12.07.2015 Views

Mohamad-Ziad Charif - Antares

Mohamad-Ziad Charif - Antares

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Figure 2.9: Parameter space of m 1/2 and m 0 plane with constrains on the LSP.Green region is where the predicted Ω c is in agreement with WMAP.• Tri-linear scalar couplings on the GUT scale: A 0• The ratio of the vacuum expectation values of the neutral components of thetwo Higgs doublets 〈Hu 0 〉 and 〈Hd 0 v2〉 at the electro-weak scale: tan(β) =v1• Sign of the higgsino mass parameter µ (+1 or -1)Having four parameters (plus sign(µ)) is much easier to deal with, and constrainingmodels is something now extremely easy to do.The lightest supersymmetric particle in this model is usually the lightest of theneutralinos which are a mixing of the four superpatners ( ˜B, ˜W 3 , ˜H u 0 and ˜Hd 0 ) of theneutral gauge bosons and higgs of the electro-weak section of Standard Model (B,W 3 , Hu 0 and Hd 0 ). The neutralinos are neutral and colorless making the lightest ofthem a natural candidate for WIMPs. Additionally, inspection of various regionsof the parameters space showed that many regions of the space produce the correctrelic density Ω c as we can see in figure 2.9.Finally it is important to note that while LHC is constraining the parameter space(m ˜q, ˜g > 1TeV ), there have not been any constraining on the neutralino mass sofar in addition to those from the LEP, leaving a reduced parameter space that isstill valid for consideration. In addition, CMSSM is used as a general benchmark,so it will be used during this thesis as a benchmark scenario for WIMP studies aswell.18

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