The Correspondence between Convergence Peaks from Weak Lensing and Massive Dark Matter Haloes

TL;DR

This study uses ray-tracing simulations to explore how convergence peaks from weak lensing relate to dark matter haloes, revealing the impact of noise and large-scale structures on peak-halo correspondence.

Contribution

It provides a detailed analysis of the relationship between weak lensing convergence peaks and dark matter haloes, accounting for noise effects and large-scale structure contributions.

Findings

Over 65% of high SNR peaks relate to multiple massive haloes.

High peaks are mainly caused by very massive haloes larger than 10^14 solar masses.

Noise significantly affects the distribution and interpretation of convergence peaks.

Abstract

The convergence peaks, constructed from galaxy shape measurement in weak lensing, is a powerful probe of cosmology as the peaks can be connected with the underlined dark matter haloes. However the capability of convergence peak statistic is affected by the noise in galaxy shape measurement, signal to noise ratio as well as the contribution from the projected mass distribution from the large-scale structures along the line of sight (LOS). In this paper we use the ray-tracing simulation on a curved sky to investigate the correspondence between the convergence peak and the dark matter haloes at the LOS. We find that, in case of no noise and for source galaxies at $z_{\rm s}=1$, more than $65\%$ peaks with $\text{SNR} \geq 3$ (signal to noise ratio) are related to more than one massive haloes with mass larger than $10^{13} {\rm M}_{\odot}$. Those massive haloes contribute $87.2\%$ to high peaks ($\text{SNR} \geq 5$) with the remaining contributions are from the large-scale structures. On the other hand, the peaks distribution is skewed by the noise in galaxy shape measurement, especially for lower SNR peaks. In the noisy field where the shape noise is modelled as a Gaussian distribution, about $60\%$ high peaks ($\text{SNR} \geq 5$) are true peaks and the fraction decreases to $20\%$ for lower peaks ($ 3 \leq \text{SNR} < 5$). Furthermore, we find that high peaks ($\text{SNR} \geq 5$) are dominated by very massive haloes larger than $10^{14} {\rm M}_{\odot}$.