Abstract
We discuss gauge mediated supersymmetry breaking models which explain the observed muon anomalous magnetic moment and the Higgs boson mass simultaneously. The successful explanation requires the messenger sector which violates the relation motivated by the grand unification theory (GUT). The naive violation of the GUT relation, however, ends up with the CP problem. We propose a model in which the phases of the gaugino masses are aligned despite the violation of the GUT relation. We also consider a model which generates the μ-term and the additional Higgs soft masses squared without causing CP violation. As a result, we find a successful model which explains the muon anomalous magnetic moment and the Higgs boson mass. The model is also free from the CP, flavor-changing neutral current and the lepton flavor violation problems caused by the subdominant gravity mediation effects. The lightest supersymmetric particles are gravitino/goldstini and the next-to-lightest ones are the Wino/Higgsinos in the typical parameter space. We also study the LHC constraints.
Highlights
Among various candidates for physics beyond the SM, which can explain the discrepancy, the minimal supersymmetric (SUSY) SM (MSSM) has been the most attractive one
The light SUSY particles generically lead to large flavor changing neutral current (FCNC) effects, the lepton flavor violations (LFV), and CP violations
If we can optimize the LHC searches for the present model, we have a large chance of the discovery of the extended Sweet Spot Supersymmetry for muon g − 2
Summary
Let us first review the SUSY contribution to aμ in the GMSB. In the minimal setup, the messenger chiral multiplets (Φ, Φ ) are in the 5 + 5 ̄ representation of the minimal GUT. The messenger multiplets couple to the SUSY breaking field Z via the superpotential,. The gaugino masses at the messenger mass scale, Mmess = kAZ, are given by. We find that the minimal GMSB fails to explain aμ and the Higgs boson mass simultaneously. We have checked that the minimal GMSB model cannot explain aμ and the Higgs boson mass simultaneously even in such a parameter region. Aμ and the observed Higgs boson mass can be explained simultaneously without violating the GUT relation [76]. We focus on the case without a messengerHiggs mixing, and the trilinear A-terms vanish at the messenger scale as in the minimal setup of GMSB
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