Strong CP Violation and large-$N_c$ spin-flavor symmetry
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911285880291328 |
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| author | Richardson, Thomas R. |
| author_facet | Richardson, Thomas R. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong CP Violation and large-$N_c$ spin-flavor symmetry Richardson, Thomas R. High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory 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. |
| title | Strong CP Violation and large-$N_c$ spin-flavor symmetry |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2509.03613 |