http://arxiv.org/abs/1908.10595
The tomographic AP method is so far the best method in separating the Alcock-Paczynski (AP) signal from the redshift space distortion (RSD) effects and deriving powerful constraints on cosmological parameters using the $\lesssim40h^{-1}\ \rm Mpc$ clustering region. To guarantee that the method can be safely applied to the future large scale structure (LSS) surveys, we perform a detailed study on the systematics of the method. The major contribution of the systematics comes from the non-zero redshift evolution of the RSD effects. It leads to non-negligible redshift evolution in the clustering anisotropy, which is quantified by $\hat\xi_{\Delta s}(\mu,z)$ in our analysis, and estimated using the BigMultidark N-body and COLA simulation samples. We find about 5\%/10\% evolution when comparing the $\hat\xi_{\Delta s}(\mu,z)$ measured as $z=0.5$/$z=1$ to the measurements at $z=0$. The inaccuracy of COLA is 5-10 times smaller than the intrinsic systematics, indicating that using it to estimate the systematics is good enough. In addition, we find the magnitude of systematics significantly increases if we enlarge the clustering scale to $40-150\ h^{-1}\ \rm Mpc$, indicating that using the $\lesssim40h^{-1}\ \rm Mpc$ region is an optimal choice. Finally, we test the effect of halo bias, and find $\lesssim$1.5\% change in $\hat\xi_{\Delta s}$ when varying the halo mass within the range of $2\times 10^{12}$ to $10^{14}$ $M_{\odot}$. We will perform more studies to achieve an accurate and efficient estimation of the systematics in redshift range $z=0-1.5$.
Q. Ma, Y. Guo, X. Li, et. al.
Thu, 29 Aug 19
8/55
Comments: 13 pages, 5 figures
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