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Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal

High Energy Physics - Phenomenology · Submitted 14 May 2014 · 44 references

Pith's verdict: A solid, comprehensive post-LHC8 2HDM status paper whose feed-down bookkeeping is the durable contribution; the per-channel 95% cuts make the boundary claims looser than they read.

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arXiv ID1405.3584 (version 2)
Pith IDR55QWAFQ, Pith's permanent record of this paper and its review
CitationBeranger Dumont, John F. Gunion, Sabine Kraml, Yun Jiang. "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal." arXiv:1405.3584 (2014). https://pith.science/paper/R55QWAFQ
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Referee report
The paper

The paper claims

The 125.5 GeV Higgs can be either the lighter or the heavier CP-even state of a two-Higgs-doublet model, and the paper maps what that leaves for the other Higgs bosons.

The reading

The paper asks a concrete question: if the 125.5 GeV particle seen at the LHC is one of the two CP-even Higgs bosons of a Two-Higgs-Doublet Model (2HDM) of Type I or Type II, how much of each model's parameter space is still alive, and what should the next LHC run look for? The authors scan the full parameter set, discard points that fail precision electroweak, stability, unitarity, perturbativity, $B$-physics and LEP constraints, then discard points that conflict with LHC8 searches for heavier Higgs bosons, and finally keep only points whose predicted signal strengths fall inside the 95% C.L. regions for $gg$F+$tth$ versus VBF+$Vh$ in the $gg$, $ZZ/WW$, $b$-$b$ and $tau$-$tau$ final states. They treat both identifications of the observed state, the lighter $h$ and the heavier $H$, and they carefully account for the possibility that decays of heavier Higgs bosons feed extra events into the 125.5 GeV signal. The payoff is a status report plus a forecast: in most of the surviving space the other Higgs bosons should be visible at the 14 TeV LHC, but there are corners of Type I where nothing beyond the 125.5 GeV state would be found.

What carries the argument

The argument runs on a two-dimensional signal-strength plane: for each final state $Y = gamma gamma, VV, bbar b, tau tau$ the experimental 68% C.L. contours in $(mu_{ggF+ttH}, mu_{VBF+VH})$ are digitized and refit as a bivariate Gaussian with fitted widths, correlation and best-fit point, so that a scan point is kept only if each $chi^2_Y$ stays below 6.18. Feeding this are the 2HDMC spectrum calculator with the physical-basis inputs $(m_h, m_H, m_A, m_{H^pm}, taneta, alpha, m_{12})$, and a separate feed-down bookkeeping: the net branching ratios $P_{FD}$ for chains such as $H to hh$, $A to Zh$, $H to AA$, $H to H^+H^-$ with $H^pm to W^pm h$ are computed and a point is called FDOK only if the induced contamination is below 10% in $gg$F+$bbh$ and below 30% in $Zh$. Perturbativity ($|lambda_i| < 4pi$) does much of the actual shaping of the allowed regions, and the nondecoupling limit $v^2 g_{HH^+H^-} operatorname{sgn}(C_H^V)/m_{H^pm}^2 to -2$ is what fixes the 5% floor on $C_H^gamma$.

Extended reading notes

Core claim

Both Type I and Type II 2HDMs remain consistent with the full 7+8 TeV Higgs data set at 95% C.L. whether the 125.5 GeV state is the lighter CP-even Higgs $h$ or the heavier one $H$, but the two identifications leave very different room for the rest of the spectrum. For $m_h = 125.5$ GeV the vector coupling $C_h^V$ must be close to $+1$ and $C_h^U$ close to $+1$, while Type II also admits a second branch with large positive $cos(eta-alpha)$ at $taneta < 7$ in which the down-type Yukawa has the opposite sign to the SM, $C_h^D approx -1$. For $m_H = 125.5$ GeV there is no decoupling limit at all: perturbativity of the quartic couplings, especially $lambda_{HHAA}$, caps $m_A$ and $m_{H^pm}$ at roughly 600-800 GeV, so the extra states must be reachable or excluded. The sharpest claim is that in the Type II version of the $m_H = 125.5$ GeV scenario the charged-Higgs loop in the $Hgamma gamma$ coupling does not decouple and suppresses it by at least 5%, so a future measurement confirming SM-like diphoton and $ZZ$ rates at the 5% level would eliminate that scenario outright; the same precision would also remove the wrong-sign Yukawa branch and, in Type II, the $m_H = 125.5$ GeV case entirely.

Load-bearing premise

Every 95% C.L. statement in the paper rests on refitting each experimental contour in the signal-strength plane as a symmetric bivariate Gaussian from a digitized plot, so any non-Gaussianity or coarseness in that reconstruction propagates directly into which parameter points survive.

Editorial extensions

If this is right

  • At $sqrt{s}=14$ TeV the surviving points give $[sigma(gg to H) + sigma(bbH)] BR(H to ZZ)$ up to about 1 pb near $m_H approx 150$ GeV, and $H,A to tau tau$ rates up to several pb, so the heavier neutral states are discoverable over much of the space.
  • If the 125.5 GeV rates converge to within $pm 5%$ of the SM, the Type II $m_H = 125.5$ GeV scenario and the Type II wrong-sign Yukawa branch are both eliminated, and the Type I $m_H = 125.5$ GeV case survives only on the $sin alpha < 0$ branch with $mu_{gg}(gamma gamma) gtrsim 0.95$.
  • The triple-Higgs coupling is a diagnostic: in Type II even $pm 15%$ agreement with the SM forces $C_{hhh}$ (or $C_{HHH}$) below 1, while in Type I $C_{hhh}$ as small as 0.3 survives $pm 5%$, which is within reach of a 3 TeV $e^+e^-$ collider.
  • Points with $m_A$ below about 100 GeV survive all LEP and LHC8 limits because the $ZAh$ coupling scales as $cos(eta-alpha)$ and is tiny, yet they can still have sizable $gg to A$ and $bbA$ cross sections, so existing 8 TeV data can still probe them.
  • In Type I with $m_H = 125.5$ GeV, $m_A$ between 200 and 300 GeV and large $taneta$ leaves the $A$ and $h$ essentially undetectable even with 3000 fb$^{-1}$, whereas in Type II the $A$ should be seen in $tau tau$ or $tbar t$.
  • The $gg to A to Zh$ contamination of the $Zh$ channel can mimic a violation of custodial symmetry when $C_Z$ and $C_W$ are extracted separately from $Zh$ and $Wh$ production, which may be a more sensitive probe of feed down than the direct $A to Zh$ search.

Reading between the lines

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

  • If the Gaussian reconstruction of the experimental contours distorts the true likelihoods, the boundary claims move first: the survival of the wrong-sign Yukawa branch and the exact precision at which the $m_H = 125.5$ GeV Type II scenario dies are the most fragile numbers in the paper.
  • The FDOK thresholds are deliberately conservative in one direction only: the authors compute feed down without applying any experimental acceptance reduction, so the true contamination is likely smaller and the FD-excluded mass windows near $m_H, m_A approx 200$-$350$ GeV may be less empty than the plots suggest.
  • A natural extension the paper does not pursue is to fold the same machinery into a global fit that includes the $tbar t H$ and $H to mu mu$ channels, which the authors themselves note are simple rescaling of the $tau tau$ rates and could tighten the low-$taneta$ region.
  • Because the $m_H = 125.5$ GeV case has no decoupling limit, a null search for $A$ and $H^pm$ up to roughly 600-800 GeV would be a clean kill of that entire identification, independent of the details of the Higgs coupling fits.
Original abstract

We analyze the Two-Higgs-Doublet Models (2HDMs) of Type I and II for consistency with the latest measurements of the ~125.5 GeV Higgs-like signal at the LHC. To this end, we perform scans of the 2HDM parameter space taking into account all relevant pre-LHC constraints as well as the most recent limits coming from searches for heavy Higgs-like states at the LHC. The current status of the 2HDMs of Type I and II is discussed assuming that the observed 125.5 GeV state is one of the two CP-even Higgs bosons, either the lighter h or the heavier H. Implications for future experiments, including expectations regarding other lighter or heavier Higgs bosons are given. The possible importance of heavier Higgs bosons feeding the signals for the 125.5 GeV state is also evaluated.

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, 4,375 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.18 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.26 · compares with prior results 0.18 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We analyze the Two-Higgs-Doublet Models (2HDMs) of Type I and II for consistency with the latest measurements of the ~125.5 GeV Higgs-like signal at the LHC. To this end, we perform scans of the 2HDM parameter space taking into account all relevant pre-LHC constraints as well as the most recent limits coming from searches for heavy Higgs-like states at the LHC. The current status of the 2HDMs of Type I and II is discussed assuming that the observed 125.5 GeV state is one of the two CP-even Higgs bosons, either the lighter h or the heavier H. Implications for future experiments, including expectations regarding other lighter or heavier Higgs bosons are given. The possible importance of heavier Higgs bosons feeding the signals for the 125.5 GeV state is also evaluated.

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 Two-Higgs-Doublet Models (2HDMs) of Type I and II for consistency with the latest measurements of the ~125.5 GeV Higgs-like signal at the LHC. contribution 0.99 0.86 0.06 asserted 0.86
s1 To this end, we perform scans of the 2HDM parameter space taking into account all relevant pre-LHC constraints as well as the most recent limits coming from searches for heavy Higgs-like states at the LHC. method 0.99 0.94 0.03 asserted 0.97
s2 The current status of the 2HDMs of Type I and II is discussed assuming that the observed 125.5 GeV state is one of the two CP-even Higgs bosons, either the lighter h or the heavier H. contribution 0.56 0.44 0.11 asserted 0.57
s3 Implications for future experiments, including expectations regarding other lighter or heavier Higgs bosons are given. future work 0.71 0.75 0.09 asserted 0.82
s4 The possible importance of heavier Higgs bosons feeding the signals for the 125.5 GeV state is also evaluated. contribution 0.82 0.83 0.08 hedged possibility 0.93

What kind of paper the classifier reports this is: simulation study 0.80 · evidence from analysis of existing data 0.74.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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: Values for the quartic coupling
Figure 2. FIG. 2: Constraints in the cos(
Figure 4. FIG. 4: Constraints in the
Figure 5. FIG. 5: Correlations of signal strengths for the
Figure 6. FIG. 6: Cross sections (in pb) for
Figure 7. FIG. 7: The postLHC8-FDOK points in the cos(
Figure 8. FIG. 8: The postLHC8-FDOK points in the
Figure 9. FIG. 9: The postLHC8-FDOK points in the
Figure 10. FIG. 10: We plot [
Figure 11. FIG. 11: Scatter plots of [
Figure 12. FIG. 12: Same information as in Fig. 11 but in the tan
Figure 13. FIG. 13: Scatterplots of [
Figure 14. FIG. 14: Scatter plots of [
Figure 15. FIG. 15: We plot
Figure 16. FIG. 16: We plot [
Figure 17. FIG. 17: Scatterplots of
Figure 18. FIG. 18: Constraints in the planes cos(
Figure 19. FIG. 19: Constraints on the 2HDM of Type I and Type II in the sin(
Figure 20. FIG. 20: Scatterplots of
Figure 21. FIG. 21: We plot
Figure 22. FIG. 22: Constraints in the
Figure 23. FIG. 23: We plot
Figure 24. FIG. 24: We display points in the sgn(
Figure 27. FIG. 27: Rates (in pb) of pseudoscalar
Figure 28. FIG. 28: We plot [
Figure 29. FIG. 29: We plot [
Figure 30. FIG. 30: For Type II 2HDM, we plot
Figure 31. FIG. 31: For Type I 2HDM, we plot: Left,
Figure 32. FIG. 32: We plot

Showing 29 of the paper's 32 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:1405.3584 by the authors.

References
How later papers used it

69 later papers cite it

Evidence: substantial. 56 of the citing papers share no author with it, and 7 of those carry a confident label from Pith's citation classifier.

Pith read 19 of the 122 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

Builds on it 2 papers · 1 by the same authors

By the same authors

Uses its data or values 1 of 3 papers with this label · 1 by the same authors

By the same authors

How the literature uses it

69 arXiv papers cite this in 122 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 · 71 sentences without a confident label

Builds on it 2 papers
Uses its method or tool 3 papers
Uses its data or values 3 papers
Compares with it 2 papers
Cites it as support 3 papers
Cites it as background 28 papers

What it cites · 21 sentences without a confident label

Contests 1 paper
  • The formulas for the various $P_H,2H$ and $P_H,1H$'s cases can be found in [ref] which we will repeat in the following context (including some corrections we found).

    Are There Hidden Scalars in LHC Higgs Results? · Generic formalism for feed down processes · contest 0.79

Uses the method or tool of 2 papers
Uses data or values from 3 papers
Compares with 1 paper
Cites as background 21 papers
  • A large number of papers [ref] performed fits of current data for the 125.5 GeV Higgs-like state (as per the status post Moriond 2013) within the context of 2HDMs, and investigated the consequent phenomenology of the other Higgs states present in the models.

    Status of the aligned two-Higgs-doublet model confronted with the Higgs data · Introduction · 0.87

  • A large number of papers [ref] performed fits of current data for the 125.5 GeV Higgs-like state (as per the status post Moriond 2013) within the context of 2HDMs, and investigated the consequent phenomenology of the other Higgs states present in the models.

    CPV Phenomenology of Flavor Conserving Two Higgs Doublet Models · Introduction · 0.87

  • A large number of papers [ref] performed fits of current data for the 125.5 GeV Higgs-like state (as per the status post Moriond 2013) within the context of 2HDMs, and investigated the consequent phenomenology of the other Higgs states present in the models.

    Carving Out Parameter Space in Type-II Two Higgs Doublets Model · Introduction · 0.87

Discussion

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