2022/10/17 by Hisakazu Minakata, Minakata, Hisakazu
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Molecular Spectroscopy and Structure #Neutrino Physics Research
paper · pdf · doi:10.48550/arxiv.2210.09453
openalex publication_date 2022/10/17 · openalex created_date 2022/10/21 · openalex updated_date 2026/07/28
We update and summarize the present status of our understanding of the reparametrization symmetry with i ↔ j state exchange in neutrino oscillation in matter. We introduce a systematic method called ``Symmetry Finder'' (SF) to uncover such symmetries, demonstrate its efficient hunting capability, and examine their characteristic features. Apparently they have a local nature: The 1-2 and 1-3 state exchange symmetries exist at around the solar- and atmospheric-resonances, respectively, with the level-crossing states exchanged. However, this view is not supported, to date, in the globally valid Denton et al. (DMP) perturbation theory, which possesses the 1-2 exchange symmetry but not the 1-3. It is probably due to lack of our understanding, and we find a clue for a larger symmetry structure than that we know. In the latter part of this article, we introduce non-unitarity, or unitarity violation (UV), into the νSM neutrino paradigm, a low-energy description of beyond νSM new physics at high (or low) scale. Based on the analyses of UV extended versions of the atmospheric-resonance and the DMP perturbation theories, we argue that the reparametrization symmetry has a diagnostics capability for the theory with the νSM and UV sectors. A speculation is given on the topological nature of the identity which determines the transformation property of the UV α parameters.