Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Cosmology of axion dark energy in supersymmetric models and constraints on high-scale parameters

Amin Aboubrahim1,2,*, Andrew H. Giman2,†, and Pran Nath3,‡

  • 1Department of Physics, University of Hartford, 200 Bloomfield Ave., West Hartford, Connecticut 06117, USA
  • 2Department of Physics and Astronomy, Union College, 807 Union Street, Schenectady, New York 12308, USA
  • 3Department of Physics, Northeastern University, 111 Forsyth Street, Boston, Massachusetts 02115-5000, USA

  • *Contact author: abouibrah@hartford.edu
  • Contact author: andrewgiman1@gmail.com
  • Contact author: p.nath@northeastern.edu

Phys. Rev. D 114, 023501 – Published 1 July, 2026

DOI: https://doi.org/10.1103/3s8n-j6tq

Abstract

An analysis is given of interacting dark energy and dark matter where the dark energy is assumed to be an ultralight axionic field with a pseudo-Nambu-Goldstone boson potential, which is in general a superposition of N number of cosine terms motivated by supergravity and string models with a U(1) global symmetry, where the symmetry is broken by instanton effects. The case N=2 is investigated in detail and a fit to cosmological data is performed, where it is found that a better fit is obtained in comparison with the N=1 case. The fits also constrain high-scale parameters, i.e., the axion decay constant which is determined to be sub-Planckian, a result consistent with string theory that disfavors the trans-Planckian axion decay constant. Furthermore, the dark energy–dark matter interaction strength is constrained to be feeble, i.e., λ4×106mPl2Mpc2. We study possible implications of this type of potential on the Hubble tension and on the dynamics of the dark energy equation of state using the Dark Energy Spectroscopic Instrument DR2 data. For the cases N=3, 4, the analysis exhibits the phenomenon of transmutation even in the absence of coupling to dark matter, where thawing quintessence transmutes to freezing quintessence. The analysis is internally consistent in its treatment of the dark energy–dark matter interaction, as it is based on an underlying Lagrangian, in contrast with several previous works where the sources are chosen in an ad hoc manner to satisfy energy conservation.

Physics Subject Headings (PhySH)

Article Text

References (85)

  1. R. R. Caldwell, R. Dave, and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998).
  2. B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988).
  3. R. J. Scherrer and A. A. Sen, Phys. Rev. D 77, 083515 (2008).
  4. R. R. Caldwell and E. V. Linder, Phys. Rev. Lett. 95, 141301 (2005).
  5. W. J. Wolf and P. G. Ferreira, Phys. Rev. D 108, 103519 (2023).
  6. W. J. Wolf, C. García-García, D. J. Bartlett, and P. G. Ferreira, Phys. Rev. D 110, 083528 (2024).
  7. P. G. Ferreira and M. Joyce, Phys. Rev. D 58, 023503 (1998).
  8. E. J. Copeland, A. R. Liddle, and D. Wands, Phys. Rev. D 57, 4686 (1998).
  9. J. M. Alimi, A. Fuzfa, V. Boucher, Y. Rasera, J. Courtin, and P. S. Corasaniti, Mon. Not. R. Astron. Soc. 401, 775 (2010).
  10. J. A. Frieman, C. T. Hill, A. Stebbins, and I. Waga, Phys. Rev. Lett. 75, 2077 (1995).
  11. L. A. Ureña-López, F. Lozano-Rodríguez, J. O. Román-Herrera, J. Aguilar, S. Ahlen, D. Bianchi, D. Brooks, T. Claybaugh, A. de la Macorra, and A. Dey et al., Phys. Rev. D 112, 103505 (2025).
  12. J. Lee, K. Murai, F. Takahashi, and W. Yin, Phys. Rev. D 112, 043538 (2025).
  13. M. L. Abreu and M. S. Turner, arXiv:2502.08876.
  14. A. J. Shajib and J. A. Frieman, Phys. Rev. D 112, 063508 (2025).
  15. M. Berbig, J. Cosmol. Astropart. Phys. 03 (2025) 015.
  16. S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, J. Cosmol. Astropart. Phys. 04 (2025) 086.
  17. G. Choi, W. Lin, L. Visinelli, and T. T. Yanagida, Phys. Rev. D 104, L101302 (2021).
  18. V. Smer-Barreto and A. R. Liddle, J. Cosmol. Astropart. Phys. 01 (2017) 023.
  19. K. Dutta and L. Sorbo, Phys. Rev. D 75, 063514 (2007).
  20. L. J. Hall, Y. Nomura, and S. J. Oliver, Phys. Rev. Lett. 95, 141302 (2005).
  21. M. Kawasaki, T. Moroi, and T. Takahashi, Phys. Rev. D 64, 083009 (2001).
  22. I. Waga and J. A. Frieman, Phys. Rev. D 62, 043521 (2000).
  23. S. C. C. Ng and D. L. Wiltshire, Phys. Rev. D 63, 023503 (2001).
  24. P. T. P. Viana and A. R. Liddle, Phys. Rev. D 57, 674 (1998).
  25. J. A. Frieman and I. Waga, Phys. Rev. D 57, 4642 (1998).
  26. K. Coble, S. Dodelson, and J. A. Frieman, Phys. Rev. D 55, 1851 (1997).
  27. W. Lin, L. Visinelli, and T. T. Yanagida, J. Cosmol. Astropart. Phys. 10 (2025) 023.
  28. V. Poulin, T. L. Smith, and T. Karwal, Phys. Dark Universe 42, 101348 (2023).
  29. R. G. Cai, L. Li, and S. J. Wang, Acta Phys. Sin. 72, 239801 (2023).
  30. G. Efstathiou, Phil. Trans. R. Soc. A 383, 20240022 (2025).
  31. E. Di Valentino et al. (CosmoVerse Network Collaboration), Phys. Dark Universe 49, 101965 (2025).
  32. E. Abdalla, G. Franco Abellán, A. Aboubrahim, A. Agnello, O. Akarsu, Y. Akrami, G. Alestas, D. Aloni, L. Amendola, and L. A. Anchordoqui et al., J. High Energy Astrophys. 34, 49 (2022).
  33. A. G. Riess, W. Yuan, L. M. Macri, D. Scolnic, D. Brout, S. Casertano, D. O. Jones, Y. Murakami, L. Breuval, and T. G. Brink et al., Astrophys. J. Lett. 934, L7 (2022).
  34. L. Breuval, A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, M. Romaniello, Y. S. Murakami, D. Scolnic, G. S. Anand, and I. Soszyński, Astrophys. J. 973, 30 (2024).
  35. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  36. V. I. Sabla and R. R. Caldwell, Phys. Rev. D 103, 103506 (2021).
  37. A. Banerjee, H. Cai, L. Heisenberg, E. Ó. Colgáin, M. M. Sheikh-Jabbari, and T. Yang, Phys. Rev. D 103, L081305 (2021).
  38. B. H. Lee, W. Lee, E. Ó. Colgáin, M. M. Sheikh-Jabbari, and S. Thakur, J. Cosmol. Astropart. Phys. 04 (2022) 004.
  39. P. Nath and A. Aboubrahim, Proc. Sci., CORFU2024 (2025) 203 [arXiv:2503.09769].
  40. A. Aboubrahim and P. Nath, J. Cosmol. Astropart. Phys. 10 (2025) 081.
  41. A. Aboubrahim and P. Nath, J. Cosmol. Astropart. Phys. 09 (2024) 076.
  42. S. Sánchez López, A. Karam, and D. K. Hazra, arXiv:2510.14941.
  43. A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
  44. M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083515 (2025).
  45. O. F. Ramadan, J. Sakstein, and D. Rubin, Phys. Rev. D 110, L041303 (2024).
  46. M. Cortês and A. R. Liddle, J. Cosmol. Astropart. Phys. 12 (2024) 007.
  47. M. Chevallier and D. Polarski, Int. J. Mod. Phys. D 10, 213 (2001).
  48. E. V. Linder, Phys. Rev. Lett. 90, 091301 (2003).
  49. S. Tsujikawa, Classical Quantum Gravity 30, 214003 (2013).
  50. D. Shlivko and P. J. Steinhardt, Phys. Lett. B 855, 138826 (2024).
  51. M. Cicoli, F. Cunillera, A. Padilla, and F. G. Pedro, J. High Energy Phys. 10 (2024) 141.
  52. M. Cicoli, F. Cunillera, A. Padilla, and F. G. Pedro, Fortschr. Phys. 70, 2200008 (2022).
  53. P. Svrcek and E. Witten, J. High Energy Phys. 06 (2006) 051.
  54. J. Halverson, C. Long, and P. Nath, Phys. Rev. D 96, 056025 (2017).
  55. P. Nath and M. Piskunov, J. High Energy Phys. 03 (2018) 121.
  56. S. Panda, Y. Sumitomo, and S. P. Trivedi, Phys. Rev. D 83, 083506 (2011).
  57. K. Müürsepp, arXiv:2405.20478.
  58. K. Müürsepp, E. Nardi, and C. Smarra, arXiv:2405.00090.
  59. M. R. Gangopadhyay, N. Kumar, A. Mukherjee, and M. K. Sharma, New Astron. 118, 102373 (2025).
  60. M. Ettengruber and E. Koutsangelas, Phys. Rev. D 111, 036006 (2025).
  61. M. S. Turner, Phys. Rev. D 28, 1243 (1983).
  62. L. A. Ureña-López and A. X. Gonzalez-Morales, J. Cosmol. Astropart. Phys. 07 (2016) 048.
  63. G. Garcia-Arroyo, L. A. Ureña-López, and J. A. Vázquez, Phys. Rev. D 110, 023529 (2024).
  64. D. Blas, J. Lesgourgues, and T. Tram, J. Cosmol. Astropart. Phys. 07 (2011) 034.
  65. J. Torrado and A. Lewis, J. Cosmol. Astropart. Phys. 05 (2021) 057.
  66. A. Lewis and S. Bridle, Phys. Rev. D 66, 103511 (2002).
  67. A. Lewis, Phys. Rev. D 87, 103529 (2013).
  68. R. M. Neal, arXiv:math/0502099.
  69. A. Gelman and D. B. Rubin, Stat. Sci. 7, 457 (1992).
  70. A. Lewis, J. Cosmol. Astropart. Phys. 08 (2025) 025.
  71. M. Tristram, A. J. Banday, K. M. Górski, R. Keskitalo, C. R. Lawrence, K. J. Andersen, R. B. Barreiro, J. Borrill, H. K. Eriksen, and R. Fernandez-Cobos et al., Astron. Astrophys. 647, A128 (2021).
  72. M. Tristram, A. J. Banday, M. Douspis, X. Garrido, K. M. Górski, S. Henrot-Versillé, L. T. Hergt, S. Ilić, R. Keskitalo, and G. Lagache et al., Astron. Astrophys. 682, A37 (2024).
  73. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A1 (2020).
  74. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A5 (2020).
  75. J. Carron, M. Mirmelstein, and A. Lewis, J. Cosmol. Astropart. Phys. 09 (2022) 039.
  76. M. S. Madhavacheril et al. (ACT Collaboration), Astrophys. J. 962, 113 (2024).
  77. M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083514 (2025).
  78. D. Brout, D. Scolnic, B. Popovic, A. G. Riess, J. Zuntz, R. Kessler, A. Carr, T. M. Davis, S. Hinton, and D. Jones et al., Astrophys. J. 938, 110 (2022).
  79. D. Rubin, G. Aldering, M. Betoule, A. Fruchter, X. Huang, A. G. Kim, C. Lidman, E. Linder, S. Perlmutter, and P. Ruiz-Lapuente et al., Astrophys. J. 986, 231 (2025).
  80. T. M. C. Abbott et al. (DES Collaboration), Astrophys. J. Lett. 973, L14 (2024).
  81. A. H. Wright, B. Stölzner, M. Asgari, M. Bilicki, B. Giblin, C. Heymans, H. Hildebrandt, H. Hoekstra, B. Joachimi, and K. Kuijken et al., Astron. Astrophys. 703, A158 (2025).
  82. H. Akaike, IEEE Trans. Autom. Control 19, 716 (1974).
  83. G. Efstathiou, Mon. Not. R. Astron. Soc. 538, 875 (2025).
  84. W. Giarè, M. Najafi, S. Pan, E. Di Valentino, and J. T. Firouzjaee, J. Cosmol. Astropart. Phys. 10 (2024) 035.
  85. M. Vincenzi et al. (DES Collaboration), Mon. Not. R. Astron. Soc. 541, 2585 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation