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

Understand

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.