REVIEW
A Minimal Spontaneously Broken Hidden Sector and its Impact on Higgs Boson Physics at the Large Hadron Collider
High Energy Physics - Phenomenology · Submitted 21 Sep 2005 · 12 references
Pith's verdict: The s1 rate/width/invisible relations and the A-Higgs benchmark are correct and worth citing; the s2 sector has real algebra errors that should be fixed but do not touch the main claim.
T0 · AI review
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Referee report
The paper
The paper claims
If the Standard Model Higgs mixes with a Higgs boson of a hidden sector, the lighter of the two mass eigenstates is predicted to appear in every standard detection channel at a rate below the Standard Model one, and it may decay mostly into
The reading
What carries the argument
The engine is the Higgs portal operator $η|H|^2|Φ|^2$, the only gauge-invariant renormalizable coupling between a Standard Model Higgs doublet and a hidden-sector Higgs that gets a vacuum expectation value. It generates an off-diagonal entry $η v ξ$ in the $2×2$ mass matrix of the real scalars, which is diagonalized by a mixing angle $ω$; the mass eigenstates $s_1$ and $s_2$ then share the Standard Model couplings in proportion to $c_ω^2$ and $s_ω^2$ while also inheriting decays into hidden states. Every observable in the paper follows from that single mixing angle plus the ratio $r = Γ_{hid}/Γ_{SM}$, which is why the whole phenomenology collapses onto the three-parameter description of Eq. 19 and, in the weak-mixing limit, onto the one-parameter A-Higgs benchmark.
Extended reading notes
Core claim
For the lighter mass eigenstate $s_1$, the ratio of any Higgs-mediated rate to the Standard Model rate is $R = (1- s_ω^2)^2 / [1 - (1-r) s_ω^2]$, where $s_ω^2$ is the mixing fraction and $r = Γ_{hid}/Γ_{SM}$. This ratio is never greater than one, so no state in the spectrum is produced as copiously as the Standard Model Higgs would be, and standard searches are strictly harder than the Standard Model case. The companion results are the total width, $Γ/Γ_{SM} = 1 - (1-r)s_ω^2$, which can be larger or smaller than the Standard Model width depending on $r$, and the invisible branching fraction, $B_{inv} = r s_ω^2/[1-(1-r)s_ω^2]$. The authors then take the limit $r → ∞$ with $s_ω^2 → 0$ at fixed $A = r s_ω^2$, in which the production cross-section returns to the Standard Model value while the standard-channel rate falls as $1/(1+A)$, the width grows as $1+A$, and the invisible fraction becomes $A/(1+A)$. This limit is named the A-Higgs model, has two free parameters (the light mass and $A$), and is offered as a benchmark for collider studies. A supersymmetric analogue follows when the hidden Higgs interacts with the MSSM Higgs doublets through a $U(1)_{hid}$ D-term, producing a $3×3$ mass matrix whose extra contribution can raise the lightest Higgs mass above the MSSM bound while leaving the same suppression and invisible-decay phenomenology.
Load-bearing premise
The paper treats the mixing fraction and the ratio of hidden to Standard Model widths as independent inputs, so the one-parameter A-Higgs benchmark requires sending the width ratio to infinity while the mixing goes to zero at fixed product; a concrete hidden sector ties both quantities to the same gauge and portal couplings, and the paper does not exhibit a model in which that correlated limit is actually realized.
Editorial extensions
If this is right
- Any Higgs search channel at the LHC must be reinterpreted with a signal strength below one; a hidden-sector mixed Higgs is never easier to find than the Standard Model one in the standard modes.
- The reconstructed mass peak can be narrower or broader than the Standard Model expectation depending on whether the hidden width ratio $r$ is below or above one, so peak width becomes a discriminating observable rather than a nuisance.
- A light Higgs in the mass range where the Standard Model width is accidentally small can be dominated by invisible decays after only modest mixing, making invisible-final-state searches the primary discovery mode.
- The A-Higgs model gives a two-parameter benchmark (light mass and $A$) with definite predictions: rate $1/(1+A)$, width $1+A$, invisible fraction $A/(1+A)$.
- In the supersymmetric D-term version, the additional $m_{Z'}^2 γ^2$ contribution to the lightest Higgs mass can lift it above the MSSM tree-level bound, easing the tension with the experimental mass limit.
Reading between the lines
- Because the suppression formula never exceeds unity, an observed excess over the Standard Model in any single standard channel would rule out pure $|H|^2|Φ|^2$ mixing as the explanation, which makes the prediction sharply falsifiable rather than merely adjustable.
- A fit that floats signal strengths and total width simultaneously could separate this scenario from a plain overall coupling reduction, since the two scenarios differ in how width and rate move together as mixing grows.
- If the lightest hidden-sector states are not stable but decay back into Standard Model particles inside the detector, the invisible branching fraction becomes a displaced or exotic visible signature, and the search strategy inverts.
- The same portal logic applies to any hidden sector whose Higgs gets a vacuum expectation value, so the suppression pattern is a generic target for global Higgs coupling fits rather than a model-specific curiosity.
Original abstract
Little experimental data bears on the question of whether there is a spontaneously broken hidden sector that has no Standard Model quantum numbers. Here we discuss the prospects of finding evidence for such a hidden sector through renormalizable interactions of the Standard Model Higgs boson with a Higgs boson of the hidden sector. We find that the lightest Higgs boson in this scenario has smaller rates in standard detection channels, and it can have a sizeable invisible final state branching fraction. Details of the hidden sector determine whether the overall width of the lightest state is smaller or larger than the Standard Model width. We compute observable rates, total widths and invisible decay branching fractions within the general framework. We also introduce the ``A-Higgs Model'', which corresponds to the limit of a hidden sector Higgs boson weakly mixing with the Standard Model Higgs boson. This model has only one free parameter in addition to the mass of the light Higgs state and it illustrates most of the generic phenomenology issues, thereby enabling it to be a good benchmark theory for collider searches. We end by presenting an analogous supersymmetry model with similar phenomenology, which involves hidden sector Higgs bosons interacting with MSSM Higgs bosons through D-terms.
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
Little experimental data bears on the question of whether there is a spontaneously broken hidden sector that has no Standard Model quantum numbers. Here we discuss the prospects of finding evidence for such a hidden sector through renormalizable interactions of the Standard Model Higgs boson with a Higgs boson of the hidden sector. We find that the lightest Higgs boson in this scenario has smaller rates in standard detection channels, and it can have a sizeable invisible final state branching fraction. Details of the hidden sector determine whether the overall width of the lightest state is smaller or larger than the Standard Model width. We compute observable rates, total widths and invisible decay branching fractions within the general framework. We also introduce the ``A-Higgs Model'', which corresponds to the limit of a hidden sector Higgs boson weakly mixing with the Standard Model Higgs boson. This model has only one free parameter in addition to the mass of the light Higgs state and it illustrates most of the generic phenomenology issues, thereby enabling it to be a good benchmark theory for collider searches. We end by presenting an analogous supersymmetry model with similar phenomenology, which involves hidden sector Higgs bosons interacting with MSSM Higgs bosons through D-terms.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Little experimental data bears on the question of whether there is a spontaneously broken hidden sector that has no Standard Model quantum numbers. | gap 0.83 | 0.05 | 0.02 | asserted 0.96 |
| s1 | Here we discuss the prospects of finding evidence for such a hidden sector through renormalizable interactions of the Standard Model Higgs boson with a Higgs boson of the hidden sector. | contribution 0.98 | 0.51 | 0.06 | hedged possibility 0.44 |
| s2 | We find that the lightest Higgs boson in this scenario has smaller rates in standard detection channels, and it can have a sizeable invisible final state branching fraction. | result 1.00 | 0.95 | 0.62 | asserted 0.91 |
| s3 | Details of the hidden sector determine whether the overall width of the lightest state is smaller or larger than the Standard Model width. | result 0.95 | 0.59 | 0.09 | asserted 0.61 |
| s4 | We compute observable rates, total widths and invisible decay branching fractions within the general framework. | contribution 0.86 | 0.96 | 0.08 | asserted 1.00 |
| s5 | We also introduce the ``A-Higgs Model'', which corresponds to the limit of a hidden sector Higgs boson weakly mixing with the Standard Model Higgs boson. | contribution 0.70 | 0.88 | 0.05 | asserted 1.00 |
| s6 | This model has only one free parameter in addition to the mass of the light Higgs state and it illustrates most of the generic phenomenology issues, thereby enabling it to be a good benchmark theory for collider searches. | contribution 0.51 | 0.79 | 0.10 | asserted 0.93 |
| s7 | We end by presenting an analogous supersymmetry model with similar phenomenology, which involves hidden sector Higgs bosons interacting with MSSM Higgs bosons through D-terms. | contribution 0.97 | 0.82 | 0.05 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
Figures
Figures reproduced from arXiv:hep-ph/0509209 by the authors.
References
How the literature uses it
128 arXiv papers cite this in 154 sentences
Papers citing it · 71 sentences without a confident label
Uses its method or tool 1 paper
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The hard process $pp→Z→A'h_D$, $h_D→A'A'$ was generated in MadGraph using the HAHM model [ref] with $ϵ=10^-2$, $κ=10^-10$, $m_h_D=50$ GeV, and 6 GeV $≤m_A'≤$ 24 GeV.
Limits on an Exotic Higgs Decay From a Recast ATLAS Four-Lepton Analysis · The ATLAS MC Study · 0.95
Compares with it 1 paper
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This result is analogous to the one obtained in the classically scale-invariant theory with a Higgs portal [ref] , where the EW symmetry breaking scale is induced radiatively by the Coleman-Weinberg mechanism, and the smallness of the Higgs VEV is explained naturally through the added Higgs portal.
Linking the Gauge Hierarchy with Neutrino Masses and Dark Matter via Two-step Cosmological Selection · Cosmological Selection Mechanism · 0.95
Cites it as background 75 papers
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We work in the context of the theory motivated and developed in Refs. [ref] .
Dark matter and Higgs boson collider implications of fermions in an abelian-gauged hidden sector · Introduction · 0.83
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[ref] and its recent revival in form of hidden sector theories [ref] .
Strong electroweak phase transitions without collider traces · The Model · 0.90
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This dark photon can subsequently decay to charged Standard Model fermions through mixing with the photon [ref] .
Searching for Long-lived Particles: A Compact Detector for Exotics at LHCb · Introduction · 0.95
Discussion
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