Lepton flavor from a horizontal symmetry in a slice of AdS$_5$
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| Format: | Preprint |
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2025
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| author | Da Rold, Leandro Gigena, Franco A. Guerrero, Jaime S. Guzmán |
| author_facet | Da Rold, Leandro Gigena, Franco A. Guerrero, Jaime S. Guzmán |
| contents | We build a model of lepton flavor in a slice of AdS$_5$. We add to the 5D SM fields a set of neutrino fields, as well as a horizontal U(1) symmetry and a flavon field, all propagating in the bulk. The electroweak and U(1) symmetries are spontaneously broken by a potential localized on the infrared boundary. We show that in a flavor anarchic scenario, by suitable choice of the 5D masses and the U(1) charges, the masses of the SM leptons and the PMNS matrix can be naturally generated. The neutrino masses are Dirac like, with a normal ordered hierarchical spectrum, $Δm_{32}^2\approx m_3^2$, $Δm_{21}^2\approx m_2^2\gg m_1^2$, and a suppressed $θ_{13}$ mixing angle. We find configurations where the charged lepton mixing angles are suppressed by powers of the Cabibbo angle ($λ_C$) relative to vanilla anarchic partial compositeness, consequently reducing CP and lepton flavor violation. Specifically, the Wilson coefficient for the electron electromagnetic dipole moment exhibits $λ_C^2$ suppression, while those governing $μ\to eγ$ and $μ-e$ vector operators are suppressed by $λ_C^{3/2}$ compared to the anarchic scenario without U(1) horizontal symmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_06356 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lepton flavor from a horizontal symmetry in a slice of AdS$_5$ Da Rold, Leandro Gigena, Franco A. Guerrero, Jaime S. Guzmán High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory We build a model of lepton flavor in a slice of AdS$_5$. We add to the 5D SM fields a set of neutrino fields, as well as a horizontal U(1) symmetry and a flavon field, all propagating in the bulk. The electroweak and U(1) symmetries are spontaneously broken by a potential localized on the infrared boundary. We show that in a flavor anarchic scenario, by suitable choice of the 5D masses and the U(1) charges, the masses of the SM leptons and the PMNS matrix can be naturally generated. The neutrino masses are Dirac like, with a normal ordered hierarchical spectrum, $Δm_{32}^2\approx m_3^2$, $Δm_{21}^2\approx m_2^2\gg m_1^2$, and a suppressed $θ_{13}$ mixing angle. We find configurations where the charged lepton mixing angles are suppressed by powers of the Cabibbo angle ($λ_C$) relative to vanilla anarchic partial compositeness, consequently reducing CP and lepton flavor violation. Specifically, the Wilson coefficient for the electron electromagnetic dipole moment exhibits $λ_C^2$ suppression, while those governing $μ\to eγ$ and $μ-e$ vector operators are suppressed by $λ_C^{3/2}$ compared to the anarchic scenario without U(1) horizontal symmetry. |
| title | Lepton flavor from a horizontal symmetry in a slice of AdS$_5$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.06356 |