High-quality composite Pati-Salam axion
We present a composite QCD axion model where the Peccei-Quinn symmetry emerges as a high-quality, accidental symmetry. The axion potential is only modified by eight-fermion, dimension-12 operators, which if present at the Planck scale, allow for axion dark matter from misalignment while solving the strong 𝐶𝑃 problem. The model is an SU(𝑁 𝑐 ) gauge theory with ten flavors where the Pati-Salam unified subgroup SO(6) × SO(4) ⊂ SU(10)𝐿 and Sp(10) ⊂ SU(10) 𝑅 are weakly gauged. The dynamics breaks SU(10) 𝐿 × SU(10) 𝑅 → SU(10) 𝑉 and the weakly gauged groups to U(3) × U(2) ⊃ SU(3) 𝑐 × SU(2) 𝐿 × U(1) 𝑌 , with the QCD axion identified as one of the Nambu-Goldstone bosons. This axion has a relatively large coupling to photons while a residual $\bar{𝜃}$ eff may be just below the current limit on the neutron electric dipole moment. If the dimension-12 operators are present near the grand unified theory scale, they can cause domain wall networks to decay, allowing for axion dark matter even for the postinflationary scenario.