AI 中文总结
本研究在最小 seesaw 模型框架内，通过RG演化研究μ-τ反射对称性的辐射破缺，经数值分析确定符合低能实验约束的高能参数空间，并对比了常规I型 seesaw 与最小 seesaw 框架的RG演化效应。
AI 中文摘要
μ-τ反射对称性因预言最大大气混合角及狄拉克CP破坏相δ=3π/2而受到广泛关注，该结果与T2K和NOνA实验的迹象相符。由于当前中微子振荡数据与该对称性的精确预言存在微小但显著的偏差，理解其破缺的起源已成为重要问题。本工作在最小 seesaw 模型框架内，通过中微子参数的重整化群（RG）演化，研究μ-τ反射对称性的辐射破缺。假设该对称性在味对称（seesaw）标度下严格成立，我们检验RG演化后是否能重现观测到的低能中微子振荡数据。由于最小 seesaw 模型的秩-2结构，一个轻中微子质量本征值为零，将高能中微子独立参数数量从5个减少至4个。我们开展系统的数值分析，以确定可在低能下重现当前实验约束的允许高能参数空间。此外，通过分析太阳和大气质量平方差的RG演化，我们对常规I型 seesaw 与最小 seesaw 框架进行了对比研究。
英文摘要
The $μ$--$τ$ reflection symmetry has attracted considerable attention owing to its prediction of a maximal atmospheric mixing angle and a Dirac CP-violating phase $δ=3π/2$, consistent with indications from the T2K and NO$ν$A experiments. Since current neutrino oscillation data exhibit small but significant deviations from the exact symmetry predictions, understanding the origin of its breaking has become an important problem. In this work, we investigate the radiative breaking of $μ$--$τ$ reflection symmetry within the framework of the minimal seesaw model through the renormalization group (RG) evolution of neutrino parameters. Assuming the symmetry to be exact at the flavor symmetry (seesaw) scale, we examine whether the observed low-energy neutrino oscillation data can be reproduced after RG evolution. Owing to the rank-two structure of the minimal seesaw model, one light neutrino mass eigenvalue vanishes, reducing the number of independent high-energy neutrino parameters from five to four. We perform a systematic numerical analysis to determine the allowed high-energy parameter space capable of reproducing the current experimental constraints at low energies. Furthermore, a comparative study between the conventional Type-I seesaw and the minimal seesaw frameworks is carried out by analyzing the RG evolution of the solar and atmospheric mass-squared differences.
