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Deciphering coupled scalar dark sectors

Saba Rahimy1,*, Elsa M. Teixeira2,†, and Ivonne Zavala1,‡

  • *Contact author: saba.rahimy@gmail.com
  • †Contact author: elsa.teixeira@umontpellier.fr
  • ‡Contact author: e.i.zavalacarrasco@swansea.ac.uk
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Phys. Rev. D 112, 043512 – Published 13 August, 2025

DOI: https://doi.org/10.1103/8hgv-l6ph

Abstract

Coupled dark sector models have gained significant attention, motivated by recent advances in cosmology and the pressing need to address unresolved puzzles. In this work, we study coupled scalar dark sector models inspired by ultraviolet-complete frameworks such as supergravity and string theory. These models involve scalar couplings arising either from their kinetic terms, through a nontrivial field space metric, or from their scalar potential. We demonstrate how these couplings can be elegantly formulated in terms of an interacting vector, a standard tool in coupled dark sector studies, and analyse their distinct cosmological effects using a dynamical systems approach. Using this framework, we further investigate an axio-dilaton system recently explored in the literature, where the dilaton also couples to baryons. Intriguingly, we show that certain kinetic and potential interactions may mimic one another or even cancel out, making them observationally indistinguishable. If such a distinction becomes possible through observational constraints, it could provide valuable insights into the underlying field space metric and its connection to fundamental physics.

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References (70)

  1. W. Zimdahl, Models of interacting dark energy, AIP Conf. Proc. 1471, 51 (2012).
  2. Y. L. Bolotin, A. Kostenko, O. A. Lemets, and D. A. Yerokhin, Cosmological evolution with interaction between dark energy and dark matter, Int. J. Mod. Phys. D 24, 1530007 (2014).
  3. B. Wang, E. Abdalla, F. Atrio-Barandela, and D. Pavon, Dark matter and dark energy interactions: Theoretical challenges, cosmological implications and observational signatures, Rep. Prog. Phys. 79, 096901 (2016).
  4. S. Bahamonde, C. G. Böhmer, S. Carloni, E. J. Copeland, W. Fang, and N. Tamanini, Dynamical systems applied to cosmology: Dark energy and modified gravity, Phys. Rep. 775–777, 1 (2018).
  5. B. Wang, E. Abdalla, F. Atrio-Barandela, and D. Pavón, Further understanding the interaction between dark energy and dark matter: Current status and future directions, Rep. Prog. Phys. 87, 036901 (2024).
  6. D. Comelli, M. Pietroni, and A. Riotto, Dark energy and dark matter, Phys. Lett. B 571, 115 (2003).
  7. H. E. S. Velten, R. F. vom Marttens, and W. Zimdahl, Aspects of the cosmological “coincidence problem,” Eur. Phys. J. C 74, 3160 (2014).
  8. C. P. Burgess, The cosmological constant problem: Why it’s hard to get dark energy from micro-physics, in 100e Ecole d’Ete de Physique: Post-Planck Cosmology (2015), pp. 149–197, https://doi.org/10.1093/acprof:oso/9780198728856.003.0004.
  9. W. Yang, A. Mukherjee, E. Di Valentino, and S. Pan, Interacting dark energy with time varying equation of state and the H0 tension, Phys. Rev. D 98, 123527 (2018).
  10. R.-Y. Guo, J.-F. Zhang, and X. Zhang, Can the H0 tension be resolved in extensions to ΛCDM cosmology?, J. Cosmol. Astropart. Phys. 02 (2019) 054.
  11. E. Di Valentino, A. Melchiorri, O. Mena, and S. Vagnozzi, Interacting dark energy in the early 2020s: A promising solution to the H0 and cosmic shear tensions, Phys. Dark Universe 30, 100666 (2020).
  12. M. B. Gavela, D. Hernandez, L. Lopez Honorez, O. Mena, and S. Rigolin, Dark coupling, J. Cosmol. Astropart. Phys. 07 (2009) 034; 05 (2010) E01.
  13. W. Yang, S. Pan, and D. F. Mota, Novel approach toward the large-scale stable interacting dark-energy models and their astronomical bounds, Phys. Rev. D 96, 123508 (2017).
  14. E. Di Valentino, A. Melchiorri, and O. Mena, Can interacting dark energy solve the H0 tension?, Phys. Rev. D 96, 043503 (2017).
  15. W. Yang, S. Pan, E. Di Valentino, R. C. Nunes, S. Vagnozzi, and D. F. Mota, Tale of stable interacting dark energy, observational signatures, and the H0 tension, J. Cosmol. Astropart. Phys. 09 (2018) 019.
  16. W. Yang, S. Pan, O. Mena, and E. Di Valentino, On the dynamics of a dark sector coupling, J. High Energy Astrophys. 40, 19 (2023).
  17. W. Yang, O. Mena, S. Pan, and E. Di Valentino, Dark sectors with dynamical coupling, Phys. Rev. D 100, 083509 (2019).
  18. W. Yang, E. Di Valentino, O. Mena, S. Pan, and R. C. Nunes, All-inclusive interacting dark sector cosmologies, Phys. Rev. D 101, 083509 (2020).
  19. R. C. Nunes, S. Vagnozzi, S. Kumar, E. Di Valentino, and O. Mena, New tests of dark sector interactions from the full-shape galaxy power spectrum, Phys. Rev. D 105, 123506 (2022).
  20. C. van de Bruck, G. Poulot, and E. M. Teixeira, Scalar field dark matter and dark energy: A hybrid model for the dark sector, J. Cosmol. Astropart. Phys. 07 (2023) 019.
  21. E. Di Valentino, A. Melchiorri, O. Mena, and S. Vagnozzi, Nonminimal dark sector physics and cosmological tensions, Phys. Rev. D 101, 063502 (2020).
  22. M. A. van der Westhuizen and A. Abebe, Interacting dark energy: Clarifying the cosmological implications and viability conditions, J. Cosmol. Astropart. Phys. 01 (2024) 048.
  23. W. Giarè, Y. Zhai, S. Pan, E. Di Valentino, R. C. Nunes, and C. van de Bruck, Tightening the reins on non-minimal dark sector physics: Interacting dark energy with dynamical and non-dynamical equation of state, Phys. Rev. D 110, 063527 (2024).
  24. T.-N. Li, P.-J. Wu, G.-H. Du, S.-J. Jin, H.-L. Li, J.-F. Zhang, and X. Zhang, Constraints on interacting dark energy models from the DESI baryon acoustic oscillation and DES supernovae data, Astrophys. J. 976, 1 (2024).
  25. W. Giarè, M. A. Sabogal, R. C. Nunes, and E. Di Valentino, Interacting dark energy after DESI baryon acoustic oscillation measurements, Phys. Rev. Lett. 133, 251003 (2024).
  26. C. Wetterich, The Cosmon model for an asymptotically vanishing time dependent cosmological ’constant’, Astron. Astrophys. 301, 321 (1995).
  27. L. Amendola, Coupled quintessence, Phys. Rev. D 62, 043511 (2000).
  28. M. Axenides and K. Dimopoulos, Hybrid dark sector: Locked quintessence and dark matter, J. Cosmol. Astropart. Phys. 07 (2004) 010.
  29. J. Beyer, S. Nurmi, and C. Wetterich, Coupled dark energy and dark matter from dilatation anomaly, Phys. Rev. D 84, 023010 (2011).
  30. D. J. E. Marsh, The axiverse extended: Vacuum destabilisation, early dark energy and cosmological collapse, Phys. Rev. D 83, 123526 (2011).
  31. D. J. E. Marsh, E. R. M. Tarrant, E. J. Copeland, and P. G. Ferreira, Cosmology of axions and moduli: A dynamical systems approach, Phys. Rev. D 86, 023508 (2012).
  32. J. Beyer and C. Wetterich, Small scale structures in coupled scalar field dark matter, Phys. Lett. B 738, 418 (2014).
  33. G. D’Amico, T. Hamill, and N. Kaloper, Quantum field theory of interacting dark matter and dark energy: Dark monodromies, Phys. Rev. D 94, 103526 (2016).
  34. M. Carrillo González and M. Trodden, Field theories and fluids for an interacting dark sector, Phys. Rev. D 97, 043508 (2018).
  35. M. Carrillo González and M. Trodden, Field theories and fluids for an interacting dark sector, Phys. Rev. D 97, 043508 (2018).
  36. D. Benisty and E. I. Guendelman, Unified dark energy and dark matter from dynamical spacetime, Phys. Rev. D 98, 023506 (2018).
  37. R. Brandenberger, J. Fröhlich, and R. Namba, Unified dark matter, dark energy and baryogenesis via a “cosmological wetting transition,” J. Cosmol. Astropart. Phys. 09 (2019) 069.
  38. R. Brandenberger and J. Fröhlich, Dark energy, dark matter and baryogenesis from a model of a complex axion field, J. Cosmol. Astropart. Phys. 04 (2021) 030.
  39. J. P. Johnson and S. Shankaranarayanan, Cosmological perturbations in the interacting dark sector: Mapping fields and fluids, Phys. Rev. D 103, 023510 (2021).
  40. P. M. Sá, Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology, Phys. Rev. D 102, 103519 (2020).
  41. P. M. Sá, Late-time evolution of the Universe within a two-scalar-field cosmological model, Phys. Rev. D 103, 123517 (2021).
  42. J. P. Johnson, A. Sangwan, and S. Shankaranarayanan, Observational constraints and predictions of the interacting dark sector with field-fluid mapping, J. Cosmol. Astropart. Phys. 01 (2022) 024.
  43. G. Liu, Z. Zhou, Y. Mu, and L. Xu, Alleviating cosmological tensions with a coupled scalar fields model, Phys. Rev. D 108, 083523 (2023).
  44. J. M. Gomes, E. Hardy, and S. Parameswaran, Dark energy with the help of interacting dark sectors, Phys. Rev. D 110, 023533 (2024).
  45. G. Garcia-Arroyo, L. A. Ureña López, and J. A. Vázquez, Interacting scalar fields: Dark matter and early dark energy, Phys. Rev. D 110, 023529 (2024).
  46. G. Poulot, E. M. Teixeira, C. van de Bruck, and N. J. Nunes, Scalar field dark matter with time-varying equation of state, arXiv:2404.10524.
  47. A. Aboubrahim and P. Nath, Interacting ultralight dark matter and dark energy and fits to cosmological data in a field theory approach, J. Cosmol. Astropart. Phys. 09 (2024) 076.
  48. A. Smith, M. Mylova, P. Brax, C. van de Bruck, C. P. Burgess, and A.-C. Davis, CMB implications of multi-field axio-dilaton cosmology, J. Cosmol. Astropart. Phys. 12 (2024) 058.
  49. A. Smith, M. Mylova, P. Brax, C. van de Bruck, C. P. Burgess, and A.-C. Davis, A minimal axio-dilaton dark sector, arXiv:2410.11099.
  50. C. Armendariz-Picon, T. Damour, and V. F. Mukhanov, k—inflation, Phys. Lett. B 458, 209 (1999).
  51. D. Langlois and S. Renaux-Petel, Perturbations in generalized multi-field inflation, J. Cosmol. Astropart. Phys. 04 (2008) 017.
  52. T. Chiba, T. Okabe, and M. Yamaguchi, Kinetically driven quintessence, Phys. Rev. D 62, 023511 (2000).
  53. C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, A dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration, Phys. Rev. Lett. 85, 4438 (2000).
  54. C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Essentials of k essence, Phys. Rev. D 63, 103510 (2001).
  55. E. Silverstein and D. Tong, Scalar speed limits and cosmology: Acceleration from D-cceleration, Phys. Rev. D 70, 103505 (2004).
  56. M. Alishahiha, E. Silverstein, and D. Tong, DBI in the sky, Phys. Rev. D 70, 123505 (2004).
  57. D. A. Easson, R. Gregory, D. F. Mota, G. Tasinato, and I. Zavala, Spinflation, J. Cosmol. Astropart. Phys. 02 (2008) 010.
  58. M. Cicoli, J. P. Conlon, A. Maharana, S. Parameswaran, F. Quevedo, and I. Zavala, String cosmology: From the early universe to today, Phys. Rep. 1059, 1 (2024).
  59. S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, Cosmological tests of quintessence in quantum gravity, J. Cosmol. Astropart. Phys. 04 (2025) 086.
  60. E. Silverstein and A. Westphal, Monodromy in the CMB: Gravity waves and string inflation, Phys. Rev. D 78, 106003 (2008).
  61. D. Andriot, S. Parameswaran, D. Tsimpis, T. Wrase, and I. Zavala, Exponential quintessence: Curved, steep and stringy?, J. High Energy Phys. 08 (2024) 117,
  62. Y. Akrami, R. Kallosh, A. Linde, and V. Vardanyan, The landscape, the Swampland and the era of precision cosmology, Fortschr. Phys. 67, 1800075 (2019).
  63. S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, Cosmological constraints on curved quintessence, J. Cosmol. Astropart. Phys. 09 (2024) 073.
  64. T. Rudelius, Dimensional reduction and (Anti) de Sitter bounds, J. High Energy Phys. 08 (2021) 041.
  65. C. M. Will, The confrontation between general relativity and experiment, Living Rev. Relativity 17, 4 (2014).
  66. B. Bertotti, L. Iess, and P. Tortora, A test of general relativity using radio links with the Cassini spacecraft, Nature (London) 425, 374 (2003).
  67. A. G. Adame et al. (DESI Collaboration), DESI 2024 VI: Cosmological constraints from the measurements of baryon acoustic oscillations, J. Cosmol. Astropart. Phys. 02 (2025) 021.
  68. T. M. C. Abbott et al. (DES Collaboration), The dark energy survey: Cosmology results with ∼1500 new high-redshift type Ia supernovae using the full 5-year dataset, Astrophys. J. Lett. 973, L14 (2024).
  69. V. Aragam, R. Chiovoloni, S. Paban, R. Rosati, and I. Zavala, Rapid-turn inflation in supergravity is rare and tachyonic, J. Cosmol. Astropart. Phys. 03 (2022) 002.
  70. S. Bhattacharya and I. Zavala, Sharp turns in axion monodromy: Primordial black holes and gravitational waves, J. Cosmol. Astropart. Phys. 04 (2023) 065.

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Information

Phys. Rev. D 112, 043512– Published 13 August, 2025
  • Received 17 March 2025
  • Accepted 22 July 2025
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