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Radiative corrections to the S, T, U parameters and their impact on the W boson mass in the 331 model

M. Rehman1,*, M. A. Iqbal1,†, M. E. Gómez2,‡, and O. Panella3,§

  • *Contact author: m.rehman@comsats.edu.pk
  • †Contact author: mradeeliqbal@yahoo.com
  • ‡Contact author: mario.gomez@dfa.uhu.es
  • §Contact author: orlando.panella@cern.ch
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Phys. Rev. D 112, 055029 – Published 19 September, 2025

DOI: https://doi.org/10.1103/vx7q-ns9p

Abstract

We investigate radiative corrections to electroweak precision observables, specifically the Peskin-Takeuchi parameters S, T, and U, in the SU(3)C×SU(3)L×U(1)X model (also known as the 331 model) with β=−3. Using the sarah and spheno packages, we compute the mass spectrum and low-energy observables. We show that these parameters place strong constraints on the model, requiring most of the scalar masses to lie in the TeV range or below, and impose indirect bounds on the newly predicted gauge bosons. Furthermore, we demonstrate that the model can accommodate the W boson mass anomaly reported by the CDF Collaboration, should future measurements confirm its persistence.

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References (60)

  1. T. Aaltonen et al. (CDF Collaboration), Science 376, 170 (2022).
  2. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  3. V. Chekhovsky et al. (CMS Collaboration), arXiv:2412.13872.
  4. G. Aad et al. (ATLAS Collaboration), Eur. Phys. J. C 84, 1309 (2024).
  5. F. Pisano and V. Pleitez, Phys. Rev. D 46, 410 (1992).
  6. P. H. Frampton, Phys. Rev. Lett. 69, 2889 (1992).
  7. R. Foot, O. F. Hernandez, F. Pisano, and V. Pleitez, Phys. Rev. D 47, 4158 (1993).
  8. J. C. Montero, F. Pisano, and V. Pleitez, Phys. Rev. D 47, 2918 (1993).
  9. R. Foot, H. N. Long, and T. A. Tran, Phys. Rev. D 50, R34 (1994).
  10. C. A. de Sousa Pires and O. P. Ravinez, Phys. Rev. D 58, 035008 (1998).
  11. P. V. Dong and H. N. Long, Int. J. Mod. Phys. A 21, 6677 (2006).
  12. H. N. Long and V. T. Van, J. Phys. G 25, 2319 (1999).
  13. P. B. Pal, Phys. Rev. D 52, 1659 (1995).
  14. A. G. Dias and V. Pleitez, Phys. Rev. D 69, 077702 (2004).
  15. J. K. Mizukoshi, C. A. de S. Pires, F. S. Queiroz, and P. S. Rodrigues da Silva, Phys. Rev. D 83, 065024 (2011).
  16. H. N. Long and N. Q. Lan, Europhys. Lett. 64, 571 (2003).
  17. M. J. Neves, Mod. Phys. Lett. A 36, 2150057 (2021).
  18. A. J. Buras, F. De Fazio, and J. Girrbach-Noe, J. High Energy Phys. 08 (2014) 039.
  19. V. Oliveira and C. A. d. S. Pires, J. Phys. G 50, 115002 (2023).
  20. P. Escalona, J. P. Pinheiro, A. Doff, and C. A. de S. Pires, J. High Energy Phys. 07 (2025) 105.
  21. M. B. Tully and G. C. Joshi, Phys. Rev. D 64, 011301 (2001).
  22. A. Doff, J. P. Pinheiro, and C. A. de S. Pires, Phys. Lett. B 863, 139375 (2025).
  23. V. H. Binh, C. Bonilla, A. E. Cárcamo Hernández, D. T. Huong, V. K. N., H. N. Long, P. N. Thu, and I. Schmidt, Phys. Rev. D 110, 075022 (2024).
  24. D. T. Huong, P. V. Dong, C. S. Kim, and N. T. Thuy, Phys. Rev. D 91, 055023 (2015).
  25. P. Van Dong, D. T. Huong, D. A. Camargo, F. S. Queiroz, and J. W. F. Valle, Phys. Rev. D 99, 055040 (2019).
  26. P. V. Dong, D. Q. Phong, D. V. Soa, and N. C. Thao, Eur. Phys. J. C 78, 653 (2018).
  27. J. G. Ferreira, Jr, P. R. D. Pinheiro, C. A. d. S. Pires, and P. S. R. da Silva, Phys. Rev. D 84, 095019 (2011).
  28. P. V. Dong, H. N. Long, D. T. Nhung, and D. V. Soa, Phys. Rev. D 73, 035004 (2006).
  29. P. V. Dong, N. T. K. Ngan, and D. V. Soa, Phys. Rev. D 90, 075019 (2014).
  30. R. M. Fonseca and M. Hirsch, J. High Energy Phys. 08 (2016) 003.
  31. V. Pleitez and M. D. Tonasse, Phys. Rev. D 48, 2353 (1993).
  32. P. V. Dong, L. T. Hue, H. N. Long, and D. V. Soa, Phys. Rev. D 81, 053004 (2010).
  33. A. G. Dias, R. Martinez, and V. Pleitez, Eur. Phys. J. C 39, 101 (2005).
  34. A. G. Dias, Phys. Rev. D 71, 015009 (2005).
  35. A. Doff and C. A. de S. Pires, Nucl. Phys. B992, 116254 (2023).
  36. M. E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65, 964 (1990).
  37. M. E. Peskin and T. Takeuchi, Phys. Rev. D 46, 381 (1992).
  38. I. Maksymyk, C. P. Burgess, and D. London, Phys. Rev. D 50, 529 (1994).
  39. K. Sasaki, Phys. Lett. B 308, 297 (1993).
  40. P. H. Frampton and M. Harada, Phys. Rev. D 58, 095013 (1998).
  41. H. N. Long and T. Inami, Phys. Rev. D 61, 075002 (2000).
  42. M. C. Rodriguez, arXiv:2205.09109.
  43. D. Van Loi and P. Van Dong, Eur. Phys. J. C 83, 56 (2023).
  44. F. Staub, Comput. Phys. Commun. 181, 1077 (2010).
  45. F. Staub, Comput. Phys. Commun. 182, 808 (2011).
  46. F. Staub, Comput. Phys. Commun. 184, 1792 (2013).
  47. F. Staub, Comput. Phys. Commun. 185, 1773 (2014).
  48. F. Staub, Adv. High Energy Phys. 2015, 840780 (2015).
  49. W. Porod, Comput. Phys. Commun. 153, 275 (2003).
  50. F. Staub, T. Ohl, W. Porod, and C. Speckner, Comput. Phys. Commun. 183, 2165 (2012).
  51. Q. H. Cao, Y. Liu, K. P. Xie, B. Yan, and D. M. Zhang, Phys. Rev. D 93, 075030 (2016).
  52. G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 716, 1 (2012).
  53. S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 716, 30 (2012).
  54. D. C. Kennedy, B. W. Lynn, C. J. C. Im, and R. G. Stuart, Nucl. Phys. B321, 83 (1989).
  55. D. C. Kennedy and B. W. Lynn, Nucl. Phys. B322, 1 (1989).
  56. J. de Blas, M. Pierini, L. Reina, and L. Silvestrini, Phys. Rev. Lett. 129, 271801 (2022).
  57. S. Amoroso et al. (LHC-TeV MW Working Group), Eur. Phys. J. C 84, 451 (2024).
  58. Y. A. Coutinho, V. Salustino Guimarães, and A. A. Nepomuceno, Phys. Rev. D 87, 115014 (2013).
  59. A. Alves, L. Duarte, S. Kovalenko, Y. M. Oviedo-Torres, F. S. Queiroz, and Y. S. Villamizar, Phys. Rev. D 106, 055027 (2022).
  60. R. Calabrese, A. O. M. Iorio, S. Morisi, G. Ricciardi, and N. Vignaroli, Phys. Rev. D 109, 055030 (2024).

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Phys. Rev. D 112, 055029– Published 19 September, 2025
  • Received 29 July 2025
  • Accepted 28 August 2025
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