A Composite Axion from a Supersymmetric Product Group

Abstract

A global $U(1{)}_{\text{PQ}}$ symmetry is protected from gravitational effects in the s-confining $SU(N{)}^k$ product group theory with $A+4Q+N\overline{Q}$ matter. If the $SU(4)$ family symmetry is gauged and an appropriate tree-level superpotential is added, then the dynamically generated superpotential spontaneously breaks $SU(4)\times U(1{)}_{\text{PQ}}\to SU(3{)}_c$ and produces a QCD axion. Small values of the $CP$-violating $\theta$ parameter are then possible without any fine-tuning, as long as the product group is suitably large. By introducing a second copy of the s-confining $SU(N)$ product group also coupled to the gauged $SU(4)$, we find that values as small as $N=7$ are consistent with $\bar{\theta }<10^{-10}$, even under the pessimistic assumption that the dominant contribution to the axion quality is at tree level.

arXiv comment16 pages, 3 figures, 4 tables, 2 appendices

References in corpus (23)

• Astrophysical Axion Bounds
• Planck-Scale Physics and the Peccei-Quinn Mechanism
• GRAVITY AND GLOBAL SYMMETRIES
• A Revised Experimental Upper Limit on the Electric Dipole Moment of the Neutron
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Confinement in N=1 SUSY Gauge Theories and Model Building Tools
• Duality in SUSY $SU(N)$ with an Antisymmetric Tensor
• A Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories
• The Peccei-Quinn Symmetry from a Gauged Discrete R Symmetry
• Some Examples of Chiral Moduli Spaces and Dynamical Supersymmetry Breaking
• A "Gauged" $U(1)$ Peccei-Quinn Symmetry
• Accidental Peccei-Quinn symmetry protected to arbitrary order
• The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
• Dynamics of the Peccei Quinn Scale
• Criteria for Natural Hierarchies
• Natural Theories of Ultra-Low Mass PNGB's: Axions and Quintessence
• Discrete Gauge Symmetries in Axionic Extensions of the SSM
• Probing a QCD String Axion with Precision Cosmological Measurements
• Axions and a Gauged Peccei-Quinn Symmetry
• Phases of N=1 supersymmetric chiral gauge theories
• QCD, Strong CP and Axions
• Wormholes and masses for Goldstone bosons
• Product Group S-Confinement in SUSY Gauge Theories

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