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“Expected” Mixing Angles or Is there Evidence for Horizontal Symmetries?

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Gauge Theories, Massive Neutrinos and Proton Decay

Part of the book series: Studies in the Natural Sciences ((SNS,volume 18))

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Abstract

We consider the heresy that generation labels may not be quantum numbers. Statistical techniques are used to develop criteria for unusual generation mixings and mass ratios which would signal the existence of quantum numbers of a horizontal symmetry.

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Footnotes and References

  1. An example based on SO (10) ⊗ SO (10) was presented at this conference by K. C. Wali,

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  2. J. Ellis, M. K. Gaillard and B.. Zumino, “A Grand Unified Theory Obtained from Broken Supergravity”, CERN preprint, Ref. TH. 2842, LAPP-TH-16.

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  3. R. Slansky, private communication.

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  4. M. Kobayashi and K. Maskawa, Progr. Theor. Phys. 49, 652 (1973).

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  7. A. Salam in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symiposium No. 8), ed. by N. Svartholm (Wiley, New York, 1969).

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  8. M. Gell-Mann, P. Ramond, and R. Slanksy, in Supergravity, ed. by P. van Nieuwenhiuzen and D. Freedman (North-Holland, Amsterdam, 1979).

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  9. These results were reported previously; T. Goldman, and G. J. Stephenson, Jr., “How Large Are the Neutrino Mixing Angles?”, Los Alamos preprint LA-UR-3454 (Dec. 1980). Similar conclusions within SO (10) have been reported at this conference by K. Tanaka. See also, K. Milton and K. Tanaka, “Neutrino Mixing in a Grand Unified Theory”, Ohio State preprint DOE/ER01545–289.

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Authors and Affiliations

  1. Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    T. Goldman

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  1. T. Goldman
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Editor information

Editors and Affiliations

  1. Center for Theoretical Studies, University of Miami, Coral Gables, Florida, USA

    Arnold Perlmutter

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© 1981 Springer Science+Business Media New York

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Goldman, T. (1981). “Expected” Mixing Angles or Is there Evidence for Horizontal Symmetries?. In: Perlmutter, A. (eds) Gauge Theories, Massive Neutrinos and Proton Decay. Studies in the Natural Sciences, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1107-2_7

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  • DOI: https://doi.org/10.1007/978-1-4684-1107-2_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-1109-6

  • Online ISBN: 978-1-4684-1107-2

  • eBook Packages: Springer Book Archive

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