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Consequences of an Abelian Family Symmetry
High Energy Physics - Phenomenology · Submitted 13 Jun 1995
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The addition of an Abelian family symmetry to the Minimal Supersymmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous.
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The abstract, sentence by sentence
The addition of an Abelian family symmetry to the Minimal Supersymmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous. Green-Schwarz compensation of its anomalies requires the electroweak mixing angle to be $\sin^2\theta_w=3/8$ at the string scale, without any assumed GUT structure, suggesting a superstring origin for the standard model. The analysis is extended to neutrino masses and the lepton mixing matrix.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The addition of an Abelian family symmetry to the Minimal Supersymmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous. | result 0.99 | 0.73 | 0.68 | asserted 1.00 |
| s1 | Green-Schwarz compensation of its anomalies requires the electroweak mixing angle to be $\sin^2\theta_w=3/8$ at the string scale, without any assumed GUT structure, suggesting a superstring origin for the standard model. | result 0.68 | 0.76 | 0.42 | hedged possibility 0.72 |
| s2 | The analysis is extended to neutrino masses and the lepton mixing matrix. | contribution 0.98 | 0.85 | 0.04 | asserted 0.79 |
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The paper
Original abstract
The addition of an Abelian family symmetry to the Minimal Supersymmetric Standard Model reproduces the observed hierarchies of quark and lepton masses and quark mixing angles, only if it is anomalous. Green-Schwarz compensation of its anomalies requires the electroweak mixing angle to be $\sin^2\theta_w=3/8$ at the string scale, without any assumed GUT structure, suggesting a superstring origin for the standard model. The analysis is extended to neutrino masses and the lepton mixing matrix.
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