Study of a WIMP dark matter model with the updated results of CDMS II

Abstract: The new observation of CDMS II favors low mass WIMPs. Taking the CDMS II new results as inputs, we consider a SM singlet: the darkon as the dark matter candidate, which can be either scalar, fermion or vector. It is found that the simplest scenario of DM+SM conflicts with the stringent constraint set by the LHC data. New physics beyond the SM is needed, and in this work, we discuss an extended standard model $SU_L(2)\otimes U_Y(1)\otimes U(1)'$ where $U(1)'$ only couples to the darkon. The new gauge symmetry is broken into $U_{em}(1)$ and two neutral bosons $Z^0$ and $Z'$ which are mixtures of $W^3_{\mu},\; B_{\mu}\; X_{\mu}$ are resulted in. Following the literature and based on the CDMS data, we make a complete analysis to testify the validity of the model. The cross section of the elastic scattering between darkon and nucleon is calculated, and the DM relic density is evaluated in the extended scenario as well. It is found that considering the constraints from both cosmology and collider experiments, only if $Z'$ is lighter than $Z^0$, one can reconcile all the presently available data.