  We study the new physics(NP) related to the recent discovered 125 GeV Higgs
by employing an important subset of the standard model(SM) gauge invariant
dimension-six operators constructed by the the SM Higgs and gauge fields.
Explicitly, we perform a model-independent study on the production and decays
of the Higgs, the electric dipole moments(EDM) of the neutron and the electron,
and we take into account the anomalous magnetic dipole moments of muon and
electron as well.
  We find that, even all Higgs decay channels agree with the SM predictions,
the SM theoretical uncertainties provide a lot of room to host NP associated
with the 125 GeV boson. A linear relation is revealed in our numerical study
that $\mu_{ZZ}\simeq \mu_{WW}$ and $ 0.6 \lesssim \mu_{ZZ,WW} \lesssim 1.4$ at
95% CL with or without the EDM's constraints. The neutron and electron EDM's
severely constrain the relevant Wilson coefficients. Therefore the CP violating
components in the $h\rightarrow WW, ZZ$ channels are too small, $\sim{\cal
O}(10^{-5})$, to be detected at LHC. However, we point out that even the parity
of the 125GeV boson has been largely determined to be even in the $h\to ZZ$
channel, one should pay special attention to the potentially large CP violation
in the $h\to \gamma\gamma$ and $h\to \gamma Z$ channels. This should be
seriously checked in the future spin correlation experiments.
