Paper
Optimal intrinsic alignment estimators in the presence of redshift-space distortions
Authors
Claire Lamman, Jonathan Blazek, Daniel J. Eisenstein
Abstract
We present estimators for quantifying intrinsic alignments in large spectroscopic surveys that efficiently capture line-of-sight (LOS) information while being relatively insensitive to redshift-space distortions (RSD). We demonstrate that changing the LOS integration range, Pimax, as a function of transverse separation outperforms the conventional choice of a single Pimax value. This is further improved by replacing the flat Pimax cut with a LOS weighting based on shape projection and RSD. Although these estimators incorporate additional LOS information, they are projected correlations that exhibit signal-to-noise ratios comparable to 3D correlation functions, such as the IA quadrupole. Using simulations from Abacus Summit, we evaluate these estimators and provide recommended Pimax values and weights for projected separations of 1 - 100 Mpc/h. These will improve measurements of intrinsic alignments in large cosmological surveys and the constraints they provide for both weak lensing and direct cosmological applications.