Towards realistic models of quark masses with geometrical CP violation

Abstract

We present a model for quark masses and mixing, featuring geometrical CP violation through a (27) triplet. By employing a single U(1)F or ZN symmetry in addition to (27), we forbid all terms in the scalar potential that would spoil the calculable phases the triple acquires. The quark sector is realised by mimicking an existing scheme that reproduces the masses and CKM mixing, with the extra symmetry enabling the hierarchies in the Yukawa couplings through a Froggatt-Nielsen mechanism.

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