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Rare Higgs boson decay into a photon and a Z boson in radiatively driven natural supersymmetry

E. A. Reyes R.*, C. A. Lopez A., and O. R. Torrijo G.

D. G. Melo P.

  • *Contact author: edilson.reyes@unipamplona.edu.co
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Phys. Rev. D 112, 095012 – Published 12 November, 2025

DOI: https://doi.org/10.1103/q9j9-2zkq

Abstract

In this article, we study the rare decay process in which a Higgs boson decays into a Z boson and a photon. In the first part of the paper, we analyze the Standard Model (SM) contributions to the corresponding decay width, including the full leading-order result, two-loop O(αs) QCD corrections, and the recently reported two-loop O(α) electroweak corrections, evaluated under four different α renormalization schemes. The dependence on the Higgs boson mass is studied within the experimentally allowed range reported by the LHC. In the considered schemes, a non-negligible variation of about 4% is found when the mass is varied within its current experimental uncertainty. In the second part of the paper, we analyze the leading-order contributions to the same process within the minimal supersymmetric Standard Model (MSSM). The spectrum of soft SUSY-breaking parameters and SUSY particle masses at the electroweak scale, which enter the computation of the one-loop amplitudes contributing to the decay width, is obtained by evolving the grand unified theory (GUT)-scale parameters of a radiatively driven natural supersymmetry (RNS) model with nonuniversal Higgs boson masses. Variations of the RNS parameters can enhance the average SM prediction by up to ∼20%, reaching a value of ∼7.5  keV, while still satisfying the Higgs boson mass constraint. However, this comes at the cost of allowing a moderately large fine-tuning parameter, with values exceeding 100, thereby placing the model outside its most natural parameter region. The predicted decay width in the RNS scenario is closer to the recent ATLAS RUN 2+3 combined measurement than the average SM expectation.

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References (81)

  1. B. Abi et al. (Muon g-2 Collaboration), Phys. Rev. Lett. 126, 141801 (2021).
  2. CDF Collaboration, Science 376, 170 (2022).
  3. CMS Collaboration, CERN Report No. CERN-EP-2024-308, 2024, arXiv:2412.13872.
  4. G. Aad et al. (ATLAS Collaboration and CMS Collaboration), Phys. Rev. Lett. 132, 021803 (2024).
  5. ATLAS Collaboration, CERN Report No. CERN-EP-2025-155, 2025, arXiv:2507.12598.
  6. ATLAS Collaboration and CMS Collaboration, Reports No. ATL-PHYS-PUB-2025-018, No. CMS-HIG-25-002, 2025, arXiv:2504.00672.
  7. S. Kuberski, Proc. Sci. LATTICE2023 (2024) 125 [arXiv:2312.13753].
  8. A. Boccaletti, S. Borsanyi, M. Davier et al., arXiv:2407.10913.
  9. J. Bijnens, N. H. Truedsson, and A. R. Sánchez, J. High Energy Phys. 03 (2025) 094.
  10. D. G. Melo., E. A. Reyes., and A. R. Fazio, Particles 7, 327 (2024).
  11. T. Aoyama et al., Phys. Rep. 887, 1 (2020).
  12. M. Davier, A. Hoecker, A. M. Lutz, B. Malaescu, and Z. Zhang, Eur. Phys. J. C 84, 721 (2024).
  13. J. Ellis, K. A. Olive, and V. C. Spanos, Eur. Phys. J. C 84, 1121 (2024).
  14. G. Aad et al. (ATLAS Collaboration), Eur. Phys. J. C 80, 123 (2020).
  15. A. M. Sirunyan et al. (CMS Collaboration), J. High Energy Phys. 04 (2021) 123.
  16. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  17. R. Aliberti et al., Phys. Rep. 1143, 1 (2025).
  18. D. P. Aguillard et al., Phys. Rev. Lett. 135, 101802 (2025).
  19. S. Heinemeyer, W. Hollik, D. Stockinger, A. M. Weber, and G. Weiglein, J. High Energy Phys. 08 (2006) 052.
  20. S. Heinemeyer, W. Hollik, A. M. Weber, and G. Weiglein, J. High Energy Phys. 04 (2008) 039.
  21. S. Heinemeyer, W. Hollik, G. Weiglein, and L. Zeune, J. High Energy Phys. 12 (2013) 084.
  22. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  23. E. Aprile et al. (XENON Collaboration), Phys. Rev. Lett. 121, 111302 (2018).
  24. D. S. Akerib et al. (LUX Collaboration), Phys. Rev. Lett. 118, 021303 (2017).
  25. X. Cui et al. (PandaX-II Collaboration), Phys. Rev. Lett. 119, 181302 (2017).
  26. ATLAS Collaboration and CMS Collaboration, J. High Energy Phys. 08 (2016) 045.
  27. E. Bagnaschi, M. Chakraborti, S. Heinemeyer, I. Saha, and G. Weiglein, Eur. Phys. J. C 82, 474 (2022).
  28. P. Azzi et al., arXiv:1208.1662.
  29. A. Freitas et al., arXiv:1906.05379.
  30. S. Heinemeyer, S. Jadach, and J. Reuter, Eur. Phys. J. Plus 136, 911 (2021).
  31. Georges Aad et al. (ATLAS Collaboration), Phys. Lett. B 847, 138315 (2023).
  32. A. Hayrapetyan et al. (CMS Collaboration), Phys. Rev. D 111, 092014 (2025).
  33. S. P. Martin, Phys. Rev. D 106, 013007 (2022).
  34. E. A. Reyes R. and A. R. Fazio, Phys. Rev. D 108, 053007 (2023).
  35. J. Haller, A. Hoecker, R. Kogler, K. Mönig, T. Peiffer, and J. Stelzer, Eur. Phys. J. C 78, 675 (2018).
  36. G. Passarino, Phys. Lett. B 727, 424 (2013).
  37. E. A. Reyes R., C. A. Lopez A., O. R. Torrijo G., and D. G. Melo P., Ancillary files for “Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry” (2025), https://github.com/fisicateoricaUDP/HiggsDecays.git.
  38. M. Spira, A. Djouadi, and P. M. Zerwas, Phys. Lett. B 276, 350 (1992).
  39. T. Gehrmann, S. Guns, and D. Kara, J. High Energy Phys. 09 (2015) 038.
  40. R. N. Cahn, M. S. Chanowitz, and N. Fleishon, Phys. Lett. 82B, 113 (1979).
  41. I. Boradjiev, E. Christova, and H. Eberl, Phys. Rev. D 97, 073008 (2018).
  42. M. Herrero and R. A. Morales, Phys. Rev. D 102, 075040 (2020).
  43. K. Melnikov and A. Vainshtein, Phys. Rev. D 93, 053015 (2016).
  44. Tai Tsun Wu and Sau Lan Wu, Nucl. Phys. B914, 421 (2017).
  45. V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun. 256, 107478 (2020).
  46. R. Mertig, M. Bohm, and A. Denner, Comput. Phys. Commun. 64, 345 (1991).
  47. T. Hahn, Comput. Phys. Commun. 140, 418 (2001).
  48. V. Shtabovenko, Comput. Phys. Commun. 218, 48 (2017).
  49. H. H. Patel, Comput. Phys. Commun. 197, 276 (2015).
  50. A. Djouadi, V. Driesen, and W. Hollik, Eur. Phys. J. C 1, 163 (1998).
  51. H. M. Fried and D. R. Yennie, Phys. Rev. 112, 1391 (1958).
  52. L. T. Hue, A. B. Arbuzov, T. T. Hong, T. P. Nguyen, D. T. Si, and H. N. Long, Eur. Phys. J. C 78, 885 (2018).
  53. L. Bergstrom and G. Hulth, Nucl. Phys. B259, 137 (1985); B276, 744(E) (1986).
  54. J. F. Gunion, H. E. Haber, G. L. Kane, and S. Dawson, Front. Phys. 80, 1 (2000).
  55. F. Buccioni, F. Devoto, A. Djouadi, J. Ellis, J. Quevillon, and L. Tancredi, Phys. Lett. B 851, 138596 (2024).
  56. Zi-Qiang Chen, Long-Bin Chen, Cong-Feng Qiao, and Ruilin Zhu, Phys. Rev. D 110, L051301 (2024).
  57. Wen-Long Sang, Feng Feng, and Yu Jia, Phys. Rev. D 110, L051302 (2024).
  58. A. Tumasyan et al. (CMS Collaboration), J. High Energy Phys. 05 (2023) 233.
  59. N. Das, T. Jha, and D. Nanda, Phys. Rev. D 109, 115020 (2024).
  60. F. Chen, Q. Wen, and F. Xu, arXiv:2412.18540.
  61. A. Hernandez-Juarez, R. Gaitan, and R. Martinez, Phys. Rev. D 111, 015001 (2025).
  62. J. Cao, L. Wu, P. Wu, and J. M. Yang, J. High Energy Phys. 09 (2013) 043.
  63. P. Fayet, Nucl. Phys. B90, 104 (1975); Phys. Lett. 64B, 159 (1976); 69B, 489 (1977); 84B, 416 (1979).
  64. K. Inoue, A. Komatsu, and S. Takeshita, Prog. Theor. Phys. 68, 927 (1982); 70, 330(E) (1983).
  65. S. Israr and M. Rehman, Eur. Phys. J. Plus 140, 397 (2025).
  66. H. Baer, V. Barger, P. Huang, A. Mustafayev, and X. Tata, Phys. Rev. Lett. 109, 161802 (2012).
  67. H. Baer, V. Barger, P. Huang, D. Mickelson, A. Mustafayev, and X. Tata, Phys. Rev. D 87, 115028 (2013).
  68. U. Ellwanger, C. Hugonie, and A. M. Teixeira, Phys. Rep. 496, 1 (2010).
  69. G. L. Kane, C. F. Kolda, L. Roszkowski, and J. D. Wells, Phys. Rev. D 49, 6173 (1994).
  70. M. Maniatis, Int. J. Mod. Phys. A 25, 3505 (2010).
  71. A. Hammad, S. Khalil, and S. Moretti, Phys. Rev. D 92, 095008 (2015).
  72. C. X. Liu, H. B. Zhang, J. L. Yang, S. M. Zhao, Y. B. Liu, and T. F. Feng, J. High Energy Phys. 04 (2020) 002.
  73. H. Baer, V. Barger, P. Huang, and X. Tata, J. High Energy Phys. 05 (2012) 109.
  74. P. Slavich et al., Eur. Phys. J. C 81, 450 (2021).
  75. E. A. Reyes R. and A. R. Fazio, Particles 5, 53 (2022).
  76. H. Baer, J. Ferrandis, S. Kraml, and W. Porod, Phys. Rev. D 73, 015010 (2006).
  77. H. Baer, F. Paige, S. Protopopescu, and X. Tata, arXiv:hep-ph/0312045.
  78. H. Bahl, T. Hahn, S. Heinemeyer, W. Hollik, S. Paßehr, H. Rzehak, and G. Weiglein, Comput. Phys. Commun. 249, 107099 (2020).
  79. H. Baer, V. Barger, J. Bolich, and K. Zhang, Phys. Rev. D 111, 095019 (2025).
  80. D. M. Asner, T. Barklow, C. Calancha, K. Fujii, N. Graf, H. E. Haber, A. Ishikawa, S. Kanemura, S. Kawada, M. Kurata et al., arXiv:1310.0763.
  81. A, Abada, M. Abbrescia, S. S. Abdus Salam et al., Eur. Phys. J. Special Topics 228, 261 (2019).

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Phys. Rev. D 112, 095012– Published 12 November, 2025
  • Received 25 July 2025
  • Accepted 22 October 2025
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