Implementing spectra response function approaches for fast calculation of power spectra and bispectra
arXiv:2107.04275 · doi:10.1103/PhysRevD.104.103501
Abstract
Perturbation theory of large-scale structures of the Universe at next-to-leading order and next-to-next-to-leading order provides us with predictions of cosmological statistics at sub-percent level in the mildly non-linear regime. Its use to infer cosmological parameters from spectroscopic surveys, however, is hampered by the computational cost of making predictions for a large number of parameters. In order to reduce the running time of the codes, we present a fast scheme in the context of the regularized perturbation theory approach and applied it to power spectra at 2-loop level and bispectra at 1-loop level, including the impact of binning. This method utilizes a Taylor expansion of the power spectrum as a functional of the linear power spectrum around fiducial points at which costly direct evaluation of perturbative diagrams is performed and tabulated. The computation of the predicted spectra for arbitrary cosmological parameters then requires only one-dimensional integrals that can be done within a few minutes. It makes this method suitable for Markov chain Monte-Carlo analyses for cosmological parameter inference.
arXiv comment32 pages, 21 figures, PRD in press
References in corpus (57)
- Planck 2015 results. XIII. Cosmological parameters
- Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
- The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
- 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
- Large-Scale Structure of the Universe and Cosmological Perturbation Theory
- Observational Probes of Cosmic Acceleration
- Revising the Halofit Model for the Nonlinear Matter Power Spectrum
- Cosmology and Fundamental Physics with the Euclid Satellite
- The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
- Cosmological implications of baryon acoustic oscillation (BAO) measurements
- Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
- Cosmological Non-Linearities as an Effective Fluid
- The Effective Field Theory of Cosmological Large Scale Structures
- Renormalized Cosmological Perturbation Theory
- The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
- Cosmological Parameters from the BOSS Galaxy Power Spectrum
- Baryon Acoustic Oscillations in 2D: Modeling Redshift-space Power Spectrum from Perturbation Theory
- An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
- The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
- The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
- The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic power spectrum between redshifts 0.6 and 1.0
- Uncorrelated Modes of the Nonlinear Power Spectrum
- The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
- Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
- The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
- Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
- RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order
- The Effective Field Theory of Large Scale Structures at Two Loops
- Multi-Point Propagators in Cosmological Gravitational Instability
- Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
- The Bispectrum in the Effective Field Theory of Large Scale Structure
- FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
- Non-linear Evolution of Baryon Acoustic Oscillations from Improved Perturbation Theory in Real and Redshift Spaces
- On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
- Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
- Cosmological perturbation theory at three-loop order
- Fast Large Scale Structure Perturbation Theory using 1D FFTs
- FAST-PT II: an algorithm to calculate convolution integrals of general tensor quantities in cosmological perturbation theory
- Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
- Precision modeling of redshift-space distortions from multi-point propagator expansion
- Resummed propagators in multi-component cosmic fluids with the eikonal approximation
- Fitting the nonlinear matter bispectrum by the Halofit approach
- On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
- Cosmic shear full nulling: sorting out dynamics, geometry and systematics
- Response function of the large-scale structure of the universe to the small scale inhomogeneities
- Overview of the Dark Energy Spectroscopic Instrument
- FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
- Testing one-loop galaxy bias: Power spectrum
- k-cut Cosmic Shear: Tunable Power Spectrum Sensitivity to Test Gravity
- Efficient exploration of cosmology dependence in the EFT of LSS
- Moving around the cosmological parameter space: a nonlinear power spectrum reconstruction based on high-resolution cosmic responses
- Perturbation theory challenge for cosmological parameters estimation: Matter power spectrum in real space
- The two and three-loop matter bispectrum in perturbation theories
- Galilean invariant resummation schemes of cosmological perturbations
- Power spectrum response of large-scale structure in 1D and in 3D: tests of prescriptions for post-collapse dynamics
- Fitting functions on the cheap: the relative nonlinear matter power spectrum