TY - JOUR
T1 - Covariance of the matter power spectrum including the survey window function effect
T2 - N -body simulations versus fifth-order perturbation theory on grids
AU - Taruya, Atsushi
AU - Nishimichi, Takahiro
AU - Jeong, Donghui
N1 - Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/1/5
Y1 - 2021/1/5
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85099297029&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85099297029&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.103.023501
DO - 10.1103/PhysRevD.103.023501
M3 - Article
AN - SCOPUS:85099297029
SN - 2470-0010
VL - 103
JO - Physical Review D
JF - Physical Review D
IS - 2
M1 - 023501
ER -