Peccei-Quinn Symmetry from Dynamical Supersymmetry Breaking

TL;DR

This paper proposes a model linking the Peccei-Quinn symmetry to dynamical supersymmetry breaking, resulting in a rich phenomenology including axion and dark matter candidates, within a framework compatible with gravity mediation.

Contribution

It embeds the Peccei-Quinn mechanism into a dynamical supersymmetry breaking model using anomaly-free discrete symmetries, connecting two fundamental scales.

Findings

Predicts a QCD axion with decay constant ~10^10 GeV.

Features mixed WIMP/axion dark matter.

Requires five pairs of extra matter multiplets near the gravitino mass.

Abstract

The proximity of the Peccei-Quinn scale to the scale of supersymmetry breaking in models of pure gravity mediation hints at a common dynamical origin of these two scales. To demonstrate how to make such a connection manifest, we embed the Peccei-Quinn mechanism into the vector-like model of dynamical supersymmetry breaking a la IYIT. Here, we rely on the anomaly-free discrete Z4R symmetry required in models of pure gravity mediation to solve the mu problem to protect the Peccei-Quinn symmetry from the dangerous effect of higher-dimensional operators. This results in a rich phenomenology featuring a QCD axion with a decay constant of O(10^10) GeV and mixed WIMP/axion dark matter. In addition, exactly five pairs of extra 5 and 5* matter multiplets, directly coupled to the supersymmetry breaking sector and with masses close to the gravitino mass, m3/2 ~ 100 TeV, are needed to cancel the Z4R anomalies.