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An A_5 Model of Four Lepton Generations · Around

2010

An A_5 Model of Four Lepton Generations

Chen, Chian-Shu, Kephart, Thomas W., Yuan, Tzu-Chiang

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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.

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