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Title: Quaternion family symmetry of quarks and leptons

Abstract

To a first approximation, the quark mixing matrix has {theta}{sub 13}{sup q}={theta}{sub 23}{sup q}=0, whereas the lepton mixing matrix has {theta}{sub 23}{sup l}={pi}/4. We show how this structure may be understood if the family symmetry is Q{sub 8}, 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 D{sub 4}, the symmetry group of the square.

Authors:
;  [1];  [2];  [3]
  1. Physics Department, University of California, Riverside, California 92521 (United States)
  2. Physics Department, Ochanomizu University, Tokyo 112-8610 (Japan)
  3. Physics Department, Niigata University, Niigata 950-2181 (Japan)
Publication Date:
OSTI Identifier:
20705684
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.71.011901; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HIGGS BOSONS; HIGGS MODEL; MASS SPECTRA; MIXING; NEUTRINOS; QUARKS; REST MASS; SYMMETRY; SYMMETRY GROUPS

Citation Formats

Frigerio, Michele, Ma, Ernest, Kaneko, Satoru, and Tanimoto, Morimitsu. Quaternion family symmetry of quarks and leptons. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.011901.
Frigerio, Michele, Ma, Ernest, Kaneko, Satoru, & Tanimoto, Morimitsu. Quaternion family symmetry of quarks and leptons. United States. https://doi.org/10.1103/PhysRevD.71.011901
Frigerio, Michele, Ma, Ernest, Kaneko, Satoru, and Tanimoto, Morimitsu. Sat . "Quaternion family symmetry of quarks and leptons". United States. https://doi.org/10.1103/PhysRevD.71.011901.
@article{osti_20705684,
title = {Quaternion family symmetry of quarks and leptons},
author = {Frigerio, Michele and Ma, Ernest and Kaneko, Satoru and Tanimoto, Morimitsu},
abstractNote = {To a first approximation, the quark mixing matrix has {theta}{sub 13}{sup q}={theta}{sub 23}{sup q}=0, whereas the lepton mixing matrix has {theta}{sub 23}{sup l}={pi}/4. We show how this structure may be understood if the family symmetry is Q{sub 8}, 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 D{sub 4}, the symmetry group of the square.},
doi = {10.1103/PhysRevD.71.011901},
url = {https://www.osti.gov/biblio/20705684}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 71,
place = {United States},
year = {2005},
month = {1}
}