改进的双大中微子混合与Gatto-Sartori-Tonin类关系
Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation
摘要：
Gatto Sartori Tonin（GST）关系建立了以夸克质量比$θ_{C}=\sqrt{m_d/m_s}$表示的Cabibbo角，并将其定义为$θ_{13}=\sqrt{m_1/m_3}$，建立了一个基于混合参数$θ_{13}=θ_{C}$和$θ_{12}=θ_{23}$统一的双大激发轻子混合框架。这种修改除了排除了$θ_{13}$消失的可能性外，还提倡最低中微子质量不为零，并强调了中微子质量的正常顺序。该框架进一步增强了列入一个带电的轻子对角化矩阵$U_{lL}$与$ (θ_{12}^l \sim θ_C, δ=0)$。以大统一理论（GUT）尺度构建的模型进一步向下延伸到$Z$玻色子尺度，以了解GST关系和卡比博角的普遍性。
英文摘要：
The Gatto Sartori Tonin (GST) relation which establishes the Cabibbo angle in terms of the quark mass ratio: $θ_{C}=\sqrt{m_d/m_s}$, is instituted as $θ_{13}=\sqrt{m_1/m_3}$ to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: $θ_{13}=θ_{C}$ and $θ_{12}=θ_{23}$. This modification in addition to ruling out the possibility of vanishing $θ_{13}$, advocates for a nonzero lowest neutrino mass and underlines the normal ordering of the neutrino masses. The framework is further enhanced by the inclusion of a charged lepton diagonalizing matrix $U_{lL}$ with $ (θ_{12}^l \sim θ_C, δ=0)$. The model being architected at the Grand unification theory (GUT) scale is further run down upto the $Z$ boson scale to understand the universality of the GST relation and the Cabibbo angle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
