Implications of the muon anomalous magnetic moment for direct detection of neutralino dark matter

We investigate the implications of a recent measurement of the muon anomalous magnetic moment for the direct detection of neutralino dark matter in three different SUSY models: mSUGRA, a model with non-universal Higgs mass, and an SO(10) GUT model. We consider two cases for the value of Deltaa(mu), 27 x 10(-10) < Deltaa(mu) < 59 x 10(-10) (corresponding to a range of Ig about the experimental value) and 0 < Deltaa(mu) < 11 x 10(-10) (corresponding to a range more than 2 sigma below the experimental value). In the mSUGRA model, the counting ratio may be above the sensitivity of future experiments in the case that parameters are within a la bound of Deltaa(mu). However, Omega (x) tends to be large compared to the currently accepted value Omega = 0.3. For models with non-universal scalar masses, the possibility of having a consistent Omega (x) and a large counting ratio exists in the region of parameter space where the Higgsino mass mu is smaller than the mSUGRA prediction. In particular, in the SO(10) model, the LSP dark matter detection rate may be enhanced by almost one order of magnitude compared to that in mSUGRA and the model with non-universal Higgs mass, for cosmologically acceptable Omega (x)h(2). The highest detection rate of LSP dark matter occurs in the region where the LSP constitutes a subdominant part of the local halo DM. The implications of the SUSY mass parameter measurement subject to the cosmological constraint are also discussed.