  In a previous paper [1], we studied the $\eta'$ mass and formulated its
chirally symmetric coupling to fermions which induces electric dipole moment
(EDM). Here we calculate the EDM to one-loop. It is finite, having no
ultraviolet divergence while its infrared divergence is canceled by soft photon
emission processes \emph{exactly} as for $\theta=0$. The coupling does not lead
to new divergences (not present for $\sin\theta=0$) in soft photon processes
either. Furthermore, as it was argued previously [1], the EDM vanishes if
suitable mixed quantum states are used. This means that in a quantum theory
based on such mixed states, a strong bound on EDM will not necessarily lead to
a strong bound such as $|\sin \theta|\lesssim 10^{-11}$ . This fact eliminates
the need to fine-tune $\theta$ or for the axion field.
