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Extending over three Hubble Space Telescope (HST) cycles, the Hubble FrontierFields (HFF) initiative constitutes the largest commitment ever of HST time tothe exploration of the distant Universe via gravitational lensing by massivegalaxy clusters. We here present models of the mass distribution in the six HFFcluster lenses, derived from a joint strong- and weak-lensing analysis anchoredby a total of 88 multiple-image systems identified in existing HST data. Theresulting maps of the projected mass distribution and of the gravitationalmagnification effectively calibrate the HFF clusters as gravitationaltelescopes. Allowing the computation of search areas in the source plane, thesemaps are provided to the community to facilitate the exploitation offorthcoming HFF data for quantitative studies of the gravitationally lensedpopulation of background galaxies. Our models of the gravitationalmagnification afforded by the HFF clusters allow us to quantify thelensing-induced boost in sensitivity over blank-field observations and predictthat galaxies at $z>10$ and as faint as m(AB)=32 will be detectable, up to 2magnitudes fainter than the limit of the Hubble Ultra Deep Field.

Mass and magnification maps for the Hubble Space Telescope Frontier Fields clusters: implications for high redshift studies