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In this work, we investigate upper limits on the global escape fraction ofionizing photons ($f_{\rm esc/global}^{\rm abs}$) from a sample of galaxiesprobed for Lyman-continuum (LyC) emission characterized as non-LyC and LyCleakers. We present a sample of 9 clean non-contaminated (by low redshiftinterlopers, CCD problems and internal reflections of the instrument) galaxieswhich do not show significant ($>$ $3\sigma$) LyC flux between 880\AA\$<\lambda_{rest}<$ 910\AA. The 9 galaxy stacked spectrum reveals no significantLyC flux with an upper limit of $f_{\rm esc}^{\rm abs} \leq 0.06$. In the nextstep of our analysis, we join all estimates of $f_{\rm esc}^{\rm abs}$ upperlimits derived from different samples of $2\lesssim z < 6$ galaxies from theliterature reported in last $\sim$20 years and include the sample presented inthis work. We find the $f_{\rm esc}^{\rm abs}$ upper limit $\leq$ 0.084 for thegalaxies recognized as non-LyC leakers. After including all known detectionsfrom literature $f_{\rm esc/global}^{\rm abs}$ upper limit $\leq$ 0.088 for allgalaxies examined for LyC flux. Furthermore, $f_{\rm esc}^{\rm abs}$ upperlimits for different groups of galaxies indicate that the strongest LyCemitters could be galaxies classified as Lyman alpha emitters. We also discussthe possible existence of a correlation among the observed flux density ratio$(F_{\nu}^{LyC}/F_{\nu}^{UV})_{\rm obs}$ and Lyman alpha equivalent widthEW(Ly$\alpha)$, where we confirm the existence of moderately significantcorrelation among galaxies classified as non-LyC leakers.

Upper limits on the escape fraction of ionizing radiation from galaxies at $2\lesssim z < 6$