Non-universal \(Z'\) from Fluxed GUTs

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 \(E_8\) point of local enhancement, assuming the minimal \({\cal Z}_2\) 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 \(R_{K}\) and \(R_{K^*}\).