Cosmology with the moving lens effect

Velocity fields can be reconstructed at cosmological scales from their influence on the correlation between cosmic microwave background and large-scale structure. Effects that induce such correlations include kinetic Sunyaev Zel'dovich (kSZ) effect moving-lens effect, both of which will measured to high precision with upcoming cosmology experiments. Galaxy measurements also provide a window into measuring velocities redshift-space distortions (RSDs). The information accessed kSZ or RSDs, however, is limited by astrophysical uncertainties systematic effects, may significantly reduce our ability constrain parameters as $f\sigma_8$. In this paper, we show how transverse-velocity field, used measure $f\sigma_8$ precision.