On the mixing and production of exotic fermions in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">E</mi></mrow><mrow><mn>6</mn></mrow></msub></mrow></math></span>

R. W. Robinett

doi:10.1103/PhysRevD.33.1908

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On the mixing and production of exotic fermions in $E_{6}$

R. W. Robinett

Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003

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Phys. Rev. D 33, 1908 – Published 1 April, 1986

DOI: https://doi.org/10.1103/PhysRevD.33.1908

Abstract

The mixings between exotic fermions in $E_{6}$ 27-plets (a Q=-(1/3) isosinglet quark h and charged and neutral leptons E and $ν_{E}$ ) and their familiar counterparts d, e, and $ν_{e}$ are discussed and constraints from electroweak neutral-current data on such mixings are examined. We find off-diagonal couplings dh¯ $Z^{0}$ , eĒ $Z^{0}$ , and $ν_{e}$ ν $¯_{E}$ $Z^{0}$ and propose new methods for single production of such new fermions in $e^{+}$ $e^{-}$ collisions and Z decay. Such couplings also lead (in general) to flavor-changing neutral currents and we examine constraints on the masses and mixings of the h quarks which can be derived from the $K^{0}$ -K $¯^{0}$ system and $K_{L}$ → $μ^{+}$ $μ^{-}$ .

References (18)

For a review, see J. H. Schwarz, Phys. Rep. 89 C, 223 (1982).
F. Gürsey, P. Ramond and P. Sikivie, Phys. Lett. 60 B, 177 (1976); Y. Achiman and B. Stech, ibid. 77 B, 389 (1978); Q. Shafi, ibid. 79 B, 301 (1979); F. Gürsey and M. Serdaroglu, Lett. Nuovo Cimento 21, 28 (1978); Nuovo Cimento 65 A, 337 (1981) R. Barbieri, D. V. Nanopoulos and A. Masiero, Phys. Lett. 104 B, 194 (1981).
See, e.g., E. Witten, in Sixth Workshop on Grand Unification, Minneapolis, 1985, edited by S. Rudaz and T. Walsh (World Scientific, Singapore, 1986).
P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258, 46 (1985); J. Breit, B. Ovrut and G. Segré, Phys. Lett. 158 B, 33 (1985); S. Cecotti, J. P. Derendinger, S. Ferrara and L. Girardello, ibid. 156 B, 318 (1985); M. Dine, V. Kaplunovsky, M. Mangano, C. Nappi and N. Seiberg, Nucl. Phys. B259, 549 (1985).
H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); S. Dawson, E. Eichten and C. Quigg, Phys. Rev. D 31, 1581 (1985).
For a presuperstring discussion of neutral currents in extended electroweak theories derived from E $_{6}$ , see R. W. Robinett, Phys. Rev. D 26, 2388 (1982).
J. L. Rosner, University of Chicago Report No. EFI 85-34 (unpublished).
For a more complete discussion of the particle content and quantum numbers of the E $_{6}$ 27, see Ref. 7.
For discussions of Δ I = 1/2 ,0 mass terms see P. Fishbane, S. Meshkov and P. Ramond, Phys. Lett. 134 B, 81 (1984); P. Fishbane, S. Meshkov, R. E. Norton and P. Ramond, Phys. Rev. D 31, 1119 (1985); F. del Aguila and M. J. Bowick, Phys. Lett. 119 B, 144 (1982); Nucl. Phys. B224, 107 (1983).
See, e.g., Mark J Collaboration, B. Adeva et al., Phys. Rev. Lett. 55, 665 (1985).
R. Conti et al., Phys. Rev. Lett. 42, 343 (1979); P. M. Bucksbaum, E. D. Commins and L. R. Hunter, ibid. 46, 640 (1981); Phys. Rev. D 24, 1134 (1981) M. A. Bouchiat, J. Guena, L. Pottier and L. Hunter, Phys. Lett. 134 B, 463 (1984).
See, e.g., F. A. Behrends, R. Kleiss and S. Jadach, Nucl. Phys. B202, 63 (1983); R. Decker, E. A. Paschos and R. W. Brown, Phys. Rev. Lett. 52, 1192 (1984). See also Refs. 8–10 quoted in Ref. 10 above.
See, e.g., R. W. Robinett and J. L. Rosner, Phys. Rev. D 25, 3036 (1982) or Ref. 6 above.
For a recent review, see J. F. Donoghue, E. Golowich, and B. Holstein, University of Massachusetts Report No. UMHEP-227 (unpublished).
T. Inami and C. S. Lim, Prog. Theor. Phys. 65, 297 (1981).
M. Veltman, Nucl. Phys. B123, 89 (1977); M. S. Chanowitz, M. A. Furman and I. Hinchcliffe, Phys. Lett. 78 B, 285 (1978).
J. Ellis and D. V. Nanopoulos, Phys. Lett. 110 B, 44 (1982). In the charged-lepton (scalar-lepton) sector, the process μ -> e gamma via eEZ (eẼZ̃ ) vertices can give constraints on the E (Ẽ) masses and mixings as well.
S. Barr, Phys. Rev. Lett. 55, 2778 (1985).

[c1] For a review, see J. H. Schwarz, Phys. Rep. 89 C, 223 (1982).

[c2] F. Gürsey, P. Ramond and P. Sikivie, Phys. Lett. 60 B, 177 (1976); Y. Achiman and B. Stech, ibid. 77 B, 389 (1978); Q. Shafi, ibid. 79 B, 301 (1979); F. Gürsey and M. Serdaroglu, Lett. Nuovo Cimento 21, 28 (1978); Nuovo Cimento 65 A, 337 (1981) R. Barbieri, D. V. Nanopoulos and A. Masiero, Phys. Lett. 104 B, 194 (1981).

[c3] See, e.g., E. Witten, in Sixth Workshop on Grand Unification, Minneapolis, 1985, edited by S. Rudaz and T. Walsh (World Scientific, Singapore, 1986).

[c4] P. Candelas, G. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258, 46 (1985); J. Breit, B. Ovrut and G. Segré, Phys. Lett. 158 B, 33 (1985); S. Cecotti, J. P. Derendinger, S. Ferrara and L. Girardello, ibid. 156 B, 318 (1985); M. Dine, V. Kaplunovsky, M. Mangano, C. Nappi and N. Seiberg, Nucl. Phys. B259, 549 (1985).

[c5] H. E. Haber and G. L. Kane, Phys. Rep. 117, 75 (1985); S. Dawson, E. Eichten and C. Quigg, Phys. Rev. D 31, 1581 (1985).

[c6] For a presuperstring discussion of neutral currents in extended electroweak theories derived from E $_{6}$ , see R. W. Robinett, Phys. Rev. D 26, 2388 (1982).

[c7] J. L. Rosner, University of Chicago Report No. EFI 85-34 (unpublished).

[c8] For a more complete discussion of the particle content and quantum numbers of the E $_{6}$ 27, see Ref. 7.

[c9] For discussions of Δ I = 1/2 ,0 mass terms see P. Fishbane, S. Meshkov and P. Ramond, Phys. Lett. 134 B, 81 (1984); P. Fishbane, S. Meshkov, R. E. Norton and P. Ramond, Phys. Rev. D 31, 1119 (1985); F. del Aguila and M. J. Bowick, Phys. Lett. 119 B, 144 (1982); Nucl. Phys. B224, 107 (1983).

[c10] See, e.g., Mark J Collaboration, B. Adeva et al., Phys. Rev. Lett. 55, 665 (1985).

[c11] R. Conti et al., Phys. Rev. Lett. 42, 343 (1979); P. M. Bucksbaum, E. D. Commins and L. R. Hunter, ibid. 46, 640 (1981); Phys. Rev. D 24, 1134 (1981) M. A. Bouchiat, J. Guena, L. Pottier and L. Hunter, Phys. Lett. 134 B, 463 (1984).

[c12] See, e.g., F. A. Behrends, R. Kleiss and S. Jadach, Nucl. Phys. B202, 63 (1983); R. Decker, E. A. Paschos and R. W. Brown, Phys. Rev. Lett. 52, 1192 (1984). See also Refs. 8–10 quoted in Ref. 10 above.

[c13] See, e.g., R. W. Robinett and J. L. Rosner, Phys. Rev. D 25, 3036 (1982) or Ref. 6 above.

[c14] For a recent review, see J. F. Donoghue, E. Golowich, and B. Holstein, University of Massachusetts Report No. UMHEP-227 (unpublished).

[c15] T. Inami and C. S. Lim, Prog. Theor. Phys. 65, 297 (1981).

[c16] M. Veltman, Nucl. Phys. B123, 89 (1977); M. S. Chanowitz, M. A. Furman and I. Hinchcliffe, Phys. Lett. 78 B, 285 (1978).

[c17] J. Ellis and D. V. Nanopoulos, Phys. Lett. 110 B, 44 (1982). In the charged-lepton (scalar-lepton) sector, the process μ -> e gamma via eEZ (eẼZ̃ ) vertices can give constraints on the E (Ẽ) masses and mixings as well.

[c18] S. Barr, Phys. Rev. Lett. 55, 2778 (1985).

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On the mixing and production of exotic fermions in $E_{6}$

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On the mixing and production of exotic fermions in E6

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On the mixing and production of exotic fermions in $E_{6}$