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The Pierre Auger Observatory is the world's largest detector for observation of ultra-high-energy cosmic rays (UHECRs) (above the energy of $10^{17}$ eV). It consists of a Fluorescence Detector (FD) and an array of particle detectors known…

High Energy Astrophysical Phenomena · Physics 2023-02-20 Dariusz Góra

Extensive air showers are complex objects, resulting of billions of particle reactions initiated by single cosmic ray at ultra-high-energy. Their characteristics are sensitive both to the mass of the primary cosmic ray and to the details of…

High Energy Astrophysical Phenomena · Physics 2019-06-12 Lorenzo Cazon

Over the last two decades, various experiments have measured muon densities in extensive air showers over several orders of magnitude in primary energy. While some experiments observed differences in the muon densities between simulated and…

High Energy Astrophysical Phenomena · Physics 2021-08-24 Dennis Soldin

Indications of a discrepancy between simulations and data on the number of muons in cosmic ray showers exist over a large span of energies. We focus on the excess of multi-muon bundles observed by the DELPHI detector at LEP and on the…

High Energy Physics - Phenomenology · Physics 2017-12-13 Jan Ebr

Recent results obtained from leading cosmic ray experiments indicate that simulations using LHC-tuned hadronic interaction models underestimate the number of muons in extensive air showers compared to experimental data. This is the…

Motivated by the excess of the muon content of cosmic ray induced extensive air showers (EAS), relative to EAS modeling, observed by the Pierre Auger Observatory, and by the tension between Auger data and air shower simulations on the…

High Energy Physics - Phenomenology · Physics 2024-06-21 Sergey Ostapchenko , Günter Sigl

We present a meta-analysis of recent muon density measurements made by eight air shower experiments which cover shower energies ranging from PeV to tens of EeV regarding the muon puzzle in extensive air showers. Some experimental analyses…

High Energy Astrophysical Phenomena · Physics 2020-01-22 Lorenzo Cazon

The number of muons in extensive air showers predicted using LHC-tuned hadronic interaction models, such as EPOS-LHC and QGSJetII-04, is smaller than observed in showers recorded by leading cosmic ray experiments. In this paper, we present…

Measurements of the muon content of extensive air showers at the highest energies show discrepancies compared to simulations as large as the differences between proton and iron. This so-called muon puzzle is commonly attributed to a lack of…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Maximilian Reininghaus , Ralf Ulrich , Tanguy Pierog

The energy spectrum of muons produced in air showers depends not only on the properties of the primary particle, but also on the atmosphere. This is because of the competition between decay and interaction of the parent mesons, which…

High Energy Astrophysical Phenomena · Physics 2025-09-22 Stef Verpoest , Marisol Catalan Olais , Frank Schroeder

In this paper we analyze the energy evolution of the muon content of air showers between $10^{18.4}$ and $10^{19.6}$ eV to be able to determine the most likely mass composition scenario from future number of muons measurements. The energy…

High Energy Astrophysical Phenomena · Physics 2016-08-15 Raul Ribeiro Prado , Ruben Conceição , Mário Pimenta , Vitor de Souza

The excess of muons observed in ultra-high-energy cosmic-ray air showers relative to simulation predictions, known as the muon puzzle, provides indirect evidence of our incomplete understanding of high-energy hadronic interactions. An…

High Energy Astrophysical Phenomena · Physics 2026-03-10 Ken Ohashi , Anatoli Fedynitch , Hiroaki Menjo

Current simulations of air showers produced by ultra-high energy cosmic rays (UHECRs) do not satisfactorily describe recent experimental data, particularly when looking at the muonic shower component relative to the electromagnetic one.…

High Energy Astrophysical Phenomena · Physics 2023-09-12 Felix Riehn , Ralph Engel , Anatoli Fedynitch

The indirect ground-based observations of cosmic rays through extensive air showers in modern experiments typically involve the use of Monte Carlo simulations to determine the characteristics of the primary particles. These simulations…

High Energy Astrophysical Phenomena · Physics 2026-04-20 Nickolay S. Martynenko

The characteristics of extensive air showers are sensitive to the details of hadronic interactions at energies and in kinematic regions beyond those tested by human-made accelerators. Uncertainties on extrapolations of the hadronic…

High Energy Astrophysical Phenomena · Physics 2014-05-21 L. Cazon

We present a novel approach for assessing the muon content of air showers with large zenith angles on a combined analysis of their radio emission and particle footprint. We use the radiation energy reconstructed by the Auger Engineering…

High Energy Astrophysical Phenomena · Physics 2026-01-08 The Pierre Auger Collaboration , A. Abdul Halim , P. Abreu , M. Aglietta , I. Allekotte , K. Almeida Cheminant , A. Almela , R. Aloisio , J. Alvarez-Muñiz , A. Ambrosone , J. Ammerman Yebra , G. A. Anastasi , L. Anchordoqui , B. Andrada , L. Andrade Dourado , S. Andringa , L. Apollonio , C. Aramo , E. Arnone , J. C. Arteaga Velázquez , P. Assis , G. Avila , E. Avocone , A. Bakalova , F. Barbato , A. Bartz Mocellin , J. A. Bellido , C. Berat , M. E. Bertaina , M. Bianciotto , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , J. Brack , P. G. Brichetto Orchera , F. L. Briechle , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , A. Bwembya , K. S. Caballero-Mora , S. Cabana-Freire , L. Caccianiga , F. Campuzano , J. Caraça-Valente , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , B. Čermáková , A. Cermenati , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , R. Conceição , G. Consolati , M. Conte , F. Convenga , D. Correia dos Santos , P. J. Costa , C. E. Covault , M. Cristinziani , C. S. Cruz Sanchez , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , E. -T. de Boone , B. de Errico , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , O. Deligny , N. Denner , L. Deval , A. di Matteo , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , Q. Dorosti , J. C. dos Anjos , R. C. dos Anjos , J. Ebr , F. Ellwanger , R. Engel , I. Epicoco , M. Erdmann , A. Etchegoyen , C. Evoli , H. Falcke , G. Farrar , A. C. Fauth , T. Fehler , F. Feldbusch , A. Fernandes , M. Fernandez , B. Fick , J. M. Figueira , P. Filip , A. Filipčič , T. Fitoussi , B. Flaggs , T. Fodran , A. Franco , M. Freitas , T. Fujii , A. Fuster , C. Galea , B. García , C. Gaudu , P. L. Ghia , U. Giaccari , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , D. Góra , A. Gorgi , M. Gottowik , F. Guarino , G. P. Guedes , L. Gülzow , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , V. M. Harvey , A. Haungs , T. Hebbeker , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , M. Ismaiel , P. Janecek , V. Jilek , K. -H. Kampert , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Köhler , F. Krieger , M. Kubatova , N. Kunka , B. L. Lago , N. Langner , N. Leal , M. A. Leigui de Oliveira , Y. Lema-Capeans , A. Letessier-Selvon , I. Lhenry-Yvon , L. Lopes , J. P. Lundquist , M. Mallamaci , D. Mandat , P. Mantsch , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , M. A. Martins , H. -J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , J. Meinert , D. Melo , A. Menshikov , C. Merx , S. Michal , M. I. Micheletti , L. Miramonti , M. Mogarkar , S. Mollerach , F. Montanet , L. Morejon , K. Mulrey , R. Mussa , W. M. Namasaka , S. Negi , L. Nellen , K. Nguyen , G. Nicora , M. Niechciol , D. Nitz , D. Nosek , A. Novikov , V. Novotny , L. Nožka , A. Nucita , L. A. Núñez , J. Ochoa , C. Oliveira , L. Östman , M. Palatka , J. Pallotta , S. Panja , G. Parente , T. Paulsen , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , V. Pelgrims , L. A. S. Pereira , E. E. Pereira Martins , C. Pérez Bertolli , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , M. Platino , B. Pont , M. Pourmohammad Shahvar , P. Privitera , C. Priyadarshi , M. Prouza , K. Pytel , S. Querchfeld , J. Rautenberg , D. Ravignani , J. V. Reginatto Akim , A. Reuzki , J. Ridky , F. Riehn , M. Risse , V. Rizi , E. Rodriguez , G. Rodriguez Fernandez , J. Rodriguez Rojo , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , P. Sampathkumar , N. San Martin , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , R. Sato , P. Savina , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Sedoski , A. Segreto , S. Sehgal , S. U. Shivashankara , G. Sigl , K. Simkova , F. Simon , R. Šmída , P. Sommers , R. Squartini , M. Stadelmaier , S. Stanič , J. Stasielak , P. Stassi , S. Strähnz , M. Straub , T. Suomijärvi , A. D. Supanitsky , Z. Svozilikova , K. Syrokvas , Z. Szadkowski , F. Tairli , M. Tambone , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , A. Travaini , P. Travnicek , M. Tueros , M. Unger , R. Uzeiroska , L. Vaclavek , M. Vacula , I. Vaiman , J. F. Valdés Galicia , L. Valore , P. van Dillen , E. Varela , V. Vašíčková , A. Vásquez-Ramírez , D. Veberič , I. D. Vergara Quispe , S. Verpoest , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , J. B. Vuta , C. Watanabe , A. A. Watson , A. Weindl , M. Weitz , L. Wiencke , H. Wilczyński , B. Wundheiler , B. Yue , A. Yushkov , E. Zas , D. Zavrtanik , M. Zavrtanik

It is very well known that the fraction of energy in a hadron collision going into electromagnetic particles (electrons and photons, including those from decays) has a large impact on the number of muons produced in air shower cascades.…

High Energy Physics - Phenomenology · Physics 2023-05-31 Sebastian Baur , Hans Dembinski , Matias Perlin , Tanguy Pierog , Ralf Ulrich , Klaus Werner

We show that combining the published Pierre Auger Observatory measurements of the longitudinal_and_ lateral properties of UHE atmospheric showers, points to an unforeseen change in the nature of particle interactions at ultrahigh energy. A…

High Energy Physics - Phenomenology · Physics 2013-07-10 Glennys R. Farrar , Jeffrey D. Allen

The combined data of Fluorescence and Surface Detectors of the Pierre Auger Observatory has recently provided the strongest constraints on the validity of predictions from current models of hadronic interactions. The unmodified predictions…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Jakub Vícha

The muon puzzle -- an excess of muons relative to simulation predictions in ultra-high-energy cosmic-ray air showers -- has been reported by many experiments. This suggests that forward particle production in hadronic interactions is not…

High Energy Physics - Experiment · Physics 2025-08-01 FASER Collaboration , Roshan Mammen Abraham , Xiaocong Ai , Saul Alonso Monsalve , John Anders , Claire Antel , Akitaka Ariga , Tomoko Ariga , Jeremy Atkinson , Florian U. Bernlochner , Tobias Boeckh , Jamie Boyd , Lydia Brenner , Angela Burger , Franck Cadoux , Roberto Cardella , David W. Casper , Charlotte Cavanagh , Xin Chen , Dhruv Chouhan , Andrea Coccaro , Stephane Débieux , Ansh Desai , Sergey Dmitrievsky , Radu Dobre , Monica D'Onofrio , Sinead Eley , Yannick Favre , Jonathan L. Feng , Carlo Alberto Fenoglio , Didier Ferrere , Max Fieg , Wissal Filali , Elena Firu , Haruhi Fujimori , Edward Galantay , Ali Garabaglu , Stephen Gibson , Sergio Gonzalez-Sevilla , Yuri Gornushkin , Yotam Granov , Carl Gwilliam , Daiki Hayakawa , Michael Holzbock , Shih-Chieh Hsu , Zhen Hu , Giuseppe Iacobucci , Tomohiro Inada , Luca Iodice , Sune Jakobsen , Hans Joos , Enrique Kajomovitz , Hiroaki Kawahara , Alex Keyken , Felix Kling , Daniela Köck , Pantelis Kontaxakis , Umut Kose , Rafaella Kotitsa , Peter Krack , Susanne Kuehn , Thanushan Kugathasan , Sebastian Laudage , Lorne Levinson , Botao Li , Jinfeng Liu , Yi Liu , Margaret S. Lutz , Jack MacDonald , Chiara Magliocca , Toni Mäkelä , Lawson McCoy , Josh McFayden , Andrea Pizarro Medina , Matteo Milanesio , Théo Moretti , Keiko Moriyama , Mitsuhiro Nakamura , Toshiyuki Nakano , Laurie Nevay , Ken Ohashi , Hidetoshi Otono , Lorenzo Paolozzi , Pawan Pawan , Brian Petersen , Titi Preda , Markus Prim , Michaela Queitsch-Maitland , Juan Rojo , Hiroki Rokujo , André Rubbia , Jorge Sabater-Iglesias , Osamu Sato , Paola Scampoli , Kristof Schmieden , Matthias Schott , Christiano Sebastiani , Anna Sfyrla , Davide Sgalaberna , Mansoora Shamim , Savannah Shively , Yosuke Takubo , Noshin Tarannum , Ondrej Theiner , Simon Thor , Eric Torrence , Oscar Ivan Valdes Martinez , Svetlana Vasina , Benedikt Vormwald , Yuxiao Wang , Eli Welch , Monika Wielers , Benjamin James Wilson , Jialin Wu , Johannes Martin Wuthrich , Yue Xu , Daichi Yoshikawa , Stefano Zambito , Shunliang Zhang , Xingyu Zhao