Kavli Affiliate: Hitoshi Murayama
| Summary:
In order to solve the strong CP problem, we study the possibility that the Peccei–Quinn symmetry is broken it below/ the QCD scale. We find that a QCD axion can be above GeV, and may be among the observed $η$ resonances. It is immune to quantum gravity corrections. The only fermion that has a $U(1)$ Peccei–Quinn charge is the right-handed up quark. Flavor-changing neutral currents are surprisingly small. All accelerator and astrophysical limits can be evaded. The most significant constraint is the mass splitting between $π^pm$ and $π^0$. In a UV completed model, LHC can look for a heavy quark pair $cal D overlinecal D$ followed by the decay $cal D rightarrow W+u$ or a single production $q u rightarrow q, cal U$ followed by $cal U rightarrow u Z, uh$. There can be an $O(1)$ contribution $h rightarrow ubaruvarphi$ in the measurement of $h rightarrow gg$ or permille effects on the hadronic $Z$ width at a Higgs factory.
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