SU(3<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mo>)</mo></mrow><mrow><mi mathvariant="italic">L</mi></mrow></msub></mrow></math>⊗U(1<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mo>)</mo></mrow><mrow><mi mathvariant="italic">N</mi></mrow></msub></mrow></math> and SU(4<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mo>)</mo></mrow><mrow><mi mathvariant="italic">L</mi></mrow></msub></mrow></math>⊗U(1<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mo>)</mo></mrow><mrow><mi mathvariant="italic">N</mi></mrow></msub></mrow></math> gauge models with right-handed neutrinos

Robert Foot; Hoang Ngoc Long; Tuan A. Tran

doi:10.1103/PhysRevD.50.R34

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SU(3 $)_{L}$ ⊗U(1 $)_{N}$ and SU(4 $)_{L}$ ⊗U(1 $)_{N}$ gauge models with right-handed neutrinos

Robert Foot

Hoang Ngoc Long

Tuan A. Tran

Physics Department, McGill University, 3600 University Street, Montréal, Québec, Canada H3A 2T8

Institute of Theoretical Physics, National Center for Natural Science and Technology, P.O. Box 429, Boho, Hanoi 10000, Vietnam

Graduate College in Physics, National Center for Natural Science and Technology, P.O. Box 429, Boho, Hanoi 10000, Vietnam

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Phys. Rev. D 50, R34(R) – Published 1 July, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.R34

Abstract

Pisano and Pleitez have introduced an interesting SU(3 $)_{C}$ ⊗ SU(3 $)_{L}$ ⊗ U(1 $)_{N}$ gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a nontrivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three SU(3 $)_{L}$ triplets [rather than three SU(3 $)_{L}$ triplets and a sextet]. We also consider a gauge model based on SU(3 $)_{C}$ ⊗ SU(4 $)_{L}$ ⊗ U(1 $)_{N}$ symmetry. Both of these new models also have the feature that the anomalies cancel only when the number of generations is divisible by 3.

References (4)

F. Pisano and V. Pleitez, Phys. Rev. D 46, 410 (1992); R. Foot, O. F. Hernandez, F. Pisano and V. Pleitez, ibid. 47, 4158 (1993); P. H. Frampton, Phys. Rev. Lett. 69, 2889 (1992).
J. C. Montero, F. Pisano and V. Pleitez, Phys. Rev. D 47, 2918 (1993); V. Pleitez and M. D. Tonasse, ibid. 48, 2353 (1993); ibid. 48, 5274 (1993); T. V. Duong and E. Ma, Phys. Lett. B 316, 307 (1993); F. Pisano and V. Pleitez, Report No. IFT P.026/93 (unpublished); D. Ng, TRIUMF (unpublished).
This gauge group and fermion representations were already discussed by F. Pisano and Tran Anh Tuan, in Proceedings of the XIVV Encontro National de Física de Partícular e Campos, Caxambu, 1993 (unpublished). However, they did not consider symmetry breaking, which is done in the present paper.
See, for example, P. Langacker and D. London, Phys. Rev. D 38, 886 (1988).

[c1] F. Pisano and V. Pleitez, Phys. Rev. D 46, 410 (1992); R. Foot, O. F. Hernandez, F. Pisano and V. Pleitez, ibid. 47, 4158 (1993); P. H. Frampton, Phys. Rev. Lett. 69, 2889 (1992).

[c2] J. C. Montero, F. Pisano and V. Pleitez, Phys. Rev. D 47, 2918 (1993); V. Pleitez and M. D. Tonasse, ibid. 48, 2353 (1993); ibid. 48, 5274 (1993); T. V. Duong and E. Ma, Phys. Lett. B 316, 307 (1993); F. Pisano and V. Pleitez, Report No. IFT P.026/93 (unpublished); D. Ng, TRIUMF (unpublished).

[c3] This gauge group and fermion representations were already discussed by F. Pisano and Tran Anh Tuan, in Proceedings of the XIVV Encontro National de Física de Partícular e Campos, Caxambu, 1993 (unpublished). However, they did not consider symmetry breaking, which is done in the present paper.

[c4] See, for example, P. Langacker and D. London, Phys. Rev. D 38, 886 (1988).

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SU(3 $)_{L}$ ⊗U(1 $)_{N}$ and SU(4 $)_{L}$ ⊗U(1 $)_{N}$ gauge models with right-handed neutrinos

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SU(3)L⊗U(1)N and SU(4)L⊗U(1)N gauge models with right-handed neutrinos

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SU(3 $)_{L}$ ⊗U(1 $)_{N}$ and SU(4 $)_{L}$ ⊗U(1 $)_{N}$ gauge models with right-handed neutrinos