High Energy Physics - Phenomenology · arXiv:1210.7118 v3 · submitted 26 Oct 2012
Non-Gaussianity in the inflating curvaton
The paper says
“Using the delta-N formalism, we discuss the evolution of the curvature perturbation during curvaton inflation and find analytic formulation of the non-Gaussianity parameter.”
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The paper
Abstract
Inflating curvaton can create curvature perturbation when the curvaton density is slowly varying. Using the delta-N formalism, we discuss the evolution of the curvature perturbation during curvaton inflation and find analytic formulation of the non-Gaussianity parameter. We first consider the inflating curvaton with sufficiently long inflationary expansion. Then we compare the result with short curvaton inflation.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.34 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.58 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Inflating curvaton can create curvature perturbation when the curvaton density is slowly varying. | background 0.96 | 0.15 | 0.15 | asserted 0.67 |
| Using the delta-N formalism, we discuss the evolution of the curvature perturbation during curvaton inflation and find analytic formulation of the non-Gaussianity parameter. | contribution 0.66 | 0.96 | 0.44 | asserted 1.00 |
| We first consider the inflating curvaton with sufficiently long inflationary expansion. | method 0.66 | 0.44 | 0.05 | asserted 0.81 |
| Then we compare the result with short curvaton inflation. | method 0.50 | 0.82 | 0.05 | unclear 0.54 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00
What was examined, and what was not
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- arXiv listing abstract v3
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,486 input tokens, $0.0001 reported.
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Cited by 5 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter astro-ph.CO · May 2023
- Inflation with an extra light scalar field after Planck astro-ph.CO · Dec 2015
- Primordial Black Holes from the inflating curvaton hep-ph · Nov 2012
- Comprehensive analysis of the simplest curvaton model astro-ph.CO · Mar 2014
- The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe astro-ph.CO · Jun 2020
How the literature uses it
13 arXiv papers cite this in 19 sentences
Papers citing it · 13 sentences without a confident label
Cites it as background 6 papers
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In some recent works the question of combining curvaton and inhomogeneous reheating scenarios has been studied in the light of the modulated curvaton decay [ref] , where the non-linear formalism of the component perturbations based on [ref] , has been used.
Delta-N Formalism for Curvaton with Modulated Decay · Introduction · 0.85
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However, later studies revealed that there are many other candidates for the mechanism of generating the curvature perturbations after inflation [ref] .
Primordial Black Holes from the inflating curvaton · Introduction · 0.96
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Primordial non-Gaussianity is also present in the curvaton scenario [ref] , and it is usually treated perturbatively, described by the local non-Gaussianity parameter $f_NL$ and its higher-order counterparts.
Stochastic Axion-like Curvaton: Non-Gaussianity and Primordial Black Holes Without Large Power Spectrum · Introduction · 0.90
What it cites · 23 sentences without a confident label
Uses the method or tool of 1 paper
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(See also the appendix.) In this paper we consider the non-linear formalism defined in Ref. [ref] ; [equation] where $δρ_i^iso$ will be defined in Eq.([ref]).
Non-linear isocurvature perturbations and non-Gaussianities · Non-linear formalism (brief review) · 0.93
Cites as background 8 papers
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The idea of the inflating curvaton has been mentioned earlier in many papers [ref] .[Here, we should remember that the conventional quadratic potential (without additional vacuum energy) is usually not suitable for the inflating curvaton mechanism in the sense that the second inflation (curvaton inflation) may not create enough perturbation via the curvaton mechanism.] There has been numerical calculation for the hilltop curvaton, in which the curvaton inflation may take place [ref] .
Hilltop Non-Gaussianity · Introduction · 0.82
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The idea of the inflating curvaton has been mentioned earlier in many papers [ref] .[Here, we should remember that the conventional quadratic potential (without additional vacuum energy) is usually not suitable for the inflating curvaton mechanism in the sense that the second inflation (curvaton inflation) may not create enough perturbation via the curvaton mechanism.] There has been numerical calculation for the hilltop curvaton, in which the curvaton inflation may take place [ref] .
Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models · Introduction · 0.82
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In this respect, a lot of papers consider the calculation of the spectrum of $ζ$ just at the end of inflation [ref] .
Curvaton and the inhomogeneous end of inflation · Introduction · 0.95
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