标题： 具有一个额外维度的SO(10)渐近大统一 显示英文标题

标题： Asymptotic grand unification in SO(10) with one extra dimension

摘要： 渐近大统一提供了一种在紫外极限下逐步统一规范耦合的替代方法，在此极限下它们达到一个非平凡的紫外不动点。 使用一个经济且现实的粒子内容设置，我们证明了渐近大统一可以在一个具有额外维度的5维SO(10)模型中实现。 顶夸克、底夸克和τ轻子的质量被分裂，而中微子质量的小值通过逆Seesaw机制得到解释。 一个中间尺度，即Pati-Salam对称性破缺尺度，被包括在紧致化尺度之下。 由于不存在大的Higgs表示，规范耦合表现出渐近安全性，因此无论初始值如何，它们都是渐近统一的。 相比之下，如果负的规范贡献超过正的Yukawa项，则Yukawa耦合可以实现渐近自由，这需要在紧致化尺度上精确统一。 广泛使用的126维Higgs在此5维渐近SO(10)GUT中不被推荐，因为它倾向于使规范beta函数变为正值，从而破坏渐近安全性。 显示英文摘要

摘要： Asymptotic grand unification provides an alternative approach to gradually unify gauge couplings in the UV limit, where they reach a non-trivial UV fixed point. Using an economical and realistic particle content setup, we demonstrate that asymptotic grand unification can be achieved in a 5D SO(10) model with one extra dimension. The top, bottom and tau masses are split, and the smallness of the neutrino mass is explained via inverse seesaw. One intermediate scale, the Pati-Salam symmetry breaking scale, is included below the compactification scale. Due to the absence of large-dimensional Higgs representations, gauge couplings exhibit asymptotic safety and are thus asymptotically unified, regardless of their initial values. In contrast, Yukawa couplings can achieve asymptotic freedom if the negative gauge contributions dominate over the positive Yukawa terms, requiring exact unification at the compactification scale. The widely-used 126-dimensional Higgs is not recommended in this 5D asymptotic SO(10) GUT, as it tends to drive the gauge beta function positive, compromising asymptotic safety.