%AAbreu, P.%AAglietta, M.%AAlbury, J.M.%AAllekotte, I.%AAlmeida Cheminant, K.%AAlmela, A.%AAlvarez-Muñiz, J.%AAlves Batista, R.%AAnastasi, G.A.%AAnchordoqui, L.%AAndrada, B.%AAndringa, S.%AAramo, C.%AAraújo Ferreira, P.R.%AArnone, E.%AArteaga Velázquez, J.C.%AAsorey, H.%AAssis, P.%AAvila, G.%ABadescu, A.M.%ABakalova, A.%ABalaceanu, A.%ABarbato, F.%ABellido, J.A.%ABerat, C.%ABertaina, M.E.%ABertou, X.%ABhatta, G.%ABiermann, P.L.%ABinet, V.%ABismark, K.%ABister, T.%ABiteau, J.%ABlazek, J.%ABleve, C.%ABlümer, J.%ABoháčová, M.%ABoncioli, D.%ABonifazi, C.%ABonneau Arbeletche, L.%ABorodai, N.%ABotti, A.M.%ABrack, J.%ABretz, T.%ABrichetto Orchera, P.G.%ABriechle, F.L.%ABuchholz, P.%ABueno, A.%ABuitink, S.%ABuscemi, M.%ABüsken, M.%ACaballero-Mora, K.S.%ACaccianiga, L.%ACanfora, F.%ACaracas, I.%ACaruso, R.%ACastellina, A.%ACatalani, F.%ACataldi, G.%ACazon, L.%ACerda, M.%AChinellato, J.A.%AChudoba, J.%AChytka, L.%AClay, R.W.%ACobos Cerutti, A.C.%AColalillo, R.%AColeman, A.%AColuccia, M.R.%AConceição, R.%ACondorelli, A.%AConsolati, G.%AContreras, F.%AConvenga, F.%ACorreia dos Santos, D.%ACovault, C.E.%ADasso, S.%ADaumiller, K.%ADawson, B.R.%ADay, J.A.%Ade Almeida, R.M.%Ade Jesús, J.%Ade Jong, S.J.%Ade Mello Neto, J.R.T.%ADe Mitri, I.%Ade Oliveira, J.%Ade Oliveira Franco, D.%Ade Palma, F.%Ade Souza, V.%ADe Vito, E.%ADel Popolo, A.%Adel Río, M.%ADeligny, O.%ADeval, L.%Adi Matteo, A.%ADobre, M.%ADobrigkeit, C.%AD'Olivo, J.C.%ADomingues Mendes, L.M.%Ados Anjos, R.C.%ADova, M.T.%AEbr, J.%AEngel, R.%AEpicoco, I.%AErdmann, M.%AEscobar, C.O.%AEtchegoyen, A.%AFalcke, H.%AFarmer, J.%AFarrar, G.%AFauth, A.C.%AFazzini, N.%AFeldbusch, F.%AFenu, F.%AFick, B.%AFigueira, J.M.%AFilipčič, A.%AFitoussi, T.%AFodran, T.%AFujii, T.%AFuster, A.%AGalea, C.%AGalelli, C.%AGarcía, B.%AGarcia Vegas, A.L.%AGemmeke, H.%AGesualdi, F.%AGherghel-Lascu, A.%AGhia, P.L.%AGiaccari, U.%AGiammarchi, M.%AGlombitza, J.%AGobbi, F.%AGollan, F.%AGolup, G.%AGómez Berisso, M.%AGómez Vitale, P.F.%AGongora, J.P.%AGonzález, J.M.%AGonzález, N.%AGoos, I.%AGóra, D.%AGorgi, A.%AGottowik, M.%AGrubb, T.D.%AGuarino, F.%AGuedes, G.P.%AGuido, E.%AHahn, S.%AHamal, P.%AHampel, M.R.%AHansen, P.%AHarari, D.%AHarvey, V.M.%AHaungs, A.%AHebbeker, T.%AHeck, D.%AHill, G.C.%AHojvat, C.%AHörandel, J.R.%AHorvath, P.%AHrabovský, M.%AHuege, T.%AInsolia, A.%AIsar, P.G.%AJanecek, P.%AJohnsen, J.A.%AJurysek, J.%AKääpä, A.%AKampert, K.H.%AKarastathis, N.%AKeilhauer, B.%AKhakurdikar, A.%AKizakke Covilakam, V.V.%AKlages, H.O.%AKleifges, M.%AKleinfeller, J.%AKnapp, F.%AKunka, N.%ALago, B.L.%ALang, R.G.%ALangner, N.%ALeigui de Oliveira, M.A.%ALenok, V.%ALetessier-Selvon, A.%ALhenry-Yvon, I.%ALo Presti, D.%ALopes, L.%ALópez, R.%ALu, L.%ALuce, Q.%ALundquist, J.P.%AMachado Payeras, A.%AMancarella, G.%AMandat, D.%AManning, B.C.%AManshanden, J.%AMantsch, P.%AMarafico, S.%AMariani, F.M.%AMariazzi, A.G.%AMariş, I.C.%AMarsella, G.%AMartello, D.%AMartinelli, S.%AMartínez Bravo, O.%AMastrodicasa, M.%AMathes, H.J.%AMatthews, 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M.J.%ARossoni, S.%ARoth, M.%ARoulet, E.%ARovero, A.C.%ARuehl, P.%ASaftoiu, A.%ASaharan, M.%ASalamida, F.%ASalazar, H.%ASalina, G.%ASanabria Gomez, J.D.%ASánchez, F.%ASantos, E.M.%ASantos, E.%ASarazin, F.%ASarmento, R.%ASarmiento-Cano, C.%ASato, R.%ASavina, P.%ASchäfer, C.M.%AScherini, V.%ASchieler, H.%ASchimassek, M.%ASchimp, M.%ASchlüter, F.%ASchmidt, D.%AScholten, O.%ASchoorlemmer, H.%ASchovánek, P.%ASchröder, F.G.%ASchulte, J.%ASchulz, T.%ASciutto, S.J.%AScornavacche, M.%ASegreto, A.%ASehgal, S.%AShellard, R.C.%ASigl, G.%ASilli, G.%ASima, O.%ASmau, R.%AŠmída, R.%ASommers, P.%ASoriano, J.F.%ASquartini, R.%AStadelmaier, M.%AStanca, D.%AStanič, S.%AStasielak, J.%AStassi, P.%AStreich, A.%ASuárez-Durán, M.%ASudholz, T.%ASuomijärvi, T.%ASupanitsky, A.D.%ASzadkowski, Z.%ATapia, A.%ATaricco, C.%ATimmermans, C.%ATkachenko, O.%ATobiska, P.%ATodero Peixoto, C.J.%ATomé, B.%ATorrès, Z.%ATravaini, A.%ATravnicek, P.%ATrimarelli, C.%ATueros, M.%AUlrich, R.%AUnger, M.%AVaclavek, L.%AVacula, M.%AValdés Galicia, J.F.%AValore, L.%AVarela, E.%AVásquez-Ramírez, A.%AVeberič, D.%AVentura, C.%AVergara Quispe, I.D.%AVerzi, V.%AVicha, J.%AVink, J.%AVorobiov, S.%AWahlberg, H.%AWatanabe, C.%AWatson, A.A.%AWeindl, A.%AWiencke, L.%AWilczyński, H.%AWittkowski, D.%AWundheiler, B.%AYushkov, A.%AZapparrata, O.%AZas, E.%AZavrtanik, D.%AZavrtanik, M.%AZehrer, L.%BJournal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2022; Journal Issue: 01 %D2022%I %JJournal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2022; Journal Issue: 01 %K %MOSTI ID: 10330728 %PMedium: X %TTesting effects of Lorentz invariance violation in the propagation of astroparticles with the Pierre Auger Observatory %XAbstract Lorentz invariance violation (LIV) is often described by dispersion relations of the form E i 2  =  m i 2 + p i 2 +δ i,n E 2+n with delta different based on particle type i , with energy E , momentum p and rest mass m . Kinematics and energy thresholds of interactions are modified once the LIV terms become comparable to the squared masses of the particles involved. Thus, the strongest constraints on the LIV coefficients δ i,n tend to come from the highest energies. At sufficiently high energies, photons produced by cosmic ray interactions as they propagate through the Universe could be subluminal and unattenuated over cosmological distances. Cosmic ray interactions can also be modified and lead to detectable fingerprints in the energy spectrum and mass composition observed on Earth. The data collected at the Pierre Auger Observatory are therefore possibly sensitive to both the electromagnetic and hadronic sectors of LIV. In this article, we explore these two sectors by comparing the energy spectrum and the composition of cosmic rays and the upper limits on the photon flux from the Pierre Auger Observatory with simulations including LIV. Constraints on LIV parameters depend strongly on the mass composition of cosmic rays at the highest energies. For the electromagnetic sector, while no constraints can be obtained in the absence of protons beyond 10 19 eV, we obtain δ γ,0  > -10 -21 , δ γ,1  > -10 -40 eV -1 and δ γ,2  > -10 -58 eV -2 in the case of a subdominant proton component up to 10 20 eV. For the hadronic sector, we study the best description of the data as a function of LIV coefficients and we derive constraints in the hadronic sector such as δ had,0  < 10 -19 , δ had,1  < 10 -38 eV -1 and δ had,2  < 10 -57 eV -2 at 5σ CL. %0Journal Article