Cosmology and Nongalactic Astrophysics · arXiv:1208.1616 v1 · submitted 8 Aug 2012
Testing Multi-Field Inflation with Galaxy Bias
The paper says
“However, we find that disproving multi-field models of inflation with measurements of the non-Gaussian bias only will be very challenging, unless |fNL| > 80 and one can achieve a halo mass resolution of 1e10 Msun/h.”
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Abstract
Multi-field models of inflation predict an inequality between the amplitude tauNL of the collapsed limit of the four-point correlator of the primordial curvature perturbation and the amplitude fNL of the squeezed limit of its three-point correlator. While a convincing detection of non-Gaussianity through the squeezed limit of the three-point correlator would rule out all single-field models, a robust confirmation or disproval of the inequality between tauNL and fNL would provide crucial information about the validity of multi-field models of inflation. In this paper, we discuss to which extent future measurements of the scale-dependence of galaxy bias can test multi-field inflationary scenarios. The strong degeneracy between the effect of a non-vanishing fNL and tauNL on halo bias can be broken by considering multiple tracer populations of the same surveyed volume. If halos down to 1e13 Msun/h are resolved in a survey of volume 25(Gpc/h)^3, then testing multi-field models of inflation at the 3-\sigma level would require, for instance, a detection of tauNL at the level of tauNL 1e5 given a measurement of a local bispectrum with amplitude fNL 10. However, we find that disproving multi-field models of inflation with measurements of the non-Gaussian bias only will be very challenging, unless |fNL| > 80 and one can achieve a halo mass resolution of 1e10 Msun/h.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.92 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.96 · 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 |
|---|---|---|---|---|
| Multi-field models of inflation predict an inequality between the amplitude tauNL of the collapsed limit of the four-point correlator of the primordial curvature perturbation and the amplitude fNL of the squeezed limit of its three-point correlator. | background 1.00 | 0.05 | 0.04 | asserted 0.98 |
| While a convincing detection of non-Gaussianity through the squeezed limit of the three-point correlator would rule out all single-field models, a robust confirmation or disproval of the inequality between tauNL and fNL would provide crucial information about the validity of multi-field models of inflation. | background 0.95 | 0.04 | 0.05 | asserted 0.64 |
| In this paper, we discuss to which extent future measurements of the scale-dependence of galaxy bias can test multi-field inflationary scenarios. | contribution 0.99 | 0.45 | 0.05 | unclear 0.52 |
| The strong degeneracy between the effect of a non-vanishing fNL and tauNL on halo bias can be broken by considering multiple tracer populations of the same surveyed volume. | method 0.91 | 0.33 | 0.10 | asserted 0.90 |
| If halos down to 1e13 Msun/h are resolved in a survey of volume 25(Gpc/h)^3, then testing multi-field models of inflation at the 3-\sigma level would require, for instance, a detection of tauNL at the level of tauNL~1e5 given a measurement of a local bispectrum with amplitude fNL~10. | result 0.96 | 0.57 | 0.15 | asserted 0.64 |
| However, we find that disproving multi-field models of inflation with measurements of the non-Gaussian bias only will be very challenging, unless |fNL| > 80 and one can achieve a halo mass resolution of 1e10 Msun/h. | result 0.76 | 0.92 | 0.55 | asserted 0.99 |
What kind of paper the classifier reports this is: theoretical result 0.47 · evidence from argument 0.63
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,296 input tokens, $0.0002 reported.
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 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Stochastic Bias from Non-Gaussian Initial Conditions astro-ph.CO · Sep 2012
- Searching for Inflationary Physics with the CMB Trispectrum: 3. Constraints from Planck astro-ph.CO · Feb 2025
- Inflation with an extra light scalar field after Planck astro-ph.CO · Dec 2015
- DESI and other dark energy experiments in the era of neutrino mass measurements astro-ph.CO · Aug 2013
How the literature uses it
11 arXiv papers cite this in 13 sentences
Papers citing it · 10 sentences without a confident label
Compares with it 1 paper
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A recent paper by Biagetti, Desjacques and Riotto (2012) [ref] have shown a non-Gaussian correction to the bias including the effect of $τ_NL$ and we find that their expression of the non-Gaussian correction coincides with the second line in our Eq. ([ref]), by employing the PS mass function.
Scale-dependent bias with higher order primordial non-Gaussianity: Use of the Integrated Perturbation Theory · Scale-dependent bias with primordial non-Gaussianities · 1.00
Cites it as background 2 papers
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To which extent future measurements of the scale-dependence of halo bias can test multi-field inequality has been the subject of Ref. [ref] .
Testing the Running of non-Gaussianity through the CMB mu-distortion and the Halo Bias · Introduction · 0.81
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We could hope to add projections for, e.g., other models of non-Gaussianity [ref] , warm dark matter [ref] or primordial black holes contributing to the power spectrum [ref] (for the latter two we would really like to have a better implementation).
DESI and other dark energy experiments in the era of neutrino mass measurements · Discussion and Conclusions · 0.95
What it cites · 7 sentences without a confident label
Cites as background 2 papers
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We refer the reader to [ref] for a recent study in which both $$ and $$ are nonzero.
Can we really measure fnl from the galaxy power spectrum? · Non-Gaussian halo bias · 0.81
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Alternatives to the curvaton model are those models characterised by the curvature perturbation being generated by an inhomogeneity in the decay rate ( [ref] , [ref] ) of the particles responsible for the reheating after inflation.
Probing String Theory with Modulated Cosmological Fluctuations · Introduction · 0.96
Challenges and discussion
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