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We present a high resolution dissection of the two-dimensional total massdistribution in the core of the Hubble Frontier Fields galaxy cluster MACSJ0416.1-2403, at z ~ 0.396. We exploit HST/WFC3 near-IR (F160W) imaging,VLT/MUSE spectroscopy, and Chandra data to separate the stellar, hot gas, anddark-matter mass components in the inner 300 kpc of the cluster. We combine therecent results of our refined strong lensing analysis, which includes thecontribution of the intracluster gas, with the modeling of the surfacebrightness and stellar mass distributions of 193 cluster members, of which 144are spectroscopically confirmed. We find that moving from 10 to 300 kpc fromthe cluster center the stellar to total mass fraction decreases from 12% to 1%and the hot gas to total mass fraction increases from 3% to 9%, resulting in abaryon fraction of approximately 10% at the outermost radius. We measure thatthe stellar component represents ~ 30%, near the cluster center, and 15%, atlarger clustercentric distances, of the total mass in the clustersubstructures. We subtract the baryonic mass component from the total massdistribution and conclude that within 30 kpc (~ 3 times the effective radius ofthe BCG) from the cluster center the surface mass density profile of the totalmass and global (cluster plus substructures) dark-matter are steeper and thatof the diffuse (cluster) dark-matter is shallower than a NFW profile. Ourcurrent analysis does not point to a significant offset between the clusterstellar and dark-matter components. This detailed and robust reconstruction ofthe inner dark-matter distribution in a larger sample of galaxy clusters willset a new benchmark for different structure formation scenarios.

Mass profile decomposition of the Frontier Fields cluster MACS J0416-02403. Insights on the Dark-Matter inner profile