Atmospheric neutrino oscillation analysis with external constraints in Super-Kamiokande I-IV

Abe, K. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Bronner, C. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Haga, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Hayato, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Ikeda, M. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Iyogi, K. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Kameda, J. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Kato, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Kishimoto, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Marti, Ll. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Miura, M. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Moriyama, S. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Nakahata, M. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Nakajima, T. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Nakano, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Nakayama, S. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Okajima, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Orii, A. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Pronost, G. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Sekiya, H. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Shiozawa, M. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Sonoda, Y. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Takeda, A. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Takenaka, A. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Tanaka, H. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Tasaka, S. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) ; Tomura, T. (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan) (Kavli 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) ; Akutsu, R. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Irvine, T. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Kajita, T. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) (Kavli 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) ; Kametani, I. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Kaneyuki, K. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) (Kavli 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) ; Nishimura, Y. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Okumura, K. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) (Kavli 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) ; Richard, E. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Tsui, K. M. (Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan) ; Labarga, L. (Department of Theoretical Physics, University Autonoma Madrid, 28049 Madrid, Spain) ; Fernandez, P. (Department of Theoretical Physics, University Autonoma Madrid, 28049 Madrid, Spain) ; Blaszczyk, F. d. M. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) ; Gustafson, J. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) ; Kachulis, C. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) ; Kearns, E. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) (Kavli 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) ; Raaf, J. L. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) ; Stone, J. L. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) (Kavli 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) ; Sulak, L. R. (Department of Physics, Boston University, Boston, Massachusetts 02215, USA) ; Berkman, S. (Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T1Z4, Canada) ; Tobayama, S. (Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T1Z4, Canada) ; Goldhaber, M. (Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA) ; Carminati, G. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Elnimr, M. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Kropp, W. R. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Mine, S. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Locke, S. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Renshaw, A. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Smy, M. B. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) (Kavli 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) ; Sobel, H. W. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) (Kavli 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) ; Takhistov, V. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Weatherly, P. (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Ganezer, K. S. (Department of Physics, California State University, Dominguez Hills, Carson, California 90747, USA) ; Hartfiel, B. L. (Department of Physics, California State University, Dominguez Hills, Carson, California 90747, USA) ; Hill, J. (Department of Physics, California State University, Dominguez Hills, Carson, California 90747, USA) ; Hong, N. (Department of Physics, Chonnam National University, Kwangju 500-757, Korea) ; Kim, J. Y. (Department of Physics, Chonnam National University, Kwangju 500-757, Korea) ; Lim, I. T. (Department of Physics, Chonnam National University, Kwangju 500-757, Korea) ; Park, R. G. (Department of Physics, Chonnam National University, Kwangju 500-757, Korea) ; Akiri, T. (Department of Physics, Duke University, Durham North Carolina 27708, USA) ; Himmel, A. (Department of Physics, Duke University, Durham North Carolina 27708, USA) ; Li, Z. (Department of Physics, Duke University, Durham North Carolina 27708, USA) ; O’Sullivan, E. (Department of Physics, Duke University, Durham North Carolina 27708, USA) ; Scholberg, K. (Department of Physics, Duke University, Durham North Carolina 27708, USA) (Kavli 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) ; Walter, C. W. (Department of Physics, Duke University, Durham North Carolina 27708, USA) (Kavli 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) ; Wongjirad, T. (Department of Physics, Duke University, Durham North Carolina 27708, USA) ; Ishizuka, T. (Junior College, Fukuoka Institute of Technology, Fukuoka, Fukuoka 811-0295, Japan) ; Nakamura, T. (Department of Physics, Gifu University, Gifu, Gifu 501-1193, Japan) ; Jang, J. S. (GIST College, Gwangju Institute of Science and Technology, Gwangju 500-712, Korea) ; Choi, K. (Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA) ; Learned, J. G. (Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA) ; Matsuno, S. (Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA) ; Smith, S. N. (Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA) ; Amey, J. (Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom) ; Litchfield, R. P. (Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom) ; Ma, W. Y. (Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom) ; Uchida, Y. (Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom) ; Wascko, M. O. (Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom) ; Cao, S. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Friend, M. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Hasegawa, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Ishida, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Ishii, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Kobayashi, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Nakadaira, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Nakamura, K. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) (Kavli 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) ; Oyama, Y. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Sakashita, K. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Sekiguchi, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Tsukamoto, T. (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan) ; Abe, KE. (Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan) ; Hasegawa, M. (Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan) ; Suzuki, A. T. (Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan) ; Takeuchi, Y. (Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan) (Kavli 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) ; Yano, T. (Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan) ; Hayashino, T. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Hirota, S. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Huang, K. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Ieki, K. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Jiang, M. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Kikawa, T. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Nakamura, KE. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Nakaya, T. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) (Kavli 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) ; Patel, N. D. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Suzuki, K. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) ; Takahashi, S. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) (Kavli 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) ; Wendell, R. A. (Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan) (Kavli 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) ; Anthony, L. H. V. (Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom) ; McCauley, N. (Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom) ; Pritchard, A. (Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom) ; Fukuda, Y. (Department of Physics, Miyagi University of Education, Sendai, Miyagi 980-0845, Japan) ; Itow, Y. (Institute for Space-Earth Enviromental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan) (Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya, Aichi 464-8602, Japan) ; Mitsuka, G. (Institute for Space-Earth Enviromental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan) ; Murase, M. (Institute for Space-Earth Enviromental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan) ; Muto, F. (Institute for Space-Earth Enviromental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan) ; Suzuki, T. (Institute for Space-Earth Enviromental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan) ; Mijakowski, P. (National Centre For Nuclear Research, 00-681 Warsaw, Poland) ; Frankiewicz, K. (National Centre For Nuclear Research, 00-681 Warsaw, Poland) ; Hignight, J. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Imber, J. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Jung, C. K. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Li, X. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Palomino, J. L. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Santucci, G. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Vilela, C. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Wilking, M. J. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Yanagisawa, C. (Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA) ; Ito, S. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Fukuda, D. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Ishino, H. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Kayano, T. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Kibayashi, A. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Koshio, Y. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) (Kavli 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) ; Mori, T. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Nagata, H. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Sakuda, M. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Xu, C. (Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan) ; Kuno, Y. (Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan) ; Wark, D. (Department of Physics, Oxford University, Oxford OX1 3PU, United Kingdom) (STFC, Rutherford Appleton Laboratory, Harwell Oxford, and Daresbury Laboratory, Warrington OX11 0QX, United Kingdom) ; Di Lodovico, F. (School of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom) ; Richards, B. (School of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom) ; Tacik, R. (Department of Physics, University of Regina, 3737 Wascana Parkway, Regina, Saskatchewan‎ S4SOA2, Canada) (TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T2A3, Canada) ; Kim, S. B. (Department of Physics, Seoul National University, Seoul 151-742, Korea) ; Cole, A. (Department of Physics and Astronomy, University of Sheffield, S10 2TN Sheffield, United Kingdom) ; Thompson, L. (Department of Physics and Astronomy, University of Sheffield, S10 2TN Sheffield, United Kingdom) ; Okazawa, H. (Department of Informatics in Social Welfare, Shizuoka University of Welfare, Yaizu, Shizuoka 425-8611, Japan) ; Choi, Y. (Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea) ; Ito, K. (Department of Physics, Tokai University, Hiratsuka, Kanagawa 259-1292, Japan) ; Nishijima, K. (Department of Physics, Tokai University, Hiratsuka, Kanagawa 259-1292, Japan) ; Koshiba, M. (The University of Tokyo, Bunkyo, Tokyo 113-0033, Japan) ; Totsuka, Y. (The University of Tokyo, Bunkyo, Tokyo 113-0033, Japan) ; Suda, Y. (Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan) ; Yokoyama, M. (Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan) (Kavli 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) ; Calland, R. G. (Kavli 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) ; Hartz, M. (Kavli 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) ; Martens, K. (Kavli 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) ; Quilain, B. (Kavli 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) ; Simpson, C. (Kavli 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) (Department of Physics, Oxford University, Oxford OX1 3PU, United Kingdom) ; Suzuki, Y. (Kavli 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) ; Vagins, M. R. (Kavli 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) (Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA) ; Hamabe, D. (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan) ; Kuze, M. (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan) ; Yoshida, T. (Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan) ; Ishitsuka, M. (Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan) ; Martin, J. F. (Department of Physics, University of Toronto, Ontario M5S 1A7, Canada) ; Nantais, C. M. (Department of Physics, University of Toronto, Ontario M5S 1A7, Canada) ; de Perio, P. (Department of Physics, University of Toronto, Ontario M5S 1A7, Canada) ; Tanaka, H. A. (Department of Physics, University of Toronto, Ontario M5S 1A7, Canada) ; Konaka, A. (TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T2A3, Canada) ; Chen, S. (Department of Engineering Physics, Tsinghua University, Beijing 100084, China) ; Wan, L. (Department of Engineering Physics, Tsinghua University, Beijing 100084, China) ; Zhang, Y. (Department of Engineering Physics, Tsinghua University, Beijing 100084, China) ; Wilkes, R. J. (Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA) ; Minamino, A. (Faculty of Engineering, Yokohama National University, Yokohama 240-8501, Japan)

03 April 2018

Abstract: An analysis of atmospheric neutrino data from all four run periods of Super-Kamiokande optimized for sensitivity to the neutrino mass hierarchy is presented. Confidence intervals for Δm322, sin2θ23, sin2θ13 and δCP are presented for normal neutrino mass hierarchy and inverted neutrino mass hierarchy hypotheses, based on atmospheric neutrino data alone. Additional constraints from reactor data on θ13 and from published binned T2K data on muon neutrino disappearance and electron neutrino appearance are added to the atmospheric neutrino fit to give enhanced constraints on the above parameters. Over the range of parameters allowed at 90% confidence level, the normal mass hierarchy is favored by between 91.9% and 94.5% based on the combined Super-Kamiokande plus T2K result.


Published in: Phys. Rev. D 97 (2018)
Published by: APS
DOI: 10.1103/PhysRevD.97.072001
arXiv: 1710.09126
License: CC-BY-4.0



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