Perturbation theory approach for the power spectrum: from dark matter in real space to massive haloes in redshift space

Abstract

We investigate the accuracy of Eulerian perturbation theory for describing the matter and galaxy power spectra in real and redshift space in light of future observational probes for precision cosmology. Comparing the analytical results with a large suite of N-body simulations (160 independent boxes of 13.8 (Gpc/h)^3 volume each, which are publicly available), we find that re-summing terms in the standard perturbative approach predicts the real-space matter power spectrum with an accuracy of < 2% for k < 0.20 h/Mpc at redshifts z < 1.5. This is obtained following the widespread technique of writing the resummed propagator in terms of 1-loop contributions. We show that the accuracy of this scheme increases by considering higher-order terms in the resummed propagator. By combining resummed perturbation theories with several models for the mappings from real to redshift space discussed in the literature, the multipoles of the dark-matter power spectrum can be described with sub-percent deviations from N-body results for k < 0.15h/Mpc at z < 1. As a consequence, the logarithmic growth rate, f, can be recovered with sub-percent accuracy on these scales. Extending the models to massive dark-matter haloes in redshift space, our results describe the monopole term from N-body data within 2% accuracy for scales k < 0.15 h/Mpc at z < 0.5; here f can be recovered within < 5% when the halo bias is known. We conclude that these techniques are suitable to extract cosmological information from future galaxy surveys.

33 pages, 11 figures. Published in JCAP

References in corpus (10)

• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• A critical look at cosmological perturbation theory techniques
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
• Modelling redshift space distortions in hierarchical cosmologies
• Perturbation Theory Reloaded II: Non-linear Bias, Baryon Acoustic Oscillations and Millennium Simulation In Real Space
• Systematic Effects on Determination of the Growth Factor from Redshift-space Distortions
• Reducing sample variance: halo biasing, non-linearity and stochasticity

Cited by in corpus (12)

• Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release
• The Redshift-Space Cluster-Galaxy Cross-Correlation Function: I. Modeling Galaxy Infall onto Millennium Simulation Clusters and SDSS Groups
• Dark matter and halo bispectrum in redshift space: theory and applications
• Cosmological constraints from the BOSS DR12 void size function
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• Power Spectrum Precision for Redshift Space Distortions
• Mass bias and cosmological constraints from Planck cluster clustering
• Dynamics of pairwise motions in the fully non-linear regime in LCDM and Modified Gravity cosmologies
• How to optimally combine pre-reconstruction full shape and post-reconstruction BAO signals
• Lagrangian-space Gaussian ansatz for the matter redshift-space power spectrum and correlation function
• J-PAS: forecast on the primordial power spectrum reconstruction