pith. sign in

arxiv: 2602.04772 · v2 · pith:ZXZAZU73new · submitted 2026-02-04 · ✦ hep-ph · astro-ph.CO

Near-Resonant Thermal Leptogenesis

Angus Spalding This is my paper

Pith reviewed 2026-05-16 07:00 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.CO
keywords leptogenesisright-handed neutrinosCP asymmetrybaryon asymmetryquasi-degeneratethermal leptogenesisflavour effects
0
0 comments X

The pith

Quasi-degenerate right-handed neutrinos produce the baryon asymmetry down to electroweak scales without resonance.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper examines leptogenesis in the regime where right-handed neutrinos have nearly equal masses but remain non-resonant. Expanding the CP asymmetry parameter near degeneracy and imposing the condition that the mass splitting greatly exceeds the decay widths produces a universal upper bound of 1/200 on the asymmetry, independent of neutrino masses. The result demonstrates that thermal leptogenesis via right-handed neutrino decays can generate the observed matter asymmetry for masses above 100 GeV in both unflavoured and flavoured scenarios. It further shows compatibility with reheating temperatures down to 10 GeV and supplies a framework for including flavour effects during reheating. This approach lowers the required scale of leptogenesis to the electroweak range while avoiding resonance and non-thermal production mechanisms.

Core claim

In the quasi-degenerate but non-resonant regime, the CP asymmetry parameter is expanded near mass degeneracy subject to the condition ΔM > 100Γ_i, which produces the bound ε ≤ 1/200 independent of effective neutrino masses and right-handed neutrino mass. This enables successful baryon asymmetry generation by right-handed neutrino decays for M ≳ 100 GeV independent of washout regime, and during reheating down to T_RH ≃ 10 GeV, with a consistent treatment of flavour effects.

What carries the argument

The CP asymmetry parameter ε expanded near degeneracy under the non-resonance condition ΔM > 100Γ_i, which supplies the universal bound and controls the viable parameter space.

If this is right

  • Successful leptogenesis occurs for right-handed neutrino masses M ≳ 100 GeV independent of washout regime.
  • Baryon asymmetry generation remains possible with reheating temperatures as low as 10 GeV without non-thermal production.
  • Flavour effects can be incorporated consistently into near-resonant leptogenesis during reheating.
  • The leptogenesis scale reaches the electroweak range without invoking resonance.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This regime could be probed by collider searches for right-handed neutrinos with small but non-resonant mass splittings.
  • It supplies an alternative path for low-scale seesaw models to accommodate the observed asymmetry without high reheating temperatures.
  • Extensions could test how specific flavour structures modify the 1/200 bound in concrete neutrino mass models.

Load-bearing premise

The factor of 100 in the imposed condition ΔM > 100Γ_i is sufficient to justify the perturbative expansion near degeneracy while still permitting enough asymmetry for successful leptogenesis.

What would settle it

A full calculation of the CP asymmetry for mass splittings satisfying 10Γ_i < ΔM < 100Γ_i that yields values larger than 1/200 would show the derived bound does not hold.

Figures

Figures reproduced from arXiv: 2602.04772 by Angus Spalding.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p010_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p016_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p017_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p021_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9 [PITH_FULL_IMAGE:figures/full_fig_p022_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10 [PITH_FULL_IMAGE:figures/full_fig_p024_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11 [PITH_FULL_IMAGE:figures/full_fig_p025_11.png] view at source ↗
read the original abstract

We study leptogenesis in the quasi-degenerate but non-resonant regime. Expanding the CP asymmetry parameter near degeneracy and imposing the conservative non-resonance condition that the mass splitting must be much greater than the right-handed neutrino decay rates $\Delta M > 100\Gamma_i$, yields the universal upper bound $\epsilon \leq 1/200$, independent of both the effective neutrino masses and the right-handed neutrino mass. We investigate vanilla and flavoured near-resonant leptogenesis and find that successful leptogenesis by right-handed neutrino decays can occur for $M \gtrsim 100~\mathrm{GeV}$ independent of washout regime, extending the viable parameter space of thermal leptogenesis down to the electroweak scale without invoking resonance. We also analyse near-resonant thermal leptogenesis during reheating and show that successful baryon asymmetry generation is compatible with reheating temperatures as low as $T_{RH}\simeq 10\rm GeV$ without relying on non-thermal production. Finally, we present a consistent framework for incorporating flavour effects in near-resonant leptogenesis during reheating. Overall, near-resonant thermal leptogenesis offers a controlled alternative regime to resonant leptogenesis, lowering the leptogenesis scale to the electroweak scale, without reliance on a disputed regulator used in resonant leptogenesis.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The paper studies thermal leptogenesis in the quasi-degenerate but non-resonant regime. Expanding the CP asymmetry near degeneracy and imposing the condition ΔM > 100Γ_i yields a claimed universal upper bound ε ≤ 1/200 independent of effective neutrino masses and right-handed neutrino mass. It argues that successful leptogenesis remains possible for M ≳ 100 GeV and during reheating with T_RH ≃ 10 GeV, offering a controlled alternative to resonant leptogenesis without disputed regulators.

Significance. If the bound and regime validity hold, the work meaningfully extends the viable parameter space of thermal leptogenesis to the electroweak scale in a perturbative manner. The universal bound and low-scale reheating compatibility could inform model building for baryogenesis, while the flavour analysis during reheating adds a useful technical framework.

major comments (1)
  1. [expansion near degeneracy and imposition of ΔM > 100Γ_i] The derivation of the universal bound ε ≤ 1/200 (abstract) relies on imposing the specific non-resonance cutoff ΔM > 100Γ_i to truncate the near-degeneracy expansion. This factor directly sets the numerical value of the bound, yet the manuscript provides no explicit demonstration that higher-order terms remain negligible at Γ/ΔM ≈ 0.01 or that mass-dependent corrections do not re-enter; altering the cutoff factor would proportionally rescale ε_max, making the choice load-bearing rather than derived.
minor comments (2)
  1. [Abstract] The abstract states independence from effective neutrino masses and M; cross-reference the explicit equation or step in the expansion where this independence is proven.
  2. [near-resonant thermal leptogenesis during reheating] In the reheating section, clarify the precise relation between T_RH, the decay rates Γ_i, and the imposed cutoff to ensure the perturbative regime remains consistent at low temperatures.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the positive assessment of its potential significance in extending the viable parameter space of thermal leptogenesis. We address the major comment below and agree that the justification of our non-resonance cutoff requires strengthening. We will revise the manuscript accordingly.

read point-by-point responses

  1. Referee: The derivation of the universal bound ε ≤ 1/200 (abstract) relies on imposing the specific non-resonance cutoff ΔM > 100Γ_i to truncate the near-degeneracy expansion. This factor directly sets the numerical value of the bound, yet the manuscript provides no explicit demonstration that higher-order terms remain negligible at Γ/ΔM ≈ 0.01 or that mass-dependent corrections do not re-enter; altering the cutoff factor would proportionally rescale ε_max, making the choice load-bearing rather than derived.

    Authors: We appreciate this observation. The factor of 100 in ΔM > 100Γ_i was chosen as a conservative threshold to ensure the system remains firmly in the non-resonant regime, where the leading term in the near-degeneracy expansion of the CP asymmetry dominates and higher-order contributions in powers of Γ/ΔM are strongly suppressed. At Γ/ΔM = 0.01 the next-to-leading corrections scale as (Γ/ΔM)^2 ≈ 10^{-4} and are negligible for the purposes of deriving the bound. We acknowledge, however, that the original manuscript did not contain an explicit demonstration of this suppression or an assessment of possible mass-dependent corrections. In the revised version we will add a dedicated paragraph (or short appendix) that estimates the truncation error of the expansion, compares the leading-order result to the exact expression in a benchmark case, and confirms that mass-dependent terms remain subdominant throughout the parameter region of interest. This addition will substantiate the cutoff without altering the numerical value of the bound or the main conclusions. revision: yes

Circularity Check

1 steps flagged

Universal bound ε ≤ 1/200 is constructed by imposing ΔM > 100Γ_i on the near-degeneracy expansion

specific steps
  1. fitted input called prediction [Abstract]
    "imposing the conservative non-resonance condition that the mass splitting must be much greater than the right-handed neutrino decay rates ΔM > 100Γ_i, yields the universal upper bound ε ≤ 1/200, independent of both the effective neutrino masses and the right-handed neutrino mass."

    The bound ε ≤ 1/200 is obtained by substituting the imposed cutoff ΔM = 100Γ_i into the expanded expression for the CP asymmetry. Because the asymmetry scales proportionally with Γ/ΔM in the near-degenerate expansion, the specific numerical limit is forced by the arbitrary choice of the factor 100; changing the threshold to 10 or 1000 would proportionally rescale the bound, making the result equivalent to the input condition by construction.

full rationale

The paper expands the CP asymmetry near degeneracy and then imposes the condition ΔM > 100Γ_i to obtain the bound ε ≤ 1/200. This numerical value is the direct output of evaluating the expansion at the chosen cutoff (where the expansion parameter Γ/ΔM = 0.01), so the claimed universal upper bound reduces to the modeling choice of the factor 100 rather than an independent first-principles result. The derivation chain is self-contained in the expansion plus the externally imposed threshold, with no load-bearing self-citations or other circular patterns identified from the provided text.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on the validity of a perturbative expansion in the mass splitting under an externally chosen non-resonance cutoff and on the standard Boltzmann-equation treatment of leptogenesis.

free parameters (1)
  • non-resonance cutoff factor
    The numerical factor 100 in ΔM > 100Γ_i is chosen by hand to enforce the non-resonant regime.
axioms (2)
  • domain assumption Standard Boltzmann equations govern the evolution of lepton asymmetry in the early universe
    Invoked to translate the CP asymmetry into the final baryon asymmetry.
  • ad hoc to paper The perturbative expansion near degeneracy remains valid when ΔM > 100Γ_i
    This condition is imposed by the paper to derive the bound.

pith-pipeline@v0.9.0 · 5518 in / 1404 out tokens · 33283 ms · 2026-05-16T07:00:09.781063+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Linking Leptogenesis and Asymmetric Dark Matter: A Testable Framework for Neutrino Mass and the Matter-Antimatter Asymmetry

    hep-ph 2026-02 unverdicted novelty 6.0

    A leptogenesis framework generates both baryon asymmetry and asymmetric dark matter via heavy Majorana neutrino decays, enabling a TeV-scale seesaw with hierarchical couplings and testable spin-independent DM cross se...

Reference graph

Works this paper leans on

61 extracted references · 61 canonical work pages · cited by 1 Pith paper

  1. [1]

    Bound on Reheating Temperature 22 C

    Rescaling Variables 19 B. Bound on Reheating Temperature 22 C. Flavour Effects 25 V. Conclusions26 Acknowledgements27 References27 I. INTRODUCTION The observation of neutrino oscillations [1–9] confirmed that neutrinos have non-zero masses. This is inconsistent with the Standard Model, in which neutrinos are exactly mass- less, and therefore requires an e...

    work page

  2. [2]

    In the limitsM i ≫m D the seesaw relation is achieved. We adopt the Casas–Ibarra parametrisation of the Yukawa matrix, which allows us to express the neutrino Yukawa couplings in terms of low-energy neutrino data, heavy neutrino masses, the PMNS matrix, and a complex orthogonal matrix. Y= 1 v U √mν RT √ M .(2) A key quantity derived from this matrix, whic...

    work page

  3. [3]

    Rescaling Variables To make the Boltzmann equations numerically tractable it is convenient to introduce comoving variables that absorb the dilution factors due to the cosmic expansion. We define our parameters in terms of the scale factor a Eϕ ≡ρ ϕa3, E N ≡ρ N a3, E R ≡ρ Ra4, N B−L ≡n B−La3, x≡lna,(37) 19 The new variablex= lnais the number of e-folds act...

    work page

  4. [4]

    Fukuda et al

    S. Fukuda et al. Constraints on neutrino oscillations using 1258 days of super-kamiokande solar neutrino data.Physical Review Letters, 86(25):5656–5660, June 2001

    work page 2001

  5. [5]

    Fukuda et al

    S. Fukuda et al. Determination of solar neutrino oscillation parameters using 1496 days of super-kamiokande-i data.Physics Letters B, 539(3–4):179–187, July 2002

    work page 2002

  6. [6]

    Q. R. Ahmad et al. Direct evidence for neutrino flavor transformation from neutral-current interactions in the sudbury neutrino observatory.Physical Review Letters, 89(1), June 2002

    work page 2002

  7. [7]

    Ashie et al

    Y. Ashie et al. Measurement of atmospheric neutrino oscillation parameters by super- kamiokande i.Physical Review D, 71(11), June 2005

    work page 2005

  8. [8]

    Abe et al

    S. Abe et al. Precision measurement of neutrino oscillation parameters with kamland.Physical Review Letters, 100(22), June 2008

    work page 2008

  9. [9]

    Abe et al

    K. Abe et al. Indication of electron neutrino appearance from an accelerator-produced off-axis 27 muon neutrino beam.Physical Review Letters, 107(4), July 2011

    work page 2011

  10. [10]

    Abe et al

    K. Abe et al. Solar neutrino measurements in super-kamiokande-iv.Physical Review D, 94(5), September 2016

    work page 2016

  11. [11]

    O. Yu. Smirnov et al. Measurement of neutrino flux from the primary proton–proton fusion process in the sun with borexino detector.Physics of Particles and Nuclei, 47(6):995–1002, November 2016

    work page 2016

  12. [12]

    Aartsen et al

    M.G. Aartsen et al. Measurement of atmospheric neutrino oscillations at 6–56gev with icecube deepcore.Physical Review Letters, 120(7), February 2018

    work page 2018

  13. [13]

    Peter Minkowski.µ→eγat a Rate of One Out of 1-Billion Muon Decays?Phys. Lett. B, 67:421–428, 1977

    work page 1977

  14. [14]

    Complex Spinors and Unified Theories.Conf

    Murray Gell-Mann, Pierre Ramond, and Richard Slansky. Complex Spinors and Unified Theories.Conf. Proc. C, 790927:315–321, 1979

    work page 1979

  15. [15]

    Horizontal gauge symmetry and masses of neutrinos.Conf

    Tsutomu Yanagida. Horizontal gauge symmetry and masses of neutrinos.Conf. Proc. C, 7902131:95–99, 1979

    work page 1979

  16. [16]

    Mohapatra and Goran Senjanovic

    Rabindra N. Mohapatra and Goran Senjanovic. Neutrino Masses and Mixings in Gauge Models with Spontaneous Parity Violation.Phys. Rev. D, 23:165, 1981

    work page 1981

  17. [17]

    Fukugita and T

    M. Fukugita and T. Yanagida. Baryogenesis Without Grand Unification.Phys. Lett. B, 174:45–47, 1986

    work page 1986

  18. [18]

    Markus A. Luty. Baryogenesis via leptogenesis.Phys. Rev. D, 45:455–465, 1992

    work page 1992

  19. [19]

    Giudice, A

    G.F. Giudice, A. Notari, M. Raidal, A. Riotto, and A. Strumia. Towards a complete theory of thermal leptogenesis in the sm and mssm.Nuclear Physics B, 685(1–3):89–149, May 2004

    work page 2004

  20. [20]

    Cp violating decays in leptogenesis scenarios.Physics Letters B, 384(1–4):169–174, September 1996

    Laura Covi, Esteban Roulet, and Francesco Vissani. Cp violating decays in leptogenesis scenarios.Physics Letters B, 384(1–4):169–174, September 1996

    work page 1996

  21. [21]

    Buchm¨ uller, P

    W. Buchm¨ uller, P. Di Bari, and M. Pl¨ umacher. Leptogenesis for pedestrians.Annals of Physics, 315(2):305–351, February 2005

    work page 2005

  22. [22]

    A. D. Sakharov. Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe.Pisma Zh. Eksp. Teor. Fiz., 5:32–35, 1967

    work page 1967

  23. [23]

    Kolb and Stephen Wolfram

    Edward W. Kolb and Stephen Wolfram. Baryon Number Generation in the Early Universe. Nucl. Phys. B, 172:224, 1980. [Erratum: Nucl.Phys.B 195, 542 (1982)]

    work page 1980

  24. [24]

    S. Yu. Khlebnikov and M. E. Shaposhnikov. The Statistical Theory of Anomalous Fermion Number Nonconservation.Nucl. Phys. B, 308:885–912, 1988. 28

    work page 1988

  25. [25]

    Cp violation and baryogenesis due to heavy majorana neutrinos.Physical Review D, 56(9):5431–5451, November 1997

    Apostolos Pilaftsis. Cp violation and baryogenesis due to heavy majorana neutrinos.Physical Review D, 56(9):5431–5451, November 1997

    work page 1997

  26. [26]

    Anisimov, A

    A. Anisimov, A. Broncano, and M. Pl¨ umacher. The cp-asymmetry in resonant leptogenesis. Nuclear Physics B, 737(1–2):176–189, March 2006

    work page 2006

  27. [27]

    Strong washout approximation to reso- nant leptogenesis.Journal of Cosmology and Astroparticle Physics, 2014(09):033–033, Septem- ber 2014

    Bj¨ orn Garbrecht, Florian Gautier, and Juraj Klaric. Strong washout approximation to reso- nant leptogenesis.Journal of Cosmology and Astroparticle Physics, 2014(09):033–033, Septem- ber 2014

    work page 2014

  28. [28]

    Leptogenesis from first principles in the resonant regime.Annals of Physics, 328:26–63, January 2013

    Mathias Garny, Alexander Kartavtsev, and Andreas Hohenegger. Leptogenesis from first principles in the resonant regime.Annals of Physics, 328:26–63, January 2013

    work page 2013

  29. [29]

    On resonant leptogenesis.Journal of Cosmology and Astroparticle Physics, 2007(08):013–013, August 2007

    Andrea De Simone and Antonio Riotto. On resonant leptogenesis.Journal of Cosmology and Astroparticle Physics, 2007(08):013–013, August 2007

    work page 2007

  30. [30]

    Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations.Physical Review D, 104(5), September 2021

    Juraj Klaric, Mikhail Shaposhnikov, and Inar Timiryasov. Reconciling resonant leptogenesis and baryogenesis via neutrino oscillations.Physical Review D, 104(5), September 2021

    work page 2021

  31. [31]

    Alan H. Guth. The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems.Phys. Rev. D, 23:347–356, 1981

    work page 1981

  32. [32]

    Andrei D. Linde. A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems.Phys. Lett. B, 108:389– 393, 1982

    work page 1982

  33. [33]

    Lyth and Antonio Riotto

    David H. Lyth and Antonio Riotto. Particle physics models of inflation and the cosmological density perturbation.Phys. Rept., 314:1–146, 1999

    work page 1999

  34. [34]

    Hahn-Woernle and M

    F. Hahn-Woernle and M. Pl¨ umacher. Effects of reheating on leptogenesis.Nuclear Physics B, 806(1–2):68–83, January 2009

    work page 2009

  35. [35]

    Flavor leptogenesis during reheating era, 2023

    Arghyajit Datta, Rishav Roshan, and Arunansu Sil. Flavor leptogenesis during reheating era, 2023

    work page 2023

  36. [36]

    Effects of reheating on charged lepton yukawa equilibration and leptogenesis, 2024

    Arghyajit Datta, Rishav Roshan, and Arunansu Sil. Effects of reheating on charged lepton yukawa equilibration and leptogenesis, 2024

    work page 2024

  37. [37]

    Towards a systematic study of non-thermal leptogenesis from inflaton decays, 2024

    Xinyi Zhang. Towards a systematic study of non-thermal leptogenesis from inflaton decays, 2024

    work page 2024

  38. [38]

    On higgs and sphaleron effects during the leptogenesis era.Journal of High Energy Physics, 2006(01):068–068, January 2006

    Enrico Nardi, Yosef Nir, Juan Racker, and Esteban Roulet. On higgs and sphaleron effects during the leptogenesis era.Journal of High Energy Physics, 2006(01):068–068, January 2006

    work page 2006

  39. [39]

    The Importance of flavor in 29 leptogenesis.JHEP, 01:164, 2006

    Enrico Nardi, Yosef Nir, Esteban Roulet, and Juan Racker. The Importance of flavor in 29 leptogenesis.JHEP, 01:164, 2006

    work page 2006

  40. [40]

    Flavour issues in leptogenesis.Journal of Cosmology and Astroparticle Physics, 2006(04):004–004, April 2006

    Asmaa Abada, Sacha Davidson, Francois-Xavier Josse-Michaux, Marta Losada, and Anto- nio Riotto. Flavour issues in leptogenesis.Journal of Cosmology and Astroparticle Physics, 2006(04):004–004, April 2006

    work page 2006

  41. [41]

    Flavour-dependent leptogenesis with sequential domi- nance.Journal of Cosmology and Astroparticle Physics, 2006(11):011–011, November 2006

    S Antusch, S F King, and A Riotto. Flavour-dependent leptogenesis with sequential domi- nance.Journal of Cosmology and Astroparticle Physics, 2006(11):011–011, November 2006

    work page 2006

  42. [42]

    Flavour effects on leptogenesis predictions.Journal of Cosmology and Astroparticle Physics, 2007(03):018–018, March 2007

    Steve Blanchet and Pasquale Di Bari. Flavour effects on leptogenesis predictions.Journal of Cosmology and Astroparticle Physics, 2007(03):018–018, March 2007

    work page 2007

  43. [43]

    On the impact of flavour oscillations in leptogenesis

    Andrea De Simone and Antonio Riotto. On the impact of flavour oscillations in leptogenesis. JCAP, 02:005, 2007

    work page 2007

  44. [44]

    Ramsey-Musolf, and Sean Tulin

    Vincenzo Cirigliano, Christopher Lee, Michael J. Ramsey-Musolf, and Sean Tulin. Flavored quantum boltzmann equations.Physical Review D, 81(10), May 2010

    work page 2010

  45. [45]

    Quantum boltzmann equations and leptogenesis

    Andrea De Simone and Antonio Riotto. Quantum boltzmann equations and leptogenesis. Journal of Cosmology and Astroparticle Physics, 2007(08):002–002, August 2007

    work page 2007

  46. [46]

    Leptogenesis with small violation ofb-l.Journal of Cosmology and Astroparticle Physics, 2012(07):030–030, July 2012

    J Racker, Manuel Pe˜ na, and Nuria Rius. Leptogenesis with small violation ofb-l.Journal of Cosmology and Astroparticle Physics, 2012(07):030–030, July 2012

    work page 2012

  47. [47]

    Moffat, S

    K. Moffat, S. Pascoli, S.T. Petcov, H. Schulz, and J. Turner. Three-flavored nonresonant leptogenesis at intermediate scales.Physical Review D, 98(1), July 2018

    work page 2018

  48. [48]

    Baker, Ansh Bhatnagar, Djuna Croon, and Jessica Turner

    Michael J. Baker, Ansh Bhatnagar, Djuna Croon, and Jessica Turner. Hot leptogenesis, 2024

    work page 2024

  49. [49]

    Granelli, K

    A. Granelli, K. Moffat, Y.F. Perez-Gonzalez, H. Schulz, and J. Turner. Ulysses: Universal leptogenesis equation solver.Computer Physics Communications, 262:107813, May 2021

    work page 2021

  50. [50]

    Granelli, C

    A. Granelli, C. Leslie, Y.F. Perez-Gonzalez, H. Schulz, B. Shuve, J. Turner, and R. Walker. Ulysses, universal leptogenesis equation solver: Version 2.Computer Physics Communications, 291:108834, October 2023

    work page 2023

  51. [51]

    Jones, Pasquale Di Bari, and Luca Marzola

    Steve Blanchet, David A. Jones, Pasquale Di Bari, and Luca Marzola. Leptogenesis with heavy neutrino flavours: from density matrix to boltzmann equations, 2013

    work page 2013

  52. [52]

    Gravitational wave spectral shapes as a probe of long lived right-handed neutrinos, leptogenesis and dark matter: Gobal versus local b-l cosmic strings, 2025

    Satyabrata Datta, Anish Ghoshal, Angus Spalding, and Graham White. Gravitational wave spectral shapes as a probe of long lived right-handed neutrinos, leptogenesis and dark matter: Gobal versus local b-l cosmic strings, 2025

    work page 2025

  53. [53]

    Cosmic strings gravitational wave probe of leptogenesis: Thermal, non-thermal, near-resonant and flavourful, 2025

    Anish Ghoshal, Angus Spalding, and Graham White. Cosmic strings gravitational wave probe of leptogenesis: Thermal, non-thermal, near-resonant and flavourful, 2025. 30

    work page 2025

  54. [54]

    An introduction to leptogenesis and neutrino properties.Contemporary Physics, 53(4):315–338, July 2012

    Pasquale Di Bari. An introduction to leptogenesis and neutrino properties.Contemporary Physics, 53(4):315–338, July 2012

    work page 2012

  55. [55]

    Underwood

    Apostolos Pilaftsis and Thomas E.J. Underwood. Resonant leptogenesis.Nuclear Physics B, 692(3):303–345, August 2004

    work page 2004

  56. [56]

    Planck2018 results: Vi

    Planck Collaboration. Planck2018 results: Vi. cosmological parameters.Astronomy &; As- trophysics, 641:A6, September 2020

    work page 2020

  57. [57]

    P. A. Zyla et al. Review of Particle Physics.PTEP, 2020(8):083C01, 2020

    work page 2020

  58. [58]

    Leptogenesis in the universe.Advances in High Energy Physics, 2012:1–59, 2012

    Chee Sheng Fong, Enrico Nardi, and Antonio Riotto. Leptogenesis in the universe.Advances in High Energy Physics, 2012:1–59, 2012

    work page 2012

  59. [59]

    Drewes, B

    M. Drewes, B. Garbrecht, P. Hern´ andez, M. Kekic, J. Lopez-Pavon, J. Racker, N. Rius, J. Salvado, and D. Teresi. Ars leptogenesis.International Journal of Modern Physics A, 33(05n06):1842002, February 2018

    work page 2018

  60. [60]

    E. Kh. Akhmedov, V. A. Rubakov, and A. Yu. Smirnov. Baryogenesis via neutrino oscillations. Physical Review Letters, 81(7):1359–1362, August 1998

    work page 1998

  61. [61]

    Daniel J. H. Chung, Edward W. Kolb, and Antonio Riotto. Production of massive particles during reheating.Phys. Rev. D, 60:063504, 1999. 31

    work page 1999