Pyne, S; Joachimi, B; Peiris, HV; (2017) Weak lensing deflection of three-point correlation functions. Journal of Cosmology and Astroparticle Physics , 2017 (12) , Article 043. 10.1088/1475-7516/2017/12/043.

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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 z=2. 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 z=1 and around 2.3 percent at z=10. 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.

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