High Energy Physics - Phenomenology · arXiv:2105.01217 v1 · submitted 3 May 2021
Low-energy probes of small CMB amplitude in models of radiative Higgs mechanism
The paper says
“We show that the absence of new physics signals at TeV scale may prefer a more natural size of ξ ≲ 𝒪(1−100) with λφ ≲ 𝒪(10−4−10−8), constraining larger ξ with larger λφ more strongly.”
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Abstract
The small CMB amplitude As ≃ 10−9 (or, small temperature fluctuation δT/T ≃ 10−5) typically requires an unnaturally small effective coupling of an inflaton λφ ∼ 10−14. In successful models, there usually is extra suppression of the amplitude, e.g. by large-field inflaton with non-minimal coupling ξ, so that λφ can be much larger. But λφ and ξ cannot be ∼ 𝒪(1) simultaneously; the naturalness burden is shared between them. We show that the absence of new physics signals at TeV scale may prefer a more natural size of ξ ≲ 𝒪(1−100) with λφ ≲ 𝒪(10−4−10−8), constraining larger ξ with larger λφ more strongly. This intriguing connection between low- and high-energy physics is made in the scenarios with U(1)X where inflaton's renormalization running also induces Coleman-Weinberg mechanism for the electroweak symmetry breaking. We particularly work out the prospects of LHC 13 and 100 TeV pp colliders for probing the parameter space of the small CMB amplitude.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: hedged possibility 0.85
What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.29 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| The small CMB amplitude $A_s \simeq 10^{-9}$ (or, small temperature fluctuation $\delta T/T \simeq 10^{-5}$) typically requires an unnaturally small effective coupling of an inflaton $\lambda_\phi \sim 10^{-14}$. | background 1.00 | 0.06 | 0.04 | asserted 0.84 |
| In successful models, there usually is extra suppression of the amplitude, e.g. by large-field inflaton with non-minimal coupling $\xi$, so that $\lambda_\phi$ can be much larger. | background 1.00 | 0.05 | 0.04 | asserted 0.75 |
| But $\lambda_\phi$ and $\xi$ cannot be $\sim {\cal O}(1)$ simultaneously; the naturalness burden is shared between them. | background 0.95 | 0.11 | 0.08 | asserted 1.00 |
| We show that the absence of new physics signals at TeV scale may prefer a more natural size of $\xi \lesssim {\cal O}(1-100)$ with $\lambda_\phi \lesssim {\cal O}(10^{-4}-10^{-8})$, constraining larger $\xi$ with larger $\lambda_\phi$ more strongly. | result 0.91 | 0.88 | 0.77 | hedged possibility 0.85 |
| This intriguing connection between low- and high-energy physics is made in the scenarios with $U(1)_X$ where inflaton's renormalization running also induces Coleman-Weinberg mechanism for the electroweak symmetry breaking. | contribution 0.42 | 0.34 | 0.13 | asserted 0.91 |
| We particularly work out the prospects of LHC 13 and 100 TeV $pp$ colliders for probing the parameter space of the small CMB amplitude. | contribution 0.90 | 0.79 | 0.14 | asserted 0.64 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.61
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- arXiv listing abstract v1
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- full text
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- references and citing sentences
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- P abstract
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- S sections
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- C citations
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How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,290 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Leptogenesis triggered by a first-order phase transition hep-ph · Jun 2022
How the literature uses it
2 arXiv papers cite this in 2 sentences
What it cites · 47 sentences without a confident label
Builds on 1 paper
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This model in our framework has been worked out in [ref] (including RG equations), with two small but necessary changes discussed below.
Radiative generation of the Higgs potential · Coleman-Weinberg mechanism with $U(1)_X$ · 0.85
Uses data or values from 7 papers
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The current bound on the mass of $Z^'$ having the same interactions as the SM $Z$ is 4.5 TeV from LHC13 35/fb [ref] .
Search for new high-mass phenomena in the dilepton final state using 36 fb$^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector · Main results · 0.99
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The current bound on the mass of $Z^'$ having the same interactions as the SM $Z$ is 4.5 TeV from LHC13 35/fb [ref] .
Search for high-mass resonances in dilepton final states in proton-proton collisions at $\sqrt{s}=$ 13 TeV · Main results · 0.99
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The observed $δT/T ∼10^-5$ (or $A_s ∼10^-9$) [ref] is typically translated to $λ_ϕ∼10^-14 ≪1$ for an effective quartic potential description $V = λ_ϕϕ^4/4$ of an inflaton $ϕ$.
Planck 2018 results. VI. Cosmological parameters · Introduction · 0.99
Compares with 4 papers
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A wider range of $x$ is allowed now (see [ref] for the allowed narrow range in a flatland), but only $x ∼1$ will be considered to avoid too large $X$ charges; models with $x=4/5$ and $2$ can be obtained from the $SO(10)$ grand unified gauge group.
Radiative symmetry breaking at the Fermi scale and flat potential at the Planck scale · Coleman-Weinberg mechanism with $U(1)_X$ · 0.90
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[ref] considered such a scenario but with a different focus; [ref] without EWSB.
Criticality and Inflation of the Gauged B-L Model · Coleman-Weinberg mechanism with $U(1)_X$ · 0.91
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[ref] considered such a scenario but with a different focus; [ref] without EWSB.
Inflection-point Higgs Inflation · Coleman-Weinberg mechanism with $U(1)_X$ · 0.91
Cites as background 22 papers
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$∙$ Inflation with non-minimal coupling Our main benchmark model is the quartic potential with a non-minimal coupling $ξϕ^2 R/M_pl^2$ (with dimensionless $ξ>0$) between inflaton and gravity [ref] .
Predictions on mass of Higgs portal scalar dark matter from Higgs inflation and flat potential · Inflation models for interpretation · 0.87
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$∙$ Inflation with non-minimal coupling Our main benchmark model is the quartic potential with a non-minimal coupling $ξϕ^2 R/M_pl^2$ (with dimensionless $ξ>0$) between inflaton and gravity [ref] .
Higgs inflation from Standard Model criticality · Inflation models for interpretation · 0.87
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$∙$ Inflation with non-minimal coupling Our main benchmark model is the quartic potential with a non-minimal coupling $ξϕ^2 R/M_pl^2$ (with dimensionless $ξ>0$) between inflaton and gravity [ref] .
Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis · Inflation models for interpretation · 0.87
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