REVIEW
Heavy Higgs Searches and Constraints on Two Higgs Doublet Models
High Energy Physics - Phenomenology · Submitted 7 May 2013 · 43 references
Pith's verdict: A solid, useful 2HDM constraint map whose 200 GeV headline survives scrutiny, but the 300 GeV contours lean on a Standard-Model-width limit that the paper never propagates.
T0 · AI review
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Referee report
The paper
The paper claims
The LHC's failure to find a second heavy Higgs can close off regions of two-Higgs-doublet parameter space that the 125 GeV Higgs measurements alone leave open, cutting the surviving Type I area by more than half at a 200 GeV mass.
The reading
What carries the argument
Two pieces of machinery carry the argument. The first is the pair of coupling tables: every 2HDM coupling of $h^0$ and $H^0$ to fermions and vector bosons is a fixed trigonometric function of $alpha$ and $beta$, with the vector-boson couplings proportional to $sin(beta - alpha)$ for the light state and $cos(beta - alpha)$ for the heavy one, so a single pair of numbers controls all production and decay rates. The second is a $chi^2$ fit of the predicted signal strengths to the measured ones across the $gamma gamma$, $WW$, $ZZ$, $b bbar$ and $tau tau$ channels, with asymmetric errors averaged in quadrature; the 95% confidence contour in the $(cos(beta - alpha), tan beta)$ plane is what the figures show. For the heavy-Higgs part, the $H^0 to h^0 h^0$ width enters through the trilinear coupling $lambda_{Hhh}$, which is proportional to $cos(beta - alpha)$ times a ratio of mixing angles, so in the limit $cos(beta - alpha) to 0$ both the vector-boson and the $h^0 h^0$ channels vanish and $H^0 to b bbar$ dominates, producing the visible dip near the origin of the plots.
Extended reading notes
Core claim
The central claim is that non-observation of a Standard-Model-like Higgs boson in the 200 to 400 GeV range is not merely a null result about one particle but a constraint on the whole two-Higgs-doublet parameter space, and that it is complementary to, not redundant with, the constraints from the 125 GeV state. The mechanism is straightforward: in these models the heavy CP-even scalar $H^0$ is produced mainly by gluon fusion, with a rate set by its top and bottom Yukawa couplings, so the published upper bound on $sigma(gg to H) times$ branching ratio to vector bosons translates into an allowed band in the $(cos(beta - alpha), tan beta)$ plane. The authors overlay those bands on the regions already allowed by the light-Higgs fit and report that the overlap is smaller. For Type I at $M_{H^0} = 200$ GeV the allowed region is reduced by more than a factor of two; for Type II the additional exclusion sits mostly at small $tan beta$. At 300 GeV the opening of the $H^0 to h^0 h^0$ channel shrinks the gain, and at 400 GeV only a small low-$tan beta$ sliver is added.
Load-bearing premise
The CMS upper limit on a heavy Higgs was derived assuming the Standard Model total width and Standard Model production and decay kinematics, and the paper applies it directly to the 2HDM heavy state even though at large $tan beta$ in Type II the enhanced bottom Yukawa can make that state much wider than the Standard Model Higgs, which would spread the signal and weaken the bound.
Editorial extensions
If this is right
- If the argument holds, the high-luminosity LHC can exclude a large fraction of the Type I 2HDM parameter space with $M_{H^0}$ near 200 GeV without ever observing the heavy state, purely from its absence.
- The exclusion power grows with integrated luminosity in a predictable way, since the authors scale the experimental errors as $1/sqrt{L}$ and quote contours for 300 and 3000 fb$^{-1}$.
- For Type II and flipped models the extra exclusion concentrates at small $tan beta$, complementing the large-$tan beta$ region already closed by the enhanced bottom Yukawa in the 125 GeV fit and by $B$-physics constraints.
- Above roughly 250 GeV the new $H^0 to h^0 h^0$ channel suppresses the vector-boson branching ratio, so the heavy-Higgs constraint weakens with increasing mass and the strongest reach is at the low end of the considered range.
- Because the $Hhh$ coupling depends on the soft $Z_2$-breaking parameter through $x = 2 mu^2 / (M_{H^0}^2 + 2 M_{h^0}^2)$, the excluded region is not fixed: turning on $x$ reshapes the contours, as the authors show for $x = 0, 0.25, 0.5$ in the Type I case.
Reading between the lines
- The same reweighting logic extends to any channel where the heavy scalar decays to a measured final state; a dedicated $H^0 to tau tau$ or $H^0 to ZZ$ search reweighted by the coupling tables would tighten the large-$tan beta$ corner that the inclusive vector-boson bound constrains least well.
- The paper's projection method assumes systematic errors improve with luminosity; if they instead plateau, the 3000 fb$^{-1}$ contours here should be read as an optimistic ceiling rather than a forecast, which matters for anyone using these plots to plan a search programme.
- A 2HDM point that survives both the light-Higgs fit and the heavy-Higgs bound is a natural target for a direct width measurement: if the heavy state exists with an enhanced bottom Yukawa, its width would be visibly broader than the Standard Model value, which is precisely the regime where the quoted exclusion is least reliable.
- The complementarity the authors demonstrate suggests the two fits should eventually be performed jointly rather than overlaid, since a single likelihood combining the 125 GeV signal strengths and the heavy-Higgs null searches would give contours that neither data set can produce alone.
Original abstract
Since the discovery of a Higgs boson at the LHC and the measurement of many of its branching ratios, there have been numerous studies exploring the restrictions these results place on the parameter space of two Higgs doublet models. We extend these results to include the full data set and study the expected sensitivity that can be obtained with 300 and 3000 inverse femptobarn of integrated luminosity. We consider searches for a heavy Standard Model Higgs boson, with a mass ranging from 200 to 400 GeV, and show that the non-observation of such a Higgs boson can substantially narrow the allowed regions of parameter space in two Higgs doublet models.
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.
The abstract, sentence by sentence
Since the discovery of a Higgs boson at the LHC and the measurement of many of its branching ratios, there have been numerous studies exploring the restrictions these results place on the parameter space of two Higgs doublet models. We extend these results to include the full data set and study the expected sensitivity that can be obtained with 300 and 3000 inverse femptobarn of integrated luminosity. We consider searches for a heavy Standard Model Higgs boson, with a mass ranging from 200 to 400 GeV, and show that the non-observation of such a Higgs boson can substantially narrow the allowed regions of parameter space in two Higgs doublet models.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Since the discovery of a Higgs boson at the LHC and the measurement of many of its branching ratios, there have been numerous studies exploring the restrictions these results place on the parameter space of two Higgs doublet models. | background 1.00 | 0.04 | 0.04 | asserted 0.97 |
| s1 | We extend these results to include the full data set and study the expected sensitivity that can be obtained with 300 and 3000 inverse femptobarn of integrated luminosity. | contribution 0.89 | 0.88 | 0.06 | asserted 0.83 |
| s2 | We consider searches for a heavy Standard Model Higgs boson, with a mass ranging from 200 to 400 GeV, and show that the non-observation of such a Higgs boson can substantially narrow the allowed regions of parameter space in two Higgs doublet models. | result 0.73 | 0.90 | 0.83 | asserted 0.92 |
What was examined, and what was not
- arXiv listing abstract v3
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- relations to other papers
- P abstract
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Figures
Figures reproduced from arXiv:1305.1624 by the authors.
References
How later papers used it
58 later papers cite it
1 paper by the same authors is listed below: 1 used its method or tool.
Uses its method or tool 1 of 2 papers with this label · 1 by the same authors
By the same authors
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Followed the same procedure as this paper to estimate the future reach of the LHC.
LHC Constraints on the Lee-Wick Higgs Sector (2014) (same authors) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
58 arXiv papers cite this in 78 sentences
Papers citing it · 34 sentences without a confident label
Uses its method or tool 2 papers
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Using the recent measurements of the signal strengths of the light Higgs we perform a $χ^2$ fit by following the same procedure as described in Refs. [ref] .
The Next-to-Minimal Two Higgs Doublet Model · Analysis · 1.00
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To estimate the future reach of the LHC, we follow the same procedure as in Ref. [ref] .
LHC Constraints on the Lee-Wick Higgs Sector · Bounds · 1.00
Uses its data or values 2 papers
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The 2HDM predictions for $M_W$ and $sin^2θ^lept_eff$ depend on the $Z$ boson mass $M_Z=91.1876 (21)$ GeV [ref] , the top quark mass, $m_t = 173.2 (0.9)$ GeV [ref] , the strong coupling constant $α_s(M_Z)=0.1185 (6)$ [ref] , the variation of the fine-structure constant due to light quarks, $Δα^(5)_had(M^2_Z) = 0.02763 (14)$ [ref] , the masses of the neutral Higgs bosons $M_h=126$ GeV, $M_H$ and $M_A$, the charged Higgs mass $M_H^±$, and the combination $(β-α)$ of the mixing angles in the scalar sector, which we will set to $π/2$ to be consistent with the LHC results on Higgs boson searches [ref] .
Limiting two-Higgs-doublet models · Electroweak constraints · 1.00
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Current limits on $sin(β-α)$ from Type-I models [ref] are rather weak, corresponding to $sin(β-α) > 0.85$.
The Electron/Muon Specific Two Higgs Doublet Model at e+ e- Colliders · Constraints from LEP-200 · 0.83
Compares with it 2 papers
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For the CP conserving case $(α_b = 0)$, we found that the bounds are very similar to those studied in Refs. [ref] .
Complementarity of LHC and EDMs for Exploring Higgs CP Violation · Limits from Heavy Higgs Searches in the Models with no $Z_2$ Symmetry · 0.98
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The current LHC exclusion regions and the projections to 300 and 3000 agree with those of Ref. [ref] .
Scrutinizing h(125) in Two Higgs Doublet Models at the LHC, ILC, and Muon Collider · Two Higgs Doublet Models · 1.00
Cites it as support 3 papers
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In fact, the measured signal strengths and production cross section of such a particle are in very good agreement with the corresponding SM predictions [ref] .
Limiting two-Higgs-doublet models · Introduction · 0.96
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The recent global fits of the LHC data in the 2HDM context [ref] certifies that alignment is indeed a reasonable assumption.
Search for a 'stable alignment limit' in two Higgs-doublet models · The scalar potential · 1.00
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In view of the recent global fits for 2HDMs using the LHC Higgs data, alignment is a reasonable assumption [ref] .
New limits on $\mathbf{\tan\beta}$ for 2HDMs with $\mathbf{Z_2}$ symmetry · The scalar potential · 0.99
Cites it as background 32 papers
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A simple extension of the scalar sector of the SM is to add another doublet: this gives rise to the well known 2HDM, which has been thoroughly studied with respect to the LHC (with a lighter scalar in [ref] , and a heavier one in [ref] ).
Searching for a lighter Higgs: parametrisation and sample tests · Two Higgs Doublet Model · 0.97
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Many papers [ref] examined various channels in the four 2HDMs in light of the experimental findings at the LHC and ILC.
Projections for Two Higgs Doublet Models at the LHC and ILC: A Snowmass White Paper · Introduction · 0.96
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Recent 2HDM efforts [ref] have thus focused on the extent to which deviations from the SM are still possible and the implications for possibly observing such deviations and/or the other Higgs bosons in future LHC running.
Extending two-Higgs-doublet models by a singlet scalar field - the Case for Dark Matter · Fitting the 8 TeV LHC Higgs Signal in the 2HDM · 0.95
What it cites · 10 sentences without a confident label
Builds on 1 paper
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In Section II, we update previous studies [ref] for all four 2HDMs to include the full data set and highlight the significant effect of the latest CMS result on $h→γγ$ on the global fit.
Exploring Two Higgs Doublet Models Through Higgs Production · Introduction · 0.93
Uses data or values from 1 paper
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We use the $95%$ confidence level band from recent CMS bounds (from Figure 11 in Ref. [ref] ) and scale predictions as the inverse square root of the integrated luminosity.
Search for a standard-model-like Higgs boson with a mass in the range 145 to 1000 GeV at the LHC · Constraints from Heavy Higgs Searches · 1.00
Compares with 1 paper
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Similar bounds for the Type-I and Type -II models have been obtained in Ref. [ref] .
Searching for Signs of the Second Higgs Doublet · LHC Reach from $h^0$ Measurements · 0.98
Cites as background 18 papers
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Some of the simplest extensions of the scalar sector are the two Higgs doublet models (2HDMs) [ref] .
Theory and phenomenology of two-Higgs-doublet models · Introduction · 1.00
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Subsequently, many papers [ref] examined various channels in the four 2HDMs in light of the experimental findings at the LHC.
Probing the charged Higgs boson at the LHC in the CP-violating type-II 2HDM · Introduction · 0.85
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Subsequently, many papers [ref] examined various channels in the four 2HDMs in light of the experimental findings at the LHC.
Exclusive Signals of an Extended Higgs Sector · Introduction · 0.85
Discussion
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