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Recently, WMAP has measured the cosmological parameters to a much greateraccuracy. We analyze the implications of this more precise measurement forsupersymmetric dark matter and for the direct detection of supersymmetry ataccelerators. We consider mSUGRA including also the hyperbolic branch in theradiative breaking of the electroweak symmetry. On the part of the hyperbolicbranch where the lightest neutralino is dominantly a higgsino rather than beingmostly a bino, the relic density constraints are satisfied by coannihilationwith the next lightest neutralino and the light chargino. Including this branchthe lightest neutralino mass satisfies $m_{\chi_1^0}\leq 1200$ GeV for$\tan\beta\leq 50$. Constraints of $b\to s+\gamma$ and of $g_{\mu}-2$ are alsoanalyzed. It is shown that the neutralino-proton cross section in each casewill fall within the reach of dark matter experiments. Possibility for thedirect detection of supersymmetry is discussed in the allowed regions of theparameter space consistent with WMAP constraints. A brief discussion of thehyperbolic branch and focus point region (HB/FP) is also given.Comment: Revised version to appear in Physical Review D. 23 pages, Latex,  including 7 figure

WMAP constraints, supersymmetric dark matter, and implications for the direct detection of supersymmetry