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

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