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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.
Original language | English |
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Number of pages | 14 |
Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
Volume | 102 |
Issue number | 8 |
Early online date | 9 Oct 2020 |
DOIs | |
Publication status | Published - 15 Oct 2020 |
Keywords
- RCUK
- STFC
- ST/S000550/1
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Data availability statement for 'Covariance of the redshift-space matter power spectrum after reconstruction'.
Hikage, C. (Creator), Takahashi, R. (Creator) & Koyama, K. (Creator), American Physical Society, 22 Sept 2020
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