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Il Nuovo Cimento A (1965-1970)

, Volume 86, Issue 4, pp 309–323 | Cite as

Gauge theory for families of leptons

  • K. Watanabe
Article
  • 14 Downloads

Summary

A formulation by gauge theory is given for families of leptons which have been introduced to explain the phenomena in the cosmic-ray air showers above 1015eV. The families, called categories, consist of three sets of leptons (e, μ, τ), (ζε,ζμ,ζτ) and (σε,σμ,σ,τ), where ξ and σ denote heavy leptons having the particle numbers specified by the subscript. By taking the gauge group as [SU2] n ×U1 for then-category model, the weak-interaction Lagrangian is derived. Notable modifications are obtained in the interactions of Z0.

PACS.12.90

Miscellaneous theoretical ideas and models 

Калибровочная теория для семейства лептонов

Резюме

Предлагается калибровочная теория длясемейства лептонов, которые введены для объяснения явлений в атмосферных ливнях космических лучей с энергией выше 1015 эВ. Семейства, называемые категориями, состоят из систем лептонов (e, м, т), (ζε,ζμ,ζτ) и (σε,σμ,σ,τ), где ξ и σ обозначают тяжелые лептоны. Определяя калибровочную группу как [SU2] n ×U1 для моделиn-категории, выводится Лагранжиан слабых взаимодействий. Получаются заметные изменения во взаимодействиях Z0.

Riassunto

Si dà una formulazione mediante la teoria di gauge per famiglie di leptoni che sono state introdotte per spiegare i fenomeni negli sciami cosmici al di sopra di 1015 eV. Le famiglie, dette categorie, consistono di tre insiemi di leptoni (e, μ, τ), (ζε,ζμ,ζτ) e (σε,σμ,σ,τ), dove ξ e σ denotano leptoni pesanti con il numero di particelle specificato dall'indice. Prendendo come gruppo di gauge [SU2] n ×U1 per il modello an categorie, si deriva la lagrangiana d'interazione debole. Si ottengono modifiche notevoli nelle interazioni di Z0.

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Footnotes

  1. (1).
    K. Watanabe andH. Sakuyama:Prog. Theor. Phys.,70, 1313 (1983).CrossRefADSGoogle Scholar
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  4. (4).
    K. Watanabe: Meisei University Report MEISEI 84-3 (1984);Lett. Nuovo Cimento,41, 151 (1984).Google Scholar
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    T. Kaneko: Meijo University report MJU-DP-410 (1984).Google Scholar
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    H. Sakuyama andK. Watanabe: Meisei University report, MEISEI 84-2 (1984);Lett. Nuovo Cimento,40, 89 (1984).Google Scholar

Copyright information

© Società Italiana di Fisica 1985

Authors and Affiliations

  • K. Watanabe
    • 1
  1. 1.Department of PhysicsMeisei UniversityHino TokyoJapan

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