We study the production of a heavy CP-odd $A^0$ boson in association with a photon $e^{+}{e}^{-}\to A^0\gamma$ and a Z boson $e^{+}{e}^{-}\to A^{0}Z$ as well as the single production of $A^0$ via $e^{+}{e}^{-}\to {\nu }_e{\overline{\nu }}_e{A}^0$ in the minimal supersymmetric standard model (MSSM) with CP violating phases. In the case of $e^{+}{e}^{-}\to A^0\gamma {/A}^{0}Z,$ we show that the squark contribution, which vanishes in the MSSM with real parameters, turns out to be sizable in the presence of CP violating phases in the soft supersymmetric parameters. For $e^{+}{e}^{-}\to {\nu }_e{\overline{\nu }}_e{A}^0$ in both the two Higgs doublet model and the MSSM with real parameters, the cross section does not reach observable rates at a Next Linear Collider. It is found that, with a large CP violating phase for $A_t,$ cross sections of the order of 0.08 fb are attainable for all the processes $e^{+}{e}^{-}\to A^0\gamma ,$ $e^{+}{e}^{-}\to A^{0}Z,$ and $e^{+}{e}^{-}\to {\nu }_e{\overline{\nu }}_e{A}^0.$

• Received 28 July 2002

DOI:https://doi.org/10.1103/PhysRevD.67.015003