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The Giant Radio Array for Neutrino Detection (GRAND): Science and design

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Abstract

The Giant Radio Array for Neutrino Detection (GRAND) is a planned large-scale observatory of ultra-high-energy (UHE) cosmic particles, with energies exceeding 108 GeV. Its goal is to solve the long-standing mystery of the origin of UHE cosmic rays. To do this, GRAND will detect an unprecedented number of UHE cosmic rays and search for the undiscovered UHE neutrinos and gamma rays associated to them with unmatched sensitivity. GRAND will use large arrays of antennas to detect the radio emission coming from extensive air showers initiated by UHE particles in the atmosphere. Its design is modular: 20 separate, independent sub-arrays, each of 10000 radio antennas deployed over 10000 km2. A staged construction plan will validate key detection techniques while achieving important science goals early. Here we present the science goals, detection strategy, preliminary design, performance goals, and construction plans for GRAND.

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References

  1. K. Kotera, and A. V. Olinto, Annu. Rev. Astron. Astrophys. 49, 119 (2011), arXiv: 1101.4256.

    Article  ADS  Google Scholar 

  2. K. Greisen, Phys. Rev. Lett. 16, 748 (1966).

    Article  ADS  Google Scholar 

  3. G. T. Zatsepin, and V. A. Kuzmin, JETP Lett. 4, 78 (1966).

    ADS  Google Scholar 

  4. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. Lett. 111, 021103 (2013), arXiv: 1304.5356.

    Article  ADS  Google Scholar 

  5. M. G. Aartsen, et al. (IceCube Collaboration), Science 342, 1242856 (2013), arXiv: 1311.5238.

    Article  Google Scholar 

  6. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. Lett. 113, 101101 (2014), arXiv: 1405.5303.

    Article  ADS  Google Scholar 

  7. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. Lett. 115, 081102(2015), arXiv: 1507.04005.

    Article  ADS  Google Scholar 

  8. M. G. Aartsen, et al. (IceCube Collaboration), Astrophys. J. 833, 3 (2016), arXiv: 1607.08006.

    Article  ADS  Google Scholar 

  9. B. P. Abbott, et al. (LIGO Scientific Collaboration, Virgo Collaboration, Fermi GBM, INTEGRAL, IceCube Collaboration, AstroSat Cadmium Zinc Telluride Imager Team, IPN Collaboration, The Insight-Hxmt Collaboration, ANTARES Collaboration, The Swift Collaboration, AGILE Team, The 1M2H Team, The Dark Energy Camera GW-EM Collaboration, the DES Collaboration, The DLT40 Collaboration, GRAWITA: GRAvitational Wave Inaf TeAm, The Fermi Large Area Telescope Collaboration, ATCA: Australia Telescope Compact Array, ASKAP: Australian SKA Pathfinder, Las Cumbres Observatory Group, OzGrav, DWF: (Deeper, Wider, Faster Program), AST3, CAASTRO Collaborations, The VINROUGE Collaboration, MASTER Collaboration, J-GEM, GROWTH, JAG-WAR, Caltech-NRAO, TTU-NRAO, NuSTAR Collaborations, Pan-STARRS, The MAXI Team, TZAC Consortium, KU Collaboration, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS: Transient Robotic Observatory of the South Collaboration, The BOOTES Collaboration, MWA: Murchison Widefield Array, The CALET Collaboration, IKI-GW Follow-up Collaboration, H.E.S.S. Collaboration, LOFAR Collaboration, LWA: Long Wavelength Array, HAWC Collaboration, The Pierre Auger Collaboration, ALMA Collaboration, Euro VLBI Team, Pi of the Sky Collaboration, The Chandra Team at McGill University, DFN: Desert Fireball Network, ATLAS, High Time Resolution Universe Survey, RIMAS, RATIR, SKA South Africa/MeerKAT,),, Astrophys. J. 848, L12 (2017), arXiv: 1710.05833.

    Article  ADS  Google Scholar 

  10. M. Ackermann, et al. (The Fermi LAT Collaboration), Astrophys. J. 799, 86 (2015), arXiv: 1410.3696.

    Article  ADS  Google Scholar 

  11. M. Ackermann, et al. (The Fermi LAT Collaboration), Phys. Rev. Lett. 116, 151105 (2016), arXiv: 1511.00693.

    Article  ADS  Google Scholar 

  12. M. G. Aartsen, et al. (IceCube Collaboration), arXiv: 1710.01191.

  13. W. D. Apel, J. C. Arteaga-Velázquez, K. Bekk, M. Bertaina, J. Blümer, H. Bozdog, I. M. Brancus, E. Cantoni, A. Chiavassa, F. Cossavella, K. Daumiller, V. de Souza, F. Di Pierro, P. Doll, R. Engel, J. Engler, M. Finger, B. Fuchs, D. Fuhrmann, H. J. Gils, R. Glasstetter, C. Grupen, A. Haungs, D. Heck, J. R. Hörandel, D. Huber, T. Huege, K. H. Kampert, D. Kang, H. O. Klages, K. Link, P. Łuczak, M. Ludwig, H. J. Mathes, H. J. Mayer, M. Melissas, J. Milke, B. Mitrica, C. Morello, J. Oehlschläger, S. Ostapchenko, N. Palmieri, M. Petcu, T. Pierog, H. Rebel, M. Roth, H. Schieler, S. Schoo, F. G. Schröder, O. Sima, G. Toma, G. C. Trinchero, H. Ulrich, A. Weindl, J. Wochele, M. Wommer, and J. Zabierowski, Astropart. Phys. 47, 54 (2013), arXiv: 1306.6283.

    Article  ADS  Google Scholar 

  14. A. Aab, et al. (The Pierre Auger Collaboration), arXiv: 1509.03732.

  15. C. Jui, in Proceedings of the 34th International Cosmic Ray Conference (ICRC 2015), The Hague, The Netherlands, July 30–August 6, 2015 (PoS, The Hague, 2016), p. 035.

  16. R. Alves Batista, R. M. de Almeida, B. Lago, and K. Kotera, J. Cosmol. Astropart. Phys. 2019, 002 (2019), arXiv: 1806.10879.

    Article  Google Scholar 

  17. G. Decerprit, and D. Allard, Astron. Astrophys. 535, A66 (2011), arXiv: 1107.3722.

    Article  ADS  Google Scholar 

  18. V. S. Beresinsky, and G. T. Zatsepin, Phys. Lett. B 28, 423 (1969).

    Article  ADS  Google Scholar 

  19. K. Møller, P. B. Denton, and I. Tamborra, J. Cosmol. Astropart. Phys. 2019, 047 (2019), arXiv: 1809.04866.

    Article  Google Scholar 

  20. M. Bustamante, J. F. Beacom, and W. Winter, Phys. Rev. Lett. 115, 161302 (2015), arXiv: 1506.02645.

    Article  ADS  Google Scholar 

  21. R. Alves Batista, A. Dundovic, M. Erdmann, K. H. Kampert, D. Kuempel, G. Müller, G. Sigl, A. Vliet, D. Walz, and T. Winchen, J. Cosmol. Astropart. Phys. 2016, 038 (2016), arXiv: 1603.07142.

    Article  Google Scholar 

  22. I. Valino, et al. (The Pierre Auger Collaboration), in Proceedings of the 34th International Cosmic Ray Conference (ICRC 2015), The Hague, The Netherlands, July 30–August 6, 2015 (PoS, The Hague, 2015), p. 271.

  23. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 90, 122005 (2014), arXiv: 1409.4809.

    Article  ADS  Google Scholar 

  24. A. M. Taylor, M. Ahlers, and D. Hooper, Phys. Rev. D 92, 063011 (2015), arXiv: 1505.06090.

    Article  ADS  Google Scholar 

  25. M. G. Aartsen, et al. (IceCube Collaboration),Astrophys. J. 809, 98 (2015), arXiv: 1507.03991.

    Article  ADS  Google Scholar 

  26. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. D 98, 062003 (2018), arXiv: 1807.01820.

    Article  ADS  Google Scholar 

  27. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 91, 092008 (2015), arXiv: 1504.05397.

    Article  ADS  Google Scholar 

  28. P. W. Gorham, et al. (ANITA Collaboration), Phys. Rev. D 98, 022001 (2018), arXiv: 1803.02719.

    Article  ADS  Google Scholar 

  29. P. Allison, et al. (The ARA Collaboration), Phys. Rev. D 93, 082003 (2016), arXiv: 1507.08991.

    Article  ADS  Google Scholar 

  30. C. R. Persichilli, Performance and Simulation of the ARIANNA Pilot Array, with Implications for Future Ultra-high Energy Neutrino Astronomy, Dissertation for the Doctoral Degree (University Of California, Irvine, 2018).

    Google Scholar 

  31. J. Krizmanic, in POEMMA: Probe Of Multi-Messenger Astrophysics, Talk given at the Ultra High Energy Cosmic Rays Conference 2018 (UHECR 2018), Paris, France, October 08–12, 2018 (Paris, 2018).

  32. M. Sasaki, and T. Kifune, in Proceedings of the 7th International Workshop on Very High Energy Particle Astronomy (VHEPA2014), Chiba, Japan, March 19–20, 2014, Vol. 15 (Chiba, 2017), p. 011013.

  33. A. N. Otte, Phys. Rev. D 99, 083012 (2019), arXiv: 1811.09287.

    Article  ADS  Google Scholar 

  34. D. Góra, and E. Bernardini, Astropart. Phys. 82, 77 (2016), arXiv: 1606.01676.

    Article  ADS  Google Scholar 

  35. T. Liu, in The Status of the Second Station of Taiwan Astroparticle Radiowave Observatory for Geo-synchrotron Emissions (TAROGE-II): Proceedings of the 35th International Cosmic Ray Conference (ICRC2017) (PoS, 2018), p. 234.

  36. S. Wissel, in A New Concept for High-Elevation Radio Detection of Tau Neutrinos: Talk given at the Acoustic and Radio EeV Neutrino Detection Activities Conference 2018 (ARENA 2018) (Catania, 2018).

  37. S. W. Barwick, et al. (The ARIANNA Collaboration), Astropart. Phys. 70, 12 (2015), arXiv: 1410.7352.

    Article  ADS  Google Scholar 

  38. A. van Vliet, J. R. Hörandel, and R. Alves Batista, in Cosmogenic Gamma-rays and Neutrinos Constrain UHECR Source Models: Proceedings of the 35th ICRC, 562 (PoS, Busan, 2017), p. 562.

  39. A. van Vliet, R. Alves Batista, and J. R. Horandel, Phys. Rev. D 100, 021302(R) (2019), arXiv: 1901.01899.

    Article  ADS  Google Scholar 

  40. F. W. Stecker, C. Done, M. H. Salamon, and P. Sommers, Phys. Rev. Lett. 66, 2697 (1991).

    Article  ADS  Google Scholar 

  41. K. Murase, Y. Inoue, and C. D. Dermer, Phys. Rev. D 90, 023007 (2014), arXiv: 1403.4089.

    Article  ADS  Google Scholar 

  42. K. Murase, arXiv: 1511.01590.

  43. E. Waxman, and J. Bahcall, Phys. Rev. D 59, 023002 (1998), arXiv: hep-ph/9807282.

    Article  ADS  Google Scholar 

  44. H. N. He, R. Y. Liu, X. Y. Wang, S. Nagataki, K. Murase, and Z. G. Dai, Astrophys. J. 752, 29 (2012), arXiv: 1204.0857.

    Article  ADS  Google Scholar 

  45. K. Murase, and S. Nagataki, Phys. Rev. D 73, 063002 (2006), arXiv: astro-ph/0512275.

    Article  ADS  Google Scholar 

  46. M. Bustamante, P. Baerwald, K. Murase, and W. Winter, Nat. Commun. 6, 6783 (2015), arXiv: 1409.2874.

    Article  ADS  Google Scholar 

  47. M. Bustamante, J. Heinze, K. Murase, and W. Winter, Astrophys. J. 837, 33 (2017), arXiv: 1606.02325.

    Article  ADS  Google Scholar 

  48. K. Murase, K. Ioka, S. Nagataki, and T. Nakamura, Astrophys. J. 651, L5 (2006), arXiv: astro-ph/0607104.

    Article  ADS  Google Scholar 

  49. K. Murase, K. Ioka, S. Nagataki, and T. Nakamura, Phys. Rev. D 78, 023005 (2008), arXiv: 0801.2861.

    Article  ADS  Google Scholar 

  50. K. Murase, S. Inoue, and S. Nagataki, Astrophys. J. 689, L105 (2008), arXiv: 0805.0104.

    Article  ADS  Google Scholar 

  51. K. Kotera, D. Allard, K. Murase, J. Aoi, Y. Dubois, T. Pierog, and S. Nagataki, Astrophys. J. 707, 370 (2009), arXiv: 0907.2433.

    Article  ADS  Google Scholar 

  52. K. Fang, and A. V. Olinto, Astrophys. J. 828, 37 (2016), arXiv: 1607.00380.

    Article  ADS  Google Scholar 

  53. K. Fang, and K. Murase, Nat. Phys. 14, 396 (2018), arXiv: 1704.00015.

    Article  Google Scholar 

  54. K. Murase, P. Mé szá ros, and B. Zhang, Phys. Rev. D 79, 103001 (2009), arXiv: 0904.2509.

    Article  ADS  Google Scholar 

  55. K. Fang, K. Kotera, K. Murase, and A. V. Olinto, Phys. Rev. D 90, 103005 (2014), arXiv: 1311.2044.

    Article  ADS  Google Scholar 

  56. K. Fang, K. Kotera, M. C. Miller, K. Murase, and F. Oikonomou, J. Cosmol. Astropart. Phys. 2016, 017 (2016), arXiv: 1609.08027.

    Article  Google Scholar 

  57. K. Fang, and M. C. Miller, Astrophys. J. 826, 102 (2016), arXiv: 1603.09306.

    Article  ADS  Google Scholar 

  58. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. Lett. 117, 241101 (2016), arXiv: 1607.05886.

    Article  ADS  Google Scholar 

  59. K. Murase, Phys. Rev. D 76, 123001 (2007), arXiv: 0707.1140.

    Article  ADS  Google Scholar 

  60. M. Ajello, et al. (The Fermi-LAT Collaboration), Astrophys. J. Suppl. Ser. 232, 18 (2017), arXiv: 1702.00664.

    Article  ADS  Google Scholar 

  61. S. S. Kimura, K. Murase, P. Mészáros, and K. Kiuchi, Astrophys. J. 848, L4 (2017), arXiv: 1708.07075.

    Article  ADS  Google Scholar 

  62. C. Guépin, K. Kotera, E. Barausse, K. Fang, and K. Murase, Astron. Astrophys. 616, A179 (2018), arXiv: 1711.11274.

    Article  ADS  Google Scholar 

  63. B. B. Zhang, B. Zhang, H. Sun, W. H. Lei, H. Gao, Y. Li, L. Shao, Y. Zhao, Y. D. Hu, H. J. Lü, X. F. Wu, X. L. Fan, G. Wang, A. J. Castro-Tirado, S. Zhang, B. Y. Yu, Y. Y. Cao, and E. W. Liang, Nat. Commun. 9, 447 (2018), arXiv: 1710.05851.

    Article  ADS  Google Scholar 

  64. C. Guépin, and K. Kotera, Astron. Astrophys. 603, A76 (2017), arXiv: 1701.07038.

    Article  ADS  Google Scholar 

  65. D. Colladay, and V. A. Kostelecký, Phys. Rev. D 58, 116002 (1998), arXiv: hep-ph/9809521.

    Article  ADS  Google Scholar 

  66. V. A. Kostelecký, and M. Mewes, Phys. Rev. D 70, 031902 (2004), arXiv: hep-ph/0308300.

    Article  ADS  Google Scholar 

  67. V. Alan Kostelecký, and M. Mewes, Phys. Rev. D 69, 016005 (2004), arXiv: hep-ph/0309025.

    Article  ADS  Google Scholar 

  68. J. S. Díaz, and V. A. Kostelecký, Phys. Rev. D 85, 016013 (2012), arXiv: 1108.1799.

    Article  ADS  Google Scholar 

  69. V. A. Kostelecký, and M. Mewes, Phys. Rev. D 85, 096005 (2012), arXiv: 1112.6395.

    Article  ADS  Google Scholar 

  70. R. Abbasi, et al. (IceCube Collaboration), Phys. Rev. D 82, 112003 (2010), arXiv: 1010.4096.

    Article  ADS  Google Scholar 

  71. K. Abe, et al. (Super-Kamiokande Collaboration), Phys. Rev. D 91, 052003 (2015), arXiv: 1410.4267.

    Article  ADS  Google Scholar 

  72. P. Baerwald, M. Bustamante, and W. Winter, J. Cosmol. Astropart. Phys. 2012, 020 (2012), arXiv: 1208.4600.

    Article  Google Scholar 

  73. I. M. Shoemaker, and K. Murase, Phys. Rev. D 93, 085004 (2016), arXiv: 1512.07228.

    Article  ADS  Google Scholar 

  74. M. Bustamante, J. F. Beacom, and K. Murase, Phys. Rev. D 95, 063013 (2017), arXiv: 1610.02096.

    Article  ADS  Google Scholar 

  75. K. Ioka, and K. Murase, Prog. Theor. Exp. Phys. 2014, 61E01 (2014), arXiv: 1404.2279.

    Article  Google Scholar 

  76. K. C. Y. Ng, and J. F. Beacom, Phys. Rev. D 90, 065035 (2014), arXiv: 1404.2288; Phys. Rev. D 90, 089904 (2014).

    Article  ADS  Google Scholar 

  77. K. Blum, A. Hook, and K. Murase, arXiv: 1408.3799.

  78. A. DiFranzo, and D. Hooper, Phys. Rev. D 92, 095007 (2015), arXiv: 1507.03015.

    Article  ADS  Google Scholar 

  79. T. Araki, F. Kaneko, T. Ota, J. Sato, and T. Shimomura, Phys. Rev. D 93, 013014 (2016), arXiv: 1508.07471.

    Article  ADS  Google Scholar 

  80. J. Kopp, J. Liu, and X. P. Wang, J. High Energ. Phys. 2015, 105 (2015), arXiv: 1503.02669.

    Article  Google Scholar 

  81. J. H. Davis, and J. Silk, arXiv: 1505.01843.

  82. M. M. Reynoso, and O. A. Sampayo, Astropart. Phys. 82, 10 (2016), arXiv: 1605.09671.

    Article  ADS  Google Scholar 

  83. T. Kashti, and E. Waxman, Phys. Rev. Lett. 95, 181101 (2005), arXiv: astro-ph/0507599.

    Article  ADS  Google Scholar 

  84. P. Lipari, M. Lusignoli, and D. Meloni, Phys. Rev. D 75, 123005 (2007), arXiv: 0704.0718.

    Article  ADS  Google Scholar 

  85. M. G. Aartsen, et al. (IceCube Collaboration), Nature 551, 596 (2017), arXiv: 1711.08119.

    Article  ADS  Google Scholar 

  86. M. Bustamante, and A. Connolly, Phys. Rev. Lett. 122, 041101 (2019), arXiv: 1711.11043.

    Article  ADS  Google Scholar 

  87. M. Blennow, and D. Meloni, Phys. Rev. D 80, 065009 (2009), arXiv: 0901.2110.

    Article  ADS  Google Scholar 

  88. A. Connolly, R. S. Thorne, and D. Waters, Phys. Rev. D 83, 113009 (2011), arXiv: 1102.0691.

    Article  ADS  Google Scholar 

  89. M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, and N. Song, Astropart. Phys. 84, 15 (2016), arXiv: 1605.08055.

    Article  ADS  Google Scholar 

  90. C. A. Argüelles, A. Kheirandish, and A. C. Vincent, Phys. Rev. Lett. 119, 201801 (2017), arXiv: 1703.00451.

    Article  ADS  Google Scholar 

  91. S. Pakvasa, Lett. Nuovo Cimento 31, 497 (1981).

    Article  Google Scholar 

  92. G. Barenboim, and C. Quigg, Phys. Rev. D 67, 073024 (2003), arXiv: hep-ph/0301220.

    Article  ADS  Google Scholar 

  93. Z. Xing, and S. Zhou, Phys. Rev. D 74, 013010 (2006), arXiv: astroph/0603781.

    Article  ADS  Google Scholar 

  94. S. Pakvasa, W. Rodejohann, and T. J. Weiler, J. High Energy Phys. 2008, 005 (2008), arXiv: 0711.4517.

    Article  Google Scholar 

  95. A. Esmaili, and Y. Farzan, Nucl. Phys. B 821, 197 (2009), arXiv: 0905.0259.

    Article  ADS  Google Scholar 

  96. K. C. Lai, G. L. Lin, and T. C. Liu, Phys. Rev. D 80, 103005 (2009), arXiv: 0905.4003.

    Article  ADS  Google Scholar 

  97. S. Choubey, and W. Rodejohann, Phys. Rev. D 80, 113006 (2009), arXiv: 0909.1219.

    Article  ADS  Google Scholar 

  98. M. Bustamante, A. M. Gago, and C. Peña-Garay, J. High Energ. Phys. 2010, 66 (2010), arXiv: 1001.4878.

    Article  Google Scholar 

  99. P. Mehta, and W. Winter, J. Cosmol. Astropart. Phys. 2011, 041 (2011), arXiv: 1101.2673.

    Article  Google Scholar 

  100. S. Pakvasa, A. Joshipura, and S. Mohanty, Phys. Rev. Lett. 110, 171802 (2013), arXiv: 1209.5630.

    Article  ADS  Google Scholar 

  101. L. Dorame, O. G. Miranda, and J. W. F. Valle, Front. Phys. 1, 25 (2013), arXiv: 1303.4891.

    Article  Google Scholar 

  102. O. Mena, S. Palomares-Ruiz, and A. C. Vincent, Phys. Rev. Lett. 113, 091103 (2014), arXiv: 1404.0017.

    Article  ADS  Google Scholar 

  103. X. J. Xu, H. J. He, and W. Rodejohann, J. Cosmol. Astropart. Phys. 2014, 039 (2014), arXiv: 1407.3736.

    Article  Google Scholar 

  104. E. Aeikens, H. Päs, S. Pakvasa, and P. Sicking, J. Cosmol. Astropart. Phys. 2015, 005 (2015), arXiv: 1410.0408.

    Article  Google Scholar 

  105. L. Fu, C. M. Ho, and T. J. Weiler, Phys. Rev. D 91, 053001 (2015), arXiv: 1411.1174.

    Article  ADS  Google Scholar 

  106. A. Palladino, G. Pagliaroli, F. L. Villante, and F. Vissani, Phys. Rev. Lett. 114, 171101 (2015), arXiv: 1502.02923.

    Article  ADS  Google Scholar 

  107. S. Palomares-Ruiz, A. C. Vincent, and O. Mena, Phys. Rev. D 91, 103008 (2015), arXiv: 1502.02649.

    Article  ADS  Google Scholar 

  108. M. G. Aartsen, et al. (IceCube Collaboration), Phys. Rev. Lett. 114, 171102 (2015), arXiv: 1502.03376.

    Article  ADS  Google Scholar 

  109. A. Palladino, and F. Vissani, Eur. Phys. J. C 75, 433 (2015), arXiv: 1504.05238.

    Article  ADS  Google Scholar 

  110. C. A. Argüelles, T. Katori, and J. Salvado, Phys. Rev. Lett. 115, 161303 (2015), arXiv: 1506.02043.

    Article  ADS  Google Scholar 

  111. H. Nunokawa, B. Panes, and R. Z. Funchal, J. Cosmol. Astropart. Phys. 2016, 036 (2016), arXiv: 1604.08595.

    Article  Google Scholar 

  112. A. C. Vincent, S. Palomares-Ruiz, and O. Mena, Phys. Rev. D 94, 023009 (2016), arXiv: 1605.01556.

    Article  ADS  Google Scholar 

  113. V. Brdar, J. Kopp, and X. P. Wang, J. Cosmol. Astropart. Phys. 2017, 026 (2017), arXiv: 1611.04598.

    Article  Google Scholar 

  114. M. Bustamante, and S. K. Agarwalla, Phys. Rev. Lett. 122, 061103 (2019), arXiv: 1808.02042.

    Article  ADS  Google Scholar 

  115. M. Ahlers, M. Bustamante, and S. Mu, Phys. Rev. D 98, 123023 (2018), arXiv: 1810.00893.

    Article  ADS  Google Scholar 

  116. M. Lindner, T. Ohlsson, and W. Winter, Nucl. Phys. B 607, 326 (2001), arXiv: hep-ph/0103170.

    Article  ADS  Google Scholar 

  117. J. F. Beacom, and N. F. Bell, Phys. Rev. D 65, 113009 (2002), arXiv: hep-ph/0204111.

    Article  ADS  Google Scholar 

  118. J. F. Beacom, N. F. Bell, D. Hooper, S. Pakvasa, and T. J. Weiler, Phys. Rev. Lett. 90, 181301 (2003), arXiv: hep-ph/0211305.

    Article  ADS  Google Scholar 

  119. J. Beacom, N. Bell, D. Hooper, S. Pakvasa, and T. Weiler, Phys. Rev. D 72, 019901 (2005), arXiv: hep-ph/0307025.

    Article  ADS  Google Scholar 

  120. J. F. Beacom, N. F. Bell, D. Hooper, S. Pakvasa, and T. J. Weiler, Phys. Rev. D 69, 017303 (2004).

    Article  ADS  Google Scholar 

  121. D. Meloni, and T. Ohlsson, Phys. Rev. D 75, 125017 (2007), arXiv: hep-ph/0612279.

    Article  ADS  Google Scholar 

  122. M. Maltoni, and W. Winter, J. High Energy Phys. 2008, 064 (2008), arXiv: 0803.2050.

    Article  Google Scholar 

  123. G. Pagliaroli, A. Palladino, F. L. Villante, and F. Vissani, Phys. Rev. D 92, 113008 (2015), arXiv: 1506.02624.

    Article  ADS  Google Scholar 

  124. Y. Huang, and B.-Q. Ma, Universe 3, 15 (2015), arXiv: 1508.01698.

    Google Scholar 

  125. D. Hooper, D. Morgan, and E. Winstanley, Phys. Rev. D 72, 065009 (2005), arXiv: hep-ph/0506091.

    Article  ADS  Google Scholar 

  126. J. Ellis, and N. E. Mavromatos, Astropart. Phys. 43, 50 (2013), arXiv: 1111.1178.

    Article  ADS  Google Scholar 

  127. V. De Sabbata, and M. Gasperini, Nuov Cim. A 65, 479 (1981).

    Article  ADS  Google Scholar 

  128. Y. H. Ahn, S. K. Kang, and C. S. Kim, J. High Energ. Phys. 2016, 92 (2016), arXiv: 1602.05276.

    Article  Google Scholar 

  129. M. Bustamante, A. M. Gago, and J. J. Pérez, J. High Energ. Phys. 2011, 133 (2011), arXiv: 1012.2728.

    Article  Google Scholar 

  130. P. F. de Salas, R. A. Lineros, and M. Tortola, Phys. Rev. D 94, 123001 (2016), arXiv: 1601.05798.

    Article  ADS  Google Scholar 

  131. N. Klop, and S. Ando, Phys. Rev. D 97, 063006 (2018), arXiv: 1712.05413.

    Article  ADS  Google Scholar 

  132. A. D. Supanitsky, and G. Medina-Tanco, Phys. Rev. D 86, 093020 (2012), arXiv: 1210.6797.

    Article  ADS  Google Scholar 

  133. S. H. Wang, P. Chen, J. Nam, and M. Huang, J. Cosmol. Astropart. Phys. 2013, 062 (2013), arXiv: 1302.1586.

    Article  Google Scholar 

  134. A. Aab, et al. (The Pierre AugerCollaboration), J. Cosmol. Astropart. Phys. 2017, 009 (2017), arXiv: 1612.01517.

    Article  Google Scholar 

  135. M. Niechciol, et al. (The Pierre Auger Collaboration), in Diffuse and Targeted Searches for Ultra-High-Energyphotons Using the Hybrid Detector of the PierreAuger Observatory: Proceeding of the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017), pp. 56–63.

  136. A. Aab, et al. (The Pierre Auger Collaboration), Astrophys. J. 837, L25 (2017), arXiv: 1612.04155.

    Article  ADS  Google Scholar 

  137. G. Rubtsov, et al. (Telescope Array), in Proceedings of the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017), p. 1102.

  138. A. Aab, et al. (The Pierre Auger Collaboration), arXiv: 1604.03637.

  139. R. J. Protheroe, and P. L. Biermann, Astropart. Phys. 6, 45 (1996), arXiv: astro-ph/9605119.

    Article  ADS  Google Scholar 

  140. D. J. Fixsen, E. Dwek, J. C. Mather, C. L. Bennett, and R. A. Shafer, Astrophys. J. 508, 123 (1998), arXiv: astro-ph/9803021.

    Article  ADS  Google Scholar 

  141. J. Biteau, and D. A. Williams, Astrophys. J. 812, 60 (2015), arXiv: 1502.04166.

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  143. M. A. Sánchez-Conde, D. Paneque, E. Bloom, F. Prada, and A. Domínguez, Phys. Rev. D 79, 123511 (2009), arXiv: 0905.3270.

    Article  ADS  Google Scholar 

  144. G. Amelino-Camelia, New J. Phys. 6, 188 (2004), arXiv: grqc/0212002.

    Article  ADS  Google Scholar 

  145. F. W. Stecker, Astropart. Phys. 20, 85 (2003), arXiv: astroph/0308214.

    Article  ADS  Google Scholar 

  146. F. W. Stecker, Astropart. Phys. 35, 95 (2011), arXiv: 1102.2784.

    Article  ADS  Google Scholar 

  147. V. Vasileiou, A. Jacholkowska, F. Piron, J. Bolmont, C. Couturier, J. Granot, F. W. Stecker, J. Cohen-Tanugi, and F. Longo, Phys. Rev. D 87, 122001 (2013), arXiv: 1305.3463.

    Article  ADS  Google Scholar 

  148. J. Ellis, R. Konoplich, N. E. Mavromatos, L. Nguyen, A. S. Sakharov, and E. K. Sarkisyan-Grinbaum, Phys. Rev. D 99, 083009 (2019), arXiv: 1807.00189.

    Article  ADS  Google Scholar 

  149. B. Sarkar, K.-H. Kampert, and J. Kulbartz, in Proceedings of the 32nd International Cosmic Ray Conference (ICRC 2011) (Beijing, 2011), p. 198.

  150. A. Aab, et al. (The Pierre Auger Collaboration), arXiv: 1708.06592.

  151. D. Ikeda, Nucl. Particle Phys. Proc. 291–293, 74 (2017).

    Article  ADS  Google Scholar 

  152. A. Aab, etal. (The Pierre AugerCollaboration), J. Cosmol. Astropart. Phys. 2017, 026 (2017), arXiv: 1611.06812.

    Article  Google Scholar 

  153. F. Fenu, in The Cosmic Ray Energy Spectrum Measured Using the Pierre Auger Observatory: Proceeding of the 35th International Cosmic Ray Conference (ICRC2017) (PoS, Busan, 2017), p. 486.

  154. Y. Tsunesada, (Telescope Array), in Proceedings of the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017).

  155. F. Oikonomou, K. Kotera, and F. B. Abdalla, J. Cosmol. Astropart. Phys. 2015, 030 (2015), arXiv: 1409.1925.

    Article  Google Scholar 

  156. P. B. Denton, and T. J. Weiler, J. High Energy Astrophys. 8, 1 (2015), arXiv: 1505.03922.

    Article  ADS  Google Scholar 

  157. T. Abu-Zayyad, et al. (Pierre Auger Collaboration, Telescope Array Collaboration), in Proceedings of the 33rd International Cosmic Ray Conference (ICRC2013) (Rio de Janeiro, Brazil, 2013), arXiv: 1310.0647.

  158. R. U. Abbasi, et al. (The Telescope Array Collaboration), Astrophys. J. 790, L21 (2014), arXiv: 1404.5890.

    Article  ADS  Google Scholar 

  159. R. U. Abbasi, et al. (The Telescope Array Collaboration), arXiv: 1707.04967.

  160. A. Aab, et al. (The Pierre Auger Collaboration), Science 357, 1266 (2017), arXiv: 1709.07321.

    Article  ADS  Google Scholar 

  161. D. Charrier, K. D. de Vries, Q. Gou, J. Gu, H. Hu, Y. Huang, S. Le Coz, O. Martineau-Huynh, V. Niess, T. Saugrin, M. Tueros, X. Wu, J. Zhang, and Y. Zhang, Astropart. Phys. 110, 15 (2019), arXiv: 1810.03070.

    Article  ADS  Google Scholar 

  162. P. Abreu, etal. (The Telescope ArrayCollaboration), Phys. Rev. Lett. 109, 062002 (2012), arXiv: 1208.1520.

    Article  ADS  Google Scholar 

  163. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 91, 059901 (2015); Phys. Rev. D 91, 032003 (2015), arXiv: 1408.1421.

    Article  ADS  Google Scholar 

  164. B. P. Abbott, et al. (The LIGO Scientific Collaboration, The Virgo Collaboration), Phys. Rev. Lett. 119, 161101 (2017), arXiv: 1710.05832.

    Article  ADS  Google Scholar 

  165. M. G. Aartsen, et al. (IceCube Collaboration), Science 825, eaat2890 (2018), arXiv: 1807.08794.

    Google Scholar 

  166. M. G. Aartsen, et al. (The IceCube, Fermi-LAT, MAGIC, AGILE, ASAS-SN, HAWC, H.E.S.S, INTEGRAL, Kanata, Kiso, Kapteyn, Liverpool telescope, Subaru, Swift/NuSTAR, VERITAS, VLA/17B-403 teams), Science 361, eaat1378 (2018), arXiv: 1807.08816.

    ADS  Google Scholar 

  167. M. Zucker, S. Vitale, and D. Sigg, in Getting anA+: Enhancing Advanced LIGO: Talk given at the Dawn-II Workshop (Georgia Tech, 2016).

  168. B. Sathyaprakash, M. Abernathy, F. Acernese, P. Ajith, B. Allen, P. Amaro-Seoane, N. Andersson, S. Aoudia, K. Arun, P. Astone, B. Krishnan, L. Barack, F. Barone, B. Barr, M. Barsuglia, M. Bassan, R. Bassiri, M. Beker, N. Beveridge, M. Bizouard, C. Bond, S. Bose, L. Bosi, S. Braccini, C. Bradaschia, M. Britzger, F. Brueckner, T. Bulik, H. J. Bulten, O. Burmeister, E. Calloni, P. Campsie, L. Carbone, G. Cella, E. Chalkley, E. Chassande-Mottin, S. Chelkowski, A. Chincarini, A. D. Cintio, J. Clark, E. Coccia, C. N. Colacino, J. Colas, A. Colla, A. Corsi, A. Cumming, L. Cunningham, E. Cuoco, S. Danilishin, K. Danzmann, E. Daw, R. De Salvo, W. D. Pozzo, T. Dent, R. De Rosa, L. D. Fiore, M. D. P. Emilio, A. D. Virgilio, A. Dietz, M. Doets, J. Dueck, M. Edwards, V. Fafone, S. Fairhurst, P. Falferi, M. Favata, V. Ferrari, F. Ferrini, F. Fidecaro, R. Flaminio, J. Franc, F. Frasconi, A. Freise, D. Friedrich, P. Fulda, J. Gair, M. Galimberti, G. Gemme, E. Genin, A. Gennai, A. Giazotto, K. Glampedakis, S. Gossan, R. Gouaty, C. Graef, W. Graham, M. Granata, H. Grote, G. Guidi, J. Hallam, G. Hammond, M. Hannam, J. Harms, K. Haughian, I. Hawke, D. Heinert, M. Hendry, I. Heng, E. Hennes, S. Hild, J. Hough, D. Huet, S. Husa, S. Huttner, B. Iyer, D. I. Jones, G. Jones, I. Kamaretsos, C. K. Mishra, F. Kawazoe, F. Khalili, B. Kley, K. Kokeyama, K. Kokkotas, S. Kroker, R. Kumar, K. Kuroda, B. Lagrange, N. Lastzka, T. G. F. Li, M. Lorenzini, G. Losurdo, H. Lück, E. Majorana, V. Malvezzi, I. Mandel, V. Mandic, S. Marka, F. Marin, F. Marion, J. Marque, I. Martin, D. M. Leod, D. Mckechan, M. Mehmet, C. Michel, Y. Minenkov, N. Morgado, A. Morgia, S. Mosca, L. Moscatelli, B. Mours, H. Müller-Ebhardt, P. Murray, L. Naticchioni, R. Nawrodt, J. Nelson, R. O. Shaughnessy, C. D. Ott, C. Palomba, A. Paoli, G. Parguez, A. Pasqualetti, R. Passaquieti, D. Passuello, M. Perciballi, F. Piergiovanni, L. Pinard, M. Pitkin, W. Plastino, M. Plissi, R. Poggiani, P. Popolizio, E. Porter, M. Prato, G. Prodi, M. Punturo, P. Puppo, D. Rabeling, I. Racz, P. Rapagnani, V. Re, J. Read, T. Regimbau, H. Rehbein, S. Reid, F. Ricci, F. Richard, C. Robinson, A. Rocchi, R. Romano, S. Rowan, A. Rüdiger, A. Samblowski, L. Santamaría, B. Sassolas, R. Schilling, P. Schmidt, R. Schnabel, B. Schutz, C. Schwarz, J. Scott, P. Seidel, A. M. Sintes, K. Somiya, C. F. Sopuerta, B. Sorazu, F. Speirits, L. Storchi, K. Strain, S. Strigin, P. Sutton, S. Tarabrin, B. Taylor, A. Thürin, K. Tokmakov, M. Tonelli, H. Tournefier, R. Vaccarone, H. Vahlbruch, J. F. J. van den Brand, C. Van Den Broeck, S. van der Putten, M. van Veggel, A. Vecchio, J. Veitch, F. Vetrano, A. Vicere, S. Vyatchanin, P. Weßels, B. Willke, W. Winkler, G. Woan, A. Woodcraft, and K. Yamamoto, Class. Quantum Grav. 29, 124013 (2012), arXiv: 1206.0331.

    Article  ADS  Google Scholar 

  169. M. Evans, in Cosmic Explorer R&D: Talk given at the Gravitational Wave Advanced Detector Workshop 2018 (Girdwood, Alaska, 2018).

  170. C. Meegan, G. Lichti, P. N. Bhat, E. Bissaldi, M. S. Briggs, V. Connaughton, R. Diehl, G. Fishman, J. Greiner, A. S. Hoover, A. J. van der Horst, A. von Kienlin, R. M. Kippen, C. Kouveliotou, S. McBreen, W. S. Paciesas, R. Preece, H. Steinle, M. S. Wallace, R. B. Wilson, and C. Wilson-Hodge, Astrophys. J. 702, 791 (2009), arXiv: 0908.0450.

    Article  ADS  Google Scholar 

  171. W. B. Atwood, et al. (The Fermi/LAT Collaboration), Astrophys. J. 697, 1071 (2009), arXiv: 0902.1089.

    Article  ADS  Google Scholar 

  172. H. Abdalla, et al. (The H.E.S.S. Collaboration), arXiv: 1709.06442.

  173. M. L. Ahnen, et al. (The MAGIC Collaboration), arXiv: 1708.05153.

  174. A. U. Abeysekara, et al. (The VERITAS Collaboration), arXiv: 1510.01639.

  175. A. U. Abeysekara, et al. (The HAWC Collaboration), arXiv: 1708.02572.

  176. B. S. Acharya, et al. (Cherenkov Telescope Array Consortium), arXiv: 1709.07997.

  177. G. Di Sciascio, Nucl. Particle Phys. Proc. 279–281, 166 (2016), arXiv: 1602.07600.

    Article  ADS  Google Scholar 

  178. P. A. Abell, et al. (The LSST Science, LSST Project), arXiv: 0912.0201.

  179. S. Sako, R. Osawa, H. Takahashi, Y. Kikuchi, M. Doi, N. Kobayashi, T. Aoki, K. Arimatsu, M. Ichiki, S. Ikeda, Y. Ita, T. Kasuga, H. Kawakita, M. Kokubo, H. Maehara, N. Matsunaga, H. Mito, K. Mitsuda, T. Miyata, K. Mori, Y. Mori, M. Morii, T. Morokuma, K. Motohara, Y. Nakada, K. Osawa, S. Okumura, H. Onozato, Y. Sarugaku, M. Sato, T. Shigeyama, T. Soyano, M. Tanaka, Y. Taniguchi, A. Tanikawa, K. Tarusawa, N. Tominaga, T. Totani, S. Urakawa, F. Usui, J. Watanabe, J. Yamaguchi, and M. Yoshikawa, in Development of a Prototype of the Tomo-e Gozen Wide-field CMOS Camera: Proceedings Volume 9908, Ground-based and Airborne Instrumentation for Astronomy VI (SPIE, Edinburgh, 2006).

    Google Scholar 

  180. K. Murase, Phys. Rev. Lett. 103, 081102 (2009), arXiv: 0904.2087.

    Article  ADS  Google Scholar 

  181. K. Murase, Astrophys. J. 745, L16 (2012), arXiv: 1111.0936.

    Article  ADS  Google Scholar 

  182. K. Fang, and B. D. Metzger, Astrophys. J. 849, 153 (2017), arXiv: 1707.04263.

    Article  ADS  Google Scholar 

  183. M. W. E. Smith, D. B. Fox, D. F. Cowen, P. Mészáros, G. Tešić, J. Fixelle, I. Bartos, P. Sommers, A. Ashtekar, G. J. Babu, S. D. Barthelmy, S. Coutu, T. DeYoung, A. D. Falcone, S. Gao, B. Hashemi, A. Homeier, S. Márka, B. J. Owen, and I. Taboada, Astropart. Phys. 45, 56 (2013), arXiv: 1211.5602.

    Article  ADS  Google Scholar 

  184. M. G. Aartsen, et al. (IceCube Collaboration), arXiv: 1412.5106.

  185. K. Masui, H. H. Lin, J. Sievers, C. J. Anderson, T. C. Chang, X. Chen, A. Ganguly, M. Jarvis, C. Y. Kuo, Y. C. Li, Y. W. Liao, M. McLaughlin, U. L. Pen, J. B. Peterson, A. Roman, P. T. Timbie, T. Voytek, and J. K. Yadav, Nature 528, 523 (2015), arXiv: 1512.00529.

    Article  ADS  Google Scholar 

  186. D. R. Lorimer, M. Bailes, M. A. McLaughlin, D. J. Narkevic, and F. Crawford, Science 318, 777 (2007), arXiv: 0709.4301.

    Article  ADS  Google Scholar 

  187. E. Petroff, E. D. Barr, A. Jameson, E. F. Keane, M. Bailes, M. Kramer, V. Morello, D. Tabbara, and W. van Straten, Publ. Astron. Soc. Aust. 33, e045 (2016), arXiv: 1601.03547.

    Article  ADS  Google Scholar 

  188. L. G. Spitler, P. Scholz, J. W. T. Hessels, S. Bogdanov, A. Brazier, F. Camilo, S. Chatterjee, J. M. Cordes, F. Crawford, J. Deneva, R. D. Ferdman, P. C. C. Freire, V. M. Kaspi, P. Lazarus, R. Lynch, E. C. Madsen, M. A. McLaughlin, C. Patel, S. M. Ransom, A. Seymour, I. H. Stairs, B. W. Stappers, J. van Leeuwen, and W. W. Zhu, Nature 531, 202 (2016), arXiv: 1603.00581.

    Article  ADS  Google Scholar 

  189. M. Amiri, et al. (The CHIME/FRB Collaboration), Nature 566, 235 (2019), arXiv: 1901.04525.

    Article  ADS  Google Scholar 

  190. F. Mottez, and P. Zarka, Astron. Astrophys. 569, A86 (2014), arXiv: 1408.1333.

    Article  ADS  Google Scholar 

  191. E. Platts, A. Weltman, A. Walters, S. P. Tendulkar, J. E. B. Gordin, and S. Kandhai, arXiv: 1810.05836.

  192. C. Ng, K. Vanderlinde, A. Paradise, P. Klages, K. Masui, K. Smith, K. Bandura, P. J. Boyle, M. Dobbs, V. Kaspi, A. Renard, J. R. Shaw, I. Stairs, and I. Tretyakov, arXiv: 1702.04728.

  193. P. C. Boyle, and Chime/FRB Collaboration, Astronomer’s Telegram 8, 11901 (2018).

    ADS  Google Scholar 

  194. P. Zarka, and F. Mottez, in SF2A-2016: Proceedings of the Annual meeting of the French Society ofAstronomy and Astrophysics, 2016, pp. 347–351.

  195. A. Rowlinson, M. E. Bell, T. Murphy, C. M. Trott, N. Hurley-Walker, S. Johnston, S. J. Tingay, D. L. Kaplan, D. Carbone, P. J. Hancock, L. Feng, A. R. Offringa, G. Bernardi, J. D. Bowman, F. Briggs, R. J. Cappallo, A. A. Deshpande, B. M. Gaensler, L. J. Greenhill, B. J. Hazelton, M. Johnston-Hollitt, C. J. Lonsdale, S. R. McWhirter, D. A. Mitchell, M. F. Morales, E. Morgan, D. Oberoi, S. M. Ord, T. Prabu, N. U. Shankar, K. S. Srivani, R. Subrahmanyan, R. B. Wayth, R. L. Webster, A. Williams, and C. L. Williams, Mon. Not. R. Astron. Soc. 458, 3506 (2016), arXiv: 1602.07544.

    Article  ADS  Google Scholar 

  196. A. Rane, D. R. Lorimer, S. D. Bates, N. McMann, M. A. McLaughlin, and K. Rajwade, Mon. Not. R. Astron. Soc. 455, 2207 (2016), arXiv: 1505.00834.

    Article  ADS  Google Scholar 

  197. V. Soglasnov, arXiv: astro-ph/0701190.

  198. T. Eftekhari, K. Stovall, J. Dowell, F. K. Schinzel, and G. B. Taylor, Astrophys. J. 829, 62 (2016), arXiv: 1607.08612.

    Article  ADS  Google Scholar 

  199. V. Kondratiev, V. A. Soglasnov, M. V. Popov, N. Bartel, W. Cannon, A. Y. Novikov, and V. I. Altunin, J. Roy. Ast. Soc. Canada 99, 139 (2005).

    ADS  Google Scholar 

  200. V. S. Beskin, S. V. Chernov, C. R. Gwinn, and A. A. Tchekhovskoy, Space Sci. Rev. 191, 207 (2015), arXiv: 1506.07881.

    Article  ADS  Google Scholar 

  201. S. A. Petrova, Astron. Astrophys. 424, 227 (2004).

    Article  ADS  Google Scholar 

  202. P. A. Sturrock, Astrophys. J. 164, 529 (1971).

    Article  ADS  Google Scholar 

  203. G. Voisin, F. Mottez, and S. Bonazzola, Mon. Not. R. Astron. Soc. 474, 1436 (2018), arXiv: 1710.04021.

    Article  ADS  Google Scholar 

  204. U. L. Pen, and L. Connor, Astrophys. J. 807, 179 (2015), arXiv: 1501.01341.

    Article  ADS  Google Scholar 

  205. B. W. Meyers, S. E. Tremblay, N. D. R. Bhat, R. M. Shannon, F. Kirsten, M. Sokolowski, S. J. Tingay, S. I. Oronsaye, and S. M. Ord, Astrophys. J. 851, 20 (2017), arXiv: 1709.03651.

    Article  ADS  Google Scholar 

  206. J. R. Pritchard, and A. Loeb, Rep. Prog. Phys. 75, 086901 (2012), arXiv: 1109.6012.

    Article  ADS  Google Scholar 

  207. S. Zaroubi, in The First Galaxies. Astrophysics and Space Science Library, vol 396, edited by T. Wiklind, B. Mobasher, and V. Bromm, (Springer, Berlin, Heidelberg, 2013).

  208. A. Ferrara, and S. Pandolfi, in Proceedings of the International School of Physics “Enrico Fermi”: New Horizons for Observational Cosmology, Rome, Italy, June 30–July 6, 2013, Vol. 186 (Rome, 2014), pp. 1–57.

  209. L. V. E. Koopmans, J. Pritchard, G. Mellema, F. Abdalla, J. Aguirre, K. Ahn, R. Barkana, I. van Bemmel, G. Bernardi, A. Bonaldi, F. Briggs, A. G. de Bruyn, T. C. Chang, E. Chapman, X. Chen, B. Ciardi, K. K. Datta, P. Dayal, A. Ferrara, A. Fialkov, F. Fiore, K. Ichiki, I. T. Illiev, S. Inoue, V. Jelić, M. Jones, J. Lazio, U. Maio, S. Majumdar, K. J. Mack, A. Mesinger, M. F. Morales, A. Parsons, U.-L. Pen, M. Santos, R. Schneider, B. Semelin, R. S. de Souza, R. Subrahmanyan, T. Takeuchi, C. Trott, H. Vedantham, J. Wagg, R. Webster, and S. Wyithe, The Cosmic Dawn and Epoch of Reionization with the Square Kilometre Array: Advancing Astrophysics with the Square Kilometre Array (PoS, Giardini Naxos, 2014).

  210. D. C. Jacobs, J. E. Aguirre, A. R. Parsons, J. C. Pober, R. F. Bradley, C. L. Carilli, N. E. Gugliucci, J. R. Manley, C. van der Merwe, D. F. Moore, and C. R. Parashare, Astrophys. J. 734, L34 (2011), arXiv: 1105.1367.

    Article  ADS  Google Scholar 

  211. G. B. Taylor, S. W. Ellingson, N. E. Kassim, J. Craig, J. Dowell, C. N. Wolfe, J. Hartman, G. Bernardi, T. Clarke, A. Cohen, N. P. Dalal, W. C. Erickson, B. Hicks, L. J. Greenhill, B. Jacoby, W. Lane, J. Lazio, D. Mitchell, R. Navarro, S. M. Ord, Y. Pihlström, E. Polisensky, P. S. Ray, L. J. Rickard, F. K. Schinzel, H. Schmitt, E. Sigman, M. Soriano, K. P. Stewart, K. Stovall, S. Tremblay, D. Wang, K. W. Weiler, S. White, and D. L. Wood, J. Astron. Instrum. 01, 1250004 (2012), arXiv: 1206.6733.

    Article  Google Scholar 

  212. G. Paciga, J. G. Albert, K. Bandura, T. C. Chang, Y. Gupta, C. Hirata, J. Odegova, U. L. Pen, J. B. Peterson, J. Roy, J. R. Shaw, K. Sigurdson, and T. Voytek, Mon. Not. R. Astron. Soc. 433, 639 (2013), arXiv: 1301.5906.

    Article  ADS  Google Scholar 

  213. M. P. van Haarlem, M. W. Wise, A. W. Gunst, G. Heald, J. P. McKean, J. W. T. Hessels, A. G. de Bruyn, R. Nijboer, J. Swinbank, R. Fallows, M. Brentjens, A. Nelles, R. Beck, H. Falcke, R. Fender, J. Horandel, L. V. E. Koopmans, G. Mann, G. Miley, H. Röttgering, B. W. Stappers, R. A. M. J. Wijers, S. Zaroubi, M. van den Akker, A. Alexov, J. Anderson, K. Anderson, A. van Ardenne, M. Arts, A. Asgekar, I. M. Avruch, F. Batejat, L. Bähren, M. E. Bell, M. R. Bell, I. van Bemmel, P. Bennema, M. J. Bentum, G. Bernardi, P. Best, L. Bîrzan, A. Bonafede, A. J. Boonstra, R. Braun, J. Bregman, F. Breitling, R. H. van de Brink, J. Broderick, P. C. Broekema, W. N. Brouw, M. Brüggen, H. R. Butcher, W. van Cappellen, B. Ciardi, T. Coenen, J. Conway, A. Coolen, A. Corstanje, S. Damstra, O. Davies, A. T. Deller, R. J. Dettmar, G. van Diepen, K. Dijkstra, P. Donker, A. Doorduin, J. Dromer, M. Drost, A. van Duin, J. Eislöffel, J. van Enst, C. Ferrari, W. Frieswijk, H. Gankema, M. A. Garrett, F. de Gasperin, M. Gerbers, E. de Geus, J. M. Grießmeier, T. Grit, P. Gruppen, J. P. Hamaker, T. Hassall, M. Hoeft, H. A. Holties, A. Horneffer, A. van der Horst, A. van Houwelingen, A. Huijgen, M. Iacobelli, H. Intema, N. Jackson, V. Jelic, A. de Jong, E. Juette, D. Kant, A. Karastergiou, A. Koers, H. Kollen, V. I. Kondratiev, E. Kooistra, Y. Koopman, A. Koster, M. Kuniyoshi, M. Kramer, G. Kuper, P. Lambropoulos, C. Law, J. van Leeuwen, J. Lemaitre, M. Loose, P. Maat, G. Macario, S. Markoff, J. Masters, R. A. McFadden, D. McKay-Bukowski, H. Meijering, H. Meulman, M. Mevius, E. Middelberg, R. Millenaar, J. C. A. Miller-Jones, R. N. Mohan, J. D. Mol, J. Morawietz, R. Morganti, D. D. Mulcahy, E. Mulder, H. Munk, L. Nieuwenhuis, R. van Nieuwpoort, J. E. Noordam, M. Norden, A. Noutsos, A. R. Offringa, H. Olofsson, A. Omar, E. Orrú, R. Overeem, H. Paas, M. Pandey-Pommier, V. N. Pandey, R. Pizzo, A. Polatidis, D. Rafferty, S. Rawlings, W. Reich, J. P. de Reijer, J. Reitsma, G. A. Renting, P. Riemers, E. Rol, J. W. Romein, J. Roosjen, M. Ruiter, A. Scaife, K. van der Schaaf, B. Scheers, P. Schellart, A. Schoenmakers, G. Schoonderbeek, M. Serylak, A. Shulevski, J. Sluman, O. Smirnov, C. Sobey, H. Spreeuw, M. Steinmetz, C. G. M. Sterks, H. J. Stiepel, K. Stuurwold, M. Tagger, Y. Tang, C. Tasse, I. Thomas, S. Thoudam, M. C. Toribio, B. van der Tol, O. Usov, M. van Veelen, A. J. van der Veen, S. ter Veen, J. P. W. Verbiest, R. Vermeulen, N. Vermaas, C. Vocks, C. Vogt, M. de Vos, E. van der Wal, R. van Weeren, H. Weggemans, P. Weltevrede, S. White, S. J. Wijnholds, T. Wilhelmsson, O. Wucknitz, S. Yatawatta, P. Zarka, A. Zensus, and J. van Zwieten, Astron. Astrophys. 556, A2 (2013), arXiv: 1305.3550.

    Article  Google Scholar 

  214. J. D. Bowman, I. Cairns, D. L. Kaplan, T. Murphy, D. Oberoi, L. Staveley-Smith, W. Arcus, D. G. Barnes, G. Bernardi, F. H. Briggs, S. Brown, J. D. Bunton, A. J. Burgasser, R. J. Cappallo, S. Chatterjee, B. E. Corey, A. Coster, A. Deshpande, L. deSouza, D. Emrich, P. Erickson, R. F. Goeke, B. M. Gaensler, L. J. Greenhill, L. Harvey-Smith, B. J. Hazelton, D. Herne, J. N. Hewitt, M. Johnston-Hollitt, J. C. Kasper, B. B. Kincaid, R. Koenig, E. Kratzenberg, C. J. Lonsdale, M. J. Lynch, L. D. Matthews, S. R. McWhirter, D. A. Mitchell, M. F. Morales, E. H. Morgan, S. M. Ord, J. Pathikulangara, T. Prabu, R. A. Remillard, T. Robishaw, A. E. E. Rogers, A. A. Roshi, J. E. Salah, R. J. Sault, N. U. Shankar, K. S. Srivani, J. B. Stevens, R. Subrahmanyan, S. J. Tingay, R. B. Wayth, M. Waterson, R. L. Webster, A. R. Whitney, A. J. Williams, C. L. Williams, and J. S. B. Wyithe, Publ. Astron. Soc. Aust. 30, e031 (2013), arXiv: 1212.5151.

    Article  ADS  Google Scholar 

  215. H. Zheng, M. Tegmark, V. Buza, J. S. Dillon, H. Gharibyan, J. Hickish, E. Kunz, A. Liu, J. Losh, A. Lutomirski, S. Morrison, S. Narayanan, A. Perko, D. Rosner, N. Sanchez, K. Schutz, S. M. Tribiano, M. Valdez, H. Yang, K. Z. Adami, I. Zelko, K. Zheng, R. P. Armstrong, R. F. Bradley, M. R. Dexter, A. Ewall-Wice, A. Magro, M. Matejek, E. Morgan, A. R. Neben, Q. Pan, R. F. Penna, C. M. Peterson, M. Su, J. Villasenor, C. L. Williams, and Y. Zhu, Mon. Not. R. Astron. Soc. 445, 1084 (2014), arXiv: 1405.5527.

    Article  ADS  Google Scholar 

  216. D. R. DeBoer, A. R. Parsons, J. E. Aguirre, P. Alexander, Z. S. Ali, A. P. Beardsley, G. Bernardi, J. D. Bowman, R. F. Bradley, C. L. Carilli, C. Cheng, E. L. Acedo, J. S. Dillon, A. Ewall-Wice, G. Fadana, N. Fagnoni, R. Fritz, S. R. Furlanetto, B. Glendenning, B. Greig, J. Grobbelaar, B. J. Hazelton, J. N. Hewitt, J. Hickish, D. C. Jacobs, A. Julius, M. C. Kariseb, S. A. Kohn, T. Lekalake, A. Liu, A. Loots, D. MacMahon, L. Malan, C. Malgas, M. Maree, Z. Martinot, N. Mathison, E. Matsetela, A. Mesinger, M. F. Morales, A. R. Neben, N. Patra, S. Pieterse, J. C. Pober, N. Razavi-Ghods, J. Ringuette, J. Robnett, K. Rosie, R. Sell, C. Smith, A. Syce, M. Tegmark, N. Thyagarajan, P. K. G. Williams, and H. Zheng, Publ. Astronom. Soc. Pacif. 129, 045001 (2017), arXiv: 1606.07473.

    Article  ADS  Google Scholar 

  217. Q. Zheng, X. P. Wu, M. Johnston-Hollitt, J. Gu, and H. Xu, Astrophys. J. 832, 190 (2016), arXiv: 1602.06624.

    Article  ADS  Google Scholar 

  218. J. D. Bowman, A. E. E. Rogers, R. A. Monsalve, T. J. Mozdzen, and N. Mahesh, Nature 555, 67 (2018), arXiv: 1810.05912.

    Article  ADS  Google Scholar 

  219. S. Fraser, A. Hektor, G. Hütsi, K. Kannike, C. Marzo, L. Marzola, A. Racioppi, M. Raidal, C. Spethmann, V. Vaskonen, and H. Veermae, Phys. Lett. B 785, 159 (2018), arXiv: 1803.03245.

    Article  ADS  Google Scholar 

  220. K. Cheung, J. L. Kuo, K. W. Ng, and Y. L. S. Tsai, Phys. Lett. B 789, 137 (2019), arXiv: 1803.09398.

    Article  ADS  Google Scholar 

  221. Y. Wang, and G. B. Zhao, Astrophys. J. 869, 26 (2018), arXiv: 1805.11210.

    Article  ADS  Google Scholar 

  222. E. Chapman, F. B. Abdalla, G. Harker, V. Jelić, P. Labropoulos, S. Zaroubi, M. A. Brentjens, A. G. de Bruyn, and L. V. E. Koopmans, Mon. Not. R. Astron. Soc. 423, 2518 (2012), arXiv: 1201.2190.

    Article  ADS  Google Scholar 

  223. A. E. E. Rogers, and J. D. Bowman, Radio Sci. 47, RS0K06 (2012), arXiv: 1209.1106.

    Article  Google Scholar 

  224. R. A. Monsalve, A. E. E. Rogers, J. D. Bowman, and T. J. Mozdzen, Astrophys. J. 835, 49 (2017), arXiv: 1602.08065.

    Article  ADS  Google Scholar 

  225. A. Connolly, and A. G. Vieregg, in Neutrino Astronomy—Current Status, Future Prospects, edited by T. Gaisser, and A. Karle (World Scientific, Singapore, 2017), pp. 217–240.

  226. F. G. Schröder, Prog. Particle Nucl. Phys. 93, 1 (2017), arXiv: 1607.08781.

    Article  ADS  Google Scholar 

  227. T. Huege, and D. Besson, Prof. Theor. Exp. Phys. 2017, 12A106 (2017), arXiv: 1701.02987.

    Google Scholar 

  228. T. K. Gaisser, R. Engel, and E. Resconi, Cosmic Rays and Particle Physics, 2nd ed. (Cambridge University Press, Cambridge, 2016).

    Google Scholar 

  229. F. D. Kahn, and I. Lerche, Proc. R. Soc. Lond. A 289, 206 (1966).

    Article  ADS  Google Scholar 

  230. G. A. Askaryan, Sov. Phys. JETP 14, 441 (1962).

    Google Scholar 

  231. G. A. Askaryan, Sov. Phys. JETP 48, 988 (1965).

    Google Scholar 

  232. J. Alvarez-Muñiz, W. R. Carvalho Jr., D. García-Fernández, H. Schoorlemmer, and E. Zas, Astropart. Phys. 66, 31 (2015), arXiv: 1502.02117.

    Article  ADS  Google Scholar 

  233. A. Nelles, P. Schellart, S. Buitink, A. Corstanje, K. D. de Vries, J. E. Enriquez, H. Falcke, W. Frieswijk, J. R. Hörandel, O. Scholten, S. ter Veen, S. Thoudam, M. van den Akker, J. Anderson, A. Asgekar, M. E. Bell, M. J. Bentum, G. Bernardi, P. Best, J. Bregman, F. Breitling, J. Broderick, W. N. Brouw, M. Brüggen, H. R. Butcher, B. Ciardi, A. Deller, S. Duscha, J. Eislöffel, R. A. Fallows, M. A. Garrett, A. W. Gunst, T. E. Hassall, G. Heald, A. Horneffer, M. Iacobelli, E. Juette, A. Karastergiou, V. I. Kondratiev, M. Kramer, M. Kuniyoshi, G. Kuper, P. Maat, G. Mann, M. Mevius, M. J. Norden, H. Paas, M. Pandey-Pommier, G. Pietka, R. Pizzo, A. G. Polatidis, W. Reich, H. Röttgering, A. M. M. Scaife, D. Schwarz, O. Smirnov, B. W. Stappers, M. Steinmetz, A. Stewart, M. Tagger, Y. Tang, C. Tasse, R. Vermeulen, C. Vocks, R. J. van Weeren, S. J. Wijnholds, O. Wucknitz, S. Yatawatta, and P. Zarka, Astropart. Phys. 65, 11 (2015), arXiv: 1411.6865.

    Article  ADS  Google Scholar 

  234. S. P. Knurenko, and A. Sabourov, Astrophys. Space Sci. Trans. 7, 251 (2011), arXiv: 1010.1185.

    Article  ADS  Google Scholar 

  235. S. P. Knurenko, and A. Sabourov, Nucl. Phys. B-Proc. Suppl. 212–213, 241 (2011).

    Article  ADS  Google Scholar 

  236. V. V. Prosin, N. M. Budnev, A. Chiavassa, A. N. Dyachok, S. N. Epimakhov, F. Fenu, Y. A. Fomin, O. A. Gress, T. I. Gress, N. N. Kalmykov, N. I. Karpov, E. E. Korosteleva, V. A. Kozhin, L. A. Kuzmichev, B. K. Lubsandorzhiev, N. B. Lubsandorzhiev, R. R. Mirgazov, R. D. Monhoev, E. A. Osipova, M. I. Panasyuk, L. V. Pankov, E. G. Popova, V. S. Ptuskin, Y. A Semeney, A. A. Silaev, A. A. Silaev Jr., A. V. Skurikhin, C. Spiering, V. P. Sulakov, L. G. Sveshnikova, and A. V. Zagorodnikov, J. Phys.-Conf. Ser. 718, 052031 (2016).

    Article  Google Scholar 

  237. T. Abu-Zayyad, K. Belov, D. J. Bird, J. Boyer, Z. Cao, M. Catanese, G. F. Chen, R. W. Clay, C. E. Covault, H. Y. Dai, B. R. Dawson, J. W. Elbert, B. E. Fick, L. F. Fortson, J. W. Fowler, K. G. Gibbs, M. A. K. Glasmacher, K. D. Green, Y. Ho, A. Huang, C. C. Jui, M. J. Kidd, D. B. Kieda, B. C. Knapp, S. Ko, C. G. Larsen, W. Lee, E. C. Loh, E. J. Mannel, J. Matthews, J. N. Matthews, B. J. Newport, D. F. Nitz, R. A. Ong, K. M. Simpson, J. D. Smith, D. Sinclair, P. Sokolsky, P. Sommers, C. Song, J. K. K. Tang, S. B. Thomas, J. C. van der Velde, L. R. Wiencke, C. R. Wilkinson, S. Yoshida, and X. Z. Zhang, Astrophys. J. 557, 686 (2001).

    Article  ADS  Google Scholar 

  238. R. U. Abbasi, T. Abu-Zayyad, M. Al-Seady, M. Allen, J. F. Amman, R. J. Anderson, G. Archbold, K. Belov, J. W. Belz, D. R. Bergman, S. A. Blake, O. A. Brusova, G. W. Burt, C. Cannon, Z. Cao, W. Deng, Y. Fedorova, C. B. Finley, R. C. Gray, W. F. Hanlon, C. M. Hoffman, M. H. Holzscheiter, G. Hughes, P. Hüntemeyer, D. Ivanov, B. F. Jones, C. C. H. Jui, K. Kim, M. A. Kirn, E. C. Loh, J. Liu, J. P. Lundquist, M. M. Maestas, N. Manago, L. J. Marek, K. Martens, J. A. J. Matthews, J. N. Matthews, S. A. Moore, A. O’Neill, C. A. Painter, L. Perera, K. Reil, R. Riehle, M. Roberts, D. Rodriguez, N. Sasaki, S. R. Schnetzer, L. M. Scott, G. Sinnis, J. D. Smith, P. Sokolsky, C. Song, R. W. Springer, B. T. Stokes, S. Stratton, S. B. Thomas, J. R. Thomas, G. B. Thomson, D. Tupa, A. Zech, and X. Zhang, Phys. Rev. Lett. 104, 161101 (2010), arXiv: 0910.4184.

    Article  ADS  Google Scholar 

  239. J. Belz, in Proceedings of the 34th International Cosmic Ray Conference (ICRC 2015) (PoS, The Hague, 2015), p. 351.

  240. J. Bellido, in The Pierre Auger Observatory: Contributions to the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017), pp. 40–47.

  241. P. Sanchez-Lucas, in The Pierre Auger Observatory: Contributions to the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017), pp. 48–55.

  242. S. Buitink, A. Corstanje, H. Falcke, J. R. Hörandel, T. Huege, A. Nelles, J. P. Rachen, L. Rossetto, P. Schellart, O. Scholten, S. ter Veen, S. Thoudam, T. N. G. Trinh, J. Anderson, A. Asgekar, I. M. Avruch, M. E. Bell, M. J. Bentum, G. Bernardi, P. Best, A. Bonafede, F. Breitling, J. W. Broderick, W. N. Brouw, M. Brüggen, H. R. Butcher, D. Carbone, B. Ciardi, J. E. Conway, F. de Gasperin, E. de Geus, A. Deller, R. J. Dettmar, G. van Diepen, S. Duscha, J. Eislöffel, D. Engels, J. E. Enriquez, R. A. Fallows, R. Fender, C. Ferrari, W. Frieswijk, M. A. Garrett, J. M. Grießmeier, A. W. Gunst, M. P. van Haarlem, T. E. Hassall, G. Heald, J. W. T. Hessels, M. Hoeft, A. Horneffer, M. Iacobelli, H. Intema, E. Juette, A. Karastergiou, V. I. Kondratiev, M. Kramer, M. Kuniyoshi, G. Kuper, J. van Leeuwen, G. M. Loose, P. Maat, G. Mann, S. Markoff, R. McFadden, D. McKay-Bukowski, J. P. McKean, M. Mevius, D. D. Mulcahy, H. Munk, M. J. Norden, E. Orru, H. Paas, M. Pandey-Pommier, V. N. Pandey, M. Pietka, R. Pizzo, A. G. Polatidis, W. Reich, H. J. A. Röttgering, A. M. M. Scaife, D. J. Schwarz, M. Serylak, J. Sluman, O. Smirnov, B. W. Stappers, M. Steinmetz, A. Stewart, J. Swinbank, M. Tagger, Y. Tang, C. Tasse, M. C. Toribio, R. Vermeulen, C. Vocks, C. Vogt, R. J. van Weeren, R. A. M. J. Wijers, S. J. Wijnholds, M. W. Wise, O. Wucknitz, S. Yatawatta, P. Zarka, and J. A. Zensus, Nature 531, 70 (2016), arXiv: 1603.01594.

    Article  ADS  Google Scholar 

  243. P. Homola, M. Risse, D. Góra, D. Heck, H. Klages, J. Pȩkala, B. Wilczyńska, and H. Wilczyński, Nucl. Phys. B-Proc. Suppl. 151, 119 (2006).

    Article  ADS  Google Scholar 

  244. J. Alvarez-Muñiz, W. R. Carvalho Jr., and E. Zas, Astroparticle Phys. 35, 325 (2012), arXiv: 1107.1189.

    Article  ADS  Google Scholar 

  245. S. Palomares-Ruiz, A. Irimia, and T. J. Weiler, Phys. Rev. D 73, 083003 (2006).

    Article  ADS  Google Scholar 

  246. J. Alvarez-Muñiz, W. R. Carvalho, A. Romero-Wolf, M. Tueros, and E. Zas, Phys. Rev. D 86, 123007 (2012), arXiv: 1208.0951.

    Article  ADS  Google Scholar 

  247. K. D. de Vries, O. Scholten, and K. Werner, Astropart. Phys. 45, 23 (2013), arXiv: 1304.1321.

    Article  ADS  Google Scholar 

  248. A. Aab, et al. (The Pierre Auger Collaboration), J. Cosmol. Astropart. Phys. 2018, 026 (2018), arXiv: 1806.05386.

    Article  Google Scholar 

  249. R. Gandhi, C. Quigg, M. H. Reno, and I. Sarcevic, Phys. Rev. D 58, 093009 (1998).

    Article  ADS  Google Scholar 

  250. T. Huege, M. Ludwig, and C. W. James, AIP Conf. Proc. 1535, 128 (2013).

    Article  ADS  Google Scholar 

  251. T. Huege, Phys. Rep. 620, 1 (2016), arXiv: 1601.07426.

    Article  ADS  MathSciNet  Google Scholar 

  252. K. D. de Vries, S. Buitink, N. van Eijndhoven, T. Meures, A. Ó Murchadha, and O. Scholten, Astropart. Phys. 74, 96 (2016), arXiv: 1503.02808.

    Article  ADS  Google Scholar 

  253. P. Motloch, J. Alvarez-Muñiz, P. Privitera, and E. Zas, Phys. Rev. D 93, 043010 (2016), arXiv: 1509.01584; Phys. Rev. D 94, 049905 (2016).

    Article  ADS  Google Scholar 

  254. L. D. Landau, and I. Pomeranchuk, Dokl. Akad. Nauk Ser. Fiz. 92, 535 (1953).

    Google Scholar 

  255. L. D. Landau, and I. Pomeranchuk, Dokl. Akad. Nauk Ser. Fiz. 92, 735 (1953).

    Google Scholar 

  256. A. B. Migdal, Phys. Rev. 103, 1811 (1956).

    Article  ADS  Google Scholar 

  257. M. Tartare, D. Lebrun, and F. Montanet, Phys. Rev. D 86, 033005 (2012), arXiv: 1211.6992.

    Article  ADS  Google Scholar 

  258. J. Alvarez-Muñiz, and E. Zas, Phys. Lett. B 411, 218 (1991).

    Article  ADS  Google Scholar 

  259. D. E. Groom, N. V. Mokhov, and S. I. Striganov, Atomic Data Nucl. Data Tables 78, 183 (2001).

    Article  ADS  Google Scholar 

  260. A. C. Vincent, C. A. Argüelles, and A. Kheirandish, J. Cosmol. Astropart. Phys. 2017, 012 (2017), arXiv: 1706.09895.

    Article  Google Scholar 

  261. D. Fargion, A. Aiello, and R. Conversano, in Proceedings of the 26th International Cosmic RayConference, August 17–25, 1999 (Salt Lake City, 1999), p. 396, arXiv: astro-ph/9906450.

  262. J. Alvarez-Muñiz, W. R. Carvalho, K. Payet, A. Romero-Wolf, H. Schoorlemmer, and E. Zas, Phys. Rev. D 97, 023021 (2018), arXiv: 1707.00334.

    Article  ADS  Google Scholar 

  263. S. L. Glashow, Phys. Rev. 118, 316 (1960).

    Article  ADS  Google Scholar 

  264. A. Loewy, S. Nussinov, and S. L. Glashow, arXiv: 1407.4415.

  265. A. Balagopal V., A. Haungs, T. Huege, and F. G. Schröder, Eur. Phys. J. C 78, 111 (2018), arXiv: 1712.09042.

    Article  ADS  Google Scholar 

  266. D. Charrier, Nucl. Instrum. Meth. Phys. Res. Sect. A 662, S142 (2012).

    Article  Google Scholar 

  267. P. Abreu, et al. (The Pierre Auger Collaboration), J. Inst. 7, P10011 (2012), arXiv: 1209.3840.

    Google Scholar 

  268. G. J. Burke, Numerical Electromagnetic Codes — User’s Manual, 1992.

  269. F. Montanet, D. Lebrun, J. Chauvin, E. Lagorio, and P. Stassi, Astrophys. Space Sci. Trans. 7, 369 (2011).

    Article  ADS  Google Scholar 

  270. International Telecomunication Union, Recommendation ITU-R P. 372–12 (2015/07), 2015, https://doi.org/www.itu.int/rec/R-REC-P.372-12-201507-S/en.

  271. J. Lamblin, in Proceedings of the 30th International Cosmic Ray Conference (ICRC 2007) (PoS, Yucatan, 2007), pp. 921–924.

  272. S. Le Coz, (TREND), in Proceedings of the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017).

  273. M. J. Mottram, A Search for Ultra-high Energy Neutrinos and Cosmic-Rays with ANITA-2 (Springer, London, 2012).

    Book  Google Scholar 

  274. S. W. Barwick, D. Z. Besson, A. Burgman, E. Chiem, A. Hallgren, J. C. Hanson, S. R. Klein, S. A. Kleinfelder, A. Nelles, C. Persichilli, S. Phillips, T. Prakash, C. Reed, S. R. Shively, J. Tatar, E. Unger, J. Walker, and G. Yodh, Astropart. Phys. 90, 50 (2017), arXiv: 1612.04473.

    Article  ADS  Google Scholar 

  275. P. Schellart, S. Buitink, A. Corstanje, J. E. Enriquez, H. Falcke, J. R. Horandel, M. Krause, A. Nelles, J. P. Rachen, O. Scholten, S. Veen, S. Thoudam, and T. N. G. Trinh, J. Cosmol. Astropart. Phys. 2014, 014 (2014), arXiv: 1406.1355.

    Article  Google Scholar 

  276. H. Carduner, D. Charrier, R. Dallier, L. Denis, A. Escudie, D. García-Fernández, F. Gaté, A. Lecacheux, V. Marin, L. Martin, B. Revenu, and M. Tueros, arXiv: 1710.02487.

  277. V. Niess, and O. Martineau-Huynh, arXiv: 1810.01978.

  278. V. Niess, DANTON: DecAyiNg Taus frOm Neutrinos, 2017, https://doi.org/github.com/niess/danton.

  279. S. Dulat, T. J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, and C. P. Yuan, Phys. Rev. D 93, 033006 (2016), arXiv: 1506.07443.

    Article  ADS  Google Scholar 

  280. V. Niess, PUMAS: Semi Analytical MUons-or taus-Propagation, backwards, 2016, https://doi.org/niess.github.io/pumas-pages.

  281. S. Iyer Dutta, M. H. Reno, I. Sarcevic, and D. Seckel, Phys. Rev. D 63, 094020 (2001).

    Article  ADS  Google Scholar 

  282. S. Jadach, Z. Waąs, R. Decker, and J. H. Kühn, Comput. Phys. Commun. 76, 361 (1993).

    Article  ADS  Google Scholar 

  283. V. Niess, TURTLE: Topographic Utilities for Transporting Particles OverLong Ranges, 2016, https://doi.org/niess.github.io/turtle/.

  284. NASA, and JPL, NASA Shuttle Radar Topography Mission Global 1 arc second, NASA EOSDIS Land Processes DAAC (NASA, 2013).

  285. V. Niess, A. Barnoud, C. Carloganu, and E. Le Ménédeu, Comput. Phys. Commun. 229, 54 (2018), arXiv: 1705.05636.

    Article  ADS  MathSciNet  Google Scholar 

  286. V. Niess, RETRO: Radio nEuTRino simulatiOn (RETRO) for GRAND, 2017, https://doi.org/github.com/grand-mother/retro.

  287. K. D. de Vries, O. Scholten, and K. Werner, AIP Conf. Proc. 1535, 138 (2013).

    Article  ADS  Google Scholar 

  288. A. Zilles, O. Martineau-Huynh, K. Kotera, M. Tueros, K. de Vries, W. Carvalho Jr., V. Niess, N. Renault-Tinacci, and V. Decoene, arXiv: 1809.04912.

  289. M. Ave, R. Engel, and J. Gonzalez, in Extensive Air Shower Universality of Ground Particle Distributions, 32nd International Cosmicray Conference (Beijing, 2011).

  290. C. A. Balanis, Antenna Theory: Analysis and Design (John Wiley, Hoboken, 2005).

    Google Scholar 

  291. International Telecomunication Union, Propagation by diffraction—Recommendation ITU-R P.526–14, Technical Report (ITU, 2018).

  292. F. Führer, T. Charnock, A. Zilles, and M. Tueros, arXiv: 1809.01934.

  293. M. Erdmann, F. Schlueter, and R. Smida, J. Instrum. 14, P04005 (2019), arXiv: 1901.04079.

    Article  Google Scholar 

  294. K. Fang, J. Álvarez-Muüiz, R. Alves Batista, M. Bustamante, W. Carvalho, D. Charrier, I. Cognard, S. De Jong, K. D. de Vries, C. Finley, Q. Gou, J. Gu, C. Guépin, J. Hanson, H. Hu, K. Kotera, S. Le Coz, Y. Mao, O. Martineau-Huynh, C. Medina, M. Mostafa, F. Mottez, K. Murase, V. Niess, F. Oikonomou, F. Schröder, C. Tasse, C. Timmermans, N. Renault-Tinacci, M. Tueros, X. Wu, P. Zarka, A. Zech, Y. Zhang, Q. Zheng, and A. Zilles, in Proceedings of the 35th International Cosmic Ray Conference (ICRC2017) (PoS, Bexco, 2017), p. 996.

  295. G. J. Feldman, and R. D. Cousins, Phys. Rev. D 57, 3873 (1998).

    Article  ADS  Google Scholar 

  296. R. U. Abbasi, et al. (The Telescope Array Collaboration), Astropart. Phys. 80, 131 (2016).

    Article  ADS  Google Scholar 

  297. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. Lett. 116, 241101 (2016), arXiv: 1605.02564.

    Article  ADS  Google Scholar 

  298. D. Kostunin, P. A. Bezyazeekov, N. M. Budnev, D. Chernykh, O. Fedorov, O. A. Gress, A. Haungs, R. Hiller, T. Huege, Y. Kazarina, M. Kleifges, E. E. Korosteleva, O. Krömer, L. A. Kuzmichev, V. Lenok, N. Lubsandorzhiev, T. Marshalkina, R. R. Mirgazov, R. Monkhoev, E. Osipova, A. Pakhorukov, L. Pankov, V. V. Prosin, F. G. Schröder, and A. Zagorodnikov, arXiv: 1711.11067.

  299. D. Ardouin, C. Carloganu, D. Charrier, Q. Gou, H. Hu, L. Kai, P. Lautridou, O. Martineau-Huynh, V. Niess, O. Ravel, T. Saugrin, X. Wu, J. Zhang, Y. Zhang, M. Zhao, and Y. Zheng, Astropart. Phys. 34, 717 (2011), arXiv: 1007.4359.

    Article  ADS  Google Scholar 

  300. W. D. Apel, J. C. Arteaga-Velázquez, L. Bähren, K. Bekk, M. Bertaina, P. L. Biermann, J. Blümer, H. Bozdog, I. M. Brancus, E. Cantoni, A. Chiavassa, K. Daumiller, V. de Souza, F. D. Pierro, P. Doll, R. Engel, H. Falcke, B. Fuchs, H. Gemmeke, C. Grupen, A. Haungs, D. Heck, J. R. Hörandel, A. Horneffer, D. Huber, T. Huege, P. G. Isar, K. H. Kampert, D. Kang, O. Krömer, J. Kuijpers, K. Link, P. Łuczak, M. Ludwig, H. J. Mathes, M. Melissas, C. Morello, J. Oehlschläger, N. Palmieri, T. Pierog, J. Rautenberg, H. Rebel, M. Roth, C. Rühle, A. Saftoiu, H. Schieler, A. Schmidt, S. Schoo, F. G. Schröder, O. Sima, G. Toma, G. C. Trinchero, A. Weindl, J. Wochele, J. Zabierowski, and J. A. Zensus, J. Cosmol. Astropart. Phys. 2014, 025 (2014), arXiv: 1404.3283.

    Article  Google Scholar 

  301. A. Corstanje, P. Schellart, A. Nelles, S. Buitink, J. E. Enriquez, H. Falcke, W. Frieswijk, J. R. Hörandel, M. Krause, J. P. Rachen, O. Scholten, S. ter Veen, S. Thoudam, T. N. G. Trinh, M. van den Akker, A. Alexov, J. Anderson, I. M. Avruch, M. E. Bell, M. J. Bentum, G. Bernardi, P. Best, A. Bonafede, F. Breitling, J. Broderick, M. Brüggen, H. R. Butcher, B. Ciardi, F. de Gasperin, E. de Geus, M. de Vos, S. Duscha, J. Eislöffel, D. Engels, R. A. Fallows, C. Ferrari, M. A. Garrett, J. Grießmeier, A. W. Gunst, J. P. Hamaker, M. Hoeft, A. Horneffer, M. Iacobelli, E. Juette, A. Karastergiou, J. Kohler, V. I. Kondratiev, M. Kuniyoshi, G. Kuper, P. Maat, G. Mann, R. McFadden, D. McKay-Bukowski, M. Mevius, H. Munk, M. J. Norden, E. Orru, H. Paas, M. Pandey-Pommier, V. N. Pandey, R. Pizzo, A. G. Polatidis, W. Reich, H. Röttgering, A. M. M. Scaife, D. Schwarz, O. Smirnov, A. Stewart, M. Steinmetz, J. Swinbank, M. Tagger, Y. Tang, C. Tasse, C. Toribio, R. Vermeulen, C. Vocks, R. J. van Weeren, S. J. Wijnholds, O. Wucknitz, S. Yatawatta, and P. Zarka, Astropart. Phys. 61, 22 (2015), arXiv: 1404.3907.

    Article  ADS  Google Scholar 

  302. O. Martineau-Huynh (TREND), arXiv: 1204.1599.

  303. A. Aab, et al. (The Pierre Auger Collaboration), J. Inst. 11, P01018 (2016), arXiv: 1512.02216.

    Google Scholar 

  304. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 93, 122005 (2016), arXiv: 1508.04267.

    Article  ADS  Google Scholar 

  305. D. Kostunin, P. A. Bezyazeekov, R. Hiller, F. G. Schröder, V. Lenok, and E. Levinson, Astropart. Phys. 74, 79 (2016), arXiv: 1504.05083.

    Article  ADS  Google Scholar 

  306. W. D. Apel, J. C. Arteaga-Velazquez, L. Bähren, K. Bekk, M. Bertaina, P. L. Biermann, J. Blümer, H. Bozdog, I. M. Brancus, E. Cantoni, A. Chiavassa, K. Daumiller, V. de Souza, F. Di Pierro, P. Doll, R. Engel, H. Falcke, B. Fuchs, D. Fuhrmann, H. Gemmeke, C. Grupen, A. Haungs, D. Heck, J. R. Hörandel, A. Horneffer, D. Huber, T. Huege, P. G. Isar, K. H. Kampert, D. Kang, O. Krömer, J. Kuijpers, K. Link, P. Łuczak, M. Ludwig, H. J. Mathes, M. Melissas, C. Morello, J. Oehlschläger, N. Palmieri, T. Pierog, J. Rautenberg, H. Rebel, M. Roth, C. Rühle, A. Saftoiu, H. Schieler, A. Schmidt, F. G. Schröder, O. Sima, G. Toma, G. C. Trinchero, A. Weindl, J. Wochele, J. Zabierowski, and J. A. Zensus, Phys. Rev. D 90, 062001 (2014), arXiv: 1408.2346.

    Article  ADS  Google Scholar 

  307. S. Buitink, A. Corstanje, J. E. Enriquez, H. Falcke, J. R. Hörandel, T. Huege, A. Nelles, J. P. Rachen, P. Schellart, O. Scholten, S. ter Veen, S. Thoudam, and T. N. G. Trinh, Phys. Rev. D 90, 082003 (2014), arXiv: 1408.7001.

    Article  ADS  Google Scholar 

  308. P. A. Bezyazeekov, N. M. Budnev, D. Chernykh, O. Fedorov, O. A. Gress, A. Haungs, R. Hiller, T. Huege, Y. Kazarina, M. Kleifges, D. Kostunin, E. E. Korosteleva, L. A. Kuzmichev, V. Lenok, N. Lubsandorzhiev, T. Marshalkina, R. R. Mirgazov, R. Monkhoev, E. Osipova, A. Pakhorukov, L. Pankov, V. V. Prosin, F. G. Schröder, D. Shipilov, and A. Zagorodnikov, Phys. Rev. D 97, 122004 (2018), arXiv: 1803.06862.

    Article  ADS  Google Scholar 

  309. B. W. Stappers, J. W. T. Hessels, A. Alexov, K. Anderson, T. Coenen, T. Hassall, A. Karastergiou, V. I. Kondratiev, M. Kramer, J. van Leeuwen, J. D. Mol, A. Noutsos, J. W. Romein, P. Weltevrede, R. Fender, R. A. M. J. Wijers, L. Bä hren, M. E. Bell, J. Broderick, E. J. Daw, V. S. Dhillon, J. Eislöffel, H. Falcke, J. Griessmeier, C. Law, S. Markoff, J. C. A. Miller-Jones, B. Scheers, H. Spreeuw, J. Swinbank, S. ter Veen, M. W. Wise, O. Wucknitz, P. Zarka, J. Anderson, A. Asgekar, I. M. Avruch, R. Beck, P. Bennema, M. J. Bentum, P. Best, J. Bregman, M. Brentjens, R. H. van de Brink, P. C. Broekema, W. N. Brouw, M. Brüggen, A. G. de Bruyn, H. R. Butcher, B. Ciardi, J. Conway, R. J. Dettmar, A. van Duin, J. van Enst, M. Garrett, M. Gerbers, T. Grit, A. Gunst, M. P. van Haarlem, J. P. Hamaker, G. Heald, M. Hoeft, H. Holties, A. Horneffer, L. V. E. Koopmans, G. Kuper, M. Loose, P. Maat, D. McKay-Bukowski, J. P. McKean, G. Miley, R. Morganti, R. Nijboer, J. E. Noordam, M. Norden, H. Olofsson, M. Pandey-Pommier, A. Polatidis, W. Reich, H. Röttgering, A. Schoenmakers, J. Sluman, O. Smirnov, M. Steinmetz, C. G. M. Sterks, M. Tagger, Y. Tang, R. Vermeulen, N. Vermaas, C. Vogt, M. de Vos, S. J. Wijnholds, S. Yatawatta, and A. Zensus, Astron. Astrophys. 530, A80 (2011), arXiv: 1104.1577.

    Article  Google Scholar 

  310. Q. Gou (GRANDProto35), in Proceedings of the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017).

  311. D. Ardouin, A. Belletoile, C. Berat, D. Breton, D. Charrier, J. Chauvin, M. Chendeb, A. Cordier, S. Dagoret-Campagne, R. Dallier, L. Denis, C. Dumez-Viou, C. Fabrice, T. Garçon, X. Garrido, N. Gautherot, T. Gousset, F. Haddad, D. H. Koang, J. Lamblin, P. Lautridou, D. Lebrun, A. Lecacheux, F. Lefeuvre, L. Martin, E. Meyer, F. Meyer, N. Meyer-Vernet, D. Monnier-Ragaigne, F. Montanet, K. Payet, G. Plantier, O. Ravel, B. Revenu, C. Riviere, T. Saugrin, A. Sourice, P. Stassi, A. Stutz, and S. Valcares, Astropart. Phys. 31, 192 (2009), arXiv: 0901.4502.

    Article  ADS  Google Scholar 

  312. O. Martineau-Huynh, et al. (GRAND), EPJ Web Conf. 135, 02001 (2017), arXiv: 1702.01395.

    Article  Google Scholar 

  313. E. M. Holt, in The Pierre Auger Observatory: Contributions to the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, 2017), p. 492.

  314. E. Zas, New J. Phys. 7, 130 (2005), arXiv: astro-ph/0504610.

    Article  ADS  Google Scholar 

  315. M. Nagano, and A. A. Watson, Rev. Mod. Phys. 72, 689 (2000).

    Article  ADS  Google Scholar 

  316. A. Letessier-Selvon, and T. Stanev, Rev. Mod. Phys. 83, 907 (2011), arXiv: 1103.0031.

    Article  ADS  Google Scholar 

  317. I. A. Grenier, J. H. Black, and A. W. Strong, Annu. Rev. Astron. Astrophys. 53, 199 (2015).

    Article  ADS  Google Scholar 

  318. B. R. Dawson, M. Fukushima, and P. Sokolsky, arXiv: 1703.07897.

  319. P. Billoir, M. Settimo, and M. Blanco, Astropart. Phys. 74, 14 (2016), arXiv: 1508.04354.

    Article  ADS  Google Scholar 

  320. T. Abu-Zayyad, K. Belov, D. J. Bird, J. Boyer, Z. Cao, M. Catanese, G. F. Chen, R. W. Clay, C. E. Covault, J. W. Cronin, H. Y. Dai, B. R. Dawson, J. W. Elbert, B. E. Fick, L. F. Fortson, J. W. Fowler, K. G. Gibbs, M. A. K. Glasmacher, K. D. Green, Y. Ho, A. Huang, C. C. Jui, M. J. Kidd, D. B. Kieda, B. C. Knapp, S. Ko, C. G. Larsen, W. Lee, E. C. Loh, E. J. Mannel, J. Matthews, J. N. Matthews, B. J. Newport, D. F. Nitz, R. A. Ong, K. M. Simpson, J. D. Smith, D. Sinclair, P. Sokolsky, P. Sommers, C. Song, J. K. K. Tang, S. B. Thomas, J. C. van der Velde, L. R. Wiencke, C. R. Wilkinson, S. Yoshida, and X. Z. Zhang, Phys. Rev. Lett. 84, 4276 (2000), arXiv: astro-ph/9911144.

    Article  ADS  Google Scholar 

  321. Y. A. Fomin, N. N. Kalmykov, I. S. Karpikov, G. V. Kulikov, M. Y. Kuznetsov, G. I. Rubtsov, V. P. Sulakov, and S. V. Troitsky, Astropart. Phys. 92, 1 (2017), arXiv: 1609.05764.

    Article  ADS  Google Scholar 

  322. H. Dembinski, et al. (the IceCube Collaboration), EPJ Web Conf. 145, 01003 (2017).

    Article  Google Scholar 

  323. A. G. Bogdanov, R. P. Kokoulin, G. Mannocchi, A. A. Petrukhin, O. Saavedra, V. V. Shutenko, G. Trinchero, and I. I. Yashin, Astropart. Phys. 98, 13 (2018).

    Article  ADS  Google Scholar 

  324. J. A. Bellido, R. W. Clay, N. N. Kalmykov, I. S. Karpikov, G. I. Rubtsov, S. V. Troitsky, and J. Ulrichs, Phys. Rev. D 98, 023014 (2018), arXiv: 1803.08662.

    Article  ADS  Google Scholar 

  325. M. Plum, et al. (The Pierre Auger Collaboration), JPS Conf. Proc. 19, 011011 (2018).

    Google Scholar 

  326. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 93, 072006 (2016), arXiv: 1604.00978.

    Article  ADS  Google Scholar 

  327. A. Aab, et al. (The Pierre Auger Collaboration), Phys. Rev. D 96, 122003 (2017), arXiv: 1710.07249.

    Article  ADS  Google Scholar 

  328. E. Kido, in Proceedings of the 38th International Conference on High Energy Physics (ICHEP 2016) (PoS, Chicago, 2016).

  329. C. Timmermans, in The Pierre Auger Observatory: Contributions to the 35th International Cosmic Ray Conference (ICRC 2017) (PoS, Busan, 2017), p. 392.

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The GRAND project is supported by the APACHE of the French Agence Nationale de la Recherche (Grant No. ANR-16-CE31-0001), the France-China Particle Physics Laboratory, the China Exchange Program from the Royal Netherlands Academy of Arts and Sciences and the Chinese Academy of Sciences, the Key Projects of Frontier Science of the Chinese Academy of Sciences (Grant No. QYZDY-SSW-SLH022), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB23000000), and the National Key R&D Program of China (Grant No. 2018YFA0404601). Rafael Alves Batista is supported by Sao Paulo Research Foundation (FAPESP) (Grant No. 2017/12828-4). Mauricio Bustamante is partially supported from National Science Foundation (Grant Nos. PHY-1404311, and PHY-1714479). Mauricio Bustamante and Peter B. Denton are supported by Danish National Research Foundation (DNRF91), Danmarks Grundforskningsfond (Grant No. 1041811001), and Villum Fonden(Grant No. 13164). Washington Carvalho Jr. is supported by São Paulo Research Foundation (FAPESP) (Grant No. 2015/15735-1). QuanBu Gou is supported by the National Natural Science Foundation of China (Grant No. 11375209). Krijn D. De Vries is supported by the Flemish Foundation for Scientific Research (Grant No. FWO-12L3715N — K. D. de Vries). Charles Timmermans is supported by the Netherlands Organisation for Scientific Research (NWO). XiangPing Wu is supported by the Key Projects of Frontier Science of Chinese Academy of Sciences, (Grant No. QYZDY-SSW-SLH022), and the Strategic Priority Research Program of Chinese Academy of Sciences, (Grant No. XDB23000000). JianLi Zhang is supported by the National Natural Science Foundation of China (Grant No. 11505213), and “Data analysis for radio detection array at 21CMA base”. We thank Markus Ahlers, Daniel Ardouin, Johannes Blümer, Jordan Hanson, Andreas Haungs, Naoko Kurahashi, Pascal Lautridou, François Montanet, Angela Olinto, Andres Romero-Wolf, Subir Sarkar, Abigail Vieregg, and Stephanie Wissel for useful discussion and comments on the manuscript; Feng Yang and the staff in Ulastai; the engineers who developed the GRANDProto35 electronics, Julien Coridian, Jacques David, Olivier Le Dortz, David Martin, and Patrick Nayman; and the groups ofFuShun Zhang and LiXin Guo, who built the GRANDProto35 antennas and the Horizon Antennaprototypes. The GRAND neutrino simulations were run through the France-Asia Virtual Organisation on the IN2P3 computing center, the GRIF-LPNHE computing grid, the IHEP computing center. Part of the simulations was performed on the computational resource ForHLR I funded by the Ministry of Science, Research and the Arts Baden-Württemberg and DFG (“Deutsche Forschungsgemeinschaft”). The GRAND cosmic-ray simulations were run on the Horizon Cluster, hosted by the Institut d’Astrophysique de Paris. The SRTMGL1 (v3) topographical data used in this study were retrieved from the online USGS EarthExplorer and NASA Earthdata Search tools, courtesy of the NASA EOSDIS Land Processes Distributed Active Archive Center (LP DAAC), USGS/Earth Resources Observation and Science (EROS) Center, Sioux Falls, South Dakota. Figures2and16were designed for the GRAND Collaboration by Ingrid Delgado.

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Álvarez-Muñiz, J., Alves Batista, R., Balagopal V., A. et al. The Giant Radio Array for Neutrino Detection (GRAND): Science and design. Sci. China Phys. Mech. Astron. 63, 219501 (2020). https://doi.org/10.1007/s11433-018-9385-7

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