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Impact of LHC Higgs couplings measurements on bosonic decays of the neutral Higgs sector in the scNMSSM

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Marwa Telba, Maien Binjonaid

High Energy Physics - Phenomenology · Submitted 27 Sep 2020 · 54 references

Pith's verdict: A competent, honestly caveated random scan of the natural scNMSSM whose central rule-out—light h2/a1 must be singlet-dominated—is plausible but only as strong as the scan coverage.

T0 · AI review

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arXiv ID2009.12970 (version 3)
Pith ID2FP66GGG, Pith's permanent record of this paper and its review
CitationMaien Binjonaid, Marwa Telba. "Impact of LHC Higgs couplings measurements on bosonic decays of the neutral Higgs sector in the scNMSSM." arXiv:2009.12970 (2020). https://pith.science/paper/2FP66GGG
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The paper

The paper claims

In the semi-constrained NMSSM, LHC measurements of the SM-like Higgs couplings leave only singlet-dominated $h_2$ and $a_1$ states below about 400 GeV.

The reading

The paper asks how recent LHC measurements of the Standard Model Higgs couplings reshape the neutral Higgs sector of the semi-constrained Next-to-Minimal Supersymmetric Standard Model (scNMSSM), a supersymmetric extension in which an extra singlet field solves the $\mu$ problem and reduces fine-tuning. Scanning up to one hundred million parameter points in the natural large-$\lambda$, small-$\tan\beta$ region, the authors find that the lightest CP-even scalar $h_1$ is always the SM-like Higgs, while the second CP-even scalar $h_2$ and the lightest CP-odd scalar $a_1$ pass the LHC coupling constraints below about 400 GeV only when they are almost pure singlets. The practical consequence: if the paper is right, any light non-SM Higgs states in this model are nearly invisible to the standard Higgs search channels, and future discovery would rely on singlet-enhanced decays such as diphotons. This matters because it maps where natural supersymmetry can still hide at the LHC.

What carries the argument

The argument runs on the reduced couplings $C_i$, defined as the ratio of a given neutral Higgs coupling to the corresponding Standard Model value, together with the squared singlet and doublet components of the mass eigenstates $h_1$, $h_2$, $a_1$. A public numerical code computes the spectrum from GUT-scale inputs (common scalar and gaugino masses $m_0$, $m_{1/2}$, trilinears $A_0$, $A_\lambda$, $A_\kappa$, and low-scale $\lambda$, $\kappa$, $\tan\beta$, $\mu_{\mathrm{eff}}$), applies seventy-five types of theoretical and experimental constraints, and separates points that pass all constraints from those that violate individual LHC Higgs-coupling limits. The 'natural' regime is the large-$\lambda$ (up to 0.7) and small-$\tan\beta$ (1--10) region where the tree-level SM-like Higgs mass is maximized and fine-tuning minimized; in that regime the singlet field, which solves the $\mu$ problem, also controls the viability of the light non-SM states.

Extended reading notes

Core claim

Within the scanned parameter space of the scNMSSM with $A_0\neq A_\lambda\neq A_\kappa$, the SM-like Higgs is the lightest CP-even state $h_1$, with mass in the 122--128 GeV window and reduced couplings near unity. For the other two light neutral states, the paper finds that LHC constraints on the SM-like Higgs couplings to top quarks, gauge bosons, gluons, and photons, and on the SM Higgs decay to non-SM particles, sharply carve out the low-mass region: $h_2$ with $m_{h_2}<300$ GeV must have singlet fraction above 0.85 and couplings bounded by $|C_U|\le 0.3$, $C_g\le 0.3$, $C_\gamma\le 0.5$, $|C_V|\le 0.3$, with reduced cross-section to vector bosons below 0.1, and $a_1$ with $m_{a_1}<400$ GeV is always singlet-dominated, with the most restrictive exclusion coming from $|C_D|>0.5$. The authors conclude that natural scNMSSM survives current LHC data only if the light non-SM-like scalars are mostly singlet, and that the strongest constraints come from the limits on the CP-odd decay channels $h\to aa\to 4\ell/2\ell+2b$, on $C_t(h_{\mathrm{SM}})$, and on $B_{\mathrm{BSM}}(h_{\mathrm{SM}})$.

Load-bearing premise

The load-bearing premise is that randomly scanning up to $10^8$ points over the chosen parameter ranges adequately samples the semi-constrained NMSSM, so the absence of allowed non-singlet $h_2$ and $a_1$ states below roughly 400 GeV reflects the model itself rather than a gap in the scan; the paper explicitly flags this uncertainty when noting that the absence of SM-like $h_2$ points could be due to the limitations of random scanning.

Editorial extensions

If this is right

  • The SM-like Higgs in the natural scNMSSM region is always $h_1$; scenarios where $h_2$ is the 125 GeV Higgs are outside this scan's parameter range, so they cannot be combined with the large-$\lambda$, low-$\tan\beta$ naturalness motivation.
  • For $m_{h_2}<300$ GeV, any surviving point must be at least 85% singlet and respect the bounds $|C_U|\le 0.3$, $C_g\le 0.3$, $C_\gamma\le 0.5$, $|C_V|\le 0.3$, and $R(gg\to h_2\to VV)\le 0.1$.
  • For $m_{a_1}<400$ GeV, $a_1$ is always singlet-dominated, with the region $|C_D|>0.5$ and $m_{a_1}<600$ GeV most strongly excluded by the combination of $C_\gamma(h_{\mathrm{SM}})$ and $B_{\mathrm{BSM}}(h_{\mathrm{SM}})$ constraints.
  • Singlet-dominated $h_2$ and $a_1$ pairs can still produce large diphoton branching fractions at low mass, so $R(gg\to a_1\to\gamma\gamma)$ remains a viable discovery channel, peaking near 250 at $m_{a_1}\approx 630$ GeV.
  • Tighter future LHC measurements of SM Higgs couplings will continue to shrink the allowed region around $m_{h_2}<300$ GeV and $m_{a_1}<400$ GeV, further pushing surviving light scalars toward the pure-singlet limit.

Reading between the lines

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

  • A more exhaustive scan technique (for example, Markov-chain Monte Carlo or a grid over the same ranges) would test whether the singlet-only conclusion below 400 GeV is robust or an artifact of random sampling; if isolated non-singlet survivors appear, the sharp exclusion boundary would need to be softened.
  • The same coupling-constraint logic applies more broadly: in SUSY models without a singlet, like the MSSM, no such escape hatch exists, so the paper's result indirectly widens the pressure on light doublet-like extra scalars in natural supersymmetry generally.
  • The paper's surviving region could be probed by targeted LHC searches for $h_2\to a_1a_1$ and $a_1\to\gamma\gamma$ or $Z\gamma$ final states, since those channels are enhanced precisely where the scalars are singlet-dominated.
  • If a future measurement finds a light $a_1$ with a sizeable $Zh_1$ decay, it would exceed the scan's maximal $Br(a_1\to Zh_1)\sim 0.1$ and point to parameter regions this scan did not cover.
Original abstract

We analyze the Next-to-minimal supersymmetric standard model with Grand unification boundary conditions under current theoretical and experimental constraints. We compute the mass spectrum of the model and focus on the three lightest particles in the Higgs sector (two CP-even scalars, $h_1, h_2$, and one CP-odd, $a_1$). The reduced couplings of such particles, singlet-doublet components, their branching ratios to bosons, and reduced cross-section to photons and massive gauge bosons via gluon fusion are thoroughly and systematically scrutinized. Our analysis is focused on the parameter space where the singlet-doublet coupling $\lambda$ is as large as possible (keeping the perturbativity bound intact) and the ratio between the vacuum expectation values of the up-type and down-type Higgses ($\tan{\beta}$) is as small as possible, which is the region representing the most natural case of the NMSSM. We show the impact of recent constraints from the LHC on the SM-Higgs couplings to bosons and fermions on the parameter space of the model and the consequent implications on the Higgs sector. The results show that while the model is still able to account for current data and provide an opportunity for discovery of extended Higgs sectors, recent LHC Higgs couplings constraints rule-out parts of the parameter space where $h_2$ (non-SM-like) and $a_1$ are non-singlet with masses below ~400 GeV.

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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,323 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.56 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We analyze the Next-to-minimal supersymmetric standard model with Grand unification boundary conditions under current theoretical and experimental constraints. We compute the mass spectrum of the model and focus on the three lightest particles in the Higgs sector (two CP-even scalars, $h_1, h_2$, and one CP-odd, $a_1$). The reduced couplings of such particles, singlet-doublet components, their branching ratios to bosons, and reduced cross-section to photons and massive gauge bosons via gluon fusion are thoroughly and systematically scrutinized. Our analysis is focused on the parameter space where the singlet-doublet coupling $\lambda$ is as large as possible (keeping the perturbativity bound intact) and the ratio between the vacuum expectation values of the up-type and down-type Higgses ($\tan{\beta}$) is as small as possible, which is the region representing the most natural case of the NMSSM. We show the impact of recent constraints from the LHC on the SM-Higgs couplings to bosons and fermions on the parameter space of the model and the consequent implications on the Higgs sector. The results show that while the model is still able to account for current data and provide an opportunity for discovery of extended Higgs sectors, recent LHC Higgs couplings constraints rule-out parts of the parameter space where $h_2$ (non-SM-like) and $a_1$ are non-singlet with masses below ~400 GeV.

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 analyze the Next-to-minimal supersymmetric standard model with Grand unification boundary conditions under current theoretical and experimental constraints. contribution 0.47 0.85 0.02 asserted 0.87
s1 We compute the mass spectrum of the model and focus on the three lightest particles in the Higgs sector (two CP-even scalars, $h_1, h_2$, and one CP-odd, $a_1$). contribution 0.58 0.95 0.02 asserted 0.96
s2 The reduced couplings of such particles, singlet-doublet components, their branching ratios to bosons, and reduced cross-section to photons and massive gauge bosons via gluon fusion are thoroughly and systematically scrutinized. contribution 0.76 0.92 0.03 asserted 0.95
s3 Our analysis is focused on the parameter space where the singlet-doublet coupling $\lambda$ is as large as possible (keeping the perturbativity bound intact) and the ratio between the vacuum expectation values of the up-type and down-type Higgses ($\tan{\beta}$) is as small as possible, which is the region representing the most natural case of the NMSSM. method 0.91 0.41 0.03 asserted 0.98
s4 We show the impact of recent constraints from the LHC on the SM-Higgs couplings to bosons and fermions on the parameter space of the model and the consequent implications on the Higgs sector. contribution 0.84 0.80 0.08 asserted 0.94
s5 The results show that while the model is still able to account for current data and provide an opportunity for discovery of extended Higgs sectors, recent LHC Higgs couplings constraints rule-out parts of the parameter space where $h_2$ (non-SM-like) and $a_1$ are non-singlet with masses below ~400 GeV. result 0.96 0.94 0.92 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.62 · evidence from simulation or computation 0.69.

What was examined, and what was not

sources read
  • arXiv listing abstract v3
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. Reduced couplings of h1 (left panels), h2 (middle panels) and a1 (right panels) to up-type and down-type fermions, glouns, photons and gauge bosons, respectively for A0 6= Aλ 6= Aκ. coupling of the SM Higgs to photons in the denominator is calculated for a SM Higgs mass of around 600 GeV, and there the value of the coupling drops sharply due to cancellations between loop contributions (for more details see Ref.53). The ruled-out points are randomly scattered in the a1 data. However, a clear region that has been
Figure 2. Singlet and Doublet components of the lightest CP-even Higgs boson
Figure 3. The branching ratios of h1 → WW , h1 → ZZ, h1 → γγ, h1 → Zγ and h1 → a1a1 plotted aginest the lightest CP-even Higgs mass mh1 for A0 6= Aλ 6= Aκ. as well as h1 → aa → 4l/2l + 2b. Indeed these two limits have the most impact on the parameter space. The top row of
Figure 4. The branching ratios of h2 → WW, h2 → ZZ, h2 → γγ, h2 → Zγ, h2 → h1h1, h2 → Za1 and h2 → a1a1 plotted aginest the next to lightest CP-even Higgs mass mh2 for A0 6= Aλ 6= Aκ. h → aa → 4l/2l + 2b, and h → aa → γγ. 5. Discussion and Conclusion The results in Sec. 4 show that the NMSSM with semi-constrained GUT boundary conditions can account for theoretical and experimental constraints. It is known that
Figure 5. The branching ratios of a1 → γγ, a1 → Zγ, and a1 → Zh1 plotted aginest the lightest CP-odd Higgs mass ma1 for A0 6= Aλ 6= Aκ. the NMSSM can admit either h1 or h2 (the lightest or second to lightest CP-even Higgs) as the SM-like Higgs. However, we observe that under the considered ranges for input parameters (mentioned in Sec. 3) and the imposed constraints, the SM-like Higgs boson turned out to be the lightest CP-even Higgs (h1). Indeed, expanding the range of parameters may well result in regions where h2 is the SM-like. However, our choices for the scanned ranges were motivated by…
Figure 6. Reduced cross-section into γγ and WW/ZZ versus the lightest CP-even Higgs mass Mh1 (upper panels), the next to lightest CP-even Higgs mass Mh2 (middle panels) and the lightest CP-odd Higgs mass Ma1 (lower panels) with A0 6= Aλ6= Aκ. parameter space are associated with violations of LHC constraints on the SM-like Higgs couplings to bosons and fermions. This suggests that h2 should be mostly singlet for the model to be viable within the discussed regime. On the other hand, the results show that a1 is also mostly singlet for regions where its mass is below 400 GeV. For such a range of m

Figures reproduced from arXiv:2009.12970 by the authors.

References
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What this paper does with the arXiv papers it cites

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

What it cites · 16 sentences without a confident label

Uses the method or tool of 4 papers
Cites as support 8 papers
Cites as background 19 papers

Discussion

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