论文标题
零1-3风味混合假设的含义：$θ_{23}^\ mathrm {pmns} $和$δ^\ mathrm {pmns} $的预测
Implications of the Zero 1-3 Flavour Mixing Hypothesis: Predictions for $θ_{23}^\mathrm{PMNS}$ and $δ^\mathrm{PMNS}$
论文作者
论文摘要
我们在Lepton和Quark部门中的混合总和关系关系在假设的假设是，风味混合矩阵的1-3个要素（$ v^u_l，v^d_l，v^d_l，v^e_l，v^ν_l$）在风味上为零。我们考虑了该“零1-3风味混合假设”的有效性产生的确切关系，并根据当前的实验数据（包括RG运行的效果）分析其含义。特别是，我们分析了$θ_{13}^\ mathrm {pmns} $的现有精确测量如何允许在模型中以$θ_{23}^\ mathrm {pmns} $的$θ_{23}^\ mathrm {pmns} $得出模型中的预测，并具有约束的$θ_{12}}^}^\ mathrm {e} $ {e} $。如有示例，我们计算了$θ_{23}^\ mathrm {pmns} $的预测，这些预测与$θ_{12}^\ mathrm {e} $ to $θ_} $ to $θ_{12}^\ m gathrm mathrm {d} $相关的Pati-salam型号和SU（5）guts中出现。我们还得出了一种新颖的“ Lepton相总和规则”，这是在小型充电Lepton混合贡献的附加假设下有效的。我们此外指出，在肠道风味模型的背景下，夸克和Lepton CP违反了阶段$δ^\ mathrm {ckm} $和$Δ^\ mathrm {pmns} $都可以从质量矩阵中的单个想象元素中预测。
We revisit mixing sum rule relations in the lepton and quark sectors under the assumption that the 1-3 elements of the flavour mixing matrices ($V^u_L,V^d_L,V^e_L,V^ν_L$) are zero in the flavour basis. We consider the exact relations resulting from the validity of this "zero 1-3 flavour mixing hypothesis" and analyse their implications based on the current experimental data, including effects from RG running. In particular, we analyse how the existing precise measurement of $θ_{13}^\mathrm{PMNS}$ allows to derive predictions for $θ_{23}^\mathrm{PMNS}$ in models with constrained $θ_{12}^\mathrm{e}$. As examples, we calculate the predictions for $θ_{23}^\mathrm{PMNS}$ which arise in classes of Pati-Salam models and SU(5) GUTs that relate $θ_{12}^\mathrm{e}$ to $θ_{12}^\mathrm{d}$. We also derive a novel "lepton phase sum rule", valid under the additional assumption of small charged lepton mixing contributions. We furthermore point out that, in the context of GUT flavour models, the quark and lepton CP violating phases $δ^\mathrm{CKM}$ and $δ^\mathrm{PMNS}$ can both be predicted from a single imaginary element in the mass matrices.
