MPTbreeze: A fast renormalized perturbative scheme

Abstract

We put forward and test a simple description of multi-point propagators (MP), which serve as building-blocks to calculate the nonlinear matter power spectrum. On large scales these propagators reduce to the well-known kernels in standard perturbation theory, while at smaller scales they are suppresed due to nonlinear couplings. Through extensive testing with numerical simulations we find that this decay is characterized by the same damping scale for both two and three-point propagators. In turn this transition can be well modeled with resummation results that exponentiate one-loop computations. For the first time, we measure the four components of the non-linear (two-point) propagator using dedicated simulations started from two independent random Gaussian fields for positions and velocities, verifying in detail the fundamentals of propagator resummation. We use these results to develop an implementation of the MP-expansion for the nonlinear power spectrum that only requires seconds to evaluate at BAO scales. To test it we construct six suites of large numerical simulations with different cosmologies. From these and LasDamas runs we show that the nonlinear power spectrum can be described at the ~ 2% level at BAO scales for redshifts in the range [0-2.5]. We make a public release of the MPTbreeze code with the hope that it can be useful to the community.

16 pages, 10 figures. Accepted for publication in MNRAS (minor comments included to match accepted version). Public code available at http://maia.ice.cat/crocce/mptbreeze/

References in corpus (16)

• Transients from Initial Conditions in Cosmological Simulations
• The Effective Field Theory of Cosmological Large Scale Structures
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• Multi-Point Propagators in Cosmological Gravitational Instability
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Large-N expansions applied to gravitational clustering
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Multi-Point Propagators for Non-Gaussian Initial Conditions
• Using the Zeldovich dynamics to test expansion schemes
• Propagators in Lagrangian space

Cited by in corpus (59)

• The Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the configuration-space clustering wedges
• Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum
• The MICE Grand Challenge Lightcone Simulation II: Halo and Galaxy catalogues
• FAST-PT: a novel algorithm to calculate convolution integrals in cosmological perturbation theory
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Cosmological implications of the Fourier space wedges of the final sample
• KiDS-1000 Methodology: Modelling and inference for joint weak gravitational lensing and spectroscopic galaxy clustering analysis
• Cosmological information in the redshift-space bispectrum
• The 6dF Galaxy Velocity Survey: Cosmological constraints from the velocity power spectrum
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological constraints from the full shape of the clustering wedges
• Bias Loop Corrections to the Galaxy Bispectrum
• Galaxy Bispectrum from Massive Spinning Particles
• Near optimal bispectrum estimators for large-scale structure
• Fast and accurate mock catalogue generation for low-mass galaxies
• CosmoBolognaLib: C++ libraries for cosmological calculations
• A Perturbative Approach to the Redshift Space Power Spectrum: Beyond the Standard Model
• Precision modeling of redshift-space distortions from multi-point propagator expansion
• Inverted initial conditions: exploring the growth of cosmic structure and voids
• Improving constraints on the growth rate of structure by modelling the density-velocity cross-correlation in the 6dF Galaxy Survey
• Towards Precision Constraints on Gravity with the Effective Field Theory of Large-Scale Structure
• Cosmic shear full nulling: sorting out dynamics, geometry and systematics
• Euclid: impact of nonlinear prescriptions on cosmological parameter estimation from weak lensing cosmic shear
• GridSPT: Grid-based calculation for perturbation theory of large-scale structure
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Probing gravity with a joint analysis of galaxy and CMB lensing and SDSS spectroscopy
• Accurate fitting functions for peculiar velocity spectra in standard and massive-neutrino cosmologies
• FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
• Joint growth rate measurements from redshift-space distortions and peculiar velocities in the 6dF Galaxy Survey
• Regularized cosmological power spectrum and correlation function in modified gravity models
• Beyond consistency test of gravity with redshift-space distortions at quasi-linear scales
• Statistics of cosmic density profiles from perturbation theory
• Angular averaged consistency relations of large-scale structures
• Precision modelling of the matter power spectrum in a Planck-like Universe
• Post-collapse perturbation theory in 1D cosmology -- beyond shell-crossing
• Constructing perturbation theory kernels for large-scale structure in generalized cosmologies
• Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers
• Kinematic consistency relations of large-scale structures
• Theoretical Accuracy in Cosmological Growth Estimation
• The two and three-loop matter bispectrum in perturbation theories
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• Modelling Non-Linear Effects of Dark Energy
• Matter bispectrum of large-scale structure with Gaussian and non-Gaussian initial conditions: Halo models, perturbation theory, and a three-shape model
• Clustering tomography: measuring cosmological distances through angular clustering in thin redshift shells
• Simulating the Anisotropic Clustering of Luminous Red Galaxies with Subhalos: A Direct Confrontation with Observation and Cosmological Implications
• Using GAMA to probe the impact of small-scale galaxy physics on nonlinear redshift-space distortions
• Combining spectroscopic and photometric surveys using angular cross-correlations I: Algorithm and modelling
• Impact of tidal environment on galaxy clustering in GAMA
• Redshift-space equal-time angular-averaged consistency relations of the gravitational dynamics
• Renormalizing a Viscous Fluid Model for Large Scale Structure Formation
• Nonlinear stochastic growth rates and redshift space distortions
• Efficient implementation of the Time Renormalization Group
• Assessing theoretical uncertainties for cosmological constraints from weak lensing surveys
• Cosmological Perturbation Theory as a Tool for Estimating Box-Scale Effects in N-body Simulations
• The reach of next-to-leading-order perturbation theory for the matter bispectrum
• Estimating power spectrum of discrete cosmic momentum field with fast Fourier transform
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum
• On the Statistical Evolution of the Large-scale Structure and the Effective Dynamics