CP odd anomalous interactions of Higgs boson in its production at photon colliders

We discuss the potentialities of the study of CP odd interactions of the Higgs boson with photons via its production at gamma and cgamma colliders. Our treatment of Hgammagamma and HZgamma anomalous interactions includes a set of free parameters, whose impact oil physical observables has not been considered before. We focus on two reactions, gammagamma --> H and egamma --> eH, and introduce the polarization and/or azimuthal asymmetries that are particularly sensitive to specific features of the anomalies. We discuss the ways of disentangling the effects of physically different parameters of the anomalies and estimate what the magnitude of CP violating phenomena is that can be seen in these experiments.