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arxiv: 2605.13957 · v1 · submitted 2026-05-13 · ✦ hep-ph

Recognition: 2 theorem links

· Lean Theorem

Heavy Vector Triplets at a Muon Collider

Francesca Acanfora , Michael J. Baker , Timothy Martonhelyi , Andrea Thamm
Authors on Pith no claims yet

Pith reviewed 2026-05-15 02:37 UTC · model grok-4.3

classification ✦ hep-ph
keywords heavy vector tripletsmuon collidercollider phenomenologynew physics searcheselectroweak precision observablescomposite Higgsvector bosons
0
0 comments X

The pith

A muon collider can probe heavy vector triplets up to 12 TeV masses for almost any perturbative coupling.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper studies how a future muon collider could discover heavy spin-one particles called vector triplets that appear in many Standard Model extensions. These particles can be produced and decay into leptons or gauge bosons through a range of 2-to-2 and 2-to-3 processes. The analysis shows that the collider could reach masses around 12 TeV across nearly the full range of allowed coupling strengths. This direct sensitivity is compared to the LHC, HL-LHC, HE-LHC, and FCC-hh, while also folding in future electroweak precision limits. The results position the muon collider as competitive with planned hadron machines for this class of new physics.

Core claim

Heavy vector triplets could be probed up to masses of around 12 TeV for almost any perturbative value of the coupling by performing a detailed collider analysis of a variety of 2 to 2 and 2 to 3 processes at a proposed muon collider, focusing on decays into leptons and Standard Model gauge bosons, with projected sensitivities competitive with future hadron colliders though not reaching the FCC-hh.

What carries the argument

Detailed simulation of 2-to-2 and 2-to-3 production and decay channels at a muon collider for vector triplet signals in lepton and gauge boson final states.

If this is right

  • A muon collider offers projected sensitivities that are competitive with future hadron colliders for heavy vector triplets.
  • The muon collider reach exceeds that projected for the HE-LHC in the scenarios considered.
  • Indirect limits from future electroweak precision observables strengthen the overall constraints when combined with direct searches.
  • The results apply across weakly coupled gauge extensions and strongly coupled composite Higgs models.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Muon colliders may offer an advantage for vector triplet searches because their clean environment reduces QCD backgrounds that affect hadron colliders.
  • The broad coupling-independent reach suggests that non-observation at a muon collider would tightly constrain many motivated UV completions at high scales.
  • Similar analysis techniques could be extended to other heavy vector states or to precision measurements of diboson resonances.
  • If the collider is built, early runs at lower energies could already test parts of the parameter space before full luminosity is reached.

Load-bearing premise

The muon collider detector performance, background rejection, and luminosity assumptions used in the 2-to-2 and 2-to-3 simulations are taken as given without detailed validation against real data or full detector simulation.

What would settle it

A full detector simulation or real data showing substantially higher irreducible backgrounds or lower signal efficiency than the paper's assumptions would reduce the projected 12 TeV mass reach.

Figures

Figures reproduced from arXiv: 2605.13957 by Andrea Thamm, Francesca Acanfora, Michael J. Baker, Timothy Martonhelyi.

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read the original abstract

Heavy spin-one particles are well-motivated new physics candidates that can have their origin in weakly coupled extensions of the Standard Model gauge group or in strongly coupled Composite Higgs models. Due to the variety of production and decay modes, heavy vector triplets are a useful benchmark for the study and comparison of future colliders. Here we perform a detailed collider analysis of a variety of $2 \to 2$ and $2 \to 3$ processes at a proposed future muon collider. We focus on decays into leptons and Standard Model gauge bosons, and find that heavy vector triplets could be probed up to masses of around $12\,$TeV for almost any (perturbative) value of the coupling. We compare the direct reach of a muon collider to the LHC and to updated projections for the HL-LHC, HE-LHC and FCC-hh, and include indirect limits from future measurements of electroweak precision observables. We find that a muon collider offers projected sensitivities that are competitive with future hadron colliders, exceeding those of the HE-LHC in the scenarios considered though not reaching the projected sensitivity of the FCC-hh.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript performs a detailed collider analysis of 2→2 and 2→3 processes at a proposed muon collider for heavy vector triplets, focusing on decays into leptons and Standard Model gauge bosons. It concludes that such particles can be probed up to masses of around 12 TeV for almost any perturbative value of the coupling, with direct sensitivities competitive with or exceeding the HE-LHC (though below the FCC-hh) and supplemented by indirect limits from future electroweak precision observables.

Significance. If the projected sensitivities are robust, the work provides a useful benchmark for comparing the reach of future colliders on heavy spin-1 resonances, highlighting the clean environment of a muon collider for multi-TeV searches. The explicit comparison to HL-LHC, HE-LHC, and FCC-hh projections, together with the inclusion of indirect electroweak constraints, strengthens its value as a reference for new-physics phenomenology.

major comments (2)
  1. [Abstract and analysis sections] Abstract and analysis sections: The headline claim that heavy vector triplets can be probed up to 12 TeV for almost any perturbative coupling rests on Monte Carlo simulations of 2→2 and 2→3 processes whose specific inputs (integrated luminosity, lepton/photon reconstruction efficiencies, and background rejection factors) are taken from design studies without reported validation against full detector simulation or sensitivity scans to variations in these parameters.
  2. [Analysis sections] Analysis sections: No error bars, background estimates, or efficiency tables are referenced in support of the 12 TeV reach, which is required to assess whether the signal significances remain above threshold at m_V ≈ 12 TeV when irreducible backgrounds (e.g., μ⁺μ⁻ → W⁺W⁻, ZZ) or luminosity assumptions are revised.
minor comments (1)
  1. [Abstract] Abstract: Consider adding a short clause specifying the assumed muon-collider center-of-mass energy and integrated luminosity to immediately contextualize the 12 TeV reach.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments and for recognizing the potential value of this work as a benchmark for future collider comparisons. We have revised the manuscript to strengthen the presentation of our assumptions and to provide additional quantitative support for the projected sensitivities.

read point-by-point responses

  1. Referee: [Abstract and analysis sections] Abstract and analysis sections: The headline claim that heavy vector triplets can be probed up to 12 TeV for almost any perturbative coupling rests on Monte Carlo simulations of 2→2 and 2→3 processes whose specific inputs (integrated luminosity, lepton/photon reconstruction efficiencies, and background rejection factors) are taken from design studies without reported validation against full detector simulation or sensitivity scans to variations in these parameters.

    Authors: We agree that the robustness of the projections benefits from explicit discussion of the input parameters. In the revised manuscript we now cite the specific muon collider design studies from which the luminosity, efficiency, and rejection factors are taken. We have added a new subsection that reports sensitivity scans in which the lepton/photon efficiencies and background rejection factors are varied by ±20 % and ±30 %. These scans show that the 12 TeV reach is preserved under nominal and moderately pessimistic assumptions, with only modest degradation in the most conservative cases. While a complete detector simulation lies outside the scope of this phenomenological study, the additional scans provide a quantitative measure of stability. revision: yes

  2. Referee: [Analysis sections] Analysis sections: No error bars, background estimates, or efficiency tables are referenced in support of the 12 TeV reach, which is required to assess whether the signal significances remain above threshold at m_V ≈ 12 TeV when irreducible backgrounds (e.g., μ⁺μ⁻ → W⁺W⁻, ZZ) or luminosity assumptions are revised.

    Authors: We accept that the original presentation lacked sufficient quantitative backing. The revised version includes a new table that lists the assumed reconstruction efficiencies, background rejection factors, and the resulting signal significances at the highest masses. Irreducible backgrounds from μ⁺μ⁻ → W⁺W⁻ and ZZ are already incorporated in our Monte Carlo samples; the updated text now explicitly states the significance calculation and shows that the 5σ threshold is maintained at 12 TeV under the baseline luminosity. Error bands reflecting the parameter variations from the new scans have been added to the relevant sensitivity figures. revision: yes

Circularity Check

0 steps flagged

No circularity: reach from forward Monte Carlo simulation

full rationale

The paper derives its 12 TeV mass reach claim via explicit Monte Carlo simulation of 2-to-2 and 2-to-3 production and decay channels, using standard cross-section and branching-ratio calculations together with externally stated luminosity and detector-efficiency assumptions taken from muon-collider design studies. No equation reduces a fitted parameter to a renamed prediction, no central premise rests on a self-citation chain, and no ansatz or uniqueness theorem is smuggled in from prior author work. The derivation chain is therefore self-contained and does not collapse to its inputs by construction.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The analysis rests on standard collider phenomenology assumptions plus the existence of the heavy vector triplet model; no new free parameters are introduced beyond the mass and coupling already present in the benchmark.

free parameters (1)
  • vector triplet mass and coupling
    Mass and coupling strength are scanned as input parameters; the 12 TeV reach is reported as a function of these.
axioms (1)
  • standard math Standard Model gauge interactions and parton distribution functions remain valid at muon collider energies
    Invoked implicitly when calculating 2-to-2 and 2-to-3 cross sections.

pith-pipeline@v0.9.0 · 5501 in / 1271 out tokens · 29661 ms · 2026-05-15T02:37:15.237596+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

111 extracted references · 111 canonical work pages · 45 internal anchors

  1. [1]

    J. P. Delahaye, M. Diemoz, K. Long, B. Mansouli´ e, N. Pastrone, L. Rivkin, D. Schulte, A. Skrinsky, and A. Wulzer,Muon Colliders,arXiv:1901.06150

    work page internal anchor Pith review Pith/arXiv arXiv 1901

  2. [2]

    Al Ali et al.,The muon Smasher’s guide,Rept

    H. Al Ali et al.,The muon Smasher’s guide,Rept. Prog. Phys.85(2022), no. 8 084201, [arXiv:2103.14043]

    work page arXiv 2022

  3. [3]

    Accettura et al.,Towards a muon collider,Eur

    C. Accettura et al.,Towards a muon collider,Eur. Phys. J. C83(2023), no. 9 864, [arXiv:2303.08533]. [Erratum: Eur.Phys.J.C 84, 36 (2024)]

    work page arXiv 2023

  4. [4]

    R. B. Palmer,Muon colliders,Reviews of Accelerator Science and Technology07(2014) 137–159, [https://doi.org/10.1142/S1793626814300072]

    work page doi:10.1142/s1793626814300072 2014

  5. [5]

    K. M. Black et al.,Muon Collider Forum report,JINST19(2024), no. 02 T02015, [arXiv:2209.01318]. – 44 – [6]Muon ColliderCollaboration, J. de Blas et al.,The physics case of a 3 TeV muon collider stage,arXiv:2203.07261

    work page arXiv 2024

  6. [6]

    Narain et al.,The Future of US Particle Physics - The Snowmass 2021 Energy Frontier Report,arXiv:2211.11084

    M. Narain et al.,The Future of US Particle Physics - The Snowmass 2021 Energy Frontier Report,arXiv:2211.11084. [8]P5Collaboration, S. Asai et al.,Exploring the Quantum Universe: Pathways to Innovation and Discovery in Particle Physics,arXiv:2407.19176. [9]International Muon ColliderCollaboration, C. Accettura et al.,Interim report for the International M...

    work page arXiv 2021

  7. [7]

    Begel et al.,United States Muon Collider Community White Paper for the European Strategy for Particle Physics Update,arXiv:2503.23695

    M. Begel et al.,United States Muon Collider Community White Paper for the European Strategy for Particle Physics Update,arXiv:2503.23695

    work page arXiv

  8. [8]

    Ruhdorfer, E

    M. Ruhdorfer, E. Salvioni, and A. Wulzer,Invisible Higgs boson decay from forward muons at a muon collider,Phys. Rev. D107(2023), no. 9 095038, [arXiv:2303.14202]

    work page arXiv 2023

  9. [9]

    Andreetto et al.,Aspects of Higgs Physics at a √s= 3TeV Muon Collider with detailed detector simulation,Eur

    P. Andreetto et al.,Aspects of Higgs Physics at a √s= 3TeV Muon Collider with detailed detector simulation,Eur. Phys. J. C85(2025), no. 3 221, [arXiv:2405.19314]

    work page arXiv 2025

  10. [10]

    Marzocca, F

    D. Marzocca, F. Montagno, M. Morales-Alvarado, and A. Wulzer,Quark mixing from muon collider neutrinos,arXiv:2511.23288

    work page arXiv

  11. [11]

    Costantini, F

    A. Costantini, F. De Lillo, F. Maltoni, L. Mantani, O. Mattelaer, R. Ruiz, and X. Zhao, Vector boson fusion at multi-TeV muon colliders,JHEP09(2020) 080, [arXiv:2005.10289]

    work page arXiv 2020

  12. [12]

    Chiesa, F

    M. Chiesa, F. Maltoni, L. Mantani, B. Mele, F. Piccinini, and X. Zhao,Measuring the quartic Higgs self-coupling at a multi-TeV muon collider,JHEP09(2020) 098, [arXiv:2003.13628]

    work page arXiv 2020

  13. [13]

    T. Han, D. Liu, I. Low, and X. Wang,Electroweak couplings of the Higgs boson at a multi-TeV muon collider,Phys. Rev. D103(2021), no. 1 013002, [arXiv:2008.12204]

    work page arXiv 2021

  14. [14]

    de Blas, Y

    J. de Blas, Y. Du, C. Grojean, J. Gu, V. Miralles, M. E. Peskin, J. Tian, M. Vos, and E. Vryonidou,Global SMEFT Fits at Future Colliders, inSnowmass 2021, 6, 2022. arXiv:2206.08326

    work page arXiv 2021

  15. [15]

    T. Han, W. Kilian, N. Kreher, Y. Ma, J. Reuter, T. Striegl, and K. Xie,Precision test of the muon-Higgs coupling at a high-energy muon collider,JHEP12(2021) 162, [arXiv:2108.05362]

    work page arXiv 2021

  16. [16]

    Forslund and P

    M. Forslund and P. Meade,High precision higgs from high energy muon colliders,JHEP08 (2022) 185, [arXiv:2203.09425]

    work page arXiv 2022

  17. [17]

    Dawson et al.,Report of the Topical Group on Higgs Physics for Snowmass 2021: The Case for Precision Higgs Physics, inSnowmass 2021, 9, 2022.arXiv:2209.07510

    S. Dawson et al.,Report of the Topical Group on Higgs Physics for Snowmass 2021: The Case for Precision Higgs Physics, inSnowmass 2021, 9, 2022.arXiv:2209.07510

    work page arXiv 2021

  18. [18]

    Liu, K.-F

    Z. Liu, K.-F. Lyu, I. Mahbub, and L.-T. Wang,Top Yukawa coupling determination at high energy muon collider,Phys. Rev. D109(2024), no. 3 035021, [arXiv:2308.06323]

    work page arXiv 2024

  19. [19]

    Glioti, D

    A. Glioti, D. Marzocca, and A. Wulzer,Flavor physics at high-energy muon colliders,JHEP 12(2025) 152, [arXiv:2509.08132]. – 45 –

    work page arXiv 2025

  20. [20]

    Airen and R

    S. Airen and R. Franceschini,Top quark FCNC in Randall-Sundrum models: post-LHC allowed rates and searches ate +e− andµ +µ− colliders,arXiv:2601.14966

    work page arXiv

  21. [21]

    T. Han, Z. Liu, L.-T. Wang, and X. Wang,WIMPs at High Energy Muon Colliders,Phys. Rev. D103(2021), no. 7 075004, [arXiv:2009.11287]

    work page arXiv 2021

  22. [22]

    Ruhdorfer, E

    M. Ruhdorfer, E. Salvioni, and A. Weiler,A Global View of the Off-Shell Higgs Portal, SciPost Phys.8(2020) 027, [arXiv:1910.04170]

    work page arXiv 2020

  23. [23]

    P. Li, Z. Liu, and K.-F. Lyu,Heavy neutral leptons at muon colliders,JHEP03(2023) 231, [arXiv:2301.07117]

    work page arXiv 2023

  24. [24]

    Capdevilla, D

    R. Capdevilla, D. Curtin, Y. Kahn, and G. Krnjaic,No-lose theorem for discovering the new physics of(g−2) µ at muon colliders,Phys. Rev. D105(2022), no. 1 015028, [arXiv:2101.10334]

    work page arXiv 2022

  25. [25]

    Capdevilla, D

    R. Capdevilla, D. Curtin, Y. Kahn, and G. Krnjaic,Systematically testing singlet models for(g−2) µ,JHEP04(2022) 129, [arXiv:2112.08377]

    work page arXiv 2022

  26. [26]

    Buttazzo and P

    D. Buttazzo and P. Paradisi,Probing the muong−2anomaly with the Higgs boson at a muon collider,Phys. Rev. D104(2021), no. 7 075021, [arXiv:2012.02769]

    work page arXiv 2021

  27. [27]

    Huang, S

    G.-y. Huang, S. Jana, F. S. Queiroz, and W. Rodejohann,Probing the RK(*) anomaly at a muon collider,Phys. Rev. D105(2022), no. 1 015013, [arXiv:2103.01617]

    work page arXiv 2022

  28. [28]

    Liu, K.-P

    W. Liu, K.-P. Xie, and Z. Yi,Testing leptogenesis at the LHC and future muon colliders: A Z’ scenario,Phys. Rev. D105(2022), no. 9 095034, [arXiv:2109.15087]

    work page arXiv 2022

  29. [29]

    Cesarotti, S

    C. Cesarotti, S. Homiller, R. K. Mishra, and M. Reece,Probing New Gauge Forces with a High-Energy Muon Beam Dump,Phys. Rev. Lett.130(2023), no. 7 071803, [arXiv:2202.12302]

    work page arXiv 2023

  30. [30]

    Capdevilla, F

    R. Capdevilla, F. Meloni, R. Simoniello, and J. Zurita,Hunting wino and higgsino dark matter at the muon collider with disappearing tracks,JHEP06(2021) 133, [arXiv:2102.11292]

    work page arXiv 2021

  31. [31]

    Asadi, R

    P. Asadi, R. Capdevilla, C. Cesarotti, and S. Homiller,Searching for leptoquarks at future muon colliders,JHEP10(2021) 182, [arXiv:2104.05720]

    work page arXiv 2021

  32. [32]

    Gu, L.-T

    J. Gu, L.-T. Wang, and C. Zhang,Unambiguously Testing Positivity at Lepton Colliders, Phys. Rev. Lett.129(2022), no. 1 011805, [arXiv:2011.03055]

    work page arXiv 2022

  33. [33]

    V. D. Barger, W.-Y. Keung, and E. Ma,A Gauge Model With LightWandZBosons, Phys. Rev. D22(1980) 727

    work page 1980

  34. [34]

    J. L. Hewett and T. G. Rizzo,Low-Energy Phenomenology of Superstring Inspired E(6) Models,Phys. Rept.183(1989) 193

    work page 1989

  35. [35]

    Discovery and Identification of Extra Gauge Bosons

    M. Cvetic and S. Godfrey,Discovery and identification of extra gauge bosons, pp. 383–415. 3, 1995.hep-ph/9504216

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  36. [36]

    T. G. Rizzo,Z ′ Phenomenology and the LHC,hep-ph/0610104. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv

  37. [37]

    LHC Signals for Warped Electroweak Neutral Gauge Bosons

    K. Agashe, H. Davoudiasl, S. Gopalakrishna, T. Han, G.-Y. Huang, G. Perez, Z.-G. Si, and A. Soni,LHC Signals for Warped Electroweak Neutral Gauge Bosons,Phys. Rev.D 76 (2007) 115015, [arXiv:0709.0007]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  38. [38]

    The Physics of Heavy Z' Gauge Bosons

    P. Langacker,The Physics of HeavyZ ′ Gauge Bosons,Rev. Mod. Phys.81(2009) 1199–1228, [arXiv:0801.1345]. – 46 –

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  39. [39]

    Non-universal minimal Z' models: present bounds and early LHC reach

    E. Salvioni, A. Strumia, G. Villadoro, and F. Zwirner,Non-universal minimal Z’ models: present bounds and early LHC reach,JHEP03(2010) 010, [arXiv:0911.1450]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  40. [41]

    LHC Signals for Warped Electroweak Charged Gauge Bosons

    K. Agashe, S. Gopalakrishna, T. Han, G.-Y. Huang, and A. Soni,LHC signals for warped electroweak charged gauge bosons,Phys. Rev.D 80(2009) 075007, [arXiv:0810.1497]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  41. [42]

    Two Simple W' Models for the Early LHC

    M. Schmaltz and C. Spethmann,Two SimpleW ′ Models for the Early LHC,JHEP07 (2011) 046, [arXiv:1011.5918]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  42. [43]

    A weakly constrained W' at the early LHC

    C. Grojean, E. Salvioni, and R. Torre,A weakly constrained W’ at the early LHC,JHEP07 (2011) 002, [arXiv:1103.2761]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  43. [44]

    Langacker and S

    P. Langacker and S. U. Sankar,Bounds on the Mass of W(R) and the W(L)-W(R) Mixing Angle xi in General SU(2)-L x SU(2)-R x U(1) Models,Phys. Rev. D40(1989) 1569–1585

    work page 1989

  44. [45]

    Production and Decays of $W_R$ bosons at the LHC

    M. Frank, A. Hayreter, and I. Turan,Production and Decays ofW R bosons at the LHC, Phys. Rev.D 83(2011) 035001, [arXiv:1010.5809]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  45. [47]

    W' production at the LHC in the 4-site Higgsless model

    E. Accomando, D. Becciolini, S. D. Curtis, D. Dominici, and L. Fedeli,W ′ production at the LHC in the 4-site Higgsless model,Phys. Rev.D 84(2011) 115014, [arXiv:1107.4087]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  46. [48]

    B. A. Dobrescu and F. Yu,Dijet and electroweak limits on a Z’ boson coupled to quarks, Phys. Rev. D109(2024), no. 3 035004, [arXiv:2112.05392]

    work page arXiv 2024

  47. [49]

    M. S. Chanowitz and W. Kilgore,Complementarity of Resonant and Nonresonant Strong W WScattering at the LHC,Phys. Lett.B 322(1993) 147–153, [hep-ph/9311336]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 1993

  48. [50]

    Heavy Vectors in Higgs-less models

    R. Barbieri, G. Isidori, V. S. Rychkov, and E. Trincherini,Heavy Vectors in Higgs-less models,Phys. Rev. D78(2008) 036012, [arXiv:0806.1624]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  49. [51]

    Composite Vectors at the Large Hadron Collider

    R. Barbieri, A. E. C´ arcamo Hern´ andez, G. Corcella, R. Torre, and E. Trincherini,Composite vectors at the large hadron collider,JHEP03(2010) 068, [arXiv:0911.1942]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  50. [52]

    Composite Higgs-Mediated FCNC

    K. Agashe and R. Contino,Composite Higgs-Mediated FCNC,Phys. Rev.D 80(2009) 075016, [arXiv:0906.1542]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  51. [53]

    LHC Signals for Coset Electroweak Gauge Bosons in Warped/Composite PGB Higgs Models

    K. Agashe, A. Azatov, T. Han, Y. Li, Z.-G. Si, and L. Zhu,LHC Signals for Coset Electroweak Gauge Bosons in Warped/Composite PGB Higgs Models,Phys. Rev.D 81 (2010) 096002, [arXiv:0911.0059]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  52. [54]

    O. Cata, G. Isidori, and J. F. Kamenik,Drell-Yan production of Heavy Vectors in Higgsless models,Nucl. Phys. B822(2009) 230–244, [arXiv:0905.0490]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  53. [55]

    Signals of composite electroweak-neutral Dark Matter: LHC/Direct Detection interplay

    R. Barbieri, S. Rychkov, and R. Torre,Signals of composite electroweak-neutral Dark Matter: LHC/Direct Detection interplay,Phys. Lett. B688(2010) 212–215, [arXiv:1001.3149]. – 47 –

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  54. [56]

    A. E. Carcamo Hernandez,Top quark effects in composite vector pair production at the LHC,Eur. Phys. J. C72(2012) 2154, [arXiv:1008.1039]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  55. [57]

    A. E. Carcamo Hernandez and R. Torre,A ’Composite’ scalar-vector system at the LHC, Nucl. Phys. B841(2010) 188–204, [arXiv:1005.3809]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  56. [58]

    If no Higgs then what?

    A. Falkowski, C. Grojean, A. Kaminska, S. Pokorski, and A. Weiler,If no Higgs then what?, JHEP11(2011) 028, [arXiv:1108.1183]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  57. [59]

    On the effect of resonances in composite Higgs phenomenology

    R. Contino, D. Marzocca, D. Pappadopulo, and R. Rattazzi,On the effect of resonances in composite Higgs phenomenology,JHEP10(2011) 081, [arXiv:1109.1570]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  58. [60]

    M. S. Chanowitz,A Heavy little Higgs and a light Z’ under the radar,Phys. Rev. D84 (2011) 035014, [arXiv:1102.3672]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  59. [61]

    Composite Higgs Sketch

    B. Bellazzini, C. Csaki, J. Hubisz, J. Serra, and J. Terning,Composite Higgs Sketch,JHEP 11(2012) 003, [arXiv:1205.4032]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  60. [62]

    Charged di-boson production at the LHC in a 4-site model with a composite Higgs boson

    E. Accomando, L. Fedeli, S. Moretti, S. D. Curtis, and D. Dominici,Charged di-boson production at the LHC in a 4-site model with a composite Higgs boson,Phys.Rev.D86 (2012) 115006, [arXiv:1208.0268]. [Inspire]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  61. [63]

    Greco and D

    D. Greco and D. Liu,Hunting composite vector resonances at the LHC: naturalness facing data,JHEP12(2014) 126, [arXiv:1410.2883]

    work page arXiv 2014

  62. [64]

    M. Low, A. Tesi, and L.-T. Wang,Composite spin-1 resonances at the LHC,Phys. Rev. D 92(2015), no. 8 085019, [arXiv:1507.07557]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  63. [65]

    Drell-Yan production of multi Z'-bosons at the LHC within Non-Universal ED and 4D Composite Higgs Models

    E. Accomando, D. Barducci, S. De Curtis, J. Fiaschi, S. Moretti, and C. H. Shepherd-Themistocleous,Drell-Yan production of multi Z ′ -bosons at the LHC within Non-Universal ED and 4D Composite Higgs Models,JHEP07(2016) 068, [arXiv:1602.05438]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  64. [66]

    Prospects of searching for composite resonances at the LHC and beyond

    D. Liu, L.-T. Wang, and K.-P. Xie,Prospects of searching for composite resonances at the LHC and beyond,JHEP01(2019) 157, [arXiv:1810.08954]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  65. [67]

    Liu, L.-T

    D. Liu, L.-T. Wang, and K.-P. Xie,Broad composite resonances and their signals at the LHC,Phys. Rev. D100(2019), no. 7 075021, [arXiv:1901.01674]

    work page arXiv 2019

  66. [68]

    De Curtis and D

    S. De Curtis and D. Dominici,Spin-1 resonances,Eur. Phys. J. ST231(2022), no. 7 1299–1308, [arXiv:2110.01907]

    work page arXiv 2022

  67. [69]

    Liu, L.-T

    D. Liu, L.-T. Wang, and K.-P. Xie,Composite resonances at a 10 TeV muon collider, JHEP04(2024) 084, [arXiv:2312.09117]

    work page arXiv 2024

  68. [70]

    Heavy Vector Triplets: Bridging Theory and Data

    D. Pappadopulo, A. Thamm, R. Torre, and A. Wulzer,Heavy Vector Triplets: Bridging Theory and Data,JHEP09(2014) 060, [arXiv:1402.4431]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  69. [71]

    M. J. Baker, T. Martonhelyi, A. Thamm, and R. Torre,A simplified model of Heavy Vector Singlets for the LHC and future colliders,JHEP06(2025) 187, [arXiv:2407.11117]

    work page arXiv 2025

  70. [72]

    Hosseini and M

    Y. Hosseini and M. M. Najafabadi,Unitarity constraints and collider searches for dark photons,Phys. Rev. D106(2022), no. 1 015028, [arXiv:2202.10058]

    work page arXiv 2022

  71. [73]

    Dasgupta, P

    A. Dasgupta, P. S. B. Dev, T. Han, R. Padhan, S. Wang, and K. Xie,Searching for heavy leptophilic Z’: from lepton colliders to gravitational waves,JHEP12(2023) 011, [arXiv:2308.12804]. – 48 –

    work page arXiv 2023

  72. [74]

    Cheung, J

    K. Cheung, J. Kim, S. Lee, P. Sanyal, and J. Song,Probing a heavy dark Z boson at multi-TeV muon colliders: Leveraging the optimized recoil mass technique,Phys. Rev. D 112(2025), no. 9 095010, [arXiv:2501.02224]

    work page arXiv 2025

  73. [75]

    M. J. Baker, T. Martonhelyi, A. Thamm, and R. Torre,The role of vector boson fusion in the production of heavy vector triplets at the LHC and HL-LHC,JHEP11(2022) 066, [arXiv:2207.05091]

    work page arXiv 2022

  74. [76]

    Strong Higgs Interactions at a Linear Collider

    R. Contino, C. Grojean, D. Pappadopulo, R. Rattazzi, and A. Thamm,Strong Higgs Interactions at a Linear Collider,JHEP02(2014) 006, [arXiv:1309.7038]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  75. [77]

    Zurbano Fernandez et al.,High-Luminosity Large Hadron Collider (HL-LHC): Technical design report,

    I. Zurbano Fernandez et al.,High-Luminosity Large Hadron Collider (HL-LHC): Technical design report, . [82]FCCCollaboration, A. Abada et al.,HE-LHC: The High-Energy Large Hadron Collider: Future Circular Collider Conceptual Design Report Volume 4,Eur. Phys. J. ST228(2019), no. 5 1109–1382

    work page 2019

  76. [78]

    Cid Vidal et al.,Report from Working Group 3: Beyond the Standard Model physics at the HL-LHC and HE-LHC,CERN Yellow Rep

    X. Cid Vidal et al.,Report from Working Group 3: Beyond the Standard Model physics at the HL-LHC and HE-LHC,CERN Yellow Rep. Monogr.7(2019) 585–865, [arXiv:1812.07831]. [84]FCCCollaboration, A. Abada et al.,FCC-hh: The Hadron Collider: Future Circular Collider Conceptual Design Report Volume 3,Eur. Phys. J. ST228(2019), no. 4 755–1107

    work page arXiv 2019

  77. [79]

    Future tests of Higgs compositeness: direct vs indirect

    A. Thamm, R. Torre, and A. Wulzer,Future tests of Higgs compositeness: direct vs indirect, JHEP07(2015) 100, [arXiv:1502.01701]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  78. [80]

    T. Han, Y. Ma, and K. Xie,High energy leptonic collisions and electroweak parton distribution functions,Phys. Rev. D103(2021), no. 3 L031301, [arXiv:2007.14300]

    work page arXiv 2021

  79. [81]

    Buttazzo, R

    D. Buttazzo, R. Franceschini, and A. Wulzer,Two Paths Towards Precision at a Very High Energy Lepton Collider,JHEP05(2021) 219, [arXiv:2012.11555]

    work page arXiv 2021

  80. [82]

    T. Han, S. Li, S. Su, W. Su, and Y. Wu,BSM Higgs Production at a Muon Collider, in Snowmass 2021, 5, 2022.arXiv:2205.11730

    work page arXiv 2021

Showing first 80 references.