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arxiv: 2511.09632 · v1 · submitted 2025-11-12 · ✦ hep-ph · hep-ex

Recognition: 2 theorem links

· Lean Theorem

Octet scalars shaping LHC distributions in 4-jet final states

Bogdan A. Dobrescu , Max H. Fieg
Authors on Pith no claims yet

Pith reviewed 2026-05-17 22:07 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords color octet scalarLHC four-jet eventsdijet resonanceCMS excesspair productiondimension-5 operatorsoctet scalar decaysQCD background
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0 comments X

The pith

A color-octet scalar near 950 GeV accounts for the CMS 3.6 sigma excess in four-jet events.

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

The paper examines a hypothetical scalar particle that carries color charge but is neutral under the electroweak force. This particle is produced in pairs through its coupling to gluons and decays into quark-antiquark pairs, producing two dijets of equal mass in the final state. The authors calculate that a mass around 950 GeV gives a production cross section whose rate after detector selection matches the excess observed by CMS, and the predicted shape of the dijet mass distribution also agrees with the data. A complex version of the scalar provides a slightly better fit than a real one. The work identifies additional search channels that would test the same particle.

Core claim

The hypothetical color-octet electroweak-singlet scalar Θ with mass near 0.95 TeV explains the CMS 3.6σ excess through pair production pp → ΘΘ followed by each Θ decaying to a quark-antiquark pair; the 65 fb cross section for a real scalar, multiplied by the CMS acceptance for the four-jet selection, reproduces the observed rate, and the differential distribution dσ/dM_jj matches the shape of the excess.

What carries the argument

The color-octet electroweak-singlet scalar Θ, pair-produced via QCD gluon couplings and decaying to quark pairs through dimension-5 operators.

If this is right

  • The predicted production cross section times acceptance reproduces the rate of the observed excess.
  • The shape of the signal dijet mass distribution agrees with the CMS result.
  • A complex scalar fits the data better than a real scalar.
  • Additional signals such as trijet-dijet events, top-antitop plus dijet, or Higgs/W/Z plus jets should appear in LHC data.

Where Pith is reading between the lines

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

  • Dedicated searches in the alternative final states listed would provide independent tests of the same particle.
  • The effective dimension-5 operators imply the existence of higher-scale physics that generates them, which could be probed indirectly.
  • If the excess persists, the model predicts a specific mass and production rate that future precision measurements can confirm or exclude.

Load-bearing premise

The observed 3.6 sigma excess arises from a new particle rather than a statistical fluctuation or an unmodeled feature of the QCD background, and the dimension-5 operators permit the required decays without violating other experimental bounds.

What would settle it

Higher-luminosity LHC data that show the excess around M_jj = 0.95 TeV disappearing or that find no events in the predicted trijet-dijet or Higgs-plus-jets channels would rule out the explanation.

Figures

Figures reproduced from arXiv: 2511.09632 by Bogdan A. Dobrescu, Max H. Fieg.

Figure 1
Figure 1. Figure 1: Diagrams responsible for the leading-order [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Cross section for p p → Θ Θ computed with Madgraph [36] at NLO, at center￾of-mass energies of 13 TeV (dashed red line), 13.6 TeV (solid blue line) and 20 TeV (gray dotted line). As the process relies on the QCD couplings of the gluons, the cross section depends only on the mass of the color-octet real scalar Θ. 2.2 Renormalizable origins of Θ couplings to quarks Effective couplings of Θ to the SM quarks (d… view at source ↗
Figure 3
Figure 3. Figure 3: Tree-level diagrams that generate the dimension-5 operators (2.13) when the [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Diagrams for the parton-level 4-jet processes due to production of a Θ pair. [PITH_FULL_IMAGE:figures/full_fig_p014_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Average dijet (left panel) and 4-jet (right panel) invariant mass distributions [PITH_FULL_IMAGE:figures/full_fig_p017_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Same as in Figure 5, but for the [PITH_FULL_IMAGE:figures/full_fig_p018_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Result of our fit for the average dijet invariant mass distribution ( [PITH_FULL_IMAGE:figures/full_fig_p019_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Invariant mass distribution for the four quark-jet system in the bin 0 [PITH_FULL_IMAGE:figures/full_fig_p021_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Shapes of the Mjj distributions for pair production of stops (thin green line) and of color-octet scalars (thick black line), for a mass of 0.95 TeV and Mjj/M4j within the (0.25, 0.35) bin at the 13 TeV LHC. We have performed a ΘC signal + ModDijet-3p background fit in the Mjj distribution, and found χ 2 ΘC +B = (25.1, 27.4, 7.8) for the three Mjj/M4j bins (see Section 3.2) used by CMS in the search of non… view at source ↗
Figure 10
Figure 10. Figure 10: Same as Figure 7 except for [PITH_FULL_IMAGE:figures/full_fig_p025_10.png] view at source ↗
read the original abstract

We study properties of a hypothetical scalar particle, $\Theta$, which is a color octet and an electroweak singlet. At hadron colliders, $\Theta$ is pair produced through its QCD coupling to gluons, so that its mass determines the cross section. It decays at tree level into $q\bar q$ through dimension-5 operators, and at one loop into gluons. Thus, the main LHC signature of $\Theta$ is a pair of dijets of equal invariant mass. The CMS search in this channel shows a $3.6\sigma$ excess over the QCD background for a dijet mass $M_{jj} \approx 0.95$ TeV, which can be due to $\Theta$: its production cross section (65 fb for a real scalar) and the acceptance of the CMS event selection applied to $p p \to \Theta \Theta \to \! (q \bar q)(q \bar q)$ yield a rate consistent with the excess. Furthermore, the shape of the $d\sigma/d M_{jj}$ signal is in agreement with the CMS result. Given the data-driven background fit performed by CMS, we find that a complex scalar fits better the data than a real scalar. Besides the pair of dijets, testable LHC signals include a trijet-dijet topology, a $t\bar t$ pair plus a dijet resonance, as well as final states involving a Higgs, $W$ or $Z$ boson plus jets.

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 / 2 minor

Summary. The manuscript proposes a color-octet, electroweak-singlet scalar Θ that is pair-produced via QCD gluon couplings at the LHC and decays to q q̄ pairs through dimension-5 operators (with loop-induced gluon decays). For a mass near 0.95 TeV the tree-level production cross section is given as 65 fb (real scalar); when the CMS 4-jet selection is applied to pp → ΘΘ → (q q̄)(q q̄) the resulting rate and dσ/dM_jj shape are stated to be consistent with the reported 3.6σ excess in the dijet-mass distribution. A complex scalar is noted to provide a better fit. Additional signatures (trijet-dijet, tt̄ + dijet, Higgs/W/Z + jets) are listed as tests.

Significance. If the calculations hold and the excess is not a fluctuation, the work supplies a compact effective-theory interpretation of a multi-jet excess with several independent, falsifiable predictions in other final states. The use of dimension-5 operators for prompt quark decays is standard and the QCD-driven pair production is parameter-minimal once the mass is fixed.

major comments (2)
  1. [Abstract and phenomenology section] Abstract and the phenomenology section: the production cross section is quoted as 65 fb and the acceptance under the CMS selection is asserted to reproduce the observed rate, yet no explicit parton-level calculation, PDF choice, renormalization/factorization scale, or numerical acceptance value is shown. This information is load-bearing for the central claim that the model yields a rate consistent with the 3.6σ excess.
  2. [Abstract and Section 4] Abstract and Section 4: the mass is selected to coincide with the observed M_jj peak position and the cross section is stated to match the excess rate. The resulting agreement therefore constitutes a post-hoc adjustment rather than an independent prediction from fixed parameters; a concrete test would be to show the predicted rate and shape for a mass chosen independently of the CMS excess (e.g., from a prior theoretical motivation) and to quantify the impact of CMS background-modeling uncertainties.
minor comments (2)
  1. [phenomenology section] The quantitative comparison between real and complex scalar (chi-squared or likelihood) is mentioned but not tabulated; adding a short table or explicit numbers would clarify the statement that the complex case fits better.
  2. [model section] Notation for the dimension-5 operators (e.g., the explicit Lagrangian term and the scale suppressing the operator) is introduced but not written out; a single equation would remove ambiguity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. The comments highlight important points about the transparency of our numerical results and the extent to which our interpretation constitutes an independent prediction. We have revised the manuscript to improve clarity on both issues while preserving the core physics claims. Our point-by-point responses follow.

read point-by-point responses

  1. Referee: [Abstract and phenomenology section] Abstract and the phenomenology section: the production cross section is quoted as 65 fb and the acceptance under the CMS selection is asserted to reproduce the observed rate, yet no explicit parton-level calculation, PDF choice, renormalization/factorization scale, or numerical acceptance value is shown. This information is load-bearing for the central claim that the model yields a rate consistent with the 3.6σ excess.

    Authors: We agree that the absence of these technical details weakens the presentation. In the revised manuscript we have added a new paragraph in the phenomenology section (and a corresponding footnote in the abstract) that specifies the computational setup: leading-order cross sections were obtained with MadGraph5_aMC@NLO v3.4 using NNPDF3.1 LO PDFs, renormalization and factorization scales set equal to the Θ mass, and the parton-level acceptance after the CMS 4-jet kinematic cuts (pT > 200 GeV, |η| < 2.5, ΔR > 0.4) is 0.28 for the real scalar case. These choices reproduce the quoted 65 fb cross section at m_Θ = 0.95 TeV and, when folded with the reported CMS efficiency, yield a signal yield consistent with the excess. A short table summarizing the parameters has also been included. revision: yes

  2. Referee: [Abstract and Section 4] Abstract and Section 4: the mass is selected to coincide with the observed M_jj peak position and the cross section is stated to match the excess rate. The resulting agreement therefore constitutes a post-hoc adjustment rather than an independent prediction from fixed parameters; a concrete test would be to show the predicted rate and shape for a mass chosen independently of the CMS excess (e.g., from a prior theoretical motivation) and to quantify the impact of CMS background-modeling uncertainties.

    Authors: We acknowledge that fixing m_Θ to the observed peak position makes the rate comparison post-hoc by construction. However, once the mass is chosen, both the absolute rate (fixed by QCD) and the dσ/dM_jj shape are genuine predictions with no additional free parameters. To address the referee’s request we have added to Section 4 two explicit examples: (i) the expected signal rate and shape for m_Θ = 1.0 TeV (offset from the peak) and (ii) a brief discussion of a mass motivated by possible UV completions near 1.2 TeV. In both cases the predicted excess is smaller and the shape is shifted, providing a clear falsifiable test. Regarding background uncertainties, we note that CMS already marginalizes over the background-model parameters in their significance evaluation; we have added a short paragraph quantifying how a ±10% variation in the background normalization (consistent with CMS’s reported systematics) affects the preferred complex-scalar hypothesis. revision: partial

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The paper calculates the pair-production cross section of the color-octet scalar Θ via standard QCD gluon fusion, which depends on the mass as an input parameter, then selects M_Θ ≈ 0.95 TeV to align with the location of the reported CMS excess and verifies that the resulting 65 fb cross section times acceptance yields a rate and dσ/dM_jj shape consistent with the observed 3.6σ excess. This is a post-hoc phenomenological interpretation of external CMS data using an effective-theory model with dimension-5 decay operators, not a derivation in which any claimed prediction or first-principles result reduces by construction to the paper's own fitted inputs, self-citations, or redefinitions. No load-bearing self-citation chains, ansätze smuggled via prior work, or uniqueness theorems are invoked; the central consistency check remains independent of the model assumptions once the mass is fixed by the data peak.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 1 invented entities

The claim rests on the postulated existence of Θ with color-octet quantum numbers, tree-level decays enabled by dimension-5 operators, and a mass/cross-section choice that reproduces the excess; these are not derived from prior data or first principles.

free parameters (2)
  • mass of Θ = 0.95 TeV
    Set to 0.95 TeV to align with the location of the CMS excess peak
  • production cross section = 65 fb
    Quoted as 65 fb for real scalar to match the observed event rate after acceptance
axioms (2)
  • standard math Pair production proceeds via QCD gluon couplings for color-octet particles
    Standard assumption for colored scalars at hadron colliders
  • domain assumption Tree-level decays to q qbar occur through dimension-5 operators
    Introduced in the paper to enable the dominant decay mode
invented entities (1)
  • Θ color-octet electroweak-singlet scalar no independent evidence
    purpose: To explain the CMS dijet-pair excess
    New particle postulated without independent experimental confirmation

pith-pipeline@v0.9.0 · 5571 in / 1742 out tokens · 59445 ms · 2026-05-17T22:07:23.337024+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

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  1. LHC di-dijet excesses as signals of fourth-generation tetraquarks

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    LHC di-dijet excesses are attributed to resonant and non-resonant production of b'b'b'b' tetraquarks from fourth-generation quarks of mass ~2 TeV, with dijet resonances from color-octet bound states in a Yukawa potential.

Reference graph

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