Symmetry Finder applied to the 1-3 mass eigenstate exchange symmetry

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dc.contributor.authorMinakata, Hisakazuen
dc.date.accessioned2021-12-14T18:00:11Zen
dc.date.available2021-12-14T18:00:11Zen
dc.date.issued2021-11en
dc.description.abstractIn a previous paper, Symmetry Finder (SF) method is proposed to find the reparametrization symmetry of the state-exchange type in neutrino oscillation in matter. It has been applied successfully to the 1-2 state exchange symmetry in the DMP perturbation theory, yielding the eight symmetries. In this paper, we apply the SF method to the atmospheric-resonance perturbation theory to uncover the 1-3 state relabeling symmetries. The pure 1-3 state symmetry takes the unique position that it is practically impossible to formulate in vacuum under the conventional choice of the flavor mixing matrix. In contrast, our SF method produces the sixteen 1-3 state exchange symmetries in matter. The relationship between the symmetries in the original (vacuum plus matter) Hamiltonian and the ones in the diagonalized system is discussed.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1140/epjc/s10052-021-09810-5en
dc.identifier.eissn1434-6052en
dc.identifier.issn1434-6044en
dc.identifier.issue11en
dc.identifier.other1021en
dc.identifier.urihttp://hdl.handle.net/10919/106988en
dc.identifier.volume81en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleSymmetry Finder applied to the 1-3 mass eigenstate exchange symmetryen
dc.title.serialEuropean Physical Journal Cen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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