To date no direct detection of Lyman continuum emission has been measured for intermediate–redshift z~1 star-forming galaxies . We combine HST grism spectroscopy with GALEX UV and ground–based optical imaging to extend the search for escaping Lyman continuum to a large (~600) sample of z~1 low-mass, moderately star-forming galaxies selected initially on H emission. The characteristic escape fraction of LyC from SFGs that populate this parameter space remains weakly constrained by previous surveys, but these faint SFGs are assumed to play a significant role in the reionization of neutral hydrogen in the intergalactic medium (IGM) at high redshift (z>6). We do not make an unambiguous detection of escaping LyC radiation from this sample, individual non–detections to constrain the absolute Lyman continuum escape fraction, <2.1% (3). We measure upper limits of <9.6% from a sample of SFGs selected on high H equivalent width (EW>200\AA), which are thought to be close analogs of high redshift sources of reionization. For reference, we also present an emissivity–weighted escape fraction which is useful as a measurement of the general contribution of the SFGs to the z~1 ionizing UV background. In the discussion, we consider the implications of these intermediate redshift constraints for the reionization of hydrogen in the intergalactic medium at high (z > 6) redshift. If we assume our SFGs, for which we measure this emissivity-weighted , are analogs to the high redshift sources of reionization, we find is difficult reconcile reionization by faint (M) SFGs with a low escape fraction (3%), with constraints from independent high redshift observations. If evolves with redshift, reionization by SFGs may be consistent with observations from Planck.

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