Non-universal $Z'$ from Fluxed GUTs

TL;DR

This paper systematically studies non-universal Z' gauge bosons from F-theory GUT models broken by flux, exploring their phenomenology and potential to explain anomalies in B-decay ratios.

Contribution

It classifies anomaly-free non-universal U(1)' models from F-theory GUTs with minimal spectra, including vector-like families, and assesses their ability to explain B-decay anomalies.

Findings

Classified minimal non-universal U(1)' models from F-theory GUTs.

Identified models capable of addressing R_K and R_{K^*} anomalies.

Discussed phenomenological implications of these models.

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 $R_{K^*}$.