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

Does thermal leptogenesis in a canonical seesaw scenario rely on initial memory?

Partha Kumar Paul*, Narendra Sahu†, and Shashwat Sharma‡

  • *Contact author: ph22resch11012@iith.ac.in
  • †Contact author: nsahu@phy.iith.ac.in
  • ‡Contact author: ph23resch11016@iith.ac.in

Phys. Rev. D 113, 095003 – Published 4 May, 2026

DOI: https://doi.org/10.1103/kybs-clk7

Abstract

It is a common lore that in thermal leptogenesis within the type-I seesaw framework and a hierarchical spectrum of heavy right-handed neutrinos (RHNs), the CP-violating, out-of-equilibrium decay of the lightest RHN (N1) is the only relevant source of the final B−L asymmetry, since any asymmetry produced by the heavier RHNs is expected to be erased by subsequent N1-mediated washout processes. In this work, we revisit this assumption by solving the density-matrix equations, including decay, inverse decay, and relevant scattering processes, and by fully accounting for flavor-projection effects induced by the Yukawa coupling structure. We show that the asymmetries generated by the heavier RHNs (N2 and N3) generally possess components that are misaligned in flavor space with respect to N1, resulting in a partially protected contribution that survives the N1 washout. Unlike the conventional picture of N2-dominated leptogenesis, this memory effect arises even when N1 remains dynamically relevant and cannot be captured within the classical Boltzmann framework. Furthermore, imposing consistency with low-energy neutrino mass and mixing data, we find that at most one RHN can lie in the weak washout regime, which naturally divides the parameter space into four distinct dynamical regimes. We systematically quantify the memory effect in each regime and demonstrate that it can significantly modify the final B−L asymmetry. We find that including projection effects can indeed extend the viable parameter space into the sensitivity range of neutrinoless double beta decay experiments.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (47)

  1. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  2. B. Fields and S. Sarkar, Big bang nucleosynthesis, Phys. Lett. B 592, 1 (2004).
  3. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  4. R. H. Cyburt, B. D. Fields, K. A. Olive, and E. Skillman, New BBN limits on physics beyond the standard model from He4, Astropart. Phys. 23, 313 (2005).
  5. G. Steigman, Primordial nucleosynthesis: Successes and challenges, Int. J. Mod. Phys. E 15, 1 (2006).
  6. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
  7. M. A. Luty, Baryogenesis via leptogenesis, Phys. Rev. D 45, 455 (1992).
  8. R. N. Mohapatra and X. Zhang, Electroweak baryogenesis in left-right-symmetric models, Phys. Rev. D 46, 5331 (1992).
  9. M. Flanz, E. A. Paschos, and U. Sarkar, Baryogenesis from a lepton asymmetric universe, Phys. Lett. B 345, 248 (1995); 384, 487(E) (1996); 382, 447(E) (1996).
  10. S. Davidson, E. Nardi, and Y. Nir, Leptogenesis, Phys. Rep. 466, 105 (2008).
  11. W. Buchmuller, P. Di Bari, and M. Plumacher, Leptogenesis for pedestrians, Ann. Phys. (Amsterdam) 315, 305 (2005).
  12. R. Barbieri, P. Creminelli, A. Strumia, and N. Tetradis, Baryogenesis through leptogenesis, Nucl. Phys. B575, 61 (2000).
  13. A. Pilaftsis and T. E. J. Underwood, Resonant leptogenesis, Nucl. Phys. B692, 303 (2004).
  14. A. Pilaftsis and T. E. J. Underwood, Electroweak-scale resonant leptogenesis, Phys. Rev. D 72, 113001 (2005).
  15. E. Nardi, Y. Nir, E. Roulet, and J. Racker, The Importance of flavor in leptogenesis, J. High Energy Phys. 01 (2006) 164.
  16. P. F. de Salas, D. V. Forero, C. A. Ternes, M. Tortola, and J. W. F. Valle, Status of neutrino oscillations 2018: 3σ Hint for normal mass ordering and improved CP sensitivity, Phys. Lett. B 782, 633 (2018).
  17. K. Abe et al. (T2K Collaboration), Measurements of neutrino oscillation in appearance and disappearance channels by the T2K experiment with 6.6×1020 protons on target, Phys. Rev. D 91, 072010 (2015).
  18. M. G. Aartsen et al. (IceCube Collaboration), The IceCube neutrino observatory—Contributions to ICRC 2015 Part II: Atmospheric and astrophysical diffuse neutrino searches of all flavors, in 34th International Cosmic Ray Conference (2015), https://inspirehep.net/literature/1398539.
  19. J. N. Bahcall and C. Pena-Garay, Solar models and solar neutrino oscillations, New J. Phys. 6, 63 (2004).
  20. S. Fukuda et al. (Super-Kamiokande Collaboration), Constraints on neutrino oscillations using 1258 days of Super-Kamiokande solar neutrino data, Phys. Rev. Lett. 86, 5656 (2001).
  21. K. Eguchi et al. (KamLAND Collaboration), First results from KamLAND: Evidence for reactor anti-neutrino disappearance, Phys. Rev. Lett. 90, 021802 (2003).
  22. P. Minkowski, μ→eγ at a rate of one out of 109 Muon decays?, Phys. Lett. 67B, 421 (1977).
  23. M. Gell-Mann, P. Ramond, and R. Slansky, Complex spinors and unified theories, Conf. Proc. C 790927, 315 (1979), https://inspirehep.net/literature/9686.
  24. Proceedings: Workshop on the Unified Theories and the Baryon Number in the Universe: Tsukuba, Japan, February 13-14, 1979, edited by O. Sawada and A. Sugamoto (Natl. Lab. High Energy Phys., Tsukuba, Japan, 1979).
  25. R. N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44, 912 (1980).
  26. J. Schechter and J. W. F. Valle, Neutrino masses in SU(2)×U(1) theories, Phys. Rev. D 22, 2227 (1980).
  27. J. W. F. Valle and J. C. Romao, Neutrinos in High Energy and Astroparticle Physics, Physics Textbook (Wiley-VCH, Weinheim, 2015).
  28. A. D. Sakharov, Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
  29. V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, On the anomalous electroweak baryon number nonconservation in the early universe, Phys. Lett. 155B, 36 (1985).
  30. M. Plumacher, Baryogenesis and lepton number violation, Z. Phys. C 74, 549 (1997).
  31. O. Vives, Flavor dependence of CP asymmetries and thermal leptogenesis with strong right-handed neutrino mass hierarchy, Phys. Rev. D 73, 073006 (2006).
  32. G. Engelhard, Y. Grossman, E. Nardi, and Y. Nir, The Importance of N2 leptogenesis, Phys. Rev. Lett. 99, 081802 (2007).
  33. S. Blanchet, P. Di Bari, D. A. Jones, and L. Marzola, Leptogenesis with heavy neutrino flavours: From density matrix to Boltzmann equations, J. Cosmol. Astropart. Phys. 01 (2013) 041.
  34. E. Bertuzzo, P. Di Bari, and L. Marzola, The problem of the initial conditions in flavoured leptogenesis and the Tauon N2-dominated scenario, Nucl. Phys. B849, 521 (2011).
  35. S. Antusch, P. Di Bari, D. A. Jones, and S. F. King, Leptogenesis in the two right-handed neutrino model revisited, Phys. Rev. D 86, 023516 (2012).
  36. K. Moffat, S. Pascoli, S. T. Petcov, H. Schulz, and J. Turner, Three-flavored nonresonant leptogenesis at intermediate scales, Phys. Rev. D 98, 015036 (2018).
  37. P. Di Bari, On the origin of matter in the universe, Prog. Part. Nucl. Phys. 122, 103913 (2022).
  38. P. Di Bari, Seesaw geometry and leptogenesis, Nucl. Phys. B727, 318 (2005).
  39. F. Hahn-Woernle, Wash-Out in N2-dominated leptogenesis, J. Cosmol. Astropart. Phys. 08 (2010) 029.
  40. M. Re Fiorentin, The N2-dominated scenario of leptogenesis, Proc. Sci. CORFU2014 (2015) 121.
  41. J. A. Casas and A. Ibarra, Oscillating neutrinos and μ→e,γ, Nucl. Phys. B618, 171 (2001).
  42. P. F. de Salas, D. V. Forero, S. Gariazzo, P. Martínez-Miravé, O. Mena, C. A. Ternes, M. Tórtola, and J. W. F. Valle, 2020 global reassessment of the neutrino oscillation picture, J. High Energy Phys. 02 (2021) 071.
  43. S. Davidson and A. Ibarra, A Lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett. B 535, 25 (2002).
  44. I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro, and T. Schwetz, NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations, J. High Energy Phys. 12 (2024) 216.
  45. S. Abe et al. (KamLAND-Zen Collaboration), Search for Majorana neutrinos with the complete KamLAND-Zen dataset, Phys. Rev. Lett. 135, 262501 (2025).
  46. G. Adhikari et al. (nEXO Collaboration), nEXO: Neutrinoless double beta decay search beyond 1028  year half-life sensitivity, J. Phys. G 49, 015104 (2022).
  47. N. Abgrall et al. (LEGEND Collaboration), The large enriched Germanium experiment for neutrinoless ββ decay: LEGEND-1000 preconceptual design report, arXiv:2107.11462.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation