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We probe the higher-order galaxy clustering in the final data release (DR12)of the Sloan Digital Sky Survey Baryon Oscillation Spectroscopic Survey (BOSS)using germ-grain Minkowski Functionals (MFs). Our data selection contains$979,430$ BOSS galaxies from both the northern and southern galactic caps overthe redshift range $z=0.2 - 0.6$. We extract the higher-order part of the MFs,detecting the deviation from the purely Gaussian case with $\chi^2 \sim\mathcal{O}(10^3)$ on 24 degrees of freedom across the entire data selection.We measure significant redshift evolution in the higher-order functionals forthe first time. We find $15-35\%$ growth, depending on functional and scale,between our redshift bins centered at $z=0.325$ and $z=0.525$. We show that thestructure in higher order correlations grow faster than that in the two-pointcorrelations, especially on small scales where the excess approaches a factorof $2$. We demonstrate how this trend is generalizable by finding goodagreement of the data with a hierarchical model in which the higher orders growfaster than the lower order correlations. We find that the non-Gaussianity ofthe underlying dark matter field grows even faster than the one of the galaxiesdue to decreasing clustering bias. Our method can be adapted to study theredshift evolution of the three-point and higher functions individually.

The clustering of galaxies in the SDSS-III Baryon Oscillation  Spectroscopic Survey: Evolution of higher-order correlations demonstrated  with Minkowski Functionals