimental values. We also study SUSY breaking terms in the slepton sector. Our model leads to smaller values of flavor changing neutral currents than the present experimental bounds.