A New Family Symmetry: Discrete Quaternion Group

Details A New Family Symmetry: Discrete Quaternion Group A New Family Symmetry: Discrete Quaternion Group

2005-05-16

arxiv.org/abs/hep-ph/0505144v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, moriond.sty, 3 eps figures. Talk presented at the XL Rencontres de Moriond on Electroweak Interactions and Unified Th

Scientific paper

We examine the structure of the quaternion group $Q_8$ and its possible application to the physics of flavor. We find that a $Q_8$ family symmetry is suitable to explain the difference between quark and lepton mixing patterns. Distinctive phenomenological predictions are derived for the neutrino sector and the electroweak Higgs sector. We also show how the $Q_8$ symmetry suppresses the effective operators which mediate proton decay.

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