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Genesis of baryon and dark matter asymmetries through ultraviolet scattering freeze-in

Pouya Asadi1,*, Marianne Moore2,3,†, David E. Morrissey4,‡, and Michael Shamma4,5,§

  • *Contact author: pasadi@uoregon.edu
  • †Contact author: mamoore@mit.edu
  • ‡Contact author: dmorri@triumf.ca
  • §Contact author: mshamma@triumf.ca

Phys. Rev. D 113, 055006 – Published 3 March, 2026

DOI: https://doi.org/10.1103/gcb5-pgsk

Abstract

We introduce a new mechanism for the simultaneous generation of baryon and dark matter asymmetries through ultraviolet-dominated freeze-in scatterings. The mechanism relies on heavy Majorana neutrinos that connect the visible Standard Model sector to a dark sector through the neutrino portal. Following reheating of the visible sector to a temperature well below the heavy neutrino masses, we show that 2-to-2 scattering processes can populate the dark sector and generate both baryon and dark matter asymmetries. In some parameter regions, the dominant source of baryon asymmetry can be charge transfer from the dark sector, a process we call dark wash-in. We also demonstrate that annihilation of the dark matter to massless states within the dark sector can deplete the symmetric population without destroying the net baryon charge to leave only an asymmetric dark matter abundance today. Depending on the specific model parameters, the observed baryon and dark matter abundances can be attained with heavy neutrino masses MN≳1010  GeV and dark matter masses in the range 0.1  GeV≲mχ≲103  GeV if the dark matter relic abundance is mainly asymmetric and even lower masses if it is symmetric.

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References (141)

  1. G. Jungman, M. Kamionkowski, and K. Griest, Supersymmetric dark matter, Phys. Rep. 267, 195 (1996).
  2. G. Bertone, D. Hooper, and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rep. 405, 279 (2005).
  3. L. Roszkowski, E. M. Sessolo, and S. Trojanowski, WIMP dark matter candidates and searches—current status and future prospects, Rep. Prog. Phys. 81, 066201 (2018).
  4. A. Arbey and F. Mahmoudi, Dark matter and the early Universe: A review, Prog. Part. Nucl. Phys. 119, 103865 (2021).
  5. M. Cirelli, A. Strumia, and J. Zupan, Dark matter, arXiv:2406.01705.
  6. N. Bozorgnia, J. Bramante, J. M. Cline, D. Curtin, D. McKeen, D. E. Morrissey, A. Ritz, S. Viel, A. C. Vincent, and Y. Zhang, Dark matter candidates and searches, Can. J. Phys. 103, 671 (2025).
  7. A. Riotto, Theories of baryogenesis, in Proceedings, Summer School in High-energy physics and cosmology: Trieste, Italy, 1998 (1998), pp. 326–436, arXiv:hep-ph/9807454.
  8. J. M. Cline, Baryogenesis, in Les Houches Summer School—Session 86: Particle Physics and Cosmology: The Fabric of Spacetime (2006), 9, arXiv:hep-ph/0609145.
  9. S. Davidson, E. Nardi, and Y. Nir, Leptogenesis, Phys. Rep. 466, 105 (2008).
  10. L. Canetti, M. Drewes, and M. Shaposhnikov, Matter and antimatter in the universe, New J. Phys. 14, 095012 (2012).
  11. D. E. Morrissey and M. J. Ramsey-Musolf, Electroweak baryogenesis, New J. Phys. 14, 125003 (2012).
  12. G. Elor et al., New ideas in baryogenesis: A Snowmass White Paper, in Snowmass 2021 (2022), 3, 2022, arXiv:2203.05010.
  13. J. L. Barrow et al., Theories and experiments for testable baryogenesis mechanisms: A Snowmass White Paper, arXiv:2203.07059.
  14. N. Aghanim et al. (Planck Collaboration), Planck 2018 results. VI. Cosmological parameters, Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
  15. T. Louis et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR6 power spectra, likelihoods and ΛCDM parameters, J. Cosmol. Astropart. Phys. 11 (2025) 062.
  16. S. Dodelson and L. M. Widrow, Sterile-neutrinos as dark matter, Phys. Rev. Lett. 72, 17 (1994).
  17. J. McDonald, Gauge singlet scalars as cold dark matter, Phys. Rev. D 50, 3637 (1994).
  18. L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, Freeze-in production of FIMP dark matter, J. High Energy Phys. 03 (2010) 080.
  19. Daniel J. H. Chung, E. W. Kolb, and A. Riotto, Production of massive particles during reheating, Phys. Rev. D 60, 063504 (1999).
  20. G. F. Giudice, E. W. Kolb, and A. Riotto, Largest temperature of the radiation era and its cosmological implications, Phys. Rev. D 64, 023508 (2001).
  21. F. Elahi, C. Kolda, and J. Unwin, UltraViolet freeze-in, J. High Energy Phys. 03 (2015) 048.
  22. A. D. Sakharov, Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe, Pis’ma Zh. Eksp. Teor. Fiz. 5, 32 (1967).
  23. M. Fukugita and T. Yanagida, Baryogenesis without grand unification, Phys. Lett. B 174, 45 (1986).
  24. M. A. Luty, Baryogenesis via leptogenesis, Phys. Rev. D 45, 455 (1992).
  25. 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, 89 (2004).
  26. W. Buchmuller, R. D. Peccei, and T. Yanagida, Leptogenesis as the origin of matter, Annu. Rev. Nucl. Part. Sci. 55, 311 (2005).
  27. M.-C. Chen, TASI 2006 lectures on leptogenesis, in Theoretical Advanced Study Institute in Elementary Particle Physics: Exploring New Frontiers Using Colliders and Neutrinos (2007), 3, pp. 123–176, arXiv:hep-ph/0703087.
  28. C. S. Fong, E. Nardi, and A. Riotto, Leptogenesis in the universe, Adv. High Energy Phys. 2012, 158303 (2012).
  29. A. Pilaftsis, CP violation and baryogenesis due to heavy Majorana neutrinos, Phys. Rev. D 56, 5431 (1997).
  30. A. Pilaftsis and T. E. J. Underwood, Resonant leptogenesis, Nucl. Phys. B692, 303 (2004).
  31. L. Bento and Z. Berezhiani, Leptogenesis via collisions: The lepton number leaking to the hidden sector, Phys. Rev. Lett. 87, 231304 (2001).
  32. 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).
  33. S. Nussinov, Technocosmology: Could a technibaryon excess provide a ‘natural’ missing mass candidate?, Phys. Lett. 165B, 55 (1985).
  34. D. B. Kaplan, A Single explanation for both the baryon and dark matter densities, Phys. Rev. Lett. 68, 741 (1992).
  35. D. E. Kaplan, M. A. Luty, and K. M. Zurek, Asymmetric dark matter, Phys. Rev. D 79, 115016 (2009).
  36. K. Petraki and R. R. Volkas, Review of asymmetric dark matter, Int. J. Mod. Phys. A 28, 1330028 (2013).
  37. K. M. Zurek, Asymmetric dark matter: Theories, signatures, and constraints, Phys. Rep. 537, 91 (2014).
  38. H. Davoudiasl, D. E. Morrissey, K. Sigurdson, and S. Tulin, Hylogenesis: A unified origin for baryonic visible matter and antibaryonic dark matter, Phys. Rev. Lett. 105, 211304 (2010).
  39. H. Davoudiasl and R. N. Mohapatra, On relating the genesis of cosmic baryons and dark matter, New J. Phys. 14, 095011 (2012).
  40. A. Falkowski, J. T. Ruderman, and T. Volansky, Asymmetric dark matter from leptogenesis, J. High Energy Phys. 05 (2011) 106.
  41. N. F. Bell, K. Petraki, I. M. Shoemaker, and R. R. Volkas, Pangenesis in a baryon-symmetric universe: Dark and visible matter via the Affleck-Dine mechanism, Phys. Rev. D 84, 123505 (2011).
  42. C. Cheung and K. M. Zurek, Affleck-Dine cogenesis, Phys. Rev. D 84, 035007 (2011).
  43. J. March-Russell and M. McCullough, Asymmetric dark matter via spontaneous co-genesis, J. Cosmol. Astropart. Phys. 03 (2012) 019.
  44. B. Barman, D. Borah, and R. Roshan, Nonthermal leptogenesis and UV freeze-in of dark matter: Impact of inflationary reheating, Phys. Rev. D 104, 035022 (2021).
  45. D. Bose, R. Pramanick, and T. S. Ray, Cogenesis of visible and dark matter in a scotogenic model, arXiv:2409.06541.
  46. J. Shelton and K. M. Zurek, Darkogenesis: A baryon asymmetry from the dark matter sector, Phys. Rev. D 82, 123512 (2010).
  47. N. Haba and S. Matsumoto, Baryogenesis from dark sector, Prog. Theor. Phys. 125, 1311 (2011).
  48. M. R. Buckley and L. Randall, Xogenesis, J. High Energy Phys. 09 (2011) 009.
  49. M. Blennow, B. Dasgupta, E. Fernandez-Martinez, and N. Rius, Aidnogenesis via leptogenesis and dark sphalerons, J. High Energy Phys. 03 (2011) 014.
  50. E. Hall, T. Konstandin, R. McGehee, H. Murayama, and G. Servant, Baryogenesis from a dark first-order phase transition, J. High Energy Phys. 04 (2020) 042.
  51. E. Hall, R. McGehee, H. Murayama, and B. Suter, Asymmetric dark matter may not be light, Phys. Rev. D 106, 075008 (2022).
  52. A. Datta, R. Roshan, and A. Sil, Imprint of the Seesaw mechanism on feebly interacting dark matter and the baryon asymmetry, Phys. Rev. Lett. 127, 231801 (2021).
  53. S. Bhattacharya, A. Sil, R. Roshan, and D. Vatsyayan, Symmetry origin of baryon asymmetry, dark matter, and neutrino mass, Phys. Rev. D 106, 075005 (2022).
  54. Y. Cui, L. Randall, and B. Shuve, A WIMPy baryogenesis miracle, J. High Energy Phys. 04 (2012) 075.
  55. Y. Cui and R. Sundrum, Baryogenesis for weakly interacting massive particles, Phys. Rev. D 87, 116013 (2013).
  56. J. McDonald, Baryomorphosis: Relating the baryon asymmetry to the ‘WIMP Miracle’, Phys. Rev. D 83, 083509 (2011).
  57. S. Davidson and M. Elmer, Similar dark matter and baryon abundances with TeV-scale leptogenesis, J. High Energy Phys. 10 (2012) 148.
  58. Y. Cui, A review of WIMP baryogenesis mechanisms, Mod. Phys. Lett. A 30, 1530028 (2015).
  59. X. Chu, Y. Cui, J. Pradler, and M. Shamma, Dark freeze-out cogenesis, J. High Energy Phys. 03 (2022) 031.
  60. D. Mahanta and D. Borah, WIMPy leptogenesis in non-standard cosmologies, J. Cosmol. Astropart. Phys. 03 (2023) 049.
  61. J. Heisig, Conversion-driven leptogenesis: A testable theory of dark matter and baryogenesis at the electroweak scale, Phys. Rev. Lett. 133, 191803 (2024).
  62. Y. Cui and M. Shamma, WIMP cogenesis for asymmetric dark matter and the baryon asymmetry, J. High Energy Phys. 12 (2020) 046.
  63. M. Pospelov, A. Ritz, and M. B. Voloshin, Secluded WIMP dark matter, Phys. Lett. B 662, 53 (2008).
  64. D. Toussaint, S. B. Treiman, F. Wilczek, and A. Zee, Matter—antimatter accounting, thermodynamics, and black hole radiation, Phys. Rev. D 19, 1036 (1979).
  65. S. Weinberg, Cosmological production of baryons, Phys. Rev. Lett. 42, 850 (1979).
  66. D. V. Nanopoulos and S. Weinberg, Mechanisms for cosmological baryon production, Phys. Rev. D 20, 2484 (1979).
  67. E. W. Kolb and S. Wolfram, Baryon number generation in the early universe, Nucl. Phys. B172, 224 (1980); B195, 542(E) (1982).
  68. S. M. Barr, Comments on unitarity and the possible origins of the baryon asymmetry of the universe, Phys. Rev. D 19, 3803 (1979).
  69. A. Hook, Unitarity constraints on asymmetric freeze-in, Phys. Rev. D 84, 055003 (2011).
  70. J. Unwin, Towards cogenesis via asymmetric freeze-in: The χ who came-in from the cold, J. High Energy Phys. 10 (2014) 190.
  71. K. Sigurdson, Hidden hot dark matter as cold dark matter, arXiv:0912.2346.
  72. S. Das and K. Sigurdson, Cosmological limits on hidden sector dark matter, Phys. Rev. D 85, 063510 (2012).
  73. M. Blennow, E. Fernandez-Martinez, O. Mena, J. Redondo, and P. Serra, Asymmetric dark matter and dark radiation, J. Cosmol. Astropart. Phys. 07 (2012) 022.
  74. P. N. Bhattiprolu, R. McGehee, and A. Pierce, Dark sink enhances the direct detection of freeze-in dark matter, Phys. Rev. D 110, L031702 (2024).
  75. P. N. Bhattiprolu, R. McGehee, E. Petrosky, and A. Pierce, Sub-MeV dark sink dark matter, Phys. Rev. D 111, 035027 (2025).
  76. V. Domcke, K. Kamada, K. Mukaida, K. Schmitz, and M. Yamada, Wash-in leptogenesis, Phys. Rev. Lett. 126, 201802 (2021).
  77. V. Domcke, K. Kamada, K. Mukaida, K. Schmitz, and M. Yamada, Wash-in leptogenesis after axion inflation, J. High Energy Phys. 01 (2023) 053.
  78. M. A. Mojahed, K. Schmitz, and D. Wilken, A lower bound on the right-handed neutrino mass from wash-in leptogenesis, Phys. Lett. B 871, 139997 (2025).
  79. I. Baldes, N. F. Bell, A. J. Millar, and R. R. Volkas, Asymmetric dark matter and CP violating scatterings in a UV complete model, J. Cosmol. Astropart. Phys. 10 (2015) 048.
  80. A. Goudelis, P. Papachristou, and V. C. Spanos, Mechanism for baryogenesis via feebly interacting massive particles, Phys. Rev. D 105, 043521 (2022).
  81. A. Goudelis, D. Karamitros, P. Papachristou, and V. C. Spanos, Ultraviolet freeze-in baryogenesis, Phys. Rev. D 106, 023515 (2022).
  82. T. Blazek, P. Matak, J. Ramaj, and M. Sabova, Minimal effective theory for leptogenesis, dark matter, and neutrino masses, Eur. Phys. J. C 85, 801 (2025).
  83. B. Shuve and D. Tucker-Smith, Baryogenesis and dark matter from freeze-in, Phys. Rev. D 101, 115023 (2020).
  84. I. Flood, R. Porto, J. Schlesinger, B. Shuve, and M. Thum, Hidden-sector neutrinos and freeze-in leptogenesis, Phys. Rev. D 105, 095025 (2022).
  85. J. Berman, B. Shuve, and D. Tucker-Smith, Freeze-in leptogenesis via dark-matter oscillations, Phys. Rev. D 105, 095027 (2022).
  86. E. K. Akhmedov, V. A. Rubakov, and A. Y. Smirnov, Baryogenesis via neutrino oscillations, Phys. Rev. Lett. 81, 1359 (1998).
  87. I. Baldes, N. F. Bell, K. Petraki, and R. R. Volkas, Particle-antiparticle asymmetries from annihilations, Phys. Rev. Lett. 113, 181601 (2014).
  88. I. Baldes, N. F. Bell, A. Millar, K. Petraki, and R. R. Volkas, The role of CP violating scatterings in baryogenesis—case study of the neutron portal, J. Cosmol. Astropart. Phys. 11 (2014) 041.
  89. T. Banks and N. Seiberg, Symmetries and strings in field theory and gravity, Phys. Rev. D 83, 084019 (2011).
  90. A. G. Adame et al. (DESI Collaboration), DESI 2024 VI: Cosmological constraints from the measurements of baryon acoustic oscillations, J. Cosmol. Astropart. Phys. 02 (2025) 021.
  91. S. Y. Khlebnikov and M. E. Shaposhnikov, The statistical theory of anomalous fermion number nonconservation, Nucl. Phys. B308, 885 (1988).
  92. M. D’Onofrio, K. Rummukainen, and A. Tranberg, Sphaleron rate in the minimal standard model, Phys. Rev. Lett. 113, 141602 (2014).
  93. T. Bringmann, S. Heeba, F. Kahlhoefer, and K. Vangsnes, Freezing-in a hot bath: resonances, medium effects and phase transitions, J. High Energy Phys. 02 (2022) 110.
  94. P. Gondolo and G. Gelmini, Cosmic abundances of stable particles: Improved analysis, Nucl. Phys. B360, 145 (1991).
  95. J. Edsjo and P. Gondolo, Neutralino relic density including coannihilations, Phys. Rev. D 56, 1879 (1997).
  96. R. E. Cutkosky, Singularities and discontinuities of Feynman amplitudes, J. Math. Phys. (N.Y.) 1, 429 (1960).
  97. M. L. Graesser, I. M. Shoemaker, and L. Vecchi, Asymmetric WIMP dark matter, J. High Energy Phys. 10 (2011) 110.
  98. H. Iminniyaz, M. Drees, and X. Chen, Relic abundance of asymmetric dark matter, J. Cosmol. Astropart. Phys. 07 (2011) 003.
  99. P. Adshead, Y. Cui, and J. Shelton, Chilly dark sectors and asymmetric reheating, J. High Energy Phys. 06 (2016) 016.
  100. E. Hardy and J. Unwin, Symmetric and asymmetric reheating, J. High Energy Phys. 09 (2017) 113.
  101. P. Adshead, P. Ralegankar, and J. Shelton, Reheating in two-sector cosmology, J. High Energy Phys. 08 (2019) 151.
  102. L. Kofman, A. D. Linde, and A. A. Starobinsky, Reheating after inflation, Phys. Rev. Lett. 73, 3195 (1994).
  103. L. Kofman, A. D. Linde, and A. A. Starobinsky, Towards the theory of reheating after inflation, Phys. Rev. D 56, 3258 (1997).
  104. G. N. Felder, L. Kofman, and A. D. Linde, Instant preheating, Phys. Rev. D 59, 123523 (1999).
  105. J. Martin, C. Ringeval, and V. Vennin, Cosmic Inflation at the crossroads, J. Cosmol. Astropart. Phys. 07 (2024) 087.
  106. A. Albrecht, P. J. Steinhardt, M. S. Turner, and F. Wilczek, Reheating an inflationary universe, Phys. Rev. Lett. 48, 1437 (1982).
  107. A. D. Dolgov and A. D. Linde, Baryon asymmetry in inflationary universe, Phys. Lett. B 116, 329 (1982).
  108. L. F. Abbott, E. Farhi, and M. B. Wise, Particle production in the new inflationary cosmology, Phys. Lett. 117B, 29 (1982).
  109. J. McDonald, Warm dark matter via ultra-violet freeze-in: Reheating temperature and non-thermal distribution for fermionic Higgs portal dark matter, J. Cosmol. Astropart. Phys. 08 (2016) 035.
  110. S.-L. Chen and Z. Kang, On ultraviolet freeze-in dark matter during reheating, J. Cosmol. Astropart. Phys. 05 (2018) 036.
  111. K. Kaneta, Y. Mambrini, and K. A. Olive, Radiative production of nonthermal dark matter, Phys. Rev. D 99, 063508 (2019).
  112. Marcos A. G. Garcia, K. Kaneta, Y. Mambrini, and K. A. Olive, Reheating and post-inflationary production of dark matter, Phys. Rev. D 101, 123507 (2020).
  113. J. Ren and H.-J. He, Probing gravitational dark matter, J. Cosmol. Astropart. Phys. 03 (2015) 052.
  114. M. Garny, M. C. Sandora, and M. S. Sloth, Planckian interacting massive particles as dark matter, Phys. Rev. Lett. 116, 101302 (2016).
  115. Y. Ema, K. Nakayama, and Y. Tang, Production of purely gravitational dark matter, J. High Energy Phys. 09 (2018) 135.
  116. Y. Mambrini and K. A. Olive, Gravitational production of dark matter during reheating, Phys. Rev. D 103, 115009 (2021).
  117. H. E. Haber and H. A. Weldon, Thermodynamics of an ultrarelativistic Bose gas, Phys. Rev. Lett. 46, 1497 (1981).
  118. H. E. Haber and H. A. Weldon, Finite temperature symmetry breaking as Bose-Einstein condensation, Phys. Rev. D 25, 502 (1982).
  119. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990), Vol. 69.
  120. V. A. Rubakov and D. S. Gorbunov, Introduction to the Theory of the Early Universe: Hot Big Bang Theory (World Scientific, Singapore, 2017).
  121. 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).
  122. S. Davidson and A. Ibarra, A lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett. B 535, 25 (2002).
  123. G. Mangano, G. Miele, S. Pastor, T. Pinto, O. Pisanti, and P. D. Serpico, Relic neutrino decoupling including flavor oscillations, Nucl. Phys. B729, 221 (2005).
  124. M. Cielo, M. Escudero, G. Mangano, and O. Pisanti, Neff in the standard model at NLO is 3.043, Phys. Rev. D 108, L121301 (2023).
  125. K. N. Abazajian et al. (CMB-S4 Collaboration), CMB-S4 science book, first edition, arXiv:1610.02743.
  126. J. L. Feng, H. Tu, and H.-B. Yu, Thermal relics in hidden sectors, J. Cosmol. Astropart. Phys. 10 (2008) 043.
  127. X. Chu, T. Hambye, and M. H. Tytgat, The four basic ways of creating dark matter through a portal, J. Cosmol. Astropart. Phys. 05 (2012) 034.
  128. S. Tulin and H.-B. Yu, Dark matter self-interactions and small scale structure, Phys. Rep. 730, 1 (2018).
  129. Z. Maki, M. Nakagawa, and S. Sakata, Remarks on the unified model of elementary particles, Prog. Theor. Phys. 28, 870 (1962).
  130. B. Pontecorvo, Neutrino experiments and the problem of conservation of leptonic charge, Sov. Phys. JETP 26, 984 (1968), https://jetp.ras.ru/cgi-bin/dn/e_026_05_0984.pdf.
  131. K. Abe et al. (Hyper-Kamiokande Collaboration), Hyper-Kamiokande Design Report, arXiv:1805.04163.
  132. B. Abi et al. (DUNE Collaboration), Deep Underground Neutrino Experiment (DUNE), Far detector technical design report, Volume II: DUNE physics, arXiv:2002.03005.
  133. T. Hambye, Y. Lin, A. Notari, M. Papucci, and A. Strumia, Constraints on neutrino masses from leptogenesis models, Nucl. Phys. B695, 169 (2004).
  134. J. Lesgourgues and S. Pastor, Massive neutrinos and cosmology, Phys. Rep. 429, 307 (2006).
  135. J. Schechter and J. W. F. Valle, Neutrinoless double beta decay in SU(2)×U(1) theories, Phys. Rev. D 25, 2951 (1982).
  136. M. J. Dolinski, A. W. P. Poon, and W. Rodejohann, Neutrinoless double-beta decay: Status and prospects, Annu. Rev. Nucl. Part. Sci. 69, 219 (2019).
  137. M. Agostini, G. Benato, J. A. Detwiler, J. Menéndez, and F. Vissani, Toward the discovery of matter creation with neutrinoless ββ decay, Rev. Mod. Phys. 95, 025002 (2023).
  138. F. Vissani, Do experiments suggest a hierarchy problem?, Phys. Rev. D 57, 7027 (1998).
  139. A. de Gouvea, D. Hernandez, and Tim M. P. Tait, Criteria for natural hierarchies, Phys. Rev. D 89, 115005 (2014).
  140. Y. Cui and Z.-Z. Xianyu, Probing leptogenesis with the cosmological collider, Phys. Rev. Lett. 129, 111301 (2022).
  141. NIST Digital Library of Mathematical Functions, edited by F. W. J. Olver, A. B. Olde Daalhuis, D. W. Lozier, B. I. Schneider, R. F. Boisvert, C. W. Clark, B. R. Miller, B. V. Saunders, H. S. Cohl, and M. A. McClain, https://dlmf.nist.gov/ (Release 1.2.2 of 2024-09-15).

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