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The QCD Lagrangian contains a CP violating gluon density term with a physicalcoefficient $\bar{\theta}$. The upper bound on the electric dipole moment ofneutron implies that the value of $\bar{\theta}$ should be extremely smallrather than the theoretically expected order of unity. The tiny $\bar{\theta}$is commonly known as the strong CP problem. In order to solve this puzzle, weconstruct a $\bar{\theta}$-characterized mirror symmetry between a pair of twindark sectors with respective discrete symmetries. By taking a proper phaserotation of dark fields, we can perfectly remove the parameter $\bar{\theta}$from the full Lagrangian. In our scenario, the discrete symmetry breaking,which are responsible for the mass generation of dark colored fermions and darkmatter fermions, can be allowed near the TeV scale. This means differentphenomena from the popular axion models with high scale Peccei-Quinn globalsymmetry breaking.

Heavy axions from twin dark sectors with $\bar{\theta}$-characterized mirror symmetry