Abstract
We realize high scale supersymmetry in the mirage mediation. The Higgs sector is extended with the Peccei-Quinn symmetry, and the higgsino mass term is generated by the Kim-Nilles mechanism. In particular, the Peccei-Quinn symmetry breaking scale naturally lies on the mirage messenger scale due to the mixed modulus-anomaly mediation with the gauge coupling unification. Consequently, the higgsino mass term is of order the weak scale while the gravitino mass is of PeV order. This hierarchy naturally leads to the correct electroweak symmetry breaking. The higgsinos are thus in the range accessible at future lepton colliders, while other sparticles are well-above the current LHC reach and consistent with the observed Higgs boson. The axino is dominantly produced from the modulus decay and accounts for the correct dark matter abundance.
Highlights
Supersymmetry (SUSY) is one of the most promising new physics to alleviate the quadratic sensitivity of the Higgs sector to unknown ultraviolet physics which is genuinely present in the standard model (SM)
As the first explicit realization of four-dimensional de Sitter vacua with all string moduli stabilized, the KKLT provides a natural and interesting framework to realize high scale SUSY where the electroweak symmetry breaking (EWSB) is successfully achieved by the Higgsinos much lighter than the other sparticles
The EWSB requires μ ∼ m3=2=ð8π2Þ2 if B is around the gravitino mass as is generally the case when anomaly mediation is sizable
Summary
Supersymmetry (SUSY) is one of the most promising new physics to alleviate the quadratic sensitivity of the Higgs sector to unknown ultraviolet physics which is genuinely present in the standard model (SM). At the low energy scale, SUSY is softly broken, and the Higgs sector becomes quadratically sensitive only to the sparticle soft masses For this reason, weak scale sparticles have been expected to naturally accommodate the electroweak symmetry breaking (EWSB), and have been considered as one of the main physics targets of the large hadron collider (LHC). Way to protect the Higgs sector against enormous quantum corrections, and at the same time it leads to the successful gauge coupling unification [4] It provides a robust mechanism for dark matter production, cosmological inflation, etc.
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