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Up-type quark masses in SU(5) F-theory models

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arxiv 1307.8089 v1 pith:HUBGBBBK submitted 2013-07-30 hep-th hep-ph

Up-type quark masses in SU(5) F-theory models

classification hep-th hep-ph
keywords f-theoryquarkcouplingsmassmodelsu-quarkyukawaallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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