THE EVOLUTION OF THE FAINT END OF THE UV LUMINOSITY FUNCTION DURING THE PEAK EPOCH OF STAR FORMATION $(1\lt z\lt 3)$ *

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Published 2016 November 17 © 2016. The American Astronomical Society. All rights reserved.
, , Citation Anahita Alavi et al 2016 ApJ 832 56 DOI 10.3847/0004-637X/832/1/56

0004-637X/832/1/56

ABSTRACT

We present a robust measurement of the rest-frame UV luminosity function (LF) and its evolution during the peak epoch of cosmic star formation at $1\lt z\lt 3$. We use our deep near-ultraviolet imaging from WFC3/UVIS on the Hubble Space Telescope and existing Advanced Camera for Surveys (ACS)/WFC and WFC3/IR imaging of three lensing galaxy clusters, Abell 2744 and MACS J0717 from the Hubble Frontier Field survey and Abell 1689. Combining deep UV imaging and high magnification from strong gravitational lensing, we use photometric redshifts to identify 780 ultra-faint galaxies with ${M}_{\mathrm{UV}}\lt -12.5$ AB mag at $1\lt z\lt 3$. From these samples, we identified five new, faint, multiply imaged systems in A1689. We run a Monte Carlo simulation to estimate the completeness correction and effective volume for each cluster using the latest published lensing models. We compute the rest-frame UV LF and find the best-fit faint-end slopes of $\alpha =-1.56\pm 0.04$, $\alpha =-1.72\pm 0.04$, and $\alpha =-1.94\pm 0.06$ at $1.0\lt z\lt 1.6$, $1.6\lt z\lt 2.2$, and $2.2\lt z\lt 3.0$, respectively. Our results demonstrate that the UV LF becomes steeper from $z\sim 1.3$ to $z\sim 2.6$ with no sign of a turnover down to ${M}_{\mathrm{UV}}=-14$ AB mag. We further derive the UV LFs using the Lyman break "dropout" selection and confirm the robustness of our conclusions against different selection methodologies. Because the sample sizes are so large and extend to such faint luminosities, the statistical uncertainties are quite small, and systematic uncertainties (due to the assumed size distribution, for example) likely dominate. If we restrict our analysis to galaxies and volumes above $\gt 50 \% $ completeness in order to minimize these systematics, we still find that the faint-end slope is steep and getting steeper with redshift, though with slightly shallower (less negative) values ($\alpha =-1.55\pm 0.06$, −1.69 ± 0.07, and −1.79 ± 0.08 for $z\sim 1.3$, 1.9, and 2.6, respectively). Finally, we conclude that the faint star-forming galaxies with UV magnitudes of $-18.5\lt {M}_{\mathrm{UV}}\lt -12.5$ covered in this study produce the majority (55%–60%) of the unobscured UV luminosity density at $1\lt z\lt 3$.

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Footnotes

  • Some of the data presented herein were obtained at the W.M. Keck Observatory, which is operated as a scientific partnership among the California Institute of Technology, the University of California, and the National Aeronautics and Space Administration. The Observatory was made possible by the generous financial support of the W.M. Keck Foundation.

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    To be consistent with other studies, we quote these limits in terms of ${L}_{z=3}^{* }$, i.e., ${M}_{1700,{AB}}^{* }=-21.07$, from Steidel et al. (1999).

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    The normalized median absolute deviation is defined as ${\sigma }_{\mathrm{NMAD}}=1.48\times \mathrm{median}(| {\rm{\Delta }}z-\mathrm{median}({\rm{\Delta }}z)| /(1+z))$ (Ilbert et al. 2006; Brammer et al. 2008). Unlike the usual standard deviation, ${\sigma }_{\mathrm{NMAD}}$ is not sensitive to the presence of outliers.

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    We define the faint galaxies based on the limiting magnitude used in our sample selection criteria (see Section 6). They are defined to have a signal-to-noise ratio (S/N) < 5 in either detection filter or the rest-frame 1500 Å filter.

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    The Q parameter (see Equation (8) in Brammer et al. 2008) combines the reduced-${\chi }^{2}$ of the fitting procedure with the width of the $68 \% $ confidence interval of the redshift probability distribution function to present an estimate of the reliability of the output redshift.

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    We note that for the same experiment, the effective volumes of the LBG samples (see Appendix B) show slightly larger change at bright luminosities. This can be understood by considering that the color–color criteria select against very reddened galaxies. However, our final estimates of the best-fit LFs (for both sample selections) are robust against these different initial assumptions of dust reddening distribution.

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    The circularized effective radius is defined as ${r}_{e}={r}_{e,\mathrm{major}}\sqrt{q}$, where ${r}_{e,\mathrm{major}}$ is the half-light radius along the semimajor axis and q is the axis ratio. The circularized radius has been extensively used in other high-redshift size measurements (e.g., Mosleh et al. 2012; Ono et al. 2013).

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    In the future, when we complete the UV survey of HFFs, we will add four more clusters and consequently triple our sample size at z = 2.6. Therefore, our number density measurement for bright galaxies at this redshift will be more accurate.

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10.3847/0004-637X/832/1/56