Sensitivity of the FCC-ee to axion-like particles at different center-of-mass energies
Pith reviewed 2026-05-21 03:30 UTC · model grok-4.3
The pith
The FCC-ee can detect axion-like particles with couplings down to a few 10^{-6} GeV^{-1} at the Z pole through three-photon events.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
In the effective model with dominant electroweak couplings at leading order, associated production of the ALP with a photon followed by ALP decay to two photons yields a three-photon final state. The FCC-ee will be able to detect ALPs for couplings down to a few 10^{-6} GeV^{-1} during the Z pole run and down to 10^{-5} GeV^{-1} during the WW, ZH, and ttbar threshold runs, for ALP masses between 5 and 320 GeV. For masses below the Z boson mass this final state can additionally probe the underlying electroweak structure of the ALP couplings.
What carries the argument
Associated ALP-photon production at an electron-positron collider with the ALP decaying to two photons, giving a three-photon signature used to extract the ALP-photon coupling.
If this is right
- ALPs in the 5 to 320 GeV mass range become testable at couplings of order 10^{-6} GeV^{-1} during the Z-pole run.
- The higher-energy runs extend coverage but with coupling sensitivity around 10^{-5} GeV^{-1}.
- The three-photon channel can distinguish different patterns of electroweak ALP couplings for masses below the Z mass.
- Non-observation would place new upper limits on the ALP-photon coupling across the studied mass range.
Where Pith is reading between the lines
- A null result at FCC-ee would complement existing limits from hadron colliders and beam-dump experiments by probing a different production mechanism.
- If an excess appears, the clean lepton-collider environment could allow precise determination of the ALP mass and coupling strength.
- The same final state could be used to search for other new physics that produces three photons with low backgrounds.
Load-bearing premise
Standard Monte Carlo simulations are assumed to accurately capture backgrounds, detector efficiencies, and photon identification in the three-photon final state without large unaccounted systematics.
What would settle it
A measurement of the three-photon event rate at the Z pole that shows no excess above Standard Model expectations at the level corresponding to couplings of a few 10^{-6} GeV^{-1}, after accounting for statistical and systematic uncertainties, would falsify the projected sensitivity.
Figures
read the original abstract
The sensitivity of the proposed FCC-ee collider to axion-like particles (ALPs) is investigated at all planned center-of-mass energies, with focus on the case where the ALP couples primarily to electroweak gauge bosons at leading order. We study the associated production of the ALP with a photon, with the ALP decaying in turn to two photons, yielding a three-photon final state. The ALP coupling to the photon is evaluated for ALP masses of 5 to 320 GeV. In this effective model, the FCC-ee will be able to detect ALPs for couplings down to a few $10^{-6} \mathrm{GeV}^{-1}$ ($10^{-5} \mathrm{GeV}^{-1}$) during the Z pole run (WW, ZH, and $t\bar{t}$ threshold runs). Additionally, this final state has the potential to probe the underlying electroweak structure of ALP couplings for ALP masses below the $Z$-boson mass.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript investigates the sensitivity of the proposed FCC-ee collider to axion-like particles (ALPs) that couple primarily to electroweak gauge bosons at leading order. It focuses on associated production of the ALP with a photon, followed by ALP decay to two photons, yielding a three-photon final state. Projections are given for ALP masses from 5 to 320 GeV across the planned center-of-mass energies (Z pole, WW, ZH, and ttbar thresholds), claiming that the FCC-ee can probe ALP-photon couplings down to a few 10^{-6} GeV^{-1} at the Z pole and 10^{-5} GeV^{-1} at the higher-energy runs. The work also notes the potential to probe the underlying electroweak structure of the couplings for m_a below m_Z.
Significance. If the projected sensitivities hold after detailed validation, the results would extend existing experimental limits on ALP couplings by roughly an order of magnitude and provide a valuable test of ALP models in the electroweak sector at a future high-luminosity e+e- collider. The multi-energy strategy is a strength, as it allows cross-checks between different production mechanisms and could help distinguish the effective electroweak coupling structure. The use of a standard effective-theory framework with leading-order couplings is appropriate for such sensitivity studies.
major comments (2)
- [results section / simulation description] The central sensitivity projections (abstract and results section) rest on the assumption that standard Monte Carlo simulations accurately model the irreducible three-photon backgrounds (e.g., from higher-order QED or Z/γ* contributions) and photon reconstruction efficiencies without large unaccounted systematics. No quantitative assessment of systematic uncertainties, validation against data or higher-order calculations, or breakdown of background components (such as initial-state radiation tails or fake photons from π0 decays) is provided. A 10-20% underestimation of background would degrade the quoted coupling reach of a few 10^{-6} GeV^{-1} at the Z pole by a comparable factor, making this assumption load-bearing for the main claims.
- [discussion of electroweak structure] For ALP masses below m_Z, the claim that the three-photon final state can probe the electroweak structure of the couplings (abstract) depends on the branching ratio to γγ being correctly predicted by the leading-order effective model with only electroweak couplings. The manuscript does not discuss possible mixing effects or higher-dimensional operators that could alter this branching ratio, which is a potential source of model dependence in the projected limits.
minor comments (2)
- [introduction] The abstract and introduction would benefit from an explicit reference to the effective Lagrangian or operator basis used for the ALP-electroweak couplings to clarify the assumptions at leading order.
- [figures] Figure captions should include the assumed integrated luminosities and center-of-mass energies for each run to make the sensitivity curves easier to interpret without cross-referencing the text.
Simulated Author's Rebuttal
We thank the referee for the thorough review and valuable feedback on our manuscript. We have addressed the major comments point by point below, making revisions to the manuscript where appropriate to strengthen the presentation of our results.
read point-by-point responses
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Referee: [results section / simulation description] The central sensitivity projections (abstract and results section) rest on the assumption that standard Monte Carlo simulations accurately model the irreducible three-photon backgrounds (e.g., from higher-order QED or Z/γ* contributions) and photon reconstruction efficiencies without large unaccounted systematics. No quantitative assessment of systematic uncertainties, validation against data or higher-order calculations, or breakdown of background components (such as initial-state radiation tails or fake photons from π0 decays) is provided. A 10-20% underestimation of background would degrade the quoted coupling reach of a few 10^{-6} GeV^{-1} at the Z pole by a comparable factor, making this assumption load-bearing for the main claims.
Authors: We agree that a detailed assessment of systematic uncertainties is important for robust sensitivity projections. Our study employs leading-order Monte Carlo simulations to estimate the three-photon backgrounds and assumes typical photon identification efficiencies for the FCC-ee detector concept. As this is a prospective analysis for a future experiment, full detector-level simulations with data validation are not yet available. To address the referee's concern, we have revised the results section to include a qualitative discussion of potential systematic effects, such as contributions from initial-state radiation and possible fake photons. We also note that a 10-20% variation in background normalization would proportionally affect the coupling sensitivity, and our quoted reaches should be interpreted with this caveat in mind. We believe this addition clarifies the assumptions underlying our projections. revision: partial
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Referee: [discussion of electroweak structure] For ALP masses below m_Z, the claim that the three-photon final state can probe the electroweak structure of the couplings (abstract) depends on the branching ratio to γγ being correctly predicted by the leading-order effective model with only electroweak couplings. The manuscript does not discuss possible mixing effects or higher-dimensional operators that could alter this branching ratio, which is a potential source of model dependence in the projected limits.
Authors: Our analysis is performed within a specific effective field theory framework where the ALP couples primarily to electroweak gauge bosons at leading order, and the diphoton branching ratio is computed accordingly. For ALP masses below the Z boson mass, the associated production with a photon and subsequent decay allows sensitivity to the electroweak coupling structure through the production cross section and decay kinematics. We acknowledge that mixing with other particles or contributions from higher-dimensional operators could modify the branching ratios and introduce additional model dependence. In the revised manuscript, we have added a brief discussion in the conclusions section highlighting this limitation and stating that our results apply specifically to the leading-order effective model considered. revision: yes
Circularity Check
ALP sensitivity projections at FCC-ee rely on standard EFT cross-sections, branching ratios, and MC background modeling with no reduction of limits to self-fitted parameters or self-citations.
full rationale
The paper computes projected reaches for ALP-photon couplings using associated production e+e- → γ a followed by a → γγ in an effective electroweak-coupled model. These are direct applications of standard leading-order matrix elements and branching ratios evaluated at planned FCC-ee energies and luminosities. No equations or sections define the target coupling reach in terms of itself, fit a parameter to a subset of the projected data then rename it a prediction, or invoke a uniqueness theorem from the same authors' prior work to force the result. The central claim remains a forward projection whose validity rests on external assumptions about detector performance and SM background simulation rather than internal self-reference.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption ALP couples primarily to electroweak gauge bosons at leading order
invented entities (1)
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Axion-like particle with electroweak couplings
no independent evidence
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Leff ∋ Cγγ a/Λ Fμν F̃μν + … (Eq. 2.1); dσ(e+e−→aγ)/dΩ = … (Eq. 2.4); event generation with MG5aMC@NLO + PYTHIA8 + Delphes IDEA card; final selection on minimum M_cut, |cos θ_γ1|, ϕ_γ1, Δα_γ1γ2; CLs limits on g_aγγ
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
ALP model benchmark with C_WW=0, C_BB=1; branching ratios Γ(a→γγ), Γ(a→γZ), Γ(a→ZZ) (Eq. 2.7); sensitivity projections at Z-pole, WW, ZH, tt thresholds
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
E.S. Group,The European Strategy for Particle Physics: 2026 Update - Recommendations by the European Strategy Group (ESG), Tech. Rep. https://cds.cern.ch/record/2950531, CERN, Geneva, Switzerland (2025). [2]FCCcollaboration,FCC-ee: The Lepton Collider: Future Circular Collider Conceptual Design Report Volume 2,Eur. Phys. J. ST228(2019) 261. [3]FCCcollabor...
-
[2]
Blondel et al.,Searches for long-lived particles at the future FCC-ee,Front
A. Blondel et al.,Searches for long-lived particles at the future FCC-ee,Front. in Phys.10 (2022) 967881 [2203.05502]
-
[3]
R.D. Peccei and H.R. Quinn,CP Conservation in the Presence of Instantons,Phys. Rev. Lett.38(1977) 1440
work page 1977
-
[4]
R.D. Peccei and H.R. Quinn,Constraints Imposed by CP Conservation in the Presence of Instantons,Phys. Rev. D16(1977) 1791
work page 1977
-
[5]
Weinberg,A New Light Boson?,Phys
S. Weinberg,A New Light Boson?,Phys. Rev. Lett.40(1978) 223
work page 1978
-
[6]
Wilczek,Problem of StrongPandTInvariance in the Presence of Instantons,Phys
F. Wilczek,Problem of StrongPandTInvariance in the Presence of Instantons,Phys. Rev. Lett.40(1978) 279
work page 1978
-
[7]
Collider Probes of Axion-Like Particles
M. Bauer, M. Neubert and A. Thamm,Collider Probes of Axion-Like Particles,JHEP12 (2017) 044 [1708.00443]
work page internal anchor Pith review Pith/arXiv arXiv 2017
- [8]
-
[9]
Adams et al.,Axion Dark Matter, inSnowmass 2021, 3, 2022 [2203.14923]
C.B. Adams et al.,Axion Dark Matter, inSnowmass 2021, 3, 2022 [2203.14923]
-
[10]
G. Armando, P. Panci, J. Weiss and R. Ziegler,Leptonic ALP portal to the dark sector, Phys. Rev. D109(2024) 055029 [2310.05827]
-
[11]
S. Allen, A. Blackburn, O. Cardenas, Z. Messenger, N.H. Nguyen and B. Shuve,Electroweak axion portal to dark matter,Phys. Rev. D110(2024) 095010 [2405.02403]. [15]F ASERcollaboration,Shining light on the dark sector: search for axion-like particles and other new physics in photonic final states with FASER,JHEP01(2025) 199 [2410.10363]. [16]BESIIIcollabora...
-
[12]
New Axion Searches at Flavor Factories
X. Cid Vidal, A. Mariotti, D. Redigolo, F. Sala and K. Tobioka,New Axion Searches at Flavor Factories,JHEP01(2019) 113 [1810.09452]. [24]LHCbcollaboration,Search for resonances decaying to photon pairs with masses between 4.9 and 19.4 GeV,Submitted toPhys. Rev. Lett. (2025) [2507.14390]. [25]NA64collaboration,Search for Axionlike and Scalar Particles with...
work page internal anchor Pith review Pith/arXiv arXiv 2019
-
[13]
J. Blumlein et al.,Limits on neutral light scalar and pseudoscalar particles in a proton beam dump experiment,Z. Phys. C51(1991) 341
work page 1991
-
[14]
B. D¨ obrich, J. Jaeckel and T. Spadaro,Light in the beam dump - ALP production from decay photons in proton beam-dumps,JHEP05(2019) 213 [1904.02091]
-
[15]
J.D. Bjorken, S. Ecklund, W.R. Nelson, A. Abashian, C. Church, B. Lu et al.,Search for Neutral Metastable Penetrating Particles Produced in the SLAC Beam Dump,Phys. Rev. D 38(1988) 3375. [29]CHARMcollaboration,Search for Axion Like Particle Production in 400-GeV Proton - Copper Interactions,Phys. Lett. B157(1985) 458
work page 1988
-
[16]
F. Capozzi, B. Dutta, G. Gurung, W. Jang, I.M. Shoemaker, A. Thompson et al.,New constraints on ALP couplings to electrons and photons from ArgoNeuT and the MiniBooNE beam dump,Phys. Rev. D108(2023) 075019 [2307.03878]
-
[17]
A. Caputo, H.-T. Janka, G. Raffelt and E. Vitagliano,Low-Energy Supernovae Severely Constrain Radiative Particle Decays,Phys. Rev. Lett.128(2022) 221103 [2201.09890]
-
[18]
J. de Blas et al.,Physics Briefing Book: Input for the 2026 update of the European Strategy for Particle Physics, vol. 8 ofCERN Yellow Reports: Monograpghs, CERN (11, 2025), 10.17181/CERN.35CH.2O2P, [2511.03883]
-
[19]
G. Polesello,Sensitivity of the FCC-ee to decay of an axion-like particle into two photons, JHEP06(2025) 239 [2502.08411]
-
[20]
P. Rebello Teles, D. d’Enterria, V.P. Gon¸ calves and D.E. Martins,Searches for axionlike particles viaγγfusion at future e+e- colliders,Phys. Rev. D109(2024) 055003 [2310.17270]
-
[21]
K. Mimasu and V. Sanz,ALPs at Colliders,JHEP06(2015) 173 [1409.4792]
work page internal anchor Pith review Pith/arXiv arXiv 2015
-
[22]
J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer,MadGraph 5 : Going Beyond,JHEP06(2011) 128 [1106.0522]
work page internal anchor Pith review Pith/arXiv arXiv 2011
-
[23]
T. Sj¨ ostrand, S. Ask, J.R. Christiansen, R. Corke, N. Desai, P. Ilten et al.,An introduction to PYTHIA 8.2,Comput. Phys. Commun.191(2015) 159 [1410.3012]. – 23 – [38]DELPHES 3collaboration,DELPHES 3, A modular framework for fast simulation of a generic collider experiment,JHEP02(2014) 057 [1307.6346]. [39]IDEA Study Groupcollaboration,The IDEA detector ...
work page internal anchor Pith review Pith/arXiv arXiv 2015
-
[24]
M. Dam,Detector requirements, design, and technologies for the FCC-ee Higgs, electroweak, and top factory,Nucl. Instrum. Meth. A1080(2025) 170648 [2505.06781]. [41]https://github.com/HEP-FCC/FCC-config/tree/winter2023/FCCee
-
[25]
C. Helsens, E. Perez, M. Selvaggi, V. Volkl, L. Forthomme and J. Munch Torndal, Hep-fcc/fccanalyses: v0.11.0, May, 2025. 10.5281/zenodo.15528870
-
[26]
Sensitivity of searches for new signals and its optimization
G. Punzi,Sensitivity of searches for new signals and its optimization,eConfC030908 (2003) MODT002 [physics/0308063]. [44]CMScollaboration,The CMS Statistical Analysis and Combination Tool: Combine, Comput. Softw. Big Sci.8(2024) 19 [2404.06614]
work page internal anchor Pith review Pith/arXiv arXiv 2003
-
[27]
The RooFit toolkit for data modeling
W. Verkerke and D.P. Kirkby,The RooFit toolkit for data modeling,eConfC0303241 (2003) MOLT007 [physics/0306116]
work page internal anchor Pith review Pith/arXiv arXiv 2003
-
[28]
L. Moneta, K. Belasco, K.S. Cranmer, S. Kreiss, A. Lazzaro, D. Piparo et al.,The RooStats Project,PoSACAT2010(2010) 057 [1009.1003]
work page internal anchor Pith review Pith/arXiv arXiv 2010
-
[29]
Read,Presentation of search results: The CL s technique,J
A.L. Read,Presentation of search results: The CL s technique,J. Phys. G28(2002) 2693
work page 2002
-
[30]
Confidence Level Computation for Combining Searches with Small Statistics
T. Junk,Confidence level computation for combining searches with small statistics,Nucl. Instrum. Meth. A434(1999) 435 [hep-ex/9902006]
work page internal anchor Pith review Pith/arXiv arXiv 1999
-
[31]
Asymptotic formulae for likelihood-based tests of new physics
G. Cowan, K. Cranmer, E. Gross and O. Vitells,Asymptotic formulae for likelihood-based tests of new physics,Eur. Phys. J. C71(2011) 1554 [1007.1727]
work page internal anchor Pith review Pith/arXiv arXiv 2011
-
[32]
cajohare/axionlimits: Axionlimits
C. O’Hare, “cajohare/axionlimits: Axionlimits.” https://cajohare.github.io/AxionLimits/, July, 2020. 10.5281/zenodo.3932430
-
[33]
G. Cacciapaglia, A. Deandrea, A.M. Iyer and K. Sridhar,Tera-Zstage at future colliders and light composite axionlike particles,Phys. Rev. D105(2022) 015020 [2104.11064]. – 24 –
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