Perturbative approach to covariance matrix of the matter power spectrum

Abstract We evaluate the covariance matrix of the matter power spectrum using perturbation theory up to dominant terms at 1-loop order and compare it to numerical simulations. We decompose the covariance matrix into the disconnected (Gaussian) part, trispectrum from the modes outside the survey (sup...

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Veröffentlicht in:Monthly notices of the Royal Astronomical Society 2017-04, Vol.466 (1), p.780-797
Hauptverfasser: Mohammed, Irshad, Seljak, Uroš, Vlah, Zvonimir
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Sprache:eng
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Zusammenfassung:Abstract We evaluate the covariance matrix of the matter power spectrum using perturbation theory up to dominant terms at 1-loop order and compare it to numerical simulations. We decompose the covariance matrix into the disconnected (Gaussian) part, trispectrum from the modes outside the survey (supersample variance) and trispectrum from the modes inside the survey, and show how the different components contribute to the overall covariance matrix. We find the agreement with the simulations is at a 10 per cent level up to k ∼ 1 h Mpc−1. We show that all the connected components are dominated by the large-scale modes (k 
ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/stw3196