论文标题
阳性圆锥中中微子质量的起源
Origin of Neutrino Masses on the Convex Cone of Positivity Bounds
论文作者
论文摘要
我们在Wilson系数的线性空间中展示了涉及左手Lepton Doublet $ L $和Higgs Doublet $ h $ H $ H $ H $ H $ H $ H $ H $ H $ H $ H $ H $ H $ H $ H $的几何结构。凸锥的边界产生了威尔逊系数上的阳性界限，而极端射线对应于超紫罗莱let完成理论中的独特粒子状态。在三种类型的中微子质量的典型的Seesaw模型中，我们发现只有I型Seesaw模型中的右手中微子显示为极值射线之一，而III型II和III型Seesaw模型中的重颗粒才能使用锥体内。接近I型Seesaw模型的极端射线的相关威尔逊系数的实验确定将明确地固定或排除后者作为中微子质量的起源。这一发现提供了一种新颖的方式，可以将最受欢迎的SeeSAW模型与其他模型区分开，并加强SMEFT，作为一种特别有力的工具，可以探索超出标准模型的新物理。
We exhibit the geometric structure of the convex cone in the linear space of the Wilson coefficients for the dimension-8 operators involving the left-handed lepton doublet $L$ and the Higgs doublet $H$ in the Standard Model effective field theory (SMEFT). The boundary of the convex cone gives rise to the positivity bounds on the Wilson coefficients, while the extremal ray corresponds to the unique particle state in the theory of ultra-violet completion. Among three types of canonical seesaw models for neutrino masses, we discover that only right-handed neutrinos in the type-I seesaw model show up as one of extremal rays, whereas the heavy particles in the type-II and type-III seesaw models live inside the cone. The experimental determination of the relevant Wilson coefficients close to the extremal ray of type-I seesaw model will unambiguously pin down or rule out the latter as the origin of neutrino masses. This discovery offers a novel way to distinguish the most popular seesaw model from others, and also strengthens the SMEFT as an especially powerful tool to probe new physics beyond the Standard Model.
