Lagrangian perturbation theory at one loop order: successes, failures, and improvements

Abstract

We apply the convolved Lagrangian perturbation theory (CLPT) formalism, in which one can express the matter density power spectrum in terms of integrals over a function of cumulants of the displacement field, allowing for a resummation of the terms, to evaluate the full one loop power spectrum. We keep the cumulants up to third order, extending the Zel'dovich approximation and providing the power spectrum analogous to the calculations recently performed for the correlation function. We compare the results to the N-body simulations and to the Lagrangian perturbation simulations up to the second order. We find that the analytic calculations are in a good agreement with the LPT simulations, but when compared to full N-body simulations, we find that while one loop calculations improve upon the Zel'dovich approximation in the power spectrum, they still significantly lack power. As found previously in the correlation function one loop CLPT improves slightly against Zel'dovich above 30Mpc/h, but is actually worse than Zel'dovich below that. We investigate the deficiencies of the CLPT approach and argue that main problem of CLPT is its inability to trap particles inside dark matter halos, which leads to an overestimate of the small scale power of the displacement field and to an underestimate of the small scale power from one halo term effects. We model this using the displacement field damped at a nonlinear scale (CLPTs). To explore this in more detail we decompose the power spectrum and correlation function into three additive components: Zel'dovich, residual BAO wiggle, and residual broad band. One loop CLPT predicts small modifications to BAO wiggles that are enhanced in CLPTs, with up to 5\% corrections to correlation function around BAO scale.

arXiv comment19 pages, 8 figures

References in corpus (55)

• Baryonic Features in the Matter Transfer Function
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Cuba - a library for multidimensional numerical integration
• 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
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Cosmological Constraints from the Clustering of the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Solving Large Scale Structure in Ten Easy Steps with COLA
• Uncorrelated Modes of the Nonlinear Power Spectrum
• Memory of Initial Conditions in Gravitational Clustering
• Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
• Convolution Lagrangian perturbation theory for biased tracers
• A critical look at cosmological perturbation theory techniques
• Approximation Methods for Non-linear Gravitational Clustering
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
• RegPT: Direct and fast calculation of regularized cosmological power spectrum at two-loop order
• Resumming Cosmic Perturbations
• The Effective Field Theory of Large Scale Structures at Two Loops
• Multi-Point Propagators in Cosmological Gravitational Instability
• On the Renormalization of the Effective Field Theory of Large Scale Structures
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Dark matter clustering: a simple renormalization group approach
• The Zeldovich approximation
• A Consistent Effective Theory of Long-Wavelength Cosmological Perturbations
• Cosmological perturbation theory at three-loop order
• The 2-loop matter power spectrum and the IR-safe integrand
• An analytic model for redshift-space distortions
• Non-linear evolution of the angular momentum of protostructures from tidal torques
• On the Velocity in the Effective Field Theory of Large Scale Structures
• Analytic model for the matter power spectrum, its covariance matrix, and baryonic effects
• Lagrangian Dynamics in Non-Flat Universes and Non-Linear Gravitational Evolution
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Large-N expansions applied to gravitational clustering
• Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
• Constructing Regularized Cosmic Propagators
• On the non-linear scale of cosmological perturbation theory
• The recursion relation in Lagrangian perturbation theory
• Lagrangian or Eulerian; Real or Fourier? Not All Approaches to Large-Scale Structure Are Created Equal
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Next-to-leading resummation of cosmological perturbations via the Lagrangian picture: 2-loop correction in real and redshift spaces
• Matter power spectrum from a Lagrangian-space regularization of perturbation theory
• Cosmic propagators at two-loop order
• Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers
• Non-linear matter power spectrum from Time Renormalisation Group: efficient computation and comparison with one-loop
• How does non-linear dynamics affect the baryon acoustic oscillation?
• Helmholtz Decomposition of the Lagrangian Displacement
• N-point Statistics of Large-Scale Structure in the Zel'dovich Approximation
• Relation between standard perturbation theory and regularized multi-point propagator method
• Using Lagrangian perturbation theory for precision cosmology
• Accuracy of analytical models of the large-scale matter distribution
• An Application of Wiener Hermite Expansion to Non-linear Evolution of Dark Matter

Cited by in corpus (58)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• nbodykit: an open-source, massively parallel toolkit for large-scale structure
• A Lagrangian effective field theory
• Perturbation theory, effective field theory, and oscillations in the power spectrum
• Redshift-Space Distortions in Lagrangian Perturbation Theory
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• Nearest Neighbor distributions: new statistical measures for cosmological clustering
• The Gaussian streaming model and Lagrangian effective field theory
• Iterative initial condition reconstruction
• Reconstruction within the Zeldovich approximation
• Testing Screened Modified Gravity
• Recursive Solutions of Lagrangian Perturbation Theory
• Fast Large Scale Structure Perturbation Theory using 1D FFTs
• On the IR-Resummation in the EFTofLSS
• Primordial Non-Gaussianity from Biased Tracers: Likelihood Analysis of Real-Space Power Spectrum and Bispectrum
• Exploring redshift-space distortions in large-scale structure
• DEMNUni: Massive neutrinos and the bispectrum of large scale structures
• Inverted initial conditions: exploring the growth of cosmic structure and voids
• Theoretical Systematics of Future Baryon Acoustic Oscillation Surveys
• Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
• Non-linear Fields in Generalized Cosmologies
• Modeling CMB Lensing Cross Correlations with {\sc CLEFT}
• Halo Zeldovich model and perturbation theory: dark matter power spectrum and correlation function
• Lagrangian perturbation theory for modified gravity
• FFT-PT: Reducing the two-loop large-scale structure power spectrum to low-dimensional radial integrals
• How smooth are particle trajectories in a $\Lambda$CDM Universe?
• The Reconstructed Power Spectrum in the Zeldovich Approximation
• An accurate perturbative approach to redshift space clustering of biased tracers in modified gravity
• Large-scale structure perturbation theory without losing stream crossing
• Interloper bias in future large-scale structure surveys
• Accurate predictions from small boxes: variance suppression via the Zel'dovich approximation
• Cosmological perturbations for two cold fluids in $\Lambda$CDM
• Understanding redshift space distortions in density-weighted peculiar velocity
• Nonlinear evolution of initially biased tracers in modified gravity
• Nonlinear reconstruction of redshift space distortions
• Precision Redshift-Space Galaxy Power Spectra using Zel'dovich Control Variates
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Cosmological Vlasov-Poisson equations for dark matter: Recent developments and connections to selected plasma problems
• An Analytic Hybrid Halo + Perturbation Theory Model for Small-scale Correlators: Baryons, Halos, and Galaxies
• Screenings in Modified Gravity: a perturbative approach
• Unequal time correlators and the Zeldovich approximation
• Renormalization of Lagrangian bias via spectral parameters
• The dark matter dispersion tensor in perturbation theory
• Marked correlation functions in perturbation theory
• Perturbation theory of LSS in the $\Lambda$CDM Universe: exact time evolution and the two-loop power spectrum
• Galaxy clustering from the bottom up: A Streaming Model emulator I
• Lensing smoothing of BAO wiggles
• Analytical growth functions for cosmic structures in a $\Lambda$CDM Universe
• BullFrog: Multi-step perturbation theory as a time integrator for cosmological simulations
• An Exact Integral-to-Sum Relation for Products of Bessel Functions
• Including relativistic and primordial Non-Gaussianity contributions in cosmological simulations by modifying the initial condition
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers
• Approximate methods for the generation of dark matter halo catalogs in the age of precision cosmology
• Projection of the gravitational dynamics on a subspace of probability distributions: curl-free Gaussian ansatz
• Lagrangian-space Gaussian ansatz for the matter redshift-space power spectrum and correlation function
• Lagrangian Perturbation Theory for Biased Tracers: Significance of the Number Conservation
• Gravitational redshift from large-scale structure: nonlinearities, antisymmetries, and the dipole
• Improving cosmological covariance matrices with machine learning