HUBBLE FRONTIER FIELDS FIRST COMPLETE CLUSTER DATA: FAINT GALAXIES AT z ∼ 5-10 FOR UV LUMINOSITY FUNCTIONS AND COSMIC REIONIZATION

We present comprehensive analyses of faint dropout galaxies up to z similar to 10 with the first full-depth data set of the A2744 lensing cluster and parallel fields observed by the Hubble Frontier Fields (HFF) program. We identify 54 dropouts at z similar to 5-10 in the HFF fields and enlarge the size of the z similar to 9 galaxy sample obtained to date. Although the number of highlymagnified (mu similar to 10) galaxies is small because of the tiny survey volume of strong lensing, our study reaches the galaxies' intrinsic luminosities comparable to the deepest-field HUDF studies. We derive UV luminosity functions with these faint dropouts, carefully evaluating by intensive simulations the combination of observational incompleteness and lensing effects in the image plane, including magnification, distortion, and multiplication of images, with the evaluation of mass model dependencies. Our results confirm that the faint-end slope, alpha, is as steep as -2 at z similar to 6-8 and strengthen the evidence for the rapid decrease of UV luminosity densities, rho(UV), at z > 8 from the large z similar to 9 sample. We examine whether the rapid rho(UV) decrease trend can be reconciled with the large Thomson scattering optical depth, tau(e), measured by cosmic microwave background experiments, allowing a large space of free parameters, such as an average ionizing photon escape fraction and a stellar-population-dependent conversion factor. No parameter set can reproduce both the rapid rho(UV) decrease and the large tau(e). It is possible that the rho(UV) decrease moderates at z greater than or similar to 11, that the free parameters significantly evolve toward high z, or that there exist additional sources of reionization such as X-ray binaries and faint active galactic nuclei.