Photometric mass and mass decomposition in early-type lens galaxies

TL;DR

This study combines SDSS photometry and lens modeling to analyze stellar and dark matter properties of early-type lens galaxies, revealing proportionality between total and luminous mass and estimating dark matter fractions.

Contribution

It provides new insights into the mass composition and scaling relations of early-type lens galaxies using combined photometric and lensing data, supporting the universality of these properties.

Findings

Total mass is linearly proportional to luminous mass with high confidence.

Dark matter constitutes about 30% of the total projected mass within Einstein radius.

Mass-to-light ratio evolution aligns with the Fundamental Plane predictions.

Abstract

By using the SDSS multicolor photometry and lens modeling, we study stellar mass properties and the luminous and dark matter composition of the 57 early-type lens galaxies analyzed by the SLACS Survey. We fit the lens SEDs composed of ugriz magnitudes with a three-parameter grid of different composite stellar population models, computed by adopting solar metallicity and various IMFs, and we employ the best-fit values of the total projected mass enclosed within the Einstein ring of each system. We measure size-stellar mass and surface stellar mass density-stellar mass relations consistent with those determined for non-lens galaxies. We find statistically significant evidence that more massive lens galaxies tend to form in regions of higher galaxy density, as for all early-type galaxies. We measure for the corresponding stellar quantities the same scaling law between effective mass-to-light ratio and mass, that is used to explain the "tilt" of the FP, and the same evolution of the effective mass-to-light ratio with redshift, that can be derived from the FP. We conclude that the lens total mass is linearly proportional to the luminous mass, at a more than 99% CL. In addition, by assuming that the lens galaxies are homologous systems, we study their distribution of dark matter and estimate a value on the order of 30% for the dark over total projected mass fraction contained within the average Einstein radius of approximately 4 kpc. These results suggest that early-type lens galaxies are an unbiased subsample representative of the whole sample of early-type galaxies. This allows us to generalize our findings on dark matter in lens galaxies to the population of massive early-type galaxies. We note that, for the assumed metallicity, a Salpeter IMF describes well the lens sample.