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Search for a Higgs boson produced in association with a charm quark and decaying to a W boson pair in proton-proton collisions at $\sqrt{s}$ = 13 TeV

T0 review · 2 major / 4 minor · reviewed 2026-08-05 · deepseek-v4-flash

Pith's one-line read A search of 138 fb^-1 of LHC proton-proton collisions finds no evidence for Higgs boson production in association with a charm quark (cH) in the H→WW→eνμν final state, and sets the first cH limit in this decay channel.

desk verdict First cH search in H->WW->e nu mu nu; competently done null result, but sensitivity is weak and the irreducible H+c-bkg modeling is the main soft spot. read the letter →

arxiv 2508.14988 v1 pith:L25SATSE submitted 2025-08-20 hep-ex

classification hep-ex
keywords HiggsbosoncharmquarkYukawacouplingkappa_cassociatedproductionHtoWWCMSLHC
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

Using the full 13 TeV Run 2 dataset (138 fb^-1), this search looks for a Higgs boson produced alongside a charm quark and decaying to an electron-muon neutrino pair. No such signal is observed: the measured cH yield is compatible with the background-only expectation within 1.5 standard deviations, and the 95% CL upper limit on the cH signal strength is 1065 (expected 506) times the standard model prediction in the main fit. Combined with the previous CMS cH search in the diphoton channel, the analysis constrains the Higgs-charm Yukawa coupling modifier to |κc| < 47 (expected 51) at 95% CL. This is the first cH search in the WW→eνμν final state and provides a production-based probe of the charm Yukawa coupling that is complementary to direct H→cc decay searches.

What carries the argument

The analysis is carried by two boosted-decision-tree classifiers plus charm-jet tagging. Dbkg separates cH from the ~90% top-quark background; DH-bkg separates cH from the irreducible H+c-bkg background, which has the same final state but no direct charm-Yukawa vertex. The distinction between fixing versus floating the H+c-bkg normalization (the 1POI versus 2POI fits) sets the main limit, and the flat-direction assumption converts the cross-section limit into a bound on |κc|.

What would settle it

Run the identical selection on the full Run 3 dataset (about 450 fb^-1 total): under this paper's background model the expected limit should improve from 506 by roughly sqrt(138/450), and no excess beyond 3 sigma should appear in the high-DH-bkg bins of the Nc-j=1 signal region. An excess there, or a sharply different observed limit, would indicate the H+c-bkg template is wrong.

Watch

Extended reading notes

Core claim

The central result is a 95% confidence-level upper limit on the cH production signal strength of 1065 (506 expected) times the standard model value when the normalization of the irreducible H+c-bkg background is fixed (1POI fit). When that background is floated (2POI fit), the limit loosens to 1804 (1097) because the two parameters are 87% anti-correlated. Combining the fixed-background fit with the previous CMS diphoton cH search yields |κc| < 47 (51 expected) at 95% CL, the tightest production-based constraint on the charm Yukawa coupling. The analysis separates the cH signal from the dominant top-quark background using one boosted decision tree (Dbkg) and from the kinematically similar H+

Load-bearing premise

The result rests on the assumption that the irreducible H+c-bkg background—a Higgs boson produced with a charm jet but without a direct charm-Yukawa vertex—is modeled well enough that the DH-bkg classifier separates it from the cH signal, with its normalization known to within the assigned 50% uncertainty when it is not floated.

Editorial extensions

If this is right

  • The cH process in the WW→eνμν channel is not observed in 138 fb^-1; the expected standard-model rate is more than 500 times below the current sensitivity.
  • Combined with the diphoton search, the production-based bound |κc| < 47 is the strongest from cH production, though it remains far above the direct H→cc decay bound of |κc| < 5.5.
  • In the 2POI fit, H+c-bkg and cH are 87% anti-correlated, so letting the H+c-bkg normalization float degrades the limit by about 70%; separating the two processes is the constraining factor.
  • The analysis is limited by statistical uncertainties today, but theoretical uncertainties from flavor-scheme choice and heavy-flavor modeling will dominate at the high-luminosity LHC.

Reading between the lines

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

  • A data-driven handle on H+c-bkg could come from bH events, which share the same heavy-flavor associated-production physics; calibrating DH-bkg on a bH-enriched region might reduce the 50% modeling uncertainty and sharpen the 2POI fit.
  • The strong cH–bH correlation (observed at -89%) suggests that a joint cH+bH fit with a common heavy-flavor nuisance parameter could improve the cH limit.
  • At the HL-LHC, the expected 506 limit at 95% CL should improve roughly as the square root of luminosity; reaching standard-model sensitivity will require both more data and a factor-of-~20 reduction in the flavor-scheme and H+c-bkg uncertainties.
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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 reports a search for Higgs boson production in association with a charm quark (cH) in the H->WW->e nu mu nu final state using 138 fb^-1 of CMS Run 2 data. Events are selected with an e-mu pair, missing transverse momentum, and at least one charm-tagged jet, split into Nc-j=1 and Nc-j>1 signal regions plus high-m_ll and top control regions. Two BDT classifiers (Dbkg and DH-bkg) are combined with k-means binning, and a binned likelihood fit extracts the cH signal strength mu_cH. In the 1POI scenario, where the irreducible H+c-bkg background is constrained to the SM prediction with a 50% uncertainty, the observed (expected) 95% CL upper limit is mu_cH < 1065 (506). In the 2POI scenario, where H+c-bkg is floated, the limit is 1804 (1097) and is -87% anti-correlated with cH. Combined with the preceding diphoton cH search, the result is |kappa_c| < 47 (51) at 95% CL under the flat-direction assumption.

Significance. The analysis is competently executed and follows standard CMS practice: data-driven tt normalization, two control regions, a detailed systematic inventory (Table 3), and an explicit 2POI cross-check. The limit-setting is not circular: the signal predictions are defined by externally fixed SM cross sections, and the kappa_c interpretation uses a stated published assumption. The main contribution is the first cH search in the H->WW channel; its expected sensitivity improves the combined kappa_c constraint from the diphoton-only expected 72.5 to 51, although the observed combined limit (47) is not better than the diphoton-only observed limit (38.1). The key weakness is the modeling of the irreducible H+c-bkg background, which is load-bearing for the 1POI result.

major comments (2)
  1. [Sections 5-7] The 1POI limit depends on separating cH from the irreducible H+c-bkg background (Fig. 2). The DH-bkg AUC is only 73-78%, and the H+c-bkg template is taken from simulation with no dedicated validation; the 50% normalization uncertainty is borrowed from ggH+bb [43] and no shape uncertainty is assigned to this component. The 2POI fit demonstrates the degeneracy: H+c-bkg is -87% anti-correlated with cH, and the observed limit degrades from 1065 to 1804. Please add a robustness test using an alternative H+c-bkg template, a shape uncertainty, or a control region enriched in H+c-bkg, or promote the 2POI result to the primary result.
  2. [Sections 3 and 7] The bH contribution, which is about eight times larger than cH (sigma = 660 vs 90 fb) and enters through the 27% b-jet mistag rate, is reported to be -89% correlated with cH. bH carries the same borrowed 50% normalization uncertainty and no dedicated control region. A conservative check with a larger bH uncertainty or an alternative bH template should be shown to establish that the cH limit is not driven by bH modeling assumptions.
minor comments (4)
  1. [Reference [23]] The HEPData DOI is given as 10.17182/hepdata.123456, which appears to be a placeholder. Please update to the actual record.
  2. [Table 1] The first row is garbled ('Nc-j =1 =1'). It should read '=1' for the Nc-j=1 SR column and '>1' for the Nc-j>1 SR column.
  3. [Section 4] The sentence 'the invariant mass (the pT) of the dilepton pair must be greater than 12 (30) GeV' should be separated into two explicit requirements, e.g., m_ll > 12 GeV and pT_ll > 30 GeV.
  4. [Section 7 / Abstract] Please state explicitly that the observed combined limit |kappa_c| < 47 is not an improvement over the diphoton-only observed limit |kappa_c| < 38.1 [21]; the gain from adding the H->WW channel appears only in the expected limit (72.5 to 51).

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: limits are set against external SM predictions; the only self-citation is the previous CMS diphoton result, used for combination and as method reference, not as a load-bearing derivation.

full rationale

The paper's central result, the observed (expected) upper limit on the cH signal strength of 1065 (506) times the SM value, is obtained from a binned maximum likelihood fit of data to simulation templates. The predicted signal is defined externally: the cH cross section of 90 fb comes from MadGraph5_aMC@NLO with NNPDF3.1 PDFs, and the H boson production and decay uncertainties are taken from the LHC Higgs cross section handbook. No fitted parameter enters the definition of the SM prediction being tested; the fit only determines the signal strength modifier relative to that prediction. The translation to |kappa_c| uses the flat direction assumption from external theory papers [20,92], which is explicitly stated as an assumption rather than disguised as a derivation. The only self-citation is the previous CMS cH search in the diphoton channel [21], used for the combination and as a methodological precedent; this is an independent measurement, not an input that forces the H->WW result. The irreducible H+c-bkg background modeling, while a legitimate systematic concern (fixed to simulation with a borrowed 50% uncertainty in the 1POI fit and floated with -87% anti-correlation in the 2POI fit), is a modeling uncertainty and not a circular step: the 2POI fit explicitly cross-checks the sensitivity to this background, and the quoted 1POI limit is the stated result with that systematic included. No equation or claimed prediction reduces by construction to a fitted parameter or to a self-citation chain.

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

The analysis rests on standard-model assumptions from the prior literature: the PDF set, external cross sections and branching fractions, the flavor-scheme treatment of heavy quarks, and the flat direction assumption used to translate a cross-section limit into a coupling modifier. No ad hoc assumptions are introduced by this paper beyond the standard choice to fix (1POI) or float (2POI) the irreducible Higgs-plus-charm background. The only fitted quantities are the signal strength itself, the tt normalization from control regions, and the floated Higgs-plus-charm normalization in the 2POI scenario. No invented entities are introduced.

free parameters (3)
  • mu_cH (cH signal strength, 1POI) = 390 +380/-270 (best fit); 95% CL upper limit 1065 observed, 506 expected
    Parameter of interest of the binned maximum likelihood fit; it is the measured yield ratio to the SM prediction, not an ad hoc input. The upper limit on it is the central result.
  • tt normalization factor = not quoted in the paper
    Unconstrained per data-taking period and c jet multiplicity category, determined from the high-mll and top control regions; standard data-driven background normalization.
  • mu_H+c-bkg (2POI scenario only) = not quoted; -87% correlation with mu_cH
    Normalization of the irreducible Higgs-plus-charm background floated in the alternative 2POI fit; fixed to simulation with a 50% uncertainty in the 1POI scenario.
assumptions (5)
  • domain assumption SM kappa framework with the flat direction assumption: deviations in Higgs couplings are parameterized by kappa_c while other couplings scale to keep other Higgs rates at unity
    Used to translate the mu_cH limit into |kappa_c| < 47; Section 7, Refs. [20, 92]. Assumes the SM structure of the cH amplitude with a modified charm Yukawa vertex.
  • domain assumption Massless charm and bottom quarks in the matrix elements (4FS for cH, 5FS for bH)
    Section 3; the flavor scheme difference is the dominant theoretical uncertainty (up to 30%) and is treated as a shape uncertainty.
  • domain assumption Modeling of the irreducible H+c-bkg background and its binned templates
    Sections 5-6; fixed from simulation with a 50% normalization uncertainty based on the ggH+bb calculation [43], or floated in the 2POI scenario. The separation from cH signal rests on the DH-bkg BDT and ghost-matched flavor classification.
  • domain assumption External SM predictions: NNPDF3.1 PDFs, generator cross sections, and Higgs branching fractions from the LHC Higgs cross section handbook [85]
    Sections 3 and 6; the expected limit and the kappa_c translation are relative to these external inputs.
  • domain assumption Background template shapes from simulation for non-tt backgrounds (V+jets, diboson, single top, H-bkg)
    Section 5; normalizations come from simulation except for tt, with theory and MC-statistical uncertainties assigned.

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Cite this review

Pith. "Pith review of Search for a Higgs boson produced in association with a charm quark and decaying to a W boson pair in proton-proton collisions at $\sqrt{s}$ = 13 TeV." pith.science (2026). https://pith.science/paper/L25SATSE

@misc{pith2026250814988,
  author       = {Pith},
  title        = {Pith review of: Search for a Higgs boson produced in association with a charm quark and decaying to a W boson pair in proton-proton collisions at $\sqrts$ = 13 TeV},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/L25SATSE}},
  note         = {Machine review of arXiv:2508.14988}
}
abstract

This paper presents a search for a Higgs boson produced in association with a charm quark (cH) which allows to probe the Higgs-charm Yukawa coupling strength modifier $\kappa_\mathrm{c}$. Higgs boson decays to a pair of W bosons are considered, where one W boson decays to an electron and a neutrino, and the other \PW boson decays to a muon and a neutrino. The data, corresponding to an integrated luminosity of 138 fb$^{-1}$, were collected between 2016 and 2018 with the CMS detector at the LHC at a center-of-mass energy of $\sqrt{s}$ = 13 TeV. Upper limits at the 95\% confidence level (CL) are set on the ratio of the measured yield to the standard model expectation for cH production. The observed (expected) upper limit is 1065 (506). When combined with the previous search for cH in the diphoton decay channel of the Higgs boson, the limits are interpreted as observed (expected) constraints at 95% CL on the value of $\kappa_\mathrm{c}$, $\lvert\kappa_\mathrm{c}\rvert$ $\lt$ 47 (51).

Figures

Figures reproduced from arXiv: 2508.14988 by the authors.

Figure 1
Figure 1. Leading-order Feynman diagrams that contribute to the pp [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Diagram illustrating H boson production in association with a charm quark in the [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. The area-normalized distributions of the two BDT classifiers: [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figures from the paper (5 more)
Figure 4
Figure 4. Figure 4: Distributions of Dbkg (left) and DH-bkg (right) for different H boson production pro￾cesses. The event counts correspond to the expected yields for 138 fb−1 . The splitting of H-bkg into three components is based on the flavor of the additional jet associated with the …
Figure 5
Figure 5. Figure 5: Observed and expected distributions of one-parameter-of-interest scenario after per [PITH_FULL_IMAGE:figures/full_fig_p013_5.png]
Figure 6
Figure 6. Figure 6: Upper limits of µcH at 95% CL for each data-taking period, and the combination of the periods. The light blue (red) bars show the 1 (2) standard deviation expected result of the 1POI fit with fixing the H+c-bkg contribution to the SM prediction. The green (yellow) bars…
Figure 7
Figure 7. Figure 7: Two-dimensional likelihood contour of µcH and µH+c-bkg. The color scale represents twice the negative log likelihood difference with respect to the best fit point. The observed 95% CL (dashed) and 68% CL (solid) contours are shown in black lines, and the best fit point…
Figure 8
Figure 8. Figure 8: Upper limits of µcH at 95% CL of the combined analysis with the previous result in the diphoton channel [21] using the 1POI fit. The light blue (red) bars show the 1 (2) standard deviation range of the expected results. The blue circles represent the median of the expe…

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