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We study the interference of resonant Higgs boson exchange in neutralinoproduction in \mu^+ \mu^- annihilation with longitudinally polarized beams. Weuse the energy distribution of the decay lepton in the process \neutralino_j\to \ell^\pm \slepton^\mp to determine the polarization of the neutralinos. Inthe CP conserving Minimal Supersymmetric Standard Model a non-vanishingasymmetry in the lepton energy spectrum is caused by the interference of Higgsboson exchange channels with different CP eigenvalues. The contribution of thisinterference is large if the heavy neutral bosons H and A are nearlydegenerate. We show that the asymmetry can be used to determine the couplingsof the neutral Higgs bosons to the neutralinos. In particular, the asymmetryallows to determine the relative phase of the couplings. We find largeasymmetries and cross sections for a set of reference scenarios with nearlydegenerate neutral Higgs bosons.Comment: 20 pages, 6 figures, minor typos corrected, to appear in Eur. Phys.  J.

Interference of Higgs boson resonances in $\mu^ + \mu^- \to\tilde{\chi}^0_i\tilde{\chi}^0_j$ with longitudinal beam polarization