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Challenging the ω0ωaCDM parametrization through rational expansions in view of the DESI DR2

Youri Carloni1,2,3,*, Orlando Luongo1,2,3,4,5,†, and Marek Biesiada6,‡

  • *Contact author: youri.carloni@unicam.it
  • †Contact author: orlando.luongo@unicam.it
  • ‡Contact author: marek.biesiada@ncbj.gov.pl

Phys. Rev. D 113, 103525 – Published 14 May, 2026

DOI: https://doi.org/10.1103/m4c5-7vx1

Abstract

In view of the new Dark Energy Spectroscopic Instrument 2025 results, we analyze three types of Padé cosmology, based on rational series making use of Padé approximants over the equations of state, namely Padéω (0, 1) and Padé (1, 1), plus a Padéq (0, 1), i.e., a rational expansion on the dark energy deceleration parameter, in which the numerator and denominator orders are incorporated into the above brackets. These scenarios appear as alternative dark energy parametrizations with respect to the well-known ω0ωaCDM model. Accordingly, we perform Monte Carlo Markov chain analyses with the publicly available class Boltzmann code, including the three Padé parametrizations, along with the ω0ωaCDM and ΛCDM standard pictures. To this end, we combine independent probes from high to low redshifts to obtain reliable constraints on the cosmological parameters of these models and compare them using statistical selection criteria. Our results show that ω0ωaCDM parametrization is not significantly preferred over the Padé cosmology. On the contrary, the deviance information criterion identifies Padé (1, 1) as the best-fit model along with the ω0ωaCDM parametrization. Based on our bounds, we further investigate the evolution of the squared sound speed, revealing that the Padéq (0, 1) and Padéω (0, 1) parametrizations exhibit enhanced stability compared with the other cases here considered and, therefore, describe robust alternatives for the cosmological background.

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References (86)

  1. T. Padmanabhan, Phys. Rep. 380, 235 (2003).
  2. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
  3. E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006).
  4. S. Perlmutter et al. (Supernova Cosmology Project), Nature (London) 391, 51 (1998).
  5. S. Perlmutter et al. (Supernova Cosmology Project), Astrophys. J. 517, 565 (1999).
  6. A. G. Riess et al. (Supernova Search Team), Astron. J. 116, 1009 (1998).
  7. J. L. Tonry et al. (Supernova Search Team), Astrophys. J. 594, 1 (2003).
  8. D. Huterer and D. L. Shafer, Rep. Prog. Phys. 81, 016901 (2018).
  9. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  10. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989).
  11. J. Martin, C.R. Phys. 13, 566 (2012).
  12. J. Sola Peracaula, Phil. Trans. R. Soc. A 380, 20210182 (2022).
  13. A. Belfiglio, Y. Carloni, and O. Luongo, Phys. Dark Universe 44, 101458 (2024).
  14. M. Kamionkowski and A. G. Riess, Annu. Rev. Nucl. Part. Sci. 73, 153 (2023).
  15. N. Schöneberg, G. Franco Abellán, A. Pérez Sánchez, S. J. Witte, V. Poulin, and J. Lesgourgues, Phys. Rep. 984, 1 (2022).
  16. V. Poulin, T. L. Smith, and T. Karwal, Phys. Dark Universe 42, 101348 (2023).
  17. E. Abdalla et al., J. High Energy Astrophys. 34, 49 (2022).
  18. E. Di Valentino et al., Astropart. Phys. 131, 102604 (2021).
  19. Y. Carloni, O. Luongo, and M. Muccino, Astron. Astrophys. 707, A383 (2026).
  20. A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
  21. M. Cortês and A. R. Liddle, J. Cosmol. Astropart. Phys. 12 (2024) 007.
  22. W. Giarè, M. Najafi, S. Pan, E. Di Valentino, and J. T. Firouzjaee, J. Cosmol. Astropart. Phys. 10 (2024) 035.
  23. M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083515 (2025).
  24. I. D. Gialamas, G. Hütsi, M. Raidal, J. Urrutia, M. Vasar, and H. Veermäe, Phys. Rev. D 112, 063551 (2025).
  25. S. Roy Choudhury, Astrophys. J. Lett. 986, L31 (2025).
  26. S. Roy Choudhury, T. Okumura, and K. Umetsu, Astrophys. J. Lett. 994, L26 (2025).
  27. S. Roy Choudhury and T. Okumura, Astrophys. J. Lett. 976, L11 (2024).
  28. E. Ó. Colgáin, M. G. Dainotti, S. Capozziello, S. Pourojaghi, M. M. Sheikh-Jabbari, and D. Stojkovic, J. High Energy Astrophys. 49, 100428 (2026).
  29. O. Luongo and M. Muccino, Astron. Astrophys. 690, A40 (2024).
  30. Y. Carloni, O. Luongo, and M. Muccino, Phys. Rev. D 111, 023512 (2025).
  31. E. Ó. Colgáin, S. Pourojaghi, M. M. Sheikh-Jabbari, and L. Yin, Phys. Dark Universe 52, 102268 (2026).
  32. T. Liu, X. Li, T. Xu, M. Biesiada, and J. Wang, Eur. Phys. J. C 85, 1351 (2025).
  33. Z. Lu, T. Simon, and P. Zhang, arxiv:2503.04602.
  34. S. Gupta Choudhury, P. Mukherjee, and A. A. Sen, arxiv:2510.09602.
  35. P. Mukherjee and A. A. Sen, Rep. Prog. Phys. 88, 098401 (2025).
  36. C. Gruber and O. Luongo, Phys. Rev. D 89, 103506 (2014).
  37. A. Aviles, A. Bravetti, S. Capozziello, and O. Luongo, Phys. Rev. D 90, 043531 (2014).
  38. M. Rezaei, M. Malekjani, S. Basilakos, A. Mehrabi, and D. F. Mota, Astrophys. J. 843, 65 (2017).
  39. S. Capozziello, R. D’Agostino, and O. Luongo, J. Cosmol. Astropart. Phys. 05 (2018) 008.
  40. S. Capozziello, R. D’Agostino, and O. Luongo, Mon. Not. R. Astron. Soc. 494, 2576 (2020).
  41. S. Capozziello, R. D’Agostino, and O. Luongo, Phys. Dark Universe 36, 101045 (2022).
  42. E. Fazzari, W. Giarè, and E. Di Valentino, Astrophys. J. Lett. 996, L5 (2026).
  43. C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000).
  44. M. Kunz, R. Trotta, and D. Parkinson, Phys. Rev. D 74, 023503 (2006).
  45. A. R. Liddle, Mon. Not. R. Astron. Soc. 377, L74 (2007).
  46. M. Biesiada, J. Cosmol. Astropart. Phys. 02 (2007) 003.
  47. M. Szydlowski, T. Stachowiak, and R. Wojtak, Phys. Rev. D 73, 063516 (2006).
  48. M. Szydlowski and A. Kurek, AIP Conf. Proc. 861, 1031 (2006).
  49. K. Burnham and D. Anderson, A Practical Information-Theoretic Approach (Springer, New York, 2004).
  50. N. Sugiura, Commun. Stat., Theory Methods 7, 13 (1978).
  51. E. Di Valentino et al. (CosmoVerse Network Collaboration), Phys. Dark Universe 49, 101965 (2025).
  52. M. Kunz, C.R. Phys. 13, 539 (2012).
  53. S. Tsujikawa, Classical Quantum Gravity 30, 214003 (2013).
  54. W. J. Wolf, C. García-García, D. J. Bartlett, and P. G. Ferreira, Phys. Rev. D 110, 083528 (2024).
  55. W. J. Wolf, C. García-García, and P. G. Ferreira, J. Cosmol. Astropart. Phys. 05 (2025) 034.
  56. E. Di Valentino, J. L. Said, A. Riess, A. Pollo, V. Poulin, A. Gómez-Valent, A. Weltman, A. Palmese, C. D. Huang, C. van de Bruck et al., Phys. Dark Universe 49, 101965 (2025).
  57. A. A. Starobinsky, JETP Lett. 68, 757 (1998).
  58. D. Huterer and M. S. Turner, Phys. Rev. D 60, 081301 (1999).
  59. V. Sahni and A. Starobinsky, Int. J. Mod. Phys. D 15, 2105 (2006).
  60. C. Cattoen and M. Visser, Classical Quantum Gravity 24, 5985 (2007).
  61. K. Bamba, S. Capozziello, S. Nojiri, and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012).
  62. B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988).
  63. G. Efstathiou and S. Gratton, Mon. Not. R. Astron. Soc. 496, L91 (2020).
  64. A. Aviles, C. Gruber, O. Luongo, and H. Quevedo, Phys. Rev. D 86, 123516 (2012).
  65. J. P. Hu and F. Y. Wang, Astron. Astrophys. 661, A71 (2022).
  66. M. Chevallier and D. Polarski, Int. J. Mod. Phys. D 10, 213 (2001).
  67. E. V. Linder, Phys. Rev. Lett. 90, 091301 (2003).
  68. D. Scolnic et al., Astrophys. J. 938, 113 (2022).
  69. D. Brout et al., Astrophys. J. 938, 110 (2022).
  70. A. Conley et al. (SNLS Collaboration), Astrophys. J. Suppl. Ser. 192, 1 (2011).
  71. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A5 (2020).
  72. Y. Akrami et al. (Planck Collaboration), Astron. Astrophys. 641, A4 (2020).
  73. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A8 (2020).
  74. R. Jimenez and A. Loeb, Astrophys. J. 573, 37 (2002).
  75. C. Zhang, H. Zhang, S. Yuan, T.-J. Zhang, and Y.-C. Sun, Res. Astron. Astrophys. 14, 1221 (2014).
  76. J. Simon, L. Verde, and R. Jimenez, Phys. Rev. D 71, 123001 (2005).
  77. M. Moresco et al., J. Cosmol. Astropart. Phys. 08 (2012) 006.
  78. M. Moresco, L. Pozzetti, A. Cimatti, R. Jimenez, C. Maraston, L. Verde, D. Thomas, A. Citro, R. Tojeiro, and D. Wilkinson, J. Cosmol. Astropart. Phys. 05 (2016) 014.
  79. A. L. Ratsimbazafy, S. I. Loubser, S. M. Crawford, C. M. Cress, B. A. Bassett, R. C. Nichol, and P. Väisänen, Mon. Not. R. Astron. Soc. 467, 3239 (2017).
  80. D. Stern, R. Jimenez, L. Verde, M. Kamionkowski, and S. A. Stanford, J. Cosmol. Astropart. Phys. 02 (2010) 008.
  81. N. Borghi, M. Moresco, and A. Cimatti, Astrophys. J. Lett. 928, L4 (2022).
  82. M. Moresco, Mon. Not. R. Astron. Soc. 450, L16 (2015).
  83. S. S. Wilks, Ann. Math. Stat. 9, 60 (1938).
  84. J. Rebouças, D. H. F. de Souza, K. Zhong, V. Miranda, and R. Rosenfeld, J. Cosmol. Astropart. Phys. 02 (2025) 024.
  85. E. Ó. Colgáin, S. Pourojaghi, and M. M. Sheikh-Jabbari, Galaxies 13, 133 (2025).
  86. A. Gelman and D. Rubin, Stat. Sci. 7, 457 (1992).

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