Spontaneous CP Violation in the Next-to-Minimal Supersymmetric Standard Model

Abstract

We re-examine spontaneous $\text{cp}$ violation (SCPV) at the tree level in the context of the next-to-minimal supersymmetric standard model (NMSSM) with two Higgs doublets and a gauge singlet field. We analyse the most general Higgs potential without a discrete $Z_3$ symmetry, and derive an upper bound on the mass of the lightest neutral Higgs boson. We estimate ${\text{epsi}}_K$ by applying the mass insertion approximation, finding that in order to account for the for the observed $\text{cp}$ violation in the neutral kaon sector a non-trivial flavour structure in the soft-breaking $A$ terms is required and that the upper bound on the lightest Higgs-boson mass becomes stronger. We also discuss the implications of electric dipole moments of the electron and the neutron in SUSY models with SCPV.

Comments: 5 pages, 2 figures, uses JHEP LaTeX. Talk presented by A. Teixeira at the International Europhysics Conference on High Energy Physics (HEP2001), Budapest, Hungary, 12-18 July 2001. To appear in the proceedings