Nonlinear reconstruction of redshift space distortions

Abstract

We apply nonlinear reconstruction to the dark matter density field in redshift space and solve for the nonlinear mapping from the initial Lagrangian position to the final redshift space position. The reconstructed anisotropic field inferred from the nonlinear displacement correlates with the linear initial conditions to much smaller scales than the redshift space density field. The number of linear modes in the density field is improved by a factor of 30-40 after reconstruction. We thus expect this reconstruction approach to substantially expand the cosmological information including baryon acoustic oscillations and redshift space distortions for dense low-redshift large scale structure surveys including for example SDSS main sample, DESI BGS, and 21 cm intensity mapping surveys.

18 pages, 21 figures, published version. The nonlinear reconstruction code is available at https://github.com/ColdThunder/NR-code

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• Biased tracer reconstruction with halo mass information
• Understanding the Reconstruction of the Biased Tracer
• Extracting high-order cosmological information in galaxy surveys with power spectra
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• Nonlinear Reconstruction of the Velocity Field
• Tests of Acoustic Scale Shifts in Halo-based Mock Galaxy Catalogues
• Cosmic Web & Caustic Skeleton: non-linear Constrained Realizations -- 2D case studies
• Modelling the covariance matrix for the power spectra before and after the BAO reconstruction
• Searching optimal scales for reconstructing cosmological initial conditions using convolutional neural networks