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Related Experiment Video

Updated: Mar 31, 2026

Setting Limits on Supersymmetry Using Simplified Models
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TOWARDS A THEORY OF QUARK AND LEPTON MASSES.

L J Hall1

  • 1Physics Department University of California and Theoretical Physics Group Lawrence Berkeley Laboratory Berkeley, California 94720.

Annals of the New York Academy of Sciences
|October 16, 2015
PubMed
Summary

This study proposes a supersymmetric SO(10) theory to explain 13 parameters of quark and lepton masses and mixing angles. The theory yields 8 testable predictions for future experiments.

Area of Science:

  • Particle Physics
  • Grand Unification Theories
  • Supersymmetry

Background:

  • The Standard Model has 13 free parameters describing quark and lepton masses and mixing angles.
  • Understanding the origin of these parameters is a major challenge in particle physics.

Purpose of the Study:

  • To explore schemes where grand unified and family symmetries relate the 13 parameters.
  • To develop a predictive framework for quark and lepton properties.

Main Methods:

  • Utilizing a supersymmetric SO(10) model.
  • Applying a sequence of simple assumptions to derive relations among parameters.

Main Results:

  • The model predicts 8 specific values: tan β, mt, Vcb, ms, ms/md, mu/md, Vub, and the amount of CP violation (J).

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  • These predictions offer concrete targets for experimental verification.

    • Conclusions:

    • The supersymmetric SO(10) framework provides a promising avenue for understanding fundamental particle parameters.
    • Experimental tests of the 8 predictions will validate or refine this theoretical model.