We study low energy implications of F-theory GUT models based on SU(5) extended by a $$U(1)'$$ U ( 1 ) ′ symmetry which couples non-universally to the three families of quarks and leptons. This gauge group arises naturally from the maximal exceptional gauge symmetry of an elliptically fibred internal space, at a single point of enhancement, $$E_8\supset SU(5)\times SU(5)'\supset SU(5)\times U(1)^4.$$ E 8 ⊃ S U ( 5 ) × S U ( 5 ) ′ ⊃ S U ( 5 ) × U ( 1 ) 4 . Rank-one fermion mass textures and a tree-level top quark coupling are guaranteed by imposing a $$Z_2$$ Z 2 monodromy group which identifies two abelian factors of the above breaking sequence. The $$U(1)'$$ U ( 1 ) ′ factor of the gauge symmetry is an anomaly free linear combination of the three remaining abelian symmetries left over by $$Z_2$$ Z 2 . Several classes of models are obtained, distinguished with respect to the $$U(1)'$$ U ( 1 ) ′ charges of the representations, and possible extra zero modes coming in vector-like representations. The predictions of these models are investigated and are compared with the LHC results and other related experiments. Particular cases interpreting the B-meson anomalies observed in LHCb and BaBar experiments are also discussed.
We discuss low energy implications of F-theory GUTs based on SU(5) extended by a U(1)' symmetry which couples non-universally to the three chiral families. Several classes of anomaly free models are obtained, distinguished with respect to the U(1)' charges of the representations, and possible extra zero modes coming in vector-like pairs. We considered the case where the spontaneous breaking of the U(1)' symmetry occurs at a few TeV scale and we compute the observables of several flavor violation exotic processes in the effective theory. Particular cases interpreting the B-meson anomalies observed in LHCb experiments are also discussed.
Motivated by experimental measurements indicating deviations from the Standard Model predictions, we discuss F-theory-inspired models, which, in addition to the three chiral generations, contain a vector-like complete fermion family. The analysis takes place in the context of $SU(5)\times U(1)'$ GUT embedded in an $E_8$ covering group, which is associated with the (highest) geometric singularity of the elliptic fibration. In this context, the $U(1)'$ is a linear combination of four abelian factors subjected to the appropriate anomaly cancellation conditions. Furthermore, we require universal $U(1)'$ charges for the three chiral families and different ones for the corresponding fields of the vector-like representations. Under the aforementioned assumptions, we find 192 models that can be classified into five distinct categories with respect to their specific GUT properties. We exhibit representative examples for each such class and construct the superpotential couplings and the fermion mass matrices. We explore the implications of the vector-like states in low-energy phenomenology, including the predictions regarding the B-meson anomalies. The rôle of R-parity violating terms appearing in some particular models of the above construction is also discussed.
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