Non-universal $Z^{\prime }$ from Fluxed GUTs

Abstract

We make a first systematic study of non-universal TeV scale neutral gauge bosons $Z^{\prime }$ 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 ${\mathcal{Z}}_2$ monodromy in order to allow for a renormalisable top quark Yukawa coupling. We classify such non-universal anomaly-free $U(1{)}^{\prime }$ 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 $R_{K^{\ast }}$.

Comments: 14 pages