  In this note we briefly review the recent studies of dark matter in the MSSM
and its singlet extensions: the NMSSM, the nMSSM, and the general singlet
extension. Under the new detection results of CDMS II, XENON, CoGeNT and
PAMELA, we find that (i) the latest detection results can exclude a large part
of the parameter space which allowed by current collider constraints in these
models. The future SuperCDMS and XENON can cover most of the allowed parameter
space; (ii) the singlet sector will decouple from the MSSM-like sector in the
NMSSM, however, singlet sector makes the nMSSM quite different from the MSSM;
(iii) the NMSSM can allow light dark matter at several GeV exists. Light
CP-even or CP-odd Higgs boson must be present so as to satisfy the measured
dark matter relic density. In case of the presence of a light CP-even Higgs
boson, the light neutralino dark matter can explain the CoGeNT and DAMA/LIBRA
results; (iv) the general singlet extension of the MSSM gives a perfect
explanation for both the relic density and the PAMELA result through the
Sommerfeld-enhanced annihilation. Higgs decays in different scenario are also
studied.
