Quark-lepton-symmetric model

Robert Foot; Henry Lew

doi:10.1103/PhysRevD.41.3502

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Quark-lepton-symmetric model

Robert Foot

Henry Lew

Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706

Research Center for High Energy Physics, School of Physics, University of Melbourne, Parkville 3052, Australia

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Phys. Rev. D 41, 3502 – Published 1 June, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.3502

Abstract

The notion that there exists a fundamental quark-lepton symmetry is proposed. To implement this symmetry, leptons (as well as quarks) are assumed to come in three "colors," i.e., the gauge group of the world is assumed to be ${SU (3)}_{q} \otimes {SU (3)}_{l} \otimes {SU (2)}_{L} \otimes {U (1)}_{y}$ . From the consistency considerations of gauge invariance and anomaly cancellation we "derive" the form of a $Z_{2}$ discrete symmetry which transforms quarks to leptons (and leptons to quarks). We show that such a theory can reproduce the standard model at low energies (i.e., $\sqrt{s} \leq 100$ GeV), and hence quark-lepton symmetry may be realized in nature.

References (12)

J. C. Pati and A. Salam, Phys. Rev. D 10, 275 (1974) R. N. Mohapatra and J. C. Pati, ibid. 11, 566 (1975) ibid.11, 2558 (1975)
G. Senjanovic and R. N. Mohapatra, Phys. Rev. D 12, 1502 (1975) R. N. Mohapatra and G. Senjanovic, ibid. 23, 165 (1981)
Omitted endnote
R. Foot, Phys. Rev. D 40, 3136 (1989)
R. Foot and O. F. Hernandez, Phys. Rev. D 41, 2283 (1990)
R. Foot, G. C. Joshi, H. Lew, and R. R. Volkas, Mod. Phys. Lett. A 5, 95 (1990) N. G. Deshpande, Oregon University Report No. OITS-107, 1979 (unpublished)
K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 63, 938 (1989) Phys. Rev. D 41, 271 (1990) R. Foot, University of Wisconsin Report No. MAD/TH/89-6, 1989 (unpublished)
T. Yanagida, in Proceedings of the Workshop on Unified Theory and Baryon Number in the Universe, edited by O. Sawada and A. Sugamoto (KEK, Tsukuba, Japan, 1979) M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1980) R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980)
Babu and Mohapatra (in [7]) R. Foot and H. Lew, Nuovo Cimento (to be published) S. Rajpoot [Mod. Phys. Lett. A 1, 645 (1986)] X-G. He et al. [Phys. Lett. B 222, 86 (1989)] H. Georgi, E. E. Jenkins, and E. H. Simmons [Phys. Rev. Lett. 62, 2789 (1989) ibid.63, 1540(E) (1989)] R. Foot [Report No. MAD/TH/89-8 (unpublished)]
Omitted endnote
Omitted endnote
B. S. Balakrishna, Phys. Rev. Lett. 60, 1602 (1988) B. S. Balakrishna, A. L. Kagan, and R. N. Mohapatra, Phys. Lett. B 205, 345 (1988) X-G. He, R. R. Volkas, and D-D. Wu, Phys. Rev. D 41, 1630 (1990)

[c1] J. C. Pati and A. Salam, Phys. Rev. D 10, 275 (1974) R. N. Mohapatra and J. C. Pati, ibid. 11, 566 (1975) ibid.11, 2558 (1975)

[c2] G. Senjanovic and R. N. Mohapatra, Phys. Rev. D 12, 1502 (1975) R. N. Mohapatra and G. Senjanovic, ibid. 23, 165 (1981)

[c3] Omitted endnote

[c4] R. Foot, Phys. Rev. D 40, 3136 (1989)

[c5] R. Foot and O. F. Hernandez, Phys. Rev. D 41, 2283 (1990)

[c6] R. Foot, G. C. Joshi, H. Lew, and R. R. Volkas, Mod. Phys. Lett. A 5, 95 (1990) N. G. Deshpande, Oregon University Report No. OITS-107, 1979 (unpublished)

[c7] K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett. 63, 938 (1989) Phys. Rev. D 41, 271 (1990) R. Foot, University of Wisconsin Report No. MAD/TH/89-6, 1989 (unpublished)

[c8] T. Yanagida, in Proceedings of the Workshop on Unified Theory and Baryon Number in the Universe, edited by O. Sawada and A. Sugamoto (KEK, Tsukuba, Japan, 1979) M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1980) R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980)

[c9] Babu and Mohapatra (in [7]) R. Foot and H. Lew, Nuovo Cimento (to be published) S. Rajpoot [Mod. Phys. Lett. A 1, 645 (1986)] X-G. He et al. [Phys. Lett. B 222, 86 (1989)] H. Georgi, E. E. Jenkins, and E. H. Simmons [Phys. Rev. Lett. 62, 2789 (1989) ibid.63, 1540(E) (1989)] R. Foot [Report No. MAD/TH/89-8 (unpublished)]

[c10] Omitted endnote

[c11] Omitted endnote

[c12] B. S. Balakrishna, Phys. Rev. Lett. 60, 1602 (1988) B. S. Balakrishna, A. L. Kagan, and R. N. Mohapatra, Phys. Lett. B 205, 345 (1988) X-G. He, R. R. Volkas, and D-D. Wu, Phys. Rev. D 41, 1630 (1990)

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Quark-lepton-symmetric model

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References (12)

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