论文标题
在阳性边界的凸锥上中微子质量的Seesaw模型
Seesaw Models of Neutrino Masses on the Convex Cone of Positivity Bounds
论文作者
论文摘要
阳性界限的凸几何框架使我们能够从底部探索新物理模型中的紫外线（UV）状态。紫外线在三种类型的SEESAW模型中指出，用于微小的Majorana中微子质量，是$ {\ rm su}（2）（2）^{} _ {\ rm l} $ gauge组的$ {\ rm su}（\ rm su}（2）^{\ rm su} $ gauge组，自然适合此框架。由于由尺寸five five Weinberg操作员引起的中微子群众暗示，紫外线状态可能会将左撇子Lepton Doublet $ L $和Higgs Doublet $ H $搭配到左手，我们构建了一个积极键的凸锥，以限制由$ l $或$ h $组成的尺寸 - 八个操作员。这种结构提供了一种新颖的方式，可以区分不同的SeeSaw模型并在Seesaw量表上得出下限。
The convex geometric framework of positivity bounds allows us to explore the ultraviolet (UV) states in new physics models from the bottom up. The UV states in three types of seesaw models for tiny Majorana neutrino masses, as irreducible representations of the ${\rm SU}(2)^{}_{\rm L}$ gauge group, naturally fit into this framework. Since neutrino masses arising from the dimension-five Weinberg operator imply that the UV states may couple to the left-handed lepton doublet $L$ and the Higgs doublet $H $, we construct a convex cone of positivity bounds to constrain the dimension-eight operators consisting of $L$ or $H$. Such a construction offers a novel way to distinguish between different seesaw models and derive lower bounds on the seesaw scale.
