The MSSM with Non-Universal Higgs Masses

I review a generalization of CMSSM/mSUGRA model in which the Higgs masses are let to be free, namely the Non Universal Higgs Masses (NUHM) model. In our study we explore this model by employing constraints from cosmology as well as from particle physics to restrict the parameter space. We also calculate the neutralino-proton cross section in the allowed regions.