Characterize angular statistics from additional line-of-sight and surrounding structure

Determine the angular covariance entries, higher angular moments, correlations with the smooth host halo, and resulting population scatter of the total lensing field when bound subhalos, correlated surrounding structure, and uncorrelated large-scale structure along the line of sight are included.

Background

The numerical experiment models smooth triaxial host halos with prescribed centering-offset distributions, while omitting bound subhalos, correlated environmental structure, and uncorrelated line-of-sight structure. Although first-order cancellation on a complete ring remains formal under a valid Taylor expansion, the omitted components can alter the angular covariance and higher-moment structure of the lensing fields.

Consequently, the paper does not quantify how these additional structures modify the nonlinear ring-averaging residuals or their halo-to-halo population scatter. A more complete population model is required to resolve this question.