Three-point galaxy-galaxy lensing as a probe of dark matter halo shapes
Susmita Adhikari, Chun Yin Ricky Chue, Neal Dalal

TL;DR
This paper introduces a new 3-point lensing method to measure dark matter halo shapes, overcoming misalignment issues, and demonstrates its effectiveness with simulations and future survey prospects.
Contribution
It presents a novel 3-point correlation technique to accurately measure dark matter halo ellipticities, immune to galaxy-halo misalignments.
Findings
Systematic errors in ellipticity measurement are below 5%.
Future surveys like LSST can detect halo ellipticities with this method.
The estimator effectively uses all triangle configurations in the 3-point function.
Abstract
We propose a method to measure the ellipticities of dark matter halos using the lens-shear-shear 3-point correlation function. This method is immune to effects of galaxy-halo misalignments that can potentially limit 2-point galaxy-galaxy lensing measurements of halo anisotropy. Using a simple model for the projected mass distributions of dark matter halos, we construct an ellipticity estimator that sums over all possible triangular configurations of the 3-point function. By applying our estimator to halos from N-body simulations, we find that systematic errors in the recovered ellipticity will be at the <5% fractional level. We estimate that future imaging surveys like LSST will have sufficient statistics to detect halo ellipticities using 3-point lensing.
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