We derive the Edgeworth streaming model (ESM) for the redshift space correlation function starting from an arbitrary distribution function for biased tracers of dark matter by considering its two-point statistics and show that it reduces to the Gaussian streaming model (GSM) when neglecting non-Gaussianities. We test the accuracy of the GSM and ESM independent of perturbation theory using the Horizon Run 2 N-body halo catalog. While the monopole of the redshift space halo correlation function is well described by the GSM, higher multipoles improve upon including the leading order non-Gaussian correction in the ESM: the GSM quadrupole breaks down on scales below 30 Mpc/h whereas the ESM stays accurate to 2% within statistical errors down to 10 Mpc/h. To predict the scale dependent functions entering the streaming model we employ Convolution Lagrangian perturbation theory (CLPT) based on the dust model and local Lagrangian bias. Since dark matter halos carry an intrinsic length scale given by their Lagrangian radius, we extend CLPT to the coarse-grained dust model and consider two different smoothing approaches operating in Eulerian and Lagrangian space, respectively. The coarse-graining in Eulerian space features modified fluid dynamics different from dust while the coarse-graining in Lagrangian space is performed in the initial conditions with subsequent single streaming dust dynamics, implemented by smoothing the initial power spectrum in the spirit of the truncated Zel'dovich approximation. Finally, we compare the predictions of the different coarse-grained models for the streaming model ingredients to N-body measurements and comment on the proper choice of both the tracer distribution function and the smoothing scale. Since the perturbative methods we considered are not yet accurate enough on small scales, the GSM is sufficient when applied to perturbation theory.
Morphological Signatures of Gravitational Evolution, Redshift-Space Distortions, and Massive Neutrinos in Large-Scale Structure
Korea Institute for Advanced Study (KIAS)（韩国高等科学研究院）；Asia Pacific Center for Theoretical Physics（亚太理论物理中心）；Department of Physics, POSTECH（浦项科技大学物理系）；Indian Institute of Astrophysics（印度天体物理研究所）
Non-Gaussian Expansion of Minkowski Tensors in Redshift Space
Asia Pacific Center for Theoretical Physics（亚太理论物理中心）；Department of Physics, POSTECH（浦项科技大学物理系）；Institut d’Astrophysique de Paris（巴黎天体物理学研究所）；Kyung Hee University, Dept. of Astronomy & Space Science（庆熙大学天文与空间科学系）；Indian Institute of Astrophysics（印度天体物理研究所）；Department of Physics, University of Alberta（阿尔伯塔大学物理系）；School of Physics, Korea Institute for Advanced Study（韩国高等科学研究院物理学院）
The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 LRG sample: structure growth rate measurement from the anisotropic LRG correlation function in the redshift range 0.6 < z < 1.0
