A

Event reconstruction for KM3NeT/ORCA using convolutional neural networks

Journal of Instrumentation, vol. 15, pp. P10005

Abstract

The KM3NeT research infrastructure is currently under construction at two locations in the Mediterranean Sea. The KM3NeT/ORCA water-Cherenkov neutrino detector off the French coast will instrument several megatons of seawater with photosensors. Its main objective is the determination of the neutrino mass ordering. This work aims at demonstrating the general applicability of deep convolutional neural networks to neutrino telescopes, using simulated datasets for the KM3NeT/ORCA detector as an example. To this end, the networks are employed to achieve reconstruction and classification tasks that constitute an alternative to the analysis pipeline presented for KM3NeT/ORCA in the KM3NeT Letter of Intent. They are used to infer event reconstruction estimates for the energy, the direction, and the interaction point of incident neutrinos. The spatial distribution of Cherenkov light generated by charged particles induced in neutrino interactions is classified as shower- or track-like, and the main background processes associated with the detection of atmospheric neutrinos are recognized. Performance comparisons to machine-learning classification and maximum-likelihood reconstruction algorithms previously developed for KM3NeT/ORCA are provided. It is shown that this application of deep convolutional neural networks to simulated datasets for a large-volume neutrino telescope yields competitive reconstruction results and performance improvements with respect to classical approaches.

Authors 99

  1. Istituto Nazionale di Fisica Nucleare, Sezione di Catania

    Affiliation as printed

    INFN, Sezione di Catania, Via Santa Sofia 64, Catania, 95123 Italy

  2. Université de Haute-Alsace · Institut Pluridisciplinaire Hubert Curien · Institut National de Physique Nucléaire et de Physique des Particules · Université de Strasbourg

    Affiliation as printed

    IN2P3, IPHC, 23 rue du Loess, Strasbourg, 67037 France

    Université de Strasbourg, Université de Haute Alsace, GRPHE, 34, Rue du Grillenbreit, Colmar, 68008 France

  3. Universitat de València · Instituto de Física Corpuscular

    Affiliation as printed

    IFIC - Instituto de Física Corpuscular (CSIC - Universitat de València), c/Catedrático José Beltrán, 2, 46980 Paterna, Valencia, Spain

  4. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  5. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I

    Affiliation as printed

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

  6. Universitat Politècnica de Catalunya

    Affiliation as printed

    Universitat Politècnica de Catalunya, Laboratori d'Aplicacions Bioacústiques, Centre Tecnològic de Vilanova i la Geltrú, Avda. Rambla Exposició, s/n, Vilanova i la Geltrú, 08800 Spain

  7. National Centre of Scientific Research "Demokritos" · Institute of Nuclear and Particle Physics

    Affiliation as printed

    NCSR Demokritos, Institute of Nuclear and Particle Physics, Ag. Paraskevi Attikis, Athens, 15310 Greece

  8. Istituto Nazionale di Fisica Nucleare, Sezione di Genova

    Affiliation as printed

    INFN, Sezione di Genova, Via Dodecaneso 33, Genova, 16146 Italy

  9. Universidad de Granada

    Affiliation as printed

    University of Granada, Dept. of Computer Architecture and Technology/CITIC, 18071 Granada, Spain

  10. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  11. Universitat Politècnica de València

    Affiliation as printed

    Universitat Politècnica de València, Instituto de Investigación para la Gestión Integrada de las Zonas Costeras, C/ Paranimf, 1, Gandia, 46730 Spain

  12. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  13. National Centre of Scientific Research "Demokritos" · Institute of Nuclear and Particle Physics

    Affiliation as printed

    NCSR Demokritos, Institute of Nuclear and Particle Physics, Ag. Paraskevi Attikis, Athens, 15310 Greece

  14. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · University of Naples Federico II

    Affiliation as printed

    INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università di Napoli “Federico II”, Dip. Scienze Fisiche “E. Pancini”, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università di Napoli "Federico II", Dip. Scienze Fisiche "E. Pancini", Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

  15. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  16. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  17. Mohammed V University

    Affiliation as printed

    University Mohammed V in Rabat, Faculty of Sciences, 4 av. Ibn Battouta, B.P. 1014, R.P. 10000 Rabat, Morocco

  18. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  19. University of Groningen

    Affiliation as printed

    KVI-CART University of Groningen, Groningen, the Netherlands

  20. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  21. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  22. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I

    Affiliation as printed

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

  23. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  24. North-West University

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    North-West University, Centre for Space Research, Private Bag X6001, Potchefstroom, 2520 South Africa

  25. Mohammed V University

    Affiliation as printed

    University Mohammed V in Rabat, Faculty of Sciences, 4 av. Ibn Battouta, B.P. 1014, R.P. 10000 Rabat, Morocco

  26. Mohamed I University

    Affiliation as printed

    University Mohammed I, Faculty of Sciences, BV Mohammed VI, B.P. 717, R.P. 60000 Oujda, Morocco

  27. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  28. University of Salerno · Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Salerno

    Affiliation as printed

    Università di Salerno e INFN Gruppo Collegato di Salerno, Dipartimento di Matematica, Via Giovanni Paolo II 132, Fisciano, 84084 Italy

  29. Institute of Space Science - INFLPR Subsidiary

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    ISS, Atomistilor 409, Măgurele, RO-077125 Romania

  30. National Institute for Subatomic Physics · Institute of Physics · Institute for High Energy Physics · University of Amsterdam

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    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

    University of Amsterdam, Institute of Physics/IHEF, PO Box 94216, Amsterdam, 1090 GE Netherlands

  31. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  32. Netherlands Organisation for Applied Scientific Research

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    TNO, Technical Sciences, PO Box 155, Delft, 2600 AD Netherlands

  33. University of Campania "Luigi Vanvitelli" · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

    Affiliation as printed

    INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università degli Studi della Campania “Luigi Vanvitelli”, Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

    Università degli Studi della Campania "Luigi Vanvitelli", Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

  34. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  35. Istituto Nazionale di Fisica Nucleare, Sezione di Genova

    Affiliation as printed

    INFN, Sezione di Genova, Via Dodecaneso 33, Genova, 16146 Italy

  36. Universitat de València · Instituto de Física Corpuscular

    Affiliation as printed

    IFIC - Instituto de Física Corpuscular (CSIC - Universitat de València), c/Catedrático José Beltrán, 2, 46980 Paterna, Valencia, Spain

  37. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Sapienza University of Rome

    Affiliation as printed

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

    Università La Sapienza, Dipartimento di Fisica, Piazzale Aldo Moro 2, Roma, 00185 Italy

  38. Universitat de València · Instituto de Física Corpuscular

    Affiliation as printed

    IFIC - Instituto de Física Corpuscular (CSIC - Universitat de València), c/Catedrático José Beltrán, 2, 46980 Paterna, Valencia, Spain

  39. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna

    Affiliation as printed

    INFN, Sezione di Bologna, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

  40. Gran Sasso Science Institute · Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Sapienza University of Rome

    Affiliation as printed

    Gran Sasso Science Institute, GSSI, Viale Francesco Crispi 7, L'Aquila, 67100 Italy

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

    Università La Sapienza, Dipartimento di Fisica, Piazzale Aldo Moro 2, Roma, 00185 Italy

  41. Cadi Ayyad University

    Affiliation as printed

    Cadi Ayyad University, Physics Department, Faculty of Science Semlalia, Av. My Abdellah, P.O.B. 2390, Marrakech, 40000 Morocco

  42. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  43. University of the Witwatersrand

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    University of the Witwatersrand, School of Physics, Private Bag 3, Johannesburg, Wits 2050 South Africa

  44. University of Catania · Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

    Università di Catania, Dipartimento di Fisica e Astronomia, Via Santa Sofia 64, Catania, 95123 Italy

  45. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati

    Affiliation as printed

    INFN, LNF, Via Enrico Fermi, 40, Frascati, 00044 Italy

  46. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna

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    INFN, Sezione di Bologna, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

  47. Istituto Nazionale di Fisica Nucleare, Sezione di Bari

    Affiliation as printed

    INFN, Sezione di Bari, Via Amendola 173, Bari, 70126 Italy

  48. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  49. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  50. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  51. Centre National de la Recherche Scientifique · Universitat de València · Université Paris Cité · Instituto de Física Corpuscular

    Affiliation as printed

    IFIC - Instituto de Física Corpuscular (CSIC - Universitat de València), c/Catedrático José Beltrán, 2, 46980 Paterna, Valencia, Spain

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  52. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  53. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  54. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  55. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  56. University of Campania "Luigi Vanvitelli" · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

    Affiliation as printed

    INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università degli Studi della Campania “Luigi Vanvitelli”, Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

    Università degli Studi della Campania "Luigi Vanvitelli", Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

  57. Centre National de la Recherche Scientifique · IMT Atlantique · Institut National de Physique Nucléaire et de Physique des Particules · Université de Nantes · Nantes Université

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    Subatech, IMT Atlantique, IN2P3-CNRS, Université de Nantes, 4 rue Alfred Kastler - La Chantrerie, Nantes, BP 20722 44307 France

  58. Istituto Nazionale di Fisica Nucleare, Sezione di Bari · University of Bari Aldo Moro

    Affiliation as printed

    INFN, Sezione di Bari, Via Amendola 173, Bari, 70126 Italy

    University of Bari, Via Amendola 173, Bari, 70126 Italy

  59. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Sapienza University of Rome

    Affiliation as printed

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

    Università La Sapienza, Dipartimento di Fisica, Piazzale Aldo Moro 2, Roma, 00185 Italy

  60. Universidad de Granada

    Affiliation as printed

    University of Granada, Dept. of Computer Architecture and Technology/CITIC, 18071 Granada, Spain

  61. Universitat Politècnica de València

    Affiliation as printed

    Universitat Politècnica de València, Instituto de Investigación para la Gestión Integrada de las Zonas Costeras, C/ Paranimf, 1, Gandia, 46730 Spain

  62. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  63. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Istituto Nazionale di Fisica Nucleare, Sezione di Genova · Institut National de Physique Nucléaire et de Physique des Particules · University of Genoa

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

    INFN, Sezione di Genova, Via Dodecaneso 33, Genova, 16146 Italy

    Università di Genova, Via Dodecaneso 33, Genova, 16146 Italy

  64. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · University of Bologna

    Affiliation as printed

    INFN, Sezione di Bologna, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

    Università di Bologna, Dipartimento di Fisica e Astronomia, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

  65. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  66. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  67. University of Würzburg

    Affiliation as printed

    University Würzburg, Emil-Fischer-Straße 31, Würzburg, 97074 Germany

  68. Université de Haute-Alsace · Institut Pluridisciplinaire Hubert Curien · Institut National de Physique Nucléaire et de Physique des Particules · Université de Strasbourg

    Affiliation as printed

    IN2P3, IPHC, 23 rue du Loess, Strasbourg, 67037 France

    Université de Strasbourg, Université de Haute Alsace, GRPHE, 34, Rue du Grillenbreit, Colmar, 68008 France

  69. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  70. Mohammed V University

    Affiliation as printed

    University Mohammed V in Rabat, Faculty of Sciences, 4 av. Ibn Battouta, B.P. 1014, R.P. 10000 Rabat, Morocco

  71. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  72. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  73. Mohamed I University

    Affiliation as printed

    University Mohammed I, Faculty of Sciences, BV Mohammed VI, B.P. 717, R.P. 60000 Oujda, Morocco

  74. University of Würzburg

    Affiliation as printed

    University Würzburg, Emil-Fischer-Straße 31, Würzburg, 97074 Germany

  75. Centre National de la Recherche Scientifique · Aix-Marseille Université · Centre de physique des particules de Marseille · Institut National de Physique Nucléaire et de Physique des Particules

    Affiliation as printed

    Aix Marseille Univ, CNRS/IN2P3, CPPM, Marseille, France

  76. Universitat Politècnica de València

    Affiliation as printed

    Universitat Politècnica de València, Instituto de Investigación para la Gestión Integrada de las Zonas Costeras, C/ Paranimf, 1, Gandia, 46730 Spain

  77. Istituto Nazionale di Fisica Nucleare, Sezione di Roma I · Sapienza University of Rome

    Affiliation as printed

    INFN, Sezione di Roma, Piazzale Aldo Moro 2, Roma, 00185 Italy

    Università La Sapienza, Dipartimento di Fisica, Piazzale Aldo Moro 2, Roma, 00185 Italy

  78. University of Catania · Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

    Università di Catania, Dipartimento di Fisica e Astronomia, Via Santa Sofia 64, Catania, 95123 Italy

  79. Western Sydney University

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    Western Sydney University, School of Computing, Engineering and Mathematics, Locked Bag 1797, Penrith, NSW 2751 Australia

  80. Istituto Nazionale di Fisica Nucleare, Sezione di Bologna · University of Bologna

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    INFN, Sezione di Bologna, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

    Università di Bologna, Dipartimento di Fisica e Astronomia, v.le C. Berti-Pichat, 6/2, Bologna, 40127 Italy

  81. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  82. Laboratoire Univers et Particules de Montpellier

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    Laboratoire Univers et Particules de Montpellier), Place Eugène Bataillon - CC 72, Montpellier Cédex 05, 34095 France

  83. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  84. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli · University of Naples Federico II

    Affiliation as printed

    INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università di Napoli “Federico II”, Dip. Scienze Fisiche “E. Pancini”, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università di Napoli "Federico II", Dip. Scienze Fisiche "E. Pancini", Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

  85. Centre National de la Recherche Scientifique · Université Paris Cité

    Affiliation as printed

    Université de Paris, CNRS, Astroparticule et Cosmologie, F-75013 Paris, France

  86. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  87. University of Campania "Luigi Vanvitelli" · Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

    Affiliation as printed

    INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia ed. G, Napoli, 80126 Italy

    Università degli Studi della Campania “Luigi Vanvitelli”, Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

    Università degli Studi della Campania "Luigi Vanvitelli", Dipartimento di Matematica e Fisica, viale Lincoln 5, Caserta, 81100 Italy

  88. Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Sud

    Affiliation as printed

    INFN, Laboratori Nazionali del Sud, Via S. Sofia 62, Catania, 95123 Italy

  89. Universitat de València · Instituto de Física Corpuscular

    Affiliation as printed

    IFIC - Instituto de Física Corpuscular (CSIC - Universitat de València), c/Catedrático José Beltrán, 2, 46980 Paterna, Valencia, Spain

  90. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

  91. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  92. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa

    Affiliation as printed

    INFN, Sezione di Pisa, Largo Bruno Pontecorvo 3, Pisa, 56127 Italy

  93. University of Salerno · Istituto Nazionale di Fisica Nucleare · Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Salerno

    Affiliation as printed

    Università di Salerno e INFN Gruppo Collegato di Salerno, Dipartimento di Fisica, Via Giovanni Paolo II 132, Fisciano, 84084 Italy

  94. University of Münster

    Affiliation as printed

    University of Münster, Institut für Kernphysik, Wilhelm-Klemm-Str. 9, Münster, 48149 Germany

  95. Istituto Nazionale di Fisica Nucleare, Sezione di Genova · University of Genoa

    Affiliation as printed

    INFN, Sezione di Genova, Via Dodecaneso 33, Genova, 16146 Italy

    Università di Genova, Via Dodecaneso 33, Genova, 16146 Italy

  96. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Affiliation as printed

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen Centre for Astroparticle Physics, Erwin-Rommel-Straße 1, 91058 Erlangen, Germany

  97. Mohammed V University

    Affiliation as printed

    University Mohammed V in Rabat, Faculty of Sciences, 4 av. Ibn Battouta, B.P. 1014, R.P. 10000 Rabat, Morocco

  98. Utrecht University · Royal Netherlands Institute for Sea Research

    Affiliation as printed

    NIOZ (Royal Netherlands Institute for Sea Research) and Utrecht University, PO Box 59, Den Burg, Texel, 1790 AB, the Netherlands

  99. National Institute for Subatomic Physics

    Affiliation as printed

    Nikhef, National Institute for Subatomic Physics, PO Box 41882, Amsterdam, 1009 DB Netherlands

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