Abstract
We make a first systematic study of non-universal TeV scale neutral gauge bosons Z′ arising naturally from a class of F-theory inspired models broken via SU(5) by flux. The phenomenological models we consider may originate from semi-local F-theory GUTs arising from a single E8 point of local enhancement, assuming the minimal Z2 monodromy in order to allow for a renormalisable top quark Yukawa coupling. We classify such non-universal anomaly-free U(1)′ models requiring a minimal low energy spectrum and also allowing for a vector-like family. We discuss to what extent such models can account for the anomalous B-decay ratios RK and RK⁎.
Highlights
In the Standard Model (SM) of strong and electroweak interactions the gauge couplings to lepton fields are flavour independent
In particular we shall use these rules to search for a set of anomaly free models2 in which the low energy effective theory consists of the Minimal Supersymmetric Standard Model (MSSM) augmented by an extra gauged U (1) group broken at the TeV scale, together allowing for a possible vector-like family at that scale
We focus on specific models where both SU (5) grand unified theory (GUT) and abelian symmetries are embedded in E8 and formulate the anomaly cancellation conditions which constrain the spectrum of the emerging effective models
Summary
In the Standard Model (SM) of strong and electroweak interactions the gauge couplings to lepton fields are flavour independent. Are many such extra gauged abelian symmetries [9], which are normally assumed to be broken at the high energy scale These gauge bosons are assumed to have universal couplings to quarks and leptons [10], there is no reason in principle from the point of view of F-theory why this should be the case. In particular we shall use these rules to search for a set of anomaly free models in which the low energy effective theory consists of the Minimal Supersymmetric Standard Model (MSSM) augmented by an extra gauged U (1) group broken at the TeV scale, together allowing for a possible vector-like family at that scale.
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