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

A Radiative Model of Quark Masses with Binary Tetrahedral Symmetry