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Combined ATLAS Run-2 and Run-3 data push mass limits on heavy spin-1 dilepton resonances to 4.8–5.5 TeV with no significant excess seen.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

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2026-07-31 10:58 UTC pith:XU4MT7KB

load-bearing objection Solid incremental ATLAS result: doubles the dilepton sample and sets the strongest Z′ mass limits to date; methods are standard and the central claim holds.

arxiv 2607.28334 v1 pith:XU4MT7KB submitted 2026-07-30 hep-ex

Search for high-mass dilepton resonances in pp collisions at sqrt{s}=13.6 TeV combined with 13 TeV results using the ATLAS detector

ATLAS Collaboration This is my paper
classification hep-ex
keywords dilepton resonancesZ' bosonATLASLHC Run 3high-mass searchfiducial cross-section limitsspin-1 resonances
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.

This paper searches for new heavy spin-1 particles that would decay into electron or muon pairs at the LHC. Using 165 fb^{-1} of 13.6 TeV collisions plus a statistical combination with the earlier 140 fb^{-1} at 13 TeV, the collaboration fits the smoothly falling dilepton mass spectrum with a flexible analytic background function and looks for resonant bumps of various widths. No globally significant excess appears. The resulting 95% CL upper limits on fiducial cross-section times branching ratio translate into the strongest mass exclusions to date for three standard benchmark Z' models: 5.5 TeV for the Sequential Standard Model, 5.1 TeV for Z'_χ and 4.8 TeV for Z'_ψ. A sympathetic reader cares because these channels historically discovered the J/ψ, Υ and Z, and any new resonance would be direct evidence of physics beyond the Standard Model at the multi-TeV scale.

Core claim

No significant deviation from the Standard-Model background is observed in the high-mass ee and μμ spectra. Consequently the combined 13 + 13.6 TeV dataset excludes, at 95% confidence level, a Sequential-Standard-Model Z' below 5.5 TeV, a Z'_χ below 5.1 TeV and a Z'_ψ below 4.8 TeV—the most stringent limits yet obtained on these benchmark models.

What carries the argument

A single analytic functional form (a Breit–Wigner Z-peak factor times a polynomial in ln(m/√s)) fitted directly to the observed dilepton mass spectrum, convolved with detector resolution to produce generic spin-1 signal templates of arbitrary pole mass and width; the Run-2 and Run-3 likelihoods are then multiplied to obtain the combined limits.

Load-bearing premise

The analysis assumes that any new resonance does not interfere with the ordinary Drell–Yan continuum and that a single smooth analytic function fully describes the background all the way to the highest masses.

What would settle it

A statistically significant resonant excess (local significance ≳5σ after look-elsewhere correction) appearing in the combined ee+μμ mass spectrum above roughly 2 TeV, or a clear excess of events above the published 95% CL cross-section curves for any of the three benchmark models.

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

If this is right

  • Any Z' boson belonging to the three benchmark families must be heavier than 4.8–5.5 TeV.
  • Model builders of grand-unified or extra-dimensional theories now face tighter lower bounds on the scale of new gauge bosons.
  • Future LHC runs or a higher-energy collider will need still larger integrated luminosity or higher √s to push these mass limits further.
  • The same functional-fit-plus-combination technique can be re-used immediately on additional Run-3 data or on other clean final states.

Where Pith is reading between the lines

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

  • Because the muon channel already contains a handful of multi-TeV events while the electron channel does not, the next increment of luminosity is more likely to produce a first hint (or a stronger exclusion) in μμ than in ee.
  • If interference with Drell–Yan were later shown to be non-negligible for widths ≳3%, the quoted mass limits would shift by an amount comparable to the present difference between expected and observed limits.
  • The same dataset and background model can be re-interpreted for spin-2 or spin-0 resonances with only a change of signal template, offering a low-cost extension.

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

0 major / 6 minor

Summary. This ATLAS paper searches for spin-1 dilepton (ee, μμ) resonances at high mass using 165 fb−1 of Run 3 pp data at √s=13.6 TeV, then statistically combines with the published Run 2 result (140 fb−1 at 13 TeV). The dilepton mass spectrum is modelled with a smoothly falling analytic background (Eq. 1) whose functional form is selected via spurious-signal, signal-injection and F-tests; generic spin-1 signal shapes (Breit–Wigner convolved with detector resolution) are used to extract local/global significances and 95% CL fiducial σ×B limits for several relative-width hypotheses. No globally significant excess is observed. Combined mass limits are reported for benchmark Z′ models: Z′_SSM 5.5 TeV, Z′_χ 5.1 TeV, Z′_ψ 4.8 TeV (observed), stated to be the most stringent to date on these models.

Significance. The result is a clear, incremental advance over the ATLAS Run 2 dilepton resonance search: the higher √s raises the high-mass Z′ cross-section (∼20% at 6 TeV for SSM) and the combined luminosity more than doubles the previous sample. The analysis follows the established ATLAS high-mass dilepton pipeline (data-driven background fit, profile-likelihood CLs with asymptotic formulae, explicit spurious-signal nuisance, correlated/uncorrelated systematics between runs) and includes useful internal stress tests (signal injection, asymptotic vs pseudo-data comparison showing <2% shift in mass limits). The quoted combined mass limits improve on prior ATLAS/CMS Run 2 bounds and are of immediate use for BSM model building. Strengths include transparent documentation of the fit-function choice, the fiducial definition that reduces off-shell model dependence, and the explicit statement that the full combination is quoted only for benchmarks because of the √s-dependent signal-strength mapping.

minor comments (6)
  1. [Section 3] Section 3 and the abstract state that interference between the resonant signal and the DY continuum is neglected. A short quantitative estimate (or reference to prior ATLAS studies) of the possible bias on the high-mass limits for the 3% SSM width would help readers judge the size of this standard approximation.
  2. [Figure 1] Figure 1(b) caption/legend text appears duplicated in the manuscript source (“Data / Background fit / Z′_χ …” repeated). Clean the figure legend for production.
  3. [Section 8 / Figure 3] Section 8 notes that asymptotic fiducial cross-section limits can be up to ∼40% stronger than pseudo-data limits at the highest masses, while mass limits shift by <2%. Consider adding a brief sentence in the caption of Figure 3 or in the text clarifying that the published mass limits (Table 3) are robust against this difference.
  4. [Table 2] Table 2: the spurious-signal impact reaches 37% (of the predicted 3%-width SSM yield) at 6 TeV in the μμ channel. A one-line remark on why this remains sub-dominant to the statistical uncertainty at the mass-limit point would aid non-experts.
  5. [Section 5] In Section 5 the Run 2 α parameters (α=1 for ee, α=1/3 for μμ) differ from the common Run 3 choice (α=1, N=5). The text attributes this mainly to √s and fit range; a short clause confirming that the same selection criteria (spurious-signal |N_sig/σ_fit|<0.5 and F-test) were applied identically would make the continuity with Ref. [17] fully explicit.
  6. Minor typographical/formatting clean-ups: “EUROPEAN ORGANISA TION” (title page), occasional missing spaces around units, and consistent use of Z′_SSM vs Z'_SSM in text vs tables.

Circularity Check

0 steps flagged

No significant circularity: standard resonance search with data-driven background fit and external benchmark cross-sections.

full rationale

This ATLAS hep-ex search extracts 95% CL mass limits on Z' benchmarks by fitting an analytic background (Eq. 1) to the observed dilepton mass spectra, testing generic spin-1 signal shapes, finding no significant global excess, and intersecting fiducial cross-section limits with independent theoretical NNLO cross-sections for Z'_SSM, Z'_χ, and Z'_ψ. Background functional-form choice is optimized on Asimov/pseudo-data via spurious-signal and F-tests before interpretation; signal templates are reweighted from NLO DY MC and validated with dedicated LO Z' samples; interference is neglected by explicit assumption, not by fitting the signal into the background. Benchmark σ×B values are external theory inputs, not fitted to the same data. Self-citations to prior ATLAS Run-2 analyses supply luminosity rescaling and analysis strategy continuity, not load-bearing uniqueness theorems or fitted parameters renamed as predictions. The central claims are conventional frequentist limits from data vs. background-only, not circular reductions of inputs to outputs.

Axiom & Free-Parameter Ledger

3 free parameters · 5 axioms · 0 invented entities

The central null result and mass limits rest on standard collider-physics assumptions (SM background composition, detector response, asymptotic likelihoods) plus a small set of analysis-specific modelling choices (analytic background function, neglected interference, fixed relative-width hypotheses). No new physical entities are postulated; the Z′ benchmarks are taken from the existing literature.

free parameters (3)
  • Background fit parameters p_i and α (Eq. 1) = N=5, α=1 (Run 3 ee and μμ); values of p_i data-dependent
    The analytic background function has free shape parameters (N=5, α=1 for Run 3) determined by fitting the data; their values are not predicted a priori.
  • Signal strength μ (profile-likelihood PoI) = consistent with zero within uncertainties
    The single free parameter of interest floated in the S+B fit for each mass/width hypothesis.
  • Spurious-signal nuisance amplitude = parameterised; <1 % to 37 % of SSM yield depending on mass/channel
    Mass- and width-dependent systematic derived from background-only Asimov fits and included as a floating yield uncertainty.
axioms (5)
  • domain assumption Standard Model Drell–Yan, tt̄, single-top and diboson processes exhaust the high-mass dilepton background once a smooth analytic function is fitted.
    Section 5; residual fake-lepton and τ contributions declared negligible after matrix-method and MC estimates.
  • domain assumption Interference between a narrow spin-1 resonance and the DY continuum can be neglected inside the fiducial volume.
    Explicitly stated in Section 3; common approximation for narrow-width Z′ searches.
  • standard math Asymptotic formulae for the profile-likelihood ratio and CLs (Cowan et al., Read) are adequate for limit setting.
    Section 7; paper quantifies residual bias versus pseudo-data at a few mass points.
  • domain assumption Detector resolution can be parameterised and convolved with a non-relativistic Breit–Wigner to produce generic signal templates.
    Section 5; validated with zero-width signals.
  • ad hoc to paper Experimental uncertainties are uncorrelated between Run 2 and Run 3 while signal-modelling uncertainties are fully correlated.
    Section 6; standard but analysis-specific correlation model for the combination.

pith-pipeline@v1.2.0-daily-grok45 · 54088 in / 3053 out tokens · 59288 ms · 2026-07-31T10:58:28.631767+00:00 · methodology

0 comments
read the original abstract

A search for spin-1 $ee$ and $\mu\mu$ resonances in the high-mass range is presented. Two proton-proton ($pp$) collision datasets recorded by the ATLAS detector at CERN's Large Hadron Collider are utilised. A search is first performed using a dataset recorded at a center-of-mass energy of 13.6 TeV between 2022 and 2024, corresponding to an integrated luminosity of 165 fb$^{-1}$. The results of this search are subsequently statistically combined with results using 140 fb$^{-1}$ of data recorded between 2015 and 2018 at 13 TeV. The dilepton invariant mass spectrum is fitted with a functional form to model the contribution from Standard Model background processes. A generic spin-1 signal shape is used to determine the significance of observed deviations from the background expectation. No significant deviation is observed, therefore upper limits are placed at the 95% confidence level on the fiducial cross-section times branching ratio for a spin-1 resonance with various width hypotheses, individually for $ee$, $\mu\mu$ final states and for their combination. From the combined 13 TeV and 13.6 TeV results, mass limits are extracted for various benchmark model bosons, including a $Z^{\prime}_{\text{SSM}}$ (5.5 TeV), $Z^{\prime}_{\chi}$ (5.1 TeV) and $Z^{\prime}_{\psi}$ (4.8 TeV). These results represent the most stringent limits to date on high-mass dilepton resonances on the considered $Z'$ models.

discussion (0)

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Reference graph

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