Covariance of the redshift-space matter power spectrum after reconstruction

Abstract

We explore the covariance of redshift-space matter power spectra after a standard density-field reconstruction. We derive perturbative formula of the covariance at the tree-level order and find that the amplitude of the off-diagonal components from the trispectrum decreases by reconstruction. Using a large set of N-body simulations, we also find the similar reduction of the off-diagonal components of the covariance and thereby the signal-to-noise ratio (S/N) of the post-reconstructed (post-rec) power spectra significantly increases compared to the pre-reconstructed spectra. This indicates that the information leaking to higher-order statistics come back to the two-point statistics by reconstruction. Interestingly, the post-rec spectra have higher S/N than the linear spectrum with Gaussian covariance when the scale of reconstruction characterized with the smoothing scale of the shift field is below ~10Mpc/h where the trispectrum becomes negative. We demonstrate that the error of the growth rate estimated from the monopole and quadrupole components of the redshift-space matter power spectra significantly improves by reconstruction. We also find a similar improvement of the growth rate even when taking into account the super-sample covariance, while the reconstruction cannot correct for the field variation of the super-sample modes.

14 pages, 8 figures, accepted for publications in Phys. Rev. D

References in corpus (25)

• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Why your model parameter confidences might be too optimistic -- unbiased estimation of the inverse covariance matrix
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Transients from Initial Conditions in Cosmological Simulations
• The Effective Field Theory of Cosmological Large Scale Structures
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Cosmological Parameters from the BOSS Galaxy Power Spectrum
• The Quijote simulations
• The shape of the SDSS DR5 galaxy power spectrum
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Non-linear structure formation and the acoustic scale
• Reconstructing Baryon Oscillations: A Lagrangian Theory Perspective
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects
• Simulations of Baryon Oscillations
• Perturbative approach to covariance matrix of the matter power spectrum
• Matter Power Spectrum Covariance Matrix from the DEUS-PUR ΛCDM simulations: Mass Resolution and non-Gaussian Errors
• Testing general relativity with the multipole spectra of the SDSS luminous red galaxies
• Removable Matter-Power-Spectrum Covariance from Bias Fluctuations
• Perturbation theory for the redshift-space matter power spectra after reconstruction

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• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
• Extracting high-order cosmological information in galaxy surveys with power spectra
• Bayesian Control Variates for optimal covariance estimation with pairs of simulations and surrogates
• Modelling the covariance matrix for the power spectra before and after the BAO reconstruction