Systematic variation of the stellar Initial Mass Function with velocity dispersion in early-type galaxies

TL;DR

This study finds a strong correlation between galaxy velocity dispersion and the stellar initial mass function, indicating more massive galaxies have a higher proportion of low-mass stars, using spectral analysis of a large ETG sample.

Contribution

It provides observational evidence linking velocity dispersion to IMF variation in early-type galaxies, utilizing a large dataset and advanced spectral modeling.

Findings

Massive galaxies have bottom-heavy IMFs with more low-mass stars.

IMF slope increases with galaxy velocity dispersion.

Low-mass ETGs are consistent with a Kroupa-like IMF.

Abstract

An essential component of galaxy formation theory is the stellar initial mass function (IMF), that describes the parent distribution of stellar mass in star forming regions. We present observational evidence in a sample of early-type galaxies (ETGs) of a tight correlation between central velocity dispersion and the strength of several absorption features sensitive to the presence of low-mass stars. Our sample comprises ~40,000 ETGs from the SPIDER survey (z<0.1). The data, extracted from the Sloan Digital Sky Survey, are combined, rejecting both noisy data, and spectra with contamination from telluric lines, resulting in a set of 18 stacked spectra at high signal-to-noise ratio (S/N> 400 per A). A combined analysis of IMF-sensitive line strengths and spectral fitting is performed with the latest state-of the art population synthesis models (an extended version of the MILES models). A significant trend is found between IMF slope and velocity dispersion, towards an excess of low-mass stars in the most massive galaxies. Although we emphasize that accurate values of the IMF slope will require a detailed analysis of chemical composition (such as [a/Fe] or even individual element abundance ratios), the observed trends suggest that low-mass ETGs are better fit by a Kroupa-like IMF, whereas massive galaxies require bottom-heavy IMFs, exceeding the Salpeter slope at velocity dispersions above 200km/s.