Quantifying Environmental and Line-of-Sight Effects in Models of Strong Gravitational Lens Systems

TL;DR

This study uses realistic simulations to quantify how environmental and line-of-sight structures influence strong gravitational lensing measurements, highlighting the importance of modeling these effects for accurate cosmological inferences.

Contribution

It provides a comprehensive analysis of environmental and LOS effects on lensing, demonstrating the limitations of simplified models and proposing improved approaches for future surveys.

Findings

Foreground structures have a stronger impact than background ones.

Ignoring external mass outside the lens causes biased results.

Asymmetric lens configurations are less affected by lens profile degeneracy.

Abstract

Matter near a gravitational lens galaxy or projected along the line of sight (LOS) can affect strong lensing observables by more than contemporary measurement errors. We simulate lens fields with realistic three-dimensional mass configurations (self-consistently including voids), and then fit mock lensing observables with increasingly complex lens models to quantify biases and uncertainties associated with different ways of treating the lens environment (ENV) and LOS. We identify the combination of mass, projected offset, and redshift that determines the importance of a perturbing galaxy for lensing. Foreground structures have a stronger effect on the lens potential than background structures, due to nonlinear effects in the foreground and downweighting in the background. There is dramatic variation in the net strength of ENV/LOS effects across different lens fields; modeling fields individually yields stronger priors for $H_0$ than ray tracing through $N$-body simulations. Models that ignore mass outside the lens yield poor fits and biased results. Adding external shear can account for tidal stretching from galaxies at redshifts $z \ge z_{\rm lens}$, but it requires corrections for external convergence and cannot reproduce nonlinear effects from foreground galaxies. Using the tidal approximation is reasonable for most perturbers as long as nonlinear redshift effects are included. Even then, the scatter in $H_0$ is limited by the lens profile degeneracy. Asymmetric image configurations produced by highly elliptical lens galaxies are less sensitive to the lens profile degeneracy, so they offer appealing targets for precision lensing analyses in future surveys like LSST and Euclid.