Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Temperature-dependent CPT violation: Constraints from big bang nucleosynthesis

Gabriela Barenboim1,2,* and Anne-Katherine Burns3,4,†

  • *Contact author: gabriela.barenboim@uv.es
  • †Contact author: annekatherineburns@icc.ub.edu

Phys. Rev. D 113, 095031 – Published 22 May, 2026

DOI: https://doi.org/10.1103/ss12-dw3x

Abstract

In this study, we explore temperature-dependent CPT violation during big bang nucleosynthesis (BBN) through electron-positron mass asymmetries parametrized by b0(T)=αT2. The T2 scaling naturally evades stringent laboratory bounds at zero temperature while allowing for significant CPT violation at MeV scales in the early Universe [S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)]. Using a modified version of the BBN code PRyMordial with dynamically-solved chemical potentials and appropriate finite-mass corrections, we constrain electron-positron mass differences from observed abundances of helium-4, deuterium, and Neff. We find that α must be greater than or approximately equal to 10−6  GeV−1 for keV-scale mass differences at BBN. All three observables show no simultaneous 1σ overlap, though pairwise combinations allow for constrained regions of parameter space. We present two toy models demonstrating how b0(T)∝T2 arises from field-theoretic mechanisms, including temperature-driven phase transitions. These results provide the most stringent constraints on early-Universe CPT violation in this regime, probing parameter space inaccessible to laboratory experiments.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (67)

  1. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  2. G. Gabrielse and G. Venanzoni, arXiv:2507.11268.
  3. A. Tumasyan et al. (CMS Collaboration), J. High Energy Phys. 12 (2021) 161.
  4. J. Adam et al. (STAR Collaboration), Nat. Phys. 16, 409 (2020).
  5. A. Anastasi et al. (KLOE-2 Collaboration), J. High Energy Phys. 09 (2018) 021.
  6. M. Ravonel Salzgeber (T2K Collaboration), arXiv:1508.06153.
  7. J. Adam et al. (ALICE Collaboration), Nat. Phys. 11, 811 (2015).
  8. G. Barenboim, C. A. Ternes, and M. Tórtola, Phys. Lett. B 780, 631 (2018).
  9. G. Lambiase, Phys. Rev. D 72, 087702 (2005).
  10. A. D. Dolgov and V. A. Novikov, Phys. Lett. B 732, 244 (2014).
  11. G. Barenboim and J. Salvado, Eur. Phys. J. C 77, 766 (2017).
  12. T. Bossingham, N. E. Mavromatos, and S. Sarkar, Eur. Phys. J. C 78, 113 (2018).
  13. A. D. Dolgov, Phys. At. Nucl. 73, 588 (2010).
  14. P. A. Bolokhov and M. Pospelov, Phys. Rev. D 74, 123517 (2006).
  15. https://github.com/vallima/PRyMordial
  16. A.-K. Burns, T. M. P. Tait, and M. Valli, Eur. Phys. J. C 84, 86 (2024).
  17. G. F. Giudice, E. W. Kolb, and A. Riotto, Phys. Rev. D 64, 023508 (2001).
  18. A. Matsumoto et al., Astrophys. J. 941, 167 (2022).
  19. C. Pitrou, A. Coc, J.-P. Uzan, and E. Vangioni, Phys. Rep. 754, 1 (2018).
  20. M. Escudero, G. Jackson, M. Laine, and S. Sandner, J. Cosmol. Astropart. Phys. 02 (2026) 046.
  21. F. Kondev, M. Wang, W. Huang, S. Naimi, and G. Audi, Chin. Phys. C 45, 030001 (2021).
  22. D. G. Yamazaki, M. Kusakabe, T. Kajino, G. J. Mathews, and M.-K. Cheoun, Phys. Rev. D 90, 023001 (2014).
  23. B. D. Fields, Annu. Rev. Nucl. Part. Sci. 61, 47 (2011).
  24. O. D. Miranda, Astron. Astrophys. 701, A164 (2025).
  25. T. Makki, M. E. Eid, and G. Mathews, Springer Proc. Phys. 420, 21 (2025).
  26. S. M. Ali et al., Phys. Rev. Lett. 128, 252701 (2022).
  27. S. Koren, Phys. Rev. Lett. 131, 091003 (2023).
  28. S. A. Franchino-Viñas and M. E. Mosquera, arXiv:2107.02243.
  29. S. Hayakawa et al., Astrophys. J. Lett. 915, L13 (2021).
  30. M. Deal and C. J. A. P. Martins, Astron. Astrophys. 653, A48 (2021).
  31. S. Q. Hou, T. Kajino, T. C. L. Trueman, M. Pignatari, Y. D. Luo, and C. A. Bertulani, Astrophys. J. 920, 145 (2021).
  32. L. A. Anchordoqui, Phys. Rev. D 103, 035025 (2021).
  33. M. T. Clara and C. J. A. P. Martins, Astron. Astrophys. 633, L11 (2020).
  34. V. V. Flambaum and A. R. Zhitnitsky, Phys. Rev. D 99, 023517 (2019).
  35. S. Q. Hou, J. J. He, A. Parikh, D. Kahl, C. A. Bertulani, T. Kajino, G. J. Mathews, and G. Zhao, Astrophys. J. 834, 165 (2017).
  36. L. Salvati, L. Pagano, M. Lattanzi, M. Gerbino, and A. Melchiorri, J. Cosmol. Astropart. Phys. 08 (2016) 022,
  37. B. D. Fields and K. A. Olive, J. Cosmol. Astropart. Phys. 10 (2022) 078,
  38. E. Calabrese et al. (ACT Collaboration), J. Cosmol. Astropart. Phys. 11 (2025) 063.
  39. M. Escudero, J. Cosmol. Astropart. Phys. 02 (2018) 007.
  40. M. Baryakhtar, O. Simon, and Z. J. Weiner, Phys. Rev. D 111, 115026 (2025).
  41. M. Baryakhtar, O. Simon, and Z. J. Weiner, Phys. Rev. D 110, 083505 (2024).
  42. S. Weinberg, Phys. Rev. D 9, 3357 (1974).
  43. R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 42, 1651 (1979).
  44. R. N. Mohapatra and G. Senjanovic, Phys. Rev. D 20, 3390 (1979).
  45. G. R. Dvali and G. Senjanovic, Phys. Rev. Lett. 74, 5178 (1995).
  46. D. Colladay and V. A. Kostelecký, Phys. Rev. D 58, 116002 (1998).
  47. V. A. Kostelecky and N. Russell, Rev. Mod. Phys. 83, 11 (2011).
  48. C. M. Bender, Rep. Prog. Phys. 70, 947 (2007).
  49. C. M. Bender, N. Hassanpour, S. P. Klevansky, and S. Sarkar, Phys. Rev. D 98, 125003 (2018).
  50. C. M. Bender, H. F. Jones, and R. J. Rivers, Phys. Lett. B 625, 333 (2005).
  51. H. F. Jones and R. J. Rivers, Phys. Lett. A 373, 3304 (2009).
  52. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
  53. C. M. Bender, D. C. Brody, and H. F. Jones, Phys. Rev. D 70, 025001 (2004).
  54. M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, England, 2000).
  55. J. I. Kapusta and C. Gale, Finite-Temperature Field Theory: Principles and Applications, 2nd ed. (Cambridge University Press, Cambridge, England, 2006).
  56. O. Bertolami, D. Colladay, V. A. Kostelecky, and R. Potting, Phys. Lett. B 395, 178 (1997).
  57. S. Y. Khlebnikov and M. E. Shaposhnikov, Nucl. Phys. B308, 885 (1988).
  58. J. A. Harvey and M. S. Turner, Phys. Rev. D 42, 3344 (1990).
  59. H.-T. Janka, K. Langanke, A. Marek, G. Martinez-Pinedo, and B. Mueller, Phys. Rep. 442, 38 (2007).
  60. H.-T. Janka, Annu. Rev. Nucl. Part. Sci. 62, 407 (2012).
  61. A. Perego, S. Bernuzzi, and D. Radice, Eur. Phys. J. A 55, 124 (2019).
  62. S. L. Shapiro and S. A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (John Wiley & Sons, New York, 1983).
  63. T. Piran, A. Shemi, and R. Narayan, Mon. Not. R. Astron. Soc. 263, 861 (1993).
  64. M. Ajello et al. (Fermi-LAT Collaboration), Nat. Astron. 5, 385 (2021).
  65. A. Uniyal, S. Kalita, Y. Mizuno, S. Chakrabarti, and Y. Lu, Mon. Not. R. Astron. Soc. 542, 3395 (2025).
  66. A. R. Khalife, M. B. Zanjani, S. Galli, S. Günther, J. Lesgourgues, and K. Benabed, J. Cosmol. Astropart. Phys. 04 (2023) 059.
  67. N. Schöneberg and L. Vacher, J. Cosmol. Astropart. Phys. 03 (2024) 004.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation