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Scalar potential without cubic term in 3-3-1 models without exotic electric charges

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Abstract

A detailed study of the criteria for stability of the scalar potential, and the proper electroweak symmetry breaking pattern in some 3-3-1 models without exotic electric charges is presented. In this paper we concentrate in a scalar sector with three Higgs scalar triplets, with a potential that does not include the cubic term, due to the presence of a discrete symmetry. For the analysis we use, and improve, a method previously developed to study the scalar potential in the two-Higgs-doublet extension of the standard model. Our main result is to show the consistency of those 3-3-1 models without exotic electric charges.

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References

  1. N.G. Deshpande, E. Ma, Phys. Rev. D 18, 2574 (1978)

    Article  ADS  Google Scholar 

  2. H.E. Haber, G.L. Kane, T. Sterling, Nucl. Phys. B 161, 493 (1979)

    Article  ADS  Google Scholar 

  3. J.F. Donoghue, L.F. Li, Phys. Rev. D 19, 945 (1979)

    Article  ADS  Google Scholar 

  4. L.J. Hall, M.B. Wise, Nucl. Phys. B 187, 397 (1981)

    Article  ADS  Google Scholar 

  5. T.P. Cheng, M. Sher, Phys. Rev. D 35, 3484 (1987)

    Article  ADS  Google Scholar 

  6. J.F. Gunion, H.E. Haber, G. Kane, S. Dawson, The Higgs Hunter’s Guide (Addison-Wesley, Reading, 1990)

    Google Scholar 

  7. R.A. Diaz Sánchez, Ph.D. Thesis, hep-ph/0212237

  8. I.F. Ginzburg, M. Krawczyk, Phys. Rev. D 72, 115013 (2005)

    Article  ADS  Google Scholar 

  9. S. Davidson, H.E. Haber, Phys. Rev. D 72, 035004 (2005) [Erratum: Phys. Rev. D 72, 099902 (2005)]

    Article  ADS  Google Scholar 

  10. H.E. Haber, D. O’Neil, Phys. Rev. D 74, 015018 (2006) [Erratum: Phys. Rev. D 74, 059905 (2006)]

    Article  ADS  Google Scholar 

  11. A. Barroso, P.M. Ferreira, R. Santos, Phys. Lett. B 632, 684 (2006)

    Article  ADS  Google Scholar 

  12. M. Maniatis, M.A. Manteuffel, O. Nachtmann, F. Nagel, Eur. Phys. J. C 48, 805 (2006)

    Article  ADS  Google Scholar 

  13. M. Maniatis, M.A. Manteuffel, O. Nachtmann, Eur. Phys. J. C 48, 1067 (2007)

    Article  ADS  Google Scholar 

  14. F. Nagel, Ph.D. Thesis, Heidelberg University (2004)

  15. I.P. Ivanov, Phys. Lett. B 632, 360 (2006)

    Article  ADS  Google Scholar 

  16. I.P. Ivanov, Phys. Rev. D 75, 035001 (2007) [Erratum: Phys. Rev. D 76, 039902 (2007)]

    Article  ADS  Google Scholar 

  17. C.C. Nishi, Phys. Rev. D 74, 036003 (2006)

    Article  ADS  Google Scholar 

  18. C.C. Nishi, Phys. Rev. D 77, 055009 (2008)

    Article  ADS  Google Scholar 

  19. F. Pisano, V. Pleitez, Phys. Rev. D 46, 410 (1992)

    Article  ADS  Google Scholar 

  20. P.H. Frampton, Phys. Rev. Lett. 69, 2887 (1992)

    Article  ADS  Google Scholar 

  21. V. Pleitez, M.D. Tonasse, Phys. Rev. D 48, 2353 (1993)

    Article  ADS  Google Scholar 

  22. V. Pleitez, M.D. Tonasse, Phys. Rev. D 48, 5274 (1993)

    Article  ADS  Google Scholar 

  23. D. Ng, Phys. Rev. D 49, 4805 (1994)

    Article  ADS  Google Scholar 

  24. L. Epele, H. Fanchiotti, C. García Canal, D. Gómez Dumm, Phys. Lett. B 343, 291 (1995)

    Article  ADS  Google Scholar 

  25. M. Özer, Phys. Rev. D 54, 4561 (1996)

    Article  ADS  Google Scholar 

  26. J.C. Montero, F. Pisano, V. Pleitez, Phys. Rev. D 47, 2918 (1993)

    Article  ADS  Google Scholar 

  27. R. Foot, H.N. Long, T.A. Tran, Phys. Rev. D 50, R34 (1994)

    Article  ADS  Google Scholar 

  28. H.N. Long, Phys. Rev. D 53, 437 (1996)

    Article  ADS  Google Scholar 

  29. H.N. Long, Phys. Rev. D 54, 4691 (1996)

    Article  ADS  Google Scholar 

  30. V. Pleitez, Phys. Rev. D 53, 514 (1996)

    Article  ADS  Google Scholar 

  31. M. Özer, Phys. Rev. D 54, 1143 (1996)

    Article  ADS  Google Scholar 

  32. W.A. Ponce, O. Zapata, Phys. Rev. D 74, 093007 (2006)

    Article  ADS  Google Scholar 

  33. J.C. Salazar, W.A. Ponce, D.A. Gutiérrez, Phys. Rev. D 75, 075016 (2007)

    Article  ADS  Google Scholar 

  34. D.L. Anderson, M. Sher, Phys. Rev. D 72, 095014 (2005)

    Article  ADS  Google Scholar 

  35. W.A. Ponce, Y. Giraldo, L.A. Sánchez, in Proceedings of the VIII Mexican Workshop of Particles and Fields, Zacatecas, México, 2001, ed. by J.L. Díaz-Cruz et al. AIP Conf. Proc., vol. 623 (AIP, New York, 2002), pp. 341–346

    Google Scholar 

  36. W.A. Ponce, J.B. Flórez, L.A. Sánchez, Int. J. Mod. Phys. A 17, 643 (2002)

    Article  ADS  MATH  Google Scholar 

  37. M.D. Tonasse, Phys. Lett. B 381, 191 (1996)

    Article  ADS  Google Scholar 

  38. D. Gómez Dumm, Int. J. Mod. Phys. A 13, 887 (1996)

    Google Scholar 

  39. H.N. Long, Mod. Phys. Lett. A 13, 1865 (1998)

    Article  ADS  Google Scholar 

  40. N.T. Anh, N.A. Ky, H.N. Long, Int. J. Mod. Phys. A 15, 283 (2000)

    ADS  Google Scholar 

  41. N.T. Anh, N.A. Ky, H.N. Long, Int. J. Mod. Phys. A 16, 541 (2001)

    Article  ADS  Google Scholar 

  42. M.B. Tully, G.C. Joshi, Int. J. Mod. Phys. A 18, 1573 (2003)

    Article  ADS  MATH  Google Scholar 

  43. W.A. Ponce, Y. Giraldo, L.A. Sánchez, Phys. Rev. D 67, 075001 (2003)

    Article  ADS  Google Scholar 

  44. Y. Giraldo, W.A. Ponce, L.A. Sánchez, Eur. Phys. J. C 63, 461 (2009)

    Article  ADS  Google Scholar 

  45. H.N. Long, Mod. Phys. Lett. A 13, 1865 (1998)

    Article  ADS  Google Scholar 

  46. H.N. Long, N.Q. Lan, Europhys. Lett. 64, 571 (2003)

    Article  ADS  Google Scholar 

  47. J.L. García Luna, G. Tavares-Velasco, J.J. Toscano, Phys. Rev. D 69, 093005 (2004)

    Article  ADS  Google Scholar 

  48. A.G. Dias, C.A. de S. Pires, P.S. Rodrigues da Silva, Phys. Lett. B 628, 85 (2005)

    Article  ADS  Google Scholar 

  49. P.B. Pal, Phys. Rev. D 52, 1659 (1995)

    Article  ADS  Google Scholar 

  50. A.G. Dias, C.A. de S. Pires, P.S. Rodrigues da Silva, Phys. Rev. D 68, 115009 (2003)

    Article  ADS  Google Scholar 

  51. C.A. de S. Pires, P.S. Rodrigues da Silva, Eur. Phys. J. C 36, 397 (2004)

    Article  ADS  Google Scholar 

  52. A.G. Dias, C.A. de S. Pires, V. Pleitez, P.S. Rodrigues da Silva, Phys. Lett. B 621, 151 (2005)

    Article  ADS  Google Scholar 

  53. P.V. Dong, H.N. Long, D.T. Nhung, D.V. Soa, Phys. Rev. D 73, 035004 (2006)

    Article  ADS  Google Scholar 

  54. P.V. Dong, H.N. Long, D.V. Soa, Phys. Rev. D 73, 075005 (2006)

    Article  ADS  Google Scholar 

  55. P.V. Dong, H.N. Long, D.T. Nhung, Phys. Lett. B 639, 527 (2006)

    Article  ADS  Google Scholar 

  56. D.A. Gutierrez, W.A. Ponce, L.A. Sánchez, Int. J. Mod. Phys. A 21, 2217 (2006)

    Article  ADS  MATH  Google Scholar 

  57. P.V. Dong, H.N. Long, D.V. Soa, Phys. Rev. D 75, 073006 (2007)

    Article  ADS  Google Scholar 

  58. P.V. Dong, H.N. Long, Adv. High Energy Phys. 2008, 739492 (2008)

    MathSciNet  Google Scholar 

  59. J.M. Cabarcas, D. Gómez-Dumm, R. Martinez, Phys. Rev. D 77, 036002 (2008)

    Article  ADS  Google Scholar 

  60. P.V. Dong, D.T. Huong, Tr.T. Huong, H.N. Long, Phys. Rev. D 74, 053003 (2006)

    Article  ADS  Google Scholar 

  61. H. Fanchiotti, C. García-Canal, W.A. Ponce, Europhys. Lett. 72, 733 (2005)

    Article  ADS  Google Scholar 

  62. J.C. Salazar, W.A. Ponce, D.A. Gutiérrez, Phys. Rev. D 75, 075016 (2007)

    Article  ADS  Google Scholar 

  63. R. Diaz, R. Martínez, F. Ochoa, Phys. Rev. D 69, 095009 (2004)

    Article  ADS  Google Scholar 

  64. S. Filippi, W.A. Ponce, L.A. Sánchez, Europhys. Lett. 73, 142 (2006)

    Article  ADS  Google Scholar 

  65. R.D. Peccei, H.R. Quinn, Phys. Rev. Lett. 38, 1440 (1977)

    Article  ADS  Google Scholar 

  66. R.D. Peccei, H.R. Quinn, Phys. Rev. D 16, 1791 (1977)

    Article  ADS  Google Scholar 

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Correspondence to Yithsbey Giraldo.

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Giraldo, Y., Ponce, W.A. Scalar potential without cubic term in 3-3-1 models without exotic electric charges. Eur. Phys. J. C 71, 1693 (2011). https://doi.org/10.1140/epjc/s10052-011-1693-3

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