Published February 2024 | Version Published
Journal Article Open

[C II] 158 μm emission as an indicator of galaxy star formation rate

  • 1. ROR icon Canadian Institute for Theoretical Astrophysics
  • 2. ROR icon University of Zurich
  • 3. ROR icon University of Florida
  • 4. ROR icon University of Copenhagen
  • 5. ROR icon Flatiron Institute
  • 6. ROR icon University of Connecticut
  • 7. ROR icon University of Hull
  • 8. ROR icon Northwestern University
  • 9. ROR icon University of Toronto
  • 10. ROR icon University of California, San Diego
  • 11. ROR icon California Institute of Technology

Abstract

Observations of local star-forming galaxies (SFGs) show a tight correlation between their singly ionized carbon line luminosity (⁠⁠L[C II]) and star formation rate (SFR), suggesting that ⁠⁠L[C II] may be a useful SFR tracer for galaxies. Some other galaxy populations, however, are found to have lower ⁠⁠L[C II]/SFR than local SFGs, including the infrared (IR)-luminous, starburst galaxies at low and high redshifts as well as some moderately SFGs at the epoch of re-ionization (EoR). The origins of this ‘[C II] deficit’ is unclear. In this work, we study the L[C II]–SFR relation of galaxies using a sample of z = 0–8 galaxies with M* ≈ 10⁷ - 5 x 10¹¹ M⊙ extracted from cosmological volume and zoom-in simulations from the Feedback in Realistic Environments (fire) project. We find a simple analytic expression for L[C II]/SFR of galaxies in terms of the following parameters: mass fraction of [C II]-emitting gas (⁠⁠f[C II]), gas metallicity (Zgas), gas density (ngas), and gas depletion time (⁠⁠tdep = Mgas/SFR). We find two distinct physical regimes: H₂-rich galaxies, where tdep is the main driver of the [C II] deficit and H₂-poor galaxies where Zgas is the main driver. The observed [C II] deficit of IR-luminous galaxies and early EoR galaxies, corresponding to the two different regimes, is due to short gas depletion time and low gas metallicity, respectively. Our result indicates that the [C II] deficit is a common phenomenon of galaxies, and caution needs to be taken when applying a constant L[C II]-to-SFR conversion factor derived from local SFGs to estimate cosmic SFR density at high redshifts and interpret data from upcoming [C II] line intensity mapping experiments.

Copyright and License

© 2023 The Author(s). Published by Oxford University Press on behalf of Royal Astronomical Society.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Acknowledgement

We thank the anonymous referee for useful comments which have helped improved the quality of this manuscript. LL acknowledges financial support from the Swiss National Science Foundation (hereafter SNSF) (grant no. P2ZHP2_199729) and the University of Toronto Faculty of Arts and Science. RF acknowledges financial support from the SNSF (grant no. PP00P2_194814, 200021_188552). NM was supported by the Natural Sciences and Engineering Research Council of Canada (grant no. RGPIN-2023-04901). DN acknowledges funding from the NSF via AST-1909153. DAA acknowledges support by NSF grants AST-2009687 and AST-2108944, CXO grant TM2-23006X, and Simons Foundation award CCA-1018464. LB acknowledge financial support from the SNSF (grant no .PP00P2_194814). CAFG was supported by NSF through grants AST-1715216, AST-2108230, and CAREER award AST-1652522; by NASA through grants 17-ATP17-0067 and 21-ATP21-0036; by STScI through grants HST-AR-16124.001-A and HST-GO-16730.016-A; by CXO through grant TM2-23005X; and by the Research Corporation for Science Advancement (RCSA) through a Cottrell Scholar Award. DTC is supported by a CITA/Dunlap Institute postdoctoral fellowship. DTC also acknowledges support through the Vincent and Beatrice Tremaine Postdoctoral Fellowship at CITA during the preparation and review of this work. JYHC acknowledges support from a CITA postdoctoral fellowship. DK were supported by NSF grant AST-1715101 and the Cottrell Scholar Award from the RCSA. Support for PFH was provided by NSF research grants 1911233, 20009234, 2108318, NSF CAREER grant 1455342, NASA grants 80NSSC18K0562 andHST-AR-15800. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-2210452. The Dunlap Institute is funded through an endowment established by the David Dunlap family and the University of Toronto. The Flatiron Institute is supported by the Simons Foundation.

We acknowledge PRACE for awarding us access to MareNostrum at the Barcelona Supercomputing Center (BSC), Spain. This research was partly carried out via the Frontera computing project at the Texas Advanced Computing Center. Frontera is made possible by National Science Foundation award OAC-1818253. Computations were performed on the Niagara supercomputer at the SciNet HPC Consortium. SciNet is funded by Innovation, Science and Economic Development Canada; the Digital Research Alliance of Canada; the Ontario Research Fund: Research Excellence; and the University of Toronto. This work was supported in part by a grant from the Swiss National Supercomputing Centre (CSCS) under project IDs s697 and s698. We acknowledge access to Piz Daint at the Swiss National Supercomputing Centre, Switzerland under the University of Zurich’s share with the project ID uzh18. This work made use of infrastructure services provided by S3IT (www.s3it.uzh.ch), the Service and Support for Science IT team at the University of Zurich.

The authors would also like to acknowledge the use of AI language model ChatGPT (GPT-3.5, https://chat.openai.com/) for assistance in refining the writing and language of this manuscript.

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Additional details

Related works

Is new version of
Discussion Paper: arXiv:2301.04149 (arXiv)

Funding

Swiss National Science Foundation
P2ZHP2_199729
University of Toronto
Swiss National Science Foundation
PP00P2_194814
Swiss National Science Foundation
200021_188552
Natural Sciences and Engineering Research Council
RGPIN-2023-04901
National Science Foundation
AST-1909153
National Science Foundation
AST-2009687
National Science Foundation
AST-2108944
Simons Foundation
CCA-1018464
National Science Foundation
AST-1715216
National Science Foundation
AST-2108230
National Science Foundation
AST-1652522
National Aeronautics and Space Administration
17-ATP17-0067
National Aeronautics and Space Administration
21-ATP21-0036
Space Telescope Science Institute
HST-AR-16124.001-A
Space Telescope Science Institute
HST-GO-16730.016-A
Space Telescope Science Institute
TM2-23005X
Research Corporation for Science Advancement
Canadian Institute for Theoretical Astrophysics
National Science Foundation
AST-1715101
National Science Foundation
1911233
National Science Foundation
20009234
National Science Foundation
2108318
National Science Foundation
1455342
National Aeronautics and Space Administration
80NSSC18K0562
National Aeronautics and Space Administration
HST-AR-15800
National Science Foundation
PHY-2210452
National Science Foundation
OAC-1818253
Innovation, Science and Economic Development Canada
University of Zurich

Dates

Submitted
2023-01-10
Accepted
2023-12-04
Available
2023-12-11
Published
Available
2024-01-17
Corrected and typeset

Caltech Custom Metadata

Caltech groups
Astronomy Department, TAPIR, Walter Burke Institute for Theoretical Physics, Division of Physics, Mathematics and Astronomy (PMA)
Publication Status
Published