Probing CP Violating Two Higgs Doublet Model through Interplay between LHC and ILC

We study the neutral Higgs boson production at the CERN Large Hadron Collider (LHC) and the future $e^{-}{e}^{+}$ linear collider (ILC) in the two Higgs doublet model with CP violation. The CP-even and CP-odd scalars are mixed in this model, which affects the production processes of neutral Higgs boson. We examine the correlation of the Higgs production at LHC and ILC and provide a strategy to distinguish the model from the CP conserving model and to determine the parameters of the Higgs sector.