Strong 𝐶𝑃 violation and large-𝑁 𝑐 spin-flavor symmetry
We revisit the contribution of the QCD $\bar{𝜃}$ term to the 𝐶𝑃-violating pion-nucleon couplings and the nucleon electric dipole moment in a combined large-𝑁 𝑐 and chiral perturbation theory framework. In particular, we approach this issue through the emergent spin-flavor symmetry of the baryon sector at large but finite 𝑁 𝑐 . We obtain good agreement with previous analyses for the pion-nucleon couplings and show that the large-𝑁 𝑐 framework indicates that tree-level contributions to the electric dipole moment possibly play a dominant role. The spin-flavor symmetry also enables us to provide novel constraints on 𝐶𝑃-violating pion-Δ couplings, as well as the Δ electric dipole moment and Δ𝑁 transition moment.