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Phys. Rev. D 71, 011901(R) (2005) [5 pages]

Quaternion family symmetry of quarks and leptons

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Michele Frigerio1, Satoru Kaneko2, Ernest Ma1, and and Morimitsu Tanimoto3
1Physics Department, University of California, Riverside, California 92521, USA
2Physics Department, Ochanomizu University, Tokyo 112-8610, Japan
3Physics Department, Niigata University, Niigata 950-2181, Japan

Received 23 September 2004; published 6 January 2005

To a first approximation, the quark mixing matrix has θ13q=θ23q=0, whereas the lepton mixing matrix has θ23l=π/4. We show how this structure may be understood if the family symmetry is Q8, the quaternion group of eight elements. We find three viable scenarios for the Majorana neutrino mass matrix, each depending on four parameters and predicting a specific mass spectrum. The phenomenology of the two Higgs doublets which generate the Yukawa sector is analyzed and testable predictions are derived. We discuss also the closely related model based on D4, the symmetry group of the square.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.011901
DOI:
10.1103/PhysRevD.71.011901
PACS:
11.30.Hv, 11.30.Er, 12.60.Fr, 14.60.Pq
 
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