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  • Open Access

Natural ultralight dark matter: The quadratic twin

Cédric Delaunay1,*, Michael Geller2,†, Zamir Heller-Algazi2,‡, Gilad Perez3,§, and Konstantin Springmann3,∥

  • *Contact author: cedric.delaunay@lapth.cnrs.fr
  • †Contact author: micgeller@tauex.tau.ac.il
  • ‡Contact author: zamir.heller@gmail.com
  • §Contact author: gilad.perez@weizmann.ac.il
  • ∥Contact author: konstantin.springmann@weizmann.ac.il

Phys. Rev. D 113, 035011 – Published 12 February, 2026

DOI: https://doi.org/10.1103/gwq8-j7km

Abstract

Scalar ultralight dark matter (ULDM) is uniquely accessible to tabletop experiments such as clocks and interferometers, and its search has been the focus of a vast experimental effort. However, the scalar ULDM mass is not protected from radiative corrections, and the entirety of the parameter space within reach of experiments suffers from a severe naturalness problem. In this paper, we propose a new twin mechanism that protects the mass of the scalar ULDM. Our scalar ULDM is a pseudo-Nambu-Goldstone boson with quadratic couplings to the standard model (SM) and to a twin copy of the SM, with a mirror Z2 symmetry exchanging each SM particle with its twin. Due to the mirror symmetry, the leading-order mass correction is quadratic in the (tiny) coupling while the linear order is canceled. This opens up vast regions of parameter space for natural quadratically coupled ultralight dark matter, within the sensitivity of existing and future experiments.

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References (68)

  1. J. Preskill, M. B. Wise, and F. Wilczek, Phys. Lett. 120B, 127 (1983).
  2. M. Dine and W. Fischler, Phys. Lett. 120B, 137 (1983).
  3. D. Antypas et al., arXiv:2203.14915.
  4. A. Hees, O. Minazzoli, E. Savalle, Y. V. Stadnik, and P. Wolf, Phys. Rev. D 98, 064051 (2018).
  5. A. Banerjee, G. Perez, M. Safronova, I. Savoray, and A. Shalit, J. High Energy Phys. 10 (2023) 042.
  6. D. Budker, J. Eby, M. Gorghetto, M. Jiang, and G. Perez, J. Cosmol. Astropart. Phys. 12 (2023) 021.
  7. A. Banerjee, I. M. Bloch, Q. Bonnefoy, S. A. R. Ellis, G. Perez, I. Savoray, K. Springmann, and Y. V. Stadnik, arXiv:2502.04455.
  8. Y. G. del Castillo, B. Hammett, and J. Jaeckel, J. Cosmol. Astropart. Phys. 10 (2025) 022.
  9. A. Hook and J. Huang, J. High Energy Phys. 06 (2018) 036.
  10. R. Balkin, J. Serra, K. Springmann, and A. Weiler, J. High Energy Phys. 07 (2020) 221.
  11. R. Balkin, J. Serra, K. Springmann, S. Stelzl, and A. Weiler, Phys. Rev. D 109, 095032 (2024).
  12. R. Balkin, J. Serra, K. Springmann, S. Stelzl, and A. Weiler, J. High Energy Phys. 02 (2025) 141.
  13. A. Gómez-Bañón, K. Bartnick, K. Springmann, and J. A. Pons, Phys. Rev. Lett. 133, 251002 (2024).
  14. M. Kumamoto, J. Huang, C. Drischler, M. Baryakhtar, and S. Reddy, Phys. Rev. D 112, 043008 (2025).
  15. E. Fuchs, F. Kirk, E. Madge, C. Paranjape, E. Peik, G. Perez, W. Ratzinger, and J. Tiedau, Phys. Rev. X 15, 021055 (2025).
  16. C. Delaunay, S. J. Lee, R. Ozeri, G. Perez, W. Ratzinger, and B. Yu, Phys. Rev. D 112, 095030 (2025).
  17. K. Beeks, T. Sikorsky, T. Schumm, J. Thielking, M. V. Okhapkin, and E. Peik, Nat. Rev. Phys. 3, 238 (2021).
  18. A. Caputo, D. Gazit, H.-W. Hammer, J. Kopp, G. Paz, G. Perez, and K. Springmann, Phys. Rev. C 112, L031302 (2025).
  19. C. D. Froggatt and H. B. Nielsen, Nucl. Phys. B147, 277 (1979).
  20. M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B398, 319 (1993).
  21. M. Leurer, Y. Nir, and N. Seiberg, Nucl. Phys. B420, 468 (1994).
  22. A. E. Nelson, Phys. Lett. 136B, 387 (1984).
  23. A. E. Nelson, Phys. Lett. 143B, 165 (1984).
  24. S. M. Barr, Phys. Rev. Lett. 53, 329 (1984).
  25. F. Piazza and M. Pospelov, Phys. Rev. D 82, 043533 (2010).
  26. P. W. Graham, D. E. Kaplan, and S. Rajendran, Phys. Rev. Lett. 115, 221801 (2015).
  27. L. Calibbi, F. Goertz, D. Redigolo, R. Ziegler, and J. Zupan, Phys. Rev. D 95, 095009 (2017).
  28. M. Dine, G. Perez, W. Ratzinger, and I. Savoray, Phys. Rev. D 111, 015049 (2025).
  29. R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
  30. F. Wilczek, Phys. Rev. Lett. 40, 279 (1978).
  31. S. Weinberg, Phys. Rev. Lett. 40, 223 (1978).
  32. A. Hook, Phys. Rev. Lett. 120, 261802 (2018).
  33. A. Banerjee, M. A. Buen-Abad, and A. Hook, Phys. Rev. D 112, 075027 (2025).
  34. L. Di Luzio, B. Gavela, P. Quilez, and A. Ringwald, J. High Energy Phys. 05 (2021) 184.
  35. D. Brzeminski, Z. Chacko, A. Dev, and A. Hook, Phys. Rev. D 104, 075019 (2021).
  36. Y. M. Cho and Y. Y. Keum, Classical Quantum Gravity 15, 907 (1998).
  37. T. Damour and J. F. Donoghue, Classical Quantum Gravity 27, 202001 (2010).
  38. T. Damour and J. F. Donoghue, Phys. Rev. D 82, 084033 (2010).
  39. A. Arvanitaki, J. Huang, and K. Van Tilburg, Phys. Rev. D 91, 015015 (2015).
  40. J. Hubisz, S. Ironi, G. Perez, and R. Rosenfeld, Phys. Lett. B 851, 138583 (2024).
  41. A. Banerjee, C. Csáki, M. Geller, Z. Heller-Algazi, and A. Ismail, arXiv:2506.21659.
  42. Z. Chacko, H.-S. Goh, and R. Harnik, Phys. Rev. Lett. 96, 231802 (2006).
  43. C. J. Kennedy, E. Oelker, J. M. Robinson, T. Bothwell, D. Kedar, W. R. Milner, G. E. Marti, A. Derevianko, and J. Ye, Phys. Rev. Lett. 125, 201302 (2020).
  44. W. M. Campbell, B. T. McAllister, M. Goryachev, E. N. Ivanov, and M. E. Tobar, Phys. Rev. Lett. 126, 071301 (2021).
  45. R. Oswald et al., Phys. Rev. Lett. 129, 031302 (2022).
  46. R. Oswald, V. Vogt, and S. Schiller, Phys. Rev. D 111, 055003 (2025).
  47. S. M. Vermeulen et al., Nature (London) 600, 424 (2021).
  48. A. Branca et al., Phys. Rev. Lett. 118, 021302 (2017).
  49. J. Gué, P. Wolf, and A. Hees, Phys. Rev. Lett. 135, 171001 (2025).
  50. H. Kim and G. Perez, Phys. Rev. D 109, 015005 (2024).
  51. H. Kim, A. Lenoci, G. Perez, and W. Ratzinger, Phys. Rev. D 109, 015030 (2024).
  52. C. Beadle, S. A. R. Ellis, J. Quevillon, and P. N. Hoa Vuong, Phys. Rev. D 110, 035019 (2024).
  53. K. Springmann, M. Stadlbauer, S. Stelzl, and A. Weiler, J. High Energy Phys. 02 (2025) 138.
  54. J. E. Kim, Phys. Rev. Lett. 43, 103 (1979).
  55. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B166, 493 (1980).
  56. M. Dine, W. Fischler, and M. Srednicki, Phys. Lett. 104B, 199 (1981).
  57. A. R. Zhitnitsky, Sov. J. Nucl. Phys. 31, 260 (1980).
  58. I. Bigaran, P. J. Fox, Y. Gouttenoire, R. Harnik, G. Krnjaic, T. Menzo, and J. Zupan, arXiv:2503.07722.
  59. J. Zhang, Z. Lyu, J. Huang, M. C. Johnson, L. Sagunski, M. Sakellariadou, and H. Yang, Phys. Rev. Lett. 127, 161101 (2021).
  60. K. Bartnick, D. Koester, R.-P. Kudritzki, K. Springmann, S. Stelzl, and A. Weiler, Mon. Not. R. Astron. Soc. 545, staf1811 (2026).
  61. K. Bartnick, K. Springmann, S. Stelzl, and A. Weiler, arXiv:2509.25305.
  62. T. Bouley, P. Sørensen, and T.-T. Yu, J. High Energy Phys. 03 (2023) 104.
  63. N. Craig, S. Koren, and T. Trott, J. High Energy Phys. 05 (2017) 038.
  64. Z. Chacko, D. Curtin, M. Geller, and Y. Tsai, J. High Energy Phys. 09 (2018) 163.
  65. R. Balkin, J. Serra, K. Springmann, S. Stelzl, and A. Weiler, J. High Energy Phys. 06 (2022) 023.
  66. R. Balkin, J. Serra, K. Springmann, S. Stelzl, and A. Weiler, SciPost Phys. 14, 071 (2023).
  67. D. Antypas, O. Tretiak, A. Garcon, R. Ozeri, G. Perez, and D. Budker, Phys. Rev. Lett. 123, 141102 (2019).
  68. E. Savalle, A. Hees, F. Frank, E. Cantin, P.-E. Pottie, B. M. Roberts, L. Cros, B. T. Mcallister, and P. Wolf, Phys. Rev. Lett. 126, 051301 (2021).

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