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Neutrinos from primordial black holes in theories with extra dimensions

Luis A. Anchordoqui1,2,3, Francis Halzen4, and Dieter Lüst5,6

Phys. Rev. D 112, 083034 – Published 16 October, 2025

DOI: https://doi.org/10.1103/5kt2-5pvj

Abstract

The quantum gravity scale within the dark dimension scenario (M*∼109  GeV) roughly coincides with the energy scale of the KM3-230213A neutrino (Eν∼108  GeV). We propose an interpretation for this intriguing coincidence in terms of Hawking evaporation of five-dimensional (5D) primordial black holes (PBHs). 5D PBHs are bigger, colder, and longer-lived than 4D PBHs of the same mass. For brane observers, PBHs residing in the higher-dimensional bulk decay essentially invisibly (only through gravitationally and sterile coupled modes). As a consequence, constraints on the density of PBHs relative to that of dark matter from null searches of Hawking evaporation can be avoided. We demonstrate that Hawking evaporation of 5D bulk PBHs can explain the KM3-230213A neutrino, evade constraints from upper limits on the gamma-ray flux, and remain consistent with IceCube upper limits on the partial decay width of superheavy dark matter particles into neutrinos.

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References (66)

  1. N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429, 263 (1998).
  2. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436, 257 (1998).
  3. M. Montero, C. Vafa, and I. Valenzuela, The dark dimension and the Swampland, J. High Energy Phys. 02 (2023) 022.
  4. D. Lüst, E. Palti, and C. Vafa, AdS and the Swampland, Phys. Lett. B 797, 134867 (2019).
  5. G. Dvali, Black holes and large N species solution to the hierarchy problem, Fortschr. Phys. 58, 528 (2010).
  6. G. Dvali and M. Redi, Black hole bound on the number of species and quantum gravity at LHC, Phys. Rev. D 77, 045027 (2008).
  7. D. van de Heisteeg, C. Vafa, M. Wiesner, and D. H. Wu, Moduli-dependent species scale, Beijing J. Pure Appl. Math. 1, 1 (2024).
  8. N. Cribiori, D. Lüst, and G. Staudt, Black hole entropy and moduli-dependent species scale, Phys. Lett. B 844, 138113 (2023).
  9. D. van de Heisteeg, C. Vafa, M. Wiesner, and D. H. Wu, Species scale in diverse dimensions, J. High Energy Phys. 05 (2024) 112.
  10. S. Aiello et al. (KM3NeT Collaboration), Observation of an ultra-high-energy cosmic neutrino with KM3NeT, Nature (London) 638, 376 (2025); 640, E3 (2025).
  11. C. Vafa, The string landscape and the Swampland, arXiv:hep-th/0509212.
  12. R. Abbasi et al. (IceCube Collaboration), A search for extremely-high-energy neutrinos and first constraints on the ultra-high-energy cosmic-ray proton fraction with IceCube, Phys. Rev. Lett. 135, 031001 (2025).
  13. A. Abdul Halim et al. (Pierre Auger Collaboration), Latest results from the searches for ultra-high-energy photons and neutrinos at the Pierre Auger Observatory, Proc. Sci., ICRC2023 (2023) 1488.
  14. S. W. Li, P. Machado, D. Naredo-Tuero, and T. Schwemberger, Clash of the Titans: Ultra-high energy KM3NeT event versus IceCube data, arXiv:2502.04508.
  15. O. Adriani et al. (KM3NeT Collaboration), The ultra-high-energy event KM3-230213A within the global neutrino landscape, Phys. Rev. X 15, 031016 (2025).
  16. A. Neronov, F. Oikonomou, and D. Semikoz, KM3-230213A: An ultra-high energy neutrino from a year-long astrophysical transient, arXiv:2502.12986.
  17. K. Fang, F. Halzen, and D. Hooper, Cascaded gamma-ray emission associated with the KM3NeT ultrahigh-energy event KM3-230213A, Astrophys. J. Lett. 982, L16 (2025).
  18. M. Crnogorčević, C. Blanco, and T. Linden, Looking for the γ-ray cascades of the KM3-230213A neutrino source, arXiv:2503.16606.
  19. S. W. Hawking, Black hole explosions, Nature (London) 248, 30 (1974).
  20. S. W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43, 199 (1975); 46, 206(E) (1976).
  21. Q. f. Wu and X. J. Xu, High-energy and ultra-high-energy neutrinos from primordial black holes, J. Cosmol. Astropart. Phys. 02 (2025) 059.
  22. A. P. Klipfel and D. I. Kaiser, Ultra-high-energy neutrinos from primordial black holes, Phys. Rev. Lett. 135, 121003 (2025).
  23. S. W. Hawking, Black holes and thermodynamics, Phys. Rev. D 13, 191 (1976).
  24. F. Halzen, E. Zas, J. H. MacGibbon, and T. C. Weekes, Gamma-rays and energetic particles from primordial black holes, Nature (London) 353, 807 (1991).
  25. B. Carr and F. Kuhnel, Primordial black holes as dark matter: Recent developments, Annu. Rev. Nucl. Part. Sci. 70, 355 (2020).
  26. A. M. Green and B. J. Kavanagh, Primordial black holes as a dark matter candidate, J. Phys. G 48, 043001 (2021).
  27. P. Villanueva-Domingo, O. Mena, and S. Palomares-Ruiz, A brief review on primordial black holes as dark matter, Front. Astron. Space Sci. 8, 87 (2021).
  28. A. Boccia and F. Iocco, A strike of luck: could the KM3-230213A event be caused by an evaporating primordial black hole?, Phys. Rev. D 112, 063045 (2025).
  29. G. Dvali, M. Zantedeschi, and S. Zell, Transitioning to memory burden: Detectable small primordial black holes as dark matter, arXiv:2503.21740.
  30. G. Dvali, A microscopic model of holography: Survival by the burden of memory, arXiv:1810.02336.
  31. G. Dvali, L. Eisemann, M. Michel, and S. Zell, Universe’s primordial quantum memories, J. Cosmol. Astropart. Phys. 03 (2019) 010.
  32. G. Dvali, L. Eisemann, M. Michel, and S. Zell, Black hole metamorphosis and stabilization by memory burden, Phys. Rev. D 102, 103523 (2020).
  33. I. Basile, N. Cribiori, D. Lüst, and C. Montella, Minimal black holes and species thermodynamics, J. High Energy Phys. 06 (2024) 127.
  34. A. Alexandre, G. Dvali, and E. Koutsangelas, New mass window for primordial black holes as dark matter from the memory burden effect, Phys. Rev. D 110, 036004 (2024).
  35. V. Thoss, A. Burkert, and K. Kohri, Breakdown of Hawking evaporation opens new mass window for primordial black holes as dark matter candidate, Mon. Not. R. Astron. Soc. 532, 451 (2024).
  36. M. Zantedeschi and L. Visinelli, Ultralight black holes as sources of high-energy particles, Phys. Dark Universe 49, 102034 (2025).
  37. G. Montefalcone, D. Hooper, K. Freese, C. Kelso, F. Kuhnel, and P. Sandick, Does memory burden open a new mass window for primordial black holes as dark matter?, arXiv:2503.21005.
  38. M. Chianese, High-energy gamma-ray emission from memory-burdened primordial black holes, Phys. Rev. D 112, 023043 (2025).
  39. K. R. Dienes, E. Dudas, and T. Gherghetta, Neutrino oscillations without neutrino masses or heavy mass scales: A Higher dimensional seesaw mechanism, Nucl. Phys. B557, 25 (1999).
  40. N. Arkani-Hamed, S. Dimopoulos, G. R. Dvali, and J. March-Russell, Neutrino masses from large extra dimensions, Phys. Rev. D 65, 024032 (2001).
  41. G. R. Dvali and A. Y. Smirnov, Probing large extra dimensions with neutrinos, Nucl. Phys. B563, 63 (1999).
  42. A. Diaz, C. A. Argüelles, G. H. Collin, J. M. Conrad, and M. H. Shaevitz, Where are we with light sterile neutrinos?, Phys. Rep. 884, 1 (2020).
  43. H. Pas, S. Pakvasa, and T. J. Weiler, Sterile-active neutrino oscillations and shortcuts in the extra dimension, Phys. Rev. D 72, 095017 (2005).
  44. R. Abbasi et al. (IceCube Collaboration) ∥ and IceCube Collaboration), Methods and stability tests associated with the sterile neutrino search using improved high-energy νμ event reconstruction in IceCube, Phys. Rev. D 110, 092009 (2024).
  45. S. Hagstotz, P. F. de Salas, S. Gariazzo, M. Gerbino, M. Lattanzi, S. Vagnozzi, K. Freese, and S. Pastor, Bounds on light sterile neutrino mass and mixing from cosmology and laboratory searches, Phys. Rev. D 104, 123524 (2021).
  46. P. A. N. Machado, H. Nunokawa, and R. Zukanovich Funchal, Testing for large extra dimensions with neutrino oscillations, Phys. Rev. D 84, 013003 (2011).
  47. D. V. Forero, C. Giunti, C. A. Ternes, and O. Tyagi, Large extra dimensions and neutrino experiments, Phys. Rev. D 106, 035027 (2022).
  48. M. Carena, Y. Y. Li, C. S. Machado, P. A. N. Machado, and C. E. M. Wagner, Neutrinos in large extra dimensions and short-baseline νe appearance, Phys. Rev. D 96, 095014 (2017).
  49. L. A. Anchordoqui, I. Antoniadis, and J. Cunat, The dark dimension and the standard model landscape, Phys. Rev. D 109, 016028 (2024).
  50. L. A. Anchordoqui, I. Antoniadis, and D. Lüst, Dark dimension, the swampland, and the dark matter fraction composed of primordial black holes, Phys. Rev. D 106, 086001 (2022).
  51. L. A. Anchordoqui, I. Antoniadis, and D. Lüst, The dark universe: Primordial black hole ⇋ dark graviton gas connection, Phys. Lett. B 840, 137844 (2023).
  52. L. A. Anchordoqui, I. Antoniadis, and D. Lüst, The dark dimension, the swampland, and the dark matter fraction composed of primordial near-extremal black holes, Phys. Rev. D 109, 095008 (2024).
  53. L. A. Anchordoqui, I. Antoniadis, and D. Lüst, More on black holes perceiving the dark dimension, Phys. Rev. D 110, 015004 (2024).
  54. F. R. Tangherlini, Schwarzschild field in n dimensions and the dimensionality of space problem, Nuovo Cimento 27, 636 (1963).
  55. L. A. Anchordoqui, J. L. Feng, H. Goldberg, and A. D. Shapere, Black holes from cosmic rays: Probes of extra dimensions and new limits on TeV scale gravity, Phys. Rev. D 65, 124027 (2002).
  56. P. C. Argyres, S. Dimopoulos, and J. March-Russell, Black holes and submillimeter dimensions, Phys. Lett. B 441, 96 (1998).
  57. A. Flachi and T. Tanaka, Escape of black holes from the brane, Phys. Rev. Lett. 95, 161302 (2005).
  58. A. Flachi, O. Pujolas, M. Sasaki, and T. Tanaka, Black holes escaping from domain walls, Phys. Rev. D 73, 125017 (2006).
  59. J. H. Schwarz, Comments concerning a hypothetical mesoscopic dark dimension, Int. J. Mod. Phys. A 39, 2447010 (2024).
  60. M. G. Aartsen et al. (IceCube Collaboration), Search for neutrinos from decaying dark matter with IceCube, Eur. Phys. J. C 78, 831 (2018).
  61. C. Guépin, R. Aloisio, L. A. Anchordoqui, A. Cummings, J. F. Krizmanic, A. V. Olinto, M. H. Reno, and T. M. Venters, Indirect dark matter searches at ultrahigh energy neutrino detectors, Phys. Rev. D 104, 083002 (2021).
  62. M. G. Aartsen et al. (IceCube Collaboration), A combined maximum-likelihood analysis of the high-energy astrophysical neutrino flux measured with IceCube, Astrophys. J. 809, 98 (2015).
  63. M. Ackermann et al. (Fermi-LAT Collaboration), The spectrum of isotropic diffuse gamma-ray emission between 100 MeV and 820 GeV, Astrophys. J. 799, 86 (2015).
  64. K. Murase, D. Guetta, and M. Ahlers, Hidden cosmic-ray accelerators as an origin of TeV-PeV cosmic neutrinos, Phys. Rev. Lett. 116, 071101 (2016).
  65. K. Fang, J. S. Gallagher, and F. Halzen, The TeV diffuse cosmic neutrino spectrum and the nature of astrophysical neutrino sources, Astrophys. J. 933, 190 (2022).
  66. K. Benakli and A. Y. Smirnov, Neutrino-modulino mixing, Phys. Rev. Lett. 79, 4314 (1997).

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