A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry

TL;DR

This paper introduces a radiative quark and lepton mass model based on binary tetrahedral symmetry, explaining mass hierarchies, CKM mixing, and neutrino oscillation patterns, while also addressing dark matter stability and collider signatures.

Contribution

It proposes a novel radiative mass generation mechanism using $T^{\

Findings

Reproduces the first two quark generations' masses via vector-like quark interactions.

Achieves a CKM mixing angle close to the Cabibbo angle through residual symmetry breaking.

Identifies dark sector symmetries that stabilize multi-component dark matter and discusses collider signatures.

Abstract

A radiative model of quark and lepton masses utilizing the binary tetrahedral ($T^{\prime}$) flavor symmetry, or horizontal symmetry, is proposed which produces the first two generation of quark masses through their interactions with vector-like quarks that carry charges under an additional $U(1)$. By softly-breaking the $T^{\prime}$ to a residual $Z_4$ through the vector-like quark masses, a CKM mixing angle close to the Cabibbo angle is produced. In order to generate the cobimaximal neutrino oscillation pattern ($\theta_{13}\neq0,\theta_{23}=\pi/4,\delta_{CP}=\pm \pi/2$) and protect the horizontal symmetry from arbitrary corrections in the lepton sector, there are automatically two stabilizing symmetries in the dark sector. Several benchmark cases where the correct relic density is achieved in a multi-component DM scenario, as well as the potential collider signatures of the vector-like quarks are discussed.