An A_5 Model of Four Lepton Generations

Abstract

We study the lepton sector of a four generations model based on the discrete flavor group $A_5$ (the even permutation of five objects). The best features of the three family $A_4$ model survive, including the tribimaximal pattern of three generation neutrino mixings. At leading order the three light neutrino mass relations of $m_{{\nu }_1}=m_{{\nu }_3}$ and $m_{{\nu }_2}=0$ are predicted. The splitting of the neutrino masses can be naturally obtained as a result of the breaking of $A_5$ down to $A_4$ and a degenerate spectrum is preferred in our model. In our $A_5$ model, the electron mass is zero at tree level, but calculable through quantum corrections.

20 pages, 3 figures, and 3 tables; references and Appendix C added, version accepted for publication in JHEP

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Cited by in corpus (12)

• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Lepton mixing from the interplay of the alternating group A5 and CP
• An SU(5) x A5 Golden Ratio Flavour Model
• Neutrino mixing with non-zero ${\theta }_{13}$ and CP violation in the 3-3-1 model based on $A_4$ flavor symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Golden ratio lepton mixing and nonzero reactor angle with $A_5$
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• Neutrino Masses and a Fourth Generation of Fermions
• Conformal Completion of the Standard Model with a Fourth Generation
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation