Fermion Electric Dipole Moments, Muon Polarization in the η→μμ¯, K0L→μμ¯ Decays, and the Scalar-pseudoscalar Mixing Mechanism

We construct extended Higgs-boson models of soft CP-invariance violation arising from scalar-pseudoscalar mixing. Using the electric dipole moment of neutron as input, we find that the charged-lepton electric dipole moments scale as (mass)3. They are estimated to be 2.1×10−28, 4.4×10−22, and 1.8×10−19 e cm for electron, muon, and τ, respectively. An important test of this source of CP violation lies in the longitudinal polarizations of muon in η→μμ¯ and K0L→μμ¯, which we estimate to be of the order of 10−2 and 10−1, respectively.