论文标题
带电瘦素的辐射衰减是用于主动性中微子混合和违反CP的单位性多边形的约束
Radiative decays of charged leptons as constraints of unitarity polygons for active-sterile neutrino mixing and CP violation
论文作者
论文摘要
我们计算出$（α，β）=（α，β）=（e，μ）$，$（e，τ）$和$（μ，τ）$的辐射$β^ - \的速率，通过获取{\ it n nittal}的$（3 + n）$（3 + N）$（3 + n）$ sterile nitive Condect and In It It It It It It It It It It It It It It It condece condece condection和3 $ pontecorvo-maki-nakagawa-sakata（PMNS）矩阵$ u $从$β^ - \ \ \ \α^ - +γ$中衰减的{\ itrimilalitientity侵犯}方案与$ N $ N $ n $ n $ heaugh oghume jausper after a $ n $ n $ 5 $ 5 $ 5 $ 5/3/3/3/3/3/3/3 $ 5/3/3 $ 5/3 $ 5/3/3差异。在这种自然的Seesaw情况下，我们表明，$β^ - \至α^ - +γ$的速率可用于清洁，强烈地约束单位性多边形的有效顶点，并将其几何形状与两个载体形成的三个子三角形的几何形状进行比较。 $ u^{} _ {αj} u^*_ {βJ} $（对于复杂平面的$ i \ neq j $）。我们发现，可以用类似jarlskog的cp违规不变式来描述这种子三角形的区域，$ {\ cal j}^{ij} _ {αβ} $，它们的小差异表示对PMNS Matrix Matrix $ u $ u $ $ $ $ $ $ $ $ $ $ $ $的微小差异。
We calculate the rates of radiative $β^- \to α^- + γ$ decays for $(α, β) = (e, μ)$, $(e, τ)$ and $(μ, τ)$ by taking the {\it unitary} gauge in the $(3+n)$ active-sterile neutrino mixing scheme, and make it clear that constraints on the unitarity of the $3\times 3$ Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix $U$ extracted from $β^- \to α^- + γ$ decays in the {\it minimal unitarity violation} scheme differ from those obtained in the canonical seesaw mechanism with $n$ heavy Majorana neutrinos by a factor $5/3$. In such a natural seesaw case we show that the rates of $β^- \to α^- + γ$ can be used to cleanly and strongly constrain the effective apex of a unitarity polygon, and compare its geometry with the geometry of its three sub-triangles formed by two vectors $U^{}_{αi} U^*_{βi}$ and $U^{}_{αj} U^*_{βj}$ (for $i \neq j$) in the complex plane. We find that the areas of such sub-triangles can be described in terms of the Jarlskog-like invariants of CP violation ${\cal J}^{ij}_{αβ}$, and their small differences signify slight unitarity violation of the PMNS matrix $U$.
