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The $R^2$-Higgs inflation with two Higgs doublets
High Energy Physics - Phenomenology · Submitted 5 Aug 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim By numerically solving the system of equations, we find that, in parameter space where a successful $R^2$-Higgs inflation are realized and consistent with low energy constraints, the inflationary dynamics can be effectively described by a single slow-roll formalism even though four fields are involved in the model.
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The abstract, sentence by sentence
We study $R^2$-Higgs inflation in a model with two Higgs doublets in which the Higgs sector of the Standard Model is extended by an additional Higgs doublet, thereby four scalar fields are involved in the inflationary evolutions. We first derive the set of equations required to follow the inflationary dynamics in this two Higgs doublet model, allowing a nonminimal coupling between the Higgs-squared and the Ricci scalar $R$, as well as the $R^2$ term in the covariant formalism. By numerically solving the system of equations, we find that, in parameter space where a successful $R^2$-Higgs inflation are realized and consistent with low energy constraints, the inflationary dynamics can be effectively described by a single slow-roll formalism even though four fields are involved in the model. We also argue that the parameter space favored by $R^2$-Higgs inflation requires nearly degenerate masses for $m_\mathsf{H}$, $m_A$ and $m_{\mathsf{H}^\pm}$, where $\mathsf{H}$, $A$, and $\mathsf{H}^\pm$ are the extra CP even, CP odd, and charged Higgs bosons in the general two Higgs doublet model taking renormalization group evolutions of the parameters into account. Discovery of such heavy scalars at the Large Hadron Collider (LHC) are possible if they are in the sub-TeV mass range. Indirect evidences may also emerge at the LHCb and Belle-II experiments, however, to probe the quasi degenerate mass spectra one would likely require high luminosity LHC or future lepton colliders such as the International Linear Collider and the Future Circular Collider.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study $R^2$-Higgs inflation in a model with two Higgs doublets in which the Higgs sector of the Standard Model is extended by an additional Higgs doublet, thereby four scalar fields are involved in the inflationary evolutions. | contribution 0.96 | 0.54 | 0.05 | asserted 0.98 |
| s1 | We first derive the set of equations required to follow the inflationary dynamics in this two Higgs doublet model, allowing a nonminimal coupling between the Higgs-squared and the Ricci scalar $R$, as well as the $R^2$ term in the covariant formalism. | method 0.91 | 0.95 | 0.04 | asserted 0.98 |
| s2 | By numerically solving the system of equations, we find that, in parameter space where a successful $R^2$-Higgs inflation are realized and consistent with low energy constraints, the inflationary dynamics can be effectively described by a single slow-roll formalism even though four fields are involved in the model. | result 0.99 | 0.97 | 0.65 | asserted 1.00 |
| s3 | We also argue that the parameter space favored by $R^2$-Higgs inflation requires nearly degenerate masses for $m_\mathsf{H}$, $m_A$ and $m_{\mathsf{H}^\pm}$, where $\mathsf{H}$, $A$, and $\mathsf{H}^\pm$ are the extra CP even, CP odd, and charged Higgs bosons in the general two Higgs doublet model taking renormalization group evolutions of the parameters into account. | result 0.85 | 0.79 | 0.22 | asserted 0.64 |
| s4 | Discovery of such heavy scalars at the Large Hadron Collider (LHC) are possible if they are in the sub-TeV mass range. | interpretation 0.88 | 0.22 | 0.07 | hedged possibility 0.98 |
| s5 | Indirect evidences may also emerge at the LHCb and Belle-II experiments, however, to probe the quasi degenerate mass spectra one would likely require high luminosity LHC or future lepton colliders such as the International Linear Collider and the Future Circular Collider. | interpretation 0.58 | 0.17 | 0.05 | hedged possibility 1.00 |
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The paper
Original abstract
We study $R^2$-Higgs inflation in a model with two Higgs doublets in which the Higgs sector of the Standard Model is extended by an additional Higgs doublet, thereby four scalar fields are involved in the inflationary evolutions. We first derive the set of equations required to follow the inflationary dynamics in this two Higgs doublet model, allowing a nonminimal coupling between the Higgs-squared and the Ricci scalar $R$, as well as the $R^2$ term in the covariant formalism. By numerically solving the system of equations, we find that, in parameter space where a successful $R^2$-Higgs inflation are realized and consistent with low energy constraints, the inflationary dynamics can be effectively described by a single slow-roll formalism even though four fields are involved in the model. We also argue that the parameter space favored by $R^2$-Higgs inflation requires nearly degenerate masses for $m_\mathsf{H}$, $m_A$ and $m_{\mathsf{H}^\pm}$, where $\mathsf{H}$, $A$, and $\mathsf{H}^\pm$ are the extra CP even, CP odd, and charged Higgs bosons in the general two Higgs doublet model taking renormalization group evolutions of the parameters into account. Discovery of such heavy scalars at the Large Hadron Collider (LHC) are possible if they are in the sub-TeV mass range. Indirect evidences may also emerge at the LHCb and Belle-II experiments, however, to probe the quasi degenerate mass spectra one would likely require high luminosity LHC or future lepton colliders such as the International Linear Collider and the Future Circular Collider.
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References
How the literature uses it
9 arXiv papers cite this in 10 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
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We now study the inflationary dynamics of our two-field scenario with the non-canonical kinetic term (i.e. with a nontrivial field-space manifold) following the covariant formalism discussed in Refs. [ref] (see also Refs. [ref] ).
Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection · Inflationary Dynamics in the Covariant Formalism · 0.98
Cites it as background 4 papers
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Among many inflationary models, Higgs inflation [ref] and its extensions [ref] gain immense interest as it incorporates the Standard Model scalar with a nonminimal coupling to gravity, and it provides the best fit to current cosmic microwave background (CMB) observations.
The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation · Introduction · 0.84
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There are a number of proposed mechanisms to enhance the primordial curvature perturbations during inflation, for instance, single-field inflation with a non-slow-roll stage [ref] , multi-field inflation [ref] , modify gravity [ref] , curvaton scenario [ref] , parametric resonance [ref] , etc.
Enhanced Curvature Perturbation and Primordial Black Hole Formation in Two-stage Inflation with a break · Introduction · 0.99
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See, e.g., Refs. [ref] for such works.
Nonminimally Assisted Inflation: A General Analysis · Model · 1.00
What it cites · 1 sentence without a confident label
Contests 1 paper
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The work here also remedies the shortcomings of Ref. [ref] where inflationary dynamics was also under scrutiny due to the unitarity violation by the required large nonminimal couplings $𝒪(10^4 - 6×10^4)$ as in the SM [ See also Refs. [ref] for discussions on inflation in the 2HDM.].
Inflation, electroweak phase transition, and Higgs searches at the LHC in the two-Higgs-doublet model · Introduction · contest 0.85
Uses data or values from 1 paper
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By including the BICEP/Keck 2018 data, the constraint became tighter as $r< 0.036$ [ref] .
2110.00483 · Background Dynamics and Power Spectrum · 0.98
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