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Emerging Photon Jets in the Hadronic Calorimeter: A Novel Signature of Neutral Long-Lived Particles at the LHC

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Pith's one-line read A neutral long-lived particle that decays into photons inside the hadronic calorimeter would leave a trackless, ECAL-free jet, and this paper argues this 'emerging photon jet' reaches 5-sigma discovery at the HL-LHC over a broad region of…

desk verdict Novel HCAL photon-jet signature with a solid model part, but the detector simulation as described cannot produce the purported signal, so the discovery claims are unsupported. read the letter →

arxiv 2504.19693 v1 pith:KQ54ITC5 submitted 2025-04-28 hep-ph

Jinheung Kim , Dongjoo Kim , Soojin Lee , Jeonghyeon Song This is my paper · ORCID
classification hep-ph
keywords long-livedparticlesemergingphotonjethadroniccalorimeterfermiophobicHiggsType-I2HDMHL-LHCtracklessjetsdiphotondecay
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper proposes a new way to look for neutral long-lived particles at the LHC: instead of searching for displaced tracks or displaced vertices, look for a jet of electromagnetic energy that appears entirely inside the hadronic calorimeter (HCAL), with no charged tracks and effectively no energy in the electromagnetic calorimeter (ECAL); the authors call this an emerging photon jet in the HCAL. They argue that such a jet is produced whenever a neutral LLP decays to a photon pair inside the HCAL, and they make the case concrete with the fermiophobic Higgs boson of the Type-I two-Higgs-doublet model, an ultralight scalar that decays exclusively to two photons and can live long enough to reach the calorimeter. In the golden channel, one such scalar decays in the ECAL as a collimated photon and the other in the HCAL as an emerging photon jet, together with a lepton and missing transverse momentum. Their detector-level analysis of this final state reports discovery-level significance at the high-luminosity LHC for a broad region of the model's allowed parameter space, with benchmark significances of about $7.6\sigma$, $12.0\sigma$, and $4.1\sigma$ for charged-Higgs masses of 100, 200, and 300 GeV at $3\ \mathrm{ab}^{-1}$. If correct, the paper's main payoff is a previously unexplored search strategy that applies to any neutral LLP decaying to photons, not only to this particular Higgs model.

What carries the argument

The central object is the emerging photon jet in the HCAL, $J^\gamma_{\rm HCAL}$: a jet-like object built from an electromagnetic shower initiated by a photon pair inside the hadronic calorimeter, with no associated inner-detector tracks and no ECAL deposits. The argument is carried by the combination of (i) the loop-induced diphoton decay $h_f\to\gamma\gamma$, whose width scales as $m_{h_f}^3$ and makes an ultralight $h_f$ long-lived; (ii) the exponential radial-decay probabilities that assign one decaying scalar to the ECAL branch ($\gamma_{\rm col}$, a collimated photon pair reconstructed as a single photon) or the HCAL branch ($J^\gamma_{\rm HCAL}$) depending on the decay radius $d_{\rm rad}=c\tau\,p_T/m_{h_f}$; and (iii) four cut variables that strip away the $W+j+\gamma$ background, above all the ratio $R_{j_1}^{\rm had}=E_{\rm HCAL}/E_{\rm ECAL}>950$, which exploits the fact that ordinary QCD jets deposit significant energy in the ECAL from prompt $\pi^0$ decays while the HCAL-emerging jet does not.

What would settle it

Generate $h_f\to\gamma\gamma$ events with the decay vertex forced to a radius between about 2.25 and 3.9 m and run them through the same fast detector simulation used for the analysis. If the reconstructed leading jet does not show $E_{\rm HCAL}/E_{\rm ECAL}>950$ with at most one charged subparticle—for instance if the photon pair is reconstructed as a photon or deposits energy in the ECAL—then the central signature is not produced as claimed, and the quoted efficiencies, including the $5\sigma$ contours, would not hold.

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Extended reading notes

Core claim

On the paper's own terms, the central discovery is that a neutral LLP decaying to photons inside the hadronic calorimeter leaves an experimentally recognizable object—an emerging photon jet, $J^\gamma_{\rm HCAL}$—that is essentially free of Standard-Model background once a few simple kinematic requirements are imposed. For the ultralight fermiophobic Higgs $h_f$ with $m_{h_f}=0.5$ GeV in the Type-I 2HDM, the analysis starts from $pp\to H^\pm h_f\to W^\pm h_f h_f$, requires one $h_f$ to decay inside the ECAL and be reconstructed as a single collimated photon $\gamma_{\rm col}$, and the other to decay inside the HCAL, with decay probabilities set by the exponential radial-decay law. After basic object cuts and $E_T^{\rm miss}>50$ GeV, four variables separate signal from the irreducible $\ell^\pm\nu j\gamma$ background: the HCAL-to-ECAL energy ratio of the leading jet must exceed 950, the jet must contain at most one charged subparticle, the reconstructed $W$ must lie within $\Delta R<2$ of the leading jet or photon, and the leading jet must carry most of the hadronic activity. The resulting significances at $3\ \mathrm{ab}^{-1}$ with a 10% background uncertainty are $7.6\sigma$, $12.0\sigma$, and $4.1\sigma$ for $M_{H^\pm}=100,200,300$ GeV, and scanning the full theoretically and experimentally allowed parameter space yields $5\sigma$ discovery across a broad region, with the charged Higgs mass bounded below about 335 GeV.

Load-bearing premise

The load-bearing premise is that the fast detector simulation treats a photon pair that materializes inside the hadronic calorimeter as depositing essentially all its energy in the HCAL, with no ECAL deposit and no charged tracks; if the simulation instead routes that energy to the ECAL or reconstructs the pair as a photon, the main selection cut $R_{j_1}^{\rm had}>950$ fails and the signal rates collapse.

Editorial extensions

If this is right

  • Any neutral LLP that decays predominantly to photons and whose decay length places it inside the HCAL becomes, in principle, searchable with the same trackless-jet selection; the discovery claim does not depend on the details of the fermiophobic Higgs sector.
  • Within the fermiophobic Type-I model, the full experimentally allowed parameter space is testable at the HL-LHC, because the charged Higgs mass is capped near 335 GeV and $H^\pm\to W^\pm h_f$ is essentially 100%.
  • The four-variable cut flow reduces the irreducible $\ell^\pm\nu j\gamma$ background by roughly three orders of magnitude, from 193 fb at the basic level to about 0.06 fb, which is what makes the otherwise small signal cross sections visible.
  • For the $M_{H^\pm}=300$ GeV benchmark the predicted $4.1\sigma$ excess falls short of the usual $5\sigma$ discovery threshold but would constitute strong evidence; higher luminosity or a small reduction in the assumed 10% background systematic would push it over.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because the four selection variables are defined entirely at the object level, the same search could be run for any photon-decaying LLP—such as axion-like particles or dark scalars—once the production channel is reweighted; the HCAL/ECAL ratio and trackless-jet requirements would carry over.
  • The geometric window from the ECAL outer radius near 2 m to the HCAL outer radius near 3.9 m implies the signature is most sensitive to proper lifetimes around the centimetre-to-metre scale, so this search naturally complements inner-detector displaced-vertex searches at shorter lifetimes.
  • A data-driven estimate of the trackless-jet background, for example from a control sample of prompt isolated photons or from $W+$jets events with a late photon conversion, would test whether the residual background is as small as the simulation reports.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

1 major / 4 minor

Summary. The paper proposes a new long-lived-particle (LLP) signature: a neutral LLP decaying to a collimated photon pair inside the hadronic calorimeter, producing a trackless jet with no ECAL energy ('emerging photon jet'). As a benchmark, the authors use the fermiophobic Type-I two-Higgs-doublet model with an ultralight h_f and study the 'golden channel' pp -> H± h_f -> W± h_f h_f -> l± nu gamma_col J_gamma_HCAL. They compute the h_f decay width and lifetime, constrain the parameter space using the public codes 2HDMC, 2HDME, and HiggsTools, and use MadGraph/Pythia/Delphes to estimate signal and background rates. They report discovery-level sensitivity (>5 sigma) at the HL-LHC over a large fraction of the allowed parameter space.

Significance. The proposed observable is genuinely novel: existing LLP searches for photon decays focus on the ECAL or on displaced vertices, not on electromagnetic showers initiated inside the HCAL. The analytic treatment of Gamma(h_f -> gamma gamma) and the use of external constraint codes are careful, and the paper provides explicit benchmark cross sections and a cut-flow table. If the detector-level modeling were validated, the strategy could be broadly applicable to other neutral LLPs decaying to photons. However, the quantitative claims in Table I and Figure 4 rest entirely on an unvalidated—and, with the stated tools, likely invalid—simulation of the HCAL-origin photon jet. This is the central load-bearing issue of the manuscript.

major comments (1)
  1. [Section III, background paragraph and Table I] The background estimate is incomplete. Only the irreducible process pp -> l nu j gamma is simulated. At the HL-LHC, reducible backgrounds such as W+jets with a jet misidentified as a photon, gamma+jets with a jet misidentified as a lepton, and t-tbar production can contribute to the same final state after object reconstruction. The trackless-jet and R_j1_had cuts may suppress some of these sources, but no fake-rate estimates or reducible-background estimates are provided. The quoted significance assumes a 10% systematic uncertainty on the irreducible background alone; this does not cover additional background contributions. The final NB after all cuts in Table I is therefore not established, and the 5-sigma claim depends on this number.
minor comments (4)
  1. [Eq. (16)] The notation in the significance formula is inconsistent: the second logarithm uses delta_b in the denominator after delta_B was defined in the text. The formula should be harmonized and the variables defined precisely.
  2. [Eq. (15) and detector geometry] The decay probabilities in Eq. (15) use fixed radial distances L_ECAL, L_i_HCAL, and L_f_HCAL. For pseudorapidities up to |eta| < 2.5, the path length through the ECAL and HCAL depends on eta; the approximation of a purely cylindrical geometry should be stated, and its impact on the acceptance should be estimated.
  3. [Table I and Figure 4] The four selection cuts are optimized on the same simulated samples used to quote the final significances. A discussion of possible overfitting, or a validation on an independent sample, would increase confidence in the quoted significance values.
  4. [Throughout] There are several typographical errors, including 'a single photon. 4 due to' in Section II and 'detecter' in footnote 5, which should be corrected in a revised version.

Circularity Check

0 steps flagged · score 2.0 of 10

No circular derivation: significance chain rests on external codes and public data; only minor in-sample cut choices and non-load-bearing self-citations.

full rationale

The paper's derivation is not circular: model constraints come from public codes (2HDMC, 2HDME, HiggsTools) and external data; production cross sections are computed with MadGraph; the HCAL decay probability is the analytic exponential expression in Eq. (15) with quoted ATLAS radii; and the significance is computed from Eq. (16). No fitted parameter is renamed as a prediction. The self-citations [134], [147], and [150] are contextual (cutoff-scale criterion, CNN diphoton-jet tagger, fermiophobic-Higgs phenomenology), and the quantitative constraints are recomputed with public tools rather than imported as black-box results, so they are not load-bearing. The R_j1_had>950 cut is an operational selection implementing the defining property of the proposed signature, not a derived prediction, so applying it is a selection rather than a circular step. The main weakness is a detector-modeling gap: the paper does not describe how Delphes/Pythia place the hf→γγ decay vertex inside the HCAL or how the HLLHC card responds to such displaced photons, so the HCAL-only jet response is assumed rather than demonstrated. That is a correctness risk, not a reduction of a prediction to an input by construction. The in-sample choice of the four cut thresholds on the same simulated samples used for the final significances is a mild bias, but not a circular equivalence.

Assumptions & free parameters 6 free parameters · 4 assumptions · 0 invented entities

The model parameters are scanned or fixed externally and are not derived from the signal. The load-bearing assumptions are the validity of the 2HDM constraints, the exclusive hf->gamma gamma decay, and crucially the fast-simulation modeling of HCAL-origin photon showers, which is unstated and unvalidated.

free parameters (6)
  • m_hf = 0.5 GeV
    Benchmark mass used for all scans and cut-flow; the ultralight regime (<1 GeV) is claimed but only this value is simulated.
  • tβ = 10 in benchmarks; scanned over [3,50]
    Fixed for the three benchmark cross sections and cut-flow; the significance map scans tβ, and the cross section dependence on tβ is mild.
  • M_A/H± = 100, 200, 300 GeV benchmarks; scanned over [80,600] GeV
    Charged Higgs mass benchmarks set the production cross section and kinematics; the allowed range is bounded by constraints.
  • m2_12 = restricted to (0, (0.215 GeV)^2)
    Soft Z2-breaking parameter; allowed range is driven by vacuum stability and is scanned over [0,1] GeV^2.
  • selection cuts = R_j1_had>950, N_charged<=1, min_deltaR<2, pjT/HT>0.3
    Hand-chosen thresholds optimized to maximize significance on the simulated samples; these define the proposed search.
  • background systematic uncertainty = 10%
    Assumed in the profile-likelihood significance formula; the quoted significance depends directly on this assumed uncertainty.
assumptions (4)
  • domain assumption The Type-I 2HDM with alpha=π/2 and M_H=125 GeV is a viable model with the stated parameter constraints.
    Standard framework; constraints are evaluated with 2HDMC, 2HDME, HiggsTools, and FCNC data cited in Section II.
  • domain assumption hf decays exclusively to gamma gamma for m_hf<1 GeV.
    Fermiophobia plus kinematics leaves only the loop-induced gamma-gamma mode; width and lifetime are computed from Eq. 10.
  • ad hoc to paper Delphes with the HLLHC card simulates a trackless, ECAL-free HCAL photon jet faithfully.
    Not demonstrated; the paper does not describe how displaced decays inside HCAL are treated in the fast simulation.
  • domain assumption The only relevant background is pp->l±nu+j+gamma; all other backgrounds are negligible.
    Only this irreducible 2 to 4 process is simulated; no fake-rate, QCD multijet, or detector-noise backgrounds are estimated.

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Pith. "Pith review of Emerging Photon Jets in the Hadronic Calorimeter: A Novel Signature of Neutral Long-Lived Particles at the LHC." pith.science (2026). https://pith.science/paper/KQ54ITC5

@misc{pith2026250419693,
  author       = {Pith},
  title        = {Pith review of: Emerging Photon Jets in the Hadronic Calorimeter: A Novel Signature of Neutral Long-Lived Particles at the LHC},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/KQ54ITC5}},
  note         = {Machine review of arXiv:2504.19693}
}
abstract

We propose a novel collider signature for neutral long-lived particles (LLPs): the emerging photon jet in the hadronic calorimeter (HCAL). This signature arises when a neutral LLP decays into photons within the HCAL, producing an electromagnetic shower without associated charged tracks or energy deposits in the electromagnetic calorimeter (ECAL). To demonstrate the viability of this approach, we consider the fermiophobic Higgs boson $h_{\rm f}$ in the Type-I two-Higgs-doublet model as a representative scenario. In the ultralight regime ($m_{h_{\rm f}} < 1$ GeV), $h_{\rm f}$ decays exclusively into a photon pair via loop-induced processes, resulting in a suppressed width and consequently a long lifetime. Focusing on the golden channel $pp \to H^\pm h_{\rm f} \to W^\pm h_{\rm f} h_{\rm f}$, we analyze the exotic final state in which one $h_{\rm f}$ decays in the ECAL and appears as a highly collimated photon jet (reconstructed as a single photon), while the other decays within the HCAL, producing an emerging photon jet. Through a detailed signal-to-background analysis incorporating realistic detector effects via fast simulation, we demonstrate that this signature achieves discovery-level sensitivity at the HL-LHC across a broad region of parameter space consistent with theoretical and experimental constraints. While our study focuses on the fermiophobic Higgs, the emerging photon jet in the HCAL constitutes a broadly applicable and previously unexplored strategy for detecting neutral LLPs decaying into photons, opening a new avenue in LLP searches at colliders.

Figures

Figures reproduced from arXiv: 2504.19693 by the authors.

Figure 1
Figure 1. Allowed parameter points in (MA/H± , tβ) space with the color code for the quartic coupling λ3. We set mhf = 0.5 GeV and α = π/2. Second, an upper bound is observed on the allowed MA/H± , restricting it to values below approximately 335 GeV. This suggests that the fermiophobic Type-I scenario disfavors very heavy BSM Higgs bosons, placing A and H± within the LHC’s kinematic reach. The primary driver of this upper bo… view at source ↗
Figure 2
Figure 2. Decay length cτ in the rest frame of hf , as a function of tβ. For a given mhf = 0.5 GeV, we consider six cases of (MH± , M), where MH± = 100, 200, 300 GeV and M = 0.1, 0.5 GeV. Since the partial width Γ(hf → γγ) scales as m3 hf , an ultralight hf leads to a highly suppressed decay rate. As a result, the decay length becomes sizable, rendering hf a potential LLP. In [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Representative Feynman diagram for the signal process [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: Signal significances (indicated by color shading) in the allowed ( [PITH_FULL_IMAGE:figures/full_fig_p014_4.png]

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