Abstract
Determining the average fraction of Lyman continuum (LyC) photons escaping
high redshift galaxies is essential to understand how reionization proceeded in
the z>6 Universe. We want to measure the LyC signal from a sample of sources in
the CDFS and COSMOS fields for which ultra-deep VIMOS spectroscopy as well as
multi-wavelength HST imaging are available. We select a sample of 46 galaxies
at $z4$ from the VIMOS Ultra Deep Survey (VUDS) database, such that the
VUDS spectra contain the LyC part of the spectra i.e. the rest-frame range
$880-910\AA$; taking advantage of the HST imaging we apply a careful cleaning
procedure and reject all the sources showing nearby clumps with different
colours, that could potentially be lower redshift interlopers. After this
procedure the sample is reduced to 33 galaxies. We measure the ratio between
ionizing flux (LyC at $895\AA$) and non ionizing emission (at $1500 \AA$)
for all individual sources. We also produce a normalized stacked spectrum of
all sources. Assuming an intrinsic average $L_\nu(1470)/L_\nu(895)$ of 3,
we estimate the individual and average relative escape fraction. We do not
detect ionizing radiation from any individual source, although we identify a
possible LyC emitter with very high Ly$\alpha$ equivalent width. From the
stacked spectrum and assuming a mean transmissivity for the sample, we measure
a relative e scape fraction $f_esc^rel=0.06\pm0.03$. We also look for
correlations between the limits in the LyC flux and source properties and find
a tentative correlation between LyC flux and the EW of the Ly$\alpha$ emission
line. Our result implies that the LyC flux emitted by $V=25-26$ star forming
galaxies at z$\sim$4 is, at most, very modest, in agreement with previous upper
limits from studies based on broad and narrow band imaging.
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