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Complete one-loop results, supplemented by two-loop Higgs propagator-typecorrections, are obtained for the class of processes chi^0_i->chi^0_j h_a inthe MSSM with CP-violating phases for parameters entering the process beyondlowest order. The parameter region of the CPX benchmark scenario where a verylight Higgs boson is unexcluded by present data is analysed in detail. We findthat the decay chi^0_2->chi^0_1 h_1 may offer good prospects to detect such alight Higgs boson.

Precise Predictions for Higgs Production in Neutralino Decays