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Fermion masses and proton decay in string-inspired SU(4)*SU(2)^2*U(1)_X
High Energy Physics - Phenomenology · Submitted 13 Jul 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We obtain a hierarchical light neutrino mass spectrum with bi-large mixing.
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The abstract, sentence by sentence
We present a supersymmetric model of fermion masses with SU(4)*SU(2)^2*U(1)_X gauge group with matter in fundamental and antisymmetric tensor representations only. The up, down, charged lepton and neutrino Yukawa matrices are distinguished by different Clebsch-Gordan coefficients due to contracting over SU(4) and SU(2)_R indices. We obtain a hierarchical light neutrino mass spectrum with bi-large mixing. The condition that anomalies be cancelled by a Green-Schwarz mechanism leads to fractional U(1)_X charges which exclude $B$ violation through dimension-4 and -5 operators.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a supersymmetric model of fermion masses with SU(4)*SU(2)^2*U(1)_X gauge group with matter in fundamental and antisymmetric tensor representations only. | contribution 0.94 | 0.90 | 0.09 | asserted 1.00 |
| s1 | The up, down, charged lepton and neutrino Yukawa matrices are distinguished by different Clebsch-Gordan coefficients due to contracting over SU(4) and SU(2)_R indices. | method 0.86 | 0.67 | 0.07 | asserted 1.00 |
| s2 | We obtain a hierarchical light neutrino mass spectrum with bi-large mixing. | result 1.00 | 0.93 | 0.31 | asserted 1.00 |
| s3 | The condition that anomalies be cancelled by a Green-Schwarz mechanism leads to fractional U(1)_X charges which exclude $B$ violation through dimension-4 and -5 operators. | result 0.91 | 0.78 | 0.27 | asserted 1.00 |
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The paper
Original abstract
We present a supersymmetric model of fermion masses with SU(4)*SU(2)^2*U(1)_X gauge group with matter in fundamental and antisymmetric tensor representations only. The up, down, charged lepton and neutrino Yukawa matrices are distinguished by different Clebsch-Gordan coefficients due to contracting over SU(4) and SU(2)_R indices. We obtain a hierarchical light neutrino mass spectrum with bi-large mixing. The condition that anomalies be cancelled by a Green-Schwarz mechanism leads to fractional U(1)_X charges which exclude $B$ violation through dimension-4 and -5 operators.
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2 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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We should remark that our choice of charges and values for $ϵ$ is not aimed at a full explanation of the hierarchy of the Yukawa coupling matrices that may require, in addition to the family symmetries, a complex Higgs potential that splits quarks and leptons from the L and R multiplets in $4-2-2$ [ref] .
Muon g-2 and lepton flavor violation in supersymmetric GUTs · LFV decays in SUSY 4-2-2. · 0.86
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