在精确中微子时代重访夸克-轻子互补性
Precision-Era Reassessment of Modified Quark--Lepton Complementarity: NuFIT 6.1, Phase-Convention Covariance and Lepton-Number Violation
浏览论文内容
中文总结 AI 辅助
本研究利用最新粒子数据组输入和NuFIT 6.1数据，重访夸克-轻子互补性，检验旧预测并重构相关矩阵，发现宽泛夸克-轻子相关结构比窄大气角预测更具持续性。
中文摘要 AI 辅助
我们利用2026年粒子数据组（Particle Data Group）的夸克混合输入和NuFIT 6.1振荡似然发布，在非平凡相关矩阵框架下重访三代夸克-轻子互补性。首先，我们对2016年发表的窄大气角预测进行回顾性检验，其中心值在正常序和倒序下分别受到17.99和20.43的似然惩罚，而后续依赖序的预测则接近当前似然极小值。随后，我们重构了全复相关矩阵的投影加权系综，保留无约束的夸克-轻子失配相位和精确的逐样本幺正性。第一行保持相对稳定，后两行贡献了约99%的十年平均纹理演化；最强的正常-倒序差异出现在第三行元素，前两个元素的分布重叠系数约为0.41和0.42。当前系综中约72%的部分与三最大混合纹理的距离比与双最大混合纹理的距离更近。结果表明，宽泛的夸克-轻子相关结构比从中推导的最严格大气角预测具有更强的持续性。
英文摘要
Quark-lepton complementarity (QLC) provides a phenomenological framework for comparing quark and lepton flavour structures. We reassess a modified QLC correlation-matrix construction using the 2026 Particle Data Group quark-mixing inputs and the NuFIT 6.1 oscillation likelihoods. The historical prediction $\sin^2θ_{23}=0.4235$ is strongly disfavoured, with $Δχ^2=17.99$ for normal ordering and 20.43 for inverted ordering, whereas later ordering-dependent estimates remain compatible with present preferred regions. Reconstructed ensembles of the complex correlation matrix show that the first row is comparatively stable, while about 99\% of the squared mean-texture evolution occurs in the lower two rows; roughly 72\% of the present ensemble remains closer to the tribimaximal than to the bimaximal reference texture. We further formulate the lepton sector in the symmetric Schechter-Valle parametrization. The oscillation phase appears as the invariant combination $δ=ϕ_{13}-ϕ_{12}-ϕ_{23}$, while independent phase directions remain relevant to lepton-number-violating (LNV) amplitudes. We prove that, for unrestricted diagonal quark-lepton mismatch phases, changing from the standard PDG convention to the symmetric parametrization leaves the full ensemble of $|V_{c,ij}|$ invariant: additional left phases are absorbed into the mismatch matrix and right phases only rephase columns. Consequently, the QLC magnitude texture does not constrain the independent Majorana/LNV phases. The historical $S_1$ and $S_2$ limits are also found to lie close to their phase-agnostic kinematic ceilings.
发表机构
- Rayat Bahra University（拉亚特巴赫拉大学）
- Chitkara University（奇克拉大学）
- Sharda University（沙尔达大学）
机构由 AI 辅助整理，请以论文原文为准。
