The Electric Dipole Moment of the Muon in a Two Higgs Doublet Model

The electric dipole moment of the muon (dμ) is evaluated in a two Higgs doublet model with a softly broken discrete symmetry. The leading contributions from both one loop and two loop diagrams are considered. For tan β ≡ |v2|/|v1| close to one, contributions from two loop diagrams involving the t quark and the W boson dominate; while for tan β ∼ 10, contributions from two loop diagrams involving the b quark and the τ lepton are dominant. In these two regions, dμ ≈ (mμ/me)de. For 8 ∼ tan β ∼ 4, significant cancellation occurs among the contributions from two loop diagrams and the one loop contribution dominates for tan β ∼ 7. For tanβ ∼ 15, the calculated dμ can be close to the reach of a recently proposed experiment at the Brookhaven National Laboratory. Typeset using REVTEX