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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2603.11341 |
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| _version_ | 1866914428845293568 |
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| author | Barger, Vernon |
| author_facet | Barger, Vernon |
| contents | We present Unified Flavor (UF), a framework that synthesizes the $B$-lattice flavor hierarchy with a dynamical realization based on TeV-scale vectorlike fermion (VLF) chains. Hierarchical Yukawa couplings arise from discrete ninths-quantized lattice exponents enforced by a single flavon $Φ$ with $ε\equiv\langleΦ\rangle/Λ=1/B$, $B=75/14$. Effective Yukawa entries are generated as algebraic path sums along nearest-neighbor chains of vectorlike quarks (VLQs), factorizing into entry, chain-propagation, and exit amplitudes controlled by the discrete gauge charges. A multi-messenger structure -- in which each Yukawa entry receives coherent contributions from several chain configurations -- generates O(1) complex coefficients whose phases are the physical origin of CP violation. We derive a general chain-inversion theorem, perform systematic perturbative diagonalization of both up- and down-type Yukawa textures, and show that the Cabibbo--Kobayashi--Maskawa (CKM) mixing hierarchy and CP-phase structure emerge naturally from the lattice exponent algebra and multi-messenger interference. All six quark masses are reproduced with O(1) coefficients that are essentially unity. The chain locality simultaneously suppresses dangerous flavor-changing neutral currents (FCNCs) and satisfies electroweak precision constraints, while requiring VLQs with masses in the multi-TeV range accessible at the High-Luminosity Large Hadron Collider (HL-LHC). The same discrete gauge symmetry that enforces the lattice structure also protects the Peccei--Quinn axion quality, unifying flavor, CP violation, and the strong CP problem. The framework extends to the lepton sector, reproducing charged-lepton mass hierarchies, the normal-ordered neutrino spectrum, and PMNS mixing with a predictive two-branch octant--$δ$ correlation testable at DUNE and Hyper-Kamiokande. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11341 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unified Flavor: Lattice Quantization, Chain Locality, and a Dynamical Origin of Hierarchical Yukawas Barger, Vernon High Energy Physics - Phenomenology High Energy Physics - Experiment We present Unified Flavor (UF), a framework that synthesizes the $B$-lattice flavor hierarchy with a dynamical realization based on TeV-scale vectorlike fermion (VLF) chains. Hierarchical Yukawa couplings arise from discrete ninths-quantized lattice exponents enforced by a single flavon $Φ$ with $ε\equiv\langleΦ\rangle/Λ=1/B$, $B=75/14$. Effective Yukawa entries are generated as algebraic path sums along nearest-neighbor chains of vectorlike quarks (VLQs), factorizing into entry, chain-propagation, and exit amplitudes controlled by the discrete gauge charges. A multi-messenger structure -- in which each Yukawa entry receives coherent contributions from several chain configurations -- generates O(1) complex coefficients whose phases are the physical origin of CP violation. We derive a general chain-inversion theorem, perform systematic perturbative diagonalization of both up- and down-type Yukawa textures, and show that the Cabibbo--Kobayashi--Maskawa (CKM) mixing hierarchy and CP-phase structure emerge naturally from the lattice exponent algebra and multi-messenger interference. All six quark masses are reproduced with O(1) coefficients that are essentially unity. The chain locality simultaneously suppresses dangerous flavor-changing neutral currents (FCNCs) and satisfies electroweak precision constraints, while requiring VLQs with masses in the multi-TeV range accessible at the High-Luminosity Large Hadron Collider (HL-LHC). The same discrete gauge symmetry that enforces the lattice structure also protects the Peccei--Quinn axion quality, unifying flavor, CP violation, and the strong CP problem. The framework extends to the lepton sector, reproducing charged-lepton mass hierarchies, the normal-ordered neutrino spectrum, and PMNS mixing with a predictive two-branch octant--$δ$ correlation testable at DUNE and Hyper-Kamiokande. |
| title | Unified Flavor: Lattice Quantization, Chain Locality, and a Dynamical Origin of Hierarchical Yukawas |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2603.11341 |