K. Hosokawa¹, K. Ieki^1,49, M. Ikeda^1,49, J. Kameda^1,49, Y. Kanemura¹, R. Kaneshima¹, Y. Kashiwagi¹, Y. Kataoka^1,49, S. Miki¹, S. Mine^1,7, M. Miura^1,49, S. Moriyama^1,49, M. Nakahata^1,49, S. Nakayama^1,49, Y. Noguchi¹, G. Pronost¹, K. Sato¹, K. Okamoto¹, H. Sekiya^1,49, H. Shiba¹, K. Shimizu¹, R. Shinoda¹, M. Shiozawa^1,49, Y. Sonoda¹, Y. Suzuki¹, A. Takeda^1,49, Y. Takemoto^1,49, A. Takenaka¹, H. Tanaka^1,49, T. Yano¹, T. Kajita^2,49,23, K. Okumura^2,49, R. Nishijima², T. Tashiro², T. Tomiya², X. Wang², S. Yoshida², P. Fernandez³, L. Labarga³, N. Ospina³, D. Samudio³, B. Zaldivar³, B. W. Pointon^6,53, C. Yanagisawa^4,35, E. Kearns^5,49, J. L. Raaf⁵, L. Wan⁵, T. Wester⁵, J. Bian⁷, B. Cortez⁷, N. J. Griskevich⁷, M. B. Smy^7,49, H. W. Sobel^7,49, V. Takhistov^7,25, A. Yankelevich⁷, J. Hill⁸, M. C. Jang⁹, S. H. Lee⁹, D. H. Moon⁹, R. G. Park⁹, B. S. Yang⁹, B. Bodur¹⁰, K. Scholberg^10,49, C. W. Walter^10,49, A. Beauchêne¹¹, O. Drapier¹¹, A. Giampaolo¹¹, A. Ershova¹¹, Th. A. Mueller¹¹, A. D. Santos¹¹, P. Paganini¹¹, C. Quach¹¹, R. Rogly¹¹, T. Nakamura¹², J. S. Jang¹³, L. N. Machado¹⁴, F. P. Soler¹⁴, J. G. Learned¹⁵, K. Choi¹⁶, N. Iovine¹⁶, S. Cao¹⁷, L. H. V. Anthony¹⁸, D. Martin¹⁸, N. W. Prouse¹⁸, M. Scott¹⁸, Y. Uchida¹⁸, A. A. Sztuc¹⁸, V. Berardi¹⁹, N. F. Calabria¹⁹, M. G. Catanesi¹⁹, E. Radicioni¹⁹, A. Langella²⁰, G. De Rosa²⁰, G. Collazuol²¹, M. Feltre²¹, F. Iacob²¹, M. Mattiazzi²¹, L. Ludovici²², M. Gonin²³, L. Périssé²³, B. Quilain²³, C. Fujisawa²⁴, S. Horiuchi²⁴, A. Kawabata²⁴, M. Kobayashi²⁴, Y. M. Liu²⁴, Y. Maekawa²⁴, Y. Nishimura²⁴, R. Okazaki²⁴, R. Akutsu²⁵, M. Friend²⁵, T. Hasegawa²⁵, T. Ishida²⁵, T. Kobayashi²⁵, M. Jakkapu²⁵, T. Matsubara²⁵, T. Nakadaira²⁵, K. Nakamura^25,49, Y. Oyama²⁵, A. Portocarrero Yrey²⁵, K. Sakashita²⁵, T. Sekiguchi²⁵, T. Tsukamoto²⁵, N. Bhuiyan²⁶, G. T. Burton²⁶, F. Di Lodovico²⁶, J. Gao²⁶, A. Goldsack²⁶, T. Katori²⁶, J. Migenda²⁶, R. M. Ramsden²⁶, Z. Xie²⁶, S. Zsoldos^26,49, T. Sone²⁷, A. T. Suzuki²⁷, Y. Takagi²⁷, Y. Takeuchi^27,49, S. Wada²⁷, H. Zhong²⁷, J. Feng²⁸, L. Feng²⁸, J. Hikida²⁸, J. R. Hu²⁸, Z. Hu²⁸, M. Kawaue²⁸, T. Kikawa²⁸, M. Mori²⁸, T. Nakaya^28,49, T. V. Ngoc²⁸, R. A. Wendell^28,49, K. Yasutome²⁸, S. J. Jenkins²⁹, N. McCauley²⁹, A. Tarrant²⁹, P. Mehta²⁹, M. Fanì³⁰, M. J. Wilking³⁰, Y. Fukuda³¹, Y. Itow^32,33, H. Menjo³², Y. Yoshioka³², K. Ninomiya³², J. Lagoda³⁴, S. M. Lakshmi³⁴, M. Mandal³⁴, P. Mijakowski³⁴, Y. S. Prabhu³⁴, J. Zalipska³⁴, M. Jia³⁵, J. Jiang³⁵, C. K. Jung³⁵, W. Shi³⁵, K. Hamaguchi³⁶, Y. Hino³⁶, H. Ishino³⁶, Y. Koshio^36,49, F. Nakanishi³⁶, S. Sakai³⁶, T. Tada³⁶, T. Tano³⁶, T. Ishizuka³⁷, G. Barr³⁸, D. Barrow³⁸, L. Cook^38,49, S. Samani³⁸, D. Wark^38,44, A. Holin³⁹, F. Nova³⁹, S. Jung⁴⁰, J. Y. Yang⁴⁰, J. Yoo⁴⁰, J. E. P. Fannon⁴¹, L. Kneale⁴¹, M. Malek⁴¹, J. M. McElwee⁴¹, T. Peacock⁴¹, P. Stowell⁴¹, M. D. Thiesse⁴¹, L. F. Thompson⁴¹, S. T. Wilson⁴¹, H. Okazawa⁴², S. M. Lakshmi⁴³, S. B. Kim⁴⁵, E. Kwon⁴⁵, M. W. Lee⁴⁵, J. W. Seo⁴⁵, I. Yu⁴⁵, A. K. Ichikawa⁴⁶, K. D. Nakamura⁴⁶, S. Tairafune⁴⁶, K. Nishijima⁴⁷, A. Eguchi⁴⁸, S. Goto⁴⁸, S. Kodama⁴⁸, Y. Mizuno⁴⁸, T. Muro⁴⁸, K. Nakagiri⁴⁸, Y. Nakajima^48,49, S. Shima⁴⁸, N. Taniuchi⁴⁸, E. Watanabe⁴⁸, M. Yokoyama^48,49, P. de Perio⁴⁹, S. Fujita⁴⁹, C. Jesús-Valls⁴⁹, K. Martens⁴⁹, Ll. Marti⁴⁹, K. M. Tsui⁴⁹, M. R. Vagins^49,7, J. Xia⁴⁹, M. Kuze⁵⁰, S. Izumiyama⁵⁰, R. Matsumoto⁵⁰, K. Terada⁵⁰, R. Asaka⁵¹, M. Ishitsuka⁵¹, H. Ito⁵¹, Y. Ommura⁵¹, N. Shigeta⁵¹, M. Shinoki⁵¹, M. Sugo⁵¹, M. Wako⁵¹, K. Yamauchi⁵¹, T. Yoshida⁵¹, Y. Nakano⁵², F. Cormier²⁸, R. Gaur⁵³, V. Gousy-Leblanc^53,*, M. Hartz⁵³, A. Konaka⁵³, X. Li⁵³, B. R. Smithers⁵³, S. Chen⁵⁴, Y. Wu⁵⁴, B. D. Xu⁵⁴, A. Q. Zhang⁵⁴, B. Zhang⁵⁴, M. Girgus⁵⁴, P. Govindaraj⁵⁴, M. Posiadala-Zezula⁵⁵, S. B. Boyd⁵⁶, R. Edwards⁵⁶, D. Hadley⁵⁶, M. Nicholson⁵⁶, M. O’Flaherty⁵⁶, B. Richards⁵⁶, A. Ali^57,53, B. Jamieson⁵⁷, S. Amanai⁵⁸, D. Hamaguchi⁵⁸, A. Minamino⁵⁸, Y. Sasaki⁵⁸, R. Shibayama⁵⁸, R. Shimamura⁵⁸, and S. Suzuki⁵⁸ (Super-Kamiokande Collaboration)

• ¹Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan
• ²Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan
• ³Department of Theoretical Physics, University Autonoma Madrid, 28049 Madrid, Spain
• ⁴Science Department, Borough of Manhattan Community College / City University of New York, New York, New York, 1007, USA
• ⁵Department of Physics, Boston University, Boston, Massachusetts 02215, USA
• ⁶Department of Physics, British Columbia Institute of Technology, Burnaby, British Columbia V5G 3H2, Canada
• ⁷Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA
• ⁸Department of Physics, California State University, Dominguez Hills, Carson, California 90747, USA
• ⁹Institute for Universe and Elementary Particles, Chonnam National University, Gwangju 61186, Korea
• ¹⁰Department of Physics, Duke University, Durham, North Carolina 27708, USA
• ¹¹Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet, F-91120 Palaiseau, France
• ¹²Department of Physics, Gifu University, Gifu, Gifu 501-1193, Japan
• ¹³GIST College, Gwangju Institute of Science and Technology, Gwangju 500-712, Korea
• ¹⁴School of Physics and Astronomy, University of Glasgow, Glasgow, Scotland, G12 8QQ, United Kingdom
• ¹⁵Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA
• ¹⁶Center for Underground Physics, Institute for Basic Science (IBS), Daejeon, 34126, Korea
• ¹⁷Institute For Interdisciplinary Research in Science and Education, ICISE, Quy Nhon, 55121, Vietnam
• ¹⁸Department of Physics, Imperial College London, London, SW7 2AZ, United Kingdom
• ¹⁹Dipartimento Interuniversitario di Fisica, INFN Sezione di Bari and Università e Politecnico di Bari, I-70125, Bari, Italy
• ²⁰Dipartimento di Fisica, INFN Sezione di Napoli and Università di Napoli, I-80126, Napoli, Italy
• ²¹Dipartimento di Fisica, INFN Sezione di Padova and Università di Padova, I-35131, Padova, Italy
• ²²INFN Sezione di Roma and Università di Roma “La Sapienza,” I-00185, Roma, Italy
• ²³ILANCE, CNRS-University of Tokyo International Research Laboratory, Kashiwa, Chiba 277-8582, Japan
• ²⁴Department of Physics, Keio University, Yokohama, Kanagawa, 223-8522, Japan
• ²⁵High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
• ²⁶Department of Physics, King’s College London, London, WC2R 2LS, United Kingdom
• ²⁷Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan
• ²⁸Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan
• ²⁹Department of Physics, University of Liverpool, Liverpool, L69 7ZE, United Kingdom
• ³⁰School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
• ³¹Department of Physics, Miyagi University of Education, Sendai, Miyagi 980-0845, Japan
• ³²Institute for Space-Earth Environmental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan
• ³³Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya, Aichi 464-8602, Japan
• ³⁴National Centre For Nuclear Research, 02-093 Warsaw, Poland
• ³⁵Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA
• ³⁶Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan
• ³⁷Media Communication Center, Osaka Electro-Communication University, Neyagawa, Osaka, 572-8530, Japan
• ³⁸Department of Physics, Oxford University, Oxford, OX1 3PU, United Kingdom
• ³⁹Rutherford Appleton Laboratory, Harwell, Oxford, OX11 0QX, United Kingdom
• ⁴⁰Department of Physics and Astronomy, Seoul National University, Seoul 151-742, Korea
• ⁴¹Department of Physics and Astronomy, University of Sheffield, S3 7RH, Sheffield, United Kingdom
• ⁴²Department of Informatics in Social Welfare, Shizuoka University of Welfare, Yaizu, Shizuoka, 425-8611, Japan
• ⁴³August Chełkowski Institute of Physics, University of Silesia in Katowice, 75 Pułku Piechoty 1, 41-500 Chorzów, Poland
• ⁴⁴STFC, Rutherford Appleton Laboratory, Harwell Oxford, and Daresbury Laboratory, Warrington, OX11 0QX, United Kingdom
• ⁴⁵Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea
• ⁴⁶Department of Physics, Faculty of Science, Tohoku University, Sendai, Miyagi, 980-8578, Japan
• ⁴⁷Department of Physics, Tokai University, Hiratsuka, Kanagawa 259-1292, Japan
• ⁴⁸Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan
• ⁴⁹Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba 277-8583, Japan
• ⁵⁰Department of Physics, Institute of Science Tokyo, Meguro, Tokyo 152-8551, Japan
• ⁵¹Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan
• ⁵²Faculty of Science, University of Toyama, Toyama City, Toyama 930-8555, Japan
• ⁵³TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T2A3, Canada
• ⁵⁴Department of Engineering Physics, Tsinghua University, Beijing, 100084, China
• ⁵⁵Faculty of Physics, University of Warsaw, Warsaw, 02-093, Poland
• ⁵⁶Department of Physics, University of Warwick, Coventry, CV4 7AL, United Kingdom
• ⁵⁷Department of Physics, University of Winnipeg, MB R3J 3L8, Canada
• ⁵⁸Department of Physics, Yokohama National University, Yokohama, Kanagawa, 240-8501, Japan

• ^*Also at University of Victoria, Department of Physics and Astronomy, PO Box 1700 STN CSC, Victoria, British Columbia V8W 2Y2, Canada.