Finite modular groups and lepton mixing

2011/12/06 by Reinier de Adelhart Toorop, Ferruccio Feruglio, Claudia Hagedorn · 3 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computer science #Group (periodic table) #Lepton #MAJORANA #Mixing (physics) #Mixing patterns #Modular design #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Programming language #Quantum mechanics #Quark #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2012.01.017

27 pages + 8 pages of appendices, 1 figure

arxiv created 2011/12/06 · openalex publication_date 2012/01/25 · arxiv updated 2015/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study lepton mixing patterns which are derived from finite modular groups Gamma_N, requiring subgroups G_nu and G_e to be preserved in the neutrino and charged lepton sectors, respectively. We show that only six groups Gamma_N with N=3,4,5,7,8,16 are relevant. A comprehensive analysis is presented for G_e arbitrary and G_nu=Z2 x Z2, as demanded if neutrinos are Majorana particles. We discuss interesting patterns arising from both groups G_e and G_nu being arbitrary. Several of the most promising patterns are specific deviations from tri-bimaximal mixing, all predicting theta₁3 non-zero as favoured by the latest experimental data. We also comment on prospects to extend this idea to the quark sector.

Citations

• Determining Horizontal Symmetry from Neutrino Mixing
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• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Non-Abelian Discrete Symmetries in Particle Physics
• Icosahedral (A5) family symmetry and the golden ratio prediction for solar neutrino mixing
• Review of Particle Physics

Cited by

• Leptogenesis, 0νββ and lepton flavor violation in modular left-right asymmetric model with polyharmonic Maaβ forms
• Relating neutrino masses and mixings by discrete symmetries
• Five models for lepton mixing

Related

• Classification of lepton mixing patterns from finite flavour symmetries
• Phenomenology of Lepton Masses and Mixing with Discrete Flavor Symmetries
• Lepton Mixing Parameters from Discrete and CP Symmetries
• Neutrino Mass and Mixing with Modular Symmetry
• A novel mathematical construct for the family of leptonic mixing patterns