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Search for the Higgs boson decay to a $Z$ boson and a photon in $pp$ collisions at $\sqrt{s}=13$ TeV and $13.6$ TeV with the ATLAS detector

T0 review · 1 major / 3 minor · reviewed 2026-08-06 · deepseek-v4-flash

Pith's one-line read This paper reports a search for the rare Higgs boson decay $H\to Z\gamma$ in the dilepton-plus-photon final state, and claims a combined measurement consistent with the Standard Model with the most precise expected sensitivity to date.

desk verdict ATLAS's Run-3 H→Zγ search is a careful, internally consistent update that delivers the most sensitive expected limit to date; the 2.5σ observed excess is SM-consistent and the only real soft spot is the narrow coverage of the background-template systematics. read the letter →

arxiv 2507.12598 v2 pith:HPQVKH26 submitted 2025-07-16 hep-ex

classification hep-ex
keywords HiggsbosonZgammadecayraresignalstrengthmaximum-likelihoodfitdouble-sidedCrystalBall13.6TeVproton-protoncollisionsStandardModelconsistency
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 searches for the rare, loop-induced Higgs boson decay $H\to Z\gamma$ in events where the $Z$ decays to an electron or muon pair and a photon. Using 165 fb$^{-1}$ of 13.6 TeV proton-proton collisions, and combining this with the earlier 140 fb$^{-1}$ 13 TeV search, it measures a signal strength of $\mu=1.3^{+0.6}_{-0.5}$ with an observed significance of $2.5\sigma$, close to the $1.9\sigma$ expected. This is consistent with the Standard Model prediction and provides the most stringent expected sensitivity to date for this decay. The result matters because new charged particles in the loop could shift the $H\to Z\gamma$ rate relative to $H\to\gamma\gamma$, so a precise measurement is a sensitive test of physics beyond the Standard Model.

What carries the argument

The central object is the reconstructed invariant mass $m_{Z\gamma}$ of the lepton-pair-plus-photon system. The signal is modelled in each of 13 exclusive event categories by a double-sided Crystal Ball function, while the background is described by analytic functions selected through a spurious-signal study applied to templates built from simulated $Z\gamma$ events and data-driven $Z$+jets events. Twelve of the categories are defined with XGBoost-based classifiers, and one dedicated multi-lepton category targets Higgs production in association with a vector boson or a top-quark pair. A simultaneous unbinned extended maximum-likelihood fit to the $m_{Z\gamma}$ distributions extracts the signal strength.

What would settle it

Repeat the spurious-signal study with several times larger simulated background samples and replace the smoothed background templates with the unsmoothed templates; if the best-fit signal strength in the 120-130 GeV window shifts by more than the assigned spurious-signal uncertainty, the background-modelling assumption behind the measured excess would be falsified.

Watch

Extended reading notes

Core claim

This paper claims that the decay $H\to Z\gamma$, searched in the $\ell\ell\gamma$ final state with $\ell=e,\mu$, is present in the combined 13 TeV and 13.6 TeV datasets at a rate consistent with the Standard Model. The combined best-fit signal strength is $\mu=1.3^{+0.6}_{-0.5}$, with an observed (expected) significance of $2.5\sigma$ ($1.9\sigma$); the standalone Run-3 measurement is $\mu=0.9^{+0.7}_{-0.6}$, corresponding to observed (expected) significance of $1.4\sigma$ ($1.5\sigma$). The combination is stated to provide the most stringent expected sensitivity to date for this decay. Under the Standard Model production cross-sections, it corresponds to an observed branching fraction of $(2.0^{+0.9}_{-0.8})\times10^{-3}$, compared with the predicted $(1.54^{+0.10}_{-0.11})\times10^{-3}$.

Load-bearing premise

The search assumes that the fitted background curves in the 120-130 GeV window, together with the size of the spurious-signal uncertainty estimated from limited simulation samples, fully cover any residual mismodelling of the $m_{Z\gamma}$ spectrum.

Editorial extensions

If this is right

  • The measured signal strength $\mu=1.3^{+0.6}_{-0.5}$ is compatible with the Standard Model value $\mu=1.0$, so the data do not establish a new-physics contribution to this decay.
  • The observed significance of $2.5\sigma$ is below the $5\sigma$ evidence threshold, so the decay is not yet definitively observed in this dataset alone.
  • Assuming Standard Model production cross-sections, the measurement translates to a branching fraction $(2.0^{+0.9}_{-0.8})\times10^{-3}$, consistent with the predicted $(1.54^{+0.10}_{-0.11})\times10^{-3}$.
  • The combined expected sensitivity surpasses the previous two-experiment combination of Run-2 data, making this the most precise expected constraint on the $H\to Z\gamma$ rate to date.

Reading between the lines

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

  • Editorial extension: if the central value remains above the Standard Model as more 13.6 TeV data accumulate, the ratio of $H\to Z\gamma$ to $H\to\gamma\gamma$ branching fractions would become the most discriminating single observable for charged new particles in the loop.
  • Editorial extension: combining this measurement with the other experiment's Run-3 search could push the combined significance past the evidence threshold, provided the background-modelling systematics scale down with the larger sample.
  • Editorial extension: the new multi-lepton category isolates Higgs production with a vector boson or a top-quark pair, so with additional data it could be subdivided to measure production-mode-specific $H\to Z\gamma$ couplings, a sharper new-physics test than the inclusive rate.
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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 / 3 minor

Summary. This paper reports a search for the Higgs boson decay H→Zγ in the ℓℓγ final state using 165 fb−1 of √s=13.6 TeV pp collision data recorded by ATLAS in 2022–2024, and combines the result with the earlier 140 fb−1 Run-2 search. The Run-3-only fit gives μ=0.9+0.7−0.6 (expected 1.0±0.7), corresponding to an observed (expected) significance of 1.4σ (1.5σ). The combined Run-2+Run-3 fit gives μ=1.3+0.6−0.5 (expected 1.0+0.6−0.5), with observed (expected) significance 2.5σ (1.9σ); the authors state this is the most stringent expected sensitivity to date for this decay. The analysis uses 13 exclusive categories, XGBoost-based BDT classifiers, analytic background models selected via spurious-signal studies, and a simultaneous unbinned maximum-likelihood fit.

Significance. If correct, the combined measurement is a meaningful step for this rare Higgs decay: it improves the expected sensitivity over the ATLAS+CMS Run-2 combination and yields a measurement consistent with the Standard Model within current precision. The paper is careful in several respects: it reports a detailed systematic breakdown (Table 4), performs spurious-signal studies over multiple function families and fit ranges, applies Wald tests to avoid overfitting, checks category consistency (p=0.37), and documents the Run-2/Run-3 correlation scheme. The statistical uncertainty dominates, and the reported spurious-signal impact is small (0.11 on μ in Run-3). The main caveat is the limited coverage of the background-template systematic, discussed below.

major comments (1)
  1. [Section 6 and Section 8.2] The background-model systematic assigned in the spurious-signal study is the maximum |SS| from only three template variants (nominal and the Zγ-fraction ±1σ variations), and the acceptance criterion requires only one of |SS−σ|, SS, or |SS+σ| to be below 0.2ΔS, so a template with a 1.5σ upward SS fluctuation can pass. This procedure does not directly cover errors in the AtlFast3 Zγ mass resolution or in the extrapolation of the data-driven Z+jets shape into the 120–130 GeV signal window. Since the combined observed (expected) significance of 2.5σ (1.9σ) and the claim of the most stringent expected sensitivity to date rest on the background model, I request a stress test in which the background template is rebuilt with alternative Zγ simulation (e.g., full Geant4 instead of AtlFast3), alternative Z+jets control-region choices or smoothing orders, and with the signal-region m(Zγ) resolution varied; the resulting maximum |SS| and the shift in μ should be reported. The closure test in Section 6 (fitting a template built by adding the SM signal to the background template) uses the same template and therefore does not address this concern.
minor comments (3)
  1. [Section 6] The notation is inconsistent: |SS| is defined as the absolute value of the maximum fitted signal yield, but the acceptance criterion then refers to 'SS' in 'one of |SS−σ|, SS, or |SS+σ|'; please clarify whether SS is signed and define the quantity entering each term.
  2. [Figure 2] The axis labels in Figure 2 appear malformed ('ATLAS-1 = 13.6 TeV, 165 fbs'); this is presumably a rendering artifact, but the labels should be corrected to show the proper ATLAS label and fb−1 units.
  3. [Section 6] After the Gaussian Process smoothing the text states that 'The |SS| is then re-evaluated', but does not specify whether the re-evaluated value replaces the assigned systematic or is only used to confirm that the choice of function and range is unchanged; please state this explicitly.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the measurement is a direct fit to collision data, with all predicted quantities derived from external SM inputs and independent simulation.

full rationale

This is an experimental search, not a derivational chain that could collapse into its inputs. The observed signal strength is a free parameter fitted to the reconstructed m(Z-gamma) distributions, and the quoted expected values are obtained from an Asimov dataset generated under the Standard Model signal-plus-background hypothesis, which is a standard sensitivity projection rather than a fitted quantity relabeled as a prediction. The background model is built from independent fast-simulation Z-gamma MC, data-driven Z+jets control regions, and sideband normalizations, with a spurious-signal systematic evaluated from template variations; its coverage is a legitimate statistical concern but not a circularity. The signal template parameters are fixed from independent simulation, and the branching fraction input comes from the external LHC Higgs cross-section handbook. The combination with the Run-2 result uses a previous, independently published measurement of a different dataset, which is normal statistical combination rather than a self-citation chain. No equation or fit in the paper reduces to its own inputs, and no fitted parameter is presented as an independent prediction.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The central claim rests on standard statistical inference and on external Standard Model inputs. The only fitted parameters are the signal strength, background normalizations, and background shape parameters; these are experimental fit parameters, not ad hoc constants introduced to force a derivation. No new particles or entities are introduced. The main domain assumptions concern the fidelity of the Monte Carlo signal model and the unbiasedness of the background model selection, both addressed with dedicated systematic studies.

free parameters (5)
  • Signal strength mu (Run-3) = 0.9 (+0.7/-0.6)
    Fitted in the simultaneous unbinned maximum-likelihood fit to the m(Z gamma) distributions; ratio of observed yield to Standard Model prediction.
  • Signal strength mu (Run-2+Run-3 combined) = 1.3 (+0.6/-0.5)
    Central result of the combined fit; used to derive the branching fraction interpretation.
  • Z gamma purity fraction (inclusive) = 0.49 (+0.05/-0.10)
    Determined from a two-dimensional sideband in control data; sets the ratio of Z gamma to Z+jets backgrounds in the background template.
  • Background normalizations in 13 categories = not quoted individually
    Each category's background template is normalized to data in m(Z gamma) sidebands excluding 120-130 GeV; these are free parameters of the fit.
  • Background shape parameters per category = vary by category
    Parameters of the chosen analytic background functions, such as power laws, Bernstein polynomials, exponential polynomials, and logarithmic polynomials, fit to data sidebands.
assumptions (4)
  • domain assumption Standard Model production cross-sections and the H to Z gamma branching ratio are taken from the LHC Higgs Cross Section Working Group handbook and used to normalize signal samples and define the Standard Model expectation.
    Sections 3 and 8. This is an external input from the literature, not derived in this paper.
  • domain assumption The signal m(Z gamma) shape is described by a double-sided Crystal Ball function, with parameters fixed from simulated signal Monte Carlo; the Monte Carlo simulation accurately models the detector resolution and scale.
    Section 6, where the DSCB parameters are fitted to Monte Carlo and the mean is shifted by 90 MeV to m_H = 125.09 GeV.
  • domain assumption The background analytic function selection procedure, using spurious-signal criteria and a Wald test, yields a background model that is unbiased in the signal region.
    Section 6; the |SS| < 0.2 Delta S criterion is the basis for accepting the background model.
  • standard math Asymptotic formulae for the profile likelihood ratio test statistics are valid for computing significances.
    Section 8 uses the method of Cowan, Cranmer, Gross and Vitells, Ref. [116].

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Cite this review

Pith. "Pith review of Search for the Higgs boson decay to a $Z$ boson and a photon in $pp$ collisions at $\sqrt{s}=13$ TeV and $13.6$ TeV with the ATLAS detector." pith.science (2026). https://pith.science/paper/HPQVKH26

@misc{pith2026250712598,
  author       = {Pith},
  title        = {Pith review of: Search for the Higgs boson decay to a $Z$ boson and a photon in $pp$ collisions at $\sqrts=13$ TeV and $13.6$ TeV with the ATLAS detector},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HPQVKH26}},
  note         = {Machine review of arXiv:2507.12598}
}
abstract

A search for the Higgs boson decay to a $Z$ boson and a photon in the $\ell\ell\gamma$ ($\ell = e, \mu$) final state is performed using $pp$ collisions at $\sqrt{s}=13.6$ TeV recorded with the ATLAS detector at the Large Hadron Collider during 2022-2024, corresponding to an integrated luminosity of 165 fb$^{-1}$. The signal yield, normalised to the Standard Model prediction, is measured to be $\mu=0.9^{+0.7}_{-0.6}$, compared to an expected value of $\mu=1.0\pm0.7$. This corresponds to an observed (expected) signal significance of 1.4 (1.5) standard deviations for the background-only hypothesis. This result is combined with that of a similar search performed with 140 fb$^{-1}$ of $\sqrt{s}=13$ TeV $pp$ collisions to provide the most stringent expected sensitivity to date to this rare decay, namely an observed (expected) signal strength of $\mu = 1.3^{+0.6}_{-0.5}$ ($\mu = 1.0^{+0.6}_{-0.5}$), corresponding to an observed (expected) significance of 2.5 (1.9) standard deviations. The measurement is consistent with the Standard Model expectation.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurement of the Higgs boson decay to a low-mass dilepton system and a photon in $pp$ collisions at $\sqrt{s} =$ 13 and 13.6 TeV with the ATLAS detector

    hep-ex 2026-08 accept novelty 5.0 of 10

    Combined Run-2+Run-3 ATLAS measurement of H to ell ell gamma (m_ll < 30 GeV) gives mu = 1.03 (+0.35/-0.32) with 3.4 sigma observed (3.3 sigma expected) significance, consistent with the Standard Model.

  2. Higgs-Pair Production via Gluon Fusion: Top-Yukawa- and light-quark-induced electroweak Corrections

    hep-ph 2025-12 conditional novelty 5.0 of 10

    The top-Yukawa and light-quark electroweak corrections to Higgs-pair production at the LHC shift the total cross section by about −3.4%, with differential corrections of 5–10% at high invariant mass.

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