Probing the CP of the Higgs at a $\gamma \gamma$ collider using $\gamma \gamma \to t \bar t \to lX$

We present results of an investigation to study CP violation in the Higgs sector in $t\bar t$ production at a $\gamma\gamma$-collider. This is done in a model independent way in terms of six form-factors $\{\Re(S_{\gamma}), \Im(S_{\gamma}), \Re(P_{\gamma}), \Im(P_{\gamma}), S_t, P_t\}$ which parameterize the CP mixing in Higgs sector. The angular distribution of the decay lepton from $t/\bar t$ is shown to be independent of any CP violation in the $tbW$ vertex. Hence it can be used as a diagnostic of the CP mixing. We study how well one can probe different combinations of the form factors by measurements of the combined asymmetries that we construct, in the initial state lepton (photon) polarization and the final state lepton charge, using only circularly polarized photons. We show that the method can be sensitive to loop-induced CP violation in the Higgs sector in the MSSM