Controlled flavor violation in the MSSM from a unified $\Delta(27)$ flavor symmetry

Understand

We study the phenomenology of a unified supersymmetric theory with a flavor symmetry $\Delta(27)$.

• The model accommodates quark and lepton masses, mixing angles and CP phases.
• In this model, the Dirac and Majorana mass matrices have a unified texture zero structure in the $(1,1)$ entry that leads to the Gatto-Sartori-Tonin relation between the Cabibbo angle and ratios of the masses in the quark sectors, and to a natural departure from zero of the $\theta_{13}^\ell$ angle in the lepton sector.
• We derive the flavor structures of the trilinears and soft mass matrices, and show their general non-universality.