A New Family Symmetry: Discrete Quaternion Group

2005/05/16 by Michele Frigerio, Frigerio, Michele
Engineering · Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Elasticity and Wave Propagation #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quasicrystal Structures and Properties #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0505144

6 pages, moriond.sty, 3 eps figures. Talk presented at the XL Rencontres de Moriond on Electroweak Interactions and Unified Theories, La Thuile, Italy, March 5-12, 2005

arxiv created 2005/05/16 · openalex publication_date 2005/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the structure of the quaternion group Q₈ and its possible application to the physics of flavor. We find that a Q₈ 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 Q₈ symmetry suppresses the effective operators which mediate proton decay.

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