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One-flavon flavor: A single hierarchical parameter $B$ organizes quarks and leptons at $M_{Z}$

Department of Physics, University of Wisconsin–Madison, Madison, Wisconsin 53706, USA

Phys. Rev. D 113, 013002 – Published 20 January, 2026

DOI: https://doi.org/10.1103/fvqw-4wfn

Abstract

Flavor hierarchies emerge from a single hierarchical parameter $B$ in a one-flavon Froggatt–Nielsen scheme. Fixing $B = 5.357$ from charged-lepton ratios ( $m_{e} : m_{μ} : m_{τ} \propto ε^{5} : ε^{2} : 1$ , $ε = 1 / B$ ), we reproduce quark masses and Cabibbo-Kobayashi-Maskawa targets at $M_{Z}$ with $O (1)$ coefficients. The same $ε$ gives viable lepton textures and benchmarks for $U_{PMNS}$ , $\sum m_{ν}$ , and $m_{β β}$ . Compact correlations ( $| V_{u s} |, | V_{c b} |, | V_{u b} |, θ_{13}^{PMNS}$ ) follow from powers of $ε$ .

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References (6)

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Phys. Rev. D 113, 013002– Published 20 January, 2026

Vol. 113, Iss. 1 — 1 January 2026

Received 11 December 2024
Accepted 15 December 2025

DOI: https://doi.org/10.1103/fvqw-4wfn

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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One-flavon flavor: A single hierarchical parameter $B$ organizes quarks and leptons at $M_{Z}$

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One-flavon flavor: A single hierarchical parameter B organizes quarks and leptons at MZ

Abstract

Physics Subject Headings (PhySH)

Article Text

References (6)

One-flavon flavor: A single hierarchical parameter $B$ organizes quarks and leptons at $M_{Z}$