Moving around the cosmological parameter space: a nonlinear power spectrum reconstruction based on high-resolution cosmic responses

Abstract

We present numerical measurements of the power spectrum response function of the gravitational growth of cosmic structures, defined as the functional derivative of the nonlinear spectrum with respect to the linear counterpart, based on $1,400$ cosmological simulations. We develop a simple analytical model based on a regularization of the standard perturbative calculation. Using the model prediction, we show that this function gives a natural way to interpolate the nonlinear power spectrum over cosmological parameter space from single or multi-step interpolations. We demonstrate that once an accurate numerical spectrum template is available for one (or a small number of) cosmological model(s), it doubles the range in $k$ for which percent level accuracy can be obtained even for large change in the cosmological parameters. The python package RESPRESSO we developed to make those predictions is publicly available.

27 pages, 21 figures, additional simulation results presented, a minor update in the RESPRESSO code (available at http://www-utap.phys.s.u-tokyo.ac.jp/~nishimichi/public_codes/respresso/index.html)

References in corpus (40)

• Planck 2015 results. XIII. Cosmological parameters
• The cosmological simulation code GADGET-2
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Efficient Computation of CMB anisotropies in closed FRW models
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Transients from Initial Conditions in Cosmological Simulations
• Cosmological Non-Linearities as an Effective Fluid
• The Effective Field Theory of Cosmological Large Scale Structures
• Renormalized Cosmological Perturbation Theory
• CFHTLenS: Combined probe cosmological model comparison using 2D weak gravitational lensing
• Transients from Initial Conditions: A Perturbative Analysis
• The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
• The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• Accurate Estimators of Correlation Functions in Fourier Space
• The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
• Cosmological $N$-body simulations with suppressed variance
• RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order
• Multi-Point Propagators in Cosmological Gravitational Instability
• Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure
• Combining perturbation theories with halo models
• The Effective Field Theory of Large Scale Structure at Two Loops: the apparent scale dependence of the speed of sound
• The Mira-Titan Universe II: Matter Power Spectrum Emulation
• Modeling Nonlinear Evolution of Baryon Acoustic Oscillations: Convergence Regime of N-body Simulations and Analytic Models
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Constructing Regularized Cosmic Propagators
• Improving Initial Conditions for Cosmological $N$-Body Simulations
• On the non-linear scale of cosmological perturbation theory
• Cosmology from large scale galaxy clustering and galaxy-galaxy lensing with Dark Energy Survey Science Verification data
• Resummed propagators in multi-component cosmic fluids with the eikonal approximation
• Perturbative approach to covariance matrix of the matter power spectrum
• Response function of the large-scale structure of the universe to the small scale inhomogeneities
• Power spectra in the eikonal approximation with adiabatic and non-adiabatic modes
• Post-collapse perturbation theory in 1D cosmology -- beyond shell-crossing
• Spherical collapse, formation hysteresis and the deeply non-linear cosmological power spectrum
• Cosmic propagators at two-loop order
• Ringing the initial Universe: the response of overdensity and transformed-density power spectra to initial spikes

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