{"id":"ef00730d-a263-4e3b-9722-9c756048c209","arxiv_id":"1207.1545","paper_version":1,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":5.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"In GUT-scale NMSSM scans, two CP-even Higgs bosons can both lie in the 123 to 128 GeV window, and their summed signals can push diphoton and vector-boson rates above the Standard Model.","lead":"A scan of a supersymmetric Higgs model finds parameter regions where two Higgs bosons, not one, sit inside the 123 to 128 GeV window reported at the LHC, and their signals can add to give enhanced diphoton rates. If real, the single 125 GeV peak could be two overlapping states, which changes how the discovery is read.","discovery_kind":"extension","skeptic_critique":{"model":"selfhosted/deepseek-v4.1-flash","headline":"The reader's interference objection does not land: Γ_h ≈ 4 MeV << Δm ≥ 0.1 GeV makes the incoherent sum in Eqs. (3)-(4) accurate to ~10^-2. The real soft spot is reliance on NMSSMTools 3.2.0's new large-λ RGE convergence, exactly where the result lives.","rationale":"The paper is a hedged existence study: it claims that GUT-scale NMSSM points exist with both h1 and h2 in 123–128 GeV and with enhanced γγ and VV rates, and that broadened peaks are a natural consequence. Existence claims of this kind are robust, and the authors are candid about what does not work: they state plainly that δa_μ is at most ~2×10^-10, far below the measured window, and that most points have Ωh2 below the WMAP window. Those are acknowledged limitations, not new findings. The reader's specific objection — coherent versus incoherent addition in Eqs. (3)-(4) — is quantitatively void for the reasons given above: with Γ_h ≈ 4 MeV and Δm ≥ 0.1 GeV, the interference term is suppressed by Γ/Δm and the incoherent sum is the correct leading approximation. The relative sign of the two amplitudes, which the reader flags as undiscussed, is irrelevant at that level of accuracy. The concern that does carry weight is different: the novelty of the result is coextensive with the novelty of the tool's capability. The authors explicitly say NMSSMTools 3.2.0 'has improved convergence of RGEs in the case of large Yukawa couplings and thus allows us to explore parameter regions that were left uncharted in [5].' The headline points sit precisely in that newly opened region, at λ near the perturbativity boundary, and the 5 GeV mass window is narrow relative to the accuracy usually attributed to the SM-like Higgs mass in such codes. That is a correctness risk worth flagging, but it does not overturn the qualitative conclusion, which is appropriately worded as 'possible' and 'natural.' The secondary reproducibility point the reader raises — no scan code, seeds, or point tables shipped — is fair but minor for an existence claim. The verdict label CONDITIONAL remains appropriate; only the reason shifts from interference to tool reliability in the large-λ regime. Hence UNCHANGED, with disagreement on the reader's stated weakest assumption.","tokens_in":10400,"tokens_out":7009,"duration_ms":132899,"concrete_test":"Take the WMAP-window diamond points (λ ∈ [0.58, 0.65], m_0 ∈ [0.9, 1.3] TeV, m_{1/2} ∈ [500, 700] GeV) and recompute the spectrum with an independent NMSSM implementation, e.g. SPheno/SARAH with two-loop RGEs or a later NMSSMTools release. If m_h1 and m_h2 both remain in 123–128 GeV and R^gg(γγ) > 1 survives for a majority of the points, the concern is dismissed. If a substantial fraction migrate out of the window or drop below R = 1, the quantitative claim needs restating with the code's uncertainty band.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The reader's concern is that Eqs. (3)-(4) sum the h1 and h2 rates incoherently when two CP-even amplitudes for gg→h→γγ should add coherently. In principle they do share initial and final state, but the cross term is suppressed by the overlap of the two Breit-Wigner propagators, ~Γ_h/Δm_h. The paper states (p. 2) that the h_i widths are of order the SM 125 GeV width, Γ ≈ 4 MeV, while the plotted points have Δm ≥ ~0.1 GeV (the red band is Δm ≤ 1 GeV). The suppression is therefore ≤ ~4×10^-2 and typically ~10^-3. The incoherent sum R_h = R_h1 + R_h2 in Eq. (4) and the rate-weighted mass in Eq. (3) are correct to that accuracy, and the relative sign of the two couplings is irrelevant. This objection does not land. The genuine soft spot is upstream. The entire existence claim lives in the large-λ region (λ up to 0.7; WMAP-window points have λ ∈ [0.58, 0.65]) that the authors say was 'left uncharted in [5]' because of RGE convergence problems, and which NMSSMTools 3.2.0 now opens. The result is therefore coextensive with a specific, recently added capability of one code, applied at the edge of perturbativity (λ ~ 0.6 at M_Z running to M_GUT with 'no Landau pole' required). If that convergence improvement is not robust — for instance if the two-loop RGEs or the singlet-sector threshold corrections differ from an independent implementation — the points could migrate out of the 123–128 GeV window or lose R^gg(γγ) > 1. The window is only 5 GeV wide, comparable to the ~1–2 GeV accuracy usually attributed to the SM-like Higgs mass in such codes, so a modest shift is not cosmetic.","agreement_with_reader":"disagree"},"referee_report":{"model":"selfhosted/deepseek-v4.1-flash","summary":"The manuscript reports a scan of GUT-scale NMSSM parameter space (semi-unified m0, m1/2, A0 with NUHM relaxation of the Higgs/singlet soft masses and general A_lambda, A_kappa) using NMSSMTools 3.2.0, restricted to lambda >= 0.1, and identifies parameter points for which both lightest CP-even states h1 and h2 fall in the 123-128 GeV window. After imposing LEP/LHC Higgs and SUSY mass limits, B-physics constraints, Omega h^2 < 0.136 (with a WMAP-window subset flagged), and the XENON100 spin-independent bound, the authors define per-state signal strengths R^gg(X) and R^VBF(X) relative to a SM Higgs (Eqs. 1-2), combine the two states into a rate-weighted effective mass (Eq. 3) and a summed rate (Eq. 4), and show that R^gg(gamma gamma) and R^gg(VV) can substantially exceed unity, that the two are correlated approximately as R(gamma gamma) ~ 1.25 R(VV), and that an enhanced W*->Wh(->bb) rate can coexist with an enhanced gamma gamma rate. The paper further argues that the resulting diphoton and four-lepton mass peaks would be broader than the ~1.5 GeV experimental resolution, and notes that no point in the scan reproduces the measured muon g-2 anomaly.","tokens_in":10810,"tokens_out":4596,"duration_ms":94734,"significance":"If the existence claim holds, the 125 GeV signal need not be a single state, and the standard practice of fitting a single narrow Breit-Wigner to the diphoton and four-lepton peaks would be mis-specified. The paper's most useful product is not the existence statement itself, which is a scan-based possibility argument, but the correlation R^gg(gamma gamma) ~ 1.25 R^gg(VV) and the anti-correlation between the gluon-fusion gamma gamma rate and the WW-fusion bb rate, both of which are falsifiable with the then-available and near-future LHC/Tevatron data. The scan is checked against external benchmarks (LEP and LHC mass limits, B-physics observables, relic density, XENON100) rather than against the paper's own output, and the parameter ranges and constraint set are stated explicitly enough that the exercise is in principle reproducible. The main weakness of the significance case is that the result is coextensive with a recently added capability of a single spectrum code in a region at the edge of perturbativity, and the paper supplies no independent cross-check and no benchmark points.","major_comments":[{"comment":"The entire existence claim rests on both m_h1 and m_h2 landing inside a 5 GeV window, 123-128 GeV, yet the manuscript quotes no theoretical uncertainty on the NMSSM Higgs masses computed by NMHDECAY. In the large-lambda, low-mu_eff region where the interesting points live, the singlet-sector and stop-sector radiative corrections to the CP-even mass matrix are exactly where missing higher-order terms are largest, and a 1-2 GeV shift is the relevant scale. The authors should state an estimated theory error on m_h1 and m_h2 and demonstrate robustness, for example by reporting how many of the plotted points survive if the window is shifted by +/-1.5 GeV or widened to 121-130 GeV, and whether the subset with R^gg(gamma gamma) > 1.5 is stable under such a shift. Without this, the central claim is stated at a precision the calculation does not obviously support.","section":"Sec. 2, scan definition and Figs. 1-2","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The authors state that NMSSMTools 3.2.0 'has improved convergence of RGEs in the case of large Yukawa couplings and thus allows us to explore parameter regions that were left uncharted in [5]', and the WMAP-window points sit at lambda in [0.58, 0.65] with 'no Landau pole' required up to the GUT scale. The result is therefore coextensive with one code's recently added large-lambda capability, applied near the perturbativity limit, and no independent check is presented. A concrete test is requested: take two or three of the highest-R^gg(gamma gamma) points and re-run the RGE evolution and the Higgs mass calculation with an independent implementation, or at minimum vary the matching scale and the RGE loop order within NMSSMTools and report the induced shift in m_h1, m_h2 and R^gg(gamma gamma). If the points migrate out of the window under such variations, the existence claim is not established.","section":"Sec. 2, NMSSMTools 3.2.0 and the large-lambda region","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The manuscript lists the scanned parameter ranges but says nothing about how the scan was performed: the number of points, the sampling algorithm (random, Markov chain, grid), or the density in the region of interest. This matters because several of the paper's conclusions are negative existence statements whose strength is set by scan coverage, specifically 'we did not find points where the gamma gamma and bb final states both receive substantial contributions from both the h1 and h2' and 'it is not possible to find scenarios of this degenerate/enhanced type while predicting a value of delta a_mu consistent with that needed to explain the current discrepancy'. The authors should report the scan size and method, and soften or quantify the negative claims accordingly.","section":"Sec. 2, scan procedure","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"No benchmark parameter point is given anywhere in the paper. For a letter whose central claim is the existence of a class of scenarios, at least two or three complete parameter sets (m0, m1/2, A0, lambda, kappa, A_lambda, A_kappa, tan beta, mu_eff, and the NUHM Higgs/singlet soft masses at the GUT scale) with the resulting m_h1, m_h2, the individual R^gg and R^VBF values, and Omega h^2 would make the result checkable by an independent group and would let a reader verify the claimed correlation R^gg(gamma gamma) ~ 1.25 R^gg(VV). As written, the figures cannot be reproduced from the text.","section":"Figs. 1-8 and Sec. 2","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The abstract states that 'broadened mass peaks are natural', but the paper's own resolution estimate is sigma_res ~ 1.5 GeV and the text states that for m_h2 - m_h1 <= 2 GeV the two signals 'will not be seen separately'. The red bin in the text legend is m_h2 - m_h1 <= 1 GeV, i.e. below the resolution, so for that population no broadening would be observable. The authors should quantify what fraction of the plotted points, and in particular what fraction of the WMAP-window points, have m_h2 - m_h1 greater than about 1.5 GeV, and restate the abstract claim in terms of that fraction. As it stands the abstract's third sentence is stronger than the distribution in Fig. 1 supports.","section":"Abstract; Sec. 2, resolution discussion and Fig. 1 color coding","authors_acknowledge":null,"authors_acknowledge_p":null}],"minor_comments":[{"comment":"The text justifies the incoherent sum of rates only by reference to the degree of degeneracy and the experimental resolution. A single added sentence noting that the interference term is suppressed by the overlap of the two Breit-Wigner propagators, of order Gamma_h/Delta m_h ~ 4 MeV/1 GeV, would close the question of coherence between the two CP-even amplitudes and preempt a natural objection.","section":"Eqs. (3)-(4) and accompanying text","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The in-figure legend for Fig. 1 lists six bins in m_h2 - m_h1, whereas the text legend and the captions of Figs. 2-8 use three colors (red, blue, green). The caption of Fig. 1 should state explicitly which scheme applies to that figure.","section":"Fig. 1 caption and legend","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The constraint list writes 'BR(Bs -> mu+ mu-)' and later 'BR(B -> mu+ mu-) < 4.5 x 10^-9'; the second should presumably read BR(Bs -> mu+ mu-) for consistency with the first and with the quoted numerical bound.","section":"Sec. 2, B-physics constraints","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The definition 'a_mu = (g - 2)_mu/2' is written with the subscript attached to the wrong factor; it should read a_mu = (g - 2)_mu/2 with the muon subscript on g.","section":"Sec. 2, muon g-2 definition","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The phrase 'with a singling component of the order of 20%' should read 'singlino component'.","section":"Sec. 2, paragraph on LSP properties","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The clause 'parameter regions that where left uncharted in [5]' should read 'that were left uncharted in [5]'.","section":"Sec. 2, opening paragraph","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The phrase 'very favorable in point of view of finetuning' should read 'very favorable from the point of view of fine-tuning'.","section":"Sec. 2, paragraph on fine-tuning","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The horizontal axis of Fig. 2 is labelled m_h without saying that it is the rate-weighted effective mass of Eq. (3); the caption should state this and note that the effective mass differs slightly between the gamma gamma and VV channels, as Fig. 4 shows.","section":"Fig. 2 and Eq. (3)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The footnote gives the range of resolutions quoted in the cited CMS paper and then states that more recent analyses have achieved substantially better resolution 'but details are not yet available'. Since the broadening claim depends directly on sigma_res, it would help to state what value of sigma_res would make the h1/h2 peaks separable for the typical Delta m in the scan.","section":"Footnote 1","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The statement that the enhancement in W h with h -> bb is 'not as large as the best fit value suggested by the new Tevatron analysis [4]' would be more useful with the maximum R^VBF(bb) value achieved in the scan quoted explicitly in the text rather than left to Fig. 2.","section":"Sec. 2, Tevatron W+Higgs discussion","authors_acknowledge":null,"authors_acknowledge_p":null}],"recommendation":"major_revision","confidential_remarks":"The paper is a reasonable and timely scan-based letter, and the interference objection that a reader might raise against Eqs. (3)-(4) is quantitatively negligible given Gamma_h ~ 4 MeV against Delta m_h >~ 0.1 GeV, so I would not let that stand in the way. The genuine issue is that the existence claim lives in a 5 GeV window and in a large-lambda region opened by one code version, with no theory error on the Higgs masses and no benchmark points; those are fixable within the manuscript's scope and I would be glad to see a revised version."},"author_rebuttal":null,"desk_editor":{"model":"selfhosted/deepseek-v4.1-flash","letter":"Worth your time if you care how the 125 GeV signal gets interpreted in the NMSSM. The claim is narrow and defensible: in GUT-scale NMSSM scans with λ ≥ 0.1, there is a region where both h1 and h2 sit in 123–128 GeV, and their summed diphoton and VV rates can exceed the SM. The practical consequence is the good part — if this is what nature did, the mγγ and m4ℓ peaks should be broader than the detector resolution, and the apparent mass in the two channels can differ slightly. That is a real, if statistics-hungry, handle, and they say so plainly rather than overselling it. They also report the muon g-2 shortfall honestly: δaμ tops out around 2×10⁻¹⁰, nowhere near the window, and the WMAP-window points with large R(γγ) are below 6×10⁻¹¹. No hiding there. The R^gg(γγ) ≈ 1.25 R^gg(VV) correlation is a genuine prediction you could test against coupling fits. The scan machinery is standard and the external constraints (LEP, B physics, relic density, XENON100) are applied properly. One thing to get out of the way: the worry about coherent vs incoherent summation in Eqs. (3)–(4) is not a real problem. The h_i widths are ~4 MeV, the mass splittings plotted are ≥ 0.1 GeV, so the interference cross term is suppressed by Γ/Δm at the 10⁻²–10⁻³ level. The incoherent sum is right, and the relative sign of the couplings is irrelevant. The actual soft spot is upstream. The entire existence claim sits in the large-λ region (WMAP-window points have λ ∈ [0.58, 0.65]) that the authors themselves say was uncharted in their earlier paper because of RGE convergence, and which NMSSMTools 3.2.0 now opens. The result is coextensive with one code's recently added capability, applied near the perturbativity limit, and the window is only 5 GeV wide against a code mass accuracy usually quoted at 1–2 GeV. A modest shift moves points out. Second, smaller: no point tables or scan code shipped, so the figures can't be regenerated. Third: the diamond (WMAP-window) points are few, so those specific claims rest on a handful of parameter choices. None of this breaks the qualitative conclusion, which is properly hedged as 'possible'. Send it out. It's a legitimate extension of a serious program, and a referee should press on the RGE convergence robustness and ask for the point tables.","headline":"An honest, competent NMSSM scan showing two light CP-even states can share the 123–128 GeV window; the physics is fine, the soft spot is that the whole result lives at the edge of one code's large-λ capability.","tokens_in":11515,"tokens_out":1155,"would_cite":true,"duration_ms":24030,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"pith_extraction":{"msc":[],"pacs":["12.60.Jv","14.80.Da","95.35.+d"],"model":"selfhosted/deepseek-v4.1-flash","headline":"In GUT-scale NMSSM models with a large superpotential coupling lambda, the two lightest CP-even Higgs bosons can both sit in the 123–128 GeV window, so the single observed 125 GeV resonance could be two overlapping states whose diphoton and","keywords":["NMSSM","Higgs bosons","supersymmetry phenomenology","diphoton rate","GUT-scale unification","dark matter relic density","lightest supersymmetric particle"],"falsifier":"A high-statistics measurement of the diphoton and four-lepton mass peaks near 125 GeV: if the peak widths are consistent with the detector resolution alone and the masses extracted in the two channels agree, the two-degenerate-scalar explanation loses its distinctive signature. A direct search ruling out an additional CP-even scalar in the 123–128 GeV range would settle it outright.","tokens_in":11714,"feed_emoji":"⚛️","tokens_out":3163,"duration_ms":63883,"temperature":0.7,"pith_summary":"The paper asks whether the resonance reported near 125 GeV has to be one particle. Working in the next-to-minimal supersymmetric standard model with parameters unified at the grand-unification scale and the superpotential coupling $lambda$ allowed to be large ($lambda >= 0.1$), the authors scan parameter space with NMSSMTools and find many points where both lightest CP-even scalars, $h_1$ and $h_2$, land between 123 and 128 GeV. In those points the gluon-fusion rates into $gamma gamma$ and into $VV$ can exceed the Standard Model value, sometimes because one scalar carries the whole rate and sometimes because the two rates are comparable and add. The practical signature is a mass peak broader than the detector resolution, and an apparent mass in $gamma gamma$ that need not match the apparent mass in the four-lepton channel. If this is right, the LHC's single bump is a superposition, and searches that assume one narrow state are measuring the wrong object.","feed_headline":"The 125 GeV signal could be two Higgs bosons, not one","feed_subtitle":"In a GUT-scale supersymmetric model with a large lambda, two nearly degenerate scalars can share the diphoton rate and widen the peak.","key_machinery":"The machinery is a signal-combination prescription applied to a constrained parameter scan. For each scalar the authors define $R^{gg}_{h_i}(X) = Gamma(gg -> h_i) BR(h_i -> X) / Gamma(gg -> h_{SM}) BR(h_{SM} -> X)$ and the analogous $R^{VBF}_{h_i}(X)$ for weak-boson fusion, computed self-consistently with the same radiative corrections for the Standard Model reference. They then define a rate-weighted effective mass $m_h^Y(X) = (R_{h_1}^Y(X) m_{h_1} + R_{h_2}^Y(X) m_{h_2}) / (R_{h_1}^Y(X) + R_{h_2}^Y(X))$ and a net signal $R_h^Y(X) = R_{h_1}^Y(X) + R_{h_2}^Y(X)$, which is what lets a pair of individually sub-Standard-Model scalars masquerade as one enhanced resonance at the LHC's resolution of about 1.5 GeV.","core_discovery":"The central claim is that a degenerate pair of NMSSM Higgs bosons near 125 GeV is a natural outcome of GUT-scale semi-unified parameters once $lambda$ is large, and that such a pair can reproduce or overshoot the observed diphoton and $ZZ^* -> 4 ell$ rates. The authors scan $0 <= m_0 <= 3000$, $100 <= m_{1/2} <= 3000$, $1 <= tan beta <= 40$, $0.1 <= lambda <= 0.7$, $0.05 <= kappa <= 0.5$ and the soft $A$ terms, keep only points passing RGE convergence, Landau-pole, LSP, Higgs and SUSY mass, B-physics, relic-density ($Omega h^2 < 0.136$) and XENON100 constraints, and then require $123 < m_{h_1}, m_{h_2} < 128$ GeV. A large fraction of surviving points give $R^{gg}_{h_1}(gamma gamma) + R^{gg}_{h_2}(gamma gamma) > 1$, with the largest values at $lambda ~ 0.6$, moderate $kappa$, $tan beta < 5$ and $mu_eff < 150$ GeV. The paper also reports that no point of this kind can reach the muon anomalous magnetic moment window, that the relic-density window points have a dominantly higgsino LSP of 60–80 GeV with about a 20% singlino admixture, and that the largest diphoton enhancements come with $a_2$, $h_3$ and $H^pm$ below roughly 500 GeV and $a_1$ below roughly 150 GeV.","pith_inferences":["The combination rule adds rates rather than amplitudes. Two CP-even states with the same quantum numbers a few GeV apart contribute coherently to $gg -> h -> gamma gamma$ before squaring, so the true peak height and effective mass could shift in either direction from the quoted incoherent sum; a full amplitude-level treatment would be the natural next calculation.","Because the two states need not be exactly degenerate, a measured offset between the diphoton and four-lepton peak positions would be a channel-independent discriminator between this scenario and any single-state explanation of the 125 GeV signal.","The quoted spin-independent cross sections down to a few times $10^{-11}$ pb sit near the reach of the direct-detection bounds the paper already applies, so a modest improvement in exposure would either find this higgsino-singlino LSP or close the relic-density window for these points.","The failure to reach the muon $g-2$ window cuts both ways: if improved measurements confirm the discrepancy, this degenerate large-$lambda$ corner becomes disfavoured regardless of what the LHC sees at 125 GeV."],"forward_implications":["If the diphoton rate near 125 GeV is around 1.5 times the Standard Model value, this framework forces the gluon-fusion $VV$ rate to be at least about 1.2, since the two are correlated roughly as $R^{gg}(gamma gamma) ~ 1.25 R^{gg}(VV)$.","The $gamma gamma$ and $4 ell$ mass peaks should be broader than the experimental resolution, and the apparent mass extracted in the two channels can differ by a fraction of a GeV.","Points in the relic-density window have a light higgsino-dominated LSP around 60–80 GeV with spin-independent proton cross sections spanning roughly $10^{-11}$ to $10^{-9}$ pb.","The same scenarios cannot supply the muon anomalous magnetic moment: the largest $delta a_mu$ found is about $1.8 times 10^{-10}$, and the relic-density points with large diphoton rates fall below $6 times 10^{-11}$.","Large diphoton enhancements come with a compressed heavy-Higgs spectrum, with $a_2$, $h_3$ and $H^pm$ near or below 500 GeV and $a_1$ near or below 150 GeV, all with small diphoton rates of their own."],"supporting_citations":[{"why":"Supplies the ATLAS and CMS 125 GeV signal and the diphoton and four-lepton rate ratios the paper is trying to reproduce.","marker":"[1]"},{"why":"The authors' earlier constrained-NMSSM scan, which found enhanced diphoton rates hard to achieve and which this paper extends to larger lambda.","marker":"[5]"},{"why":"Provides the GUT-scale NMSSM parameter ranges and the large-lambda region that the present scan expands.","marker":"[6]"},{"why":"First showed that a large lambda can enhance the diphoton rate in the NMSSM with weak-scale parameters.","marker":"[7]"},{"why":"NMSSMTools/NMHDECAY is the code used for the Higgs masses, couplings, branching ratios and the constraint checks.","marker":"[8]"},{"why":"Supplies the neutralino-mass-dependent XENON100 bound imposed on the spin-independent LSP-proton cross section.","marker":"[11]"},{"why":"Supplies the roughly 1.5 GeV mass resolution used to decide when the two Higgs signals merge into one peak.","marker":"[12]"}],"fun_headline_variants":["Two Higgs bosons could share the 125 GeV peak","A degenerate NMSSM pair near 125 GeV, not one scalar","Large lambda makes two 125 GeV Higgs bosons natural","Two NMSSM scalars could widen the diphoton peak","Doubled diphoton rate from two Higgs bosons near 125 GeV"],"cache_read_input_tokens":0,"weakest_assumption_plain":"The load-bearing premise is that the two Higgs signals can simply be added as rates with a rate-weighted average mass; the paper does not treat the quantum interference between two CP-even states of the same quantum numbers, which would change both the summed rate and the apparent peak position.","fun_headline_variants_meta":{"raw":{"variants":["Two Higgs bosons could share the 125 GeV peak","A degenerate NMSSM pair near 125 GeV, not one scalar","Large lambda makes two 125 GeV Higgs bosons natural","Two NMSSM scalars could widen the diphoton peak","Doubled diphoton rate from two Higgs bosons near 125 GeV"]},"model":"selfhosted/deepseek-v4.1-flash","effort":"low","attempts":1,"cost_usd":0.0,"raw_usage":{"total_tokens":1020,"prompt_tokens":943,"completion_tokens":77,"prompt_tokens_details":null,"completion_tokens_details":{"reasoning_tokens":0}},"tokens_in":943,"tokens_out":77,"duration_ms":1792,"image_pages":[],"temperature":1.0,"reasoning_budget":50,"reasoning_tokens":null,"transport_provider":"selfhosted","cache_read_input_tokens":0,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-11-10T14:11:48.021855+00:00","model_set":{"reader":"selfhosted/deepseek-v4.1-flash"},"falsifier":"A high-statistics measurement of the diphoton and four-lepton mass peaks near 125 GeV: if the peak widths are consistent with the detector resolution alone and the masses extracted in the two channels agree, the two-degenerate-scalar explanation loses its distinctive signature. A direct search ruling out an additional CP-even scalar in the 123–128 GeV range would settle it outright.","supporting_citations":[{"cited_title":"Latest update in the search for the Higgs boson","cited_arxiv_id":null,"evidence_quote":"Supplies the ATLAS and CMS 125 GeV signal and the diphoton and four-lepton rate ratios the paper is trying to reproduce."},{"cited_title":"The constrained NMSSM and Higgs near 125 GeV","cited_arxiv_id":"1201.0982","evidence_quote":"The authors' earlier constrained-NMSSM scan, which found enhanced diphoton rates hard to achieve and which this paper extends to larger lambda."},{"cited_title":"Higgs bosons near 125 GeV in the NMSSM with constraints at the GUT scale","cited_arxiv_id":"1203.5048","evidence_quote":"Provides the GUT-scale NMSSM parameter ranges and the large-lambda region that the present scan expands."},{"cited_title":"A Higgs boson near 125 GeV with enhanced di-photon signal in the NMSSM","cited_arxiv_id":"1112.3548","evidence_quote":"First showed that a large lambda can enhance the diphoton rate in the NMSSM with weak-scale parameters."},{"cited_title":"NMHDECAY: A Fortran Code for the Higgs Masses, Couplings and Decay Widths in the NMSSM","cited_arxiv_id":"hep-ph/0406215","evidence_quote":"NMSSMTools/NMHDECAY is the code used for the Higgs masses, couplings, branching ratios and the constraint checks."},{"cited_title":"Dark Matter Results from 100 Live Days of XENON100 Data","cited_arxiv_id":"1104.2549","evidence_quote":"Supplies the neutralino-mass-dependent XENON100 bound imposed on the spin-independent LSP-proton cross section."},{"cited_title":"Search for the standard model Higgs boson decaying into two photons in pp collisions at sqrt(s)=7 TeV","cited_arxiv_id":"1202.1487","evidence_quote":"Supplies the roughly 1.5 GeV mass resolution used to decide when the two Higgs signals merge into one peak."}],"review_version":1}