AI 中文总结
该研究利用味自旋理论重新推导TM1轻子味混合因子分解,通过新近似恒等式得出混合矩阵源于共形对称。还推导了CP破坏相位与混合角关系,应用于实验数据,有助于分离混合参数经典值,阐明质量产生机制。
AI 中文摘要
利用味自旋理论形式,我们以一种新颖方式重新推导了TM1轻子味混合因子分解,使用了一个涉及U_PMNS第一行元素的此前未报道的近似恒等式。所得混合矩阵是电弱相变前无质量标准模型共形对称的直接结果。除先前结果外,我们推导了CP破坏相位与三个混合角之间的关系。将该关系应用于实验数据表明,TM1分解应以(19/12)Pi作为CP破坏相位的值。在此假设下,TM1的所有四个参数都可用根式表示,这可能有助于在味自旋理论框架中从量子修正中分离出混合参数的经典值,进而有助于阐明质量产生机制。
英文摘要
Using the formalism of the flavor spin theory, we re-derive the TM1 lepton flavor mixing factor decomposition in a novel way, using a previously unreported near identity involving the elements of the first row of U_PMNS. The resulting mixing matrix is a direct consequence of the conformal symmetry of the massless SM before the EW phase transition. In addition to the previously reported results, we derive a relation between the CP violating phase and the three mixing angles. Application of the relation to the experimental data data suggests the TM1 decomposition should use (19/12)Pi as the value for the CP violating phase. With this assumption all four parameters of TM1 may be expressed in radicals, which might help in the separation of the classical values of the mixing parameters from their quantum corrections in the framework of the flavor spin theories. This in turn could help in clarification of the mass generation mechanism.
Comments8 pages. Typos Fixed