https://doi.org/10.1140/epjc/s10052-021-09810-5
Regular Article - Theoretical Physics
Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
Department of Physics, Center for Neutrino Physics, Virginia Tech, 24061, Blacksburg, VA, USA
Received:
1
August
2021
Accepted:
5
November
2021
Published online:
22
November
2021
In 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.
© The Author(s) 2021
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