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REVIEW 3 major objections 3 minor 42 references

Displaced-decay searches at FCC-hh could measure the temperature at which an early matter-dominated era ended, mapping scalar masses and Higgs mixing angles in the 3–15 GeV, 6×10^-6–3×10^-3 range onto reheating temperatures from roughly the

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2026-08-01 09:48 UTC pith:OPH7C7Y6

load-bearing objection A clean mapping from FCC-hh displaced decays to the reheating temperature of a Higgs-portal scalar, honest about its conditional assumptions and worth a round of refereeing. the 3 major comments →

arxiv 2607.20625 v1 pith:OPH7C7Y6 submitted 2026-07-22 hep-ph hep-ex

Reheating the FCC: Probing Early Matter Domination with Long-Lived Particles

Nicol\'as Bernal , Giovanna Cottin , Kuldeep Deka , Manuel L\'opez This is my paper
classification hep-ph hep-ex
keywords early matter dominationreheating temperatureHiggs-portal scalarlong-lived particlesdisplaced verticesFCC-hhfinite-temperature decay widthGeV-scale scalar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The paper aims to turn long-lived-particle searches at a future hadron collider into a direct probe of the Universe's pre-Big-Bang-nucleosynthesis expansion history. It studies a minimal extension of the Standard Model: a GeV-scale scalar that mixes with the Higgs boson, can dominate the energy density of the early Universe, and decays into Standard Model fermions. Because the same mixing angle controls both the cosmic decay rate and the collider production rate, the particle's displaced decays at FCC-hh can be translated into the reheating temperature T_rh at which the matter-dominated era ended. The key refinement is a finite-temperature decay width, suppressed by Pauli blocking and inverse decays, which lowers T_rh relative to vacuum-decay estimates. The central result is a map showing that FCC-hh displaced-vertex searches could probe transition temperatures from roughly the GeV scale up to the electroweak scale, within the broken-phase Higgs-portal description.

Core claim

The paper's central claim is that a GeV-scale Higgs-portal scalar phi, if it once dominated the energy density of the early Universe, leaves a collider-visible remnant: because its decays are suppressed by a small Higgs mixing angle, it is long-lived and can decay inside FCC-hh detectors. The same mixing angle sets both its cosmic lifetime and its production rate at colliders, so observing displaced decays would fix the decay width and, through the relation H(T_rh)=Gamma_phi(T_rh), determine the temperature T_rh at which phi-matter gave way to radiation domination. The paper shows that the finite-temperature decay width Gamma_phi(T)=Gamma0 tanh(m_phi/4T) lowers T_rh relative to vacuum-decay

What carries the argument

The engine of the paper is the Higgs-mixing angle θ. After electroweak symmetry breaking, a real singlet scalar φ mixes with the Higgs boson, and every φ coupling to Standard Model fermions is proportional to sin θ. This one parameter governs three observables at once: the vacuum decay width Γ0 = sin²θ Γ_SM_h(m_φ), the gluon-fusion production cross-section at a proton collider (also suppressed by sin θ), and the proper decay length cτ. The bridge to cosmology is the in-medium decay width Γφ(T)=Γ0 tanh(m_φ/(4T)), derived from the Boltzmann collision term with Pauli blocking and inverse decays; using H(T_rh)=Γφ(T_rh) converts a measured lifetime into a reheating temperature. Equation (3.6) mak

Load-bearing premise

The load-bearing assumption is that the scalar φ actually dominated the total energy density of the Universe at some early time; the paper explicitly remains agnostic about how it was produced, so if φ's primordial abundance was too small—or if it never came to dominate—the observed displaced decays would carry no information about reheating or radiation domination.

What would settle it

If FCC-hh runs at 100 TeV with 20 ab^-1 and finds zero displaced-vertex events in the region 3 GeV < m_φ < 15 GeV with 6×10^-6 < sinθ < 3×10^-3, the paper's central reach claim is falsified under its idealized background-free N=3 criterion. Conversely, a precise measurement of the Higgs mixing angle from another channel that is incompatible with the assumed single-angle link would break the map between collider lifetimes and T_rh.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If a displaced vertex is seen at FCC-hh with mass and mixing in the quoted range, the corresponding reheating temperature must lie between roughly the GeV scale and the electroweak scale, meaning the early Universe went through a matter-dominated phase that ended before BBN.
  • A null result in the full reach region would rule out Higgs-portal scalars as the driver of an early matter-dominated era in this mass/mixing window, as well as Higgs-portal reheating with T_rh in that range.
  • The finite-temperature suppression means that for T_rh > m_φ/4, the lifetime implied by a given collider signal is longer than the vacuum estimate, so cosmological constraints derived from vacuum decays would overestimate T_rh.
  • The LHC's displaced-vertex searches cannot reach this model because production is too suppressed and the decay products are too soft, so FCC-hh is the practical path to test this cosmological scenario.
  • The reach lies above T_BBN ≈ 4 MeV, so the eras that could be probed are all consistent with standard BBN predictions.

Where Pith is reading between the lines

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

  • Inference: The map can be read backwards: a measured displaced-decay signal would fix m_φ and sinθ and therefore predict T_rh, which could then be compared with independent cosmological probes of early matter domination (e.g., gravitational-wave spectra) to test whether the scalar was indeed the agent that ended the matter-dominated era.
  • Inference: The tanh thermal suppression is derived for fermionic final states; extending the same plasma calculation to decays into gauge bosons would be needed before applying the map to scalar masses above the electroweak scale, where gauge-boson channels open.
  • Inference: Since the production mechanism of φ is left unspecified, a future measurement would not by itself distinguish ordinary inflaton reheating from a modulus-like matter component; complementary observables would be required to pin down the origin of the early matter dominance.
  • Inference: A detector-level background study would turn the idealized zero-background reach curves into actual exclusion or discovery limits; the same mapping machinery would carry over unchanged.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

3 major / 3 minor

Summary. The paper studies a minimal Higgs-portal extension with a real singlet scalar φ that mixes with the SM Higgs, and assumes that φ dominated the energy density of the early Universe before decaying into SM states. Including a finite-temperature suppression of the decay width, Γφ(T)=Γφ(0) tanh(mφ/4T), the authors derive the transition temperature T_rh at the end of the φ-dominated era and express sin^2θ as a function of mφ and T_rh (Eq. 3.6). They then simulate gluon-fusion production and displaced decays of φ at the LHC and FCC-hh, using the DDC acceptance package for the central tracker, a forward tracker, and FOREHUNT. The projected reach is mapped onto the [mφ, T_rh] plane, giving the paper's central claim: FCC-hh displaced searches could probe early matter-domination transition temperatures from about the GeV scale up to the electroweak scale, within the broken-phase Higgs-portal description.

Significance. If the assumptions hold, this is a valuable and timely proof-of-principle: it connects a concrete, minimal LLP collider signature to a pre-BBN cosmological parameter. The finite-temperature derivation in Appendix A is clean, and the compact piecewise formulas and Eq. (3.6) are internally consistent. A notable strength is that the map is not circular: the same mixing angle controls both collider production/decay and the cosmological width, and no parameters are fitted to data. The paper is honest about its main limitations — the assumed φ-dominated epoch, the partonic hadronic-width approximation, and the idealized zero-background N=3 criterion. The significance is therefore that of a conditional sensitivity study; a fully model-independent prediction of the early-universe history would require a production mechanism for the φ abundance and a more robust treatment of low-mass hadronic widths.

major comments (3)
  1. [Secs. 2–3, pp. 5, and Eq. (2.1)] The cosmological interpretation is explicitly conditional on the field φ having dominated the energy density at some early time. The paper states 'We remain agnostic about the mechanism that produced the primordial abundance of φ and simply assume that, at some early time, its energy density dominates' (Sec. 2–3, p. 5) and later 'This is our working assumption' (Sec. 3, p. 5). I agree that this is an intended working assumption, not an internal inconsistency. However, the minimal Lagrangian in Eq. (2.1) contains no mechanism that produces a dominant φ population; freeze-in through the same Higgs mixing typically gives a yield many orders of magnitude too small. The 'ordinary cosmic reheating' interpretation requires φ to be the inflaton/reheaton, which demands an inflationary sector not present in the truncated model. For the broader 'modulus-like' interpretation, a concrete early-univer
  2. [Sec. 3, Fig. 1, and Eq. (3.6)] The mapping and the collider reach both depend on the zero-temperature width Γφ(0) ∝ sin^2θ Γ_SM^h(mφ), with Γ_SM^h computed from MadGraph partonic widths. The paper acknowledges that 'below the b-quark threshold, the Higgs-like scalar width is subject to hadronic uncertainties' and leaves 'a treatment with dedicated light-scalar hadronic widths for future work.' This is not a negligible detail: the main sensitivity region shown in Fig. 7 is roughly 3 GeV ≲ mφ ≲ 15 GeV, where the width is dominated by non-perturbative QCD for mφ below the b threshold. Since T_rh in Eq. (3.6) and the proper lifetime cτ in Fig. 4 both scale directly with Γ_SM, an uncontrolled O(1–5) uncertainty in the hadronic width translates directly into an uncertainty in the quoted Trh bands and in the reach contours. I request a quantitative estimate: for example, compare the partonic width with known light-scalar had
  3. [Sec. 4, Eq. (4.5), and Fig. 6] The projected reach is based on N=3 signal events with no background model. The paper is transparent: 'We do not model these backgrounds here and therefore interpret the N=3 contour ... as an idealized zero-background benchmark.' For a low-mass scalar decaying to soft jets, realistic backgrounds at a 100 TeV pp machine — heavy-flavor vertices, material interactions, pile-up, and track fakes — could substantially alter the N=3 contours. I do not ask for a full detector simulation, but the central claim that FCC-hh 'could probe' these temperatures would be strengthened by either a crude background estimate for the central tracker or an explicit statement that the result is a best-case sensitivity projection rather than a discovery reach. As written, the concluding sentence 'FCC-hh displaced searches could probe...' is slightly stronger than what is demonstrated.
minor comments (3)
  1. [Sec. 5, Fig. 7 right panel] The text notes that the part of the mapped reach with T_rh > T_EW is a 'formal extrapolation,' but the figure does not visibly distinguish these segments. Please use dashed curves or a shading change so the reader immediately sees that the broken-phase interpretation stops at T_EW.
  2. [Eqs. (3.4)–(3.5)] Eq. (3.4) assumes a radiation-dominated Hubble rate, while at the equality of ρφ and ρ_R the total energy density is twice the radiation density. The resulting O(1) numerical factor (about 2^{1/4} in T_rh) is absorbed in the 'standard analytic estimate' wording. Please state explicitly that Eq. (3.5) is the conventional instant-reheating estimate, not the exact equality condition, to avoid confusion with the definition of T_rh given in the text.
  3. [Sec. 2, Eq. (2.1)] The terminology switches between 'inflaton,' 'reheaton,' and 'modulus-like field.' It would be helpful to specify which interpretation is used when the final map is presented in Fig. 7; for the inflaton/reheaton case the assumption of domination is automatic, whereas for the modulus case it is not.

Circularity Check

0 steps flagged

No significant circularity: the T_rh map is derived from the same sinθ that controls collider production/decay, not fitted to the same observable, and the abundance assumption is an acknowledged external input.

full rationale

The paper's derivation chain is self-contained. The decay width Γφ(T) = Γφ(0) tanh(mφ/4T) is derived in Appendix A from the unintegrated Boltzmann equation with thermal Fermi-Dirac final states, and the same result is cross-checked against Ref. [9]; this is not an ansatz imported by citation. The reheating temperature T_rh is obtained from H(T_rh) = Γφ(T_rh), Eq. (3.4) and the analytic estimates in Eqs. (3.5)/(A.16), with Eq. (3.6) merely inverting this relation. The FCC-hh reach is computed independently from σ(pp→φ) and the detector acceptance via Eq. (4.5), using the same sinθ that enters Γφ. Therefore Fig. 7 is a coordinate transformation of the independently computed sensitivity region, not a fit or a self-justifying prediction. The only explicit external input is the assumption that φ dominated the early Universe energy density: 'We remain agnostic about the mechanism that produced the primordial abundance of φ and simply assume that, at some early time, its energy density dominates' and 'This is our working assumption.' This is an acknowledged physical limitation, not a circular step: the collider-to-cosmology mapping is conditional on that assumption, but the mapping itself is not derived from the assumption. The self-citations (Refs. [38], [39], [45]) are used for LHC-sensitivity context, detector-acceptance tools, and a recast procedure; none is load-bearing for the central claim in a way that reduces to the authors' own unverified results. Consequently, no pattern from the enumerated list applies and the circularity score is 0.

Axiom & Free-Parameter Ledger

0 free parameters · 6 axioms · 1 invented entities

The central claim rests on the assumption of early matter domination, the thermal equilibrium of final-state fermions, and the analytic H=Γ estimate. No fitted free parameters are introduced; φ is a standard extension with falsifiable collider signatures.

axioms (6)
  • domain assumption The scalar φ dominates the energy density of the Universe at some early time before decaying.
    Section 3 (cosmology part): 'The energy density stored in φ could have dominated the total energy density of the early Universe. This is our working assumption.' The entire T_rh interpretation rests on this.
  • domain assumption Decay products of φ (SM fermions) are in full thermal equilibrium with zero chemical potential and negligible thermal masses in the early Universe.
    Appendix A, after Eq. (A.7): 'We emphasize that this result assumes that the fermions in the final state are in full thermal equilibrium ... and negligible thermal masses.' Needed for the tanh formula.
  • domain assumption φ is non-relativistic in the early Universe; the Boltzmann equation is integrated in the non-relativistic limit.
    Appendix A, Eqs. (A.8)-(A.13): 'The integrated collision terms can be analytically solved in the non-relativistic limit for the inflaton.'
  • domain assumption The reheating temperature is estimated by the analytic condition H(Trh)=Γφ(Trh) rather than solving the full coupled Boltzmann equations.
    Section 3: 'we use the standard analytic estimate H(Trh)=Γφ(Trh), which captures the parametric dependence.' It is a standard approximation but ignores details of the φ-to-radiation transition.
  • ad hoc to paper The model is a truncated effective potential: quadratic φ²|Φ|², trilinear and quartic φ self-interactions are neglected; the UV sector is assumed to stabilize the potential.
    Section 2, below Eq. (2.1): 'For phenomenological purposes, we neglect the possible quadratic term ... this is a truncated effective model... we assume that the omitted UV sector stabilizes the potential.' This affects production and decay channels.
  • domain assumption The zero-background N=3 sensitivity criterion is used as a proxy for discovery reach; no detector backgrounds are modeled.
    Section 4, after Eq. (4.5): 'We do not model these backgrounds here and therefore interpret the N=3 contour ... as an idealized zero-background benchmark.'
invented entities (1)
  • Real singlet scalar φ (Higgs-portal scalar) independent evidence
    purpose: Drives an early matter-dominated era and serves as the long-lived particle with displaced decays at FCC-hh.
    A standard Higgs-portal extension; the paper gives the collider signature (displaced decays to fermions/jets) as a falsifiable handle, but no specific mass/mixing prediction is made—it maps a parameter region.

pith-pipeline@v1.3.0-alltime-deepseek · 16441 in / 15760 out tokens · 122673 ms · 2026-08-01T09:48:04.919263+00:00 · methodology

0 comments
read the original abstract

We study a GeV-scale Higgs-portal scalar $\phi$ that can dominate the early Universe and later decay into Standard Model states, ending an early matter-dominated era. Ordinary cosmic reheating is the minimal example of this scenario. The small Higgs mixing makes $\phi$ a long-lived particle (LLP), linking the reheating temperature $T_\text{rh}$ to displaced-decay signatures at colliders. Including finite-temperature suppression of the decay width, we map FCC-hh LLP sensitivity onto the $[m_{\phi}, T_\text{rh}]$ plane. We find that FCC-hh displaced searches could probe GeV-scale transition temperatures, up to the electroweak scale within the broken-phase Higgs-portal description.

discussion (0)

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Reference graph

Works this paper leans on

42 extracted references · 35 linked inside Pith

  1. [1]

    Allahverdi et al.,The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe,Open J

    R. Allahverdi et al.,The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe,Open J. Astrophys.4(2021) astro.2006.16182 [2006.16182]

    Pith/arXiv arXiv 2021

  2. [2]

    Batell et al.,Conversations and deliberations: Non-standard cosmological epochs and expansion histories,Int

    B. Batell et al.,Conversations and deliberations: Non-standard cosmological epochs and expansion histories,Int. J. Mod. Phys. A40(2025) 2530004 [2411.04780]

    Pith/arXiv arXiv 2025

  3. [3]

    Dolgov and D.P

    A.D. Dolgov and D.P. Kirilova,On Particle Creation by a Time Dependent Scalar Field,Sov. J. Nucl. Phys.51(1990) 172

    1990

  4. [4]

    Traschen and R.H

    J.H. Traschen and R.H. Brandenberger,Particle Production During Out-of-equilibrium Phase Transitions,Phys. Rev. D42(1990) 2491

    1990

  5. [5]

    Kofman, A

    L. Kofman, A. Linde and A.A. Starobinsky,Reheating after inflation,Phys. Rev. Lett.73 (1994) 3195 [hep-th/9405187]

    Pith/arXiv arXiv 1994

  6. [6]

    Kofman, A.D

    L. Kofman, A.D. Linde and A.A. Starobinsky,Towards the theory of reheating after inflation, Phys. Rev. D56(1997) 3258 [hep-ph/9704452]

    Pith/arXiv arXiv 1997

  7. [7]

    Barman, N

    B. Barman, N. Bernal and J. Rubio,Two or three things particle physicists (mis)understand about (pre)heating,Nucl. Phys. B1018(2025) 116996 [2503.19980]

    Pith/arXiv arXiv 2025

  8. [8]

    Alimena et al.,Searching for long-lived particles beyond the Standard Model at the Large Hadron Collider,J

    J. Alimena et al.,Searching for long-lived particles beyond the Standard Model at the Large Hadron Collider,J. Phys. G47(2020) 090501 [1903.04497]

    arXiv 2020

  9. [9]

    Adshead, P

    P. Adshead, P. Ralegankar and J. Shelton,Reheating in two-sector cosmology,JHEP08(2019) 151 [1906.02755]. [10]FCCcollaboration,FCC-hh: The Hadron Collider: Future Circular Collider Conceptual Design Report Volume 3,Eur. Phys. J. ST228(2019) 755

    Pith/arXiv arXiv 2019

  10. [11]

    Benedikt et al.,Future Circular Hadron Collider FCC-hh: Overview and Status, 2203.07804

    M. Benedikt et al.,Future Circular Hadron Collider FCC-hh: Overview and Status, 2203.07804. [12]FCCcollaboration,Future Circular Collider Feasibility Study Report: Volume 2, Accelerators, Technical Infrastructure and Safety,Eur. Phys. J. ST234(2025) 5713 [2505.00274]

    Pith/arXiv arXiv 2025

  11. [13]

    Bhattacherjee, H.K

    B. Bhattacherjee, H.K. Dreiner, N. Ghosh, S. Matsumoto, R. Sengupta and P. Solanki,Light long-lived particles at the FCC-hh with the proposal for a dedicated forward detector FOREHUNT and a transverse detector DELIGHT,Phys. Rev. D110(2024) 015036 [2306.11803]

    Pith/arXiv arXiv 2024

  12. [14]

    Y. Cado, M. Gross, Y. Mambrini and K. Olive,Phenomenological constraints on Higgs reheating,Phys. Rev. D112(2025) 115027 [2508.13155]

    Pith/arXiv arXiv 2025

  13. [15]

    H. Bahl, T. Biekötter, S. Heinemeyer, C. Li, S. Paasch, G. Weiglein et al.,HiggsTools: BSM scalar phenomenology with new versions of HiggsBounds and HiggsSignals,Comput. Phys. Commun.291(2023) 108803 [2210.09332]

    Pith/arXiv arXiv 2023

  14. [16]

    Alwall, M

    J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer,MadGraph 5 : Going Beyond, JHEP06(2011) 128 [1106.0522]

    Pith/arXiv arXiv 2011

  15. [17]

    Alwall, R

    J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer 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 [1405.0301]

    Pith/arXiv arXiv 2014

  16. [18]

    Djouadi,The Anatomy of electro-weak symmetry breaking

    A. Djouadi,The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model,Phys. Rept.457(2008) 1 [hep-ph/0503172]

    Pith/arXiv arXiv 2008

  17. [19]

    Ellis, D.V

    J.R. Ellis, D.V. Nanopoulos and M. Quiros,On the Axion, Dilaton, Polonyi, Gravitino and Shadow Matter Problems in Supergravity and Superstring Models,Phys. Lett. B174(1986) 176

    1986

  18. [20]

    Banks, D.B

    T. Banks, D.B. Kaplan and A.E. Nelson,Cosmological implications of dynamical supersymmetry breaking,Phys. Rev. D49(1994) 779 [hep-ph/9308292]. – 20 –

    Pith/arXiv arXiv 1994

  19. [21]

    G. Kane, K. Sinha and S. Watson,Cosmological Moduli and the Post-Inflationary Universe: A Critical Review,Int. J. Mod. Phys. D24(2015) 1530022 [1502.07746]

    Pith/arXiv arXiv 2015

  20. [22]

    Cicoli, J.P

    M. Cicoli, J.P. Conlon, A. Maharana, S. Parameswaran, F. Quevedo and I. Zavala,String cosmology: From the early universe to today,Phys. Rept.1059(2024) 1 [2303.04819]

    Pith/arXiv arXiv 2024

  21. [23]

    Drees, F

    M. Drees, F. Hajkarim and E.R. Schmitz,The Effects of QCD Equation of State on the Relic Density of WIMP Dark Matter,JCAP06(2015) 025 [1503.03513]

    Pith/arXiv arXiv 2015

  22. [24]

    Sarkar,Big bang nucleosynthesis and physics beyond the standard model,Rept

    S. Sarkar,Big bang nucleosynthesis and physics beyond the standard model,Rept. Prog. Phys. 59(1996) 1493 [hep-ph/9602260]

    Pith/arXiv arXiv 1996

  23. [25]

    Kawasaki, K

    M. Kawasaki, K. Kohri and N. Sugiyama,MeV scale reheating temperature and thermalization of neutrino background,Phys. Rev. D62(2000) 023506 [astro-ph/0002127]

    Pith/arXiv arXiv 2000

  24. [26]

    Hannestad,What is the lowest possible reheating temperature?,Phys

    S. Hannestad,What is the lowest possible reheating temperature?,Phys. Rev. D70(2004) 043506 [astro-ph/0403291]

    Pith/arXiv arXiv 2004

  25. [27]

    De Bernardis, L

    F. De Bernardis, L. Pagano and A. Melchiorri,New constraints on the reheating temperature of the universe after WMAP-5,Astropart. Phys.30(2008) 192

    2008

  26. [28]

    de Salas, M

    P.F. de Salas, M. Lattanzi, G. Mangano, G. Miele, S. Pastor and O. Pisanti,Bounds on very low reheating scenarios after Planck,Phys. Rev. D92(2015) 123534 [1511.00672]

    Pith/arXiv arXiv 2015

  27. [29]

    Christensen and C

    N.D. Christensen and C. Duhr,FeynRules - Feynman rules made easy,Comput. Phys. Commun.180(2009) 1614 [0806.4194]

    Pith/arXiv arXiv 2009

  28. [30]

    Alloul, N.D

    A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks,FeynRules 2.0 - A complete toolbox for tree-level phenomenology,Comput. Phys. Commun.185(2014) 2250 [1310.1921]

    Pith/arXiv arXiv 2014

  29. [31]

    Anastasiou, C

    C. Anastasiou, C. Duhr, F. Dulat, E. Furlan, T. Gehrmann, F. Herzog et al.,High precision determination of the gluon fusion Higgs boson cross-section at the LHC,JHEP05(2016) 058 [1602.00695]

    Pith/arXiv arXiv 2016

  30. [32]

    Harlander,Virtual corrections tog g→Hto two loops in the heavy top limit,Phys

    R.V. Harlander,Virtual corrections tog g→Hto two loops in the heavy top limit,Phys. Lett. B492(2000) 74 [hep-ph/0007289]

    Pith/arXiv arXiv 2000

  31. [33]

    Grigo, K

    J. Grigo, K. Melnikov and M. Steinhauser,Virtual corrections to Higgs boson pair production in the large top quark mass limit,Nucl. Phys. B888(2014) 17 [1408.2422]. [34]LHC Higgs Cross Section Working Groupcollaboration,Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables,1101.0593

    Pith/arXiv arXiv 2014

  32. [35]

    Domingo, J

    F. Domingo, J. Günther, J.S. Kim and Z.S. Wang,A C++ program for estimating detector sensitivities to long-lived particles: displaced decay counter,Eur. Phys. J. C84(2024) 642 [2308.07371]. [36]ATLAScollaboration,Search for long-lived, massive particles in events with displaced vertices and multiple jets in pp collisions at√s= 13 TeV with the ATLAS detect...

    Pith/arXiv arXiv 2024

  33. [37]

    Wang,Constraining long-lived particles from Higgs boson decays at the LHC with displaced vertices and jets,Phys

    Z.S. Wang,Constraining long-lived particles from Higgs boson decays at the LHC with displaced vertices and jets,Phys. Rev. D110(2024) 055033 [2406.16281]

    Pith/arXiv arXiv 2024

  34. [38]

    Bernal, G

    N. Bernal, G. Cottin, B. Díaz Sáez and M. López,Testing frozen-in pNGB dark matter with a long-lived dark Higgs,JHEP01(2026) 081 [2507.07089]

    arXiv 2026

  35. [39]

    Areyuna C, G

    P. Areyuna C, G. Cottin, B. Díaz Sáez, Z.S. Wang and Y. Zhang,Can LLP detectors probe the reheating temperature? A case study of vector dark matter,2604.25090

    Pith/arXiv arXiv

  36. [40]

    Bhattacherjee, C

    B. Bhattacherjee, C. Bose, H.K. Dreiner, N. Ghosh, S. Matsumoto, S. Mukherjee et al., Proposal for a shared transverse LLP detector for FCC-ee and FCC-hh and a forward LLP detector for FCC-hh,Nucl. Phys. B1027(2026) 117485 [2503.21875]

    Pith/arXiv arXiv 2026

  37. [41]

    Displaced-decay-counter

    “Displaced-decay-counter.”https://github.com/wzeren/Displaced-Decay-Counter. – 21 –

  38. [42]

    Ellis, D.S

    J. Ellis, D.S. Hwang, V. Sanz and T. You,A Fast Track towards the ‘Higgs’ Spin and Parity, JHEP11(2012) 134 [1208.6002]

    Pith/arXiv arXiv 2012

  39. [43]

    Bernal, Q.-f

    N. Bernal, Q.-f. Wu, X.-J. Xu and Y. Xu,Probing Bose-enhanced inflaton decay with gravitational waves,JHEP06(2026) 197 [2601.20939]

    Pith/arXiv arXiv 2026

  40. [44]

    Sjöstrand, S

    T. Sjöstrand, 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]

    Pith/arXiv arXiv 2015

  41. [45]

    Cheung, F.-T

    K. Cheung, F.-T. Chung, G. Cottin and Z.S. Wang,Quark flavor violation and axion-like particles from top-quark decays at the LHC,JHEP07(2024) 209 [2404.06126]

    Pith/arXiv arXiv 2024

  42. [46]

    Cacciari, G.P

    M. Cacciari, G.P. Salam and G. Soyez,FastJet User Manual,Eur. Phys. J. C72(2012) 1896 [1111.6097]. – 22 –

    Pith/arXiv arXiv 2012