The Scalar Sector in the Georgi–Machacek Model
DOI:
https://doi.org/10.15407/ujpe71.2.138Keywords:
GM model, Higgs, 95 GeV excess, strength modifiersAbstract
The Georgi–Machacek (GM) model extends the Standard Model (SM) Higgs sector by adding one complex and one real scalar triplet, while preserving a custodial SU(2)V symmetry. This setup predicts a rich scalar spectrum including a quintet, a triplet, and two CP-even singlets. In this article, we review the model structure, its mass spectrum, and the theoretical and experimental constraints from perturbativity, vacuum stability, electroweak precision tests, Higgs measurements, and direct searches at colliders in both cases where the SM-like Higgs should be the light or heavy CP-even eigenstate. We also discuss the model’s capability to explain the 95 GeV excess reported in γγ, ττ and b¯b channels, by assuming two degenerate (CP-even and CP-odd) resonances. We demonstrate that the nature of the 95 GeV scalar resonance candidate can be probed via the properties of its di-τ decay.
References
1. G. Aad et al. [ATLAS]. Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC. Phys. Lett. B 716, 1 (2012). arXiv: 1207.7214 [hep-ex].
2. S. Chatrchyan et al. [CMS]. Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC. Phys. Lett. 716, 30 (2012). arXiv: 1207.7235 [hep-ex].
3. G. Aad et al. [ATLAS]. Search for heavy resonances decaying into a pair of Z bosons in the ℓ'+ℓ'−ℓ'+ℓ′− and ℓ+ℓ− vv final states using 139 fb−1 of. Eur. Phys. J. C 81 (4), 332 (2021). arXiv: 2009.14791 [hep-ex].
4. A.M. Sirunyan et al. [CMS]. Search for additional neutral MSSM Higgs bosons in the ττ final state in proton-proton collisions at √s = 13 TeV. JHEP 09, 007 (2018). arXiv: 1803.06553 [hep-ex].
5. T. Biekoetter, S. Heinemeyer. 95.4 GeV diphoton excess at ATLAS and CMS. Phys. Rev. D 109 (3), 3 (2024). arXiv: 2306.03889 [hep-ph].
https://doi.org/10.1103/PhysRevD.109.035005
6. A.M. Sirunyan et al. [CMS]. Search for a standard modellike Higgs boson in the mass range between 70 and 110
GeV in the diphoton final state in proton-proton collisions at √s = 8 and 13 TeV. Phys. Lett. 793, 320 (2019). arXiv: 1811.08459 [hep-ex].
7. [ATLAS]. "Search for resonances in the 65 to 110 GeV diphoton invariant mass range using 80 fb−1 of pp collisions collected at √s = 13 TeV with the ATLAS detector". ATLAS-CONF-2018-025.
8. [ATLAS]. "Search for boosted diphoton resonances in the 10 to 70 GeV mass range using 138 fb−1 of 13 TeV pp collisions with the ATLAS detector." ATLAS-CONF-2022-018.
9. [CMS]. Searches for additional Higgs bosons and for vector leptoquarks in ττ final states in proton-proton collisions at √s = 13 TeV. arXiv: 2208.02717 [hep-ex].
10. R. Barate et al. [LEP Working Group for Higgs boson searches, ALEPH, DELPHI, L3 and OPAL]. Search for the standard model Higgs boson at LEP. Phys. Lett. B 565, 61 (2003). arXiv: hep-ex/0306033 [hep-ex].
https://doi.org/10.1016/S0370-2693(03)00614-2
11. H. Georgi, M. Machacek. Doubly charged higgs bosons. Nucl. Phys. B 262, 463 (1985).
https://doi.org/10.1016/0550-3213(85)90325-6
12. M.S. Chanowitz, M. Golden. Higgs boson triplets with M (W) = M (Z) cos θω. Phys. Lett. B 165, 105 (1985).
https://doi.org/10.1016/0370-2693(85)90700-2
13. J. F. Gunion, R. Vega, J. Wudka. Higgs triplets in the standard model. Phys. Rev. D 42, 1673 (1990).
https://doi.org/10.1103/PhysRevD.42.1673
14. K. Hartling, K. Kumar, H.E. Logan. Indirect constraints on the Georgi-Machacek model and implications for Higgs boson couplings. Phys. Rev. D 91 (1), 015013 (2015). arXiv: 1410.5538 [hep-ph].
https://doi.org/10.1103/PhysRevD.91.015013
15. C.W. Chiang, K. Tsumura. Properties and searches of the exotic neutral Higgs bosons in the Georgi-Machacek model. JHEP 04, 113 (2015). arXiv: 1501.04257 [hep-ph].
https://doi.org/10.1007/JHEP04(2015)113
16. A. Ismail, H.E. Logan, Y. Wu. Updated constraints on the Georgi-Machacek model from LHC Run 2. arXiv: 2003.02272 [hep-ph].
17. A. Ahriche. Constraining the Georgi-Machacek model with a light Higgs boson. Phys. Rev. D 107 (1), 015006 (2023). Erratum Phys. Rev. D 108, 019902 (2023. arXiv: 2212.11579 [hep-ph].
https://doi.org/10.1103/PhysRevD.108.019902
18. Z. Bairi, A. Ahriche. More constraints on the Georgi-Machacek model. Phys. Rev. D 108 (5), 5 (2023). arXiv: 2207.00142 [hep-ph].
https://doi.org/10.1103/PhysRevD.108.055028
19. G. Abbiendi et al. [OPAL]. Decay mode independent searches for new scalar bosons with the OPAL detector at LEP. Eur. Phys. J. C 27, 311 (2003). arXiv: hepex/0206022 [hep-ex].
https://doi.org/10.1140/epjc/s2002-01115-1
20. S. Navas et al. [Particle Data Group]. Review of particle physics. Phys. Rev. D 110 (3), 030001 (2024).
21. A.M. Sirunyan et al. [CMS]. Observation of electroweak production of same-sign W boson pairs in the two jet and two same-sign lepton final state in proton-proton collisions at √s = 13 TeV. Phys. Rev. Lett. 120 (8), 081801 (2018). arXiv: 1709.05822 [hep-ex].
22. G. Aad et al. [ATLAS]. Search for scalar diphoton resonances in the mass range 65-600 GeV with the ATLAS detector in pp collision data at √s = 8 TeV. Phys. Rev. Lett. 113 (17), 171801 (2014). arXiv: 1407.6583 [hep-ex].
23. M. Aaboud et al. [ATLAS]. Search for new phenomena in high-mass diphoton final states using 37 fb−1 of proton-proton collisions collected at √s = 13 TeV with the ATLAS detector. Phys. Lett. B 775, 105 (2017). arXiv: 1707.04147 [hep-ex].
24. M. Misiak, H.M. Asatrian, K. Bieri, M. Czakon, A. Czarnecki, T. Ewerth, A. Ferroglia, P. Gambino, M. Gorbahn, C. Greub et al. Estimate of B(¯B → Xsγ) at 0(α2s). Phys. Rev. Lett. 98, 022002 (2007). arXiv: hep-ph/0609232 [hep-ph].
https://doi.org/10.1103/PhysRevLett.98.022002
25. T. Becher, M. Neubert. Analysis of B(¯B → Xsγ) at NNLO with a cut on photon energy. Phys. Rev. Lett. 98, 022003 (2007). arXiv: hep-ph/0610067 [hep-ph].
https://doi.org/10.1103/PhysRevLett.98.022003
26. C. Arcangeletti. ATLAS, LHC Seminar, https://indico.cern.ch/event/1281604/indico.cern.ch/event/1281604, 2023.
27. A. Azatov, R. Contino, J. Galloway. Model-independent bounds on a light higgs. JHEP 04, 127 (2012). [erratum: JHEP 04, 140 (2013)]. arXiv: 1202.3415 [hep-ph].
https://doi.org/10.1007/JHEP04(2012)127
28. J. Cao, X. Guo, Y. He, P. Wu, Y. Zhang. Diphoton signal of the light Higgs boson in natural NMSSM. Phys. Rev. D 95 (11), 116001 (2017). arXiv: 1612.08522 [hep-ph].
https://doi.org/10.1103/PhysRevD.95.116001
29. J.H. Kuhn, F. Wagner. Semileptonic decays of the tau lepton. Nucl. Phys. B 236, 16 (1984).
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