Weak lensing deflection of three-point correlation functions
arXiv:1708.01441 · doi:10.1088/1475-7516/2017/12/043
Abstract
Weak gravitational lensing alters the apparent separations between observed sources, potentially affecting clustering statistics. We derive a general expression for the lensing deflection which is valid for any three-point statistic, and investigate its effect on the three-point clustering correlation function. We find that deflection of the clustering correlation function is greatest at around . It is most prominent in regions where the correlation function varies rapidly, in particular at the baryon acoustic oscillation scale where it smooths out the peaks and troughs, reducing the peak-to-trough difference by about 0.1 percent at and around 2.3 percent at . The modification due to lensing deflection is typically at the per cent level of the expected errors in a Euclid-like survey and therefore undetectable.
15 pages + appendices, 7 figures, minor changes to match version published in JCAP
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