Measurements of neutrino oscillation parameters from the T2K experiment using $$3.6\times 10^{21}$$ 3.6 × 10 21 protons on target

K. Abe (Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan) ; N. Akhlaq (School of Physics and Astronomy, Queen Mary University of London, London, UK) ; R. Akutsu (High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan) ; A. Ali (TRIUMF, Vancouver, BC, Canada; Department of Physics, University of Winnipeg, Winnipeg, MB, Canada) ; S. Alonso Monsalve (Institute for Particle Physics and Astrophysics, ETH Zurich, Zurich, Switzerland) ; et al. - Show all 400 authors

The T2K experiment presents new measurements of neutrino oscillation parameters using $$19.7(16.3)\times 10^{20}$$ 19.7 ( 16.3 ) × 10 20 protons on target (POT) in (anti-)neutrino mode at the far detector (FD). Compared to the previous analysis, an additional $$4.7\times 10^{20}$$ 4.7 × 10 20 POT neutrino data was collected at the FD. Significant improvements were made to the analysis methodology, with the near-detector analysis introducing new selections and using more than double the data. Additionally, this is the first T2K oscillation analysis to use NA61/SHINE data on a replica of the T2K target to tune the neutrino flux model, and the neutrino interaction model was improved to include new nuclear effects and calculations. Frequentist and Bayesian analyses are presented, including results on $$\sin ^2\theta _{13}$$ sin 2 θ 13 and the impact of priors on the $$\delta _{\textrm{CP}}$$ δ CP measurement. Both analyses prefer the normal mass ordering and upper octant of $$\sin ^2\theta _{23}$$ sin 2 θ 23 with a nearly maximally CP-violating phase. Assuming the normal ordering and using the constraint on $$\sin ^2\theta _{13}$$ sin 2 θ 13 from reactors, $$\sin ^2\theta _{23}=0.561^{+0.021}_{-0.032}$$ sin 2 θ 23 = 0 . 561 - 0.032 + 0.021 using Feldman–Cousins corrected intervals, and $$\varDelta {}m^2_{32}=2.494_{-0.058}^{+0.041}\times 10^{-3}~\text {eV}^2$$ Δ m 32 2 = 2 . 494 - 0.058 + 0.041 × 10 - 3 eV 2 using constant $$\varDelta \chi ^{2}$$ Δ χ 2 intervals. The CP-violating phase is constrained to $$\delta _{\textrm{CP}}=-1.97_{-0.70}^{+0.97}$$ δ CP = - 1 . 97 - 0.70 + 0.97 using Feldman–Cousins corrected intervals, and $$\delta _{\textrm{CP}}=0,\pi $$ δ CP = 0 , π is excluded at more than 90% confidence level. A Jarlskog invariant of zero is excluded at more than $$2\sigma $$ 2 σ credible level using a flat prior in $$\delta _{\textrm{CP}},$$ δ CP , and just below $$2\sigma $$ 2 σ using a flat prior in $$\sin \delta _{\textrm{CP}}.$$ sin δ CP . When the external constraint on $$\sin ^2\theta _{13}$$ sin 2 θ 13 is removed, $$\sin ^2\theta _{13}=28.0^{+2.8}_{-6.5}\times 10^{-3},$$ sin 2 θ 13 = 28 . 0 - 6.5 + 2.8 × 10 - 3 , in agreement with measurements from reactor experiments. These results are consistent with previous T2K analyses.

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      "given_names": "C.", 
      "full_name": "Delogu, C."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Rutherford Appleton Laboratory, STFC, Harwell, Oxford, UK", 
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        {
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          "value": "Department of Physics, University of Tokyo, Tokyo, Japan", 
          "organization": "University of Tokyo"
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    {
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        {
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          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
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      "given_names": "A.", 
      "full_name": "Dergacheva, A."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, King\u2019s College London, Strand, London, WC2R 2LS, UK", 
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      ], 
      "surname": "Lodovico", 
      "given_names": "F.", 
      "full_name": "Lodovico, F."
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    {
      "affiliations": [
        {
          "country": "CERN", 
          "value": "CERN European Organization for Nuclear Research, Geneva 23, 1211, Switzerland", 
          "organization": "CERN European Organization for Nuclear Research"
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      ], 
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      "full_name": "Dolan, S."
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    {
      "affiliations": [
        {
          "country": "Switzerland", 
          "value": "Section de Physique, DPNC, University of Geneva, Geneva, Switzerland", 
          "organization": "University of Geneva"
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      "surname": "Douqa", 
      "given_names": "D.", 
      "full_name": "Douqa, D."
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    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY, USA", 
          "organization": "State University of New York at Stony Brook"
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      "surname": "Doyle", 
      "given_names": "T.", 
      "full_name": "Doyle, T."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France", 
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      ], 
      "surname": "Drapier", 
      "given_names": "O.", 
      "full_name": "Drapier, O."
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    {
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        {
          "country": "France", 
          "value": "Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3, Paris, France", 
          "organization": "Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3"
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      "given_names": "J.", 
      "full_name": "Dumarchez, J."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, Imperial College London, London, UK", 
          "organization": "Imperial College London"
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      "full_name": "Dunne, P."
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    {
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        {
          "country": "Poland", 
          "value": "Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Poland", 
          "organization": "Warsaw University of Technology"
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      ], 
      "surname": "Dygnarowicz", 
      "given_names": "K.", 
      "full_name": "Dygnarowicz, K."
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    {
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        {
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          "value": "Department of Physics, University of Tokyo, Tokyo, Japan", 
          "organization": "University of Tokyo"
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      "surname": "Eguchi", 
      "given_names": "A.", 
      "full_name": "Eguchi, A."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
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        {
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          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
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      "given_names": "G.", 
      "full_name": "Erofeev, G."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
          "organization": "IRFU, CEA, Universit\u00e9 Paris-Saclay"
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      ], 
      "surname": "Ershova", 
      "given_names": "A.", 
      "full_name": "Ershova, A."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
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    {
      "affiliations": [
        {
          "country": "Russia", 
          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
          "organization": "Institute for Nuclear Research of the Russian Academy of Sciences"
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      "surname": "Fedorova", 
      "given_names": "D.", 
      "full_name": "Fedorova, D."
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    {
      "affiliations": [
        {
          "country": "Russia", 
          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
          "organization": "Institute for Nuclear Research of the Russian Academy of Sciences"
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      "surname": "Fedotov", 
      "given_names": "S.", 
      "full_name": "Fedotov, S."
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    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
          "organization": "INFN Sezione di Padova and Universit\u00e0 di Padova"
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      ], 
      "surname": "Feltre", 
      "given_names": "M.", 
      "full_name": "Feltre, M."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Physics Department, Lancaster University, Lancaster, UK", 
          "organization": "Lancaster University"
        }
      ], 
      "surname": "Finch", 
      "given_names": "A.", 
      "full_name": "Finch, A."
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    {
      "affiliations": [
        {
          "country": "Canada", 
          "value": "Department of Physics and Astronomy, York University, Toronto, ON, Canada", 
          "organization": "York University"
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      ], 
      "surname": "Fiorentini Aguirre", 
      "given_names": "G.", 
      "full_name": "Fiorentini Aguirre, G."
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    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, INFN Sezione di Napoli and Universit\u00e0 di Napoli, Naples, Italy", 
          "organization": "INFN Sezione di Napoli and Universit\u00e0 di Napoli"
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      ], 
      "surname": "Fiorillo", 
      "given_names": "G.", 
      "full_name": "Fiorillo, G."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Rutherford Appleton Laboratory, STFC, Harwell, Oxford, UK", 
          "organization": "STFC"
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      ], 
      "surname": "Fitton", 
      "given_names": "M.", 
      "full_name": "Fitton, M."
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    {
      "affiliations": [
        {
          "country": "Spain", 
          "value": "Departamento de F\u00edsica At\u00f3mica, Molecular y Nuclear, Universidad de Sevilla, Sevilla, 41080, Spain", 
          "organization": "Universidad de Sevilla"
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      ], 
      "surname": "Franco Pati\u00f1o", 
      "given_names": "J.", 
      "full_name": "Franco Pati\u00f1o, J."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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        {
          "country": "Japan", 
          "value": "J-PARC, Tokai, Japan", 
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      ], 
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      "given_names": "M.", 
      "full_name": "Friend, M."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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        {
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          "value": "J-PARC, Tokai, Japan", 
          "organization": "J-PARC"
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      "surname": "Fujii", 
      "given_names": "Y.", 
      "full_name": "Fujii, Y."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Miyagi University of Education, Sendai, Japan", 
          "organization": "Miyagi University of Education"
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      "surname": "Fukuda", 
      "given_names": "Y.", 
      "full_name": "Fukuda, Y."
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    {
      "affiliations": [
        {
          "country": "Switzerland", 
          "value": "Institute for Particle Physics and Astrophysics, ETH Zurich, Zurich, Switzerland", 
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      "surname": "Fusshoeller", 
      "given_names": "K.", 
      "full_name": "Fusshoeller, K."
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    {
      "affiliations": [
        {
          "country": "Switzerland", 
          "value": "Section de Physique, DPNC, University of Geneva, Geneva, Switzerland", 
          "organization": "University of Geneva"
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      "surname": "Giannessi", 
      "given_names": "L.", 
      "full_name": "Giannessi, L."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3, Paris, France", 
          "organization": "Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3"
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      "surname": "Giganti", 
      "given_names": "C.", 
      "full_name": "Giganti, C."
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    {
      "affiliations": [
        {
          "country": "JINR", 
          "value": "Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia", 
          "organization": "Joint Institute for Nuclear Research"
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      "surname": "Glagolev", 
      "given_names": "V.", 
      "full_name": "Glagolev, V."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "ILANCE, CNRS-University of Tokyo International Research Laboratory, Kashiwa, Chiba, 277-8582, Japan", 
          "organization": "ILANCE, CNRS-University of Tokyo International Research Laboratory"
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      ], 
      "surname": "Gonin", 
      "given_names": "M.", 
      "full_name": "Gonin, M."
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    {
      "affiliations": [
        {
          "country": "Spain", 
          "value": "Departamento de F\u00edsica At\u00f3mica, Molecular y Nuclear, Universidad de Sevilla, Sevilla, 41080, Spain", 
          "organization": "Universidad de Sevilla"
        }
      ], 
      "surname": "Gonz\u00e1lez Rosa", 
      "given_names": "J.", 
      "full_name": "Gonz\u00e1lez Rosa, J."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "School of Physics and Astronomy, University of Glasgow, Glasgow, UK", 
          "organization": "University of Glasgow"
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      ], 
      "surname": "Goodman", 
      "given_names": "E.", 
      "full_name": "Goodman, E."
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    {
      "affiliations": [
        {
          "country": "Russia", 
          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
          "organization": "Institute for Nuclear Research of the Russian Academy of Sciences"
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      "surname": "Gorin", 
      "given_names": "A.", 
      "full_name": "Gorin, A."
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    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
          "organization": "INFN Sezione di Padova and Universit\u00e0 di Padova"
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      ], 
      "surname": "Grassi", 
      "given_names": "M.", 
      "full_name": "Grassi, M."
    }, 
    {
      "affiliations": [
        {
          "country": "France", 
          "value": "Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3, Paris, France", 
          "organization": "Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3"
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      "surname": "Guigue", 
      "given_names": "M.", 
      "full_name": "Guigue, M."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, University of Warwick, Coventry, UK", 
          "organization": "University of Warwick"
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      ], 
      "surname": "Hadley", 
      "given_names": "D.", 
      "full_name": "Hadley, D."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, University of Warwick, Coventry, UK", 
          "organization": "University of Warwick"
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      ], 
      "surname": "Haigh", 
      "given_names": "J.", 
      "full_name": "Haigh, J."
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    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "III. Physikalisches Institut, RWTH Aachen University, Aachen, Germany", 
          "organization": "RWTH Aachen University"
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      ], 
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      "given_names": "P.", 
      "full_name": "Hamacher-Baumann, P."
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    {
      "affiliations": [
        {
          "country": "Canada", 
          "value": "Department of Physics and Astronomy, York University, Toronto, ON, Canada", 
          "organization": "York University"
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      ], 
      "surname": "Harris", 
      "given_names": "D.", 
      "full_name": "Harris, D."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
          "organization": "The University of Tokyo Institutes for Advanced Study, University of Tokyo"
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        {
          "country": "Canada", 
          "value": "TRIUMF, Vancouver, BC, Canada", 
          "organization": "TRIUMF"
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      "surname": "Hartz", 
      "given_names": "M.", 
      "full_name": "Hartz, M."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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        {
          "country": "Japan", 
          "value": "J-PARC, Tokai, Japan", 
          "organization": "J-PARC"
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      ], 
      "surname": "Hasegawa", 
      "given_names": "T.", 
      "full_name": "Hasegawa, T."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
          "organization": "IRFU, CEA, Universit\u00e9 Paris-Saclay"
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      ], 
      "surname": "Hassani", 
      "given_names": "S.", 
      "full_name": "Hassani, S."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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      ], 
      "surname": "Hastings", 
      "given_names": "N.", 
      "full_name": "Hastings, N."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
          "organization": "The University of Tokyo Institutes for Advanced Study, University of Tokyo"
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        {
          "country": "Japan", 
          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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      "surname": "Hayato", 
      "given_names": "Y.", 
      "full_name": "Hayato, Y."
    }, 
    {
      "affiliations": [
        {
          "country": "France", 
          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
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      ], 
      "surname": "Henaff", 
      "given_names": "D.", 
      "full_name": "Henaff, D."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Kyoto University, Kyoto, Japan", 
          "organization": "Kyoto University"
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      ], 
      "surname": "Hiramoto", 
      "given_names": "A.", 
      "full_name": "Hiramoto, A."
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    {
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, Colorado State University, Fort Collins, Colorado, USA", 
          "organization": "Colorado State University"
        }
      ], 
      "surname": "Hogan", 
      "given_names": "M.", 
      "full_name": "Hogan, M."
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    {
      "affiliations": [
        {
          "country": "Poland", 
          "value": "Institute of Physics, University of Silesia, Katowice, Poland", 
          "organization": "University of Silesia"
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      ], 
      "surname": "Holeczek", 
      "given_names": "J.", 
      "full_name": "Holeczek, J."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Rutherford Appleton Laboratory, STFC, Harwell, Oxford, UK", 
          "organization": "STFC"
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      ], 
      "surname": "Holin", 
      "given_names": "A.", 
      "full_name": "Holin, A."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, Oxford University, Oxford, UK", 
          "organization": "Oxford University"
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      ], 
      "surname": "Holvey", 
      "given_names": "T.", 
      "full_name": "Holvey, T."
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    {
      "affiliations": [
        {
          "country": "Vietnam", 
          "value": "International Centre of Physics, Institute of Physics (IOP), Vietnam Academy of Science and Technology (VAST), 10 Dao Tan, Ba Dinh, Hanoi, Vietnam", 
          "organization": "Vietnam Academy of Science and Technology (VAST)"
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      ], 
      "surname": "Hong Van", 
      "given_names": "N.", 
      "full_name": "Hong Van, N."
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    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Osaka Metropolitan University, Osaka, Japan", 
          "organization": "Osaka Metropolitan University"
        }
      ], 
      "surname": "Honjo", 
      "given_names": "T.", 
      "full_name": "Honjo, T."
    }, 
    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
          "organization": "INFN Sezione di Padova and Universit\u00e0 di Padova"
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      ], 
      "surname": "Iacob", 
      "given_names": "F.", 
      "full_name": "Iacob, F."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Faculty of Science, Tohoku University, Sendai, Miyagi, Japan", 
          "organization": "Tohoku University"
        }
      ], 
      "surname": "Ichikawa", 
      "given_names": "A.", 
      "full_name": "Ichikawa, A."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
          "organization": "University of Tokyo"
        }
      ], 
      "surname": "Ikeda", 
      "given_names": "M.", 
      "full_name": "Ikeda, M."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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        {
          "country": "Japan", 
          "value": "J-PARC, Tokai, Japan", 
          "organization": "J-PARC"
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      ], 
      "surname": "Ishida", 
      "given_names": "T.", 
      "full_name": "Ishida, T."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, Japan", 
          "organization": "Tokyo University of Science"
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      ], 
      "surname": "Ishitsuka", 
      "given_names": "M.", 
      "full_name": "Ishitsuka, M."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics and Astronomy, University of Sheffield, Sheffield, UK", 
          "organization": "University of Sheffield"
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      ], 
      "surname": "Israel", 
      "given_names": "H.", 
      "full_name": "Israel, H."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, University of Tokyo, Tokyo, Japan", 
          "organization": "University of Tokyo"
        }
      ], 
      "surname": "Iwamoto", 
      "given_names": "K.", 
      "full_name": "Iwamoto, K."
    }, 
    {
      "affiliations": [
        {
          "country": "Russia", 
          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
          "organization": "Institute for Nuclear Research of the Russian Academy of Sciences"
        }
      ], 
      "surname": "Izmaylov", 
      "given_names": "A.", 
      "full_name": "Izmaylov, A."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, Japan", 
          "organization": "Tokyo University of Science"
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      ], 
      "surname": "Izumi", 
      "given_names": "N.", 
      "full_name": "Izumi, N."
    }, 
    {
      "affiliations": [
        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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      ], 
      "surname": "Jakkapu", 
      "given_names": "M.", 
      "full_name": "Jakkapu, M."
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    {
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        {
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          "value": "Department of Physics, University of Winnipeg, Winnipeg, MB, Canada", 
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        {
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        {
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        {
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    {
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        {
          "country": "Italy", 
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    {
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        {
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        {
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        {
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, King\u2019s College London, Strand, London, WC2R 2LS, UK", 
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      ], 
      "surname": "Lopez Moreno", 
      "given_names": "A.", 
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          "value": "INFN Sezione di Roma and Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Rome, Italy", 
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        {
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          "value": "Department of Physics, University of Warwick, Coventry, UK", 
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          "value": "Dipartimento Interuniversitario di Fisica, INFN Sezione di Bari and Universit\u00e0 e Politecnico di Bari, Bari, Italy", 
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          "value": "Department of Physics and Astronomy, Michigan State University, East Lansing, MI, USA", 
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          "value": "Department of Physics and Astronomy, University of Sheffield, Sheffield, UK", 
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          "value": "Department of Physics, Yokohama National University, Yokohama, Japan", 
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          "value": "Department of Physics, University of Toronto, Toronto, ON, Canada", 
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          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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    {
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        {
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          "value": "IRFU, CEA, Universit\u00e9 Paris-Saclay, Gif-sur-Yvette, 91191, France", 
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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      "full_name": "McCauley, N."
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          "value": "Department of Physics and Astronomy, University of Sheffield, Sheffield, UK", 
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        {
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          "value": "Department of Physics and Astronomy, University of Rochester, Rochester, NY, USA", 
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    {
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        {
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          "value": "Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY, USA", 
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      "given_names": "C.", 
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        {
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          "value": "Department of Physics, Imperial College London, London, UK", 
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    {
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        {
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          "value": "Departamento de F\u00edsica At\u00f3mica, Molecular y Nuclear, Universidad de Sevilla, Sevilla, 41080, Spain", 
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    {
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        {
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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      "full_name": "Mehta, P."
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    {
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        {
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          "value": "Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3, Paris, France", 
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      "full_name": "Mellet, L."
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    {
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        {
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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      "surname": "Metelko", 
      "given_names": "C.", 
      "full_name": "Metelko, C."
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    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
          "organization": "INFN Sezione di Padova and Universit\u00e0 di Padova"
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      ], 
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      "given_names": "M.", 
      "full_name": "Mezzetto, M."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, King\u2019s College London, Strand, London, WC2R 2LS, UK", 
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      "given_names": "E.", 
      "full_name": "Miller, E."
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    {
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        {
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          "value": "Department of Physics, Yokohama National University, Yokohama, Japan", 
          "organization": "Yokohama National University"
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      "given_names": "A.", 
      "full_name": "Minamino, A."
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    {
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        {
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          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
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      "given_names": "O.", 
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    {
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        {
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          "value": "Department of Physics and Astronomy, University of California, Irvine, Irvine, CA, USA", 
          "organization": "University of California, Irvine"
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        {
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      "full_name": "Mine, S."
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    {
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          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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        {
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          "organization": "Kavli IPMU (WPI), The University of Tokyo"
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      "given_names": "M.", 
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    {
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        {
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          "value": "IFIC (CSIC and University of Valencia), Valencia, Spain", 
          "organization": "IFIC (CSIC and University of Valencia)"
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    {
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        {
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          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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    {
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        {
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          "value": "Department of Physics, Yokohama National University, Yokohama, Japan", 
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    {
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    {
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        {
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          "value": "Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France", 
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    {
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          "value": "Department of Physics, University of Houston, Houston, TX, USA", 
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      "given_names": "D.", 
      "full_name": "Munford, D."
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    {
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          "value": "CERN European Organization for Nuclear Research, Geneva 23, 1211, Switzerland", 
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      "given_names": "L.", 
      "full_name": "Munteanu, L."
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    {
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        {
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          "value": "Department of Physics, Yokohama National University, Yokohama, Japan", 
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      "given_names": "K.", 
      "full_name": "Nagai, K."
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    {
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        {
          "country": "Hungary", 
          "value": "Department of Atomic Physics, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary", 
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    {
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          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
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    {
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        {
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          "value": "Department of Physics, University of Tokyo, Tokyo, Japan", 
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    {
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        {
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          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
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        {
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    {
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          "value": "Department of Physics, University of Tokyo, Tokyo, Japan", 
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      "full_name": "Nakajima, Y."
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    {
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        {
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          "value": "Department of Physics, Okayama University, Okayama, Japan", 
          "organization": "Okayama University"
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      "surname": "Nakamura", 
      "given_names": "A.", 
      "full_name": "Nakamura, A."
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    {
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        {
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          "value": "Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, Japan", 
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    {
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        {
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          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
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        {
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    {
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        {
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          "value": "Department of Physics, Faculty of Science, Tohoku University, Sendai, Miyagi, Japan", 
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      "full_name": "Nakamura, K."
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    {
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        {
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          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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    {
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        {
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          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
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        {
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          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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      "full_name": "Nakayama, S."
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    {
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        {
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          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
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        {
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          "value": "Department of Physics, Kyoto University, Kyoto, Japan", 
          "organization": "Kyoto University"
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      ], 
      "surname": "Nakaya", 
      "given_names": "T.", 
      "full_name": "Nakaya, T."
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    {
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        {
          "country": "Japan", 
          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
          "organization": "High Energy Accelerator Research Organization (KEK)"
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        {
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          "value": "J-PARC, Tokai, Japan", 
          "organization": "J-PARC"
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      "given_names": "K.", 
      "full_name": "Nakayoshi, K."
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    {
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        {
          "country": "UK", 
          "value": "Department of Physics, Imperial College London, London, UK", 
          "organization": "Imperial College London"
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      "surname": "Naseby", 
      "given_names": "C.", 
      "full_name": "Naseby, C."
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    {
      "affiliations": [
        {
          "country": "Vietnam", 
          "value": "Institute For Interdisciplinary Research in Science and Education (IFIRSE), ICISE, Quy Nhon, Vietnam", 
          "organization": "Institute For Interdisciplinary Research in Science and Education (IFIRSE), ICISE"
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        {
          "country": "Vietnam", 
          "value": "The Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Ho Chi Minh City, Vietnam", 
          "organization": "The Graduate University of Science and Technology, Vietnam Academy of Science and Technology"
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      "surname": "Ngoc", 
      "given_names": "T.", 
      "full_name": "Ngoc, T."
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    {
      "affiliations": [
        {
          "country": "France", 
          "value": "Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France", 
          "organization": "Ecole Polytechnique, IN2P3-CNRS"
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      ], 
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        {
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          "value": "Rutherford Appleton Laboratory, STFC, Harwell, Oxford, UK", 
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          "value": "IFIC (CSIC and University of Valencia), Valencia, Spain", 
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        {
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          "value": "Department of Physics, Faculty of Science, Tohoku University, Sendai, Miyagi, Japan", 
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      "full_name": "Nugent, J."
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    {
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        {
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          "value": "Physics Department, Lancaster University, Lancaster, UK", 
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          "value": "Institut f\u00fcr Physik, Johannes Gutenberg-Universit\u00e4t Mainz, Staudingerweg 7, Mainz, 55128, Germany", 
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        {
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          "value": "Department of Physics, Okayama University, Okayama, Japan", 
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      "full_name": "Okada, R."
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        {
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    {
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        {
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          "value": "Dipartimento di Fisica, INFN Sezione di Napoli and Universit\u00e0 di Napoli, Naples, Italy", 
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        {
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          "value": "Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA, USA", 
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        {
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          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
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      "given_names": "M.", 
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    {
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        {
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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        {
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          "value": "Section de Physique, DPNC, University of Geneva, Geneva, Switzerland", 
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        {
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          "value": "Department of Physics, Imperial College London, London, UK", 
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        {
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          "value": "TRIUMF, Vancouver, BC, Canada", 
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        {
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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        {
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          "value": "Department of Physics, University of Liverpool, Liverpool, UK", 
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        {
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          "value": "Department of Physics, Duke University, Durham, NC, USA", 
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    {
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        {
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      "given_names": "L.", 
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        {
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        {
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          "value": "Laboratory for High Energy Physics (LHEP), Albert Einstein Center for Fundamental Physics, University of Bern, Bern, Switzerland", 
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    {
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        {
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          "value": "Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, Universit\u00e9 Paris Diderot, CNRS/IN2P3, Paris, France", 
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        {
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          "value": "Institute of Physics, University of Silesia, Katowice, Poland", 
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        {
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          "value": "Faculty of Physics, University of Warsaw, Warsaw, Poland", 
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        {
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          "value": "National Centre for Nuclear Research, Warsaw, Poland", 
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        {
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          "value": "Dipartimento di Fisica, INFN Sezione di Padova and Universit\u00e0 di Padova, Padua, Italy", 
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    {
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        {
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          "value": "Laboratoire Leprince-Ringuet, Ecole Polytechnique, IN2P3-CNRS, Palaiseau, France", 
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        {
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          "value": "III. Physikalisches Institut, RWTH Aachen University, Aachen, Germany", 
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        {
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          "value": "Dipartimento Interuniversitario di Fisica, INFN Sezione di Bari and Universit\u00e0 e Politecnico di Bari, Bari, Italy", 
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          "value": "Department of Physics and Astronomy, York University, Toronto, ON, Canada", 
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          "value": "Physics Department, Lancaster University, Lancaster, UK", 
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        {
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        {
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          "value": "Department of Physics and Astronomy, York University, Toronto, ON, Canada", 
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          "value": "Institute for Particle Physics and Astrophysics, ETH Zurich, Zurich, Switzerland", 
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          "value": "Dipartimento di Fisica, INFN Sezione di Napoli and Universit\u00e0 di Napoli, Naples, Italy", 
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        {
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          "value": "Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Warsaw, Poland", 
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    {
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        {
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          "value": "Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba, Japan", 
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      "given_names": "M.", 
      "full_name": "Shiozawa, M."
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    {
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        {
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          "value": "Department of Physics, Imperial College London, London, UK", 
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    {
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        {
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      "given_names": "A.", 
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    {
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        {
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          "value": "Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia", 
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      "given_names": "N.", 
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    {
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        {
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          "value": "National Centre for Nuclear Research, Warsaw, Poland", 
          "organization": "National Centre for Nuclear Research"
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    {
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        {
          "country": "Germany", 
          "value": "III. Physikalisches Institut, RWTH Aachen University, Aachen, Germany", 
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    {
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        {
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          "value": "Department of Physics and Astronomy, University of California, Irvine, Irvine, CA, USA", 
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    {
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        {
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          "value": "Faculty of Physics and Astronomy, Wroclaw University, Wroc\u0142aw, Poland", 
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    {
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        {
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      "given_names": "H.", 
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    {
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        {
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          "value": "School of Physics and Astronomy, University of Glasgow, Glasgow, UK", 
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    {
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        {
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          "value": "Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Japan", 
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      "full_name": "Sonoda, Y."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Physics Department, Lancaster University, Lancaster, UK", 
          "organization": "Lancaster University"
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      ], 
      "surname": "Speers", 
      "given_names": "A.", 
      "full_name": "Speers, A."
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    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento Interuniversitario di Fisica, INFN Sezione di Bari and Universit\u00e0 e Politecnico di Bari, Bari, Italy", 
          "organization": "INFN Sezione di Bari and Universit\u00e0 e Politecnico di Bari"
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      "given_names": "R.", 
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    {
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        {
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          "value": "Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia", 
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        {
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    {
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        {
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          "value": "Kobe University, Kobe, Japan", 
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    {
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        {
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        {
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    {
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        {
          "country": "UK", 
          "value": "Department of Physics, Imperial College London, London, UK", 
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      "given_names": "A.", 
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    {
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        {
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          "value": "High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan", 
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    {
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        {
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        {
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        {
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        {
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        {
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        {
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          "value": "Department of Physics, Kyoto University, Kyoto, Japan", 
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        {
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        {
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        {
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        {
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          "value": "Department of Physics, Boston University, Boston, MA, USA", 
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        {
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        {
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      "given_names": "M.", 
      "full_name": "Wascko, M."
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    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Physik, Johannes Gutenberg-Universit\u00e4t Mainz, Staudingerweg 7, Mainz, 55128, Germany", 
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      "given_names": "A.", 
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        {
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        {
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    {
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        {
          "country": "USA", 
          "value": "Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA", 
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      "given_names": "C.", 
      "full_name": "Wilkinson, C."
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    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Physics, King\u2019s College London, Strand, London, WC2R 2LS, UK", 
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      ], 
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      "given_names": "J.", 
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    {
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        {
          "country": "USA", 
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        {
          "country": "UK", 
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  "titles": [
    {
      "source": "Springer", 
      "title": "Measurements of neutrino oscillation parameters from the T2K experiment using  $$3.6\\times 10^{21}$$  <math> <mrow> <mn>3.6</mn> <mo>\u00d7</mo> <msup> <mn>10</mn> <mn>21</mn> </msup> </mrow> </math>   protons on target"
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      "year": 2023, 
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      "journal_issue": "9"
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      "year": "2023"
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  "control_number": "80045", 
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      "value": "T2K\u00a0Collaboration"
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        "hep-ex"
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      "value": "2303.03222v2"
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  "abstracts": [
    {
      "source": "Springer", 
      "value": "The T2K experiment presents new measurements of neutrino oscillation parameters using  $$19.7(16.3)\\times 10^{20}$$  <math> <mrow> <mn>19.7</mn> <mrow> <mo>(</mo> <mn>16.3</mn> <mo>)</mo> </mrow> <mo>\u00d7</mo> <msup> <mn>10</mn> <mn>20</mn> </msup> </mrow> </math>   protons on target (POT) in (anti-)neutrino mode at the far detector (FD). Compared to the previous analysis, an additional  $$4.7\\times 10^{20}$$  <math> <mrow> <mn>4.7</mn> <mo>\u00d7</mo> <msup> <mn>10</mn> <mn>20</mn> </msup> </mrow> </math>   POT neutrino data was collected at the FD. Significant improvements were made to the analysis methodology, with the near-detector analysis introducing new selections and using more than double the data. Additionally, this is the first T2K oscillation analysis to use NA61/SHINE data on a replica of the T2K target to tune the neutrino flux model, and the neutrino interaction model was improved to include new nuclear effects and calculations. Frequentist and Bayesian analyses are presented, including results on  $$\\sin ^2\\theta _{13}$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>13</mn> </msub> </mrow> </math>   and the impact of priors on the  $$\\delta _{\\textrm{CP}}$$  <math> <msub> <mi>\u03b4</mi> <mtext>CP</mtext> </msub> </math>   measurement. Both analyses prefer the normal mass ordering and upper octant of  $$\\sin ^2\\theta _{23}$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>23</mn> </msub> </mrow> </math>   with a nearly maximally CP-violating phase. Assuming the normal ordering and using the constraint on  $$\\sin ^2\\theta _{13}$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>13</mn> </msub> </mrow> </math>   from reactors,  $$\\sin ^2\\theta _{23}=0.561^{+0.021}_{-0.032}$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>23</mn> </msub> <mo>=</mo> <mn>0</mn> <mo>.</mo> <msubsup> <mn>561</mn> <mrow> <mo>-</mo> <mn>0.032</mn> </mrow> <mrow> <mo>+</mo> <mn>0.021</mn> </mrow> </msubsup> </mrow> </math>   using Feldman\u2013Cousins corrected intervals, and  $$\\varDelta {}m^2_{32}=2.494_{-0.058}^{+0.041}\\times 10^{-3}~\\text {eV}^2$$  <math> <mrow> <mi>\u0394</mi> <mrow></mrow> <msubsup> <mi>m</mi> <mn>32</mn> <mn>2</mn> </msubsup> <mo>=</mo> <mn>2</mn> <mo>.</mo> <msubsup> <mn>494</mn> <mrow> <mo>-</mo> <mn>0.058</mn> </mrow> <mrow> <mo>+</mo> <mn>0.041</mn> </mrow> </msubsup> <mo>\u00d7</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> <mspace width=\"3.33333pt\"></mspace> <msup> <mtext>eV</mtext> <mn>2</mn> </msup> </mrow> </math>   using constant  $$\\varDelta \\chi ^{2}$$  <math> <mrow> <mi>\u0394</mi> <msup> <mi>\u03c7</mi> <mn>2</mn> </msup> </mrow> </math>   intervals. The CP-violating phase is constrained to  $$\\delta _{\\textrm{CP}}=-1.97_{-0.70}^{+0.97}$$  <math> <mrow> <msub> <mi>\u03b4</mi> <mtext>CP</mtext> </msub> <mo>=</mo> <mo>-</mo> <mn>1</mn> <mo>.</mo> <msubsup> <mn>97</mn> <mrow> <mo>-</mo> <mn>0.70</mn> </mrow> <mrow> <mo>+</mo> <mn>0.97</mn> </mrow> </msubsup> </mrow> </math>   using Feldman\u2013Cousins corrected intervals, and  $$\\delta _{\\textrm{CP}}=0,\\pi $$  <math> <mrow> <msub> <mi>\u03b4</mi> <mtext>CP</mtext> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mi>\u03c0</mi> </mrow> </math>   is excluded at more than 90% confidence level. A Jarlskog invariant of zero is excluded at more than  $$2\\sigma $$  <math> <mrow> <mn>2</mn> <mi>\u03c3</mi> </mrow> </math>   credible level using a flat prior in  $$\\delta _{\\textrm{CP}},$$  <math> <mrow> <msub> <mi>\u03b4</mi> <mtext>CP</mtext> </msub> <mo>,</mo> </mrow> </math>   and just below  $$2\\sigma $$  <math> <mrow> <mn>2</mn> <mi>\u03c3</mi> </mrow> </math>   using a flat prior in  $$\\sin \\delta _{\\textrm{CP}}.$$  <math> <mrow> <mo>sin</mo> <msub> <mi>\u03b4</mi> <mtext>CP</mtext> </msub> <mo>.</mo> </mrow> </math>   When the external constraint on  $$\\sin ^2\\theta _{13}$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>13</mn> </msub> </mrow> </math>   is removed,  $$\\sin ^2\\theta _{13}=28.0^{+2.8}_{-6.5}\\times 10^{-3},$$  <math> <mrow> <msup> <mo>sin</mo> <mn>2</mn> </msup> <msub> <mi>\u03b8</mi> <mn>13</mn> </msub> <mo>=</mo> <mn>28</mn> <mo>.</mo> <msubsup> <mn>0</mn> <mrow> <mo>-</mo> <mn>6.5</mn> </mrow> <mrow> <mo>+</mo> <mn>2.8</mn> </mrow> </msubsup> <mo>\u00d7</mo> <msup> <mn>10</mn> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </msup> <mo>,</mo> </mrow> </math>   in agreement with measurements from reactor experiments. These results are consistent with previous T2K analyses."
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}
Published on:
05 September 2023
Publisher:
Springer
Published in:
European Physical Journal C , Volume 83 (2023)
Issue 9
Pages 1-50
DOI:
https://doi.org/10.1140/epjc/s10052-023-11819-x
arXiv:
2303.03222v2
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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