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The correlation between fresh gas accretion onto haloes and galaxy starformation is critical to understanding galaxy formation. Different theoreticalmodels have predicted different correlation strengths between halo accretionrates and galaxy star formation rates, ranging from strong positivecorrelations to little or no correlation. Here, we present a technique toobservationally measure this correlation strength for isolated Milky Way-massgalaxies with $z < 0.123$. This technique is based on correlations between darkmatter accretion rates and the projected density profile of neighbouringgalaxies; these correlations also underlie past work with splashback radii. Weapply our technique to both observed galaxies in the Sloan Digital Sky Surveyas well as simulated galaxies in the UniverseMachine where we can test anydesired correlation strength. We find that positive correlations between darkmatter accretion and recent star formation activity are ruled out with $\gtrsim85\%$ confidence. Our results suggest that star formation activity may not becorrelated with fresh accretion for isolated Milky Way-mass galaxies at $z=0$and that other processes, such as gas recycling, dominate further galaxygrowth.

Observing Correlations Between Dark Matter Accretion and Galaxy Growth: I. Recent Star Formation Activity in Isolated Milky Way-Mass Galaxies