The integrated 3-point correlation function of cosmic shear

Abstract

We present the integrated 3-point shear correlation function $i{\zeta }_{\pm }$ -- a higher-order statistic of the cosmic shear field -- which can be directly estimated in wide-area weak lensing surveys without measuring the full 3-point shear correlation function, making this a practical and complementary tool to 2-point statistics for weak lensing cosmology. We define it as the 1-point aperture mass statistic $M_{\mathrm{ap}}$ measured at different locations on the shear field correlated with the corresponding local 2-point shear correlation function ${\xi }_{\pm }$. Building upon existing work on the integrated bispectrum of the weak lensing convergence field, we present a theoretical framework for computing the integrated 3-point function in real space for any projected field within the flat-sky approximation and apply it to cosmic shear. Using analytical formulae for the non-linear matter power spectrum and bispectrum, we model $i{\zeta }_{\pm }$ and validate it on N-body simulations within the uncertainties expected from the sixth year cosmic shear data of the Dark Energy Survey. We also explore the Fisher information content of $i{\zeta }_{\pm }$ and perform a joint analysis with ${\xi }_{\pm }$ for two tomographic source redshift bins with realistic shape-noise to analyse its power in constraining cosmological parameters. We find that the joint analysis of ${\xi }_{\pm }$ and $i{\zeta }_{\pm }$ has the potential to considerably improve parameter constraints from ${\xi }_{\pm }$ alone, and can be particularly useful in improving the figure of merit of the dynamical dark energy equation of state parameters from cosmic shear data.

arXiv commentAccepted for publication in MNRAS; v2 matches the accepted manuscript; 18 pages + appendix

References in corpus (80)

• Array Programming with NumPy
• The cosmological simulation code GADGET-2
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Weak Gravitational Lensing
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• GADGET: A code for collisionless and gasdynamical cosmological simulations
• SparsePak: A Formatted Fiber Field Unit for The WIYN Telescope Bench Spectrograph. I. Design, Construction, and Calibration
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• KiDS-1000 Cosmology: Cosmic shear constraints and comparison between two point statistics
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cosmic Shear
• Transients from Initial Conditions in Cosmological Simulations
• Cosmology with cosmic shear observations: a review
• The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview
• Weak Gravitational Lensing with COSMOS: Galaxy Selection and Shape Measurements
• Cosmological parameters from lensing power spectrum and bispectrum tomography
• Detection of (dark) matter concentrations via weak gravitational lensing
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• The Skewness of the Aperture Mass Statistic
• Cosmological constraints from cosmic shear two-point correlation functions with HSC survey first-year data
• Discriminating weak lensing from intrinsic spin correlations using the curl-gradient decomposition
• B-modes in cosmic shear from source redshift clustering
• Weak Lensing and Dark Energy
• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• CFHTLenS: Cosmological constraints from a combination of cosmic shear two-point and three-point correlations
• Improving lognormal models for cosmological fields
• Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
• Massive optimal data compression and density estimation for scalable, likelihood-free inference in cosmology
• Non-Linear Cluster Lens Reconstruction
• Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data
• A Fitting Formula for the Non-Linear Evolution of the Bispectrum
• Weak Gravitational Lensing
• Likelihood-free inference with neural compression of DES SV weak lensing map statistics
• Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
• Fisher for complements: Extracting cosmology and neutrino mass from the counts-in-cells PDF
• Position-dependent power spectrum of the large-scale structure: a novel method to measure the squeezed-limit bispectrum
• Weak lensing from space: first cosmological constraints from three-point shear statistics
• Cosmic shear covariance: The log-normal approximation
• Dark Energy Survey Year 3 Results: Covariance Modelling and its Impact on Parameter Estimation and Quality of Fit
• Density split statistics: joint model of counts and lensing in cells
• Dark Energy Survey Year 1 Results: Curved-Sky Weak Lensing Mass Map
• Cosmological parameters from combined second- and third-order aperture mass statistics of cosmic shear
• The three-point correlation function of cosmic shear: I. The natural components
• Hyperextended Cosmological Perturbation Theory: Predicting Non-linear Clustering Amplitudes
• The Limits of Cosmic Shear
• Testing the lognormality of the galaxy and weak lensing convergence distributions from Dark Energy Survey maps
• The three-point correlation function of cosmic shear. II: Relation to the bispectrum of the projected mass density and generalized third-order aperture measures
• Dark Energy Survey Year 3 results: cosmology with moments of weak lensing mass maps -- validation on simulations
• Cosmological Forecast for non-Gaussian Statistics in large-scale weak Lensing Surveys
• Fitting the nonlinear matter bispectrum by the Halofit approach
• A Unified Analysis of Four Cosmic Shear Surveys
• Probing cosmology with weak lensing selected clusters I: Halo approach and all-sky simulations
• Position-dependent power spectra of the 21-cm signal from the epoch of reionization
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Cosmological constraints from Subaru weak lensing cluster counts
• Separate Universe Simulations with IllustrisTNG: baryonic effects on power spectrum responses and higher-order statistics
• Towards optimal cosmological parameter recovery from compressed bispectrum statistics
• Precision matrix expansion - efficient use of numerical simulations in estimating errors on cosmological parameters
• Non-linear shrinkage estimation of large-scale structure covariance
• Euclid: Reconstruction of Weak Lensing mass maps for non-Gaussianity studies
• Bayesian Methods in Cosmology
• The Angular Three-Point Correlation Function in the Quasilinear Regime
• The Weak Lensing Bispectrum Induced By Gravity
• Precise weak lensing constraints from deep high-resolution $K_{\mathrm{s}}$ images: VLT/HAWK-I analysis of the super-massive galaxy cluster RCS2$J$232727.7$-$020437 at $z=0.70$
• Response approach to the squeezed-limit bispectrum: application to the correlation of quasar and Lyman-$\alpha$ forest power spectrum
• The Integrated Bispectrum and Beyond
• First Detection of Cosmic Microwave Background Lensing and Lyman-α Forest Bispectrum
• Cosmological parameters from weak lensing power spectrum and bispectrum tomography: including the non-Gaussian errors
• The Lyman-$\alpha$ power spectrum - CMB lensing convergence cross-correlation
• CMB lensing bi-spectrum: assessing analytical predictions against full-sky lensing simulations
• An adapted filter function for density split statistics in weak lensing
• Jackknife resampling technique on mocks: an alternative method for covariance matrix estimation
• Estimating the Integrated Bispectrum from Weak Lensing Maps
• The integrated angular bispectrum of weak lensing
• The integrated angular bispectrum

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• It takes two to know one: Computing accurate one-point PDF covariances from effective two-point PDF models
• Cosmology from the integrated shear 3-point correlation function: simulated likelihood analyses with machine-learning emulators
• Comparing weak lensing peak counts in baryonic correction models to hydrodynamical simulations
• A revised density split statistic model for general filters
• Forecasting the power of Higher Order Weak Lensing Statistics with automatically differentiable simulations
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• Simulation-Based Inference Benchmark for Weak Lensing Cosmology
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• What does a cosmological experiment really measure? Covariant posterior decomposition with normalizing flows
• Weak Lensing Constraints on Dark Matter-Baryon Interactions with $N$-Body Simulations and Machine Learning
• Simulation-based inference has its own Dodelson-Schneider effect (but it knows that it does)
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• Bounds on galaxy stochasticity from halo occupation distribution modeling
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• Clustering of the extreme: A theoretical description of weak lensing critical points power spectra in the mildly nonlinear regime
• Matching Bayesian and frequentist coverage probabilities when using an approximate data covariance matrix
• $\text{SBi3PCF:}$ Simulation-based inference with the integrated 3PCF
• On Weak Lensing Response Functions
• Non-linear infusion of intrinsic alignment and source clustering: impact on non-Gaussian cosmic shear statistics
• Response approach to the integrated shear 3-point correlation function: the impact of baryonic effects on small scales
• Dark Energy Survey Year 3 Results: Three-Point Shear Correlations and Mass Aperture Moments