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

Atsushi Taruya, Takahiro Nishimichi, Donghui Jeong

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 quasilinear 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.

Original languageEnglish (US)
Article number023501
JournalPhysical Review D
Volume103
Issue number2
DOIs
StatePublished - Jan 5 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Fingerprint

Dive into the research topics of 'Covariance of the matter power spectrum including the survey window function effect: N -body simulations versus fifth-order perturbation theory on grids'. Together they form a unique fingerprint.

Cite this