On the Interpretation of Far-infrared Spectral Energy Distributions. I: The 850 $\mu$m Molecular Mass Estimator

TL;DR

This study uses cosmological simulations and dust radiative transfer to evaluate the effectiveness of 850 μm luminosity as a molecular gas mass estimator across a wide redshift range, highlighting the impact of dust-to-gas ratios and metallicity.

Contribution

It demonstrates that empirical calibrations of 850 μm luminosity accurately estimate molecular gas mass in simulated galaxies and explores the effects of dust properties and metallicity variations.

Findings

Empirical L850-Mmol calibrations recover molecular gas mass accurately.

Scatter in the relation is mainly due to variations in gas-to-dust ratio.

Calibration remains valid for massive galaxies but deviates at low metallicity.

Abstract

We use a suite of cosmological zoom galaxy formation simulations and dust radiative transfer calculations to explore the use of the monochromatic $850~\mu m$ luminosity (L$_{\rm \nu,850}$) as a molecular gas mass (M$_{\rm mol}$) estimator in galaxies between $0 < z < 9.5$ for a broad range of masses. For our fiducial simulations, where we assume the dust mass is linearly related to the metal mass, we find that empirical L$_{\rm \nu,850}$-M$_{\rm mol}$ calibrations accurately recover the molecular gas mass of our model galaxies, and that the L$_{\rm \nu,850}$-dependent calibration is preferred. We argue the major driver of scatter in the L$_{\rm \nu,850}$-M$_{\rm mol}$ relation arises from variations in the molecular gas to dust mass ratio, rather than variations in the dust temperature, in agreement with the previous study of Liang et al. Emulating a realistic measurement strategy with ALMA observing bands that are dependent on the source redshift, we find that estimating S$_{\rm \nu,850}$ from continuum emission at a different frequency contributes $10-20\%$ scatter to the L$_{\rm \nu,850}$-M$_{\rm mol}$ relation. This additional scatter arises from a combination of mismatches in assumed T$_{dust}$ and $\beta$ values, as well as the fact that the SEDs are not single-temperature blackbodies.Finally we explore the impact of a dust prescription in which the dust-to-metals ratio varies with metallicity. Though the resulting mean dust temperatures are $\sim50\%$ higher, the dust mass is significantly decreased for low-metallicity halos. As a result, the observationally calibrated L$_{\rm \nu,850}$-M$_{\rm mol}$ relation holds for massive galaxies, independent of the dust model, but below L$_{\rm \nu,850}\lesssim10^{28}$ erg s$^{-1}$ (metallicities $\log_{10}({\rm Z}/{\rm Z}_{\odot})\lesssim -0.8$) we expect galaxies may deviate from literature observational calibrations by $\gtrsim0.5$ dex.