Higgs sector with spontaneous CP violation in $S(3)$ Standard Model

TL;DR

This paper investigates spontaneous CP violation within an $S(3)$-symmetric three-Higgs-doublet model, analyzing the Higgs mass spectrum, self-couplings, and CP violation arising from complex vacuum expectation values.

Contribution

It provides a detailed analysis of spontaneous CP violation conditions and the Higgs sector structure in an $S(3)$-invariant extension of the Standard Model.

Findings

Nine physical Higgs bosons identified

Spontaneous CP violation linked to complex vevs of Higgs fields

Scenario with three Goldstone bosons and three physical Higgs particles

Abstract

Conditions for spontaneous Charge-Parity (CP) violation in the scalar potential sector of general $S(3)$ Higgs-doublet model (3HDM) are analyzed. An analysis of the Higgs sector of the minimal $S(3)$-invariant extension of the Standard Model including CP violation arising from the spontaneous breaking of the electroweak symmetry is presented. This extended Higgs sector with three SU(2) doublets Higgs fields with complex vev's provides an interesting scenario to analyze the Higgs masses spectrum, trilinear self-couplings and CP violation. We present how the spontaneous electroweak symmetry breaking, coming from three $S(3)$ Higgs fields, gives an interesting scenario with nine physical Higgs and three Goldstone bosons, when spontaneous CP violation arises from the Higgs field $S(3)$ singlet $H_S$.