• [1]

    K. Choi, S. H. Im, and C. Sub Shin, Ann. Rev. Nucl. Part. Sci. 71, 225 (2021), arXiv:2012.05029

  • [2]

    I. G. Irastorza and J. Redondo, Prog. Part. Nucl. Phys. 102, 89 (2018), arXiv:1801.08127

  • [3]

    A. De Angelis, O. Mansutti, and M. Roncadelli, Physics Letters B 659, 847 (2008)

  • [4]

    P. W. Graham, I. G. Irastorza, S. K. Lamoreaux et al., Ann. Rev. Nucl. Part. Sci. 65, 485 (2015), arXiv:1602.00039

  • [5]

    R. D. Peccei and H. R. Quinn, Phys. Rev. D 16, 1791 (1977)

  • [6]

    R. D. Peccei, Lect. Notes Phys. 741, 3 (2008), arXiv:hep-ph/0607268

  • [7]

    S. Weinberg, Phys. Rev. Lett. 40, 223 (1978)

  • [8]

    F. Wilczek, Phys. Rev. Lett. 40, 279 (1978)

  • [9]

    G. Raffelt and L. Stodolsky, Phys. Rev. D 37, 1237 (1988)

  • [10]

    A. De Angelis, M. Roncadelli, and O. Mansutti, Phys. Rev. D 76, 121301 (2007), arXiv:0707.4312

  • [11]

    D. Hooper and P. D. Serpico, Phys. Rev. Lett. 99, 231102 (2007), arXiv:0706.3203

  • [12]

    M. Simet, D. Hooper, and P. D. Serpico, Phys. Rev. D 77, 063001 (2008), arXiv:0712.2825

  • [13]

    A. Mirizzi, G. G. Raffelt, and P. D. Serpico, Phys. Rev. D 76, 023001 (2007), arXiv:0704.3044

  • [14]

    A. Mirizzi and D. Montanino, JCAP 12, 004 (2009), arXiv:0911.0015

  • [15]

    A. V. Belikov, L. Goodenough, and D. Hooper, Phys. Rev. D 83, 063005 (2011), arXiv:1007.4862

  • [16]

    A. De Angelis, G. Galanti, and M. Roncadelli, Phys. Rev. D 2011 , 105030(2011), [Erratum: Phys. Rev. D 87, 109903 (2013)], arXiv: 1106.1132

  • [17]

    D. Horns, L. Maccione, M. Meyer et al., Phys. Rev. D 86, 075024 (2012), arXiv:1207.0776

  • [18]

    A. Abramowski et al., Phys. Rev. D 88, 102003 (2013), arXiv:1311.3148

  • [19]

    M. Meyer, D. Horns, and M. Raue, Phys. Rev. D 87, 035027 (2013), arXiv:1302.1208

  • [20]

    F. Tavecchio, M. Roncadelli, and G. Galanti, Phys. Lett. B 744, 375 (2015), arXiv:1406.2303

  • [21]

    M. Meyer, D. Montanino, and J. Conrad, JCAP 09, 003 (2014), arXiv:1406.5972

  • [22]

    M. Meyer and J. Conrad, JCAP 12, 016 (2014), arXiv:1410.1556

  • [23]

    M. Ajello et al., Phys. Rev. Lett. 116, 161101 (2016), arXiv:1603.06978

  • [24]

    M. Meyer, M. Giannotti, A. Mirizzi et al., Phys. Rev. Lett. 118, 011103 (2017), arXiv:1609.02350

  • [25]

    B. Berenji, J. Gaskins, and M. Meyer, Phys. Rev. D 93, 045019 (2016), arXiv:1602.00091

  • [26]

    G. Galanti, F. Tavecchio, M. Roncadelli et al., Mon. Not. Roy. Astron. Soc. 487, 123 (2019), arXiv:1811.03548

  • [27]

    G. Galanti and M. Roncadelli, JHEAp 20, 1 (2018), arXiv:1805.12055

  • [28]

    C. Zhang, Y.-F. Liang, S. Li et al., Phys. Rev. D 97, 063009 (2018), arXiv:1802.08420

  • [29]

    Y.-F. Liang, C. Zhang, Z.-Q. Xia et al., JCAP 06, 042 (2019), arXiv:1804.07186

  • [30]

    Z.-Q. Xia, C. Zhang, Y.-F. Liang et al., Phys. Rev. D 97, 063003 (2018), arXiv:1801.01646

  • [31]

    X.-J. Bi, Y. Gao, J. Guo et al., Phys. Rev. D 103, 043018 (2021), arXiv:2002.01796

  • [32]

    J. Guo, H.-J. Li, X.-J. Bi et al., Chin. Phys. C 45, 025105 (2021), arXiv:2002.07571

  • [33]

    H.-J. Li, J.-G. Guo, X.-J. Bi et al., Phys. Rev. D 103, 083003 (2021), arXiv:2008.09464

  • [34]

    H.-J. Li, X.-J. Bi, and P.-F. Yin, Chin. Phys. C 46, 085105 (2022), arXiv:2110.13636

  • [35]

    J.-G. Cheng, Y.-J. He, Y.-F. Liang et al., Phys. Lett. B 821, 136611 (2021), arXiv:2010.12396

  • [36]

    Y.-F. Liang, X.-F. Zhang, J.-G. Cheng et al., JCAP 11, 030 (2021), arXiv:2012.15513

  • [37]

    L.-Q. Gao, X.-J. Bi, J.-G. Guo et al., Phys. Rev. D 109, 063003 (2023)

  • [38]

    L.-Q. Gao, X.-J. Bi, J. Li et al., JCAP 01, 026 (2024)

  • [39]

    J. Majumdar, F. Calore, and D. Horns, JCAP 04, 048 (2018), arXiv:1801.08813

  • [40]

    Z.-Q. Xia, Y.-F. Liang, L. Feng et al., Phys. Rev. D 100, 123004 (2019), arXiv:1911.08096

  • [41]

    C. Eckner and F. Calore, Phys. Rev. D 106, 083020 (2022), arXiv:2204.12487

  • [42]

    G. Galanti, M. Roncadelli, F. Tavecchio et al., Phys. Rev. D 107, 103007 (2023), arXiv:2202.12286

  • [43]

    C. Dessert, D. Dunsky, and B. R. Safdi, Phys. Rev. D 105, 103034 (2022), arXiv:2203.04319

  • [44]

    J. S. Mathis, P. G. Mezger, and N. Panagia, Astron. Astrophys. 128, 212 (1983)

  • [45]

    I. V. Moskalenko, T. A. Porter, and A. W. Strong, Astrophys. J. Lett. 640, L155 (2006), arXiv:astro-ph/0511149

  • [46]

    T. A. Porter, I. V. Moskalenko, and A. W. Strong, The Astrophysical Journal 648, L29 (2006)

  • [47]

    V. Vavryčuk, Monthly Notices of the Royal Astronomical Society 478, 283 (2018)

  • [48]

    J. D. Finke, S. Razzaque, and C. D. Dermer, Astrophys. J. 712, 238 (2010), arXiv:0905.1115

  • [49]

    A. Cooray, arXiv: 1602.03512

  • [50]

    E. Dwek and F. Krennrich, Astropart. Phys. 43, 112 (2013), arXiv:1209.4661

  • [51]

    R. A. Bernstein, The Astrophysical Journal 666, 663 (2007)

  • [52]

    Z. Cao et al., Nature 594, 33 (2021)

  • [53]

    Z. Cao et al., Science 373, 425 (2021), arXiv:2111.06545

  • [54]

    F. Aharonian et al., Chin. Phys. C 45, 085002 (2021)

  • [55]

    S. C. Hu, G. M. Xiang, M. Zha, and Z. G. Yao, PoS ICRC2023, 655 (2023)

  • [56]

    M. Breuhaus, B. Reville, and J. A. Hinton, Astron. Astrophys. 660, A8 (2022), arXiv:2109.05296

  • [57]

    A. U. Abeysekara et al., Astrophys. J. 843, 40 (2017), arXiv:1702.02992

  • [58]

    K. Malone, arXiv: 1908.07059

  • [59]

    A. U. Abeysekara et al., Phys. Rev. Lett. 124, 021102 (2020), arXiv:1909.08609

  • [60]

    A. Albert et al., Astrophys. J. 911, 143 (2021), arXiv:2101.01649

  • [61]

    Z. Cao et al., Astrophys. J. Lett. 919, L22 (2021), arXiv:2106.09865

  • [62]

    X.-H. Ma et al., Chin. Phys. C 46, 030001 (2022)

  • [63]

    T. Junk, Nucl. Instrum. Meth. A 434, 435 (1999), arXiv:hepex/9902006

  • [64]

    A. L. Read, J. Phys. G 28, 2693 (2002)

  • [65]

    A. U. Abeysekara et al., Astrophys. J. 881, 134 (2019), arXiv:1905.12518

  • [66]

    M. Amenomori et al., Phys. Rev. Lett. 123, 051101 (2019), arXiv:1906.05521

  • [67]

    F. Aharonian, et al., Astrophys. J. 614, 897 (2004), arXiv:astro-ph/0407118

  • [68]

    J. Sitarek, E. Carmona, P. Colin et al., arXiv: 1508.04575 [astro-ph.IM]

  • [69]

    F. Aharonian et al., Astron. Astrophys. 457, 899 (2006), arXiv:astro-ph/0607333

  • [70]

    K. Meagher, arXiv: 1508.06442

  • [71]

    Z. Cao, et al (LHAASO Collaboration), arXiv: 2401.01038

  • [72]

    A. Esmaili and P. D. Serpico, JCAP 10, 014 (2015), arXiv:1505.06486

  • [73]

    T. A. Porter, G. P. Rowell, G. Jóhannesson et al., Phys. Rev. D 98, 041302 (2018), arXiv:1808.07596

  • [74]

    S. Vernetto and P. Lipari, Phys. Rev. D 94, 063009 (2016), arXiv:1608.01587

  • [75]

    V. Canuto, J. Lodenquai, and M. Ruderman, Phys. Rev. D 3, 2303 (1971)

  • [76]

    H. Herold, Phys. Rev. D 19, 2868 (1979)

  • [77]

    R. Jansson and G. R. Farrar, Astrophys. J. 757, 14 (2012), arXiv:1204.3662

  • [78]

    J. M. Cordes and T. J. W. Lazio (2002), arXiv: astro-ph/0207156

  • [79]

    S. S. Wilks, Annals Math. Statist. 9, 60 (1938)

  • [80]

    L. Lista, arXiv: 1609.04150

  • [81]

    V. Anastassopoulos et al., Nature Phys. 13, 584 (2017), arXiv:1705.02290

  • [82]

    M. S. Pshirkov, P. G. Tinyakov, P. P. Kronberg et al., Astrophys. J. 738, 192 (2011), arXiv:1103.0814