Published December 2023 | Published
Journal Article Open

The ALMA-ALPINE [CII] survey: Kennicutt-Schmidt relation in four massive main-sequence galaxies at z ∼ 4.5

  • 1. ROR icon Observatory of Strasbourg
  • 2. ROR icon French National Centre for Scientific Research
  • 3. ROR icon University of Geneva
  • 4. ROR icon University of Valparaíso
  • 5. ROR icon University of Padua
  • 6. ROR icon Osservatorio Astronomico di Padova
  • 7. ROR icon Infrared Processing and Analysis Center
  • 8. ROR icon University of Oxford
  • 9. ROR icon Hiroshima University
  • 10. ROR icon National Astronomical Observatory of Japan
  • 11. ROR icon Centro de Estudios de Física del Cosmos de Aragón
  • 12. ROR icon University of La Serena
  • 13. INAF – Osservatorio di Astrofisica e Scienza dello Spazio, Via Gobetti 93/3, 40129, Bologna, Italy
  • 14. ROR icon University of Tarapacá
  • 15. ROR icon University of Wisconsin–Madison
  • 16. ROR icon Institut d'Astrophysique de Paris
  • 17. ROR icon Scuola Normale Superiore di Pisa
  • 18. ROR icon Chiba University
  • 19. ROR icon University of Florence
  • 20. ROR icon Arcetri Astrophysical Observatory
  • 21. ROR icon University of Massachusetts Amherst
  • 22. ROR icon University of Bologna
  • 23. ROR icon Space Telescope Science Institute
  • 24. Center for Computational Astrophysics, Flatiron Institute, 162 Fifth Avenue, New York, NY, 10010, USA
  • 25. ROR icon University of California, Davis
  • 26. Gemini Observatory, NSF's NOIRLab, 670 N. A'ohoku Place, Hilo, Hawai'i, 96720, USA
  • 27. ROR icon University of Copenhagen
  • 28. ROR icon Technical University of Denmark
  • 29. ROR icon Chalmers University of Technology
  • 30. ROR icon University of Florida
  • 31. ROR icon University of Zurich
  • 32. ROR icon National Centre for Nuclear Research

Abstract

Aims. The Kennicutt-Schmidt (KS) relation between the gas and the star formation rate (SFR) surface density (Σgas − ΣSFR) is essential to understand star formation processes in galaxies. To date, it has been measured up to z ∼ 2.5 in main-sequence galaxies. In this Letter our aim is to put constraints at z ∼ 4.5 using a sample of four massive main-sequence galaxies observed by ALMA at high resolution.

Methods. We obtained ∼0.3″-resolution [CII] and continuum maps of our objects, which we then converted into gas and obscured SFR surface density maps. In addition, we produced unobscured SFR surface density maps by convolving Hubble ancillary data in the rest-frame UV. We then derived the average ΣSFR in various Σgas bins, and estimated the uncertainties using a Monte Carlo sampling.

Results. Our galaxy sample follows the KS relation measured in main-sequence galaxies at lower redshift, and is slightly lower than the predictions from simulations. Our data points probe the high end both in terms of Σgas and ΣSFR, and gas depletion timescales (285–843 Myr) remain similar to z ∼ 2 objects. However, three of our objects are clearly morphologically disturbed, and we could have expected shorter gas depletion timescales (≲100 Myr) similar to merger-driven starbursts at lower redshifts. This suggests that the mechanisms triggering starbursts at high redshift may be different than in the low- and intermediate-z Universe.

Copyright and License

© The Authors 2023. Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Acknowledgement

We thank Jackie Hodge for sharing her data compilation. This paper makes use of the following ALMA data: ADS/JAO.ALMA#2017.1.00428L, ADS/JAO.ALMA#2019.1.00226.S, ADS/JAO.ALMA#2022.1.01118.S. ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS (Japan), together with NRC (Canada), MOST and ASIAA (Taiwan), and KASI (Republic of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory is operated by ESO, AUI/NRAO and NAOJ. This work was supported by the Programme National Cosmology et Galaxies (PNCG) of CNRS/INSU with INP and IN2P3, co-funded by CEA and CNES. E.I. acknowledges funding by ANID FONDECYT Regular 1221846. The Flatiron Institute is supported by the Simons Foundation. G.G. acknowledges support from the grants PRIN MIUR 2017 - 20173ML3WW_001, ASI n.I/023/12/0 and INAF-PRIN 1.05.01.85.08. Médéric Boquien gratefully acknowledges support from the ANID BASAL project FB210003 and from the FONDECYT regular grant 1211000. G.E.M. acknowledges the Villum Fonden research grant 13160 “Gas to stars, stars to dust: tracing star formation across cosmic time,” grant 37440, “The Hidden Cosmos,” and the Cosmic Dawn Center of Excellence funded by the Danish National Research Foundation under the grant No. 140. This work was supported by NAOJ ALMA Scientific Research Grant Code 2021-19A (HSBA). M.R. acknowledges support from the Narodowe Centrum Nauki (UMO-2020/38/E/ST9/00077) and support from the Foundation for Polish Science (FNP) under the program START 063.2023. Y.F. acknowledges support from JSPS KAKENHI Grant Number JP23K13149.

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Additional details

Created:
September 8, 2025
Modified:
September 8, 2025