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Mean Halpha+[NII]+[SII] EW Inferred for Star-Forming Galaxies at z=5.1-5.4 Using High-Quality Spitzer/IRAC Photometry

Recent Spitzer/InfraRed Array Camera (IRAC) photometric observations have revealed that rest-frame optical emission lines contribute signficantly to the broadband fluxes of high-redshift galaxies. Specifically, in the narrow redshift range z~5.1-5.4 the [3.6]-[4.5] color is expected to be very red, due to contamination of the 4.5-micron band by the dominant Halpha line, while the 3.6-micron filter is free of nebular emission lines. We take advantage of new reductions of deep Spitzer/IRAC imaging over the GOODS-North+South fields (Labbe+2015) to obtain a clean measurement of the mean Halpha equivalent width from the [3.6]-[4.5] color in the redshift range z=5.1-5.4. The selected sources either have measured spectroscopic redshifts (13 sources) or lie very confidently in the redshift range z=5.1-5.4 based on the photometric redshift likelihood intervals (11 sources). Our z_{phot}=5.1-5.4 sample and z_{spec}=5.10-5.40 spectroscopic sample have a mean [3.6]-[4.5] color of 0.31+/-0.05 mag and 0.35+/-0.07 mag, implying a rest-frame equivalent width EW(Halpha+[NII]+[SII]) of 665+/-53 Angstroms and 707+/-74 Angstroms, respectively, for sources in these samples. These values are consistent albeit slightly higher than derived by Stark+2013 at z~4, suggesting an evolution to higher values of the Halpha+[NII]+[SII] EW at z>2. Using the 3.6micron band, which is free of emission line contamination, we perform robust SED fitting and find a median specific star formation rate of sSFR = 17_{-5}^{+2} Gyr^{-1}, 7_{-2}^{+1}x higher than at z~2. We find no strong correlation (<2sigma) between the Halpha+[NII]+[SII] EW and the stellar mass of sources. Before the advent of JWST, improvements in these results will come through an expansion of current spectroscopic samples and deeper Spitzer/IRAC measurements.