Genuine CP-odd Observables at the LHC

We discuss how to construct genuine CP-odd observables at the LHC. We classify the observables according to the even and odd properties under the naive T-transformation (\hat{T}). There are two classes of observables of our interests: CP-odd and \hat{T}-even; CP-odd and \hat{T}-odd. We expect them to have broad applications to many processes in theories beyond Standard Model with CP violation. For the purpose of illustration, we use simple example of W+W- production and subsequent decays at the LHC, where the CP violation effects are parameterized by effective CP-violating operators of WWZ coupling. We find significant sensitivity to the CP-odd couplings.