# PHIBSS: Unified Scaling Relations of Gas Depletion Time and Molecular Gas Fractions

## TL;DR

This study updates the scaling relations between molecular gas, stellar mass, and star formation rates in galaxies across redshifts 0 to 4, revealing consistent trends across different measurement methods and providing insights into galaxy evolution.

## Contribution

It presents a unified analysis of molecular gas scaling relations using multiple independent methods, confirming their consistency and detailing their evolution with redshift and star formation activity.

## Key findings

- Molecular gas depletion time scales as (1+z)^{-0.6} and weakly depends on stellar mass.
- Molecular-to-stellar mass ratio increases with redshift as (1+z)^{2.5}.
- Scaling relations are consistent across different measurement techniques.

## Abstract

This paper provides an update of our previous scaling relations (Genzel et al.2015) between galaxy integrated molecular gas masses, stellar masses and star formation rates, in the framework of the star formation main-sequence (MS), with the main goal to test for possible systematic effects. For this purpose our new study combines three independent methods of determining molecular gas masses from CO line fluxes, far-infrared dust spectral energy distributions, and ~1mm dust photometry, in a large sample of 1444 star forming galaxies (SFGs) between z=0 and 4. The sample covers the stellar mass range log(M*/M_solar)=9.0-11.8, and star formation rates relative to that on the MS, delta_MS=SFR/SFR(MS), from 10^{-1.3} to 10^{2.2}. Our most important finding is that all data sets, despite the different techniques and analysis methods used, follow the same scaling trends, once method-to-method zero point offsets are minimized and uncertainties are properly taken into account. The molecular gas depletion time t_depl, defined as the ratio of molecular gas mass to star formation rate, scales as (1+z)^{-0.6}x(delta_MS)^{-0.44}, and is only weakly dependent on stellar mass. The ratio of molecular-to-stellar mass mu_gas depends on (1+z)^{2.5}x (delta_MS)^{0.52}x(M*)^{-0.36}, which tracks the evolution of the specific star formation rate. The redshift dependence of mu_gas requires a curvature term, as may the mass-dependences of t_depl and mu_gas. We find no or only weak correlations of t_depl and mu_gas with optical size R or surface density once one removes the above scalings, but we caution that optical sizes may not be appropriate for the high gas and dust columns at high-z.

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Source: https://tomesphere.com/paper/1702.01140