Non-universal Z′ from fluxed GUTs

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⁎.