Natural suppression of symmetry violation in gauge theories: Muon- and electron-lepton-number nonconservation

@article{Lee1977NaturalSO,
  title={Natural suppression of symmetry violation in gauge theories: Muon- and electron-lepton-number nonconservation},
  author={Benjamin W. Lee and Robert Shrock},
  journal={Physical Review D},
  year={1977},
  volume={16},
  pages={1444-1473}
}
We analyze the circumstances under which the violations of an approximate symmetry in a unified gauge theory of weak interactions are naturally suppressed; in particular, we investigate approximate muon- and electron-type lepton-number conservation as an example of such a symmetry. Extending earlier work, we propose a unified treatment of this symmetry together with strangeness conservation by the weak neutral current and $\mathrm{CP}$ invariance. The rate for the decay $\ensuremath{\mu… 

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References

SHOWING 1-10 OF 51 REFERENCES

For a review of experiments pertaining to p, — and etype lepton-number conservation see S. Frankel

  • II: Weak Interactions (Academic
  • 1957

For a review of these calculations and further references The number is obtained from a combination of the results of the Columbia and Princeton experiments

  • See the discussion in Particle Data Group
  • 1966

Phys. Rev. Pontecorvo, Zh. Eksp. Teor. Fiz.Sov. Phys. — JETP

  • Phys. Rev. Pontecorvo, Zh. Eksp. Teor. Fiz.Sov. Phys. — JETP
  • 1957

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 1976

A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity

  • Svartholm (Almqvist and Wiksell, NATURAL SUPPRESSION OF SYMMETRY VIOLATION IN. . ~ 1471
  • 1967

Phys. Rev. D

  • Phys. Rev. D
  • 1970

Nucl. Phys

  • Nucl. Phys
  • 1976

Lane are also analyzing this modelFor other calculations of p, — and e-number-violating processes

  • Phys. Rev. D
  • 1977

Phys. Rev. D

  • Phys. Rev. D
  • 1977
...