Weak lensing deflection of three-point correlation functions

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.

15 pages + appendices, 7 figures, minor changes to match version published in JCAP

References in corpus (6)

• Cosmology and the Bispectrum
• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Weak Lensing of Baryon Acoustic Oscillations
• Weak Lensing Effects on the Galaxy Three-Point Correlation Function
• Universal Weak Lensing Distortion of Cosmological Correlation Functions
• Lensing smoothing of BAO wiggles