The kinetic Sunyaev-Zel'dovich (kSZ) effect, i.e., the Doppler boost of cosmic microwave
background (CMB) photons caused by their scattering off free electrons in galaxy clusters and
groups with non-zero bulk velocity, is a powerful window on baryons in the universe. We present
the first halo-model computation of the cross-power spectrum of the “projected-field” kSZ signal
with large-scale structure (LSS) tracers. We compare and validate our calculations against
previous studies, which relied on N-body-calibrated effective formulas rather than the halo
model. We forecast results for CMB maps from the Atacama Cosmology Telescope (AdvACT), Simons
Observatory (SO), and CMB-S4, and LSS survey data from the Dark Energy Survey, the Vera C. Rubin
Observatory (VRO), and Euclid. In cross-correlation with galaxy number density, for
AdvACT × unWISE we forecast an 18σ projected-field kSZ detection using data
already in hand. Combining SO CMB maps and unWISE galaxy catalogs, we expect a
62σ detection, yielding precise measurements of the gas density profile radial slopes.
Additionally, we forecast first detections of the kSZ — galaxy weak lensing cross-correlation
with AdvACT × VRO/Euclid (at 6σ) and of the kSZ — CMB weak lensing
cross-correlation with SO (at 16σ). Finally, ≈ 10-20% precision measurements of
the shape of the gas density profile should be possible with CMB-S4 kSZ — CMB lensing
cross-correlation without using any external datasets.