The The standard model-like higgs boson decay \(h \to Z\gamma\) in the 3-3-1 simple model
DOI:
https://doi.org/10.56764/hpu2.jos.2025.4.01.3-11Abstract
The exact one-loop contributions to the decay amplitudes of the Standard model-like Higgs boson decays \(h \to Z\gamma, \gamma \gamma,\) as predicted by the simple 3-3-1 model, are presented in terms of using the Passarino-Veltman notations. In the unitary gauge, all triple couplings related to the decay amplitudes are determined and LoopTools package has been applied to the numerical investigation. The result shows that the 3-3-1 simple model predicts the largest value \(\Delta_{\mu_{Z\gamma}}=\mu_{Z\gamma}-1\le 15.5\%\) which defines the signal strength of the decay channel \(h \to Z\gamma.\) This result is still outside the range of the recent experimental constraint of \(\Delta_{\mu_{Z\gamma}}\ge 50\%,\) therefore explaining why this signal is still invisible at LHC.
References
[1] P. Van Dong, N. T. K. Ngan, T. D. Tham, L. D. Thien and N. T. Thuy, “Phenomenology of the simple 3-3-1 model with inert scalars”, Phys. Rev. D, vol. 99, no. 9, Art. no. 095031, pp. 1–19, May 2019, doi: 10.1103/PhysRevD.99.095031.
[2] F. Pisano and V. Pleitez, “SU(3)⊗U(1) Model for Electroweak Interactions”, Phys. Rev. D, vol. 46, pp. 410–417, Jul. 1992, doi: 10.1103/PhysRevD.46.410.
[3] A. Tumasyan et al. [CMS], “Search for Higgs boson decays to a Z boson and a photon in proton-proton collisions at s√ = 13 TeV”, JHEP, vol. 05, Art. no. 233, pp. 1–49, May 2023, doi: 10.1007/JHEP05%282023%29233.
[4] G. Aad et al. [ATLAS and CMS], “ Evidence for the Higgs boson decay to a Z boson and a photon at the LHC”, Phys. Rev. Lett, vol. 132, no. 2, Art. no. 021803, pp. 1–32, Jan. 2024, doi: 10.1103/PhysRevLett.132.021803.
[5] M. Aaboud et al. [ATLAS], “Measurements of Higgs boson properties in the diphoton decay channel with 36 fb−1 of pp collision data at s√=13 TeV with the ATLAS detector”, Phys. Rev. D, vol. 98, Art. no. 052005, pp. 1–87, Sep. 2018, doi: 10.1103/PhysRevD.98.052005.
[6] L. T. Hue, A. B. Arbuzov, T. T. Hong, T. P. Nguyen, D. T. Si and H. N. Long, “ General one-loop formulas for decay h→Zγ”, Eur. Phys. J. C, vol. 78, no. 11, Art. no. 885, pp. 1–17, Oct. 2018, doi: 10.1140/epjc/s10052-018-6349-0.
[7] L. T. Hue, H. N. Long, V. H. Binh, H. L. T. Mai and T. P. Nguyen, “One-loop contributions to decays eb→eaγ and (g−2)ea anomalies, and Ward identity”, Nucl. Phys. B, vol. 992, Art. no. 116244, pp. 1–37, May 2023, doi: 10.1016/j.nuclphysb.2023.116244.
[8] L. Lavoura, “General formulae for f1 --> f2 gamma”, Eur. Phys. J. C, vol. 29, pp. 191–195, Jul. 2023, doi: 10.1140/epjc/s2003-01212-7.
[9] H. N. Long and D. Van Soa, “Trilinear gauge boson couplings and bilepton production in the SU(3)C⊗SU(3)L⊗U(1)N models”, Nucl. Phys. B, vol. 601, pp. 361–379, May 2001, doi: 10.1016/S0550-3213(01)00088-8.
[10] D. T. Binh, D. T. Huong, T. T. Huong, H. N. Long and D. V. Soa, “Quartic Gauge Boson Couplings and Tree Unitarity in the SU(3)_C X SU(3)_L X U(1)_N Models”, J. Phys. G, vol. 29, pp. 1213–1226, Jun. 2003, doi: 10.1088/0954-3899/29/6/319.
[11] Le Tho Hue, Trinh Thi Hong, Pham Thi Bich, Nguyen Thi Kim Ngan, “Self-Couplings Of Gauge Bosons In 3-3-1 Models”, Vinh Uni. J. Sci., vol. 52 (2A), pp. 46–58, May 2023, doi: 10.56824/vujs.2023a008.
[12] J. F. Gunion, H. E. Haber, G. L. Kane and S. Dawson, “The Higgs Hunter’s Guide”, Front. Phys, vol. 80, 2000, pp. 1–404, doi: 10.1201/9780429496448. https://doi.org/10.1201/9780429496448.
[13] A. Djouadi, V. Driesen, W. Hollik and A. Kraft, “The Higgs - photon - Z boson coupling revisited”, Eur. Phys. J. C, vol. 1, pp. 163–175, Feb. 2005, doi: 10.1007/BF01245806.
[14] V. Ilisie and A. Pich, “Low-mass fermiophobic charged Higgs phenomenology in two-Higgs-doublet models”, JHEP, vol. 2014, Art. no. 098, pp. 1–32, Sep. 2014, doi: 10.1007/JHEP09%282014%29089.
[15] C. Degrande, K. Hartling and H. E. Logan, “Scalar decays to γγ, Zγ, and Wγ in the Georgi-Machacek model”, Phys. Rev. D, vol. 96, no. 7, Art. no. 075013, pp. 1–20, Oct. 2017, doi: 10.1103/PhysRevD.96.075013.
[16] H. T. Hung, T. T. Hong, H. H. Phuong, H. L. T. Mai and L. T. Hue, “Neutral Higgs decays H→Zγ,γγ in 3-3-1 models”, Phys. Rev. D, vol. 100, no. 7, Art. no. 075014, pp. 1–23, Oct. 2019, doi: 10.1103/PhysRevD.100.075014.
[17] G. Passarino and M. J. G. Veltman, “One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model”, Nucl. Phys. B, vol. 160, no. 1, pp. 151–207, Nov. 1979, doi: 10.1016/0550-3213(79)90234-7.
[18] T. Hahn and M. Perez-Victoria, “Automatized One-Loop Calculations in 4 and D dimensions”, Comput. Phys. Commun., vol. 118, no. 2-3, pp. 153–165, May 1999, doi: 10.1016/S0010-4655%2898%2900173-8.
[19] P. S. Bhupal Dev, D. K. Ghosh, N. Okada and I. Saha, “125 GeV Higgs Boson and the Type-II Seesaw Model”, JHEP, Vol. 2013, Art. no. 150, pp. 1–31, Mar. 2013, doi: 10.1007/JHEP03%282013%29150. [erratum: JHEP, Vol. 2013, Art. no. 049, May 2013, doi: 10.1007/JHEP05%282013%29049].
[20] F. Arbabifar, S. Bahrami and M. Frank, “Neutral Higgs Bosons in the Higgs Triplet Model with nontrivial mixing”, Phys. Rev. D, vol. 87, no. 1, Art. no. 015020, pp. 1–15, Jan. 2013, doi: 10.1103/PhysRevD.87.015020.
[21] M. Chabab, M. C. Peyranere and L. Rahili, “Degenerate Higgs bosons decays to γγ and Zγ in the type II Seesaw Model”, Phys. Rev. D, vol. 90, no. 3, Art. no. 035026, pp. 1–12 Aug. 2014, doi: 10.1103/PhysRevD.90.035026.
[22] C. X. Yue, Q. Y. Shi and T. Hua, “Vector bileptons and the decays h→γγ,Zγ”, Nucl. Phys. B, vol. 876, no. 3, pp. 747–757, Nov. 2013, doi: 10.1016/j.nuclphysb.2013.09.004.
[23] R. L. Workman et al. [Particle Data Group], “Review of Particle Physics”, PTEP, vol. 2022, no. 8, Art. no. 083C01, Aug. 2022, doi:10.1093/ptep/ptac097.
Downloads
Published
How to Cite
Volume and Issue
Section
Copyright and License
Copyright (c) 2025 Tho-Hue Le , Hong-Khiem Phan , Thi-Hong Trinh , Thanh-Tuyen Ha , Khanh-Ngan Nguyen , Kim-Ngan Nguyen Thi
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
