Nonlinear corrections to the cosmological matter power spectrum and scale-dependent galaxy bias: implications for parameter estimation

Abstract

We explore and compare the performances of two nonlinear correction and scale-dependent biasing models for the extraction of cosmological information from galaxy power spectrum data, especially in the context of beyond-LCDM cosmologies. The first model is the well known Q model, first applied in the analysis of 2dFGRS data. The second, the P model, is inspired by the halo model, in which nonlinear evolution and scale-dependent biasing are encapsulated in a single non-Poisson shot noise term. We find that while both models perform equally well in providing adequate correction for a range of galaxy clustering data in standard LCDM cosmology and in extensions with massive neutrinos, the Q model can give unphysical results in cosmologies containing a subdominant free-streaming dark matter whose temperature depends on the particle mass, e.g., relic thermal axions, unless a suitable prior is imposed on the correction parameter. This last case also exposes the danger of analytic marginalisation, a technique sometimes used in the marginalisation of nuisance parameters. In contrast, the P model suffers no undesirable effects, and is the recommended nonlinear correction model also because of its physical transparency.

21 pages, 8 figures, uses iopart.cls; v2: 22 pages, matches published version

References in corpus (46)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Cosmological parameters from SDSS and WMAP
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Halo Models of Large Scale Structure
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• 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
• Massive neutrinos and cosmology
• Halo occupation numbers and galaxy bias
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Constraining Warm Dark Matter candidates including sterile neutrinos and light gravitinos with WMAP and the Lyman-alpha forest
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Astrophysical Axion Bounds
• The Nature of Galaxy Bias and Clustering
• Nonlinear Evolution of Baryon Acoustic Oscillations
• Weighing Neutrinos with Galaxy Surveys
• Deriving the Nonlinear Cosmological Power Spectrum and Bispectrum from Analytic Dark Matter Halo Profiles and Mass Functions
• The shape of the SDSS DR5 galaxy power spectrum
• A Measurement of the CMB <EE> Spectrum from the 2003 Flight of BOOMERANG
• The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
• A Measurement of the Angular Power Spectrum of the CMB Temperature Anisotropy from the 2003 Flight of Boomerang
• Clustering of dark matter tracers: renormalizing the bias parameters
• Inflation and WMAP three year data: Features have a Future!
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• A measurement of the polarization-temperature angular cross power spectrum of the Cosmic Microwave Background from the 2003 flight of BOOMERANG
• New cosmological mass limit on thermal relic axions
• New Constraints on Oscillations in the Primordial Spectrum of Inflationary Perturbations
• Cosmological mass limits on neutrinos, axions, and other light particles
• Redshift space bias and beta from the halo model
• Primordial Neutrinos
• The redshift space power spectrum in the halo model
• Observational bounds on the cosmic radiation density
• Time Evolution of Galaxy Formation and Bias in Cosmological Simulations
• Simulations of Baryon Oscillations
• An improved cosmological bound on the thermal axion mass
• The galaxy power spectrum: precision cosmology from large scale structure?
• Cosmological constraints on neutrino plus axion hot dark matter: Update after WMAP-5
• Cosmological constraints on neutrino plus axion hot dark matter
• Systematic effects in the sound horizon scale measurements
• Scale-dependent bias and the halo model
• The Galaxy Power Spectrum: 2dFGRS-SDSS tension?

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• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
• Neutrino Mass Ordering from Oscillations and Beyond: 2018 Status and Future Prospects
• Cosmological Constraints from a Combination of Galaxy Clustering and Lensing -- III. Application to SDSS Data
• Minimizing the stochasticity of halos in large-scale structure surveys
• Neutrino mass in cosmology: status and prospects
• Robust Neutrino Constraints by Combining Low Redshift Observations with the CMB
• Cosmological parameter constraints from SDSS luminous red galaxies: a new treatment of large-scale clustering
• Bayesian non-linear large scale structure inference of the Sloan Digital Sky Survey data release 7
• Measuring neutrino masses with a future galaxy survey
• No Evidence for Dark Energy Dynamics from a Global Analysis of Cosmological Data
• Cosmic Cartography of the Large-Scale Structure with Sloan Digital Sky Survey Data Release 6
• Scale Dependent Galaxy Bias in the SDSS as a function of Luminosity and Colour
• Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets
• Are cosmological neutrinos free-streaming?
• Detecting sterile neutrinos with KATRIN like experiments
• Cosmological constraints on a light non-thermal sterile neutrino
• How to generate a significant effective temperature for cold dark matter, from first principles
• Imaging Systematics and Clustering of DESI Main Targets
• Cross-Correlation of Planck CMB Lensing with DESI-Like LRGs
• Neutrino masses from clustering of red and blue galaxies: a test of astrophysical uncertainties
• The Cosmic Neutrino Background Anisotropy - Linear Theory
• Effects of biasing on the galaxy power spectrum at large scales
• Path Integral Marginalization for Cosmology: Scale Dependent Galaxy Bias & Intrinsic Alignments
• Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor