doi:10.1016/j.ppnp.2022.103948engAddazi, A.Alvarez-Muniz, J.Alves Batista, R.Amelino-Camelia, G.Antonelli, V.Arzano, M.Asorey, M.Atteia, J.L.Bahamonde, S.Bajardi, F.Ballesteros, A.Baret, B.Barreiros, D. M.Basilakos, S.Benisty, D.Birnholtz, O.Blanco-Pillado, J.Blas, D.Bolmont, J.Boncioli, D.Bosso, P.Calcagni, G.Capozziello, S.Carmona, J. M.Cerci, S.Chernyakova, M.Clesse, S.Coelho, J. A. B.Colak, S. M.Cortes, J. L.Das, S.D''Esposito, V.Demirci, M.Di Luca, M. G.di Matteo, A.Dimitrijevic, D.Djordjevic, G.Prester, D. D.Eichhorn, A.Ellis, J.Escamilla-Rivera, C.Fabiano, G.Franchino-Viñas, S. A.Frassino, A. M.Frattulillo, D.Funk, S.Fuster, A.Gamboa, J.Gent, A.Gergely, L. Á.Giammarchi, M.Giesel, K.Glicenstein, J.F.Gracia-Bondía, J.Gracia-Ruiz, R.Gubitosi, G.Guendelman, E. I.Gutierrez-Sagredo, I. Haegel, L.Heefer, S.Held, A.Herranz, F. J.Hinderer, T.Illana, J. I.Ioannisian, A.Jetzer, P.Joaquim, F. R.Kampert, K.H.Uysal, A. K.Katori, T.Kazarian, N.Kerszberg, D.Kowalski-Glikman, J.Kuroyanagi, S.Lämmerzahl, C.Said, J. L.Liberati, S.Lim, E.Lobo, I. P.López-Moya, M.Luciano, G. G.Manganaro, M.Marcianò, A.Martín-Moruno, P.Martinez, M.Martinez, M.Martínez-Huerta, H.Martínez-Miravé, P.Masip, M.Mattingly, D.Mavromatos, N.Mazumdar, A.Méndez, F.Mercati, F.Micanovic, S.Mielczarek, J.Miller, A. L.Milosevic, M.Minic, D.Miramonti, L.Mitsou, V. A.Moniz, P.Mukherjee, S.Nardini, G.Navas, S.Niechciol, M.Nielsen, A. B.Obers, N. A.Oikonomou, F.Oriti, D.Paganini, C. F.Palomares-Ruiz, S.Pasechnik, R.Pasic, V.Pérez de los Heros, C.Pfeifer, C.Pieroni, M.Piran, T.Platania, A.Rastgoo, S.Relancio, J. J.Reyes, M. A.Ricciardone, A.Risse, M.Frias, M. D. R.Rosati, G.Rubiera-Garcia, D.Sahlmann, H.Sakellariadou, M.Salamida, F.Saridakis, E. N.Satunin, P.Schiffer, M.Schüssler, F.Sigl, G.Sitarek, J.Peracaula, J. S.Sopuerta, C. F.Sotiriou, T. P.Spurio, M.Staicova, D.Stergioulas, N.Stoica, S.Striškovic, J.Stuttard, T.Cerci, D. S.Tavakoli, Y.Ternes, C. A.Terzic, T.Thiemann, T.Tinyakov, P.Torri, M. D. C.Tórtola, M.Trimarelli, C.Trzesniewski, T.Tureanu, A.Urban, F. R.Vagenas, E. C.Vernieri, D.Vitagliano, V.Wallet, J.C.Zornoza, J. D.Quantum gravity phenomenology at the dawn of the multi-messenger era—A reviewART-2022-128579The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experimental data that is obtained by the detection of the various cosmic messengers (photons, neutrinos, cosmic rays and gravitational waves) from numerous origins. They give us information about their sources in the universe and the properties of the intergalactic medium. Moreover, multi-messenger astronomy opens up the possibility to search for phenomenological signatures of quantum gravity. On the one hand, the most energetic events allow us to test our physical theories at energy regimes which are not directly accessible in accelerators; on the other hand, tiny effects in the propagation of very high energy particles could be amplified by cosmological distances. After decades of merely theoretical investigations, the possibility of obtaining phenomenological indications of Planck-scale effects is a revolutionary step in the quest for a quantum theory of gravity, but it requires cooperation between different communities of physicists (both theoretical and experimental). This review, prepared within the COST Action CA18108 “Quantum gravity phenomenology in the multi-messenger approach”, is aimed at promoting this cooperation by giving a state-of-the art account of the interdisciplinary expertise that is needed in the effective search of quantum gravity footprints in the production, propagation and detection of cosmic messengers. © 2022 The Authors2022http://zaguan.unizar.es/record/11716010.1016/j.ppnp.2022.103948http://zaguan.unizar.es/record/117160oai:zaguan.unizar.es:117160info:eu-repo/grantAgreement/ES/AEI-FEDER/PGC2018-095328-B-I00info:eu-repo/grantAgreement/ES/AEI/PGC2018-094626-B-C21info:eu-repo/grantAgreement/ES/AEI/PGC2018-094856-B-I00info:eu-repo/grantAgreement/ES/AEI/PGC2018-096663-B-C41info:eu-repo/grantAgreement/ES/AEI/PGC2018-096663-B-C44info:eu-repo/grantAgreement/ES/AEI/PGC2018-101858-B-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-104114RB-C32info:eu-repo/grantAgreement/ES/AEI/PID2019-105544GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-105544RB-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-105614GB-C21info:eu-repo/grantAgreement/ES/AEI/PID2019-106515GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-106802GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-107394GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2019-107844GB-C21info:eu-repo/grantAgreement/ES/AEI/PID2019-107847RB-C41info:eu-repo/grantAgreement/ES/AEI/PID2019-108485GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2020-103334GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2020-113701GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2020-113775GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2020-115845GB-I00info:eu-repo/grantAgreement/ES/AEI/PID2020-118159GA-C42info:eu-repo/grantAgreement/ES/AEI/PID2020-118159GB-C41info:eu-repo/grantAgreement/ES/AEI/PRE2019-089024info:eu-repo/grantAgreement/ES/DGA-FSE/E21-17Rinfo:eu-repo/grantAgreement/EC/H2020/ 847648/EU/Junior Leader la Caixa Postdoctoral Fellowship Programme: Shaping the new generation of leaders in research/JUNIOR LEADERThis project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 847648-JUNIOR LEADERinfo:eu-repo/grantAgreement/EC/H2020/754510/EU/PROBIST Cofund bist postdoctoral fellowship programme/PROBISTThis project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 754510-PROBISTinfo:eu-repo/grantAgreement/EC/H2020/860881/EU/Revealing how hidden symmetries shape the universe/HIDDeNThis project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 860881-HIDDeNinfo:eu-repo/grantAgreement/ES/MCIU/RED2018-102661-Tinfo:eu-repo/grantAgreement/ES/MCOC/FPA2016-76005-C2-1-Pinfo:eu-repo/grantAgreement/ES/MCIN/AEI/10.13039/501100011033info:eu-repo/grantAgreement/ES/MINECO/FPA2017-84543-Pinfo:eu-repo/grantAgreement/ES/MINECO/MDM-2016-0692info:eu-repo/grantAgreement/ES/MINECO/SEV-2016-0588info:eu-repo/grantAgreement/ES/MIU/BG20-00228Progress in Particle and Nuclear Physics 125 (2022), 103948 [119 pp.]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess