On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies

Abstract

We introduce an emulator approach to predict the non-linear matter power spectrum for broad classes of beyond-$\Lambda$CDM cosmologies, using only a suite of $\Lambda$CDM $N$-body simulations. By including a range of suitably modified initial conditions in the simulations, and rescaling the resulting emulator predictions with analytical `halo model reactions', accurate non-linear matter power spectra for general extensions to the standard $\Lambda$CDM model can be calculated. We optimise the emulator design by substituting the simulation suite with non-linear predictions from the standard {\sc halofit} tool. We review the performance of the emulator for artificially generated departures from the standard cosmology as well as for theoretically motivated models, such as $f(R)$ gravity and massive neutrinos. For the majority of cosmologies we have tested, the emulator can reproduce the matter power spectrum with errors $\lesssim 1\%$ deep into the highly non-linear regime. This work demonstrates that with a well-designed suite of $\Lambda$CDM simulations, extensions to the standard cosmological model can be tested in the non-linear regime without any reliance on expensive beyond-$\Lambda$CDM simulations.

arXiv comment16 pages, 13 figures, accepted for publication in MNRAS

References in corpus (102)

• Scikit-learn: Machine Learning in Python
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Gaia Data Release 2. Summary of the contents and survey properties
• Efficient Computation of CMB anisotropies in closed FRW models
• Baryonic Features in the Matter Transfer Function
• Stable clustering, the halo model and nonlinear cosmological power spectra
• A 2.4% Determination of the Local Value of the Hubble Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Beyond the Cosmological Standard Model
• The Temperature of the Cosmic Microwave Background
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• The Hyper Suprime-Cam SSP Survey: Overview and Survey Design
• Massive neutrinos and cosmology
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Small Scale Cosmological Perturbations: An Analytic Approach
• Euclid Definition Study Report
• Relic neutrino decoupling including flavour oscillations
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cosmic Shear
• New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope: Implications for the Hubble Constant
• Neutrino oscillations refitted
• Dark Energy vs. Modified Gravity
• An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
• Dark Energy Survey Year 1 Results: Constraints on Extended Cosmological Models from Galaxy Clustering and Weak Lensing
• The DESI Experiment, a whitepaper for Snowmass 2013
• Massive Neutrinos and the Non-linear Matter Power Spectrum
• KiDS-450 + 2dFLenS: Cosmological parameter constraints from weak gravitational lensing tomography and overlapping redshift-space galaxy clustering
• The WiggleZ Dark Energy Survey: Final data release and cosmological results
• Does the Hubble constant tension call for new physics?
• Searching for modified growth patterns with tomographic surveys
• Symmetron Cosmology
• Galaxy And Mass Assembly (GAMA): the G02 field, Herschel-ATLAS target selection and Data Release 3
• ETHOS - An Effective Theory of Structure Formation: From dark particle physics to the matter distribution of the Universe
• KiDS+GAMA: Cosmology constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing and angular clustering
• 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
• A Model For Halo Formation With Axion Mixed Dark Matter
• Acoustic Signatures in the Cosmic Microwave Background
• Testing gravity with CAMB and CosmoMC
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: RSD measurement from the LOS-dependent power spectrum of DR12 BOSS galaxies
• A Unified Description of Screened Modified Gravity
• KiDS-450: Testing extensions to the standard cosmological model
• The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
• A fresh look at linear cosmological constraints on a decaying dark matter component
• Cosmological $N$-body simulations with suppressed variance
• Quantifying baryon effects on the matter power spectrum and the weak lensing shear correlation
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• Planck intermediate results. LI. Features in the cosmic microwave background temperature power spectrum and shifts in cosmological parameters
• hi_class: Horndeski in the Cosmic Linear Anisotropy Solving System
• Cosmology Constraints from the Weak Lensing Peak Counts and the Power Spectrum in CFHTLenS
• Anisotropic Power-law Inflation
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: structure growth rate measurement from the anisotropic quasar power spectrum in the redshift range $0.8<z<2.2$
• No-Go Theorems for Generalized Chameleon Field Theories
• Growth of Cosmic Structure: Probing Dark Energy Beyond Expansion
• New constraints on $f(R)$ gravity from clusters of galaxies
• The Mira-Titan Universe II: Matter Power Spectrum Emulation
• The Mira-Titan Universe: Precision Predictions for Dark Energy Surveys
• The Aemulus Project III: Emulation of the Galaxy Correlation Function
• The Aemulus Project II: Emulating the Halo Mass Function
• 3D Cosmic Shear: Cosmology from CFHTLenS
• On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
• Cosmic Calibration: Constraints from the Matter Power Spectrum and the Cosmic Microwave Background
• Accounting for baryonic effects in cosmic shear tomography: Determining a minimal set of nuisance parameters using PCA
• What can Cosmology tell us about Gravity? Constraining Horndeski with Sigma and Mu
• Testing chameleon gravity with the Coma cluster
• Non-linear Power Spectrum including Massive Neutrinos: the Time-RG Flow Approach
• The Abacus Cosmos: A Suite of Cosmological N-body Simulations
• Constraining chameleon models with cosmology
• Searching for Light Relics with Large-Scale Structure
• Cosmic Calibration
• A Unified Approach to Cosmic Acceleration
• AX-GADGET: a new code for cosmological simulations of Fuzzy Dark Matter and Axion models
• Generalized Brans-Dicke theories
• Future CMB tests of dark matter: ultra-light axions and massive neutrinos
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• Cosmological tests of General Relativity: a principal component analysis
• The impact of the observed baryon distribution in haloes on the total matter power spectrum
• Structure formation with massive neutrinos: going beyond linear theory
• Bayesian emulator optimisation for cosmology: application to the Lyman-alpha forest
• The halo model in a massive neutrino cosmology
• Impact on the power spectrum of Screening in Modified Gravity Scenarios
• Modeling the nonlinear clustering in modified gravity models I: A fitting formula for matter power spectrum of f(R) gravity
• Cosmic Emulation: The Concentration-Mass Relation for wCDM Universes
• Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
• The Effective Field Theory of Large-Scale Structure in the presence of Massive Neutrinos
• Lagrangian perturbation theory for modified gravity
• Testing deviations from $\Lambda$CDM with growth rate measurements from 6 Large Scale Structure Surveys at $\mathbf{z}=0.06$ to 1
• PkANN - I. Non-linear matter power spectrum interpolation through artificial neural networks
• Spherical collapse, formation hysteresis and the deeply non-linear cosmological power spectrum
• Preparing for the Cosmic Shear Data Flood: Optimal Data Extraction and Simulation Requirements for Stage IV Dark Energy Experiments
• Simulations and cosmological inference: A statistical model for power spectra means and covariances
• The impact of baryons on the sensitivity of dark energy measurements
• WarmAndFuzzy: the halo model beyond CDM
• Simulation techniques for modified gravity
• Fully relativistic treatment of decaying cold dark matter in $N$-body simulations
• Status of neutrino properties and future prospects - Cosmological and astrophysical constraints
• Using large scale structure data and a halo model to constrain Generalised Dark Matter
• Brans-Dicke Galileon and the Variational Principle
• Stress testing the dark energy equation of state imprint on supernova data
• Kinetic Field Theory applied to Vector-Tensor Gravity
• Massive neutrinos in nonlinear large scale structure: A consistent perturbation theory

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• COMET: Clustering Observables Modelled by Emulated perturbation Theory
• GLASS: Generator for Large Scale Structure
• Cosmological Constraints from the eBOSS Lyman-$\alpha$ Forest using the PRIYA Simulations
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• $\text{matryoshka}$ II: Accelerating Effective Field Theory Analyses of the Galaxy Power Spectrum
• Sesame: A power spectrum emulator pipeline for beyond-$\Lambda$CDM models
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• A Multi-Fidelity Emulator for the Lyman-$\alpha$ Forest Flux Power Spectrum
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• Constraining $f(R)$ Gravity with a $k$-cut Cosmic Shear Analysis of the Hyper Suprime-Cam First-Year Data
• On the degeneracies between baryons, massive neutrinos and f(R) gravity in Stage IV cosmic shear analyses
• ARTEMIS emulator: exploring the effect of cosmology and galaxy formation physics on Milky Way-mass haloes and their satellites
• Cosmology in the non-linear regime : the small scale miracle
• MF-Box: Multi-fidelity and multi-scale emulation for the matter power spectrum
• Fitting functions on the cheap: the relative nonlinear matter power spectrum
• Assessing theoretical uncertainties for cosmological constraints from weak lensing surveys
• Principal Components for Model-Agnostic Modified Gravity with 3x2pt
• Implementing spectra response function approaches for fast calculation of power spectra and bispectra
• Hybrid $P_{\ell }(k)$: general, unified, non-linear matter power spectrum in redshift space
• A simple prediction of the nonlinear matter power spectrum in Brans-Dicke gravity from linear theory