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Spontaneous leptogenesis in type I seesaw models

Eung Jin Chun

Hyun Min Lee and Jun-Ho Song

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Phys. Rev. D 113, 075021 – Published 16 April, 2026

DOI: https://doi.org/10.1103/ntrs-3dvb

Abstract

Type I seesaw models with a spontaneously broken B−L symmetry provide a natural framework for spontaneous leptogenesis driven by a Majoron. The kinetic background of the Majoron acts as a CP-violating source, generating a lepton asymmetry both through the decay of right-handed neutrinos and through equilibration via inverse-decay processes. We construct the Boltzmann equations in a fully consistent manner, incorporating both effects, to enable a quantitative analysis. When the neutrino Yukawa coupling is large enough to maintain B−L violating interactions in thermal equilibrium, the resulting asymmetry closely tracks its equilibrium value. In contrast, when this condition is not satisfied, a nontrivial interplay emerges between decay and inverse-decay dynamics, determined by the Yukawa coupling strength and the initial abundance of right-handed neutrinos.

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References (24)

  1. A. G. Cohen and D. B. Kaplan, Thermodynamic generation of the baryon asymmetry, Phys. Lett. B 199, 251 (1987); Spontaneous baryogenesis, Nucl. Phys. B308, 913 (1988).
  2. R. T. Co and K. Harigaya, Axiogenesis, Phys. Rev. Lett. 124, 111602 (2020).
  3. V. Domcke, Y. Ema, K. Mukaida, and M. Yamada, Spontaneous baryogenesis from axions with generic couplings, J. High Energy Phys. 08 (2020) 096.
  4. Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Spontaneously broken lepton number and cosmological constraints on the neutrino mass spectrum, Phys. Rev. Lett. 45, 1926 (1980); Are there real Goldstone bosons associated with broken lepton number?, Phys. Lett. 98B, 265 (1981).
  5. E. J. Chun and T. H. Jung, Leptogenesis driven by a Majoron, Phys. Rev. D 109, 095004 (2024).
  6. J. Wada, Majoron-driven leptogenesis in gauged U(1)Lμ−Lτ model, Phys. Rev. D 110, 103510 (2024).
  7. M. Ibe and K. Kaneta, Spontaneous thermal Leptogenesis via Majoron oscillation, Phys. Rev. D 92, 035019 (2015).
  8. W. Chao and Y. Q. Peng, Majorana Majoron and the baryon asymmetry of the universe, Eur. Phys. J. C 85, 768 (2025).
  9. A. Kusenko, K. Schmitz, and T. T. Yanagida, Leptogenesis via axion oscillations after inflation, Phys. Rev. Lett. 115, 011302 (2015).
  10. R. T. Co, N. Fernandez, A. Ghalsasi, L. J. Hall, and K. Harigaya, Lepto-axiogenesis, J. High Energy Phys. 03 (2021) 017.
  11. M. Berbig, Diraxiogenesis, J. High Energy Phys. 01 (2024) 061.
  12. P. Barnes, R. T. Co, K. Harigaya, and A. Pierce, Lepto-axiogenesis with light right-handed neutrinos, J. High Energy Phys. 08 (2025) 004.
  13. A. Datta, S. K. Manna, and A. Sil, Spontaneous leptogenesis with sub-GeV axionlike particles, Phys. Rev. D 110, 095035 (2024).
  14. M. Cataldi, A. Mariotti, F. Sala, and M. Vanvlasselaer, ALP leptogenesis: Non-thermal right-handed neutrinos from axions, J. High Energy Phys. 12 (2024) 125.
  15. M. Berbig, Type II seesaw leptogenesis in a Majoron background, arXiv:2506.23290.
  16. G. Barenboim, P. Ko, and W. i. Park, Axi-Majoron: One-shot solution to most of the big puzzles of particle cosmology, Phys. Rev. D 110, 123521 (2024).
  17. E. J. Chun, H. M. Lee, and J. H. Song, Peccei-Quinn genesis, arXiv:2512.12637.
  18. E. J. Chun, Spontaneous Cogensis by QCD axion in type I seesaw, arXiv:2601.09224.
  19. M. de Cesare, N. E. Mavromatos, and S. Sarkar, On the possibility of tree-level leptogenesis from Kalb–Ramond torsion background, Eur. Phys. J. C 75, 514 (2015); Leptogenesis from heavy right-handed neutrinos in CPT violating backgrounds, 78, 113 (2018).
  20. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
  21. For a review, see, e.g., S. Davidson, E. Nardi, and Y. Nir, Leptogenesis, Phys. Rep. 466, 105 (2008).
  22. S. Davidson and A. Ibarra, A lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett. B 535, 25 (2002).
  23. W. Buchmuller, P. Di Bari, and M. Plumacher, Leptogenesis for pedestrians, Ann. Phys. (Amsterdam) 315, 305 (2005).
  24. R. T. Co, L. J. Hall, and K. Harigaya, Axion kinetic misalignment mechanism, Phys. Rev. Lett. 124, 251802 (2020).

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Phys. Rev. D 113, 075021– Published 16 April, 2026
  • Received 20 December 2025
  • Accepted 23 March 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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