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Luminosity and surface brightness distribution of K-band galaxies from the UKIDSS Large Area Survey
Authors:Anthony J Smith  Jon Loveday  Nicholas J G Cross
Institution:Astronomy Centre, University of Sussex, Falmer, Brighton BN1 9QH;Scottish Universities Physics Alliance, Institute for Astronomy, University of Edinburgh, Royal Observatory, Edinburgh EH9 3HJ
Abstract:We present luminosity and surface-brightness distributions of 40 111 galaxies with K -band photometry from the United Kingdom Infrared Telescope (UKIRT) Infrared Deep Sky Survey (UKIDSS) Large Area Survey (LAS), Data Release 3 and optical photometry from Data Release 5 of the Sloan Digital Sky Survey (SDSS). Various features and limitations of the new UKIDSS data are examined, such as a problem affecting Petrosian magnitudes of extended sources. Selection limits in K - and r -band magnitude, K -band surface brightness and K -band radius are included explicitly in the  1/ V max  estimate of the space density and luminosity function. The bivariate brightness distribution in K -band absolute magnitude and surface brightness is presented and found to display a clear luminosity–surface brightness correlation that flattens at high luminosity and broadens at low luminosity, consistent with similar analyses at optical wavelengths. Best-fitting Schechter function parameters for the K -band luminosity function are found to be   M *? 5 log  h =?23.19 ± 0.04, α=?0.81 ± 0.04  and  φ*= (0.0166 ± 0.0008)  h 3 Mpc?3  , although the Schechter function provides a poor fit to the data at high and low luminosity, while the luminosity density in the K band is found to be   j = (6.305 ± 0.067) × 108 L  h  Mpc?3  . However, we caution that there are various known sources of incompleteness and uncertainty in our results. Using mass-to-light ratios determined from the optical colours, we estimate the stellar mass function, finding good agreement with previous results. Possible improvements are discussed that could be implemented when extending this analysis to the full LAS.
Keywords:surveys  galaxies: fundamental parameters  galaxies: luminosity function  mass function  galaxies: statistics  infrared: galaxies
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