Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum

Abstract

The influence of large-scale density fluctuations on structure formation on small scales is described by the three-point correlation function (bispectrum) in the so-called "squeezed configurations," in which one wavenumber, say $k_3$, is much smaller than the other two, i.e., $k_3\ll k_1\approx k_2$. This bispectrum is generated by non-linear gravitational evolution and possibly also by inflationary physics. In this paper, we use this fact to show that the bispectrum in the squeezed configurations can be measured without employing three-point function estimators. Specifically, we use the "position-dependent power spectrum," i.e., the power spectrum measured in smaller subvolumes of the survey (or simulation box), and correlate it with the mean overdensity of the corresponding subvolume. This correlation directly measures an integral of the bispectrum dominated by the squeezed configurations. Measuring this correlation is only slightly more complex than measuring the power spectrum itself, and sidesteps the considerable complexity of the full bispectrum estimation. We use cosmological $N$-body simulations of collisionless particles with Gaussian initial conditions to show that the measured correlation between the position-dependent power spectrum and the long-wavelength overdensity agrees with the theoretical expectation. The position-dependent power spectrum thus provides a new, efficient, and promising way to measure the squeezed-limit bispectrum from large-scale structure observations such as galaxy redshift surveys.

arXiv comment23 pages, 6 figures; dependence on cosmological parameters added; JCAP accepted

References in corpus (29)

• A Universal Density Profile from Hierarchical Clustering
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Large scale bias and the peak background split
• Profiles of dark haloes: evolution, scatter, and environment
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Halo Models of Large Scale Structure
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• An analytic model for the spatial clustering of dark matter haloes
• Transients from Initial Conditions in Cosmological Simulations
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Power Spectrum Super-Sample Covariance
• Correcting for the alias effect when measuring the power spectrum using FFT
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Super-Sample Covariance in Simulations
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Single-Field Consistency Relations of Large Scale Structure
• Initial conditions to cosmological N-body simulations, or how to run an ensemble of simulations
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• The Bispectrum of IRAS Galaxies
• A Fitting Formula for the Non-Linear Evolution of the Bispectrum
• Peak-Background Split, Renormalization, and Galaxy Clustering
• An improved fitting formula for the dark matter bispectrum
• Bispectrum and Nonlinear Biasing of Galaxies: Perturbation Analysis, Numerical Simulation and SDSS Galaxy Clustering
• Thinking Outside the Box: Effects of Modes Larger than the Survey on Matter Power Spectrum Covariance
• Galaxy redshift surveys with sparse sampling
• The Effect of Local non-Gaussianity on the Matter Bispectrum at Small Scales

Cited by in corpus (90)

• Large-Scale Galaxy Bias
• CosmoLike - Cosmological Likelihood Analyses for Photometric Galaxy Surveys
• Separate Universe Simulations
• New Interpretable Statistics for Large Scale Structure Analysis and Generation
• Galaxy bispectrum, primordial non-Gaussianity and redshift space distortions
• Looking through the same lens: shear calibration for LSST, Euclid & WFIRST with stage 4 CMB lensing
• Super-Sample Signal
• Near optimal bispectrum estimators for large-scale structure
• The angle-averaged squeezed limit of nonlinear matter N-point functions
• A bias to CMB lensing measurements from the bispectrum of large-scale structure
• Scale-dependent bias and bispectrum in neutrino separate universe simulations
• Perturbative approach to covariance matrix of the matter power spectrum
• Cosmology Without Window Functions: Cubic Estimators for the Galaxy Bispectrum
• Predictions for local PNG bias in the galaxy power spectrum and bispectrum and the consequences for $f_{\mathrm{NL}}$ constraints
• Position-dependent power spectra of the 21-cm signal from the epoch of reionization
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Galaxy power-spectrum responses and redshift-space super-sample effect
• Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
• What does the Marked Power Spectrum Measure? Insights from Perturbation Theory
• The integrated 3-point correlation function of cosmic shear
• Bispectrum Supersample Covariance
• Weak Lensing of Intensity Mapping: the Cosmic Infrared Background
• Cosmological N-Body Simulations with a Large-Scale Tidal Field
• The impact of large-scale tides on cosmological distortions via redshift-space power spectrum
• The Effective Halo Model: Creating a Physical and Accurate Model of the Matter Power Spectrum and Cluster Counts
• Self-calibration of weak lensing systematic effects using combined two- and three-point statistics
• Separating the Universe into the Real and Fake
• The squeezed matter bispectrum covariance with responses
• Analytic Gaussian Covariance Matrices for Galaxy $N$-Point Correlation Functions
• Graph Database Solution for Higher Order Spatial Statistics in the Era of Big Data
• What Can We Learn by Combining the Skew Spectrum and the Power Spectrum?
• ETHOS -- An effective parametrization and classification for structure formation: the non-linear regime at $z\gtrsim 5$
• Responses of Halo Occupation Distributions: a new ingredient in the halo model & the impact on galaxy bias
• The tensor bi-spectrum in a matter bounce
• Euclid: Cosmology forecasts from the void-galaxy cross-correlation function with reconstruction
• Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-$\alpha$ forest power spectrum
• The Integrated Bispectrum and Beyond
• Density-dependent clustering: I. Pulling back the curtains on motions of the BAO peak
• The Epoch of Reionization 21-cm Bispectrum: The impact of light-cone effects and detectability
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• First Detection of Cosmic Microwave Background Lensing and Lyman-α Forest Bispectrum
• Cosmology with Phase Statistics: Parameter Forecasts and Detectability of BAO
• Density reconstruction from biased tracers and its application to primordial non-Gaussianity
• Quintessential Scale Dependence from Separate Universe Simulations
• Modal compression of the redshift-space galaxy bispectrum
• Local Primordial Non-Gaussianities and Super-Sample Variance
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Towards cosmological constraints from the compressed modal bispectrum: a robust comparison of real-space bispectrum estimators
• The position-dependent matter density probability distribution function
• On Soft Limits of Large-Scale Structure Correlation Functions
• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• Measurement of Void Bias Using Separate Universe Simulations
• Separate Universe Void Bias
• Euclid: Covariance of weak lensing pseudo-$C_{\ell }$ estimates. Calculation, comparison to simulations, and dependence on survey geometry
• Separate Universes beyond General Relativity
• Consistency Relations in Effective Field Theory
• An Inventory of Bispectrum Estimators for Redshift Space Distortions
• The halo squeezed-limit bispectrum with primordial non-Gaussianity: a power spectrum response approach
• Large Scale Structure Reconstruction with Short-Wavelength Modes
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• Non-local bispectra from super cosmic variance
• Simultaneous Dependence of Matter Clustering on Scale and Environment
• The integrated angular bispectrum of weak lensing
• Quintessential Isocurvature in Separate Universe Simulations
• Power spectrum in the presence of large-scale overdensity and tidal fields: breaking azimuthal symmetry
• Constraining primordial and gravitational mode coupling with the position-dependent bispectrum of the large-scale structure
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• The integrated angular bispectrum
• Forecasting Super-Sample Covariance in Future Weak Lensing Surveys with SuperSCRAM
• Cosmic Tidal Reconstruction with Halo Fields
• Impact of our local environment on cosmological statistics
• The environmental dependence of the baryon acoustic peak in the Baryon Oscillation Spectroscopic Survey CMASS sample
• The Impact of ionization Morphology and X-ray Heating on the Cosmological 21cm Skew Spectrum
• Constraints on primordial non-Gaussianity using multitracer technique for skew spectrum
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics
• Reconstructing the Long-wavelength Matter Density Fluctuation Modes from the Scalar-Type Clustering Fossils
• Position-dependent Voronoi probability distribution functions for matter and halos
• Modelling the environmental dependence of the growth rate
• Scale-dependent halo bias and the squeezed limit bispectrum in the presence of radiation
• Constraints on primordial non-Gaussianity from Planck PR4 data
• Bounds on galaxy stochasticity from halo occupation distribution modeling
• A Consistency Relation for the CMB B-mode Polarization in the Squeezed Limit
• On Weak Lensing Response Functions
• Clustering redshifts with the 21cm-galaxy cross-bispectrum
• Skew-spectra: a generalization to spin-$s$
• Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales
• An empirical nonlinear power spectrum overdensity-response
• Turning dispersion into signal: density-split analyses of pairwise velocities
• $\text{SBi3PCF:}$ Simulation-based inference with the integrated 3PCF
• Indicator Power Spectra: Surgical Excision of Non-linearities and Covariance Matrices for Counts in Cells