• [1]

    G. Agazie et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L8 (2023), arXiv: 2306.16213[astro-ph.HE]

  • [2]

    J. Antoniadis et al. (EPTA and InPTA: Collaborations), Astron. Astrophys. 678, A50 (2023), arXiv: 2306.16214[astro-ph.HE]

  • [3]

    D. J. Reardon, A. Zic, R. M. Shannon et al., Astrophys. J. Lett. 951, L6 (2023), arXiv: 2306.16215[astro-ph.HE]

  • [4]

    H. Xu, S. Chen, Y. Guo et al., Res. Astron. Astrophys. 23, 075024 (2023), arXiv: 2306.16216[astro-ph.HE]

  • [5]

    Z. Q. Shen, G. W. Yuan, Y. Y. Wang et al., Phys. Dark Univ. 49, 102004 (2025), arXiv: 2306.17143[astro-ph.HE]

  • [6]

    J. Ellis, M. Fairbairn, G. Hütsi et al., Phys. Rev. D 109, L021302 (2024), arXiv: 2306.17021[astro-ph.CO]

  • [7]

    A. Afzal et al. (NANOGrav Collaboration), Astrophys. J. Lett. 951, L11 (2023), arXiv: 2306.16219[astro-ph.HE]

  • [8]

    J. Ellis, M. Lewicki, C. Lin et al., Phys. Rev. D 108, 103511 (2023), arXiv: 2306.17147[astro-ph.CO]

  • [9]

    N. Kitajima, J. Lee, K. Murai et al., Phys. Lett. B 851, 138586 (2024), arXiv: 2306.17146[hep-ph]

  • [10]

    Y. Bai, T. K. Chen, and M. Korwar, JHEP 12, 194 (2023), arXiv: 2306.17160[hep-ph]

  • [11]

    K. Fujikura, S. Girmohanta, and Y. Nakai, Phys. Lett. B 846, 138203 (2023), arXiv: 2306.17086[hep-ph]

  • [12]

    T. Bringmann, P. F. Depta, T. Konstandin et al., JCAP 11, 053 (2023), arXiv: 2306.09411 [astro-ph.CO]

  • [13]

    K. N. Ananda, C. Clarkson, and D. Wands, Phys. Rev. D 75, 123518 (2007), arXiv: gr-qc/0612013

  • [14]

    Z. Chang, Y. T. Kuang, D. Wu et al., JCAP 2024, 044 (2024), arXiv: 2312.14409[astro-ph.CO]

  • [15]

    S. Balaji, G. Domènech, and G. Franciolini, JCAP 10, 041 (2023), arXiv: 2307.08552[gr-qc]

  • [16]

    Y. F. Cai, X. C. He, X. Ma et al., Sci. Bull. 68, 2929 (2023), arXiv: 2306.17822[gr-qc]

  • [17]

    S. Wang, Z. C. Zhao, and Q. H. Zhu, Phys. Rev. Res. 6, 013207 (2024), arXiv: 2307.03095 [astro-ph.CO]

  • [18]

    S. Wang, Z. C. Zhao, J. P. Li, Phys. Rev. Res. 6, L012060 (2024), arXiv: 2307.00572[astro-ph.CO]

  • [19]

    J. Z. Zhou, X. Zhang, Q. H. Zhu et al., JCAP 05, 013 (2022), arXiv: 2106.01641[astro-ph.CO]

  • [20]

    N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 652, C4 (2021), arXiv: 1807.06209[astro-ph.CO]

  • [21]

    T. Bringmann, P. Scott, and Y. Akrami, Phys. Rev. D 85, 125027 (2012), arXiv: 1110.2484[astro-ph.CO]

  • [22]

    L. Liu, Z. C. Chen, and Q. G. Huang, Phys. Rev. D 109, L061301 (2024), arXiv: 2307.01102[astro-ph.CO]

  • [23]

    G. Franciolini, A. Iovino, Junior., V. Vaskonen, and H. Veermae, Phys. Rev. Lett. 131, 201401 (2023), arXiv: 2306.17149[astro-ph.CO]

  • [24]

    J. P. Li, S. Wang, Z. C. Zhao et al., JCAP 05, 109 (2024), arXiv: 2403.00238[astro-ph.CO]

  • [25]

    L. Liu, Z. C. Chen, and Q. G. Huang, JCAP 11, 071 (2023), arXiv: 2307.14911[astro-ph.CO]

  • [26]

    G. Domènech, S. Pi, A. Wang et al., JCAP 08, 054 (2024), arXiv: 2402.18965[astro-ph.CO]

  • [27]

    Q. H. Zhu, Z. C. Zhao, S. Wang et al., Chin. Phys. C 48, 125105 (2024), arXiv: 2307.13574 [astro-ph.CO]

  • [28]

    N. Bartolo, D. Bertacca, V. D. Luca et al., JCAP 02, 028 (2020)

  • [29]

    J. P. Li, S. Wang, Z. C. Zhao et al., JCAP 10, 056 (2023), arXiv: 2305.19950[astro-ph.CO]

  • [30]

    L. Ackerman, S. M. Carroll, and M. B. Wise, Phys. Rev. D 75, 083502 (2007) [Erratum: Phys.Rev.D 80, 069901 (2009)], arXiv: astro-ph/0701357

  • [31]

    J. Soda, Class. Quant. Grav. 29, 083001 (2012), arXiv: 1201.6434[hep-th]

  • [32]

    A. Maleknejad, M. Sheikh-Jabbari, and J. Soda, Phys. Rept. 528, 161 (2013)

  • [33]

    E. Dimastrogiovanni, N. Bartolo, S. Matarrese et al., Adv. Astron. 2010, 752670 (2010)

  • [34]

    C. Chen and A. Ota, Phys. Rev. D 106, 063507 (2022)

  • [35]

    C. Pfeifer and M. N. R. Wohlfarth, Phys. Rev. D 85, 064009 (2012)

  • [36]

    X. Li and Z. Chang, Phys. Rev. D 90, 064049 (2014)

  • [37]

    N. Russell, Phys. Rev. D 91, 045008 (2015)

  • [38]

    Z. Chang, P. K. Rath, Y. Sang et al., Mon. Not. Roy. Astron. Soc. 479, 1327 (2018), arXiv: 1806.11425[astro-ph.CO]

  • [39]

    B. A. Bassett, S. Tsujikawa, and D. Wands, Rev. Mod. Phys. 78, 537 (2006), arXiv: astro-ph/0507632

  • [40]

    Y. F. Cai, C. Lin, B. Wang et al., Phys. Rev. Lett. 126, 071303 (2021), arXiv: 2009.09833[gr-qc]

  • [41]

    M. A. Gorji and M. Sasaki, Phys. Lett. B 846, 138236 (2023), arXiv: 2302.14080[gr-qc]

  • [42]

    V. K. Oikonomou, Phys. Rev. D 108, 043516 (2023), arXiv: 2306.17351[astro-ph.CO]

  • [43]

    Z. Chang, X. K. Zhang, and J. Z. Zhou, Phys. Rev. D 107, 063510 (2023), arXiv: 2209.07693[astro-ph.CO]

  • [44]

    K. Inomata, JCAP 03, 013 (2021), arXiv: 2008.12300[gr-qc]

  • [45]

    K. Kohri and T. Terada, Phys. Rev. D 97, 123532 (2018), arXiv: 1804.08577[gr-qc]

  • [46]

    C. Yuan and Q. G. Huang, iScience 24, 102860 (2021), arXiv: 2103.04739[astro-ph.GA]

  • [47]

    A. Maleknejad and M. M. Sheikh-Jabbari, Phys. Rev. D 85, 123508 (2012), arXiv: 1203.0219[hep-th]

  • [48]

    Z. Zhou, J. Jiang, Y. F. Cai et al., Phys. Rev. D 102, 103527 (2020), arXiv: 2010.03537[astroph.CO]

  • [49]

    A. Addazi, S. Capozziello, and Q. Gan, JCAP 08, 051 (2022), arXiv: 2204.07668[astro-ph.CO]

  • [50]

    Z. Z. Peng, C. Fu, J. Liu et al., JCAP 10, 050 (2021), arXiv: 2106.11816[astro-ph.CO]

  • [51]

    L. Y. Chen, H. Yu, and P. Wu, Phys. Lett. B 849, 138457 (2024), arXiv: 2401.07523[gr-qc]

  • [52]

    S. Wang, T. Terada, and K. Kohri, Phys. Rev. D 99, 103531 (2019) [Erratum: Phys.Rev.D 101, 069901 (2020)], arXiv: 1903.05924[astro-ph.CO]

  • [53]

    K. Saikawa and S. Shirai, JCAP 05, 035 (2018), arXiv: 1803.01038[hep-ph]

  • [54]

    X. Li, S. Wang, and Z. Chang, Eur. Phys. J. C 75, 260 (2015), arXiv: 1502.02256[gr-qc]

  • [55]

    W. G. Lamb, S. R. Taylor, and R. van Haasteren, Phys. Rev. D 108, 103019 (2023), arXiv: 2303.15442[astroph.HE]

  • [56]

    C. J. Moore and A. Vecchio, Nature Astron. 5, 1268 (2021), arXiv: 2104.15130[astro-ph.CO]

  • [57]

    A. Mitridate, D. Wright, R. von Eckardstein et al., (2023), arXiv: 2306.16377[hep-ph]

  • [58]

    https://zenodo.org/records/8060824

  • [59]

    G. Ashton, M. Hübner, P. D. Lasky et al., Astrophys. J. Suppl. 241, 27 (2019), arXiv: 1811.02042[astro-ph.IM]

  • [60]

    J. S. Speagle, Mon. Not. Roy. Astron. Soc. 493, 3132 (2020), arXiv: 1904.02180[astro-ph.IM]

  • [61]

    https://zenodo.org/records/12537467

  • [62]

    I. Ben-Dayan, B. Keating, D. Leon et al., JCAP 06, 007 (2019), arXiv: 1903.11843[astro-ph.CO]

  • [63]

    J. Cang, Y. Z. Ma, and Y. Gao, Astrophys. J. 949, 64 (2023), arXiv: 2210.03476[astro-ph.CO]

  • [64]

    T. J. Clarke, E. J. Copeland, and A. Moss, JCAP 10, 002 (2020), arXiv: 2004.11396[astro-ph.CO]

  • [65]

    X. Siemens, J. Ellis, F. Jenet et al., Class. Quant. Grav. 30, 224015 (2013), arXiv: 1305.3196[astro-ph.IM]

  • [66]

    T. Robson, N. J. Cornish, and C. Liu, Class. Quant. Grav. 36, 105011 (2019), arXiv: 1803.01944[astro-ph.HE]

  • [67]

    J. Ellis, M. Fairbairn, G. Franciolini et al., Phys. Rev. D 109, 023522 (2024), arXiv: 2308.08546[astro-ph.CO]

  • [68]

    S. Yokoyama and J. Soda, JCAP 08, 005 (2008), arXiv: 0805.4265[astro-ph]