Using the Inferred Halpha Emission from z~4-5 Galaxies to Measure the Lyman-Continuum Photon Production Efficiency xi_{ion}: Implications for the Escape Fraction

Galaxies represent one of the preferred candidate sources to drive the reionization of the universe. Even as gains are made in mapping the galaxy UV luminosity density to z>6, significant uncertainties remain regarding the Lyman-continuum (LyC) photon production efficiency xi_{ion} and the escape fraction f_{esc}. However, dramatic progress can be made in assessing the impact of z>~6 galaxies on the reionization of the universe, using the Halpha fluxes inferred from z=4-5 galaxies based on their IRAC broad-band fluxes. Here, we provide the first-ever direct estimates of the LyC photon production efficiency xi_{ion} for z>~4 galaxies, by comparing the LyC photons implied by the inferred H$\alpha$ luminosities for a $z=4$-5 sample with the dust-corrected UV-continuum luminosities. We find log_{10} xi_{ion}/[Hz / ergs] to have a mean value of 25.28_{-0.09}^{+0.10} and 25.34_{-0.08}^{+0.09} for sub-L* z=4-5 galaxies adopting Calzetti and SMC dust laws, respectively. Reassuringly, both derived values are consistent with standardly assumed xi_{ion}'s in reionization models, with a slight preference for higher xi_{ion}'s (by ~0.1 dex) adopting the SMC dust law. A modest ~0.03-dex increase in these estimates would result if the escape fraction for ionizing photons is non-zero and galaxies dominate the ionizing emissivity at z~4.4. High values of xi_{ion} (~25.5-25.9 dex) are derived for the bluest galaxies (beta<-2.3) in our samples, independent of dust law and consistent with results for a z=7.045 galaxy. Such elevated values of xi_{ion} would have important consequences, indicating that f_{esc} cannot be in excess of 13% unless the galaxy UV luminosity function does not extend down to -13 mag or the clumping factor is greater than 3. A low escape fraction would fit well with the low rate of Lyman-continuum leakage observed at z~3.