Baryon acoustic signature in the clustering of density maxima

Abstract

We reexamine the two-point correlation of density maxima in Gaussian initial conditions. Spatial derivatives of the linear density correlation, which were ignored in the calculation of Bardeen, Bond, Kaiser & Szalay (1986), are included in our analysis. These functions exhibit large oscillations around the sound horizon scale for generic CDM power spectra. We derive the exact leading-order expression for the correlation of density peaks and demonstrate the contribution of those spatial derivatives. In particular, we show that these functions can modify significantly the baryon acoustic signature of density maxima relative to that of the linear density field. The effect depends upon the exact value of the peak height, the filter shape and size, and the small-scale behaviour of the transfer function. In the LambdaCDM cosmology, for maxima identified in the density field smoothed at mass scale M\approx 10^{12}-10^{14}M_sun/h and with linear threshold height ν=1.673/σ(M), the contrast of the BAO can be a few tens of percent larger than in the linear matter correlation. Overall, the BAO is amplified (damped) for threshold heights larger (less) than unity. Density maxima thus behave quite differently than linearly biased tracers of the density field, whose acoustic signature is a simple scaled version of the linear baryon acoustic oscillation. We also calculate the mean streaming of peak pairs in the quasi-linear regime. We show that the leading-order 2-point correlation and pairwise velocity of density peaks are consistent with a nonlinear, local biasing relation involving gradients of the density field. Biasing will be an important issue in ascertaining how much of the enhancement of the BAO in the primeval correlation of density maxima propagates into the late-time clustering of galaxies.

19 pages, 8 figures. minor corrections. In press in PRD

References in corpus (26)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• The halo mass function from the dark ages through the present day
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• The Halo Mass Function: High-Redshift Evolution and Universality
• Large-Scale Anisotropic Correlation Function of SDSS Luminous Red Galaxies
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Cosmological baryonic and matter densities from 600,000 SDSS Luminous Red Galaxies with photometric redshifts
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• Measuring the matter density using baryon oscillations in the SDSS
• Constraining Anisotropic Baryon Oscillations
• Cosmic Calibration
• Anisotropic Magnification Distortion of the 3D Galaxy Correlation: I. Real Space
• Simulations of Baryon Oscillations
• Environmental dependence in the ellipsoidal collapse model
• Baryonic Acoustic Oscillations via the Renormalization Group
• Systematic effects in the sound horizon scale measurements
• Anisotropic Magnification Distortion of the 3D Galaxy Correlation: II. Fourier and Redshift Space
• Lensing Corrections to Features in the Angular Two-Point Correlation Function and Power Spectrum
• Weak Lensing of Baryon Acoustic Oscillations
• Statistical properties of the linear tidal shear

Cited by in corpus (33)

• Understanding higher-order nonlocal halo bias at large scales by combining the power spectrum with the bispectrum
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• The Gaussian streaming model and Lagrangian effective field theory
• Large-Scale Clustering of Cosmic Voids
• Cosmological Forecasts for Combined and Next Generation Peculiar Velocity Surveys
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Primordial non-Gaussianity in the large scale structure of the Universe
• Cosmological parameters from the likelihood analysis of the galaxy power spectrum and bispectrum in real space
• Testing one-loop galaxy bias: Power spectrum
• Non-local halo bias with and without massive neutrinos
• Cosmology inference at the field level from biased tracers in redshift-space
• Halo Sampling, Local Bias and Loop Corrections
• COMET: Clustering Observables Modelled by Emulated perturbation Theory
• Sampling Artifact in Volume Weighted Velocity Measurement.--- II. Detection in simulations and comparison with theoretical modelling
• Determination of the large scale volume weighted halo velocity bias in simulations
• A new model for the full shape of the large-scale power spectrum
• Testing one-loop galaxy bias: cosmological constraints from the power spectrum
• Euclid preparation. XLI. Galaxy power spectrum modelling in real space
• Effects of biasing on the galaxy power spectrum at large scales
• The clustering of critical points in the evolving cosmic web
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• On the halo velocity bias
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space
• The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
• Non-perturbative halo clustering from cosmological density peaks
• Constrained simulations and excursion sets: understanding the risks and benefits of `genetically modified' haloes
• Linear theory and velocity correlations of clusters
• Constraining the optical depth of galaxies and velocity bias with cross-correlation between kinetic Sunyaev-Zeldovich effect and peculiar velocity field
• Clustering of the extreme: A theoretical description of weak lensing critical points power spectra in the mildly nonlinear regime
• The effect of massive neutrinos on the BAO peak
• Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation
• Euclid preparation. Full-shape modelling of 2-point and 3-point correlation functions in real space