An A_5 Model of Four Lepton Generations

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1007/JHEP04(2011)015

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.

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