# UV completion of an axial, leptophobic, $Z^\prime$

## TL;DR

This paper constructs a minimal ultraviolet-complete model for a leptophobic, axially coupled $Z'$ boson that interacts with quarks, addressing anomaly cancellation and extending previous simplified models.

## Contribution

It provides the first UV completion for a leptophobic, purely axial $Z'$-quark coupling model, including detailed anomaly cancellation structures.

## Key findings

- Successfully constructs a UV-complete model satisfying leptophobia and axial coupling.
- Reveals complex anomaly cancellation requirements involving dark and Higgs sectors.
- Extends the understanding of $Z'$-portal dark matter models beyond simplified frameworks.

## Abstract

The $Z'$-portal is one of most popular and well-explored scenarios of dark matter (DM). To avoid the strong constraints coming from dilepton resonance searches at the LHC and direct detection of DM, it is usually required that in addition to being leptophobic, the $Z'$ is axially coupled to either the (fermionic) DM or the standard model (SM) quarks. The first possibility has been extensively studied both in the context of simplified model and UV complete scenarios. However, the studies on the second possibiliy are largely confined to simplified models only. Here, we construct the minimal UV completion of these models satisfying both the criteria of leptophobia and purely axial $Z'-$quark coupling. The anomaly cancellation conditions demand highly non-trivial structures, not only in the dark sector, but also in the Higgs sector.