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

Linear seesaw leptogenesis before and after electroweak symmetry breaking

Yan Shao1 and Zhen-hua Zhao2,*

  • *Contact author: zhaozhenhua@lnnu.edu.cn

Phys. Rev. D 112, 115033 – Published 22 December, 2025

DOI: https://doi.org/10.1103/85vc-x819

Abstract

The linear seesaw (LSS) model provides a natural framework for generating small neutrino masses at low energy scales, thereby offering promising testability prospects. However, in generic LSS models, the exact mass degeneracy (before the electroweak symmetry breaking) between the two sterile neutrinos that form a Dirac pair precludes the generation of CP asymmetries from their interplay, posing a significant challenge to explaining the observed baryon (or lepton) asymmetry of the Universe via the leptogenesis mechanism. In this work, we explore two well-motivated approaches to generate a suitable mass splitting for the two sterile neutrinos that form a Dirac pair, and consequently naturally realize a resonantly enhanced generation of baryon (and lepton) asymmetry. First, we demonstrate that the renormalization group evolution effects can naturally induce the desired mass splitting for the sterile neutrinos, resulting in a successful generation of the observed baryon asymmetry of the Universe. Second, motivated by the recent result from the EMPRESS Collaboration that indicates the possible existence of a large lepton asymmetry of the Universe, we explore the possibility that a large lepton asymmetry might naturally follow from the electroweak symmetry breaking, which automatically induces the desired mass splitting for the sterile neutrinos.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (70)

  1. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
  2. M. Fukugita and T. Yanagida, Phys. Lett. B 174, 45 (1986).
  3. W. Buchmuller, R. D. Peccei, and T. Yanagida, Annu. Rev. Nucl. Part. Sci. 55, 311 (2005).
  4. W. Buchmuller, P. Di Bari, and M. Plumacher, Ann. Phys. (Amsterdam) 315, 305 (2005).
  5. S. Davidson, E. Nardi, and Y. Nir, Phys. Rep. 466, 105 (2008).
  6. D. Bodeker and W. Buchmuller, Rev. Mod. Phys. 93, 035004 (2021).
  7. P. Minkowski, Phys. Lett. 67B, 421 (1977).
  8. M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979), p. 315.
  9. T. Yanagida, in Proceedings of the Workshop on the Unified Theory and the Baryon Number in the Universe, edited by O. Sawada and A. Sugamoto (KEK Report No. 79-18, Tsukuba, 1979), p. 95.
  10. R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980).
  11. J. Schechter and J. W. F. Valle, Phys. Rev. D 22, 2227 (1980).
  12. M. D’Onofrio, K. Rummukainen, and A. Tranberg, Phys. Rev. Lett. 113, 141602 (2014).
  13. S. Davidson and A. Ibarra, Phys. Lett. B 535, 25 (2002).
  14. A. Pilaftsis, Phys. Rev. D 56, 5431 (1997).
  15. A. Pilaftsis and T. E. J. Underwood, Nucl. Phys. B692, 303 (2004).
  16. E. K. Akhmedov, M. Lindner, E. Schnapka, and J. W. F. Valle, Phys. Lett. B 368, 270 (1996).
  17. E. K. Akhmedov, M. Lindner, E. Schnapka, and J. W. F. Valle, Phys. Rev. D 53, 2752 (1996).
  18. M. Malinsky, J. C. Romao, and J. W. F. Valle, Phys. Rev. Lett. 95, 161801 (2005).
  19. E. Fernandez-Martinez, X. Marcano, and D. Naredo-Tuero, J. High Energy Phys. 03 (2023) 057.
  20. L. Wolfenstein, Nucl. Phys. B186, 147 (1981).
  21. S. T. Petcov, Phys. Lett. 110B, 245 (1982).
  22. J. W. F. Valle and M. Singer, Phys. Rev. D 28, 540 (1983).
  23. M. Kobayashi and C. S. Lim, Phys. Rev. D 64, 013003 (2001).
  24. A. Abada, S. Davidson, F. X. Josse-Michaux, M. Losada, and A. Riotto, J. Cosmol. Astropart. Phys. 04 (2006) 004.
  25. E. Nardi, Y. Nir, E. Roulet, and J. Racker, J. High Energy Phys. 01 (2006) 164.
  26. S. Blanchet, T. Hambye, and F. X. Josse-Michaux, J. High Energy Phys. 04 (2010) 023.
  27. W. Buchmuller, P. Di Bari, and M. Plumacher, Ann. Phys. (Amsterdam) 315, 305 (2005).
  28. K. Agashe, P. Z. Du, M. Ekhterachian, C. S. Fong, S. Hong, and L. Vecchi, J. High Energy Phys. 04 (2019) 029.
  29. V. Brdar, M. König, and J. Kopp, Phys. Rev. D 93, 093010 (2016).
  30. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro, and T. Schwetz, J. High Energy Phys. 12 (2024) 216.
  31. F. Capozzi, W. Giarè, E. Lisi, A. Marrone, A. Melchiorri, and A. Palazzo, Phys. Rev. D 111, 093006 (2025).
  32. J. A. Casas and A. Ibarra, Nucl. Phys. B618, 171 (2001).
  33. D. V. Forero, S. Morisi, M. Tortola, and J. W. F. Valle, J. High Energy Phys. 09 (2011) 142.
  34. H. C. Han and Z. Z. Xing, Nucl. Phys. B973, 115609 (2021).
  35. Z. Z. Xing, Phys. Rep. 854, 1 (2020).
  36. A. M. Baldini et al. (MEG Collaboration), Eur. Phys. J. C 76, 434 (2016).
  37. J. Schechter and J. W. F. Valle, Phys. Rev. D 25, 774 (1982).
  38. A. Granelli, K. Moffat, Y. F. Perez-Gonzalez, H. Schulz, and J. Turner, Comput. Phys. Commun. 262, 107813 (2021).
  39. A. Matsumoto, M. Ouchi, K. Nakajima, M. Kawasaki, K. Murai, K. Motohara, Y. Harikane, Y. Ono, K. Kushibiki, and S. Koyama, Astrophys. J. 941, 167 (2022).
  40. A. K. Burns, T. M. P. Tait, and M. Valli, Phys. Rev. Lett. 130, 131001 (2023).
  41. M. Escudero, A. Ibarra, and V. Maura, Phys. Rev. D 107, 035024 (2023).
  42. M. Lattanzi and M. Moretti, Symmetry 16, 1657 (2024).
  43. J. Froustey and C. Pitrou, Phys. Rev. D 110, 103551 (2024).
  44. Y. Z. Li and J. H. Yu, J. High Energy Phys. 06 (2025) 213.
  45. E. Di Valentino, O. Mena, S. Pan, L. Visinelli, W. Yang, A. Melchiorri, David F Mota, A. G. Riess, and J. Silk, Classical Quantum Gravity 38, 153001 (2021).
  46. G. Barenboim, W. H. Kinney, and W. I. Park, Eur. Phys. J. C 77, 590 (2017).
  47. S. Yeung, K. Lau, and M. C. Chu, J. Cosmol. Astropart. Phys. 04 (2021) 024.
  48. O. Seto and Y. Toda, Phys. Rev. D 104, 063019 (2021).
  49. S. Kumar, R. C. Nunes, and P. Yadav, J. Cosmol. Astropart. Phys. 09 (2022) 060.
  50. Y. Z. Li and J. H. Yu, arXiv:2501.13153.
  51. X. D. Shi and G. M. Fuller, Phys. Rev. Lett. 82, 2832 (1999).
  52. D. Borah and A. Dasgupta, Phys. Rev. D 108, 035015 (2023).
  53. T. Asaka and M. Shaposhnikov, Phys. Lett. B 620, 17 (2005).
  54. T. Asaka, S. Blanchet, and M. Shaposhnikov, Phys. Lett. B 631, 151 (2005).
  55. A. Casas, W. Y. Cheng, and G. Gelmini, Nucl. Phys. B538, 297 (1999).
  56. A. D. Dolgov and D. P. Kirilova, Sov. J. Nucl. Phys. 51, 172 (1990).
  57. I. Affleck and M. Dine, Nucl. Phys. B249, 361 (1985).
  58. M. Dine, L. Randall, and S. D. Thomas, Nucl. Phys. B458, 291 (1996).
  59. B. Bajc, A. Riotto, and G. Senjanovic, Phys. Rev. Lett. 81, 1355 (1998).
  60. M. Kawasaki, F. Takahashi, and M. Yamaguchi, Phys. Rev. D 66, 043516 (2002).
  61. M. Kawasaki and K. Murai, J. Cosmol. Astropart. Phys. 08 (2022) 041.
  62. D. Borah, N. Das, and I. Saha, arXiv:2410.00096.
  63. Y. ChoeJo, K. Enomoto, Y. Kim, and H. S. Lee, J. High Energy Phys. 03 (2024) 003.
  64. D. Bhandari, A. Datta, and A. Sil, Phys. Rev. D 110, 115008 (2024).
  65. Y. ChoeJo, K. Enomoto, Y. Kim, and H. S. Lee, Phys. Rev. D 111, 055026 (2025).
  66. J. March-Russell, H. Murayama, and A. Riotto, J. High Energy Phys. 11 (1999) 015.
  67. K. Mukaida, K. Schmitz, and M. Yamada, Phys. Rev. Lett. 129, 011803 (2022).
  68. Z. H. Zhao, J. Zhang, and X. Y. Wu, J. High Energy Phys. 09 (2024) 094.
  69. Y. Shao and Z. H. Zhao, Phys. Rev. D 111, 035011 (2025).
  70. https://data.mendeley.com/datasets/h7d9z7vmcp/1

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation