  We evaluate the electric dipole moment of charged leptons in the standard
model, where the complex phase of the Cabibbo-Kobayashi-Maskawa matrix is the
only source of CP violation. We first prove that, at the quark-gluon level, it
is suppressed by a factor of $m_b^2 m_c^2 m_s^2$ at all orders of perturbation
due to the Glashow-Iliopoulos-Maiani mechanism. We then calculate the hadronic
long distance contribution generated by vector mesons at one-loop level. The
$|\Delta S|=1$ weak hadronic interaction is derived using the factorization,
and the strong interaction is modeled by the hidden local symmetry framework.
We find that the electric dipole moments of charged leptons obtained from this
hadronic mechanism are much larger than the perturbative four-loop level
quark-gluon process, by several orders of magnitude.
