\begin{document}$ 0.5\% $\end{document} precision. Moreover, PTA+Taiji+CE could break the cosmological parameter degeneracies generated by CMB, especially in the dynamical dark energy models. When combining the PTA+Taiji+CE data with the CMB data, the constraint precisions of \begin{document}$\Omega_\rm{m}$\end{document} and \begin{document}$ H_0 $\end{document} are \begin{document}$ 1.0\% $\end{document} and \begin{document}$ 0.3\% $\end{document}, respectively, meeting the standard of precision cosmology. The joint CMB+PTA+Taiji+CE data give \begin{document}$ \sigma(w)=0.028 $\end{document} in the wCDM model and \begin{document}$ \sigma(w_0)=0.11 $\end{document} and \begin{document}$ \sigma(w_a)=0.32 $\end{document} in the \begin{document}$ w_0w_a $\end{document}CDM model, which are comparable with or close to the latest constraint results by CMB+BAO+SN. In conclusion, the future multi-band GW observations are expected to be used for exploring the nature of dark energy and measuring the Hubble constant."> Joint constraints on cosmological parameters using future multi-band gravitational wave standard siren observations -
  • [1]

    D. N. Spergelet al. (WMAP Collaboration), Astrophys. J. Suppl.148, 175 (2003), arXiv:astro-ph/0302209

  • [2]

    C. L. Bennettet al. (WMAP Collaboration), Astrophys. J. Suppl.148, 1 (2003), arXiv:astro-ph/0302207

  • [3]

    N. Aghanimet al. (Planck Collaboration), Astron. Astrophys.641, A6 (2018), arXiv:1807.06209[astro-ph.CO

  • [4]

    A. G. Riesset al., Astrophys. J. Lett.934, L7 (2022), arXiv:2112.04510[astro-ph.CO

  • [5]

    A. G. Riess, Nature Rev. Phys.2, 10 (2019), arXiv:2001.03624[astro-ph.CO

  • [6]

    L. Verde, T. Treu, and A. G. Riess, Nature Astron.3, 891 (2019), arXiv:1907.10625[astro-ph.CO

  • [7]

    R.-Y. Guo, J.-F. Zhang, and X. Zhang, JCAP02, 054 (2019), arXiv:1809.02340[astro-ph.CO

  • [8]

    L. Perivolaropoulos and F. Skara, New Astron. Rev.95, 101659 (2022), arXiv:2105.05208[astro-ph.CO

  • [9]

    L.-Y. Gao, Z.-W. Zhao, S.-S. Xueet al., JCAP07, 005 (2021), arXiv:2101.10714[astro-ph.CO

  • [10]

    E. Di Valentino, O. Mena, S. Panet al., Class. Quant. Grav.38, 153001 (2021), arXiv:2103.01183[astro-ph.CO

  • [11]

    E. Abdallaet al., JHEAp34, 49 (2022), arXiv:2203.06142[astro-ph.CO

  • [12]

    R.-G. Cai, Z.-K. Guo, L. Liet al., Phys. Rev. D103, 121302 (2021), arXiv:2102.02020[astro-ph.CO

  • [13]

    W. Yang, S. Pan, E. Di Valentinoet al., JCAP09, 019 (2018), arXiv:1805.08252[astro-ph.CO

  • [14]

    E. Di Valentinoet al., Astropart. Phys.131, 102605 (2021), arXiv:2008.11284[astro-ph.CO

  • [15]

    E. Di Valentino, A. Melchiorri, O. Menaet al., Phys. Rev. D101, 063502 (2020), arXiv:1910.09853[astro-ph.CO

  • [16]

    E. Di Valentino, A. Melchiorri, O. Menaet al., Phys. Dark Univ.30, 100666 (2020), arXiv:1908.04281[astro-ph.CO

  • [17]

    M. Liu, Z. Huang, X. Luoet al., Sci. China Phys. Mech. Astron.63, 290405 (2020), arXiv:1912.00190[astro-ph.CO

  • [18]

    X. Zhang and Q.-G. Huang, Sci. China Phys. Mech. Astron.63, 290402 (2020), arXiv:1911.09439[astroph.CO

  • [19]

    Q. Ding, T. Nakama, and Y. Wang, Sci. China Phys. Mech. Astron.63, 290403 (2020), arXiv:1912.12600[astro-ph.CO

  • [20]

    H. Li and X. Zhang, Sci. Bull.65, 1419 (2020), arXiv:2005.10458[astro-ph.CO

  • [21]

    L.-F. Wang, J.-H. Zhang, D.-Z. Heet al., Mon. Not. Roy. Astron. Soc.514, 1433 (2022), arXiv:2102.09331[astro-ph.CO

  • [22]

    S. Vagnozzi, F. Pacucci, and A. Loeb, JHEAp36, 27 (2022), arXiv:2105.10421[astro-ph.CO

  • [23]

    S. Vagnozzi, Phys. Rev. D104, 063524 (2021), arXiv:2105.10425[astro-ph.CO

  • [24]

    S. Vagnozzi, Phys. Rev. D102, 023518 (2020), arXiv:1907.07569[astro-ph.CO

  • [25]

    R.-Y. Guo, J.-F. Zhang, and X. Zhang, Sci. China Phys. Mech. Astron.63, 290406 (2020), arXiv:1910.13944[astro-ph.CO

  • [26]

    L. Feng, D.-Z. He, H.-L. Liet al., Sci. China Phys. Mech. Astron.63, 290404 (2020), arXiv:1910.03872[astro-ph.CO

  • [27]

    M.-X. Lin, W. Hu, and M. Raveri, Phys. Rev. D102, 123523 (2020), arXiv:2009.08974[astro-ph.CO

  • [28]

    L.-Y. Gao, S.-S. Xue, and X. Zhang, arXiv e-prints, arXiv:2212.13146

  • [29]

    Z.-W. Zhao, J.-G. Zhang, Y. Liet al., arXiv:2212.13433

  • [30]

    L. Liu, X.-Y. Yang, Z.-K. Guoet al., JCAP01, 006 (2023), arXiv:2112.05473[astro-ph.CO

  • [31]

    B. F. Schutz, Nature323, 310 (1986)

  • [32]

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

  • [33]

    N. Dalal, D. E. Holz, S. A. Hugheset al., Phys. Rev. D74, 063006 (2006), arXiv:astro-ph/0601275

  • [34]

    S. Nissanke, D. E. Holz, S. A. Hugheset al., Astrophys. J.725, 496 (2010), arXiv:0904.1017[astro-ph.CO

  • [35]

    C. Cutler and D. E. Holz, Phys. Rev. D80, 104009 (2009), arXiv:0906.3752[astro-ph.CO

  • [36]

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

  • [37]

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

  • [38]

    L. Bianet al., Sci. China Phys. Mech. Astron.64, 120401 (2021), arXiv:2106.10235[gr-qc

  • [39]

    R.-G. Cai and T. Yang, Phys. Rev. D95, 044024 (2017), arXiv:1608.08008[astro-ph.CO

  • [40]

    R.-G. Cai, T.-B. Liu, X.-W. Liuet al., Phys. Rev. D97, 103005 (2018), arXiv:1712.00952[astro-ph.CO

  • [41]

    R.-G. Cai and T. Yang, EPJ Web Conf.168, 01008 (2018), arXiv:1709.00837[astro-ph.CO

  • [42]

    X. Zhang, Sci. China Phys. Mech. Astron.62, 110431 (2019), arXiv:1905.11122[astro-ph.CO

  • [43]

    H.-Y. Chen, Phys. Rev. Lett.125, 201301 (2020), arXiv:2006.02779[astro-ph.HE

  • [44]

    R. Grayet al., Phys. Rev. D101, 122001 (2020), arXiv:1908.06050[gr-qc

  • [45]

    W. Zhao, C. Van Den Broeck, D. Baskaranet al., Phys. Rev. D83, 023005 (2011), arXiv:1009.0206[astro-ph.CO

  • [46]

    W. Zhao, B. S. Wright, and B. Li, JCAP10, 052 (2018), arXiv:1804.03066[astro-ph.CO

  • [47]

    M. Du, W. Yang, L. Xuet al., Phys. Rev. D100, 043535 (2019), arXiv:1812.01440[astroph.CO

  • [48]

    Y.-F. Cai, C. Li, E. N. Saridakiset al., Phys. Rev. D97, 103513 (2018), arXiv:1801.05827[gr-qc

  • [49]

    W. Yang, S. Pan, E. Di Valentinoet al., JCAP05, 050 (2020), arXiv:1904.11980[astro-ph.CO

  • [50]

    W. Yang, S. Vagnozzi, E. Di Valentinoet al., JCAP07, 037 (2019), arXiv:1905.08286[astro-ph.CO

  • [51]

    R. R. A. Bachega, A. A. Costa, E. Abdallaet al., JCAP05, 021 (2020), arXiv:1906.08909[astro-ph.CO

  • [52]

    Z. Chang, Q.-G. Huang, S. Wanget al., Eur. Phys. J. C79, 177 (2019)

  • [53]

    J.-F. Zhang, M. Zhang, S.-J. Jinet al., JCAP09, 068 (2019), arXiv:1907.03238[astro-ph.CO

  • [54]

    S. Mukherjee, G. Lavaux, F. R. Bouchetet al., Astron. Astrophys.646, A65 (2021), arXiv:1909.08627[astro-ph.CO

  • [55]

    J.-h. He, Phys. Rev. D100, 023527 (2019), arXiv:1903.11254[astro-ph.CO

  • [56]

    Z.-W. Zhao, L.-F. Wang, J.-F. Zhanget al., Sci. Bull.65, 1340 (2020), arXiv:1912.11629[astroph.CO

  • [57]

    L.-F. Wang, S.-J. Jin, J.-F. Zhanget al., Sci. China Phys. Mech. Astron.65, 210411 (2022), arXiv:2101.11882[gr-qc

  • [58]

    J.-Z. Qi, S.-J. Jin, X.-L. Fanet al., JCAP12, 042 (2021), arXiv:2102.01292[astro-ph.CO

  • [59]

    S.-J. Jin, L.-F. Wang, P.-J. Wuet al., Phys. Rev. D104, 103507 (2021), arXiv:2106.01859[astro-ph.CO

  • [60]

    L.-G. Zhu, L.-H. Xie, Y.-M. Huet al., Sci. China Phys. Mech. Astron.65, 259811 (2022), arXiv:2110.05224[astro-ph.CO

  • [61]

    J. M. S. de Souza, R. Sturani, and J. Alcaniz, JCAP03, 025 (2022), arXiv:2110.13316[gr-qc

  • [62]

    L.-F. Wang, Y. Shao, G.-P. Zhanget al., arXiv:2201.00607

  • [63]

    P.-J. Wu, Y. Shao, S.-J. Jinet al., arXiv:2202.09726

  • [64]

    S.-J. Jin, R.-Q. Zhu, L.-F. Wanget al., Commun. Theor. Phys.74, 105404 (2022), arXiv:2204.04689[astro-ph.CO

  • [65]

    W.-T. Hou, J.-Z. Qi, T. Han et al, arXiv:2211.10087

  • [66]

    M. Califano, I. de Martino, D. Vernieri et al arXiv:2208.13999

  • [67]

    Y.-J. Wang, J.-Z. Qi, B. Wanget al., Mon. Not. Roy. Astron. Soc.516, 5187 (2022), arXiv:2201.12553[astro-ph.CO

  • [68]

    A. Dhani, S. Borhanian, A. Guptaet al., arXiv:2212.13183

  • [69]

    E. Ó. Colgáin, arXiv:2203.03956

  • [70]

    J.-Y. Song, L.-F. Wang, Y. Liet al., arXiv:2212.0053

  • [71]

    M.-D. Cao, J. Zheng, J.-Z. Qiet al., Astrophys. J.934, 108 (2022), arXiv:2112.14564[astro-ph.CO

  • [72]

    H. Leandro, V. Marra, and R. Sturani, Phys. Rev. D105, 023523 (2022), arXiv:2109.07537[gr-qc

  • [73]

    X. Fu, L. Zhou, J. Yanget al., Chin. Phys. C45, 065104 (2021)

  • [74]

    C. Ye and M. Fishbach, Phys. Rev. D104, 043507 (2021), arXiv:2103.14038[astro-ph.CO

  • [75]

    H.-Y. Chen, P. S. Cowperthwaite, B. D. Metzgeret al., Astrophys. J. Lett.908, L4 (2021), arXiv:2011.01211[astro-ph.CO

  • [76]

    A. Mitra, J. Mifsud, D. F. Motaet al., Mon. Not. Roy. Astron. Soc.502, 5563 (2021), arXiv:2010.00189[astro-ph.CO

  • [77]

    N. B. Hogg, M. Martinelli, and S. Nesseris, JCAP12, 019 (2020), arXiv:2007.14335[astro-ph.CO

  • [78]

    R. C. Nunes, Phys. Rev. D102, 024071 (2020), arXiv:2007.07750[gr-qc

  • [79]

    S. Borhanian, A. Dhani, A. Guptaet al., Astrophys. J. Lett.905, L28 (2020), arXiv:2007.02883[astro-ph.CO

  • [80]

    S.-J. Jin, T.-N. Li, J.-F. Zhanget al., arXiv:2202.11882

  • [81]

    S.-J. Jin, D.-Z. He, Y. Xuet al., JCAP03, 051 (2020), arXiv:2001.05393[astro-ph.CO

  • [82]

    T. Ghosh, B. Biswas, and S. Bose, Phys. Rev. D106, 123529 (2022), arXiv:2203.11756[astro-ph.CO

  • [83]

    J. Yu, Y. Wang, W. Zhaoet al., Mon. Not. Roy. Astron. Soc.498, 1786 (2020), arXiv:2003.06586[astroph.CO

  • [84]

    B. Wang, Z. Zhu, A. Liet al., Astrophys. J. Suppl.250, 6 (2020), arXiv:2005.12875[gr-qc

  • [85]

    M. Kramer and D. J. Champion, Class. Quant. Grav.30, 224009 (2013)

  • [86]

    M. A. McLaughlin, Class. Quant. Grav.30, 224008 (2013), arXiv:1310.0758[astro-ph.IM

  • [87]

    G. Hobbs, Class. Quant. Grav.30, 224007 (2013), arXiv:1307.2629[astro-ph.IM

  • [88]

    R. Smits, M. Kramer, B. Stapperset al., Astron. Astrophys.493, 1161 (2009), arXiv:0811.0211[astro-ph

  • [89]

    C. Yan, W. Zhao, and Y. Lu, Astrophys. J.889, 79 (2020), arXiv:1912.04103[astro-ph.GA

  • [90]

    Y.-L. Wu, Int. J. Mod. Phys. A33, 1844014 (2018), arXiv:1805.10119[physics.gen-ph

  • [91]

    W.-H. Ruan, Z.-K. Guo, R.-G. Caiet al., Int. J. Mod. Phys. A35, 2050075 (2020), arXiv:1807.09495[gr-qc

  • [92]

    W.-R. Hu and Y.-L. Wu, Natl. Sci. Rev.4, 685 (2017)

  • [93]

    J. Luoet al., Class. Quant. Grav.37, 185013 (2020), arXiv:2008.09534[physics.ins-det

  • [94]

    V. K. Milyukov, Astron. Rep.64, 1067 (2020)

  • [95]

    J. Meiet al. (TianQin Collaboration), PTEP2021, 05A107 (2021), arXiv:2008.10332[gr-qc

  • [96]

    P. Amaro-Seoaneet al. (LISA Collaboration), arXiv:1702.00786

  • [97]

    P. Auclairet al. (LISA Cosmology Working Group), arXiv:2204.05434

  • [98]

    C. Palenzuela, L. Lehner, and S. L. Liebling, Science329, 927 (2010), arXiv:1005.1067[astro-ph.HE

  • [99]

    R. O’Shaughnessy, D. L. Kaplan, A. Sesanaet al., Astrophys. J.743, 136 (2011), arXiv:1109.1050[astro-ph.CO

  • [100]

    P. Moesta, D. Alic, L. Rezzollaet al., Astrophys. J. Lett.749, L32 (2012), arXiv:1109.1177[gr-qc

  • [101]

    D. L. Kaplan, R. O’Shaughnessy, A. Sesanaet al., Astrophys. J. Lett.734, L37 (2011), arXiv:1105.3653[astro-ph.HE

  • [102]

    J.-M. Shi, J. H. Krolik, S. H. Lubowet al., Astrophys. J.749, 118 (2012), arXiv:1110.4866[astroph.HE

  • [103]

    R. D. Blandford and R. L. Znajek, Mon. Not. Roy. Astron. Soc.179, 433 (1977)

  • [104]

    D. L. Meier, Astrophys. J. Lett.548, L9 (2001), arXiv:astro-ph/0010231

  • [105]

    M. Dotti, A. Sesana, and R. Decarli, Adv. Astron.2012, 940568 (2012), arXiv:1111.0664[astro-ph.CO

  • [106]

    L.-F. Wang, Z.-W. Zhao, J.-F. Zhanget al., JCAP11, 012 (2020), arXiv:1907.01838[astro-ph.CO

  • [107]

    L.-G. Zhu, Y.-M. Hu, H.-T. Wanget al., Phys. Rev. Res.4, 013247 (2022), arXiv:2104.11956[astro-ph.CO

  • [108]

    A. Mangiagli, C. Caprini, M. Volonteriet al., PoS ICHEP2022, 125 (2022)

  • [109]

    N. Tamanini, J. Phys. Conf. Ser.840, 012029 (2017), arXiv:1612.02634[astro-ph.CO

  • [110]

    C. Caprini and N. Tamanini, JCAP10, 006 (2016), arXiv:1607.08755[astro-ph.CO

  • [111]

    B. P. Abbottet al. (LIGO Scientific, Virgo, 1M2H, Dark Energy Camera GW-E, DES, DLT40, Las Cumbres Observatory, VINROUGE, MASTER Collaboration), Nature551, 85 (2017), arXiv:1710.05835[astro-ph.CO

  • [112]

    H.-Y. Chen, M. Fishbach, and D. E. Holz, Nature562, 545 (2018), arXiv:1712.06531[astro-ph.CO

  • [113]

    R. Abbottet al. (LIGO Scientific, VIRGO, KAGRA Collaboration), arXiv:2111.03604

  • [114]

    M. Soares-Santoset al. (DES, LIGO Scientific, Virgo Collaboration), Astrophys. J. Lett.876, L7 (2019), arXiv:1901.01540[astro-ph.CO

  • [115]

    A. Palmeseet al. (DES Collaboration), Astrophys. J. Lett.900, L33 (2020), arXiv:2006.14961[astro-ph.CO

  • [116]

    B. P. Abbottet al., Astrophys. J.909, 218 (2021), arXiv:1908.06060[astroph.CO

  • [117]

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

  • [118]

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

  • [119]

    M. Evanset al., arXiv:2109.09882

  • [120]

    H. Wahlquist, Gen. Rel. Grav.19, 1101 (1987)

  • [121]

    J. A. Ellis, X. Siemens, and J. D. E. Creighton, Astrophys. J.756, 175 (2012), arXiv:1204.4218[astro-ph.IM

  • [122]

    M. J. Valtonenet al., Nature452, 851 (2008), arXiv:0809.1280[astro-ph

  • [123]

    M. J. Graham, S. G. Djorgovski, D. Sternet al., Nature518, 74 (2015), arXiv:1501.01375[astro-ph.GA

  • [124]

    M. J. Graham, S. G. Djorgovski, D. Sternet al., Mon. Not. Roy. Astron. Soc.453, 1562 (2015), arXiv:1507.07603[astro-ph.GA

  • [125]

    M. Charisi, I. Bartos, Z. Haimanet al., Mon. Not. Roy. Astron. Soc.463, 2145 (2016), arXiv:1604.01020[astro-ph.GA

  • [126]

    C.-S. Yan, Y. Lu, X. Daiet al., Astrophys. J.809, 117 (2015), arXiv:1508.06292[astro-ph.HE

  • [127]

    Y.-R. Liet al., Astrophys. J.822, 4 (2016), arXiv:1602.05005[astro-ph.GA

  • [128]

    Z.-Y. Zheng, N. R. Butler, Y. Shenet al., Astrophys. J.827, 56 (2016), arXiv:1512.08730[astro-ph.HE

  • [129]

    Y.-R. Liet al., Astrophys. J. Suppl.241, 33 (2019), arXiv:1705.07781[astro-ph.HE

  • [130]

    N. Tamanini, C. Caprini, E. Barausseet al., JCAP04, 002 (2016), arXiv:1601.07112[astro-ph.CO

  • [131]

    L. Speri, N. Tamanini, R. R. Caldwellet al., Phys. Rev. D103, 083526 (2021), arXiv:2010.09049[astro-ph.CO

  • [132]

    C. M. Hirata, D. E. Holz, and C. Cutler, Phys. Rev. D81, 124046 (2010), arXiv:1004.3988[astro-ph.CO

  • [133]

    N. K. Poraykoet al., Phys. Rev. D98, 102002 (2018), arXiv:1810.03227[astro-ph.CO

  • [134]

    W.-H. Ruan, C. Liu, Z.-K. Guoet al., Research2021, 6014164 (2021)

  • [135]

    A. Buonanno, B. Iyer, E. Ochsneret al., Phys. Rev. D80, 084043 (2009), arXiv:0907.0700[gr-qc

  • [136]

    A. Krolak, K. D. Kokkotas, and G. Schaefer, Phys. Rev. D52, 2089 (1995), arXiv:gr-qc/9503013

  • [137]

    W.-F. Feng, H.-T. Wang, X.-C. Huet al., Phys. Rev. D99, 123002 (2019), arXiv:1901.02159[astro-ph.IM

  • [138]

    B. Kocsis, Z. Frei, Z. Haimanet al., Astrophys. J.637, 27 (2006), arXiv:astro-ph/0505394

  • [139]

    K. S. Dawsonet al., Astron. J.151, 44 (2016), arXiv:1508.04473[astro-ph.CO

  • [140]

    L. Amendolaet al., Living Rev. Rel.21, 2 (2018), arXiv:1606.00180[astro-ph.CO

  • [141]

    T. Dahlenet al., Astrophys. J.775, 93 (2013), arXiv:1308.5353[astro-ph.CO

  • [142]

    O. Ilbertet al., Astron. Astrophys.556, A55 (2013), arXiv:1301.3157[astro-ph.CO

  • [143]

    T. Yang, JCAP05, 044 (2021), arXiv:2103.01923[astroph.CO

  • [144]

    A. Mangiagli, C. Caprini, M. Volonteriet al., Phys. Rev. D106, 103017 (2022), arXiv:2207.10678[astro-ph.HE

  • [145]

    A. Kleinet al., Phys. Rev. D93, 024003 (2016), arXiv:1511.05581[gr-qc

  • [146]

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

  • [147]

    J. Yu, H. Song, S. Aiet al., Astrophys. J.916, 54 (2021), arXiv:2104.12374[astro-ph.HE

  • [148]

    W. Benbowet al. (VERITAS Collaboration), Astrophys. J.916, 117 (2021), arXiv:2105.13911[astro-ph.HE

  • [149]

    L. Rezzolla, B. Giacomazzo, L. Baiottiet al., Astrophys. J. Lett.732, L6 (2011), arXiv:1101.4298[astro-ph.HE

  • [150]

    A. Lewis and S. Bridle, Phys. Rev. D66, 103511 (2002), arXiv:astro-ph/0205436

  • [151]

    L. Chen, Q.-G. Huang, and K. Wang, JCAP02, 028 (2019), arXiv:1808.05724[astro-ph.CO

  • [152]

    D. Broutet al., Astrophys. J.938, 110 (2022), arXiv:2202.04077[astro-ph.CO

  • [153]

    C. Cahillaneet al. (LIGO Scientific Collaboration), Phys. Rev. D96, 102001 (2017), arXiv:1708.03023[astro-ph.IM

  • [154]

    B. P. Abbottet al. (LIGO Scientific, Virgo Collaboration), Class. Quant. Grav.37, 055002 (2020), arXiv:1908.11170[grqc

  • [155]

    Y. Huang, H.-Y. Chen, C.-J. Hasteret al., arXiv:2204.03614

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