English

Super-Sample Covariance in Simulations

Cosmology and Nongalactic Astrophysics 2014-04-28 v2

Abstract

Using separate universe simulations, we accurately quantify super-sample covariance (SSC), the typically dominant sampling error for matter power spectrum estimators in a finite volume, which arises from the presence of super survey modes. By quantifying the power spectrum response to a background mode, this approach automatically captures the separate effects of beat coupling in the quasilinear regime, halo sample variance in the nonlinear regime and a new dilation effect which changes scales in the power spectrum coherently across the survey volume, including the baryon acoustic oscillation scale. It models these effects at typically the few percent level or better with a handful of small volume simulations for any survey geometry compared with directly using many thousands of survey volumes in a suite of large volume simulations. The stochasticity of the response is sufficiently small that in the quasilinear regime, SSC can be alternately included by fitting the mean density in the volume with these fixed templates in parameter estimation. We also test the halo model prescription and find agreement typically at better than the 10% level for the response.

Keywords

Cite

@article{arxiv.1401.0385,
  title  = {Super-Sample Covariance in Simulations},
  author = {Yin Li and Wayne Hu and Masahiro Takada},
  journal= {arXiv preprint arXiv:1401.0385},
  year   = {2014}
}

Comments

12 pages, 11 figures, matches published version

R2 v1 2026-06-22T02:38:06.956Z