SU（5）F理论模型中的上型夸克质量
Up-type quark masses in SU(5) F-theory models
摘要：
F-理论SU（5）统一被认为是顶夸克质量自然很大的一种情况，与II型SU（5）模型相反。我们从局部SU（5）F理论模型的角度分析了这一说法，通过明确计算在E6奇点附近发展的10 x 10 x 5汤川耦合。通过T-膜实现这种奇点允许顶夸克具有非平凡的质量，而较轻的上型夸克仍然具有消失的汤川耦合。尽管如此，我们表明，通过考虑瞬子效应的非零Yukawas诱导所有的U-夸克家庭，连同一个层次结构的超势的水平。最后，通过求解内部波函数轮廓，我们计算物理U夸克汤川耦合，并表明，这种F-理论的情况下，可以描述测量的顶夸克质量，以及观察到的U夸克质量的导数。
英文摘要：
F-theory SU(5) unification has been proposed as a scenario where the mass of the top quark is naturally large, as opposed to type II SU(5) models. We analyze this claim from the viewpoint of local SU(5) F-theory models, by explicitly computing the 10 x 10 x 5 Yukawa couplings that are developed in the vicinity of an E6 singularity. Realizing this singularity via T-branes allows for a non-trivial mass for the top quark, while lighter generations of up-type quarks still have vanishing Yukawa couplings. Nevertheless, we show that by taking instanton effects into account non-vanishing Yukawas are induced for all U-quark families, together with a hierarchical structure at the level of the superpotential. Finally, by solving for internal wavefunction profiles we compute physical U-quark Yukawa couplings and show that this F-theory scenario allows to describe the measured top quark mass, as well as the observed quotients of U-quark masses.
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