  The addition of non-renormalizable terms involving the Higgs fields to the
MSSM ameliorates the little hierarchy problem of the MSSM. For neutralino dark
matter, new regions for which the relic abundance of the LSP is consistent with
WMAP (as the bulk region and the stop coannihilation region) are now permitted.
In this framework, we analyze in detail first the direct dark matter detection
prospects in a XENON-like experiment; then we study the capability of detecting
gamma-rays produced in the annihilation of neutralino LSPs in the FERMI
satellite.
