Abstract
We study here three models, namely, the SU(2) \( \otimes \) U(1) model, the SUL(2) \( \otimes \) SUR(2) \( \otimes \) U(1) model and the SUL(2) \( \otimes \) SUL(2) \( \otimes \) U(1) model, which seem to be the most natural extensions of the Weinberg-Salam model in order to accomodate the recent atomic Bismuth experimental results. The differences between the model predictions in neutrino reactions are small except for the elastic υμe and υμe cross sections. We remark on the other specific experiments which could provide meaningful checks between these models. We also comment on the “naturalness” of each model.
Research work supported by the National Science Foundation
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References and Footnotes
S. Weinberg, Phys.Rev.Lett. 19, 1264 (1967). Abdus Salam, in Elementary Particle Physics, edited by N. Svartholm ( Almquist and Wikskells, Stockholm, 1968 ), p. 367.
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See the lectures given by J. Steinberger.
See the lectures given by V. Telegdi. One should bear in mind that in heavy atoms like Bismuth, the time component of the hadronic neutral currents are enhanced by the atomic numbers. What the present experiments have measured is thus the parity violation effect induced by the vector hadronic neutral currents and the axial-vector electron currents.
E.N. Henley and L. Wilets, Phys.Rev. A14, 1411 (1976); M. Brimicombe, C.E. Loving and P.G.H. Sandars, J. Phys. (London), B9, L237 (1976); I.B. Khriplovich, JETP Lett., Vol. 20, 315 (1974).
The latest results reported by P.G.H. Sanders at International Symposium on Lepton and Photon Interactions at High Energies, Hamburg (1977) are R648nm = (-0.7 ± 3.2) x 10-8 (U. of Washington Experiment) and R648nm ~ -23 x 10-8 (Oxford Experiment).
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8 quarks and 8 leptons were previously proposed in a different context (see T.C. Yang, Phys.Lett. 65B, 358 (1976)). We received a recent preprint by N.A.B. Bég, R.N. Mohapatra, A. Si lin and H.-S. Tsao who have discussed 8 quarks and 24 leptons in a SUL (4) \( \otimes \) SUR (4) \( \otimes \) U(1) model. Note that under SU(4) symmetry, 8 quarks would require 24 leptons in order to cancel anomalies.
The main point is that t, b, g, h quarks are heavier than \(\tau \) lepton. The \(\tau \) decay via “flavor” SU(2) interactions is just like the case of a sequential heavy lepton. The only place where the “fragrance” interaction contributes is in \(\tau \,\, \to \,\,e{\nu _e}{\nu _\tau }\). We thus find that \(\frac{{BR\left( {\tau \to {\nu _\tau }e{{\mathop \nu \limits^ - }_e}} \right)}}{{BR\left( {\tau \to {\nu _\tau }\mu \,\,\mathop {{{\mathop \nu \limits^ - }_\mu }}\limits^{} } \right)}}\,\, \ne \,\,1\)
P.Q. Hung and J.J. Sakurai, Phys.Lett. 63B, 295 (1976).
L.M. Sehgal, Nucl. Phys. B90, 471 (1975) and references therein.
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Yang, T.C. (1979). Parity Violation Effect in Atomic Physics and the Structure of Neutral Currents in Gauge Theories. In: Lévy, M., Basdevant, JL., Speiser, D., Weyers, J., Gastmans, R., Zinn-Justin, J. (eds) Hadron Structure and Lepton-Hadron Interactions. NATO Advanced Study Institutes Series, vol 39. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2883-4_17
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