A new model for the full shape of the large-scale power spectrum

Abstract

We present a new model for the full shape of large-scale the power spectrum based on renormalized perturbation theory. To test the validity of this prescription, we compare this model against power spectra measured in a suite of 50 large volume, moderate resolution N-body simulations. Our results indicate that this simple model provides an accurate description of the full shape of the power spectrum taking into account the effects of non-linear evolution, redshift-space distortions and halo bias for scales k < 0.15 h/Mpc, making it a valuable tool for the analysis of forthcoming galaxy surveys. Even though its application is restricted to large scales, this prescription can provide tighter constraints on the dark energy equation of state parameter w_{DE} than those obtained by modelling the baryonic acoustic oscillations signal only, where the information of the broad-band shape of the power spectrum is discarded. Our model is able to provide constraints comparable to those obtained by applying a similar model to the full shape of the correlation function, which is affected by different systematics. Hence, with accurate modelling of the power spectrum, the same cosmological information can be extracted from both statistics.

arXiv commentAccepted for publication in MNRAS

References in corpus (69)

• 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
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Exploring the Expansion History of the Universe
• 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
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• The 3D power spectrum of galaxies from the SDSS
• Mass function of dark matter halos
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Power Spectra for Cold Dark Matter and its Variants
• 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
• Redshift-Space Distortions, Pairwise Velocities and Nonlinearities
• Renormalized Cosmological Perturbation Theory
• Probing dark energy using baryonic oscillations in the galaxy power spectrum as a cosmological ruler
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Cosmic Background Anisotropies in CDM Cosmology
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Thick gas discs in faint dwarf galaxies
• Parameter constraints for flat cosmologies from CMB and 2dFGRS power spectra
• Improved forecasts for the baryon acoustic oscillations and cosmological distance scale
• Memory of Initial Conditions in Gravitational Clustering
• Evidence for a non-zero Lambda and a low matter density from a combined analysis of the 2dF Galaxy Redshift Survey and Cosmic Microwave Background Anisotropies
• Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
• Correcting for the alias effect when measuring the power spectrum using FFT
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• The Baryonic Acoustic Feature and Large-Scale Clustering in the SDSS LRG Sample
• Redshifting Rings of Power
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Cosmological parameters from CMB measurements and the final 2dFGRS power spectrum
• Perturbation Theory Reloaded: Analytical Calculation of Non-linearity in Baryonic Oscillations in the Real Space Matter Power Spectrum
• Resumming Cosmic Perturbations
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Clustering of dark matter tracers: renormalizing the bias parameters
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Correlation Function in Deep Redshift Space as a Cosmological Probe
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• Non-linear structure formation and the acoustic scale
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
• Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering
• Clustering of luminous red galaxies I: large scale redshift space distortions
• Dark matter clustering: a simple renormalization group approach
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Baryon acoustic signature in the clustering of density maxima
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• Bispectrum and Nonlinear Biasing of Galaxies: Perturbation Analysis, Numerical Simulation and SDSS Galaxy Clustering
• On the Distribution of Haloes, Galaxies and Mass
• Simulations of Baryon Oscillations
• Covariance of cross-correlations: towards efficient measures for large-scale structure
• SPACE: the SPectroscopic All-sky Cosmic Explorer
• Extracting Angular Diameter Distance and Expansion Rate of the Universe from Two-dimensional Galaxy Power Spectrum at High Redshifts: Baryon Acoustic Oscillation Fitting versus Full Modeling
• Baryonic Acoustic Oscillations via the Renormalization Group
• The galaxy power spectrum: precision cosmology from large scale structure?
• Constraints on the dark energy equation of state from the imprint of baryons on the power spectrum of clusters
• Impact of Scale Dependent Bias and Nonlinear Structure Growth on the ISW Effect: Angular Power Spectra
• Dark Energy Constraints from Baryon Acoustic Oscillations
• Systematic effects in the sound horizon scale measurements
• Luminous Red Galaxy Halo Density Field Reconstruction and Application to Large Scale Structure Measurements

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• Cosmology with massive neutrinos I: towards a realistic modeling of the relation between matter, haloes and galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
• The clustering of galaxies at z~0.5 in the SDSS-III Data Release 9 BOSS-CMASS sample: a test for the LCDM cosmology
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• The New Horizon Run Cosmological N-Body Simulations
• Galaxy redshift-space bispectrum: the Importance of Being Anisotropic
• Non-Gaussian Error Contribution to Likelihood Analysis of the Matter Power Spectrum
• The REFLEX II galaxy cluster survey: power spectrum analysis
• Modeling the clustering of dark-matter haloes in resummed perturbation theories
• The Gigaparsec WiggleZ Simulations: Characterising scale dependant bias and associated systematics in growth of structure measurements
• Cosmological implications from the full shape of the large-scale power spectrum of the SDSS DR7 luminous red galaxies
• Testing dark energy using pairs of galaxies in redshift space
• Self-Similar Bumps and Wiggles: Isolating the Evolution of the BAO Peak with Power-law Initial Conditions
• fkPT: Constraining scale-dependent modified gravity with the full-shape galaxy power spectrum
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