Beyond the Damping Tail: Cross-Correlating the Kinetic Sunyaev-Zel'dovich Effect with Cosmic Shear
Secondary anisotropies of the CMB have the potential to reveal intricate details about the history of our universe between the present and recombination epochs. However, because the CMB we observe is the projected sum of a multitude of effects, the interpretation of small scale anisotropies by future high resolution experiments will be marred by uncertainty and speculation without the handles provided by other observations. In this paper we show that cross correlating the CMB with an overlapping weak lensing survey will isolate the elusive kinetic Sunyaev-Zel'dovich Effect from secondary anisotropies generated at higher redshifts. We show that if upcoming high angular resolution CMB experiments, like PLANCK/ACT/SPT, cover the same area of sky as current and future weak lensing surveys, like CFTHLS/SNAP/LSST, the cross correlation of cosmic shear with the kSZ effect will be detected with high signal to noise ratio, increasing the potential science accessible to both sets of surveys. For example, if ACT and a CFHTLS like survey were to overlap this cross-correlation would be detected with a total signal to noise ratio greater than 220, reaching 1.8 per individual multipole around l \sim 5000. Furthermore, this cross-correlation probes the three point coupling between the underlying dark matter and the "momentum" of the ionized baryons in the densest regions of the universe at intermediate redshifts. Similar to the tSZ power spectrum, its strength is extremely sensitive to the power spectrum normalization parameter, σ_8, scaling roughly as σ_8^7. It provides an effective mechanism to isolate any component of anisotropy due to patchy reionization and rule out primordial small scale anisotropy.