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We study neutralino production at the linear collider with the subsequenttwo-body decays ~chi^0_i -> ~chi^0_n Z^0 and Z^0 -> l^+ l^-, with l=e, mu, tau,or Z^0 -> q q- with q=c,b. We show that transverse electron and positron beampolarizations allow the definition of unique CP observables. These areazimuthal asymmetries in the distributions of the final leptons or quarks. Wecalculate these CP asymmetries and the cross sections in the MinimalSupersymmetric Standard Model with complex higgsino and gaugino parameters muand M_1. For final quark pairs, we find CP asymmetries as large as 30%. Wediscuss the significances for observing the CP asymmetries at the InternationalLinear Collider (ILC). Finally we compare the CP asymmetries with thoseasymmetries which require unpolarized and/or longitudinally polarized beamsonly.

CP asymmetries with Longitudinal and Transverse Beam Polarizations in Neutralino Production and Decay into the Z^0 Boson at the ILC