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

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