The bivariate K-band-submillimetre luminosity functions of the local HRS galaxy sample

Abstract

We study the relationship between the K-band and the sub-millimetre (submm) emissions of nearby galaxies by computing the bivariate K-band-submm luminosity function (BLF) of the Herschel Reference Survey (HRS), a volume-limited sample observed in submm with Hersche/SPIRE. We derive the BLF from the K-band and submm cumulative distributions using a copula method. Using the BLF allows us to derive the relationship between the luminosities on more solid statistical ground. The analysis shows that over the whole HRS sample, no statistically meaningful conclusion can be derived for any relationship between the K-band and the submm luminosity. However, a very tight relationship between these luminosities is highlighted, by restricting our analysis to late-type galaxies. The luminosity function of late-type galaxies computed in the K-band and in the submm are dependent and the dependence is caused by the link, between the stellar mass and the cold dust mass, which has been already observed

A&A, in press

References in corpus (4)

• The evolution of the dust and gas content in galaxies
• A fast Bayesian approach to discrete object detection in astronomical datasets - PowellSnakes I
• Herschel-ATLAS/GAMA: a census of dust in optically selected galaxies from stacking at submillimetre wavelengths
• The Herschel-ATLAS: Evolution of the 250um luminosity function out to z=0.5

Cited by in corpus (6)

• Do unequal-mass binary black hole systems have larger ${\chi }_{\text{eff}}$? Probing correlations with copulas in gravitational-wave astronomy
• Infrared luminosity functions and dust mass functions in the EAGLE simulation
• The bivariate luminosity and mass functions of the local HRS galaxy sample. The stellar, dust, gas mass functions
• Constructing a multivariate distribution function with a vine copula: toward multivariate luminosity and mass functions
• The Molecular Mass function of the Local Universe
• Modeling high-dimensional dependence among astronomical data