at the Tevatron or LHC. Experimental limits on electric dipole moments suggest a region of parameter space that can occur naturally in some models where the new doublet of scalars transforms non-trivially under the flavour group. We constructed such a model.

Acknowledgements {#acknowledgements .unnumbered}
================

We thank Z. Ligeti and Jim Cline for comments on the manuscript. This work was partially supported by funds from the Natural Sciences and Engineering Research Council (NSERC) of Canada. Research at the Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation. MBW is greatful to Perimter Institute for their hospitality while this work was done. The work of M.B.W. was supported in part by the U.S. Department of Energy under contract No. DE-FG02-92ER40701.

Appendix: EWPD calculations
===========================

The one loop results for the $S_8$ model are the same as for the model discussed in [@Manohar:2006ga; @Burgess:2009wm]. We use the $\rm STUVWX$ parameterization [@Maksymyk:1993zm] of EWPD as the mass scale of the new scalars is $\sim 100 \, \rm GeV$. The relevant results in terms of Passarino-Veltman functions [@Passarino:1978jh] with standard definitions[^9] are

$$\begin{aligned}
\delta \Pi_{WW}(p^2) &=& \frac{g_1^2}{2 \pi^2}\Big[   