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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2603.06934 |
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| _version_ | 1866911495306084352 |
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| author | Barger, Vernon |
| author_facet | Barger, Vernon |
| contents | We extend the single-flavon $B$-lattice Froggatt-Nielsen (FN) framework -- previously successful for quark masses and Cabibbo-Kobayashi-Maskawa (CKM) mixing -- to the lepton sector. The same $B$-lattice power structure ($ε\equiv 1/B\simeq 0.19$) generates charged-lepton mass hierarchies and a normal-ordered neutrino spectrum; large neutrino mixing angles require an additional approximate mu-tau symmetry, broken at $\mathcal{O}(ε)$ to generate a nonzero reactor angle and CP-violating phase.
The Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix factorizes as $U_{\rm PMNS}=U_e^\dagger U_ν$, with near-tribimaximal $U_ν$ corrected by small charged-lepton rotations whose phases are naturally aligned by the single-flavon origin of the Yukawa textures. This alignment produces a two-branch prediction in the $(θ_{23},δ)$ plane: a lower-octant solution with $θ_{23}\approx 43^\circ$, $δ\approx 286^\circ$, and an upper-octant solution with $θ_{23}\approx 46^\circ$, $δ\approx 304^\circ$. The lower octant is favored by a $\sim\!4{:}1$ theoretical prior. The Jarlskog invariant $J_{\rm CP}\simeq -0.027$ is nearly branch-independent; only precision measurements of the atmospheric octant and Dirac phase at DUNE, Hyper-Kamiokande, IceCube, and JUNO can distinguish the two solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06934 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lepton Mixing from a Lattice Flavon Model: A Two-Branch Octant-delta Prediction Barger, Vernon High Energy Physics - Phenomenology High Energy Physics - Experiment We extend the single-flavon $B$-lattice Froggatt-Nielsen (FN) framework -- previously successful for quark masses and Cabibbo-Kobayashi-Maskawa (CKM) mixing -- to the lepton sector. The same $B$-lattice power structure ($ε\equiv 1/B\simeq 0.19$) generates charged-lepton mass hierarchies and a normal-ordered neutrino spectrum; large neutrino mixing angles require an additional approximate mu-tau symmetry, broken at $\mathcal{O}(ε)$ to generate a nonzero reactor angle and CP-violating phase. The Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix factorizes as $U_{\rm PMNS}=U_e^\dagger U_ν$, with near-tribimaximal $U_ν$ corrected by small charged-lepton rotations whose phases are naturally aligned by the single-flavon origin of the Yukawa textures. This alignment produces a two-branch prediction in the $(θ_{23},δ)$ plane: a lower-octant solution with $θ_{23}\approx 43^\circ$, $δ\approx 286^\circ$, and an upper-octant solution with $θ_{23}\approx 46^\circ$, $δ\approx 304^\circ$. The lower octant is favored by a $\sim\!4{:}1$ theoretical prior. The Jarlskog invariant $J_{\rm CP}\simeq -0.027$ is nearly branch-independent; only precision measurements of the atmospheric octant and Dirac phase at DUNE, Hyper-Kamiokande, IceCube, and JUNO can distinguish the two solutions. |
| title | Lepton Mixing from a Lattice Flavon Model: A Two-Branch Octant-delta Prediction |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2603.06934 |