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## 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
decreases 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 Rs≳10h−1 Mpc. On smaller Rs, however, the deviation from the linear spectrum becomes significant on large scales (k≲R−1s)
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.

Original language | English |
---|---|

Journal | Physical Review D |

Volume | 96 |

Issue number | 4 |

DOIs | |

Publication status | Published - 16 Aug 2017 |

## Keywords

- astro-ph.CO
- RCUK
- STFC
- ST/N000668/1

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Dive into the research topics of 'Perturbation theory for BAO reconstructed fields: one-loop results in real-space matter density field'. Together they form a unique fingerprint.## Projects

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