The Muon Electric Dipole Moment

The electric dipole moment of the muon (dμ) is evaluated in a two Higgs doublet model with a softly broken discrete symmetry. For tan β ≡ |v2|/|v1| ∼ 1, 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. 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 tan β ∼ > 15, the calculated dμ can be close to the reach of a recently proposed experiment at the Brookhaven National Laboratory.