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From the 1 of 8 linked papers with an AI index.

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8 papers

hep-ph2026

Commensurate Structure of Quark and Lepton Mixing: Eighteenth Powers of One Parameter and a Digital-Clock Quantization of the Unitarity Triangles

Vernon Barger

We identify two commensurate structures in the measured quark and lepton mixing data, one multiplicative and one angular, and their exact relation. With the hierarchy parameter $\v…

hep-ph2026

The model: trimaximal first-column lepton mixing with charged-lepton -- breaking

Vernon Barger

The first column of the lepton mixing matrix carries two independent magnitude conditions: the trimaximal norm and the -- balance . W…

hep-ph2026

The KM3NeT 220 PeV event: a neutrino messenger from the grand unification scale?

Vernon Barger

The paper proposes that the 220 PeV neutrino detected by KM3NeT could originate from the two‑body decay of a very heavy relic particle (mass ≈ 4.4×10⁸ GeV), linking the event to ph…

hep-ph2026

Lepton Mixing from a Lattice Flavon Model: A Two-Branch Octant-delta Prediction

Vernon Barger

We extend the single-flavon -lattice Froggatt--Nielsen (FN) framework, previously successful for quark masses and Cabibbo-Kobayashi-Maskawa (CKM) mixing, to the lepton sector. T…

hep-ph2026

Flavor in Ninths and a Discrete Gauge Origin of the QCD Axion

Vernon Barger

Quark and lepton hierarchies are organized by rational powers of a single parameter (the quark masses and mixings in ninths, the charged-lepton mass ratios in sixths). We argue tha…

hep-ph2026

Generation as Compositeness: A Subconstituent Interpretation of the -Lattice Flavor Hierarchy

Vernon Barger

We interpret the -lattice flavor framework as a compositeness hierarchy: all three fermion generations are elementary chiral fields, but third-generation Yukawa couplings are un…