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Search for supersymmetry using Higgs boson to diphoton decays at $\sqrt{s} =$ 13 TeV

T0 review · 2 major / 4 minor · reviewed 2026-08-14 · deepseek-v4-flash

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Pith's one-line read A search for supersymmetry in Higgs-to-diphoton events at 13 TeV observes no excess and excludes sbottom masses below 530 GeV and chargino-neutralino masses below 235-290 GeV at 95% confidence.

desk verdict A well-executed CMS SUSY search with genuinely new exclusions (sbottom ~530 GeV, wino ~235 GeV, higgsino ~290 GeV), but the EWP limits rest on a background functional-form choice that lacks an explicit spurious-signal systematic. read the letter →

arxiv 1908.08500 v2 pith:U3BULFC4 submitted 2019-08-22 hep-ex

CMS Collaboration This is my paper · ORCID
classification hep-ex
keywords supersymmetryHiggsbosontodiphotonbottomsquarkchargino-neutralinogauge-mediatedbreakingrazorvariablesmT2LHC
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 sets out to determine whether supersymmetric particles produced in pairs at the LHC leave a visible imprint when their decay chains pass through a Higgs boson that decays to two photons. Using $77.5\,\mathrm{fb^{-1}}$ of 13 TeV proton-proton collisions, the CMS experiment reconstructs Higgs candidates via the diphoton mass and classifies events into search regions sensitive to strong and electroweak SUSY production. The observed spectra agree with standard model backgrounds, and no statistically significant excess is found. Interpreting the null result in simplified models, the paper excludes bottom squark pair production for squark masses below 530 GeV with a lightest SUSY particle of 1 GeV, wino-like chargino-neutralino production for masses below 235 GeV, and higgsino-like chargino-neutralino production for neutralino masses below 290 GeV when the neutralino decays exclusively to a Higgs boson and a gravitino. If correct, these results extend the previous search by roughly 100 GeV (sbottom) and 50 GeV (chargino-neutralino).

What carries the argument

The search's central tool is the Higgs-to-diphoton resonance tag: the diphoton invariant mass $m_{\gamma\gamma}$ is the discriminating observable, with SUSY signals producing a narrow peak near 125 GeV on top of a smoothly falling nonresonant background from standard model diphoton and photon+jets production. Events are divided into exclusive search regions using the number and flavor of leptons, b-tagged jet pairs compatible with $H\to bb$ or $Z\to bb$, and the kinematic variables $M_R$ and $R^2$ (razor variables, EWP analysis) or $m_{T2}$ and $p_T^{\gamma\gamma}/m_{\gamma\gamma}$ (SP analysis). The background shape is determined by fitting a family of analytic functions (sums of exponentials, Bernstein polynomials, Laurent series, and power laws) independently in each bin, selected by the Akaike information criterion for the EWP analysis or treated as a discrete nuisance via the envelope method for the SP analysis; signal and SM Higgs shapes are fixed from simulation using double Crystal Ball functions.

What would settle it

A concrete test would be to take a high-statistics diphoton control sample with negligible expected signal, split it into the same search region bins, inject a known artificial Higgs-like peak at 125 GeV, and check whether the background-family fit recovers the injected signal yield within the quoted uncertainty; a systematic bias larger than the quoted uncertainty would falsify the background-model assumption.

Watch

Extended reading notes

Core claim

The central claim is that no supersymmetry signal appears in the $\mathrm{H}\to\gamma\gamma$ final state at 13 TeV. After a simultaneous unbinned maximum-likelihood fit to the diphoton mass in all search regions, the data are consistent with the standard model prediction. The paper therefore reports exclusion limits at 95% confidence level for the simplified SUSY scenarios studied: bottom squark pair production with masses below 530 GeV (for a 1 GeV lightest SUSY particle), wino-like chargino-neutralino production in gauge-mediated SUSY breaking with chargino and neutralino masses below 235 GeV (1 GeV gravitino), and higgsino-like chargino-neutralino production in GMSB with neutralino masses below 290 GeV when $\tilde\chi^0_1\to H\tilde G$ is 100%, or below 230 GeV when $H\tilde G$ and $Z\tilde G$ are each 50%.

Load-bearing premise

The result rests on the assumption that the standard model diphoton and photon-plus-jets background is accurately described by the chosen family of smooth analytic functions in the 125 GeV mass window, so that a genuine resonance is neither absorbed into the fit nor mimicked by it.

Editorial extensions

If this is right

  • If the result is correct, bottom squark pair production is excluded at 95% confidence for squark masses below 530 GeV when the lightest SUSY particle has mass 1 GeV.
  • Wino-like chargino-neutralino production in gauge-mediated SUSY breaking is excluded for chargino and neutralino masses below 235 GeV with a 1 GeV gravitino.
  • Higgsino-like chargino-neutralino production in GMSB is excluded for neutralino masses below 290 GeV when the $\tilde\chi^0_1\to H\tilde G$ branching fraction is 100%, and below 230 GeV when the $H\tilde G$ and $Z\tilde G$ branching fractions are each 50%.
  • The two-pronged analysis strategy (razor variables for electroweak production, $m_{T2}$ and jet/b-tag counting for strong production) extends the previous CMS result by about 100 GeV for sbottom and 50 GeV for chargino-neutralino mass reach.

Reading between the lines

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

  • One consequence the paper leaves implicit: applying the same event categorization and background-fitting procedure to the full LHC Run 2 dataset (roughly twice the integrated luminosity) would likely extend the sbottom mass exclusion toward 600 GeV, provided the smooth background family remains adequate.
  • An independent cross-check would be to estimate the diphoton background with a data-driven control region (for example, $Z\to e^+e^-$ events with the electrons treated as photons) instead of the analytic family; agreement between the two methods would strengthen the exclusion, while disagreement would expose a bias in the background model.
  • The categorization by leptons, $H\to bb$, and $Z\to bb$ tags is directly reusable for other new-physics searches that use a Higgs boson as a tag, such as top-squark pair production decaying through a Higgs boson, where similar final-state signatures appear.
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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

2 major / 4 minor

Summary. This paper presents a search for supersymmetry in events with at least one Higgs boson decaying to two photons, using 77.5 fb^-1 of 13 TeV proton-proton collisions recorded by CMS. Two complementary analysis strategies are used: an electroweak-production-oriented analysis (EWP) with categories based on leptons, additional H/Z candidates, and razor variables, and a strong-production-oriented analysis (SP) with jet and b-jet counting plus mT2. The nonresonant diphoton and photon+jets background is modeled with functional fits, while the SM Higgs background is taken from simulation. No significant excess is found, and 95% CL exclusions are set on sbottom pair production, wino-like chargino-neutralino production, and higgsino-like GMSB production.

Significance. If the exclusions are correct, they extend previous CMS results by about 100 GeV for sbottom pair production and about 50 GeV for chargino-neutralino production, and they provide useful constraints on GMSB simplified models. The paper is commendably detailed: per-bin data yields, fitted backgrounds, signal expectations, and systematic uncertainties are shown in Tables 5-10, and the two-analysis strategy is a useful cross-check. The SP analysis uses discrete profiling for the background shape, which is a recognized way to cover functional-form uncertainty. The main weakness is that the EWP analysis does not explicitly assign a spurious-signal systematic to the AIC-selected background function, and the AIC bias test is not fully specified; since the EWP analysis drives the chargino-neutralino exclusions, this is a load-bearing point that needs to be addressed.

major comments (2)
  1. [Section 6 and Section 7, Table 7] The EWP analysis selects the nonresonant background function using the AIC after a bias test, but no explicit spurious-signal uncertainty is assigned for the discrete choice of functional form. Section 7 propagates only the uncertainties in the profiled parameters of the selected function, even though the nonresonant background is stated to contribute 75-99% of the total uncertainty. Because the EWP analysis is used for the central wino-like and higgsino-like chargino-neutralino exclusions in Section 8, a low-side bias of the AIC-selected function near m_gamma_gamma = 125 GeV in sensitive bins (for example EWP 2, 9, and 23 in Table 7, where the observed yields are above the fitted background) would directly strengthen the reported exclusions. The authors should either add a spurious-signal systematic estimated from closure tests with injected signals, or demonstrate quantitatively that the AIC bias-test threshold bounds any such bias to a level negligible for the limits.
  2. [Section 6] The description of the EWP bias test is incomplete: the manuscript does not specify the test statistic, the passing threshold, or the maximum allowed bias in the mass window around 125 GeV. The statement that the chosen functional form is 'adequate' is therefore not quantitatively supported. Since the central limits of the paper are derived from this background-modeling procedure, the authors should provide the bias-test details and, if possible, show the envelope of the bias across the 35 EWP search-region bins.
minor comments (4)
  1. [Table 6] The first row for SP 25 is garbled: '53 252 53 662 ± 104 973 ± 68' should be formatted with consistent separators, e.g., observed 53,252, fitted background 53,662 ± 104, and SM Higgs background 973 ± 68.
  2. [Figure 2 caption] The caption reads 'two example search bin is shown' and should be corrected to 'two example search bins are shown'.
  3. [Section 9] The summary states the limits extend 'previous best CMS results [8,9]', but Ref. [9] is an ATLAS paper; the wording should distinguish the CMS and ATLAS comparisons or cite only Ref. [8] for CMS.
  4. [Section 8 and Section 9] The text describing the higgsino-like limit as 'chargino and neutralino (chi_1^0) masses of up to 290 and 230 GeV' is confusing because Figure 5 is plotted against the chi_1^0 mass; please clarify whether the quoted numbers refer to the neutralino mass or the chargino mass.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the exclusion limits follow from an independent profile-likelihood fit of data against Monte Carlo signal models, not from a self-referential construction.

full rationale

The central claim — exclusion of sbottom, wino-like, and higgsino-like simplified SUSY models — is derived from a profile-likelihood ratio test under the CLs criterion with the asymptotic formula, comparing observed diphoton-mass spectra in 99 search bins against background-only and signal-plus-background hypotheses. Signal contributions are taken from independent MadGraph and PYTHIA Monte Carlo samples with a fixed double-Crystal-Ball resonance shape and NLO+NLL theoretical cross sections; the nonresonant background is a smooth falling function fit to each bin's m_gamma_gamma distribution, with functional-form choice handled either by AIC plus bias tests (EWP) or by discrete profiling (SP). Neither input is defined in terms of the output exclusions: the data are not generated from the fitted signal hypothesis, and the limits are observed counts compared with independent model expectations, not fitted cross sections renamed as predictions. Self-citations to Ref. [8] carry over the EWP categorization, the AIC procedure, and the 0.85% resolution threshold, but the previous search is an independent prior analysis on an earlier data set, and the present exclusion limits are new statistical results from the 2016-2017 data. The skeptical concern that the EWP AIC choice lacks an explicit spurious-signal systematic is a potential functional-form-bias or uncertainty-coverage issue, not an equation-level circular reduction; the paper never defines the derived exclusion in terms of the fitted background model. No circular step can be identified by the quoted equations or load-bearing self-citations.

Assumptions & free parameters 3 free parameters · 5 assumptions · 0 invented entities

No new entities are introduced; the SUSY particles and the GMSB gravitino LSP are taken from prior theory. The free parameters are background fit nuisance parameters, empirical ISR corrections, and analysis binning choices.

free parameters (3)
  • Nonresonant background shape and normalization parameters = profiled, values not reported
    In each search region, the smooth background is fitted to the diphoton mass distribution; the exclusion limit depends on these parameters, but they are nuisance parameters constrained by the data rather than physical constants.
  • ISR shape corrections = 0.92 to 0.51 for jet multiplicity, 1.18 to 0.78 for pT
    Derived from ttbar and Z plus jets control samples and applied to signal simulation; they are empirical corrections with propagated systematic uncertainty, not fitted to the search data.
  • Search region bin boundaries = not applicable
    Bin boundaries in MR, R2, mT2, and diphoton pT over mass were chosen to maximize expected sensitivity using simulation; this is a hand-chosen design choice that affects the final limits.
assumptions (5)
  • ad hoc to paper The nonresonant background in each search bin can be described by one of the fitted analytic function families.
    Invoked in Section 6 for the background fit; bias tests reduce but do not eliminate the risk that the true shape is outside the family.
  • domain assumption The SM Higgs background and SUSY signal shapes are described by double Crystal Ball functions with parameters fixed from simulation.
    Stated in Section 6; the signal extraction relies on these shapes being correct within the assigned systematics.
  • domain assumption CMS fast simulation accurately models object efficiencies, resolutions, and missing transverse momentum for the signal samples.
    Stated in Section 3; validated against full simulation but introduces the 3 to 16 percent missing transverse momentum modeling uncertainty listed in Table 4.
  • domain assumption The NLO plus NLL cross sections for the simplified SUSY models are correct.
    Used in Section 8 to convert observed counts into mass limits; the limits inherit the quoted theory uncertainties of 5 to 30 percent.
  • standard math The profile likelihood ratio test statistic follows the asymptotic chi-square distribution used for CLs limits.
    Used in Section 8 with the asymptotic formula of Cowan and collaborators [60]; standard in LHC searches.

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Cite this review

Pith. "Pith review of Search for supersymmetry using Higgs boson to diphoton decays at $\sqrt{s} =$ 13 TeV." pith.science (2026). https://pith.science/paper/U3BULFC4

@misc{pith2026190808500,
  author       = {Pith},
  title        = {Pith review of: Search for supersymmetry using Higgs boson to diphoton decays at $\sqrts =$ 13 TeV},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/U3BULFC4}},
  note         = {Machine review of arXiv:1908.08500}
}
abstract

A search for supersymmetry (SUSY) is presented where at least one Higgs boson is produced and decays to two photons in the decay chains of pair-produced SUSY particles. Two analysis strategies are pursued: one focused on strong SUSY production and the other focused on electroweak SUSY production. The presence of charged leptons, additional Higgs boson candidates, and various kinematic variables are used to categorize events into search regions that are sensitive to different SUSY scenarios. The results are based on data from proton-proton collisions at the Large Hadron Collider at a center-of-mass energy of 13 TeV collected by the CMS experiment, corresponding to an integrated luminosity of 77.5 fb$^{-1}$. No statistically significant excess of events is observed relative to the standard model expectations. We exclude bottom squark pair production for bottom squark masses below 530 GeV and a lightest SUSY particle mass of 1 GeV; wino-like chargino-neutralino production in gauge-mediated SUSY breaking (GMSB) for chargino and neutralino masses below 235 GeV with a gravitino mass of 1 GeV; and higgsino-like chargino-neutralino production in GMSB, where the neutralino decays exclusively to a Higgs boson and a gravitino for neutralino masses below 290 GeV.

Figures

Figures reproduced from arXiv: 1908.08500 by the authors.

Figure 1
Figure 1. Diagrams displaying the simplified models that are being considered. Upper left: bot [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. The diphoton mass distribution for two example search bin is shown with the [PITH_FULL_IMAGE:figures/full_fig_p015_2.png] view at source ↗
Figure 3
Figure 3. The observed 95% CL upper limits on the bottom squark pair production cross section [PITH_FULL_IMAGE:figures/full_fig_p016_3.png] view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: The observed 95% CL upper limits on the wino-like chargino-neutralino production [PITH_FULL_IMAGE:figures/full_fig_p017_4.png]
Figure 5
Figure 5. Figure 5: The observed 95% CL upper limits on the production cross section for higgsino [PITH_FULL_IMAGE:figures/full_fig_p017_5.png]
Figure 6
Figure 6. Figure 6: The observed 95% CL upper limits on the bottom squark pair production cross section [PITH_FULL_IMAGE:figures/full_fig_p030_6.png]
Figure 7
Figure 7. Figure 7: The observed 95% CL upper limits on the production cross section for higgsino-like [PITH_FULL_IMAGE:figures/full_fig_p031_7.png]

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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    A search for bottom-squark pairs decaying into Higgs bosons, b-quarks, and missing energy found no excess and excluded bottom-squark masses up to 1.5 TeV.

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Pith tools

Reviewed August 14, 2026 · model on record in the stance chip above.