Misc,

Strong Gravitational Lensing and the Stellar IMF of Early-type Galaxies

, , , , , and .
(2015)cite arxiv:1512.00462Comment: submitted to MNRAS, 17 pages, 12 figures, 3 tables.

Abstract

The stellar initial mass function is an important ingredient in galaxy formation, mainly linking the luminosity of a galaxy to its stellar mass, and driving chemical enrichment. In recent years there has been an ongoing discussion about systematic variations of the IMF in early-type galaxies and its connection with possible drivers such as velocity dispersion or metallicity. Strong gravitational lensing over galaxy scales in combination with photometric and spectroscopic data provides a powerful method to constrain the stellar mass-to-light ratio and hence the functional form of the IMF. We combine photometric and spectroscopic constraints from the latest set of population synthesis models of Charlot & Bruzual, including a varying IMF, with a non-parametric analysis of the lensing mass in a sample of 18 early-type lens galaxies from the SLACS survey, with velocity dispersions in the range 200-300 km/s. We find that very bottom-heavy IMFs are excluded. However, the upper limit to the IMF slope ($2.2$ for a bimodal IMF, taking into account a 20-30% contribution to the lensing mass from dark matter, where $\mu=1.3$ corresponds to a Kroupa-like IMF) is compatible at the $1\sigma$ level with the constraints imposed by gravity-sensitive line strengths. A two-segment power law parameterisation of the IMF (keeping its index at the high mass end fixed at the Salpeter value) is more constrained ($\Gammałesssim1.5$, where $\Gamma$ is the power index at the low-mass end). Furthermore we find that for a standard Milky Way-like IMF to be applicable a significant amount of dark matter is required within an effective radius. Our results reveal a large scatter regarding possible values of the IMF slope, suggesting that the recent lenses of Smith et al. - who find a Milky Way-like IMF in a few massive lensing early-type galaxies - may be explained by such a scatter. (Abridged)

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