ones this bound is expected to hold in the minimal two scalar doublet model if the model is to give the central value for $h_q$. If the limits on the electric dipole moments improve then this may become a more serious constraint.

There does not seem to be any acceptable symmetry reason that this product is small and at the same time $\eta_D$ is enhanced. In order to see that this is the case it is convenient to work in the basis where both $H$ and $S$ get a vevs $v_H$ and $v_S$ respectively. These can be chosen to be real. Then the charged scalar $P^+$ is the linear combination of the fields $h^+$ and $S^+$, $$P^+={v_Sh^+-v_H S^+ \over \sqrt{v_H^2+v_S^2}}$$ Because $H$ no longer plays a special role we write the couplings of the scalars to the quarks as, \[general\] [L]{}\_Y&=& \_H[|u]{} [g]{}\_[U]{}Q\_L H+ \_S[|u]{}\_[R]{} [g]{}\_[U]{} Q\_[L ]{} S\
&+& ’\_H [|d]{}\_[R]{} [g]{}\_DQ\_[L]{} H\^+ ’\_S [|d]{}\_[R]{} [g]{}\_D Q\_LS\^+[h.c.]{} Here we are using MFV and taking the quantities that break the flavor symmetry to be ${\tilde g}_{U/D}$ . These matrices are proportional to the usual Yukawa matrices, g\_U = ([ \_H v\_H+\_S v\_S]{} )[g]{}\_U, g\_D = ([ ’\_H v\_H+’ \_S v\_S]{} 