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Geomagnetic Constraints on Millicharged Dark Matter
Phys. Rev. Lett. 136, 041001 – Published 27 January, 2026
DOI: https://doi.org/10.1103/8xqd-dbrz
Abstract
Millicharged particles are well-motivated dark matter candidates arising in many extensions of the standard model. We show that, despite their tiny coupling to photons, millicharged dark matter (mDM) in the Earth’s geomagnetic field can generate a quasistatic, monochromatic magnetic signal with angular frequency twice the mDM mass. Using null results from the SuperMAG and SNIPE Hunt collaborations, we constrain the effective charge of bosonic mDM in the mass range . The resulting upper bounds exceed stellar cooling constraints by over 13 orders of magnitude, demonstrating the power of this method.
Physics Subject Headings (PhySH)
synopsis
Earth’s Magnetic Field as Dark-Matter Sensor
Dark matter having a small electric charge would presumably generate a magnetic-field variation on Earth’s surface, but observations find no such signal.
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References (94)
- S. Dimopoulos, D. Eichler, R. Esmailzadeh, and G. D. Starkman, Phys. Rev. D 41, 2388 (1990).
- A. De Rujula, S. L. Glashow, and U. Sarid, Nucl. Phys. B333, 173 (1990).
- D. Feldman, Z. Liu, and P. Nath, Phys. Rev. D 75, 115001 (2007).
- S. D. McDermott, H.-B. Yu, and K. M. Zurek, Phys. Rev. D 83, 063509 (2011).
- J. M. Cline, Z. Liu, and W. Xue, Phys. Rev. D 85, 101302 (2012).
- B. Holdom, Phys. Lett. 166B, 196 (1986).
- H. Goldberg and L. J. Hall, Phys. Lett. B 174, 151 (1986).
- E. Izaguirre and I. Yavin, Phys. Rev. D 92, 035014 (2015).
- K. Cheung and T.-C. Yuan, J. High Energy Phys. 03 (2007) 120.
- W.-Z. Feng, Z.-H. Zhang, and K.-Y. Zhang, J. Cosmol. Astropart. Phys. 05 (2024) 112.
- X.-G. Wen and E. Witten, Nucl. Phys. B261, 651 (1985).
- G. Shiu, P. Soler, and F. Ye, Phys. Rev. Lett. 110, 241304 (2013).
- W.-Z. Feng, G. Shiu, P. Soler, and F. Ye, Phys. Rev. Lett. 113, 061802 (2014).
- C. P. Burgess, J. P. Conlon, L.-Y. Hung, C. H. Kom, A. Maharana, and F. Quevedo, J. High Energy Phys. 07 (2008) 073.
- M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, J. High Energy Phys. 11 (2009) 027.
- M. Cicoli, M. Goodsell, J. Jaeckel, and A. Ringwald, J. High Energy Phys. 07 (2011) 114.
- J. C. Pati and A. Salam, Phys. Rev. D 8, 1240 (1973).
- H. Georgi, AIP Conf. Proc. 23, 575 (1975).
- J. Preskill, Annu. Rev. Nucl. Part. Sci. 34, 461 (1984).
- L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, J. High Energy Phys. 03 (2010) 080.
- C. Dvorkin, T. Lin, and K. Schutz, Phys. Rev. D 99, 115009 (2019); 105, 119901(E) (2022).
- P. N. Bhattiprolu, R. McGehee, and A. Pierce, Phys. Rev. D 110, L031702 (2024).
- P. N. Bhattiprolu, R. McGehee, E. Petrosky, and A. Pierce, Phys. Rev. D 111, 035027 (2025).
- R. Essig, J. Mardon, and T. Volansky, Phys. Rev. D 85, 076007 (2012).
- X. Chu, T. Hambye, and M. H. G. Tytgat, J. Cosmol. Astropart. Phys. 05 (2012) 034.
- J. Preskill, M. B. Wise, and F. Wilczek, Phys. Lett. 120B, 127 (1983).
- L. F. Abbott and P. Sikivie, Phys. Lett. 120B, 133 (1983).
- M. Dine and W. Fischler, Phys. Lett. 120B, 137 (1983).
- A. E. Nelson and J. Scholtz, Phys. Rev. D 84, 103501 (2011).
- P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, J. Cosmol. Astropart. Phys. 06 (2012) 013.
- G. Alonso-Álvarez, J. Gehrlein, J. Jaeckel, and S. Schenk, J. Cosmol. Astropart. Phys. 09 (2019) 003.
- J. Jaeckel and S. Schenk, Phys. Rev. D 103, 103523 (2021).
- W. Hu, R. Barkana, and A. Gruzinov, Phys. Rev. Lett. 85, 1158 (2000).
- L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Phys. Rev. D 95, 043541 (2017).
- E. G. M. Ferreira, Astron. Astrophys. Rev. 29, 7 (2021).
- J. B. Muñoz and A. Loeb, Nature (London) 557, 684 (2018).
- A. Berlin, D. Hooper, G. Krnjaic, and S. D. McDermott, Phys. Rev. Lett. 121, 011102 (2018).
- T. R. Slatyer and C.-L. Wu, Phys. Rev. D 98, 023013 (2018).
- E. D. Kovetz, V. Poulin, V. Gluscevic, K. K. Boddy, R. Barkana, and M. Kamionkowski, Phys. Rev. D 98, 103529 (2018).
- H. Liu, N. J. Outmezguine, D. Redigolo, and T. Volansky, Phys. Rev. D 100, 123011 (2019).
- H. Gies, J. Jaeckel, and A. Ringwald, Europhys. Lett. 76, 794 (2006).
- A. Berlin and A. Hook, Phys. Rev. D 102, 035010 (2020).
- A. Romanenko et al., Phys. Rev. Lett. 130, 261801 (2023).
- A. Badertscher, P. Crivelli, W. Fetscher, U. Gendotti, S. Gninenko, V. Postoev, A. Rubbia, V. Samoylenko, and D. Sillou, Phys. Rev. D 75, 032004 (2007).
- M. Gluck, S. Rakshit, and E. Reya, Phys. Rev. D 76, 091701 (2007).
- H. Gies, J. Jaeckel, and A. Ringwald, Phys. Rev. Lett. 97, 140402 (2006).
- M. Ahlers, H. Gies, J. Jaeckel, J. Redondo, and A. Ringwald, Phys. Rev. D 77, 095001 (2008).
- F. Della Valle, E. Milotti, A. Ejlli, G. Messineo, L. Piemontese, G. Zavattini, U. Gastaldi, R. Pengo, and G. Ruoso, Phys. Rev. D 90, 092003 (2014).
- F. Della Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, G. Ruoso, and G. Zavattini, Eur. Phys. J. C 76, 24 (2016).
- J. Jaeckel, Phys. Rev. Lett. 103, 080402 (2009).
- A. Caputo, L. Sberna, M. Frias, D. Blas, P. Pani, L. Shao, and W. Yan, Phys. Rev. D 100, 063515 (2019).
A constraint from photon time delay of pulsars induced by millicharged particle (to be published).
- A. Berlin, R. Harnik, Y.-Y. Li, and B. Xu, arXiv:2404.16094.
- A. Berlin, R. T. D’Agnolo, S. A. R. Ellis, P. Schuster, and N. Toro, Phys. Rev. Lett. 124, 011801 (2020).
- A. Berlin and K. Schutz, Phys. Rev. D 105, 095012 (2022).
- A. Berlin, R. Tito D’Agnolo, S. A. R. Ellis, and J. I. Radkovski, J. High Energy Phys. 08 (2023) 017.
- R. N. Mohapatra and I. Z. Rothstein, Phys. Lett. B 247, 593 (1990).
- J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 09 (2018) 051.
- D. F. G. Fiorillo and E. Vitagliano, Phys. Rev. Lett. 133, 251004 (2024).
- J. Bernstein, M. Ruderman, and G. Feinberg, Phys. Rev. 132, 1227 (1963).
- M. I. Dobroliubov and A. Y. Ignatiev, Phys. Rev. Lett. 65, 679 (1990).
- S. Davidson, B. Campbell, and D. C. Bailey, Phys. Rev. D 43, 2314 (1991).
- S. Davidson, S. Hannestad, and G. Raffelt, J. High Energy Phys. 05 (2000) 003.
- H. Vogel and J. Redondo, J. Cosmol. Astropart. Phys. 02 (2014) 029.
- A. Fung, S. Heeba, Q. Liu, V. Muralidharan, K. Schutz, and A. C. Vincent, Phys. Rev. D 109, 083011 (2024).
- A. Stebbins and G. Krnjaic, J. Cosmol. Astropart. Phys. 12 (2019) 003.
- S. Davidson and M. E. Peskin, Phys. Rev. D 49, 2114 (1994).
- A. Melchiorri, A. Polosa, and A. Strumia, Phys. Lett. B 650, 416 (2007).
- C. Burrage, J. Jaeckel, J. Redondo, and A. Ringwald, J. Cosmol. Astropart. Phys. 11 (2009) 002.
- Z. Bogorad and N. Toro, J. High Energy Phys. 07 (2022) 035.
- J. Jaeckel and A. Ringwald, Annu. Rev. Nucl. Part. Sci. 60, 405 (2010).
- M. A. Fedderke, P. W. Graham, D. F. J. Kimball, and S. Kalia, Phys. Rev. D 104, 075023 (2021).
- M. A. Fedderke, P. W. Graham, D. F. Jackson Kimball, and S. Kalia, Phys. Rev. D 104, 095032 (2021).
- A. Arza, M. A. Fedderke, P. W. Graham, D. F. J. Kimball, and S. Kalia, Phys. Rev. D 105, 095007 (2022).
- M. Friel, J. W. Gjerloev, S. Kalia, and A. Zamora, Phys. Rev. D 110, 115036 (2024).
- I. A. Sulai et al., Phys. Rev. D 108, 096026 (2023).
Recent studies [78, 79] have calculated the transition probability between ultralight dark matter and photons using quantum field theory, consistent with earlier results from classical Maxwell equations. For convenience, we derive the induced electromagnetic signal from the modified classical Maxwell equations.
- A. N. Ioannisian, N. Kazarian, A. J. Millar, and G. G. Raffelt, J. Cosmol. Astropart. Phys. 09 (2017) 005.
- M. Beutter, A. Pargner, T. Schwetz, and E. Todarello, J. Cosmol. Astropart. Phys. 02 (2019) 026.
- https://lib-extopc.kek.jp/preprints/PDF/2000/0032/0032443.pdf.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/8xqd-dbrz for detailed calculations for the conversion of mDM into magnetic signals in the Earth’s geomagnetic field.
- P. Sikivie, N. Sullivan, and D. B. Tanner, Phys. Rev. Lett. 112, 131301 (2014).
- L. Brouwer et al. (DMRadio Collaboration), Phys. Rev. D 106, 103008 (2022).
- P. Arias, A. Arza, B. Döbrich, J. Gamboa, and F. Méndez, Eur. Phys. J. C 75, 310 (2015).
- P. Alken, E. Thébault, C. D. Beggan, H. Amit, J. Aubert, J. Baerenzung, T. Bondar, W. Brown, S. Califf, A. Chambodut et al., Earth, Planets Space 73, 1 (2021).
- G. A. Glatzmaier and P. H. Roberts, Phys. Earth Planet. Inter. 91, 63 (1995).
- G. A. Glatzmaiers and P. H. Roberts, Nature (London) 377, 203 (1995).
- C. G. Constable and S. C. Constable, Satellite magnetic field measurements: Applications in studying the deep earth, in The State of the Planet: Frontiers and Challenges in Geophysics (American Geophysical Union, 2004), pp. 147–159.
- G. Bevilacqua, V. Biancalana, P. Chessa, and Y. Dancheva, Appl. Phys. B 122, 103 (2016).
- G. Oelsner, R. IJsselsteijn, T. Scholtes, A. Krüger, V. Schultze, G. Seyffert, G. Werner, M. Jäger, A. Chwala, and R. Stolz, Phys. Rev. Appl. 17, 024034 (2022).
- G. Chatzidrosos, A. Wickenbrock, L. Bougas, N. Leefer, T. Wu, K. Jensen, Y. Dumeige, and D. Budker, Phys. Rev. Appl. 8, 044019 (2017).
- A. T. Younesi, M. Omar, A. Wickenbrock, D. Budker, and R. Ulbricht, Phys. Rev. Appl. 23, 054019 (2025).
- I. M. Bloch and S. Kalia, J. High Energy Phys. 01 (2024) 178.
Private communications with SNIPE Hunt collaboration.