Modeling the clustering of dark-matter haloes in resummed perturbation theories

Abstract

We address the issue of the cosmological bias between matter and galaxy distributions, looking at dark-matter haloes as a first step to characterize galaxy clustering. Starting from the linear density field at high redshift, we follow the centre of mass trajectory of the material that will form each halo at late times (proto-halo). We adopt a fluid-like description for the evolution of perturbations in the proto-halo distribution, which is coupled to the matter density field via gravity. We present analytical solutions for the density and velocity fields, in the context of renormalized perturbation theory. We start from the linear solution, then compute one-loop corrections for the propagator and the power spectrum. Finally we analytically resum the propagator and we use a suitable extension of the time-renormalization-group method (Pietroni 2008) to resum the power spectrum. For halo masses M<10^{14} Msol/h our results at z=0 are in good agreement with N-body simulations. Our model is able to predict the halo-matter cross spectrum with an accuracy of 5 per cent up to k = 0.1 h/Mpc approaching the requirements of future galaxy redshift surveys.

15 pages, 9 figures. Accepted for publication in MNRAS

References in corpus (12)

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• Adhesive Gravitational Clustering
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• Multi-Point Propagators for Non-Gaussian Initial Conditions
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Cited by in corpus (26)

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• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• Convolution Lagrangian perturbation theory for biased tracers
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• MPTbreeze: A fast renormalized perturbative scheme
• Ward identities and consistency relations for the large scale structure with multiple species
• Forecasts on Primordial non-Gaussianity from 21 cm Intensity Mapping experiments
• The spatial and velocity bias of linear density peaks and proto-haloes in the Lambda cold dark matter cosmology
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space
• Non-local halo bias with and without massive neutrinos
• Velocity bias in the distribution of dark matter halos
• Large-scale structure perturbation theory without losing stream crossing
• Non-linear dark energy clustering
• Cosmological implications from the full shape of the large-scale power spectrum of the SDSS DR7 luminous red galaxies
• Resummed Perturbation Theory of Galaxy Clustering
• The cosmic web connection to the dark matter halo distribution through gravity
• On the halo velocity bias
• The bias of weighted dark matter halos from peak theory
• Two is better than one: joint statistics of density and velocity in concentric spheres as a cosmological probe
• The Halo Boltzmann Equation
• Halo Profile Evolution and Velocity Bias
• A model of the anisotropic correlation function xi(rp, pi) in redshift space including redshift errors
• Renormalization group computation of likelihood functions for cosmological data sets
• Improved renormalization group computation of likelihood functions for cosmological data sets