Effective flavor interaction for the charged-lepton mass hierarchy and the Koide relation
Abstract
This article proposes a dynamical framework to address the charged-lepton mass hierarchy and derive the empirical Koide formula. We postulate a U(3)F flavor symmetry at the high-energy scale, where a heavy dynamical flavon field couples to the electroweak Higgs sector via an effective operator. As the universe cools, spontaneous symmetry breaking of the flavor group occurs following the pattern U(3)F → U(1)3F. Subsequently, the electroweak symmetry breaking at the Fermi scale generates the charged-lepton mass matrix. The phenomenological values of these masses are determined in the infrared regime, where the effective potential governing the flavon VEV undergoes a dynamical vacuum alignment.The stable minimum of this potential enforces an algebraic equipartition between the flavor-singlet and flavor-octet invariants (I(0) = I(8)). This geometric equilibrium yields the Koide mass ratio (Q=2/3), successfully identifying the dynamically generated eigenvalues with the physical pole masses of the electron, muon, and tau.
Related
- Charged Lepton Flavor Violation: A Theory Overview
- Searching for Charged Lepton Flavor Violation
- Fermion mass hierarchy and flavor signals from a D4 dihedral symmetry within a 2HDM-Tx with four-zero textures
- Top-quark flavor-changing neutral currents and charged-lepton flavor violation in a generational three-Higgs-doublet model
- Matrix Density Waves and Fractionally Charged Point Defects in Flavor Weyl Semimetals
BibTeX
@misc{rousselle2026effective,
title = {{Effective flavor interaction for the charged-lepton mass hierarchy and the Koide relation}},
author = {Olivier Rousselle},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.19277},
eprint = {2608.19277},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.19277},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Effective flavor interaction for the charged-lepton mass hierarchy and the Koide relation
AU - Olivier Rousselle
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2608.19277
UR - https://arxiv.org/abs/2608.19277
AB - This article proposes a dynamical framework to address the charged-lepton mass hierarchy and derive the empirical Koide formula. We postulate a U(3)_F flavor symmetry at the high-energy scale, where a heavy dynamical flavon field couples to the electroweak Higgs sector via an effective operator. As the universe cools, spontaneous symmetry breaking of the flavor group occurs following the pattern U(3)_F → U(1)^3_F. Subsequently, the electroweak symmetry breaking at the Fermi scale generates the charged-lepton mass matrix. The phenomenological values of these masses are determined in the infrared regime, where the effective potential governing the flavon VEV undergoes a dynamical vacuum alignment.The stable minimum of this potential enforces an algebraic equipartition between the flavor-singlet and flavor-octet invariants (I_(0) = I_(8)). This geometric equilibrium yields the Koide mass ratio (Q=2/3), successfully identifying the dynamically generated eigenvalues with the physical pole masses of the electron, muon, and tau.
ER -