Distribution function approach to redshift space distortions: N-body simulations

Teppei Okumura
IEU, Institute for the Early Universe


Galaxy redshift surveys are one of the most powerful tools to probe cosmological models. Particularly measurement of redshift space distortions (RSD), caused by peculiar velocities of galaxies, offers an attractive method to directly probe the cosmic growth history of density perturbations. A distribution function approach where RSD can be written as a sum over density weighted velocity moment correlators has recently been developed. In this talk I present the redshift-space power spectrum based on this approach using N-body simulations and show that this formalism predicts the true power spectrum up to sufficiently small scales. Although I focus only on the dark matter clustering, the analysis presented here can be naturally extended to biased objects such as dark matter halos and galaxies.