MSSM Dark Matter in Light of Higgs and LUX Results

The constraints imposed on the Minimal Supersymmetric Standard Model (MSSM) parameter space by the Large Hadron Collider (LHC) Higgs mass limit and gluino mass lower bound are revisited. We also analyze the thermal relic abundance of lightest neutralino, which is the Lightest Supersymmetric Particle (LSP). We show that the combined LHC and relic abundance constraints rule out most of the MSSM parameter space except a very narrow region with very large $\tan \beta~(\sim 50)$. Within this region, we emphasize that the spin-independent scattering cross section of the LSP with a proton is less than the latest Large Underground Xenon (LUX) limit by at least two order of magnitudes. Finally, we argue that non-thermal Dark Matter (DM) scenario may relax the constraints imposed on the MSSM parameter space. Namely, the following regions are obtained: $m_0\simeq {\cal O}(4)$ TeV and $m_{1/2}\simeq 600$ GeV for low $\tan\beta~(\sim 10)$; $m_0\sim m_{1/2} \simeq {\cal O}(1)$ TeV or $m_0 \simeq {\cal O}(4)$ TeV and $m_{1/2} \simeq 700$ GeV for large $\tan \beta~(\sim 50)$.