Out of sight, out of mind? The impact of correlated clustering in substructure lensing

TL;DR

This paper investigates how local clustering of dark matter halos near lensing galaxies enhances the probability of detecting small-scale structures through gravitational lensing, revealing that clustering significantly increases expected signals.

Contribution

It provides the first detailed analysis of local, lens-proximate clustering effects on substructure lensing, including an analytic expression for the clustering boost.

Findings

Clustering near lens hosts increases detection probability by ~35%.

Orientation effects can boost lensing signals by ~50%.

Clustering effects extend beyond the virial radius, affecting lensing predictions.

Abstract

A promising route for revealing the existence of dark matter structures on mass scales smaller than the faintest galaxies is through their effect on strong gravitational lenses. We examine the role of local, lens-proximate clustering in boosting the lensing probability relative to contributions from substructure and unclustered line-of-sight (LOS) halos. Using two cosmological simulations that can resolve halo masses of $M_{\rm halo} \simeq 10^{9}\ M_{\odot}$ (in a simulation box of length $L_{\rm box}{\sim}100\,{\rm Mpc}$) and $10^{7}\ M_{\odot}$ ($L_{\rm box}\sim20\,{\rm Mpc}$), we demonstrate that clustering in the vicinity of the lens host produces a clear enhancement relative to an assumption of unclustered halos that persists to $> 20\,R_{\rm vir}$. This enhancement exceeds estimates that use a two-halo term to account for clustering, particularly within $2-5\,R_{\rm vir}$. We provide an analytic expression for this excess, clustered contribution. We find that local clustering boosts the expected count of $10^9 \ M_\odot$ perturbing halos by ${\sim}35\%$ compared to substructure alone, a result that will significantly enhance expected signals for low-redshift ($z_l \simeq 0.2$) lenses, where substructure contributes substantially compared to LOS halos. We also find that the orientation of the lens with respect to the line of sight (e.g., whether the line of sight passes through the major axis of the lens) can also have a significant effect on the lensing signal, boosting counts by an additional $\sim 50\%$ compared to a random orientations. This could be important if discovered lenses are biased to be oriented along their principal axis.