Almost general analysis of $μ$-$τ$ reflection symmetry perturbed by charged leptons and its testability by DUNE and T2HK
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| Format: | Preprint |
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2025
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| author | Yang, Masaki J. S. |
| author_facet | Yang, Masaki J. S. |
| contents | In this paper, we generally analyze the $μ- τ$ reflection symmetry modified by small mixings of charged leptons and how will future experiments verify deviations from the predictions of the symmetry. As an approximation, the left-handed diagonalization $U_{e}$ of charged leptons is assumed to have a similar magnitude as the CKM matrix. In other words, the 1-3 mixing is neglected and the 1-2 and 2-3 mixing are to be approximately $O(0.1)$. The Dirac CP phase $δ$ of the MNS matrix is evaluated in such parameter regions. As a result, deviations from the predictions $\sin θ_{23} = π/4$ and $δ= \pm π/2$ depend on relative CP phases between $U_{e}$ and diagonalization of neutrinos $U_ν$. While phases of the second and third generations cause only about $\pm 10^{\circ}$ deviations for the Dirac phase $δ$, the phase of the first generation can cause up to $\pm 30^{\circ}$. This flavor dependence is distinguished to some extent by the next-generation experiments. On the other hand, if $δ$ is not observed, such a scenario is excluded by about 5 years of observation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_00365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost general analysis of $μ$-$τ$ reflection symmetry perturbed by charged leptons and its testability by DUNE and T2HK Yang, Masaki J. S. High Energy Physics - Phenomenology In this paper, we generally analyze the $μ- τ$ reflection symmetry modified by small mixings of charged leptons and how will future experiments verify deviations from the predictions of the symmetry. As an approximation, the left-handed diagonalization $U_{e}$ of charged leptons is assumed to have a similar magnitude as the CKM matrix. In other words, the 1-3 mixing is neglected and the 1-2 and 2-3 mixing are to be approximately $O(0.1)$. The Dirac CP phase $δ$ of the MNS matrix is evaluated in such parameter regions. As a result, deviations from the predictions $\sin θ_{23} = π/4$ and $δ= \pm π/2$ depend on relative CP phases between $U_{e}$ and diagonalization of neutrinos $U_ν$. While phases of the second and third generations cause only about $\pm 10^{\circ}$ deviations for the Dirac phase $δ$, the phase of the first generation can cause up to $\pm 30^{\circ}$. This flavor dependence is distinguished to some extent by the next-generation experiments. On the other hand, if $δ$ is not observed, such a scenario is excluded by about 5 years of observation. |
| title | Almost general analysis of $μ$-$τ$ reflection symmetry perturbed by charged leptons and its testability by DUNE and T2HK |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.00365 |