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Almost general analysis of μ-τ reflection symmetry perturbed by charged leptons and its testability by DUNE and T2HK

2025/04/01 by Masaki J. S. Yang, Yang, Masaki J. S.
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2504.00365

openalex publication_date 2025/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Ue 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 θ23 = π/4 and δ= ± π/2 depend on relative CP phases between Ue and diagonalization of neutrinos Uν. While phases of the second and third generations cause only about ± 10 deviations for the Dirac phase δ, the phase of the first generation can cause up to ± 30. 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.

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