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We present a high-precision mass model of the galaxy clusterMACSJ0416.1-2403, based on a strong-gravitational-lensing analysis of therecently acquired Hubble Space Telescope Frontier Fields (HFF) imaging data.Taking advantage of the unprecedented depth provided by HST/ACS observations inthree passbands, we identify 51 new multiply imaged galaxies, quadrupling theprevious census and bringing the grand total to 68, comprising 194 individuallensed images. Having selected a subset of the 57 most securely identifiedmultiply imaged galaxies, we use the Lenstool software package to constrain alens model comprised of two cluster-scale dark-matter halos and 98 galaxy-scalehalos. Our best-fit model predicts image positions with an $RMS$ error of0.68'', which constitutes an improvement of almost a factor of two overprevious, pre-HFF models of this cluster. We find the total projected massinside a 200~kpc aperture to be $(1.60\pm0.01)\times 10^{14}\ M_\odot$, ameasurement that offers a three-fold improvement in precision, reaching thepercent level for the first time in any cluster. Finally, we quantify theincrease in precision of the derived gravitational magnification ofhigh-redshift galaxies and find an improvement by a factor of $\sim$2.5 in thestatistical uncertainty. Our findings impressively confirm that HFF imaging hasindeed opened the domain of high-precision mass measurements for massiveclusters of galaxies.

Hubble Frontier Fields : A High Precision Strong Lensing Analysis of Galaxy Cluster MACSJ0416.1-2403 using ~200 Multiple Images