Cosmology and Nongalactic Astrophysics · arXiv:2303.18122 v1 · submitted 31 Mar 2023
Scale-Invariant Model for Gravitational Waves and Dark Matter
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“Our predictions are consistent with observations but only within a narrow part of the parameter space.”
from the abstract · picked out as the main claim by a classifier
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Abstract
We have conducted a revised analysis of the first-order phase transition that is associated with symmetry breaking in a classically scale-invariant model that has been extended with a new SU(2) gauge group. By incorporating recent developments in the understanding of supercooled phase transitions, we were able to calculate all of its features and significantly limit the parameter space. We were also able to predict the gravitational wave spectra generated during this phase transition and found that this model is well-testable with LISA. Additionally, we have made predictions regarding the relic dark matter abundance. Our predictions are consistent with observations but only within a narrow part of the parameter space. We have placed significant constraints on the supercool dark matter scenario by improving the description of percolation and reheating after the phase transition, as well as including the running of couplings. Finally, we have also analyzed the renormalization-scale dependence of our results.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.52
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.94 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.16 · 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 |
|---|---|---|---|---|
| We have conducted a revised analysis of the first-order phase transition that is associated with symmetry breaking in a classically scale-invariant model that has been extended with a new $SU(2)$ gauge group. | contribution 0.97 | 0.95 | 0.06 | asserted 0.98 |
| By incorporating recent developments in the understanding of supercooled phase transitions, we were able to calculate all of its features and significantly limit the parameter space. | method 0.48 | 0.95 | 0.11 | asserted 0.99 |
| We were also able to predict the gravitational wave spectra generated during this phase transition and found that this model is well-testable with LISA. | result 0.90 | 0.97 | 0.28 | asserted 1.00 |
| Additionally, we have made predictions regarding the relic dark matter abundance. | contribution 0.74 | 0.95 | 0.08 | asserted 0.99 |
| Our predictions are consistent with observations but only within a narrow part of the parameter space. | result 0.53 | 0.91 | 0.34 | asserted 0.52 |
| We have placed significant constraints on the supercool dark matter scenario by improving the description of percolation and reheating after the phase transition, as well as including the running of couplings. | result 0.45 | 0.95 | 0.19 | asserted 1.00 |
| Finally, we have also analyzed the renormalization-scale dependence of our results. | contribution 0.96 | 0.95 | 0.05 | asserted 0.95 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from simulation or computation 0.76
What was examined, and what was not
Sources read
- arXiv listing abstract v1
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,519 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
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 37 sentences without a confident label
Builds on 11 papers
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Motivated by these attractive features we performed an analysis of the phase transition, gravitational wave generation and dark matter relic abundance, updating and extending the existing results [ref] .
Classical scale-invariance, the electroweak scale and vector dark matter · Summary and conclusions · 1.00
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Motivated by these attractive features we performed an analysis of the phase transition, gravitational wave generation and dark matter relic abundance, updating and extending the existing results [ref] .
Higgs vacuum stability from the dark matter portal · Summary and conclusions · 1.00
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Motivated by these attractive features we performed an analysis of the phase transition, gravitational wave generation and dark matter relic abundance, updating and extending the existing results [ref] .
Predictions of a model of weak scale from dynamical breaking of scale invariance · Summary and conclusions · 1.00
Uses the method or tool of 4 papers
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* The approach of [ref] approximates the running quartic coupling via its $β$ function, relates the renormalisation scale with the field and uses as a reference scale the scale at which $λ_φ$ changes sign, V_1≈1/4(t) ^4 ≈1/49 g_X^4/128π^2log(/_0), where $t=logμ/_0$, $λ_φ(0)=0$ and $g_X$ is evaluated at $μ=_0$ (the running of $g_X$ is not included).
Super-cool Dark Matter · Finite temperature · 0.86
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* The approach of [ref] approximates the running quartic coupling via its $β$ function, relates the renormalisation scale with the field and uses as a reference scale the scale at which $λ_φ$ changes sign, V_1≈1/4(t) ^4 ≈1/49 g_X^4/128π^2log(/_0), where $t=logμ/_0$, $λ_φ(0)=0$ and $g_X$ is evaluated at $μ=_0$ (the running of $g_X$ is not included).
Strong gravitational radiation from a simple dark matter model · Finite temperature · 0.86
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We calculate the SNR using the usual formula [ref] :
The construction and use of LISA sensitivity curves · Gravitational waves · 0.99
Uses data or values from 2 papers
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For calculations we have used data collecting durations as $𝒯_LISA$ = 75 % $·$ 4 years [ref] and $𝒯_AEDGE$ = 3 years [ref] .
AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space · Gravitational waves · 0.89
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For calculations we have used data collecting durations as $𝒯_LISA$ = 75 % $·$ 4 years [ref] and $𝒯_AEDGE$ = 3 years [ref] .
Detecting gravitational waves from cosmological phase transitions with LISA: an update · Gravitational waves · 0.89
Cites as support 1 paper
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Our conclusions were also validated in a recent paper [ref] .
Vector dark matter in supercooled Higgs portal models · Supercool Dark Matter? · 0.99
Cites as background 131 papers
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The conformal Standard Model (SM) can be extended in a minimal manner with the addition of either an extra $U(1)$ [ref] or $SU(2)$ [ref] symmetry, and there are other possibilities such as models featuring an extended scalar sector [ref] , larger gauge groups, extra fermions, or more intricate architectures [ref] .
Conformal Symmetry and the Standard Model · Introduction · 0.88
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The conformal Standard Model (SM) can be extended in a minimal manner with the addition of either an extra $U(1)$ [ref] or $SU(2)$ [ref] symmetry, and there are other possibilities such as models featuring an extended scalar sector [ref] , larger gauge groups, extra fermions, or more intricate architectures [ref] .
Neutrino mass in radiatively-broken scale-invariant models · Introduction · 0.88
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The conformal Standard Model (SM) can be extended in a minimal manner with the addition of either an extra $U(1)$ [ref] or $SU(2)$ [ref] symmetry, and there are other possibilities such as models featuring an extended scalar sector [ref] , larger gauge groups, extra fermions, or more intricate architectures [ref] .
A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory · Introduction · 0.88
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