• [1]

    J. Lesgourgues and S. Pastor, Phys. Rept., 429:307 (2006)

  • [2]

    K. A. Olive et al (Particle Data Group), Chin. Phys. C, 38:090001 (2014)

  • [3]

    A. Osipowicz et al (KATRIN Collaboration), hep-ex/0109033

  • [4]

    C. Kraus et al, Eur. Phys. J. C, 40:447 (2005)

  • [5]

    E. W. Otten and C. Weinheimer, Rept. Prog. Phys., 71:086201 (2008)

  • [6]

    J. Wolf (KATRIN Collaboration), Nucl. Instrum. Meth. A, 623:442 (2010)

  • [7]

    H. V. Klapdor-Kleingrothaus and U. Sarkar, Mod. Phys. Lett. A, 16:2469 (2001)

  • [8]

    H. V. Klapdor-Kleingrothaus, I. V. Krivosheina, A. Dietz, and O. Chkvorets, Phys. Lett. B, 586:198 (2004)

  • [9]

    S. Betts et al, arXiv:1307.4738[astro-ph.IM]

  • [10]

    J. Zhang and S. Zhou, Nucl. Phys. B, 903:211 (2016)

  • [11]

    G. Y. Huang and S. Zhou, Phys. Rev. D, 94(11):116009 (2016)

  • [12]

    J. Zhang and X. Zhang, Nature Commun., 9:1833 (2018)

  • [13]

    M. M. Zhao, Y. H. Li, J. F. Zhang, and X. Zhang, Mon. Not. Roy. Astron. Soc., 469(2):1713 (2017)

  • [14]

    X. Zhang, Phys. Rev. D, 93(8):083011 (2016)

  • [15]

    W. Hu, D. J. Eisenstein, and M. Tegmark, Phys. Rev. Lett., 80:5255 (1998)

  • [16]

    B. A. Reid, L. Verde, R. Jimenez, and O. Mena, JCAP, 1001:003 (2010)

  • [17]

    S. A. Thomas, F. B. Abdalla, and O. Lahav, Phys. Rev. Lett., 105:031301 (2010)

  • [18]

    C. Carbone, L. Verde, Y. Wang, and A. Cimatti, JCAP, 1103:030 (2011)

  • [19]

    H. Li and X. Zhang, Phys. Lett. B, 713:160 (2012)

  • [20]

    Y. H. Li, S. Wang, X. D. Li, and X. Zhang, JCAP, 1302:033 (2013)

  • [21]

    B. Audren, J. Lesgourgues, S. Bird, M. G. Haehnelt, and M. Viel, JCAP, 1301:026 (2013)

  • [22]

    S. Riemer-Srensen, D. Parkinson, and T. M. Davis, Phys. Rev. D, 89:103505 (2014)

  • [23]

    A. Font-Ribera, P. McDonald, N. Mostek, B. A. Reid, H. J. Seo, and A. Slosar, JCAP, 1405:023 (2014)

  • [24]

    J. F. Zhang, Y. H. Li, and X. Zhang, Phys. Lett. B, 740:359 (2015)

  • [25]

    J. F. Zhang, Y. H. Li, and X. Zhang, Eur. Phys. J. C, 74:2954 (2014)

  • [26]

    J. F. Zhang, J. J. Geng, and X. Zhang, JCAP, 1410:no. 10,044 (2014)

  • [27]

    N. Palanque-Delabrouille et al, JCAP, 1502(2):045 (2015)

  • [28]

    C. Q. Geng, C. C. Lee, and J. L. Shen, Phys. Lett. B, 740:285 (2015)

  • [29]

    Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Lett. B, 744:213 (2015)

  • [30]

    P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13 (2016)

  • [31]

    J. F. Zhang, M. M. Zhao, Y. H. Li, and X. Zhang, JCAP, 1504:038 (2015)

  • [32]

    C. Q. Geng, C. C. Lee, R. Myrzakulov, M. Sami, and E. N. Saridakis, JCAP, 1601(01):049 (2016)

  • [33]

    Y. Chen and L. Xu, Phys. Lett. B, 752:66 (2016)

  • [34]

    R. Allison, P. Caucal, E. Calabrese, J. Dunkley, and T. Louis, Phys. Rev. D, 92:no. 12, 123535 (2015)

  • [35]

    A. J. Cuesta, V. Niro, and L. Verde, Phys. Dark Univ., 13:77 (2016)

  • [36]

    Y. Chen, B. Ratra, M. Biesiada, S. Li, and Z. H. Zhu, Astrophys. J., 829(2):61 (2016)

  • [37]

    M. Moresco, R. Jimenez, L. Verde, A. Cimatti, L. Pozzetti, C. Maraston, and D. Thomas, JCAP, 1612(12):039 (2016)

  • [38]

    J. Lu, M. Liu, Y. Wu, Y. Wang, and W. Yang, Eur. Phys. J. C, 76(12):679 (2016)

  • [39]

    S. Kumar and R. C. Nunes, Phys. Rev. D, 94(12):123511 (2016)

  • [40]

    L. Xu and Q. G. Huang, Sci. China Phys. Mech. Astron., 61(3):039521 (2018)

  • [41]

    S. Vagnozzi, E. Giusarma, O. Mena, K. Freese, M. Gerbino, S. Ho, and M. Lattanzi, Phys. Rev. D, 96(12):123503 (2017)

  • [42]

    X. Zhang, Sci. China Phys. Mech. Astron., 60(6):060431 (2017)

  • [43]

    C. S. Lorenz, E. Calabrese, and D. Alonso, Phys. Rev. D, 96(4):043510 (2017)

  • [44]

    M. M. Zhao, J. F. Zhang, and X. Zhang, Phys. Lett. B, 779:473 (2018)

  • [45]

    S. Vagnozzi, S. Dhawan, M. Gerbino, K. Freese, A. Goobar, and O. Mena, arXiv:1801.08553[astro-ph.CO]

  • [46]

    L. F. Wang, X. N. Zhang, J. F. Zhang, and X. Zhang, Phys. Lett. B, 782:87 (2018)

  • [47]

    Q. G. Huang, K. Wang, and S. Wang, Eur. Phys. J. C, 76(9):489 (2016)

  • [48]

    S. Wang, Y. F. Wang, D. M. Xia, and X. Zhang, Phys. Rev. D, 94(8):083519 (2016)

  • [49]

    W. Yang, R. C. Nunes, S. Pan, and D. F. Mota, Phys. Rev. D, 95(10):103522 (2017)

  • [50]

    R. Y. Guo, Y. H. Li, J. F. Zhang, and X. Zhang, JCAP, 1705(05):040 (2017)

  • [51]

    L. Amendola, Phys. Rev. D, 62:043511 (2000)

  • [52]

    L. Amendola and D. Tocchini-Valentini, Phys. Rev. D, 66:043528 (2002)

  • [53]

    D. Comelli, M. Pietroni, and A. Riotto, Phys. Lett. B, 571:115 (2003)

  • [54]

    R. G. Cai and A. Wang, JCAP, 0503:002 (2005)

  • [55]

    X. Zhang, Mod. Phys. Lett. A, 20:2575 (2005)

  • [56]

    W. Zimdahl, Int. J. Mod. Phys. D, 14:2319 (2005)

  • [57]

    X. Zhang, F. Q. Wu, and J. Zhang, JCAP, 0601:003 (2006)

  • [58]

    B. Wang, J. Zang, C. Y. Lin, E. Abdalla, and S. Micheletti, Nucl. Phys. B, 778:69 (2007)

  • [59]

    Z. K. Guo, N. Ohta, and S. Tsujikawa, Phys. Rev. D, 76:023508 (2007)

  • [60]

    O. Bertolami, F. Gil Pedro, and M. Le Delliou, Phys. Lett. B, 654:165 (2007)

  • [61]

    J. Zhang, H. Liu, and X. Zhang, Phys. Lett. B, 659:26 (2008)

  • [62]

    C. G. Boehmer, G. Caldera-Cabral, R. Lazkoz, and R. Maartens, Phys. Rev. D, 78:023505 (2008)

  • [63]

    J. Valiviita, E. Majerotto, and R. Maartens, JCAP, 0807:020 (2008)

  • [64]

    J. H. He and B. Wang, JCAP, 0806:010 (2008)

  • [65]

    J. H. He, B. Wang, and Y. P. Jing, JCAP, 0907:030 (2009)

  • [66]

    J. H. He, B. Wang, and P. Zhang, Phys. Rev. D, 80:063530 (2009)

  • [67]

    K. Koyama, R. Maartens, and Y. S. Song, JCAP, 0910:017 (2009)

  • [68]

    J. Q. Xia, Phys. Rev. D, 80:103514 (2009)

  • [69]

    M. Li, X. D. Li, S. Wang, Y. Wang, and X. Zhang, JCAP,0912:014 (2009)

  • [70]

    L. Zhang, J. Cui, J. Zhang, and X. Zhang, Int. J. Mod. Phys. D, 19:21 (2010)

  • [71]

    H. Wei, Commun. Theor. Phys., 56:972 (2011)

  • [72]

    Y. Li, J. Ma, J. Cui, Z. Wang, and X. Zhang, Sci. China Phys. Mech. Astron., 54:1367 (2011)

  • [73]

    J. H. He, B. Wang, and E. Abdalla, Phys. Rev. D, 83:063515 (2011)

  • [74]

    Y. H. Li and X. Zhang, Eur. Phys. J. C, 71:1700 (2011)

  • [75]

    T. F. Fu, J. F. Zhang, J. Q. Chen, and X. Zhang, Eur. Phys. J. C, 72:1932 (2012)

  • [76]

    Z. Zhang, S. Li, X. D. Li, X. Zhang, and M. Li, JCAP, 1206:009 (2012)

  • [77]

    J. Zhang, L. Zhao, and X. Zhang, Sci. China Phys. Mech. Astron., 57:387 (2014)

  • [78]

    Y. H. Li and X. Zhang, Phys. Rev. D, 89(8):083009 (2014)

  • [79]

    J. J. Geng, Y. H. Li, J. F. Zhang, and X. Zhang, Eur. Phys. J. C, 75(8):356 (2015)

  • [80]

    J. L. Cui, L. Yin, L. F. Wang, Y. H. Li, and X. Zhang, JCAP, 1509(09):024 (2015)

  • [81]

    R. Murgia, S. Gariazzo, and N. Fornengo, JCAP, 1604:no. 04, 014 (2016)

  • [82]

    J. Sol U, A. Gmez-Valent, and J. de Cruz Prez, Astrophys. J., 836(1):43 (2017)

  • [83]

    B. Wang, E. Abdalla, F. Atrio-Barandela, and D. Pavon, Rept. Prog. Phys., 79(9):096901 (2016)

  • [84]

    A. Pourtsidou and T. Tram, Phys. Rev. D, 94(4):043518 (2016)

  • [85]

    A. A. Costa, X. D. Xu, B. Wang, and E. Abdalla, JCAP, 1701(01):028 (2017)

  • [86]

    J. Sola, J. de Cruz PWrez, A. Gomez-Valent, and R. C. Nunes, arXiv:1606.00450[gr-qc]

  • [87]

    L. Feng and X. Zhang, JCAP, 1608(08):072 (2016)

  • [88]

    D. M. Xia and S. Wang, Mon. Not. Roy. Astron. Soc., 463:952 (2016)

  • [89]

    C. van de Bruck, J. Mifsud, and J. Morrice, Phys. Rev. D, 95(4):043513 (2017)

  • [90]

    J. Sola, Int. J. Mod. Phys. A, 31(23):1630035 (2016)

  • [91]

    S. Kumar and R. C. Nunes, Phys. Rev. D, 96(10):103511 (2017)

  • [92]

    J. Sola, J. d. C. Perez, and A. Gomez-Valent, arXiv:1703.08218[astro-ph.CO]

  • [93]

    V. Salvatelli, N. Said, M. Bruni, A. Melchiorri, and D. Wands, Phys. Rev. Lett., 113(18):181301 (2014)

  • [94]

    L. Feng, J. F. Zhang, and X. Zhang, arXiv:1712.03148[astroph.CO]

  • [95]

    A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden and M. Manera, Mon. Not. Roy. Astron. Soc., 449(1):835 (2015)

  • [96]

    F. Beutler et al, Mon. Not. Roy. Astron. Soc., 416:3017 (2011)

  • [97]

    L. Anderson et al (BOSS Collaboration), Mon. Not. Roy. Astron. Soc., 441(1):24 (2014)

  • [98]

    M. Betoule et al (SDSS Collaboration), Astron. Astrophys., 568:A22 (2014)

  • [99]

    A. G. Riess et al, Astrophys. J., 826(1):56 (2016)

  • [100]

    H. Gil-Mar[n, W. J. Percival, L. Verde, J. R. Brownstein, C. H. Chuang, F. S. Kitaura, S. A. Rodr[guez-Torres, and M. D. Olmstead, Mon. Not. Roy. Astron. Soc., 465(2):1757 (2017)

  • [101]

    E. Di Valentino and F. R. Bouchet, JCAP, 1610(10):011 (2016)

  • [102]

    X. Zhang, Sci. China Phys. Mech. Astron., 60(6):060421 (2017)

  • [103]

    M. Benetti, L. L. Graef, and J. S. Alcaniz, JCAP, 1704(04):003 (2017)

  • [104]

    R. Y. Guo and X. Zhang, Eur. Phys. J. C, 77(12):882 (2017)

  • [105]

    R. Y. Guo, L. Zhang, J. F. Zhang, and X. Zhang, arXiv:1801.02187[astro-ph.CO]

  • [106]

    P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A14 (2016)

  • [107]

    Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 90(6):063005 (2014)

  • [108]

    Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 90(12):123007 (2014)

  • [109]

    Y. H. Li, J. F. Zhang, and X. Zhang, Phys. Rev. D, 93(2):023002 (2016)

  • [110]

    X. Zhang, Sci. China Phys. Mech. Astron., 60(5):050431 (2017)

  • [111]

    A. Lewis and S. Bridle, Phys. Rev. D, 66:103511 (2002)