Axion quality from the (anti)symmetric of SU(N)

Abstract

We propose two models where a U(1) Peccei-Quinn global symmetry arises accidentally and is respected up to high-dimensional operators, so that the axion solution to the strong CP problem is successful even in the presence of Planck-suppressed operators. One model is SU$(N)$ gauge interactions with fermions in the fundamental and a scalar in the symmetric. The axion arises from spontaneous symmetry breaking to SO$(N)$, that confines at a lower energy scale. Axion quality in the model needs $N\gtrsim 10$. SO bound states and possibly monopoles provide extra Dark Matter candidates beyond the axion. In the second model the scalar is in the anti-symmetric: SU$(N)$ broken to Sp$(N)$ needs even $N\gtrsim 20$. The cosmological DM abundance, consisting of axions and/or super-heavy relics, can be reproduced if the PQ symmetry is broken before inflation (Boltzmann-suppressed production of super-heavy relics) or after (super-heavy relics in thermal equilibrium get partially diluted by dark glue-ball decays).

arXiv comment26 pages, 5 figures. v3: extra application mentioned; dilution factor in eq. (27) corrected, qualitative conclusions unchanged

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• Thermal production of cold "hot dark matter" around eV
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• The Quality/Cosmology Tension for a Post-Inflation QCD Axion
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• Probing a light dark sector at future lepton colliders via invisible decays of the SM-like and dark Higgs bosons
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• High-quality axions in a class of chiral $U(1)$ gauge theories
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• Confinement On the Moose Lattice
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