12.07.2015 Views

Mohamad-Ziad Charif - Antares

Mohamad-Ziad Charif - Antares

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Figure 2.8: Energy dependence of the inverse coupling coefficient of the threeforces (strong, weak, and electromagnetic) in Supersymmetry[29].to a gauge anomaly and would cause the theory to be inconsistent. However, ifone more Higgsino is added, then there is no gauge anomaly, making the simplesttheory is the one with two Higgsinos and therefore two scalar Higgs doublets.Additionally, this predicts that the lightest neutral Higgs to be lighter than 130GeV. The Higgs particle candidate found at LHC[31] (mass ∼ 125 GeV) is inagreement with the prediction made in MSSM. However, working with MSSMis quite difficult as the theory has more than 100 free parameters (by contrastStandard Model have less than 20), making any prediction hindered by the largeamount of simulation needed to search all of the parameter space. In responseto this problem a set of assumption have been made in order to constrain theparameters. CMSSM or Constrained MSSM is one of these models that containcertain assumptions. These assumptions are as follows:• Universality of gaugino masses at the GUT scale.• Universality of scalar masses ot the GUT scale.• Universality of the tri-linear scalar (Yukawa) couplings at the GUT scale.• Symmetry breaking by means of Electro-Weak Symmetry Breaking drivenby the renormalization group drives the mass of the H 0 u to negative values(or at least extremely small when compared to H 0 d )These assumptions lead us to a model where we only have 4(+1) parameters:• Gaugino masses at the GUT : m 1/2• Scalar masses at the GUT: m 017

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