Comparing approximate methods for mock catalogues and covariance matrices II: Power spectrum multipoles

Abstract

We study the accuracy of several approximate methods for gravitational dynamics in terms of halo power spectrum multipoles and their estimated covariance matrix. We propagate the differences in covariances into parameter constrains related to growth rate of structure, Alcock-Paczynski distortions and biasing. We consider seven methods in three broad categories: algorithms that solve for halo density evolution deterministically using Lagrangian trajectories (ICE-COLA, Pinocchio and PeakPatch), methods that rely on halo assignment schemes onto dark-matter overdensities calibrated with a target N-body run (Halogen, Patchy) and two standard assumptions about the full density PDF (Gaussian and Lognormal). We benchmark their performance against a set of three hundred N-body simulations, running similar sets of approximate simulations with matched initial conditions, for each method. We find that most methods reproduce the monopole to within $5\%$, while residuals for the quadrupole are sometimes larger and scale dependent. The variance of the multipoles is typically reproduced within $10\%$. Overall, we find that covariances built from approximate simulations yield errors on model parameters within $10\%$ of those from the N-body based covariance.

arXiv comment20 pages, 16 figures, replaced to match accepted MNRAS version. Results on parameter errors changed

References in corpus (61)

• The cosmological simulation code GADGET-2
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from SDSS and WMAP
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Populating a cluster of galaxies - I. Results at z=0
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• LSST Science Book, Version 2.0
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• The SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Overview and Early Data
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cosmic Shear
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• Measuring the cosmological constant with redshift surveys
• Interpreting large-scale redshift-space distortion measurements
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: a large sample of mock galaxy catalogues
• Gravity and Large-Scale Non-local Bias
• The Clustering of the SDSS Main Galaxy Sample II: Mock galaxy catalogues and a measurement of the growth of structure from Redshift Space Distortions at $z=0.15$
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• Power Spectrum Correlations Induced by Non-Linear Clustering
• The first-year shear catalog of the Subaru Hyper Suprime-Cam SSP Survey
• The MICE Grand Challenge Lightcone Simulation I: Dark matter clustering
• Accurate Estimators of Correlation Functions in Fourier Space
• FastPM: a new scheme for fast simulations of dark matter and halos
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• The VIMOS Public Extragalactic Redshift Survey (VIPERS): The growth of structures at $0.5<z<1.2$ from redshift-space distortions in the clustering of the PDR-2 final sample
• EZmocks: extending the Zel'dovich approximation to generate mock galaxy catalogues with accurate clustering statistics
• Mock galaxy catalogs using the quick particle mesh method
• Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
• Clustering of dark matter tracers: renormalizing the bias parameters
• An algorithm to build mock galaxy catalogues using MICE simulations
• Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
• Gaussian covariance matrices for anisotropic galaxy clustering measurements
• An accurate tool for the fast generation of dark matter halo catalogs
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• ICE-COLA: Towards fast and accurate synthetic galaxy catalogues optimizing a quasi $N$-body method
• The mass-Peak Patch algorithm for fast generation of deep all-sky dark matter halo catalogues and its N-Body validation
• Predicting the number, spatial distribution and merging history of dark matter haloes
• nIFTy Cosmology: Galaxy/halo mock catalogue comparison project on clustering statistics
• Comparing approximate methods for mock catalogues and covariance matrices I: correlation function
• Fast and accurate mock catalogue generation for low-mass galaxies
• Comparing approximate methods for mock catalogues and covariance matrices III: Bispectrum
• Improving fast generation of halo catalogs with higher-order Lagrangian perturbation theory
• Constraining the halo bispectrum in real and redshift space from perturbation theory and non-linear stochastic bias
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the low-redshift sample
• HALOGEN: A tool for fast generation of mock halo catalogues
• Baryon Acoustic Oscillations in 2D II: Redshift-space halo clustering in N-body simulations
• A Lightcone Catalogue from the Millennium-XXL Simulation
• Generating Log-normal Mock Catalog of Galaxies in Redshift Space
• Dark Energy Survey Year 1 Results: galaxy mock catalogues for BAO
• The Q Continuum Simulation: Harnessing the Power of GPU Accelerated Supercomputers
• ICE-COLA: fast simulations for weak lensing observables
• Testing approximate predictions of displacements of cosmological dark matter halos

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• Indra: a Public Computationally Accessible Suite of Cosmological $N$-body Simulations
• High-precision Monte-Carlo modelling of galaxy distribution
• Bayesian Control Variates for optimal covariance estimation with pairs of simulations and surrogates
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• Fast numerical method to generate halo catalogs in modified gravity (part I): second-order Lagrangian Perturbation Theory
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• Towards Accurate Modeling of Line-Intensity Mapping One-Point Statistics: Including Extended Profiles
• Baryon acoustic scale at $z_{\eff} = 0.166$ with the SDSS blue galaxies
• Cosmological inference including massive neutrinos from the matter power spectrum: biases induced by uncertainties in the covariance matrix
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• Faster cosmological analysis with power spectrum without simulations
• Euclid preparation. Simulating thousands of Euclid spectroscopic skies
• Information content in anisotropic cosmological fields: Impact of different multipole expansion scheme for galaxy density and ellipticity correlations
• The bias from hydrodynamic simulations: mapping baryon physics onto dark matter fields
• A comparison of shrinkage estimators of the cosmological precision matrix
• Modeling and measuring the anisotropic halo 3-point correlation function: a coordinated study
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• Improving cosmological covariance matrices with machine learning