STUDY OF THE ELECTRON ELECTRIC DIPOLE MOMENT IN A FROGGATT NIELSEN TWO-HIGGS DOUBLET MODEL

Abstract: We consider a two Higgs doublet model with a U(1) Froggatt Nielsen mechanism. The Froggatt Nielsen charges of the fermions are chosen such that the correct mass structure and quark mixing matrix is obtained, and such that Flavor Changing Neutral Currents are within experimental limits. We do not assume any discrete symmetry of the lagrangian, and let Charge Parity be violated, both in the Higgs sector, and the Yukawa sector. In this framework we study the contributions to the electric dipole moment of the electron, originating from Barr-Zee diagrams with a top or bottom quark loop, and neutral Higgs exchange. We use numerical calculations to examine how the dipole moment depends on the mixing angles of the scalars, the complex phases of the Yukawa couplings, and on the masses of the neutral scalars. We present the results of these calculations for some interesting parameter values. We find that by allowing both Charge Parity violating Higgs mixing, and complex Yukawa couplings, we can get these contributions to cancel out. We also find that, for some reason, the contribution from the top quark is suppressed.