PeV gravitino, weak-scale Higgsino, and GeV axino in the Kachru-Kalosh-Linde-Trived setup

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 PeVorder. 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.

Automated summary

In this study, high scale supersymmetry is achieved in mirage mediation, leading to correct electroweak symmetry breaking. The mass of Higgsino and other sparticles relative to the dark matter abundance are explained by Peccei-Quinn symmetry and Kim-Nilles mechanism.