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An observer that is moving towards a high-density region sees, on average, ahigher matter density and more foreground-emitting sources ahead than behindthemself. Consequently, the average abundance and luminosity of objectsproducing cosmological signals around an in-falling dark matter halo is largerin the direction of the halo's motion. In this Letter, we demonstrate thiseffect from simulated cosmological maps of the thermal Sunyaev Zel'dovicheffect and the cosmic infrared background. We find that, for a wide range ofhalo masses and redshifts, oriented stacked profiles of these foregrounds showsignificant, potentially detectable gradients aligned with the transversevelocity of halos. The signal depends on the halo's mass and redshift, as wellas the physical properties of the cosmic web surrounding the halos. We showthat this signal is sufficiently prominent to be detected in future CosmicMicrowave Background experiments, therefore offering a new window into thestudy of cosmological structures. We argue that the dipolar morphologicalstructure of this signal, its orientation, as well as its overall largeamplitude, constitute a challenge for the detection of the transverse velocitythrough the study of the moving lens effect for stacked halos.

Transverse velocities and matter gradient correlations: a new signal and a new challenge to moving-lens analyses