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Title: Generalized gauge U(1) family symmetry for quarks and leptons

Abstract

If the standard model of quarks and leptons is extended to include three singlet right-handed neutrinos, then the resulting fermion structure admits an infinite number of anomaly-free solutions with just one simple constraint. Well-known examples satisfying this constraint are B–L, L μ–Lτ, B–3Lτ, etc. Here, we derive this simple constraint, and discuss two new examples which offer some insights to the structure of mixing among quark and lepton families, together with their possible verification at the Large Hadron Collider.

Authors:
ORCiD logo [1];  [1];  [1]; ORCiD logo [1]
  1. Univ. of California, Riverside, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Riverside, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1343158
Alternate Identifier(s):
OSTI ID: 1366703
Grant/Contract Number:
SC0008541
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 766; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kownacki, Corey, Ma, Ernest, Pollard, Nicholas, and Zakeri, Mohammadreza. Generalized gauge U(1) family symmetry for quarks and leptons. United States: N. p., 2017. Web. doi:10.1016/j.physletb.2017.01.013.
Kownacki, Corey, Ma, Ernest, Pollard, Nicholas, & Zakeri, Mohammadreza. Generalized gauge U(1) family symmetry for quarks and leptons. United States. doi:10.1016/j.physletb.2017.01.013.
Kownacki, Corey, Ma, Ernest, Pollard, Nicholas, and Zakeri, Mohammadreza. Wed . "Generalized gauge U(1) family symmetry for quarks and leptons". United States. doi:10.1016/j.physletb.2017.01.013.
@article{osti_1343158,
title = {Generalized gauge U(1) family symmetry for quarks and leptons},
author = {Kownacki, Corey and Ma, Ernest and Pollard, Nicholas and Zakeri, Mohammadreza},
abstractNote = {If the standard model of quarks and leptons is extended to include three singlet right-handed neutrinos, then the resulting fermion structure admits an infinite number of anomaly-free solutions with just one simple constraint. Well-known examples satisfying this constraint are B–L, Lμ–Lτ, B–3Lτ, etc. Here, we derive this simple constraint, and discuss two new examples which offer some insights to the structure of mixing among quark and lepton families, together with their possible verification at the Large Hadron Collider.},
doi = {10.1016/j.physletb.2017.01.013},
journal = {Physics Letters. Section B},
number = C,
volume = 766,
place = {United States},
year = {Wed Jan 11 00:00:00 EST 2017},
month = {Wed Jan 11 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2017.01.013

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • If the standard model of quarks and leptons is extended to include three singlet right-handed neutrinos, then the resulting fermion structure admits an infinite number of anomaly-free solutions with just one simple constraint. Well-known examples satisfying this constraint are B–L, L μ–Lτ, B–3Lτ, etc. Here, we derive this simple constraint, and discuss two new examples which offer some insights to the structure of mixing among quark and lepton families, together with their possible verification at the Large Hadron Collider.
  • Cited by 1
  • 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 ofmore » the square.« less
  • We propose a Randall-Sundrum model with a bulk family symmetry based on the double tetrahedral group, T', which generates the tri-bimaximal neutrino mixing pattern and a realistic CKM matrix. The T' symmetry forbids tree-level flavor-changing-neutral-currents in both the quark and lepton sectors, as different generations of fermions are unified into multiplets of T'. This results in a low first KK mass scale and thus the model can be tested at collider experiments.
  • We propose a Randall-Sundrum model with a bulk family symmetry based on the double tetrahedral group, T{sup '}, which generates the tribimaximal neutrino mixing pattern and a realistic CKM matrix, including CP violation. Unlike 4D models where the generation of mass hierarchy requires additional symmetry, the warped geometry naturally gives rise to the fermion mass hierarchy through wave function localization. The T{sup '} symmetry forbids tree-level flavor-changing-neutral-currents in both the quark and lepton sectors, as different generations of fermions are unified into multiplets of T{sup '}. This results in a low first KK mass scale and thus the model canmore » be tested at collider experiments.« less