The VIMOS VLT deep survey
The ultraviolet galaxy luminosity function and luminosity density at 3 ≤ z ≤ 4

S. Paltani, O. Le Fèvre, O. Ilbert, S. Arnouts, S. Bardelli, L. Tresse, G. Zamorani, E. Zucca, D. Bottini, B. Garilli, V. Le Brun, D. Maccagni, J.-P. Picat, R. Scaramella, M. Scodeggio, G. Vettolani, A. Zanichelli, C. Adami, M. Bolzonella, A. Cappi, S. Charlot, P. Ciliegi, T. Contini, S. Foucaud, P. Franzetti, I. Gavignaud, L. Guzzo, A. Iovino, H. J. McCracken, B. Marano, C. Marinoni, A. Mazure, B. Meneux, R. Merighi, R. Pellò, A. Pollo, L. Pozzetti, M. Radovich, M. Bondi, A. Bongiorno, J. Brinchmann, O. Cucciati, S. de la Torre, F. Lamareille, Y. Mellier, P. Merluzzi, S. Temporin, D. Vergani, C. J. Walcher

Abstract
Aims. We study the luminosity function of the high-redshift galaxy population with redshifts 3 ≤ z ≤ 4 using a purely I-band magnitude-selected spectroscopic sample obtained in the framework of the VIMOS VLT Deep Survey (VVDS).
Methods. We determine the luminosity function from the VVDS, taking care to add as few assumptions and as simple corrections as possible, and compare our results with those obtained from photometric studies, based on Lyman-break selections or photometric-redshift measurements.
Results. We find that in the redshift range 3 ≤ z ≤ 4, the VVDS luminosity function is parameterized by φ∗ = 1.24+0.48 −0.50 × 10−3 mag−1 Mpc−3 and M∗ = −21.49+0.19 −0.19, assuming a slope α = −1.4 consistent with most previous studies. While φ∗ is comparable to previously found values, M∗ is significantly brighter by about 0.5mag at least. Using the conservative slope α = −1.4, we find a luminosity density at 1700 Å L1700(M < −18.5) = 2.4 × 1019 WMpc−3 and LTotal
1700 = 3.1 × 1019 WMpc−3, comparable to that estimated in other studies.
Conclusions. The unexpectedly large number of very bright galaxies found in the VVDS indicates that the color-selection and photometric-redshift techniques that are generally used to build high-redshift galaxy samples may be affected by a significant fraction of color-measurement failures or by incomplete modelling of the mix of stellar emission, AGN contribution, dust absorption and intergalactic extinction assumed to identify highredshift galaxies, making pure magnitude selection better able to trace the full population. Because of the difficulty to identify all low-luminosity
galaxies in a spectroscopic survey, the luminosity density could still be significantly underestimated. We also find that the relative contribution of the most luminous galaxies compared to the fainter ones is at least twice as large in the VVDS compared to former estimates. Therefore, the VVDS paints a quite different picture of the role of the most actively star-forming galaxies in the history of star formation.

Keywords
surveys – galaxies: high-redshift – galaxies: luminosity function, mass function – galaxies: statistics

Astronomy and Astrophysics
Volume 463, Page 873
March 2007

DOI: 10.1051/0004-6361:20066213
ADS Bibliographic code: 2007A&A...463..873P