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(\( \mathcal{N} \)) gauge interactions with fermions in the fundamental and a scalar in the symmetric. The axion arises from spontaneous symmetry breaking to SO(\( \mathcal{N} \)), that confines at a lower energy scale. Axion quality in the model needs \( \mathcal{N} \) ≳ 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(\( \mathcal{N} \)) broken to Sp(\( \mathcal{N} \)) needs even \( \mathcal{N} \) ≳ 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).
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Ardu, M., Di Luzio, L., Landini, G. et al. Axion quality from the (anti)symmetric of SU(\( \mathcal{N} \)). J. High Energ. Phys. 2020, 90 (2020). https://doi.org/10.1007/JHEP11(2020)090
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DOI: https://doi.org/10.1007/JHEP11(2020)090