PeV Gravitino, Weak-scale Higgsino and GeV Axino in KKLT

TL;DR

This paper explores a high-scale supersymmetry model within mirage mediation, featuring a Peccei-Quinn extension that naturally produces a weak-scale higgsino mass, PeV gravitino, and axino dark matter, with testable collider implications.

Contribution

It introduces a novel realization of high-scale supersymmetry with a natural hierarchy of sparticle masses and dark matter candidates in the KKLT framework, incorporating the Kim-Nilles mechanism.

Findings

Higgsino mass is around the weak scale, accessible at future colliders.

Gravitino mass is of PeV order, consistent with high-scale SUSY.

Axino dark matter abundance matches observations.

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.