A Pati-Salam realization of the Nelson-Barr mechanism
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arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912993460092928 |
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| author | Murgui, Clara |
| author_facet | Murgui, Clara |
| contents | We present a UV completion of the Standard Model in which quarks and leptons are unified under color SU(4). A single fermionic representation, the real antisymmetric, provides the building blocks to address the strong CP problem via the Nelson-Barr mechanism, while simultaneously correcting the charged-lepton and down-quark mass relations predicted by Pati-Salam theories for the two heaviest generations. We show that the characteristic scales of the theory are strongly constrained by its phenomenology. The interplay between the quality of the Nelson-Barr mechanism and the non-observation of baryon-number-violating processes determines the scale of spontaneous CP violation and the mass of the new vector-like down quark, while the mass of the Standard Model down quark and the upper bound on neutrino masses fix the quark-lepton unification scale. The theory predicts a distinctive baryon-number-violating decay mode of the neutron, $n \to K^+ \ell^-$ (with $\ell = e,μ$), which lies within the projected sensitivity of upcoming nucleon-decay experiments such as Hyper-Kamiokande and DUNE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Pati-Salam realization of the Nelson-Barr mechanism Murgui, Clara High Energy Physics - Phenomenology We present a UV completion of the Standard Model in which quarks and leptons are unified under color SU(4). A single fermionic representation, the real antisymmetric, provides the building blocks to address the strong CP problem via the Nelson-Barr mechanism, while simultaneously correcting the charged-lepton and down-quark mass relations predicted by Pati-Salam theories for the two heaviest generations. We show that the characteristic scales of the theory are strongly constrained by its phenomenology. The interplay between the quality of the Nelson-Barr mechanism and the non-observation of baryon-number-violating processes determines the scale of spontaneous CP violation and the mass of the new vector-like down quark, while the mass of the Standard Model down quark and the upper bound on neutrino masses fix the quark-lepton unification scale. The theory predicts a distinctive baryon-number-violating decay mode of the neutron, $n \to K^+ \ell^-$ (with $\ell = e,μ$), which lies within the projected sensitivity of upcoming nucleon-decay experiments such as Hyper-Kamiokande and DUNE. |
| title | A Pati-Salam realization of the Nelson-Barr mechanism |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.00166 |