A Robust BAO Extractor

Abstract

We define a procedure to extract the oscillating part of a given nonlinear Power Spectrum, and derive an equation describing its evolution including the leading effects at all scales. The intermediate scales are taken into account by standard perturbation theory, the long range (IR) displacements are included by using consistency relations, and the effect of small (UV) scales is included via effective coefficients computed in simulations. We show that the UV effects are irrelevant in the evolution of the oscillating part, while they play a crucial role in reproducing the smooth component. Our "extractor" operator can be applied to simulations and real data in order to extract the Baryonic Acoustic Oscillations (BAO) without any fitting function and nuisance parameter. We conclude that the nonlinear evolution of BAO can be accurately reproduced at all scales down to $z=0$ by our fast analytical method, without any need of extra parameters fitted from simulations.

arXiv commentPublished version, 20 pages, 8 figures

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• Structure formation beyond shell-crossing: nonperturbative expansions and late-time attractors
• The effects of massive neutrinos on the linear point of the correlation function
• Barry and the BAO Model Comparison
• Asymptotic expansions for the Large Scale Structure
• Detecting Baryon Acoustic Oscillations in Dark Matter from Kinematic Weak Lensing Surveys
• Projection of the gravitational dynamics on a subspace of probability distributions: curl-free Gaussian ansatz
• The Large Scale Structure Bootstrap: perturbation theory and bias expansion from symmetries