Systematic analysis of finite family symmetry groups and their application to the lepton sector

2009/07/31 by Patrick Otto Ludl, Ludl, Patrick Otto · 2 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.0907.5587

openalex publication_date 2009/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we will investigate Lagrangians of the standard model extended by three right-handed neutrinos, and the consequences of invariance under finite groups G for lepton masses and mixing matrices are studied. The main part of this work is the systematic analysis of finite subgroups of SU(3). The analysis of these groups may act as a toolkit for future model building.

Citations

• Inward Bound: Of Matter and Forces in the Physical World
• Stability and symmetry breaking in the general two-Higgs-doublet model
• Partial-symmetries of weak interactions

Cited by

• Counting gauge-invariant states with matter fields and finite gauge groups
• Neutrino mass, mixing and discrete symmetries

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• Neutrino Masses and Family Symmetries
• Fermion Masses and Flavor Mixings from Family Symmetry SU(3)
• Models and Phenomenology of Neutrino Masses circa 2010
• Neutrinos in the Family Replicated Gauge Group Model
• Δ(27) family symmetry and neutrino mixing