Modeling Dark Matter with the Singlet Model

We study the simplest extension of the Standard Model, the addition of only one real singlet scalar, as our particle dark matter model. The singlet model for dark matter is characterized by only three parameters in addition to our current Standard Model setup: the mass of the dark matter particle, the self-coupling strength, and the strength of the coupling to the Higgs field. Our modeling is mainly based on the dark matter properties calculation tool micrOMEGAs. With the newest version of micrOMEGAs, we are able to obtain values of the dark matter relic density from both the freeze-in as well as the freeze-out mechanisms. We produced several plots with different groups of parameters, and were able to compare our results of dark matter relic density with the observed dark matter constraints obtained from the Wilkinson Microwave Anisotropy Probe (WMAP).