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