# Addressing $R_K$ and neutrino mixing in a class of $U(1)_X$ models

## TL;DR

This paper proposes minimal $U(1)_X$ models that simultaneously address the $R_K$ anomaly and reproduce neutrino mixing patterns, predicting a $Z'$ boson detectable at the LHC.

## Contribution

It introduces a class of minimal $U(1)_X$ models with specific charge assignments that explain both $R_K$ and neutrino mixing, including a new Higgs doublet and right-handed neutrinos.

## Key findings

- $Z'$ boson couplings are non-universal, addressing $R_K$ anomaly.
- Model predicts $Z'$ detection prospects at the LHC with 13 TeV.
- Neutrino mixing is generated via Type-I seesaw mechanism.

## Abstract

We present a class of minimal $U(1)_X$ models as a plausible solution to the $R_K$ anomaly that can also help reproduce the neutrino mixing pattern. The symmetries and the corresponding $X$-charges of the fields are determined in a bottom-up approach demanding both theoretical and experimental consistencies. The breaking of $U(1)_X$ symmetry results in a massive $Z^{\prime}$, whose couplings with leptons and quarks are necessarily non-universal to address the $R_K$ anomaly. In the process, an additional Higgs doublet is introduced to generate quark mixings. The mixings in the neutrino sector are generated through Type-I seesaw mechanism by the addition of three right handed neutrinos and a scalar singlet. The $Z^{\prime}$ can be probed with a few hundred fb$^{-1}$ of integrated luminosity at the 13 TeV LHC in the di-muon channel.