- Open Access
Higgs Self-Coupling at the Future Circular Collider
Phys. Rev. Lett. 135, 141802 – Published 29 September, 2025
DOI: https://doi.org/10.1103/wjcy-1qk6
Abstract
Single Higgs production at FCC-ee probes the Higgs self-coupling at next-to-leading order (NLO). Extracting a bound requires a global analysis accounting for other possible new physics contributions up to NLO. We determine the FCC-ee sensitivity to Higgs self-coupling modifications within the standard model effective field theory framework, including for the first time flavor, LEP, LHC, and FCC-ee observables in a global analysis with all leading NLO effects via one-loop renormalization group evolution, as well as incorporating finite NLO contributions to electroweak precision and observables. The global sensitivity to is estimated by marginalizing over the effects of all other operators, bringing flavor considerations to the fore. We find that, under reasonable assumptions, FCC-ee sensitivity to can exceed that of the HL-LHC.
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References (78)
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- G. Aad et al. (ATLAS Collaboration), Nature (London) 607, 52 (2022); 612, E24 (2022).
- A. Tumasyan et al. (CMS Collaboration), Nature (London) 607, 60 (2022); 623, E4 (2023).
- G. Aad et al. (ATLAS Collaboration), Phys. Rev. Lett. 133, 101801 (2024).
- CMS Collaboration, Combination of searches for nonresonant Higgs boson pair production in proton-proton collisions at sqrt(s) = 13 TeV, CMS-PAS-HIG-20-011 (2024).
- M. Cepeda et al., CERN Yellow Rep. Monogr. 7, 221 (2019).
- Projected sensitivity of measurements of Higgs boson pair production with the ATLAS experiment at the HL-LHC, Technical Report ATL-PHYS-PUB-2025-006, CERN, Geneva, 2025.
- Highlights of the HL-LHC physics projections by ATLAS and CMS, Technical Report, CERN, Geneva, 2025, https://cds.cern.ch/record/2928907.
- E. Gallo, C. Grojean, P. Mastrapasqua, M. Selvaggi, B. Stapf, K. Tackmann, and A. Taliercio, in Proceedings of 31st International Workshop on Deep Inelastic Scattering—PoS(DIS2024) (Sissa Medialab, Grenoble, France, 2024), p. 253.
- A. Abada et al. (FCC Collaboration), Eur. Phys. J. Special Topics 228, 261 (2019).
- G. Bernardi et al., arXiv:2203.06520.
- M. Benedikt et al., Future circular collider feasibility study report volume 1: Physics and experiments, Technical Report, CERN, Geneva, 2025, https://cds.cern.ch/record/2928193.
- W. Abdallah et al. (CEPC Study Group), Radiat. Detect. Technol. Methods 8, 1 (2024); 9, 184(E) (2025).
- M. McCullough, Phys. Rev. D 90, 015001 (2014); 92, 039903(E) (2015).
The indirect sensitivity to the Higgs self-coupling has also been studied for the single-operator case at the LHC [16, 17, 18, 19, 20, 21, 22], at colliders [23, 24, 25], and at NNLO in electroweak precision observables [26, 27].
- M. Gorbahn and U. Haisch, J. High Energy Phys. 10 (2016) 094.
- G. Degrassi, P. P. Giardino, F. Maltoni, and D. Pagani, J. High Energy Phys. 12 (2016) 080.
- W. Bizon, M. Gorbahn, U. Haisch, and G. Zanderighi, J. High Energy Phys. 07 (2017) 083.
- F. Maltoni, D. Pagani, A. Shivaji, and X. Zhao, Eur. Phys. J. C 77, 887 (2017).
- M. Gorbahn and U. Haisch, J. High Energy Phys. 04 (2019) 062.
- G. Degrassi and M. Vitti, Eur. Phys. J. C 80, 307 (2020).
- U. Haisch and G. Koole, J. High Energy Phys. 02 (2022) 030.
- F. Maltoni, D. Pagani, and X. Zhao, J. High Energy Phys. 07 (2018) 087.
- S. D. Rindani and B. Singh, Int. J. Mod. Phys. A 35, 2050011 (2020).
- K. Rao, S. D. Rindani, P. Sarmah, and B. Singh, Nucl. Phys. B975, 115649 (2022).
- G. D. Kribs, A. Maier, H. Rzehak, M. Spannowsky, and P. Waite, Phys. Rev. D 95, 093004 (2017).
- G. Degrassi, M. Fedele, and P. P. Giardino, J. High Energy Phys. 04 (2017) 155.
- S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979).
- W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986).
- B. Grzadkowski, M. Iskrzynski, M. Misiak, and J. Rosiek, J. High Energy Phys. 10 (2010) 085.
- S. Di Vita, G. Durieux, C. Grojean, J. Gu, Z. Liu, G. Panico, M. Riembau, and T. Vantalon, J. High Energy Phys. 02 (2018) 178.
- V. Maura, B. A. Stefanek, and T. You, arXiv:2412.14241.
- K. Asteriadis, S. Dawson, P. P. Giardino, and R. Szafron, J. High Energy Phys. 02 (2025) 162.
- D. A. Faroughy, G. Isidori, F. Wilsch, and K. Yamamoto, J. High Energy Phys. 08 (2020) 166.
- A. Greljo, A. Palavrić, and A. E. Thomsen, J. High Energy Phys. 10 (2022) 010.
- G. Isidori, F. Wilsch, and D. Wyler, Rev. Mod. Phys. 96, 015006 (2024).
- L. Allwicher, C. Cornella, G. Isidori, and B. A. Stefanek, J. High Energy Phys. 03 (2024) 049.
- J. Ellis, M. Madigan, K. Mimasu, V. Sanz, and T. You, J. High Energy Phys. 04 (2021) 279.
- A. Greljo, H. Tiblom, and A. Valenti, SciPost Phys. 18, 152 (2025).
- P. Stangl, Proc. Sci. TOOLS2020 (2021) 035 [arXiv:2012.12211].
- L. Allwicher, G. Isidori, J. M. Lizana, N. Selimovic, and B. A. Stefanek, J. High Energy Phys. 05 (2023) 179.
- E. Celada, T. Giani, J. ter Hoeve, L. Mantani, J. Rojo, A. N. Rossia, M. O. A. Thomas, and E. Vryonidou, J. High Energy Phys. 09 (2024) 091.
- L. Allwicher, D. A. Faroughy, F. Jaffredo, O. Sumensari, and F. Wilsch, Comput. Phys. Commun. 289, 108749 (2023).
- L. Bellafronte, S. Dawson, and P. P. Giardino, J. High Energy Phys. 05 (2023) 208.
- A. Biekötter and B. D. Pecjak, J. High Energy Phys. 07 (2025) 134.
- J. Fuentes-Martin, P. Ruiz-Femenia, A. Vicente, and J. Virto, Eur. Phys. J. C 81, 167 (2021).
- K. Mimasu, fitrepo (2025) (accessed: 2025-08-04).
- J. De Blas, G. Durieux, C. Grojean, J. Gu, and A. Paul, J. High Energy Phys. 12 (2019) 117.
- J. de Blas, Y. Du, C. Grojean, J. Gu, V. Miralles, M. E. Peskin, J. Tian, M. Vos, and E. Vryonidou, in Snowmass 2021 (2022), arXiv:2206.08326.
- S. Schael et al. (ALEPH, DELPHI, L3, OPAL, LEP Electroweak Collaborations), Phys. Rep. 532, 119 (2013).
- J. J. Ethier, G. Magni, F. Maltoni, L. Mantani, E. R. Nocera, J. Rojo, E. Slade, E. Vryonidou, and C. Zhang (SMEFiT Collaboration), J. High Energy Phys. 11 (2021) 089.
- LHC Higgs Working Group, Higgs coupling projections for the LHC, https://twiki.cern.ch/twiki/bin/view/LHCPhysics/GuidelinesCouplingProjections2018 (2018) (Accessed: March 7, 2025).
- L. Allwicher, D. A. Faroughy, F. Jaffredo, O. Sumensari, and F. Wilsch, J. High Energy Phys. 03 (2023) 064.
These SMEFT contributions are enhanced by a QED K-factor of 1.19 that we include [33].
- G. D’Ambrosio, G. F. Giudice, G. Isidori, and A. Strumia, Nucl. Phys. B645, 155 (2002).
We use the projections for FCC-ee from [49], which do not include strange or top quarks. For those we perform our own projection using the optimal tagging working point of [39].
- E. M. Cepeda, S. Gori, P. Ilten, M. Kado, and F. Riva, CERN Yellow Rep. Monogr. 7, 221 (2019).
The marginalized HL-LHC sensitivity does not depend on the choice of flavor symmetry as long as it is relaxed enough to allow variations in all operators entering double-Higgs production. This is true for all symmetries we consider except .
- J. Fuentes-Martin, G. Isidori, J. M. Lizana, N. Selimovic, and B. A. Stefanek, Phys. Lett. B 834, 137382 (2022).
- J. Davighi and J. Tooby-Smith, J. High Energy Phys. 09 (2022) 193.
- J. Davighi and G. Isidori, J. High Energy Phys. 07 (2023) 147.
- J. Davighi and B. A. Stefanek, J. High Energy Phys. 11 (2023) 100.
- J. Davighi, A. Gosnay, D. J. Miller, and S. Renner, J. High Energy Phys. 05 (2024) 085.
- R. Barbieri and G. Isidori, J. High Energy Phys. 05 (2024) 033.
- B. Capdevila, A. Crivellin, J. M. Lizana, and S. Pokorski, J. High Energy Phys. 08 (2024) 031.
- J. Fuentes-Martín and J. M. Lizana, J. High Energy Phys. 07 (2024) 117.
- J. M. Lizana, J. High Energy Phys. 05 (2025) 176.
- B. A. Stefanek, J. High Energy Phys. 09 (2024) 103.
- G. Durieux, M. McCullough, and E. Salvioni, J. High Energy Phys. 12 (2022) 148; 02 (2023) 165(E).
- P. N. Bhattiprolu and J. D. Wells, Phys. Lett. B 861, 139263 (2025).
- 2020 Update of the European Strategy for Particle Physics (Brochure), Technical Report, Geneva, CERN, 2020.
- H. Murayama et al. (2023), 10.2172/2368847.
- L. Allwicher, M. McCullough, and S. Renner, J. High Energy Phys. 02 (2025) 164.
- B. A. Erdelyi, R. Gröber, and N. Selimovic, J. High Energy Phys. 05 (2025) 189.
- B. A. Erdelyi, R. Gröber, and N. Selimovic, J. High Energy Phys. 05 (2025) 135.
- S.-F. Ge, Z. Qian, M. J. Ramsey-Musolf, and J. Zhou, J. High Energy Phys. 06 (2025) 067.
- J. Gargalionis, J. Quevillon, P. N. H. Vuong, and T. You, J. High Energy Phys. 07 (2025) 136.
- J. ter Hoeve, L. Mantani, J. Rojo, A. N. Rossia, and E. Vryonidou, Phys. Rev. D 112, 013008 (2025).