Quark and lepton mixing angles with a dodeca-symmetry

Understand

The discrete symmetry D_12 at the electroweak scale is used to fix the quark and lepton mixing angles.

• At the leading order, the Cabbibo angle theta_C is 15^o, and the PMNS matrix is of a bi-dodeca-mixing form giving the Solar-neutrino angle theta_sol=30^o.
• Thus, there results the relation theta_sol+theta_C ~ 45^o.
• Out of discrete vacua, a certain vacuum is chosen for this assignment to be consistent with the dodeca-symmetry.