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Mass vs Peccei-Quinn scale


Basic plot

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Plot with projections

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It must be noted that the area to the left of the QCD axion can only make sense for a QCD axion whose mass is much smaller than the mass arising just from the anomalous gluon coupling of the axion (which defines 1/f_a). There are very few models that achieve this naturally, such as the Z_N axion model of Hook (https://arxiv.org/abs/1802.10093), and developed phenomenologically by Di Luzio et al. (https://arxiv.org/pdf/2102.00012.pdf)

Data files and references

Experiments

Other bounds

(*) Using corrected values from here