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Anomaly constraints and new U(1) gauge bosons

S. M. Barr

B. Bednarz and C. Benesh

  • Brookhaven National Laboratory, Upton, New York 11973

  • Department of Physics, University of Washington, Seattle, Washington 98195

Phys. Rev. D 34, 235 – Published 1 July, 1986

DOI: https://doi.org/10.1103/PhysRevD.34.235

Abstract

Just as the hypercharge assignments in the standard model follow from anomaly freedom, so there are anomaly constraints on any possible extra U(1) charges. We show that one can always distinguish these from the constraints from grand unification. We discuss various predictions when the standard model is unified but the new U(1) is not, when all the groups are unified, and when none of them are. New low-energy U(1) groups imply new low-energy fermions. We show how information about new Z bosons can tell us about such fermions.

References (6)

  1. For a thorough review of neutral-current phenomenology, see J. E. Kim, P. Langacker, M. Levine and H. H. Williams, Rev. Mod. Phys. 53, 211 (1981); see, also, W. Marciano and A. Sirlin, Phys. Rev. D 29, 945 (1984). For discussions of extra Z bosons see, in addition to the above, N. Deshpande, in High Energy Physics—1980 (Madison, Wisconsin), proceedings of the XX International Conference, edited by L. Durand and L. G. Pondrom (AIP Conf. Proc. No. 68) (AIP, New York, 1981), p. 431; A. Davidson, Phys. Rev. D 20, 776 (1979); R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1644 (1980); P. Fayet, Phys. Lett. 96B, 83 (1980); E. H. deGroot, G. J. Gounaris and D. Schildknecht, ibid. 90B, 427 (1980); V. Barger, E. Ma and K. Whisnant, Phys. Rev. D 26, 2378 (1982); R. W. Robinett and J. L. Rosner, ibid. 26, 2396 (1982); ibid. 25, 3036 (1982). For a recent study, see P. Langacker, R. W. Robinett and J. L. Rosner, ibid. 30, 1470 (1984), and references therein.
  2. S. M. Barr and A. Zee, Phys. Lett. 92B, 297 (1980); ibid. 110B, 501(E) (1982); S. M. Barr, ibid. 128B, 400 (1983).
  3. See most of the papers in Ref. 1, especially Deshpande.
  4. V. Barger, N. G. Deshpande and K. Whisnant, Phys. Rev. Lett. 56, 30 (1986); S. M. Barr, ibid. 55, 2778 (1985); L. S. Durkin and P. Langacker, University of Pennsylvania Report UPR-0287-T, 1985 (unpublished).
  5. See Kim, Langacker, Levine, and Williams (Ref. 1).
  6. B. Holdom, Phys. Lett. 166B, 196 (1986).

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