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Could two NMSSM Higgs bosons be present near 125 GeV?

High Energy Physics - Phenomenology · Submitted 6 Jul 2012 · 12 references

Pith's verdict: 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.

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arXiv ID1207.1545 (version 1)
Pith IDZRMHBMHN, Pith's permanent record of this paper and its review
CitationJohn F. Gunion, Sabine Kraml, Yun Jiang. "Could two NMSSM Higgs bosons be present near 125 GeV?." arXiv:1207.1545 (2012). https://pith.science/paper/ZRMHBMHN
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Referee report
The paper

The paper claims

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

The reading

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.

What carries the argument

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.

Extended reading notes

Core claim

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.

Load-bearing premise

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.

Editorial extensions

If this is right

  • 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.

Reading between the lines

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

  • 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.
Original abstract

We examine GUT-scale NMSSM scenarios in which {\it both} $h_1$ and $h_2$ lie in the 123 -- 128 GeV mass range. Very substantially enhanced $\gamma\gamma$ and other rates are possible. Broadened mass peaks are natural.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,860 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.62 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We examine GUT-scale NMSSM scenarios in which {\it both} $h_1$ and $h_2$ lie in the 123 -- 128 GeV mass range. Very substantially enhanced $\gamma\gamma$ and other rates are possible. Broadened mass peaks are natural.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We examine GUT-scale NMSSM scenarios in which {\it both} $h_1$ and $h_2$ lie in the 123 -- 128 GeV mass range. contribution 0.99 0.73 0.14 asserted 0.71
s1 Very substantially enhanced $\gamma\gamma$ and other rates are possible. result 0.94 0.53 0.29 hedged possibility 1.00
s2 Broadened mass peaks are natural. result 0.69 0.44 0.12 asserted 0.74

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from argument 0.49.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. FIG. 1. Correlation of
Figure 3. FIG. 3. Left: correlation between the gluon fusion induced
Figure 4. FIG. 4. Left: effective Higgs masses obtained from different channels:
Figure 5. FIG. 5. Dependence of
Figure 6. FIG. 6. Average light-flavor squark mass,
Figure 8. FIG. 8. Top row: Ω

Showing 6 of the paper's 8 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:1207.1545 by the authors.

References
How later papers used it

65 later papers cite it

Evidence: substantial. 58 of the citing papers share no author with it, and 5 of those carry a confident label from Pith's citation classifier.

Pith read 19 of the 97 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 1 of 3 papers with this label
  • Combined the two Higgs boson productions and decays as this paper did to form one Higgs particle observed at the LHC for highly mass-degenerate light CP-even neutral Higgs bosons.

    Electroweak Supersymmetry (EWSUSY) in the NMSSM (2013) · 0.86 · paraphrased: the licence does not allow quoting

Uses its data or values 1 paper · 1 by the same authors

By the same authors

  • Illustrated its technique using the NMSSM scenarios generated for this paper, in which the two lightest CP-even Higgs bosons both lie in the 123-128 mass window.

    Diagnosing Degenerate Higgs Bosons at 125 GeV (2012) (same authors) · 0.87 · paraphrased: the licence does not allow quoting

How the literature uses it

65 arXiv papers cite this in 97 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 63 sentences without a confident label

Uses its method or tool 3 papers
  • We perform scans of the relevant parameter space [ref] of the model using the public program NMSSMCALC [ref] to search for all possible $∼125$ GeV Higgs boson scenarios, with the CPV phase of the coupling $κ$ set to five different values, including $0^∘$ - the rNMSSM limit - in each case.

    Two Higgs bosons near 125 GeV in the complex NMSSM and the LHC Run-I data · Introduction · 0.93

  • Specifically, we use points from scans performed using NMSSMTools 3.2.0 [ref] , which includes the scans of [ref] supplemented by additional runs following the same procedure as well as specialized MCMC chain runs designed to focus on parameter regions of particular interest.

    Higgs Bosons at 98 and 125 GeV at LEP and the LHC · Higgs Boson Production and Decay · 1.00

  • For the last case in which the two light CP-even neutral Higgs bosons are highly mass degenerate (say, $Δm <2$ GeV), we combine these two Higgs boson productions and decays as Ref. [ref] did to form one Higgs particle observed at the LHC.

    Electroweak Supersymmetry (EWSUSY) in the NMSSM · Setup · 0.86

Uses its data or values 1 paper
  • In Fig. [ref], we plot the numerator versus the denominator of the double ratios I) and II), III) being very like I) due to the correlation between the $$ and $$ values discussed in [ref] .

    Diagnosing Degenerate Higgs Bosons at 125 GeV · Introduction · 0.87

Compares with it 2 papers
  • This is in contrast to a two resonance case where one particle is dominant in both channels [ref] .

    A tale of two Higgs · Introduction · 0.83

  • Our collider phenomena with the nearly degenerate $(h^0, H^0)$ differs from [ref] substantially, due to the new gauge bosons and vector-like heavy fermions, as well as the absence of charged Higgs boson and superpartners in our model.

    LHC Higgs Signatures from Extended Electroweak Gauge Symmetry · Signatures of h$^0$ via Gluon Fusion · 0.99

Cites it as background 25 papers
  • In [ref] scenarios were investigated where the two lightest NMSSM Higgs bosons are closely spaced near 126 GeV, leading to very enhanced decay rates, and in [ref] scenarios with Higgs bosons both consistent with the LEP 98 GeV excess and the 126 GeV Higgs boson of the LHC search were studied, while [ref] discussed the case where the NMSSM Higgs sector could both explain the 126 GeV discovery and the small excess observed by CMS at 136 GeV.

    Natural NMSSM Higgs Bosons · Introduction · 0.93

  • This topic was discussed in [ref] in the context of the NMSSM, in [ref] in the context of a 2HDM, and most recently in [ref] where general conditions for detection of such resonances were derived (see also [ref] ).

    A tale of two Higgs · Introduction · 1.00

  • For a full discussion of the kind of NMSSM model employed see [ref] .

    Higgs Bosons at 98 and 125 GeV at LEP and the LHC · Higgs Boson Production and Decay · 0.88

What it cites · 6 sentences without a confident label

Builds on 1 paper
  • We perform scans covering the following parameter ranges, which correspond to an expanded version of those considered in [ref] : $0 ≤m_0 ≤3000$; $100 ≤m_1/2 ≤3000$; $1 ≤tanβ≤40$; $-6000 ≤A_0 ≤6000$; $0.1 ≤λ≤0.7$; $0.05 ≤κ≤0.5$; $-1000 ≤A_λ≤1000$; $-1000 ≤A_κ≤1000$; $100 ≤μ_eff ≤500$.

    Higgs bosons near 125 GeV in the NMSSM with constraints at the GUT scale · Introduction · 0.98

Uses the method or tool of 3 papers
Uses data or values from 2 papers

Discussion

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