Fermion electric dipole moments, muon polarization inη→μμ¯,KL0→μμ¯ decays, and the scalar-pseudoscalar mixing mechanism

Abstract

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×${10}^{\mathrm{-}28}$, 4.4×${10}^{\mathrm{-}22}$, and 1.8×${10}^{\mathrm{-}19}$ 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 $K_L^0$→μμ¯, which we estimate to be of the order of ${10}^{\mathrm{-}2}$ and ${10}^{\mathrm{-}1}$, respectively.