Covariance of the matter power spectrum including the survey window function effect: N-body simulations vs. fifth-order perturbation theory on grid

Abstract

We present a Next-to-next-to-leading (fifth or NNLO) order calculation for the covariance matrix of the matter power spectrum, taking into account the effect of survey window functions. Using the grid-based calculation scheme for the standard perturbation theory, GridSPT, we quickly generate multiple realizations of the nonlinear density fields to fifth order in perturbation theory, then estimate the power spectrum and the covariance matrix from the sample. To the end, we have obtained the non-Gaussian covariance originated from the one-loop trispectrum without explicitly computing the trispectrum. By comparing the GridSPT calculations with the N-body results, we show that NNLO GridSPT result reproduces the N-body results on quasi-linear scales where SPT accurately models nonlinear matter power spectrum. Incorporating the survey window function effect to GridSPT is rather straightforward, and the resulting NNLO covariance matrix also matches well with the N-body results.

20 pages, 16 figures, updated to match the version published in PRD

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• The two-loop bispectrum of large-scale structure
• Accurate predictions from small boxes: variance suppression via the Zel'dovich approximation
• SuperFaB: a fabulous code for Spherical Fourier-Bessel decomposition
• Precise Calibration of the One-Loop Trispectrum in the Effective Field Theory of Large Scale Structure
• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
• Towards cosmological constraints from the compressed modal bispectrum: a robust comparison of real-space bispectrum estimators
• Grid-based calculations of redshift-space matter fluctuations from perturbation theory: UV sensitivity and convergence at the field level
• Cosmological Model Parameter Dependence of the Matter Power Spectrum Covariance from the DEUS-PUR $Cosmo$ Simulations
• Harmonic analysis of isotropic fields on the sphere with arbitrary masks
• Perturbation Theory Remixed: Improved Nonlinearity Modeling beyond Standard Perturbation Theory
• Reconstructing the Long-wavelength Matter Density Fluctuation Modes from the Scalar-Type Clustering Fossils
• Perturbation Theory Remixed II: Improved Modeling of Nonlinear Bispectrum
• Large-scale Modeling of the Observed Power Spectrum Multipoles