Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space

Abstract

We calculate the non-linear galaxy power spectrum in real space, including non-linear distortion of the Baryon Acoustic Oscillations, using the standard 3rd-order perturbation theory (PT). The calculation is based upon the assumption that the number density of galaxies is a local function of the underlying, non-linear density field. The galaxy bias is allowed to be both non-linear and stochastic. We show that the PT calculation agrees with the galaxy power spectrum estimated from the Millennium Simulation, in the weakly non-linear regime (defined by the matter power spectrum) at high redshifts, $1\le z\le 6$. We also show that, once 3 free parameters characterizing galaxy bias are marginalized over, the PT power spectrum fit to the Millennium Simulation data yields unbiased estimates of the distance scale, $D$, to within the statistical error. This distance scale corresponds to the angular diameter distance, $D_A(z)$, and the expansion rate, $H(z)$, in real galaxy surveys. Our results presented in this paper are still restricted to real space. The future work should include the effects of non-linear redshift space distortion. Nevertheless, our results indicate that non-linear galaxy bias in the weakly non-linear regime at high redshifts is reasonably under control.

arXiv comment26 pages, 23 figures. (v2) Accepted for publication in ApJ

References in corpus (63)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Galactic Stellar and Substellar Initial Mass Function
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The cosmological simulation code GADGET-2
• Dynamics of dark energy
• Simulating the joint evolution of quasars, galaxies and their large-scale distribution
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies
• Large scale bias and the peak background split
• The broken hierarchy of galaxy formation
• Baryonic Features in the Matter Transfer Function
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Halo Models of Large Scale Structure
• Hierarchical Galaxy Formation
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• GADGET: A code for collisionless and gasdynamical cosmological simulations
• The hierarchical formation of the brightest cluster galaxies
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Analytic model for galaxy and dark matter clustering
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Wilkinson Microwave Anisotropy Probe (WMAP) First Year Observations: TE Polarization
• What Shapes the Luminosity Function of Galaxies?
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
• Transients from Initial Conditions in Cosmological Simulations
• The Microwave Anisotropy Probe (MAP) Mission
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Biasing and Hierarchical Statistics in Large-scale Structure
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Measuring cosmological parameters with galaxy surveys
• Transients from Initial Conditions: A Perturbative Analysis
• Cosmology and the Bispectrum
• Correcting for the alias effect when measuring the power spectrum using FFT
• Second Order Power Spectrum and Nonlinear Evolution at High Redshift
• Baryonic Signatures in Large-Scale Structure
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• The time-evolution of bias
• Baryonic acoustic oscillations in simulated galaxy redshift surveys
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Large-scale bias in the Universe: bispectrum method
• Resumming Cosmic Perturbations
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Clustering of dark matter tracers: renormalizing the bias parameters
• The Bispectrum of IRAS Galaxies
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• Non-linear structure formation and the acoustic scale
• Dark matter clustering: a simple renormalization group approach
• The Cosmic Code Comparison Project
• The nonlinear redshift-space power spectrum of galaxies
• Cosmology with High-redshift Galaxy Survey: Neutrino Mass and Inflation
• Nonlinear Stochastic Biasing of Galaxies and Dark Halos in Cosmological Hydrodynamic Simulations
• Bispectrum and Nonlinear Biasing of Galaxies: Perturbation Analysis, Numerical Simulation and SDSS Galaxy Clustering
• Large-N expansions applied to gravitational clustering
• Simulations of Baryon Oscillations
• Simulations of Baryon Acoustic Oscillations I: Growth of Large-Scale Density Fluctuations
• Dark Energy and Cosmic Sound: w(z) Surveys with the Gemini/Subaru Wide-Field Multi-Object Spectrograph

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• Perturbation theory for nonlinear halo power spectrum: the renormalized bias and halo bias
• Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum
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• The Breakdown Scale of HI Bias Linearity
• Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level
• Simulating the Anisotropic Clustering of Luminous Red Galaxies with Subhalos: A Direct Confrontation with Observation and Cosmological Implications
• Detecting baryon acoustic oscillations by 3d weak lensing
• Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor
• Coherent Combination of Baryon Acoustic Oscillation Statistics and Peculiar Velocity Measurements from Redshift Survey
• An Application of Wiener Hermite Expansion to Non-linear Evolution of Dark Matter
• Fast Calculation of Nonlinear Redshift-space Galaxy Power Spectrum Including Selection Bias
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• Infrared divergence of pure Einstein gravity contributions to cosmological density power spectrum
• More than just halo mass: Modelling how the red galaxy fraction depends on multiscale density in a HOD framework
• 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
• Direct Determination of Expansion History Using Redshift Distortions
• Improved renormalization group computation of likelihood functions for cosmological data sets