Perturbation Theory for BAO reconstructed fields: one-loop results in real-space matter density field

Abstract

We compute the power spectrum at one-loop order in standard perturbation theory for the matter density field to which a standard Lagrangian Baryonic acoustic oscillation (BAO) reconstruction technique is applied. The BAO reconstruction method corrects the bulk motion associated with the gravitational evolution using the inverse Zel'dovich approximation (ZA) for the smoothed density field. We find that the overall amplitude of one-loop contributions in the matter power spectrum substantially decrease after reconstruction. The reconstructed power spectrum thereby approaches the initial linear spectrum when the smoothed density field is close enough to linear, i.e., the smoothing scale $R_s$ larger than around 10$h^{-1}$Mpc. On smaller $R_s$,however, the deviation from the linear spectrum becomes significant on large scales ($k<R_s^{-1}$) due to the nonlinearity in the smoothed density field, and the reconstruction is inaccurate. Compared with N-body simulations, we show that the reconstructed power spectrum at one loop order agrees with simulations better than the unreconstructed power spectrum. We also calculate the tree-level bispectrum in standard perturbation theory to investigate non-Gaussianity in the reconstructed matter density field. We show that the amplitude of the bispectrum significantly decreases for small $k$ after reconstruction and that the tree-level bispectrum agrees well with N-body results in the weakly nonlinear regime.

18 pages, 7 figures, accepted for publications in PRD

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• DESI 2024 III: Baryon Acoustic Oscillations from Galaxies and Quasars
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
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• The Reconstructed Power Spectrum in the Zeldovich Approximation
• The Impact of Wrong Assumptions in BAO Reconstruction
• Constraining Primordial Non-Gaussianity with Post-reconstructed Galaxy Bispectrum in Redshift Space
• Nonlinear reconstruction of redshift space distortions
• Modeling features in the redshift-space halo power spectrum with perturbation theory
• Perturbation theory for the redshift-space matter power spectra after reconstruction
• Covariance of the redshift-space matter power spectrum after reconstruction
• A multitracer analysis for the eBOSS galaxy sample based on the effective field theory of large-scale structure
• Biased tracer reconstruction with halo mass information
• Modeling iterative reconstruction and displacement field in the large scale structure
• Reconstruction with velocities
• Modelling the covariance matrix for the power spectra before and after the BAO reconstruction
• Density perturbation in the models reconstructed from jerk parameter
• Perturbations In Some Dark Energy Models
• Iterative reconstruction excursions for Baryon Acoustic Oscillations and beyond