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In split supersymmetry, gauginos and Higgsinos are the only supersymmetricparticles which are possibly accessible at foreseeable colliders. While thedirect experimental searches, such as LEP and Tevatron experiments, gave robustlower bounds on the masses of these particles, the cosmic dark matter can givesome upper bounds and thus have important implications for the searches atfuture colliders. In this work we scrutinize such dark matter constraints andshow the allowed mass range for charginos and neutralinos (the mass eigenstatesof gauginos and Higgsinos). We find that the lightest chargino must be lighterthan about 1 TeV under the popular assumption M_1=M_2/2 and about 2 or 3 TeV inother cases. The corresponding production rates of the lightest chargino at theCERN Large Hadron Collider (LHC) and the International Linear Colldier (ILC)are also shown. While in some parts of the allowed region the chargino pairproduction rate can be larger than 1 pb at LHC and 100 fb at the ILC, otherparts of the region correspond to very small production rates and thus there isno guarantee to find the charginos of split supersymmetry at future colliders.Comment: version in EPJC (refs added

Dark matter constraints on gaugino/Higgsino masses in split supersymmetry and their implications at colliders