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When one-parameter dark energy makes neutrinos physical again

Weiqiang Yang1,*, Eleonora Di Valentino2,†, Eric V. Linder3,‡, Sibo Zhang1,§, and Supriya Pan4,5,∥

  • *Contact author: d11102004@163.com
  • †Contact author: e.divalentino@sheffield.ac.uk
  • ‡Contact author: evlinder@lbl.gov
  • §Contact author: sbzhang02@163.com
  • ∥Contact author: supriya.maths@presiuniv.ac.in
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Phys. Rev. D 114, 063515 – Published 8 September, 2026

DOI: https://doi.org/10.1103/41tc-5ffp

Abstract

A puzzling implication of current data interpreted in the Λ cold dark matter cosmology is the preference for a negative sum of neutrino masses. Moving to w0waCDM brings an appreciable fraction of the neutrino mass posterior back to positive values, while the constant equation-of-state dark energy case wCDM does not. We investigate a variety of one-parameter dynamical dark energy equations of state (DE EOS) whose redshift evolution is controlled by a single free parameter, each representing distinct physical properties, to understand whether a two-parameter DE EOS is required to bring the neutrino mass into the positive region. The conclusion is that certain one-parameter DE EOS can suffice, implying that the data are pointing toward physical characteristics rather than a broad degeneracy. This behavior effectively lowers the dark energy density at high redshift, allowing the sum of neutrino masses to shift toward the physical region. The required characteristics are identified as phantom dark energy at high redshift, crossing w=−1 at lower redshift.

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References (93)

  1. A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
  2. M. Abdul Karim et al. (DESI Collaboration), Phys. Rev. D 112, 083515 (2025).
  3. M. Chevallier and D. Polarski, Int. J. Mod. Phys. D 10, 213 (2001).
  4. E. V. Linder, Phys. Rev. Lett. 90, 091301 (2003).
  5. K. Lodha et al. (DESI Collaboration), Phys. Rev. D 112, 083511 (2025).
  6. B. Popovic et al. (DES Collaboration), Mon. Not. R. Astron. Soc. 548, stag632 (2026).
  7. T. J. Hoyt, D. Rubin, G. Aldering, S. Perlmutter, A. Cuceu, and R. Gupta, arXiv:2601.19424.
  8. M. Cortês and A. R. Liddle, J. Cosmol. Astropart. Phys. 12 (2024) 007.
  9. D. Shlivko and P. J. Steinhardt, Phys. Lett. B 855, 138826 (2024).
  10. O. Luongo and M. Muccino, Astron. Astrophys. 690, A40 (2024).
  11. I. D. Gialamas, G. Hütsi, K. Kannike, A. Racioppi, M. Raidal, M. Vasar, and H. Veermäe, Phys. Rev. D 111, 043540 (2025).
  12. B. R. Dinda, J. Cosmol. Astropart. Phys. 09 (2024) 062.
  13. M. Najafi, S. Pan, E. Di Valentino, and J. T. Firouzjaee, Phys. Dark Universe 45, 101539 (2024).
  14. H. Wang and Y.-S. Piao, Phys. Lett. B 873, 140180 (2026).
  15. G. Ye, M. Martinelli, B. Hu, and A. Silvestri, Phys. Rev. Lett. 134, 181002 (2025).
  16. Y. Tada and T. Terada, Phys. Rev. D 109, L121305 (2024).
  17. Y. Carloni, O. Luongo, and M. Muccino, Phys. Rev. D 111, 023512 (2025).
  18. C.-G. Park, J. de Cruz Pérez, and B. Ratra, Phys. Rev. D 110, 123533 (2024).
  19. S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, J. Cosmol. Astropart. Phys. 09 (2024) 073.
  20. O. F. Ramadan, J. Sakstein, and D. Rubin, Phys. Rev. D 110, L041303 (2024).
  21. M. Malekjani, Z. Davari, and S. Pourojaghi (DESI Collaboration), Phys. Rev. D 111, 083547 (2025).
  22. W. Giarè, M. Najafi, S. Pan, E. Di Valentino, and J. T. Firouzjaee, J. Cosmol. Astropart. Phys. 10 (2024) 035.
  23. J. Rebouças, D. H. F. de Souza, K. Zhong, V. Miranda, and R. Rosenfeld, J. Cosmol. Astropart. Phys. 02 (2025) 024.
  24. W. Giarè, Phys. Rev. D 112, 023508 (2025).
  25. C.-G. Park, J. de Cruz Pérez, and B. Ratra, Int. J. Mod. Phys. D 34, 2550058 (2025).
  26. T.-N. Li, Y.-H. Li, G.-H. Du, P.-J. Wu, L. Feng, J.-F. Zhang, and X. Zhang, Eur. Phys. J. C 85, 608 (2025).
  27. J.-Q. Jiang, W. Giarè, S. Gariazzo, M. G. Dainotti, E. Di Valentino, O. Mena, D. Pedrotti, S. S. da Costa, and S. Vagnozzi, J. Cosmol. Astropart. Phys. 01 (2025) 153.
  28. J.-Q. Jiang, D. Pedrotti, S. S. da Costa, and S. Vagnozzi, Phys. Rev. D 110, 123519 (2024).
  29. S. Roy Choudhury and T. Okumura, Astrophys. J. Lett. 976, L11 (2024).
  30. C. Li, J. Wang, D. Zhang, E. N. Saridakis, and Y.-F. Cai, J. Cosmol. Astropart. Phys. 08 (2025) 041.
  31. A. Paliathanasis, J. Cosmol. Astropart. Phys. 09 (2025) 067.
  32. W. J. Wolf, C. García-García, and P. G. Ferreira, J. Cosmol. Astropart. Phys. 05 (2025) 034.
  33. A. J. Shajib and J. A. Frieman, Phys. Rev. D 112, 063508 (2025).
  34. W. Giarè, T. Mahassen, E. Di Valentino, and S. Pan, Phys. Dark Universe 48, 101906 (2025).
  35. A. Paliathanasis, Phys. Dark Universe 49, 101993 (2025).
  36. E. Chaussidon et al., Phys. Rev. D 112, 063548 (2025).
  37. D. A. Kessler, L. A. Escamilla, S. Pan, and E. Di Valentino, arXiv:2504.00776.
  38. Y.-H. Pang, X. Zhang, and Q.-G. Huang, Sci. China Phys. Mech. Astron. 68, 280410 (2025).
  39. N. Roy, Phys. Dark Universe 48, 101912 (2025).
  40. S. Roy Choudhury, Astrophys. J. Lett. 986, L31 (2025).
  41. A. Paliathanasis, Phys. Dark Universe 48, 101956 (2025).
  42. M. Scherer, M. A. Sabogal, R. C. Nunes, and A. De Felice, Phys. Rev. D 112, 043513 (2025).
  43. T. Liu, X. Li, and J. Wang, Astrophys. J. 988, 243 (2025).
  44. E. M. Teixeira, W. Giarè, N. B. Hogg, T. Montandon, A. Poudou, and V. Poulin, Phys. Rev. D 112, 023515 (2025).
  45. F. B. M. d. Santos, J. Morais, S. Pan, W. Yang, and E. Di Valentino, J. Cosmol. Astropart. Phys. 07 (2026) 022.
  46. E. Specogna, S. A. Adil, E. Ozulker, E. Di Valentino, R. C. Nunes, O. Akarsu, and A. A. Sen, Phys. Rev. D 113, 103549 (2026).
  47. M. A. Sabogal and R. C. Nunes, J. Cosmol. Astropart. Phys. 09 (2025) 084.
  48. W. Giarè, O. Mena, E. Specogna, and E. Di Valentino, Phys. Rev. D 112, 103520 (2025).
  49. H. Cheng, E. Di Valentino, L. A. Escamilla, A. A. Sen, and L. Visinelli, J. Cosmol. Astropart. Phys. 09 (2025) 031.
  50. L. Herold and T. Karwal, Phys. Rev. D 113, 123551 (2026).
  51. H. Cheng, E. Di Valentino, and L. Visinelli, J. High Energy Astrophys. 53, 100610 (2026).
  52. E. Özülker, E. Di Valentino, and W. Giarè, arXiv:2506.19053.
  53. D. H. Lee, W. Yang, E. Di Valentino, S. Pan, and C. van de Bruck, Phys. Rev. D 113, 063554 (2026).
  54. A. N. Ormondroyd, W. J. Handley, M. P. Hobson, and A. N. Lasenby, Mon. Not. R. Astron. Soc. 547, staf2207 (2026).
  55. T.-N. Li, P.-J. Wu, G.-H. Du, Y.-H. Yao, J.-F. Zhang, and X. Zhang, Phys. Dark Universe 50, 102068 (2025).
  56. E. Silva and R. C. Nunes, J. Cosmol. Astropart. Phys. 11 (2025) 078.
  57. M. Ishak and L. Medina-Varela, arXiv:2507.22856.
  58. E. Fazzari, W. Giarè, and E. Di Valentino, Astrophys. J. Lett. 996, L5 (2026).
  59. A. Smith, E. Özülker, E. Di Valentino, and C. van de Bruck, arXiv:2510.21931.
  60. Z. Zhang, T. Xu, and Y. Chen, Astrophys. J. 999, 248 (2026).
  61. H. Cheng, S. Pan, and E. Di Valentino, Astrophys. J. 999, 190 (2026).
  62. S.-H. Zhou, T.-N. Li, G.-H. Du, J.-Q. Jiang, J.-F. Zhang, and X. Zhang, Phys. Rev. D 112, 123532 (2025).
  63. T.-N. Li, G.-H. Du, S.-H. Zhou, Y.-H. Li, J.-F. Zhang, and X. Zhang, Phys. Dark Universe 52, 102254 (2026).
  64. A. Ladeira, R. C. Nunes, S. Pan, and W. Yang, Phys. Rev. D 113, 083503 (2026).
  65. A. Paliathanasis, arXiv:2601.02789.
  66. T.-N. Li, W. Giarè, G.-H. Du, Y.-H. Li, E. Di Valentino, J.-F. Zhang, and X. Zhang, arXiv:2601.07361.
  67. M. Gökçen, Ö. Akarsu, and E. Di Valentino, Phys. Dark Universe 52, 102273 (2026).
  68. L. Feng, T.-N. Li, G.-H. Du, J.-F. Zhang, and X. Zhang, Phys. Dark Universe 52, 102296 (2026).
  69. G. G. Luciano, A. Paliathanasis, G. Leon, A. Sheykhi, and M. Motaghi, Phys. Lett. B 873, 140154 (2026).
  70. W. Elbers et al., Phys. Rev. D 112, 083513 (2025).
  71. N. Craig, D. Green, J. Meyers, and S. Rajendran, J. High Energy Phys. 09 (2024) 097.
  72. D. Green and J. Meyers, Phys. Rev. D 111, 083507 (2025).
  73. H. Pulido-Hernández and J. L. Cervantes-Cota, Phys. Rev. D 114, 043543 (2026).
  74. W. Elbers, C. S. Frenk, A. Jenkins, B. Li, and S. Pascoli, Phys. Rev. D 111, 063534 (2025).
  75. D. Naredo-Tuero, M. Escudero, E. Fernández-Martínez, X. Marcano, and V. Poulin, Phys. Rev. D 110, 123537 (2024).
  76. R. de Putter and E. V. Linder, J. Cosmol. Astropart. Phys. 10 (2008) 042.
  77. E. V. Linder, Phys. Rev. D 91, 063006 (2015).
  78. E. V. Linder, Gen. Relativ. Gravit. 40, 329 (2008).
  79. E. V. Linder, arXiv:0708.0024.
  80. X. Li and A. Shafieloo, Astrophys. J. 902, 58 (2020).
  81. W. Yang, E. Di Valentino, S. Pan, A. Shafieloo, and X. Li, Phys. Rev. D 104, 063521 (2021).
  82. C.-P. Ma and E. Bertschinger, Astrophys. J. 455, 7 (1995).
  83. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  84. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A5 (2020).
  85. D. Scolnic et al., Astrophys. J. 938, 113 (2022).
  86. D. Rubin et al., Astrophys. J. 986, 231 (2025).
  87. D. Rubin, T. Hoyt, G. Aldering, and S. Perlmutter, arXiv:2601.19854.
  88. D. Blas, J. Lesgourgues, and T. Tram, J. Cosmol. Astropart. Phys. 07 (2011) 034.
  89. J. Torrado and A. Lewis, J. Cosmol. Astropart. Phys. 05 (2021) 057.
  90. A. Gelman and D. B. Rubin, Stat. Sci. 7, 457 (1992).
  91. R. E. Kass and A. E. Raftery, J. Am. Stat. Assoc. 90, 773 (1995).
  92. A. Heavens, Y. Fantaye, E. Sellentin, H. Eggers, Z. Hosenie, S. Kroon, and A. Mootoovaloo, Phys. Rev. Lett. 119, 101301 (2017).
  93. A. Heavens, Y. Fantaye, A. Mootoovaloo, H. Eggers, Z. Hosenie, S. Kroon, and E. Sellentin, arXiv:1704.03472.

Outline

Information

Phys. Rev. D 114, 063515– Published 8 September, 2026
  • Received 24 March 2026
  • Accepted 19 August 2026
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