Difficulties for a simple picture of spontaneous CP violation

We show that vertical stroke epsilon'/epsilon vertical stroke is unacceptably large in SU(2)sub(L) x U(1) models with spontaneous CP violation and natural flavor conservation in neutral Higgs-particle interactions if it is assumed that charmed quark intermediate states contribute significantly and that Msub(W)2 >> Msub(H)2 >> Msub(C)2. From the quark operator structure of box and penguin graphs involving Higgs-particle exchange, we demonstrate that pseudoscalar current matrix elements cannot be enhanced over axial-current matrix elements as has been previously assumed in similar calculations. Alternate ways to evaluate the matrix elements are employed. (orig.)