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The peculiar velocity of a mass tracer is on average aligned with the dipolemodulation of the surrounding mass density field. We present a firstmeasurement of the correlation between radial peculiar velocities of objects inthe cosmicflows-3 catalog and the dipole moment of the 2MRS galaxy distributionin concentric spherical shells centered on these objects. Limiting the analysisto cosmicflows-3 objects with distances of $100 \rm Mpc h^{-1}$, thecorrelation function is detected at a confidence level $> 4\sigma$. Themeasurement is found consistent with the standard $\Lambda$CDM model at $<1.7\sigma$ level. We formally derive the constraints$0.32<\Omega^{0.55}\sigma_8<0.48$ ($68\% $ confidence level) or equivalently$0.34<\Omega^{0.55}/b<0.52$, where $b$ is the galaxy bias factor. Deeper andimproved peculiar velocity catalogs will substantially reduce theuncertainties, allowing tighter constraints from this type of correlations.

Velocity-Density Correlations from the cosmicflows-3 Distance Catalog and the 2MASS Redshift Survey