Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics

Abstract

Recent cosmic shear studies have shown that higher-order statistics (HOS) developed by independent teams now outperform standard two-point estimators in terms of statistical precision thanks to their sensitivity to the non-Gaussian features of large-scale structure. The aim of the Higher-Order Weak Lensing Statistics (HOWLS) project is to assess, compare, and combine the constraining power of ten different HOS on a common set of $Euclid$-like mocks, derived from N-body simulations. In this first paper of the HOWLS series, we computed the nontomographic (${\Omega }_{\mathrm{m}}$, ${\sigma }_8$) Fisher information for the one-point probability distribution function, peak counts, Minkowski functionals, Betti numbers, persistent homology Betti numbers and heatmap, and scattering transform coefficients, and we compare them to the shear and convergence two-point correlation functions in the absence of any systematic bias. We also include forecasts for three implementations of higher-order moments, but these cannot be robustly interpreted as the Gaussian likelihood assumption breaks down for these statistics. Taken individually, we find that each HOS outperforms the two-point statistics by a factor of around two in the precision of the forecasts with some variations across statistics and cosmological parameters. When combining all the HOS, this increases to a $4.5$ times improvement, highlighting the immense potential of HOS for cosmic shear cosmological analyses with $Euclid$. The data used in this analysis are publicly released with the paper.

arXiv comment33 pages, 24 figures, main results in Fig. 19 & Table 5, version published in A&A

References in corpus (112)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Efficient Computation of CMB anisotropies in closed FRW models
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Baryonic Features in the Matter Transfer Function
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The COSMOS2015 Catalog: Exploring the 1<z<6 Universe with half a million galaxies
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Karhunen-Loeve eigenvalue problems in cosmology: how should we tackle large data sets?
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Cosmology with cosmic shear observations: a review
• Dark Energy vs. Modified Gravity
• Dark Energy Survey Year 3 Results: Cosmology from Cosmic Shear and Robustness to Data Calibration
• Very weak lensing in the CFHTLS Wide: Cosmology from cosmic shear in the linear regime
• A new measure for cosmic shear
• The Skewness of the Aperture Mass Statistic
• CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
• Discriminating weak lensing from intrinsic spin correlations using the curl-gradient decomposition
• KiDS+GAMA: Cosmology constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing and angular clustering
• Minkowski Functionals used in the Morphological Analysis of Cosmic Microwave Background Anisotropy Maps
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• Cosmology with the shear-peak statistics
• Modified Gravity-GADGET: A new code for cosmological hydrodynamical simulations of modified gravity models
• Improving lognormal models for cosmological fields
• Eigenmode Analysis of Galaxy Redshift Surveys I. Theory and Methods
• Searching for massive clusters in weak lensing surveys
• Cosmology constraints from shear peak statistics in Dark Energy Survey Science Verification data
• High Performance P3M N-body code: CUBEP3M
• CFHTLenS: Mapping the Large Scale Structure with Gravitational Lensing
• A new approach to observational cosmology using the scattering transform
• KiDS-450: Cosmological Constraints from Weak Lensing Peak Statistics - II: Inference from Shear Peaks using N-body Simulations
• Effect of baryonic feedback on two- and three-point shear statistics: prospects for detection and improved modelling
• Gravitational Lensing of Distant Field Galaxies by Rich Clusters: I. -- Faint Galaxy Redshift Distributions
• Cluster Mass Calibration at High Redshift: HST Weak Lensing Analysis of 13 Distant Galaxy Clusters from the South Pole Telescope Sunyaev-Zel'dovich Survey
• Probing Cosmology with Weak Lensing Minkowski Functionals
• Density split statistics: Cosmological constraints from counts and lensing in cells in DES Y1 and SDSS data
• Towards an Optimal Estimation of Cosmological Parameters with the Wavelet Scattering Transform
• Emulating the CFHTLenS Weak Lensing data: Cosmological Constraints from moments and Minkowski functionals
• GaBoDS: The Garching-Bonn Deep Survey -- IX. A sample of 158 shear-selected mass concentration candidates
• Density split statistics: joint model of counts and lensing in cells
• The three-point correlation function of cosmic shear: I. The natural components
• Weak lensing survey of galaxy clusters in the CFHTLS Deep
• The 2-degree Field Lensing Survey: design and clustering measurements
• Cosmic Shear Cosmology Beyond 2-Point Statistics: A Combined Peak Count and Correlation Function Analysis of DES-Y1
• Constraining neutrino mass with tomographic weak lensing one-point probability distribution function and power spectrum
• Cosmological Simulations for Combined-Probe Analyses: Covariance and Neighbour-Exclusion Bias
• Simulations of Weak Gravitational Lensing - II : Including Finite Support Effects in Cosmic Shear Covariance Matrices
• Breaking degeneracies in modified gravity with higher (than 2nd) order weak-lensing statistics
• Euclid Preparation IV. Impact of undetected galaxies on weak-lensing shear measurements
• The cosmology dependence of weak lensing cluster counts
• Weak Lensing Light-Cones in Modified Gravity simulations with and without Massive Neutrinos
• The three-point correlation function of cosmic shear. II: Relation to the bispectrum of the projected mass density and generalized third-order aperture measures
• Nuw CDM cosmology from the weak lensing convergence PDF
• Searching for galaxy clusters using the aperture mass statistics in 50 VLT fields
• Dark Energy Survey Year 3 results: cosmology with moments of weak lensing mass maps -- validation on simulations
• Constraining neutrino mass with tomographic weak lensing peak counts
• A large sample of shear selected clusters from the Hyper Suprime-Cam Subaru Strategic Program S16A wide field mass maps
• Cosmic Shear Covariance Matrix in $w$CDM: Cosmology Matters
• Weak lensing scattering transform: dark energy and neutrino mass sensitivity
• Going Beyond the Galaxy Power Spectrum: an Analysis of BOSS Data with Wavelet Scattering Transforms
• Statistics of dark matter haloes expected from weak lensing surveys
• Baryon impact on weak lensing peaks and power spectrum: low-bias statistics and self-calibration in future surveys
• Lifting weak lensing degeneracies with a field-based likelihood
• Persistent homology in cosmic shear: constraining parameters with topological data analysis
• Statistics of Weak Lensing at Small Angular Scales: Analytical Predictions for Lower Order Moments
• Cosmological constraints from Subaru weak lensing cluster counts
• Dark energy constraints from lensing-detected galaxy clusters
• Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
• Game of cones: A nulling strategy for modelling lensing convergence in cones with large deviation theory
• Quantifying lost information due to covariance matrix estimation in parameter inference
• Cosmological constraints from the convergence 1-point probability distribution
• The effect of baryons in the cosmological lensing PDFs
• The Accuracy of Weak Lensing Simulations
• Going deep with Minkowski functionals of convergence maps
• Weak-Lensing Halo Numbers and Dark-Matter Profiles
• Accurate Analytic Model for the Weak Lensing Convergence One-Point Probability Distribution Function and its Auto-Covariance
• Probing dark energy with tomographic weak-lensing aperture mass statistics
• Measuring primordial non-Gaussianity with weak-lensing surveys
• Euclid: Reconstruction of Weak Lensing mass maps for non-Gaussianity studies
• Self-calibration of weak lensing systematic effects using combined two- and three-point statistics
• Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1
• Fast and easy super-sample covariance of large scale structure observables
• A new model to predict weak-lensing peak counts III. Filtering technique comparisons
• Minkowski Functionals of Convergence Maps and the Lensing Figure of Merit
• Disentangling dark sector models using weak lensing statistics
• KiDS-1000 Cosmology: Constraints from density split statistics
• Non-Gaussianity in the Weak Lensing Correlation Function Likelihood -- Implications for Cosmological Parameter Biases
• A roadmap to cosmological parameter analysis with third-order shear statistics I: Modelling and validation
• Probability distribution function of the aperture mass field with large deviation theory
• Weak Lensing Peaks in Simulated Light-Cones: Investigating the Coupling between Dark Matter and Dark Energy
• Non-Gaussian modelling and statistical denoising of Planck dust polarization full-sky maps using scattering transforms
• Weak lensing of large scale structure in the presence of screening
• The non-Gaussian tail of cosmic-shear statistics
• It takes two to know one: Computing accurate one-point PDF covariances from effective two-point PDF models
• Impact of baryons in cosmic shear analyses with tomographic aperture mass statistics
• Higher order statistics of shear field: a machine learning approach
• A gravitational lensing detection of filamentary structures connecting luminous red galaxies
• Fast estimation of aperture mass statistics II: Detectability of higher order statistics in current and future surveys
• Detecting the non-Gaussianity of the 21-cm signal during reionisation with the Wavelet Scattering Transform
• Fast Calculation of the Weak Lensing Aperture Mass Statistic
• Optimizing simulation parameters for weak lensing analyses involving non-Gaussian observables
• Exploration of 3D wavelet scattering transform coefficients for line-intensity mapping measurements
• A roadmap to cosmological parameter analysis with third-order shear statistics II: Analytic covariance estimate
• Fast estimation of aperture-mass statistics I: aperture mass variance and an application to the CFHTLenS data
• Numerical complexity of the joint nulled weak-lensing probability distribution function
• Extremely expensive likelihoods: A variational-Bayes solution for precision cosmology
• Dark energy constraints and correlations with systematics from CFHTLS weak lensing, SNLS supernovae Ia and WMAP5

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• Precise Cosmological Constraints from BOSS Galaxy Clustering with a Simulation-Based Emulator of the Wavelet Scattering Transform
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• Towards unveiling the large-scale nature of gravity with the wavelet scattering transform
• Impact of baryonic feedback on HSC Y1 weak lensing non-Gaussian statistics
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• Third-order intrinsic alignment of SDSS BOSS LOWZ galaxies
• Euclid preparation: Determining the weak lensing mass accuracy and precision for galaxy clusters
• A rising tide: Intrinsic alignments since the turn of the millennium
• Weak-lensing tunnel voids in simulated light cones: A new pipeline to investigate modified gravity and massive neutrinos signatures
• Euclid preparation. Simulations and nonlinearities beyond $\Lambda$CDM. 1. Numerical methods and validation
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• The FLAMINGO project: cosmology with the redshift dependence of weak gravitational lensing peaks
• Accurate Kappa Reconstruction Algorithm for masked shear catalog (AKRA)
• Hybrid summary statistics: neural weak lensing inference beyond the power spectrum
• Neural style transfer of weak lensing mass maps
• Non-Gaussian statistics in galaxy weak lensing: compressed three-point correlations and cosmological forecasts
• Impact of Redshift Space Distortion on Persistent Homology of cosmic matter density field
• Cosmological parameters from the joint analysis of Density Split and Second Order Statistics: an Emulator based on the Halo Occupation Distribution
• Impact of weak-lensing mass-mapping algorithms on cosmology inference
• Fast Generation of Weak Lensing Maps in Modified Gravity with COLA
• A comparison of shrinkage estimators of the cosmological precision matrix
• On the evolution of Betti curves in the Cosmic web
• Non-linear infusion of intrinsic alignment and source clustering: impact on non-Gaussian cosmic shear statistics
• Self-similarity of the mass distribution in rich galaxy clusters up z~1 tracked with weak lensing
• Multi-scale weak lensing detection of galaxy clusters with source redshift tomography
• $\text{SBi3PCF:}$ Simulation-based inference with the integrated 3PCF
• Three-point intrinsic alignments of galaxies and haloes in the FLAMINGO simulations
• Towards an application of fourth-order shear statistics I. The information content of $⟨M_{\mathrm{ap}}^4⟩$
• Constraining cosmological parameters using density split lensing and the conditional stellar mass function