Spontaneous CP violation in the Supersymmetric Higgs Sector

Abstract

Spontaneous CP--violation in the minimal supersymmetric standard model with a gauge singlet and a cubic superpotential is examined. Although the tree--level Higgs potential conserves CP, it is shown that with the inclusion of the one--loop top--quark radiative effects, CP may be broken spontaneously. The CP--violating minimum requires two neutral $(h_1,h_2)$ and one charged $(H^{\pm })$ Higgs--bosons to be relatively light with $m_{h_1}+m_{h_2}\stackrel{{}_{<}}{{}_{\sim }}100GeV$ and $m_{H^{\pm }}\stackrel{{}_{<}}{{}_{\sim }}110GeV$. The electric dipole moment of the electron is in the observable range of $(\frac{1}{3}\mathrm{to}3)\times 10^{-27}$e-cm.

Comments: 14 pages (Plain LaTeX, 2 figures availbale on request), BA-93-42