CP Violation in the Next to Minimal Supersymmetric Standard Model

TL;DR

This paper investigates spontaneous CP violation in the NMSSM without $Z_3$ symmetry, highlighting challenges with electric dipole moment constraints and the implications for Higgs boson masses.

Contribution

It explores CP violation at tree level in the NMSSM without $Z_3$ symmetry and analyzes the resulting phenomenological constraints.

Findings

CP violation can occur at tree level in the NMSSM without $Z_3$ symmetry.

Small CP-violating angles lead to an unacceptably light neutral Higgs.

Constraints from electric dipole moments impact the viability of CP violation scenarios.

Abstract

We consider spontaneous CP violation in the Next to Minimal Supersymmetric Standard Model (NMSSM), without the usual $Z_3$ discrete symmetry. CP violation can occur at tree level, raising a potential conflict with the experimental bounds on the electric dipole moments of the electron and neutron. One escape from this is to demand that the CP violating angles are small, but we find that this entails an unacceptably light neutral Higgs.