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We study the constraints on neutralino dark matter in minimal low energysupersymmetry models and the case of heavy lepton and quark scalarsuperpartners. For values of the Higgsino and gaugino mass parameters of theorder of the weak scale, direct detection experiments are already puttingstrong bounds on models in which the dominant interactions between the darkmatter candidates and nuclei are governed by Higgs boson exchange processes,particularly for positive values of the Higgsino mass parameter mu. Fornegative values of mu, there can be destructive interference between theamplitudes associated with the exchange of the standard CP-even Higgs boson andthe exchange of the non-standard one. This leads to specific regions ofparameter space which are consistent with the current experimental constraintsand a thermal origin of the observed relic density. In this article we studythe current experimental constraints on these scenarios, as well as the futureexperimental probes, using a combination of direct and indirect dark matterdetection and heavy Higgs and electroweakino searches at hadron colliders.

Constraints on Supersymmetric Dark Matter for Heavy Scalar Superpartners