Nonlinear evolution of baryon acoustic oscillations

By Martín Crocce, R. Scoccimarro. 2007

403 citations recorded by the source corpus.

We study the nonlinear evolution of baryon acoustic oscillations in the dark matter power spectrum and the correlation function using renormalized perturbation theory. In a previous paper we showed that renormalized perturbation theory successfully predicts the damping of acoustic oscillations; here we extend our calculation to the enhancement of power due to mode coupling. We show that mode coupling generates additional oscillations that are out of phase with those in the linear spectrum, leading to shifts in the scales of oscillation nodes defined with respect to a smooth spectrum. When Fourier transformed, these out-of-phase oscillations induce percent-level shifts in the acoustic peak of the two-point correlation function. We present predictions for these shifts as a function of redshift; these should be considered as a robust lower limit to the more realistic case that includes, in addition, redshift distortions and galaxy bias. We show that these nonlinear effects occur at very large scales, leading to a breakdown of linear theory at scales much larger than commonly thought. We discuss why virialized halo profiles are not responsible for these effects, which can be understood from basic physics of gravitational instability. Our results are in excellent agreement with numerical simulations, and can bemore » used as a starting point for modeling baryon acoustic oscillations in future observations. To meet this end, we suggest a simple physically motivated model to correct for the shifts caused by mode coupling.« less

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/4db8a53359e3fdc00076a51f2ecf6c7e0d144a8d

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Citations in the corpus

Towards an accurate model of the redshift-space clustering of haloes in the quasi-linear regime (2011, background): “Going beyond linear theory perturbatively introduces extra “mode coupling” terms, some of which can be resummed into a µ-dependent damping (Bharadwaj 1996; Eisenstein, Seo & White 2007; Crocce & Scoccimarro 2008; Matsubara 2008a,b; Taruya, Nishimichi & Saito 2010).”
Multipoint propagators in cosmological gravitational instability (2008, methodology): “As shown in previous studies, the behavior of this correlator at large-k is of crucial importance and provides us with solid ground for the expansion of the correlation functions of interest [6].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “It is well-known that treating them perturbatively leads to significant errors in the description of the BAO peak [42–44], even though their effect on the broadband part of the correlation function (or the power spectrum) remains under perturbative control.”
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the correlation function of LOWZ and CMASS galaxies in Data Release 12 (2015, background): “From perturbation theory (Crocce & Scoccimarro 2008; Padmanabhan & White 2009) and simulations (Padmanabhan & White 2009; Seo et al. 2010), we expect shifts in the clustering of matter at 0.2–0.25 per cent at these redshifts.”
Dark Energy Survey Year 1 results: measurement of the baryon acoustic oscillation scale in the distribution of galaxies to redshift 1 (2017, background): “As detailed in, e.g. both Crocce & Scoccimarro (2008) and Padmanabhan & White (2009), a small positive bias is expected from non-linear structure growth, which could explain ∼0.003 worth of the bias and thus fully account for the w(θ ) results.”
Flowing with time: a new approach to non-linear cosmological perturbations (2008, methodology): “Strictly speaking, approaches such as [13, 14, 15] are exact only in the Einstein-deSitter case (ΩM = 1), in which the matrix Ω(k, η)”
Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation (2016, methodology): “Finally, one can stick to the Eulerian picture and try to identify the physical contributions of the bulk flows with the idea to resum the latter at all orders in perturbation theory [8, 9, 18].”
The clustering of galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: constraints on primordial non-Gaussianity (2012, neutral): “We also include the effects of coupling between low and high k modes (see, e.g., Crocce & Scoccimarro 2008; Sánchez et al. 2008) via ξ(r) = ξlin,d(r) +Amcξ (1) lin(r)ξ ′ lin(r), (C2) where ξ′lin is the derivative of ξlin and ξ (1) lin ≡ 1 2π2 ∫ PM (k)j1(kr)kdk. (C3) Given ξ(r), one can calculate…”
Clustering of luminous red galaxies – IV. Baryon acoustic peak in the line-of-sight direction and a direct measurement of H(z) (2008, methodology): “Our model is essentially linear theory, but includes non-linear effects according to re-normalized perturbation theory (RPT) at the BAO peak, as described in Crocce & Scoccimarro (2008).”
The MICE Grand Challenge lightcone simulation – II. Halo and galaxy catalogues (2013, methodology): “The black dashed line corresponds to the measured DM clustering, which on these scales agrees with perturbation theory predictions (RPT; Crocce & Scoccimarro 2008) and numerical fits (Takahashi et al. 2012; Heitmann et al. 2014) to 2 per cent or better, see Paper I.”
The bispectrum in the Effective Field Theory of Large Scale Structure (2014, methodology): “[17–20]), we use already the time integrated kernels as vertices.”
A new analysis of galaxy 2-point functions in the BOSS survey, including full-shape information and post-reconstruction BAO (2021, background): “However, the process of nonlinear structure formation leads to a slight wrinkle in this picture: nonlinearities, particular due to bulk displacements of galaxies on large scales, tend to dampen and shift the BAO signal [8, 9].”
First results from the IllustrisTNG simulations: matter and galaxy clustering (2017, background): “21, but this effect can be relatively well understood for the DM density field based on renormalized perturbation theory (Crocce & Scoccimarro 2008).”