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High-quality axions in solutions to the $\mu$ problem
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abstract
Solutions to the $\mu$ problem in supersymmetry based on the Kim-Nilles mechanism naturally feature a Dine-Fischler-Srednicki-Zhitnitsky (DFSZ) axion with decay constant of order the geometric mean of the Planck and TeV scales, consistent with astrophysical limits. We investigate minimal models of this type with two gauge-singlet fields that break a Peccei-Quinn symmetry, and extensions with extra vectorlike quark and lepton supermultiplets consistent with gauge coupling unification. We show that there are many anomaly-free discrete symmetries, depending on the vectorlike matter content, that protect the Peccei-Quinn symmetry to sufficiently high order to solve the strong CP problem. We study the axion couplings in this class of models. Models of this type that are automatically free of the domain wall problem require at least one pair of strongly interacting vectorlike multiplets with mass at the intermediate scale, and predict axion couplings that are greatly enhanced compared to the minimal supersymmetric DFSZ models, putting them within reach of proposed axion searches.
Forward citations
Cited by 4 Pith papers
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A High-Quality Axion from Exact SUSY Chiral Dynamics
A supersymmetric chiral gauge theory stabilized by anomaly-mediated supersymmetry breaking produces a composite QCD axion whose Peccei-Quinn symmetry is protected by a discrete gauge symmetry.
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Axion Quality Problem: Keep Calm and Baryon
The QCD axion can be the Goldstone boson of baryon number in a minimal N_c=N_f supersymmetric QCD sector, with PQ-breaking effects suppressed by dimension N_c+2 operators.
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Serendipitous supersymmetric solution to the strong CP problem
Anomaly-free discrete R-symmetries plus Kim-Nilles regeneration of the mu term force an accidental U(1)_PQ whose spontaneous breaking yields a SUSY DFSZ axion that solves strong CP.
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Flavor in Ninths and a Discrete Gauge Origin of the QCD Axion
A 'flavor in ninths' fit is claimed to force a Z18 discrete gauge symmetry whose flavon doubles as the QCD axion, fixing the axion mass at 7-12 μeV with DFSZ-II coupling.
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