Two-over-two lattice flavor from a single flavon with three messenger chains
Abstract
Flavor hierarchies are organized by a single parameter B ≃ 5.357 in a single-flavon Froggatt-Nielsen (FN) framework, in which each effective Yukawa entry arises from the sum of unit-magnitude messenger chains. We present benchmark complex O ( 1 ) Yukawa matrices that reproduce quark and charged-lepton masses at M Z as powers of ε ≡ 1 / B . The organizing principle is a two-over-two ( 2 / 2 ) lattice of quadrilateral mass ratios, which maps directly to a rational lattice of FN exponents. Sequential dominance preserves the leading-power exponent matrices, while subleading messenger chains generate entry-dependent complex O ( 1 ) coefficients and provide a UV-friendly origin for C P violation. Neutrino masses are discussed at the level of eigenvalues within the same B n counting.
Fields of Study & Subjects
Synthesis and Properties of Aromatic Compounds
Photochromic and Fluorescence Chemistry
Biochemical Analysis and Sensing Techniques
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 5
- Publication date
- 19 February 2026
- Language
- EN