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Conventionally, in galaxy surveys, cosmological constraints on the growth andexpansion history of the universe have been obtained from the measurements ofredshift-space distortions and baryon acoustic oscillations embedded in thelarge-scale galaxy density field. In this paper, we study how well one canimprove the cosmological constraints from the combination of the galaxy densityfield with velocity and tidal fields, which are observed via the kineticSunyaev-Zel'dovich (kSZ) and galaxy intrinsic alignment (IA) effects,respectively. For illustration, we consider the deep galaxy survey by SubaruPrime Focus Spectrograph, whose survey footprint perfectly overlaps with theimaging survey of the Hyper Suprime-Cam and the CMB-S4 experiment. We find thatadding the kSZ and IA effects significantly improves cosmological constraints,particularly when we adopt the non-flat cold dark matter model which allowsboth time variation of the dark energy equation-of-state and deviation of thegravity law from general relativity. Under this model, we achieve $31\%$improvement for the growth index $\gamma$ and $>35\%$ improvement for otherparameters except for the curvature parameter, compared to the case of theconventional galaxy-clustering-only analysis. As another example, we alsoconsider the wide galaxy survey by the {\it Euclid} satellite, in which shapesof galaxies are noisier but the survey volume is much larger. We demonstratethat when the above model is adopted, the clustering analysis combined with kSZand IA from the deep survey can achieve tighter cosmological constraints thanthe clustering-only analysis from the wide survey.

physical review. d/physical review. d.

Tightening geometric and dynamical constraints on dark energy and  gravity: galaxy clustering, intrinsic alignment and kinetic  Sunyaev-Zel'dovich effect