• [1]

    B. P. Abbott, et al. (LIGO Scientific, Virgo), Phys. Rev. Lett. 119, 161101 (2017), arXiv: 1710.05832[gr-qc]

  • [2]

    B. F. Schutz, Nature 323, 310 (1986)

  • [3]

    D. E. Holz and S. A. Hughes, Astrophys. J. 629, 15 (2005), arXiv: astro-ph/0504616

  • [4]

    N. Dalal, D. E. Holz, S. A. Hughes, and B. Jain, Phys. Rev. D 74, 063006 (2006), arXiv: astro-ph/0601275

  • [5]

    S. Nissanke, D. E. Holz, S. A. Hughes, N. Dalal, and J. L. Sievers, Astrophys. J. 725, 496 (2010), arXiv: 0904.1017[astro-ph.CO]

  • [6]

    C. Cutler and D. E. Holz, Phys. Rev. D 80, 104009 (2009), arXiv: 0906.3752[astro-ph.CO]

  • [7]

    S. Camera and A. Nishizawa, Phys. Rev. Lett. 110, 151103 (2013), arXiv: 1303.5446[astro-ph.CO]

  • [8]

    R.-G. Cai and T. Yang, Phys. Rev. D 95, 044024 (2017), arXiv: 1608.08008[astro-ph.CO]

  • [9]

    R.-G. Cai, Z. Cao, Z.-K. Guo, S.-J. Wang, and T. Yang, Natl. Sci. Rev. 4, 687 (2017), arXiv: 1703.00187[gr-qc]

  • [10]

    R.-G. Cai, T.-B. Liu, X.-W. Liu, S.-J. Wang, and T. Yang, Phys. Rev. D 97, 103005 (2018), arXiv: 1712.00952[astro-ph.CO]

  • [11]

    H.-Y. Chen, M. Fishbach, and D. E. Holz, Nature 562, 545 (2018), arXiv: 1712.06531[astro-ph.CO]

  • [12]

    L.-F. Wang, X.-N. Zhang, J.-F. Zhang, and X. Zhang, Phys. Lett. B 782, 87 (2018), arXiv: 1802.04720[astroph.CO]

  • [13]

    S. Vitale and H.-Y. Chen, Phys. Rev. Lett. 121, 021303 (2018), arXiv: 1804.07337[astro-ph.CO]

  • [14]

    E. Belgacem, Y. Dirian, S. Foffa, E. J. Howell, M. Maggiore, and T. Regimbau, JCAP 08, 015 (2019), arXiv: 1907.01487[astro-ph.CO]

  • [15]

    R. D’Agostino and R. C. Nunes, Phys. Rev. D 100, 044041 (2019), arXiv: 1907.05516[gr-qc]

  • [16]

    C. Howlett and T. M. Davis, Mon. Not. Roy. Astron. Soc. 492, 3803 (2020), arXiv: 1909.00587[astro-ph.CO]

  • [17]

    Z.-W. Zhao, L.-F. Wang, J.-F. Zhang, and X. Zhang, Sci. Bull. 65, 1340 (2020), arXiv: 1912.11629[astroph.CO]

  • [18]

    S. Borhanian, A. Dhani, A. Gupta, K. G. Arun, and B. S. Sathyaprakash, Astrophys. J. Lett. 905, L28 (2020), arXiv:2007.02883[astro-ph.CO]., arXiv: 2007.02883[astro-ph.CO]

  • [19]

    J.-Z. Qi, S.-J. Jin, X.-L. Fan, J.-F. Zhang, and X. Zhang, JCAP 12, 042 (2021), arXiv: 2102.01292[astro-ph.CO]

  • [20]

    J. Yu, H. Song, S. Ai, H. Gao, F. Wang, Y. Wang, Y. Lu, W. Fang, and W. Zhao, Astrophys. J. 916, 54 (2021), arXiv: 2104.12374[astro-ph.HE]

  • [21]

    L.-G. Zhu, L.-H. Xie, Y.-M. Hu, S. Liu, E.-K. Li, N. R. Napolitano, B.-T. Tang, J.-d. Zhang, and J. Mei, Sci. China Phys. Mech. Astron. 65, 259811 (2022), arXiv: 2110.05224[astro-ph.CO]

  • [22]

    J. Zheng, Y. Chen, T. Xu, and Z.-H. Zhu, Eur. Phys. J. Plus 137, 509 (2022), arXiv: 2201.07011[astro-ph.CO]

  • [23]

    J. M. Ezquiaga and D. E. Holz, Phys. Rev. Lett. 129, 061102 (2022), arXiv: 2202.08240[astro-ph.CO]

  • [24]

    S.-J. Jin, R.-Q. Zhu, L.-F. Wang, H.-L. Li, J.-F. Zhang, and X. Zhang, Commun. Theor. Phys. 74, 105404 (2022), arXiv: 2204.04689[astro-ph.CO]

  • [25]

    P. Auclair, et al. (LISA Cosmology Working Group), Living Rev. Rel. 26, 5 (2023), arXiv: 2204.05434[astroph.CO]

  • [26]

    W.-T. Hou, J.-Z. Qi, T. Han, J.-F. Zhang, S. Cao, and X. Zhang, JCAP 05, 017 (2023), arXiv: 2211.10087[astro-ph.CO]

  • [27]

    J.-Y. Song, L.-F. Wang, Y. Li, Z.-W. Zhao, J.-F. Zhang, W. Zhao, and X. Zhang, Sci. China Phys. Mech. Astron. 67, 230411 (2024), arXiv: 2212.00531[astro-ph.CO]

  • [28]

    L.-G. Zhu and X. Chen, Astrophys. J. 948, 26 (2023), arXiv: 2302.10621[astro-ph.CO]

  • [29]

    N. Muttoni, D. Laghi, N. Tamanini, S. Marsat, and D. Izquierdo-Villalba, Phys. Rev. D 108, 043543 (2023), arXiv: 2303.10693[astro-ph.CO]

  • [30]

    M. Branchesi, et al., JCAP 07, 068 (2023), arXiv: 2303.15923[gr-qc]

  • [31]

    H.-Y. Chen, C. Talbot, and E. A. Chase, Phys. Rev. Lett. 132, 191003 (2024), arXiv: 2307.10402[astroph.CO]

  • [32]

    T. Han, S.-J. Jin, J.-F. Zhang, and X. Zhang, Eur. Phys. J. C 84, 663 (2024), arXiv: 2309.14965[astroph.CO]

  • [33]

    T.-N. Li, S.-J. Jin, H.-L. Li, J.-F. Zhang, and X. Zhang, Astrophys. J. 963, 52 (2024), arXiv: 2310.15879[astroph.CO]

  • [34]

    J. Yu, Z. Liu, X. Yang, Y. Wang, P. Zhang, X. Zhang, and W. Zhao, Astrophys. J. Suppl. 270, 24 (2024), arXiv: 2311.11588[astro-ph.HE]

  • [35]

    Y.-Y. Dong, J.-Y. Song, S.-J. Jin, J.-F. Zhang, and X. Zhang, JCAP 05, 046 (2025), arXiv: 2404.18188[astro-ph.CO]

  • [36]

    L. Feng, T. Han, J.-F. Zhang, and X. Zhang, Chin. Phys. C 48, 095104 (2024), arXiv: 2404.19530[astroph.CO]

  • [37]

    J. Zheng, X.-H. Liu, and J.-Z. Qi, Astrophys. J. 975, 215 (2024), arXiv: 2407.05686[astro-ph.CO]

  • [38]

    S.-R. Xiao, Y. Shao, L.-F. Wang, J.-Y. Song, L. Feng, J.-F. Zhang, and X. Zhang, JCAP 04, 060 (2025), arXiv: 2408.00609[astro-ph.CO]

  • [39]

    L. Feng, T. Han, J.-F. Zhang, and X. Zhang, Commun. Theor. Phys. 77, 065403 (2025), arXiv: 2409.04453[astro-ph.HE]

  • [40]

    T. Han, Z. Li, J.-F. Zhang, and X. Zhang, Universe 11, 85 (2025), arXiv: 2412.06873[astro-ph.CO]

  • [41]

    T. Han, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2504.17741[astro-ph.CO].

  • [42]

    S.-J. Jin, J.-Y. Song, T.-Y. Sun, S.-R. Xiao, H. Wang, L.-F. Wang, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2507.12965[astro-ph.CO].

  • [43]

    "ET," https://www.et-gw.eu/.

  • [44]

    M. Punturo, et al., Class. Quant. Grav. 27, 194002 (2010)

  • [45]

    "CE," https://cosmicexplorer.org/.

  • [46]

    B. P. Abbott, et al. (LIGO Scientific), Class. Quant. Grav. 34, 044001 (2017), arXiv: 1607.08697[astroph.IM]

  • [47]

    J. Lesgourgues and S. Pastor, Phys. Rept. 429, 307 (2006), arXiv: astro-ph/0603494

  • [48]

    A. Aguilar, et al. (LSND), Phys. Rev. D 64, 112007 (2001), arXiv: hep-ex/0104049

  • [49]

    G. Mention, M. Fechner, T. Lasserre, T. A. Mueller, D. Lhuillier, M. Cribier, and A. Letourneau, Phys. Rev. D 83, 073006 (2011), arXiv: 1101.2755[hep-ex]

  • [50]

    J. M. Conrad, C. M. Ignarra, G. Karagiorgi, M. H. Shaevitz, and J. Spitz, Adv. High Energy Phys. 2013, 163897 (2013), arXiv: 1207.4765[hep-ex]

  • [51]

    C. Giunti, M. Laveder, Y. F. Li, Q. Y. Liu, and H. W. Long, Phys. Rev. D 86, 113014 (2012), arXiv: 1210.5715[hep-ph]

  • [52]

    J. Kopp, P. A. N. Machado, M. Maltoni, and T. Schwetz, JHEP 05, 050 (2013), arXiv: 1303.3011[hepph]

  • [53]

    C. Giunti, M. Laveder, Y. F. Li, and H. W. Long, Phys. Rev. D 88, 073008 (2013), arXiv: 1308.5288[hep-ph]

  • [54]

    S. Gariazzo, C. Giunti, and M. Laveder, JHEP 11, 211 (2013), arXiv: 1309.3192[hep-ph]

  • [55]

    A. A. Aguilar-Arevalo, et al. (MiniBooNE), Phys. Rev. Lett. 121, 221801 (2018), arXiv: 1805.12028[hep-ex]

  • [56]

    P. Adamson et al. (Daya Bay, MINOS), Phys. Rev. Lett. 117, 151801 (2016), [Addendum: Phys.Rev.Lett. 117, 209901 (2016)], arXiv:1607.01177[hep-ex].

  • [57]

    F. P. An, et al. (Daya Bay), Phys. Rev. Lett. 133, 051801 (2024), arXiv: 2404.01687[hep-ex]

  • [58]

    M. G. Aartsen, et al. (IceCube), Phys. Rev. Lett. 117, 071801 (2016), arXiv: 1605.01990[hep-ex]

  • [59]

    R. Abbasi, et al. ((IceCube Collaboration)k, IceCube), Phys. Rev. Lett. 133, 201804 (2024), arXiv: 2405.08070[hep-ex]

  • [60]

    F. An, et al. (JUNO), J. Phys. G 43, 030401 (2016), arXiv: 1507.05613[physics.ins-det]

  • [61]

    D. V. Forero, S. J. Parke, C. A. Ternes, and R. Z. Funchal, Phys. Rev. D 104, 113004 (2021), arXiv: 2107.12410[hep-ph]

  • [62]

    A. Abusleme, et al. (JUNO), Chin. Phys. C 49, 033104 (2025), arXiv: 2405.18008[hep-ex]

  • [63]

    P. Adamson, et al. (MINOS), Phys. Rev. Lett. 110, 251801 (2013), arXiv: 1304.6335[hep-ex]

  • [64]

    M. G. Aartsen, et al. (IceCube-Gen2), Phys. Rev. D 101, 032006 (2020), arXiv: 1911.06745[hep-ex]

  • [65]

    W. Hu, D. J. Eisenstein, and M. Tegmark, Phys. Rev. Lett. 80, 5255 (1998), arXiv: astro-ph/9712057

  • [66]

    P. C. de Holanda and A. Y. Smirnov, Phys. Rev. D 83, 113011 (2011), arXiv: 1012.5627[hep-ph]

  • [67]

    Y.-H. Li, S. Wang, X.-D. Li, and X. Zhang, JCAP 02, 033 (2013), arXiv: 1207.6679[astro-ph.CO]

  • [68]

    X. Wang, X.-L. Meng, T.-J. Zhang, H. Shan, Y. Gong, C. Tao, X. Chen, and Y. F. Huang, JCAP 11, 018 (2012), arXiv: 1210.2136[astro-ph.CO]

  • [69]

    A. Palazzo, Mod. Phys. Lett. A 28, 1330004 (2013), arXiv: 1302.1102[hep-ph]

  • [70]

    M. Wyman, D. H. Rudd, R. A. Vanderveld, and W. Hu, Phys. Rev. Lett. 112, 051302 (2014), arXiv: 1307.7715[astro-ph.CO]

  • [71]

    R. A. Battye and A. Moss, Phys. Rev. Lett. 112, 051303 (2014), arXiv: 1308.5870[astro-ph.CO]

  • [72]

    J.-F. Zhang, Y.-H. Li, and X. Zhang, Phys. Lett. B 740, 359 (2015), arXiv: 1403.7028[astro-ph.CO]

  • [73]

    C. Dvorkin, M. Wyman, D. H. Rudd, and W. Hu, Phys. Rev. D 90, 083503 (2014), arXiv: 1403.8049[astroph.CO]

  • [74]

    M. Archidiacono, N. Fornengo, S. Gariazzo, C. Giunti, S. Hannestad, and M. Laveder, JCAP 06, 031 (2014), arXiv: 1404.1794[astro-ph.CO]

  • [75]

    J.-F. Zhang, Y.-H. Li, and X. Zhang, Eur. Phys. J. C 74, 2954 (2014), arXiv: 1404.3598[astro-ph.CO]

  • [76]

    F. P. An, et al. (Daya Bay), Phys. Rev. Lett. 113, 141802 (2014), arXiv: 1407.7259[hep-ex]

  • [77]

    J.-F. Zhang, J.-J. Geng, and X. Zhang, JCAP 10, 044 (2014), arXiv: 1408.0481[astro-ph.CO]

  • [78]

    J.-F. Zhang, M.-M. Zhao, Y.-H. Li, and X. Zhang, JCAP 04, 038 (2015), arXiv: 1502.04028[astro-ph.CO]

  • [79]

    C.-Q. Geng, C.-C. Lee, R. Myrzakulov, M. Sami, and E. N. Saridakis, JCAP 01, 049 (2016), arXiv: 1504.08141[astro-ph.CO]

  • [80]

    X. Zhang, Phys. Rev. D 93, 083011 (2016), arXiv: 1511.02651[astro-ph.CO]

  • [81]

    Q.-G. Huang, K. Wang, and S. Wang, Eur. Phys. J. C 76, 489 (2016), arXiv: 1512.05899[astro-ph.CO]

  • [82]

    Y. Chen, B. Ratra, M. Biesiada, S. Li, and Z.-H. Zhu, Astrophys. J. 829, 61 (2016), arXiv: 1603.07115[astroph.CO]

  • [83]

    E. Giusarma, M. Gerbino, O. Mena, S. Vagnozzi, S. Ho, and K. Freese, Phys. Rev. D 94, 083522 (2016), arXiv: 1605.04320[astro-ph.CO]

  • [84]

    S. Wang, Y.-F. Wang, D.-M. Xia, and X. Zhang, Phys. Rev. D 94, 083519 (2016), arXiv: 1608.00672[astroph.CO]

  • [85]

    L. Xu and Q.-G. Huang, Sci. China Phys. Mech. Astron. 61, 039521 (2018), arXiv: 1611.05178[astro-ph.CO]

  • [86]

    S. Vagnozzi, E. Giusarma, O. Mena, K. Freese, M. Gerbino, S. Ho, and M. Lattanzi, Phys. Rev. D 96, 123503 (2017), arXiv: 1701.08172[astro-ph.CO]

  • [87]

    E.-K. Li, H. Zhang, M. Du, Z.-H. Zhou, and L. Xu, JCAP 08, 042 (2018), arXiv: 1703.01554[astro-ph.CO]

  • [88]

    W. Yang, R. C. Nunes, S. Pan, and D. F. Mota, Phys. Rev. D 95, 103522 (2017), arXiv: 1703.02556[astroph.CO]

  • [89]

    L. Feng, J.-F. Zhang, and X. Zhang, Eur. Phys. J. C 77, 418 (2017), arXiv: 1703.04884[astro-ph.CO]

  • [90]

    L. Feng, J.-F. Zhang, and X. Zhang, Sci. China Phys. Mech. Astron. 61, 050411 (2018), arXiv: 1706.06913[astro-ph.CO]

  • [91]

    S. Wang, Y.-F. Wang, and D.-M. Xia, Chin. Phys. C 42, 065103 (2018), arXiv: 1707.00588[astro-ph.CO]

  • [92]

    L. Feng, J.-F. Zhang, and X. Zhang, Phys. Dark Univ. 23, 100261 (2019), arXiv: 1712.03148[astro-ph.CO]

  • [93]

    S. Vagnozzi, S. Dhawan, M. Gerbino, K. Freese, A. Goobar, and O. Mena, Phys. Rev. D 98, 083501 (2018), arXiv: 1801.08553[astro-ph.CO]

  • [94]

    A. M. Knee, D. Contreras, and D. Scott, JCAP 07, 039 (2019), arXiv: 1812.02102[astro-ph.CO]

  • [95]

    L. Feng, H.-L. Li, J.-F. Zhang, and X. Zhang, Sci. China Phys. Mech. Astron. 63, 220401 (2020), arXiv: 1903.08848[astro-ph.CO]

  • [96]

    L. Feng, D.-Z. He, H.-L. Li, J.-F. Zhang, and X. Zhang, Sci. China Phys. Mech. Astron. 63, 290404 (2020), arXiv: 1910.03872[astro-ph.CO]

  • [97]

    Z. Liu and H. Miao, Int. J. Mod. Phys. D 29, 2050088 (2020), arXiv: 2002.05563[astro-ph.CO]

  • [98]

    W. Yang, E. Di Valentino, O. Mena, and S. Pan, Phys. Rev. D 102, 023535 (2020), arXiv: 2003.12552[astroph.CO]

  • [99]

    M. Zhang, J.-F. Zhang, and X. Zhang, Commun. Theor. Phys. 72, 125402 (2020), arXiv: 2005.04647[astro-ph.CO]

  • [100]

    W. Yang, E. Di Valentino, S. Pan, and O. Mena, Phys. Dark Univ. 31, 100762 (2021), arXiv: 2007.02927[astroph.CO]

  • [101]

    L. Feng, R.-Y. Guo, J.-F. Zhang, and X. Zhang, Phys. Lett. B 827, 136940 (2022), arXiv: 2109.06111[astroph.CO]

  • [102]

    E. Di Valentino, S. Gariazzo, C. Giunti, O. Mena, S. Pan, and W. Yang, Phys. Rev. D 105, 103511 (2022), arXiv: 2110.03990[astro-ph.CO]

  • [103]

    I. Tanseri, S. Hagstotz, S. Vagnozzi, E. Giusarma, and K. Freese, JHEAp 36, 1 (2022), arXiv: 2207.01913[astroph.CO]

  • [104]

    P. A. Chernikov and A. V. Ivanchik, Astron. Lett. 48, 689 (2022), arXiv: 2302.05251[astro-ph.CO]

  • [105]

    Y.-H. Pang, X. Zhang, and Q.-G. Huang, Chin. Phys. C 48, 065102 (2024), arXiv: 2312.07188[astro-ph.CO]

  • [106]

    S. Pan, O. Seto, T. Takahashi, and Y. Toda, Phys. Rev. D 110, 083524 (2024), arXiv: 2312.15435[astro-ph.CO]

  • [107]

    M. Abdul Karim et al. (DESI), (2025), arXiv: 2503.14738[astro-ph.CO].

  • [108]

    A. G. Adame, et al. (DESI), JCAP 02, 021 (2025), arXiv: 2404.03002[astro-ph.CO]

  • [109]

    W. Giarè, M. A. Sabogal, R. C. Nunes, and E. Di Valentino, Phys. Rev. Lett. 133, 251003 (2024), arXiv: 2404.15232[astro-ph.CO]

  • [110]

    H. Wang and Y.-S. Piao, (2024), arXiv: 2404.18579 [astro-ph.CO].

  • [111]

    T.-N. Li, P.-J. Wu, G.-H. Du, S.-J. Jin, H.-L. Li, J.- F. Zhang, and X. Zhang, Astrophys. J. 976, 1 (2024), arXiv: 2407.14934[astro-ph.CO]

  • [112]

    W. Giarè, M. Najafi, S. Pan, E. Di Valentino, and J. T. Firouzjaee, JCAP 10, 035 (2024), arXiv: 2407.16689[astro-ph.CO]

  • [113]

    B. R. Dinda and R. Maartens, JCAP 01, 120 (2025), arXiv: 2407.17252[astro-ph.CO]

  • [114]

    M. A. Sabogal, E. Silva, R. C. Nunes, S. Kumar, E. Di Valentino, and W. Giarè, Phys. Rev. D 110, 123508 (2024), arXiv: 2408.12403[astro-ph.CO]

  • [115]

    L. A. Escamilla, E. Özülker, Ö. Akarsu, E. Di Valentino, and J. A. Vázquez, (2024), arXiv: 2408.12516[astroph.CO].

  • [116]

    T.-N. Li, Y.-H. Li, G.-H. Du, P.-J. Wu, L. Feng, J.-F. Zhang, and X. Zhang, Eur. Phys. J. C 85, 608 (2025), arXiv: 2411.08639[astro-ph.CO]

  • [117]

    J.-X. Li and S. Wang, JCAP 07, 047 (2025), arXiv: 2412.09064[astro-ph.CO]

  • [118]

    T.-N. Li, G.-H. Du, Y.-H. Li, P.-J. Wu, S.-J. Jin, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2501.07361[astroph.CO].

  • [119]

    L. Huang, R.-G. Cai, and S.-J. Wang, Sci. China Phys. Mech. Astron. 68, 100413 (2025), arXiv: 2502.04212[astro-ph.CO]

  • [120]

    Y.-H. Pang, X. Zhang, and Q.-G. Huang, Sci. China Phys. Mech. Astron. 68, 280410 (2025), arXiv: 2503.21600[astro-ph.CO]

  • [121]

    C. You, D. Wang, and T. Yang, Phys. Rev. D 112, 043503 (2025), arXiv: 2504.00985[astro-ph.CO]

  • [122]

    S. Pan, S. Paul, E. N. Saridakis, and W. Yang, (2025), arXiv: 2504.00994[astro-ph.CO].

  • [123]

    P.-J. Wu, (2025), arXiv: 2504.09054[astro-ph.CO].

  • [124]

    H. Cheng, E. Di Valentino, L. A. Escamilla, A. A. Sen, and L. Visinelli, (2025), arXiv: 2505.02932[astroph.CO].

  • [125]

    Y. Yang, X. Dai, and Y. Wang, Phys. Rev. D 111, 103534 (2025), arXiv: 2505.09879[astro-ph.CO]

  • [126]

    J.-L. Ling, G.-H. Du, T.-N. Li, J.-F. Zhang, S.-J. Wang, and X. Zhang, (2025), arXiv: 2505.22369[astro-ph.CO].

  • [127]

    S. Barua and S. Desai, Phys. Dark Univ. 49, 101995 (2025), arXiv: 2506.12709[astro-ph.CO]

  • [128]

    Y.-H. Li and X. Zhang, (2025), arXiv: 2506.18477[astroph.CO].

  • [129]

    E. èzülker, E. Di Valentino, and W. Giarè, (2025), arXiv: 2506.19053[astro-ph.CO].

  • [130]

    I. D. Gialamas, G. Hütsi, M. Raidal, J. Urrutia, M. Vasar, and H. Veermäe, (2025), arXiv: 2506.21542 [astro-ph.CO].

  • [131]

    J.-X. Li and S. Wang, (2025), arXiv: 2506.22953[astroph.CO].

  • [132]

    T. Liu, X. Li, T. Xu, M. Biesiada, and J. Wang, (2025), arXiv: 2507.04265[astro-ph.CO].

  • [133]

    D.-C. Qiang, J.-Y. Jia, and H. Wei, (2025), arXiv: 2507.09981[astro-ph.CO].

  • [134]

    T.-N. Li, G.-H. Du, P.-J. Wu, J.-Z. Qi, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2507.13811[astro-ph.CO].

  • [135]

    T.-N. Li, Y.-M. Zhang, Y.-H. Yao, P.-J. Wu, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2506.09819[astroph.CO].

  • [136]

    T.-N. Li, P.-J. Wu, G.-H. Du, Y.-H. Yao, J.-F. Zhang, and X. Zhang, Phys. Dark Univ. 50, 102068 (2025), arXiv: 2507.07798[astro-ph.CO]

  • [137]

    P.-J. Wu, T.-N. Li, G.-H. Du, and X. Zhang, (2025), arXiv: 2509.02945[astro-ph.CO].

  • [138]

    G.-H. Du, P.-J. Wu, T.-N. Li, and X. Zhang, Eur. Phys. J. C 85, 392 (2025), arXiv: 2407.15640[astro-ph.CO]

  • [139]

    J.-Q. Jiang, W. Giarè, S. Gariazzo, M. G. Dainotti, E. Di Valentino, O. Mena, D. Pedrotti, S. S. da Costa, and S. Vagnozzi, JCAP 01, 153 (2025), arXiv: 2407.18047[astro-ph.CO]

  • [140]

    G.-H. Du, T.-N. Li, P.-J. Wu, L. Feng, S.-H. Zhou, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2501.10785[astroph.CO].

  • [141]

    L. Feng, T.-N. Li, G.-H. Du, J.-F. Zhang, and X. Zhang, Phys. Dark Univ. 48, 101935 (2025), arXiv: 2503.10423[astro-ph.CO]

  • [142]

    S. Roy Choudhury, Astrophys. J. Lett. 986, L31 (2025), arXiv: 2504.15340[astro-ph.CO]

  • [143]

    G.-H. Du, T.-N. Li, P.-J. Wu, J.-F. Zhang, and X. Zhang, (2025), arXiv: 2507.16589[astro-ph.CO].

  • [144]

    K. Akita and M. Yamaguchi, JCAP 08, 012 (2020), arXiv: 2005.07047[hep-ph]

  • [145]

    J. Froustey, C. Pitrou, and M. C. Volpe, JCAP 12, 015 (2020), arXiv: 2008.01074[hep-ph]

  • [146]

    J. J. Bennett, G. Buldgen, P. F. De Salas, M. Drewes, S. Gariazzo, S. Pastor, and Y. Y. Y. Wong, JCAP 04, 073 (2021), arXiv: 2012.02726[hep-ph]

  • [147]

    M. Li, Phys. Lett. B 603, 1 (2004), arXiv: hepth/0403127

  • [148]

    X. Zhang and F.-Q. Wu, Phys. Rev. D 72, 043524 (2005), arXiv: astro-ph/0506310

  • [149]

    M. Li, X.-D. Li, S. Wang, and X. Zhang, JCAP 06, 036 (2009), arXiv: 0904.0928[astro-ph.CO]

  • [150]

    M. Li, X.-D. Li, Y.-Z. Ma, X. Zhang, and Z. Zhang, JCAP 09, 021 (2013), arXiv: 1305.5302[astro-ph.CO]

  • [151]

    L. Feng and X. Zhang, JCAP 08, 072 (2016), arXiv: 1607.05567[astro-ph.CO]

  • [152]

    M. Chevallier and D. Polarski, Int. J. Mod. Phys. D 10, 213 (2001), arXiv: gr-qc/0009008

  • [153]

    E. V. Linder, Phys. Rev. Lett. 90, 091301 (2003), arXiv: astro-ph/0208512

  • [154]

    N. Aghanim et al. (Planck), Astron. Astrophys. 641, A6 (2020), [Erratum: Astron.Astrophys. 652, C4 (2021)], arXiv: 1807.06209[astro-ph.CO].

  • [155]

    F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Campbell, Q. Parker, W. Saunders, and F. Watson, Mon. Not. Roy. Astron. Soc. 416, 3017 (2011), arXiv: 1106.3366[astro-ph.CO]

  • [156]

    A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden, and M. Manera, Mon. Not. Roy. Astron. Soc. 449, 835 (2015), arXiv: 1409.3242[astro-ph.CO]

  • [157]

    S. Alam, et al. (BOSS), Mon. Not. Roy. Astron. Soc. 470, 2617 (2017), arXiv: 1607.03155[astro-ph.CO]

  • [158]

    D. M. Scolnic, et al. (Pan-STARRS1), Astrophys. J. 859, 101 (2018), arXiv: 1710.00845[astro-ph.CO]

  • [159]

    S. Vitale, W. M. Farr, K. Ng, and C. L. Rodriguez, Astrophys. J. Lett. 886, L1 (2019), arXiv: 1808.00901[astro-ph.HE]

  • [160]

    T. Yang, JCAP 05, 044 (2021), arXiv: 2103.01923[astroph.CO]

  • [161]

    P. Madau and M. Dickinson, Ann. Rev. Astron. Astrophys. 52, 415 (2014), arXiv: 1403.0007[astro-ph.CO]

  • [162]

    A. Eichhorn, T. Koslowski, and A. D. Pereira, Universe 5, 53 (2019), arXiv: 1811.12909[gr-qc]

  • [163]

    R. Abbott, et al. (KAGRA, VIRGO, LIGO Scientific), Phys. Rev. X 13, 011048 (2023), arXiv: 2111.03634[astro-ph.HE]

  • [164]

    F. èzel and P. Freire, Ann. Rev. Astron. Astrophys. 54, 401 (2016), arXiv: 1603.02698[astro-ph.HE]

  • [165]

    B. P. Abbott, et al. (LIGO Scientific, Virgo), Phys. Rev. X 9, 031040 (2019), arXiv: 1811.12907[astro-ph.HE]

  • [166]

    X. Zhang, T. Liu, and W. Zhao, Phys. Rev. D 95, 104027 (2017), arXiv: 1702.08752[gr-qc]

  • [167]

    L. Wen and Y. Chen, Phys. Rev. D 81, 082001 (2010), arXiv: 1003.2504[astro-ph.CO]

  • [168]

    W. Zhao and L. Wen, Phys. Rev. D 97, 064031 (2018), arXiv: 1710.05325[astro-ph.CO]

  • [169]

    C. Cutler, et al., Phys. Rev. Lett. 70, 2984 (1993), arXiv: astro-ph/9208005

  • [170]

    B. S. Sathyaprakash and B. F. Schutz, Living Rev. Rel. 12, 2 (2009), arXiv: 0903.0338[gr-qc]

  • [171]

    E. J. Howell, K. Ackley, A. Rowlinson, and D. Coward, Mon. Not. Roy. Astron. Soc. 485, 1435 (2019), arXiv: 1811.09168[astro-ph.HE]

  • [172]

    D. Wanderman and T. Piran, Mon. Not. Roy. Astron. Soc. 448, 3026 (2015), arXiv: 1405.5878[astro-ph.HE]

  • [173]

    W.-W. Tan and Y.-W. Yu, Astrophys. J. 902, 83 (2020), arXiv: 2006.02060[astro-ph.HE]

  • [174]

    G. Stratta, L. Amati, R. Ciolfi, and S. Vinciguerra, Mem. Soc. Ast. It. 89, 205 (2018), arXiv: 1802.01677[astro-ph.IM]

  • [175]

    L. Speri, N. Tamanini, R. R. Caldwell, J. R. Gair, and B. Wang, Phys. Rev. D 103, 083526 (2021), arXiv: 2010.09049[astro-ph.CO]

  • [176]

    C. M. Hirata, D. E. Holz, and C. Cutler, Phys. Rev. D 81, 124046 (2010), arXiv: 1004.3988[astro-ph.CO]

  • [177]

    B. Kocsis, Z. Frei, Z. Haiman, and K. Menou, Astrophys. J. 637, 27 (2006), arXiv: astro-ph/0505394

  • [178]

    A. Lewis and S. Bridle, Phys. Rev. D 66, 103511 (2002), arXiv: astro-ph/0205436

  • [179]

    https://www.et-gw.eu/index.php/etsensitivities/.

  • [180]

    https://cosmicexplorer.org/sensitivity.html.

  • [181]

    J.-P. Zhu, et al., Astrophys. J. 942, 88 (2023), arXiv: 2110.10469[astro-ph.HE]