A common origin of fermion mixing and geometrical CP violation, and its test through Higgs physics at the LHC

TL;DR

This paper introduces a flavor model using the Delta(27) symmetry that explains fermion mixing and CP violation with a geometric phase, and predicts testable Higgs sector signatures at the LHC.

Contribution

It presents the first flavor model based on Delta(27) that achieves spontaneous CP violation with a geometric phase, fitting all quark data.

Findings

Reproduces all quark masses and mixing data

Predicts exotic Higgs sector properties testable at the LHC

Establishes a link between fermion mixing and geometrical CP violation

Abstract

We construct for the first time a flavor model, based on the smallest discrete symmetry Delta(27) that implements spontaneous CP violation with a complex phase of geometric origin, which can actually reproduce all quark masses and mixing data. We show that its scalar sector has exotic properties that can be tested at the LHC.