Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) unification
Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) unification
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F 理论 SU(5) 统一中的非微扰效应和 Yukawa 层次结构
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
D. Regalado
中科院分区：
文献类型：
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作者：
A. Font;L. Ibáñez;F. Marchesano;D. Regalado
一个抽象的局部SU(5) f理论模型自然地导致第三代夸克和轻子的汤川耦合，但对于较轻的几代来说，汤川耦合是难以捉摸的。来自量规通量的修正不能产生所需的耦合，并且天真地同样适用于瞬子效应。然而，我们重新审视了瞬时子在f理论GUT结构中的作用，并发现以前在文献中被忽视的贡献诱导了汤川耦合的主要非微扰修正。我们将我们的结果应用于局部SU(5) f -理论GUTs中$ 10次overline{5}次overline{5} $耦合的情况，表明非摄动效应自然导致分层Yukawas。将SU(5)分解为SM所需的超荷通量不影响全纯Yukawas，但确实改变了波函数的轮廓，解释了统一尺度上d -夸克和轻子耦合之间的差异。非扰动修正和磁通量的结合允许描述在SM中测量的第二代和第三代轻子和d -夸克质量。
A bstractLocal SU(5) F-theory models lead naturally to Yukawa couplings for the third generation of quarks and leptons, but inducing Yukawas for the lighter generations has proven elusive. Corrections coming from gauge fluxes fail to generate the required couplings, and naively the same applies to instanton effects. We nevertheless revisit the effect of instantons in F-theory GUT constructions and find that contributions previously ignored in the literature induce the leading non-perturbative corrections to the Yukawa couplings. We apply our results to the case of $ 10 imes overline{5} imes overline{5} $ couplings in local SU(5) F-theory GUTs, showing that non-perturbative effects naturally lead to hierarchical Yukawas. The hypercharge flux required to break SU(5) down to the SM does not affect the holomorphic Yukawas but does modify the profile of the wavefunctions, explaining the difference between the D-quark and lepton couplings at the unification scale. The combination of non-perturbative corrections and magnetic fluxes allows to describe the measured lepton and D-quark masses of second and third generations in the SM.