Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data
Creators: name: The Pierre Auger Collaboration
name: Abreu, P.
name: Aglietta, M.
name: Albury, J. M.
name: Allekotte, I.
name: Cheminant, K. Almeida
name: Almela, A.
name: Alvarez-Muñiz, J.
name: Batista, R. Alves
name: Yebra, J. Ammerman
name: Anastasi, G. A.
name: Anchordoqui, L.
name: Andrada, B.
name: Andringa, S.
name: Aramo, C.
name: Ferreira, P. R. Araújo
name: Arnone, E.
name: Velázquez, J. C. Arteaga
name: Asorey, H.
name: Assis, P.
name: Avila, G.
name: Avocone, E.
name: Badescu, A. M.
name: Bakalova, A.
name: Balaceanu, A.
name: Barbato, F.
name: Bellido, J. A.
name: Berat, C.
name: Bertaina, M. E.
name: Bhatta, G.
name: Biermann, P. L.
name: Binet, V.
name: Bismark, K.
name: Bister, T.
name: Biteau, J.
name: Blazek, J.
name: Bleve, C.
name: Blümer, J.
name: Boháčová, M.
name: Boncioli, D.
name: Bonifazi, C.
name: Arbeletche, L. Bonneau
name: Borodai, N.
name: Botti, A. M.
name: Brack, J.
name: Bretz, T.
name: Orchera, P. G. Brichetto
name: Briechle, F. L.
name: Buchholz, P.
name: Bueno, A.
name: Buitink, S.
name: Buscemi, M.
name: Büsken, M.
name: Caballero-Mora, K. S.
name: Caccianiga, L.
name: Canfora, F.
name: Caracas, I.
name: Caruso, R.
name: Castellina, A.
name: Catalani, F.
name: Cataldi, G.
name: Cazon, L.
name: Cerda, M.
name: Chinellato, J. A.
name: Chudoba, J.
name: Chytka, L.
name: Clay, R. W.
name: Cerutti, A. C. Cobos
name: Colalillo, R.
name: Coleman, A.
name: Coluccia, M. R.
name: Conceição, R.
name: Condorelli, A.
name: Consolati, G.
name: Contreras, F.
name: Convenga, F.
name: Santos, D. Correia dos
name: Covault, C. E.
name: Dasso, S.
name: Daumiller, K.
name: Dawson, B. R.
name: Day, J. A.
name: de Almeida, R. M.
name: de Jesús, J.
name: de Jong, S. J.
name: Neto, J. R. T. de Mello
name: De Mitri, I.
name: de Oliveira, J.
name: Franco, D. de Oliveira
name: de Palma, F.
name: de Souza, V.
name: De Vito, E.
name: Del Popolo, A.
name: del Río, M.
name: Deligny, O.
name: Deval, L.
name: di Matteo, A.
name: Dobre, M.
name: Dobrigkeit, C.
name: D'Olivo, J. C.
name: Mendes, L. M. Domingues
name: Anjos, R. C. dos
name: Dova, M. T.
name: Ebr, J.
name: Engel, R.
name: Epicoco, I.
name: Erdmann, M.
name: Escobar, C. O.
name: Etchegoyen, A.
name: Falcke, H.
name: Farmer, J.
name: Farrar, G.
name: Fauth, A. C.
name: Fazzini, N.
name: Feldbusch, F.
name: Fenu, F.
name: Fick, B.
name: Figueira, J. M.
name: Filipčič, A.
name: Fitoussi, T.
name: Fodran, T.
name: Fujii, T.
name: Fuster, A.
name: Galea, C.
name: Galelli, C.
name: García, B.
name: Vegas, A. L. Garcia
name: Gemmeke, H.
name: Gesualdi, F.
name: Gherghel-Lascu, A.
name: Ghia, P. L.
name: Giaccari, U.
name: Giammarchi, M.
name: Glombitza, J.
name: Gobbi, F.
name: Gollan, F.
name: Golup, G.
name: Berisso, M. Gómez
name: Vitale, P. F. Gómez
name: Gongora, J. P.
name: González, J. M.
name: González, N.
name: Goos, I.
name: Góra, D.
name: Gorgi, A.
name: Gottowik, M.
name: Grubb, T. D.
name: Guarino, F.
name: Guedes, G. P.
name: Guido, E.
name: Hahn, S.
name: Hamal, P.
name: Hampel, M. R.
name: Hansen, P.
name: Harari, D.
name: Harvey, V. M.
name: Haungs, A.
name: Hebbeker, T.
name: Heck, D.
name: Hill, G. C.
name: Hojvat, C.
name: Hörandel, J. R.
name: Horvath, P.
name: Hrabovský, M.
name: Huege, T.
name: Insolia, A.
name: Isar, P. G.
name: Janecek, P.
name: Johnsen, J. A.
name: Jurysek, J.
name: Kääpä, A.
name: Kampert, K. H.
name: Keilhauer, B.
name: Khakurdikar, A.
name: Covilakam, V. V. Kizakke
name: Klages, H. O.
name: Kleifges, M.
name: Kleinfeller, J.
name: Knapp, F.
name: Kunka, N.
name: Lago, B. L.
name: Langner, N.
name: de Oliveira, M. A. Leigui
name: Lenok, V.
name: Letessier-Selvon, A.
name: Lhenry-Yvon, I.
name: Presti, D. Lo
name: Lopes, L.
name: López, R.
name: Lu, L.
name: Luce, Q.
name: Lundquist, J. P.
name: Payeras, A. Machado
name: Mancarella, G.
name: Mandat, D.
name: Manning, B. C.
name: Manshanden, J.
name: Mantsch, P.
name: Marafico, S.
name: Mariani, F. M.
name: Mariazzi, A. G.
name: Mariş, I. C.
name: Marsella, G.
name: Martello, D.
name: Martinelli, S.
name: Bravo, O. Martínez
name: Mastrodicasa, M.
name: Mathes, H. J.
name: Matthews, J.
name: Matthiae, G.
name: Mayotte, E.
name: Mayotte, S.
name: Mazur, P. O.
name: Medina-Tanco, G.
name: Melo, D.
name: Menshikov, A.
name: Michal, S.
name: Micheletti, M. I.
name: Miramonti, L.
name: Mollerach, S.
name: Montanet, F.
name: Morejon, L.
name: Morello, C.
name: Mostafá, M.
name: Müller, A. L.
name: Muller, M. A.
name: Mulrey, K.
name: Mussa, R.
name: Muzio, M.
name: Namasaka, W. M.
name: Nasr-Esfahani, A.
name: Nellen, L.
name: Nicora, G.
name: Niculescu-Oglinzanu, M.
name: Niechciol, M.
name: Nitz, D.
name: Norwood, I.
name: Nosek, D.
name: Novotny, V.
name: Nožka, L.
name: Nucita, A
name: Núñez, L. A.
name: Oliveira, C.
name: Palatka, M.
name: Pallotta, J.
name: Papenbreer, P.
name: Parente, G.
name: Parra, A.
name: Pawlowsky, J.
name: Pech, M.
name: Pękala, J.
name: Pelayo, R.
name: Peña-Rodriguez, J.
name: Martins, E. E. Pereira
name: Armand, J. Perez
name: Bertolli, C. Pérez
name: Perrone, L.
name: Petrera, S.
name: Petrucci, C.
name: Pierog, T.
name: Pimenta, M.
name: Pirronello, V.
name: Platino, M.
name: Pont, B.
name: Pothast, M.
name: Privitera, P.
name: Prouza, M.
name: Puyleart, A.
name: Querchfeld, S.
name: Rautenberg, J.
name: Ravignani, D.
name: Reininghaus, M.
name: Ridky, J.
name: Riehn, F.
name: Risse, M.
name: Rizi, V.
name: de Carvalho, W. Rodrigues
name: Rojo, J. Rodriguez
name: Roncoroni, M. J.
name: Rossoni, S.
name: Roth, M.
name: Roulet, E.
name: Rovero, A. C.
name: Ruehl, P.
name: Saftoiu, A.
name: Saharan, M.
name: Salamida, F.
name: Salazar, H.
name: Salina, G.
name: Gomez, J. D. Sanabria
name: Sánchez, F.
name: Santos, E. M.
name: Santos, E.
name: Sarazin, F.
name: Sarmento, R.
name: Sarmiento-Cano, C.
name: Sato, R.
name: Savina, P.
name: Schäfer, C. M.
name: Scherini, V.
name: Schieler, H.
name: Schimassek, M.
name: Schimp, M.
name: Schlüter, F.
name: Schmidt, D.
name: Scholten, O.
name: Schoorlemmer, H.
name: Schovánek, P.
name: Schröder, F. G.
name: Schulte, J.
name: Schulz, T.
name: Sciutto, S. J.
name: Scornavacche, M.
name: Segreto, A.
name: Sehgal, S.
name: Shellard, R. C.
name: Sigl, G.
name: Silli, G.
name: Sima, O.
name: Smau, R.
name: Šmída, R.
name: Sommers, P.
name: Soriano, J. F.
name: Squartini, R.
name: Stadelmaier, M.
name: Stanca, D.
name: Stanič, S.
name: Stasielak, J.
name: Stassi, P.
name: Streich, A.
name: Suárez-Durán, M.
name: Sudholz, T.
name: Suomijärvi, T.
name: Supanitsky, A. D.
name: Szadkowski, Z.
name: Tapia, A.
name: Taricco, C.
name: Timmermans, C.
name: Tkachenko, O.
name: Tobiska, P.
name: Peixoto, C. J. Todero
name: Tomé, B.
name: Torrès, Z.
name: Travaini, A.
name: Travnicek, P.
name: Trimarelli, C.
name: Tueros, M.
name: Ulrich, R.
name: Unger, M.
name: Vaclavek, L.
name: Vacula, M.
name: Galicia, J. F. Valdés
name: Valore, L.
name: Varela, E.
name: Vásquez-Ramírez, A.
name: Veberič, D.
name: Ventura, C.
name: Quispe, I. D. Vergara
name: Verzi, V.
name: Vicha, J.
name: Vink, J.
name: Vorobiov, S.
name: Wahlberg, H.
name: Watanabe, C.
name: Watson, A. A.
name: Weindl, A.
name: Wiencke, L.
name: Wilczyński, H.
name: Wittkowski, D.
name: Wundheiler, B.
name: Yushkov, A.
name: Zapparrata, O.
name: Zas, E.
name: Zavrtanik, D.
name: Zavrtanik, M.
name: Zehrer, L.
name: Aloisio, R.
Publisher: name: arXiv
Year: 2022
Subjects: subject: High Energy Astrophysical Phenomena (astro-ph.HE)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Instantons, which are non-perturbative solutions to Yang-Mills equations, provide a signal for the occurrence of quantum tunneling between distinct classes of vacua. They can give rise to decays of particles otherwise forbidden. Using data collected at the Pierre Auger Observatory, we search for signatures of such instanton-induced processes that would be suggestive of super-heavy particles decaying in the Galactic halo. These particles could have been produced during the post-inflationary epoch and match the relic abundance of dark matter inferred today. The non-observation of the signatures searched for allows us to derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $α_X \lesssim 0.09$, for $10^{9} \lesssim M_X/{\rm GeV} &lt; 10^{19}$. Conversely, we obtain that, for instance, a reduced coupling constant $α_X = 0.09$ excludes masses $M_X \gtrsim 3\times 10^{13}~$GeV. In the context of dark matter production from gravitational interactions alone, we illustrate how these bounds are complementary to those obtained on the Hubble rate at the end of inflation from the non-observation of tensor modes in the cosmological microwave background.
description: 9 pages, 3 figures, accepted for publication in Phys. Rev. Lett