- Open Access
Isotropic cosmic birefringence from string axion domain walls without cosmic strings and DESI results
Phys. Rev. D 112, 043538 – Published 28 August, 2025
DOI: https://doi.org/10.1103/pjf4-sn4v
Abstract
Recently, results from the Atacama Cosmology Telescope (ACT) DR6 have shown a preference for isotropic cosmic birefringence, consistent with previous analyses based on Planck and WMAP data. Separately, the Dark Energy Spectroscopic Instrument (DESI) DR2 results suggest that dark energy evolves over cosmic history, pointing to new physics in the late-time universe. In this paper, we propose that domain walls associated with the string axion can naturally explain the isotropic cosmic birefringence, focusing on the case in which the axion starts near a hilltop. Interestingly, to avoid the domain wall problem, these walls must form well after recombination. The predicted rotation angle, degrees (with anomaly coefficient ), is in excellent agreement with observations. This scenario can be further tested by probing anisotropic birefringence of photons emitted long after recombination, as well as gravitational waves. Moreover, starting the axion oscillation from a hilltop naturally enhances its abundance via anharmonic effects, thus contributing to the dark energy component. We discuss how this hilltop axion scenario may connect with the DESI results.
Physics Subject Headings (PhySH)
Article Text
References (100)
- E. Witten, Phys. Lett. 149B, 351 (1984).
- P. Svrcek and E. Witten, J. High Energy Phys. 06 (2006) 051.
- J. P. Conlon, J. High Energy Phys. 05 (2006) 078.
- A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, Phys. Rev. D 81, 123530 (2010).
- B. S. Acharya, K. Bobkov, and P. Kumar, J. High Energy Phys. 11 (2010) 105.
- T. Higaki and T. Kobayashi, Phys. Rev. D 84, 045021 (2011).
- M. Cicoli, M. Goodsell, and A. Ringwald, J. High Energy Phys. 10 (2012) 146.
- M. Demirtas, C. Long, L. McAllister, and M. Stillman, J. High Energy Phys. 04 (2020) 138.
- V. Balasubramanian, P. Berglund, J. P. Conlon, and F. Quevedo, J. High Energy Phys. 03 (2005) 007.
- L. Di Luzio, M. Giannotti, E. Nardi, and L. Visinelli, Phys. Rep. 870, 1 (2020).
- J. Jaeckel and A. Ringwald, Annu. Rev. Nucl. Part. Sci. 60, 405 (2010).
- A. Ringwald, Phys. Dark Universe 1, 116 (2012).
- P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, J. Cosmol. Astropart. Phys. 06 (2012) 013.
- P. W. Graham, I. G. Irastorza, S. K. Lamoreaux, A. Lindner, and K. A. van Bibber, Annu. Rev. Nucl. Part. Sci. 65, 485 (2015).
- D. J. E. Marsh, Phys. Rep. 643, 1 (2016).
- I. G. Irastorza and J. Redondo, Prog. Part. Nucl. Phys. 102, 89 (2018).
- J. S. Reynés, J. H. Matthews, C. S. Reynolds, H. R. Russell, R. N. Smith, and M. C. D. Marsh, Mon. Not. R. Astron. Soc. 510, 1264 (2021).
- T. Louis et al. (ACT Collaboration), arXiv:2503.14452.
- J. R. Eskilt and E. Komatsu, Phys. Rev. D 106, 063503 (2022).
- Y. Minami and E. Komatsu, Phys. Rev. Lett. 125, 221301 (2020).
- P. Diego-Palazuelos et al., Phys. Rev. Lett. 128, 091302 (2022).
- J. R. Eskilt, Astron. Astrophys. 662, A10 (2022).
- J. R. Eskilt et al. (Cosmoglobe Collaboration), Astron. Astrophys. 679, A144 (2023).
- S. M. Carroll, Phys. Rev. Lett. 81, 3067 (1998).
- F. Finelli and M. Galaverni, Phys. Rev. D 79, 063002 (2009).
- S. Panda, Y. Sumitomo, and S. P. Trivedi, Phys. Rev. D 83, 083506 (2011).
- M. A. Fedderke, P. W. Graham, and S. Rajendran, Phys. Rev. D 100, 015040 (2019).
- T. Fujita, Y. Minami, K. Murai, and H. Nakatsuka, Phys. Rev. D 103, 063508 (2021).
- T. Fujita, K. Murai, H. Nakatsuka, and S. Tsujikawa, Phys. Rev. D 103, 043509 (2021).
- F. Takahashi and W. Yin, J. Cosmol. Astropart. Phys. 04 (2021) 007.
- V. M. Mehta, M. Demirtas, C. Long, D. J. E. Marsh, L. McAllister, and M. J. Stott, J. Cosmol. Astropart. Phys. 07 (2021) 033.
- S. Nakagawa, F. Takahashi, and M. Yamada, Phys. Rev. Lett. 127, 181103 (2021).
- G. Choi, W. Lin, L. Visinelli, and T. T. Yanagida, Phys. Rev. D 104, L101302 (2021).
- I. Obata, J. Cosmol. Astropart. Phys. 09 (2022) 062.
- W. W. Yin, L. Dai, and S. Ferraro, J. Cosmol. Astropart. Phys. 06 (2022) 033.
- N. Kitajima, F. Kozai, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 10 (2022) 043.
- S. Gasparotto and I. Obata, J. Cosmol. Astropart. Phys. 08 (2022) 025.
- W. Lin and T. T. Yanagida, Phys. Rev. D 107, L021302 (2023).
- K. Murai, F. Naokawa, T. Namikawa, and E. Komatsu, Phys. Rev. D 107, L041302 (2023).
- D. Gonzalez, N. Kitajima, F. Takahashi, and W. Yin, Phys. Lett. B 843, 137990 (2023).
- M. Galaverni, F. Finelli, and D. Paoletti, Phys. Rev. D 107, 083529 (2023).
- J. R. Eskilt, L. Herold, E. Komatsu, K. Murai, T. Namikawa, and F. Naokawa, Phys. Rev. Lett. 131, 121001 (2023).
- L. Yin, J. Kochappan, T. Ghosh, and B.-H. Lee, J. Cosmol. Astropart. Phys. 10 (2023) 007.
- F. Naokawa and T. Namikawa, Phys. Rev. D 108, 063525 (2023).
- K. Murai, F. Takahashi, and W. Yin, Phys. Rev. D 108, 036020 (2023).
- S. Gasparotto and E. I. Sfakianakis, J. Cosmol. Astropart. Phys. 11 (2023) 017.
- N. Gendler, D. J. E. Marsh, L. McAllister, and J. Moritz, J. Cosmol. Astropart. Phys. 09 (2024) 071.
- A. Greco, N. Bartolo, and A. Gruppuso, J. Cosmol. Astropart. Phys. 10 (2024) 028.
- J. Lee, K. Murai, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 05 (2024) 122.
- F. Naokawa, T. Namikawa, K. Murai, I. Obata, and K. Kamada, arXiv:2405.15538.
- J. Lee, K. Murai, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 10 (2024) 038.
- K. Murai, Phys. Rev. D 111, 043514 (2025).
- D. Zhang, E. G. M. Ferreira, I. Obata, and T. Namikawa, Phys. Rev. D 110, 103525 (2024).
- J. Kochappan, L. Yin, B.-H. Lee, and T. Ghosh, arXiv:2408.09521.
- S. Blasi, arXiv:2412.15085.
- W. Yin, arXiv:2412.19798.
- E. Komatsu, Nat. Rev. Phys. 4, 452 (2022).
- S. M. Carroll, G. B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990).
- S. M. Carroll and G. B. Field, Phys. Rev. D 43, 3789 (1991).
- D. Harari and P. Sikivie, Phys. Lett. B 289, 67 (1992).
- M. Abdul Karim et al. (DESI Collaboration), arXiv:2503.14738.
- M. Abdul Karim et al. (DESI Collaboration), arXiv:2503.14739.
- A. G. Adame et al. (DESI Collaboration), J. Cosmol. Astropart. Phys. 02 (2025) 021.
- D. Rubin et al., arXiv:2311.12098.
- T. M. C. Abbott et al. (DES Collaboration), Astrophys. J. Lett. 973, L14 (2024).
- Y. Tada and T. Terada, Phys. Rev. D 109, L121305 (2024).
- W. Yin, J. High Energy Phys. 05 (2024) 327.
- M. Cortês and A. R. Liddle, J. Cosmol. Astropart. Phys. 12 (2024) 007.
- S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, J. Cosmol. Astropart. Phys. 09 (2024) 073.
- P. Mukherjee and A. A. Sen, Phys. Rev. D 110, 123502 (2024).
- A. Notari, M. Redi, and A. Tesi, J. Cosmol. Astropart. Phys. 11 (2024) 025.
- X. D. Jia, J. P. Hu, S. X. Yi, and F. Y. Wang, Astrophys. J. Lett. 979, L34 (2025).
- A. Hernández-Almada, M. L. Mendoza-Martínez, M. A. García-Aspeitia, and V. Motta, Phys. Dark Universe 46, 101668 (2024).
- S. Bhattacharya, G. Borghetto, A. Malhotra, S. Parameswaran, G. Tasinato, and I. Zavala, arXiv:2410.21243.
- M. Berbig, J. Cosmol. Astropart. Phys. 03 (2025) 015.
- W. J. Wolf, C. García-García, and P. G. Ferreira, arXiv:2502.04929.
- A. Chakraborty, P. K. Chanda, S. Das, and K. Dutta, arXiv:2503.10806.
- G. Borghetto, A. Malhotra, G. Tasinato, and I. Zavala, arXiv:2503.11628.
- E. V. Linder, Phys. Rev. Lett. 90, 091301 (2003).
- R. de Putter and E. V. Linder, J. Cosmol. Astropart. Phys. 10 (2008) 042.
- W. Yin, Phys. Rev. D 106, 055014 (2022).
- J. Khoury, M.-X. Lin, and M. Trodden, arXiv:2503.16415.
- R. Daido, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 05 (2017) 044.
- R. T. Co, E. Gonzalez, and K. Harigaya, J. High Energy Phys. 05 (2019) 163.
- F. Takahashi and W. Yin, J. High Energy Phys. 10 (2019) 120.
- S. Nakagawa, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 05 (2020) 004.
- Y. Narita, F. Takahashi, and W. Yin, J. Cosmol. Astropart. Phys. 12 (2023) 039.
- R. T. Co, T. Gherghetta, Z. Liu, and K.-F. Lyu, J. High Energy Phys. 09 (2024) 145.
- Y. B. Zeldovich, I. Y. Kobzarev, and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1974), https://inspirehep.net/literature/91696.
- A. Vilenkin, Phys. Rep. 121, 263 (1985).
- P. A. R. Ade et al. (BICEP and Keck Collaborations), Phys. Rev. Lett. 127, 151301 (2021).
- M. Tristram et al., Phys. Rev. D 105, 083524 (2022).
- P. Campeti and E. Komatsu, Astrophys. J. 941, 110 (2022).
- G. Galloni, N. Bartolo, S. Matarrese, M. Migliaccio, A. Ricciardone, and N. Vittorio, J. Cosmol. Astropart. Phys. 04 (2023) 062.
- T. Namikawa, Phys. Rev. D 111, 023501 (2025).
- R. Z. Ferreira, S. Gasparotto, T. Hiramatsu, I. Obata, and O. Pujolas, J. Cosmol. Astropart. Phys. 05 (2024) 066.
- L. Sousa and P. P. Avelino, Phys. Rev. D 92, 083520 (2015).
- A. Lazanu, C. J. A. P. Martins, and E. P. S. Shellard, Phys. Lett. B 747, 426 (2015).
- N. Ramberg, W. Ratzinger, and P. Schwaller, J. Cosmol. Astropart. Phys. 02 (2023) 039.
- K. Lodha et al. (DESI Collaboration), arXiv:2503.14743.