Testing hadronic-model predictions of depth of maximum of air-shower profiles and ground-particle signals using hybrid data of the Pierre Auger Observatory

Author:

Abdul Halim A.1,Abreu P.2,Aglietta M.34,Allekotte I.5,Almeida Cheminant K.6,Almela A.78,Aloisio R.910,Alvarez-Muñiz J.11,Ammerman Yebra J.11,Anastasi G. A.124,Anchordoqui L.13,Andrada B.7,Andringa S.2,Apollonio L.144,Aramo C.4,Araújo Ferreira P. R.15,Arnone E.164,Arteaga Velázquez J. C.17,Assis P.2,Avila G.18,Avocone E.1910,Bakalova A.20,Barbato F.910,Bartz Mocellin A.21,Bellido J. A.122,Berat C.23,Bertaina M. E.164,Bhatta G.6,Bianciotto M.164,Biermann P. L.,Binet V.24,Bismark K.25267,Bister T.2728,Biteau J.29,Blazek J.20,Bleve C.23,Blümer J.25,Boháčová M.20,Boncioli D.1910,Bonifazi C.3031,Bonneau Arbeletche L.32,Borodai N.6,Brack J.,Brichetto Orchera P. G.7,Briechle F. L.15,Bueno A.33,Buitink S.34,Buscemi M.435,Büsken M.25267,Bwembya A.2728,Caballero-Mora K. S.36,Cabana-Freire S.11,Caccianiga L.144,Campuzano F.37,Caruso R.124,Castellina A.34,Catalani F.38,Cataldi G.4,Cazon L.11,Cerda M.39,Cermenati A.910,Chinellato J. A.32,Chudoba J.20,Chytka L.40,Clay R. W.1,Cobos Cerutti A. C.37,Colalillo R.414,Coluccia M. R.4,Conceição R.2,Condorelli A.29,Consolati G.442,Conte M.434,Convenga F.1910,Correia dos Santos D.44,Costa P. J.2,Covault C. E.45,Cristinziani M.46,Cruz Sanchez C. S.47,Dasso S.4849,Daumiller K.25,Dawson B. R.1,de Almeida R. M.44,de Jesús J.725,de Jong S. J.2728,de Mello Neto J. R. T.3150,De Mitri I.910,de Oliveira J.51,de Oliveira Franco D.4,de Palma F.434,de Souza V.38,de Souza de Errico B. P.31,De Vito E.434,Del Popolo A.124,Deligny O.29,Denner N.20,Deval L.257,di Matteo A.4,Dobre M.52,Dobrigkeit C.32,D’Olivo J. C.53,Domingues Mendes L. M.254,Dorosti Q.46,dos Anjos J. C.54,dos Anjos R. C.55,Ebr J.20,Ellwanger F.25,Emam M.2728,Engel R.252625,Epicoco I.434,Erdmann M.15,Etchegoyen A.78,Evoli C.910,Falcke H.275628,Farrar G.57,Fauth A. C.32,Fazzini N.,Feldbusch F.25,Fenu F.25,Fernandes A.2,Fick B.58,Figueira J. M.7,Filipčič A.5960,Fitoussi T.25,Flaggs B.61,Fodran T.27,Fujii T.62,Fuster A.78,Galea C.27,Galelli C.144,García B.37,Gaudu C.63,Gemmeke H.25,Gesualdi F.725,Gherghel-Lascu A.52,Ghia P. L.29,Giaccari U.4,Glombitza J.15,Gobbi F.39,Gollan F.7,Golup G.5,Gómez Berisso M.5,Gómez Vitale P. F.18,Gongora J. P.18,González J. M.5,González N.7,Góra D.6,Gorgi A.34,Gottowik M.11,Grubb T. D.1,Guarino F.414,Guedes G. P.64,Guido E.46,Gülzow L.25,Hahn S.2526,Hamal P.20,Hampel M. R.7,Hansen P.47,Harari D.5,Harvey V. M.1,Haungs A.25,Hebbeker T.15,Hojvat C.,Hörandel J. R.2728,Horvath P.40,Hrabovský M.40,Huege T.2534,Insolia A.124,Isar P. G.65,Janecek P.20,Jilek V.20,Johnsen J. A.21,Jurysek J.20,Kampert K.-H.63,Keilhauer B.25,Khakurdikar A.27,Kizakke Covilakam V. V.725,Klages H. O.25,Kleifges M.25,Knapp F.2526,Köhler J.25,Kunka N.25,Lago B. L.66,Langner N.15,Leigui de Oliveira M. A.67,Lema-Capeans Y.11,Letessier-Selvon A.68,Lhenry-Yvon I.29,Lopes L.2,Lu L.69,Luce Q.2526,Lundquist J. P.60,Machado Payeras A.32,Majercakova M.20,Mandat D.20,Manning B. C.1,Mantsch P.,Mariani F. M.144,Mariazzi A. G.47,Mariş I. C.70,Marsella G.354,Martello D.434,Martinelli S.257,Martínez Bravo O.71,Martins M. A.11,Mathes H.-J.25,Matthews J.,Matthiae G.724,Mayotte E.2163,Mayotte S.21,Mazur P. O.,Medina-Tanco G.53,Meinert J.63,Melo D.7,Menshikov A.25,Merx C.25,Michal S.20,Micheletti M. I.24,Miramonti L.144,Mollerach S.5,Montanet F.23,Morejon L.63,Morello C.34,Mulrey K.2728,Mussa R.4,Namasaka W. M.63,Negi S.20,Nellen L.53,Nguyen K.58,Nicora G.73,Niechciol M.46,Nitz D.58,Nosek D.74,Novotny V.74,Nožka L.40,Nucita A.434,Núñez L. A.75,Oliveira C.38,Palatka M.20,Pallotta J.73,Panja S.20,Parente G.11,Paulsen T.63,Pawlowsky J.63,Pech M.20,Pȩkala J.6,Pelayo R.76,Pereira L. A. S.77,Pereira Martins E. E.25267,Perez Armand J.38,Pérez Bertolli C.725,Perrone L.434,Petrera S.910,Petrucci C.1910,Pierog T.25,Pimenta M.2,Platino M.7,Pont B.27,Pothast M.2827,Pourmohammad Shahvar M.354,Privitera P.62,Prouza M.20,Querchfeld S.63,Rautenberg J.63,Ravignani D.7,Reginatto Akim J. V.32,Reininghaus M.2526,Ridky J.20,Riehn F.11,Risse M.46,Rizi V.1910,Rodrigues de Carvalho W.27,Rodriguez E.725,Rodriguez Rojo J.18,Roncoroni M. J.7,Rossoni S.78,Roth M.25,Roulet E.5,Rovero A. C.48,Ruehl P.46,Saftoiu A.52,Saharan M.27,Salamida F.1910,Salazar H.71,Salina G.4,Sanabria Gomez J. D.75,Sánchez F.7,Santos E. M.38,Santos E.20,Sarazin F.21,Sarmento R.2,Sato R.18,Savina P.69,Schäfer C. M.2526,Scherini V.434,Schieler H.25,Schimassek M.29,Schimp M.63,Schmidt D.25,Scholten O.34,Schoorlemmer H.2728,Schovánek P.20,Schröder F. G.6125,Schulte J.15,Schulz T.25,Sciutto S. J.47,Scornavacche M.725,Sedoski A.7,Segreto A.794,Sehgal S.63,Shivashankara S. U.60,Sigl G.78,Silli G.7,Sima O.52,Simkova K.34,Simon F.25,Smau R.52,Šmída R.62,Sommers P.,Soriano J. F.13,Squartini R.39,Stadelmaier M.41425,Stanič S.60,Stasielak J.6,Stassi P.23,Strähnz S.2526,Straub M.15,Suomijärvi T.29,Supanitsky A. D.7,Svozilikova Z.20,Szadkowski Z.80,Tairli F.1,Tapia A.81,Taricco C.164,Timmermans C.2827,Tkachenko O.25,Tobiska P.20,Todero Peixoto C. J.38,Tomé B.2,Torrès Z.23,Travaini A.39,Travnicek P.20,Trimarelli C.1910,Tueros M.47,Unger M.25,Vaclavek L.40,Vacula M.40,Valdés Galicia J. F.53,Valore L.414,Varela E.71,Vásquez-Ramírez A.75,Veberič D.25,Ventura C.50,Vergara Quispe I. D.47,Verzi V.4,Vicha J.20ORCID,Vink J.82,Vorobiov S.60,Watanabe C.31,Watson A. A.,Weindl A.25,Wiencke L.21,Wilczyński H.6,Wittkowski D.63,Wundheiler B.7,Yue B.63,Yushkov A.20,Zapparrata O.70,Zas E.11,Zavrtanik D.6059,Zavrtanik M.5960,

Affiliation:

1. University of Adelaide

2. Universidade de Lisboa—UL

3. Osservatorio Astrofisico di Torino (INAF)

4. INFN

5. Centro Atómico Bariloche and Instituto Balseiro (CNEA-UNCuyo-CONICET)

6. Institute of Nuclear Physics PAN

7. Instituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)

8. Universidad Tecnológica Nacional—Facultad Regional Buenos Aires

9. Gran Sasso Science Institute

10. INFN Laboratori Nazionali del Gran Sasso

11. Universidade de Santiago de Compostela

12. Università di Catania

13. City University of New York

14. Università di Milano

15. RWTH Aachen University

16. Università Torino

17. Universidad Michoacana de San Nicolás de Hidalgo

18. Observatorio Pierre Auger and Comisión Nacional de Energía Atómica

19. Università dell’Aquila

20. Institute of Physics of the Czech Academy of Sciences

21. Colorado School of Mines

22. Universidad Nacional de San Agustin de Arequipa

23. Univ. Grenoble Alpes

24. Instituto de Física de Rosario (IFIR)—CONICET/U.N.R. and Facultad de Ciencias Bioquímicas y Farmacéuticas U.N.R.

25. Karlsruhe Institute of Technology (KIT)

26. Institute for Experimental Particle Physics

27. Radboud University Nijmegen

28. Nationaal Instituut voor Kernfysica en Hoge Energie Fysica (NIKHEF)

29. Université Paris-Saclay

30. International Center of Advanced Studies and Instituto de Ciencias Físicas

31. Universidade Federal do Rio de Janeiro

32. Universidade Estadual de Campinas (UNICAMP)

33. Universidad de Granada and C.A.F.P.E.

34. Vrije Universiteit Brussels

35. Università di Palermo

36. Universidad Autónoma de Chiapas

37. Universidad Tecnológica Nacional—Facultad Regional Mendoza (CONICET/CNEA)

38. Universidade de São Paulo

39. Observatorio Pierre Auger

40. Palacky University

41. Università di Napoli “Federico II”

42. Politecnico di Milano

43. Università del Salento

44. Universidade Federal Fluminense

45. Case Western Reserve University

46. Universität Siegen

47. Universidad Nacional de La Plata and CONICET

48. Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA)

49. Universidad de Buenos Aires and CONICET

50. Universidade Federal do Rio de Janeiro (UFRJ)

51. Instituto Federal de Educação

52. “Horia Hulubei” National Institute for Physics and Nuclear Engineering

53. Universidad Nacional Autónoma de México

54. Centro Brasileiro de Pesquisas Fisicas

55. Universidade Federal do Paraná

56. Stichting Astronomisch Onderzoek in Nederland (ASTRON)

57. New York University

58. Michigan Technological University

59. J. Stefan Institute

60. University of Nova Gorica

61. University of Delaware

62. University of Chicago

63. Bergische Universität Wuppertal

64. Universidade Estadual de Feira de Santana

65. Institute of Space Science

66. Centro Federal de Educação Tecnológica Celso Suckow da Fonseca

67. Universidade Federal do ABC

68. Sorbonne Université

69. University of Wisconsin-Madison

70. Université Libre de Bruxelles (ULB)

71. Benemérita Universidad Autónoma de Puebla

72. Università di Roma “Tor Vergata”

73. Laboratorio Atmósfera—Departamento de Investigaciones en Láseres y sus Aplicaciones—UNIDEF (CITEDEF-CONICET)

74. Charles University

75. Universidad Industrial de Santander

76. Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas del Instituto Politécnico Nacional (UPIITA-IPN)

77. Universidade Federal de Campina Grande

78. Universität Hamburg

79. Istituto di Astrofisica Spaziale e Fisica Cosmica di Palermo (INAF)

80. University of Łódź

81. Universidad de Medellín

82. Universiteit van Amsterdam

Abstract

We test the predictions of hadronic interaction models regarding the depth of maximum of air-shower profiles, Xmax, and ground-particle signals in water-Cherenkov detectors at 1000 m from the shower core, S(1000), using the data from the fluorescence and surface detectors of the Pierre Auger Observatory. The test consists of fitting the measured two-dimensional (S(1000), Xmax) distributions using templates for simulated air showers produced with hadronic interaction models pos-, et--04, 2.3d and leaving the scales of predicted Xmax and the signals from hadronic component at ground as free-fit parameters. The method relies on the assumption that the mass composition remains the same at all zenith angles, while the longitudinal shower development and attenuation of ground signal depend on the mass composition in a correlated way. The analysis was applied to 2239 events detected by both the fluorescence and surface detectors of the Pierre Auger Observatory with energies between 1018.5eV to 1019.0eV and zenith angles below 60°. We found, that within the assumptions of the method, the best description of the data is achieved if the predictions of the hadronic interaction models are shifted to deeper Xmax values and larger hadronic signals at all zenith angles. Given the magnitude of the shifts and the data sample size, the statistical significance of the improvement of data description using the modifications considered in the paper is larger than 5σ even for any linear combination of experimental systematic uncertainties. Published by the American Physical Society 2024

Funder

Comisión Nacional de Investigación Científica y Tecnológica

Agencia Nacional de Promoción Científica y Tecnológica

Consejo Nacional de Investigaciones Científicas y Técnicas

Australian Research Council

Fonds De La Recherche Scientifique - FNRS

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Financiadora de Estudos e Projetos

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Fundação de Amparo à Pesquisa do Estado de São Paulo

Ministério da Ciência, Tecnologia, Inovações e Comunicações

Grantová Agentura České Republiky

Institut National de Physique Nucléaire et de Physique des Particules

Centre National de la Recherche Scientifique

Conseil Régional, Île-de-France

Institut Lagrange de Paris

Bundesministerium für Bildung und Forschung

Deutsche Forschungsgemeinschaft

Helmholtz Alliance for Astroparticle Physics

Helmholtz-Gemeinschaft

Ministerium für Innovation, Wissenschaft und Forschung des Landes Nordrhein-Westfalen

Bundesministerium für Bildung, Wissenschaft und Forschung

Ministerium für Wissenschaft, Forschung und Kunst Baden-Württemberg

Instituto Nazionale di Fisica Nucleare

Istituto Nazionale di Astrofisica

Ministero dell’Istruzione, dell’Università e della Ricerca

Ministero degli Affari Esteri e della Cooperazione Internazionale

Consejo Nacional de Ciencia y Tecnología

Universidad Nacional Autónoma de México

Ministry of Education, Culture, Sports, Science and Technology

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Ministry of Education and Science of the Russian Federation

Narodowe Centrum Nauki

Fundação para a Ciência e a Tecnologia

Ministerul Cercetării, Inovării şi Digitalizării

Corporation for National and Community Service

Javna Agencija za Raziskovalno Dejavnost RS

Ministerio de Economía y Competitividad

Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia

Junta de Andalucía

U.S. Department of Energy

National Science Foundation

Grainger Foundation

Marie Curie

United Nations Educational, Scientific and Cultural Organization

Université Paris-Saclay

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Département Physique Nucléaire et Corpusculaire

Investissements d’Avenir Programme

Finanzministerium Baden-Württemberg

Red Nacional Temática de Astropartículas

María de Maeztu Unit of Excellence

European Particle Physics Latin American Network

Publisher

American Physical Society (APS)

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