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Title: Families from supergroups and predictions for leptonic CP violation

Abstract

As was shown in 1984 by Caneschi, Farrar, and Schwimmer, decomposing representations of the supergroup SU( M| N), can give interesting anomaly-free sets of fermion representations of SU( M) × SU( N) × U(1). It is shown here that such groups can be used to construct realistic grand unified models with non-abelian gauged family symmetries. A particularly simple three-family example based on SU(5) × SU(2) × U(1) is studied. The forms of the mass matrices, including that of the right-handed neutrinos, are determined in terms of SU(2) Clebsch coefficients; and the model is able to fit the lepton sector and predict the Dirac CP-violating phase of the neutrinos. Models of this type would have a rich phenomenology if part of the family symmetry is broken near the electroweak scale.

Authors:
 [1];  [1]
  1. Univ. of Delaware, Newark, DE (United States)
Publication Date:
Research Org.:
Univ. of Delaware, Newark, DE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1512470
Grant/Contract Number:  
SC0013880
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; GUT

Citation Formats

Barr, S. M., and Chen, Heng-Yu. Families from supergroups and predictions for leptonic CP violation. United States: N. p., 2017. Web. doi:10.1007/jhep10(2017)128.
Barr, S. M., & Chen, Heng-Yu. Families from supergroups and predictions for leptonic CP violation. United States. doi:10.1007/jhep10(2017)128.
Barr, S. M., and Chen, Heng-Yu. Thu . "Families from supergroups and predictions for leptonic CP violation". United States. doi:10.1007/jhep10(2017)128. https://www.osti.gov/servlets/purl/1512470.
@article{osti_1512470,
title = {Families from supergroups and predictions for leptonic CP violation},
author = {Barr, S. M. and Chen, Heng-Yu},
abstractNote = {As was shown in 1984 by Caneschi, Farrar, and Schwimmer, decomposing representations of the supergroup SU(M|N), can give interesting anomaly-free sets of fermion representations of SU(M) × SU(N) × U(1). It is shown here that such groups can be used to construct realistic grand unified models with non-abelian gauged family symmetries. A particularly simple three-family example based on SU(5) × SU(2) × U(1) is studied. The forms of the mass matrices, including that of the right-handed neutrinos, are determined in terms of SU(2) Clebsch coefficients; and the model is able to fit the lepton sector and predict the Dirac CP-violating phase of the neutrinos. Models of this type would have a rich phenomenology if part of the family symmetry is broken near the electroweak scale.},
doi = {10.1007/jhep10(2017)128},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
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