Extended-technicolor signatures at the Superconducting Super Collider

Peter Arnold; Christopher Wendt

doi:10.1103/PhysRevD.33.1873

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Extended-technicolor signatures at the Superconducting Super Collider

Peter Arnold

Christopher Wendt

Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, California 94305

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

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Phys. Rev. D 33, 1873 – Published 1 April, 1986

DOI: https://doi.org/10.1103/PhysRevD.33.1873

Abstract

We consider signatures at the Superconducting Super Collider of extended-technicolor (ETC) models that contain only one doublet of techniquarks. In these models, the ETC gauge bosons carry color and can be produced in the gluon-gluon subprocess of pp collisions. We find that the predominant signal is the production and decay of bound states of ETC gauge bosons. The bound-state levels are split by the hyperfine interaction and the color force. A major decay mode yields t t¯ $Z^{0}$ in the final state. The bound states are expected to be narrow enough that one could observe their spectroscopy in this channel. For √s =40 TeV, the cross section times branching ratio should be about 4 nb if the ETC-boson mass is 1 TeV. The signal falls rapidly for larger masses due to the smaller effective gluon-gluon luminosity.

References (23)

For mechanisms other than ETC, see the review in P. Sikivie, in Proceedings of the 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado, edited by R. Donaldson and J. Morfin (Division of Particles and Fields of the American Physical Society, New York, 1985), p. 771.
S. Dimopoulos and L. Susskind, Nucl. Phys. B155, 237 (1978); E. Eichten and K. Lane, Phys. Lett. 90B, 125 (1980).
For reviews of technicolor and ETC, see E. Farhi and L. Susskind, Phys. Rep. 74, 277 (1981); R. Kaul, Rev. Mod. Phys. 55, 158 (1981); K. Lane, in Proceedings of the 1982 DPF Summer Study on Elementary Particle Physics and Future Facilities, Snowmass, Colorado, edited by R. Donaldson, R. Gustafson, and F. Paige (Fermilab, Batavia, Illinois, 1982), p. 222.
S. Dimopoulos, Nucl. Phys. B168, 69 (1980).
M. Peskin, Nucl. Phys. B175, 97 (1980); J. Preskill, ibid. B177, 21 (1981).
E. Eichten and K. Lane, Phys. Lett. 90B, 125 (1980); S. Chadha and M. Peskin, Nucl. Phys. B187, 541 (1981); P. Binetruy, S. Chadha and P. Sikivie, Phys. Lett. 107B, 425 (1981).
S. Yamada, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1984), p. 525; S. Komamiya, in Proceedings of the 1985 International Symposium on Lepton and Photon Interactions at High Energies, Kyoto (Research Institute for Fundamental Physics, Kyoto University, Kyoto, 1985).
S. Dimopoulos, H. Georgi, and S. Raby, Phys. Lett. B127, 101 (1983).
S. Chao and K. Lane, Phys. Lett. 159B, 135 (1985); B. Holdom, Phys. Rev. D 24, 1441 (1981).
S. Dimopoulos and J. Ellis, Nucl. Phys. B182, 505 (1981).
The model we consider here is oversimplified. We have assumed that ETC commutes with SU(2 $)_{L}$ . On the other hand, the t and b quarks should not couple to exactly the same ETC bosons; otherwise, they will have the same mass. A model which satisfies these constraints is given in Ref. 8. Some ETC bosons couple equally to left-handed b's and t's, others couple only to right-handed t's, and yet others couple only to right-handed b's. Quark masses arise because these ETC bosons mix. Rather than make a detailed analysis of a particular model, we make the simplifying assumption that the ETC bosons couple vectorially, coupling to t's and possibly b's. Our conclusions do not depend on whether the couplings are vectorial or chiral.
E. Eichten, I. Hinchliffe, K. Lane and C. Quigg, Rev. Mod. Phys. 56, 579 (1984). For numerical calculations we use the parton distribution functions of set 2 and $α_{s}$ ( $q^{2}$ ) given by their Eq. (2.42).
The states are normalized so that < p|q > =(2 π $)^{3}$ 2 ω $δ^{3}$ (p-q), and the amplitude has been averaged over gluon spin and color.
Normalized to int $d^{3}$ r| ψ (r) $|^{2}$ =1.
J. L. Richardson, Phys. Lett. 82B, 272 (1978).
For a review of potential models, see E. Eichten, in Proceedings of the 1984 SLAC Summer Institute on Particle Physics, Stanford, edited by P. McDonough (SLAC, Stanford, 1985), p. 1.
S. Dimopoulos, S. Raby and G. Kane, Nucl. Phys. B182, 77 (1981).
A. De Rújula, H. Georgi and S. L. Glashow, Phys. Rev. D 12, 147 (1975).
There is also a contribution due to exchange of the effective Higgs boson which breaks ETC. This contribution turns out to be relatively small unless the mass of the Higgs boson is near the mass of the EĒ bound state (in which case mixing could occur between the Higgs boson and the $EĒ). We ignore this possible complication.
The zero width for the spin-0 state is an artifact of our method, in particular taking $m_{U}$ app0. Because the nonzero results we obtain for the other states are small, we will not be concerned with trying to improve the approximation.
See, for example, S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177, 2239 (1969). C. Callan, S. Coleman, J. Wess and B. Zumino, ibid. 177, 2247 (1969).
J. F. Gunion, P. Kalyniak, M. Soldate, and P. Galison, Report No. SLAC-PUB-3604, 1985 (unpublished); J. F. Gunion, Z. Kunszt and M. Soldate, Phys. Lett. B163, 389 (1985).
K. Lane and J. Rohlf, in Proceedings of the 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado (Ref. 1), p. 737.

[c1] For mechanisms other than ETC, see the review in P. Sikivie, in Proceedings of the 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado, edited by R. Donaldson and J. Morfin (Division of Particles and Fields of the American Physical Society, New York, 1985), p. 771.

[c2] S. Dimopoulos and L. Susskind, Nucl. Phys. B155, 237 (1978); E. Eichten and K. Lane, Phys. Lett. 90B, 125 (1980).

[c3] For reviews of technicolor and ETC, see E. Farhi and L. Susskind, Phys. Rep. 74, 277 (1981); R. Kaul, Rev. Mod. Phys. 55, 158 (1981); K. Lane, in Proceedings of the 1982 DPF Summer Study on Elementary Particle Physics and Future Facilities, Snowmass, Colorado, edited by R. Donaldson, R. Gustafson, and F. Paige (Fermilab, Batavia, Illinois, 1982), p. 222.

[c4] S. Dimopoulos, Nucl. Phys. B168, 69 (1980).

[c5] M. Peskin, Nucl. Phys. B175, 97 (1980); J. Preskill, ibid. B177, 21 (1981).

[c6] E. Eichten and K. Lane, Phys. Lett. 90B, 125 (1980); S. Chadha and M. Peskin, Nucl. Phys. B187, 541 (1981); P. Binetruy, S. Chadha and P. Sikivie, Phys. Lett. 107B, 425 (1981).

[c7] S. Yamada, in Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, Ithaca, New York, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1984), p. 525; S. Komamiya, in Proceedings of the 1985 International Symposium on Lepton and Photon Interactions at High Energies, Kyoto (Research Institute for Fundamental Physics, Kyoto University, Kyoto, 1985).

[c8] S. Dimopoulos, H. Georgi, and S. Raby, Phys. Lett. B127, 101 (1983).

[c9] S. Chao and K. Lane, Phys. Lett. 159B, 135 (1985); B. Holdom, Phys. Rev. D 24, 1441 (1981).

[c10] S. Dimopoulos and J. Ellis, Nucl. Phys. B182, 505 (1981).

[c11] The model we consider here is oversimplified. We have assumed that ETC commutes with SU(2 $)_{L}$ . On the other hand, the t and b quarks should not couple to exactly the same ETC bosons; otherwise, they will have the same mass. A model which satisfies these constraints is given in Ref. 8. Some ETC bosons couple equally to left-handed b's and t's, others couple only to right-handed t's, and yet others couple only to right-handed b's. Quark masses arise because these ETC bosons mix. Rather than make a detailed analysis of a particular model, we make the simplifying assumption that the ETC bosons couple vectorially, coupling to t's and possibly b's. Our conclusions do not depend on whether the couplings are vectorial or chiral.

[c12] E. Eichten, I. Hinchliffe, K. Lane and C. Quigg, Rev. Mod. Phys. 56, 579 (1984). For numerical calculations we use the parton distribution functions of set 2 and $α_{s}$ ( $q^{2}$ ) given by their Eq. (2.42).

[c13] The states are normalized so that < p|q > =(2 π $)^{3}$ 2 ω $δ^{3}$ (p-q), and the amplitude has been averaged over gluon spin and color.

[c14] Normalized to int $d^{3}$ r| ψ (r) $|^{2}$ =1.

[c15] J. L. Richardson, Phys. Lett. 82B, 272 (1978).

[c16] For a review of potential models, see E. Eichten, in Proceedings of the 1984 SLAC Summer Institute on Particle Physics, Stanford, edited by P. McDonough (SLAC, Stanford, 1985), p. 1.

[c17] S. Dimopoulos, S. Raby and G. Kane, Nucl. Phys. B182, 77 (1981).

[c18] A. De Rújula, H. Georgi and S. L. Glashow, Phys. Rev. D 12, 147 (1975).

[c19] There is also a contribution due to exchange of the effective Higgs boson which breaks ETC. This contribution turns out to be relatively small unless the mass of the Higgs boson is near the mass of the EĒ bound state (in which case mixing could occur between the Higgs boson and the $EĒ). We ignore this possible complication.

[c20] The zero width for the spin-0 state is an artifact of our method, in particular taking $m_{U}$ app0. Because the nonzero results we obtain for the other states are small, we will not be concerned with trying to improve the approximation.

[c21] See, for example, S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177, 2239 (1969). C. Callan, S. Coleman, J. Wess and B. Zumino, ibid. 177, 2247 (1969).

[c22] J. F. Gunion, P. Kalyniak, M. Soldate, and P. Galison, Report No. SLAC-PUB-3604, 1985 (unpublished); J. F. Gunion, Z. Kunszt and M. Soldate, Phys. Lett. B163, 389 (1985).

[c23] K. Lane and J. Rohlf, in Proceedings of the 1984 Summer Study on the Design and Utilization of the Superconducting Super Collider, Snowmass, Colorado (Ref. 1), p. 737.

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Extended-technicolor signatures at the Superconducting Super Collider

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