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An A 5 model of four lepton generations

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Abstract

We study the lepton sector of a four generations model based on the discrete flavor group A 5. 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 \( {m_{{v_1}}} = {m_{{v_3}}} \) and \( {m_{{v_2}}} = 0 \) 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. The electron mass is zero at tree level, but calculable through quantum corrections in our A 5 model.

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Authors and Affiliations

  1. Physics Division, National Center for Theoretical Sciences, No. 101, Sec. 2, Kuang Fu Road, Hsinchu, Taiwan, 30043, Taiwan, R.O.C.

    Chian-Shu Chen

  2. Institute of Physics, Academia Sinica, 128 Sec. 2, Academia Rd., Nankang, Taipei, 11529, Taiwan

    Chian-Shu Chen & Tzu-Chiang Yuan

  3. Department of Physics and astronomy, Vanderbilt University, 2201 West End Avenue, Nashville, TN, 37235, U.S.A.

    Thomas W. Kephart

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  1. Chian-Shu Chen
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Chen, CS., Kephart, T.W. & Yuan, TC. An A 5 model of four lepton generations. J. High Energ. Phys. 2011, 15 (2011). https://doi.org/10.1007/JHEP04(2011)015

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