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We model the latest HST WFPC3/IR observations of > 100 galaxies at redshiftsz=7-8 in terms of a hierarchical galaxy formation model with starburstactivity. Our model provides a distribution of UV luminosities per dark matterhalo of a given mass and a natural explanation for the fraction of haloshosting galaxies. The observed luminosity function is best fit with a minimumhalo mass per galaxy of 10^{9.4+0.3-0.9} Msun, corresponding to a virialtemperature of 10^{4.9+0.2-0.7} K. Extrapolating to faint, undetected galaxies,the total production rate of ionizing radiation depends critically on thisminimum mass. Future measurements with JWST should determine whether the entiregalaxy population can comfortably account for the UV background required tokeep the intergalactic medium ionized.

Constraining the Minimum Mass of High-Redshift Galaxies and Their Contribution to the Ionization State of the IGM