1. Reconciling M/L Ratios Across Cosmic Time: a Concordance IMF for Massive Galaxies
- Author
-
Pieter van Dokkum and Charlie Conroy
- Subjects
Galaxy evolution ,Early-type galaxies ,Galaxy formation ,Initial mass function ,Star formation ,Astrophysics ,QB460-466 - Abstract
The stellar initial mass function (IMF) is thought to be bottom heavy in the cores of the most massive galaxies, with an excess of low-mass stars compared to the Milky Way. However, studies of the kinematics of quiescent galaxies at 2 < z < 5 find M / L ratios that indicate lighter IMFs. Light IMFs have also been proposed for the unexpected populations of luminous galaxies that JWST has uncovered at z > 7 to reduce tensions with galaxy formation models. Here we explore “ski slope” IMFs that are simultaneously bottom heavy, with a steep slope at low stellar masses, and top heavy, with a shallow slope at high masses. We derive a form of the IMF for massive galaxies that is consistent with measurements in the local universe and yet produces relatively low M / L ratios at high redshift. This concordance IMF has slopes γ _1 = 2.40 ± 0.09, γ _2 = 2.00 ± 0.14, and γ _3 = 1.85 ± 0.11 in the regimes 0.08 M _⊙ – 0.5 M _⊙ , 0.5 M _⊙ – 1 M _⊙ , and >1 M _⊙ , respectively. The IMF parameter α , the mass excess compared to a Milky Way IMF, ranges from $\mathrm{log}(\alpha )\approx +0.3$ for present-day galaxies to $\mathrm{log}(\alpha )\approx -0.1$ for their star-forming progenitors. The concordance IMF applies only to the central regions of the most massive galaxies, with velocity dispersions σ ∼ 300 km s ^−1 , and their progenitors. However, it can be generalized using a previously measured relation between α and σ . We arrive at the following modification to the Kroupa (2001) IMF for galaxies with σ ≳ 160 km s ^−1 : ${\gamma }_{1}\approx 1.3+4.3\mathrm{log}{\sigma }_{160}$ , ${\gamma }_{2}\approx 2.3-1.2\mathrm{log}{\sigma }_{160}$ , and ${\gamma }_{3}\approx 2.3-1.7\mathrm{log}{\sigma }_{160}$ , with σ _160 = σ /160 km s ^−1 . If galaxies grow primarily inside out, so that velocity dispersions are relatively stable, these relations should also hold at high redshift.
- Published
- 2024
- Full Text
- View/download PDF