The MUSE Deep Lensed Field on the Hubble Frontier Field MACS~J0416

Context: A census of faint and tiny star forming complexes at high redshift is key for the understanding of the reionizing sources, galaxy growth and the formation of globular clusters. Aims: We present the MUSE deep lensed field (MDLF) program. Methods: Deep MUSE observations of 17.1 hours integration on a single pointing over the Hubble Frontier Field galaxy cluster MACS~J0416 are described. Results: We confirm 182 multiple images in the redshift range 0.9 10 for individual objects down to de-lensed magnitude 28-30 suggesting that they are common in such faint sources. Conclusions:Deep MUSE observations, in combination with existing HST imaging, allowed us to: (1) confirm redshifts for extremely faint high-z sources; (2) peer into their internal clumps (down to 100-200 pc scale); (3) in some cases break down such clumps into bound star clusters (<25 pc scale); (4) double the number of constraints for the lens model, reaching an unprecedented set of 182 bona-fide multiple images and confirming up to 213 galaxy cluster members. These results demonstrate the power that JWST and future ELTs will have when combined to study gravitational telescopes.[abridged]