Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics

Abstract

We implement a novel formalism to constrain primordial non-Gaussianity of the local type from the large-scale modulation of the small-scale power spectrum. Our approach combines information about primordial non-Gaussianity contained in the squeezed bispectrum and the collapsed trispectrum of large-scale structure together in a computationally amenable and consistent way, while avoiding the need to model complicated covariances of higher $N$-point functions. This work generalizes our recent work, which used a neural network estimate of local power, to the more conventional local power spectrum statistics, and explores using both matter field and halo catalogues from the Quijote simulations. We find that higher $N$-point functions of the matter field can provide strong constraints on $f_{NL}$, but higher $N$-point functions of the halo field, at the halo density of Quijote, only marginally improve constraints from the two-point function.

14 pages, 7 figures

References in corpus (49)

• Array Programming with NumPy
• emcee: The MCMC Hammer
• The cosmological simulation code GADGET-2
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Transients from Initial Conditions in Cosmological Simulations
• Primordial Non-Gaussianities from Inflation Models
• Constraints on local primordial non-Gaussianity from large scale structure
• Detection of Gravitational Lensing in the Cosmic Microwave Background
• The Quijote simulations
• The CAMELS project: Cosmology and Astrophysics with MachinE Learning Simulations
• GetDist: a Python package for analysing Monte Carlo samples
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• AbacusSummit: A Massive Set of High-Accuracy, High-Resolution $N$-Body Simulations
• Scale-dependent bias induced by local non-Gaussianity: A comparison to N-body simulations
• Symmetries and Consistency Relations in the Large Scale Structure of the Universe
• Modelling baryonic feedback for survey cosmology
• Large-scale dark matter simulations
• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• Primordial non-Gaussianity, scale-dependent bias, and the bispectrum of galaxies
• A new approach to observational cosmology using the scattering transform
• The $\text{Abacus}$ Cosmological $N$-body Code
• Primordial non-Gaussianity in the Bispectrum of the Halo Density Field
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Constraining local non-Gaussianities with kSZ tomography
• Near optimal bispectrum estimators for large-scale structure
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Can we actually constrain $f_{\mathrm{NL}}$ using the scale-dependent bias effect? An illustration of the impact of galaxy bias uncertainties using the BOSS DR12 galaxy power spectrum
• Verifying the consistency relation for the scale-dependent bias from local primordial non-Gaussianity
• A universal bound on N-point correlations from inflation
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Capturing Non-Gaussianity of the Large-Scale Structure with Weighted Skew-Spectra
• Limits on primordial non-Gaussianities from BOSS galaxy-clustering data
• Quijote-PNG: Simulations of primordial non-Gaussianity and the information content of the matter field power spectrum and bispectrum
• Learning to Concentrate: Multi-tracer Forecasts on Local Primordial Non-Gaussianity with Machine-Learned Bias
• The squeezed matter bispectrum covariance with responses
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear dark matter density field
• Primordial non-Gaussianity and non-Gaussian Covariance
• A non-perturbative test of consistency relations and their violation
• Density reconstruction from biased tracers and its application to primordial non-Gaussianity
• Squeezing $f_{\mathrm{NL}}$ out of the matter bispectrum with consistency relations
• Robust Neural Network-Enhanced Estimation of Local Primordial Non-Gaussianity
• The halo squeezed-limit bispectrum with primordial non-Gaussianity: a power spectrum response approach
• Quijote-PNG: Quasi-maximum likelihood estimation of Primordial Non-Gaussianity in the non-linear halo density field
• Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency

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