Probing CP properties of the Higgs Boson via boldmath{e^+e^-to t bar{t}φ

One of the main endeavors at future high-energy colliders is the search for the Higgs boson(s) and, once found, the probe of the fundamental properties. In particular, the charge conjugation and parity (CP) quantum numbers have to be determined. We show that these are unambiguously accessible at future $e^+e^-$ colliders through the measurement of the total cross section and the top polarization in associated Higgs production with top quark pairs.