{"id":"0d6ead57-575d-4aab-a0fe-0f94e9cff86f","arxiv_id":"2608.01289","paper_version":1,"verdict":"ACCEPT","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"low","formal_verification":"none","parameter_count":10,"one_line_summary":"A simultaneous profile-likelihood fit of all CMS leptonic vector boson scattering channels finds signal strengths consistent with the standard model and provides a charge-separated measurement of W boson production.","lead":"CMS combined seven vector boson scattering measurements, covering same-sign WW, opposite-sign WW, WZ, and ZZ, into one statistical fit using 138 inverse femtobarns of 13 TeV proton-proton collisions. All measured rates agree with the standard model, and a charge-separated fit adds new sensitivity to the W production asymmetry.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The load-bearing assumption is the cross-analysis nuisance correlation scheme; no external check of its effect on the Table 3 intervals is provided.","rationale":"The reader's weakest assumption combines phase-space orthogonality and the systematic-correlation scheme. The orthogonality argument appears strong: Section 5 describes a strict partition by exclusive charged-lepton multiplicities, with vetoes on additional leptons, so an event cannot populate both the single-lepton WV region and the two-lepton OSWW/SSWW or three-lepton WZ regions, nor a two-lepton OSWW region and a four-lepton ZZ region. The SSWW-tau-h channel is separated by the hadronic-tau requirement and lepton multiplicity. The remaining soft spot is the cross-analysis correlation matrix, which is asserted and internally robustness-tested but not externally documented. This is a correctness risk on the quoted uncertainties rather than on the central SM-agreement narrative, and the paper already acknowledges the test in Section 6. Because the concern is not contradicted by any internal inconsistency in the paper and can be settled by rerunning the fit with varied correlation assumptions, it does not change the acceptance verdict, but it does justify the reader's MODERATE rather than HIGH confidence.","tokens_in":42717,"tokens_out":7001,"duration_ms":76004,"concrete_test":"Reconstruct the COMBINE workspace from the HEPData record and rerun the 4-POI and 6-POI fits under three variants for the dominant shared normalization uncertainties (luminosity, QCD renormalization/factorization scale, PDF, and lepton identification): (a) all fully correlated across channels, (b) all fully uncorrelated across channels, and (c) the published nominal scheme. Record whether any POI central value in Table 3 shifts by more than 0.02 or any quoted ±1-sigma interval width changes by more than 10%. If neither occurs, the correlation concern does not land; if the workspace is not available, the paper should include this correlation-variation table as a public supplement.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim depends on the product likelihood in Eq. (2) correctly encoding the joint probability of the 48 phase-space regions, and in particular on the assigned correlations for shared systematic uncertainties. Section 6 states that theoretical uncertainties are correlated across analyses 'wherever appropriate' and that the correlation scheme was 'tested for robustness', but it does not list which nuisance parameters are shared among SSWW, OSWW, WZ, ZZ, WV, and ZV, nor does it quantify the robustness test. In particular, common normalization uncertainties such as the integrated-luminosity uncertainty of 1.6% and PDF/scale uncertainties plausibly affect every channel; if these were implemented as separate uncorrelated nuisance parameters, the combined fit could exploit them to absorb per-channel rate discrepancies, shifting central values and shrinking the quoted intervals. Conversely, over-correlating them would inflate the uncertainties. The paper's key quantitative claims—the signal strengths and interval widths in Table 3, and the up-to-15% sensitivity improvement—are precisely these intervals, so this is the least secure link in the argument.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"This paper reports a statistical combination of seven CMS measurements of electroweak vector boson scattering (VBS) at sqrt(s)=13 TeV using 138 fb^-1 of data. A profile-likelihood fit is performed over 48 phase-space regions with the COMBINE tool, using a 4-POI model (SSWW, OSWW, WZ, ZZ) and a 6-POI model that separates W boson charges. The measured signal strengths are consistent with the standard model, with significances ranging from 4.0 to >5 sigma, and the charge-separated fit probes the production charge asymmetry. The paper claims improved sensitivity of up to 15% relative to the best individual CMS channels and positions the result as the most comprehensive VBS combination to date.","tokens_in":42941,"tokens_out":6424,"duration_ms":55060,"significance":"If the quoted intervals are correct, this is a valuable global consistency test of the electroweak gauge structure and the first simultaneous charge-separated VBS constraint. The analysis uses the established CMS/ATLAS profile-likelihood framework with COMBINE, provides tabulated results in HEPData, and explicitly constructs orthogonal phase-space regions. The central results are falsifiable and should be of broad interest to the electroweak and Higgs sectors.","major_comments":[{"comment":"The cross-analysis nuisance parameter correlation scheme is load-bearing for the quoted signal strengths and intervals in Table 3, the significances, and the claimed up-to-15% improvement in Section 8, but the manuscript only states in Section 6 that theoretical uncertainties are correlated across analyses 'wherever appropriate' and that the adopted correlation scheme was 'tested for robustness' with 'limited sensitivity' to variations. The paper does not list which nuisance parameters are shared among SSWW, OSWW, WZ, ZZ, WV, and ZV, nor does it quantify the robustness test. Because the product likelihood in Eq. (2) is sensitive to over- or under-correlation of common luminosity (1.6%), PDF/scale, and jet energy scale uncertainties, please specify the shared nuisance parameters and report the numerical effect of the tested correlation variations on the Table 3 intervals in the Letter or in the HEPData record.","section":"Section 6, Eq. (2), Table 3"},{"comment":"The product likelihood in Eq. (2) assumes statistical independence of the 48 phase-space regions. The paper asserts in Section 5 that exclusive charged-lepton multiplicities and kinematic vetoes make the regions orthogonal, but it does not demonstrate that the WV and ZV hadronic-V categories are fully disjoint from the fully leptonic OSWW, WZ, and ZZ categories. Please provide a concise cross-check of zero event overlap between all pairs of input analyses, or cite the specific tables or figures in Refs. [35-40] that establish this orthogonality, so that the independence assumption behind Eq. (2) can be verified.","section":"Section 5 and Eq. (2)"}],"minor_comments":[{"comment":"The caption contains a typo: '68.3% ans 95.5%' should be '68.3% and 95.5%'; also, '95.5%' should be made consistent with '95.4%' used in Section 7.","section":"Section 7 and Fig. 3 caption"},{"comment":"The index notation 'bin=k' and 'syst=j' is informal; please define the range or meaning of these indices explicitly.","section":"Eq. (2)"},{"comment":"The subregion entry 'CR DY resolved b-tag, b-veto (2017-2018)' appears to represent two subregions, but this is not stated; clarify the decomposition so that the total count of 48 phase-space regions is traceable.","section":"Table 2"},{"comment":"The date format '6, 2026' is nonstandard; please use a conventional month/year format such as 'Jun 2026'.","section":"Reference [21]"},{"comment":"The labels '1 SD (stat) ⊕ 1 SD (syst)' are visually ambiguous; please indicate clearly which band represents the statistical and which represents the systematic component.","section":"Figure 4"}],"recommendation":"major_revision","confidential_remarks":"The paper is within the scope of Physics Letters B and the methodology is standard for LHC combinations. The main substantive deficiency is that the cross-analysis correlation scheme and the orthogonality underlying Eq. (2) are asserted rather than documented; I do not recommend rejection, but the authors should add the requested details before publication."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"You should know two things up front. First, the genuinely new result here is the simultaneous four- and six-parameter combination of all massive VBS channels (SSWW, OSWW, WZ, ZZ) in one profile-likelihood fit, with the six-POI version separating W boson charges for the first time. Second, the statistical model is standard LHC practice: COMBINE, profile likelihood, nuisance parameters, Barlow–Beeston for MC stat. Nothing exotic, and that is a strength.\n\nThe paper does what it claims. The input analyses are all previously published CMS results, but the combination itself is new and the charge-separated parameterization is a real addition. The signal strengths in Table 3 are consistent with the SM within 68.3% CL, the significances are high, and the claimed precision improvement of up to 15% in OSWW and WZ is plausible given the added WV and ZV channels. The text is clear about the orthogonality strategy: exclusive charged-lepton multiplicities plus kinematic vetoes, with 48 phase-space regions and 1525 bins. I see no circularity: the signal strengths are ratios to SM predictions, not derived from them, and the charge asymmetry is a fitted output.\n\nThe soft spot is exactly the one the stress-test note flags. Section 6 says theoretical uncertainties are correlated “wherever appropriate” and that the correlation scheme was “tested for robustness,” but it does not list which nuisance parameters are shared across SSWW, OSWW, WZ, ZZ, WV, and ZV, nor does it quantify the robustness test. Since the combined intervals and the claimed sensitivity gain depend on those correlations, this is a legitimate referee question. It is a request for fuller documentation, not a reason to doubt the central result. The same holds for the reliance on phase-space exclusivity: the logic is explicit, but a skeptical reader cannot fully verify it without the internal analysis artifacts.\n\nThe reader's plan is right. I disagree with the stress-test's framing that this is the load-bearing flaw in a way that threatens the conclusion. The combination is built from published analyses with a standard framework; the correlation scheme is a tunable assumption, and the stated robustness check, though underdescribed, is the kind of thing CMS routinely does. I would send this to peer review rather than desk reject, and I would ask the authors to provide a more detailed correlation table and robustness summary.\n\nThis paper is for experimental HEP audiences and for phenomenologists who want the current global VBS picture. It deserves a serious referee. I would cite it as the reference for combined VBS signal strengths at 13 TeV.","headline":"A solid, standard CMS combination paper that delivers the first coherent 4- and 6-POI VBS fits and a new charge-separated W measurement; the correlation scheme is the one soft spot, but it does not sink the paper.","tokens_in":43469,"tokens_out":1394,"would_cite":true,"duration_ms":15960,"reading_group":"yes","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"deepseek-v4-flash","headline":"Combining seven vector boson scattering analyses in a single profile-likelihood fit yields signal strengths consistent with the standard model while improving precision by up to 15%.","keywords":["vector boson scattering","electroweak gauge bosons","same-sign WW","opposite-sign WW","WZ production","ZZ production","signal strength","charge asymmetry"],"falsifier":"Run a set of simulated events through the selections of the WZ signal region and the WV and ZV signal regions and count how many pass more than one selection; any nonzero overlap would mean the orthogonality premise fails and the product likelihood double-counts events.","tokens_in":42503,"feed_emoji":"⚛️","tokens_out":8148,"duration_ms":72378,"temperature":0.7,"pith_summary":"This paper combines seven CMS measurements of electroweak vector boson scattering into one statistical fit, using 138 fb$^{-1}$ of proton-proton collisions at 13 TeV. The goal is to see whether the rates of same-sign WW, opposite-sign WW, WZ, and ZZ production, each accompanied by two forward jets, all agree with the standard model when constrained simultaneously. The fit returns signal strengths near one in all channels, with all results within 68.3% confidence of the standard model predictions, and it improves the precision of the OSWW and WZ channels by up to 15% over the best single measurement entering the combination. A second fit that separates $W^+$ and $W^-$ charges probes the production charge asymmetry expected from the proton's valence quarks. If the results are right, the electroweak gauge structure of the standard model passes a simultaneous test across all VBS processes.","feed_headline":"All vector boson scattering channels still match the standard model","feed_subtitle":"Combining seven analyses tightens W/Z scattering precision by up to 15 percent and separates W+ from W- rates.","key_machinery":"The load-bearing object is a binned profile-likelihood fit in which the signal strength $\\mu=\\sigma_{\\mathrm{obs}}/\\sigma_{\\mathrm{SM}}$ scales the predicted signal templates in each phase-space region. The combined likelihood multiplies Poisson terms over 48 phase-space regions and 1525 bins, with nuisance parameters for shared experimental and theoretical uncertainties, per-bin terms for the limited size of simulated samples, and a specified correlation scheme across analyses and data-taking years. Orthogonality among the seven input analyses is enforced primarily by exclusive charged-lepton multiplicities and vetoes, refined by kinematic selections on the VBS jets. Statistical significance and confidence intervals come from the profile likelihood ratio in the asymptotic limit.","core_discovery":"On its own terms, the paper claims that a global statistical combination of VBS measurements yields signal strengths $\\mu = \\sigma_{\\mathrm{obs}}/\\sigma_{\\mathrm{SM}}$ of $1.05^{+0.15}_{-0.14}$ for SSWW, $1.11^{+0.20}_{-0.20}$ for OSWW, $1.21^{+0.28}_{-0.25}$ for WZ, and $1.15^{+0.44}_{-0.37}$ for ZZ in the four-parameter model, with statistical significances above 5, 6.4, 7.0, and 4.0 standard deviations, respectively. In the six-parameter charge-separated model, the values are $1.13^{+0.17}_{-0.16}$ for $W^+W^+$, $0.84^{+0.28}_{-0.24}$ for $W^-W^-$, $1.10^{+0.20}_{-0.20}$ for $W^+W^-$, $1.16^{+0.32}_{-0.27}$ for $W^+Z$, $1.31^{+0.47}_{-0.40}$ for $W^-Z$, and $1.16^{+0.44}_{-0.38}$ for ZZ. All measured values agree with the standard model within 68.3% confidence, and two-dimensional simultaneous fits show only mild correlations among the signal strengths. The paper presents this as a coherent global test of the electroweak gauge structure that was not accessible in single-channel measurements, with sensitivity improved by up to 15% in the OSWW and WZ channels.","pith_inferences":["Inference: The ratio of the charge-separated signal strengths, e.g. $\\mu_{W^+W^+}/\\mu_{W^-W^-}$ and $\\mu_{W^+Z}/\\mu_{W^-Z}$, would isolate the production charge asymmetry more directly than the six individual values, and the paper does not report those ratios.","Inference: The same combined likelihood could be reinterpreted as a constraint on anomalous quartic gauge couplings, although the paper stops at the standard-model signal-strength interpretation.","Inference: Because the robustness of the correlation scheme is described as an internal test, an independent re-analysis using only the public per-channel results with alternative correlation assumptions would settle whether the 15% precision gain is stable.","Inference: A simulation-based closure test that deliberately injects events satisfying two different region selections would quantify how much the orthogonality assumption matters for the central values."],"forward_implications":["All four VBS production modes are constrained in a single coherent fit, so their signal strengths can be compared with the standard model as a correlated set rather than channel by channel.","The six-parameter charge-separated fit gives simultaneous access to $W^+$ and $W^-$ rates, making the expected production charge asymmetry from the proton's valence quarks measurable in one framework.","The combination improves the precision of the OSWW and WZ channels by up to 15% relative to the best single measurement entering the fit.","If the measurements are correct, the electroweak gauge sector remains intact across same-sign WW, opposite-sign WW, WZ, and ZZ scattering at this energy and luminosity.","The 48-region, 1525-bin likelihood provides a reusable statistical benchmark for future VBS combinations at higher luminosity."],"supporting_citations":[{"why":"This input supplies the fully leptonic SSWW (e,$\\mu$) and WZ signal templates that dominate the combined sensitivity.","marker":"[35]"},{"why":"This input adds the SSWW channel with a hadronically decaying tau lepton, extending same-sign WW coverage.","marker":"[36]"},{"why":"This input provides the opposite-sign WW measurement with leptonic decays and its control regions.","marker":"[37]"},{"why":"This input supplies the ZZ(4$\\ell$) measurement and its matrix-element discriminant.","marker":"[38]"},{"why":"This input provides the WV $\\to \\ell\\nu jj$ channel that constrains a mixture of SSWW, OSWW, and WZ production.","marker":"[39]"},{"why":"This input supplies the ZV $\\to 2\\ell jj$ channel that adds constraining power for WZ and ZZ production.","marker":"[40]"},{"why":"This reference defines the common profile-likelihood combination procedure used to build the product likelihood.","marker":"[87]"},{"why":"This reference provides the statistical fitting implementation used for the profile-likelihood fits.","marker":"[89]"},{"why":"This reference gives the asymptotic formulae used to convert likelihood ratios into significances and confidence intervals.","marker":"[92]"}],"fun_headline_variants":["Global VBS combination keeps all rates SM-consistent","Seven VBS inputs, one coherent SM-compatible result","Combined VBS fit sharpens W/Z precision, no deviations","Charge-resolved VBS rates match SM across the board"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that the seven input analyses sample disjoint events and that the correlations among their shared systematic uncertainties are correctly specified, so the product likelihood in Eq. (2) is a faithful description; if events can enter more than one region or the correlation scheme is wrong, the combined uncertainties and the claimed 15% improvement could be biased.","fun_headline_variants_meta":{"raw":{"variants":["Global VBS combination keeps all rates SM-consistent","Seven VBS inputs, one coherent SM-compatible result","Combined VBS fit sharpens W/Z precision, no deviations","Charge-resolved VBS rates match SM across the board"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000412,"raw_usage":{"total_tokens":2202,"prompt_tokens":1086,"completion_tokens":1116,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":702,"completion_tokens_details":{"reasoning_tokens":1048}},"tokens_in":702,"tokens_out":1116,"duration_ms":7537,"temperature":1.0,"reasoning_tokens":1048,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-15T15:08:52.196036+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Run a set of simulated events through the selections of the WZ signal region and the WV and ZV signal regions and count how many pass more than one selection; any nonzero overlap would mean the orthogonality premise fails and the product likelihood double-counts events.","supporting_citations":[{"cited_title":"Evidence for electroweak production of four charged leptons and two jets in proton-proton collisions at√s= 13 TeV","cited_arxiv_id":null,"evidence_quote":"This input supplies the ZZ(4$\\ell$) measurement and its matrix-element discriminant."},{"cited_title":"Study of same-sign W boson scattering and anomalous couplings in events with one tau lepton from pp collisions at√s=13 TeV","cited_arxiv_id":null,"evidence_quote":"This input adds the SSWW channel with a hadronically decaying tau lepton, extending same-sign WW coverage."},{"cited_title":"Observation of electroweak W +W− pair production in association with two jets in proton-proton collisions at√s= 13 TeV","cited_arxiv_id":null,"evidence_quote":"This input provides the opposite-sign WW measurement with leptonic decays and its control regions."},{"cited_title":"Evidence for WW/WZ vector boson scattering in the decay channel ℓνqq produced in association with two jets in proton-proton collisions at√s= 13 TeV","cited_arxiv_id":null,"evidence_quote":"This input provides the WV $\\to \\ell\\nu jj$ channel that constrains a mixture of SSWW, OSWW, and WZ production."}],"review_version":2}