Modelling the covariance matrix for the power spectra before and after the BAO reconstruction

Abstract

The baryon acoustic oscillation (BAO) reconstruction plays a crucial role in cosmological analysis for spectroscopic galaxy surveys because it can make the density field effectively more linear and more Gaussian. The combination of the power spectra before and after the BAO reconstruction helps break degeneracies among parameters, then improve the constraints on cosmological parameters. It is therefore important to estimate the covariance matrix between pre- and post-reconstructed power spectra. In this work, we use perturbation theory to estimate the covariance matrix of the related power spectra multipoles, and check the accuracy of the derived covariance model using a large suite of dark matter halo catalogs at $z=0.5$. We find that the diagonal part of the auto covariance is well described by the Gaussian prediction, while the cross covariance deviates from the Gaussian prediction quickly when $k>0.1h{\mathrm{Mpc}}^{-1}$. Additionally, we find the non-Gaussian effect in the non-diagonal part of the cross covariance is comparable to, or even stronger than the pre-reconstruction covariance. By adding the non-Gaussian contribution, we obtain good agreement between analytical and numerical covariance matrices in the non-diagonal part up to $k\simeq 0.15h{\mathrm{Mpc}}^{-1}$. The agreement in the diagonal part is also improved, but still under-predicts the correlation in the cross covariance block.

arXiv comment24 pages, 10 figures. Published

References in corpus (64)

• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
• Power Spectrum Analysis of Three-Dimensional Redshift Surveys
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• A measurement of the cosmological mass density from clustering in the 2dF Galaxy Redshift Survey
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Renormalized Cosmological Perturbation Theory
• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the power spectrum and bispectrum of the DR12 BOSS galaxies
• The Quijote simulations
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: mock galaxy catalogues for the BOSS Final Data Release
• Power Spectrum Super-Sample Covariance
• Correcting for the alias effect when measuring the power spectrum using FFT
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• Power Spectrum Correlations Induced by Non-Linear Clustering
• Accurate Estimators of Correlation Functions in Fourier Space
• FastPM: a new scheme for fast simulations of dark matter and halos
• A Lagrangian effective field theory
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• The Growth of Correlations in the Matter Power Spectrum
• The High Latitude Spectroscopic Survey on the Nancy Grace Roman Space Telescope
• The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: 1000 multi-tracer mock catalogues with redshift evolution and systematics for galaxies and quasars of the final data release
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Cosmological constraints from BOSS with analytic covariance matrices
• Assessment of the Information Content of the Power Spectrum and Bispectrum
• Reconstruction within the Zeldovich approximation
• An optimal FFT-based anisotropic power spectrum estimator
• The Galaxy Power Spectrum and Bispectrum in Redshift Space
• Eulerian BAO Reconstructions and N-Point Statistics
• A complete FFT-based decomposition formalism for the redshift-space bispectrum
• Modeling the reconstructed BAO in Fourier space
• Non-Gaussian Covariance of the Matter Power Spectrum in the Effective Field Theory of Large Scale Structure
• Covariance of cross-correlations: towards efficient measures for large-scale structure
• Bias Loop Corrections to the Galaxy Bispectrum
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• A Detection of the Baryon Acoustic Oscillation Features in the SDSS BOSS DR12 Galaxy Bispectrum
• Thinking Outside the Box: Effects of Modes Larger than the Survey on Matter Power Spectrum Covariance
• Perturbation theory approach to predict the covariance matrices of the galaxy power spectrum and bispectrum in redshift space
• Perturbative approach to covariance matrix of the matter power spectrum
• Joint analysis of anisotropic power spectrum, bispectrum and trispectrum: application to N-body simulations
• The Reconstructed Power Spectrum in the Zeldovich Approximation
• RascalC: A Jackknife Approach to Estimating Single and Multi-Tracer Galaxy Covariance Matrices
• Constraining Primordial Non-Gaussianity with Post-reconstructed Galaxy Bispectrum in Redshift Space
• Perturbation Theory for BAO reconstructed fields: one-loop results in real-space matter density field
• Nonlinear reconstruction of redshift space distortions
• Validation of semi-analytical, semi-empirical covariance matrices for two-point correlation function for Early DESI data
• Perturbation theory for the redshift-space matter power spectra after reconstruction
• Covariance of the redshift-space matter power spectrum after reconstruction
• Improving constraints on primordial non-Gaussianity using neural network based reconstruction
• Cosmology before noon with multiple galaxy populations
• Extracting high-order cosmological information in galaxy surveys with power spectra
• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
• Modeling iterative reconstruction and displacement field in the large scale structure
• First test of the consistency relation for the large-scale structure using the anisotropic three-point correlation function of BOSS DR12 galaxies (An explanatory video is available at https://youtu.be/Zi36ooLPhss.)
• GEO-FPT: a model of the galaxy bispectrum at mildly non-linear scales
• Triumvirate: A Python/C++ package for three-point clustering measurements