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In split supersymmetry the gauginos and higgsinos are the only supersymmetricparticles possibly accessible at foreseeable colliders like the CERN LargeHadron Collider (LHC) and the International Linear Collider (ILC). In order toaccount for the cosmic dark matter measured by WMAP, these gauginos andhiggsinos are stringently constrained and could be explored at the collidersthrough their direct productions and/or virtual effects in some processes. Theclean environment and high luminosity of the ILC render the virtual effects ofpercent level meaningful in unraveling the new physics effects. In this work weassume split supersymmetry and calculate the virtual effects of theWMAP-allowed gauginos and higgsinos in Higgs productions e+e- -> Z h and e+e--> \nu_e \bar_\nu_e h through WW fusion at the ILC. We find that the productioncross section of e+e- -> Zh can be altered by a few percent in some part of theWMAP-allowed parameter space, while the correction to the WW-fusion processe+e- -> \nu_e \bar_\nu_e h is below 1%. Such virtual effects are correlatedwith the cross sections of chargino pair productions and can offercomplementary information in probing split supersymmetry at the colliders.Comment: more discussions added (7 pages, 10 figs

Virtual effects of split-SUSY in Higgs productions at linear colliders