REVIEW 3 major objections 2 minor 1 cited by
Search for the nonresonant production of a pair of additional Higgs bosons in the Type-X two-Higgs-doublet model in proton-proton collisions at $\sqrt{s}$ = 13 TeV
T0 review · 3 major / 2 minor · reviewed 2026-05-19 · grok-4.3
Pith's one-line read The search finds no excess over standard model background in tau lepton pairs, excluding the Type-X two-Higgs-doublet model as an explanation for the muon anomalous magnetic moment discrepancy.
desk verdict CMS has excluded the Type-X 2HDM region favored by muon g-2 with their nonresonant 4-tau search, provided the efficiency and background modeling hold across the full mass range. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The nonresonant production of a pair of additional Higgs bosons via an off-shell Z boson in the Type-X 2HDM, with both decaying to tau lepton pairs, used to set exclusion limits.
What would settle it
A significant excess of events in the signal region beyond the predicted background and uncertainties would indicate the presence of the signal and challenge the exclusion of the model.
Extended reading notes
Core claim
No deviation from the standard model background is observed in the search for nonresonant production of two additional Higgs bosons decaying to tau pairs. Exclusion limits are set on the Type-X two-Higgs-doublet model alignment scenario, ruling out this model as an explanation for the potential tension in the muon anomalous magnetic moment.
Load-bearing premise
The analysis assumes that standard model background processes are accurately modeled in simulation and that signal acceptance and efficiency are correctly estimated for the tau-pair final state.
Editorial extensions
If this is right
- The Type-X 2HDM alignment scenario cannot explain the muon g-2 anomaly.
- New physics explanations for the muon magnetic moment discrepancy must lie outside this model.
- Future collider searches can target other 2HDM scenarios or different final states.
Reading between the lines
- Other models, such as supersymmetric extensions or different Higgs sectors, may need to be considered to address the g-2 tension.
- With more data at higher energies, similar searches could further constrain parameter spaces in extended Higgs models.
- Precision measurements of tau decays or other observables might provide complementary tests.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reports a search for nonresonant production of a pair of additional Higgs bosons H and A in the Type-X two-Higgs-doublet model via an off-shell Z boson, with both decaying to τ lepton pairs. Using 138 fb^{-1} of 13 TeV proton-proton collision data collected with the CMS detector, no significant excess over Standard Model backgrounds is observed. Exclusion limits are placed on the model parameters in the alignment limit, and the results are interpreted as ruling out the Type-X 2HDM as an explanation for the muon anomalous magnetic moment discrepancy.
Significance. If the exclusion limits are shown to fully cover the (m_A, tan β) region preferred by the muon g-2 anomaly, the result would be significant: it would eliminate one of the more widely discussed beyond-Standard-Model explanations for the observed tension in a_μ. The analysis adds a direct LHC constraint in the 4τ final state that complements indirect bounds from precision measurements.
major comments (3)
- [Results/Interpretation section] The central claim that the search rules out the Type-X 2HDM explanation for Δa_μ ≈ (2.5–3.0)×10^{-9} requires explicit verification that the excluded region fully covers the g-2-preferred band. The manuscript should overlay the 1–2σ g-2 contour on the (m_A, tan β) exclusion plot (likely in the results or interpretation section) and quantify any remaining viable sliver after accounting for theoretical uncertainties on the nonresonant cross section.
- [Signal modeling section] The weakest assumption is the modeling of signal acceptance and efficiency for the 4τ final state across m_A, m_H ~ 80–300 GeV. The paper should provide a dedicated validation (e.g., Table or Figure in the signal modeling section) showing that the efficiency is stable and that the quoted upper limits remain robust when efficiency is varied within its uncertainty.
- [Background estimation section] Background modeling (ZZ, Z+jets with fake τ, tt̄) is critical for the observed limit strength. The manuscript should demonstrate in the background estimation section that the simulation accurately reproduces the data in control regions, with a quantitative assessment of the impact on the final exclusion if the background normalization is shifted by its systematic uncertainty.
minor comments (2)
- [Abstract] The abstract states that the results 'rule out this model' without qualifying the coverage of the g-2 region; a more precise phrasing would improve clarity.
- [Figures] Figure captions should explicitly state the integrated luminosity and center-of-mass energy for each plot to allow quick reference.
Simulated Author's Rebuttal
We thank the referee for the thorough review and valuable suggestions. We have revised the manuscript to address all major comments, improving the clarity of our results and the robustness of our analysis. Below we provide detailed responses to each point.
read point-by-point responses
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Referee: [Results/Interpretation section] The central claim that the search rules out the Type-X 2HDM explanation for Δa_μ ≈ (2.5–3.0)×10^{-9} requires explicit verification that the excluded region fully covers the g-2-preferred band. The manuscript should overlay the 1–2σ g-2 contour on the (m_A, tan β) exclusion plot (likely in the results or interpretation section) and quantify any remaining viable sliver after accounting for theoretical uncertainties on the nonresonant cross section.
Authors: We agree with the referee that an explicit overlay of the g-2 contours will better support our interpretation. In the revised manuscript, we have added the 1σ and 2σ preferred regions from the muon anomalous magnetic moment to the exclusion plot in the results section. The updated figure demonstrates that our exclusion limits fully cover the 1–2σ g-2 preferred region, with no viable parameter space remaining even after including theoretical uncertainties of 10% on the cross section. This strengthens our conclusion that the Type-X 2HDM is ruled out as an explanation for the muon g-2 anomaly. revision: yes
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Referee: [Signal modeling section] The weakest assumption is the modeling of signal acceptance and efficiency for the 4τ final state across m_A, m_H ~ 80–300 GeV. The paper should provide a dedicated validation (e.g., Table or Figure in the signal modeling section) showing that the efficiency is stable and that the quoted upper limits remain robust when efficiency is varied within its uncertainty.
Authors: We have added a new table in the signal modeling section (Table 3) presenting the signal acceptance and efficiency for representative mass points across the range m_A = 80–300 GeV. The efficiency is found to be stable, varying between 2.5% and 3.2% with no strong dependence on mass or tan β. To assess robustness, we varied the efficiency by its estimated uncertainty of ±7% and re-derived the limits; the observed upper limits change by less than 10%, confirming that the exclusion of the g-2 region remains robust. revision: yes
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Referee: [Background estimation section] Background modeling (ZZ, Z+jets with fake τ, tt̄) is critical for the observed limit strength. The manuscript should demonstrate in the background estimation section that the simulation accurately reproduces the data in control regions, with a quantitative assessment of the impact on the final exclusion if the background normalization is shifted by its systematic uncertainty.
Authors: We have enhanced the background estimation section with additional plots comparing data and Monte Carlo simulation in dedicated control regions for ZZ, Z+jets, and tt̄ processes. The data-simulation agreement is good, with discrepancies below 8% in the control regions. We have also included a quantitative study showing that shifting the background normalizations by their systematic uncertainties (ranging from 5% to 20%) results in variations of the final exclusion limits by at most 15%. This does not alter the conclusion that the Type-X 2HDM explanation for the muon g-2 anomaly is excluded. revision: yes
Circularity Check
No circularity: direct data-driven exclusion limits on external model
full rationale
The paper reports a standard LHC search that compares observed 4τ events in 138 fb⁻¹ of 13 TeV data against Monte Carlo simulations of SM backgrounds and Type-X 2HDM signal. Exclusion limits on the (m_A, tanβ) plane are obtained from the lack of excess; these limits are then compared to an externally calculated g-2 preferred region. No parameter is fitted to the observed data and then re-used as a prediction, no self-citation supplies a load-bearing uniqueness theorem, and the central result does not reduce to a redefinition of its own inputs. The analysis is therefore self-contained against external benchmarks.
Assumptions & free parameters
assumptions (2)
- domain assumption Standard model processes accurately describe the background in the selected final state
- domain assumption The Type-X 2HDM alignment scenario is correctly implemented in the signal simulation
Cite this review
Pith. "Pith review of Search for the nonresonant production of a pair of additional Higgs bosons in the Type-X two-Higgs-doublet model in proton-proton collisions at $\sqrt{s}$ = 13 TeV." pith.science (2026). https://pith.science/paper/NRK2KR5Y
@misc{pith2026260516655,
author = {Pith},
title = {Pith review of: Search for the nonresonant production of a pair of additional Higgs bosons in the Type-X two-Higgs-doublet model in proton-proton collisions at $\sqrts$ = 13 TeV},
year = {2026},
howpublished = {\url{https://pith.science/paper/NRK2KR5Y}},
note = {Machine review of arXiv:2605.16655}
}
abstract
A search is presented for the production of two additional Higgs bosons from an off-shell Z boson, where both additional particles decay to $\tau$ lepton pairs. The search is performed with a data sample collected with the CMS detector from proton-proton collisions at the LHC at $\sqrt{s}$ = 13 TeV, corresponding to an integrated luminosity of 138 fb$^{-1}$. No deviation from the standard model background is observed. Exclusion limits are set on the Type-X two-Higgs-doublet model alignment scenario. These results rule out this model as an explanation to the potential tension between the experimental and theoretical values of the muon anomalous magnetic moment.
Figures
Figures from the paper (2 more)
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.
Exclusion limits are set on the Type-X two-Higgs-doublet model alignment scenario. These results rule out this model as an explanation to the potential tension between the experimental and theoretical values of the muon anomalous magnetic moment.
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The final discriminating variable used is the total transverse mass (mtot_T)
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.
Forward citations
Cited by 1 Pith paper
-
Muon-induced di-tau production as a probe of new physics
Proposal to use muon trident process with HEMERA detector on 10^18 TeV muons to extend B-factory and (g-2)μ bounds on leptophilic scalar couplings by over an order of magnitude.
Reference graph
Works this paper leans on
-
[1]
Final report of the E821 muon anomalous magnetic moment measurement at BNL
Muon g-2 Collaboration, “Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL”,Phys. Rev. D73(2006) 072003, References 9 doi:10.1103/PhysRevD.73.072003,arXiv:hep-ex/0602035
work page Pith review arXiv doi:10.1103/physrevd.73.072003 2006
-
[2]
Measurement of the positive muon anomalous magnetic moment to 0.46 ppm
Muon g-2 Collaboration, “Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm”,Phys. Rev. Lett.126(2021) 141801, doi:10.1103/PhysRevLett.126.141801,arXiv:2104.03281
-
[3]
Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
Muon g-2 Collaboration, “Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm”,Phys. Rev. Lett.131(2023) 161802, doi:10.1103/PhysRevLett.131.161802,arXiv:2308.06230
-
[4]
T. Aoyama et al., “The anomalous magnetic moment of the muon in the Standard Model”,Phys. Rept.887(2020) 1,doi:10.1016/j.physrep.2020.07.006, arXiv:2006.04822
-
[5]
Leading hadronic contribution to the muon magnetic moment from lattice QCD
S. Borsanyi et al., “Leading hadronic contribution to the muon magnetic moment from lattice QCD”,Nature593(2021) 51,doi:10.1038/s41586-021-03418-1, arXiv:2002.12347
-
[6]
Higgs Boson Theory and Phenomenology
M. Carena and H. E. Haber, “Higgs Boson Theory and Phenomenology”,Prog. Part. Nucl. Phys.50(2003) 63,doi:10.1016/S0146-6410(02)00177-1, arXiv:hep-ph/0208209
work page Pith review arXiv doi:10.1016/s0146-6410(02)00177-1 2003
-
[7]
New Barr-Zee contributions to $\mathbf{(g-2)_\mu}$ in two-Higgs-doublet models
V . Ilisie, “New Barr-Zee contributions to (g-2)µ in two-Higgs-doublet models”,JHEP04 (2015) 077,doi:10.1007/JHEP04(2015)077,arXiv:1502.04199
work page Pith review arXiv doi:10.1007/jhep04(2015)077 2015
-
[8]
N. Ghosh and J. Lahiri, “Revisiting a generalized two-Higgs-doublet model in light of the muon anomaly and lepton flavor violating decays at the HL-LHC”,Phys. Rev. D103 (2021) 055009,doi:10.1103/PhysRevD.103.055009,arXiv:2010.03590
Show all 66 references
-
[9]
Type-X two-Higgs-doublet model in light of the muon g-2: Confronting Higgs boson and collider data
A. Jueid, J. Kim, S. Lee, and J. Song, “Type-X two-Higgs-doublet model in light of the muon g-2: Confronting Higgs boson and collider data”,Phys. Rev. D104(2021) 095008, doi:10.1103/PhysRevD.104.095008,arXiv:2104.10175
2021 doi
-
[10]
(g-2)µin the 2HDM and slightly beyond: An updated view
P . M. Ferreira, B. L. Gonc ¸alves, F. R. Joaquim, and M. Sher, “(g-2)µin the 2HDM and slightly beyond: An updated view”,Phys. Rev. D104(2021) 053008, doi:10.1103/PhysRevD.104.053008,arXiv:2104.03367
2021 doi
- [11]
- [12]
- [13]
- [14]
- [15]
-
[16]
Supergauge invariant extension of the Higgs mechanism and a model for the electron and its neutrino
P . Fayet, “Supergauge invariant extension of the Higgs mechanism and a model for the electron and its neutrino”,Nucl. Phys. B90(1975) 104, doi:10.1016/0550-3213(75)90636-7
1975 doi
-
[17]
Spontaneously broken supersymmetric theories of weak, electromagnetic and strong interactions
P . Fayet, “Spontaneously broken supersymmetric theories of weak, electromagnetic and strong interactions”,Phys. Lett. B69(1977) 489, doi:10.1016/0370-2693(77)90852-8
1977 doi
-
[18]
Searches for additional Higgs bosons and for vector leptoquarks in ττfinal states in proton-proton collisions at √s= 13 TeV
CMS Collaboration, “Searches for additional Higgs bosons and for vector leptoquarks in ττfinal states in proton-proton collisions at √s= 13 TeV”,JHEP07(2023) 073, doi:10.1007/JHEP07(2023)073,arXiv:2208.02717
2023 doi
-
[19]
Precision luminosity measurement in proton-proton collisions at√s=13 TeV in 2015 and 2016 at CMS
CMS Collaboration, “Precision luminosity measurement in proton-proton collisions at√s=13 TeV in 2015 and 2016 at CMS”,Eur. Phys. J. C81(2021) 800, doi:10.1140/epjc/s10052-021-09538-2,arXiv:2104.01927
2015 doi
-
[20]
CMS luminosity measurement for the 2017 data-taking period at√s= 13 TeV
CMS Collaboration, “CMS luminosity measurement for the 2017 data-taking period at√s= 13 TeV”, CMS Physics Analysis Summary CMS-PAS-LUM-17-004, 2018
2017
-
[21]
CMS luminosity measurement for the 2018 data-taking period at√s= 13 TeV
CMS Collaboration, “CMS luminosity measurement for the 2018 data-taking period at√s= 13 TeV”, CMS Physics Analysis Summary CMS-PAS-LUM-18-002, 2019
2018
-
[22]
HEPData record for this analysis
“HEPData record for this analysis”, 2026.doi:10.17182/hepdata.166016
2026 doi
-
[23]
The CMS experiment at the CERN LHC
CMS Collaboration, “The CMS experiment at the CERN LHC”,JINST3(2008) S08004, doi:10.1088/1748-0221/3/08/S08004
2008 doi
-
[24]
Performance of the CMS Level-1 trigger in proton-proton collisions at √s=13 TeV
CMS Collaboration, “Performance of the CMS Level-1 trigger in proton-proton collisions at √s=13 TeV”,JINST15(2020) P10017, doi:10.1088/1748-0221/15/10/P10017,arXiv:2006.10165
2020 doi
- [25]
-
[26]
Performance of the CMS high-level trigger during LHC run 2
CMS Collaboration, “Performance of the CMS high-level trigger during LHC run 2”, JINST19(2024) P11021,doi:10.1088/1748-0221/19/11/P11021, arXiv:2410.17038
2024 doi
-
[27]
Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC
CMS Collaboration, “Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC”,JINST16(2021) P05014, doi:10.1088/1748-0221/16/05/P05014,arXiv:2012.06888
2021 doi
-
[28]
Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at √s=13 TeV
CMS Collaboration, “Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at √s=13 TeV”,JINST13(2018) P06015, doi:10.1088/1748-0221/13/06/P06015,arXiv:1804.04528
- [29]
- [30]
-
[31]
Performance of reconstruction and identification ofτleptons decaying to hadrons andν τ in pp collisions at √s=13 TeV
CMS Collaboration, “Performance of reconstruction and identification ofτleptons decaying to hadrons andν τ in pp collisions at √s=13 TeV”,JINST13(2018) P10005, doi:10.1088/1748-0221/13/10/P10005,arXiv:1809.02816
- [32]
-
[33]
Performance of missing transverse momentum reconstruction in proton-proton collisions at √s=13 TeV using the CMS detector
CMS Collaboration, “Performance of missing transverse momentum reconstruction in proton-proton collisions at √s=13 TeV using the CMS detector”,JINST14(2019) P07004,doi:10.1088/1748-0221/14/07/P07004,arXiv:1903.06078
-
[34]
Identification of hadronic tau lepton decays using a deep neural network
CMS Collaboration, “Identification of hadronic tau lepton decays using a deep neural network”,JINST17(2022) P07023,doi:10.1088/1748-0221/17/07/P07023, arXiv:2201.08458
2022 doi
- [35]
-
[36]
Jet flavour classification using DeepJet
E. Bols et al., “Jet flavour classification using DeepJet”,JINST15(2020) P12012, doi:10.1088/1748-0221/15/12/P12012,arXiv:2008.10519
2020 doi
-
[37]
Measurement of the Zγ ∗ →ττcross section in pp collisions at√s=13 TeV and validation ofτlepton analysis techniques
CMS Collaboration, “Measurement of the Zγ ∗ →ττcross section in pp collisions at√s=13 TeV and validation ofτlepton analysis techniques”,Eur. Phys. J. C78(2018) 708,doi:10.1140/epjc/s10052-018-6146-9,arXiv:1801.03535
- [38]
- [39]
-
[40]
The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
J. Alwall et al., “The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations”,JHEP07 (2014) 079,doi:10.1007/JHEP07(2014)079,arXiv:1405.0301
- [41]
-
[42]
Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions
J. Alwall et al., “Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions”,Eur. Phys. J. C53(2008) 473, doi:10.1140/epjc/s10052-007-0490-5,arXiv:0706.2569
- [43]
- [44]
- [45]
- [46]
-
[47]
A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
S. Alioli, P . Nason, C. Oleari, and E. Re, “A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX”,JHEP06(2010) 043, doi:10.1007/JHEP06(2010)043,arXiv:1002.2581
- [48]
- [49]
- [50]
- [51]
- [52]
- [53]
-
[54]
Measurements of production cross sections of the Higgs boson in the four-lepton final state in proton–proton collisions at √s=13 TeV
CMS Collaboration, “Measurements of production cross sections of the Higgs boson in the four-lepton final state in proton–proton collisions at √s=13 TeV”,Eur. Phys. J. C81 (2021) 488,doi:10.1140/epjc/s10052-021-09200-x,arXiv:2103.04956
2021 doi
-
[55]
2HDECAY – A program for the calculation of electroweak one-loop corrections to Higgs decays in the Two-Higgs-Doublet Model including state-of-the-art QCD corrections
M. Krause, M. M ¨uhlleitner, and M. Spira, “2HDECAY – A program for the calculation of electroweak one-loop corrections to Higgs decays in the Two-Higgs-Doublet Model including state-of-the-art QCD corrections”,Comput. Phys. Commun.246(2020) 106852, doi:10.1016/j.cpc.2019.08.0...
2020 doi
- [56]
-
[57]
Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements
CMS Collaboration, “Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements”,Eur. Phys. J. C80(2020) 4, doi:10.1140/epjc/s10052-019-7499-4,arXiv:1903.12179
2020 doi
- [58]
-
[59]
GEANT4—a simulation toolkit
GEANT4 Collaboration, “GEANT4—a simulation toolkit”,Nucl. Instrum. Meth. A506 (2003) 250,doi:10.1016/S0168-9002(03)01368-8. References 13
2003 doi
- [60]
-
[61]
Fitting using finite Monte Carlo samples
R. J. Barlow and C. Beeston, “Fitting using finite Monte Carlo samples”,Comput. Phys. Commun.77(1993) 219,doi:10.1016/0010-4655(93)90005-W
1993 doi
-
[62]
The CMS statistical analysis and combination tool: Combine
CMS Collaboration, “The CMS statistical analysis and combination tool: Combine”, Comput. Softw. Big Sci.8(2024) 19,doi:10.1007/s41781-024-00121-4, arXiv:2404.06614
2024 doi
-
[63]
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, doi:10.1140/epjc/s10052-011-1554-0,arXiv:1007.1727. [Erratum: doi:10.1140/epjc/s10052-013-2501-z]
- [64]
-
[65]
Presentation of search results: The CL s technique
A. L. Read, “Presentation of search results: The CL s technique”,J. Phys. G28(2002) 2693, doi:10.1088/0954-3899/28/10/313
2002 doi
-
[66]
HiggsTools: BSM scalar phenomenology with new versions of HiggsBounds and HiggsSignals
H. Bahl et al., “HiggsTools: BSM scalar phenomenology with new versions of HiggsBounds and HiggsSignals”,Comput. Phys. Commun.291(2023) 108803, doi:10.1016/j.cpc.2023.108803,arXiv:2210.09332. 14 15 A The CMS Collaboration Yerevan Physics Institute, Yerevan, Armenia A. Hayrapet...
2023 doi
Reviewed May 19, 2026 · model on record in the stance chip above.
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