Fermion mixing with geometrical CP violation and its tests at the LHC

TL;DR

This paper reviews geometrical CP violation, introduces a Delta(27) flavor model with spontaneous CP violation that fits quark data, and discusses testable exotic scalar sector predictions at the LHC.

Contribution

It presents a novel flavor model based on Delta(27) with spontaneous CP violation, aligning with quark data and predicting testable scalar sector properties at the LHC.

Findings

The model reproduces all quark masses and mixing data.

The scalar sector exhibits exotic properties detectable at the LHC.

Clarifies cases of geometrical CP violation.

Abstract

We review and clarify some cases of geometrical CP violation, the framework of spontaneous CP violation through complex phases with values that are independent of parameters of the potential. We present a flavour model based on Delta(27) featuring spontaneous CP violation, that can reproduce all quark masses and mixing data. The scalar sector of the model has exotic properties that can be tested at the LHC.