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Non-Invertible Peccei-Quinn Symmetry, Natural 2HDM Alignment, and the Visible Axion

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arxiv 2412.05362 v2 pith:HP2HP4EV submitted 2024-12-06 hep-ph hep-th

Non-Invertible Peccei-Quinn Symmetry, Natural 2HDM Alignment, and the Visible Axion

classification hep-ph hep-th
keywords non-invertiblesymmetryalignmentaxioncolor-flavornaturalpeccei-quinnquark
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We identify $m_{12}^2$ as a spurion of non-invertible Peccei-Quinn symmetry in the type II 2HDM with gauged quark flavor. Thus a UV theory which introduces quark color-flavor monopoles can naturally realize alignment without decoupling and can furthermore revive the Weinberg-Wilczek axion. As an example we consider the $SU(9)$ theory of color-flavor unification, which needs no new fermions. This is the first model-building use of non-invertible symmetry to find a Dirac natural explanation for a small $\textit{relevant}$ parameter.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quark-Lepton Color-Flavor Unification

    hep-ph 2026-05 unverdicted novelty 7.0

    An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge...

  2. Testing F-theory GUTs with the Axiverse

    hep-th 2026-06 unverdicted novelty 6.0

    In F-theory GUTs, non-universal ALPs induced by hypercharge flux satisfy g_aγ/m_a well below the QCD axion prediction when gauge couplings unify near the string scale.

  3. Zee models with a non-invertible $Z_M$ symmetry

    hep-ph 2026-05 unverdicted novelty 5.0

    Zee models are classified under non-invertible Z_M symmetries; viable candidates are identified from data consistency, and a Z_7 benchmark yields numerical predictions for neutrino parameters and CLFV rates.