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  • Letter
  • Open Access

Primordial Dirac leptogenesis

Aqeel Ahmed*, Juan P. Garcés†, and Manfred Lindner‡

  • *Contact author: aqeel.ahmed@mpi-hd.mpg.de
  • †Contact author: juan.garces@mpi-hd.mpg.de
  • ‡Contact author: lindner@mpi-hd.mpg.de

Phys. Rev. D 113, L111702 – Published 10 June, 2026

DOI: https://doi.org/10.1103/bnfj-ypx8

Abstract

We present a novel realization of Dirac leptogenesis based on the postinflationary reheating phase of the early Universe. An asymmetry generated within the scalar sector via CP-violating and out-of-equilibrium inflaton decays is transferred to chiral neutrinos through Yukawa interactions and then to baryons via electroweak sphalerons. We describe in detail a minimal realization of this mechanism that naturally accommodates small neutrino Yukawa couplings and results in contributions to the effective number of relativistic species, Neff, testable in upcoming cosmological observations.

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References (54)

  1. A. D. Sakharov, Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
  2. M. B. Gavela, P. Hernandez, J. Orloff, and O. Pene, Standard model CP violation and baryon asymmetry, Mod. Phys. Lett. A 9, 795 (1994).
  3. P. Huet and E. Sather, Electroweak baryogenesis and standard model CP violation, Phys. Rev. D 51, 379 (1995).
  4. A. Riotto and M. Trodden, Recent progress in baryogenesis, Annu. Rev. Nucl. Part. Sci. 49, 35 (1999).
  5. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
  6. S. Davidson, E. Nardi, and Y. Nir, Leptogenesis, Phys. Rep. 466, 105 (2008).
  7. F. R. Klinkhamer and N. S. Manton, A Saddle Point solution in the Weinberg-Salam theory, Phys. Rev. D 30, 2212 (1984).
  8. 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).
  9. M. E. Shaposhnikov, Baryon asymmetry of the universe in standard electroweak theory, Nucl. Phys. B287, 757 (1987).
  10. K. Dick, M. Lindner, M. Ratz, and D. Wright, Leptogenesis with Dirac neutrinos, Phys. Rev. Lett. 84, 4039 (2000).
  11. Y. Fukuda et al. (Super-Kamiokande Collaboration), Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett. 81, 1562 (1998).
  12. Q. R. Ahmad et al. (SNO Collaboration), Direct evidence for neutrino flavor transformation from neutral current interactions in the Sudbury Neutrino Observatory, Phys. Rev. Lett. 89, 011301 (2002).
  13. M. Aker et al. (KATRIN Collaboration), Direct neutrino-mass measurement with sub-electronvolt sensitivity, Nat. Phys. 18, 160 (2022).
  14. Y. Akrami et al. (Planck Collaboration), Planck 2018 results. X. Constraints on inflation, Astron. Astrophys. 641, A10 (2020).
  15. H. Murayama and A. Pierce, Realistic Dirac leptogenesis, Phys. Rev. Lett. 89, 271601 (2002).
  16. B. Thomas, Theory and phenomenology of Dirac leptogenesis, Other thesis, 2007.
  17. D. G. Cerdeno, A. Dedes, and T. E. J. Underwood, The minimal phantom sector of the standard model: Higgs phenomenology and Dirac leptogenesis, J. High Energy Phys. 09 (2006) 067.
  18. J. Heeck, J. Heisig, and A. Thapa, Testing Dirac leptogenesis with the cosmic microwave background and proton decay, Phys. Rev. D 108, 035014 (2023).
  19. N. D. Barrie and C. Han, Affleck-Dine Dirac leptogenesis, arXiv:2402.15245.
  20. T. Blažek, J. Heeck, J. Heisig, P. Maták, and V. Zaujec, Dirac leptogenesis from asymmetry wash-in via scatterings, Phys. Rev. D 110, 055042 (2024).
  21. K. S. Babu and A. Kaladharan, Dirac leptogenesis in left-right symmetric models, Phys. Rev. D 112, 035015 (2025).
  22. M. Berbig, S. M. A. S. H. E. D.: Standard Model Axion Seesaw Higgs inflation Extended for Dirac neutrinos, J. Cosmol. Astropart. Phys. 11 (2022) 042.
  23. G. Servant and S. Tulin, Baryogenesis and dark matter through a Higgs asymmetry, Phys. Rev. Lett. 111, 151601 (2013).
  24. S. Davidson, R. González Felipe, H. Serôdio, and J. P. Silva, Baryogenesis through split Higgsogenesis, J. High Energy Phys. 11 (2013) 100.
  25. K. R. S. Balaji and R. H. Brandenberger, Single field baryogenesis, Phys. Rev. Lett. 94, 031301 (2005).
  26. K. R. S. Balaji, T. Biswas, R. H. Brandenberger, and D. London, Dynamical CP violation in the early universe, Phys. Lett. B 595, 22 (2004).
  27. K. R. S. Balaji, T. Biswas, R. H. Brandenberger, and D. London, Dynamical CP violation in the early universe and leptogenesis, Phys. Rev. D 72, 056005 (2005).
  28. V. Keus and K. Tuominen, CP-violating inflation and its cosmological imprints, Phys. Rev. D 104, 063533 (2021).
  29. V. Keus and E. W. Kolb, Baryogenesis from primordial CP violation, J. High Energy Phys. 07 (2025) 156.
  30. S. Abel and V. Page, Affleck-Dine (pseudo)-Dirac neutrinogenesis, J. High Energy Phys. 05 (2006) 024.
  31. M. Berbig, Diraxiogenesis, J. High Energy Phys. 01 (2024) 061.
  32. M.-C. Chen, S. Ipek, and M. Ratz, Baryogenesis from flavon decays, Phys. Rev. D 100, 035011 (2019).
  33. I. Affleck and M. Dine, A new mechanism for baryogenesis, Nucl. Phys. B249, 361 (1985).
  34. C. D. Froggatt and H. B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP violation, Nucl. Phys. B147, 277 (1979).
  35. B. Garbrecht, More viable parameter space for leptogenesis, Phys. Rev. D 90, 063522 (2014).
  36. M. Laine, Sterile neutrino rates for general M, T, μ, k: Review of a theoretical framework, Ann. Phys. (Amsterdam) 444, 169022 (2022).
  37. I. Ghisoiu and M. Laine, Right-handed neutrino production rate at T>160  GeV, J. Cosmol. Astropart. Phys. 12 (2014) 032.
  38. R. Barbieri, L. J. Hall, and V. S. Rychkov, Improved naturalness with a heavy Higgs: An alternative road to LHC physics, Phys. Rev. D 74, 015007 (2006).
  39. N. G. Deshpande and E. Ma, Pattern of symmetry breaking with two Higgs doublets, Phys. Rev. D 18, 2574 (1978).
  40. Y. Shtanov, J. H. Traschen, and R. H. Brandenberger, Universe reheating after inflation, Phys. Rev. D 51, 5438 (1995).
  41. M. A. G. Garcia, K. Kaneta, Y. Mambrini, and K. A. Olive, Inflaton oscillations and post-inflationary reheating, J. Cosmol. Astropart. Phys. 04 (2021) 012.
  42. A. Ahmed, B. Grzadkowski, and A. Socha, Higgs boson induced reheating and ultraviolet frozen-in dark matter, J. High Energy Phys. 02 (2023) 196.
  43. J. A. Harvey and M. S. Turner, Cosmological baryon and lepton number in the presence of electroweak fermion-number violation, Phys. Rev. D 42, 3344 (1990).
  44. D. Toussaint, S. B. Treiman, F. Wilczek, and A. Zee, Matter-antimatter accounting, thermodynamics, and black-hole radiation, Phys. Rev. D 19, 1036 (1979).
  45. S. Weinberg, Cosmological production of baryons, Phys. Rev. Lett. 42, 850 (1979).
  46. E. W. Kolb and M. S. Turner, The early Universe, Nature (London) 294, 521 (1981).
  47. E. W. Kolb and M. S. Turner, The Early Universe, Vol. 69 (Taylor and Francis, London, 2019).
  48. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  49. K. N. Abazajian et al. (CMB-S4 Collaboration), CMB-S4 Science Book, First Edition (Fermi National Accelerator Laboratory, Batavia, 2016).
  50. K. Abazajian et al., CMB-S4 Science case, reference design, and project plan, arXiv:1907.04473.
  51. X. Luo, W. Rodejohann, and X.-J. Xu, Dirac neutrinos and Neff. Part II. The freeze-in case, J. Cosmol. Astropart. Phys. 03 (2021) 082.
  52. J. Kalinowski, T. Robens, D. Sokolowska, and A. F. Zarnecki, IDM Benchmarks for the LHC and Future Colliders, Symmetry 13, 991 (2021).
  53. W. Rodejohann, Neutrino-less double beta decay and particle physics, Int. J. Mod. Phys. E 20, 1833 (2011).
  54. G. Arcadi, J. P. Garcés, and M. Lindner, Baryogenesis and dark matter from light sterile neutrinos, arXiv:2603.19407.

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