REVIEW
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.
T0 · AI review
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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
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
- 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.
The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 was examined, and what was not
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- P abstract
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Figures
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
1 later paper by other authors is listed below: 1 built on it. 2 more papers by the same authors are listed: 1 built on it and 1 used its data or values.
Builds on it 2 papers · 1 by the same authors
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Considered more extended constraints than this paper, particularly those from LHC heavy Higgs searches, to address how much current data constrain the Higgs potential in the hidden light Higgs scenario.
Higgs potential and hidden light Higgs scenario in two Higgs doublet models (2015) · 1.00 · paraphrased: the licence does not allow quoting
By the same authors
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Revisited this paper's analysis to ask what new or updated signal strength results for the ~125.5 GeV Higgs boson imply in the 2HDM context.
Addendum to "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal" (2014) (same authors) · 0.84 · paraphrased: the licence does not allow quoting
Uses its data or values 1 of 3 papers with this label · 1 by the same authors
By the same authors
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Randomly chose 1250 points for further analysis from the ~5200 points this paper's 2HDM analysis found consistent with Higgs observations at 68% C.L. for m_h ~ 125.5.
Extending two-Higgs-doublet models by a singlet scalar field - the Case for Dark Matter (2014) (same authors) · 0.98 · paraphrased: the licence does not allow quoting
How the literature uses it
69 arXiv papers cite this in 122 sentences
Papers citing it · 71 sentences without a confident label
Builds on it 2 papers
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In the present note, we now revisit the analysis of [ref] and ask what are the implications in the 2HDM context of all these new (or updated) results on the signal strengths of the $∼125.5$ Higgs boson.
Addendum to "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal" · Introduction · 0.84
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To answer the question, we consider more extended constraints than in Ref. [ref] , particularly those from the LHC heavy Higgs searches.
Higgs potential and hidden light Higgs scenario in two Higgs doublet models · Introduction · 1.00
Uses its method or tool 3 papers
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These include: requiring consistency with “preLHC" constraints; an accurate fit to the combined ATLAS and CMS Higgs signal data when the $h$ is identified with the $∼125.5$ state; and enforcing LHC limits on the other Higgs bosons ($H$, $A$ and $$) of the 2HDM using the procedures of [ref] .
Extending two-Higgs-doublet models by a singlet scalar field - the Case for Dark Matter · Introduction · 0.96
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Regarding constraints from the Higgs signal strength measurements at $125$, for each of the observed Higgs decay modes ($γγ$, $WW^(*)$, $ZZ^(*)$, $bb̅$, $ττ̅$) we require agreement at the 95% CL with the ATLAS+CMS combined signal strength ellipse in the (ggF+ttH) and (VBF+VH) plane, as explained in [ref] .
Light Higgs bosons in Two-Higgs-Doublet Models · Introduction · 0.86
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A detailed describe of $Numh$ calculation can be found in [ref] [ref] .
The Heavy Higgs Decay Effect and Its Impact on Higgs Data Fitting in NMSSM · The Branching Ratios of Scalars · 0.89
Uses its data or values 3 papers
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In the case of $m_h∼125.5$, the 2HDM analysis of [ref] found $∼5200$ points consistent with Higgs observations at 68% C.L. in the model, from which we randomly chose 1250 points for further analysis.
Extending two-Higgs-doublet models by a singlet scalar field - the Case for Dark Matter · DM full mass scan · 0.98
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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
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For our numerical work, we employ the $=125$ or $=125$ parameter points of [ref] that described the LHC Higgs data at the (rather stringent) 68% CL, supplemented by the latest $b→s$ constraint of $480$ for the model [ref] .
Isospin-violating dark-matter-nucleon scattering via two-Higgs-doublet-model portals · The 2HDMS Dark-Matter Model · 0.92
Compares with it 2 papers
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Regarding the allowed ranges of $m_H$, $m_A$ and $m_H^±$, there is no visible change with respect to [ref] .
Addendum to "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal" · $∼125.5$ scenarios · 1.00
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While no statistical fit is performed, the surviving set of parameter points indicate that the SM alignment required by the LHC Higgs results impose an upper bound on the masses of $H^±$ and $A^0$ of $m_H^±, A^0 ≲600$ GeV, similar to what is found in [ref] .
Disfavouring Electroweak Baryogenesis and a hidden Higgs in a CP-violating Two-Higgs-Doublet Model · A closer look at the hidden-Higgs scenario · 0.90
Cites it as support 3 papers
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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 fact, it has recently been verified [ref] by fitting the 2HDM (type I and II) to available experimental data, that the model indeed allows for masses of extra scalars even within the $150-200$ GeV range, which is below the decoupling regime.
Measuring CP violation in Two-Higgs-Doublet models in light of the LHC Higgs data · The alignment limit · 0.97
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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 28 papers
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For notations and conventions, we also refer to [ref] .
Addendum to "Constraints on and future prospects for Two-Higgs-Doublet Models in light of the LHC Higgs signal" · Introduction · 0.89
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This is the wrong sign limit [ref] (see also [ref] for the CP-conserving 2HDM and [ref] for the complex 2HDM) and it is imposed only at tree-level.
Wrong sign and symmetric limits and non-decoupling in 2HDMs · The light Higgs scenario · 0.91
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This procedure results in four distinct types, some of which include a peculiar and interesting region of parameter space called the wrong-sign limit [ref] .
$pp\to A\to Zh$ and the wrong-sign limit of the Two-Higgs-Doublet Model · Introduction · 0.91
What it cites · 21 sentences without a confident label
Contests 1 paper
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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
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To combine the information provided by ATLAS, CMS and the Tevatron experiments on the $$, $ZZ^(*)$, $WW^(*)$, $bb̅$ and $ττ$ final states including the error correlations among the (VBF+VH) and (ggF+ttH) production modes, we follow the approach of [ref] .
Global fit to Higgs signal strengths and couplings and implications for extended Higgs sectors · Constraints from the signal strength measurements at 125.5 GeV · 1.00
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For this we closely follow the approach of [ref] .
Two-Higgs-Doublet Models and Enhanced Rates for a 125 GeV Higgs · Introduction · 1.00
Uses data or values from 3 papers
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In practice, we employ the signal strength likelihoods in the $$ versus $$ planes for each of the final states $Y$ as determined in [ref] , combining all publicly available information from ATLAS and CMS.[Combining VBF and VH is motivated in models where the couplings of the Higgs to $WW$ and to $ZZ$ are scaled equally, as is the case in any 2HDM because of custodial symmetry.
Global fit to Higgs signal strengths and couplings and implications for extended Higgs sectors · Introduction · 0.86
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The lower bounds from $B$ physics are shown as a function of $$ in Fig. 15 of [ref] in the case of the Type II model (roughly $m^*∼300$ in this case) and in Fig. 18 of [ref] in the case of the Type I model.
Theory and phenomenology of two-Higgs-doublet models · Scan ranges and procedures · 0.85
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For example, from [ref] we find that the predicted precision on $_hhh$ for ILC1000 with $L=500-1000$ of 21% and for ILC1000 with $L=1600-2500$ is of order 13%.
Higgs Working Group Report of the Snowmass 2013 Community Planning Study · Implications for the future · 0.98
Compares with 1 paper
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These results should be compared to the ggF limits obtained recently in [ref] , which are shown as black lines in the plots of Fig. [ref]; see also projections at the 14 TeV LHC in [ref] .
Exotic Decays Of A Heavy Neutral Higgs Through HZ/AZ Channel · Implications for the future · 1.00
Cites as background 21 papers
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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
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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
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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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