- Open Access
Real singlet scalar benchmarks in the multi-TeV resonance regime
Phys. Rev. D 112, 095024 – Published 17 November, 2025
DOI: https://doi.org/10.1103/n5rt-jvg3
Abstract
Scalar extensions of the Standard Model (SM) are of much interest at the Large Hadron Collider (LHC) and future colliders. In particular, these models can give rise to resonant di-Higgs production and alter the Higgs trilinear coupling. In this paper, we study di-Higgs production in the Standard Model extended by a real scalar singlet with no additional symmetries. We determine how large the resonant di-Higgs rate and variation in the Higgs trilinear coupling can be in four scenarios: current LHC results and projected results at the high luminosity LHC (HL-LHC), the HL-LHC combined with a circular collider such as the Circular Electron Positron Collider or Future Circular Collider with electron-positron collisions, and the HL-LHC combined with a linear collider such as the International Linear Collider. While these are updated results from a previous study by [I. M. Lewis and M. Sullivan, Benchmarks for double Higgs production in the singlet extended standard model at the LHC, Phys. Rev. D 96, 035037 (2017).] using current LHC data, we go further and find benchmark points in the multi-TeV resonance regime for future colliders beyond the HL-LHC. Considering current LHC results, the resonant di-Higgs rate can still be an order of magnitude larger than the SM predicted di-Higgs rate. In the HL-LHC scenario, the Higgs trilinear coupling can still be a factor of three larger than the SM prediction for resonance masses in the 1.5–3.5 TeV range, where resonant searches may have less reach. This enhancement is just at the projected sensitivity of the HL-LHC. We find there are resonance masses for which the change in the Higgs trilinear is maximized while the resonant rate is negligible. We provide an analytical understanding of these effects with a discussion on the interplay of various constraints on the parameter space and the Higgs trilinear coupling.
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References (73)
- S. Dawson et al., Report of the topical group on Higgs physics for Snowmass 2021: The case for precision Higgs physics, in Snowmass 2021 (2022), arXiv:2209.07510.
- R. K. Ellis et al., Physics briefing book: Input for the European strategy for particle physics update 2020, arXiv:1910.11775.
- B. D. Micco, M. Gouzevitch, J. Mazzitelli, and C. Vernieri, Higgs boson potential at colliders: Status and perspectives, Rev. Phys. 5, 100045 (2020).
- ATLAS Collaboration, Projected sensitivity of Higgs boson pair production combining the and final states with the ATLAS detector at the HL-LHC, Tech. Report No. ATL-PHYS-PUB-2022-005, CERN, Geneva, 2022.
- I. M. Lewis and M. Sullivan, Benchmarks for double Higgs production in the singlet extended standard model at the LHC, Phys. Rev. D 96, 035037 (2017).
- V. Silveira and A. Zee, Scalar phantoms, Phys. Lett. 161B, 136 (1985).
- D. O’Connell, M. J. Ramsey-Musolf, and M. B. Wise, Minimal extension of the standard model scalar sector, Phys. Rev. D 75, 037701 (2007).
- V. Barger, P. Langacker, M. McCaskey, M. J. Ramsey-Musolf, and G. Shaughnessy, LHC phenomenology of an extended standard model with a real scalar singlet, Phys. Rev. D 77, 035005 (2008).
- M. Bowen, Y. Cui, and J. D. Wells, Narrow trans-TeV Higgs bosons and decays: Two LHC search paths for a hidden sector Higgs boson, J. High Energy Phys. 03 (2007) 036.
- J. M. No and M. Ramsey-Musolf, Probing the Higgs portal at the LHC through resonant di-Higgs production, Phys. Rev. D 89, 095031 (2014).
- G. M. Pruna and T. Robens, Higgs singlet extension parameter space in the light of the LHC discovery, Phys. Rev. D 88, 115012 (2013).
- S. Profumo, M. J. Ramsey-Musolf, C. L. Wainwright, and P. Winslow, Singlet-catalyzed electroweak phase transitions and precision Higgs boson studies, Phys. Rev. D 91, 035018 (2015).
- C.-Y. Chen, S. Dawson, and I. M. Lewis, Exploring resonant di-Higgs boson production in the Higgs singlet model, Phys. Rev. D 91, 035015 (2015).
- S. Dawson and I. M. Lewis, NLO corrections to double Higgs boson production in the Higgs singlet model, Phys. Rev. D 92, 094023 (2015).
- D. Buttazzo, F. Sala, and A. Tesi, Singlet-like Higgs bosons at present and future colliders, J. High Energy Phys. 11 (2015) 158.
- T. Robens and T. Stefaniak, Status of the Higgs singlet extension of the standard model after LHC run 1, Eur. Phys. J. C 75, 104 (2015).
- T. Robens and T. Stefaniak, LHC benchmark scenarios for the real Higgs singlet extension of the standard model, Eur. Phys. J. C 76, 268 (2016).
- L. Di Luzio, R. Gröber, and M. Spannowsky, Maxi-sizing the trilinear Higgs self-coupling: how large could it be?, Eur. Phys. J. C 77, 788 (2017).
- T. Huang, J. M. No, L. Pernié, M. Ramsey-Musolf, A. Safonov, M. Spannowsky, and P. Winslow, Resonant di-Higgs boson production in the channel: Probing the electroweak phase transition at the LHC, Phys. Rev. D 96, 035007 (2017).
- S. Dawson, C. Englert, and T. Plehn, Higgs physics: It ain’t over till it’s over, Phys. Rep. 816, 1 (2019).
- H.-L. Li, M. Ramsey-Musolf, and S. Willocq, Probing a scalar singlet-catalyzed electroweak phase transition with resonant di-Higgs boson production in the channel, Phys. Rev. D 100, 075035 (2019).
- A. Alves, D. Gonçalves, T. Ghosh, H.-K. Guo, and K. Sinha, Di-Higgs blind spots in gravitational wave signals, Phys. Lett. B 818, 136377 (2021).
- S. Dawson, S. Homiller, and S. D. Lane, Putting standard model EFT fits to work, Phys. Rev. D 102, 055012 (2020).
- S. Adhikari, I. M. Lewis, and M. Sullivan, Beyond the standard model effective field theory: The singlet extended standard model, Phys. Rev. D 103, 075027 (2021).
- T. Cohen, N. Craig, X. Lu, and D. Sutherland, Is SMEFT enough?, J. High Energy Phys. 03 (2021) 237.
- S. Dawson, P. P. Giardino, and S. Homiller, Uncovering the high scale Higgs singlet model, Phys. Rev. D 103, 075016 (2021).
- A. Hammad, S. Moretti, and M. Nojiri, Multi-scale cross-attention transformer encoder for event classification, J. High Energy Phys. 03 (2024) 144.
- F. Feuerstake, E. Fuchs, T. Robens, and D. Winterbottom, Interference effects in resonant di-Higgs production at the LHC in the Higgs singlet extension, J. High Energy Phys. 04 (2025) 094.
- D. Gonçalves, A. Kaladharan, and Y. Wu, Primordial black holes from first-order phase transition in the xSM, Phys. Rev. D 111, 035009 (2025).
- S. Profumo, M. J. Ramsey-Musolf, and G. Shaughnessy, Singlet Higgs phenomenology and the electroweak phase transition, J. High Energy Phys. 08 (2007) 010.
- A. V. Kotwal, M. J. Ramsey-Musolf, J. M. No, and P. Winslow, Singlet-catalyzed electroweak phase transitions in the 100 TeV frontier, Phys. Rev. D 94, 035022 (2016).
- A. Papaefstathiou and G. White, The electro-weak phase transition at colliders: Confronting theoretical uncertainties and complementary channels, J. High Energy Phys. 05 (2021) 099.
- A. Papaefstathiou and G. White, The electro-weak phase transition at colliders: Discovery post-mortem, J. High Energy Phys. 02 (2022) 185.
- J. R. Espinosa, T. Konstandin, and F. Riva, Strong electroweak phase transitions in the standard model with a singlet, Nucl. Phys. B854, 592 (2012).
- D. Curtin, P. Meade, and C.-T. Yu, Testing Electroweak baryogenesis with future colliders, J. High Energy Phys. 11 (2014) 127.
- V. Vaskonen, Electroweak baryogenesis and gravitational waves from a real scalar singlet, Phys. Rev. D 95, 123515 (2017).
- P. Huang, A. J. Long, and L.-T. Wang, Probing the electroweak phase transition with Higgs factories and gravitational waves, Phys. Rev. D 94, 075008 (2016).
- A. Beniwal, M. Lewicki, J. D. Wells, M. White, and A. G. Williams, Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis, J. High Energy Phys. 08 (2017) 108.
- G. Kurup and M. Perelstein, Dynamics of electroweak phase transition in singlet-scalar extension of the standard model, Phys. Rev. D 96, 015036 (2017).
- C.-Y. Chen, J. Kozaczuk, and I. M. Lewis, Non-resonant collider signatures of a singlet-driven electroweak phase transition, J. High Energy Phys. 08 (2017) 096.
- A. Beniwal, M. Lewicki, M. White, and A. G. Williams, Gravitational waves and electroweak baryogenesis in a global study of the extended scalar singlet model, J. High Energy Phys. 02 (2019) 183.
- K. Ghorbani and P. H. Ghorbani, Strongly first-order phase transition in real singlet scalar dark matter model, J. Phys. G 47, 015201 (2020).
- A. Mazumdar and G. White, Review of cosmic phase transitions: Their significance and experimental signatures, Rep. Prog. Phys. 82, 076901 (2019).
- P. Ghorbani, Vacuum structure and electroweak phase transition in singlet scalar dark matter, Phys. Dark Universe 33, 100861 (2021).
- S. D. Lane, I. M. Lewis, and M. Sullivan, Resonant multiscalar production in the generic complex singlet model in the multi-TeV region, Phys. Rev. D 110, 055017 (2024).
- T. Behnke, J. E. Brau, B. Foster, J. Fuster, M. Harrison, J. M. Paterson, M. Peskin, M. Stanitzki, N. Walker, and H. YamamotoThe International Linear Collider technical design report—Volume 1: Executive summary, arXiv:1306.6327.
- ILC Collaboration, The International Linear Collider technical design report—Volume 2: Physics, arXiv:1306.6352.
- C. Adolphsen, M. Barone, B. Barish et al. (CEPC Study Group Collaboration)The International Linear Collider technical design report—Volume 3.I: Accelerator & in the technical design phase, arXiv:1306.6353.
- CEPC Study Group Collaboration, CEPC conceptual design report: Volume 1—Accelerator, arXiv:1809.00285.
- M. Dong et al. (CEPC Study Group Collaboration), CEPC conceptual design report: Volume 2—Physics & detector, arXiv:1811.10545.
- A. Abada et al. (FCC Collaboration), FCC-ee: The lepton collider: Future circular collider conceptual design report volume 2, Eur. Phys. J. Special Topics 228, 261 (2019).
- J. Tang et al., Concept for a future super proton-proton collider, arXiv:1507.03224.
- M. Ahmad et al., CEPC-SPPC preliminary conceptual design report. 1. Physics and detector, Tech. Report Nos. IHEP-CEPC-DR-2015-01, IHEP-TH-2015-01, IHEP-EP-2015-01, Institute of High Energy Physics, 2015.
- A. Abada et al. (FCC Collaboration), FCC-hh: The hadron collider: Future circular collider conceptual design report Volume 3, Eur. Phys. J. Special Topics 228, 755 (2019).
- R. B. Palmer et al., Muon colliders, AIP Conf. Proc. 372, 3 (1996).
- J. P. Delahaye, M. Diemoz, K. Long, B. Mansoulié, N. Pastrone, L. Rivkin, D. Schulte, A. Skrinsky, and A. Wulzer, Muon colliders, arXiv:1901.06150.
- K. M. Black et al., Muon collider forum report, J. Instrum. 19, T02015 (2024).
- J. de Blas et al. (Muon Collider Collaboration), The physics case of a 3 TeV muon collider stage, arXiv:2203.07261.
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- A. Schuessler and D. Zeppenfeld, Unitarity constraints on MSSM trilinear couplings, in Proceedings of the 15th International Conference on Supersymmetry and the Unification of Fundamental Interactions (SUSY07) (2007), pp. 236–239, arXiv:0710.5175.
- P. Bechtle, O. Brein, S. Heinemeyer, G. Weiglein, and K. E. Williams, HiggsBounds: confronting arbitrary Higgs sectors with exclusion bounds from LEP and the tevatron, Comput. Phys. Commun. 181, 138 (2010).
- H. Bahl, T. Biekötter, S. Heinemeyer, C. Li, S. Paasch, G. Weiglein, and J. Wittbrodt, HiggsTools: BSM scalar phenomenology with new versions of HiggsBounds and HiggsSignals, Comput. Phys. Commun. 291, 108803 (2023).
- S. Dawson and W. Yan, Hiding the Higgs boson with multiple scalars, Phys. Rev. D 79, 095002 (2009).
- D. López-Val and T. Robens, and the W-boson mass in the singlet extension of the standard model, Phys. Rev. D 90, 114018 (2014).
- A. Falkowski, C. Gross, and O. Lebedev, A second Higgs from the Higgs portal, J. High Energy Phys. 05 (2015) 057.
- A. Papaefstathiou, T. Robens, and G. White, Signal strength and W-boson mass measurements as a probe of the electro-weak phase transition at colliders—Snowmass White Paper, in Snowmass 2021 (2022), arXiv:2205.14379.
- D. de Florian et al. (LHC Higgs Cross Section Working Group), Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector, CERN Yellow Rep. Monogr. 2, 1 (2017).
- ATLAS Collaboration, Combination of searches for non-resonant and resonant Higgs boson pair production in the , and decay channels using collisions at with the ATLAS detector, tech. rep., CERN, Geneva, 2021. All figures including auxiliary figures are available at https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/CONFNOTES/ATLAS-CONF-2021-052.
- S.-P. He and S.-h. Zhu, One-loop radiative correction to the triple Higgs coupling in the Higgs singlet model, Phys. Lett. B 764, 31 (2017).
- S. Kanemura, M. Kikuchi, and K. Yagyu, One-loop corrections to the Higgs self-couplings in the singlet extension, Nucl. Phys. B917, 154 (2017).
- D. J. H. Chung, A. J. Long, and L.-T. Wang, 125 GeV Higgs boson and electroweak phase transition model classes, Phys. Rev. D 87, 023509 (2013).
- J. L. Barrow et al., Theories and experiments for testable baryogenesis mechanisms: A Snowmass white paper, arXiv:2203.07059.
- I. M. Lewis, J. Scott, M. A. S. Alcaraz, and M. Sullivan, Real singlet scalar benchmarks in the Multi-TeV resonance regime, arXiv:2410.08275.