pith. sign in

arxiv: 2606.02706 · v1 · pith:FWTEAJ2Gnew · submitted 2026-06-01 · ✦ hep-ph

Majoron Dark Matter, High-Scale Seesaw, and Leptogenesis

Brian Batell , Arnab Dasgupta , Swapnil Dutta , Akshay Ghalsasi This is my paper

Pith reviewed 2026-06-28 13:21 UTC · model grok-4.3

classification ✦ hep-ph
keywords majorondark matterseesaw mechanismleptogenesislepton number breakingcosmic stringsneutrino masses
0
0 comments X

The pith

In high-scale seesaw models with broken lepton number, the majoron can serve as stable sub-MeV dark matter.

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

The paper examines how spontaneous breaking of lepton number at high scales in a seesaw framework produces a light majoron that can act as dark matter while right-handed neutrinos generate neutrino masses and enable thermal leptogenesis. Production occurs through misalignment in pre-inflationary breaking and through misalignment plus cosmic string radiation and domain wall collapse in post-inflationary breaking. The analysis maps the viable parameter space against cosmological and astrophysical constraints, showing that majoron dark matter can serve as a probe of the high-scale lepton number violation. A sympathetic reader would care because this links three major open questions—neutrino masses, the baryon asymmetry, and dark matter—within one testable cosmological history.

Core claim

We study the cosmology and observational probes of majoron dark matter in a high-scale seesaw framework with spontaneously broken lepton number. Right-handed neutrinos naturally generate light neutrino masses and can realize thermal leptogenesis, while the associated majoron is a light pseudo-Nambu-Goldstone boson that can be cosmologically stable and serve as a viable dark matter candidate for sub-MeV masses. We analyze both pre-inflationary and post-inflationary histories of lepton number breaking. In the pre-inflationary scenario, majoron dark matter is produced by misalignment and constrained by CMB isocurvature. In the post-inflationary scenario, the majoron abundance receives nontherma

What carries the argument

The majoron, a light pseudo-Nambu-Goldstone boson from spontaneous lepton number breaking, whose abundance is set by misalignment, cosmic string radiation, and domain wall collapse.

If this is right

  • Majoron dark matter receives nonthermal contributions from cosmic string radiation and domain wall collapse in post-inflationary breaking.
  • CMB isocurvature bounds apply directly to the pre-inflationary breaking case.
  • Future gravitational wave detectors can test the string network contribution to the majoron abundance.
  • X-ray, soft gamma-ray, black hole superradiance, and Lyman-alpha observations constrain the viable majoron mass and coupling ranges.

Where Pith is reading between the lines

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

  • If majoron dark matter is detected, its mass and production history would directly constrain the scale of lepton number breaking tied to leptogenesis.
  • Non-observation of the predicted gravitational wave signal would force either pre-inflationary breaking or additional suppression mechanisms for the string contribution.
  • The same framework could be extended to include other pseudo-Goldstone bosons from different global symmetries to test whether the majoron is unique in serving as dark matter.

Load-bearing premise

Lepton number is spontaneously broken at a high scale such that the majoron remains light, stable, and its abundance is determined by the listed production mechanisms without dominant additional effects.

What would settle it

Observation or non-observation of a stochastic gravitational wave background at frequencies set by the cosmic string network scale in the post-inflationary lepton number breaking scenario would confirm or rule out one of the major production channels.

Figures

Figures reproduced from arXiv: 2606.02706 by Akshay Ghalsasi, Arnab Dasgupta, Brian Batell, Swapnil Dutta.

Figure 1
Figure 1. Figure 1: FIG. 1. Anharmonic enhancement of the majoron energy density and isocurvature as a function [PITH_FULL_IMAGE:figures/full_fig_p011_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Majoron DM [PITH_FULL_IMAGE:figures/full_fig_p013_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Same as Fig [PITH_FULL_IMAGE:figures/full_fig_p014_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Majoron DM [PITH_FULL_IMAGE:figures/full_fig_p022_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Gravitational wave spectra from cosmic strings in the post-inflationary scenario for [PITH_FULL_IMAGE:figures/full_fig_p027_5.png] view at source ↗
read the original abstract

We study the cosmology and observational probes of majoron dark matter in a high-scale seesaw framework with spontaneously broken lepton number. Right-handed neutrinos naturally generate light neutrino masses and can realize thermal leptogenesis, while the associated majoron is a light pseudo-Nambu-Goldstone boson that can be cosmologically stable and serve as a viable dark matter candidate for sub-MeV masses. We analyze both pre-inflationary and post-inflationary histories of lepton number breaking. In the pre-inflationary scenario, majoron dark matter is produced by misalignment and constrained by CMB isocurvature. In the post-inflationary scenario, the majoron abundance receives nonthermal contributions from spatially averaged misalignment, majoron radiation from global cosmic strings, and the collapse of the string-domain wall network, as well as a thermally produced component. This scenario can also be probed by future searches for the stochastic gravitational wave background produced by cosmic strings. We map the viable majoron dark matter parameter space and examine complementary probes from X-ray and soft gamma ray searches for majoron decays to photons, black hole superradiance, and Lyman-$\alpha$ forest observations. These results demonstrate that majoron dark matter offers a distinctive cosmological probe of high-scale lepton number breaking and thermal 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

0 major / 1 minor

Summary. The manuscript studies majoron dark matter in a high-scale seesaw framework with spontaneous lepton-number breaking. Right-handed neutrinos generate light neutrino masses and enable thermal leptogenesis; the associated majoron is treated as a light pseudo-Nambu-Goldstone boson that remains cosmologically stable for sub-MeV masses. Production mechanisms are analyzed in both pre-inflationary (misalignment, CMB isocurvature) and post-inflationary (spatially averaged misalignment, global-string radiation, domain-wall collapse, plus thermal production) scenarios. The viable parameter space is mapped under standard constraints from X-ray/soft-gamma searches, black-hole superradiance, and Lyman-α forest data, with an additional probe via the stochastic gravitational-wave background from cosmic strings.

Significance. If the production calculations and stability assumptions hold, the work supplies a concrete cosmological link between high-scale lepton-number violation, thermal leptogenesis, and observable dark-matter phenomenology, including falsifiable predictions for future gravitational-wave and X-ray searches.

minor comments (1)
  1. The abstract refers to 'the listed production mechanisms' and 'standard constraints' without specifying the explicit breaking scale or the form of the majoron potential; a dedicated section or appendix deriving the mass and couplings from the high-scale seesaw would clarify the parameter counting.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their summary of the manuscript and for noting its potential significance in connecting high-scale lepton-number violation, thermal leptogenesis, and majoron dark matter phenomenology. We appreciate the recognition of the falsifiable predictions for gravitational-wave and X-ray searches. No specific major comments were raised in the report, so we offer no point-by-point responses below. We remain available to address any further questions or clarifications the referee may wish to provide.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper presents a standard parameter-space analysis of majoron dark matter production via misalignment, cosmic-string radiation, domain-wall collapse, and thermal mechanisms in a high-scale lepton-number-breaking seesaw model. The majoron mass and decay constant are treated as free inputs set by the explicit breaking scale; abundances and constraints (isocurvature, X-ray bounds, superradiance, Lyman-α) are computed from those inputs using conventional cosmological formulas without any step that reduces a claimed prediction back to a fitted quantity or self-citation by construction. No self-definitional relations, fitted-input predictions, or load-bearing self-citations appear in the derivation chain.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

Based solely on the abstract, the central claim rests on standard domain assumptions of the seesaw mechanism and spontaneous lepton number breaking; no free parameters or new entities with independent evidence are explicitly quantified.

axioms (2)
  • domain assumption Lepton number is spontaneously broken at a high scale in a seesaw framework
    Invoked to generate light neutrino masses, thermal leptogenesis, and the majoron.
  • domain assumption The majoron is a pseudo-Nambu-Goldstone boson that can remain cosmologically stable
    Required for it to serve as dark matter candidate.
invented entities (1)
  • majoron dark matter no independent evidence
    purpose: To account for the dark matter abundance via misalignment and cosmic string mechanisms
    The majoron is positioned as a viable sub-MeV dark matter candidate in this setup.

pith-pipeline@v0.9.1-grok · 5769 in / 1406 out tokens · 40859 ms · 2026-06-28T13:21:01.543234+00:00 · methodology

discussion (0)

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

Forward citations

Cited by 1 Pith paper

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

  1. Torsional four-fermion interaction for Majorana neutrinos

    hep-ph 2026-06 unverdicted novelty 4.0

    Torsion-induced four-fermion interactions modify effective masses and mixing parameters for Majorana neutrinos with sterile partners in matter.

Reference graph

Works this paper leans on

164 extracted references · 78 linked inside Pith · cited by 1 Pith paper

  1. [1]

    1 We further assume the existence of terms that explicitly break lepton number and generate a potential for the majoron field

    The complex scalar fieldσis parameterized as σ= fϕ√ 2 eiϕ/fϕ,(2) whereϕis the majoron, the pseudo-Nambu-Goldstone boson associated with spontaneous lepton number breaking. 1 We further assume the existence of terms that explicitly break lepton number and generate a potential for the majoron field. While we are agnostic about their origin, such terms could...

  2. [2]

    Majorons heavier than the MeV-scale and below the muon mass decay dominantly to electron-positron pairs

    larger values that satisfy the perturbativity of the Yukawa couplings, max(y ij)< √ 4π. Majorons heavier than the MeV-scale and below the muon mass decay dominantly to electron-positron pairs. The partial decay rate is given by [22] Γϕ→ee = |gϕee|2mϕ 8π 1− 4m2 e m2 ϕ !1/2 ,(12) whereg ϕee is the one-loop majoron-electron coupling, gϕee = me 8π2v −1 2TrK+K...

  3. [3]

    (20), in- cluding the factorF(ζ) that accounts for anharmonic effects

    Majoron relic abundance The majoron relic abundance due to misalignment production is given in Eq. (20), in- cluding the factorF(ζ) that accounts for anharmonic effects. In this appendix we describe our numerical approach to estimatingF(ζ). The equation of motion for the majoron back- ground,θ 0(t) =ϕ 0(t)/fϕ, in the radiation-dominated epoch (H= 1/(2t)),...

  4. [4]

    We determineF iso(ζ) numerically using method described below

    Majoron isocurvature perturbations The amplitude of the isocurvature power spectrum (25) depends on the anharmonic factor Fiso(ζ). We determineF iso(ζ) numerically using method described below. To compute the isocurvature power spectrum, we consider perturbations of the majoron about its homogeneous, time-dependent background,θ(t,x) =θ 0(t) +θ 1(t,x). Wor...

  5. [5]

    Minkowski,µ→eγat a Rate of One Out of10 9 Muon Decays?,Phys

    P. Minkowski,µ→eγat a Rate of One Out of10 9 Muon Decays?,Phys. Lett. B67(1977) 421

    1977

  6. [6]

    Yanagida,Horizontal gauge symmetry and masses of neutrinos,Conf

    T. Yanagida,Horizontal gauge symmetry and masses of neutrinos,Conf. Proc. C7902131 (1979) 95

    1979

  7. [7]

    Gell-Mann, P

    M. Gell-Mann, P. Ramond and R. Slansky,Complex Spinors and Unified Theories,Conf. Proc. C790927(1979) 315 [1306.4669]

    Pith/arXiv arXiv 1979

  8. [8]

    Glashow,The Future of Elementary Particle Physics,NATO Sci

    S.L. Glashow,The Future of Elementary Particle Physics,NATO Sci. Ser. B61(1980) 687

    1980

  9. [9]

    Mohapatra and G

    R.N. Mohapatra and G. Senjanovic,Neutrino Mass and Spontaneous Parity Nonconservation,Phys. Rev. Lett.44(1980) 912

    1980

  10. [10]

    Schechter and J.W.F

    J. Schechter and J.W.F. Valle,Neutrino Masses in SU(2) x U(1) Theories,Phys. Rev. D 22(1980) 2227

    1980

  11. [11]

    Fukugita and T

    M. Fukugita and T. Yanagida,Baryogenesis Without Grand Unification,Phys. Lett. B174 (1986) 45

    1986

  12. [12]

    Chikashige, R.N

    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(1980) 1926

    1980

  13. [13]

    Chikashige, R.N

    Y. Chikashige, R.N. Mohapatra and R.D. Peccei,Are There Real Goldstone Bosons Associated with Broken Lepton Number?,Phys. Lett. B98(1981) 265

    1981

  14. [14]

    Gelmini and M

    G.B. Gelmini and M. Roncadelli,Left-Handed Neutrino Mass Scale and Spontaneously Broken Lepton Number,Phys. Lett. B99(1981) 411

    1981

  15. [15]

    Marsh,Axion Cosmology,Phys

    D.J.E. Marsh,Axion Cosmology,Phys. Rept.643(2016) 1 [1510.07633]. 31

    Pith/arXiv arXiv 2016

  16. [16]

    O’Hare,Cosmology of axion dark matter,PoSCOSMICWISPers(2024) 040 [2403.17697]

    C.A.J. O’Hare,Cosmology of axion dark matter,PoSCOSMICWISPers(2024) 040 [2403.17697]

    arXiv 2024

  17. [17]

    Akhmedov, Z.G

    E.K. Akhmedov, Z.G. Berezhiani, R.N. Mohapatra and G. Senjanovic,Planck scale effects on the majoron,Phys. Lett. B299(1993) 90 [hep-ph/9209285]

    Pith/arXiv arXiv 1993

  18. [18]

    Cline, K

    J.M. Cline, K. Kainulainen and K.A. Olive,Constraints on majoron models, neutrino masses and baryogenesis,Astropart. Phys.1(1993) 387 [hep-ph/9304229]

    Pith/arXiv arXiv 1993

  19. [19]

    Rothstein, K.S

    I.Z. Rothstein, K.S. Babu and D. Seckel,Planck scale symmetry breaking and majoron physics,Nucl. Phys. B403(1993) 725 [hep-ph/9301213]

    Pith/arXiv arXiv 1993

  20. [20]

    Berezinsky and J.W.F

    V. Berezinsky and J.W.F. Valle,The KeV majoron as a dark matter particle,Phys. Lett. B 318(1993) 360 [hep-ph/9309214]

    Pith/arXiv arXiv 1993

  21. [21]

    Kazanas, R.N

    D. Kazanas, R.N. Mohapatra, S. Nasri and V.L. Teplitz,Neutrino mass, dark matter and inflation,Phys. Rev. D70(2004) 033015 [hep-ph/0403291]

    Pith/arXiv arXiv 2004

  22. [22]

    Boucenna, S

    S.M. Boucenna, S. Morisi, Q. Shafi and J.W.F. Valle,Inflation and majoron dark matter in the seesaw mechanism,Phys. Rev. D90(2014) 055023 [1404.3198]

    Pith/arXiv arXiv 2014

  23. [23]

    Lattanzi and J.W.F

    M. Lattanzi and J.W.F. Valle,Decaying warm dark matter and neutrino masses,Phys. Rev. Lett.99(2007) 121301 [0705.2406]

    Pith/arXiv arXiv 2007

  24. [24]

    Bazzocchi, M

    F. Bazzocchi, M. Lattanzi, S. Riemer-Sørensen and J.W.F. Valle,X-ray photons from late-decaying majoron dark matter,JCAP08(2008) 013 [0805.2372]

    Pith/arXiv arXiv 2008

  25. [25]

    Lattanzi, S

    M. Lattanzi, S. Riemer-Sorensen, M. Tortola and J.W.F. Valle,Updated CMB and x- and γ-ray constraints on Majoron dark matter,Phys. Rev. D88(2013) 063528 [1303.4685]

    Pith/arXiv arXiv 2013

  26. [26]

    Garcia-Cely and J

    C. Garcia-Cely and J. Heeck,Neutrino Lines from Majoron Dark Matter,JHEP05(2017) 102 [1701.07209]

    Pith/arXiv arXiv 2017

  27. [27]

    McKeen,Cosmic neutrino background search experiments as decaying dark matter detectors,Phys

    D. McKeen,Cosmic neutrino background search experiments as decaying dark matter detectors,Phys. Rev. D100(2019) 015028 [1812.08178]

    Pith/arXiv arXiv 2019

  28. [28]

    Esteves, F.R

    J.N. Esteves, F.R. Joaquim, A.S. Joshipura, J.C. Romao, M.A. Tortola and J.W.F. Valle, A4-based neutrino masses with Majoron decaying dark matter,Phys. Rev. D82(2010) 073008 [1007.0898]

    Pith/arXiv arXiv 2010

  29. [29]

    Heeck and D

    J. Heeck and D. Teresi,Cold keV dark matter from decays and scatterings,Phys. Rev. D96 (2017) 035018 [1706.09909]

    Pith/arXiv arXiv 2017

  30. [30]

    Manna and A

    S.K. Manna and A. Sil,Majorons revisited: Light dark matter as a FIMP,Phys. Rev. D 108(2023) 075026 [2212.08404]. 32

    arXiv 2023

  31. [31]

    King, S.K

    S.F. King, S.K. Manna, R. Roshan and A. Sil,Leptogenesis with Majoron dark matter, Phys. Rev. D111(2025) 095008 [2412.14121]

    arXiv 2025

  32. [32]

    Reig, J.W.F

    M. Reig, J.W.F. Valle and M. Yamada,Light majoron cold dark matter from topological defects and the formation of boson stars,JCAP09(2019) 029 [1905.01287]

    arXiv 2019

  33. [33]

    P.-H. Gu, E. Ma and U. Sarkar,Pseudo-Majoron as Dark Matter,Phys. Lett. B690(2010) 145 [1004.1919]

    Pith/arXiv arXiv 2010

  34. [34]

    Frigerio, T

    M. Frigerio, T. Hambye and E. Masso,Sub-GeV dark matter as pseudo-Goldstone from the seesaw scale,Phys. Rev. X1(2011) 021026 [1107.4564]

    Pith/arXiv arXiv 2011

  35. [35]

    Queiroz and K

    F.S. Queiroz and K. Sinha,The Poker Face of the Majoron Dark Matter Model: LUX to keV Line,Phys. Lett. B735(2014) 69 [1404.1400]

    Pith/arXiv arXiv 2014

  36. [36]

    Ibe and K

    M. Ibe and K. Kaneta,Spontaneous thermal Leptogenesis via Majoron oscillation,Phys. Rev. D92(2015) 035019 [1504.04125]

    Pith/arXiv arXiv 2015

  37. [37]

    Rojas, R.A

    N. Rojas, R.A. Lineros and F. Gonzalez-Canales,Majoron Dark Matter From a Spontaneous Inverse Seesaw Model,1703.03416

    arXiv

  38. [38]

    Shakya and J.D

    B. Shakya and J.D. Wells,Exotic Sterile Neutrinos and Pseudo-Goldstone Phenomenology, JHEP02(2019) 174 [1801.02640]

    Pith/arXiv arXiv 2019

  39. [39]

    Brune and H

    T. Brune and H. P¨ as,Massive Majorons and constraints on the Majoron-neutrino coupling, Phys. Rev. D99(2019) 096005 [1808.08158]

    Pith/arXiv arXiv 2019

  40. [40]

    Heeck and H.H

    J. Heeck and H.H. Patel,Majoron at two loops,Phys. Rev. D100(2019) 095015 [1909.02029]

    arXiv 2019

  41. [41]

    Biggio, L

    C. Biggio, L. Calibbi, T. Ota and S. Zanchini,Majoron dark matter from a type II seesaw model,Phys. Rev. D108(2023) 115003 [2304.12527]

    arXiv 2023

  42. [42]

    de Giorgi, L

    A. de Giorgi, L. Merlo, X. Ponce D´ ıaz and S. Rigolin,The minimal massive Majoron Seesaw Model,JHEP03(2024) 094 [2312.13417]

    arXiv 2024

  43. [43]

    Akita and M

    K. Akita and M. Niibo,Updated constraints and future prospects on majoron dark matter, JHEP07(2023) 132 [2304.04430]

    arXiv 2023

  44. [44]

    Chun, H.M

    E.J. Chun, H.M. Lee and J.-H. Song,Spontaneous leptogenesis in type I seesaw models, Phys. Rev. D113(2026) 075021 [2512.06413]

    arXiv 2026

  45. [45]

    Alonso and A

    R. Alonso and A. Urbano,Wormholes and masses for Goldstone bosons,JHEP02(2019) 136 [1706.07415]

    Pith/arXiv arXiv 2019

  46. [46]

    Sikivie,Of Axions, Domain Walls and the Early Universe,Phys

    P. Sikivie,Of Axions, Domain Walls and the Early Universe,Phys. Rev. Lett.48(1982) 33 1156

    1982

  47. [47]

    Vilenkin and A.E

    A. Vilenkin and A.E. Everett,Cosmic Strings and Domain Walls in Models with Goldstone and PseudoGoldstone Bosons,Phys. Rev. Lett.48(1982) 1867

    1982

  48. [48]

    Chang, C

    S. Chang, C. Hagmann and P. Sikivie,Studies of the motion and decay of axion walls bounded by strings,Phys. Rev. D59(1999) 023505 [hep-ph/9807374]

    Pith/arXiv arXiv 1999

  49. [49]

    Hiramatsu, M

    T. Hiramatsu, M. Kawasaki, K. Saikawa and T. Sekiguchi,Production of dark matter axions from collapse of string-wall systems,Phys. Rev. D85(2012) 105020 [1202.5851]

    Pith/arXiv arXiv 2012

  50. [50]

    Z. Maki, M. Nakagawa and S. Sakata,Remarks on the unified model of elementary particles,Prog. Theor. Phys.28(1962) 870

    1962

  51. [51]

    Pontecorvo,Neutrino Experiments and the Problem of Conservation of Leptonic Charge, Sov

    B. Pontecorvo,Neutrino Experiments and the Problem of Conservation of Leptonic Charge, Sov. Phys. JETP26(1968) 984

    1968

  52. [52]

    Casas and A

    J.A. Casas and A. Ibarra,Oscillating neutrinos andµ→e, γ,Nucl. Phys. B618(2001) 171 [hep-ph/0103065]

    Pith/arXiv arXiv 2001

  53. [53]

    Buchmuller, P

    W. Buchmuller, P. Di Bari and M. Plumacher,Leptogenesis for pedestrians,Annals Phys. 315(2005) 305 [hep-ph/0401240]. [50]Planckcollaboration,Planck 2018 results. VI. Cosmological parameters,Astron. Astrophys.641(2020) A6 [1807.06209]

    Pith/arXiv arXiv 2005

  54. [54]

    Yeh, K.A

    T.-H. Yeh, K.A. Olive, B.D. Fields, E. Aver, R.W. Pogge, N.S.J. Rogers et al.,The LBTY p Project V: Cosmological Implications of a New Determination of Primordial 4He, 2601.22239

    arXiv

  55. [55]

    L. Covi, E. Roulet and F. Vissani,CP violating decays in leptogenesis scenarios,Phys. Lett. B384(1996) 169 [hep-ph/9605319]

    Pith/arXiv arXiv 1996

  56. [56]

    Davidson and A

    S. Davidson and A. Ibarra,A Lower bound on the right-handed neutrino mass from leptogenesis,Phys. Lett. B535(2002) 25 [hep-ph/0202239]

    Pith/arXiv arXiv 2002

  57. [57]

    Esteban, M.C

    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,JHEP 12(2024) 216 [2410.05380]

    Pith/arXiv arXiv 2024

  58. [58]

    Nardi, Y

    E. Nardi, Y. Nir, E. Roulet and J. Racker,The Importance of flavor in leptogenesis,JHEP 01(2006) 164 [hep-ph/0601084]

    Pith/arXiv arXiv 2006

  59. [59]

    Abada, S

    A. Abada, S. Davidson, A. Ibarra, F.X. Josse-Michaux, M. Losada and A. Riotto,Flavour Matters in Leptogenesis,JHEP09(2006) 010 [hep-ph/0605281]. 34

    Pith/arXiv arXiv 2006

  60. [60]

    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,Nucl. Phys. B685(2004) 89 [hep-ph/0310123]

    Pith/arXiv arXiv 2004

  61. [61]

    Pilaftsis and T.E.J

    A. Pilaftsis and T.E.J. Underwood,Resonant leptogenesis,Nucl. Phys. B692(2004) 303 [hep-ph/0309342]. [59]Particle Data Groupcollaboration,Review of particle physics,Phys. Rev. D110(2024) 030001

    Pith/arXiv arXiv 2004

  62. [62]

    Naredo-Tuero, M

    D. Naredo-Tuero, M. Escudero, E. Fern´ andez-Mart´ ınez, X. Marcano and V. Poulin,Critical look at the cosmological neutrino mass bound,Phys. Rev. D110(2024) 123537 [2407.13831]

    arXiv 2024

  63. [63]

    De la Torre Luque, S

    P. De la Torre Luque, S. Balaji and J. Silk,New 511 keV line data provides strongest sub-GeV dark matter constraints,2312.04907

    arXiv

  64. [64]

    Arg¨ uelles, D

    C.A. Arg¨ uelles, D. Delgado, A. Friedlander, A. Kheirandish, I. Safa, A.C. Vincent et al., Dark matter decay to neutrinos,Phys. Rev. D108(2023) 123021 [2210.01303]

    arXiv 2023

  65. [65]

    Linde,Inflation and Axion Cosmology,Phys

    A.D. Linde,Inflation and Axion Cosmology,Phys. Lett. B201(1988) 437

    1988

  66. [66]

    Wilczek,A Model of anthropic reasoning, addressing the dark to ordinary matter coincidence,hep-ph/0408167

    F. Wilczek,A Model of anthropic reasoning, addressing the dark to ordinary matter coincidence,hep-ph/0408167

    Pith/arXiv arXiv

  67. [67]

    Tegmark, A

    M. Tegmark, A. Aguirre, M. Rees and F. Wilczek,Dimensionless constants, cosmology and other dark matters,Phys. Rev. D73(2006) 023505 [astro-ph/0511774]

    Pith/arXiv arXiv 2006

  68. [68]

    Hertzberg, M

    M.P. Hertzberg, M. Tegmark and F. Wilczek,Axion Cosmology and the Energy Scale of Inflation,Phys. Rev. D78(2008) 083507 [0807.1726]

    Pith/arXiv arXiv 2008

  69. [69]

    Takahashi and W

    F. Takahashi and W. Yin,QCD axion on hilltop by a phase shift ofπ,JHEP10(2019) 120 [1908.06071]

    arXiv 2019

  70. [70]

    R.T. Co, E. Gonzalez and K. Harigaya,Axion Misalignment Driven to the Hilltop,JHEP 05(2019) 163 [1812.11192]

    Pith/arXiv arXiv 2019

  71. [71]

    R.T. Co, E. Gonzalez and K. Harigaya,Axion Misalignment Driven to the Bottom,JHEP 05(2019) 162 [1812.11186]

    Pith/arXiv arXiv 2019

  72. [72]

    R.T. Co, L.J. Hall and K. Harigaya,Axion Kinetic Misalignment Mechanism,Phys. Rev. Lett.124(2020) 251802 [1910.14152]

    arXiv 2020

  73. [73]

    Starobinsky,STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE,Lect

    A.A. Starobinsky,STOCHASTIC DE SITTER (INFLATIONARY) STAGE IN THE EARLY UNIVERSE,Lect. Notes Phys.246(1986) 107. 35

    1986

  74. [74]

    Starobinsky and J

    A.A. Starobinsky and J. Yokoyama,Equilibrium state of a selfinteracting scalar field in the De Sitter background,Phys. Rev. D50(1994) 6357 [astro-ph/9407016]

    Pith/arXiv arXiv 1994

  75. [75]

    Graham and A

    P.W. Graham and A. Scherlis,Stochastic axion scenario,Phys. Rev. D98(2018) 035017 [1805.07362]

    Pith/arXiv arXiv 2018

  76. [76]

    Takahashi, W

    F. Takahashi, W. Yin and A.H. Guth,QCD axion window and low-scale inflation,Phys. Rev. D98(2018) 015042 [1805.08763]

    Pith/arXiv arXiv 2018

  77. [77]

    Kobayashi, R

    T. Kobayashi, R. Kurematsu and F. Takahashi,Isocurvature Constraints and Anharmonic Effects on QCD Axion Dark Matter,JCAP09(2013) 032 [1304.0922]

    Pith/arXiv arXiv 2013

  78. [78]

    Allali, P

    I.J. Allali, P. Chakraborty, J. Fan and M. Reece,Axion Perturbations: A General Analytical Treatment,2510.07371. [77]Planckcollaboration,Planck 2018 results. X. Constraints on inflation,Astron. Astrophys. 641(2020) A10 [1807.06211]. [78]CMB-S4collaboration,CMB-S4 Science Book, First Edition,1610.02743

    arXiv 2018

  79. [79]

    Bouchet, E

    L. Bouchet, E. Jourdain, J.P. Roques, A. Strong, R. Diehl, F. Lebrun et al.,INTEGRAL SPI All-Sky View in Soft Gamma Rays: Study of Point Source and Galactic Diffuse Emissions,Astrophys. J.679(2008) 1315 [0801.2086]

    Pith/arXiv arXiv 2008

  80. [80]

    Bouchet, A.W

    L. Bouchet, A.W. Strong, T.A. Porter, I.V. Moskalenko, E. Jourdain and J.-P. Roques, Diffuse emission measurement with INTEGRAL/SPI as indirect probe of cosmic-ray electrons and positrons,Astrophys. J.739(2011) 29 [1107.0200]

    Pith/arXiv arXiv 2011

Showing first 80 references.