  The outstanding progress has been made in reducing the upper bounds on EDM of
several particles. Even if significant challenges must be overcome to further
improve these limits, it is still one of the best chances to detect new type of
interactions beyond the standard model. Analyzing several examples, we
highlight a common thread that is visible in different set-ups used for the EDM
detection. The electric dipole moment is one of the clear consequences of CP-
or T-violating interactions, however it is not the only one. These
symmetry-violating interactions enable extra phenomena that unavoidably
accompany the EDM-induced spin precession, and they must be taken into account
in planning and executing sensitive experiments. After reviewing three typical
cases, we suggest conditions for improving the sensitivity of detecting the
intrinsic EDM.
