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Testing T2K’s Bayesian constraints with priors in alternate parameterisations

Abe, A. [University of Tokyo]·Abe, S. [University of Tokyo] (ORCID:0000000221105130)·Akutsu, R. [High Energy Accelerator Research Organization (KEK)]·Alarakia-Charles, H. [Lancaster University]·Hakim, Y. I. Alj [University of Sheffield] (ORCID:0000000290651303)·Monsalve, S. Alonso [ETH Zurich, Institute for Particle Physics and Astrophysics] (ORCID:0000000296787121)·Anthony, L. [Imperial College London, Department of Physics]·Aoki, S. [Kobe University]·Apte, K. A. [Imperial College London, Department of Physics]·Arai, T. [University of Tokyo]·Arihara, T. [Tokyo Metropolitan University]·Arimoto, S. [Kyoto University]·Ashida, Y. [Tohoku University]·Atkin, E. T. [Imperial College London, Department of Physics]·Babu, N. [Louisiana State University] (ORCID:000900071197167X)·Baranov, V. [Joint Institute for Nuclear Research]·Barker, G. J. [University of Warwick] (ORCID:0000000308850782)·Barr, G. [Oxford University] (ORCID:0000000297631882)·Barrow, D. [Oxford University] (ORCID:000000015844709X)·Bates, P. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3]·Bathe-Peters, L. [Oxford University]·Batkiewicz-Kwasniak, M. [H. Niewodniczanski Institute of Nuclear Physics PAN]·Baudis, N. [Oxford University] (ORCID:0000000263048226)·Berardi, V. [INFN Sezione di Bari and Università e Politecnico di Bari] (ORCID:0000000283874568)·Berns, L. [Tohoku University] (ORCID:0000000339145496)·Bhattacharjee, S. [Louisiana State University]·Blanchet, A. [CERN European Organization for Nuclear Research] (ORCID:0000000249920161)·Blondel, A. [University of Geneva, Section de Physique, DPNC; Sorbonne Université, Université Paris Diderot, CNRS/IN2P3]·Boistier, P. M. M. [IRFU, CEA, Université Paris-Saclay] (ORCID:000900036806473X)·Bolognesi, S. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000258164708)·Bordoni, S. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000256750631)·Boyd, S. B. [University of Warwick]·Bronner, C. [Yokohama National University] (ORCID:0000000195556033)·Bubak, A. [University of Silesia] (ORCID:0000000176431534)·Avanzini, M. Buizza [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000314277572)·Caballero, J. A. [University of Silesia] (ORCID:0000000196910874)·Cadoux, F. [University of Geneva, Section de Physique, DPNC]·Calabria, N. F. [INFN Sezione di Bari and Università e Politecnico di Bari]·Cao, S. [Institute For Interdisciplinary Research in Science and Education (IFIRSE), ICISE] (ORCID:0000000290465324)·Cap, S. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000178593692)·Carabadjac, D. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet; Université Paris-Saclay] (ORCID:0009000648937961)·Cartwright, S. L. [University of Sheffield]·Casado, M. P. [Institut de Fisica d’Altes Energies (IFAE) - The Barcelona Institute of Science and Technology, Campus UAB; Departament de Fisica de la Universitat Autonoma de Barcelona] (ORCID:0000000203945646)·Catanesi, M. G. [INFN Sezione di Bari and Università e Politecnico di Bari]·Chakrani, J. [Lawrence Berkeley National Laboratory] (ORCID:0000000251751010)·Chalumeau, A. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3]·Cherdack, D. [University of Houston] (ORCID:000000023829728X)·Chong, P. S. [University of Pennsylvania]·Chvirova, A. [Institute for Nuclear Research of the Russian Academy of Sciences]·Coleman, J. [University of Liverpool]·Collazuol, G. [INFN Sezione di Padova and Universita di Padova] (ORCID:0000000278766124)·Cormier, F. [TRIUMF] (ORCID:0000000285626832)·Craplet, A. A. L. [Imperial College London, Department of Physics] (ORCID:0009000697722975)·Cudd, A. [University of Colorado at Boulder] (ORCID:0000000234897528)·D’ago, D. [INFN Sezione di Padova and Universita di Padova] (ORCID:0000000218376351)·Dalmazzone, C. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000169455845)·Daret, T. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000254298311)·Dasgupta, P. [Eötvös Loránd University]·Davis, C. [University of Pennsylvania] (ORCID:000900027610401X)·Davydov, Yu. I. [Joint Institute for Nuclear Research] (ORCID:0000000198332414)·de Perio, P. [The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa] (ORCID:0000000207414471)·De Rosa, G. [INFN Sezione di Napoli and Università di Napoli]·Dealtry, T. [Lancaster University] (ORCID:0000000322569444)·Densham, C. [STFC, Rutherford Appleton Laboratory, Harwell Oxford and Daresbury Laboratory]·Dergacheva, A. [Institute for Nuclear Research of the Russian Academy of Sciences] (ORCID:0000000256964234)·Banerjee, R. Dharmapal [Wroclaw University] (ORCID:0000000336397532)·Lodovico, F. Di [King’s College London, Strand] (ORCID:0000000339522175)·Lopez, G. Diaz [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3]·Dolan, S. [CERN European Organization for Nuclear Research]·Douqa, D. [University of Geneva, Section de Physique, DPNC]·Doyle, T. A. [State University of New York at Stony Brook, Stony Brook] (ORCID:0000000301960559)·Drapier, O. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000299208834)·Duffy, K. E. [Oxford University] (ORCID:0000000278725445)·Dumarchez, J. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000292434425)·Dunne, P. [Imperial College London, Department of Physics] (ORCID:0000000175431882)·Dygnarowicz, K. [Warsaw University of Technology]·Eguchi, A. [University of Tokyo]·Elias, J. [University of Rochester] (ORCID:0000000257629964)·Emery-Schrenk, S. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000330488265)·Erofeev, G. [Institute for Nuclear Research of the Russian Academy of Sciences]·Ershova, A. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000163352343)·Eurin, G. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000245113960)·Fedorova, D. [Institute for Nuclear Research of the Russian Academy of Sciences] (ORCID:0000000217714144)·Fedotov, S. [Institute for Nuclear Research of the Russian Academy of Sciences]·Feltre, M. [INFN Sezione di Padova and Universita di Padova]·Feng, L. [Kyoto University]·Ferlewicz, D. [University of Tokyo] (ORCID:0000000243741234)·Finch, A. J. [Lancaster University] (ORCID:0000000254336031)·Fitton, M. D. [STFC, Rutherford Appleton Laboratory, Harwell Oxford and Daresbury Laboratory]·Forza, C. [INFN Sezione di Padova and Universita di Padova] (ORCID:0009000892602354)·Friend, M. [High Energy Accelerator Research Organization (KEK); J-PARC]·Fujii, Y. [High Energy Accelerator Research Organization (KEK); J-PARC]·Fukuda, Y. [Miyagi University of Education] (ORCID:0000000326601958)·Furui, Y. [Tokyo Metropolitan University]·García-Marcos, J. [Ghent University] (ORCID:0009000327531864)·Germer, A. C. [University of Pennsylvania] (ORCID:0009000338809016)·Giannessi, L. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000168997116)·Giganti, C. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000295432345)·Girgus, M. [University of Warsaw]·Glagolev, V. [Joint Institute for Nuclear Research]
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Abstract

Bayesian analysis results require a choice of prior distribution. In long-baseline neutrino oscillation physics, the usual parameterisation of the mixing matrix induces a prior that privileges certain neutrino mass and flavour state symmetries. Here we study the effect of privileging alternate symmetries on the results of the T2K experiment. We find that constraints on the level of CP violation (as given by the Jarlskog invariant) are robust under the choices of prior considered in the analysis. On the other hand, the degree of octant preference for the atmospheric angle depends on which symmetry has been privileged.

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Bayesian InferenceFormal ReasoningNon-parametric InferenceParticle PhysicsReasoningTheoretical Particle Physics

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Abe, A. [University of Tokyo], Abe, S. [University of Tokyo] (ORCID:0000000221105130), Akutsu, R. [High Energy Accelerator Research Organization (KEK)], Alarakia-Charles, H. [Lancaster University], Hakim, Y. I. Alj [University of Sheffield] (ORCID:0000000290651303), Monsalve, S. Alonso [ETH Zurich, Institute for Particle Physics and Astrophysics] (ORCID:0000000296787121), Anthony, L. [Imperial College London, Department of Physics], Aoki, S. [Kobe University], Apte, K. A. [Imperial College London, Department of Physics], Arai, T. [University of Tokyo], Arihara, T. [Tokyo Metropolitan University], Arimoto, S. [Kyoto University], Ashida, Y. [Tohoku University], Atkin, E. T. [Imperial College London, Department of Physics], Babu, N. [Louisiana State University] (ORCID:000900071197167X), Baranov, V. [Joint Institute for Nuclear Research], Barker, G. J. [University of Warwick] (ORCID:0000000308850782), Barr, G. [Oxford University] (ORCID:0000000297631882), Barrow, D. [Oxford University] (ORCID:000000015844709X), Bates, P. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3], Bathe-Peters, L. [Oxford University], Batkiewicz-Kwasniak, M. [H. Niewodniczanski Institute of Nuclear Physics PAN], Baudis, N. [Oxford University] (ORCID:0000000263048226), Berardi, V. [INFN Sezione di Bari and Università e Politecnico di Bari] (ORCID:0000000283874568), Berns, L. [Tohoku University] (ORCID:0000000339145496), Bhattacharjee, S. [Louisiana State University], Blanchet, A. [CERN European Organization for Nuclear Research] (ORCID:0000000249920161), Blondel, A. [University of Geneva, Section de Physique, DPNC; Sorbonne Université, Université Paris Diderot, CNRS/IN2P3], Boistier, P. M. M. [IRFU, CEA, Université Paris-Saclay] (ORCID:000900036806473X), Bolognesi, S. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000258164708), Bordoni, S. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000256750631), Boyd, S. B. [University of Warwick], Bronner, C. [Yokohama National University] (ORCID:0000000195556033), Bubak, A. [University of Silesia] (ORCID:0000000176431534), Avanzini, M. Buizza [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000314277572), Caballero, J. A. [University of Silesia] (ORCID:0000000196910874), Cadoux, F. [University of Geneva, Section de Physique, DPNC], Calabria, N. F. [INFN Sezione di Bari and Università e Politecnico di Bari], Cao, S. [Institute For Interdisciplinary Research in Science and Education (IFIRSE), ICISE] (ORCID:0000000290465324), Cap, S. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000178593692), Carabadjac, D. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet; Université Paris-Saclay] (ORCID:0009000648937961), Cartwright, S. L. [University of Sheffield], Casado, M. P. [Institut de Fisica d’Altes Energies (IFAE) - The Barcelona Institute of Science and Technology, Campus UAB; Departament de Fisica de la Universitat Autonoma de Barcelona] (ORCID:0000000203945646), Catanesi, M. G. [INFN Sezione di Bari and Università e Politecnico di Bari], Chakrani, J. [Lawrence Berkeley National Laboratory] (ORCID:0000000251751010), Chalumeau, A. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3], Cherdack, D. [University of Houston] (ORCID:000000023829728X), Chong, P. S. [University of Pennsylvania], Chvirova, A. [Institute for Nuclear Research of the Russian Academy of Sciences], Coleman, J. [University of Liverpool], Collazuol, G. [INFN Sezione di Padova and Universita di Padova] (ORCID:0000000278766124), Cormier, F. [TRIUMF] (ORCID:0000000285626832), Craplet, A. A. L. [Imperial College London, Department of Physics] (ORCID:0009000697722975), Cudd, A. [University of Colorado at Boulder] (ORCID:0000000234897528), D’ago, D. [INFN Sezione di Padova and Universita di Padova] (ORCID:0000000218376351), Dalmazzone, C. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000169455845), Daret, T. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000254298311), Dasgupta, P. [Eötvös Loránd University], Davis, C. [University of Pennsylvania] (ORCID:000900027610401X), Davydov, Yu. I. [Joint Institute for Nuclear Research] (ORCID:0000000198332414), de Perio, P. [The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa] (ORCID:0000000207414471), De Rosa, G. [INFN Sezione di Napoli and Università di Napoli], Dealtry, T. [Lancaster University] (ORCID:0000000322569444), Densham, C. [STFC, Rutherford Appleton Laboratory, Harwell Oxford and Daresbury Laboratory], Dergacheva, A. [Institute for Nuclear Research of the Russian Academy of Sciences] (ORCID:0000000256964234), Banerjee, R. Dharmapal [Wroclaw University] (ORCID:0000000336397532), Lodovico, F. Di [King’s College London, Strand] (ORCID:0000000339522175), Lopez, G. Diaz [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3], Dolan, S. [CERN European Organization for Nuclear Research], Douqa, D. [University of Geneva, Section de Physique, DPNC], Doyle, T. A. [State University of New York at Stony Brook, Stony Brook] (ORCID:0000000301960559), Drapier, O. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000299208834), Duffy, K. E. [Oxford University] (ORCID:0000000278725445), Dumarchez, J. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000292434425), Dunne, P. [Imperial College London, Department of Physics] (ORCID:0000000175431882), Dygnarowicz, K. [Warsaw University of Technology], Eguchi, A. [University of Tokyo], Elias, J. [University of Rochester] (ORCID:0000000257629964), Emery-Schrenk, S. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000330488265), Erofeev, G. [Institute for Nuclear Research of the Russian Academy of Sciences], Ershova, A. [Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet] (ORCID:0000000163352343), Eurin, G. [IRFU, CEA, Université Paris-Saclay] (ORCID:0000000245113960), Fedorova, D. [Institute for Nuclear Research of the Russian Academy of Sciences] (ORCID:0000000217714144), Fedotov, S. [Institute for Nuclear Research of the Russian Academy of Sciences], Feltre, M. [INFN Sezione di Padova and Universita di Padova], Feng, L. [Kyoto University], Ferlewicz, D. [University of Tokyo] (ORCID:0000000243741234), Finch, A. J. [Lancaster University] (ORCID:0000000254336031), Fitton, M. D. [STFC, Rutherford Appleton Laboratory, Harwell Oxford and Daresbury Laboratory], Forza, C. [INFN Sezione di Padova and Universita di Padova] (ORCID:0009000892602354), Friend, M. [High Energy Accelerator Research Organization (KEK); J-PARC], Fujii, Y. [High Energy Accelerator Research Organization (KEK); J-PARC], Fukuda, Y. [Miyagi University of Education] (ORCID:0000000326601958), Furui, Y. [Tokyo Metropolitan University], García-Marcos, J. [Ghent University] (ORCID:0009000327531864), Germer, A. C. [University of Pennsylvania] (ORCID:0009000338809016), Giannessi, L. [University of Geneva, Section de Physique, DPNC] (ORCID:0000000168997116), Giganti, C. [Sorbonne Université, Université Paris Diderot, CNRS/IN2P3] (ORCID:0000000295432345), Girgus, M. [University of Warsaw], Glagolev, V. [Joint Institute for Nuclear Research]. 2025-12-12. Testing T2K’s Bayesian constraints with priors in alternate parameterisations. https://doi.org/10.1140/epjc%2Fs10052-025-14836-0

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