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\(SU(3)_c\otimes SU(4)_{\mathrm {L}}\otimes U(1)_X\) model for three families

  • theoretical physics
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Abstract.

An extension of the standard model to the local gauge group \(SU(3)_c\otimes SU(4)_{\mathrm {L}}\otimes U(1)_X\) as a three-family model is presented. The model does not contain exotic electric charges and we obtain a consistent mass spectrum by introducing an anomaly-free discrete Z 2 symmetry. The neutral currents coupled to all neutral vector bosons in the model are studied. By using experimental results from the CERN LEP, SLAC Linear Collider and atomic parity violation data we constrain the mixing angle between two of the neutral currents in the model and the mass of the additional neutral gauge bosons to be \(-0.0032\leq\sin\theta\leq 0.0031\) and \(0.67 \hbox{TeV}\leq M_{Z_2} \leq 6.1\) TeV at \(95 \%\) C.L., respectively.

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References

  1. For an excellent compendium of the SM see: J.F. Donoghue, E. Golowich, B. Holstein, Dynamics of the standard model (Cambridge University Press, Cambridge, England 1992)

  2. M.B. Voloshin, Sov. J. Nucl. Phys. 48, 512 (1988); F. Pisano, T.A. Tran, ICTP preprint IC/93/200, Proceedings of The XIV Encontro National de Fí sica de Partí culas e Campos, Caxambu (1993); V. Pleitez, Report No. IFT-P.010/93, hep-ph/9302287; R. Foot, H.N. Long, T.A. Tran, Phys. Rev. D 50, R34 (1994); F. Pisano, V. Pleitez, Phys. Rev. D 51, 3865 (1995); I. Cotaescu, Int. J. Mod. Phys. A 12, 1483 (1997)

    Google Scholar 

  3. W.A. Ponce, D.A. Gutiérrez, L.A. Sánchez, Phys. Rev. D 69, 055007 (2004)

    Article  Google Scholar 

  4. D.E. Kaplan, M. Schmaltz, JHEP 0310, 039 (2003); O.C.W. Kong, hep-ph/0307250, NCU-HEP-K009; hep-ph/0308148

    Article  Google Scholar 

  5. W.A. Ponce, J.B. Flórez, L.A. Sánchez, Int. J. Mod. Phys. A 17, 643 (2002); W.A. Ponce, Y. Giraldo, L.A. Sánchez, Systematic study of 3-3-1 models, in Proceedings of the VIII Mexican Workshop of Particles and Fields, Zacatecas, Mexico, 2001, edited by J.L. Dí az-Cruz et al. (AIP Conf. Proc. Vol. 623, New York, 2002), pp. 341-346 [hep-ph/0201133]

    Article  MATH  Google Scholar 

  6. L.M. Krauss, F. Wilczek, Phys. Rev. Lett. 62, 1221 (1989); L.E. Ibañez, G.G. Ross, Phys. Lett. B 260, 291 (1991)

    Article  Google Scholar 

  7. W.S. Hou, Phys. Lett. B 296, 179 (1992); D. Cahng, W.S. Hou, W.Y. Keung, Phys. Rev. D 48, 217 (1993); S. Nie, M. Sher, Phys. Rev. D 58, 097701 (1998)

    Article  Google Scholar 

  8. For recent reviews see: J.W.F. Valle, Neutrino masses twenty-five years later, hep-ph/0307192; V. Barger, D. Marfalia, K. Whishnaut, Int. J. Mod. Phys. E 12, 569 (2003)

    Article  Google Scholar 

  9. K.G. Chetyrkin, J.H. Kün, Phys. Lett. B 406, 102 (1997)

    Article  Google Scholar 

  10. A. Leike, Phys. Rep. 317, 143 (1999)

    Article  Google Scholar 

  11. J. Bernabeu, A. Pich, A. Santamaria, Nucl. Phys. B 363, 326 (1991)

    Google Scholar 

  12. Particle Data Group, K. Hagiwara et al. , Phys. Rev. D 66, 01001 (2002)

    Google Scholar 

  13. W.J. Marciano, A. Sirlin, Phys. Rev D 29, 75 (1984); W.J. Marciano, J. Rosner, Phys. Rev. Lett. 65, 2963 (1990)

    Article  Google Scholar 

  14. L. Durkin, P. Langacker, Phys. Lett. B 166, 436 (1986)

    Article  Google Scholar 

  15. R. Casalbuoni, S. De Curtis, D. Dominici, R. Gatto, Phys. Lett. B 460, 135 (1999); J. Rosner, Phys. Rev. D 61, 016006 (2000); J. Erler, P. Langacker, Phys. Rev. Lett. 84, 212 (2000)

    Article  Google Scholar 

  16. F. Abe et al. , Phys. Rev. Lett. 79, 2192 (1997)

    Article  Google Scholar 

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Authors and Affiliations

  1. Escuela de Física, Universidad Nacional de Colombia, A.A. 3840, Medellín, Colombia

    L. A. Sánchez & F. A. Pérez

  2. Instituto de Física, Universidad de Antioquia, A.A. 1226, Medellín, Colombia

    W. A. Ponce

Authors
  1. L. A. Sánchez
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  2. F. A. Pérez
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  3. W. A. Ponce
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Received: 7 February 2004, Published online: 5 May 2004

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Sánchez, L.A., Pérez, F.A. & Ponce, W.A. \(SU(3)_c\otimes SU(4)_{\mathrm {L}}\otimes U(1)_X\) model for three families. Eur. Phys. J. C 35, 259–265 (2004). https://doi.org/10.1140/epjc/s2004-01851-0

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  • DOI: https://doi.org/10.1140/epjc/s2004-01851-0

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