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

TL;DR

This paper introduces a model where a single hierarchical parameter B explains the flavor hierarchies of quarks and leptons, successfully reproducing observed mass ratios and mixing angles at the Z boson mass scale.

Contribution

It presents a one-flavon Froggatt--Nielsen scheme with a fixed parameter B that unifies quark and lepton flavor structures, providing a minimal and predictive framework.

Findings

Reproduces quark masses and CKM matrix at M_Z with order-one coefficients.

Generates viable lepton textures and neutrino mass benchmarks.

Derives correlations among mixing angles from powers of epsilon.

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 ($m_e:m_\mu:m_\tau\!\propto\!\epsilon^5:\epsilon^2:1$, $\epsilon=1/B$), we reproduce quark masses and CKM targets at $M_Z$ with $\ordone$ coefficients. The same $\epsilon$ gives viable lepton textures and benchmarks for $U_{\rm PMNS}$, $\sum m_\nu$, and $m_{\beta\beta}$. Compact correlations ($|V_{us}|,|V_{cb}|,|V_{ub}|,\theta_{13}^{\rm PMNS}$) follow from powers of $\epsilon$.