Gauged Peccei-Quinn Symmetry - A Case of Simultaneous Breaking of SUSY and PQ Symmetry

Abstract

Recently, a simple prescription to embed the global Peccei-Quinn (PQ) symmetry into a gauged $U(1)$ symmetry has been proposed. There, explicit breaking of the global PQ symmetry expected in quantum gravity are highly suppressed due to the gauged PQ symmetry. In this paper, we apply the gauged PQ mechanism to models where the global PQ symmetry and supersymmetry (SUSY) are simultaneously broken at around $\mathcal{O}(10^{11-12})$\,GeV. Such scenario is motivated by an intriguing coincidence between the supersymmetry breaking scale which explains the observed Higgs boson mass by the gravity mediated sfermion masses, and the PQ breaking scale which evades all the astrophysical and the cosmological constraints. As a concrete example, we construct a model which consists of a simultaneous supersymmetry/PQ symmetry breaking sector based on $SU(2)$ dynamics and an additional PQ symmetry breaking sector based on $SU(N)$ dynamics. We also show that new vector-like particles are predicted in the TeV range in the minimum model, which can be tested by the LHC experiments.

35 pages, 2 figures

References in corpus (8)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Symmetries and Strings in Field Theory and Gravity
• Possible Signals of Wino LSP at the Large Hadron Collider
• Gauge Mediation in Metastable Vacua
• Search for pair and single production of new heavy quarks that decay to a $Z$ boson and a third-generation quark in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Conformal Gauge Mediation
• Protecting the Axion with Local Baryon Number
• Cosmologically allowed regions for the axion decay constant $F_a$

Cited by in corpus (15)

• An even lighter QCD axion
• Automatic Peccei-Quinn symmetry
• A Holographic Perspective on the Axion Quality Problem
• Axion Quality from Superconformal Dynamics
• $B-L$ as a Gauged Peccei-Quinn Symmetry
• High-quality axions in solutions to the $\mu$ problem
• Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity
• Axiogenesis with a Heavy QCD Axion
• A natural and simple UV completion of the QCD axion model
• Baryon Asymmetric Universe from Spontaneous CP Violation
• High Quality Axion in Supersymmetric Models
• New Type of String Solutions with Long Range Forces
• Proton Decay and Axion Dark Matter in SO(10) Grand Unification via Minimal Left-Right Symmetry
• QCD Axion From a Spontaneously Broken B-L Gauge Symmetry
• Axion and FIMP Dark Matter in a $U(1)$ extension of the Standard Model