# Dark matter and $B$-meson anomalies in a flavor dependent gauge symmetry

## TL;DR

This paper investigates a flavor-dependent gauge symmetry model to explain B-meson decay anomalies, dark matter properties, and other experimental constraints, identifying a narrow viable parameter space.

## Contribution

It formulates a comprehensive gauged $U(1)_{\mu-\tau}$ model addressing B-meson anomalies, dark matter, and collider constraints with detailed parameter space analysis.

## Key findings

- Identified a narrow parameter space consistent with B-meson anomalies and dark matter constraints.
- Demonstrated the model's compatibility with collider and meson mixing bounds.
- Provided predictions for dark matter and $Z'$ masses within the allowed region.

## Abstract

A possibility of explaining the anomalies in the semileptonic $B$-meson decay $B \to K^{*} \mu \bar\mu$ has been explored in the framework of the gauged $U(1)_{\mu-\tau}$ symmetry. Apart from the muon anomalous magnetic moment and neutrino sector, we formulate the model starting with a valid Lagrangian and consider the constraints from the neutral meson mixings, the bounds on direct detection and the relic density of the bosonic dark matter candidate augmented to collider constraints. We search the parameter space, which accommodates the size of the anomaly of the $B \rightarrow K^* \mu \bar \mu$ decay, to satisfy all experimental constraints. We found the allowed region on the plane of the dark matter and $Z'$ masses is a rather narrow compared to the previous analysis.