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

Authors:
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1282430
Grant/Contract Number:
SC0008541
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 3; Related Information: CHORUS Timestamp: 2016-08-04 18:11:30; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Ma, Ernest. Progressive gauge U(1) family symmetry for quarks and leptons. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.031701.
Ma, Ernest. Progressive gauge U(1) family symmetry for quarks and leptons. United States. doi:10.1103/PhysRevD.94.031701.
Ma, Ernest. 2016. "Progressive gauge U(1) family symmetry for quarks and leptons". United States. doi:10.1103/PhysRevD.94.031701.
@article{osti_1282430,
title = {Progressive gauge U(1) family symmetry for quarks and leptons},
author = {Ma, Ernest},
abstractNote = {},
doi = {10.1103/PhysRevD.94.031701},
journal = {Physical Review D},
number = 3,
volume = 94,
place = {United States},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.94.031701

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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.
  • 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.
  • 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