Mohamad-Ziad Charif - Antares

Figure 2.10: Limits on spin-independent elastic WIMP-nucleon cross-section σas function of WIMP mass from XENON experiment[41].conflict with limits set by other experiments such XENON[41] (figure 2.10) andCOUPP[36] (figure 2.11) .It is clear from equation 2.15 that the spin-independent cross-section is sensitiveto mass of the nuclei while the spin-dependent does not have this feature.Figure 2.12 shows us the WIMPs-proton spin-independent cross-section [pb] asa function of the WIMP mass [GeV] in the CMSSM framework, and figure 2.13the spin-dependent cross-section. As we saw in equation 2.15 we saw that spinindependentcross section is proportional to the atomic number and that the spindependent(eq 2.17) does not, and if we compare figures 2.12 and 2.13 we see thatthe spin-dependent is greater than independent. This is normal, as our neutralinois fermion with a spin, and spin-dependent cross-sections are always higher thanindependent cross-sections for fermions.2.3.2 Indirect detectionThe principle of indirect detection of dark matter is based on the idea that darkmatter due to their gravitational effect can be trapped inside heavy objects, suchas galaxies, galactic centers, and stars such as our own. Now as stated in the directdetection section, WIMPs can elastically scatter off nuclei. It is possible that even20