Optical-Infrared Colour Distribution of a Statistically-Complete Sample of Faint Field Spheroidal Galaxies

Abstract

In hierarchical models, where spheroidals are primarily produced via the merger of disk galaxies, the number of intrinsically red systems at faint limits will be substantially lower than that expected in "traditional" models where the bulk of star formation was completed at high redshifts. We analyse the optical--near-infrared colour distribution of a large flux-limited sample of field spheroidal galaxies identified morphologically from archival Hubble Space Telescope data. The $I_{814}-HK'$ colour distribution for a sample jointly limited at $I_{814}<$23 mag and $HK'<$19.5 mag is used to constrain the star formation history of elliptical and S0 galaxies. We detect a significant deficit of intrinsically red spheroids. From limited spectroscopic and deeper photometric redshift data, we demonstrate that this deficit results from a strong evolutionary effect. The space density of spheroidals of all colours at faint limits is lower than expected for a population of constant comoving density. We conclude that field ellipticals cannot have formed all of their stars at high redshift, as has been suggested for the bulk of their clustered counterparts. We compare alternative evolutionary histories with our data, including an analytical representation of recent models based on the hierarchical assembly of ellipticals, which provides a better, though not ideal fit. The accumulation of spectroscopic redshifts for our sample will allow a quantitative discrimination between models with extended star formation.